diff --git a/README.md b/README.md index 3405a59..d97894e 100644 --- a/README.md +++ b/README.md @@ -73,8 +73,10 @@ conda config --add channels https://mirrors.tuna.tsinghua.edu.cn/anaconda/pkgs/f 相关文件和介绍在 [multiagent](https://github.com/ACMClassCourse-2023/PPCA-AIPacMan-2024/tree/main/multiagent) 文件夹下。 -## 前瞻（开发中项目） - ### Logic -相关文件和介绍在 [logic](https://github.com/ACMClassCourse-2023/PPCA-AIPacMan-2024/tree/main/logic) 文件夹下。 \ No newline at end of file +相关文件和介绍在 [logic](https://github.com/ACMClassCourse-2023/PPCA-AIPacMan-2024/tree/main/logic) 文件夹下。 + +## 前瞻（开发中项目） + +### Tracking \ No newline at end of file diff --git a/logic/README.md b/logic/README.md index 9f8d269..532488d 100644 --- a/logic/README.md +++ b/logic/README.md @@ -1,5 +1,3 @@ -~~coming soon~~ - #### 介绍 在这个项目中，你将编写简单的 Python 函数，生成描述 Pacman 物理状态（记为 **pacphysics**）的逻辑句子。然后，你将使用 SAT 求解器 pycosat，解决与 **规划**（生成动作序列以到达目标位置并吃掉所有点）、**定位**（根据本地传感器模型在地图中找到自己）、**建图**（从零开始构建地图）以及 **SLAM**（同时定位与建图）相关的逻辑推理任务。 @@ -308,8 +306,8 @@ Pacman 从已知地图开始，但起始位置未知。它有一个 4-bit 的传 - **添加到知识库**：墙所在的位置（`walls_list`）和不在的位置（not in `walls_list`）。 - **对于在 `range(agent.num_timesteps)` 中的 $t$**： - - 添加 pacphysics、动作和感知信息到知识库。 - - 使用更新的知识库查找可能的 Pacman 位置。 + - [添加 pacphysics、动作和感知信息到知识库](https://github.com/ACMClassCourse-2023/PPCA-AIPacMan-2024/blob/main/logic/README.md#%E5%B0%86-pacphysics%E5%8A%A8%E4%BD%9C%E5%92%8C%E6%84%9F%E7%9F%A5%E4%BF%A1%E6%81%AF%E6%B7%BB%E5%8A%A0%E5%88%B0-kb)。 + - [使用更新的知识库查找可能的 Pacman 位置](https://github.com/ACMClassCourse-2023/PPCA-AIPacMan-2024/blob/main/logic/README.md#%E4%BD%BF%E7%94%A8%E6%9B%B4%E6%96%B0%E7%9A%84-kb-%E6%9F%A5%E6%89%BE%E5%8F%AF%E8%83%BD%E7%9A%84-pacman-%E4%BD%8D%E7%BD%AE)。 - 在时间 $t$ 上调用 `agent.moveToNextState(action_t)`。 - 生成（`yield`）可能的位置。 @@ -336,8 +334,8 @@ Pacman 现在知道了他的起始位置，但不知道墙的位置（除了外 1. 获取 Pacman 的初始位置 `(pac_x_0, pac_y_0)`，并将其添加到知识库中。同时添加该位置是否有墙。 2. 对于 `t` 在 `range(agent.num_timesteps)` 中： - - 添加 pacphysics、动作和感知信息到知识库。 - - 使用更新的知识库查找可证明的墙位置。 + - [添加 pacphysics、动作和感知信息到知识库](https://github.com/ACMClassCourse-2023/PPCA-AIPacMan-2024/blob/main/logic/README.md#%E5%B0%86-pacphysics%E5%8A%A8%E4%BD%9C%E5%92%8C%E6%84%9F%E7%9F%A5%E4%BF%A1%E6%81%AF%E6%B7%BB%E5%8A%A0%E5%88%B0-kb)。 + - [使用更新的知识库查找可证明的墙位置](https://github.com/ACMClassCourse-2023/PPCA-AIPacMan-2024/blob/main/logic/README.md#%E4%BD%BF%E7%94%A8%E6%9B%B4%E6%96%B0%E7%9A%84-kb-%E6%9F%A5%E6%89%BE%E5%8F%AF%E8%AF%81%E6%98%8E%E7%9A%84%E5%A2%99%E4%BD%8D%E7%BD%AE)。 - 在时间 $t$ 上调用 `agent.moveToNextState(action_t)`。 - 生成 `known_map`。 @@ -361,9 +359,9 @@ python autograder.py -q q7 1. 获取 Pacman 的初始位置 `(pac_x_0, pac_y_0)`，并将其添加到知识库（KB）中。相应更新 `known_map` 并将适当的表达式添加到知识库。 2. 对于 $t$ 在 `range(agent.num_timesteps)` 中： - - 添加 pacphysics、动作和感知信息到知识库。使用 `SLAMSensorAxioms`、`SLAMSuccessorAxioms` 和 `numAdjWallsPerceptRules`。 - - 使用更新的知识库查找可证明的墙位置。 - - 使用更新的知识库查找可能的 Pacman 位置。 + - [添加 pacphysics、动作和感知信息到知识库](https://github.com/ACMClassCourse-2023/PPCA-AIPacMan-2024/blob/main/logic/README.md#%E5%B0%86-pacphysics%E5%8A%A8%E4%BD%9C%E5%92%8C%E6%84%9F%E7%9F%A5%E4%BF%A1%E6%81%AF%E6%B7%BB%E5%8A%A0%E5%88%B0-kb)。使用 `SLAMSensorAxioms`、`SLAMSuccessorAxioms` 和 `numAdjWallsPerceptRules`。 + - [使用更新的知识库查找可证明的墙位置](https://github.com/ACMClassCourse-2023/PPCA-AIPacMan-2024/blob/main/logic/README.md#%E4%BD%BF%E7%94%A8%E6%9B%B4%E6%96%B0%E7%9A%84-kb-%E6%9F%A5%E6%89%BE%E5%8F%AF%E8%AF%81%E6%98%8E%E7%9A%84%E5%A2%99%E4%BD%8D%E7%BD%AE)。 + - [使用更新的知识库查找可能的 Pacman 位置](https://github.com/ACMClassCourse-2023/PPCA-AIPacMan-2024/blob/main/logic/README.md#%E4%BD%BF%E7%94%A8%E6%9B%B4%E6%96%B0%E7%9A%84-kb-%E6%9F%A5%E6%89%BE%E5%8F%AF%E8%83%BD%E7%9A%84-pacman-%E4%BD%8D%E7%BD%AE)。 - 在时间 $t$ 上调用 `agent.moveToNextState(action_t)`。 - 生成 `known_map` 和 `possible_locations`。 diff --git a/tracking/VERSION b/tracking/VERSION new file mode 100644 index 0000000..c4cdd43 --- /dev/null +++ b/tracking/VERSION @@ -0,0 +1 @@ +v3.000 diff --git a/tracking/autograder.py b/tracking/autograder.py new file mode 100644 index 0000000..63f1df4 --- /dev/null +++ b/tracking/autograder.py @@ -0,0 +1,428 @@ +# autograder.py +# ------------- +# Licensing Information: You are free to use or extend these projects for +# educational purposes provided that (1) you do not distribute or publish +# solutions, (2) you retain this notice, and (3) you provide clear +# attribution to UC Berkeley, including a link to http://ai.berkeley.edu. +# +# Attribution Information: The Pacman AI projects were developed at UC Berkeley. +# The core projects and autograders were primarily created by John DeNero +# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu). +# Student side autograding was added by Brad Miller, Nick Hay, and +# Pieter Abbeel (pabbeel@cs.berkeley.edu). + + +# imports from python standard library +import grading +import importlib.util +import optparse +import os +import re +import sys +import projectParams +import random +random.seed(0) +try: + from pacman import GameState +except: + pass + +# register arguments and set default values +def readCommand(argv): + parser = optparse.OptionParser(description = 'Run public tests on student code') + parser.set_defaults(generateSolutions=False, edxOutput=False, gsOutput=False, muteOutput=False, printTestCase=False, noGraphics=False) + # BEGIN SOLUTION NO PROMPT + parser.set_defaults(generatePublicTests=False) + # END SOLUTION NO PROMPT + parser.add_option('--test-directory', + dest = 'testRoot', + default = 'test_cases', + help = 'Root test directory which contains subdirectories corresponding to each question') + parser.add_option('--student-code', + dest = 'studentCode', + default = projectParams.STUDENT_CODE_DEFAULT, + help = 'comma separated list of student code files') + parser.add_option('--code-directory', + dest = 'codeRoot', + default = "", + help = 'Root directory containing the student and testClass code') + parser.add_option('--test-case-code', + dest = 'testCaseCode', + default = projectParams.PROJECT_TEST_CLASSES, + help = 'class containing testClass classes for this project') + parser.add_option('--generate-solutions', + dest = 'generateSolutions', + action = 'store_true', + help = 'Write solutions generated to .solution file') + parser.add_option('--edx-output', + dest = 'edxOutput', + action = 'store_true', + help = 'Generate edX output files') + parser.add_option('--gradescope-output', + dest = 'gsOutput', + action = 'store_true', + help = 'Generate GradeScope output files') + parser.add_option('--mute', + dest = 'muteOutput', + action = 'store_true', + help = 'Mute output from executing tests') + parser.add_option('--print-tests', '-p', + dest = 'printTestCase', + action = 'store_true', + help = 'Print each test case before running them.') + parser.add_option('--test', '-t', + dest = 'runTest', + default = None, + help = 'Run one particular test. Relative to test root.') + parser.add_option('--question', '-q', + dest = 'gradeQuestion', + default = None, + help = 'Grade one particular question.') + parser.add_option('--no-graphics', + dest = 'noGraphics', + action = 'store_true', + help = 'No graphics display for pacman games.') + # BEGIN SOLUTION NO PROMPT + parser.add_option('--generate-public-tests', + dest = 'generatePublicTests', + action = 'store_true', + help = 'Generate ./test_cases/* from ./private_test_cases/*') + # END SOLUTION NO PROMPT + (options, args) = parser.parse_args(argv) + return options + + +# confirm we should author solution files +def confirmGenerate(): + print('WARNING: this action will overwrite any solution files.') + print('Are you sure you want to proceed? (yes/no)') + while True: + ans = sys.stdin.readline().strip() + if ans == 'yes': + break + elif ans == 'no': + sys.exit(0) + else: + print('please answer either "yes" or "no"') + + +# TODO: Fix this so that it tracebacks work correctly +# Looking at source of the traceback module, presuming it works +# the same as the intepreters, it uses co_filename. This is, +# however, a readonly attribute. +def setModuleName(module, filename): + functionType = type(confirmGenerate) + classType = type(optparse.Option) + + for i in dir(module): + o = getattr(module, i) + if hasattr(o, '__file__'): continue + + if type(o) == functionType: + setattr(o, '__file__', filename) + elif type(o) == classType: + setattr(o, '__file__', filename) + # TODO: assign member __file__'s? + #print i, type(o) + + +#from cStringIO import StringIO + +def loadModuleString(moduleSource): + # Below broken, imp doesn't believe its being passed a file: + # ValueError: load_module arg#2 should be a file or None + # + #f = StringIO(moduleCodeDict[k]) + #tmp = imp.load_module(k, f, k, (".py", "r", imp.PY_SOURCE)) + tmp = imp.new_module(k) + exec(moduleCodeDict[k],tmp.__dict__) + setModuleName(tmp, k) + return tmp + +import py_compile + +def loadModuleFile(moduleName, filePath): + # https://docs.python.org/3/library/importlib.html#importing-a-source-file-directly + spec = importlib.util.spec_from_file_location(moduleName, filePath) + module = importlib.util.module_from_spec(spec) + spec.loader.exec_module(module) + return module + + +def readFile(path, root=""): + "Read file from disk at specified path and return as string" + with open(os.path.join(root, path), 'r') as handle: + return handle.read() + + +####################################################################### +# Error Hint Map +####################################################################### + +# TODO: use these +ERROR_HINT_MAP = { + 'q1': { + "": """ + We noticed that your project threw an IndexError on q1. + While many things may cause this, it may have been from + assuming a certain number of successors from a state space + or assuming a certain number of actions available from a given + state. Try making your code more general (no hardcoded indices) + and submit again! + """ + }, + 'q3': { + "": """ + We noticed that your project threw an AttributeError on q3. + While many things may cause this, it may have been from assuming + a certain size or structure to the state space. For example, if you have + a line of code assuming that the state is (x, y) and we run your code + on a state space with (x, y, z), this error could be thrown. Try + making your code more general and submit again! + + """ + } +} + +import pprint + +def splitStrings(d): + d2 = dict(d) + for k in d: + if k[0:2] == "__": + del d2[k] + continue + if d2[k].find("\n") >= 0: + d2[k] = d2[k].split("\n") + return d2 + + +def printTest(testDict, solutionDict): + pp = pprint.PrettyPrinter(indent=4) + print("Test case:") + for line in testDict["__raw_lines__"]: + print(" |", line) + print("Solution:") + for line in solutionDict["__raw_lines__"]: + print(" |", line) + + +def runTest(testName, moduleDict, printTestCase=False, display=None): + import testParser + import testClasses + for module in moduleDict: + setattr(sys.modules[__name__], module, moduleDict[module]) + + testDict = testParser.TestParser(testName + ".test").parse() + solutionDict = testParser.TestParser(testName + ".solution").parse() + test_out_file = os.path.join('%s.test_output' % testName) + testDict['test_out_file'] = test_out_file + testClass = getattr(projectTestClasses, testDict['class']) + + questionClass = getattr(testClasses, 'Question') + question = questionClass({'max_points': 0}, display) + testCase = testClass(question, testDict) + + if printTestCase: + printTest(testDict, solutionDict) + + # This is a fragile hack to create a stub grades object + grades = grading.Grades(projectParams.PROJECT_NAME, [(None,0)]) + testCase.execute(grades, moduleDict, solutionDict) + + +# returns all the tests you need to run in order to run question +def getDepends(testParser, testRoot, question): + allDeps = [question] + questionDict = testParser.TestParser(os.path.join(testRoot, question, 'CONFIG')).parse() + if 'depends' in questionDict: + depends = questionDict['depends'].split() + for d in depends: + # run dependencies first + allDeps = getDepends(testParser, testRoot, d) + allDeps + return allDeps + +# get list of questions to grade +def getTestSubdirs(testParser, testRoot, questionToGrade): + problemDict = testParser.TestParser(os.path.join(testRoot, 'CONFIG')).parse() + if questionToGrade != None: + questions = getDepends(testParser, testRoot, questionToGrade) + if len(questions) > 1: + print('Note: due to dependencies, the following tests will be run: %s' % ' '.join(questions)) + return questions + if 'order' in problemDict: + return problemDict['order'].split() + return sorted(os.listdir(testRoot)) + + +# evaluate student code +def evaluate(generateSolutions, testRoot, moduleDict, exceptionMap=ERROR_HINT_MAP, + edxOutput=False, muteOutput=False, gsOutput=False, + printTestCase=False, questionToGrade=None, display=None): + # imports of testbench code. note that the testClasses import must follow + # the import of student code due to dependencies + import testParser + import testClasses + for module in moduleDict: + setattr(sys.modules[__name__], module, moduleDict[module]) + + questions = [] + questionDicts = {} + test_subdirs = getTestSubdirs(testParser, testRoot, questionToGrade) + for q in test_subdirs: + subdir_path = os.path.join(testRoot, q) + if not os.path.isdir(subdir_path) or q[0] == '.': + continue + + # create a question object + questionDict = testParser.TestParser(os.path.join(subdir_path, 'CONFIG')).parse() + questionClass = getattr(testClasses, questionDict['class']) + question = questionClass(questionDict, display) + questionDicts[q] = questionDict + + # load test cases into question + tests = list(filter(lambda t: re.match(r'[^#~.].*\.test\Z', t), os.listdir(subdir_path))) + tests = list(map(lambda t: re.match(r'(.*)\.test\Z', t).group(1), tests)) + for t in sorted(tests): + test_file = os.path.join(subdir_path, '%s.test' % t) + solution_file = os.path.join(subdir_path, '%s.solution' % t) + test_out_file = os.path.join(subdir_path, '%s.test_output' % t) + testDict = testParser.TestParser(test_file).parse() + if testDict.get("disabled", "false").lower() == "true": + continue + testDict['test_out_file'] = test_out_file + testClass = getattr(projectTestClasses, testDict['class']) + testCase = testClass(question, testDict) + def makefun(testCase, solution_file): + if generateSolutions: + # write solution file to disk + return lambda grades: testCase.writeSolution(moduleDict, solution_file) + else: + # read in solution dictionary and pass as an argument + testDict = testParser.TestParser(test_file).parse() + solutionDict = testParser.TestParser(solution_file).parse() + if printTestCase: + return lambda grades: printTest(testDict, solutionDict) or testCase.execute(grades, moduleDict, solutionDict) + else: + return lambda grades: testCase.execute(grades, moduleDict, solutionDict) + question.addTestCase(testCase, makefun(testCase, solution_file)) + + # Note extra function is necessary for scoping reasons + def makefun(question): + return lambda grades: question.execute(grades) + setattr(sys.modules[__name__], q, makefun(question)) + questions.append((q, question.getMaxPoints())) + + grades = grading.Grades(projectParams.PROJECT_NAME, questions, + gsOutput=gsOutput, edxOutput=edxOutput, muteOutput=muteOutput) + if questionToGrade == None: + for q in questionDicts: + for prereq in questionDicts[q].get('depends', '').split(): + grades.addPrereq(q, prereq) + + grades.grade(sys.modules[__name__], bonusPic = projectParams.BONUS_PIC) + return grades.points + + + +def getDisplay(graphicsByDefault, options=None): + graphics = graphicsByDefault + if options is not None and options.noGraphics: + graphics = False + if graphics: + try: + import graphicsDisplay + return graphicsDisplay.PacmanGraphics(1, frameTime=.05) + except ImportError: + pass + import textDisplay + return textDisplay.NullGraphics() + +# BEGIN SOLUTION NO PROMPT +import shutil + +def copy(srcDir, destDir, filename): + srcFilename = os.path.join(srcDir, filename) + destFilename = os.path.join(destDir, filename) + print("Copying %s -> %s" % (srcFilename, destFilename)) + shutil.copy(srcFilename, destFilename) + # with open(os.path.join(srcDir, filename), 'r') as f1: + # with open(os.path.join(destDir, filename), 'w') as f2: + # f2.write(f1.read()) + +def generatePublicTests(moduleDict, privateRoot='private_test_cases', publicRoot='test_cases'): + import testParser + import testClasses + for module in moduleDict: + setattr(sys.modules[__name__], module, moduleDict[module]) + + if not os.path.exists(publicRoot): os.mkdir(publicRoot) + copy(privateRoot, publicRoot, 'CONFIG') + for q in sorted(os.listdir(privateRoot)): + private_subdir_path = os.path.join(privateRoot, q) + public_subdir_path = os.path.join(publicRoot, q) + if not os.path.exists(public_subdir_path): os.mkdir(public_subdir_path) + + if not os.path.isdir(private_subdir_path) or q[0] == '.': + continue + + copy(private_subdir_path, public_subdir_path, 'CONFIG') + + # create a question object + questionDict = testParser.TestParser(os.path.join(public_subdir_path, 'CONFIG')).parse() + questionClass = getattr(testClasses, questionDict['class']) + question = questionClass(questionDict, getDisplay(False)) + + tests = list(filter(lambda t: re.match(r'[^#~.].*\.test\Z', t), os.listdir(private_subdir_path))) + tests = list(map(lambda t: re.match(r'(.*)\.test\Z', t).group(1), tests)) + for t in sorted(tests): + test_file = os.path.join(private_subdir_path, '%s.test' % t) + public_test_file = os.path.join(public_subdir_path, '%s.test' % t) + test_out_file = os.path.join(public_subdir_path, '%s.test_output' % t) + print("Creating public test case %s from %s" % (public_test_file, test_file)) + + testDict = testParser.TestParser(test_file).parse() + if testDict.get("disabled", "false").lower() == "true": + continue + testDict['test_out_file'] = test_out_file + testClass = getattr(projectTestClasses, testDict['class']) + testCase = testClass(question, testDict) + + testCase.createPublicVersion() + testCase.emitPublicVersion(public_test_file) +# END SOLUTION NO PROMPT + + + +if __name__ == '__main__': + options = readCommand(sys.argv) + if options.generateSolutions: + confirmGenerate() + codePaths = options.studentCode.split(',') + # moduleCodeDict = {} + # for cp in codePaths: + # moduleName = re.match(r'.*?([^/]*)\.py', cp).group(1) + # moduleCodeDict[moduleName] = readFile(cp, root=options.codeRoot) + # moduleCodeDict['projectTestClasses'] = readFile(options.testCaseCode, root=options.codeRoot) + # moduleDict = loadModuleDict(moduleCodeDict) + + moduleDict = {} + for cp in codePaths: + moduleName = re.match(r'.*?([^/]*)\.py', cp).group(1) + moduleDict[moduleName] = loadModuleFile(moduleName, os.path.join(options.codeRoot, cp)) + moduleName = re.match(r'.*?([^/]*)\.py', options.testCaseCode).group(1) + moduleDict['projectTestClasses'] = loadModuleFile(moduleName, os.path.join(options.codeRoot, options.testCaseCode)) + + # BEGIN SOLUTION NO PROMPT + if options.generatePublicTests: + generatePublicTests(moduleDict) + sys.exit() + # END SOLUTION NO PROMPT + + if options.runTest != None: + runTest(options.runTest, moduleDict, printTestCase=options.printTestCase, display=getDisplay(True, options)) + else: + evaluate(options.generateSolutions, options.testRoot, moduleDict, + gsOutput=options.gsOutput, + edxOutput=options.edxOutput, muteOutput=options.muteOutput, printTestCase=options.printTestCase, + questionToGrade=options.gradeQuestion, display=getDisplay(options.gradeQuestion!=None, options)) diff --git a/tracking/bayesHMMTestClasses.py b/tracking/bayesHMMTestClasses.py new file mode 100644 index 0000000..3d98731 --- /dev/null +++ b/tracking/bayesHMMTestClasses.py @@ -0,0 +1,1143 @@ +# bayesHMMTestClasses.py +# ------------------------ +# Licensing Information: You are free to use or extend these projects for +# educational purposes provided that (1) you do not distribute or publish +# solutions, (2) you retain this notice, and (3) you provide clear +# attribution to UC Berkeley, including a link to http://ai.berkeley.edu. +# +# Attribution Information: The Pacman AI projects were developed at UC Berkeley. +# The core projects and autograders were primarily created by John DeNero +# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu). +# Student side autograding was added by Brad Miller, Nick Hay, and +# Pieter Abbeel (pabbeel@cs.berkeley.edu). + + +import testClasses +import bayesNet +import random +import layout +import hunters +from copy import deepcopy +from tempfile import mkstemp +import time +from shutil import move +from os import remove, close +import util +from util import manhattanDistance +import busters +import bustersAgents +from game import Agent +from game import Actions +from game import Directions +import re +from inference import ParticleFilter + +class GraphEqualityTest(testClasses.TestCase): + + def __init__(self, question, testDict): + super(GraphEqualityTest, self).__init__(question, testDict) + layoutText = testDict['layout'] + self.layoutName = testDict['layoutName'] + + lay = layout.Layout([row.strip() for row in layoutText.split('\n')]) + self.startState = hunters.GameState() + self.startState.initialize(lay, 0) + + def getEmptyStudentBayesNet(self, moduleDict): + inferenceModule = moduleDict['inference'] + studentComputation = inferenceModule.constructBayesNet + net = studentComputation(self.startState) + return net + + def execute(self, grades, moduleDict, solutionDict): + # load student code and staff code solutions + studentNet = self.getEmptyStudentBayesNet(moduleDict) + goldNet = bayesNet.constructEmptyBayesNetFromString(solutionDict['solutionString']) + correct = studentNet.sameGraph(goldNet) + sameValues = studentNet.sameValuesDict(goldNet) + if correct and sameValues: + return self.testPass(grades) + self.addMessage('Bayes net graphs are not equal.') + missingVars = goldNet.variablesSet() - studentNet.variablesSet() + extraVars = studentNet.variablesSet() - goldNet.variablesSet() + if missingVars: + self.addMessage('Student solution is missing variables: ' + str(missingVars) + '\n') + if extraVars: + self.addMessage('Student solution has extra variables: ' + str(extraVars) + '\n') + studentEdges = set([str(fromVar) + " -> " + str(toVar) for toVar in studentNet.variablesSet() for fromVar in studentNet.inEdges()[toVar]]) + goldEdges = set([str(fromVar) + " -> " + str(toVar) for toVar in goldNet.variablesSet() for fromVar in goldNet.inEdges()[toVar]]) + missingEdges = goldEdges - studentEdges + extraEdges = studentEdges - goldEdges + if missingEdges: + self.addMessage('Student solution is missing edges:') + for edge in sorted(missingEdges): + self.addMessage(' ' + str(edge)) + self.addMessage('\n') + if extraEdges: + self.addMessage('Student solution has extra edges:') + for edge in sorted(extraEdges): + self.addMessage(' ' + str(edge)) + self.addMessage('\n') + if not sameValues: + self.addMessage('Student solution has incorrect values dictionary.') + studentDict = studentNet.variableDomainsDict() + goldDict = goldNet.variableDomainsDict() + missingDictVars = set(goldDict) - set(studentDict) + extraDictVars = set(studentDict) - set(goldDict) + if missingDictVars: + self.addMessage('Student dictionary is missing variables: ' + str(missingDictVars)) + if extraDictVars: + self.addMessage('Student dictionary has extra variables: ' + str(extraDictVars)) + for variable, assignments in goldDict.items(): + if variable not in studentDict: + continue + studentAssignments = studentDict[variable] + missing = set(assignments) - set(studentAssignments) + extra = set(studentAssignments) - set(assignments) + if missing: + self.addMessage('Student dictionary for ' + variable + ' is missing assignments: ' + str(missing)) + if extra: + self.addMessage('Student dictionary for ' + variable + ' has extra assignments: ' + str(extra)) + return self.testFail(grades) + + + def writeSolution(self, moduleDict, filePath): + inferenceModule = moduleDict['inference'] + with open(filePath, 'w') as handle: + handle.write('# This is the solution file for %s.\n\nsolutionString: """\n' % self.path) + net = inferenceModule.constructBayesNet(self.startState) + handle.write(str(net)) + handle.write('\n"""\n') + return True + + def createPublicVersion(self): + pass + +class BayesNetEqualityTest(GraphEqualityTest): + + def execute(self, grades, moduleDict, solutionDict): + # load student code and staff code solutions + studentNet = self.getEmptyStudentBayesNet(moduleDict) + goldNet = parseSolutionBayesNet(solutionDict) + if not studentNet.sameGraph(goldNet): + self.addMessage('Bayes net graphs are not equivalent. Please check that your Q1 implementation is correct.') + return self.testFail(grades) + moduleDict['bayesAgents'].fillCPTs(studentNet, self.startState) + for variable in goldNet.variablesSet(): + try: + studentFactor = studentNet.getCPT(variable) + except KeyError: + self.addMessage('Student Bayes net missing CPT for variable ' + str(variable)) + return self.testFail(grades) + goldFactor = goldNet.getCPT(variable) + if not studentFactor == goldFactor: + self.addMessage('First factor in which student answer differs from solution: P({} | {})'.format(studentFactor.unconditionedVariables(), studentFactor.conditionedVariables())) + self.addMessage('Student Factor:\n' + str(studentFactor)) + self.addMessage('Correct Factor:\n' + str(goldFactor)) + return self.testFail(grades) + return self.testPass(grades) + + def writeSolution(self, moduleDict, filePath): + bayesAgentsModule = moduleDict['bayesAgents'] + with open(filePath, 'w') as handle: + handle.write('# This is the solution file for %s.\n\n' % self.path) + net, _ = bayesAgentsModule.constructBayesNet(self.startState) + bayesAgentsModule.fillCPTs(net, self.startState) + handle.write(net.easierToParseString(printVariableDomainsDict=True)) + return True + +class FactorEqualityTest(testClasses.TestCase): + + def __init__(self, question, testDict): + super(FactorEqualityTest, self).__init__(question, testDict) + self.seed = self.testDict['seed'] + random.seed(self.seed) + self.alg = self.testDict['alg'] + self.max_points = int(self.testDict['max_points']) + self.testPath = testDict['path'] + self.constructRandomly = testDict['constructRandomly'] + + def execute(self, grades, moduleDict, solutionDict): + # load student code and staff code solutions + studentFactor = self.solveProblem(moduleDict) + goldenFactor = parseFactorFromFileDict(solutionDict) + + # compare computed factor to stored factor + self.addMessage('Executed FactorEqualityTest') + if studentFactor == goldenFactor: + # extra condition for test passing for this test type: + if self.alg == 'inferenceByVariableElimination': + goldenCallTrackingList = eval(solutionDict['callTrackingList']) + if self.callTrackingList != goldenCallTrackingList: + self.addMessage('Order of joining by variables and elimination by variables is incorrect for variable elimination') + self.addMessage('Student performed the following operations in order: ' + str(self.callTrackingList) + '\n') + self.addMessage('Correct order of operations: ' + str(goldenCallTrackingList) + '\n') + return self.testFail(grades) + + return self.testPass(grades) + else: + self.addMessage('Factors are not equal.\n') + self.addMessage('Student generated factor:\n\n' + str(studentFactor) + '\n\n') + self.addMessage('Correct factor:\n\n' + str(goldenFactor) + '\n') + + studentProbabilityTotal = sum([studentFactor.getProbability(assignmentDict) for assignmentDict in studentFactor.getAllPossibleAssignmentDicts()]) + correctProbabilityTotal = sum([goldenFactor.getProbability(assignmentDict) for assignmentDict in goldenFactor.getAllPossibleAssignmentDicts()]) + if abs(studentProbabilityTotal - correctProbabilityTotal) > 10e-12: + self.addMessage('Sum of probability in student generated factor is not the same as in correct factor') + self.addMessage('Student sum of probability: ' + str(studentProbabilityTotal)) + self.addMessage('Correct sum of probability: ' + str(correctProbabilityTotal)) + + return self.testFail(grades) + + + def writeSolution(self, moduleDict, filePath): + + if self.constructRandomly: + if self.alg == 'joinFactors' or self.alg == 'eliminate' or \ + self.alg == 'normalize': + replaceTestFile(self.testPath, "Factors", self.factorsDict) + elif self.alg == 'inferenceByVariableElimination' or \ + self.alg == 'inferenceByLikelihoodWeightingSampling': + replaceTestFile(self.testPath, "BayesNet", self.problemBayesNet) + + factor = self.solveProblem(moduleDict) + with open(filePath, 'w') as handle: + handle.write('# This is the solution file for %s.\n' % self.path) + printString = factor.easierToParseString() + handle.write('%s\n' % (printString)) + + if self.alg == 'inferenceByVariableElimination': + handle.write('callTrackingList: "' + repr(self.callTrackingList) + '"\n') + return True + + +class FactorInputFactorEqualityTest(FactorEqualityTest): + def __init__(self, question, testDict): + super(FactorInputFactorEqualityTest, self).__init__(question, testDict) + self.factorArgs = self.testDict['factorArgs'] + eliminateToPerform = (self.alg == 'eliminate') + evidenceAssignmentToPerform = (self.alg == 'normalize') + + parseDict = parseFactorInputProblem(testDict, goingToEliminate=eliminateToPerform, + goingToEvidenceAssign=evidenceAssignmentToPerform) + self.variableDomainsDict = parseDict['variableDomainsDict'] + self.factorsDict = parseDict['factorsDict'] + if eliminateToPerform: + self.eliminateVariable = parseDict['eliminateVariable'] + if evidenceAssignmentToPerform: + self.evidenceDict = parseDict['evidenceDict'] + self.max_points = int(self.testDict['max_points']) + + def solveProblem(self, moduleDict): + factorOperationsModule = moduleDict['factorOperations'] + studentComputation = getattr(factorOperationsModule, self.alg) + if self.alg == 'joinFactors': + solvedFactor = studentComputation(self.factorsDict.values()) + elif self.alg == 'eliminate': + solvedFactor = studentComputation(list(self.factorsDict.values())[0], + self.eliminateVariable) + elif self.alg == 'normalize': + newVariableDomainsDict = deepcopy(self.variableDomainsDict) + for variable, value in self.evidenceDict.items(): + newVariableDomainsDict[variable] = [value] + origFactor = list(self.factorsDict.values())[0] + specializedFactor = origFactor.specializeVariableDomains(newVariableDomainsDict) + solvedFactor = studentComputation(specializedFactor) + + return solvedFactor + + +class BayesNetInputFactorEqualityTest(FactorEqualityTest): + + def __init__(self, question, testDict): + super(BayesNetInputFactorEqualityTest, self).__init__(question, testDict) + + parseDict = parseBayesNetProblem(testDict) + + self.queryVariables = parseDict['queryVariables'] + self.evidenceDict = parseDict['evidenceDict'] + + if self.alg == 'inferenceByVariableElimination': + self.callTrackingList = [] + self.variableEliminationOrder = parseDict['variableEliminationOrder'] + elif self.alg == 'inferenceByLikelihoodWeightingSampling': + self.numSamples = parseDict['numSamples'] + + self.problemBayesNet = parseDict['problemBayesNet'] + self.max_points = int(self.testDict['max_points']) + + def solveProblem(self, moduleDict): + inferenceModule = moduleDict['inference'] + if self.alg == 'inferenceByVariableElimination': + studentComputationWithCallTracking = getattr(inferenceModule, self.alg + 'WithCallTracking') + studentComputation = studentComputationWithCallTracking(self.callTrackingList) + solvedFactor = studentComputation(self.problemBayesNet, self.queryVariables, self.evidenceDict, self.variableEliminationOrder) + elif self.alg == 'inferenceByLikelihoodWeightingSampling': + randomSource = util.FixedRandom().random + studentComputationRandomSource = getattr(inferenceModule, self.alg + 'RandomSource') + studentComputation = studentComputationRandomSource(randomSource) + #random.seed(self.seed) # reset seed so that if we had to compute the bayes net we still have the initial seed + solvedFactor = studentComputation(self.problemBayesNet, self.queryVariables, self.evidenceDict, self.numSamples) + + return solvedFactor + +class MostLikelyFoodHousePositionTest(testClasses.TestCase): + + def __init__(self, question, testDict): + super(MostLikelyFoodHousePositionTest, self).__init__(question, testDict) + layoutText = testDict['layout'] + self.layoutName = testDict['layoutName'] + + lay = layout.Layout([row.strip() for row in layoutText.split('\n')]) + self.startState = hunters.GameState() + self.startState.initialize(lay, 0) + + self.evidence = eval(testDict['evidence']) + self.eliminationOrder = eval(testDict['eliminationOrder']) + + def execute(self, grades, moduleDict, solutionDict): + # load student code and staff code solutions + bayesAgentsModule = moduleDict['bayesAgents'] + FOOD_HOUSE_VAR = bayesAgentsModule.FOOD_HOUSE_VAR + studentBayesNet, _ = bayesAgentsModule.constructBayesNet(self.startState) + bayesAgentsModule.fillCPTs(studentBayesNet, self.startState) + studentFunction = bayesAgentsModule.getMostLikelyFoodHousePosition + studentPosition = studentFunction(self.evidence, studentBayesNet, self.eliminationOrder)[FOOD_HOUSE_VAR] + goldPosition = solutionDict['answer'] + correct = studentPosition == goldPosition + if not correct: + self.addMessage('Student answer: ' + str(studentPosition)) + self.addMessage('Correct answer: ' + str(goldPosition)) + return self.testPass(grades) if correct else self.testFail(grades) + + def writeSolution(self, moduleDict, filePath): + bayesAgentsModule = moduleDict['bayesAgents'] + staffBayesNet, _ = bayesAgentsModule.constructBayesNet(self.startState) + FOOD_HOUSE_VAR = bayesAgentsModule.FOOD_HOUSE_VAR + bayesAgentsModule.fillCPTs(staffBayesNet, self.startState) + staffFunction = bayesAgentsModule.getMostLikelyFoodHousePosition + answer = staffFunction(self.evidence, staffBayesNet, self.eliminationOrder)[FOOD_HOUSE_VAR] + with open(filePath, 'w') as handle: + handle.write('# This is the solution file for %s.\n\nanswer: """\n' % self.path) + handle.write(str(answer)) + handle.write('\n"""\n') + return True + + def createPublicVersion(self): + pass + +class VPITest(testClasses.TestCase): + + def __init__(self, question, testDict): + super(VPITest, self).__init__(question, testDict) + self.targetFunction = testDict['function'] + layoutText = testDict['layout'] + self.layoutName = testDict['layoutName'] + + lay = layout.Layout([row.strip() for row in layoutText.split('\n')]) + self.startState = hunters.GameState() + self.startState.initialize(lay, 0) + + self.evidence = eval(testDict['evidence']) + self.eliminationOrder = eval(testDict['eliminationOrder']) + + def execute(self, grades, moduleDict, solutionDict): + # load student code and staff code solutions + bayesAgentsModule = moduleDict['bayesAgents'] + studentAgent = bayesAgentsModule.VPIAgent() + studentAgent.registerInitialState(self.startState) + studentAnswer = eval('studentAgent.{}(self.evidence, self.eliminationOrder)'.format(self.targetFunction)) + goldAnswer = eval(solutionDict['answer']) + if type(studentAnswer) == float: + correct = closeNums(studentAnswer, goldAnswer) + else: + correct = closeNums(studentAnswer[0], goldAnswer[0]) & closeNums(studentAnswer[1], goldAnswer[1]) + if not correct: + self.addMessage('Student answer differed from solution by at least .0001') + self.addMessage('Student answer: ' + str(studentAnswer)) + self.addMessage('Correct answer: ' + str(goldAnswer)) + return self.testPass(grades) if correct else self.testFail(grades) + + def writeSolution(self, moduleDict, filePath): + bayesAgentsModule = moduleDict['bayesAgents'] + agent = bayesAgentsModule.VPIAgent() + agent.registerInitialState(self.startState) + answer = eval('agent.{}(self.evidence, self.eliminationOrder)'.format(self.targetFunction)) + with open(filePath, 'w') as handle: + handle.write('# This is the solution file for %s.\n\nanswer: """\n' % self.path) + handle.write(str(answer)) + handle.write('\n"""\n') + return True + + def createPublicVersion(self): + pass + +def closeNums(x, y): + return abs(x - y) < 1e-4 + +def parseFactorInputProblem(testDict, goingToEliminate=False, goingToEvidenceAssign=False): + parseDict = {} + variableDomainsDict = {} + for line in testDict['variableDomainsDict'].split('\n'): + variable, domain = line.split(' : ') + variableDomainsDict[variable] = domain.split(' ') + + parseDict['variableDomainsDict'] = variableDomainsDict + + + factorsDict = {} # assume args is a list of factor names and maybe a variable name at the end + if goingToEliminate: + eliminateVariable = testDict["eliminateVariable"] + parseDict['eliminateVariable'] = eliminateVariable + + # for normalize need evidence so that normalize is nontrivial + if goingToEvidenceAssign: + evidenceAssignmentString = testDict["evidenceDict"] + evidenceDict = {} + for line in evidenceAssignmentString.split('\n'): + if(line.count(' : ')): #so we can pass empty dicts for unnormalized variables + evidenceVariable, evidenceAssignment = line.split(' : ') + evidenceDict[evidenceVariable] = evidenceAssignment + parseDict['evidenceDict'] = evidenceDict + + for factorName in testDict["factorArgs"].split(' '): + # construct a dict from names to factors and + # load a factor from the test file for each + + currentFactor = parseFactorFromFileDict(testDict, variableDomainsDict=variableDomainsDict, + prefix=factorName) + factorsDict[factorName] = currentFactor + + parseDict['factorsDict'] = factorsDict + + return parseDict + +def replaceTestFile(file_path, typeOfTest, inputToTest): + #Create temp file + fh, abs_path = mkstemp() + with open(abs_path,'w') as new_file: + with open(file_path) as old_file: + # Assumes that variableDomainsDict is the last + # entry in the test file before the factors start to + # get enumerated + for line in old_file: + new_file.write(line) + if 'endOfNonFactors' in line: + break + if typeOfTest == 'BayesNet': + new_file.write("\n" + inputToTest.easierToParseString()) + elif typeOfTest == 'Factors': + new_file.write("\n" + "\n".join([factor.easierToParseString(prefix=name, + printVariableDomainsDict=False) for + name, factor in inputToTest.items()])) + + + close(fh) + #Remove original file + remove(file_path) + #Move new file + move(abs_path, file_path) + +def parseFactorFromFileDict(fileDict, variableDomainsDict=None, prefix=None): + if prefix is None: + prefix = '' + if variableDomainsDict is None: + variableDomainsDict = {} + for line in fileDict['variableDomainsDict'].split('\n'): + variable, domain = line.split(' : ') + variableDomainsDict[variable] = domain.split(' ') + # construct a dict from names to factors and + # load a factor from the test file for each + + + unconditionedVariables = [] + for variable in fileDict[prefix + "unconditionedVariables"].split(' '): + unconditionedVariable = variable.strip() + unconditionedVariables.append(unconditionedVariable) + + conditionedVariables = [] + for variable in fileDict[prefix + "conditionedVariables"].split(' '): + conditionedVariable = variable.strip() + if variable != '': + conditionedVariables.append(conditionedVariable) + + if 'constructRandomly' not in fileDict or fileDict['constructRandomly'] == 'False': + currentFactor = bayesNet.Factor(unconditionedVariables, conditionedVariables, + variableDomainsDict) + for line in fileDict[prefix + 'FactorTable'].split('\n'): + assignments, probability = line.split(" = ") + assignmentList = [assignment for assignment in assignments.split(', ')] + + assignmentsDict = {} + for assignment in assignmentList: + var, value = assignment.split(' : ') + assignmentsDict[var] = value + + currentFactor.setProbability(assignmentsDict, float(probability)) + elif fileDict['constructRandomly'] == 'True': + currentFactor = bayesNet.constructAndFillFactorRandomly(unconditionedVariables, conditionedVariables, variableDomainsDict) + return currentFactor + +def parseSolutionBayesNet(solutionDict): + # needs to be able to parse in a bayes net + variableDomainsDict = {} + for line in solutionDict['variableDomainsDict'].split('\n'): + variable, domain = line.split(' : ') + variableDomainsDict[variable] = domain.split(' ') + + variables = list(variableDomainsDict.keys()) + edgeList = [] + for variable in variables: + parents = solutionDict[variable + 'conditionedVariables'].split(' ') + for parent in parents: + if parent != '': + edgeList.append((parent, variable)) + + net = bayesNet.constructEmptyBayesNet(variables, edgeList, variableDomainsDict) + + factors = {} + for variable in variables: + net.setCPT(variable, parseFactorFromFileDict(solutionDict, variableDomainsDict, variable)) + + return net + +def parseBayesNetProblem(testDict): + # needs to be able to parse in a bayes net, + # and figure out what type of operation to perform and on what + parseDict = {} + + variableDomainsDict = {} + for line in testDict['variableDomainsDict'].split('\n'): + variable, domain = line.split(' : ') + variableDomainsDict[variable] = domain.split(' ') + + parseDict['variableDomainsDict'] = variableDomainsDict + + + + variables = [] + for line in testDict["variables"].split('\n'): + + variable = line.strip() + variables.append(variable) + + edges = [] + for line in testDict["edges"].split('\n'): + + tokens = line.strip().split() + if len(tokens) == 2: + edges.append((tokens[0], tokens[1])) + + else: + raise Exception("[parseBayesNetProblem] Bad evaluation line: |%s|" % (line,)) + + + # inference query args + + queryVariables = testDict['queryVariables'].split(' ') + + parseDict['queryVariables'] = queryVariables + + evidenceDict = {} + for line in testDict['evidenceDict'].split('\n'): + if(line.count(' : ')): #so we can pass empty dicts for unnormalized variables + (evidenceVariable, evidenceValue) = line.split(' : ') + evidenceDict[evidenceVariable] = evidenceValue + + parseDict['evidenceDict'] = evidenceDict + + if testDict['constructRandomly'] == 'False': + # load from test file + problemBayesNet = bayesNet.constructEmptyBayesNet(variables, edges, variableDomainsDict) + for variable in variables: + currentFactor = bayesNet.Factor([variable], problemBayesNet.inEdges()[variable], variableDomainsDict) + for line in testDict[variable + 'FactorTable'].split('\n'): + assignments, probability = line.split(" = ") + assignmentList = [assignment for assignment in assignments.split(', ')] + + assignmentsDict = {} + for assignment in assignmentList: + var, value = assignment.split(' : ') + assignmentsDict[var] = value + + currentFactor.setProbability(assignmentsDict, float(probability)) + problemBayesNet.setCPT(variable, currentFactor) + elif testDict['constructRandomly'] == 'True': + problemBayesNet = bayesNet.constructRandomlyFilledBayesNet(variables, edges, variableDomainsDict) + + parseDict['problemBayesNet'] = problemBayesNet + + if testDict['alg'] == 'inferenceByVariableElimination': + variableEliminationOrder = testDict['variableEliminationOrder'].split(' ') + parseDict['variableEliminationOrder'] = variableEliminationOrder + elif testDict['alg'] == 'inferenceByLikelihoodWeightingSampling': + numSamples = int(testDict['numSamples']) + parseDict['numSamples'] = numSamples + + return parseDict + +################################### +####### From fa21 Tracking Project +fixed_order = ['West', 'East', 'Stop', 'South', 'North'] + +class GameScoreTest(testClasses.TestCase): + + def __init__(self, question, testDict): + super(GameScoreTest, self).__init__(question, testDict) + self.maxMoves = int(self.testDict['maxMoves']) + self.inference = self.testDict['inference'] + self.layout_str = self.testDict['layout_str'].split('\n') + self.numRuns = int(self.testDict['numRuns']) + self.numWinsForCredit = int(self.testDict['numWinsForCredit']) + self.numGhosts = int(self.testDict['numGhosts']) + self.layout_name = self.testDict['layout_name'] + self.min_score = int(self.testDict['min_score']) + self.observe_enable = self.testDict['observe'] == 'True' + self.elapse_enable = self.testDict['elapse'] == 'True' + + def execute(self, grades, moduleDict, solutionDict): + ghosts = [SeededRandomGhostAgent(i) for i in range(1,self.numGhosts+1)] + print(self.inference) + pac = bustersAgents.GreedyBustersAgent(0, inference = self.inference, ghostAgents = ghosts, observeEnable = self.observe_enable, elapseTimeEnable = self.elapse_enable) + #if self.inference == "ExactInference": + # pac.inferenceModules = [moduleDict['inference'].ExactInference(a) for a in ghosts] + #else: + # print "Error inference type %s -- not implemented" % self.inference + # return + + stats = run(self.layout_str, pac, ghosts, self.question.getDisplay(), nGames=self.numRuns, maxMoves=self.maxMoves, quiet = False) + aboveCount = [s >= self.min_score for s in stats['scores']].count(True) + msg = "%s) Games won on %s with score above %d: %d/%d" % (self.layout_name, grades.currentQuestion, self.min_score, aboveCount, self.numRuns) + grades.addMessage(msg) + if aboveCount >= self.numWinsForCredit: + grades.assignFullCredit() + return self.testPass(grades) + else: + return self.testFail(grades) + + def writeSolution(self, moduleDict, filePath): + handle = open(filePath, 'w') + handle.write('# You must win at least %d/10 games with at least %d points' % (self.numWinsForCredit, self.min_score)) + handle.close() + + def createPublicVersion(self): + pass + +class ZeroWeightTest(testClasses.TestCase): + + def __init__(self, question, testDict): + super(ZeroWeightTest, self).__init__(question, testDict) + self.maxMoves = int(self.testDict['maxMoves']) + self.inference = self.testDict['inference'] + self.layout_str = self.testDict['layout'].split('\n') + self.numGhosts = int(self.testDict['numGhosts']) + self.observe_enable = self.testDict['observe'] == 'True' + self.elapse_enable = self.testDict['elapse'] == 'True' + self.ghost = self.testDict['ghost'] + self.seed = int(self.testDict['seed']) + + def execute(self, grades, moduleDict, solutionDict): + random.seed(self.seed) + inferenceFunction = getattr(moduleDict['inference'], self.inference) + ghosts = [globals()[self.ghost](i) for i in range(1, self.numGhosts+1)] + if self.inference == 'MarginalInference': + moduleDict['inference'].jointInference = moduleDict['inference'].JointParticleFilter() + disp = self.question.getDisplay() + pac = ZeroWeightAgent(inferenceFunction, ghosts, grades, self.seed, disp, elapse=self.elapse_enable, observe=self.observe_enable) + if self.inference == "ParticleFilter": + for pfilter in pac.inferenceModules: pfilter.setNumParticles(5000) + elif self.inference == "MarginalInference": + moduleDict['inference'].jointInference.setNumParticles(5000) + run(self.layout_str, pac, ghosts, disp, maxMoves = self.maxMoves) + if pac.getReset(): + grades.addMessage('%s) successfully handled all weights = 0' % grades.currentQuestion) + return self.testPass(grades) + else: + grades.addMessage('%s) error handling all weights = 0' % grades.currentQuestion) + return self.testFail(grades) + + def writeSolution(self, moduleDict, filePath): + handle = open(filePath, 'w') + handle.write('# This test checks that you successfully handle the case when all particle weights are set to 0\n') + handle.close() + + def createPublicVersion(self): + self.testDict['seed'] = '188' + self.seed = 188 + +class DoubleInferenceAgentTest(testClasses.TestCase): + + def __init__(self, question, testDict): + super(DoubleInferenceAgentTest, self).__init__(question, testDict) + self.seed = int(self.testDict['seed']) + self.layout_str = self.testDict['layout'].split('\n') + self.observe = (self.testDict['observe'] == "True") + self.elapse = (self.testDict['elapse'] == "True") + self.checkUniform = (self.testDict['checkUniform'] == 'True') + self.maxMoves = int(self.testDict['maxMoves']) + self.numParticles = int(self.testDict['numParticles']) + self.numGhosts = int(self.testDict['numGhosts']) + self.inference = self.testDict['inference'] + self.errorMsg = self.testDict['errorMsg'] + self.L2Tolerance = float(self.testDict['L2Tolerance']) + self.ghost = self.testDict['ghost'] + + def execute(self, grades, moduleDict, solutionDict): + random.seed(self.seed) + lines = solutionDict['correctActions'].split('\n') + moves = [] + # Collect solutions + for l in lines: + m = re.match(r'(\d+) (\w+) (.*)', l) + moves.append((m.group(1), m.group(2), eval(m.group(3)))) + + inferenceFunction = getattr(moduleDict['inference'], self.inference) + + ghosts = [globals()[self.ghost](i) for i in range(1, self.numGhosts+1)] + if self.inference == 'MarginalInference': + moduleDict['inference'].jointInference = moduleDict['inference'].JointParticleFilter() + + disp = self.question.getDisplay() + pac = DoubleInferenceAgent(inferenceFunction, moves, ghosts, grades, self.seed, disp, self.inference, elapse=self.elapse, + observe=self.observe, L2Tolerance=self.L2Tolerance, checkUniform = self.checkUniform) + if self.inference == "ParticleFilter": + for pfilter in pac.inferenceModules: pfilter.setNumParticles(self.numParticles) + elif self.inference == "MarginalInference": + moduleDict['inference'].jointInference.setNumParticles(self.numParticles) + run(self.layout_str, pac, ghosts, disp, maxMoves=self.maxMoves) + msg = self.errorMsg % pac.errors + grades.addMessage(("%s) " % (grades.currentQuestion))+msg) + if pac.errors == 0: + grades.addPoints(2) + return self.testPass(grades) + else: + return self.testFail(grades) + + def writeSolution(self, moduleDict, filePath): + random.seed(self.seed) + if self.inference == 'ParticleFilter': + self.inference = 'ExactInference' # use exact inference to generate solution + inferenceFunction = getattr(moduleDict['inference'], self.inference) + + ghosts = [globals()[self.ghost](i) for i in range(1, self.numGhosts+1)] + if self.inference == 'MarginalInference': + moduleDict['inference'].jointInference = moduleDict['inference'].JointParticleFilter() + moduleDict['inference'].jointInference.setNumParticles(self.numParticles) + + pac = InferenceAgent(inferenceFunction, ghosts, self.seed, elapse=self.elapse, observe=self.observe) + run(self.layout_str, pac, ghosts, self.question.getDisplay(), maxMoves=self.maxMoves) + # run our gold code here and then write it to a solution file + answerList = pac.answerList + handle = open(filePath, 'w') + handle.write('# move_number action likelihood_dictionary\n') + handle.write('correctActions: """\n') + for (moveNum, move, dists) in answerList: + handle.write('%s %s [' % (moveNum, move)) + for dist in dists: + handle.write('{') + for key in dist: + handle.write('%s: %s, ' % (key, dist[key])) + handle.write('}, ') + handle.write(']\n') + handle.write('"""\n') + handle.close() + + def createPublicVersion(self): + self.testDict['seed'] = '188' + self.seed = 188 + +class OutputTest(testClasses.TestCase): + + def __init__(self, question, testDict): + super(OutputTest, self).__init__(question, testDict) + self.preamble = compile(testDict.get('preamble', ""), "%s.preamble" % self.getPath(), 'exec') + self.test = compile(testDict['test'], "%s.test" % self.getPath(), 'eval') + self.success = testDict['success'] + self.failure = testDict['failure'] + + def evalCode(self, moduleDict): + bindings = dict(moduleDict) + exec(self.preamble, bindings) + return eval(self.test, bindings) + + def execute(self, grades, moduleDict, solutionDict): + result = self.evalCode(moduleDict) + result = list(map(lambda x: str(x), result)) + result = ' '.join(result) + + if result == solutionDict['result']: + grades.addMessage('PASS: %s' % self.path) + grades.addMessage('\t%s' % self.success) + return True + else: + grades.addMessage('FAIL: %s' % self.path) + grades.addMessage('\t%s' % self.failure) + grades.addMessage('\tstudent result: "%s"' % result) + grades.addMessage('\tcorrect result: "%s"' % solutionDict['result']) + + return False + + def writeSolution(self, moduleDict, filePath): + handle = open(filePath, 'w') + handle.write('# This is the solution file for %s.\n' % self.path) + handle.write('# The result of evaluating the test must equal the below when cast to a string.\n') + solution = self.evalCode(moduleDict) + solution = list(map(lambda x: str(x), solution)) + handle.write('result: "%s"\n' % ' '.join(solution)) + handle.close() + return True + + def createPublicVersion(self): + pass + +def run(layout_str, pac, ghosts, disp, nGames = 1, name = 'games', maxMoves=-1, quiet = True): + "Runs a few games and outputs their statistics." + + starttime = time.time() + lay = layout.Layout(layout_str) + + #print '*** Running %s on' % name, layname,'%d time(s).' % nGames + games = busters.runGames(lay, pac, ghosts, disp, nGames, maxMoves) + + #print '*** Finished running %s on' % name, layname, 'after %d seconds.' % (time.time() - starttime) + + stats = {'time': time.time() - starttime, \ + 'wins': [g.state.isWin() for g in games].count(True), \ + 'games': games, 'scores': [g.state.getScore() for g in games]} + statTuple = (stats['wins'], len(games), sum(stats['scores']) * 1.0 / len(games)) + if not quiet: + print('*** Won %d out of %d games. Average score: %f ***' % statTuple) + return stats + +class InferenceAgent(bustersAgents.BustersAgent): + "Tracks ghosts and compares to reference inference modules, while moving randomly" + + def __init__( self, inference, ghostAgents, seed, elapse=True, observe=True, burnIn=0): + self.inferenceModules = [inference(a) for a in ghostAgents] + self.elapse = elapse + self.observe = observe + self.burnIn = burnIn + self.numMoves = 0 + #self.rand = rand + # list of tuples (move_num, move, [dist_1, dist_2, ...]) + self.answerList = [] + self.seed = seed + + def final(self, gameState): + distributionList = [] + self.numMoves += 1 + for index,inf in enumerate(self.inferenceModules): + if self.observe: + inf.observe(gameState) + self.ghostBeliefs[index] = inf.getBeliefDistribution() + beliefCopy = deepcopy(self.ghostBeliefs[index]) + distributionList.append(beliefCopy) + self.answerList.append((self.numMoves, None, distributionList)) + random.seed(self.seed + self.numMoves) + + def registerInitialState(self, gameState): + "Initializes beliefs and inference modules" + for inference in self.inferenceModules: inference.initialize(gameState) + self.ghostBeliefs = [inf.getBeliefDistribution() for inf in self.inferenceModules] + self.firstMove = True + self.answerList.append((self.numMoves,None,deepcopy(self.ghostBeliefs))) + + def getAction(self, gameState): + "Updates beliefs, then chooses an action based on updated beliefs." + distributionList = [] + self.numMoves += 1 + for index,inf in enumerate(self.inferenceModules): + if self.elapse: + if not self.firstMove: inf.elapseTime(gameState) + self.firstMove = False + if self.observe: + inf.observe(gameState) + self.ghostBeliefs[index] = inf.getBeliefDistribution() + beliefCopy = deepcopy(self.ghostBeliefs[index]) + distributionList.append(beliefCopy) + action = random.choice([a for a in gameState.getLegalPacmanActions() if a != 'STOP']) + self.answerList.append((self.numMoves, action, distributionList)) + random.seed(self.seed + self.numMoves) + return action + + +class ZeroWeightAgent(bustersAgents.BustersAgent): + "Tracks ghosts and compares to reference inference modules, while moving randomly" + + def __init__( self, inference, ghostAgents, grades, seed, disp, elapse=True, observe=True ): + self.inferenceModules = [inference(a) for a in ghostAgents] + self.elapse = elapse + self.observe = observe + self.grades = grades + self.numMoves = 0 + self.seed = seed + self.display = disp + self.reset = False + + def final(self, gameState): + pass + + def registerInitialState(self, gameState): + "Initializes beliefs and inference modules" + for inference in self.inferenceModules: inference.initialize(gameState) + self.ghostBeliefs = [inf.getBeliefDistribution() for inf in self.inferenceModules] + self.firstMove = True + + def getAction(self, gameState): + "Updates beliefs, then chooses an action based on updated beliefs." + newBeliefs = [None] * len(self.inferenceModules) + self.numMoves += 1 + for index,inf in enumerate(self.inferenceModules): + if self.elapse: + if not self.firstMove: inf.elapseTime(gameState) + self.firstMove = False + if self.observe: + inf.observe(gameState) + newBeliefs[index] = inf.getBeliefDistribution() + self.checkReset(newBeliefs, self.ghostBeliefs) + self.ghostBeliefs = newBeliefs + self.display.updateDistributions(self.ghostBeliefs) + random.seed(self.seed + self.numMoves) + action = random.choice([a for a in gameState.getLegalPacmanActions() if a != 'STOP']) + return action + + def checkReset(self, newBeliefs, oldBeliefs): + for i in range(len(newBeliefs)): + newKeys = list(filter(lambda x: newBeliefs[i][x] != 0, newBeliefs[i].keys())) + oldKeys = list(filter(lambda x: oldBeliefs[i][x] != 0, oldBeliefs[i].keys())) + if len(newKeys) > len(oldKeys): + self.reset = True + + def getReset(self): + return self.reset + + +class DoubleInferenceAgent(bustersAgents.BustersAgent): + "Tracks ghosts and compares to reference inference modules, while moving randomly" + + def __init__( self, inference, refSolution, ghostAgents, grades, seed, disp, func, elapse=True, observe=True, L2Tolerance=0.2, burnIn=0, checkUniform = False): + self.inferenceModules = [inference(a) for a in ghostAgents] + self.refSolution = refSolution + self.func = func + self.elapse = elapse + self.observe = observe + self.grades = grades + self.L2Tolerance = L2Tolerance + self.errors = 0 + self.burnIn = burnIn + self.numMoves = 0 + self.seed = seed + self.display = disp + self.checkUniform = checkUniform + + def final(self, gameState): + self.numMoves += 1 + moveNum,action,dists = self.refSolution[self.numMoves] + for index,inf in enumerate(self.inferenceModules): + if self.observe: + inf.observe(gameState) + self.ghostBeliefs[index] = inf.getBeliefDistribution() + if self.numMoves >= self.burnIn: + self.distCompare(self.ghostBeliefs[index], dists[index]) + self.display.updateDistributions(self.ghostBeliefs) + random.seed(self.seed + self.numMoves) + if not self.display.checkNullDisplay(): + time.sleep(3) + + def registerInitialState(self, gameState): + "Initializes beliefs and inference modules" + for inference in self.inferenceModules: + inference.initialize(gameState) + if (isinstance(inference, ParticleFilter)): + if len(inference.particles) != inference.numParticles: + t = (self.grades.currentQuestion, len(inference.particles), inference.numParticles) + summary = '%s) Filters do not have the same number of particles.\n\tstudent count: %d\n\treference count: %d' % t + self.grades.fail('%s' % (summary)) + self.errors += 1 + moveNum,action,dists = self.refSolution[self.numMoves] + for index,inf in enumerate(self.inferenceModules): + self.distCompare(inf.getBeliefDistribution(), dists[index]) + self.ghostBeliefs = [inf.getBeliefDistribution() for inf in self.inferenceModules] + self.firstMove = True + + def getAction(self, gameState): + "Updates beliefs, then chooses an action based on updated beliefs." + self.numMoves += 1 + moveNum,action,dists = self.refSolution[self.numMoves] + for index,inf in enumerate(self.inferenceModules): + if self.elapse: + if not self.firstMove: inf.elapseTime(gameState) + self.firstMove = False + if self.observe: + inf.observe(gameState) + self.ghostBeliefs[index] = inf.getBeliefDistribution() + if self.numMoves >= self.burnIn: self.distCompare(self.ghostBeliefs[index], dists[index]) + self.display.updateDistributions(self.ghostBeliefs) + random.seed(self.seed + self.numMoves) + return action + + def distCompare(self, dist, refDist): + "Compares two distributions" + # copy and prepare distributions + dist = dist.copy() + refDist = refDist.copy() + for key in set(list(refDist.keys()) + list(dist.keys())): + if not key in dist.keys(): + dist[key] = 0.0 + if not key in refDist.keys(): + refDist[key] = 0.0 + # calculate l2 difference + if sum(refDist.values()) == 0 and self.func != 'ExactInference': + for key in refDist: + if key[1] != 1: + refDist[key] = 1.0 / float(len(refDist)) + l2 = 0 + for k in refDist.keys(): + l2 += (dist[k] - refDist[k]) ** 2 + if l2 > self.L2Tolerance: + if self.errors == 0: + t = (self.grades.currentQuestion, self.numMoves, l2) + summary = "%s) Distribution deviated at move %d by %0.4f (squared norm) from the correct answer.\n" % t + header = '%10s%5s%-25s%-25s\n' % ('key:', '', 'student', 'reference') + detail = '\n'.join(list(map(lambda x: '%9s:%5s%-25s%-25s' % (x, '', dist[x], refDist[x]), set(list(dist.keys()) + list(refDist.keys()))))) + print(dist.items()) + print(refDist.items()) + self.grades.fail('%s%s%s' % (summary, header, detail)) + self.errors += 1 + # check for uniform distribution if necessary + if self.checkUniform: + if abs(max(dist.values()) - max(refDist.values())) > .008: + if self.errors == 0: + self.grades.fail('%s) Distributions do not have the same max value and are therefore not uniform.\n\tstudent max: %f\n\treference max: %f' % (self.grades.currentQuestion, max(dist.values()), max(refDist.values()))) + self.errors += 1 + +class SeededRandomGhostAgent(Agent): + def __init__(self, index): + self.index = index + + def getAction(self, state): + dist = util.Counter() + for a in state.getLegalActions( self.index ): dist[a] = 1.0 + dist.normalize() + if len(dist) == 0: + return Directions.STOP + else: + action = self.sample( dist ) + return action + + def getDistribution( self, state ): + dist = util.Counter() + for a in state.getLegalActions( self.index ): dist[a] = 1.0 + dist.normalize() + return dist + + def sample(self, distribution, values = None): + if type(distribution) == util.Counter: + items = [(k, distribution[k]) for k in fixed_order if k in distribution] + distribution = [i[1] for i in items] + values = [i[0] for i in items] + if sum(distribution) != 1: + distribution = normalize(distribution) + choice = random.random() + i, total= 0, distribution[0] + while choice > total: + i += 1 + total += distribution[i] + return values[i] + +class GoSouthAgent(Agent): + def __init__(self, index): + self.index = index; + + def getAction(self, state): + dist = util.Counter() + for a in state.getLegalActions( self.index ): + dist[a] = 1.0 + if Directions.SOUTH in dist.keys(): + dist[Directions.SOUTH] *= 2 + dist.normalize() + if len(dist) == 0: + return Directions.STOP + else: + action = self.sample( dist ) + return action + + def getDistribution( self, state ): + dist = util.Counter() + for a in state.getLegalActions( self.index ): + dist[a] = 1.0 + if Directions.SOUTH in dist.keys(): + dist[Directions.SOUTH] *= 2 + dist.normalize() + return dist + + def sample(self, distribution, values = None): + if type(distribution) == util.Counter: + items = [(k, distribution[k]) for k in fixed_order if k in distribution] + distribution = [i[1] for i in items] + values = [i[0] for i in items] + if sum(distribution) != 1: + distribution = util.normalize(distribution) + choice = random.random() + i, total= 0, distribution[0] + while choice > total: + i += 1 + total += distribution[i] + return values[i] + +class DispersingSeededGhost( Agent): + "Chooses an action that distances the ghost from the other ghosts with probability spreadProb." + def __init__( self, index, spreadProb=0.5): + self.index = index + self.spreadProb = spreadProb + + def getAction(self, state): + dist = self.getDistribution(state); + if len(dist) == 0: + return Directions.STOP + else: + action = self.sample( dist ) + return action + + def getDistribution( self, state ): + ghostState = state.getGhostState( self.index ) + legalActions = state.getLegalActions( self.index ) + pos = state.getGhostPosition( self.index ) + isScared = ghostState.scaredTimer > 0 + + speed = 1 + if isScared: speed = 0.5 + actionVectors = [Actions.directionToVector( a, speed ) for a in legalActions] + newPositions = [( pos[0]+a[0], pos[1]+a[1] ) for a in actionVectors] + + # get other ghost positions + others = [i for i in range(1,state.getNumAgents()) if i != self.index] + for a in others: assert state.getGhostState(a) != None, "Ghost position unspecified in state!" + otherGhostPositions = [state.getGhostPosition(a) for a in others if state.getGhostPosition(a)[1] > 1] + + # for each action, get the sum of inverse squared distances to the other ghosts + sumOfDistances = [] + for pos in newPositions: + sumOfDistances.append( sum([(1+manhattanDistance(pos, g))**(-2) for g in otherGhostPositions]) ) + + bestDistance = min(sumOfDistances) + numBest = [bestDistance == dist for dist in sumOfDistances].count(True) + distribution = util.Counter() + for action, distance in zip(legalActions, sumOfDistances): + if distance == bestDistance: distribution[action] += self.spreadProb / numBest + distribution[action] += (1 - self.spreadProb) / len(legalActions) + return distribution + + def sample(self, distribution, values = None): + if type(distribution) == util.Counter: + items = [(k, distribution[k]) for k in fixed_order if k in distribution] + distribution = [i[1] for i in items] + values = [i[0] for i in items] + if sum(distribution) != 1: + distribution = util.normalize(distribution) + choice = random.random() + i, total= 0, distribution[0] + while choice > total: + i += 1 + total += distribution[i] + return values[i] diff --git a/tracking/bayesNet.py b/tracking/bayesNet.py new file mode 100644 index 0000000..511240a --- /dev/null +++ b/tracking/bayesNet.py @@ -0,0 +1,886 @@ +# bayesNet.py +# ----------- +# Licensing Information: You are free to use or extend these projects for +# educational purposes provided that (1) you do not distribute or publish +# solutions, (2) you retain this notice, and (3) you provide clear +# attribution to UC Berkeley, including a link to http://ai.berkeley.edu. +# +# Attribution Information: The Pacman AI projects were developed at UC Berkeley. +# The core projects and autograders were primarily created by John DeNero +# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu). +# Student side autograding was added by Brad Miller, Nick Hay, and +# Pieter Abbeel (pabbeel@cs.berkeley.edu). + + +import itertools +from collections import defaultdict +import random +from copy import deepcopy, copy + +class BayesNet(object): + + def __init__(self, variables, inputInEdges, inputOutEdges, inputVariableDomains): + """ + Bare bones constructor for bayes nets. + Use constructEmptyBayesNet for a nicer interface. + + variables: An iterable of all of the variables. + inEdges: A dict that maps variable to otherVariable + when there is an edge from otherVariable to + variable + outEdges: A dict that maps variable to otherVariable + where there is an edge from variable to + otherVariable + variableDomains: A dict mapping each variable to its domain (list like). + + Constructs a bayes net with edges given by inEdges and + outEdges for each variable. + Doesn't initialize the conditional probability table for any variables. + """ + # Each variable is unique (so that they can be keys in dicts) + self.__variablesSet = set(variables) + self.__variables = sorted(list(variables)) + # self.__inEdges[v] = [u if the edge (u, v) exists] + self.__inEdges = inputInEdges + # self.__outEdges[u] = [v if the edge (u, v) exists] + self.__outEdges = inputOutEdges + + # make sure that the edge maps contain all variables + for variable in self.__variablesSet: + if variable not in self.__inEdges: + self.__inEdges[variable] = set() + if variable not in self.__outEdges: + self.__outEdges[variable] = set() + + self.__variableDomainsDict = inputVariableDomains + self.__CPTDict = {} + + def variablesSet(self): + " Returns a copy of the set of variables in the bayes net " + return copy(self.__variablesSet) + + def variableDomainsDict(self): + " Returns a copy of the variable domains in the bayes net " + return deepcopy(self.__variableDomainsDict) + + def inEdges(self): + " Returns a copy of the incoming edges in the bayes net " + return deepcopy(self.__inEdges) + + def outEdges(self): + " Returns a copy of the outgoing edges in the bayes net " + return deepcopy(self.__outEdges) + + def __str__(self): + """ + Human-readable representation of a bayes net. + Prints each variable, each edge, and then each conditional probability table. + """ + netString = "Variables: " + ", ".join([str(var) for var in self.__variablesSet]) + "\n" + \ + "Edges: " + ", ".join([str(fromVar) + " -> " + str(toVar) \ + for toVar in self.__variablesSet \ + for fromVar in self.__inEdges[toVar]]) + try: + factorsString = "Conditional Probability Tables:\n\n" + \ + "\n ======================= \n\n".join([str(factor) for factor in self.getAllCPTsWithEvidence()]) + return netString + '\n\n' + factorsString + except KeyError: + return netString + '\n' + repr(self.variableDomainsDict()) + + def sameGraph(self, other): + sameVars = self.__variables == other.__variables + sameInEdges = sorted(self.__inEdges) == sorted(other.__inEdges) + sameOutEdges = sorted(self.__outEdges) == sorted(other.__outEdges) + return sameVars and sameInEdges and sameOutEdges + + def sameValuesDict(self, other): + if sorted(self.__variableDomainsDict.keys()) != sorted(other.__variableDomainsDict.keys()): + return False + for variable, assignments in self.__variableDomainsDict.items(): + if sorted(other.__variableDomainsDict[variable]) != sorted(assignments): + return False + return True + + def linearizeVariables(self): + """ + Returns a list of the variables in the bayes net, but in a + linearized order (parents of a variable in the graph always + precede it in the order). + + Useful for sampling. + """ + inEdgesIncremental = dict([(var, edgeSet.copy()) for (var, edgeSet) in self.__inEdges.items()]) + noIncomingList = [var for var in self.__variables if len(self.__inEdges[var]) == 0] + + linearizedList = [] + + while len(noIncomingList) > 0: + currentVar = noIncomingList.pop() + linearizedList.append(currentVar) + for outGoingVariable in self.__outEdges[currentVar]: + inEdgesIncremental[outGoingVariable].remove(currentVar) + if len(inEdgesIncremental[outGoingVariable]) == 0: + noIncomingList.append(outGoingVariable) + + hasEdgesLeftOver = any([len(inEdgesIncremental[var]) > 0 for var in self.__variables]) + if hasEdgesLeftOver: + raise ValueError("Graph has at least one cycle (not a bayes net) " + \ + str(inEdgesIncremental)) + else: + return linearizedList + + def getCPT(self, variable): + """ + Returns a copy of the conditional probability table in the bayes net + for variable. This is instantiated as a factor. + """ + if variable not in self.__variablesSet: + raise ValueError("Variable not in bayes net: " + str(variable)) + else: + return deepcopy(self.__CPTDict[variable]) + + def setCPT(self, variable, CPT): + """ + Sets the conditional probability table in the bayes net for + variable. + + CPT is a Factor of the conditional probability table with variable + as the only unconditioned variable, and each conditioned variable + must have an edge going into variable. + """ + if variable not in self.__variablesSet: + raise ValueError("Variable not in bayes net: " + str(variable)) + else: + unconditionedVariables = CPT.unconditionedVariables() + conditionedVariables = CPT.conditionedVariables() + + if len(unconditionedVariables) != 1: + raise ValueError("Unconditioned variables must contain a single element for an entry" + \ + " in the conditional probability tables for this Bayes net\n" + \ + str(unconditionedVariables)) + + + unconditionedVariable = list(unconditionedVariables)[0] + + if unconditionedVariable != variable: + raise ValueError("Variable in the input and the " + + "unconditionedVariable in the factor must \nagree. " + + "Input variable: " + str(variable) + \ + " unconditioned variable: " + str(unconditionedVariable)) + + for var in conditionedVariables: + if var not in self.__inEdges[unconditionedVariable]: + raise ValueError("Conditioned variables must be all have an edge " + + "going into \n the unconditionedVariable. \n" + + "conditionedVariables: " + str(conditionedVariables) + \ + "\nparent: " + str(var)) + + self.__CPTDict[variable] = deepcopy(CPT) + + def getReducedVariableDomains(self, evidenceDict): + """ + evidenceDict: A dict with an assignment for each + evidence variable. + + Returns a new variableDomainsDict where each evidence + variable's domain is the single value that it is being + assigned to (and is otherwise unchanged). + """ + reducedVariableDomainsDict = self.variableDomainsDict() + for (evidenceVariable, value) in evidenceDict.items(): + reducedVariableDomainsDict[evidenceVariable] = [value] + return reducedVariableDomainsDict + + def getCPTWithEvidence(self, variable, evidenceDict=None): + """ + Gets a conditional probability table for a variable, where the + assignments in evidenceDict have been performed, so + the CPT may have less rows than what + would be returned from getCPT. + + Input evidenceDict is optional. + If it is not provided, the CPTs for all variables without + specializing the domains is provided. + """ + if evidenceDict is None or len(evidenceDict.items()) == 0: + return self.getCPT(variable) + else: + reducedVariableDomains = self.getReducedVariableDomains(evidenceDict) + variableCPT = self.getCPT(variable) + return variableCPT.specializeVariableDomains(reducedVariableDomains) + + def getAllCPTsWithEvidence(self, evidenceDict=None): + """ + Returns a list of conditional probability tables (taking into + account evidence) for all variables in the bayes net. + + Input evidenceDict is optional. + If it is not provided, the CPTs for all variables without + specializing the domains is provided. + """ + return [self.getCPTWithEvidence(var, evidenceDict) for var in self.__variablesSet] + + def easierToParseString(self, printVariableDomainsDict=False): + " Used internally for computer-readable printing " + returnStrings = [] + for CPT in self.getAllCPTsWithEvidence(): + # CPT has only one unconditioned variable, extract it and use as a prefix + prefix = next(iter(CPT.unconditionedVariables())) + returnStrings.append(CPT.easierToParseString(prefix=prefix, printVariableDomainsDict=printVariableDomainsDict)) + printVariableDomainsDict = False + return "\n".join(returnStrings) + + +class Factor(object): + + def __init__(self, inputUnconditionedVariables, inputConditionedVariables, inputVariableDomainsDict): + """ + Constructor for factors. + + Takes in as input an iterable unconditionedVariables, an iterable + conditionedVariables, and a variableDomainsDict as a mapping from + variables to domains. + + inputUnconditionedVariables is an iterable of variables (represented as strings) + that contains the variables that are unconditioned in this factor + inputConditionedVariables is an iterable of variables (represented as strings) + that contains the variables that are conditioned in this factor + inputVariableDomainsDict is a dictionary from variables to domains of those + variables (typically represented as a list but could be any iterable) + + Initializes the probability entries of all possible assignmentDicts to be 0.0 + """ + # if only one variable is passed in (not in a list), wrap it in a list + if isinstance(inputUnconditionedVariables, str): + inputUnconditionedVariables = [inputUnconditionedVariables] + + if isinstance(inputConditionedVariables, str): + inputConditionedVariables = [inputConditionedVariables] + + repeatedVariables = set(inputUnconditionedVariables) & set(inputConditionedVariables) + if repeatedVariables: + raise ValueError("unconditionedVariables and conditionedVariables "\ + "can't have repeated \n variables. Repeats:\n" + str(repeatedVariables)) + + + self.__variables = tuple(inputUnconditionedVariables) + tuple(inputConditionedVariables) # variables are unique string identifiersk + self.__variablesSet = set(self.__variables) + + if not self.__variablesSet.issubset(set(inputVariableDomainsDict.keys())): # it's okay for variableDomainsDict to have more items than needed + raise ValueError("variableDomainsDict doesn't have all the input variables \n" \ + + str(self.__variablesSet)) + + self.__unconditionedVariables = set(inputUnconditionedVariables) + self.__conditionedVariables = set(inputConditionedVariables) + self.__variableDomainsDict = deepcopy(inputVariableDomainsDict) # dict that maps {variable : variableDomain} + + self.__variableOrders = dict([(variable, i) for i, variable in enumerate(self.__variables)]) # internal order of the variables + self.__probDict = {} # probability values are stored in an {assignmentValuesTuple : probability} dict, + # since we can't index using assignmentDicts. this is why we have to sort + products = list(itertools.product(*[inputVariableDomainsDict[variable] for variable in self.__variables])) + for assignmentsInOrder in products: + self.__probDict[tuple(assignmentsInOrder)] = 0.0 + + def variableDomainsDict(self): + " Retuns a copy of the variable domains in the factor " + return deepcopy(self.__variableDomainsDict) + + def variables(self): + " Retuns a copy of the tuple of variables in the factor " + return copy(self.__variables) + + def variablesSet(self): + " Retuns a copy of the set of variables in the factor " + return copy(self.__variablesSet) + + def unconditionedVariables(self): + " Retuns a copy of the unconditioned variables in the factor " + return copy(self.__unconditionedVariables) + + def conditionedVariables(self): + " Retuns a copy of the conditioned variables in the factor " + return copy(self.__conditionedVariables) + + def __eq__(self, other): + """ + Tests equality of two factors. + + Makes sure the unconditionedVariables, + conditionedVariables of the two factors are the same. + Then makes sure each table in the first is the same + (up to some tolerance) as the ones in the second and vice versa. + Returns true if they are the same. + """ + variablesEqual = (self.variablesSet() == other.variablesSet()) \ + and (set(self.unconditionedVariables()) == set(other.unconditionedVariables())) \ + and (set(self.conditionedVariables()) == set(other.conditionedVariables())) + + if not variablesEqual: + return False + + for assignmentDict in self.getAllPossibleAssignmentDicts(): + selfProb = self.getProbability(assignmentDict) + try: + otherProb = other.getProbability(assignmentDict) + except ValueError: + return False # have different variable domains + if abs(selfProb - otherProb) > 10e-13: + return False + + for assignmentDict in other.getAllPossibleAssignmentDicts(): + otherProb = other.getProbability(assignmentDict) + try: + selfProb = self.getProbability(assignmentDict) + except ValueError: + return False # have different variable domains + if abs(selfProb - otherProb) > 10e-13: + return False + return True + + def __ne__(self, other): + " Tests if two factors are not equal " + return not self.__eq__(other) + + def getProbability(self, assignmentDict): + """ + Retrieval function for probability values in the factor. + + Input assignmentDict should be of the form {variable : variableValue} for all + variables in the factor. + + assignmentDict can have more variables than the factor contains + (for instance, it could have an assignment for all the + variables in a bayes net), and it will select the right row + from this factor, ignoring the variables not contained within. + + Returns the probability entry stored in the factor for that + combination of variable assignments. + """ + assignmentsInOrder = self.__getAssignmentsInOrder(assignmentDict) + if assignmentsInOrder not in self.__probDict: + raise ValueError("The input assignmentDict is not contained in this factor: \n" \ + + str(self) + str(assignmentDict)) + else: + return self.__probDict[assignmentsInOrder] + + def setProbability(self, assignmentDict, probability): + """ + Setting function for probability values in the factor. + + Input assignmentDict should be of the form {variable : variableValue} + for all variables in the factor. + assignmentDict can have more variables than the factor contains + (for instance, it could have an assignment for all the variables in a bayes net), + and it will select the right row from this factor, ignoring the variables + not contained within. + + Input probability is the probability that will be set within the table. + It must be non-negative. + + Returns None + """ + if probability < 0: + raise ValueError("Probabilty entries can't be set to negative values: " + \ + str(probability)) + else: + + assignmentsInOrder = self.__getAssignmentsInOrder(assignmentDict) + if assignmentsInOrder not in self.__probDict: + raise ValueError("The input assignmentDict is not contained in this factor: \n" \ + + str(self) + str(assignmentDict)) + else: + self.__probDict[assignmentsInOrder] = probability + + def __getAssignmentsInOrder(self, assignmentDict): + """ + Internal utility function for interacting with the stored + probability dictionary. + + We would like to store a probability value for each + assignmentDict, but dicts aren't hashable since they're + mutable, so we can't have a dict with dicts as keys. + So we store the probability table in a dict where the keys are + tuples of variable values, without the variable name + associated with the value. + + This function takes an assignmentDict and processes it into an + ordered tuple of values where the values are the assignments + in assignmentDict. + We can then use this tuple to directly index into the + probability table dict. + + Use factor.getProbability and factor.setProbability instead, + for a better interface. + """ + reducedAssignmentDict = dict([(var, val) for (var, val) \ + in assignmentDict.items() if var in self.__variablesSet]) + variablesAndAssignments = reducedAssignmentDict.items() + variablesAndAssignments = sorted(variablesAndAssignments, \ + key=lambda var_val_tuple : self.__variableOrders[var_val_tuple[0]]) + return tuple([val for (var, val) in variablesAndAssignments]) + + def getAllPossibleAssignmentDicts(self): + """ + Use this function to get the assignmentDict for each + possible assignment for the combination of variables contained + in the factor. + + Returns a list of all assignmentDicts that the factor contains + rows for, allowing you to iterate through each row in the + factor when combined with getProbability and setProbability). + """ + cartesianProductOfAssignments = itertools.product(*[self.__variableDomainsDict[variable] for variable in reversed(self.__variables)]) + return [dict(zip(reversed(self.__variables), product)) for product in cartesianProductOfAssignments] + + + def __str__(self): + """ + Print a human-readable tabular representation of a factor. + """ + printSizeDict = {} + for variable in self.__variablesSet: + maxPrintSize = max(len(variable), max([len(str(variableValue)) for variableValue in self.__variableDomainsDict[variable]])) + printSizeDict[variable] = maxPrintSize + + returnString = "" + + # header with involved variables and unconditioned or unconditioned + returnString += "P(" + returnString += ", ".join([str(unconditionedVariable) for unconditionedVariable in self.__unconditionedVariables]) + + if len(self.__conditionedVariables) > 0: + returnString += " | " + returnString += ", ".join([str(conditionedVariable) for conditionedVariable in self.__conditionedVariables]) + + returnString += ")\n\n" + + # first line of table with variable names + varLine = " | " + " | ".join([str(unconditionedVariable)[:printSizeDict[unconditionedVariable]].center(printSizeDict[unconditionedVariable], ' ') + for unconditionedVariable in self.__unconditionedVariables]) + if len(self.__conditionedVariables) > 0: + varLine += " | " + " | ".join([str(conditionedVariable)[:printSizeDict[conditionedVariable]].center(printSizeDict[conditionedVariable], ' ') + for conditionedVariable in self.__conditionedVariables]) + varLine += " | " + "Prob:".center(7, " ") + " |" + + varLineLength = len(varLine) + + returnString += varLine + "\n" + + + # code for checking whether or not to print horizontal line + previousConditionedAssignments = [] + if len(self.__conditionedVariables) == 0: + returnString += " " + "".join(["-" for _ in range(varLineLength - 1)]) + "\n" + + # print out each row of table + for assignmentDict in self.getAllPossibleAssignmentDicts(): + # variable assignments + if len(self.__conditionedVariables) > 0: + conditionedAssignments = [assignmentDict[conditionedVariable] for conditionedVariable in self.__conditionedVariables] + if conditionedAssignments != previousConditionedAssignments: + returnString += " " + "".join(["-" for _ in range(varLineLength - 1)]) + "\n" + previousConditionedAssignments = conditionedAssignments + probability = self.getProbability(assignmentDict) + returnString += " | " + " | ".join([str(assignmentDict[unconditionedVariable])[:printSizeDict[unconditionedVariable]].center(printSizeDict[unconditionedVariable], ' ') + for unconditionedVariable in self.__unconditionedVariables]) + if len(self.__conditionedVariables) > 0: + returnString += " | " + " | ".join([str(assignmentDict[conditionedVariable])[:printSizeDict[conditionedVariable]].center(printSizeDict[conditionedVariable], ' ') + for conditionedVariable in self.__conditionedVariables]) + + # formatting for printing probability + if probability is None: + formattedProb = 'None'.center(7, ' ') + else: + digits = len(str(round(probability))) + formattedProb = "%.1e" % probability if probability < 10e-2 else ("%." + str(8 - digits) + "f") % probability + returnString += " | " + formattedProb + returnString += " |\n" + return returnString + + def __repr__(self): + returnRepr = "Factor(" + initArgs = [self.__unconditionedVariables, self.__conditionedVariables, self.__variableDomainsDict] + returnRepr += ", ".join([repr(arg) for arg in initArgs]) + returnRepr += ")" + return returnRepr + + def easierToParseString(self, prefix=None, printVariableDomainsDict=True): + """ + Print a representation of the bayes net that we have a parser for (in bayesNetTestClasses). + """ + if prefix is None: + prefix = '' + returnString = "" + if printVariableDomainsDict: + returnString += 'variableDomainsDict: """\n' + for (key, domain) in self.__variableDomainsDict.items(): + returnString += str(key) + ' : ' + " ".join([value for value in domain]) + '\n' + returnString += '"""\n\n' + + returnString += prefix + 'unconditionedVariables: "' + returnString += " ".join([unconditionedVariable for unconditionedVariable in self.__unconditionedVariables]) + returnString += '"\n\n' + + returnString += prefix + 'conditionedVariables: "' + returnString += " ".join([conditionedVariable for conditionedVariable in self.__conditionedVariables]) + returnString += '"\n\n' + + returnString += prefix + 'FactorTable: """\n' + for assignmentDict in self.getAllPossibleAssignmentDicts(): + probability = self.getProbability(assignmentDict) + returnString += ", ".join([variable + " : " + str(assignmentDict[variable]) \ + for variable in self.__variables]) + returnString += " = " + str(probability) + "\n" + returnString += '"""\n\n' + return returnString + + def specializeVariableDomains(self, newVariableDomainsDict): + """ + Returns a factor with the same variables as this factor + but with the reduced variable domains given by + newVariableDomainsDict. + + The entries in the probability are taken from the + corresponding entries in this factor. + """ + + # Make sure that newVariableDomainsDict has smaller or equal + # domain to factor.variableDomainsDict for all variables that + # this factor contains. + oldVariableDomains = self.variableDomainsDict() + for (variable, domain) in newVariableDomainsDict.items(): + if variable in self.variablesSet(): + oldVariableDomain = oldVariableDomains[variable] + for value in domain: + if value not in oldVariableDomain: + raise ValueError("newVariableDomainsDict is not a subset of factor.variableDomainsDict ", + "for variables contained in factor. " + "factor: " + str(self) + + " newVariableDomainsDict: " + str(newVariableDomainsDict) + + " factor.variableDomainsDict: " + str(self.variableDomainsDict()) + + " variable: " + str(variable) + + " value: " + str(value)) + + newFactor = Factor(self.unconditionedVariables(), self.conditionedVariables(), newVariableDomainsDict) + + for assignmentDict in newFactor.getAllPossibleAssignmentDicts(): + newFactor.setProbability(assignmentDict, self.getProbability(assignmentDict)) + + return newFactor + + +### bayes net construction utils + +def constructEmptyBayesNet(variableList, edgeTuplesList, variableDomainsDict): + " More convenient constructor for Bayes nets " + variablesSet = set(variableList) + inEdges = defaultdict(set) + outEdges = defaultdict(set) + for (parent, child) in edgeTuplesList: + # add the variables to the variables set + inEdges[child].add(parent) + outEdges[parent].add(child) + + newBayesNet = BayesNet(variablesSet, inEdges, outEdges, variableDomainsDict) + return newBayesNet + +def constructEmptyBayesNetFromString(bayesNetString): + variables = bayesNetString.split('\n')[0][len('Variables: '):].split(', ') + edgeStrings = bayesNetString.split('\n')[1][len('Edges: '):].split(', ') + edgeList = [(u, v) for u, _, v in map(tuple, map(str.split, edgeStrings))] + variableDomainsDict = eval(bayesNetString.split('\n')[2]) + return constructEmptyBayesNet(variables, edgeList, variableDomainsDict) + +def constructRandomlyFilledBayesNet(variableList, edgeTuplesList, variableDomainsDict): + " Random Bayes net constructor " + bayesNet = constructEmptyBayesNet(variableList, edgeTuplesList, variableDomainsDict) + fillTablesRandomly(bayesNet) + return bayesNet + + +def fillTablesRandomly(bayesNet): + " Fills a Bayes net with random variables " + for variable in bayesNet.variablesSet(): + conditionedVariables = bayesNet.inEdges()[variable] + conditionedVariablesList = list(conditionedVariables) + CPT = constructAndFillFactorRandomly([variable], conditionedVariablesList, bayesNet.variableDomainsDict()) + bayesNet.setCPT(variable, CPT) + +def fillWithOneConditionedAssignmentRandomly(factor, unconditionedVariables, conditionedVariables, product, variableDomainsDict): + """ + Fills one subtable of a factor (given one conditional assignment). + Makes this subtable sum to 1. + """ + cartesianProductOfUnConditionalAssignments = itertools.product(*[variableDomainsDict[unconditionedVariable] + for unconditionedVariable in unconditionedVariables]) + randomFills = [max(0.0, random.uniform(-0.4, 0.8)) for variableValue in cartesianProductOfUnConditionalAssignments] + conditionalProbabilitySum = sum(randomFills) + + # needs to sum to 1 + if abs(conditionalProbabilitySum) < 10e-13: + randomFills[0] = 1.0 + conditionalProbabilitySum = sum(randomFills) + + cartesianProductOfUnConditionalAssignments = itertools.product(*[variableDomainsDict[unconditionedVariable] + for unconditionedVariable in unconditionedVariables]) + + for (randomFill, variableValue) in zip(randomFills, cartesianProductOfUnConditionalAssignments): + assignmentDict = dict(zip(list(unconditionedVariables) + list(conditionedVariables), list(variableValue) + list(product))) + factor.setProbability(assignmentDict, randomFill / conditionalProbabilitySum) + + +def constructAndFillFactorRandomly(unconditionedVariables, conditionedVariables, variableDomainsDict): + " Wrapper around Factor constructor that fills the table randomly " + newFactor = Factor(unconditionedVariables, conditionedVariables, variableDomainsDict) + if len(conditionedVariables) > 0: + cartesianProductOfConditionalAssignments = itertools.product(*[variableDomainsDict[conditionedVariable] for conditionedVariable in conditionedVariables]) + for product in cartesianProductOfConditionalAssignments: + fillWithOneConditionedAssignmentRandomly(newFactor, unconditionedVariables, conditionedVariables, product, variableDomainsDict) + else: + fillWithOneConditionedAssignmentRandomly(newFactor, unconditionedVariables, [], [], variableDomainsDict) + return newFactor + +def reduceBayesNetVariablesWithEvidence(bayesNet, variablesToRemove, + evidenceDict): + """ + Prunes the variables in variablesToRemove away from the Bayes net + and returns a new Bayes net without variablesToRemove + """ + variablesToRemoveSet = set(variablesToRemove) + evidenceVariables = set(evidenceDict.keys()) + if len(variablesToRemoveSet & evidenceVariables) > 0: + raise ValueError("Evidence variables are in the list of variable to " + \ + "be removed from the Bayes' net. This is " + \ + "undefined. Evidence: " + str(evidenceDict) + \ + ". Variables to remove: " + str(variablesToRemoveSet)) + + newVariables = bayesNet.variablesSet() - variablesToRemoveSet + oldOutEdges = bayesNet.outEdges() + oldInEdges = bayesNet.inEdges() + newOutEdges = dict() + newInEdges = dict() + for variable in newVariables: + newOutEdges[variable] = set([y for y in oldOutEdges[variable] if y in newVariables]) + newInEdges[variable] = set([y for y in oldInEdges[variable] if y in newVariables]) + + newVariableDomainsDict = bayesNet.getReducedVariableDomains(evidenceDict) + + newBayesNet = BayesNet(newVariables, newInEdges, newOutEdges, + newVariableDomainsDict) + + unconditionedVariables = newVariables - evidenceVariables + for variable in bayesNet.variablesSet(): + if variable in newVariables: + oldCPT = bayesNet.getCPT(variable) + evidenceVariablesParents = [] + removedVariablesParents = [] + unconditionedVariablesParents = [] + for parentVariable in oldCPT.conditionedVariables(): + if parentVariable in variablesToRemoveSet: + removedVariablesParents.append(parentVariable) + elif parentVariable in evidenceVariables: + evidenceVariablesParents.append(parentVariable) + else: + unconditionedVariablesParents.append(parentVariable) + + if variable in evidenceVariables and \ + len(unconditionedVariablesParents) == 0: + newCPT = Factor([variable], evidenceVariablesParents, \ + newVariableDomainsDict) + # only one entry in this CPT since all parents are + # removed or evidence variables (and thus have one entry) + newCPT.setProbability(evidenceDict, 1.0) + + else: + if len(removedVariablesParents) == 0: + newCPT = oldCPT.specializeVariableDomains(newVariableDomainsDict) + else: + raise ValueError("Variable: " + str(variable) + \ + "'s parent: " + str(parentVariable) + \ + " is not in the reduced bayes net, " + \ + "so we can't unambiguously reduce the " + \ + "Bayes' net.") + + newBayesNet.setCPT(variable, newCPT) + else: + oldCPT = bayesNet.getCPT(variable) + #for parentVariable in oldCPT.conditionedVariables(): + #if parentVariable in unconditionedVariables: + #raise ValueError("Variable " + str(variable) + \ + #" is to be removed but its parent " \ + #+ str(parentVariable) + \ + #" is an unconditioned variable in the " \ + #+ "reduced bayes net, " + \ + #"so we can't reduce the " + \ + #"Bayes' net.") + + + return newBayesNet + + +def printStarterBayesNet(): + """ + Exploring Bayes net functions, printing, and creation. + Pay close attention to how factors are created and modified. + """ + + # This is the example V structured Bayes' net from the lecture + # on Bayes' nets independence. + # Constructing Bayes' nets: variables list + variableList = ['Raining', 'Ballgame', 'Traffic'] + + # Constructing Bayes' nets, edge list: (x, y) means edge from x to y + edgeTuplesList = [('Raining', 'Traffic'), ('Ballgame', 'Traffic')] + + # Construct the domain for each variable (a list like) + variableDomainsDict = {} + variableDomainsDict['Raining'] = ['yes', 'no'] + variableDomainsDict['Ballgame'] = ['yes', 'no'] + variableDomainsDict['Traffic'] = ['yes', 'no'] + + # None of the conditional probability tables are assigned yet in our Bayes' net + bayesNet = constructEmptyBayesNet(variableList, edgeTuplesList, variableDomainsDict) + + # Create a factor for each CPT. + # The first input is the list of unconditioned variables in your factor, + # the second input is the list of conditioned variables in your factor, + # and the third input is the dict of domains for your variables. + rainingCPT = Factor(['Raining'], [], variableDomainsDict) + + print("Print a conditional probability table (henceforth known as a CPT) " + \ + "to see a pretty print of the variables in a factor and its " + \ + "probability table in your terminal. " + \ + "CPTs come initialized with 0 for each row in the table: \n") + print(rainingCPT) + + # We use assignmentDicts to set and get probability entries from Factors. + # An assignmentDict is a dict {variable : variableValue} of assignments + # of variables to values (where the variableValue must be in + # variableDomainsDict[variable] + + rainAssignmentDict = {'Raining' : 'yes'} + rainingCPT.setProbability(rainAssignmentDict, 0.3) + + rainAssignmentDict = {'Raining' : 'no'} + rainingCPT.setProbability(rainAssignmentDict, 0.7) + + print('After setting entries: \n') + + print(rainingCPT) + + # The traffic factor has two conditioned variables and one unconditioned + # variable. Each variable has a domain size of 2, so we have + # 2^3 = 8 possible assignments (and thus 8 rows in our probability table). + + trafficCPT = Factor(['Traffic'], ['Raining', 'Ballgame'], variableDomainsDict) + + TRB = {'Traffic' : 'yes', 'Raining' : 'yes', 'Ballgame' : 'yes'} + tRB = {'Traffic' : 'no', 'Raining' : 'yes', 'Ballgame' : 'yes'} + TrB = {'Traffic' : 'yes', 'Raining' : 'no', 'Ballgame' : 'yes'} + trB = {'Traffic' : 'no', 'Raining' : 'no', 'Ballgame' : 'yes'} + TRb = {'Traffic' : 'yes', 'Raining' : 'yes', 'Ballgame' : 'no' } + tRb = {'Traffic' : 'no', 'Raining' : 'yes', 'Ballgame' : 'no' } + Trb = {'Traffic' : 'yes', 'Raining' : 'no', 'Ballgame' : 'no' } + trb = {'Traffic' : 'no', 'Raining' : 'no', 'Ballgame' : 'no' } + + # For a CPT, we must have that the sum of the probability of all the + # unconditionedVariables for a given assignment of conditioned + # variables must sum to 1 + trafficCPT.setProbability(TRB, 0.95) + trafficCPT.setProbability(tRB, 0.05) + trafficCPT.setProbability(TrB, 0.90) + trafficCPT.setProbability(trB, 0.10) + trafficCPT.setProbability(TRb, 0.70) + trafficCPT.setProbability(tRb, 0.30) + trafficCPT.setProbability(Trb, 0.15) + trafficCPT.setProbability(trb, 0.85) + + print("Note that in the table output of print for factors with conditioned " + \ + "variables, each region with a different assignment of conditioned " + \ + "variables is divided into a region in the table, separated from " + \ + "other conditioned assignments by a horizontal bar. " + \ + "If a factor is a CPT, each sub table of that factor will sum to 1. \n") + print(trafficCPT) + + print("You can use factor.getAllPossibleAssignmentDicts() " + \ + "to iterate through all combinations of assignments:\n") + for assignmentDict in trafficCPT.getAllPossibleAssignmentDicts(): + print(assignmentDict) + + # Fill in the ballGame CPT, very similar to raining + + ballgameCPT = Factor(['Ballgame'], [], variableDomainsDict) + + # Note that we can use assignmentDicts that contain assignments for + # more variables than a factor mentions. + # Here, we pass in an assignmentDict that has 3 variable assignments + # but ballgameCPT only contains variable Ballgame + ballgameCPT.setProbability(TRB, 0.05) + + ballgameCPT.setProbability(TRb, 0.95) + + print("\nLast CPT: \n") + + print(ballgameCPT) + + # Set the factors for the bayes net to be these CPTs + bayesNet.setCPT('Raining', rainingCPT) + bayesNet.setCPT('Ballgame', ballgameCPT) + bayesNet.setCPT('Traffic', trafficCPT) + + print("Print a Bayes' net to see its variables, edges, and " + \ + "the CPT for each variable.\n") + print(bayesNet) + + print("You can get a list of all CPTs from a Bayes' net, instantiated with " + \ + "evidence, with the getAllCPTsWithEvidence function. " + \ + "The evidenceDict input is an assignmentDict of " + \ + "(evidenceVariable, evidenceValue) pairs. " + \ + "Instantiation with evidence reduces the variable domains and thus " + \ + "selects a subset of entries from the probability table.") + + evidenceDict = {'Raining' : 'yes'} + for CPT in bayesNet.getAllCPTsWithEvidence(evidenceDict): + print(CPT) + + print('If it is empty or None, the full CPTs will be returned. \n') + + for CPT in bayesNet.getAllCPTsWithEvidence(): + print(CPT) + + print("If only one variable's CPT is desired, you can get just that particular " + \ + "CPT with the bayesNet.getCPT function. \n") + + print(bayesNet.getCPT('Traffic')) + + print(bayesNet.easierToParseString()) + +def normalize(factor): + """ + Normalizes, assumes the operation is mathematically valid on the passed in factor. + """ + variableDomainsDict = factor.variableDomainsDict() + for conditionedVariable in factor.conditionedVariables(): + if len(variableDomainsDict[conditionedVariable]) > 1: + print("Factor failed normalize typecheck: ", factor) + raise ValueError("The factor to be normalized must have only one " + \ + "assignment of the \n" + "conditional variables, " + \ + "so that total probability will sum to 1\n" + + str(factor)) + newUCVars, newCVars = factor.unconditionedVariables(), factor.conditionedVariables() + for var in variableDomainsDict: + if len(variableDomainsDict[var]) == 1 and var in newUCVars: + newUCVars.remove(var) + newCVars.add(var) + newFactor = Factor(newUCVars, newCVars, variableDomainsDict) + probSum = sum([factor.getProbability(a) for a in factor.getAllPossibleAssignmentDicts()]) + if not probSum: + return None + for a in factor.getAllPossibleAssignmentDicts(): + normalizedProb = factor.getProbability(a) / probSum + newFactor.setProbability(a, normalizedProb) + + return newFactor + + +if __name__ == "__main__": + printStarterBayesNet() diff --git a/tracking/busters.py b/tracking/busters.py new file mode 100644 index 0000000..45ca7e7 --- /dev/null +++ b/tracking/busters.py @@ -0,0 +1,568 @@ +# busters.py +# ---------- +# Licensing Information: You are free to use or extend these projects for +# educational purposes provided that (1) you do not distribute or publish +# solutions, (2) you retain this notice, and (3) you provide clear +# attribution to UC Berkeley, including a link to http://ai.berkeley.edu. +# +# Attribution Information: The Pacman AI projects were developed at UC Berkeley. +# The core projects and autograders were primarily created by John DeNero +# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu). +# Student side autograding was added by Brad Miller, Nick Hay, and +# Pieter Abbeel (pabbeel@cs.berkeley.edu). + + +""" +Busters.py is a vengeful variant of Pacman where Pacman hunts ghosts, but +cannot see them. Numbers at the bottom of the display are noisy distance +readings to each remaining ghost. + +To play your first game, type 'python pacman.py' from the command line. +The keys are 'a', 's', 'd', and 'w' to move (or arrow keys). Have fun! +""" +from game import GameStateData +from game import Game +from game import Directions +from game import Actions +from game import Configuration +from util import nearestPoint +from util import manhattanDistance +import sys, util, types, time, random, layout, os + +######################################## +# Parameters for noisy sensor readings # +######################################## + +SONAR_NOISE_RANGE = 15 # Must be odd +SONAR_MAX = (SONAR_NOISE_RANGE - 1)/2 +SONAR_NOISE_VALUES = [i - SONAR_MAX for i in range(SONAR_NOISE_RANGE)] +SONAR_DENOMINATOR = 2 ** SONAR_MAX + 2 ** (SONAR_MAX + 1) - 2.0 +SONAR_NOISE_PROBS = [2 ** (SONAR_MAX-abs(v)) / SONAR_DENOMINATOR for v in SONAR_NOISE_VALUES] + +def getNoisyDistance(pos1, pos2): + if pos2[1] == 1: return None + distance = util.manhattanDistance(pos1, pos2) + return max(0, distance + util.sample(SONAR_NOISE_PROBS, SONAR_NOISE_VALUES)) + +observationDistributions = {} +def getObservationProbability(noisyDistance, trueDistance): + """ + Returns the probability P( noisyDistance | trueDistance ). + """ + global observationDistributions + if noisyDistance not in observationDistributions: + distribution = util.Counter() + for error , prob in zip(SONAR_NOISE_VALUES, SONAR_NOISE_PROBS): + distribution[max(1, noisyDistance - error)] += prob + observationDistributions[noisyDistance] = distribution + return observationDistributions[noisyDistance][trueDistance] + +################################################### +# YOUR INTERFACE TO THE PACMAN WORLD: A GameState # +################################################### + +class GameState: + """ + A GameState specifies the full game state, including the food, capsules, + agent configurations and score changes. + + GameStates are used by the Game object to capture the actual state of the game and + can be used by agents to reason about the game. + + Much of the information in a GameState is stored in a GameStateData object. We + strongly suggest that you access that data via the accessor methods below rather + than referring to the GameStateData object directly. + + Note that in classic Pacman, Pacman is always agent 0. + """ + + #################################################### + # Accessor methods: use these to access state data # + #################################################### + + def getLegalActions( self, agentIndex=0 ): + """ + Returns the legal actions for the agent specified. + """ + if self.isWin() or self.isLose(): return [] + + if agentIndex == 0: # Pacman is moving + return PacmanRules.getLegalActions( self ) + else: + return GhostRules.getLegalActions( self, agentIndex ) + + def getResult( self, agentIndex, action): + """ + Returns the state after the specified agent takes the action. + """ + # Check that successors exist + if self.isWin() or self.isLose(): raise Exception('Can\'t generate a result of a terminal state.') + + # Copy current state + state = GameState(self) + + # Let agent's logic deal with its action's effects on the board + if agentIndex == 0: # Pacman is moving + state.data._eaten = [False for i in range(state.getNumAgents())] + PacmanRules.applyAction( state, action ) + else: # A ghost is moving + GhostRules.applyAction( state, action, agentIndex ) + + # Time passes + if agentIndex == 0: + state.data.scoreChange += -TIME_PENALTY # Penalty for waiting around + else: + GhostRules.decrementTimer( state.data.agentStates[agentIndex] ) + + # Resolve multi-agent effects + GhostRules.checkDeath( state, agentIndex ) + + # Book keeping + state.data._agentMoved = agentIndex + state.data.score += state.data.scoreChange + p = state.getPacmanPosition() + state.data.ghostDistances = [getNoisyDistance(p, state.getGhostPosition(i)) for i in range(1,state.getNumAgents())] + if agentIndex == self.getNumAgents() - 1: + state.numMoves += 1 + return state + + def getLegalPacmanActions( self ): + return self.getLegalActions( 0 ) + + def getPacmanResult( self, action ): + """ + Generates the result state after the specified pacman action + """ + return self.getResult( 0, action ) + + def getPacmanState( self ): + """ + Returns an AgentState object for pacman (in game.py) + + state.pos gives the current position + state.direction gives the travel vector + """ + return self.data.agentStates[0].copy() + + def getPacmanPosition( self ): + return self.data.agentStates[0].getPosition() + + def getNumAgents( self ): + return len( self.data.agentStates ) + + def getScore( self ): + return self.data.score + + def getCapsules(self): + """ + Returns a list of positions (x,y) of the remaining capsules. + """ + return self.data.capsules + + def getNumFood( self ): + return self.data.food.count() + + def getFood(self): + """ + Returns a Grid of boolean food indicator variables. + + Grids can be accessed via list notation, so to check + if there is food at (x,y), just call + + currentFood = state.getFood() + if currentFood[x][y] == True: ... + """ + return self.data.food + + def getWalls(self): + """ + Returns a Grid of boolean wall indicator variables. + + Grids can be accessed via list notation, so to check + if there is food at (x,y), just call + + walls = state.getWalls() + if walls[x][y] == True: ... + """ + return self.data.layout.walls + + def hasFood(self, x, y): + return self.data.food[x][y] + + def hasWall(self, x, y): + return self.data.layout.walls[x][y] + + ############################## + # Additions for Busters Pacman # + ############################## + + def getLivingGhosts(self): + """ + Returns a list of booleans indicating which ghosts are not yet captured. + + The first entry (a placeholder for Pacman's index) is always False. + """ + return self.livingGhosts + + def setGhostNotLiving(self, index): + self.livingGhosts[index] = False + + def isLose( self ): + return self.maxMoves > 0 and self.numMoves >= self.maxMoves + + def isWin( self ): + return self.livingGhosts.count(True) == 0 + + def getNoisyGhostDistances(self): + """ + Returns a noisy distance to each ghost. + """ + return self.data.ghostDistances + + ############################################# + # Helper methods: # + # You shouldn't need to call these directly # + ############################################# + + def __init__( self, prevState = None ): + """ + Generates a new state by copying information from its predecessor. + """ + if prevState != None: + self.data = GameStateData(prevState.data) + self.livingGhosts = prevState.livingGhosts[:] + self.numMoves = prevState.numMoves; + self.maxMoves = prevState.maxMoves; + else: # Initial state + self.data = GameStateData() + self.numMoves = 0; + self.maxMoves = -1; + self.data.ghostDistances = [] + + def deepCopy( self ): + state = GameState( self ) + state.data = self.data.deepCopy() + state.data.ghostDistances = self.data.ghostDistances + return state + + def __eq__( self, other ): + """ + Allows two states to be compared. + """ + if other is None: + return False + return self.data == other.data + + def __hash__( self ): + """ + Allows states to be keys of dictionaries. + """ + return hash( str( self ) ) + + def __str__( self ): + + return str(self.data) + + def initialize( self, layout, numGhostAgents=1000 ): + """ + Creates an initial game state from a layout array (see layout.py). + """ + self.data.initialize(layout, numGhostAgents) + self.livingGhosts = [False] + [True for i in range(numGhostAgents)] + self.data.ghostDistances = [getNoisyDistance(self.getPacmanPosition(), self.getGhostPosition(i)) for i in range(1, self.getNumAgents())] + + def getGhostPosition( self, agentIndex ): + if agentIndex == 0: + raise "Pacman's index passed to getGhostPosition" + return self.data.agentStates[agentIndex].getPosition() + + def getGhostState( self, agentIndex ): + if agentIndex == 0: + raise "Pacman's index passed to getGhostPosition" + return self.data.agentStates[agentIndex] + +############################################################################ +# THE HIDDEN SECRETS OF PACMAN # +# # +# You shouldn't need to look through the code in this section of the file. # +############################################################################ + +COLLISION_TOLERANCE = 0.7 # How close ghosts must be to Pacman to kill +TIME_PENALTY = 1 # Number of points lost each round + +class BustersGameRules: + """ + These game rules manage the control flow of a game, deciding when + and how the game starts and ends. + """ + + def newGame( self, layout, pacmanAgent, ghostAgents, display, maxMoves= -1 ): + agents = [pacmanAgent] + ghostAgents + initState = GameState() + initState.initialize( layout, len(ghostAgents)) + game = Game(agents, display, self) + game.state = initState + game.state.maxMoves = maxMoves + return game + + def process(self, state, game): + """ + Checks to see whether it is time to end the game. + """ + if state.isWin(): self.win(state, game) + if state.isLose(): self.lose(state, game) + + def win( self, state, game ): + game.gameOver = True + + def lose( self, state, game ): + game.gameOver = True + +class PacmanRules: + """ + These functions govern how pacman interacts with his environment under + the classic game rules. + """ + def getLegalActions( state ): + """ + Returns a list of possible actions. + """ + return Actions.getPossibleActions( state.getPacmanState().configuration, state.data.layout.walls ) + getLegalActions = staticmethod( getLegalActions ) + + def applyAction( state, action ): + """ + Edits the state to reflect the results of the action. + """ + legal = PacmanRules.getLegalActions( state ) + if action not in legal: + raise Exception("Illegal action {}".format(action)) + + pacmanState = state.data.agentStates[0] + + # Update Configuration + vector = Actions.directionToVector( action, 1) + pacmanState.configuration = pacmanState.configuration.generateSuccessor( vector ) + + applyAction = staticmethod( applyAction ) + +class GhostRules: + """ + These functions dictate how ghosts interact with their environment. + """ + def getLegalActions( state, ghostIndex ): + conf = state.getGhostState( ghostIndex ).configuration + return Actions.getPossibleActions( conf, state.data.layout.walls ) + getLegalActions = staticmethod( getLegalActions ) + + def applyAction( state, action, ghostIndex): + legal = GhostRules.getLegalActions( state, ghostIndex ) + if action not in legal: + raise Exception("Illegal ghost action: " + str(action)) + + ghostState = state.data.agentStates[ghostIndex] + vector = Actions.directionToVector( action, 1 ) + ghostState.configuration = ghostState.configuration.generateSuccessor( vector ) + applyAction = staticmethod( applyAction ) + + def decrementTimer( ghostState): + timer = ghostState.scaredTimer + if timer == 1: + ghostState.configuration.pos = nearestPoint( ghostState.configuration.pos ) + ghostState.scaredTimer = max( 0, timer - 1 ) + decrementTimer = staticmethod( decrementTimer ) + + def checkDeath( state, agentIndex): + pacmanPosition = state.getPacmanPosition() + if agentIndex == 0: # Pacman just moved; Anyone can kill him + for index in range( 1, len( state.data.agentStates ) ): + ghostState = state.data.agentStates[index] + ghostPosition = ghostState.configuration.getPosition() + if GhostRules.canKill( pacmanPosition, ghostPosition ): + GhostRules.collide( state, ghostState, index ) + else: + ghostState = state.data.agentStates[agentIndex] + ghostPosition = ghostState.configuration.getPosition() + if GhostRules.canKill( pacmanPosition, ghostPosition ): + GhostRules.collide( state, ghostState, agentIndex ) + checkDeath = staticmethod( checkDeath ) + + def collide( state, ghostState, agentIndex): + state.data.scoreChange += 200 + GhostRules.placeGhost(ghostState, agentIndex) + # Added for first-person + state.data._eaten[agentIndex] = True + state.setGhostNotLiving(agentIndex) + collide = staticmethod( collide ) + + def canKill( pacmanPosition, ghostPosition ): + return manhattanDistance( ghostPosition, pacmanPosition ) <= COLLISION_TOLERANCE + canKill = staticmethod( canKill ) + + def placeGhost(ghostState, agentIndex): + pos = (agentIndex * 2 - 1, 1) + direction = Directions.STOP + ghostState.configuration = Configuration(pos, direction) + placeGhost = staticmethod( placeGhost ) + +class RandomGhost: + def __init__( self, index ): + self.index = index + + def getAction( self, state ): + return random.choice( state.getLegalActions( self.index ) ) + + def getDistribution( self, state ): + actions = state.getLegalActions( self.index ) + prob = 1.0 / len( actions ) + return [( prob, action ) for action in actions] + +############################# +# FRAMEWORK TO START A GAME # +############################# + +def default(str): + return str + ' [Default: %default]' + +def parseAgentArgs(str): + if str == None: return {} + pieces = str.split(',') + opts = {} + for p in pieces: + if '=' in p: + key, val = p.split('=') + else: + key,val = p, 1 + opts[key] = val + return opts + +def readCommand( argv ): + """ + Processes the command used to run pacman from the command line. + """ + from optparse import OptionParser + usageStr = """ + USAGE: python busters.py + EXAMPLE: python busters.py --layout bigHunt + - starts an interactive game on a big board + """ + parser = OptionParser(usageStr) + + parser.add_option('-n', '--numGames', dest='numGames', type='int', + help=default('the number of GAMES to play'), metavar='GAMES', default=1) + parser.add_option('-l', '--layout', dest='layout', + help=default('the LAYOUT_FILE from which to load the map layout'), + metavar='LAYOUT_FILE', default='oneHunt') + parser.add_option('-p', '--pacman', dest='pacman', + help=default('the agent TYPE in the pacmanAgents module to use'), + metavar='TYPE', default='BustersKeyboardAgent') + parser.add_option('-a','--agentArgs',dest='agentArgs', + help='Comma seperated values sent to agent. e.g. "opt1=val1,opt2,opt3=val3"') + parser.add_option('-g', '--ghosts', dest='ghost', + help=default('the ghost agent TYPE in the ghostAgents module to use'), + metavar = 'TYPE', default='RandomGhost') + parser.add_option('-q', '--quietTextGraphics', action='store_true', dest='quietGraphics', + help='Generate minimal output and no graphics', default=False) + parser.add_option('-k', '--numghosts', type='int', dest='numGhosts', + help=default('The maximum number of ghosts to use'), default=4) + parser.add_option('-z', '--zoom', type='float', dest='zoom', + help=default('Zoom the size of the graphics window'), default=1.0) + parser.add_option('-f', '--fixRandomSeed', action='store_true', dest='fixRandomSeed', + help='Fixes the random seed to always play the same game', default=False) + parser.add_option('-s', '--showGhosts', action='store_true', dest='showGhosts', + help='Renders the ghosts in the display (cheating)', default=False) + parser.add_option('-t', '--frameTime', dest='frameTime', type='float', + help=default('Time to delay between frames; <0 means keyboard'), default=0.1) + + options, otherjunk = parser.parse_args() + if len(otherjunk) != 0: + raise Exception('Command line input not understood: ' + otherjunk) + args = dict() + + # Fix the random seed + if options.fixRandomSeed: random.seed('bustersPacman') + + # Choose a layout + args['layout'] = layout.getLayout( options.layout ) + if args['layout'] == None: raise Exception("The layout " + options.layout + " cannot be found") + + # Choose a ghost agent + ghostType = loadAgent(options.ghost, options.quietGraphics) + args['ghosts'] = [ghostType( i+1 ) for i in range( options.numGhosts )] + + # Choose a Pacman agent + noKeyboard = options.quietGraphics + pacmanType = loadAgent(options.pacman, noKeyboard) + agentOpts = parseAgentArgs(options.agentArgs) + agentOpts['ghostAgents'] = args['ghosts'] + pacman = pacmanType(**agentOpts) # Instantiate Pacman with agentArgs + args['pacman'] = pacman + + import graphicsDisplay + args['display'] = graphicsDisplay.FirstPersonPacmanGraphics(options.zoom, \ + options.showGhosts, \ + frameTime = options.frameTime) + args['numGames'] = options.numGames + + return args + +def loadAgent(pacman, nographics): + # Looks through all pythonPath Directories for the right module, + pythonPathStr = os.path.expandvars("$PYTHONPATH") + if pythonPathStr.find(';') == -1: + pythonPathDirs = pythonPathStr.split(':') + else: + pythonPathDirs = pythonPathStr.split(';') + pythonPathDirs.append('.') + + for moduleDir in pythonPathDirs: + if not os.path.isdir(moduleDir): continue + moduleNames = [f for f in os.listdir(moduleDir) if f.endswith('gents.py')] + for modulename in moduleNames: + try: + module = __import__(modulename[:-3]) + except ImportError: + continue + if pacman in dir(module): + if nographics and modulename == 'keyboardAgents.py': + raise Exception('Using the keyboard requires graphics (not text display)') + return getattr(module, pacman) + raise Exception('The agent ' + pacman + ' is not specified in any *Agents.py.') + +def runGames( layout, pacman, ghosts, display, numGames, maxMoves=-1): + # Hack for agents writing to the display + import __main__ + __main__.__dict__['_display'] = display + + rules = BustersGameRules() + games = [] + + for i in range( numGames ): + game = rules.newGame( layout, pacman, ghosts, display, maxMoves ) + game.run() + games.append(game) + + if numGames > 1: + scores = [game.state.getScore() for game in games] + wins = [game.state.isWin() for game in games] + winRate = wins.count(True)/ float(len(wins)) + print('Average Score:', sum(scores) / float(len(scores))) + print('Scores: ', ', '.join([str(score) for score in scores])) + print('Win Rate: %d/%d (%.2f)' % (wins.count(True), len(wins), winRate)) + print('Record: ', ', '.join([ ['Loss', 'Win'][int(w)] for w in wins])) + + return games + +if __name__ == '__main__': + """ + The main function called when pacman.py is run + from the command line: + + > python pacman.py + + See the usage string for more details. + + > python pacman.py --help + """ + args = readCommand( sys.argv[1:] ) # Get game components based on input + runGames( **args ) diff --git a/tracking/bustersAgents.py b/tracking/bustersAgents.py new file mode 100644 index 0000000..a6fd060 --- /dev/null +++ b/tracking/bustersAgents.py @@ -0,0 +1,153 @@ +# bustersAgents.py +# ---------------- +# Licensing Information: You are free to use or extend these projects for +# educational purposes provided that (1) you do not distribute or publish +# solutions, (2) you retain this notice, and (3) you provide clear +# attribution to UC Berkeley, including a link to http://ai.berkeley.edu. +# +# Attribution Information: The Pacman AI projects were developed at UC Berkeley. +# The core projects and autograders were primarily created by John DeNero +# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu). +# Student side autograding was added by Brad Miller, Nick Hay, and +# Pieter Abbeel (pabbeel@cs.berkeley.edu). + + +import util +from util import raiseNotDefined +from game import Agent +from game import Directions +from keyboardAgents import KeyboardAgent +import inference +import busters + +class NullGraphics: + "Placeholder for graphics" + def initialize(self, state, isBlue = False): + pass + def update(self, state): + pass + def pause(self): + pass + def draw(self, state): + pass + def updateDistributions(self, dist): + pass + def finish(self): + pass + +class KeyboardInference(inference.InferenceModule): + """ + Basic inference module for use with the keyboard. + """ + def initializeUniformly(self, gameState): + "Begin with a uniform distribution over ghost positions." + self.beliefs = util.Counter() + for p in self.legalPositions: self.beliefs[p] = 1.0 + self.beliefs.normalize() + + def observeUpdate(self, observation, gameState): + noisyDistance = observation + pacmanPosition = gameState.getPacmanPosition() + allPossible = util.Counter() + for p in self.legalPositions: + trueDistance = util.manhattanDistance(p, pacmanPosition) + if noisyDistance != None and \ + busters.getObservationProbability(noisyDistance, trueDistance) > 0: + allPossible[p] = 1.0 + allPossible.normalize() + self.beliefs = allPossible + + def elapseTime(self, gameState): + pass + + def getBeliefDistribution(self): + return self.beliefs + + +class BustersAgent: + "An agent that tracks and displays its beliefs about ghost positions." + + def __init__( self, index = 0, inference = "ExactInference", ghostAgents = None, observeEnable = True, elapseTimeEnable = True): + try: + inferenceType = util.lookup(inference, globals()) + except Exception: + inferenceType = util.lookup('inference.' + inference, globals()) + self.inferenceModules = [inferenceType(a) for a in ghostAgents] + self.observeEnable = observeEnable + self.elapseTimeEnable = elapseTimeEnable + + def registerInitialState(self, gameState): + "Initializes beliefs and inference modules" + import __main__ + self.display = __main__._display + for inference in self.inferenceModules: + inference.initialize(gameState) + self.ghostBeliefs = [inf.getBeliefDistribution() for inf in self.inferenceModules] + self.firstMove = True + + def observationFunction(self, gameState): + "Removes the ghost states from the gameState" + agents = gameState.data.agentStates + gameState.data.agentStates = [agents[0]] + [None for i in range(1, len(agents))] + return gameState + + def getAction(self, gameState): + "Updates beliefs, then chooses an action based on updated beliefs." + for index, inf in enumerate(self.inferenceModules): + if not self.firstMove and self.elapseTimeEnable: + inf.elapseTime(gameState) + self.firstMove = False + if self.observeEnable: + inf.observe(gameState) + self.ghostBeliefs[index] = inf.getBeliefDistribution() + self.display.updateDistributions(self.ghostBeliefs) + return self.chooseAction(gameState) + + def chooseAction(self, gameState): + "By default, a BustersAgent just stops. This should be overridden." + return Directions.STOP + +class BustersKeyboardAgent(BustersAgent, KeyboardAgent): + "An agent controlled by the keyboard that displays beliefs about ghost positions." + + def __init__(self, index = 0, inference = "KeyboardInference", ghostAgents = None): + KeyboardAgent.__init__(self, index) + BustersAgent.__init__(self, index, inference, ghostAgents) + + def getAction(self, gameState): + return BustersAgent.getAction(self, gameState) + + def chooseAction(self, gameState): + return KeyboardAgent.getAction(self, gameState) + +from distanceCalculator import Distancer +from game import Actions +from game import Directions + +class GreedyBustersAgent(BustersAgent): + "An agent that charges the closest ghost." + + def registerInitialState(self, gameState: busters.GameState): + "Pre-computes the distance between every two points." + BustersAgent.registerInitialState(self, gameState) + self.distancer = Distancer(gameState.data.layout, False) + + ########### ########### ########### + ########### QUESTION 8 ########### + ########### ########### ########### + + def chooseAction(self, gameState: busters.GameState): + """ + First computes the most likely position of each ghost that has + not yet been captured, then chooses an action that brings + Pacman closest to the closest ghost (according to mazeDistance!). + """ + pacmanPosition = gameState.getPacmanPosition() + legal = [a for a in gameState.getLegalPacmanActions()] + livingGhosts = gameState.getLivingGhosts() + livingGhostPositionDistributions = \ + [beliefs for i, beliefs in enumerate(self.ghostBeliefs) + if livingGhosts[i+1]] + "*** YOUR CODE HERE ***" + raiseNotDefined() + "*** END YOUR CODE HERE ***" diff --git a/tracking/bustersGhostAgents.py b/tracking/bustersGhostAgents.py new file mode 100644 index 0000000..81b858f --- /dev/null +++ b/tracking/bustersGhostAgents.py @@ -0,0 +1,60 @@ +# bustersGhostAgents.py +# --------------------- +# Licensing Information: You are free to use or extend these projects for +# educational purposes provided that (1) you do not distribute or publish +# solutions, (2) you retain this notice, and (3) you provide clear +# attribution to UC Berkeley, including a link to http://ai.berkeley.edu. +# +# Attribution Information: The Pacman AI projects were developed at UC Berkeley. +# The core projects and autograders were primarily created by John DeNero +# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu). +# Student side autograding was added by Brad Miller, Nick Hay, and +# Pieter Abbeel (pabbeel@cs.berkeley.edu). + + +import ghostAgents +from game import Directions +from game import Actions +from util import manhattanDistance +import util + +class StationaryGhost( ghostAgents.GhostAgent ): + def getDistribution( self, state ): + dist = util.Counter() + dist[Directions.STOP] = 1.0 + return dist + +class DispersingGhost( ghostAgents.GhostAgent ): + "Chooses an action that distances the ghost from the other ghosts with probability spreadProb." + def __init__( self, index, spreadProb=0.5): + self.index = index + self.spreadProb = spreadProb + + def getDistribution( self, state ): + ghostState = state.getGhostState( self.index ) + legalActions = state.getLegalActions( self.index ) + pos = state.getGhostPosition( self.index ) + isScared = ghostState.scaredTimer > 0 + + speed = 1 + if isScared: speed = 0.5 + actionVectors = [Actions.directionToVector( a, speed ) for a in legalActions] + newPositions = [( pos[0]+a[0], pos[1]+a[1] ) for a in actionVectors] + + # get other ghost positions + others = [i for i in range(1,state.getNumAgents()) if i != self.index] + for a in others: assert state.getGhostState(a) != None, "Ghost position unspecified in state!" + otherGhostPositions = [state.getGhostPosition(a) for a in others if state.getGhostPosition(a)[1] > 1] + + # for each action, get the sum of inverse squared distances to the other ghosts + sumOfDistances = [] + for pos in newPositions: + sumOfDistances.append( sum([(1+manhattanDistance(pos, g))**(-2) for g in otherGhostPositions]) ) + + bestDistance = min(sumOfDistances) + numBest = [bestDistance == dist for dist in sumOfDistances].count(True) + distribution = util.Counter() + for action, distance in zip(legalActions, sumOfDistances): + if distance == bestDistance: distribution[action] += self.spreadProb / numBest + distribution[action] += (1 - self.spreadProb) / len(legalActions) + return distribution diff --git a/tracking/distanceCalculator.py b/tracking/distanceCalculator.py new file mode 100644 index 0000000..9d3cc20 --- /dev/null +++ b/tracking/distanceCalculator.py @@ -0,0 +1,191 @@ +# distanceCalculator.py +# --------------------- +# Licensing Information: You are free to use or extend these projects for +# educational purposes provided that (1) you do not distribute or publish +# solutions, (2) you retain this notice, and (3) you provide clear +# attribution to UC Berkeley, including a link to http://ai.berkeley.edu. +# +# Attribution Information: The Pacman AI projects were developed at UC Berkeley. +# The core projects and autograders were primarily created by John DeNero +# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu). +# Student side autograding was added by Brad Miller, Nick Hay, and +# Pieter Abbeel (pabbeel@cs.berkeley.edu). + + +""" +This file contains a Distancer object which computes and +caches the shortest path between any two points in the maze. It +returns a Manhattan distance between two points if the maze distance +has not yet been calculated. + +Example: +distancer = Distancer(gameState.data.layout) +distancer.getDistance( (1,1), (10,10) ) + +The Distancer object also serves as an example of sharing data +safely among agents via a global dictionary (distanceMap), +and performing asynchronous computation via threads. These +examples may help you in designing your own objects, but you +shouldn't need to modify the Distancer code in order to use its +distances. +""" + +import threading, sys, time, random + +class Distancer: + def __init__(self, layout, background=True, default=10000): + """ + Initialize with Distancer(layout). Changing default is unnecessary. + + This will start computing maze distances in the background and use them + as soon as they are ready. In the meantime, it returns manhattan distance. + + To compute all maze distances on initialization, set background=False + """ + self._distances = None + self.default = default + + # Start computing distances in the background; when the dc finishes, + # it will fill in self._distances for us. + dc = DistanceCalculator() + dc.setAttr(layout, self) + dc.setDaemon(True) + if background: + dc.start() + else: + dc.run() + + def getDistance(self, pos1, pos2): + """ + The getDistance function is the only one you'll need after you create the object. + """ + if self._distances == None: + return manhattanDistance(pos1, pos2) + if isInt(pos1) and isInt(pos2): + return self.getDistanceOnGrid(pos1, pos2) + pos1Grids = getGrids2D(pos1) + pos2Grids = getGrids2D(pos2) + bestDistance = self.default + for pos1Snap, snap1Distance in pos1Grids: + for pos2Snap, snap2Distance in pos2Grids: + gridDistance = self.getDistanceOnGrid(pos1Snap, pos2Snap) + distance = gridDistance + snap1Distance + snap2Distance + if bestDistance > distance: + bestDistance = distance + return bestDistance + + def getDistanceOnGrid(self, pos1, pos2): + key = (pos1, pos2) + if key in self._distances: + return self._distances[key] + else: + raise Exception("Positions not in grid: " + str(key)) + + def isReadyForMazeDistance(self): + return self._distances != None + +def manhattanDistance(x, y ): + return abs( x[0] - y[0] ) + abs( x[1] - y[1] ) + +def isInt(pos): + x, y = pos + return x == int(x) and y == int(y) + +def getGrids2D(pos): + grids = [] + for x, xDistance in getGrids1D(pos[0]): + for y, yDistance in getGrids1D(pos[1]): + grids.append(((x, y), xDistance + yDistance)) + return grids + +def getGrids1D(x): + intX = int(x) + if x == int(x): + return [(x, 0)] + return [(intX, x-intX), (intX+1, intX+1-x)] + +########################################## +# MACHINERY FOR COMPUTING MAZE DISTANCES # +########################################## + +distanceMap = {} +distanceMapSemaphore = threading.Semaphore(1) +distanceThread = None + +def waitOnDistanceCalculator(t): + global distanceThread + if distanceThread != None: + time.sleep(t) + +class DistanceCalculator(threading.Thread): + def setAttr(self, layout, distancer, default = 10000): + self.layout = layout + self.distancer = distancer + self.default = default + + def run(self): + global distanceMap, distanceThread + distanceMapSemaphore.acquire() + + if self.layout.walls not in distanceMap: + if distanceThread != None: raise Exception('Multiple distance threads') + distanceThread = self + + distances = computeDistances(self.layout) + print('[Distancer]: Switching to maze distances',file=sys.stdout) + + distanceMap[self.layout.walls] = distances + distanceThread = None + else: + distances = distanceMap[self.layout.walls] + + distanceMapSemaphore.release() + self.distancer._distances = distances + +def computeDistances(layout): + distances = {} + allNodes = layout.walls.asList(False) + for source in allNodes: + dist = {} + closed = {} + for node in allNodes: + dist[node] = 1000000000 + import util + queue = util.PriorityQueue() + queue.push(source, 0) + dist[source] = 0 + while not queue.isEmpty(): + node = queue.pop() + if node in closed: + continue + closed[node] = True + nodeDist = dist[node] + adjacent = [] + x, y = node + if not layout.isWall((x,y+1)): + adjacent.append((x,y+1)) + if not layout.isWall((x,y-1)): + adjacent.append((x,y-1) ) + if not layout.isWall((x+1,y)): + adjacent.append((x+1,y) ) + if not layout.isWall((x-1,y)): + adjacent.append((x-1,y)) + for other in adjacent: + if not other in dist: + continue + oldDist = dist[other] + newDist = nodeDist+1 + if newDist < oldDist: + dist[other] = newDist + queue.push(other, newDist) + for target in allNodes: + distances[(target, source)] = dist[target] + return distances + + +def getDistanceOnGrid(distances, pos1, pos2): + key = (pos1, pos2) + if key in distances: + return distances[key] + return 100000 + diff --git a/tracking/factorOperations.py b/tracking/factorOperations.py new file mode 100644 index 0000000..e96250b --- /dev/null +++ b/tracking/factorOperations.py @@ -0,0 +1,162 @@ +# factorOperations.py +# ------------------- +# Licensing Information: You are free to use or extend these projects for +# educational purposes provided that (1) you do not distribute or publish +# solutions, (2) you retain this notice, and (3) you provide clear +# attribution to UC Berkeley, including a link to http://ai.berkeley.edu. +# +# Attribution Information: The Pacman AI projects were developed at UC Berkeley. +# The core projects and autograders were primarily created by John DeNero +# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu). +# Student side autograding was added by Brad Miller, Nick Hay, and +# Pieter Abbeel (pabbeel@cs.berkeley.edu). + +from typing import List +from bayesNet import Factor +import functools +from util import raiseNotDefined + +def joinFactorsByVariableWithCallTracking(callTrackingList=None): + + + def joinFactorsByVariable(factors: List[Factor], joinVariable: str): + """ + Input factors is a list of factors. + Input joinVariable is the variable to join on. + + This function performs a check that the variable that is being joined on + appears as an unconditioned variable in only one of the input factors. + + Then, it calls your joinFactors on all of the factors in factors that + contain that variable. + + Returns a tuple of + (factors not joined, resulting factor from joinFactors) + """ + + if not (callTrackingList is None): + callTrackingList.append(('join', joinVariable)) + + currentFactorsToJoin = [factor for factor in factors if joinVariable in factor.variablesSet()] + currentFactorsNotToJoin = [factor for factor in factors if joinVariable not in factor.variablesSet()] + + # typecheck portion + numVariableOnLeft = len([factor for factor in currentFactorsToJoin if joinVariable in factor.unconditionedVariables()]) + if numVariableOnLeft > 1: + print("Factor failed joinFactorsByVariable typecheck: ", factor) + raise ValueError("The joinBy variable can only appear in one factor as an \nunconditioned variable. \n" + + "joinVariable: " + str(joinVariable) + "\n" + + ", ".join(map(str, [factor.unconditionedVariables() for factor in currentFactorsToJoin]))) + + joinedFactor = joinFactors(currentFactorsToJoin) + return currentFactorsNotToJoin, joinedFactor + + return joinFactorsByVariable + +joinFactorsByVariable = joinFactorsByVariableWithCallTracking() + +########### ########### ########### +########### QUESTION 2 ########### +########### ########### ########### + +def joinFactors(factors: List[Factor]): + """ + Input factors is a list of factors. + + You should calculate the set of unconditioned variables and conditioned + variables for the join of those factors. + + Return a new factor that has those variables and whose probability entries + are product of the corresponding rows of the input factors. + + You may assume that the variableDomainsDict for all the input + factors are the same, since they come from the same BayesNet. + + joinFactors will only allow unconditionedVariables to appear in + one input factor (so their join is well defined). + + Hint: Factor methods that take an assignmentDict as input + (such as getProbability and setProbability) can handle + assignmentDicts that assign more variables than are in that factor. + + Useful functions: + Factor.getAllPossibleAssignmentDicts + Factor.getProbability + Factor.setProbability + Factor.unconditionedVariables + Factor.conditionedVariables + Factor.variableDomainsDict + """ + + # typecheck portion + setsOfUnconditioned = [set(factor.unconditionedVariables()) for factor in factors] + if len(factors) > 1: + intersect = functools.reduce(lambda x, y: x & y, setsOfUnconditioned) + if len(intersect) > 0: + print("Factor failed joinFactors typecheck: ", factor) + raise ValueError("unconditionedVariables can only appear in one factor. \n" + + "unconditionedVariables: " + str(intersect) + + "\nappear in more than one input factor.\n" + + "Input factors: \n" + + "\n".join(map(str, factors))) + + + "*** YOUR CODE HERE ***" + raiseNotDefined() + "*** END YOUR CODE HERE ***" + +########### ########### ########### +########### QUESTION 3 ########### +########### ########### ########### + +def eliminateWithCallTracking(callTrackingList=None): + + def eliminate(factor: Factor, eliminationVariable: str): + """ + Input factor is a single factor. + Input eliminationVariable is the variable to eliminate from factor. + eliminationVariable must be an unconditioned variable in factor. + + You should calculate the set of unconditioned variables and conditioned + variables for the factor obtained by eliminating the variable + eliminationVariable. + + Return a new factor where all of the rows mentioning + eliminationVariable are summed with rows that match + assignments on the other variables. + + Useful functions: + Factor.getAllPossibleAssignmentDicts + Factor.getProbability + Factor.setProbability + Factor.unconditionedVariables + Factor.conditionedVariables + Factor.variableDomainsDict + """ + # autograder tracking -- don't remove + if not (callTrackingList is None): + callTrackingList.append(('eliminate', eliminationVariable)) + + # typecheck portion + if eliminationVariable not in factor.unconditionedVariables(): + print("Factor failed eliminate typecheck: ", factor) + raise ValueError("Elimination variable is not an unconditioned variable " \ + + "in this factor\n" + + "eliminationVariable: " + str(eliminationVariable) + \ + "\nunconditionedVariables:" + str(factor.unconditionedVariables())) + + if len(factor.unconditionedVariables()) == 1: + print("Factor failed eliminate typecheck: ", factor) + raise ValueError("Factor has only one unconditioned variable, so you " \ + + "can't eliminate \nthat variable.\n" + \ + "eliminationVariable:" + str(eliminationVariable) + "\n" +\ + "unconditionedVariables: " + str(factor.unconditionedVariables())) + + "*** YOUR CODE HERE ***" + raiseNotDefined() + "*** END YOUR CODE HERE ***" + + return eliminate + +eliminate = eliminateWithCallTracking() + diff --git a/tracking/game.py b/tracking/game.py new file mode 100644 index 0000000..c2897fc --- /dev/null +++ b/tracking/game.py @@ -0,0 +1,729 @@ +# game.py +# ------- +# Licensing Information: You are free to use or extend these projects for +# educational purposes provided that (1) you do not distribute or publish +# solutions, (2) you retain this notice, and (3) you provide clear +# attribution to UC Berkeley, including a link to http://ai.berkeley.edu. +# +# Attribution Information: The Pacman AI projects were developed at UC Berkeley. +# The core projects and autograders were primarily created by John DeNero +# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu). +# Student side autograding was added by Brad Miller, Nick Hay, and +# Pieter Abbeel (pabbeel@cs.berkeley.edu). + + +# game.py +# ------- +# Licensing Information: Please do not distribute or publish solutions to this +# project. You are free to use and extend these projects for educational +# purposes. The Pacman AI projects were developed at UC Berkeley, primarily by +# John DeNero (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu). +# For more info, see http://inst.eecs.berkeley.edu/~cs188/sp09/pacman.html + +from util import * +import time, os +import traceback +import sys + +####################### +# Parts worth reading # +####################### + +class Agent: + """ + An agent must define a getAction method, but may also define the + following methods which will be called if they exist: + + def registerInitialState(self, state): # inspects the starting state + """ + def __init__(self, index=0): + self.index = index + + def getAction(self, state): + """ + The Agent will receive a GameState (from either {pacman, capture, sonar}.py) and + must return an action from Directions.{North, South, East, West, Stop} + """ + raiseNotDefined() + +class Directions: + NORTH = 'North' + SOUTH = 'South' + EAST = 'East' + WEST = 'West' + STOP = 'Stop' + + LEFT = {NORTH: WEST, + SOUTH: EAST, + EAST: NORTH, + WEST: SOUTH, + STOP: STOP} + + RIGHT = dict([(y,x) for x, y in LEFT.items()]) + + REVERSE = {NORTH: SOUTH, + SOUTH: NORTH, + EAST: WEST, + WEST: EAST, + STOP: STOP} + +class Configuration: + """ + A Configuration holds the (x,y) coordinate of a character, along with its + traveling direction. + + The convention for positions, like a graph, is that (0,0) is the lower left corner, x increases + horizontally and y increases vertically. Therefore, north is the direction of increasing y, or (0,1). + """ + + def __init__(self, pos, direction): + self.pos = pos + self.direction = direction + + def getPosition(self): + return (self.pos) + + def getDirection(self): + return self.direction + + def isInteger(self): + x,y = self.pos + return x == int(x) and y == int(y) + + def __eq__(self, other): + if other == None: return False + return (self.pos == other.pos and self.direction == other.direction) + + def __hash__(self): + x = hash(self.pos) + y = hash(self.direction) + return hash(x + 13 * y) + + def __str__(self): + return "(x,y)="+str(self.pos)+", "+str(self.direction) + + def generateSuccessor(self, vector): + """ + Generates a new configuration reached by translating the current + configuration by the action vector. This is a low-level call and does + not attempt to respect the legality of the movement. + + Actions are movement vectors. + """ + x, y= self.pos + dx, dy = vector + direction = Actions.vectorToDirection(vector) + if direction == Directions.STOP: + direction = self.direction # There is no stop direction + return Configuration((x + dx, y+dy), direction) + +class AgentState: + """ + AgentStates hold the state of an agent (configuration, speed, scared, etc). + """ + + def __init__( self, startConfiguration, isPacman ): + self.start = startConfiguration + self.configuration = startConfiguration + self.isPacman = isPacman + self.scaredTimer = 0 + self.numCarrying = 0 + self.numReturned = 0 + + def __str__( self ): + if self.isPacman: + return "Pacman: " + str( self.configuration ) + else: + return "Ghost: " + str( self.configuration ) + + def __eq__( self, other ): + if other == None: + return False + return self.configuration == other.configuration and self.scaredTimer == other.scaredTimer + + def __hash__(self): + return hash(hash(self.configuration) + 13 * hash(self.scaredTimer)) + + def copy( self ): + state = AgentState( self.start, self.isPacman ) + state.configuration = self.configuration + state.scaredTimer = self.scaredTimer + state.numCarrying = self.numCarrying + state.numReturned = self.numReturned + return state + + def getPosition(self): + if self.configuration == None: return None + return self.configuration.getPosition() + + def getDirection(self): + return self.configuration.getDirection() + +class Grid: + """ + A 2-dimensional array of objects backed by a list of lists. Data is accessed + via grid[x][y] where (x,y) are positions on a Pacman map with x horizontal, + y vertical and the origin (0,0) in the bottom left corner. + + The __str__ method constructs an output that is oriented like a pacman board. + """ + def __init__(self, width, height, initialValue=False, bitRepresentation=None): + if initialValue not in [False, True]: raise Exception('Grids can only contain booleans') + self.CELLS_PER_INT = 30 + + self.width = width + self.height = height + self.data = [[initialValue for y in range(height)] for x in range(width)] + if bitRepresentation: + self._unpackBits(bitRepresentation) + + def __getitem__(self, i): + return self.data[i] + + def __setitem__(self, key, item): + self.data[key] = item + + def __str__(self): + out = [[str(self.data[x][y])[0] for x in range(self.width)] for y in range(self.height)] + out.reverse() + return '\n'.join([''.join(x) for x in out]) + + def __eq__(self, other): + if other == None: return False + return self.data == other.data + + def __hash__(self): + # return hash(str(self)) + base = 1 + h = 0 + for l in self.data: + for i in l: + if i: + h += base + base *= 2 + return hash(h) + + def copy(self): + g = Grid(self.width, self.height) + g.data = [x[:] for x in self.data] + return g + + def deepCopy(self): + return self.copy() + + def shallowCopy(self): + g = Grid(self.width, self.height) + g.data = self.data + return g + + def count(self, item =True ): + return sum([x.count(item) for x in self.data]) + + def asList(self, key = True): + list = [] + for x in range(self.width): + for y in range(self.height): + if self[x][y] == key: list.append( (x,y) ) + return list + + def packBits(self): + """ + Returns an efficient int list representation + + (width, height, bitPackedInts...) + """ + bits = [self.width, self.height] + currentInt = 0 + for i in range(self.height * self.width): + bit = self.CELLS_PER_INT - (i % self.CELLS_PER_INT) - 1 + x, y = self._cellIndexToPosition(i) + if self[x][y]: + currentInt += 2 ** bit + if (i + 1) % self.CELLS_PER_INT == 0: + bits.append(currentInt) + currentInt = 0 + bits.append(currentInt) + return tuple(bits) + + def _cellIndexToPosition(self, index): + x = index / self.height + y = index % self.height + return x, y + + def _unpackBits(self, bits): + """ + Fills in data from a bit-level representation + """ + cell = 0 + for packed in bits: + for bit in self._unpackInt(packed, self.CELLS_PER_INT): + if cell == self.width * self.height: break + x, y = self._cellIndexToPosition(cell) + self[x][y] = bit + cell += 1 + + def _unpackInt(self, packed, size): + bools = [] + if packed < 0: raise ValueError("must be a positive integer") + for i in range(size): + n = 2 ** (self.CELLS_PER_INT - i - 1) + if packed >= n: + bools.append(True) + packed -= n + else: + bools.append(False) + return bools + +def reconstituteGrid(bitRep): + if type(bitRep) is not type((1,2)): + return bitRep + width, height = bitRep[:2] + return Grid(width, height, bitRepresentation= bitRep[2:]) + +#################################### +# Parts you shouldn't have to read # +#################################### + +class Actions: + """ + A collection of static methods for manipulating move actions. + """ + # Directions + _directions = {Directions.NORTH: (0, 1), + Directions.SOUTH: (0, -1), + Directions.EAST: (1, 0), + Directions.WEST: (-1, 0), + Directions.STOP: (0, 0)} + + _directionsAsList = _directions.items() + + TOLERANCE = .001 + + def reverseDirection(action): + if action == Directions.NORTH: + return Directions.SOUTH + if action == Directions.SOUTH: + return Directions.NORTH + if action == Directions.EAST: + return Directions.WEST + if action == Directions.WEST: + return Directions.EAST + return action + reverseDirection = staticmethod(reverseDirection) + + def vectorToDirection(vector): + dx, dy = vector + if dy > 0: + return Directions.NORTH + if dy < 0: + return Directions.SOUTH + if dx < 0: + return Directions.WEST + if dx > 0: + return Directions.EAST + return Directions.STOP + vectorToDirection = staticmethod(vectorToDirection) + + def directionToVector(direction, speed = 1.0): + dx, dy = Actions._directions[direction] + return (dx * speed, dy * speed) + directionToVector = staticmethod(directionToVector) + + def getPossibleActions(config, walls): + possible = [] + x, y = config.pos + x_int, y_int = int(x + 0.5), int(y + 0.5) + + # In between grid points, all agents must continue straight + if (abs(x - x_int) + abs(y - y_int) > Actions.TOLERANCE): + return [config.getDirection()] + + for dir, vec in Actions._directionsAsList: + dx, dy = vec + next_y = y_int + dy + next_x = x_int + dx + if not walls[next_x][next_y]: possible.append(dir) + + return possible + + getPossibleActions = staticmethod(getPossibleActions) + + def getLegalNeighbors(position, walls): + x,y = position + x_int, y_int = int(x + 0.5), int(y + 0.5) + neighbors = [] + for dir, vec in Actions._directionsAsList: + dx, dy = vec + next_x = x_int + dx + if next_x < 0 or next_x == walls.width: continue + next_y = y_int + dy + if next_y < 0 or next_y == walls.height: continue + if not walls[next_x][next_y]: neighbors.append((next_x, next_y)) + return neighbors + getLegalNeighbors = staticmethod(getLegalNeighbors) + + def getSuccessor(position, action): + dx, dy = Actions.directionToVector(action) + x, y = position + return (x + dx, y + dy) + getSuccessor = staticmethod(getSuccessor) + +class GameStateData: + """ + + """ + def __init__( self, prevState = None ): + """ + Generates a new data packet by copying information from its predecessor. + """ + if prevState != None: + self.food = prevState.food.shallowCopy() + self.capsules = prevState.capsules[:] + self.agentStates = self.copyAgentStates( prevState.agentStates ) + self.layout = prevState.layout + self._eaten = prevState._eaten + self.score = prevState.score + + self._foodEaten = None + self._foodAdded = None + self._capsuleEaten = None + self._agentMoved = None + self._lose = False + self._win = False + self.scoreChange = 0 + + def deepCopy( self ): + state = GameStateData( self ) + state.food = self.food.deepCopy() + state.layout = self.layout.deepCopy() + state._agentMoved = self._agentMoved + state._foodEaten = self._foodEaten + state._foodAdded = self._foodAdded + state._capsuleEaten = self._capsuleEaten + return state + + def copyAgentStates( self, agentStates ): + copiedStates = [] + for agentState in agentStates: + copiedStates.append( agentState.copy() ) + return copiedStates + + def __eq__( self, other ): + """ + Allows two states to be compared. + """ + if other == None: return False + # TODO Check for type of other + if not self.agentStates == other.agentStates: return False + if not self.food == other.food: return False + if not self.capsules == other.capsules: return False + if not self.score == other.score: return False + return True + + def __hash__( self ): + """ + Allows states to be keys of dictionaries. + """ + for i, state in enumerate( self.agentStates ): + try: + int(hash(state)) + except TypeError as e: + print(e) + #hash(state) + return int((hash(tuple(self.agentStates)) + 13*hash(self.food) + 113* hash(tuple(self.capsules)) + 7 * hash(self.score)) % 1048575 ) + + def __str__( self ): + width, height = self.layout.width, self.layout.height + map = Grid(width, height) + if type(self.food) == type((1,2)): + self.food = reconstituteGrid(self.food) + for x in range(width): + for y in range(height): + food, walls = self.food, self.layout.walls + map[x][y] = self._foodWallStr(food[x][y], walls[x][y]) + + for agentState in self.agentStates: + if agentState == None: continue + if agentState.configuration == None: continue + x,y = [int( i ) for i in nearestPoint( agentState.configuration.pos )] + agent_dir = agentState.configuration.direction + if agentState.isPacman: + map[x][y] = self._pacStr( agent_dir ) + else: + map[x][y] = self._ghostStr( agent_dir ) + + for x, y in self.capsules: + map[x][y] = 'o' + + return str(map) + ("\nScore: %d\n" % self.score) + + def _foodWallStr( self, hasFood, hasWall ): + if hasFood: + return '.' + elif hasWall: + return '%' + else: + return ' ' + + def _pacStr( self, dir ): + if dir == Directions.NORTH: + return 'v' + if dir == Directions.SOUTH: + return '^' + if dir == Directions.WEST: + return '>' + return '<' + + def _ghostStr( self, dir ): + return 'G' + if dir == Directions.NORTH: + return 'M' + if dir == Directions.SOUTH: + return 'W' + if dir == Directions.WEST: + return '3' + return 'E' + + def initialize( self, layout, numGhostAgents ): + """ + Creates an initial game state from a layout array (see layout.py). + """ + self.food = layout.food.copy() + #self.capsules = [] + self.capsules = layout.capsules[:] + self.layout = layout + self.score = 0 + self.scoreChange = 0 + + self.agentStates = [] + numGhosts = 0 + for isPacman, pos in layout.agentPositions: + if not isPacman: + if numGhosts == numGhostAgents: continue # Max ghosts reached already + else: numGhosts += 1 + self.agentStates.append( AgentState( Configuration( pos, Directions.STOP), isPacman) ) + self._eaten = [False for a in self.agentStates] + +try: + import boinc + _BOINC_ENABLED = True +except: + _BOINC_ENABLED = False + +class Game: + """ + The Game manages the control flow, soliciting actions from agents. + """ + + def __init__( self, agents, display, rules, startingIndex=0, muteAgents=False, catchExceptions=False ): + self.agentCrashed = False + self.agents = agents + self.display = display + self.rules = rules + self.startingIndex = startingIndex + self.gameOver = False + self.muteAgents = muteAgents + self.catchExceptions = catchExceptions + self.moveHistory = [] + self.totalAgentTimes = [0 for agent in agents] + self.totalAgentTimeWarnings = [0 for agent in agents] + self.agentTimeout = False + import io + self.agentOutput = [io.StringIO() for agent in agents] + + def getProgress(self): + if self.gameOver: + return 1.0 + else: + return self.rules.getProgress(self) + + def _agentCrash( self, agentIndex, quiet=False): + "Helper method for handling agent crashes" + if not quiet: traceback.print_exc() + self.gameOver = True + self.agentCrashed = True + self.rules.agentCrash(self, agentIndex) + + OLD_STDOUT = None + OLD_STDERR = None + + def mute(self, agentIndex): + if not self.muteAgents: return + global OLD_STDOUT, OLD_STDERR + import io + OLD_STDOUT = sys.stdout + OLD_STDERR = sys.stderr + sys.stdout = self.agentOutput[agentIndex] + sys.stderr = self.agentOutput[agentIndex] + + def unmute(self): + if not self.muteAgents: return + global OLD_STDOUT, OLD_STDERR + # Revert stdout/stderr to originals + sys.stdout = OLD_STDOUT + sys.stderr = OLD_STDERR + + + def run( self ): + """ + Main control loop for game play. + """ + self.display.initialize(self.state.data) + self.numMoves = 0 + + ###self.display.initialize(self.state.makeObservation(1).data) + # inform learning agents of the game start + for i in range(len(self.agents)): + agent = self.agents[i] + if not agent: + self.mute(i) + # this is a null agent, meaning it failed to load + # the other team wins + print("Agent %d failed to load" % i,file=sys.stderr) + self.unmute() + self._agentCrash(i, quiet=True) + return + if ("registerInitialState" in dir(agent)): + self.mute(i) + if self.catchExceptions: + try: + timed_func = TimeoutFunction(agent.registerInitialState, int(self.rules.getMaxStartupTime(i))) + try: + start_time = time.time() + timed_func(self.state.deepCopy()) + time_taken = time.time() - start_time + self.totalAgentTimes[i] += time_taken + except TimeoutFunctionException: + print("Agent %d ran out of time on startup!" % i, file=sys.stderr) + self.unmute() + self.agentTimeout = True + self._agentCrash(i, quiet=True) + return + except Exception as data: + self._agentCrash(i, quiet=False) + self.unmute() + return + else: + agent.registerInitialState(self.state.deepCopy()) + ## TODO: could this exceed the total time + self.unmute() + + agentIndex = self.startingIndex + numAgents = len( self.agents ) + + while not self.gameOver: + # Fetch the next agent + agent = self.agents[agentIndex] + move_time = 0 + skip_action = False + # Generate an observation of the state + if 'observationFunction' in dir( agent ): + self.mute(agentIndex) + if self.catchExceptions: + try: + timed_func = TimeoutFunction(agent.observationFunction, int(self.rules.getMoveTimeout(agentIndex))) + try: + start_time = time.time() + observation = timed_func(self.state.deepCopy()) + except TimeoutFunctionException: + skip_action = True + move_time += time.time() - start_time + self.unmute() + except Exception as data: + self._agentCrash(agentIndex, quiet=False) + self.unmute() + return + else: + observation = agent.observationFunction(self.state.deepCopy()) + self.unmute() + else: + observation = self.state.deepCopy() + + # Solicit an action + action = None + self.mute(agentIndex) + if self.catchExceptions: + try: + timed_func = TimeoutFunction(agent.getAction, int(self.rules.getMoveTimeout(agentIndex)) - int(move_time)) + try: + start_time = time.time() + if skip_action: + raise TimeoutFunctionException() + action = timed_func( observation ) + except TimeoutFunctionException: + print("Agent %d timed out on a single move!" % agentIndex, file=sys.stderr) + self.agentTimeout = True + self._agentCrash(agentIndex, quiet=True) + self.unmute() + return + + move_time += time.time() - start_time + + if move_time > self.rules.getMoveWarningTime(agentIndex): + self.totalAgentTimeWarnings[agentIndex] += 1 + print("Agent %d took too long to make a move! This is warning %d" % (agentIndex, self.totalAgentTimeWarnings[agentIndex]), file=sys.stderr) + if self.totalAgentTimeWarnings[agentIndex] > self.rules.getMaxTimeWarnings(agentIndex): + print("Agent %d exceeded the maximum number of warnings: %d" % (agentIndex, self.totalAgentTimeWarnings[agentIndex]), file=sys.stderr) + self.agentTimeout = True + self._agentCrash(agentIndex, quiet=True) + self.unmute() + return + + self.totalAgentTimes[agentIndex] += move_time + #print "Agent: %d, time: %f, total: %f" % (agentIndex, move_time, self.totalAgentTimes[agentIndex]) + if self.totalAgentTimes[agentIndex] > self.rules.getMaxTotalTime(agentIndex): + print("Agent %d ran out of time! (time: %1.2f)" % (agentIndex, self.totalAgentTimes[agentIndex]), file=sys.stderr) + self.agentTimeout = True + self._agentCrash(agentIndex, quiet=True) + self.unmute() + return + self.unmute() + except Exception as data: + self._agentCrash(agentIndex) + self.unmute() + return + else: + action = agent.getAction(observation) + self.unmute() + + # Execute the action + self.moveHistory.append( (agentIndex, action) ) + if self.catchExceptions: + try: + self.state = self.state.getResult( agentIndex, action ) + except Exception as data: + self.mute(agentIndex) + self._agentCrash(agentIndex) + self.unmute() + return + else: + self.state = self.state.getResult( agentIndex, action ) + + # Change the display + self.display.update( self.state.data ) + ###idx = agentIndex - agentIndex % 2 + 1 + ###self.display.update( self.state.makeObservation(idx).data ) + + # Allow for game specific conditions (winning, losing, etc.) + self.rules.process(self.state, self) + # Track progress + if agentIndex == numAgents + 1: self.numMoves += 1 + # Next agent + agentIndex = ( agentIndex + 1 ) % numAgents + + if _BOINC_ENABLED: + boinc.set_fraction_done(self.getProgress()) + + # inform a learning agent of the game result + for agentIndex, agent in enumerate(self.agents): + if "final" in dir( agent ) : + try: + self.mute(agentIndex) + agent.final( self.state ) + self.unmute() + except Exception as data: + if not self.catchExceptions: raise + self._agentCrash(agentIndex) + self.unmute() + return + self.display.finish() diff --git a/tracking/ghostAgents.py b/tracking/ghostAgents.py new file mode 100644 index 0000000..1138c10 --- /dev/null +++ b/tracking/ghostAgents.py @@ -0,0 +1,81 @@ +# ghostAgents.py +# -------------- +# Licensing Information: You are free to use or extend these projects for +# educational purposes provided that (1) you do not distribute or publish +# solutions, (2) you retain this notice, and (3) you provide clear +# attribution to UC Berkeley, including a link to http://ai.berkeley.edu. +# +# Attribution Information: The Pacman AI projects were developed at UC Berkeley. +# The core projects and autograders were primarily created by John DeNero +# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu). +# Student side autograding was added by Brad Miller, Nick Hay, and +# Pieter Abbeel (pabbeel@cs.berkeley.edu). + + +from game import Agent +from game import Actions +from game import Directions +import random +from util import manhattanDistance +import util + +class GhostAgent( Agent ): + def __init__( self, index ): + self.index = index + + def getAction( self, state ): + dist = self.getDistribution(state) + if len(dist) == 0: + return Directions.STOP + else: + return util.chooseFromDistribution( dist ) + + def getDistribution(self, state): + "Returns a Counter encoding a distribution over actions from the provided state." + util.raiseNotDefined() + +class RandomGhost( GhostAgent ): + "A ghost that chooses a legal action uniformly at random." + def getDistribution( self, state ): + dist = util.Counter() + for a in state.getLegalActions( self.index ): dist[a] = 1.0 + dist.normalize() + return dist + +class DirectionalGhost( GhostAgent ): + "A ghost that prefers to rush Pacman, or flee when scared." + def __init__( self, index, prob_attack=0.8, prob_scaredFlee=0.8 ): + self.index = index + self.prob_attack = prob_attack + self.prob_scaredFlee = prob_scaredFlee + + def getDistribution( self, state ): + # Read variables from state + ghostState = state.getGhostState( self.index ) + legalActions = state.getLegalActions( self.index ) + pos = state.getGhostPosition( self.index ) + isScared = ghostState.scaredTimer > 0 + + speed = 1 + if isScared: speed = 0.5 + + actionVectors = [Actions.directionToVector( a, speed ) for a in legalActions] + newPositions = [( pos[0]+a[0], pos[1]+a[1] ) for a in actionVectors] + pacmanPosition = state.getPacmanPosition() + + # Select best actions given the state + distancesToPacman = [manhattanDistance( pos, pacmanPosition ) for pos in newPositions] + if isScared: + bestScore = max( distancesToPacman ) + bestProb = self.prob_scaredFlee + else: + bestScore = min( distancesToPacman ) + bestProb = self.prob_attack + bestActions = [action for action, distance in zip( legalActions, distancesToPacman ) if distance == bestScore] + + # Construct distribution + dist = util.Counter() + for a in bestActions: dist[a] = bestProb / len(bestActions) + for a in legalActions: dist[a] += ( 1-bestProb ) / len(legalActions) + dist.normalize() + return dist diff --git a/tracking/grading.py b/tracking/grading.py new file mode 100644 index 0000000..8918798 --- /dev/null +++ b/tracking/grading.py @@ -0,0 +1,323 @@ +# grading.py +# ---------- +# Licensing Information: You are free to use or extend these projects for +# educational purposes provided that (1) you do not distribute or publish +# solutions, (2) you retain this notice, and (3) you provide clear +# attribution to UC Berkeley, including a link to http://ai.berkeley.edu. +# +# Attribution Information: The Pacman AI projects were developed at UC Berkeley. +# The core projects and autograders were primarily created by John DeNero +# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu). +# Student side autograding was added by Brad Miller, Nick Hay, and +# Pieter Abbeel (pabbeel@cs.berkeley.edu). + + +"Common code for autograders" + +import html +import time +import sys +import json +import traceback +import pdb +from collections import defaultdict +import util + +class Grades: + "A data structure for project grades, along with formatting code to display them" + def __init__(self, projectName, questionsAndMaxesList, + gsOutput=False, edxOutput=False, muteOutput=False): + """ + Defines the grading scheme for a project + projectName: project name + questionsAndMaxesDict: a list of (question name, max points per question) + """ + self.questions = [el[0] for el in questionsAndMaxesList] + self.maxes = dict(questionsAndMaxesList) + self.points = Counter() + self.messages = dict([(q, []) for q in self.questions]) + self.project = projectName + self.start = time.localtime()[1:6] + self.sane = True # Sanity checks + self.currentQuestion = None # Which question we're grading + self.edxOutput = edxOutput + self.gsOutput = gsOutput # GradeScope output + self.mute = muteOutput + self.prereqs = defaultdict(set) + + #print 'Autograder transcript for %s' % self.project + print('Starting on %d-%d at %d:%02d:%02d' % self.start) + + def addPrereq(self, question, prereq): + self.prereqs[question].add(prereq) + + def grade(self, gradingModule, exceptionMap = {}, bonusPic = False): + """ + Grades each question + gradingModule: the module with all the grading functions (pass in with sys.modules[__name__]) + """ + + completedQuestions = set([]) + for q in self.questions: + print('\nQuestion %s' % q) + print('=' * (9 + len(q))) + print + self.currentQuestion = q + + incompleted = self.prereqs[q].difference(completedQuestions) + if len(incompleted) > 0: + prereq = incompleted.pop() + print(\ +"""*** NOTE: Make sure to complete Question %s before working on Question %s, +*** because Question %s builds upon your answer for Question %s. +""" % (prereq, q, q, prereq)) + continue + + if self.mute: util.mutePrint() + try: + util.TimeoutFunction(getattr(gradingModule, q),1800)(self) # Call the question's function + #TimeoutFunction(getattr(gradingModule, q),1200)(self) # Call the question's function + except Exception as inst: + self.addExceptionMessage(q, inst, traceback) + self.addErrorHints(exceptionMap, inst, q[1]) + except: + self.fail('FAIL: Terminated with a string exception.') + finally: + if self.mute: util.unmutePrint() + + if self.points[q] >= self.maxes[q]: + completedQuestions.add(q) + + print('\n### Question %s: %d/%d ###\n' % (q, self.points[q], self.maxes[q])) + + + print('\nFinished at %d:%02d:%02d' % time.localtime()[3:6]) + print("\nProvisional grades\n==================") + + for q in self.questions: + print('Question %s: %d/%d' % (q, self.points[q], self.maxes[q])) + print('------------------') + print('Total: %d/%d' % (self.points.totalCount(), sum(self.maxes.values()))) + if bonusPic and self.points.totalCount() == 25: + print(""" + + ALL HAIL GRANDPAC. + LONG LIVE THE GHOSTBUSTING KING. + + --- ---- --- + | \ / + \ / | + | + \--/ \--/ + | + | + + | + | + + + | + @@@@@@@@@@@@@@@@@@@@@@@@@@ + @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ + @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ + @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ + \ @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ + \ / @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ + V \ @@@@@@@@@@@@@@@@@@@@@@@@@@@@ + \ / @@@@@@@@@@@@@@@@@@@@@@@@@@ + V @@@@@@@@@@@@@@@@@@@@@@@@ + @@@@@@@@@@@@@@@@@@@@@@ + /\ @@@@@@@@@@@@@@@@@@@@@@ + / \ @@@@@@@@@@@@@@@@@@@@@@@@@ + /\ / @@@@@@@@@@@@@@@@@@@@@@@@@@@ + / \ @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ + / @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ + @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ + @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ + @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ + @@@@@@@@@@@@@@@@@@@@@@@@@@ + @@@@@@@@@@@@@@@@@@ + +""") + print(""" +Your grades are NOT yet registered. To register your grades, make sure +to follow your instructor's guidelines to receive credit on your project. +""") + + if self.edxOutput: + self.produceOutput() + if self.gsOutput: + self.produceGradeScopeOutput() + + def addExceptionMessage(self, q, inst, traceback): + """ + Method to format the exception message, this is more complicated because + we need to html.escape the traceback but wrap the exception in a 
 tag
+    """
+    self.fail('FAIL: Exception raised: %s' % inst)
+    self.addMessage('')
+    for line in traceback.format_exc().split('\n'):
+        self.addMessage(line)
+
+  def addErrorHints(self, exceptionMap, errorInstance, questionNum):
+    typeOf = str(type(errorInstance))
+    questionName = 'q' + questionNum
+    errorHint = ''
+
+    # question specific error hints
+    if exceptionMap.get(questionName):
+      questionMap = exceptionMap.get(questionName)
+      if (questionMap.get(typeOf)):
+        errorHint = questionMap.get(typeOf)
+    # fall back to general error messages if a question specific
+    # one does not exist
+    if (exceptionMap.get(typeOf)):
+      errorHint = exceptionMap.get(typeOf)
+
+    # dont include the HTML if we have no error hint
+    if not errorHint:
+      return ''
+
+    for line in errorHint.split('\n'):
+      self.addMessage(line)
+
+  def produceGradeScopeOutput(self):
+    out_dct = {}
+
+    # total of entire submission
+    total_possible = sum(self.maxes.values())
+    total_score = sum(self.points.values())
+    out_dct['score'] = total_score
+    out_dct['max_score'] = total_possible
+    out_dct['output'] = "Total score (%d / %d)" % (total_score, total_possible)
+
+    # individual tests
+    tests_out = []
+    for name in self.questions:
+      test_out = {}
+      # test name
+      test_out['name'] = name
+      # test score
+      test_out['score'] = self.points[name]
+      test_out['max_score'] = self.maxes[name]
+      # others
+      is_correct = self.points[name] >= self.maxes[name]
+      test_out['output'] = "  Question {num} ({points}/{max}) {correct}".format(
+          num=(name[1] if len(name) == 2 else name),
+          points=test_out['score'],
+          max=test_out['max_score'],
+          correct=('X' if not is_correct else ''),
+      )
+      test_out['tags'] = []
+      tests_out.append(test_out)
+    out_dct['tests'] = tests_out
+
+    # file output
+    with open('gradescope_response.json', 'w') as outfile:
+        json.dump(out_dct, outfile)
+    return
+
+  def produceOutput(self):
+    edxOutput = open('edx_response.html', 'w')
+    edxOutput.write("
")
+
+    # first sum
+    total_possible = sum(self.maxes.values())
+    total_score = sum(self.points.values())
+    checkOrX = ''
+    if (total_score >= total_possible):
+        checkOrX = ''
+    header = """
+        

+            Total score ({total_score} / {total_possible})
+        

+    """.format(total_score = total_score,
+      total_possible = total_possible,
+      checkOrX = checkOrX
+    )
+    edxOutput.write(header)
+
+    for q in self.questions:
+      if len(q) == 2:
+          name = q[1]
+      else:
+          name = q
+      checkOrX = ''
+      if (self.points[q] >= self.maxes[q]):
+        checkOrX = ''
+      #messages = '\n
\n'.join(self.messages[q])
+      messages = "
%s
" % '\n'.join(self.messages[q])
+      output = """
+        

+          

+          

+            Question {q} ({points}/{max}) {checkOrX}
+          

+        

+          {messages}
+        

+        

+      

+      """.format(q = name,
+        max = self.maxes[q],
+        messages = messages,
+        checkOrX = checkOrX,
+        points = self.points[q]
+      )
+      # print "*** output for Question %s " % q[1]
+      # print output
+      edxOutput.write(output)
+    edxOutput.write("
")
+    edxOutput.close()
+    edxOutput = open('edx_grade', 'w')
+    edxOutput.write(str(self.points.totalCount()))
+    edxOutput.close()
+
+  def fail(self, message, raw=False):
+    "Sets sanity check bit to false and outputs a message"
+    self.sane = False
+    self.assignZeroCredit()
+    self.addMessage(message, raw)
+
+  def assignZeroCredit(self):
+    self.points[self.currentQuestion] = 0
+
+  def addPoints(self, amt):
+    self.points[self.currentQuestion] += amt
+
+  def deductPoints(self, amt):
+    self.points[self.currentQuestion] -= amt
+
+  def assignFullCredit(self, message="", raw=False):
+    self.points[self.currentQuestion] = self.maxes[self.currentQuestion]
+    if message != "":
+      self.addMessage(message, raw)
+
+  def addMessage(self, message, raw=False):
+    if not raw:
+        # We assume raw messages, formatted for HTML, are printed separately
+        if self.mute: util.unmutePrint()
+        print('*** ' + message)
+        if self.mute: util.mutePrint()
+        message = html.escape(message)
+    self.messages[self.currentQuestion].append(message)
+
+  def addMessageToEmail(self, message):
+    print("WARNING**** addMessageToEmail is deprecated %s" % message)
+    for line in message.split('\n'):
+      pass
+      #print '%%% ' + line + ' %%%'
+      #self.messages[self.currentQuestion].append(line)
+
+
+
+
+
+class Counter(dict):
+  """
+  Dict with default 0
+  """
+  def __getitem__(self, idx):
+    try:
+      return dict.__getitem__(self, idx)
+    except KeyError:
+      return 0
+
+  def totalCount(self):
+    """
+    Returns the sum of counts for all keys.
+    """
+    return sum(self.values())
+
diff --git a/tracking/graphicsDisplay.py b/tracking/graphicsDisplay.py
new file mode 100644
index 0000000..4c4f006
--- /dev/null
+++ b/tracking/graphicsDisplay.py
@@ -0,0 +1,679 @@
+# graphicsDisplay.py
+# ------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from graphicsUtils import *
+import math, time
+from game import Directions
+
+###########################
+#  GRAPHICS DISPLAY CODE  #
+###########################
+
+# Most code by Dan Klein and John Denero written or rewritten for cs188, UC Berkeley.
+# Some code from a Pacman implementation by LiveWires, and used / modified with permission.
+
+DEFAULT_GRID_SIZE = 30.0
+INFO_PANE_HEIGHT = 35
+BACKGROUND_COLOR = formatColor(0,0,0)
+WALL_COLOR = formatColor(0.0/255.0, 51.0/255.0, 255.0/255.0)
+INFO_PANE_COLOR = formatColor(.4,.4,0)
+SCORE_COLOR = formatColor(.9, .9, .9)
+PACMAN_OUTLINE_WIDTH = 2
+PACMAN_CAPTURE_OUTLINE_WIDTH = 4
+
+GHOST_COLORS = []
+GHOST_COLORS.append(formatColor(.9,0,0)) # Red
+GHOST_COLORS.append(formatColor(0,.3,.9)) # Blue
+GHOST_COLORS.append(formatColor(.98,.41,.07)) # Orange
+GHOST_COLORS.append(formatColor(.1,.75,.7)) # Green
+GHOST_COLORS.append(formatColor(1.0,0.6,0.0)) # Yellow
+GHOST_COLORS.append(formatColor(.4,0.13,0.91)) # Purple
+
+TEAM_COLORS = GHOST_COLORS[:2]
+
+GHOST_SHAPE = [
+    ( 0,    0.3 ),
+    ( 0.25, 0.75 ),
+    ( 0.5,  0.3 ),
+    ( 0.75, 0.75 ),
+    ( 0.75, -0.5 ),
+    ( 0.5,  -0.75 ),
+    (-0.5,  -0.75 ),
+    (-0.75, -0.5 ),
+    (-0.75, 0.75 ),
+    (-0.5,  0.3 ),
+    (-0.25, 0.75 )
+  ]
+GHOST_SIZE = 0.65
+SCARED_COLOR = formatColor(1,1,1)
+
+GHOST_VEC_COLORS = list(map(colorToVector, GHOST_COLORS))
+
+PACMAN_COLOR = formatColor(255.0/255.0,255.0/255.0,61.0/255)
+PACMAN_SCALE = 0.5
+#pacman_speed = 0.25
+
+# Food
+FOOD_COLOR = formatColor(1,1,1)
+FOOD_SIZE = 0.1
+
+# Laser
+LASER_COLOR = formatColor(1,0,0)
+LASER_SIZE = 0.02
+
+# Capsule graphics
+CAPSULE_COLOR = formatColor(1,1,1)
+CAPSULE_SIZE = 0.25
+
+# Drawing walls
+WALL_RADIUS = 0.15
+
+class InfoPane:
+    def __init__(self, layout, gridSize):
+        self.gridSize = gridSize
+        self.width = (layout.width) * gridSize
+        self.base = (layout.height + 1) * gridSize
+        self.height = INFO_PANE_HEIGHT
+        self.fontSize = 24
+        self.textColor = PACMAN_COLOR
+        self.drawPane()
+
+    def toScreen(self, pos, y = None):
+        """
+          Translates a point relative from the bottom left of the info pane.
+        """
+        if y == None:
+            x,y = pos
+        else:
+            x = pos
+
+        x = self.gridSize + x # Margin
+        y = self.base + y
+        return x,y
+
+    def drawPane(self):
+        self.scoreText = text( self.toScreen(0, 0  ), self.textColor, "SCORE:    0", "Times", self.fontSize, "bold")
+
+    def initializeGhostDistances(self, distances):
+        self.ghostDistanceText = []
+
+        size = 20
+        if self.width < 240:
+            size = 12
+        if self.width < 160:
+            size = 10
+
+        for i, d in enumerate(distances):
+            t = text( self.toScreen(self.width//2 + self.width//8 * i, 0), GHOST_COLORS[i+1], d, "Times", size, "bold")
+            self.ghostDistanceText.append(t)
+
+    def updateScore(self, score):
+        changeText(self.scoreText, "SCORE: % 4d" % score)
+
+    def setTeam(self, isBlue):
+        text = "RED TEAM"
+        if isBlue: text = "BLUE TEAM"
+        self.teamText = text( self.toScreen(300, 0  ), self.textColor, text, "Times", self.fontSize, "bold")
+
+    def updateGhostDistances(self, distances):
+        if len(distances) == 0: return
+        if 'ghostDistanceText' not in dir(self): self.initializeGhostDistances(distances)
+        else:
+            for i, d in enumerate(distances):
+                changeText(self.ghostDistanceText[i], d)
+
+    def drawGhost(self):
+        pass
+
+    def drawPacman(self):
+        pass
+
+    def drawWarning(self):
+        pass
+
+    def clearIcon(self):
+        pass
+
+    def updateMessage(self, message):
+        pass
+
+    def clearMessage(self):
+        pass
+
+
+class PacmanGraphics:
+    def __init__(self, zoom=1.0, frameTime=0.0, capture=False):
+        self.have_window = 0
+        self.currentGhostImages = {}
+        self.pacmanImage = None
+        self.zoom = zoom
+        self.gridSize = DEFAULT_GRID_SIZE * zoom
+        self.capture = capture
+        self.frameTime = frameTime
+
+    def checkNullDisplay(self):
+        return False
+
+    def initialize(self, state, isBlue = False):
+        self.isBlue = isBlue
+        self.startGraphics(state)
+
+        # self.drawDistributions(state)
+        self.distributionImages = None  # Initialized lazily
+        self.drawStaticObjects(state)
+        self.drawAgentObjects(state)
+
+        # Information
+        self.previousState = state
+
+    def startGraphics(self, state):
+        self.layout = state.layout
+        layout = self.layout
+        self.width = layout.width
+        self.height = layout.height
+        self.make_window(self.width, self.height)
+        self.infoPane = InfoPane(layout, self.gridSize)
+        self.currentState = layout
+
+    def drawDistributions(self, state):
+        walls = state.layout.walls
+        dist = []
+        for x in range(walls.width):
+            distx = []
+            dist.append(distx)
+            for y in range(walls.height):
+                ( screen_x, screen_y ) = self.to_screen( (x, y) )
+                block = square( (screen_x, screen_y),
+                                0.5 * self.gridSize,
+                                color = BACKGROUND_COLOR,
+                                filled = 1, behind=2)
+                distx.append(block)
+        self.distributionImages = dist
+
+    def drawStaticObjects(self, state):
+        layout = self.layout
+        self.drawWalls(layout.walls)
+        self.food = self.drawFood(layout.food)
+        self.capsules = self.drawCapsules(layout.capsules)
+        refresh()
+
+    def drawAgentObjects(self, state):
+        self.agentImages = [] # (agentState, image)
+        for index, agent in enumerate(state.agentStates):
+            if agent.isPacman:
+                image = self.drawPacman(agent, index)
+                self.agentImages.append( (agent, image) )
+            else:
+                image = self.drawGhost(agent, index)
+                self.agentImages.append( (agent, image) )
+        refresh()
+
+    def swapImages(self, agentIndex, newState):
+        """
+          Changes an image from a ghost to a pacman or vis versa (for capture)
+        """
+        prevState, prevImage = self.agentImages[agentIndex]
+        for item in prevImage: remove_from_screen(item)
+        if newState.isPacman:
+            image = self.drawPacman(newState, agentIndex)
+            self.agentImages[agentIndex] = (newState, image )
+        else:
+            image = self.drawGhost(newState, agentIndex)
+            self.agentImages[agentIndex] = (newState, image )
+        refresh()
+
+    def update(self, newState):
+        agentIndex = newState._agentMoved
+        agentState = newState.agentStates[agentIndex]
+
+        if self.agentImages[agentIndex][0].isPacman != agentState.isPacman: self.swapImages(agentIndex, agentState)
+        prevState, prevImage = self.agentImages[agentIndex]
+        if agentState.isPacman:
+            self.animatePacman(agentState, prevState, prevImage)
+        else:
+            self.moveGhost(agentState, agentIndex, prevState, prevImage)
+        self.agentImages[agentIndex] = (agentState, prevImage)
+
+        if newState._foodEaten != None:
+            self.removeFood(newState._foodEaten, self.food)
+        if newState._capsuleEaten != None:
+            self.removeCapsule(newState._capsuleEaten, self.capsules)
+        self.infoPane.updateScore(newState.score)
+        if 'ghostDistances' in dir(newState):
+            self.infoPane.updateGhostDistances(newState.ghostDistances)
+
+    def make_window(self, width, height):
+        grid_width = (width-1) * self.gridSize
+        grid_height = (height-1) * self.gridSize
+        screen_width = 2*self.gridSize + grid_width
+        screen_height = 2*self.gridSize + grid_height + INFO_PANE_HEIGHT
+
+        begin_graphics(screen_width,
+                       screen_height,
+                       BACKGROUND_COLOR,
+                       "CS188 Pacman")
+
+    def drawPacman(self, pacman, index):
+        position = self.getPosition(pacman)
+        screen_point = self.to_screen(position)
+        endpoints = self.getEndpoints(self.getDirection(pacman))
+
+        width = PACMAN_OUTLINE_WIDTH
+        outlineColor = PACMAN_COLOR
+        fillColor = PACMAN_COLOR
+
+        if self.capture:
+            outlineColor = TEAM_COLORS[index % 2]
+            fillColor = GHOST_COLORS[index]
+            width = PACMAN_CAPTURE_OUTLINE_WIDTH
+
+        return [circle(screen_point, PACMAN_SCALE * self.gridSize,
+                       fillColor = fillColor, outlineColor = outlineColor,
+                       endpoints = endpoints,
+                       width = width)]
+
+    def getEndpoints(self, direction, position=(0,0)):
+        x, y = position
+        pos = x - int(x) + y - int(y)
+        width = 30 + 80 * math.sin(math.pi* pos)
+
+        delta = width / 2
+        if (direction == 'West'):
+            endpoints = (180+delta, 180-delta)
+        elif (direction == 'North'):
+            endpoints = (90+delta, 90-delta)
+        elif (direction == 'South'):
+            endpoints = (270+delta, 270-delta)
+        else:
+            endpoints = (0+delta, 0-delta)
+        return endpoints
+
+    def movePacman(self, position, direction, image):
+        screenPosition = self.to_screen(position)
+        endpoints = self.getEndpoints( direction, position )
+        r = PACMAN_SCALE * self.gridSize
+        moveCircle(image[0], screenPosition, r, endpoints)
+        refresh()
+
+    def animatePacman(self, pacman, prevPacman, image):
+        if self.frameTime < 0:
+            print('Press any key to step forward, "q" to play')
+            keys = wait_for_keys()
+            if 'q' in keys:
+                self.frameTime = 0.1
+        if self.frameTime > 0.01 or self.frameTime < 0:
+            start = time.time()
+            fx, fy = self.getPosition(prevPacman)
+            px, py = self.getPosition(pacman)
+            frames = 4.0
+            for i in range(1,int(frames) + 1):
+                pos = px*i/frames + fx*(frames-i)/frames, py*i/frames + fy*(frames-i)/frames
+                self.movePacman(pos, self.getDirection(pacman), image)
+                refresh()
+                sleep(abs(self.frameTime) / frames)
+        else:
+            self.movePacman(self.getPosition(pacman), self.getDirection(pacman), image)
+        refresh()
+
+    def getGhostColor(self, ghost, ghostIndex):
+        if ghost.scaredTimer > 0:
+            return SCARED_COLOR
+        else:
+            return GHOST_COLORS[ghostIndex]
+
+    def drawGhost(self, ghost, agentIndex):
+        pos = self.getPosition(ghost)
+        dir = self.getDirection(ghost)
+        (screen_x, screen_y) = (self.to_screen(pos) )
+        coords = []
+        for (x, y) in GHOST_SHAPE:
+            coords.append((x*self.gridSize*GHOST_SIZE + screen_x, y*self.gridSize*GHOST_SIZE + screen_y))
+
+        colour = self.getGhostColor(ghost, agentIndex)
+        body = polygon(coords, colour, filled = 1)
+        WHITE = formatColor(1.0, 1.0, 1.0)
+        BLACK = formatColor(0.0, 0.0, 0.0)
+
+        dx = 0
+        dy = 0
+        if dir == 'North':
+            dy = -0.2
+        if dir == 'South':
+            dy = 0.2
+        if dir == 'East':
+            dx = 0.2
+        if dir == 'West':
+            dx = -0.2
+        leftEye = circle((screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2, WHITE, WHITE)
+        rightEye = circle((screen_x+self.gridSize*GHOST_SIZE*(0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2, WHITE, WHITE)
+        leftPupil = circle((screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08, BLACK, BLACK)
+        rightPupil = circle((screen_x+self.gridSize*GHOST_SIZE*(0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08, BLACK, BLACK)
+        ghostImageParts = []
+        ghostImageParts.append(body)
+        ghostImageParts.append(leftEye)
+        ghostImageParts.append(rightEye)
+        ghostImageParts.append(leftPupil)
+        ghostImageParts.append(rightPupil)
+
+        return ghostImageParts
+
+    def moveEyes(self, pos, dir, eyes):
+        (screen_x, screen_y) = (self.to_screen(pos) )
+        dx = 0
+        dy = 0
+        if dir == 'North':
+            dy = -0.2
+        if dir == 'South':
+            dy = 0.2
+        if dir == 'East':
+            dx = 0.2
+        if dir == 'West':
+            dx = -0.2
+        moveCircle(eyes[0],(screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2)
+        moveCircle(eyes[1],(screen_x+self.gridSize*GHOST_SIZE*(0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2)
+        moveCircle(eyes[2],(screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08)
+        moveCircle(eyes[3],(screen_x+self.gridSize*GHOST_SIZE*(0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08)
+
+    def moveGhost(self, ghost, ghostIndex, prevGhost, ghostImageParts):
+        old_x, old_y = self.to_screen(self.getPosition(prevGhost))
+        new_x, new_y = self.to_screen(self.getPosition(ghost))
+        delta = new_x - old_x, new_y - old_y
+
+        for ghostImagePart in ghostImageParts:
+            move_by(ghostImagePart, delta)
+        refresh()
+
+        if ghost.scaredTimer > 0:
+            color = SCARED_COLOR
+        else:
+            color = GHOST_COLORS[ghostIndex]
+        edit(ghostImageParts[0], ('fill', color), ('outline', color))
+        self.moveEyes(self.getPosition(ghost), self.getDirection(ghost), ghostImageParts[-4:])
+        refresh()
+
+    def getPosition(self, agentState):
+        if agentState.configuration == None: return (-1000, -1000)
+        return agentState.getPosition()
+
+    def getDirection(self, agentState):
+        if agentState.configuration == None: return Directions.STOP
+        return agentState.configuration.getDirection()
+
+    def finish(self):
+        end_graphics()
+
+    def to_screen(self, point):
+        ( x, y ) = point
+        #y = self.height - y
+        x = (x + 1)*self.gridSize
+        y = (self.height  - y)*self.gridSize
+        return ( x, y )
+
+    # Fixes some TK issue with off-center circles
+    def to_screen2(self, point):
+        ( x, y ) = point
+        #y = self.height - y
+        x = (x + 1)*self.gridSize
+        y = (self.height  - y)*self.gridSize
+        return ( x, y )
+
+    def drawWalls(self, wallMatrix):
+        wallColor = WALL_COLOR
+        for xNum, x in enumerate(wallMatrix):
+            if self.capture and (xNum * 2) < wallMatrix.width: wallColor = TEAM_COLORS[0]
+            if self.capture and (xNum * 2) >= wallMatrix.width: wallColor = TEAM_COLORS[1]
+
+            for yNum, cell in enumerate(x):
+                if cell: # There's a wall here
+                    pos = (xNum, yNum)
+                    screen = self.to_screen(pos)
+                    screen2 = self.to_screen2(pos)
+
+                    # draw each quadrant of the square based on adjacent walls
+                    wIsWall = self.isWall(xNum-1, yNum, wallMatrix)
+                    eIsWall = self.isWall(xNum+1, yNum, wallMatrix)
+                    nIsWall = self.isWall(xNum, yNum+1, wallMatrix)
+                    sIsWall = self.isWall(xNum, yNum-1, wallMatrix)
+                    nwIsWall = self.isWall(xNum-1, yNum+1, wallMatrix)
+                    swIsWall = self.isWall(xNum-1, yNum-1, wallMatrix)
+                    neIsWall = self.isWall(xNum+1, yNum+1, wallMatrix)
+                    seIsWall = self.isWall(xNum+1, yNum-1, wallMatrix)
+
+                    # NE quadrant
+                    if (not nIsWall) and (not eIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (0,91), 'arc')
+                    if (nIsWall) and (not eIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*WALL_RADIUS, 0)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-0.5)-1)), wallColor)
+                    if (not nIsWall) and (eIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                    if (nIsWall) and (eIsWall) and (not neIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*2*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (180,271), 'arc')
+                        line(add(screen, (self.gridSize*2*WALL_RADIUS-1, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS+1)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-0.5))), wallColor)
+
+                    # NW quadrant
+                    if (not nIsWall) and (not wIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (90,181), 'arc')
+                    if (nIsWall) and (not wIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, 0)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-0.5)-1)), wallColor)
+                    if (not nIsWall) and (wIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5)-1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                    if (nIsWall) and (wIsWall) and (not nwIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*(-2)*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (270,361), 'arc')
+                        line(add(screen, (self.gridSize*(-2)*WALL_RADIUS+1, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5), self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS+1)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-0.5))), wallColor)
+
+                    # SE quadrant
+                    if (not sIsWall) and (not eIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (270,361), 'arc')
+                    if (sIsWall) and (not eIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*WALL_RADIUS, 0)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(0.5)+1)), wallColor)
+                    if (not sIsWall) and (eIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                    if (sIsWall) and (eIsWall) and (not seIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*2*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (90,181), 'arc')
+                        line(add(screen, (self.gridSize*2*WALL_RADIUS-1, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS-1)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(0.5))), wallColor)
+
+                    # SW quadrant
+                    if (not sIsWall) and (not wIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (180,271), 'arc')
+                    if (sIsWall) and (not wIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, 0)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(0.5)+1)), wallColor)
+                    if (not sIsWall) and (wIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5)-1, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                    if (sIsWall) and (wIsWall) and (not swIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*(-2)*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (0,91), 'arc')
+                        line(add(screen, (self.gridSize*(-2)*WALL_RADIUS+1, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5), self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS-1)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(0.5))), wallColor)
+
+    def isWall(self, x, y, walls):
+        if x < 0 or y < 0:
+            return False
+        if x >= walls.width or y >= walls.height:
+            return False
+        return walls[x][y]
+
+    def drawFood(self, foodMatrix ):
+        foodImages = []
+        color = FOOD_COLOR
+        for xNum, x in enumerate(foodMatrix):
+            if self.capture and (xNum * 2) <= foodMatrix.width: color = TEAM_COLORS[0]
+            if self.capture and (xNum * 2) > foodMatrix.width: color = TEAM_COLORS[1]
+            imageRow = []
+            foodImages.append(imageRow)
+            for yNum, cell in enumerate(x):
+                if cell: # There's food here
+                    screen = self.to_screen((xNum, yNum ))
+                    dot = circle( screen,
+                                  FOOD_SIZE * self.gridSize,
+                                  outlineColor = color, fillColor = color,
+                                  width = 1)
+                    imageRow.append(dot)
+                else:
+                    imageRow.append(None)
+        return foodImages
+
+    def drawCapsules(self, capsules ):
+        capsuleImages = {}
+        for capsule in capsules:
+            ( screen_x, screen_y ) = self.to_screen(capsule)
+            dot = circle( (screen_x, screen_y),
+                              CAPSULE_SIZE * self.gridSize,
+                              outlineColor = CAPSULE_COLOR,
+                              fillColor = CAPSULE_COLOR,
+                              width = 1)
+            capsuleImages[capsule] = dot
+        return capsuleImages
+
+    def removeFood(self, cell, foodImages ):
+        x, y = cell
+        remove_from_screen(foodImages[x][y])
+
+    def removeCapsule(self, cell, capsuleImages ):
+        x, y = cell
+        remove_from_screen(capsuleImages[(x, y)])
+
+    def drawExpandedCells(self, cells):
+        """
+        Draws an overlay of expanded grid positions for search agents
+        """
+        n = float(len(cells))
+        baseColor = [1.0, 0.0, 0.0]
+        self.clearExpandedCells()
+        self.expandedCells = []
+        for k, cell in enumerate(cells):
+            screenPos = self.to_screen( cell)
+            cellColor = formatColor(*[(n-k) * c * .5 / n + .25 for c in baseColor])
+            block = square(screenPos,
+                     0.5 * self.gridSize,
+                     color = cellColor,
+                     filled = 1, behind=2)
+            self.expandedCells.append(block)
+            if self.frameTime < 0:
+                refresh()
+
+    def clearExpandedCells(self):
+        if 'expandedCells' in dir(self) and len(self.expandedCells) > 0:
+            for cell in self.expandedCells:
+                remove_from_screen(cell)
+
+
+    def updateDistributions(self, distributions):
+        "Draws an agent's belief distributions"
+        # copy all distributions so we don't change their state
+        distributions = list(map(lambda x: x.copy(), distributions))
+        if self.distributionImages == None:
+            self.drawDistributions(self.previousState)
+        for x in range(len(self.distributionImages)):
+            for y in range(len(self.distributionImages[0])):
+                image = self.distributionImages[x][y]
+                weights = [dist[ (x,y) ] for dist in distributions]
+
+                if sum(weights) != 0:
+                    pass
+                # Fog of war
+                color = [0.0,0.0,0.0]
+                colors = GHOST_VEC_COLORS[1:] # With Pacman
+                if self.capture: colors = GHOST_VEC_COLORS
+                for weight, gcolor in zip(weights, colors):
+                    color = [min(1.0, c + 0.95 * g * weight ** .3) for c,g in zip(color, gcolor)]
+                changeColor(image, formatColor(*color))
+        refresh()
+
+class FirstPersonPacmanGraphics(PacmanGraphics):
+    def __init__(self, zoom = 1.0, showGhosts = True, capture = False, frameTime=0):
+        PacmanGraphics.__init__(self, zoom, frameTime=frameTime)
+        self.showGhosts = showGhosts
+        self.capture = capture
+
+    def initialize(self, state, isBlue = False):
+
+        self.isBlue = isBlue
+        PacmanGraphics.startGraphics(self, state)
+        # Initialize distribution images
+        walls = state.layout.walls
+        dist = []
+        self.layout = state.layout
+
+        # Draw the rest
+        self.distributionImages = None  # initialize lazily
+        self.drawStaticObjects(state)
+        self.drawAgentObjects(state)
+
+        # Information
+        self.previousState = state
+
+    def lookAhead(self, config, state):
+        if config.getDirection() == 'Stop':
+            return
+        else:
+            pass
+            # Draw relevant ghosts
+            allGhosts = state.getGhostStates()
+            visibleGhosts = state.getVisibleGhosts()
+            for i, ghost in enumerate(allGhosts):
+                if ghost in visibleGhosts:
+                    self.drawGhost(ghost, i)
+                else:
+                    self.currentGhostImages[i] = None
+
+    def getGhostColor(self, ghost, ghostIndex):
+        return GHOST_COLORS[ghostIndex]
+
+    def getPosition(self, ghostState):
+        if not self.showGhosts and not ghostState.isPacman and ghostState.getPosition()[1] > 1:
+            return (-1000, -1000)
+        else:
+            return PacmanGraphics.getPosition(self, ghostState)
+
+def add(x, y):
+    return (x[0] + y[0], x[1] + y[1])
+
+
+# Saving graphical output
+# -----------------------
+# Note: to make an animated gif from this postscript output, try the command:
+# convert -delay 7 -loop 1 -compress lzw -layers optimize frame* out.gif
+# convert is part of imagemagick (freeware)
+
+SAVE_POSTSCRIPT = False
+POSTSCRIPT_OUTPUT_DIR = 'frames'
+FRAME_NUMBER = 0
+import os
+
+def saveFrame():
+    "Saves the current graphical output as a postscript file"
+    global SAVE_POSTSCRIPT, FRAME_NUMBER, POSTSCRIPT_OUTPUT_DIR
+    if not SAVE_POSTSCRIPT: return
+    if not os.path.exists(POSTSCRIPT_OUTPUT_DIR): os.mkdir(POSTSCRIPT_OUTPUT_DIR)
+    name = os.path.join(POSTSCRIPT_OUTPUT_DIR, 'frame_%08d.ps' % FRAME_NUMBER)
+    FRAME_NUMBER += 1
+    writePostscript(name) # writes the current canvas
diff --git a/tracking/graphicsUtils.py b/tracking/graphicsUtils.py
new file mode 100644
index 0000000..c5e8b81
--- /dev/null
+++ b/tracking/graphicsUtils.py
@@ -0,0 +1,405 @@
+# graphicsUtils.py
+# ----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import sys
+import math
+import random
+import string
+import time
+import types
+try:
+    import tkinter
+except ImportError:
+    tkinter = None
+import os.path
+
+_Windows = sys.platform == 'win32'  # True if on Win95/98/NT
+
+_root_window = None      # The root window for graphics output
+_canvas = None      # The canvas which holds graphics
+_canvas_xs = None      # Size of canvas object
+_canvas_ys = None
+_canvas_x = None      # Current position on canvas
+_canvas_y = None
+_canvas_col = None      # Current colour (set to black below)
+_canvas_tsize = 12
+_canvas_tserifs = 0
+
+def formatColor(r, g, b):
+    return '#%02x%02x%02x' % (int(r * 255), int(g * 255), int(b * 255))
+
+def colorToVector(color):
+    return list(map(lambda x: int(x, 16) / 256.0, [color[1:3], color[3:5], color[5:7]]))
+
+if _Windows:
+    _canvas_tfonts = ['times new roman', 'lucida console']
+else:
+    _canvas_tfonts = ['times', 'lucidasans-24']
+    pass # XXX need defaults here
+
+def sleep(secs):
+    global _root_window
+    if _root_window == None:
+        time.sleep(secs)
+    else:
+        _root_window.update_idletasks()
+        _root_window.after(int(1000 * secs), _root_window.quit)
+        _root_window.mainloop()
+
+def begin_graphics(width=640, height=480, color=formatColor(0, 0, 0), title=None):
+
+    global _root_window, _canvas, _canvas_x, _canvas_y, _canvas_xs, _canvas_ys, _bg_color
+
+    # Check for duplicate call
+    if _root_window is not None:
+        # Lose the window.
+        _root_window.destroy()
+
+    # Save the canvas size parameters
+    _canvas_xs, _canvas_ys = width - 1, height - 1
+    _canvas_x, _canvas_y = 0, _canvas_ys
+    _bg_color = color
+
+    # Create the root window
+    _root_window = tkinter.Tk()
+    _root_window.protocol('WM_DELETE_WINDOW', _destroy_window)
+    _root_window.title(title or 'Graphics Window')
+    _root_window.resizable(0, 0)
+
+    # Create the canvas object
+    try:
+        _canvas = tkinter.Canvas(_root_window, width=width, height=height)
+        _canvas.pack()
+        draw_background()
+        _canvas.update()
+    except:
+        _root_window = None
+        raise
+
+    # Bind to key-down and key-up events
+    _root_window.bind( "", _keypress )
+    _root_window.bind( "", _keyrelease )
+    _root_window.bind( "", _clear_keys )
+    _root_window.bind( "", _clear_keys )
+    _root_window.bind( "", _leftclick )
+    _root_window.bind( "", _rightclick )
+    _root_window.bind( "", _rightclick )
+    _root_window.bind( "", _ctrl_leftclick)
+    _clear_keys()
+
+_leftclick_loc = None
+_rightclick_loc = None
+_ctrl_leftclick_loc = None
+
+def _leftclick(event):
+    global _leftclick_loc
+    _leftclick_loc = (event.x, event.y)
+
+def _rightclick(event):
+    global _rightclick_loc
+    _rightclick_loc = (event.x, event.y)
+
+def _ctrl_leftclick(event):
+    global _ctrl_leftclick_loc
+    _ctrl_leftclick_loc = (event.x, event.y)
+
+def wait_for_click():
+    while True:
+        global _leftclick_loc
+        global _rightclick_loc
+        global _ctrl_leftclick_loc
+        if _leftclick_loc != None:
+            val = _leftclick_loc
+            _leftclick_loc = None
+            return val, 'left'
+        if _rightclick_loc != None:
+            val = _rightclick_loc
+            _rightclick_loc = None
+            return val, 'right'
+        if _ctrl_leftclick_loc != None:
+            val = _ctrl_leftclick_loc
+            _ctrl_leftclick_loc = None
+            return val, 'ctrl_left'
+        sleep(0.05)
+
+def draw_background():
+    corners = [(0,0), (0, _canvas_ys), (_canvas_xs, _canvas_ys), (_canvas_xs, 0)]
+    polygon(corners, _bg_color, fillColor=_bg_color, filled=True, smoothed=False)
+
+def _destroy_window(event=None):
+    sys.exit(0)
+#    global _root_window
+#    _root_window.destroy()
+#    _root_window = None
+    #print "DESTROY"
+
+def end_graphics():
+    global _root_window, _canvas, _mouse_enabled
+    try:
+        try:
+            sleep(1)
+            if _root_window != None:
+                _root_window.destroy()
+        except SystemExit as e:
+            print('Ending graphics raised an exception:', e)
+    finally:
+        _root_window = None
+        _canvas = None
+        _mouse_enabled = 0
+        _clear_keys()
+
+def clear_screen(background=None):
+    global _canvas_x, _canvas_y
+    _canvas.delete('all')
+    draw_background()
+    _canvas_x, _canvas_y = 0, _canvas_ys
+
+def polygon(coords, outlineColor, fillColor=None, filled=1, smoothed=1, behind=0, width=1):
+    c = []
+    for coord in coords:
+        c.append(coord[0])
+        c.append(coord[1])
+    if fillColor == None: fillColor = outlineColor
+    if filled == 0: fillColor = ""
+    poly = _canvas.create_polygon(c, outline=outlineColor, fill=fillColor, smooth=smoothed, width=width)
+    if behind > 0:
+        _canvas.tag_lower(poly, behind) # Higher should be more visible
+    return poly
+
+def square(pos, r, color, filled=1, behind=0):
+    x, y = pos
+    coords = [(x - r, y - r), (x + r, y - r), (x + r, y + r), (x - r, y + r)]
+    return polygon(coords, color, color, filled, 0, behind=behind)
+
+def circle(pos, r, outlineColor, fillColor, endpoints=None, style='pieslice', width=2):
+    x, y = pos
+    x0, x1 = x - r - 1, x + r
+    y0, y1 = y - r - 1, y + r
+    if endpoints == None:
+        e = [0, 359]
+    else:
+        e = list(endpoints)
+    while e[0] > e[1]: e[1] = e[1] + 360
+
+    return _canvas.create_arc(x0, y0, x1, y1, outline=outlineColor, fill=fillColor,
+                              extent=e[1] - e[0], start=e[0], style=style, width=width)
+
+def image(pos, file="../../blueghost.gif"):
+    x, y = pos
+    # img = PhotoImage(file=file)
+    return _canvas.create_image(x, y, image = tkinter.PhotoImage(file=file), anchor = tkinter.NW)
+
+
+def refresh():
+    _canvas.update_idletasks()
+
+def moveCircle(id, pos, r, endpoints=None):
+    global _canvas_x, _canvas_y
+
+    x, y = pos
+#    x0, x1 = x - r, x + r + 1
+#    y0, y1 = y - r, y + r + 1
+    x0, x1 = x - r - 1, x + r
+    y0, y1 = y - r - 1, y + r
+    if endpoints == None:
+        e = [0, 359]
+    else:
+        e = list(endpoints)
+    while e[0] > e[1]: e[1] = e[1] + 360
+
+    if os.path.isfile('flag'):
+        edit(id, ('extent', e[1] - e[0]))
+    else:
+        edit(id, ('start', e[0]), ('extent', e[1] - e[0]))
+    move_to(id, x0, y0)
+
+def edit(id, *args):
+    _canvas.itemconfigure(id, **dict(args))
+
+def text(pos, color, contents, font='Helvetica', size=12, style='normal', anchor="nw"):
+    global _canvas_x, _canvas_y
+    x, y = pos
+    font = (font, str(size), style)
+    return _canvas.create_text(x, y, fill=color, text=contents, font=font, anchor=anchor)
+
+def changeText(id, newText, font=None, size=12, style='normal'):
+    _canvas.itemconfigure(id, text=newText)
+    if font != None:
+        _canvas.itemconfigure(id, font=(font, '-%d' % size, style))
+
+def changeColor(id, newColor):
+    _canvas.itemconfigure(id, fill=newColor)
+
+def line(here, there, color=formatColor(0, 0, 0), width=2):
+    x0, y0 = here[0], here[1]
+    x1, y1 = there[0], there[1]
+    return _canvas.create_line(x0, y0, x1, y1, fill=color, width=width)
+
+##############################################################################
+### Keypress handling ########################################################
+##############################################################################
+
+# We bind to key-down and key-up events.
+
+_keysdown = {}
+_keyswaiting = {}
+# This holds an unprocessed key release.  We delay key releases by up to
+# one call to keys_pressed() to get round a problem with auto repeat.
+_got_release = None
+
+def _keypress(event):
+    global _got_release
+    #remap_arrows(event)
+    _keysdown[event.keysym] = 1
+    _keyswaiting[event.keysym] = 1
+#    print event.char, event.keycode
+    _got_release = None
+
+def _keyrelease(event):
+    global _got_release
+    #remap_arrows(event)
+    try:
+        del _keysdown[event.keysym]
+    except:
+        pass
+    _got_release = 1
+
+def remap_arrows(event):
+    # TURN ARROW PRESSES INTO LETTERS (SHOULD BE IN KEYBOARD AGENT)
+    if event.char in ['a', 's', 'd', 'w']:
+        return
+    if event.keycode in [37, 101]: # LEFT ARROW (win / x)
+        event.char = 'a'
+    if event.keycode in [38, 99]: # UP ARROW
+        event.char = 'w'
+    if event.keycode in [39, 102]: # RIGHT ARROW
+        event.char = 'd'
+    if event.keycode in [40, 104]: # DOWN ARROW
+        event.char = 's'
+
+def _clear_keys(event=None):
+    global _keysdown, _got_release, _keyswaiting
+    _keysdown = {}
+    _keyswaiting = {}
+    _got_release = None
+
+def keys_pressed(d_o_e=lambda arg: _root_window.dooneevent(arg),
+                 d_w=tkinter._tkinter.DONT_WAIT if tkinter else None):
+    d_o_e(d_w)
+    if _got_release:
+        d_o_e(d_w)
+    return _keysdown.keys()
+
+def keys_waiting():
+    global _keyswaiting
+    keys = _keyswaiting.keys()
+    _keyswaiting = {}
+    return keys
+
+# Block for a list of keys...
+
+def wait_for_keys():
+    keys = []
+    while keys == []:
+        keys = keys_pressed()
+        sleep(0.05)
+    return keys
+
+def remove_from_screen(x,
+                       d_o_e=lambda arg: _root_window.dooneevent(arg),
+                       d_w=tkinter._tkinter.DONT_WAIT if tkinter else None):
+    _canvas.delete(x)
+    d_o_e(d_w)
+
+def _adjust_coords(coord_list, x, y):
+    for i in range(0, len(coord_list), 2):
+        coord_list[i] = coord_list[i] + x
+        coord_list[i + 1] = coord_list[i + 1] + y
+    return coord_list
+
+def move_to(object, x, y=None,
+            d_o_e=lambda arg: _root_window.dooneevent(arg),
+            d_w=tkinter._tkinter.DONT_WAIT if tkinter else None):
+    if y is None:
+        try: x, y = x
+        except: raise  'incomprehensible coordinates'
+
+    horiz = True
+    newCoords = []
+    current_x, current_y = _canvas.coords(object)[0:2] # first point
+    for coord in  _canvas.coords(object):
+        if horiz:
+            inc = x - current_x
+        else:
+            inc = y - current_y
+        horiz = not horiz
+
+        newCoords.append(coord + inc)
+
+    _canvas.coords(object, *newCoords)
+    d_o_e(d_w)
+
+def move_by(object, x, y=None,
+            d_o_e=lambda arg: _root_window.dooneevent(arg),
+            d_w=tkinter._tkinter.DONT_WAIT if tkinter else None, lift=False):
+    if y is None:
+        try: x, y = x
+        except: raise Exception('incomprehensible coordinates')
+
+    horiz = True
+    newCoords = []
+    for coord in  _canvas.coords(object):
+        if horiz:
+            inc = x
+        else:
+            inc = y
+        horiz = not horiz
+
+        newCoords.append(coord + inc)
+
+    _canvas.coords(object, *newCoords)
+    d_o_e(d_w)
+    if lift:
+        _canvas.tag_raise(object)
+
+def writePostscript(filename):
+    "Writes the current canvas to a postscript file."
+    psfile = open(filename, 'w')
+    psfile.write(_canvas.postscript(pageanchor='sw',
+                     y='0.c',
+                     x='0.c'))
+    psfile.close()
+
+ghost_shape = [
+    (0, - 0.5),
+    (0.25, - 0.75),
+    (0.5, - 0.5),
+    (0.75, - 0.75),
+    (0.75, 0.5),
+    (0.5, 0.75),
+    (- 0.5, 0.75),
+    (- 0.75, 0.5),
+    (- 0.75, - 0.75),
+    (- 0.5, - 0.5),
+    (- 0.25, - 0.75)
+  ]
+
+if __name__ == '__main__':
+    begin_graphics()
+    clear_screen()
+    ghost_shape = [(x * 10 + 20, y * 10 + 20) for x, y in ghost_shape]
+    g = polygon(ghost_shape, formatColor(1, 1, 1))
+    move_to(g, (50, 50))
+    circle((150, 150), 20, formatColor(0.7, 0.3, 0.0), endpoints=[15, - 15])
+    sleep(2)
diff --git a/tracking/hunters.py b/tracking/hunters.py
new file mode 100644
index 0000000..b537e13
--- /dev/null
+++ b/tracking/hunters.py
@@ -0,0 +1,558 @@
+# hunters.py
+# ----------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+"""
+Busters.py is a vengeful variant of Pacman where Pacman hunts ghosts, but
+cannot see them.  Numbers at the bottom of the display are noisy distance
+readings to each remaining ghost.
+
+To play your first game, type 'python pacman.py' from the command line.
+The keys are 'a', 's', 'd', and 'w' to move (or arrow keys).  Have fun!
+"""
+from game import GameStateData
+from game import Game
+from game import Directions
+from game import Actions
+from game import Configuration
+from game import Grid
+from util import nearestPoint
+from util import manhattanDistance
+import sys, util, types, time, random, layout, os
+
+WALL_STRING = '%'
+RED_WALL_STRING = 'R'
+BLUE_WALL_STRING = 'B'
+EMPTY_SQUARE_STRING = ' '
+
+GHOST_COLLISION_REWARD = -500
+WON_GAME_REWARD = 500
+
+###################################################
+# YOUR INTERFACE TO THE PACMAN WORLD: A GameState #
+###################################################
+
+class GameState:
+    """
+    A GameState specifies the full game state, including the food, capsules,
+    agent configurations and score changes.
+
+    GameStates are used by the Game object to capture the actual state of the game and
+    can be used by agents to reason about the game.
+
+    Much of the information in a GameState is stored in a GameStateData object.  We
+    strongly suggest that you access that data via the accessor methods below rather
+    than referring to the GameStateData object directly.
+
+    Note that in classic Pacman, Pacman is always agent 0.
+    """
+
+    ####################################################
+    # Accessor methods: use these to access state data #
+    ####################################################
+
+    def getLegalActions( self, agentIndex=0 ):
+        """
+        Returns the legal actions for the agent specified.
+        """
+        if self.isWin() or self.isLose(): return []
+
+        if agentIndex == 0:  # Pacman is moving
+            return PacmanRules.getLegalActions( self )
+        else:
+            return GhostRules.getLegalActions( self, agentIndex )
+
+    def generateSuccessor( self, agentIndex, action):
+        """
+        Returns the successor state after the specified agent takes the action.
+        """
+        # Check that successors exist
+        if self.isWin() or self.isLose(): raise Exception('Can\'t generate a successor of a terminal state.')
+
+        # Copy current state
+        state = GameState(self)
+
+        # Let agent's logic deal with its action's effects on the board
+        if agentIndex == 0:  # Pacman is moving
+            state.data._eaten = [False for i in range(state.getNumAgents())]
+            PacmanRules.applyAction( state, action )
+        else:                # A ghost is moving
+            GhostRules.applyAction( state, action, agentIndex )
+
+        # Time passes
+        if agentIndex == 0:
+            state.data.scoreChange += -TIME_PENALTY # Penalty for waiting around
+
+        # Resolve multi-agent effects
+        GhostRules.checkDeath( state, agentIndex )
+
+        # Book keeping
+        state.data._agentMoved = agentIndex
+        state.data.score += state.data.scoreChange
+
+        # Pacman observes neighboring squares
+        state.getObservation()
+
+        return state
+
+    def getLegalPacmanActions( self ):
+        return self.getLegalActions( 0 )
+
+    def generatePacmanSuccessor( self, action ):
+        """
+        Generates the successor state after the specified pacman move
+        """
+        return self.generateSuccessor( 0, action )
+
+    def getPacmanState( self ):
+        """
+        Returns an AgentState object for pacman (in game.py)
+
+        state.pos gives the current position
+        state.direction gives the travel vector
+        """
+        return self.data.agentStates[0].copy()
+
+    def getPacmanPosition( self ):
+        return self.data.agentStates[0].getPosition()
+
+    def getNumAgents( self ):
+        return len( self.data.agentStates )
+
+    def getScore( self ):
+        return self.data.score
+
+    def isLose( self ):
+        return self.data._lose
+
+    def isWin( self ):
+        return self.data._win
+
+    ################################
+    # Additions for Hunters Pacman #
+    ################################
+
+    def getObservation(self):
+        x, y = self.getPacmanPosition()
+        adjacent = [(x-1, y), (x+1, y), (x, y-1), (x, y+1)]
+        for x, y in adjacent:
+            self.data.observedPositions[x][y] = True
+        return { (x, y) : self.squareInfo(x, y) for x, y in adjacent }
+
+    def squareInfo(self, x, y):
+        if self.hasWall(x, y):
+            return WALL_STRING
+        elif self.data.layout.redWalls[x][y]:
+            return RED_WALL_STRING
+        elif self.data.layout.blueWalls[x][y]:
+            return BLUE_WALL_STRING
+        else:
+            return EMPTY_SQUARE_STRING
+
+    def getObservedPositions(self):
+        return self.data.observedPositions
+
+    def getHouseWalls(self, house):
+        return layout.buildHouseAroundCenter(*house)
+
+    def getPossibleHouses(self):
+        return layout.pickPossibleLocations(self.data.layout.width, self.data.layout.height)
+
+    def getEvidence(self):
+        evidence = {}
+        possible = {w for h in self.getPossibleHouses() for w in self.getHouseWalls(h)}
+        for pos in self.getObservedPositions().asList():
+            if pos in possible:
+                evidence[pos] = self.squareInfo(*pos)
+        return evidence
+
+    #############################################
+    #             Helper methods:               #
+    # You shouldn't need to call these directly #
+    #############################################
+
+    def __init__( self, prevState = None ):
+        """
+        Generates a new state by copying information from its predecessor.
+        """
+        if prevState is not None:
+            self.data = GameStateData(prevState.data)
+            self.numMoves = prevState.numMoves
+            self.maxMoves = prevState.maxMoves
+        else: # Initial state
+            self.data = GameStateData()
+            self.numMoves = 0
+            self.maxMoves = -1
+
+    def deepCopy( self ):
+        state = GameState( self )
+        state.data = self.data.deepCopy()
+        return state
+
+    def __eq__( self, other ):
+        """
+        Allows two states to be compared.
+        """
+        return self.data == other.data
+
+    def __hash__( self ):
+        """
+        Allows states to be keys of dictionaries.
+        """
+        return hash( str( self ) )
+
+    def __str__( self ):
+
+        return str(self.data)
+
+    def initialize( self, layout, numGhostAgents=1000 ):
+        """
+        Creates an initial game state from a layout array (see layout.py).
+        """
+        self.data.initialize(layout, numGhostAgents)
+
+    def getGhostPosition( self, agentIndex ):
+        if agentIndex == 0:
+            raise "Pacman's index passed to getGhostPosition"
+        return self.data.agentStates[agentIndex].getPosition()
+
+    def getGhostState( self, agentIndex ):
+        if agentIndex == 0:
+            raise "Pacman's index passed to getGhostPosition"
+        return self.data.agentStates[agentIndex]
+
+    def getCapsules(self):
+        """
+        Returns a list of positions (x,y) of the remaining capsules.
+        """
+        return self.data.capsules
+
+    def getNumFood( self ):
+        return self.data.food.count()
+
+    def getFood(self):
+        """
+        Returns a Grid of boolean food indicator variables.
+
+        Grids can be accessed via list notation, so to check
+        if there is food at (x,y), just call
+
+        currentFood = state.getFood()
+        if currentFood[x][y] == True: ...
+        """
+        return self.data.food
+
+    def getWalls(self):
+        """
+        Returns a Grid of boolean wall indicator variables.
+
+        Grids can be accessed via list notation, so to check
+        if there is food at (x,y), just call
+
+        walls = state.getWalls()
+        if walls[x][y] == True: ...
+        """
+        return self.data.layout.walls
+
+    def hasFood(self, x, y):
+        return self.data.food[x][y]
+
+    def hasWall(self, x, y):
+        return self.data.layout.walls[x][y]
+
+############################################################################
+#                     THE HIDDEN SECRETS OF PACMAN                         #
+#                                                                          #
+# You shouldn't need to look through the code in this section of the file. #
+############################################################################
+
+COLLISION_TOLERANCE = 0.7 # How close ghosts must be to Pacman to kill
+TIME_PENALTY = 1 # Number of points lost each round
+
+class HuntersGameRules:
+    """
+    These game rules manage the control flow of a game, deciding when
+    and how the game starts and ends.
+    """
+
+    def newGame( self, layout, pacmanAgent, ghostAgents, display, maxMoves= -1 ):
+        agents = [pacmanAgent] + ghostAgents
+        initState = GameState()
+        initState.initialize( layout, len(ghostAgents) )
+        game = Game(agents, display, self)
+        game.state = initState
+        return game
+
+    def process(self, state, game):
+        """
+        Checks to see whether it is time to end the game.
+        """
+        if state.isWin(): self.win(state, game)
+        if state.isLose(): self.lose(state, game)
+
+    def win( self, state, game ):
+        print("Pacman found the food! Score: %d" % state.data.score)
+        game.gameOver = True
+
+    def lose( self, state, game ):
+        print("Uh oh, You found the Princess! Wraaaang she's in another house go away. Score: %d" % state.data.score)
+        game.gameOver = True
+
+class PacmanRules:
+    """
+    These functions govern how pacman interacts with his environment under
+    the classic game rules.
+    """
+    def getLegalActions( state ):
+        """
+        Returns a list of possible actions.
+        """
+        return Actions.getPossibleActions( state.getPacmanState().configuration, state.data.layout.walls, state.data.layout.redWalls, state.data.layout.blueWalls )
+    getLegalActions = staticmethod( getLegalActions )
+
+    def applyAction( state, action ):
+        """
+        Edits the state to reflect the results of the action.
+        """
+        legal = PacmanRules.getLegalActions( state )
+        if action not in legal:
+            raise Exception("Illegal action " + str(action))
+
+        pacmanState = state.data.agentStates[0]
+
+        # Update Configuration
+        vector = Actions.directionToVector( action, 1 )
+        pacmanState.configuration = pacmanState.configuration.generateSuccessor( vector )
+
+        # Eat
+        next = pacmanState.configuration.getPosition()
+        nearest = nearestPoint( next )
+        if manhattanDistance( nearest, next ) <= 0.5 :
+            # Remove food
+            PacmanRules.consume( nearest, state )
+
+    applyAction = staticmethod( applyAction )
+
+    def consume( position, state ):
+        x,y = position
+        # Eat food
+        if state.data.food[x][y]:
+            state.data.scoreChange += 10
+            state.data.food = state.data.food.copy()
+            state.data.food[x][y] = False
+            state.data._foodEaten = position
+
+            numFood = state.getNumFood()
+            if numFood == 0 and not state.data._lose:
+                state.data.scoreChange += WON_GAME_REWARD
+                state.data._win = True
+
+    consume = staticmethod( consume )
+
+class GhostRules:
+    """
+    These functions dictate how ghosts interact with their environment.
+    """
+    def applyAction( state, action, ghostIndex):
+        if action != Directions.STOP:
+            raise Exception("Illegal ghost action " + str(action))
+
+        ghostState = state.data.agentStates[ghostIndex]
+        vector = Actions.directionToVector( action, 1 )
+        ghostState.configuration = ghostState.configuration.generateSuccessor( vector )
+    applyAction = staticmethod( applyAction )
+
+    def checkDeath( state, agentIndex):
+        pacmanPosition = state.getPacmanPosition()
+        if agentIndex == 0: # Pacman just moved; Anyone can kill him
+            for index in range( 1, len( state.data.agentStates ) ):
+                ghostState = state.data.agentStates[index]
+                ghostPosition = ghostState.configuration.getPosition()
+                if GhostRules.canKill( pacmanPosition, ghostPosition ):
+                    GhostRules.collide( state, ghostState, index )
+        else:
+            ghostState = state.data.agentStates[agentIndex]
+            ghostPosition = ghostState.configuration.getPosition()
+            if GhostRules.canKill( pacmanPosition, ghostPosition ):
+                GhostRules.collide( state, ghostState, agentIndex )
+    checkDeath = staticmethod( checkDeath )
+
+    def collide( state, ghostState, agentIndex):
+        state.data.scoreChange += GHOST_COLLISION_REWARD
+        state.data._lose = True
+
+    collide = staticmethod( collide )
+
+    def canKill( pacmanPosition, ghostPosition ):
+        return manhattanDistance( ghostPosition, pacmanPosition ) <= COLLISION_TOLERANCE
+    canKill = staticmethod( canKill )
+
+    def placeGhost(state, ghostState):
+        ghostState.configuration = ghostState.start
+    placeGhost = staticmethod( placeGhost )
+
+#############################
+# FRAMEWORK TO START A GAME #
+#############################
+
+def default(str):
+    return str + ' [Default: %default]'
+
+def parseAgentArgs(str):
+    if str == None: return {}
+    pieces = str.split(',')
+    opts = {}
+    for p in pieces:
+        if '=' in p:
+            key, val = p.split('=')
+        else:
+            key,val = p, 1
+        opts[key] = val
+    return opts
+
+def readCommand( argv ):
+    """
+    Processes the command used to run pacman from the command line.
+    """
+    from optparse import OptionParser
+    usageStr = """
+    USAGE:      python busters.py 
+    EXAMPLE:    python busters.py --layout bigHunt
+                  - starts an interactive game on a big board
+    """
+    parser = OptionParser(usageStr)
+
+    parser.add_option('-n', '--numGames', dest='numGames', type='int',
+                      help=default('the number of GAMES to play'), metavar='GAMES', default=1)
+    parser.add_option('-l', '--layout', dest='layout',
+                      help=default('the LAYOUT_FILE from which to load the map layout'),
+                      metavar='LAYOUT_FILE', default='treasureHunt')
+    parser.add_option('-p', '--pacman', dest='pacman',
+                      help=default('the agent TYPE in the pacmanAgents module to use'),
+                      metavar='TYPE', default='KeyboardAgent')
+    parser.add_option('-a','--agentArgs',dest='agentArgs',
+                      help='Comma seperated values sent to agent. e.g. "opt1=val1,opt2,opt3=val3"')
+    parser.add_option('-g', '--ghosts', dest='ghost',
+                      help=default('the ghost agent TYPE in the ghostAgents module to use'),
+                      metavar = 'TYPE', default='StationaryGhostAgent')
+    parser.add_option('-q', '--quietTextGraphics', action='store_true', dest='quietGraphics',
+                      help='Generate minimal output and no graphics', default=False)
+    parser.add_option('-k', '--numghosts', type='int', dest='numGhosts',
+                      help=default('The maximum number of ghosts to use'), default=1)
+    parser.add_option('-z', '--zoom', type='float', dest='zoom',
+                      help=default('Zoom the size of the graphics window'), default=1.0)
+    parser.add_option('-d', '--displayGhosts', action='store_true', dest='displayGhosts',
+                      help='Renders the ghosts in the display (cheating)', default=False)
+    parser.add_option('-t', '--frameTime', dest='frameTime', type='float',
+                      help=default('Time to delay between frames; <0 means keyboard'), default=0.1)
+    parser.add_option('-r', '--randomBoard', action='store_true', dest='randomBoard',
+                      help='Generates some random board', default=False)
+    parser.add_option('-v', '--vpiBoard', action='store_true', dest='vpiBoard',
+                      help='Generates a special board for the VPI sub-problem',
+                      default=False)
+    parser.add_option('-s', '--seed', type='str', dest='seed',
+                      help=default('Generates a random board using the specified seed'), default=None)
+
+    options, otherjunk = parser.parse_args()
+    if len(otherjunk) != 0:
+        raise Exception('Command line input not understood: ' + otherjunk)
+    args = dict()
+
+    if options.randomBoard or options.seed:
+        # options.seed defaults to None which uses system time
+        args['layout'] = layout.Layout(options.seed)
+    elif options.vpiBoard:
+        args['layout'] = layout.Layout(options.seed, vpi=True)
+    else:
+        # Choose a layout
+        args['layout'] = layout.getLayout( options.layout )
+        if args['layout'] == None: raise Exception("The layout " + options.layout + " cannot be found")
+
+    # Choose a ghost agent
+    ghostType = loadAgent(options.ghost, options.quietGraphics)
+    args['ghosts'] = [ghostType( i+1 ) for i in range( options.numGhosts )]
+
+    # Choose a Pacman agent
+    noKeyboard = options.quietGraphics
+    pacmanType = loadAgent(options.pacman, noKeyboard)
+    agentOpts = parseAgentArgs(options.agentArgs)
+    # agentOpts['ghostAgents'] = args['ghosts']
+    pacman = pacmanType(**agentOpts) # Instantiate Pacman with agentArgs
+    args['pacman'] = pacman
+
+    import graphicsDisplay
+    args['display'] = graphicsDisplay.FirstPersonPacmanGraphics(options.zoom, options.displayGhosts, frameTime = options.frameTime, hunters=True)
+    args['numGames'] = options.numGames
+
+    return args
+
+def loadAgent(pacman, nographics):
+    # Looks through all pythonPath Directories for the right module,
+    pythonPathStr = os.path.expandvars("$PYTHONPATH")
+    if pythonPathStr.find(';') == -1:
+        pythonPathDirs = pythonPathStr.split(':')
+    else:
+        pythonPathDirs = pythonPathStr.split(';')
+    pythonPathDirs.append('.')
+
+    for moduleDir in pythonPathDirs:
+        if not os.path.isdir(moduleDir): continue
+        moduleNames = [f for f in os.listdir(moduleDir) if f.endswith('gents.py')]
+        for modulename in moduleNames:
+            try:
+                module = __import__(modulename[:-3])
+            except ImportError:
+                continue
+            if pacman in dir(module):
+                if nographics and modulename == 'keyboardAgents.py':
+                    raise Exception('Using the keyboard requires graphics (not text display)')
+                return getattr(module, pacman)
+    raise Exception('The agent ' + pacman + ' is not specified in any *Agents.py.')
+
+def runGames( layout, pacman, ghosts, display, numGames, maxMoves=-1):
+    # Hack for agents writing to the display
+    import __main__
+    __main__.__dict__['_display'] = display
+
+    rules = HuntersGameRules()
+    games = []
+
+    for i in range( numGames ):
+        game = rules.newGame( layout, pacman, ghosts, display, maxMoves )
+        game.run()
+        games.append(game)
+
+    if numGames > 1:
+        scores = [game.state.getScore() for game in games]
+        wins = [game.state.isWin() for game in games]
+        winRate = wins.count(True)/ float(len(wins))
+        print('Average Score:', sum(scores) / float(len(scores)))
+        print('Scores:       ', ', '.join([str(score) for score in scores]))
+        print('Win Rate:      %d/%d (%.2f)' % (wins.count(True), len(wins), winRate))
+        print('Record:       ', ', '.join([ ['Loss', 'Win'][int(w)] for w in wins]))
+
+    return games
+
+if __name__ == '__main__':
+    """
+    The main function called when pacman.py is run
+    from the command line:
+
+    > python pacman.py
+
+    See the usage string for more details.
+
+    > python pacman.py --help
+    """
+    args = readCommand( sys.argv[1:] ) # Get game components based on input
+    runGames( **args )
diff --git a/tracking/inference.py b/tracking/inference.py
new file mode 100644
index 0000000..fc3cd0b
--- /dev/null
+++ b/tracking/inference.py
@@ -0,0 +1,636 @@
+# inference.py
+# ------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import random
+import itertools
+from typing import List, Dict, Tuple
+import busters
+import game
+import bayesNet as bn
+from bayesNet import normalize
+import hunters
+from util import manhattanDistance, raiseNotDefined
+from factorOperations import joinFactorsByVariableWithCallTracking, joinFactors
+from factorOperations import eliminateWithCallTracking
+
+########### ########### ###########
+########### QUESTION 1  ###########
+########### ########### ###########
+
+def constructBayesNet(gameState: hunters.GameState):
+    """
+    Construct an empty Bayes net according to the structure given in Figure 1
+    of the project description.
+
+    You *must* name all variables using the constants in this function.
+
+    In this method, you should:
+    - populate `variables` with the Bayes Net nodes
+    - populate `edges` with every edge in the Bayes Net. we will represent each
+      edge as a tuple `(from, to)`.
+    - set each `variableDomainsDict[var] = values`, where `values` is a list
+      of the possible assignments to `var`.
+        - each agent position is a tuple (x, y) where x and y are 0-indexed
+        - each observed distance is a noisy Manhattan distance:
+          it's non-negative and |obs - true| <= MAX_NOISE
+    - this uses slightly simplified mechanics vs the ones used later for simplicity
+    """
+    # constants to use
+    PAC = "Pacman"
+    GHOST0 = "Ghost0"
+    GHOST1 = "Ghost1"
+    OBS0 = "Observation0"
+    OBS1 = "Observation1"
+    X_RANGE = gameState.getWalls().width
+    Y_RANGE = gameState.getWalls().height
+    MAX_NOISE = 7
+
+    variables = []
+    edges = []
+    variableDomainsDict = {}
+
+    "*** YOUR CODE HERE ***"
+    raiseNotDefined()
+    "*** END YOUR CODE HERE ***"
+
+    net = bn.constructEmptyBayesNet(variables, edges, variableDomainsDict)
+    return net
+
+
+def inferenceByEnumeration(bayesNet: bn, queryVariables: List[str], evidenceDict: Dict):
+    """
+    An inference by enumeration implementation provided as reference.
+    This function performs a probabilistic inference query that
+    returns the factor:
+
+    P(queryVariables | evidenceDict)
+
+    bayesNet:       The Bayes Net on which we are making a query.
+    queryVariables: A list of the variables which are unconditioned in
+                    the inference query.
+    evidenceDict:   An assignment dict {variable : value} for the
+                    variables which are presented as evidence
+                    (conditioned) in the inference query. 
+    """
+    callTrackingList = []
+    joinFactorsByVariable = joinFactorsByVariableWithCallTracking(callTrackingList)
+    eliminate = eliminateWithCallTracking(callTrackingList)
+
+    # initialize return variables and the variables to eliminate
+    evidenceVariablesSet = set(evidenceDict.keys())
+    queryVariablesSet = set(queryVariables)
+    eliminationVariables = (bayesNet.variablesSet() - evidenceVariablesSet) - queryVariablesSet
+
+    # grab all factors where we know the evidence variables (to reduce the size of the tables)
+    currentFactorsList = bayesNet.getAllCPTsWithEvidence(evidenceDict)
+
+    # join all factors by variable
+    for joinVariable in bayesNet.variablesSet():
+        currentFactorsList, joinedFactor = joinFactorsByVariable(currentFactorsList, joinVariable)
+        currentFactorsList.append(joinedFactor)
+
+    # currentFactorsList should contain the connected components of the graph now as factors, must join the connected components
+    fullJoint = joinFactors(currentFactorsList)
+
+    # marginalize all variables that aren't query or evidence
+    incrementallyMarginalizedJoint = fullJoint
+    for eliminationVariable in eliminationVariables:
+        incrementallyMarginalizedJoint = eliminate(incrementallyMarginalizedJoint, eliminationVariable)
+
+    fullJointOverQueryAndEvidence = incrementallyMarginalizedJoint
+
+    # normalize so that the probability sums to one
+    # the input factor contains only the query variables and the evidence variables, 
+    # both as unconditioned variables
+    queryConditionedOnEvidence = normalize(fullJointOverQueryAndEvidence)
+    # now the factor is conditioned on the evidence variables
+
+    # the order is join on all variables, then eliminate on all elimination variables
+    return queryConditionedOnEvidence
+
+########### ########### ###########
+########### QUESTION 4  ###########
+########### ########### ###########
+
+def inferenceByVariableEliminationWithCallTracking(callTrackingList=None):
+
+    def inferenceByVariableElimination(bayesNet: bn, queryVariables: List[str], evidenceDict: Dict, eliminationOrder: List[str]):
+        """
+        This function should perform a probabilistic inference query that
+        returns the factor:
+
+        P(queryVariables | evidenceDict)
+
+        It should perform inference by interleaving joining on a variable
+        and eliminating that variable, in the order of variables according
+        to eliminationOrder.  See inferenceByEnumeration for an example on
+        how to use these functions.
+
+        You need to use joinFactorsByVariable to join all of the factors 
+        that contain a variable in order for the autograder to 
+        recognize that you performed the correct interleaving of 
+        joins and eliminates.
+
+        If a factor that you are about to eliminate a variable from has 
+        only one unconditioned variable, you should not eliminate it 
+        and instead just discard the factor.  This is since the 
+        result of the eliminate would be 1 (you marginalize 
+        all of the unconditioned variables), but it is not a 
+        valid factor.  So this simplifies using the result of eliminate.
+
+        The sum of the probabilities should sum to one (so that it is a true 
+        conditional probability, conditioned on the evidence).
+
+        bayesNet:         The Bayes Net on which we are making a query.
+        queryVariables:   A list of the variables which are unconditioned
+                          in the inference query.
+        evidenceDict:     An assignment dict {variable : value} for the
+                          variables which are presented as evidence
+                          (conditioned) in the inference query. 
+        eliminationOrder: The order to eliminate the variables in.
+
+        Hint: BayesNet.getAllCPTsWithEvidence will return all the Conditional 
+        Probability Tables even if an empty dict (or None) is passed in for 
+        evidenceDict. In this case it will not specialize any variable domains 
+        in the CPTs.
+
+        Useful functions:
+        BayesNet.getAllCPTsWithEvidence
+        normalize
+        eliminate
+        joinFactorsByVariable
+        joinFactors
+        """
+
+        # this is for autograding -- don't modify
+        joinFactorsByVariable = joinFactorsByVariableWithCallTracking(callTrackingList)
+        eliminate             = eliminateWithCallTracking(callTrackingList)
+        if eliminationOrder is None: # set an arbitrary elimination order if None given
+            eliminationVariables = bayesNet.variablesSet() - set(queryVariables) -\
+                                   set(evidenceDict.keys())
+            eliminationOrder = sorted(list(eliminationVariables))
+
+        "*** YOUR CODE HERE ***"
+        raiseNotDefined()
+        "*** END YOUR CODE HERE ***"
+
+
+    return inferenceByVariableElimination
+
+inferenceByVariableElimination = inferenceByVariableEliminationWithCallTracking()
+
+def sampleFromFactorRandomSource(randomSource=None):
+    if randomSource is None:
+        randomSource = random.Random()
+
+    def sampleFromFactor(factor, conditionedAssignments=None):
+        """
+        Sample an assignment for unconditioned variables in factor with
+        probability equal to the probability in the row of factor
+        corresponding to that assignment.
+
+        factor:                 The factor to sample from.
+        conditionedAssignments: A dict of assignments for all conditioned
+                                variables in the factor.  Can only be None
+                                if there are no conditioned variables in
+                                factor, otherwise must be nonzero.
+
+        Useful for inferenceByLikelihoodWeightingSampling
+
+        Returns an assignmentDict that contains the conditionedAssignments but 
+        also a random assignment of the unconditioned variables given their 
+        probability.
+        """
+        if conditionedAssignments is None and len(factor.conditionedVariables()) > 0:
+            raise ValueError("Conditioned assignments must be provided since \n" +
+                            "this factor has conditionedVariables: " + "\n" +
+                            str(factor.conditionedVariables()))
+
+        elif conditionedAssignments is not None:
+            conditionedVariables = set([var for var in conditionedAssignments.keys()])
+
+            if not conditionedVariables.issuperset(set(factor.conditionedVariables())):
+                raise ValueError("Factor's conditioned variables need to be a subset of the \n"
+                                    + "conditioned assignments passed in. \n" + \
+                                "conditionedVariables: " + str(conditionedVariables) + "\n" +
+                                "factor.conditionedVariables: " + str(set(factor.conditionedVariables())))
+
+            # Reduce the domains of the variables that have been
+            # conditioned upon for this factor 
+            newVariableDomainsDict = factor.variableDomainsDict()
+            for (var, assignment) in conditionedAssignments.items():
+                newVariableDomainsDict[var] = [assignment]
+
+            # Get the (hopefully) smaller conditional probability table
+            # for this variable 
+            CPT = factor.specializeVariableDomains(newVariableDomainsDict)
+        else:
+            CPT = factor
+        
+        # Get the probability of each row of the table (along with the
+        # assignmentDict that it corresponds to)
+        assignmentDicts = sorted([assignmentDict for assignmentDict in CPT.getAllPossibleAssignmentDicts()])
+        assignmentDictProbabilities = [CPT.getProbability(assignmentDict) for assignmentDict in assignmentDicts]
+
+        # calculate total probability in the factor and index each row by the 
+        # cumulative sum of probability up to and including that row
+        currentProbability = 0.0
+        probabilityRange = []
+        for i in range(len(assignmentDicts)):
+            currentProbability += assignmentDictProbabilities[i]
+            probabilityRange.append(currentProbability)
+
+        totalProbability = probabilityRange[-1]
+
+        # sample an assignment with probability equal to the probability in the row 
+        # for that assignment in the factor
+        pick = randomSource.uniform(0.0, totalProbability)
+        for i in range(len(assignmentDicts)):
+            if pick <= probabilityRange[i]:
+                return assignmentDicts[i]
+
+    return sampleFromFactor
+
+sampleFromFactor = sampleFromFactorRandomSource()
+
+class DiscreteDistribution(dict):
+    """
+    A DiscreteDistribution models belief distributions and weight distributions
+    over a finite set of discrete keys.
+    """
+    def __getitem__(self, key):
+        self.setdefault(key, 0)
+        return dict.__getitem__(self, key)
+
+    def copy(self):
+        """
+        Return a copy of the distribution.
+        """
+        return DiscreteDistribution(dict.copy(self))
+
+    def argMax(self):
+        """
+        Return the key with the highest value.
+        """
+        if len(self.keys()) == 0:
+            return None
+        all = list(self.items())
+        values = [x[1] for x in all]
+        maxIndex = values.index(max(values))
+        return all[maxIndex][0]
+
+    def total(self):
+        """
+        Return the sum of values for all keys.
+        """
+        return float(sum(self.values()))
+    
+    ########### ########### ###########
+    ########### QUESTION 5a ###########
+    ########### ########### ###########
+
+    def normalize(self):
+        """
+        Normalize the distribution such that the total value of all keys sums
+        to 1. The ratio of values for all keys will remain the same. In the case
+        where the total value of the distribution is 0, do nothing.
+
+        >>> dist = DiscreteDistribution()
+        >>> dist['a'] = 1
+        >>> dist['b'] = 2
+        >>> dist['c'] = 2
+        >>> dist['d'] = 0
+        >>> dist.normalize()
+        >>> list(sorted(dist.items()))
+        [('a', 0.2), ('b', 0.4), ('c', 0.4), ('d', 0.0)]
+        >>> dist['e'] = 4
+        >>> list(sorted(dist.items()))
+        [('a', 0.2), ('b', 0.4), ('c', 0.4), ('d', 0.0), ('e', 4)]
+        >>> empty = DiscreteDistribution()
+        >>> empty.normalize()
+        >>> empty
+        {}
+        """
+        "*** YOUR CODE HERE ***"
+        raiseNotDefined()
+        "*** END YOUR CODE HERE ***"
+
+    def sample(self):
+        """
+        Draw a random sample from the distribution and return the key, weighted
+        by the values associated with each key.
+
+        >>> dist = DiscreteDistribution()
+        >>> dist['a'] = 1
+        >>> dist['b'] = 2
+        >>> dist['c'] = 2
+        >>> dist['d'] = 0
+        >>> N = 100000.0
+        >>> samples = [dist.sample() for _ in range(int(N))]
+        >>> round(samples.count('a') * 1.0/N, 1)  # proportion of 'a'
+        0.2
+        >>> round(samples.count('b') * 1.0/N, 1)
+        0.4
+        >>> round(samples.count('c') * 1.0/N, 1)
+        0.4
+        >>> round(samples.count('d') * 1.0/N, 1)
+        0.0
+        """
+        "*** YOUR CODE HERE ***"
+        raiseNotDefined()
+        "*** END YOUR CODE HERE ***"
+
+
+class InferenceModule:
+    """
+    An inference module tracks a belief distribution over a ghost's location.
+    """
+    ############################################
+    # Useful methods for all inference modules #
+    ############################################
+
+    def __init__(self, ghostAgent):
+        """
+        Set the ghost agent for later access.
+        """
+        self.ghostAgent = ghostAgent
+        self.index = ghostAgent.index
+        self.obs = []  # most recent observation position
+
+    def getJailPosition(self):
+        return (2 * self.ghostAgent.index - 1, 1)
+
+    def getPositionDistributionHelper(self, gameState, pos, index, agent):
+        try:
+            jail = self.getJailPosition()
+            gameState = self.setGhostPosition(gameState, pos, index + 1)
+        except TypeError:
+            jail = self.getJailPosition(index)
+            gameState = self.setGhostPositions(gameState, pos)
+        pacmanPosition = gameState.getPacmanPosition()
+        ghostPosition = gameState.getGhostPosition(index + 1)  # The position you set
+        dist = DiscreteDistribution()
+        if pacmanPosition == ghostPosition:  # The ghost has been caught!
+            dist[jail] = 1.0
+            return dist
+        pacmanSuccessorStates = game.Actions.getLegalNeighbors(pacmanPosition, \
+                gameState.getWalls())  # Positions Pacman can move to
+        if ghostPosition in pacmanSuccessorStates:  # Ghost could get caught
+            mult = 1.0 / float(len(pacmanSuccessorStates))
+            dist[jail] = mult
+        else:
+            mult = 0.0
+        actionDist = agent.getDistribution(gameState)
+        for action, prob in actionDist.items():
+            successorPosition = game.Actions.getSuccessor(ghostPosition, action)
+            if successorPosition in pacmanSuccessorStates:  # Ghost could get caught
+                denom = float(len(actionDist))
+                dist[jail] += prob * (1.0 / denom) * (1.0 - mult)
+                dist[successorPosition] = prob * ((denom - 1.0) / denom) * (1.0 - mult)
+            else:
+                dist[successorPosition] = prob * (1.0 - mult)
+        return dist
+
+    def getPositionDistribution(self, gameState, pos, index=None, agent=None):
+        """
+        Return a distribution over successor positions of the ghost from the
+        given gameState. You must first place the ghost in the gameState, using
+        setGhostPosition below.
+        """
+        if index == None:
+            index = self.index - 1
+        if agent == None:
+            agent = self.ghostAgent
+        return self.getPositionDistributionHelper(gameState, pos, index, agent)
+    
+    ########### ########### ###########
+    ########### QUESTION 5b ###########
+    ########### ########### ###########
+
+    def getObservationProb(self, noisyDistance: int, pacmanPosition: Tuple, ghostPosition: Tuple, jailPosition: Tuple):
+        """
+        Return the probability P(noisyDistance | pacmanPosition, ghostPosition).
+        """
+        "*** YOUR CODE HERE ***"
+        raiseNotDefined()
+        "*** END YOUR CODE HERE ***"
+
+    def setGhostPosition(self, gameState, ghostPosition, index):
+        """
+        Set the position of the ghost for this inference module to the specified
+        position in the supplied gameState.
+
+        Note that calling setGhostPosition does not change the position of the
+        ghost in the GameState object used for tracking the true progression of
+        the game.  The code in inference.py only ever receives a deep copy of
+        the GameState object which is responsible for maintaining game state,
+        not a reference to the original object.  Note also that the ghost
+        distance observations are stored at the time the GameState object is
+        created, so changing the position of the ghost will not affect the
+        functioning of observe.
+        """
+        conf = game.Configuration(ghostPosition, game.Directions.STOP)
+        gameState.data.agentStates[index] = game.AgentState(conf, False)
+        return gameState
+
+    def setGhostPositions(self, gameState, ghostPositions):
+        """
+        Sets the position of all ghosts to the values in ghostPositions.
+        """
+        for index, pos in enumerate(ghostPositions):
+            conf = game.Configuration(pos, game.Directions.STOP)
+            gameState.data.agentStates[index + 1] = game.AgentState(conf, False)
+        return gameState
+
+    def observe(self, gameState):
+        """
+        Collect the relevant noisy distance observation and pass it along.
+        """
+        distances = gameState.getNoisyGhostDistances()
+        if len(distances) >= self.index:  # Check for missing observations
+            obs = distances[self.index - 1]
+            self.obs = obs
+            self.observeUpdate(obs, gameState)
+
+    def initialize(self, gameState):
+        """
+        Initialize beliefs to a uniform distribution over all legal positions.
+        """
+        self.legalPositions = [p for p in gameState.getWalls().asList(False) if p[1] > 1]
+        self.allPositions = self.legalPositions + [self.getJailPosition()]
+        self.initializeUniformly(gameState)
+
+    ######################################
+    # Methods that need to be overridden #
+    ######################################
+
+    def initializeUniformly(self, gameState):
+        """
+        Set the belief state to a uniform prior belief over all positions.
+        """
+        raise NotImplementedError
+
+    def observeUpdate(self, observation, gameState):
+        """
+        Update beliefs based on the given distance observation and gameState.
+        """
+        raise NotImplementedError
+
+    def elapseTime(self, gameState):
+        """
+        Predict beliefs for the next time step from a gameState.
+        """
+        raise NotImplementedError
+
+    def getBeliefDistribution(self):
+        """
+        Return the agent's current belief state, a distribution over ghost
+        locations conditioned on all evidence so far.
+        """
+        raise NotImplementedError
+
+
+class ExactInference(InferenceModule):
+    """
+    The exact dynamic inference module should use forward algorithm updates to
+    compute the exact belief function at each time step.
+    """
+    def initializeUniformly(self, gameState):
+        """
+        Begin with a uniform distribution over legal ghost positions (i.e., not
+        including the jail position).
+        """
+        self.beliefs = DiscreteDistribution()
+        for p in self.legalPositions:
+            self.beliefs[p] = 1.0
+        self.beliefs.normalize()
+    
+    ########### ########### ###########
+    ########### QUESTION 6  ###########
+    ########### ########### ###########
+
+    def observeUpdate(self, observation: int, gameState: busters.GameState):
+        """
+        Update beliefs based on the distance observation and Pacman's position.
+
+        The observation is the noisy Manhattan distance to the ghost you are
+        tracking.
+
+        self.allPositions is a list of the possible ghost positions, including
+        the jail position. You should only consider positions that are in
+        self.allPositions.
+
+        The update model is not entirely stationary: it may depend on Pacman's
+        current position. However, this is not a problem, as Pacman's current
+        position is known.
+        """
+        "*** YOUR CODE HERE ***"
+        raiseNotDefined()
+        "*** END YOUR CODE HERE ***"
+        self.beliefs.normalize()
+    
+    ########### ########### ###########
+    ########### QUESTION 7  ###########
+    ########### ########### ###########
+
+    def elapseTime(self, gameState: busters.GameState):
+        """
+        Predict beliefs in response to a time step passing from the current
+        state.
+
+        The transition model is not entirely stationary: it may depend on
+        Pacman's current position. However, this is not a problem, as Pacman's
+        current position is known.
+        """
+        "*** YOUR CODE HERE ***"
+        raiseNotDefined()
+        "*** END YOUR CODE HERE ***"
+
+    def getBeliefDistribution(self):
+        return self.beliefs
+
+
+class ParticleFilter(InferenceModule):
+    """
+    A particle filter for approximately tracking a single ghost.
+    """
+    def __init__(self, ghostAgent, numParticles=300):
+        InferenceModule.__init__(self, ghostAgent)
+        self.setNumParticles(numParticles)
+
+    def setNumParticles(self, numParticles):
+        self.numParticles = numParticles
+    
+    ########### ########### ###########
+    ########### QUESTION 9  ###########
+    ########### ########### ###########
+
+    def initializeUniformly(self, gameState: busters.GameState):
+        """
+        Initialize a list of particles. Use self.numParticles for the number of
+        particles. Use self.legalPositions for the legal board positions where
+        a particle could be located. Particles should be evenly (not randomly)
+        distributed across positions in order to ensure a uniform prior. Use
+        self.particles for the list of particles.
+        """
+        self.particles = []
+        "*** YOUR CODE HERE ***"
+        raiseNotDefined()
+        "*** END YOUR CODE HERE ***"
+
+    def getBeliefDistribution(self):
+        """
+        Return the agent's current belief state, a distribution over ghost
+        locations conditioned on all evidence and time passage. This method
+        essentially converts a list of particles into a belief distribution.
+
+        This function should return a normalized distribution.
+        """
+        "*** YOUR CODE HERE ***"
+        raiseNotDefined()
+        "*** END YOUR CODE HERE ***"
+    
+    ########### ########### ###########
+    ########### QUESTION 10 ###########
+    ########### ########### ###########
+
+    def observeUpdate(self, observation: int, gameState: busters.GameState):
+        """
+        Update beliefs based on the distance observation and Pacman's position.
+
+        The observation is the noisy Manhattan distance to the ghost you are
+        tracking.
+
+        There is one special case that a correct implementation must handle.
+        When all particles receive zero weight, the list of particles should
+        be reinitialized by calling initializeUniformly. The total method of
+        the DiscreteDistribution may be useful.
+        """
+        "*** YOUR CODE HERE ***"
+        raiseNotDefined()
+        "*** END YOUR CODE HERE ***"
+    
+    ########### ########### ###########
+    ########### QUESTION 11 ###########
+    ########### ########### ###########
+
+    def elapseTime(self, gameState):
+        """
+        Sample each particle's next state based on its current state and the
+        gameState.
+        """
+        "*** YOUR CODE HERE ***"
+        raiseNotDefined()
+        "*** END YOUR CODE HERE ***"
+
diff --git a/tracking/keyboardAgents.py b/tracking/keyboardAgents.py
new file mode 100644
index 0000000..75677b6
--- /dev/null
+++ b/tracking/keyboardAgents.py
@@ -0,0 +1,84 @@
+# keyboardAgents.py
+# -----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from game import Agent
+from game import Directions
+import random
+
+class KeyboardAgent(Agent):
+    """
+    An agent controlled by the keyboard.
+    """
+    # NOTE: Arrow keys also work.
+    WEST_KEY  = 'a'
+    EAST_KEY  = 'd'
+    NORTH_KEY = 'w'
+    SOUTH_KEY = 's'
+    STOP_KEY = 'q'
+
+    def __init__( self, index = 0 ):
+
+        self.lastMove = Directions.STOP
+        self.index = index
+        self.keys = []
+
+    def getAction( self, state):
+        from graphicsUtils import keys_waiting
+        from graphicsUtils import keys_pressed
+        keys = list(keys_waiting()) + list(keys_pressed())
+        if keys != []:
+            self.keys = keys
+
+        legal = state.getLegalActions(self.index)
+        move = self.getMove(legal)
+
+        if move == Directions.STOP:
+            # Try to move in the same direction as before
+            if self.lastMove in legal:
+                move = self.lastMove
+
+        if (self.STOP_KEY in self.keys) and Directions.STOP in legal: move = Directions.STOP
+
+        if move not in legal:
+            move = random.choice(legal)
+
+        self.lastMove = move
+        return move
+
+    def getMove(self, legal):
+        move = Directions.STOP
+        if   (self.WEST_KEY in self.keys or 'Left' in self.keys) and Directions.WEST in legal:  move = Directions.WEST
+        if   (self.EAST_KEY in self.keys or 'Right' in self.keys) and Directions.EAST in legal: move = Directions.EAST
+        if   (self.NORTH_KEY in self.keys or 'Up' in self.keys) and Directions.NORTH in legal:   move = Directions.NORTH
+        if   (self.SOUTH_KEY in self.keys or 'Down' in self.keys) and Directions.SOUTH in legal: move = Directions.SOUTH
+        return move
+
+class KeyboardAgent2(KeyboardAgent):
+    """
+    A second agent controlled by the keyboard.
+    """
+    # NOTE: Arrow keys also work.
+    WEST_KEY  = 'j'
+    EAST_KEY  = "l"
+    NORTH_KEY = 'i'
+    SOUTH_KEY = 'k'
+    STOP_KEY = 'u'
+
+    def getMove(self, legal):
+        move = Directions.STOP
+        if   (self.WEST_KEY in self.keys) and Directions.WEST in legal:  move = Directions.WEST
+        if   (self.EAST_KEY in self.keys) and Directions.EAST in legal: move = Directions.EAST
+        if   (self.NORTH_KEY in self.keys) and Directions.NORTH in legal:   move = Directions.NORTH
+        if   (self.SOUTH_KEY in self.keys) and Directions.SOUTH in legal: move = Directions.SOUTH
+        return move
diff --git a/tracking/layout.py b/tracking/layout.py
new file mode 100644
index 0000000..7122e2f
--- /dev/null
+++ b/tracking/layout.py
@@ -0,0 +1,150 @@
+# layout.py
+# ---------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from util import manhattanDistance
+from game import Grid
+import os
+import random
+from functools import reduce
+
+VISIBILITY_MATRIX_CACHE = {}
+
+class Layout:
+    """
+    A Layout manages the static information about the game board.
+    """
+
+    def __init__(self, layoutText):
+        self.width = len(layoutText[0])
+        self.height= len(layoutText)
+        self.walls = Grid(self.width, self.height, False)
+        self.food = Grid(self.width, self.height, False)
+        self.capsules = []
+        self.agentPositions = []
+        self.numGhosts = 0
+        self.processLayoutText(layoutText)
+        self.layoutText = layoutText
+        self.totalFood = len(self.food.asList())
+        # self.initializeVisibilityMatrix()
+
+    def getNumGhosts(self):
+        return self.numGhosts
+
+    def initializeVisibilityMatrix(self):
+        global VISIBILITY_MATRIX_CACHE
+        if reduce(str.__add__, self.layoutText) not in VISIBILITY_MATRIX_CACHE:
+            from game import Directions
+            vecs = [(-0.5,0), (0.5,0),(0,-0.5),(0,0.5)]
+            dirs = [Directions.NORTH, Directions.SOUTH, Directions.WEST, Directions.EAST]
+            vis = Grid(self.width, self.height, {Directions.NORTH:set(), Directions.SOUTH:set(), Directions.EAST:set(), Directions.WEST:set(), Directions.STOP:set()})
+            for x in range(self.width):
+                for y in range(self.height):
+                    if self.walls[x][y] == False:
+                        for vec, direction in zip(vecs, dirs):
+                            dx, dy = vec
+                            nextx, nexty = x + dx, y + dy
+                            while (nextx + nexty) != int(nextx) + int(nexty) or not self.walls[int(nextx)][int(nexty)] :
+                                vis[x][y][direction].add((nextx, nexty))
+                                nextx, nexty = x + dx, y + dy
+            self.visibility = vis
+            VISIBILITY_MATRIX_CACHE[reduce(str.__add__, self.layoutText)] = vis
+        else:
+            self.visibility = VISIBILITY_MATRIX_CACHE[reduce(str.__add__, self.layoutText)]
+
+    def isWall(self, pos):
+        x, col = pos
+        return self.walls[x][col]
+
+    def getRandomLegalPosition(self):
+        x = random.choice(range(self.width))
+        y = random.choice(range(self.height))
+        while self.isWall( (x, y) ):
+            x = random.choice(range(self.width))
+            y = random.choice(range(self.height))
+        return (x,y)
+
+    def getRandomCorner(self):
+        poses = [(1,1), (1, self.height - 2), (self.width - 2, 1), (self.width - 2, self.height - 2)]
+        return random.choice(poses)
+
+    def getFurthestCorner(self, pacPos):
+        poses = [(1,1), (1, self.height - 2), (self.width - 2, 1), (self.width - 2, self.height - 2)]
+        dist, pos = max([(manhattanDistance(p, pacPos), p) for p in poses])
+        return pos
+
+    def isVisibleFrom(self, ghostPos, pacPos, pacDirection):
+        row, col = [int(x) for x in pacPos]
+        return ghostPos in self.visibility[row][col][pacDirection]
+
+    def __str__(self):
+        return "\n".join(self.layoutText)
+
+    def deepCopy(self):
+        return Layout(self.layoutText[:])
+
+    def processLayoutText(self, layoutText):
+        """
+        Coordinates are flipped from the input format to the (x,y) convention here
+
+        The shape of the maze.  Each character
+        represents a different type of object.
+         % - Wall
+         . - Food
+         o - Capsule
+         G - Ghost
+         P - Pacman
+        Other characters are ignored.
+        """
+        maxY = self.height - 1
+        for y in range(self.height):
+            for x in range(self.width):
+                layoutChar = layoutText[maxY - y][x]
+                self.processLayoutChar(x, y, layoutChar)
+        self.agentPositions.sort()
+        self.agentPositions = [ ( i == 0, pos) for i, pos in self.agentPositions]
+
+    def processLayoutChar(self, x, y, layoutChar):
+        if layoutChar == '%':
+            self.walls[x][y] = True
+        elif layoutChar == '.':
+            self.food[x][y] = True
+        elif layoutChar == 'o':
+            self.capsules.append((x, y))
+        elif layoutChar == 'P':
+            self.agentPositions.append( (0, (x, y) ) )
+        elif layoutChar in ['G']:
+            self.agentPositions.append( (1, (x, y) ) )
+            self.numGhosts += 1
+        elif layoutChar in  ['1', '2', '3', '4']:
+            self.agentPositions.append( (int(layoutChar), (x,y)))
+            self.numGhosts += 1
+def getLayout(name, back = 2):
+    if name.endswith('.lay'):
+        layout = tryToLoad('layouts/' + name)
+        if layout == None: layout = tryToLoad(name)
+    else:
+        layout = tryToLoad('layouts/' + name + '.lay')
+        if layout == None: layout = tryToLoad(name + '.lay')
+    if layout == None and back >= 0:
+        curdir = os.path.abspath('.')
+        os.chdir('..')
+        layout = getLayout(name, back -1)
+        os.chdir(curdir)
+    return layout
+
+def tryToLoad(fullname):
+    if(not os.path.exists(fullname)): return None
+    f = open(fullname)
+    try: return Layout([line.strip() for line in f])
+    finally: f.close()
diff --git a/tracking/layouts/bigHunt.lay b/tracking/layouts/bigHunt.lay
new file mode 100644
index 0000000..f210521
--- /dev/null
+++ b/tracking/layouts/bigHunt.lay
@@ -0,0 +1,20 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%P                        %
+% %%%%%%%%%%%%        %%% %
+%                 %%      %
+%                 %%      %
+%          %         %    %
+% %%%%%%   %%% %%    %  %G%
+%                    %%%%%%
+% %%%%%%    %        %    %
+% %    %    %             %
+% %  G %    %  %%%%%%%%   %
+% %    %    %             %
+% %    %    %  %%%%%%%%   %
+%           %    G        %
+%     %%    %  %%    %%   %
+%     %%    %             %
+%          G%             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% % % % %%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/tracking/layouts/oneHunt.lay b/tracking/layouts/oneHunt.lay
new file mode 100644
index 0000000..46226de
--- /dev/null
+++ b/tracking/layouts/oneHunt.lay
@@ -0,0 +1,16 @@
+%%%%%%%%%%%%%%%%%%%%
+%                  %
+%                  %
+%    G       G     %
+%                  %
+%           P      %
+%                  %
+%                  %
+%                  %
+%    G       G     %
+%                  %
+%                  %
+%                  %
+%%%%%%%%%%%%%%%%%%%%
+% % % % %%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/tracking/layouts/openHunt.lay b/tracking/layouts/openHunt.lay
new file mode 100644
index 0000000..9a4e79b
--- /dev/null
+++ b/tracking/layouts/openHunt.lay
@@ -0,0 +1,13 @@
+%%%%%%%%%%%%%%%%%%%%
+%P      G          %
+% %%%  %%%  %% %%% %
+%     G            %
+%          %       %
+%          %       %
+% %%%%%%   %%%G%%% %
+%     G            %
+%           %      %
+%           %      %
+%%%%%%%%%%%%%%%%%%%%
+% % % % %%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/tracking/layouts/smallHunt.lay b/tracking/layouts/smallHunt.lay
new file mode 100644
index 0000000..7863262
--- /dev/null
+++ b/tracking/layouts/smallHunt.lay
@@ -0,0 +1,8 @@
+%%%%%%%%%%%%%%%%%%%%
+%P      G       G  %
+% %%%%% %%%%%% % % %
+%     G            %
+%          G       %
+%%%%%%%%%%%%%%%%%%%%
+% % % % %%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/tracking/pacman.py b/tracking/pacman.py
new file mode 100644
index 0000000..867ba84
--- /dev/null
+++ b/tracking/pacman.py
@@ -0,0 +1,684 @@
+# pacman.py
+# ---------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+"""
+Pacman.py holds the logic for the classic pacman game along with the main
+code to run a game.  This file is divided into three sections:
+
+  (i)  Your interface to the pacman world:
+          Pacman is a complex environment.  You probably don't want to
+          read through all of the code we wrote to make the game runs
+          correctly.  This section contains the parts of the code
+          that you will need to understand in order to complete the
+          project.  There is also some code in game.py that you should
+          understand.
+
+  (ii)  The hidden secrets of pacman:
+          This section contains all of the logic code that the pacman
+          environment uses to decide who can move where, who dies when
+          things collide, etc.  You shouldn't need to read this section
+          of code, but you can if you want.
+
+  (iii) Framework to start a game:
+          The final section contains the code for reading the command
+          you use to set up the game, then starting up a new game, along with
+          linking in all the external parts (agent functions, graphics).
+          Check this section out to see all the options available to you.
+
+To play your first game, type 'python pacman.py' from the command line.
+The keys are 'a', 's', 'd', and 'w' to move (or arrow keys).  Have fun!
+"""
+from game import GameStateData
+from game import Game
+from game import Directions
+from game import Actions
+from util import nearestPoint
+from util import manhattanDistance
+import util, layout
+import sys, types, time, random, os
+
+###################################################
+# YOUR INTERFACE TO THE PACMAN WORLD: A GameState #
+###################################################
+
+class GameState:
+    """
+    A GameState specifies the full game state, including the food, capsules,
+    agent configurations and score changes.
+
+    GameStates are used by the Game object to capture the actual state of the game and
+    can be used by agents to reason about the game.
+
+    Much of the information in a GameState is stored in a GameStateData object.  We
+    strongly suggest that you access that data via the accessor methods below rather
+    than referring to the GameStateData object directly.
+
+    Note that in classic Pacman, Pacman is always agent 0.
+    """
+
+    ####################################################
+    # Accessor methods: use these to access state data #
+    ####################################################
+
+    # static variable keeps track of which states have had getLegalActions called
+    explored = set()
+    def getAndResetExplored():
+        tmp = GameState.explored.copy()
+        GameState.explored = set()
+        return tmp
+    getAndResetExplored = staticmethod(getAndResetExplored)
+
+    def getLegalActions( self, agentIndex=0 ):
+        """
+        Returns the legal actions for the agent specified.
+        """
+#        GameState.explored.add(self)
+        if self.isWin() or self.isLose(): return []
+
+        if agentIndex == 0:  # Pacman is moving
+            return PacmanRules.getLegalActions( self )
+        else:
+            return GhostRules.getLegalActions( self, agentIndex )
+
+    def generateSuccessor( self, agentIndex, action):
+        """
+        Returns the successor state after the specified agent takes the action.
+        """
+        # Check that successors exist
+        if self.isWin() or self.isLose(): raise Exception('Can\'t generate a successor of a terminal state.')
+
+        # Copy current state
+        state = GameState(self)
+
+        # Let agent's logic deal with its action's effects on the board
+        if agentIndex == 0:  # Pacman is moving
+            state.data._eaten = [False for i in range(state.getNumAgents())]
+            PacmanRules.applyAction( state, action )
+        else:                # A ghost is moving
+            GhostRules.applyAction( state, action, agentIndex )
+
+        # Time passes
+        if agentIndex == 0:
+            state.data.scoreChange += -TIME_PENALTY # Penalty for waiting around
+        else:
+            GhostRules.decrementTimer( state.data.agentStates[agentIndex] )
+
+        # Resolve multi-agent effects
+        GhostRules.checkDeath( state, agentIndex )
+
+        # Book keeping
+        state.data._agentMoved = agentIndex
+        state.data.score += state.data.scoreChange
+        GameState.explored.add(self)
+        GameState.explored.add(state)
+        return state
+
+    def getLegalPacmanActions( self ):
+        return self.getLegalActions( 0 )
+
+    def generatePacmanSuccessor( self, action ):
+        """
+        Generates the successor state after the specified pacman move
+        """
+        return self.generateSuccessor( 0, action )
+
+    def getPacmanState( self ):
+        """
+        Returns an AgentState object for pacman (in game.py)
+
+        state.pos gives the current position
+        state.direction gives the travel vector
+        """
+        return self.data.agentStates[0].copy()
+
+    def getPacmanPosition( self ):
+        return self.data.agentStates[0].getPosition()
+
+    def getGhostStates( self ):
+        return self.data.agentStates[1:]
+
+    def getGhostState( self, agentIndex ):
+        if agentIndex == 0 or agentIndex >= self.getNumAgents():
+            raise Exception("Invalid index passed to getGhostState")
+        return self.data.agentStates[agentIndex]
+
+    def getGhostPosition( self, agentIndex ):
+        if agentIndex == 0:
+            raise Exception("Pacman's index passed to getGhostPosition")
+        return self.data.agentStates[agentIndex].getPosition()
+
+    def getGhostPositions(self):
+        return [s.getPosition() for s in self.getGhostStates()]
+
+    def getNumAgents( self ):
+        return len( self.data.agentStates )
+
+    def getScore( self ):
+        return float(self.data.score)
+
+    def getCapsules(self):
+        """
+        Returns a list of positions (x,y) of the remaining capsules.
+        """
+        return self.data.capsules
+
+    def getNumFood( self ):
+        return self.data.food.count()
+
+    def getFood(self):
+        """
+        Returns a Grid of boolean food indicator variables.
+
+        Grids can be accessed via list notation, so to check
+        if there is food at (x,y), just call
+
+        currentFood = state.getFood()
+        if currentFood[x][y] == True: ...
+        """
+        return self.data.food
+
+    def getWalls(self):
+        """
+        Returns a Grid of boolean wall indicator variables.
+
+        Grids can be accessed via list notation, so to check
+        if there is a wall at (x,y), just call
+
+        walls = state.getWalls()
+        if walls[x][y] == True: ...
+        """
+        return self.data.layout.walls
+
+    def hasFood(self, x, y):
+        return self.data.food[x][y]
+
+    def hasWall(self, x, y):
+        return self.data.layout.walls[x][y]
+
+    def isLose( self ):
+        return self.data._lose
+
+    def isWin( self ):
+        return self.data._win
+
+    #############################################
+    #             Helper methods:               #
+    # You shouldn't need to call these directly #
+    #############################################
+
+    def __init__( self, prevState = None ):
+        """
+        Generates a new state by copying information from its predecessor.
+        """
+        if prevState != None: # Initial state
+            self.data = GameStateData(prevState.data)
+        else:
+            self.data = GameStateData()
+
+    def deepCopy( self ):
+        state = GameState( self )
+        state.data = self.data.deepCopy()
+        return state
+
+    def __eq__( self, other ):
+        """
+        Allows two states to be compared.
+        """
+        return hasattr(other, 'data') and self.data == other.data
+
+    def __hash__( self ):
+        """
+        Allows states to be keys of dictionaries.
+        """
+        return hash( self.data )
+
+    def __str__( self ):
+
+        return str(self.data)
+
+    def initialize( self, layout, numGhostAgents=1000 ):
+        """
+        Creates an initial game state from a layout array (see layout.py).
+        """
+        self.data.initialize(layout, numGhostAgents)
+
+############################################################################
+#                     THE HIDDEN SECRETS OF PACMAN                         #
+#                                                                          #
+# You shouldn't need to look through the code in this section of the file. #
+############################################################################
+
+SCARED_TIME = 40    # Moves ghosts are scared
+COLLISION_TOLERANCE = 0.7 # How close ghosts must be to Pacman to kill
+TIME_PENALTY = 1 # Number of points lost each round
+
+class ClassicGameRules:
+    """
+    These game rules manage the control flow of a game, deciding when
+    and how the game starts and ends.
+    """
+    def __init__(self, timeout=30):
+        self.timeout = timeout
+
+    def newGame( self, layout, pacmanAgent, ghostAgents, display, quiet = False, catchExceptions=False):
+        agents = [pacmanAgent] + ghostAgents[:layout.getNumGhosts()]
+        initState = GameState()
+        initState.initialize( layout, len(ghostAgents) )
+        game = Game(agents, display, self, catchExceptions=catchExceptions)
+        game.state = initState
+        self.initialState = initState.deepCopy()
+        self.quiet = quiet
+        return game
+
+    def process(self, state, game):
+        """
+        Checks to see whether it is time to end the game.
+        """
+        if state.isWin(): self.win(state, game)
+        if state.isLose(): self.lose(state, game)
+
+    def win( self, state, game ):
+        if not self.quiet: print("Pacman emerges victorious! Score: %d" % state.data.score)
+        game.gameOver = True
+
+    def lose( self, state, game ):
+        if not self.quiet: print("Pacman died! Score: %d" % state.data.score)
+        game.gameOver = True
+
+    def getProgress(self, game):
+        return float(game.state.getNumFood()) / self.initialState.getNumFood()
+
+    def agentCrash(self, game, agentIndex):
+        if agentIndex == 0:
+            print("Pacman crashed")
+        else:
+            print("A ghost crashed")
+
+    def getMaxTotalTime(self, agentIndex):
+        return self.timeout
+
+    def getMaxStartupTime(self, agentIndex):
+        return self.timeout
+
+    def getMoveWarningTime(self, agentIndex):
+        return self.timeout
+
+    def getMoveTimeout(self, agentIndex):
+        return self.timeout
+
+    def getMaxTimeWarnings(self, agentIndex):
+        return 0
+
+class PacmanRules:
+    """
+    These functions govern how pacman interacts with his environment under
+    the classic game rules.
+    """
+    PACMAN_SPEED=1
+
+    def getLegalActions( state ):
+        """
+        Returns a list of possible actions.
+        """
+        return Actions.getPossibleActions( state.getPacmanState().configuration, state.data.layout.walls )
+    getLegalActions = staticmethod( getLegalActions )
+
+    def applyAction( state, action ):
+        """
+        Edits the state to reflect the results of the action.
+        """
+        legal = PacmanRules.getLegalActions( state )
+        if action not in legal:
+            raise Exception("Illegal action " + str(action))
+
+        pacmanState = state.data.agentStates[0]
+
+        # Update Configuration
+        vector = Actions.directionToVector( action, PacmanRules.PACMAN_SPEED )
+        pacmanState.configuration = pacmanState.configuration.generateSuccessor( vector )
+
+        # Eat
+        next = pacmanState.configuration.getPosition()
+        nearest = nearestPoint( next )
+        if manhattanDistance( nearest, next ) <= 0.5 :
+            # Remove food
+            PacmanRules.consume( nearest, state )
+    applyAction = staticmethod( applyAction )
+
+    def consume( position, state ):
+        x,y = position
+        # Eat food
+        if state.data.food[x][y]:
+            state.data.scoreChange += 10
+            state.data.food = state.data.food.copy()
+            state.data.food[x][y] = False
+            state.data._foodEaten = position
+            # TODO: cache numFood?
+            numFood = state.getNumFood()
+            if numFood == 0 and not state.data._lose:
+                state.data.scoreChange += 500
+                state.data._win = True
+        # Eat capsule
+        if( position in state.getCapsules() ):
+            state.data.capsules.remove( position )
+            state.data._capsuleEaten = position
+            # Reset all ghosts' scared timers
+            for index in range( 1, len( state.data.agentStates ) ):
+                state.data.agentStates[index].scaredTimer = SCARED_TIME
+    consume = staticmethod( consume )
+
+class GhostRules:
+    """
+    These functions dictate how ghosts interact with their environment.
+    """
+    GHOST_SPEED=1.0
+    def getLegalActions( state, ghostIndex ):
+        """
+        Ghosts cannot stop, and cannot turn around unless they
+        reach a dead end, but can turn 90 degrees at intersections.
+        """
+        conf = state.getGhostState( ghostIndex ).configuration
+        possibleActions = Actions.getPossibleActions( conf, state.data.layout.walls )
+        reverse = Actions.reverseDirection( conf.direction )
+        if Directions.STOP in possibleActions:
+            possibleActions.remove( Directions.STOP )
+        if reverse in possibleActions and len( possibleActions ) > 1:
+            possibleActions.remove( reverse )
+        return possibleActions
+    getLegalActions = staticmethod( getLegalActions )
+
+    def applyAction( state, action, ghostIndex):
+
+        legal = GhostRules.getLegalActions( state, ghostIndex )
+        if action not in legal:
+            raise Exception("Illegal ghost action " + str(action))
+
+        ghostState = state.data.agentStates[ghostIndex]
+        speed = GhostRules.GHOST_SPEED
+        if ghostState.scaredTimer > 0: speed /= 2.0
+        vector = Actions.directionToVector( action, speed )
+        ghostState.configuration = ghostState.configuration.generateSuccessor( vector )
+    applyAction = staticmethod( applyAction )
+
+    def decrementTimer( ghostState):
+        timer = ghostState.scaredTimer
+        if timer == 1:
+            ghostState.configuration.pos = nearestPoint( ghostState.configuration.pos )
+        ghostState.scaredTimer = max( 0, timer - 1 )
+    decrementTimer = staticmethod( decrementTimer )
+
+    def checkDeath( state, agentIndex):
+        pacmanPosition = state.getPacmanPosition()
+        if agentIndex == 0: # Pacman just moved; Anyone can kill him
+            for index in range( 1, len( state.data.agentStates ) ):
+                ghostState = state.data.agentStates[index]
+                ghostPosition = ghostState.configuration.getPosition()
+                if GhostRules.canKill( pacmanPosition, ghostPosition ):
+                    GhostRules.collide( state, ghostState, index )
+        else:
+            ghostState = state.data.agentStates[agentIndex]
+            ghostPosition = ghostState.configuration.getPosition()
+            if GhostRules.canKill( pacmanPosition, ghostPosition ):
+                GhostRules.collide( state, ghostState, agentIndex )
+    checkDeath = staticmethod( checkDeath )
+
+    def collide( state, ghostState, agentIndex):
+        if ghostState.scaredTimer > 0:
+            state.data.scoreChange += 200
+            GhostRules.placeGhost(state, ghostState)
+            ghostState.scaredTimer = 0
+            # Added for first-person
+            state.data._eaten[agentIndex] = True
+        else:
+            if not state.data._win:
+                state.data.scoreChange -= 500
+                state.data._lose = True
+    collide = staticmethod( collide )
+
+    def canKill( pacmanPosition, ghostPosition ):
+        return manhattanDistance( ghostPosition, pacmanPosition ) <= COLLISION_TOLERANCE
+    canKill = staticmethod( canKill )
+
+    def placeGhost(state, ghostState):
+        ghostState.configuration = ghostState.start
+    placeGhost = staticmethod( placeGhost )
+
+#############################
+# FRAMEWORK TO START A GAME #
+#############################
+
+def default(str):
+    return str + ' [Default: %default]'
+
+def parseAgentArgs(str):
+    if str == None: return {}
+    pieces = str.split(',')
+    opts = {}
+    for p in pieces:
+        if '=' in p:
+            key, val = p.split('=')
+        else:
+            key,val = p, 1
+        opts[key] = val
+    return opts
+
+def readCommand( argv ):
+    """
+    Processes the command used to run pacman from the command line.
+    """
+    from optparse import OptionParser
+    usageStr = """
+    USAGE:      python pacman.py 
+    EXAMPLES:   (1) python pacman.py
+                    - starts an interactive game
+                (2) python pacman.py --layout smallClassic --zoom 2
+                OR  python pacman.py -l smallClassic -z 2
+                    - starts an interactive game on a smaller board, zoomed in
+    """
+    parser = OptionParser(usageStr)
+
+    parser.add_option('-n', '--numGames', dest='numGames', type='int',
+                      help=default('the number of GAMES to play'), metavar='GAMES', default=1)
+    parser.add_option('-l', '--layout', dest='layout',
+                      help=default('the LAYOUT_FILE from which to load the map layout'),
+                      metavar='LAYOUT_FILE', default='mediumClassic')
+    parser.add_option('-p', '--pacman', dest='pacman',
+                      help=default('the agent TYPE in the pacmanAgents module to use'),
+                      metavar='TYPE', default='KeyboardAgent')
+    parser.add_option('-t', '--textGraphics', action='store_true', dest='textGraphics',
+                      help='Display output as text only', default=False)
+    parser.add_option('-q', '--quietTextGraphics', action='store_true', dest='quietGraphics',
+                      help='Generate minimal output and no graphics', default=False)
+    parser.add_option('-g', '--ghosts', dest='ghost',
+                      help=default('the ghost agent TYPE in the ghostAgents module to use'),
+                      metavar = 'TYPE', default='RandomGhost')
+    parser.add_option('-k', '--numghosts', type='int', dest='numGhosts',
+                      help=default('The maximum number of ghosts to use'), default=4)
+    parser.add_option('-z', '--zoom', type='float', dest='zoom',
+                      help=default('Zoom the size of the graphics window'), default=1.0)
+    parser.add_option('-f', '--fixRandomSeed', action='store_true', dest='fixRandomSeed',
+                      help='Fixes the random seed to always play the same game', default=False)
+    parser.add_option('-r', '--recordActions', action='store_true', dest='record',
+                      help='Writes game histories to a file (named by the time they were played)', default=False)
+    parser.add_option('--replay', dest='gameToReplay',
+                      help='A recorded game file (pickle) to replay', default=None)
+    parser.add_option('-a','--agentArgs',dest='agentArgs',
+                      help='Comma separated values sent to agent. e.g. "opt1=val1,opt2,opt3=val3"')
+    parser.add_option('-x', '--numTraining', dest='numTraining', type='int',
+                      help=default('How many episodes are training (suppresses output)'), default=0)
+    parser.add_option('--frameTime', dest='frameTime', type='float',
+                      help=default('Time to delay between frames; <0 means keyboard'), default=0.1)
+    parser.add_option('-c', '--catchExceptions', action='store_true', dest='catchExceptions',
+                      help='Turns on exception handling and timeouts during games', default=False)
+    parser.add_option('--timeout', dest='timeout', type='int',
+                      help=default('Maximum length of time an agent can spend computing in a single game'), default=30)
+
+    options, otherjunk = parser.parse_args(argv)
+    if len(otherjunk) != 0:
+        raise Exception('Command line input not understood: ' + str(otherjunk))
+    args = dict()
+
+    # Fix the random seed
+    if options.fixRandomSeed: random.seed('cs188')
+
+    # Choose a layout
+    args['layout'] = layout.getLayout( options.layout )
+    if args['layout'] == None: raise Exception("The layout " + options.layout + " cannot be found")
+
+    # Choose a Pacman agent
+    noKeyboard = options.gameToReplay == None and (options.textGraphics or options.quietGraphics)
+    pacmanType = loadAgent(options.pacman, noKeyboard)
+    agentOpts = parseAgentArgs(options.agentArgs)
+    if options.numTraining > 0:
+        args['numTraining'] = options.numTraining
+        if 'numTraining' not in agentOpts: agentOpts['numTraining'] = options.numTraining
+    pacman = pacmanType(**agentOpts) # Instantiate Pacman with agentArgs
+    args['pacman'] = pacman
+
+    # Don't display training games
+    if 'numTrain' in agentOpts:
+        options.numQuiet = int(agentOpts['numTrain'])
+        options.numIgnore = int(agentOpts['numTrain'])
+
+    # Choose a ghost agent
+    ghostType = loadAgent(options.ghost, noKeyboard)
+    args['ghosts'] = [ghostType( i+1 ) for i in range( options.numGhosts )]
+
+    # Choose a display format
+    if options.quietGraphics:
+        import textDisplay
+        args['display'] = textDisplay.NullGraphics()
+    elif options.textGraphics:
+        import textDisplay
+        textDisplay.SLEEP_TIME = options.frameTime
+        args['display'] = textDisplay.PacmanGraphics()
+    else:
+        import graphicsDisplay
+        args['display'] = graphicsDisplay.PacmanGraphics(options.zoom, frameTime = options.frameTime)
+    args['numGames'] = options.numGames
+    args['record'] = options.record
+    args['catchExceptions'] = options.catchExceptions
+    args['timeout'] = options.timeout
+
+    # Special case: recorded games don't use the runGames method or args structure
+    if options.gameToReplay != None:
+        print('Replaying recorded game %s.' % options.gameToReplay)
+        import pickle
+        f = open(options.gameToReplay)
+        try: recorded = pickle.load(f)
+        finally: f.close()
+        recorded['display'] = args['display']
+        replayGame(**recorded)
+        sys.exit(0)
+
+    return args
+
+def loadAgent(pacman, nographics):
+    # Looks through all pythonPath Directories for the right module,
+    pythonPathStr = os.path.expandvars("$PYTHONPATH")
+    if pythonPathStr.find(';') == -1:
+        pythonPathDirs = pythonPathStr.split(':')
+    else:
+        pythonPathDirs = pythonPathStr.split(';')
+    pythonPathDirs.append('.')
+
+    for moduleDir in pythonPathDirs:
+        if not os.path.isdir(moduleDir): continue
+        moduleNames = [f for f in os.listdir(moduleDir) if f.endswith('gents.py')]
+        for modulename in moduleNames:
+            try:
+                module = __import__(modulename[:-3])
+            except ImportError:
+                continue
+            if pacman in dir(module):
+                if nographics and modulename == 'keyboardAgents.py':
+                    raise Exception('Using the keyboard requires graphics (not text display)')
+                return getattr(module, pacman)
+    raise Exception('The agent ' + pacman + ' is not specified in any *Agents.py.')
+
+def replayGame( layout, actions, display ):
+    import pacmanAgents, ghostAgents
+    rules = ClassicGameRules()
+    agents = [pacmanAgents.GreedyAgent()] + [ghostAgents.RandomGhost(i+1) for i in range(layout.getNumGhosts())]
+    game = rules.newGame( layout, agents[0], agents[1:], display )
+    state = game.state
+    display.initialize(state.data)
+
+    for action in actions:
+            # Execute the action
+        state = state.generateSuccessor( *action )
+        # Change the display
+        display.update( state.data )
+        # Allow for game specific conditions (winning, losing, etc.)
+        rules.process(state, game)
+
+    display.finish()
+
+def runGames( layout, pacman, ghosts, display, numGames, record, numTraining = 0, catchExceptions=False, timeout=30 ):
+    import __main__
+    __main__.__dict__['_display'] = display
+
+    rules = ClassicGameRules(timeout)
+    games = []
+
+    for i in range( numGames ):
+        beQuiet = i < numTraining
+        if beQuiet:
+                # Suppress output and graphics
+            import textDisplay
+            gameDisplay = textDisplay.NullGraphics()
+            rules.quiet = True
+        else:
+            gameDisplay = display
+            rules.quiet = False
+        game = rules.newGame( layout, pacman, ghosts, gameDisplay, beQuiet, catchExceptions)
+        game.run()
+        if not beQuiet: games.append(game)
+
+        if record:
+            import time, pickle
+            fname = ('recorded-game-%d' % (i + 1)) +  '-'.join([str(t) for t in time.localtime()[1:6]])
+            f = open(fname, 'w')
+            components = {'layout': layout, 'actions': game.moveHistory}
+            pickle.dump(components, f)
+            f.close()
+
+    if (numGames-numTraining) > 0:
+        scores = [game.state.getScore() for game in games]
+        wins = [game.state.isWin() for game in games]
+        winRate = wins.count(True)/ float(len(wins))
+        print('Average Score:', sum(scores) / float(len(scores)))
+        print('Scores:       ', ', '.join([str(score) for score in scores]))
+        print('Win Rate:      %d/%d (%.2f)' % (wins.count(True), len(wins), winRate))
+        print('Record:       ', ', '.join([ ['Loss', 'Win'][int(w)] for w in wins]))
+
+    return games
+
+if __name__ == '__main__':
+    """
+    The main function called when pacman.py is run
+    from the command line:
+
+    > python pacman.py
+
+    See the usage string for more details.
+
+    > python pacman.py --help
+    """
+    args = readCommand( sys.argv[1:] ) # Get game components based on input
+    runGames( **args )
+
+    # import cProfile
+    # cProfile.run("runGames( **args )")
+    pass
diff --git a/tracking/pacmanAgents.py b/tracking/pacmanAgents.py
new file mode 100644
index 0000000..96402a2
--- /dev/null
+++ b/tracking/pacmanAgents.py
@@ -0,0 +1,52 @@
+# pacmanAgents.py
+# ---------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from pacman import Directions
+from game import Agent
+import random
+import game
+import util
+
+class LeftTurnAgent(game.Agent):
+    "An agent that turns left at every opportunity"
+
+    def getAction(self, state):
+        legal = state.getLegalPacmanActions()
+        current = state.getPacmanState().configuration.direction
+        if current == Directions.STOP: current = Directions.NORTH
+        left = Directions.LEFT[current]
+        if left in legal: return left
+        if current in legal: return current
+        if Directions.RIGHT[current] in legal: return Directions.RIGHT[current]
+        if Directions.LEFT[left] in legal: return Directions.LEFT[left]
+        return Directions.STOP
+
+class GreedyAgent(Agent):
+    def __init__(self, evalFn="scoreEvaluation"):
+        self.evaluationFunction = util.lookup(evalFn, globals())
+        assert self.evaluationFunction != None
+
+    def getAction(self, state):
+        # Generate candidate actions
+        legal = state.getLegalPacmanActions()
+        if Directions.STOP in legal: legal.remove(Directions.STOP)
+
+        successors = [(state.generateSuccessor(action), action) for action in legal]
+        scored = [(self.evaluationFunction(state), action) for state, action in successors]
+        bestScore = max(scored)[0]
+        bestActions = [pair[1] for pair in scored if pair[0] == bestScore]
+        return random.choice(bestActions)
+
+def scoreEvaluation(state):
+    return state.getScore()
diff --git a/tracking/projectParams.py b/tracking/projectParams.py
new file mode 100644
index 0000000..1289a6f
--- /dev/null
+++ b/tracking/projectParams.py
@@ -0,0 +1,18 @@
+# projectParams.py
+# ----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+STUDENT_CODE_DEFAULT = 'factorOperations.py,inference.py,bustersAgents.py'
+PROJECT_TEST_CLASSES = 'bayesHMMTestClasses.py'
+PROJECT_NAME = 'Project 4: Bayes Nets and HMMs'
+BONUS_PIC = False
diff --git a/tracking/testClasses.py b/tracking/testClasses.py
new file mode 100644
index 0000000..b41b79e
--- /dev/null
+++ b/tracking/testClasses.py
@@ -0,0 +1,240 @@
+# testClasses.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# import modules from python standard library
+import inspect
+import re
+import sys
+
+# BEGIN SOLUTION NO PROMPT
+def invertLayout(layout_text):
+    # Keep lower left fix as this is hardcoded in PositionSearchProblem (gah)
+    # as the goal.
+    lines = [l.strip() for l in layout_text.split('\n')]
+    h = len(lines)
+    w = len(lines[0])
+    tiles = {}
+    for y, line in enumerate(lines):
+        for x, tile in enumerate(line):
+            # (x,y)
+            # (0,0) -> (h,w)
+            # (0,h) -> (0,w)
+            tiles[h-1-y, w-1-x] = tile
+
+    new_lines = []
+    for y in range(w):
+        new_lines.append("")
+        for x in range(h):
+            new_lines[-1] += tiles[x,y]
+    #return layout_text
+    return "\n".join(new_lines)
+# END SOLUTION NO PROMPT
+
+# Class which models a question in a project.  Note that questions have a
+# maximum number of points they are worth, and are composed of a series of
+# test cases
+class Question(object):
+
+    def raiseNotDefined(self):
+        print('Method not implemented: %s' % inspect.stack()[1][3])
+        sys.exit(1)
+
+    def __init__(self, questionDict, display):
+        self.maxPoints = int(questionDict['max_points'])
+        self.testCases = []
+        self.display = display
+
+    def getDisplay(self):
+        return self.display
+
+    def getMaxPoints(self):
+        return self.maxPoints
+
+    # Note that 'thunk' must be a function which accepts a single argument,
+    # namely a 'grading' object
+    def addTestCase(self, testCase, thunk):
+        self.testCases.append((testCase, thunk))
+
+    def execute(self, grades):
+        self.raiseNotDefined()
+
+# Question in which all test cases must be passed in order to receive credit
+class PassAllTestsQuestion(Question):
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        testsFailed = False
+        grades.assignZeroCredit()
+        for _, f in self.testCases:
+            if not f(grades):
+                testsFailed = True
+        if testsFailed:
+            grades.fail("Tests failed.")
+        else:
+            grades.assignFullCredit()
+
+class ExtraCreditPassAllTestsQuestion(Question):
+    def __init__(self, questionDict, display):
+        Question.__init__(self, questionDict, display)
+        self.extraPoints = int(questionDict['extra_points'])
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        testsFailed = False
+        grades.assignZeroCredit()
+        for _, f in self.testCases:
+            if not f(grades):
+                testsFailed = True
+        if testsFailed:
+            grades.fail("Tests failed.")
+        else:
+            grades.assignFullCredit()
+            grades.addPoints(self.extraPoints)
+
+# Question in which predict credit is given for test cases with a ``points'' property.
+# All other tests are mandatory and must be passed.
+class HackedPartialCreditQuestion(Question):
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        grades.assignZeroCredit()
+
+        points = 0
+        passed = True
+        for testCase, f in self.testCases:
+            testResult = f(grades)
+            if "points" in testCase.testDict:
+                if testResult: points += float(testCase.testDict["points"])
+            else:
+                passed = passed and testResult
+
+        ## FIXME: Below terrible hack to match q3's logic
+        if int(points) == self.maxPoints and not passed:
+            grades.assignZeroCredit()
+        else:
+            grades.addPoints(int(points))
+
+
+class Q6PartialCreditQuestion(Question):
+    """Fails any test which returns False, otherwise doesn't effect the grades object.
+    Partial credit tests will add the required points."""
+
+    def execute(self, grades):
+        grades.assignZeroCredit()
+
+        results = []
+        for _, f in self.testCases:
+            results.append(f(grades))
+        if False in results:
+            grades.assignZeroCredit()
+
+class PartialCreditQuestion(Question):
+    """Fails any test which returns False, otherwise doesn't effect the grades object.
+    Partial credit tests will add the required points."""
+
+    def execute(self, grades):
+        grades.assignZeroCredit()
+
+        for _, f in self.testCases:
+            if not f(grades):
+                grades.assignZeroCredit()
+                grades.fail("Tests failed.")
+                return False
+
+
+
+class NumberPassedQuestion(Question):
+    """Grade is the number of test cases passed."""
+
+    def execute(self, grades):
+        grades.addPoints([f(grades) for _, f in self.testCases].count(True))
+
+
+
+
+# BEGIN SOLUTION NO PROMPT
+from testParser import emitTestDict
+# END SOLUTION NO PROMPT
+
+# Template modeling a generic test case
+class TestCase(object):
+
+    def raiseNotDefined(self):
+        print('Method not implemented: %s' % inspect.stack()[1][3])
+        sys.exit(1)
+
+    def getPath(self):
+        return self.path
+
+    def __init__(self, question, testDict):
+        self.question = question
+        self.testDict = testDict
+        self.path = testDict['path']
+        self.messages = []
+
+    def __str__(self):
+        self.raiseNotDefined()
+
+    def execute(self, grades, moduleDict, solutionDict):
+        self.raiseNotDefined()
+
+    def writeSolution(self, moduleDict, filePath):
+        self.raiseNotDefined()
+        return True
+
+    # Tests should call the following messages for grading
+    # to ensure a uniform format for test output.
+    #
+    # TODO: this is hairy, but we need to fix grading.py's interface
+    # to get a nice hierarchical project - question - test structure,
+    # then these should be moved into Question proper.
+    def testPass(self, grades):
+        grades.addMessage('PASS: %s' % (self.path,))
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+        return True
+
+    def testFail(self, grades):
+        grades.addMessage('FAIL: %s' % (self.path,))
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+        return False
+
+    # This should really be question level?
+    #
+    def testPartial(self, grades, points, maxPoints):
+        grades.addPoints(points)
+        extraCredit = max(0, points - maxPoints)
+        regularCredit = points - extraCredit
+
+        grades.addMessage('%s: %s (%s of %s points)' % ("PASS" if points >= maxPoints else "FAIL", self.path, regularCredit, maxPoints))
+        if extraCredit > 0:
+            grades.addMessage('EXTRA CREDIT: %s points' % (extraCredit,))
+
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+
+        return True
+
+    def addMessage(self, message):
+        self.messages.extend(message.split('\n'))
+
+    # BEGIN SOLUTION NO PROMPT
+    def createPublicVersion(self):
+        self.raiseNotDefined()
+
+    def emitPublicVersion(self, filePath):
+        with open(filePath, 'w') as handle:
+            emitTestDict(self.testDict, handle)
+    # END SOLUTION NO PROMPT
diff --git a/tracking/testParser.py b/tracking/testParser.py
new file mode 100644
index 0000000..f9d6129
--- /dev/null
+++ b/tracking/testParser.py
@@ -0,0 +1,85 @@
+# testParser.py
+# -------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import re
+import sys
+
+class TestParser(object):
+
+    def __init__(self, path):
+        # save the path to the test file
+        self.path = path
+
+    def removeComments(self, rawlines):
+        # remove any portion of a line following a '#' symbol
+        fixed_lines = []
+        for l in rawlines:
+            idx = l.find('#')
+            if idx == -1:
+                fixed_lines.append(l)
+            else:
+                fixed_lines.append(l[0:idx])
+        return '\n'.join(fixed_lines)
+
+    def parse(self):
+        # read in the test case and remove comments
+        test = {}
+        with open(self.path) as handle:
+            raw_lines = handle.read().split('\n')
+
+        test_text = self.removeComments(raw_lines)
+        test['__raw_lines__'] = raw_lines
+        test['path'] = self.path
+        test['__emit__'] = []
+        lines = test_text.split('\n')
+        i = 0
+        # read a property in each loop cycle
+        while(i < len(lines)):
+            # skip blank lines
+            if re.match(r'\A\s*\Z', lines[i]):
+                test['__emit__'].append(("raw", raw_lines[i]))
+                i += 1
+                continue
+            m = re.match(r'\A([^"]*?):\s*"([^"]*)"\s*\Z', lines[i])
+            if m:
+                test[m.group(1)] = m.group(2)
+                test['__emit__'].append(("oneline", m.group(1)))
+                i += 1
+                continue
+            m = re.match(r'\A([^"]*?):\s*"""\s*\Z', lines[i])
+            if m:
+                msg = []
+                i += 1
+                while(not re.match(r'\A\s*"""\s*\Z', lines[i])):
+                    msg.append(raw_lines[i])
+                    i += 1
+                test[m.group(1)] = '\n'.join(msg)
+                test['__emit__'].append(("multiline", m.group(1)))
+                i += 1
+                continue
+            print('error parsing test file: %s' % self.path)
+            sys.exit(1)
+        return test
+
+
+def emitTestDict(testDict, handle):
+    for kind, data in testDict['__emit__']:
+        if kind == "raw":
+            handle.write(data + "\n")
+        elif kind == "oneline":
+            handle.write('%s: "%s"\n' % (data, testDict[data]))
+        elif kind == "multiline":
+            handle.write('%s: """\n%s\n"""\n' % (data, testDict[data]))
+        else:
+            raise Exception("Bad __emit__")
diff --git a/tracking/test_cases/CONFIG b/tracking/test_cases/CONFIG
new file mode 100644
index 0000000..5431582
--- /dev/null
+++ b/tracking/test_cases/CONFIG
@@ -0,0 +1 @@
+order: "q1 q2 q3 q4 q5 q6 q7 q8 q9 q10 q11 q12 q13 q14"
diff --git a/tracking/test_cases/q1/1-small-board.solution b/tracking/test_cases/q1/1-small-board.solution
new file mode 100644
index 0000000..dced40d
--- /dev/null
+++ b/tracking/test_cases/q1/1-small-board.solution
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases\q1\1-small-board.test.
+
+solutionString: """
+Variables: Ghost1, Observation1, Observation0, Ghost0, Pacman
+Edges: Ghost1 -> Observation1, Pacman -> Observation1, Ghost0 -> Observation0, Pacman -> Observation0
+{'Pacman': [(0, 0), (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (1, 0), (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (2, 0), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (3, 0), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 10), (4, 0), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (4, 10), (5, 0), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (5, 7), (5, 8), (5, 9), (5, 10), (6, 0), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6), (6, 7), (6, 8), (6, 9), (6, 10), (7, 0), (7, 1), (7, 2), (7, 3), (7, 4), (7, 5), (7, 6), (7, 7), (7, 8), (7, 9), (7, 10), (8, 0), (8, 1), (8, 2), (8, 3), (8, 4), (8, 5), (8, 6), (8, 7), (8, 8), (8, 9), (8, 10), (9, 0), (9, 1), (9, 2), (9, 3), (9, 4), (9, 5), (9, 6), (9, 7), (9, 8), (9, 9), (9, 10), (10, 0), (10, 1), (10, 2), (10, 3), (10, 4), (10, 5), (10, 6), (10, 7), (10, 8), (10, 9), (10, 10), (11, 0), (11, 1), (11, 2), (11, 3), (11, 4), (11, 5), (11, 6), (11, 7), (11, 8), (11, 9), (11, 10), (12, 0), (12, 1), (12, 2), (12, 3), (12, 4), (12, 5), (12, 6), (12, 7), (12, 8), (12, 9), (12, 10), (13, 0), (13, 1), (13, 2), (13, 3), (13, 4), (13, 5), (13, 6), (13, 7), (13, 8), (13, 9), (13, 10), (14, 0), (14, 1), (14, 2), (14, 3), (14, 4), (14, 5), (14, 6), (14, 7), (14, 8), (14, 9), (14, 10)], 'Ghost0': [(0, 0), (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (1, 0), (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (2, 0), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (3, 0), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 10), (4, 0), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (4, 10), (5, 0), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (5, 7), (5, 8), (5, 9), (5, 10), (6, 0), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6), (6, 7), (6, 8), (6, 9), (6, 10), (7, 0), (7, 1), (7, 2), (7, 3), (7, 4), (7, 5), (7, 6), (7, 7), (7, 8), (7, 9), (7, 10), (8, 0), (8, 1), (8, 2), (8, 3), (8, 4), (8, 5), (8, 6), (8, 7), (8, 8), (8, 9), (8, 10), (9, 0), (9, 1), (9, 2), (9, 3), (9, 4), (9, 5), (9, 6), (9, 7), (9, 8), (9, 9), (9, 10), (10, 0), (10, 1), (10, 2), (10, 3), (10, 4), (10, 5), (10, 6), (10, 7), (10, 8), (10, 9), (10, 10), (11, 0), (11, 1), (11, 2), (11, 3), (11, 4), (11, 5), (11, 6), (11, 7), (11, 8), (11, 9), (11, 10), (12, 0), (12, 1), (12, 2), (12, 3), (12, 4), (12, 5), (12, 6), (12, 7), (12, 8), (12, 9), (12, 10), (13, 0), (13, 1), (13, 2), (13, 3), (13, 4), (13, 5), (13, 6), (13, 7), (13, 8), (13, 9), (13, 10), (14, 0), (14, 1), (14, 2), (14, 3), (14, 4), (14, 5), (14, 6), (14, 7), (14, 8), (14, 9), (14, 10)], 'Ghost1': [(0, 0), (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (1, 0), (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (2, 0), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (3, 0), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 10), (4, 0), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (4, 10), (5, 0), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (5, 7), (5, 8), (5, 9), (5, 10), (6, 0), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6), (6, 7), (6, 8), (6, 9), (6, 10), (7, 0), (7, 1), (7, 2), (7, 3), (7, 4), (7, 5), (7, 6), (7, 7), (7, 8), (7, 9), (7, 10), (8, 0), (8, 1), (8, 2), (8, 3), (8, 4), (8, 5), (8, 6), (8, 7), (8, 8), (8, 9), (8, 10), (9, 0), (9, 1), (9, 2), (9, 3), (9, 4), (9, 5), (9, 6), (9, 7), (9, 8), (9, 9), (9, 10), (10, 0), (10, 1), (10, 2), (10, 3), (10, 4), (10, 5), (10, 6), (10, 7), (10, 8), (10, 9), (10, 10), (11, 0), (11, 1), (11, 2), (11, 3), (11, 4), (11, 5), (11, 6), (11, 7), (11, 8), (11, 9), (11, 10), (12, 0), (12, 1), (12, 2), (12, 3), (12, 4), (12, 5), (12, 6), (12, 7), (12, 8), (12, 9), (12, 10), (13, 0), (13, 1), (13, 2), (13, 3), (13, 4), (13, 5), (13, 6), (13, 7), (13, 8), (13, 9), (13, 10), (14, 0), (14, 1), (14, 2), (14, 3), (14, 4), (14, 5), (14, 6), (14, 7), (14, 8), (14, 9), (14, 10)], 'Observation0': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31], 'Observation1': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31]}
+"""
diff --git a/tracking/test_cases/q1/1-small-board.test b/tracking/test_cases/q1/1-small-board.test
new file mode 100644
index 0000000..227747c
--- /dev/null
+++ b/tracking/test_cases/q1/1-small-board.test
@@ -0,0 +1,17 @@
+class: "GraphEqualityTest"
+
+layoutName: "smallBoard"
+layout: """
+%%%%%%%%%%%%%%%
+%             %
+% RBB         %
+% BGB         %
+% B R         %
+%             %
+%         RBR %
+%         B.R %
+%         B R %
+%P            %
+%%%%%%%%%%%%%%%
+"""
+
diff --git a/tracking/test_cases/q1/2-long-bottom.solution b/tracking/test_cases/q1/2-long-bottom.solution
new file mode 100644
index 0000000..8e0c3df
--- /dev/null
+++ b/tracking/test_cases/q1/2-long-bottom.solution
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases\q1\2-long-bottom.test.
+
+solutionString: """
+Variables: Ghost1, Observation1, Observation0, Ghost0, Pacman
+Edges: Ghost1 -> Observation1, Pacman -> Observation1, Ghost0 -> Observation0, Pacman -> Observation0
+{'Pacman': [(0, 0), (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (0, 11), (0, 12), (0, 13), (0, 14), (1, 0), (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (1, 13), (1, 14), (2, 0), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (2, 11), (2, 12), (2, 13), (2, 14), (3, 0), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 10), (3, 11), (3, 12), (3, 13), (3, 14), (4, 0), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (4, 10), (4, 11), (4, 12), (4, 13), (4, 14), (5, 0), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (5, 7), (5, 8), (5, 9), (5, 10), (5, 11), (5, 12), (5, 13), (5, 14), (6, 0), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6), (6, 7), (6, 8), (6, 9), (6, 10), (6, 11), (6, 12), (6, 13), (6, 14), (7, 0), (7, 1), (7, 2), (7, 3), (7, 4), (7, 5), (7, 6), (7, 7), (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (7, 13), (7, 14), (8, 0), (8, 1), (8, 2), (8, 3), (8, 4), (8, 5), (8, 6), (8, 7), (8, 8), (8, 9), (8, 10), (8, 11), (8, 12), (8, 13), (8, 14), (9, 0), (9, 1), (9, 2), (9, 3), (9, 4), (9, 5), (9, 6), (9, 7), (9, 8), (9, 9), (9, 10), (9, 11), (9, 12), (9, 13), (9, 14), (10, 0), (10, 1), (10, 2), (10, 3), (10, 4), (10, 5), (10, 6), (10, 7), (10, 8), (10, 9), (10, 10), (10, 11), (10, 12), (10, 13), (10, 14)], 'Ghost0': [(0, 0), (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (0, 11), (0, 12), (0, 13), (0, 14), (1, 0), (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (1, 13), (1, 14), (2, 0), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (2, 11), (2, 12), (2, 13), (2, 14), (3, 0), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 10), (3, 11), (3, 12), (3, 13), (3, 14), (4, 0), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (4, 10), (4, 11), (4, 12), (4, 13), (4, 14), (5, 0), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (5, 7), (5, 8), (5, 9), (5, 10), (5, 11), (5, 12), (5, 13), (5, 14), (6, 0), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6), (6, 7), (6, 8), (6, 9), (6, 10), (6, 11), (6, 12), (6, 13), (6, 14), (7, 0), (7, 1), (7, 2), (7, 3), (7, 4), (7, 5), (7, 6), (7, 7), (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (7, 13), (7, 14), (8, 0), (8, 1), (8, 2), (8, 3), (8, 4), (8, 5), (8, 6), (8, 7), (8, 8), (8, 9), (8, 10), (8, 11), (8, 12), (8, 13), (8, 14), (9, 0), (9, 1), (9, 2), (9, 3), (9, 4), (9, 5), (9, 6), (9, 7), (9, 8), (9, 9), (9, 10), (9, 11), (9, 12), (9, 13), (9, 14), (10, 0), (10, 1), (10, 2), (10, 3), (10, 4), (10, 5), (10, 6), (10, 7), (10, 8), (10, 9), (10, 10), (10, 11), (10, 12), (10, 13), (10, 14)], 'Ghost1': [(0, 0), (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (0, 11), (0, 12), (0, 13), (0, 14), (1, 0), (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (1, 13), (1, 14), (2, 0), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (2, 11), (2, 12), (2, 13), (2, 14), (3, 0), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 10), (3, 11), (3, 12), (3, 13), (3, 14), (4, 0), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (4, 10), (4, 11), (4, 12), (4, 13), (4, 14), (5, 0), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (5, 7), (5, 8), (5, 9), (5, 10), (5, 11), (5, 12), (5, 13), (5, 14), (6, 0), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6), (6, 7), (6, 8), (6, 9), (6, 10), (6, 11), (6, 12), (6, 13), (6, 14), (7, 0), (7, 1), (7, 2), (7, 3), (7, 4), (7, 5), (7, 6), (7, 7), (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (7, 13), (7, 14), (8, 0), (8, 1), (8, 2), (8, 3), (8, 4), (8, 5), (8, 6), (8, 7), (8, 8), (8, 9), (8, 10), (8, 11), (8, 12), (8, 13), (8, 14), (9, 0), (9, 1), (9, 2), (9, 3), (9, 4), (9, 5), (9, 6), (9, 7), (9, 8), (9, 9), (9, 10), (9, 11), (9, 12), (9, 13), (9, 14), (10, 0), (10, 1), (10, 2), (10, 3), (10, 4), (10, 5), (10, 6), (10, 7), (10, 8), (10, 9), (10, 10), (10, 11), (10, 12), (10, 13), (10, 14)], 'Observation0': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31], 'Observation1': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31]}
+"""
diff --git a/tracking/test_cases/q1/2-long-bottom.test b/tracking/test_cases/q1/2-long-bottom.test
new file mode 100644
index 0000000..6bc55ed
--- /dev/null
+++ b/tracking/test_cases/q1/2-long-bottom.test
@@ -0,0 +1,21 @@
+class: "GraphEqualityTest"
+
+layoutName: "longBottomBoard"
+layout: """
+%%%%%%%%%%%
+%         %
+%         %
+%         %
+%         %
+%         %
+%         %
+%         %
+%         %
+%         %
+% RBR BBR %
+% R.B BGB %
+% B B R R %
+%P        %
+%%%%%%%%%%%
+"""
+
diff --git a/tracking/test_cases/q1/3-wide-inverted.solution b/tracking/test_cases/q1/3-wide-inverted.solution
new file mode 100644
index 0000000..ba4aab2
--- /dev/null
+++ b/tracking/test_cases/q1/3-wide-inverted.solution
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases\q1\3-wide-inverted.test.
+
+solutionString: """
+Variables: Ghost1, Observation1, Observation0, Ghost0, Pacman
+Edges: Ghost1 -> Observation1, Pacman -> Observation1, Ghost0 -> Observation0, Pacman -> Observation0
+{'Pacman': [(0, 0), (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (0, 11), (0, 12), (0, 13), (0, 14), (1, 0), (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (1, 13), (1, 14), (2, 0), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (2, 11), (2, 12), (2, 13), (2, 14), (3, 0), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 10), (3, 11), (3, 12), (3, 13), (3, 14), (4, 0), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (4, 10), (4, 11), (4, 12), (4, 13), (4, 14), (5, 0), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (5, 7), (5, 8), (5, 9), (5, 10), (5, 11), (5, 12), (5, 13), (5, 14), (6, 0), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6), (6, 7), (6, 8), (6, 9), (6, 10), (6, 11), (6, 12), (6, 13), (6, 14), (7, 0), (7, 1), (7, 2), (7, 3), (7, 4), (7, 5), (7, 6), (7, 7), (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (7, 13), (7, 14), (8, 0), (8, 1), (8, 2), (8, 3), (8, 4), (8, 5), (8, 6), (8, 7), (8, 8), (8, 9), (8, 10), (8, 11), (8, 12), (8, 13), (8, 14), (9, 0), (9, 1), (9, 2), (9, 3), (9, 4), (9, 5), (9, 6), (9, 7), (9, 8), (9, 9), (9, 10), (9, 11), (9, 12), (9, 13), (9, 14), (10, 0), (10, 1), (10, 2), (10, 3), (10, 4), (10, 5), (10, 6), (10, 7), (10, 8), (10, 9), (10, 10), (10, 11), (10, 12), (10, 13), (10, 14), (11, 0), (11, 1), (11, 2), (11, 3), (11, 4), (11, 5), (11, 6), (11, 7), (11, 8), (11, 9), (11, 10), (11, 11), (11, 12), (11, 13), (11, 14), (12, 0), (12, 1), (12, 2), (12, 3), (12, 4), (12, 5), (12, 6), (12, 7), (12, 8), (12, 9), (12, 10), (12, 11), (12, 12), (12, 13), (12, 14), (13, 0), (13, 1), (13, 2), (13, 3), (13, 4), (13, 5), (13, 6), (13, 7), (13, 8), (13, 9), (13, 10), (13, 11), (13, 12), (13, 13), (13, 14), (14, 0), (14, 1), (14, 2), (14, 3), (14, 4), (14, 5), (14, 6), (14, 7), (14, 8), (14, 9), (14, 10), (14, 11), (14, 12), (14, 13), (14, 14), (15, 0), (15, 1), (15, 2), (15, 3), (15, 4), (15, 5), (15, 6), (15, 7), (15, 8), (15, 9), (15, 10), (15, 11), (15, 12), (15, 13), (15, 14), (16, 0), (16, 1), (16, 2), (16, 3), (16, 4), (16, 5), (16, 6), (16, 7), (16, 8), (16, 9), (16, 10), (16, 11), (16, 12), (16, 13), (16, 14), (17, 0), (17, 1), (17, 2), (17, 3), (17, 4), (17, 5), (17, 6), (17, 7), (17, 8), (17, 9), (17, 10), (17, 11), (17, 12), (17, 13), (17, 14), (18, 0), (18, 1), (18, 2), (18, 3), (18, 4), (18, 5), (18, 6), (18, 7), (18, 8), (18, 9), (18, 10), (18, 11), (18, 12), (18, 13), (18, 14)], 'Ghost0': [(0, 0), (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (0, 11), (0, 12), (0, 13), (0, 14), (1, 0), (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (1, 13), (1, 14), (2, 0), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (2, 11), (2, 12), (2, 13), (2, 14), (3, 0), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 10), (3, 11), (3, 12), (3, 13), (3, 14), (4, 0), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (4, 10), (4, 11), (4, 12), (4, 13), (4, 14), (5, 0), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (5, 7), (5, 8), (5, 9), (5, 10), (5, 11), (5, 12), (5, 13), (5, 14), (6, 0), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6), (6, 7), (6, 8), (6, 9), (6, 10), (6, 11), (6, 12), (6, 13), (6, 14), (7, 0), (7, 1), (7, 2), (7, 3), (7, 4), (7, 5), (7, 6), (7, 7), (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (7, 13), (7, 14), (8, 0), (8, 1), (8, 2), (8, 3), (8, 4), (8, 5), (8, 6), (8, 7), (8, 8), (8, 9), (8, 10), (8, 11), (8, 12), (8, 13), (8, 14), (9, 0), (9, 1), (9, 2), (9, 3), (9, 4), (9, 5), (9, 6), (9, 7), (9, 8), (9, 9), (9, 10), (9, 11), (9, 12), (9, 13), (9, 14), (10, 0), (10, 1), (10, 2), (10, 3), (10, 4), (10, 5), (10, 6), (10, 7), (10, 8), (10, 9), (10, 10), (10, 11), (10, 12), (10, 13), (10, 14), (11, 0), (11, 1), (11, 2), (11, 3), (11, 4), (11, 5), (11, 6), (11, 7), (11, 8), (11, 9), (11, 10), (11, 11), (11, 12), (11, 13), (11, 14), (12, 0), (12, 1), (12, 2), (12, 3), (12, 4), (12, 5), (12, 6), (12, 7), (12, 8), (12, 9), (12, 10), (12, 11), (12, 12), (12, 13), (12, 14), (13, 0), (13, 1), (13, 2), (13, 3), (13, 4), (13, 5), (13, 6), (13, 7), (13, 8), (13, 9), (13, 10), (13, 11), (13, 12), (13, 13), (13, 14), (14, 0), (14, 1), (14, 2), (14, 3), (14, 4), (14, 5), (14, 6), (14, 7), (14, 8), (14, 9), (14, 10), (14, 11), (14, 12), (14, 13), (14, 14), (15, 0), (15, 1), (15, 2), (15, 3), (15, 4), (15, 5), (15, 6), (15, 7), (15, 8), (15, 9), (15, 10), (15, 11), (15, 12), (15, 13), (15, 14), (16, 0), (16, 1), (16, 2), (16, 3), (16, 4), (16, 5), (16, 6), (16, 7), (16, 8), (16, 9), (16, 10), (16, 11), (16, 12), (16, 13), (16, 14), (17, 0), (17, 1), (17, 2), (17, 3), (17, 4), (17, 5), (17, 6), (17, 7), (17, 8), (17, 9), (17, 10), (17, 11), (17, 12), (17, 13), (17, 14), (18, 0), (18, 1), (18, 2), (18, 3), (18, 4), (18, 5), (18, 6), (18, 7), (18, 8), (18, 9), (18, 10), (18, 11), (18, 12), (18, 13), (18, 14)], 'Ghost1': [(0, 0), (0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (0, 11), (0, 12), (0, 13), (0, 14), (1, 0), (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (1, 13), (1, 14), (2, 0), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (2, 11), (2, 12), (2, 13), (2, 14), (3, 0), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 10), (3, 11), (3, 12), (3, 13), (3, 14), (4, 0), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (4, 10), (4, 11), (4, 12), (4, 13), (4, 14), (5, 0), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (5, 7), (5, 8), (5, 9), (5, 10), (5, 11), (5, 12), (5, 13), (5, 14), (6, 0), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6), (6, 7), (6, 8), (6, 9), (6, 10), (6, 11), (6, 12), (6, 13), (6, 14), (7, 0), (7, 1), (7, 2), (7, 3), (7, 4), (7, 5), (7, 6), (7, 7), (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (7, 13), (7, 14), (8, 0), (8, 1), (8, 2), (8, 3), (8, 4), (8, 5), (8, 6), (8, 7), (8, 8), (8, 9), (8, 10), (8, 11), (8, 12), (8, 13), (8, 14), (9, 0), (9, 1), (9, 2), (9, 3), (9, 4), (9, 5), (9, 6), (9, 7), (9, 8), (9, 9), (9, 10), (9, 11), (9, 12), (9, 13), (9, 14), (10, 0), (10, 1), (10, 2), (10, 3), (10, 4), (10, 5), (10, 6), (10, 7), (10, 8), (10, 9), (10, 10), (10, 11), (10, 12), (10, 13), (10, 14), (11, 0), (11, 1), (11, 2), (11, 3), (11, 4), (11, 5), (11, 6), (11, 7), (11, 8), (11, 9), (11, 10), (11, 11), (11, 12), (11, 13), (11, 14), (12, 0), (12, 1), (12, 2), (12, 3), (12, 4), (12, 5), (12, 6), (12, 7), (12, 8), (12, 9), (12, 10), (12, 11), (12, 12), (12, 13), (12, 14), (13, 0), (13, 1), (13, 2), (13, 3), (13, 4), (13, 5), (13, 6), (13, 7), (13, 8), (13, 9), (13, 10), (13, 11), (13, 12), (13, 13), (13, 14), (14, 0), (14, 1), (14, 2), (14, 3), (14, 4), (14, 5), (14, 6), (14, 7), (14, 8), (14, 9), (14, 10), (14, 11), (14, 12), (14, 13), (14, 14), (15, 0), (15, 1), (15, 2), (15, 3), (15, 4), (15, 5), (15, 6), (15, 7), (15, 8), (15, 9), (15, 10), (15, 11), (15, 12), (15, 13), (15, 14), (16, 0), (16, 1), (16, 2), (16, 3), (16, 4), (16, 5), (16, 6), (16, 7), (16, 8), (16, 9), (16, 10), (16, 11), (16, 12), (16, 13), (16, 14), (17, 0), (17, 1), (17, 2), (17, 3), (17, 4), (17, 5), (17, 6), (17, 7), (17, 8), (17, 9), (17, 10), (17, 11), (17, 12), (17, 13), (17, 14), (18, 0), (18, 1), (18, 2), (18, 3), (18, 4), (18, 5), (18, 6), (18, 7), (18, 8), (18, 9), (18, 10), (18, 11), (18, 12), (18, 13), (18, 14)], 'Observation0': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39], 'Observation1': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39]}
+"""
diff --git a/tracking/test_cases/q1/3-wide-inverted.test b/tracking/test_cases/q1/3-wide-inverted.test
new file mode 100644
index 0000000..d34f147
--- /dev/null
+++ b/tracking/test_cases/q1/3-wide-inverted.test
@@ -0,0 +1,21 @@
+class: "GraphEqualityTest"
+
+layoutName: "wideInvertedBoard"
+layout: """
+%%%%%%%%%%%%%%%%%%%
+%                 %
+%             BRR %
+%             RGB %
+%             R B %
+%                 %
+%                 %
+%                 %
+%                 %
+%                 %
+% BBB             %
+% R.B             %
+% B B             %
+%P                %
+%%%%%%%%%%%%%%%%%%%
+"""
+
diff --git a/tracking/test_cases/q1/CONFIG b/tracking/test_cases/q1/CONFIG
new file mode 100644
index 0000000..3bf6a8c
--- /dev/null
+++ b/tracking/test_cases/q1/CONFIG
@@ -0,0 +1,2 @@
+max_points: "2"
+class: "PassAllTestsQuestion"
diff --git a/tracking/test_cases/q10/1-ParticleUpdate.solution b/tracking/test_cases/q10/1-ParticleUpdate.solution
new file mode 100644
index 0000000..412df78
--- /dev/null
+++ b/tracking/test_cases/q10/1-ParticleUpdate.solution
@@ -0,0 +1,55 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(5, 4): 0.125, (3, 4): 0.125, (1, 4): 0.125, (7, 4): 0.125, (9, 4): 0.125, (5, 2): 0.125, (2, 4): 0.125, (8, 4): 0.125, }, ]
+1 Stop [{(5, 4): 0.222222222222, (5, 2): 0.0, (1, 4): 0.0555555555556, (2, 4): 0.111111111111, (7, 4): 0.222222222222, (9, 4): 0.0555555555556, (3, 4): 0.222222222222, (1, 1): 0.0, (8, 4): 0.111111111111, }, ]
+2 Stop [{(5, 4): 0.603773584906, (5, 2): 0.0, (1, 4): 0.00943396226415, (2, 4): 0.0377358490566, (7, 4): 0.150943396226, (9, 4): 0.00943396226415, (3, 4): 0.150943396226, (1, 1): 0.0, (8, 4): 0.0377358490566, }, ]
+3 Stop [{(5, 4): 0.304761904762, (5, 2): 0.0, (1, 4): 0.0047619047619, (2, 4): 0.0380952380952, (7, 4): 0.304761904762, (9, 4): 0.0047619047619, (3, 4): 0.304761904762, (1, 1): 0.0, (8, 4): 0.0380952380952, }, ]
+4 Stop [{(5, 4): 0.104918032787, (5, 2): 0.0, (1, 4): 0.0016393442623, (2, 4): 0.0262295081967, (7, 4): 0.419672131148, (9, 4): 0.0016393442623, (3, 4): 0.419672131148, (1, 1): 0.0, (8, 4): 0.0262295081967, }, ]
+5 Stop [{(5, 4): 0.326322498407, (5, 2): 0.0, (1, 4): 0.00031867431485, (2, 4): 0.0101975780752, (7, 4): 0.326322498407, (9, 4): 0.00031867431485, (3, 4): 0.326322498407, (1, 1): 0.0, (8, 4): 0.0101975780752, }, ]
+6 Stop [{(5, 4): 0.329843775165, (5, 2): 0.0, (1, 4): 8.05282654212e-05, (2, 4): 0.00515380898695, (7, 4): 0.329843775165, (9, 4): 8.05282654212e-05, (3, 4): 0.329843775165, (1, 1): 0.0, (8, 4): 0.00515380898695, }, ]
+7 Stop [{(5, 4): 0.664921572208, (5, 2): 0.0, (1, 4): 1.01458980134e-05, (2, 4): 0.00129867494572, (7, 4): 0.166230393052, (9, 4): 1.01458980134e-05, (3, 4): 0.166230393052, (1, 1): 0.0, (8, 4): 0.00129867494572, }, ]
+8 Stop [{(5, 4): 0.888501748065, (5, 2): 0.0, (1, 4): 8.47341297212e-07, (2, 4): 0.000216919372086, (7, 4): 0.0555313592541, (9, 4): 8.47341297212e-07, (3, 4): 0.0555313592541, (1, 1): 0.0, (8, 4): 0.000216919372086, }, ]
+9 Stop [{(5, 4): 0.888695652911, (5, 2): 0.0, (1, 4): 2.11881554821e-07, (2, 4): 0.000108483356068, (7, 4): 0.0555434783069, (9, 4): 2.11881554821e-07, (3, 4): 0.0555434783069, (1, 1): 0.0, (8, 4): 0.000108483356068, }, ]
+10 Stop [{(5, 4): 0.969668246473, (5, 2): 0.0, (1, 4): 1.44491828452e-08, (2, 4): 1.47959632335e-05, (7, 4): 0.0151510663511, (9, 4): 1.44491828452e-08, (3, 4): 0.0151510663511, (1, 1): 0.0, (8, 4): 1.47959632335e-05, }, ]
+11 Stop [{(5, 4): 0.992244304412, (5, 2): 0.0, (1, 4): 9.24099520232e-10, (2, 4): 1.89255581744e-06, (7, 4): 0.00387595431411, (9, 4): 9.24099520232e-10, (3, 4): 0.00387595431411, (1, 1): 0.0, (8, 4): 1.89255581744e-06, }, ]
+12 Stop [{(5, 4): 0.998050207166, (5, 2): 0.0, (1, 4): 5.80941680333e-11, (2, 4): 2.37953712264e-07, (7, 4): 0.000974658405435, (9, 4): 5.80941680333e-11, (3, 4): 0.000974658405435, (1, 1): 0.0, (8, 4): 2.37953712264e-07, }, ]
+13 Stop [{(5, 4): 0.998050444742, (5, 2): 0.0, (1, 4): 1.45235454655e-11, (2, 4): 1.18976884454e-07, (7, 4): 0.000974658637444, (9, 4): 1.45235454655e-11, (3, 4): 0.000974658637444, (1, 1): 0.0, (8, 4): 1.18976884454e-07, }, ]
+14 Stop [{(5, 4): 0.999511927277, (5, 2): 0.0, (1, 4): 9.09050802217e-13, (2, 4): 1.48938883435e-08, (7, 4): 0.00024402146662, (9, 4): 9.09050802217e-13, (3, 4): 0.00024402146662, (1, 1): 0.0, (8, 4): 1.48938883435e-08, }, ]
+15 Stop [{(5, 4): 0.999877940862, (5, 2): 0.0, (1, 4): 5.68364806021e-14, (2, 4): 1.86241779637e-09, (7, 4): 6.10277063515e-05, (9, 4): 5.68364806021e-14, (3, 4): 6.10277063515e-05, (1, 1): 0.0, (8, 4): 1.86241779637e-09, }, ]
+16 Stop [{(5, 4): 0.999969482888, (5, 2): 0.0, (1, 4): 3.55260526024e-15, (2, 4): 2.32823538335e-10, (7, 4): 1.52583234083e-05, (9, 4): 3.55260526024e-15, (3, 4): 1.52583234083e-05, (1, 1): 0.0, (8, 4): 2.32823538335e-10, }, ]
+17 Stop [{(5, 4): 0.999992370605, (5, 2): 0.0, (1, 4): 2.22042910859e-16, (2, 4): 2.91036084121e-11, (7, 4): 3.81466816179e-06, (9, 4): 2.22042910859e-16, (3, 4): 3.81466816179e-06, (1, 1): 0.0, (8, 4): 2.91036084121e-11, }, ]
+18 Stop [{(5, 4): 0.999998092648, (5, 2): 0.0, (1, 4): 1.3877761338e-17, (2, 4): 3.63797186818e-12, (7, 4): 9.53672497413e-07, (9, 4): 1.3877761338e-17, (3, 4): 9.53672497413e-07, (1, 1): 0.0, (8, 4): 3.63797186818e-12, }, ]
+19 Stop [{(5, 4): 0.999998092651, (5, 2): 0.0, (1, 4): 3.46944033451e-18, (2, 4): 1.8189859341e-12, (7, 4): 9.53672497417e-07, (9, 4): 3.46944033451e-18, (3, 4): 9.53672497417e-07, (1, 1): 0.0, (8, 4): 1.8189859341e-12, }, ]
+20 Stop [{(5, 4): 0.999992370656, (5, 2): 0.0, (1, 4): 3.46942048235e-18, (2, 4): 3.6379510517e-12, (7, 4): 3.81466816199e-06, (9, 4): 3.46942048235e-18, (3, 4): 3.81466816199e-06, (1, 1): 0.0, (8, 4): 3.6379510517e-12, }, ]
+21 Stop [{(5, 4): 0.999998092654, (5, 2): 0.0, (1, 4): 2.16840020907e-19, (2, 4): 4.54746483526e-13, (7, 4): 9.53672497419e-07, (9, 4): 2.16840020907e-19, (3, 4): 9.53672497419e-07, (1, 1): 0.0, (8, 4): 4.54746483526e-13, }, ]
+22 Stop [{(5, 4): 0.999992370656, (5, 2): 0.0, (1, 4): 3.46942048235e-18, (2, 4): 3.6379510517e-12, (7, 4): 3.81466816199e-06, (9, 4): 3.46942048235e-18, (3, 4): 3.81466816199e-06, (1, 1): 0.0, (8, 4): 3.6379510517e-12, }, ]
+23 Stop [{(5, 4): 0.99999237066, (5, 2): 0.0, (1, 4): 8.67355120591e-19, (2, 4): 1.81897552586e-12, (7, 4): 3.814668162e-06, (9, 4): 8.67355120591e-19, (3, 4): 3.814668162e-06, (1, 1): 0.0, (8, 4): 1.81897552586e-12, }, ]
+24 Stop [{(5, 4): 0.999998092655, (5, 2): 0.0, (1, 4): 5.42100052269e-20, (2, 4): 2.27373241763e-13, (7, 4): 9.5367249742e-07, (9, 4): 5.42100052269e-20, (3, 4): 9.5367249742e-07, (1, 1): 0.0, (8, 4): 2.27373241763e-13, }, ]
+25 Stop [{(5, 4): 0.999998092655, (5, 2): 0.0, (1, 4): 1.35525013067e-20, (2, 4): 1.13686620882e-13, (7, 4): 9.5367249742e-07, (9, 4): 1.35525013067e-20, (3, 4): 9.5367249742e-07, (1, 1): 0.0, (8, 4): 1.13686620882e-13, }, ]
+26 Stop [{(5, 4): 0.999999523163, (5, 2): 0.0, (1, 4): 8.47032543358e-22, (2, 4): 1.42108479389e-14, (7, 4): 2.38418465415e-07, (9, 4): 8.47032543358e-22, (3, 4): 2.38418465415e-07, (1, 1): 0.0, (8, 4): 1.42108479389e-14, }, ]
+27 Stop [{(5, 4): 0.999999880791, (5, 2): 0.0, (1, 4): 5.29395528925e-23, (2, 4): 1.77635662764e-15, (7, 4): 5.960463767e-08, (9, 4): 5.29395528925e-23, (3, 4): 5.960463767e-08, (1, 1): 0.0, (8, 4): 1.77635662764e-15, }, ]
+28 Stop [{(5, 4): 0.999999970198, (5, 2): 0.0, (1, 4): 3.3087223516e-24, (2, 4): 2.22044598308e-16, (7, 4): 1.49011607498e-08, (9, 4): 3.3087223516e-24, (3, 4): 1.49011607498e-08, (1, 1): 0.0, (8, 4): 2.22044598308e-16, }, ]
+29 Stop [{(5, 4): 0.999999970198, (5, 2): 0.0, (1, 4): 8.27180587901e-25, (2, 4): 1.11022299154e-16, (7, 4): 1.49011607498e-08, (9, 4): 8.27180587901e-25, (3, 4): 1.49011607498e-08, (1, 1): 0.0, (8, 4): 1.11022299154e-16, }, ]
+30 Stop [{(5, 4): 0.999999992549, (5, 2): 0.0, (1, 4): 5.16987878994e-26, (2, 4): 1.38777877044e-17, (7, 4): 3.72529027071e-09, (9, 4): 5.16987878994e-26, (3, 4): 3.72529027071e-09, (1, 1): 0.0, (8, 4): 1.38777877044e-17, }, ]
+31 Stop [{(5, 4): 0.999999970198, (5, 2): 0.0, (1, 4): 2.06795146975e-25, (2, 4): 1.11022299154e-16, (7, 4): 1.49011607498e-08, (9, 4): 2.06795146975e-25, (3, 4): 1.49011607498e-08, (1, 1): 0.0, (8, 4): 1.11022299154e-16, }, ]
+32 Stop [{(5, 4): 0.999999992549, (5, 2): 0.0, (1, 4): 1.29246969748e-26, (2, 4): 1.38777877044e-17, (7, 4): 3.72529027071e-09, (9, 4): 1.29246969748e-26, (3, 4): 3.72529027071e-09, (1, 1): 0.0, (8, 4): 1.38777877044e-17, }, ]
+33 Stop [{(5, 4): 0.999999998137, (5, 2): 0.0, (1, 4): 8.07793565442e-28, (2, 4): 1.73472347275e-18, (7, 4): 9.31322572881e-10, (9, 4): 8.07793565442e-28, (3, 4): 9.31322572881e-10, (1, 1): 0.0, (8, 4): 1.73472347275e-18, }, ]
+34 Stop [{(5, 4): 0.999999999534, (5, 2): 0.0, (1, 4): 5.04870979106e-29, (2, 4): 2.16840434396e-19, (7, 4): 2.32830643545e-10, (9, 4): 5.04870979106e-29, (3, 4): 2.32830643545e-10, (1, 1): 0.0, (8, 4): 2.16840434396e-19, }, ]
+35 Stop [{(5, 4): 0.999999999884, (5, 2): 0.0, (1, 4): 3.15544362052e-30, (2, 4): 2.7105054309e-20, (7, 4): 5.82076609067e-11, (9, 4): 3.15544362052e-30, (3, 4): 5.82076609067e-11, (1, 1): 0.0, (8, 4): 2.7105054309e-20, }, ]
+36 Stop [{(5, 4): 0.999999999971, (5, 2): 0.0, (1, 4): 1.972152263e-31, (2, 4): 3.38813178892e-21, (7, 4): 1.45519152279e-11, (9, 4): 1.972152263e-31, (3, 4): 1.45519152279e-11, (1, 1): 0.0, (8, 4): 3.38813178892e-21, }, ]
+37 Stop [{(5, 4): 0.999999999993, (5, 2): 0.0, (1, 4): 1.2325951644e-32, (2, 4): 4.23516473624e-22, (7, 4): 3.63797880707e-12, (9, 4): 1.2325951644e-32, (3, 4): 3.63797880707e-12, (1, 1): 0.0, (8, 4): 4.23516473624e-22, }, ]
+38 Stop [{(5, 4): 0.999999999993, (5, 2): 0.0, (1, 4): 3.081487911e-33, (2, 4): 2.11758236812e-22, (7, 4): 3.63797880707e-12, (9, 4): 3.081487911e-33, (3, 4): 3.63797880707e-12, (1, 1): 0.0, (8, 4): 2.11758236812e-22, }, ]
+39 Stop [{(5, 4): 0.999999999998, (5, 2): 0.0, (1, 4): 1.92592994438e-34, (2, 4): 2.64697796016e-23, (7, 4): 9.09494701771e-13, (9, 4): 1.92592994438e-34, (3, 4): 9.09494701771e-13, (1, 1): 0.0, (8, 4): 2.64697796016e-23, }, ]
+40 Stop [{(5, 4): 0.999999999998, (5, 2): 0.0, (1, 4): 4.81482486096e-35, (2, 4): 1.32348898008e-23, (7, 4): 9.09494701771e-13, (9, 4): 4.81482486096e-35, (3, 4): 9.09494701771e-13, (1, 1): 0.0, (8, 4): 1.32348898008e-23, }, ]
+41 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 3.0092655381e-36, (2, 4): 1.65436122511e-24, (7, 4): 2.27373675443e-13, (9, 4): 3.0092655381e-36, (3, 4): 2.27373675443e-13, (1, 1): 0.0, (8, 4): 1.65436122511e-24, }, ]
+42 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 1.88079096132e-37, (2, 4): 2.06795153138e-25, (7, 4): 5.68434188608e-14, (9, 4): 1.88079096132e-37, (3, 4): 5.68434188608e-14, (1, 1): 0.0, (8, 4): 2.06795153138e-25, }, ]
+43 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 7.52316384526e-37, (2, 4): 1.65436122511e-24, (7, 4): 2.27373675443e-13, (9, 4): 7.52316384526e-37, (3, 4): 2.27373675443e-13, (1, 1): 0.0, (8, 4): 1.65436122511e-24, }, ]
+44 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 1.88079096131e-37, (2, 4): 8.27180612553e-25, (7, 4): 2.27373675443e-13, (9, 4): 1.88079096131e-37, (3, 4): 2.27373675443e-13, (1, 1): 0.0, (8, 4): 8.27180612553e-25, }, ]
+45 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 1.17549435082e-38, (2, 4): 1.03397576569e-25, (7, 4): 5.68434188608e-14, (9, 4): 1.17549435082e-38, (3, 4): 5.68434188608e-14, (1, 1): 0.0, (8, 4): 1.03397576569e-25, }, ]
+46 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 7.34683969264e-40, (2, 4): 1.29246970711e-26, (7, 4): 1.42108547152e-14, (9, 4): 7.34683969264e-40, (3, 4): 1.42108547152e-14, (1, 1): 0.0, (8, 4): 1.29246970711e-26, }, ]
+47 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 7.34683969264e-40, (2, 4): 2.58493941423e-26, (7, 4): 5.68434188608e-14, (9, 4): 7.34683969264e-40, (3, 4): 5.68434188608e-14, (1, 1): 0.0, (8, 4): 2.58493941423e-26, }, ]
+48 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 4.5917748079e-41, (2, 4): 3.23117426779e-27, (7, 4): 1.42108547152e-14, (9, 4): 4.5917748079e-41, (3, 4): 1.42108547152e-14, (1, 1): 0.0, (8, 4): 3.23117426779e-27, }, ]
+49 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 1.14794370197e-41, (2, 4): 1.61558713389e-27, (7, 4): 1.42108547152e-14, (9, 4): 1.14794370197e-41, (3, 4): 1.42108547152e-14, (1, 1): 0.0, (8, 4): 1.61558713389e-27, }, ]
+50 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 1.83670992316e-40, (2, 4): 1.29246970711e-26, (7, 4): 5.68434188608e-14, (9, 4): 1.83670992316e-40, (3, 4): 5.68434188608e-14, (1, 1): 0.0, (8, 4): 1.29246970711e-26, }, ]
+51 None [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 4.5917748079e-41, (2, 4): 6.46234853557e-27, (7, 4): 5.68434188608e-14, (9, 4): 4.5917748079e-41, (3, 4): 5.68434188608e-14, (1, 1): 0.0, (8, 4): 6.46234853557e-27, }, ]
+"""
diff --git a/tracking/test_cases/q10/1-ParticleUpdate.test b/tracking/test_cases/q10/1-ParticleUpdate.test
new file mode 100644
index 0000000..a33dcaa
--- /dev/null
+++ b/tracking/test_cases/q10/1-ParticleUpdate.test
@@ -0,0 +1,26 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%
+%   %G%   %
+%%%%%%%%%%%
+%%%%%P%%%%%
+% %%%%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+checkUniform: "False"
+maxMoves: "50"
+numParticles: "5000"
+numGhosts: "1"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+L2Tolerance: "0.05"
+errorMsg: "Particle filter observe test: %d inference errors."
+
diff --git a/tracking/test_cases/q10/2-ParticleUpdate.solution b/tracking/test_cases/q10/2-ParticleUpdate.solution
new file mode 100644
index 0000000..7532ca4
--- /dev/null
+++ b/tracking/test_cases/q10/2-ParticleUpdate.solution
@@ -0,0 +1,105 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(1, 3): 0.0714285714286, (2, 9): 0.0714285714286, (5, 6): 0.0714285714286, (2, 8): 0.0714285714286, (9, 8): 0.0714285714286, (9, 3): 0.0714285714286, (9, 9): 0.0714285714286, (1, 4): 0.0714285714286, (8, 9): 0.0714285714286, (1, 8): 0.0714285714286, (8, 8): 0.0714285714286, (2, 3): 0.0714285714286, (1, 9): 0.0714285714286, (2, 4): 0.0714285714286, }, ]
+1 Stop [{(1, 3): 0.129032258065, (2, 9): 0.0645161290323, (5, 6): 0.0, (2, 8): 0.0322580645161, (9, 8): 0.0645161290323, (9, 3): 0.129032258065, (9, 9): 0.129032258065, (1, 4): 0.0645161290323, (2, 4): 0.0322580645161, (8, 9): 0.0645161290323, (1, 8): 0.0645161290323, (8, 8): 0.0322580645161, (2, 3): 0.0645161290323, (1, 9): 0.129032258065, (1, 1): 0.0, }, ]
+2 Stop [{(1, 3): 0.0769230769231, (2, 9): 0.0769230769231, (5, 6): 0.0, (2, 8): 0.0769230769231, (9, 8): 0.0769230769231, (9, 3): 0.0769230769231, (9, 9): 0.0769230769231, (1, 4): 0.0769230769231, (2, 4): 0.0769230769231, (8, 9): 0.0769230769231, (1, 8): 0.0769230769231, (8, 8): 0.0769230769231, (2, 3): 0.0769230769231, (1, 9): 0.0769230769231, (1, 1): 0.0, }, ]
+3 Stop [{(1, 3): 0.129032258065, (2, 9): 0.0645161290323, (5, 6): 0.0, (2, 8): 0.0322580645161, (9, 8): 0.0645161290323, (9, 3): 0.129032258065, (9, 9): 0.129032258065, (1, 4): 0.0645161290323, (2, 4): 0.0322580645161, (8, 9): 0.0645161290323, (1, 8): 0.0645161290323, (8, 8): 0.0322580645161, (2, 3): 0.0645161290323, (1, 9): 0.129032258065, (1, 1): 0.0, }, ]
+4 Stop [{(1, 3): 0.175824175824, (2, 9): 0.043956043956, (5, 6): 0.0, (2, 8): 0.010989010989, (9, 8): 0.043956043956, (9, 3): 0.175824175824, (9, 9): 0.175824175824, (1, 4): 0.043956043956, (2, 4): 0.010989010989, (8, 9): 0.043956043956, (1, 8): 0.043956043956, (8, 8): 0.010989010989, (2, 3): 0.043956043956, (1, 9): 0.175824175824, (1, 1): 0.0, }, ]
+5 Stop [{(1, 3): 0.208469055375, (2, 9): 0.0260586319218, (5, 6): 0.0, (2, 8): 0.00325732899023, (9, 8): 0.0260586319218, (9, 3): 0.208469055375, (9, 9): 0.208469055375, (1, 4): 0.0260586319218, (2, 4): 0.00325732899023, (8, 9): 0.0260586319218, (1, 8): 0.0260586319218, (8, 8): 0.00325732899023, (2, 3): 0.0260586319218, (1, 9): 0.208469055375, (1, 1): 0.0, }, ]
+6 Stop [{(1, 3): 0.227960819234, (2, 9): 0.0142475512021, (5, 6): 0.0, (2, 8): 0.000890471950134, (9, 8): 0.0142475512021, (9, 3): 0.227960819234, (9, 9): 0.227960819234, (1, 4): 0.0142475512021, (2, 4): 0.000890471950134, (8, 9): 0.0142475512021, (1, 8): 0.0142475512021, (8, 8): 0.000890471950134, (2, 3): 0.0142475512021, (1, 9): 0.227960819234, (1, 1): 0.0, }, ]
+7 Stop [{(1, 3): 0.208469055375, (2, 9): 0.0260586319218, (5, 6): 0.0, (2, 8): 0.00325732899023, (9, 8): 0.0260586319218, (9, 3): 0.208469055375, (9, 9): 0.208469055375, (1, 4): 0.0260586319218, (2, 4): 0.00325732899023, (8, 9): 0.0260586319218, (1, 8): 0.0260586319218, (8, 8): 0.00325732899023, (2, 3): 0.0260586319218, (1, 9): 0.208469055375, (1, 1): 0.0, }, ]
+8 Stop [{(1, 3): 0.180281690141, (2, 9): 0.0450704225352, (5, 6): 0.0, (2, 8): 0.00281690140845, (9, 8): 0.0450704225352, (9, 3): 0.180281690141, (9, 9): 0.180281690141, (1, 4): 0.0450704225352, (2, 4): 0.00281690140845, (8, 9): 0.0450704225352, (1, 8): 0.0450704225352, (8, 8): 0.00281690140845, (2, 3): 0.0450704225352, (1, 9): 0.180281690141, (1, 1): 0.0, }, ]
+9 Stop [{(1, 3): 0.210008203445, (2, 9): 0.0262510254307, (5, 6): 0.0, (2, 8): 0.000820344544709, (9, 8): 0.0262510254307, (9, 3): 0.210008203445, (9, 9): 0.210008203445, (1, 4): 0.0262510254307, (2, 4): 0.000820344544709, (8, 9): 0.0262510254307, (1, 8): 0.0262510254307, (8, 8): 0.000820344544709, (2, 3): 0.0262510254307, (1, 9): 0.210008203445, (1, 1): 0.0, }, ]
+10 Stop [{(1, 3): 0.180281690141, (2, 9): 0.0450704225352, (5, 6): 0.0, (2, 8): 0.00281690140845, (9, 8): 0.0450704225352, (9, 3): 0.180281690141, (9, 9): 0.180281690141, (1, 4): 0.0450704225352, (2, 4): 0.00281690140845, (8, 9): 0.0450704225352, (1, 8): 0.0450704225352, (8, 8): 0.00281690140845, (2, 3): 0.0450704225352, (1, 9): 0.180281690141, (1, 1): 0.0, }, ]
+11 Stop [{(1, 3): 0.139130434783, (2, 9): 0.0695652173913, (5, 6): 0.0, (2, 8): 0.00869565217391, (9, 8): 0.0695652173913, (9, 3): 0.139130434783, (9, 9): 0.139130434783, (1, 4): 0.0695652173913, (2, 4): 0.00869565217391, (8, 9): 0.0695652173913, (1, 8): 0.0695652173913, (8, 8): 0.00869565217391, (2, 3): 0.0695652173913, (1, 9): 0.139130434783, (1, 1): 0.0, }, ]
+12 Stop [{(1, 3): 0.0981595092025, (2, 9): 0.0981595092025, (5, 6): 0.0, (2, 8): 0.00613496932515, (9, 8): 0.0981595092025, (9, 3): 0.0981595092025, (9, 9): 0.0981595092025, (1, 4): 0.0981595092025, (2, 4): 0.00613496932515, (8, 9): 0.0981595092025, (1, 8): 0.0981595092025, (8, 8): 0.00613496932515, (2, 3): 0.0981595092025, (1, 9): 0.0981595092025, (1, 1): 0.0, }, ]
+13 Stop [{(1, 3): 0.141906873614, (2, 9): 0.0709534368071, (5, 6): 0.0, (2, 8): 0.00221729490022, (9, 8): 0.0709534368071, (9, 3): 0.141906873614, (9, 9): 0.141906873614, (1, 4): 0.0709534368071, (2, 4): 0.00221729490022, (8, 9): 0.0709534368071, (1, 8): 0.0709534368071, (8, 8): 0.00221729490022, (2, 3): 0.0709534368071, (1, 9): 0.141906873614, (1, 1): 0.0, }, ]
+14 Stop [{(1, 3): 0.0981595092025, (2, 9): 0.0981595092025, (5, 6): 0.0, (2, 8): 0.00613496932515, (9, 8): 0.0981595092025, (9, 3): 0.0981595092025, (9, 9): 0.0981595092025, (1, 4): 0.0981595092025, (2, 4): 0.00613496932515, (8, 9): 0.0981595092025, (1, 8): 0.0981595092025, (8, 8): 0.00613496932515, (2, 3): 0.0981595092025, (1, 9): 0.0981595092025, (1, 1): 0.0, }, ]
+15 Stop [{(1, 3): 0.141906873614, (2, 9): 0.0709534368071, (5, 6): 0.0, (2, 8): 0.00221729490022, (9, 8): 0.0709534368071, (9, 3): 0.141906873614, (9, 9): 0.141906873614, (1, 4): 0.0709534368071, (2, 4): 0.00221729490022, (8, 9): 0.0709534368071, (1, 8): 0.0709534368071, (8, 8): 0.00221729490022, (2, 3): 0.0709534368071, (1, 9): 0.141906873614, (1, 1): 0.0, }, ]
+16 Stop [{(1, 3): 0.181431608788, (2, 9): 0.045357902197, (5, 6): 0.0, (2, 8): 0.000708717221828, (9, 8): 0.045357902197, (9, 3): 0.181431608788, (9, 9): 0.181431608788, (1, 4): 0.045357902197, (2, 4): 0.000708717221828, (8, 9): 0.045357902197, (1, 8): 0.045357902197, (8, 8): 0.000708717221828, (2, 3): 0.045357902197, (1, 9): 0.181431608788, (1, 1): 0.0, }, ]
+17 Stop [{(1, 3): 0.210396548182, (2, 9): 0.0262995685227, (5, 6): 0.0, (2, 8): 0.000205465379084, (9, 8): 0.0262995685227, (9, 3): 0.210396548182, (9, 9): 0.210396548182, (1, 4): 0.0262995685227, (2, 4): 0.000205465379084, (8, 9): 0.0262995685227, (1, 8): 0.0262995685227, (8, 8): 0.000205465379084, (2, 3): 0.0262995685227, (1, 9): 0.210396548182, (1, 1): 0.0, }, ]
+18 Stop [{(1, 3): 0.22853316967, (2, 9): 0.0142833231044, (5, 6): 0.0, (2, 8): 5.57942308765e-05, (9, 8): 0.0142833231044, (9, 3): 0.22853316967, (9, 9): 0.22853316967, (1, 4): 0.0142833231044, (2, 4): 5.57942308765e-05, (8, 9): 0.0142833231044, (1, 8): 0.0142833231044, (8, 8): 5.57942308765e-05, (2, 3): 0.0142833231044, (1, 9): 0.22853316967, (1, 1): 0.0, }, ]
+19 Stop [{(1, 3): 0.238795528414, (2, 9): 0.00746236026293, (5, 6): 0.0, (2, 8): 1.45749223885e-05, (9, 8): 0.00746236026293, (9, 3): 0.238795528414, (9, 9): 0.238795528414, (1, 4): 0.00746236026293, (2, 4): 1.45749223885e-05, (8, 9): 0.00746236026293, (1, 8): 0.00746236026293, (8, 8): 1.45749223885e-05, (2, 3): 0.00746236026293, (1, 9): 0.238795528414, (1, 1): 0.0, }, ]
+20 Stop [{(1, 3): 0.244272077707, (2, 9): 0.00381675121417, (5, 6): 0.0, (2, 8): 3.72729610758e-06, (9, 8): 0.00381675121417, (9, 3): 0.244272077707, (9, 9): 0.244272077707, (1, 4): 0.00381675121417, (2, 4): 3.72729610758e-06, (8, 9): 0.00381675121417, (1, 8): 0.00381675121417, (8, 8): 3.72729610758e-06, (2, 3): 0.00381675121417, (1, 9): 0.244272077707, (1, 1): 0.0, }, ]
+21 Stop [{(1, 3): 0.238795528414, (2, 9): 0.00746236026293, (5, 6): 0.0, (2, 8): 1.45749223885e-05, (9, 8): 0.00746236026293, (9, 3): 0.238795528414, (9, 9): 0.238795528414, (1, 4): 0.00746236026293, (2, 4): 1.45749223885e-05, (8, 9): 0.00746236026293, (1, 8): 0.00746236026293, (8, 8): 1.45749223885e-05, (2, 3): 0.00746236026293, (1, 9): 0.238795528414, (1, 1): 0.0, }, ]
+22 Stop [{(1, 3): 0.244272077707, (2, 9): 0.00381675121417, (5, 6): 0.0, (2, 8): 3.72729610758e-06, (9, 8): 0.00381675121417, (9, 3): 0.244272077707, (9, 9): 0.244272077707, (1, 4): 0.00381675121417, (2, 4): 3.72729610758e-06, (8, 9): 0.00381675121417, (1, 8): 0.00381675121417, (8, 8): 3.72729610758e-06, (2, 3): 0.00381675121417, (1, 9): 0.244272077707, (1, 1): 0.0, }, ]
+23 Stop [{(1, 3): 0.247103548324, (2, 9): 0.00193049647128, (5, 6): 0.0, (2, 8): 9.42625230118e-07, (9, 8): 0.00193049647128, (9, 3): 0.247103548324, (9, 9): 0.247103548324, (1, 4): 0.00193049647128, (2, 4): 9.42625230118e-07, (8, 9): 0.00193049647128, (1, 8): 0.00193049647128, (8, 8): 9.42625230118e-07, (2, 3): 0.00193049647128, (1, 9): 0.247103548324, (1, 1): 0.0, }, ]
+24 Stop [{(1, 3): 0.244272077707, (2, 9): 0.00381675121417, (5, 6): 0.0, (2, 8): 3.72729610758e-06, (9, 8): 0.00381675121417, (9, 3): 0.244272077707, (9, 9): 0.244272077707, (1, 4): 0.00381675121417, (2, 4): 3.72729610758e-06, (8, 9): 0.00381675121417, (1, 8): 0.00381675121417, (8, 8): 3.72729610758e-06, (2, 3): 0.00381675121417, (1, 9): 0.244272077707, (1, 1): 0.0, }, ]
+25 Stop [{(1, 3): 0.247103548324, (2, 9): 0.00193049647128, (5, 6): 0.0, (2, 8): 9.42625230118e-07, (9, 8): 0.00193049647128, (9, 3): 0.247103548324, (9, 9): 0.247103548324, (1, 4): 0.00193049647128, (2, 4): 9.42625230118e-07, (8, 9): 0.00193049647128, (1, 8): 0.00193049647128, (8, 8): 9.42625230118e-07, (2, 3): 0.00193049647128, (1, 9): 0.247103548324, (1, 1): 0.0, }, ]
+26 Stop [{(1, 3): 0.244272077707, (2, 9): 0.00381675121417, (5, 6): 0.0, (2, 8): 3.72729610758e-06, (9, 8): 0.00381675121417, (9, 3): 0.244272077707, (9, 9): 0.244272077707, (1, 4): 0.00381675121417, (2, 4): 3.72729610758e-06, (8, 9): 0.00381675121417, (1, 8): 0.00381675121417, (8, 8): 3.72729610758e-06, (2, 3): 0.00381675121417, (1, 9): 0.244272077707, (1, 1): 0.0, }, ]
+27 Stop [{(1, 3): 0.23880335963, (2, 9): 0.00746260498843, (5, 6): 0.0, (2, 8): 3.64385009201e-06, (9, 8): 0.00746260498843, (9, 3): 0.23880335963, (9, 9): 0.23880335963, (1, 4): 0.00746260498843, (2, 4): 3.64385009201e-06, (8, 9): 0.00746260498843, (1, 8): 0.00746260498843, (8, 8): 3.64385009201e-06, (2, 3): 0.00746260498843, (1, 9): 0.23880335963, (1, 1): 0.0, }, ]
+28 Stop [{(1, 3): 0.228561862645, (2, 9): 0.0142851164153, (5, 6): 0.0, (2, 8): 1.39503089993e-05, (9, 8): 0.0142851164153, (9, 3): 0.228561862645, (9, 9): 0.228561862645, (1, 4): 0.0142851164153, (2, 4): 1.39503089993e-05, (8, 9): 0.0142851164153, (1, 8): 0.0142851164153, (8, 8): 1.39503089993e-05, (2, 3): 0.0142851164153, (1, 9): 0.228561862645, (1, 1): 0.0, }, ]
+29 Stop [{(1, 3): 0.23880335963, (2, 9): 0.00746260498843, (5, 6): 0.0, (2, 8): 3.64385009201e-06, (9, 8): 0.00746260498843, (9, 3): 0.23880335963, (9, 9): 0.23880335963, (1, 4): 0.00746260498843, (2, 4): 3.64385009201e-06, (8, 9): 0.00746260498843, (1, 8): 0.00746260498843, (8, 8): 3.64385009201e-06, (2, 3): 0.00746260498843, (1, 9): 0.23880335963, (1, 1): 0.0, }, ]
+30 Stop [{(1, 3): 0.228569037015, (2, 9): 0.0142855648134, (5, 6): 0.0, (2, 8): 3.48768672203e-06, (9, 8): 0.0142855648134, (9, 3): 0.228569037015, (9, 9): 0.228569037015, (1, 4): 0.0142855648134, (2, 4): 3.48768672203e-06, (8, 9): 0.0142855648134, (1, 8): 0.0142855648134, (8, 8): 3.48768672203e-06, (2, 3): 0.0142855648134, (1, 9): 0.228569037015, (1, 1): 0.0, }, ]
+31 Stop [{(1, 3): 0.238805317514, (2, 9): 0.00746266617231, (5, 6): 0.0, (2, 8): 9.10969991738e-07, (9, 8): 0.00746266617231, (9, 3): 0.238805317514, (9, 9): 0.238805317514, (1, 4): 0.00746266617231, (2, 4): 9.10969991738e-07, (8, 9): 0.00746266617231, (1, 8): 0.00746266617231, (8, 8): 9.10969991738e-07, (2, 3): 0.00746266617231, (1, 9): 0.238805317514, (1, 1): 0.0, }, ]
+32 Stop [{(1, 3): 0.228569037015, (2, 9): 0.0142855648134, (5, 6): 0.0, (2, 8): 3.48768672203e-06, (9, 8): 0.0142855648134, (9, 3): 0.228569037015, (9, 9): 0.228569037015, (1, 4): 0.0142855648134, (2, 4): 3.48768672203e-06, (8, 9): 0.0142855648134, (1, 8): 0.0142855648134, (8, 8): 3.48768672203e-06, (2, 3): 0.0142855648134, (1, 9): 0.228569037015, (1, 1): 0.0, }, ]
+33 Stop [{(1, 3): 0.21052428694, (2, 9): 0.0263155358674, (5, 6): 0.0, (2, 8): 3.21234568694e-06, (9, 8): 0.0263155358674, (9, 3): 0.21052428694, (9, 9): 0.21052428694, (1, 4): 0.0263155358674, (2, 4): 3.21234568694e-06, (8, 9): 0.0263155358674, (1, 8): 0.0263155358674, (8, 8): 3.21234568694e-06, (2, 3): 0.0263155358674, (1, 9): 0.21052428694, (1, 1): 0.0, }, ]
+34 Stop [{(1, 3): 0.181816668562, (2, 9): 0.0454541671406, (5, 6): 0.0, (2, 8): 2.77430219364e-06, (9, 8): 0.0454541671406, (9, 3): 0.181816668562, (9, 9): 0.181816668562, (1, 4): 0.0454541671406, (2, 4): 2.77430219364e-06, (8, 9): 0.0454541671406, (1, 8): 0.0454541671406, (8, 8): 2.77430219364e-06, (2, 3): 0.0454541671406, (1, 9): 0.181816668562, (1, 1): 0.0, }, ]
+35 Stop [{(1, 3): 0.142856208652, (2, 9): 0.0714281043258, (5, 6): 0.0, (2, 8): 2.17981275408e-06, (9, 8): 0.0714281043258, (9, 3): 0.142856208652, (9, 9): 0.142856208652, (1, 4): 0.0714281043258, (2, 4): 2.17981275408e-06, (8, 9): 0.0714281043258, (1, 8): 0.0714281043258, (8, 8): 2.17981275408e-06, (2, 3): 0.0714281043258, (1, 9): 0.142856208652, (1, 1): 0.0, }, ]
+36 Stop [{(1, 3): 0.181817803502, (2, 9): 0.0454544508755, (5, 6): 0.0, (2, 8): 6.93579877861e-07, (9, 8): 0.0454544508755, (9, 3): 0.181817803502, (9, 9): 0.181817803502, (1, 4): 0.0454544508755, (2, 4): 6.93579877861e-07, (8, 9): 0.0454544508755, (1, 8): 0.0454544508755, (8, 8): 6.93579877861e-07, (2, 3): 0.0454544508755, (1, 9): 0.181817803502, (1, 1): 0.0, }, ]
+37 Stop [{(1, 3): 0.142856208652, (2, 9): 0.0714281043258, (5, 6): 0.0, (2, 8): 2.17981275408e-06, (9, 8): 0.0714281043258, (9, 3): 0.142856208652, (9, 9): 0.142856208652, (1, 4): 0.0714281043258, (2, 4): 2.17981275408e-06, (8, 9): 0.0714281043258, (1, 8): 0.0714281043258, (8, 8): 2.17981275408e-06, (2, 3): 0.0714281043258, (1, 9): 0.142856208652, (1, 1): 0.0, }, ]
+38 Stop [{(1, 3): 0.181817803502, (2, 9): 0.0454544508755, (5, 6): 0.0, (2, 8): 6.93579877861e-07, (9, 8): 0.0454544508755, (9, 3): 0.181817803502, (9, 9): 0.181817803502, (1, 4): 0.0454544508755, (2, 4): 6.93579877861e-07, (8, 9): 0.0454544508755, (1, 8): 0.0454544508755, (8, 8): 6.93579877861e-07, (2, 3): 0.0454544508755, (1, 9): 0.181817803502, (1, 1): 0.0, }, ]
+39 Stop [{(1, 3): 0.210526188985, (2, 9): 0.0263157736232, (5, 6): 0.0, (2, 8): 2.00773419366e-07, (9, 8): 0.0263157736232, (9, 3): 0.210526188985, (9, 9): 0.210526188985, (1, 4): 0.0263157736232, (2, 4): 2.00773419366e-07, (8, 9): 0.0263157736232, (1, 8): 0.0263157736232, (8, 8): 2.00773419366e-07, (2, 3): 0.0263157736232, (1, 9): 0.210526188985, (1, 1): 0.0, }, ]
+40 Stop [{(1, 3): 0.228571391203, (2, 9): 0.0142857119502, (5, 6): 0.0, (2, 8): 5.44956663139e-08, (9, 8): 0.0142857119502, (9, 3): 0.228571391203, (9, 9): 0.228571391203, (1, 4): 0.0142857119502, (2, 4): 5.44956663139e-08, (8, 9): 0.0142857119502, (1, 8): 0.0142857119502, (8, 8): 5.44956663139e-08, (2, 3): 0.0142857119502, (1, 9): 0.228571391203, (1, 1): 0.0, }, ]
+41 Stop [{(1, 3): 0.210526284088, (2, 9): 0.026315785511, (5, 6): 0.0, (2, 8): 5.01933775159e-08, (9, 8): 0.026315785511, (9, 3): 0.210526284088, (9, 9): 0.210526284088, (1, 4): 0.026315785511, (2, 4): 5.01933775159e-08, (8, 9): 0.026315785511, (1, 8): 0.026315785511, (8, 8): 5.01933775159e-08, (2, 3): 0.026315785511, (1, 9): 0.210526284088, (1, 1): 0.0, }, ]
+42 Stop [{(1, 3): 0.228571419229, (2, 9): 0.0142857137018, (5, 6): 0.0, (2, 8): 1.3623918249e-08, (9, 8): 0.0142857137018, (9, 3): 0.228571419229, (9, 9): 0.228571419229, (1, 4): 0.0142857137018, (2, 4): 1.3623918249e-08, (8, 9): 0.0142857137018, (1, 8): 0.0142857137018, (8, 8): 1.3623918249e-08, (2, 3): 0.0142857137018, (1, 9): 0.228571419229, (1, 1): 0.0, }, ]
+43 Stop [{(1, 3): 0.2388059676, (2, 9): 0.0074626864875, (5, 6): 0.0, (2, 8): 3.55848621726e-09, (9, 8): 0.0074626864875, (9, 3): 0.2388059676, (9, 9): 0.2388059676, (1, 4): 0.0074626864875, (2, 4): 3.55848621726e-09, (8, 9): 0.0074626864875, (1, 8): 0.0074626864875, (8, 8): 3.55848621726e-09, (2, 3): 0.0074626864875, (1, 9): 0.2388059676, (1, 1): 0.0, }, ]
+44 Stop [{(1, 3): 0.244274808493, (2, 9): 0.00381679388271, (5, 6): 0.0, (2, 8): 9.09994574239e-10, (9, 8): 0.00381679388271, (9, 3): 0.244274808493, (9, 9): 0.244274808493, (1, 4): 0.00381679388271, (2, 4): 9.09994574239e-10, (8, 9): 0.00381679388271, (1, 8): 0.00381679388271, (8, 8): 9.09994574239e-10, (2, 3): 0.00381679388271, (1, 9): 0.244274808493, (1, 1): 0.0, }, ]
+45 Stop [{(1, 3): 0.2388059676, (2, 9): 0.0074626864875, (5, 6): 0.0, (2, 8): 3.55848621726e-09, (9, 8): 0.0074626864875, (9, 3): 0.2388059676, (9, 9): 0.2388059676, (1, 4): 0.0074626864875, (2, 4): 3.55848621726e-09, (8, 9): 0.0074626864875, (1, 8): 0.0074626864875, (8, 8): 3.55848621726e-09, (2, 3): 0.0074626864875, (1, 9): 0.2388059676, (1, 1): 0.0, }, ]
+46 Stop [{(1, 3): 0.244274808493, (2, 9): 0.00381679388271, (5, 6): 0.0, (2, 8): 9.09994574239e-10, (9, 8): 0.00381679388271, (9, 3): 0.244274808493, (9, 9): 0.244274808493, (1, 4): 0.00381679388271, (2, 4): 9.09994574239e-10, (8, 9): 0.00381679388271, (1, 8): 0.00381679388271, (8, 8): 9.09994574239e-10, (2, 3): 0.00381679388271, (1, 9): 0.244274808493, (1, 1): 0.0, }, ]
+47 Stop [{(1, 3): 0.247104246934, (2, 9): 0.00193050192917, (5, 6): 0.0, (2, 8): 2.30133763453e-10, (9, 8): 0.00193050192917, (9, 3): 0.247104246934, (9, 9): 0.247104246934, (1, 4): 0.00193050192917, (2, 4): 2.30133763453e-10, (8, 9): 0.00193050192917, (1, 8): 0.00193050192917, (8, 8): 2.30133763453e-10, (2, 3): 0.00193050192917, (1, 9): 0.247104246934, (1, 1): 0.0, }, ]
+48 Stop [{(1, 3): 0.244274808493, (2, 9): 0.00381679388271, (5, 6): 0.0, (2, 8): 9.09994574239e-10, (9, 8): 0.00381679388271, (9, 3): 0.244274808493, (9, 9): 0.244274808493, (1, 4): 0.00381679388271, (2, 4): 9.09994574239e-10, (8, 9): 0.00381679388271, (1, 8): 0.00381679388271, (8, 8): 9.09994574239e-10, (2, 3): 0.00381679388271, (1, 9): 0.244274808493, (1, 1): 0.0, }, ]
+49 Stop [{(1, 3): 0.247104246934, (2, 9): 0.00193050192917, (5, 6): 0.0, (2, 8): 2.30133763453e-10, (9, 8): 0.00193050192917, (9, 3): 0.247104246934, (9, 9): 0.247104246934, (1, 4): 0.00193050192917, (2, 4): 2.30133763453e-10, (8, 9): 0.00193050192917, (1, 8): 0.00193050192917, (8, 8): 2.30133763453e-10, (2, 3): 0.00193050192917, (1, 9): 0.247104246934, (1, 1): 0.0, }, ]
+50 Stop [{(1, 3): 0.248543689277, (2, 9): 0.000970873786239, (5, 6): 0.0, (2, 8): 5.78685871505e-11, (9, 8): 0.000970873786239, (9, 3): 0.248543689277, (9, 9): 0.248543689277, (1, 4): 0.000970873786239, (2, 4): 5.78685871505e-11, (8, 9): 0.000970873786239, (1, 8): 0.000970873786239, (8, 8): 5.78685871505e-11, (2, 3): 0.000970873786239, (1, 9): 0.248543689277, (1, 1): 0.0, }, ]
+51 Stop [{(1, 3): 0.249269717613, (2, 9): 0.000486854917213, (5, 6): 0.0, (2, 8): 1.45094071988e-11, (9, 8): 0.000486854917213, (9, 3): 0.249269717613, (9, 9): 0.249269717613, (1, 4): 0.000486854917213, (2, 4): 1.45094071988e-11, (8, 9): 0.000486854917213, (1, 8): 0.000486854917213, (8, 8): 1.45094071988e-11, (2, 3): 0.000486854917213, (1, 9): 0.249269717613, (1, 1): 0.0, }, ]
+52 Stop [{(1, 3): 0.248543689277, (2, 9): 0.000970873786239, (5, 6): 0.0, (2, 8): 5.78685871505e-11, (9, 8): 0.000970873786239, (9, 3): 0.248543689277, (9, 9): 0.248543689277, (1, 4): 0.000970873786239, (2, 4): 5.78685871505e-11, (8, 9): 0.000970873786239, (1, 8): 0.000970873786239, (8, 8): 5.78685871505e-11, (2, 3): 0.000970873786239, (1, 9): 0.248543689277, (1, 1): 0.0, }, ]
+53 Stop [{(1, 3): 0.249269717613, (2, 9): 0.000486854917213, (5, 6): 0.0, (2, 8): 1.45094071988e-11, (9, 8): 0.000486854917213, (9, 3): 0.249269717613, (9, 9): 0.249269717613, (1, 4): 0.000486854917213, (2, 4): 1.45094071988e-11, (8, 9): 0.000486854917213, (1, 8): 0.000486854917213, (8, 8): 1.45094071988e-11, (2, 3): 0.000486854917213, (1, 9): 0.249269717613, (1, 1): 0.0, }, ]
+54 Stop [{(1, 3): 0.249634324717, (2, 9): 0.000243783520231, (5, 6): 0.0, (2, 8): 3.63265753137e-12, (9, 8): 0.000243783520231, (9, 3): 0.249634324717, (9, 9): 0.249634324717, (1, 4): 0.000243783520231, (2, 4): 3.63265753137e-12, (8, 9): 0.000243783520231, (1, 8): 0.000243783520231, (8, 8): 3.63265753137e-12, (2, 3): 0.000243783520231, (1, 9): 0.249634324717, (1, 1): 0.0, }, ]
+55 Stop [{(1, 3): 0.249817028543, (2, 9): 0.000121980970968, (5, 6): 0.0, (2, 8): 9.0882905549e-13, (9, 8): 0.000121980970968, (9, 3): 0.249817028543, (9, 9): 0.249817028543, (1, 4): 0.000121980970968, (2, 4): 9.0882905549e-13, (8, 9): 0.000121980970968, (1, 8): 0.000121980970968, (8, 8): 9.0882905549e-13, (2, 3): 0.000121980970968, (1, 9): 0.249817028543, (1, 1): 0.0, }, ]
+56 Stop [{(1, 3): 0.249908480781, (2, 9): 6.10128126906e-05, (5, 6): 0.0, (2, 8): 2.27290439198e-13, (9, 8): 6.10128126906e-05, (9, 3): 0.249908480781, (9, 9): 0.249908480781, (1, 4): 6.10128126906e-05, (2, 4): 2.27290439198e-13, (8, 9): 6.10128126906e-05, (1, 8): 6.10128126906e-05, (8, 8): 2.27290439198e-13, (2, 3): 6.10128126906e-05, (1, 9): 0.249908480781, (1, 1): 0.0, }, ]
+57 Stop [{(1, 3): 0.249954232013, (2, 9): 3.05119912125e-05, (5, 6): 0.0, (2, 8): 5.68330124254e-14, (9, 8): 3.05119912125e-05, (9, 3): 0.249954232013, (9, 9): 0.249954232013, (1, 4): 3.05119912125e-05, (2, 4): 5.68330124254e-14, (8, 9): 3.05119912125e-05, (1, 8): 3.05119912125e-05, (8, 8): 5.68330124254e-14, (2, 3): 3.05119912125e-05, (1, 9): 0.249954232013, (1, 1): 0.0, }, ]
+58 Stop [{(1, 3): 0.249977113912, (2, 9): 1.52573922065e-05, (5, 6): 0.0, (2, 8): 1.42095537917e-14, (9, 8): 1.52573922065e-05, (9, 3): 0.249977113912, (9, 9): 0.249977113912, (1, 4): 1.52573922065e-05, (2, 4): 1.42095537917e-14, (8, 9): 1.52573922065e-05, (1, 8): 1.52573922065e-05, (8, 8): 1.42095537917e-14, (2, 3): 1.52573922065e-05, (1, 9): 0.249977113912, (1, 1): 0.0, }, ]
+59 Stop [{(1, 3): 0.249988556432, (2, 9): 7.62904530127e-06, (5, 6): 0.0, (2, 8): 3.55255105592e-15, (9, 8): 7.62904530127e-06, (9, 3): 0.249988556432, (9, 9): 0.249988556432, (1, 4): 7.62904530127e-06, (2, 4): 3.55255105592e-15, (8, 9): 7.62904530127e-06, (1, 8): 7.62904530127e-06, (8, 8): 3.55255105592e-15, (2, 3): 7.62904530127e-06, (1, 9): 0.249988556432, (1, 1): 0.0, }, ]
+60 Stop [{(1, 3): 0.249994278085, (2, 9): 3.81460995613e-06, (5, 6): 0.0, (2, 8): 8.88158091375e-16, (9, 8): 3.81460995613e-06, (9, 3): 0.249994278085, (9, 9): 0.249994278085, (1, 4): 3.81460995613e-06, (2, 4): 8.88158091375e-16, (8, 9): 3.81460995613e-06, (1, 8): 3.81460995613e-06, (8, 8): 8.88158091375e-16, (2, 3): 3.81460995613e-06, (1, 9): 0.249994278085, (1, 1): 0.0, }, ]
+61 Stop [{(1, 3): 0.24999713901, (2, 9): 1.90732680519e-06, (5, 6): 0.0, (2, 8): 2.22042063855e-16, (9, 8): 1.90732680519e-06, (9, 3): 0.24999713901, (9, 9): 0.24999713901, (1, 4): 1.90732680519e-06, (2, 4): 2.22042063855e-16, (8, 9): 1.90732680519e-06, (1, 8): 1.90732680519e-06, (8, 8): 2.22042063855e-16, (2, 3): 1.90732680519e-06, (1, 9): 0.24999713901, (1, 1): 0.0, }, ]
+62 Stop [{(1, 3): 0.249994278085, (2, 9): 3.81460995613e-06, (5, 6): 0.0, (2, 8): 2.22039522844e-16, (9, 8): 3.81460995613e-06, (9, 3): 0.249994278085, (9, 9): 0.249994278085, (1, 4): 3.81460995613e-06, (2, 4): 2.22039522844e-16, (8, 9): 3.81460995613e-06, (1, 8): 3.81460995613e-06, (8, 8): 2.22039522844e-16, (2, 3): 3.81460995613e-06, (1, 9): 0.249994278085, (1, 1): 0.0, }, ]
+63 Stop [{(1, 3): 0.24999713901, (2, 9): 1.90732680519e-06, (5, 6): 0.0, (2, 8): 5.55105159638e-17, (9, 8): 1.90732680519e-06, (9, 3): 0.24999713901, (9, 9): 0.24999713901, (1, 4): 1.90732680519e-06, (2, 4): 5.55105159638e-17, (8, 9): 1.90732680519e-06, (1, 8): 1.90732680519e-06, (8, 8): 5.55105159638e-17, (2, 3): 1.90732680519e-06, (1, 9): 0.24999713901, (1, 1): 0.0, }, ]
+64 Stop [{(1, 3): 0.249998569497, (2, 9): 9.53668859469e-07, (5, 6): 0.0, (2, 8): 1.38777083989e-17, (9, 8): 9.53668859469e-07, (9, 3): 0.249998569497, (9, 9): 0.249998569497, (1, 4): 9.53668859469e-07, (2, 4): 1.38777083989e-17, (8, 9): 9.53668859469e-07, (1, 8): 9.53668859469e-07, (8, 8): 1.38777083989e-17, (2, 3): 9.53668859469e-07, (1, 9): 0.249998569497, (1, 1): 0.0, }, ]
+65 Stop [{(1, 3): 0.249999284746, (2, 9): 4.76835793965e-07, (5, 6): 0.0, (2, 8): 3.46943702581e-18, (9, 8): 4.76835793965e-07, (9, 3): 0.249999284746, (9, 9): 0.249999284746, (1, 4): 4.76835793965e-07, (2, 4): 3.46943702581e-18, (8, 9): 4.76835793965e-07, (1, 8): 4.76835793965e-07, (8, 8): 3.46943702581e-18, (2, 3): 4.76835793965e-07, (1, 9): 0.249999284746, (1, 1): 0.0, }, ]
+66 Stop [{(1, 3): 0.249999642373, (2, 9): 2.38418238042e-07, (5, 6): 0.0, (2, 8): 8.67360497219e-19, (9, 8): 2.38418238042e-07, (9, 3): 0.249999642373, (9, 9): 0.249999642373, (1, 4): 2.38418238042e-07, (2, 4): 8.67360497219e-19, (8, 9): 2.38418238042e-07, (1, 8): 2.38418238042e-07, (8, 8): 8.67360497219e-19, (2, 3): 2.38418238042e-07, (1, 9): 0.249999642373, (1, 1): 0.0, }, ]
+67 Stop [{(1, 3): 0.249999821186, (2, 9): 1.19209204286e-07, (5, 6): 0.0, (2, 8): 2.16840279401e-19, (9, 8): 1.19209204286e-07, (9, 3): 0.249999821186, (9, 9): 0.249999821186, (1, 4): 1.19209204286e-07, (2, 4): 2.16840279401e-19, (8, 9): 1.19209204286e-07, (1, 8): 1.19209204286e-07, (8, 8): 2.16840279401e-19, (2, 3): 1.19209204286e-07, (1, 9): 0.249999821186, (1, 1): 0.0, }, ]
+68 Stop [{(1, 3): 0.249999910593, (2, 9): 5.96046234591e-08, (5, 6): 0.0, (2, 8): 5.42100892372e-20, (9, 8): 5.96046234591e-08, (9, 3): 0.249999910593, (9, 9): 0.249999910593, (1, 4): 5.96046234591e-08, (2, 4): 5.42100892372e-20, (8, 9): 5.96046234591e-08, (1, 8): 5.96046234591e-08, (8, 8): 5.42100892372e-20, (2, 3): 5.96046234591e-08, (1, 9): 0.249999910593, (1, 1): 0.0, }, ]
+69 Stop [{(1, 3): 0.249999955297, (2, 9): 2.98023170586e-08, (5, 6): 0.0, (2, 8): 1.35525247327e-20, (9, 8): 2.98023170586e-08, (9, 3): 0.249999955297, (9, 9): 0.249999955297, (1, 4): 2.98023170586e-08, (2, 4): 1.35525247327e-20, (8, 9): 2.98023170586e-08, (1, 8): 2.98023170586e-08, (8, 8): 1.35525247327e-20, (2, 3): 2.98023170586e-08, (1, 9): 0.249999955297, (1, 1): 0.0, }, ]
+70 Stop [{(1, 3): 0.249999977648, (2, 9): 1.49011598616e-08, (5, 6): 0.0, (2, 8): 3.38813148609e-21, (9, 8): 1.49011598616e-08, (9, 3): 0.249999977648, (9, 9): 0.249999977648, (1, 4): 1.49011598616e-08, (2, 4): 3.38813148609e-21, (8, 9): 1.49011598616e-08, (1, 8): 1.49011598616e-08, (8, 8): 3.38813148609e-21, (2, 3): 1.49011598616e-08, (1, 9): 0.249999977648, (1, 1): 0.0, }, ]
+71 Stop [{(1, 3): 0.249999988824, (2, 9): 7.45058026386e-09, (5, 6): 0.0, (2, 8): 8.47032909389e-22, (9, 8): 7.45058026386e-09, (9, 3): 0.249999988824, (9, 9): 0.249999988824, (1, 4): 7.45058026386e-09, (2, 4): 8.47032909389e-22, (8, 9): 7.45058026386e-09, (1, 8): 7.45058026386e-09, (8, 8): 8.47032909389e-22, (2, 3): 7.45058026386e-09, (1, 9): 0.249999988824, (1, 1): 0.0, }, ]
+72 Stop [{(1, 3): 0.249999994412, (2, 9): 3.7252902152e-09, (5, 6): 0.0, (2, 8): 2.1175823208e-22, (9, 8): 3.7252902152e-09, (9, 3): 0.249999994412, (9, 9): 0.249999994412, (1, 4): 3.7252902152e-09, (2, 4): 2.1175823208e-22, (8, 9): 3.7252902152e-09, (1, 8): 3.7252902152e-09, (8, 8): 2.1175823208e-22, (2, 3): 3.7252902152e-09, (1, 9): 0.249999994412, (1, 1): 0.0, }, ]
+73 Stop [{(1, 3): 0.249999997206, (2, 9): 1.86264512841e-09, (5, 6): 0.0, (2, 8): 5.29395586117e-23, (9, 8): 1.86264512841e-09, (9, 3): 0.249999997206, (9, 9): 0.249999997206, (1, 4): 1.86264512841e-09, (2, 4): 5.29395586117e-23, (8, 9): 1.86264512841e-09, (1, 8): 1.86264512841e-09, (8, 8): 5.29395586117e-23, (2, 3): 1.86264512841e-09, (1, 9): 0.249999997206, (1, 1): 0.0, }, ]
+74 Stop [{(1, 3): 0.249999994412, (2, 9): 3.7252902152e-09, (5, 6): 0.0, (2, 8): 5.29395580201e-23, (9, 8): 3.7252902152e-09, (9, 3): 0.249999994412, (9, 9): 0.249999994412, (1, 4): 3.7252902152e-09, (2, 4): 5.29395580201e-23, (8, 9): 3.7252902152e-09, (1, 8): 3.7252902152e-09, (8, 8): 5.29395580201e-23, (2, 3): 3.7252902152e-09, (1, 9): 0.249999994412, (1, 1): 0.0, }, ]
+75 Stop [{(1, 3): 0.249999997206, (2, 9): 1.86264512841e-09, (5, 6): 0.0, (2, 8): 1.32348896529e-23, (9, 8): 1.86264512841e-09, (9, 3): 0.249999997206, (9, 9): 0.249999997206, (1, 4): 1.86264512841e-09, (2, 4): 1.32348896529e-23, (8, 9): 1.86264512841e-09, (1, 8): 1.86264512841e-09, (8, 8): 1.32348896529e-23, (2, 3): 1.86264512841e-09, (1, 9): 0.249999997206, (1, 1): 0.0, }, ]
+76 Stop [{(1, 3): 0.249999998603, (2, 9): 9.31322569411e-10, (5, 6): 0.0, (2, 8): 3.30872243172e-24, (9, 8): 9.31322569411e-10, (9, 3): 0.249999998603, (9, 9): 0.249999998603, (1, 4): 9.31322569411e-10, (2, 4): 3.30872243172e-24, (8, 9): 9.31322569411e-10, (1, 8): 9.31322569411e-10, (8, 8): 3.30872243172e-24, (2, 3): 9.31322569411e-10, (1, 9): 0.249999998603, (1, 1): 0.0, }, ]
+77 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 8.27180610242e-25, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 8.27180610242e-25, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 8.27180610242e-25, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+78 Stop [{(1, 3): 0.249999998603, (2, 9): 9.31322569411e-10, (5, 6): 0.0, (2, 8): 8.27180607931e-25, (9, 8): 9.31322569411e-10, (9, 3): 0.249999998603, (9, 9): 0.249999998603, (1, 4): 9.31322569411e-10, (2, 4): 8.27180607931e-25, (8, 9): 9.31322569411e-10, (1, 8): 9.31322569411e-10, (8, 8): 8.27180607931e-25, (2, 3): 9.31322569411e-10, (1, 9): 0.249999998603, (1, 1): 0.0, }, ]
+79 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 2.0679515256e-25, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 2.0679515256e-25, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 2.0679515256e-25, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+80 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 5.16987882123e-26, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 5.16987882123e-26, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 5.16987882123e-26, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+81 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 5.16987881401e-26, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 5.16987881401e-26, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 5.16987881401e-26, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+82 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 1.29246970531e-26, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 1.29246970531e-26, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 1.29246970531e-26, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+83 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 5.16987881401e-26, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 5.16987881401e-26, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 5.16987881401e-26, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+84 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 1.29246970531e-26, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 1.29246970531e-26, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 1.29246970531e-26, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+85 Stop [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 3.23117426553e-27, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 3.23117426553e-27, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 3.23117426553e-27, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+86 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 3.23117426327e-27, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 3.23117426327e-27, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 3.23117426327e-27, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+87 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 1.2924697035e-26, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 1.2924697035e-26, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 1.2924697035e-26, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+88 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 3.23117426327e-27, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 3.23117426327e-27, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 3.23117426327e-27, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+89 Stop [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 8.07793566382e-28, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 8.07793566382e-28, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 8.07793566382e-28, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+90 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 8.07793565818e-28, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 8.07793565818e-28, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 8.07793565818e-28, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+91 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 3.23117425876e-27, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 3.23117425876e-27, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 3.23117425876e-27, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+92 Stop [{(1, 3): 0.249999998603, (2, 9): 9.31322569411e-10, (5, 6): 0.0, (2, 8): 1.29246969989e-26, (9, 8): 9.31322569411e-10, (9, 3): 0.249999998603, (9, 9): 0.249999998603, (1, 4): 9.31322569411e-10, (2, 4): 1.29246969989e-26, (8, 9): 9.31322569411e-10, (1, 8): 9.31322569411e-10, (8, 8): 1.29246969989e-26, (2, 3): 9.31322569411e-10, (1, 9): 0.249999998603, (1, 1): 0.0, }, ]
+93 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 3.23117425876e-27, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 3.23117425876e-27, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 3.23117425876e-27, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+94 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 8.07793565818e-28, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 8.07793565818e-28, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 8.07793565818e-28, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+95 Stop [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 2.01948391596e-28, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 2.01948391596e-28, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 2.01948391596e-28, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+96 Stop [{(1, 3): 0.249999999913, (2, 9): 5.82076608931e-11, (5, 6): 0.0, (2, 8): 5.04870979165e-29, (9, 8): 5.82076608931e-11, (9, 3): 0.249999999913, (9, 9): 0.249999999913, (1, 4): 5.82076608931e-11, (2, 4): 5.04870979165e-29, (8, 9): 5.82076608931e-11, (1, 8): 5.82076608931e-11, (8, 8): 5.04870979165e-29, (2, 3): 5.82076608931e-11, (1, 9): 0.249999999913, (1, 1): 0.0, }, ]
+97 Stop [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 2.01948391596e-28, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 2.01948391596e-28, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 2.01948391596e-28, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+98 Stop [{(1, 3): 0.249999999913, (2, 9): 5.82076608931e-11, (5, 6): 0.0, (2, 8): 5.04870979165e-29, (9, 8): 5.82076608931e-11, (9, 3): 0.249999999913, (9, 9): 0.249999999913, (1, 4): 5.82076608931e-11, (2, 4): 5.04870979165e-29, (8, 9): 5.82076608931e-11, (1, 8): 5.82076608931e-11, (8, 8): 5.04870979165e-29, (2, 3): 5.82076608931e-11, (1, 9): 0.249999999913, (1, 1): 0.0, }, ]
+99 Stop [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 2.01948391596e-28, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 2.01948391596e-28, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 2.01948391596e-28, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+100 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 8.07793565818e-28, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 8.07793565818e-28, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 8.07793565818e-28, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+101 None [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 2.01948391596e-28, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 2.01948391596e-28, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 2.01948391596e-28, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+"""
diff --git a/tracking/test_cases/q10/2-ParticleUpdate.test b/tracking/test_cases/q10/2-ParticleUpdate.test
new file mode 100644
index 0000000..1250ed5
--- /dev/null
+++ b/tracking/test_cases/q10/2-ParticleUpdate.test
@@ -0,0 +1,31 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%
+%  %%%%%  %
+%  %%%%%  %
+%%%%%%%%%%%
+%%%%%P%%%%%
+%%%%%%%%%%%
+%  %%%%%%%%
+%  %%%%%%G%
+%%%%%%%%%%%
+% %%%%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+checkUniform: "False"
+maxMoves: "100"
+numParticles: "5000"
+numGhosts: "1"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+L2Tolerance: "0.1"
+errorMsg: "Particle filter observe test: %d inference errors."
+
diff --git a/tracking/test_cases/q10/3-ParticleUpdate.solution b/tracking/test_cases/q10/3-ParticleUpdate.solution
new file mode 100644
index 0000000..2013e29
--- /dev/null
+++ b/tracking/test_cases/q10/3-ParticleUpdate.solution
@@ -0,0 +1,105 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(4, 7): 0.0454545454545, (1, 3): 0.0454545454545, (6, 6): 0.0454545454545, (5, 6): 0.0454545454545, (2, 8): 0.0454545454545, (9, 8): 0.0454545454545, (8, 9): 0.0454545454545, (6, 7): 0.0454545454545, (5, 5): 0.0454545454545, (2, 9): 0.0454545454545, (4, 5): 0.0454545454545, (9, 3): 0.0454545454545, (1, 4): 0.0454545454545, (2, 3): 0.0454545454545, (1, 9): 0.0454545454545, (6, 5): 0.0454545454545, (4, 6): 0.0454545454545, (5, 7): 0.0454545454545, (9, 9): 0.0454545454545, (1, 8): 0.0454545454545, (8, 8): 0.0454545454545, (2, 4): 0.0454545454545, }, ]
+1 South [{(4, 7): 0.00393700787402, (1, 3): 0.125984251969, (6, 6): 0.00196850393701, (5, 6): 0.0, (2, 8): 0.0314960629921, (9, 8): 0.0629921259843, (8, 9): 0.0629921259843, (6, 7): 0.00393700787402, (5, 5): 0.00196850393701, (2, 9): 0.0629921259843, (1, 1): 0.0, (4, 5): 0.00393700787402, (9, 3): 0.125984251969, (1, 4): 0.0629921259843, (2, 3): 0.0629921259843, (1, 9): 0.125984251969, (6, 5): 0.00393700787402, (4, 6): 0.00196850393701, (5, 7): 0.00196850393701, (9, 9): 0.125984251969, (1, 8): 0.0629921259843, (8, 8): 0.0314960629921, (2, 4): 0.0314960629921, }, ]
+2 East [{(4, 7): 0.00864164191196, (1, 3): 0.138266270591, (6, 6): 0.00216041047799, (5, 6): 0.0, (2, 8): 0.0345665676479, (9, 8): 0.0345665676479, (8, 9): 0.0345665676479, (6, 7): 0.00864164191196, (5, 5): 0.0, (2, 9): 0.0345665676479, (1, 1): 0.0, (4, 5): 0.00418579530111, (9, 3): 0.138266270591, (1, 4): 0.138266270591, (2, 3): 0.138266270591, (1, 9): 0.0345665676479, (6, 5): 0.00418579530111, (4, 6): 0.00216041047799, (5, 7): 0.00216041047799, (9, 9): 0.0345665676479, (1, 8): 0.0345665676479, (8, 8): 0.0345665676479, (2, 4): 0.138266270591, }, ]
+3 West [{(4, 7): 0.00214745283573, (1, 3): 0.274873962973, (6, 6): 0.000100661851675, (5, 6): 0.0, (2, 8): 0.0687184907433, (9, 8): 0.0343592453717, (8, 9): 0.0343592453717, (6, 7): 0.000536863208932, (5, 5): 0.0, (2, 9): 0.0343592453717, (1, 1): 0.0, (4, 5): 0.000260043116826, (9, 3): 0.0687184907433, (1, 4): 0.137436981487, (2, 3): 0.137436981487, (1, 9): 0.0171796226858, (6, 5): 0.0, (4, 6): 0.000268431604466, (5, 7): 0.000268431604466, (9, 9): 0.0687184907433, (1, 8): 0.0343592453717, (8, 8): 0.0171796226858, (2, 4): 0.0687184907433, }, ]
+4 East [{(4, 7): 0.000223143123433, (1, 3): 0.228498558395, (6, 6): 5.22991695546e-06, (5, 6): 0.0, (2, 8): 0.0571246395988, (9, 8): 0.0571246395988, (8, 9): 0.0571246395988, (6, 7): 5.57857808582e-05, (5, 5): 0.0, (2, 9): 0.0571246395988, (1, 1): 0.0, (4, 5): 6.7553094008e-06, (9, 3): 0.0571246395988, (1, 4): 0.0571246395988, (2, 3): 0.0571246395988, (1, 9): 0.0571246395988, (6, 5): 0.0, (4, 6): 1.39464452145e-05, (5, 7): 1.39464452145e-05, (9, 9): 0.228498558395, (1, 8): 0.0571246395988, (8, 8): 0.0142811598997, (2, 4): 0.0142811598997, }, ]
+5 North [{(4, 7): 0.000322046872051, (1, 3): 0.16488799849, (6, 6): 1.76905630399e-06, (5, 6): 0.0, (2, 8): 0.0412219996225, (9, 8): 0.082443999245, (8, 9): 0.082443999245, (6, 7): 2.01279295032e-05, (5, 5): 0.0, (2, 9): 0.0206109998113, (1, 1): 0.0, (4, 5): 2.43736646328e-06, (9, 3): 0.16488799849, (1, 4): 0.082443999245, (2, 3): 0.082443999245, (1, 9): 0.0103054999056, (6, 5): 0.0, (4, 6): 1.00639647516e-05, (5, 7): 1.00639647516e-05, (9, 9): 0.16488799849, (1, 8): 0.0206109998113, (8, 8): 0.0412219996225, (2, 4): 0.0412219996225, }, ]
+6 South [{(4, 7): 3.68499725789e-05, (1, 3): 0.150937487683, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0377343719208, (9, 8): 0.0377343719208, (8, 9): 0.0377343719208, (6, 7): 8.63671232318e-07, (5, 5): 0.0, (2, 9): 0.0377343719208, (1, 1): 0.0, (4, 5): 2.78893835436e-07, (9, 3): 0.150937487683, (1, 4): 0.150937487683, (2, 3): 0.150937487683, (1, 9): 0.0094335929802, (6, 5): 0.0, (4, 6): 5.75780821545e-07, (5, 7): 5.75780821545e-07, (9, 9): 0.150937487683, (1, 8): 0.0377343719208, (8, 8): 0.0094335929802, (2, 4): 0.0377343719208, }, ]
+7 Stop [{(4, 7): 0.000152973182823, (1, 3): 0.0783222696052, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0195805674013, (9, 8): 0.0391611348026, (8, 9): 0.0391611348026, (6, 7): 3.5853089724e-06, (5, 5): 0.0, (2, 9): 0.00979028370064, (1, 1): 0.0, (4, 5): 1.15775602234e-06, (9, 3): 0.313289078421, (1, 4): 0.15664453921, (2, 3): 0.15664453921, (1, 9): 0.00122378546258, (6, 5): 0.0, (4, 6): 4.78041196321e-06, (5, 7): 4.78041196321e-06, (9, 9): 0.0783222696052, (1, 8): 0.00979028370064, (8, 8): 0.0195805674013, (2, 4): 0.0783222696052, }, ]
+8 North [{(4, 7): 0.00046788244328, (1, 3): 0.0299444763699, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.00748611909247, (9, 8): 0.0299444763699, (8, 9): 0.0299444763699, (6, 7): 2.74149869109e-06, (5, 5): 0.0, (2, 9): 0.00187152977312, (1, 1): 0.0, (4, 5): 8.85275618998e-07, (9, 3): 0.479111621918, (1, 4): 0.11977790548, (2, 3): 0.11977790548, (1, 9): 0.00011697061082, (6, 5): 0.0, (4, 6): 7.31066317624e-06, (5, 7): 7.31066317624e-06, (9, 9): 0.0299444763699, (1, 8): 0.00187152977312, (8, 8): 0.0299444763699, (2, 4): 0.11977790548, }, ]
+9 South [{(4, 7): 4.9127930802e-05, (1, 3): 0.0251535005706, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.00628837514265, (9, 8): 0.0125767502853, (8, 9): 0.0125767502853, (6, 7): 1.07947113579e-07, (5, 5): 0.0, (2, 9): 0.00314418757133, (1, 1): 0.0, (4, 5): 9.29544589149e-08, (9, 3): 0.40245600913, (1, 4): 0.201228004565, (2, 3): 0.201228004565, (1, 9): 9.8255861604e-05, (6, 5): 0.0, (4, 6): 3.83811959391e-07, (5, 7): 3.83811959391e-07, (9, 9): 0.0251535005706, (1, 8): 0.00314418757133, (8, 8): 0.00628837514265, (2, 4): 0.100614002282, }, ]
+10 West [{(4, 7): 0.000133101778699, (1, 3): 0.00851851383675, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.00212962845919, (9, 8): 0.00851851383675, (8, 9): 0.00851851383675, (6, 7): 1.16983985185e-06, (5, 5): 0.0, (2, 9): 0.000532407114797, (1, 1): 0.0, (4, 5): 1.00736209465e-06, (9, 3): 0.545184885552, (1, 4): 0.136296221388, (2, 3): 0.136296221388, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 2.07971529218e-06, (5, 7): 2.07971529218e-06, (9, 9): 0.00851851383675, (1, 8): 0.000532407114797, (8, 8): 0.00851851383675, (2, 4): 0.136296221388, }, ]
+11 East [{(4, 7): 0.00015976921452, (1, 3): 0.00511261486465, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.00127815371616, (9, 8): 0.00255630743232, (8, 9): 0.00255630743232, (6, 7): 1.40422161199e-06, (5, 5): 0.0, (2, 9): 0.00015976921452, (1, 1): 0.0, (4, 5): 5.85701809517e-07, (9, 3): 0.327207351338, (1, 4): 0.163603675669, (2, 3): 0.163603675669, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 1.24819698844e-06, (5, 7): 1.24819698844e-06, (9, 9): 0.00127815371616, (1, 8): 0.00015976921452, (8, 8): 0.00511261486465, (2, 4): 0.327207351338, }, ]
+12 North [{(4, 7): 0.000385931123825, (1, 3): 0.0015437244953, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.000385931123825, (9, 8): 0.0015437244953, (8, 9): 0.0015437244953, (6, 7): 8.47993191999e-07, (5, 5): 0.0, (2, 9): 2.41206952391e-05, (1, 1): 0.0, (4, 5): 3.53698549267e-07, (9, 3): 0.395193470797, (1, 4): 0.0987983676992, (2, 3): 0.0987983676992, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 1.50754345244e-06, (5, 7): 1.50754345244e-06, (9, 9): 0.000385931123825, (1, 8): 2.41206952391e-05, (8, 8): 0.0061748979812, (2, 4): 0.395193470797, }, ]
+13 West [{(4, 7): 4.05005779962e-05, (1, 3): 0.00129601849588, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.00032400462397, (9, 8): 0.00064800924794, (8, 9): 0.00064800924794, (6, 7): 3.33714479339e-08, (5, 5): 0.0, (2, 9): 4.05005779962e-05, (1, 1): 0.0, (4, 5): 3.71180109543e-08, (9, 3): 0.331780734945, (1, 4): 0.165890367473, (2, 3): 0.165890367473, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 7.91026913989e-08, (5, 7): 7.91026913989e-08, (9, 9): 0.00032400462397, (1, 8): 4.05005779962e-05, (8, 8): 0.00129601849588, (2, 4): 0.331780734945, }, ]
+14 Stop [{(4, 7): 0.000555126164104, (1, 3): 0.000555126164104, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.000555126164104, (9, 8): 0.000555126164104, (8, 9): 0.000555126164104, (6, 7): 4.57409864222e-07, (5, 5): 0.0, (2, 9): 3.46953852565e-05, (1, 1): 0.0, (4, 5): 5.08762592034e-07, (9, 3): 0.142112298011, (1, 4): 0.142112298011, (2, 3): 0.142112298011, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 4.31998205098e-06, (5, 7): 4.31998205098e-06, (9, 9): 0.000138781541026, (1, 8): 3.46953852565e-05, (8, 8): 0.00222050465642, (2, 4): 0.568449192043, }, ]
+15 West [{(4, 7): 4.05005652565e-05, (1, 3): 0.00129601808821, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.000324004522052, (9, 8): 0.000648009044104, (8, 9): 0.000648009044104, (6, 7): 3.33714374367e-08, (5, 5): 0.0, (2, 9): 4.05005652565e-05, (1, 1): 0.0, (4, 5): 3.71179992786e-08, (9, 3): 0.331780630581, (1, 4): 0.165890315291, (2, 3): 0.165890315291, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 2.36381015177e-07, (5, 7): 2.36381015177e-07, (9, 9): 0.000324004522052, (1, 8): 4.05005652565e-05, (8, 8): 0.00129601808821, (2, 4): 0.331780630581, }, ]
+16 Stop [{(4, 7): 7.99743432144e-07, (1, 3): 0.000818937274515, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 5.11835796572e-05, (9, 8): 0.000818937274515, (8, 9): 0.000818937274515, (6, 7): 2.6358731284e-09, (5, 5): 0.0, (2, 9): 1.27958949143e-05, (1, 1): 0.0, (4, 5): 7.32949674883e-10, (9, 3): 0.838591769103, (1, 4): 0.052411985569, (2, 3): 0.052411985569, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 9.33538399643e-09, (9, 9): 0.000818937274515, (1, 8): 1.27958949143e-05, (8, 8): 0.000818937274515, (2, 4): 0.052411985569, }, ]
+17 Stop [{(4, 7): 7.29033685408e-09, (1, 3): 0.000238889758034, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 3.73265246929e-06, (9, 8): 0.000477779516069, (8, 9): 0.000477779516069, (6, 7): 9.61128393848e-11, (5, 5): 0.0, (2, 9): 1.86632623464e-06, (1, 1): 0.0, (4, 5): 6.68145534207e-12, (9, 3): 0.978492448909, (1, 4): 0.0076444722571, (2, 3): 0.0076444722571, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 1.70199819744e-10, (9, 9): 0.000955559032137, (1, 8): 1.86632623464e-06, (8, 8): 0.000238889758034, (2, 4): 0.00382223612855, }, ]
+18 East [{(4, 7): 5.79881817339e-11, (1, 3): 6.08050156498e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 2.37519592382e-07, (9, 8): 0.000243220062599, (8, 9): 0.000243220062599, (6, 7): 3.05797052113e-12, (5, 5): 0.0, (2, 9): 2.37519592382e-07, (1, 1): 0.0, (4, 5): 5.31450678313e-14, (9, 3): 0.996229376407, (1, 4): 0.000972880250398, (2, 3): 0.000972880250398, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 2.70757806558e-12, (9, 9): 0.000972880250398, (1, 8): 2.37519592382e-07, (8, 8): 6.08050156498e-05, (2, 4): 0.000243220062599, }, ]
+19 South [{(4, 7): 1.8147521519e-12, (1, 3): 6.08929776778e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 5.94657985135e-08, (9, 8): 0.000121785955356, (8, 9): 0.000121785955356, (6, 7): 9.56998205104e-14, (5, 5): 0.0, (2, 9): 1.18931597027e-07, (1, 1): 0.0, (4, 5): 1.66318589971e-15, (9, 3): 0.997670546273, (1, 4): 0.000487143821422, (2, 3): 0.000487143821422, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 4.23671080384e-14, (9, 9): 0.000974287642845, (1, 8): 1.18931597027e-07, (8, 8): 1.52232444194e-05, (2, 4): 6.08929776778e-05, }, ]
+20 West [{(4, 7): 2.26248113325e-13, (1, 3): 6.07330154695e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 5.93095854195e-08, (9, 8): 0.000242932061878, (8, 9): 0.000242932061878, (6, 7): 1.19310528511e-14, (5, 5): 0.0, (2, 9): 2.37238341678e-07, (1, 1): 0.0, (4, 5): 5.18380253089e-17, (9, 3): 0.995049725453, (1, 4): 0.000242932061878, (2, 3): 0.000242932061878, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 2.64098826132e-15, (9, 9): 0.00388691299005, (1, 8): 2.37238341678e-07, (8, 8): 1.51832538674e-05, (2, 4): 1.51832538674e-05, }, ]
+21 North [{(4, 7): 4.52283050598e-13, (1, 3): 0.000242817613857, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 2.37126576032e-07, (9, 8): 0.000121408806928, (8, 9): 0.000121408806928, (6, 7): 9.54034559856e-14, (5, 5): 0.0, (2, 9): 4.74253152064e-07, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.994580946357, (1, 4): 0.00194254091085, (2, 3): 0.00194254091085, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 1.05589762484e-14, (9, 9): 0.000971270455427, (1, 8): 4.74253152064e-07, (8, 8): 1.5176100866e-05, (2, 4): 6.07044034642e-05, }, ]
+22 East [{(4, 7): 0.0, (1, 3): 6.09344995784e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.09344995784e-05, (8, 9): 6.09344995784e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.95063472445e-08, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.998350841092, (1, 4): 0.000243737998314, (2, 3): 0.000243737998314, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 0.000974951993254, (1, 8): 5.95063472445e-08, (8, 8): 3.80840622365e-06, (2, 4): 0.0, }, ]
+23 East [{(4, 7): 0.0, (1, 3): 6.09532480849e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.04766240424e-05, (8, 9): 3.04766240424e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.97623281665e-08, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.998658016623, (1, 4): 0.00012190649617, (2, 3): 0.00012190649617, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 0.000975251969358, (1, 8): 2.97623281665e-08, (8, 8): 9.52394501327e-07, (2, 4): 0.0, }, ]
+24 South [{(4, 7): 0.0, (1, 3): 1.52398945435e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.0959578174e-05, (8, 9): 6.0959578174e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.48827095151e-08, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.998761728803, (1, 4): 6.0959578174e-05, (2, 3): 6.0959578174e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 0.000975353250784, (1, 8): 1.48827095151e-08, (8, 8): 3.80997363588e-06, (2, 4): 0.0, }, ]
+25 West [{(4, 7): 0.0, (1, 3): 1.52361796059e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 0.000121889436847, (8, 9): 0.000121889436847, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.43954082321e-09, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.998518266654, (1, 4): 0.000121889436847, (2, 3): 0.000121889436847, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 0.00097511549478, (1, 8): 7.43954082321e-09, (8, 8): 3.80904490148e-06, (2, 4): 0.0, }, ]
+26 Stop [{(4, 7): 0.0, (1, 3): 1.52454710287e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.0981884115e-05, (8, 9): 6.0981884115e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.72203882538e-09, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.99912718934, (1, 4): 0.00024392753646, (2, 3): 0.00024392753646, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 0.00024392753646, (1, 8): 3.72203882538e-09, (8, 8): 3.81136775719e-06, (2, 4): 0.0, }, ]
+27 East [{(4, 7): 0.0, (1, 3): 1.52417532022e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.04835064043e-05, (8, 9): 3.04835064043e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.86056557644e-09, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.998883537857, (1, 4): 0.000487736102469, (2, 3): 0.000487736102469, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 6.09670128086e-05, (1, 8): 1.86056557644e-09, (8, 8): 3.81043830054e-06, (2, 4): 0.0, }, ]
+28 West [{(4, 7): 0.0, (1, 3): 3.81263201061e-06, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.52505280424e-05, (8, 9): 1.52505280424e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.32704590491e-10, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999458605789, (1, 4): 0.000244008448679, (2, 3): 0.000244008448679, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.52505280424e-05, (1, 8): 2.32704590491e-10, (8, 8): 3.81263201061e-06, (2, 4): 0.0, }, ]
+29 Stop [{(4, 7): 0.0, (1, 3): 3.81344620779e-06, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.05075696623e-05, (8, 9): 3.05075696623e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 4.65508570287e-10, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999672042695, (1, 4): 0.000122030278649, (2, 3): 0.000122030278649, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.52537848312e-05, (1, 8): 4.65508570287e-10, (8, 8): 3.81344620779e-06, (2, 4): 0.0, }, ]
+30 West [{(4, 7): 0.0, (1, 3): 3.8126756196e-06, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.52507024784e-05, (8, 9): 1.52507024784e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.32707252173e-10, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999470037623, (1, 4): 0.000244011239654, (2, 3): 0.000244011239654, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.8126756196e-06, (1, 8): 2.32707252173e-10, (8, 8): 3.8126756196e-06, (2, 4): 0.0, }, ]
+31 East [{(4, 7): 0.0, (1, 3): 9.53538820727e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.05132422633e-05, (8, 9): 3.05132422633e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.16398781827e-10, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999857922483, (1, 4): 3.05132422633e-05, (2, 3): 3.05132422633e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.52566211316e-05, (1, 8): 1.16398781827e-10, (8, 8): 3.81415528291e-06, (2, 4): 0.0, }, ]
+32 East [{(4, 7): 0.0, (1, 3): 9.53520636459e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.52563301834e-05, (8, 9): 1.52563301834e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.81982810339e-11, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999838854896, (1, 4): 6.10253207334e-05, (2, 3): 6.10253207334e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.81408254584e-06, (1, 8): 5.81982810339e-11, (8, 8): 3.81408254584e-06, (2, 4): 0.0, }, ]
+33 West [{(4, 7): 0.0, (1, 3): 2.38399197068e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 7.62877430618e-06, (8, 9): 7.62877430618e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.27536612146e-12, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999918705859, (1, 4): 3.05150972247e-05, (2, 3): 3.05150972247e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 9.53596788272e-07, (1, 8): 7.27536612146e-12, (8, 8): 3.81438715309e-06, (2, 4): 0.0, }, ]
+34 North [{(4, 7): 0.0, (1, 3): 2.38386637378e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.81418619805e-06, (8, 9): 3.81418619805e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.63749141507e-12, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999866026703, (1, 4): 6.10269791689e-05, (2, 3): 6.10269791689e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38386637378e-07, (1, 8): 3.63749141507e-12, (8, 8): 3.81418619805e-06, (2, 4): 0.0, }, ]
+35 West [{(4, 7): 0.0, (1, 3): 2.3835572685e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 7.62738325921e-06, (8, 9): 7.62738325921e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.2740395157e-12, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999736378552, (1, 4): 0.000122038132147, (2, 3): 0.000122038132147, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.3835572685e-07, (1, 8): 7.2740395157e-12, (8, 8): 3.81369162961e-06, (2, 4): 0.0, }, ]
+36 North [{(4, 7): 0.0, (1, 3): 5.96022965241e-08, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.81454697754e-06, (8, 9): 3.81454697754e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 9.09458870301e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.99996060288, (1, 4): 1.52581879102e-05, (2, 3): 1.52581879102e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38409186096e-07, (1, 8): 9.09458870301e-13, (8, 8): 9.53636744385e-07, (2, 4): 0.0, }, ]
+37 East [{(4, 7): 0.0, (1, 3): 2.38344648745e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.05081150393e-05, (8, 9): 3.05081150393e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.81842535969e-12, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999689913608, (1, 4): 0.000122032460157, (2, 3): 0.000122032460157, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 9.53378594979e-07, (1, 8): 1.81842535969e-12, (8, 8): 3.81351437991e-06, (2, 4): 0.0, }, ]
+38 South [{(4, 7): 0.0, (1, 3): 2.38387489806e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.81419983689e-06, (8, 9): 3.81419983689e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.2734402638e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999869602043, (1, 4): 6.10271973903e-05, (2, 3): 6.10271973903e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38387489806e-07, (1, 8): 2.2734402638e-13, (8, 8): 2.38387489806e-07, (2, 4): 0.0, }, ]
+39 East [{(4, 7): 0.0, (1, 3): 2.38402990813e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.90722392651e-06, (8, 9): 1.90722392651e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.13679404646e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.99993461798, (1, 4): 3.05155828241e-05, (2, 3): 3.05155828241e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38402990813e-07, (1, 8): 1.13679404646e-13, (8, 8): 5.96007477033e-08, (2, 4): 0.0, }, ]
+40 West [{(4, 7): 0.0, (1, 3): 2.38388906977e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 9.53555627909e-07, (8, 9): 9.53555627909e-07, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.273453779e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999875546091, (1, 4): 6.10275601862e-05, (2, 3): 6.10275601862e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38388906977e-07, (1, 8): 2.273453779e-13, (8, 8): 1.48993066861e-08, (2, 4): 0.0, }, ]
+41 Stop [{(4, 7): 0.0, (1, 3): 2.38359359419e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.90687487535e-06, (8, 9): 1.90687487535e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 4.54634398306e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999751614649, (1, 4): 0.000122039992023, (2, 3): 0.000122039992023, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38359359419e-07, (1, 8): 4.54634398306e-13, (8, 8): 1.48974599637e-08, (2, 4): 0.0, }, ]
+42 North [{(4, 7): 0.0, (1, 3): 2.38388909641e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 9.53555638565e-07, (8, 9): 9.53555638565e-07, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.27345380441e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999875557264, (1, 4): 6.10275608682e-05, (2, 3): 6.10275608682e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38388909641e-07, (1, 8): 2.27345380441e-13, (8, 8): 3.72482671314e-09, (2, 4): 0.0, }, ]
+43 South [{(4, 7): 0.0, (1, 3): 2.38403900137e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.19201950068e-07, (8, 9): 1.19201950068e-07, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.84199595615e-14, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.99993843196, (1, 4): 3.05156992175e-05, (2, 3): 3.05156992175e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96009750342e-08, (1, 8): 2.84199595615e-14, (8, 8): 2.32816308727e-10, (2, 4): 0.0, }, ]
+44 South [{(4, 7): 0.0, (1, 3): 2.38411203882e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 5.96028009706e-08, (8, 9): 5.96028009706e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.42104151179e-14, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999969066088, (1, 4): 1.52583170485e-05, (2, 3): 1.52583170485e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96028009706e-08, (1, 8): 1.42104151179e-14, (8, 8): 5.82058603228e-11, (2, 4): 0.0, }, ]
+45 North [{(4, 7): 0.0, (1, 3): 2.38403953463e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.98004941828e-08, (8, 9): 2.98004941828e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.1049914796e-15, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999938655625, (1, 4): 3.05157060432e-05, (2, 3): 3.05157060432e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.49002470914e-08, (1, 8): 7.1049914796e-15, (8, 8): 5.82040902009e-11, (2, 4): 0.0, }, ]
+46 South [{(4, 7): 0.0, (1, 3): 2.38411235865e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.49007022416e-08, (8, 9): 1.49007022416e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.55260425605e-15, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999969200234, (1, 4): 1.52583190954e-05, (2, 3): 1.52583190954e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.49007022416e-08, (1, 8): 3.55260425605e-15, (8, 8): 1.45514670328e-11, (2, 4): 0.0, }, ]
+47 North [{(4, 7): 0.0, (1, 3): 2.38414855912e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.9801856989e-08, (8, 9): 2.9801856989e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.10531639791e-15, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999984383812, (1, 4): 7.62927538919e-06, (2, 3): 7.62927538919e-06, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96037139781e-08, (1, 8): 7.10531639791e-15, (8, 8): 1.45516879829e-11, (2, 4): 0.0, }, ]
+48 West [{(4, 7): 0.0, (1, 3): 2.38411203882e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 5.96028009706e-08, (8, 9): 5.96028009706e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.42104151179e-14, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999969066088, (1, 4): 1.52583170485e-05, (2, 3): 1.52583170485e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96028009706e-08, (1, 8): 1.42104151179e-14, (8, 8): 5.82058603228e-11, (2, 4): 0.0, }, ]
+49 Stop [{(4, 7): 0.0, (1, 3): 5.96044067437e-08, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.98022033718e-08, (8, 9): 2.98022033718e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.7763497455e-15, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.99999600649, (1, 4): 1.9073410158e-06, (2, 3): 1.9073410158e-06, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96044067437e-08, (1, 8): 1.7763497455e-15, (8, 8): 1.45518571152e-11, (2, 4): 0.0, }, ]
+50 South [{(4, 7): 0.0, (1, 3): 1.49011525341e-08, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.49011525341e-08, (8, 9): 1.49011525341e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.22044475884e-16, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999418851, (1, 4): 2.38418440545e-07, (2, 3): 2.38418440545e-07, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96046101362e-08, (1, 8): 2.22044475884e-16, (8, 8): 3.63797669289e-12, (2, 4): 0.0, }, ]
+51 Stop [{(4, 7): 0.0, (1, 3): 3.72528961844e-09, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.98023169475e-08, (8, 9): 2.98023169475e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.11022282196e-16, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999817457, (1, 4): 2.98023169475e-08, (2, 3): 2.98023169475e-08, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.9604633895e-08, (1, 8): 1.11022282196e-16, (8, 8): 3.637978143e-12, (2, 4): 0.0, }, ]
+52 Stop [{(4, 7): 0.0, (1, 3): 1.49011585293e-08, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.49011585293e-08, (8, 9): 1.49011585293e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.2204456522e-16, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999821182, (1, 4): 5.9604634117e-08, (2, 3): 5.9604634117e-08, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.49011585293e-08, (1, 8): 2.2204456522e-16, (8, 8): 3.63797815656e-12, (2, 4): 0.0, }, ]
+53 Stop [{(4, 7): 0.0, (1, 3): 3.72528978497e-09, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.98023182798e-08, (8, 9): 2.98023182798e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.11022287159e-16, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999862161, (1, 4): 7.45057956994e-09, (2, 3): 7.45057956994e-09, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96046365595e-08, (1, 8): 1.11022287159e-16, (8, 8): 3.63797830564e-12, (2, 4): 0.0, }, ]
+54 North [{(4, 7): 0.0, (1, 3): 9.31322530377e-10, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.4901160486e-08, (8, 9): 1.4901160486e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.55111485944e-17, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999952499, (1, 4): 9.31322530377e-10, (2, 3): 9.31322530377e-10, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.4901160486e-08, (1, 8): 5.55111485944e-17, (8, 8): 3.63797863428e-12, (2, 4): 0.0, }, ]
+55 North [{(4, 7): 0.0, (1, 3): 2.32830636606e-10, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 7.4505803714e-09, (8, 9): 7.4505803714e-09, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 6.93889369387e-18, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999969731, (1, 4): 1.16415318303e-10, (2, 3): 1.16415318303e-10, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.49011607428e-08, (1, 8): 6.93889369387e-18, (8, 8): 9.09494674244e-13, (2, 4): 0.0, }, ]
+56 East [{(4, 7): 0.0, (1, 3): 5.82076605831e-11, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 9.3132256933e-10, (8, 9): 9.3132256933e-10, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.16840433266e-19, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999994325, (1, 4): 1.45519151458e-11, (2, 3): 1.45519151458e-11, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.72529027732e-09, (1, 8): 2.16840433266e-19, (8, 8): 5.68434185382e-14, (2, 4): 0.0, }, ]
+57 Stop [{(4, 7): 0.0, (1, 3): 5.82076608415e-11, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.16415321683e-10, (8, 9): 1.16415321683e-10, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.71050542786e-20, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999998763, (1, 4): 7.27595760518e-12, (2, 3): 7.27595760518e-12, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 9.31322573464e-10, (1, 8): 2.71050542786e-20, (8, 8): 3.55271367441e-15, (2, 4): 0.0, }, ]
+58 South [{(4, 7): 0.0, (1, 3): 5.82076608944e-11, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.45519152236e-11, (8, 9): 1.45519152236e-11, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.38813178791e-21, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999673, (1, 4): 3.6379788059e-12, (2, 3): 3.6379788059e-12, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.32830643578e-10, (1, 8): 3.38813178791e-21, (8, 8): 2.22044604852e-16, (2, 4): 0.0, }, ]
+59 West [{(4, 7): 0.0, (1, 3): 5.82076608955e-11, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 7.27595761193e-12, (8, 9): 7.27595761193e-12, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.69406589398e-21, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999691, (1, 4): 1.81898940298e-12, (2, 3): 1.81898940298e-12, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.32830643582e-10, (1, 8): 1.69406589398e-21, (8, 8): 5.55111512141e-17, (2, 4): 0.0, }, ]
+60 South [{(4, 7): 0.0, (1, 3): 1.45519152247e-11, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.63797880616e-12, (8, 9): 3.63797880616e-12, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.1175823676e-22, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999745, (1, 4): 2.27373675385e-13, (2, 3): 2.27373675385e-13, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.32830643594e-10, (1, 8): 2.1175823676e-22, (8, 8): 1.38777878043e-17, (2, 4): 0.0, }, ]
+61 North [{(4, 7): 0.0, (1, 3): 3.63797880618e-12, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 7.27595761236e-12, (8, 9): 7.27595761236e-12, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.0587911838e-22, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999749, (1, 4): 2.84217094233e-14, (2, 3): 2.84217094233e-14, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.32830643595e-10, (1, 8): 1.0587911838e-22, (8, 8): 1.38777878043e-17, (2, 4): 0.0, }, ]
+62 North [{(4, 7): 0.0, (1, 3): 3.63797880613e-12, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.45519152245e-11, (8, 9): 1.45519152245e-11, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.29395591893e-23, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999734, (1, 4): 1.42108547114e-14, (2, 3): 1.42108547114e-14, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.32830643592e-10, (1, 8): 5.29395591893e-23, (8, 8): 1.38777878041e-17, (2, 4): 0.0, }, ]
+63 Stop [{(4, 7): 0.0, (1, 3): 9.09494701716e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.81898940343e-12, (8, 9): 1.81898940343e-12, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.654361225e-24, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999937, (1, 4): 1.77635683929e-15, (2, 3): 1.77635683929e-15, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.82076609098e-11, (1, 8): 1.654361225e-24, (8, 8): 8.67361737934e-19, (2, 4): 0.0, }, ]
+64 East [{(4, 7): 0.0, (1, 3): 2.2737367544e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.2737367544e-13, (8, 9): 2.2737367544e-13, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.16987882838e-26, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999985, (1, 4): 2.22044604922e-16, (2, 3): 2.22044604922e-16, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.45519152281e-11, (1, 8): 5.16987882838e-26, (8, 8): 5.42101086234e-20, (2, 4): 0.0, }, ]
+65 East [{(4, 7): 0.0, (1, 3): 2.27373675442e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.84217094303e-14, (8, 9): 2.84217094303e-14, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 6.46234853555e-27, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999996, (1, 4): 1.11022302462e-16, (2, 3): 1.11022302462e-16, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.63797880708e-12, (1, 8): 6.46234853555e-27, (8, 8): 3.388131789e-21, (2, 4): 0.0, }, ]
+66 Stop [{(4, 7): 0.0, (1, 3): 9.09494701771e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.55271367879e-15, (8, 9): 3.55271367879e-15, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.23117426778e-27, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999998, (1, 4): 2.22044604925e-16, (2, 3): 2.22044604925e-16, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 9.09494701771e-13, (1, 8): 3.23117426778e-27, (8, 8): 2.11758236813e-22, (2, 4): 0.0, }, ]
+67 West [{(4, 7): 0.0, (1, 3): 2.27373675443e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 4.4408920985e-16, (8, 9): 4.4408920985e-16, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.61558713389e-27, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.11022302462e-16, (2, 3): 1.11022302462e-16, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.27373675443e-13, (1, 8): 1.61558713389e-27, (8, 8): 1.32348898008e-23, (2, 4): 0.0, }, ]
+68 West [{(4, 7): 0.0, (1, 3): 2.27373675443e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 5.55111512312e-17, (8, 9): 5.55111512312e-17, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.01948391737e-28, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 5.55111512312e-17, (2, 3): 5.55111512312e-17, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.68434188608e-14, (1, 8): 2.01948391737e-28, (8, 8): 8.27180612553e-25, (2, 4): 0.0, }, ]
+69 Stop [{(4, 7): 0.0, (1, 3): 5.68434188608e-14, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.93889390391e-18, (8, 9): 6.93889390391e-18, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 6.31088724177e-30, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.93889390391e-18, (2, 3): 6.93889390391e-18, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.42108547152e-14, (1, 8): 6.31088724177e-30, (8, 8): 5.16987882846e-26, (2, 4): 0.0, }, ]
+70 East [{(4, 7): 0.0, (1, 3): 1.42108547152e-14, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 8.67361737988e-19, (8, 9): 8.67361737988e-19, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.97215226305e-31, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 8.67361737988e-19, (2, 3): 8.67361737988e-19, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.5527136788e-15, (1, 8): 1.97215226305e-31, (8, 8): 3.23117426779e-27, (2, 4): 0.0, }, ]
+71 Stop [{(4, 7): 0.0, (1, 3): 1.42108547152e-14, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.08420217249e-19, (8, 9): 1.08420217249e-19, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.46519032882e-32, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 4.33680868994e-19, (2, 3): 4.33680868994e-19, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 8.881784197e-16, (1, 8): 2.46519032882e-32, (8, 8): 2.01948391737e-28, (2, 4): 0.0, }, ]
+72 South [{(4, 7): 0.0, (1, 3): 1.42108547152e-14, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.35525271561e-20, (8, 9): 1.35525271561e-20, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.08148791102e-33, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 2.16840434497e-19, (2, 3): 2.16840434497e-19, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.22044604925e-16, (1, 8): 3.08148791102e-33, (8, 8): 1.26217744835e-29, (2, 4): 0.0, }, ]
+73 East [{(4, 7): 0.0, (1, 3): 1.42108547152e-14, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.77626357803e-21, (8, 9): 6.77626357803e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.54074395551e-33, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.08420217249e-19, (2, 3): 1.08420217249e-19, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.22044604925e-16, (1, 8): 1.54074395551e-33, (8, 8): 3.15544362088e-30, (2, 4): 0.0, }, ]
+74 West [{(4, 7): 0.0, (1, 3): 3.5527136788e-15, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.35525271561e-20, (8, 9): 1.35525271561e-20, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.70371977755e-34, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 5.42101086243e-20, (2, 3): 5.42101086243e-20, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.22044604925e-16, (1, 8): 7.70371977755e-34, (8, 8): 3.15544362088e-30, (2, 4): 0.0, }, ]
+75 Stop [{(4, 7): 0.0, (1, 3): 3.5527136788e-15, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.77626357803e-21, (8, 9): 6.77626357803e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.85185988877e-34, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 2.71050543121e-20, (2, 3): 2.71050543121e-20, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.22044604925e-16, (1, 8): 3.85185988877e-34, (8, 8): 7.88860905221e-31, (2, 4): 0.0, }, ]
+76 South [{(4, 7): 0.0, (1, 3): 3.5527136788e-15, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.38813178902e-21, (8, 9): 3.38813178902e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.92592994439e-34, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.35525271561e-20, (2, 3): 1.35525271561e-20, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.22044604925e-16, (1, 8): 1.92592994439e-34, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+77 East [{(4, 7): 0.0, (1, 3): 3.5527136788e-15, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.69406589451e-21, (8, 9): 1.69406589451e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 9.62964972194e-35, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.55111512313e-17, (1, 8): 9.62964972194e-35, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+78 Stop [{(4, 7): 0.0, (1, 3): 8.881784197e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 8.47032947254e-22, (8, 9): 8.47032947254e-22, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.20370621524e-35, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 3.38813178902e-21, (2, 3): 3.38813178902e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.38777878078e-17, (1, 8): 1.20370621524e-35, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+79 Stop [{(4, 7): 0.0, (1, 3): 8.881784197e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.69406589451e-21, (8, 9): 1.69406589451e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 6.01853107621e-36, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.38777878078e-17, (1, 8): 6.01853107621e-36, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+80 West [{(4, 7): 0.0, (1, 3): 2.22044604925e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 8.47032947254e-22, (8, 9): 8.47032947254e-22, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.52316384526e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 3.38813178902e-21, (2, 3): 3.38813178902e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.46944695195e-18, (1, 8): 7.52316384526e-37, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+81 North [{(4, 7): 0.0, (1, 3): 2.22044604925e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 4.23516473627e-22, (8, 9): 4.23516473627e-22, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.76158192263e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 8.67361737988e-19, (1, 8): 3.76158192263e-37, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+82 North [{(4, 7): 0.0, (1, 3): 2.22044604925e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.11758236814e-22, (8, 9): 2.11758236814e-22, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.88079096132e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 3.38813178902e-21, (2, 3): 3.38813178902e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 8.67361737988e-19, (1, 8): 1.88079096132e-37, (8, 8): 4.93038065763e-32, (2, 4): 0.0, }, ]
+83 East [{(4, 7): 0.0, (1, 3): 2.22044604925e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.69406589451e-21, (8, 9): 1.69406589451e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.50463276905e-36, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.46944695195e-18, (1, 8): 1.50463276905e-36, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+84 Stop [{(4, 7): 0.0, (1, 3): 2.22044604925e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.11758236814e-22, (8, 9): 2.11758236814e-22, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.52316384526e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.35525271561e-20, (2, 3): 1.35525271561e-20, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 8.67361737988e-19, (1, 8): 7.52316384526e-37, (8, 8): 1.23259516441e-32, (2, 4): 0.0, }, ]
+85 Stop [{(4, 7): 0.0, (1, 3): 5.55111512313e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.64697796017e-23, (8, 9): 2.64697796017e-23, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.76158192263e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.16840434497e-19, (1, 8): 3.76158192263e-37, (8, 8): 7.70371977755e-34, (2, 4): 0.0, }, ]
+86 South [{(4, 7): 0.0, (1, 3): 1.38777878078e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.32348898008e-23, (8, 9): 1.32348898008e-23, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.52316384526e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 3.38813178902e-21, (2, 3): 3.38813178902e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.16840434497e-19, (1, 8): 7.52316384526e-37, (8, 8): 1.92592994439e-34, (2, 4): 0.0, }, ]
+87 West [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.64697796017e-23, (8, 9): 2.64697796017e-23, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.76158192263e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.69406589451e-21, (2, 3): 1.69406589451e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.16840434497e-19, (1, 8): 3.76158192263e-37, (8, 8): 7.70371977755e-34, (2, 4): 0.0, }, ]
+88 Stop [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.32348898008e-23, (8, 9): 1.32348898008e-23, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.88079096132e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 8.47032947254e-22, (2, 3): 8.47032947254e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.16840434497e-19, (1, 8): 1.88079096132e-37, (8, 8): 1.92592994439e-34, (2, 4): 0.0, }, ]
+89 South [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.61744490042e-24, (8, 9): 6.61744490042e-24, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 9.40395480658e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 4.23516473627e-22, (2, 3): 4.23516473627e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.16840434497e-19, (1, 8): 9.40395480658e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+90 West [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.30872245021e-24, (8, 9): 3.30872245021e-24, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 4.70197740329e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 8.47032947254e-22, (2, 3): 8.47032947254e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.42101086243e-20, (1, 8): 4.70197740329e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+91 East [{(4, 7): 0.0, (1, 3): 1.38777878078e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.65436122511e-24, (8, 9): 1.65436122511e-24, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 9.40395480658e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.35525271561e-20, (1, 8): 9.40395480658e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+92 West [{(4, 7): 0.0, (1, 3): 1.38777878078e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 8.27180612553e-25, (8, 9): 8.27180612553e-25, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 4.70197740329e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.35525271561e-20, (2, 3): 1.35525271561e-20, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.38813178902e-21, (1, 8): 4.70197740329e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+93 East [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.65436122511e-24, (8, 9): 1.65436122511e-24, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.35098870164e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.69406589451e-21, (2, 3): 1.69406589451e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.35525271561e-20, (1, 8): 2.35098870164e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+94 North [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 8.27180612553e-25, (8, 9): 8.27180612553e-25, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.17549435082e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 8.47032947254e-22, (2, 3): 8.47032947254e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.38813178902e-21, (1, 8): 1.17549435082e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+95 South [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 4.13590306277e-25, (8, 9): 4.13590306277e-25, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.87747175411e-39, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 4.23516473627e-22, (2, 3): 4.23516473627e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.38813178902e-21, (1, 8): 5.87747175411e-39, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+96 Stop [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.06795153138e-25, (8, 9): 2.06795153138e-25, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.93873587706e-39, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 2.11758236814e-22, (2, 3): 2.11758236814e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 8.47032947254e-22, (1, 8): 2.93873587706e-39, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+97 Stop [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.03397576569e-25, (8, 9): 1.03397576569e-25, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.46936793853e-39, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 4.23516473627e-22, (2, 3): 4.23516473627e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.11758236814e-22, (1, 8): 1.46936793853e-39, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+98 West [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 5.16987882846e-26, (8, 9): 5.16987882846e-26, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.34683969264e-40, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 2.11758236814e-22, (2, 3): 2.11758236814e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.29395592034e-23, (1, 8): 7.34683969264e-40, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+99 North [{(4, 7): 0.0, (1, 3): 1.38777878078e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.58493941423e-26, (8, 9): 2.58493941423e-26, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.46936793853e-39, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.69406589451e-21, (2, 3): 1.69406589451e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.32348898008e-23, (1, 8): 1.46936793853e-39, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+100 Stop [{(4, 7): 0.0, (1, 3): 5.55111512313e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 5.16987882846e-26, (8, 9): 5.16987882846e-26, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.93873587706e-39, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 3.38813178902e-21, (2, 3): 3.38813178902e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.32348898008e-23, (1, 8): 2.93873587706e-39, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+101 None [{(4, 7): 0.0, (1, 3): 1.38777878078e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.58493941423e-26, (8, 9): 2.58493941423e-26, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.67341984632e-40, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 4.23516473627e-22, (2, 3): 4.23516473627e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.32348898008e-23, (1, 8): 3.67341984632e-40, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+"""
diff --git a/tracking/test_cases/q10/3-ParticleUpdate.test b/tracking/test_cases/q10/3-ParticleUpdate.test
new file mode 100644
index 0000000..32aa879
--- /dev/null
+++ b/tracking/test_cases/q10/3-ParticleUpdate.test
@@ -0,0 +1,31 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%
+%  %%%%%  %
+%  %%%%%  %
+%%%%   %%%%
+%%%% P %%%%
+%%%%   %%%%
+%  %%%%%%%%
+%  %%%%%%G%
+%%%%%%%%%%%
+% %%%%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+checkUniform: "False"
+maxMoves: "100"
+numParticles: "5000"
+numGhosts: "1"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+L2Tolerance: "0.1"
+errorMsg: "Particle filter observe test: %d inference errors."
+
diff --git a/tracking/test_cases/q10/4-ParticleUpdate.solution b/tracking/test_cases/q10/4-ParticleUpdate.solution
new file mode 100644
index 0000000..73fe004
--- /dev/null
+++ b/tracking/test_cases/q10/4-ParticleUpdate.solution
@@ -0,0 +1,10 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(1, 3): 0.25, (2, 3): 0.25, (3, 3): 0.25, (4, 3): 0.25, }, ]
+1 East [{(1, 3): 0.0, (2, 3): 0.244094488189, (3, 3): 0.251968503937, (4, 3): 0.503937007874, (1, 1): 0.0, }, ]
+2 Stop [{(1, 3): 0.0, (2, 3): 0.0, (3, 3): 0.832898172324, (4, 3): 0.167101827676, (1, 1): 0.0, }, ]
+3 West [{(1, 3): 0.0, (2, 3): 0.0, (3, 3): 0.828432604507, (4, 3): 0.171567395493, (1, 1): 0.0, }, ]
+4 East [{(1, 3): 0.0, (2, 3): 0.0, (3, 3): 0.707114765821, (4, 3): 0.292885234179, (1, 1): 0.0, }, ]
+5 East [{(1, 3): 0.0, (2, 3): 0.0, (3, 3): 0.905833634776, (4, 3): 0.0941663652244, (1, 1): 0.0, }, ]
+6 None [{(1, 3): 0.0, (2, 3): 0.0, (3, 3): 0.0, (4, 3): 0.0, (1, 1): 0.0, }, ]
+"""
diff --git a/tracking/test_cases/q10/4-ParticleUpdate.test b/tracking/test_cases/q10/4-ParticleUpdate.test
new file mode 100644
index 0000000..ede193a
--- /dev/null
+++ b/tracking/test_cases/q10/4-ParticleUpdate.test
@@ -0,0 +1,25 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%
+%P  G%
+%%%%%%
+% %%%%
+%%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+checkUniform: "False"
+maxMoves: "100"
+numParticles: "5000"
+numGhosts: "1"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+L2Tolerance: "0.05"
+errorMsg: "Particle filter observe test: %d inference errors."
+
diff --git a/tracking/test_cases/q10/5-ParticleUpdate.solution b/tracking/test_cases/q10/5-ParticleUpdate.solution
new file mode 100644
index 0000000..5c15c6c
--- /dev/null
+++ b/tracking/test_cases/q10/5-ParticleUpdate.solution
@@ -0,0 +1 @@
+# This test checks that you successfully handle the case when all particle weights are set to 0
diff --git a/tracking/test_cases/q10/5-ParticleUpdate.test b/tracking/test_cases/q10/5-ParticleUpdate.test
new file mode 100644
index 0000000..3e12783
--- /dev/null
+++ b/tracking/test_cases/q10/5-ParticleUpdate.test
@@ -0,0 +1,43 @@
+class: "ZeroWeightTest"
+
+seed: "188"
+
+layout: """
+%%%%%
+%P%G%
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%%%%
+% %%%
+%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+maxMoves: "100"
+numParticles: "5000"
+numGhosts: "1"
+
+errorMsg: "Particle filter observe test: %d inference errors."
+ghost: "GoSouthAgent"
+inference: "ParticleFilter"
+
+
diff --git a/tracking/test_cases/q10/6-ParticleUpdate.solution b/tracking/test_cases/q10/6-ParticleUpdate.solution
new file mode 100644
index 0000000..37d65ca
--- /dev/null
+++ b/tracking/test_cases/q10/6-ParticleUpdate.solution
@@ -0,0 +1 @@
+# You must win at least 8/10 games with at least 100 points
\ No newline at end of file
diff --git a/tracking/test_cases/q10/6-ParticleUpdate.test b/tracking/test_cases/q10/6-ParticleUpdate.test
new file mode 100644
index 0000000..a33d247
--- /dev/null
+++ b/tracking/test_cases/q10/6-ParticleUpdate.test
@@ -0,0 +1,30 @@
+class: "GameScoreTest"
+
+numRuns: "10"
+numWinsForCredit: "8"
+layout_name: "oneHunt"
+min_score: "100"
+
+layout_str: """
+%%%%%%%%%%
+%    G   %
+%  P     %
+%        %
+%        %
+%        %
+%%%%%%%%%%
+% %%%%%%%%
+%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+maxMoves: "100"
+numParticles: "5000"
+numGhosts: "1"
+
+
+
diff --git a/tracking/test_cases/q10/CONFIG b/tracking/test_cases/q10/CONFIG
new file mode 100644
index 0000000..b4a7732
--- /dev/null
+++ b/tracking/test_cases/q10/CONFIG
@@ -0,0 +1,3 @@
+max_points: "2"
+class: "PassAllTestsQuestion"
+
diff --git a/tracking/test_cases/q11/1-ParticlePredict.solution b/tracking/test_cases/q11/1-ParticlePredict.solution
new file mode 100644
index 0000000..2171b0a
--- /dev/null
+++ b/tracking/test_cases/q11/1-ParticlePredict.solution
@@ -0,0 +1,45 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(2, 7): 0.0588235294118, (4, 7): 0.0588235294118, (1, 3): 0.0588235294118, (3, 3): 0.0588235294118, (1, 6): 0.0588235294118, (5, 6): 0.0588235294118, (5, 7): 0.0588235294118, (5, 4): 0.0588235294118, (1, 4): 0.0588235294118, (1, 5): 0.0588235294118, (3, 5): 0.0588235294118, (2, 3): 0.0588235294118, (4, 3): 0.0588235294118, (1, 7): 0.0588235294118, (3, 7): 0.0588235294118, (5, 3): 0.0588235294118, (5, 5): 0.0588235294118, }, ]
+1 Stop [{(2, 7): 0.0588235294118, (4, 7): 0.0588235294118, (1, 3): 0.0588235294118, (3, 3): 0.0588235294118, (1, 6): 0.0588235294118, (5, 6): 0.0588235294118, (5, 7): 0.0588235294118, (5, 4): 0.0588235294118, (1, 4): 0.0588235294118, (1, 5): 0.0588235294118, (3, 5): 0.0588235294118, (2, 3): 0.0588235294118, (4, 3): 0.0588235294118, (1, 7): 0.0588235294118, (3, 7): 0.0588235294118, (5, 3): 0.0588235294118, (5, 5): 0.0588235294118, }, ]
+2 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+3 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+4 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+5 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+6 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+7 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+8 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+9 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+10 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+11 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+12 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+13 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+14 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+15 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+16 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+17 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+18 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+19 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+20 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+21 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+22 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+23 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+24 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+25 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+26 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+27 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+28 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+29 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+30 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+31 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+32 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+33 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+34 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+35 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+36 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+37 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+38 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+39 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+40 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+41 None [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+"""
diff --git a/tracking/test_cases/q11/1-ParticlePredict.test b/tracking/test_cases/q11/1-ParticlePredict.test
new file mode 100644
index 0000000..a741deb
--- /dev/null
+++ b/tracking/test_cases/q11/1-ParticlePredict.test
@@ -0,0 +1,29 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%
+%   G %
+% %%% %
+% %P% %
+% %%% %
+%     %
+%%%%%%%
+% %%%%%
+%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "40"
+numParticles: "5000"
+numGhosts: "1"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+L2Tolerance: "0.05"
+errorMsg: "Particle filter full test: %d inference errors."
+
diff --git a/tracking/test_cases/q11/2-ParticlePredict.solution b/tracking/test_cases/q11/2-ParticlePredict.solution
new file mode 100644
index 0000000..8e4241f
--- /dev/null
+++ b/tracking/test_cases/q11/2-ParticlePredict.solution
@@ -0,0 +1,45 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(2, 7): 0.0588235294118, (4, 7): 0.0588235294118, (1, 3): 0.0588235294118, (3, 3): 0.0588235294118, (1, 6): 0.0588235294118, (5, 6): 0.0588235294118, (5, 7): 0.0588235294118, (5, 4): 0.0588235294118, (1, 4): 0.0588235294118, (1, 5): 0.0588235294118, (3, 5): 0.0588235294118, (2, 3): 0.0588235294118, (4, 3): 0.0588235294118, (1, 7): 0.0588235294118, (3, 7): 0.0588235294118, (5, 3): 0.0588235294118, (5, 5): 0.0588235294118, }, ]
+1 Stop [{(2, 7): 0.0588235294118, (4, 7): 0.0588235294118, (1, 3): 0.0588235294118, (3, 3): 0.0588235294118, (1, 6): 0.0588235294118, (5, 6): 0.0588235294118, (5, 7): 0.0588235294118, (5, 4): 0.0588235294118, (1, 4): 0.0588235294118, (1, 5): 0.0588235294118, (3, 5): 0.0588235294118, (2, 3): 0.0588235294118, (4, 3): 0.0588235294118, (1, 7): 0.0588235294118, (3, 7): 0.0588235294118, (5, 3): 0.0588235294118, (5, 5): 0.0588235294118, }, ]
+2 Stop [{(2.0, 7.0): 0.0539215686275, (4.0, 7.0): 0.0539215686275, (1.0, 3.0): 0.0686274509804, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0490196078431, (5.0, 4.0): 0.0637254901961, (1.0, 4.0): 0.0637254901961, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0490196078431, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0686274509804, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+3 Stop [{(2.0, 7.0): 0.0498366013072, (4.0, 7.0): 0.0498366013072, (1.0, 3.0): 0.0743464052288, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0539215686275, (5.0, 6.0): 0.0539215686275, (5.0, 7.0): 0.0449346405229, (5.0, 4.0): 0.0682189542484, (1.0, 4.0): 0.0682189542484, (1.0, 5.0): 0.0600490196078, (2.0, 3.0): 0.062091503268, (4.0, 3.0): 0.062091503268, (1.0, 7.0): 0.0449346405229, (3.0, 7.0): 0.0555555555556, (5.0, 3.0): 0.0743464052288, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0600490196078, }, ]
+4 Stop [{(2.0, 7.0): 0.046364379085, (4.0, 7.0): 0.046364379085, (1.0, 3.0): 0.0795887799564, (3.0, 3.0): 0.0610021786492, (1.0, 6.0): 0.0509599673203, (5.0, 6.0): 0.0509599673203, (5.0, 7.0): 0.0413262527233, (5.0, 4.0): 0.0718613834423, (1.0, 4.0): 0.0718613834423, (1.0, 5.0): 0.0590277777778, (2.0, 3.0): 0.0650871459695, (4.0, 3.0): 0.0650871459695, (1.0, 7.0): 0.0413262527233, (3.0, 7.0): 0.05174291939, (5.0, 3.0): 0.0795887799564, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0590277777778, }, ]
+5 Stop [{(2.0, 7.0): 0.0430339960058, (4.0, 7.0): 0.0430339960058, (1.0, 3.0): 0.0841560003631, (3.0, 3.0): 0.0637254901961, (1.0, 6.0): 0.0481600626362, (5.0, 6.0): 0.0481600626362, (5.0, 7.0): 0.0385263480392, (5.0, 4.0): 0.0740088280683, (1.0, 4.0): 0.0740088280683, (1.0, 5.0): 0.0582022739651, (2.0, 3.0): 0.0685593681917, (4.0, 3.0): 0.0685593681917, (1.0, 7.0): 0.0385263480392, (3.0, 7.0): 0.0481572258533, (5.0, 3.0): 0.0841560003631, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0582022739651, }, ]
+6 Stop [{(2.0, 7.0): 0.0400286609628, (4.0, 7.0): 0.0400286609628, (1.0, 3.0): 0.0879095368857, (3.0, 3.0): 0.0669480755265, (1.0, 6.0): 0.0458537581699, (5.0, 6.0): 0.0458537581699, (5.0, 7.0): 0.0360162680041, (5.0, 4.0): 0.0756553441207, (1.0, 4.0): 0.0756553441207, (1.0, 5.0): 0.0571328068264, (2.0, 3.0): 0.072146952917, (4.0, 3.0): 0.072146952917, (1.0, 7.0): 0.0360162680041, (3.0, 7.0): 0.0447417392883, (5.0, 3.0): 0.0879095368857, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0571328068264, }, ]
+7 Stop [{(2.0, 7.0): 0.0372608670847, (4.0, 7.0): 0.0372608670847, (1.0, 3.0): 0.0911798353279, (3.0, 3.0): 0.0704139937868, (1.0, 6.0): 0.0437547752511, (5.0, 6.0): 0.0437547752511, (5.0, 7.0): 0.0338103935311, (5.0, 4.0): 0.0767834184053, (1.0, 4.0): 0.0767834184053, (1.0, 5.0): 0.0561239168217, (2.0, 3.0): 0.0756681884431, (4.0, 3.0): 0.0756681884431, (1.0, 7.0): 0.0338103935311, (3.0, 7.0): 0.0415996870713, (5.0, 3.0): 0.0911798353279, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0561239168217, }, ]
+8 Stop [{(2.0, 7.0): 0.0347394497681, (4.0, 7.0): 0.0347394497681, (1.0, 3.0): 0.0940077171263, (3.0, 3.0): 0.0739167902243, (1.0, 6.0): 0.0418748697838, (5.0, 6.0): 0.0418748697838, (5.0, 7.0): 0.0318115812238, (5.0, 4.0): 0.0776510914548, (1.0, 4.0): 0.0776510914548, (1.0, 5.0): 0.0551042214323, (2.0, 3.0): 0.0790873391859, (4.0, 3.0): 0.0790873391859, (1.0, 7.0): 0.0318115812238, (3.0, 7.0): 0.0387071404136, (5.0, 3.0): 0.0940077171263, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0551042214323, }, ]
+9 Stop [{(2.0, 7.0): 0.0324350920332, (4.0, 7.0): 0.0324350920332, (1.0, 3.0): 0.0965238978315, (3.0, 3.0): 0.0773638228654, (1.0, 6.0): 0.0401505634159, (5.0, 6.0): 0.0401505634159, (5.0, 7.0): 0.0300014293413, (5.0, 4.0): 0.0783007892886, (1.0, 4.0): 0.0783007892886, (1.0, 5.0): 0.0541262631137, (2.0, 3.0): 0.0823372821789, (4.0, 3.0): 0.0823372821789, (1.0, 7.0): 0.0300014293413, (3.0, 7.0): 0.0360620133166, (5.0, 3.0): 0.0965238978315, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0541262631137, }, ]
+10 Stop [{(2.0, 7.0): 0.0303327257853, (4.0, 7.0): 0.0303327257853, (1.0, 3.0): 0.0987707879811, (3.0, 3.0): 0.0806794624077, (1.0, 6.0): 0.038569921303, (5.0, 6.0): 0.038569921303, (5.0, 7.0): 0.0283496955337, (5.0, 4.0): 0.0788129614895, (1.0, 4.0): 0.0788129614895, (1.0, 5.0): 0.0531820448086, (2.0, 3.0): 0.0854083342919, (4.0, 3.0): 0.0854083342919, (1.0, 7.0): 0.0283496955337, (3.0, 7.0): 0.0336440657943, (5.0, 3.0): 0.0987707879811, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0531820448086, }, ]
+11 Stop [{(2.0, 7.0): 0.0284130210766, (4.0, 7.0): 0.0284130210766, (1.0, 3.0): 0.100799521502, (3.0, 3.0): 0.0838320436638, (1.0, 6.0): 0.0371128392948, (5.0, 6.0): 0.0371128392948, (5.0, 7.0): 0.0268408128043, (5.0, 4.0): 0.0792178587704, (1.0, 4.0): 0.0792178587704, (1.0, 5.0): 0.052283712226, (2.0, 3.0): 0.0882861948936, (4.0, 3.0): 0.0882861948936, (1.0, 7.0): 0.0268408128043, (3.0, 7.0): 0.0314365057883, (5.0, 3.0): 0.100799521502, (1, 1): 0.0588235294118, (5.0, 5.0): 0.052283712226, }, ]
+12 Stop [{(2.0, 7.0): 0.0266600454894, (4.0, 7.0): 0.0266600454894, (1.0, 3.0): 0.102637501517, (3.0, 3.0): 0.086801477817, (1.0, 6.0): 0.0357695442823, (5.0, 6.0): 0.0357695442823, (5.0, 7.0): 0.0254594200503, (5.0, 4.0): 0.0795461613064, (1.0, 4.0): 0.0795461613064, (1.0, 5.0): 0.0514318123965, (2.0, 3.0): 0.0909725866866, (4.0, 3.0): 0.0909725866866, (1.0, 7.0): 0.0254594200503, (3.0, 7.0): 0.0294208493139, (5.0, 3.0): 0.102637501517, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0514318123965, }, ]
+13 Stop [{(2.0, 7.0): 0.0250584866137, (4.0, 7.0): 0.0250584866137, (1.0, 3.0): 0.104309776721, (3.0, 3.0): 0.0895822170634, (1.0, 6.0): 0.0345300491949, (5.0, 6.0): 0.0345300491949, (5.0, 7.0): 0.024193922913, (5.0, 4.0): 0.0798149470306, (1.0, 4.0): 0.0798149470306, (1.0, 5.0): 0.0506292655669, (2.0, 3.0): 0.0934705220069, (4.0, 3.0): 0.0934705220069, (1.0, 7.0): 0.024193922913, (3.0, 7.0): 0.0275803134309, (5.0, 3.0): 0.104309776721, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0506292655669, }, ]
+14 Stop [{(2.0, 7.0): 0.0235947474097, (4.0, 7.0): 0.0235947474097, (1.0, 3.0): 0.105834239758, (3.0, 3.0): 0.0921744203591, (1.0, 6.0): 0.0333867901469, (5.0, 6.0): 0.0333867901469, (5.0, 7.0): 0.0230338218982, (5.0, 4.0): 0.0800382951148, (1.0, 4.0): 0.0800382951148, (1.0, 5.0): 0.0498760777468, (2.0, 3.0): 0.0957875052638, (4.0, 3.0): 0.0957875052638, (1.0, 7.0): 0.0230338218982, (3.0, 7.0): 0.0258990955527, (5.0, 3.0): 0.105834239758, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0498760777468, }, ]
+15 Stop [{(2.0, 7.0): 0.0222564031287, (4.0, 7.0): 0.0222564031287, (1.0, 3.0): 0.107226395898, (3.0, 3.0): 0.0945831436289, (1.0, 6.0): 0.0323326279225, (5.0, 6.0): 0.0323326279225, (5.0, 7.0): 0.0219700688145, (5.0, 4.0): 0.0802256925714, (1.0, 4.0): 0.0802256925714, (1.0, 5.0): 0.0491719882889, (2.0, 3.0): 0.097932055127, (4.0, 3.0): 0.097932055127, (1.0, 7.0): 0.0219700688145, (3.0, 7.0): 0.0243628634574, (5.0, 3.0): 0.107226395898, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0491719882889, }, ]
+16 Stop [{(2.0, 7.0): 0.0210322727323, (4.0, 7.0): 0.0210322727323, (1.0, 3.0): 0.108498996627, (3.0, 3.0): 0.0968157512943, (1.0, 6.0): 0.0313611884601, (5.0, 6.0): 0.0313611884601, (5.0, 7.0): 0.0209944752272, (5.0, 4.0): 0.0803845492533, (1.0, 4.0): 0.0803845492533, (1.0, 5.0): 0.0485157341763, (2.0, 3.0): 0.0999138648846, (4.0, 3.0): 0.0999138648846, (1.0, 7.0): 0.0209944752272, (3.0, 7.0): 0.0229585565716, (5.0, 3.0): 0.108498996627, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0485157341763, }, ]
+17 Stop [{(2.0, 7.0): 0.0199122285748, (4.0, 7.0): 0.0199122285748, (1.0, 3.0): 0.109663228464, (3.0, 3.0): 0.0988811603545, (1.0, 6.0): 0.0304664682727, (5.0, 6.0): 0.0304664682727, (5.0, 7.0): 0.0200996734993, (5.0, 4.0): 0.0805203366106, (1.0, 4.0): 0.0805203366106, (1.0, 5.0): 0.0479056650875, (2.0, 3.0): 0.101742870935, (4.0, 3.0): 0.101742870935, (1.0, 7.0): 0.0200996734993, (3.0, 7.0): 0.0216743673454, (5.0, 3.0): 0.109663228464, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0479056650875, }, ]
+18 Stop [{(2.0, 7.0): 0.0188871170149, (4.0, 7.0): 0.0188871170149, (1.0, 3.0): 0.110728868105, (3.0, 3.0): 0.100788967408, (1.0, 6.0): 0.0296428700897, (5.0, 6.0): 0.0296428700897, (5.0, 7.0): 0.0192789449679, (5.0, 4.0): 0.0806373261844, (1.0, 4.0): 0.0806373261844, (1.0, 5.0): 0.0473397345609, (2.0, 3.0): 0.103429086585, (4.0, 3.0): 0.103429086585, (1.0, 7.0): 0.0192789449679, (3.0, 7.0): 0.020499608165, (5.0, 3.0): 0.110728868105, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0473397345609, }, ]
+19 Stop [{(2.0, 7.0): 0.0179486446353, (4.0, 7.0): 0.0179486446353, (1.0, 3.0): 0.111704647989, (3.0, 3.0): 0.102549046859, (1.0, 6.0): 0.0288851236466, (5.0, 6.0): 0.0288851236466, (5.0, 7.0): 0.018526159436, (5.0, 4.0): 0.0807388215282, (1.0, 4.0): 0.0807388215282, (1.0, 5.0): 0.0468157002311, (2.0, 3.0): 0.104982307366, (4.0, 3.0): 0.104982307366, (1.0, 7.0): 0.018526159436, (3.0, 7.0): 0.0194246140649, (5.0, 3.0): 0.111704647989, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0468157002311, }, ]
+20 Stop [{(2.0, 7.0): 0.0170892927591, (4.0, 7.0): 0.0170892927591, (1.0, 3.0): 0.112598395882, (3.0, 3.0): 0.10417122053, (1.0, 6.0): 0.0281882856874, (5.0, 6.0): 0.0281882856874, (5.0, 7.0): 0.0178357023157, (5.0, 4.0): 0.0808274381605, (1.0, 4.0): 0.0808274381605, (1.0, 5.0): 0.0463311922631, (2.0, 3.0): 0.106412000738, (4.0, 3.0): 0.106412000738, (1.0, 7.0): 0.0178357023157, (3.0, 7.0): 0.0184406344451, (5.0, 3.0): 0.112598395882, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0463311922631, }, ]
+21 Stop [{(2.0, 7.0): 0.016302234647, (4.0, 7.0): 0.016302234647, (1.0, 3.0): 0.11341718462, (3.0, 3.0): 0.105665074002, (1.0, 6.0): 0.0275477206455, (5.0, 6.0): 0.0275477206455, (5.0, 7.0): 0.0172024279205, (5.0, 4.0): 0.0809052542992, (1.0, 4.0): 0.0809052542992, (1.0, 5.0): 0.0458838004496, (2.0, 3.0): 0.107727205717, (4.0, 3.0): 0.107727205717, (1.0, 7.0): 0.0172024279205, (3.0, 7.0): 0.0175397399878, (5.0, 3.0): 0.11341718462, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0458838004496, }, ]
+22 Stop [{(2.0, 7.0): 0.0155812651917, (4.0, 7.0): 0.0155812651917, (1.0, 3.0): 0.114167423929, (3.0, 3.0): 0.107039828479, (1.0, 6.0): 0.026959094234, (5.0, 6.0): 0.026959094234, (5.0, 7.0): 0.0166216153572, (5.0, 4.0): 0.0809739420064, (1.0, 4.0): 0.0809739420064, (1.0, 5.0): 0.04547112401, (2.0, 3.0): 0.108936488113, (4.0, 3.0): 0.108936488113, (1.0, 7.0): 0.0166216153572, (3.0, 7.0): 0.0167147364273, (5.0, 3.0): 0.114167423929, (1, 1): 0.0588235294118, (5.0, 5.0): 0.04547112401, }, ]
+23 Stop [{(2.0, 7.0): 0.0149207377123, (4.0, 7.0): 0.0149207377123, (1.0, 3.0): 0.114854941684, (3.0, 3.0): 0.108304268235, (1.0, 6.0): 0.0264183622396, (5.0, 6.0): 0.0264183622396, (5.0, 7.0): 0.0160889324617, (5.0, 4.0): 0.0810348554828, (1.0, 4.0): 0.0810348554828, (1.0, 5.0): 0.0450908136211, (2.0, 3.0): 0.110047913507, (4.0, 3.0): 0.110047913507, (1.0, 7.0): 0.0160889324617, (3.0, 7.0): 0.0159590889369, (5.0, 3.0): 0.114854941684, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0450908136211, }, ]
+24 Stop [{(2.0, 7.0): 0.0143155086651, (4.0, 7.0): 0.0143155086651, (1.0, 3.0): 0.115485046138, (3.0, 3.0): 0.109466698416, (1.0, 6.0): 0.025921760196, (5.0, 6.0): 0.025921760196, (5.0, 7.0): 0.0156004029127, (5.0, 4.0): 0.0810891012425, (1.0, 4.0): 0.0810891012425, (1.0, 5.0): 0.0447405983958, (2.0, 3.0): 0.111069041142, (4.0, 3.0): 0.111069041142, (1.0, 7.0): 0.0156004029127, (3.0, 7.0): 0.0152668547871, (5.0, 3.0): 0.115485046138, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0447405983958, }, ]
+25 Stop [{(2.0, 7.0): 0.0137608885456, (4.0, 7.0): 0.0137608885456, (1.0, 3.0): 0.116062579715, (3.0, 3.0): 0.1105349269, (1.0, 6.0): 0.0254657911043, (5.0, 6.0): 0.0254657911043, (5.0, 7.0): 0.0151523769989, (5.0, 4.0): 0.081137589888, (1.0, 4.0): 0.081137589888, (1.0, 5.0): 0.0444183050076, (2.0, 3.0): 0.112006928565, (4.0, 3.0): 0.112006928565, (1.0, 7.0): 0.0151523769989, (3.0, 7.0): 0.0146326240391, (5.0, 3.0): 0.116062579715, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0444183050076, }, ]
+26 Stop [{(2.0, 7.0): 0.0132525984446, (4.0, 7.0): 0.0132525984446, (1.0, 3.0): 0.116591964371, (3.0, 3.0): 0.111516261344, (1.0, 6.0): 0.0250472125274, (5.0, 6.0): 0.0250472125274, (5.0, 7.0): 0.0147415048743, (5.0, 4.0): 0.0811810765473, (1.0, 4.0): 0.0811810765473, (1.0, 5.0): 0.044121869276, (2.0, 3.0): 0.11286814506, (4.0, 3.0): 0.11286814506, (1.0, 7.0): 0.0147415048743, (3.0, 7.0): 0.0140514670435, (5.0, 3.0): 0.116591964371, (1, 1): 0.0588235294118, (5.0, 5.0): 0.044121869276, }, ]
+27 Stop [{(2.0, 7.0): 0.0127867313813, (4.0, 7.0): 0.0127867313813, (1.0, 3.0): 0.117077241417, (3.0, 3.0): 0.112417517155, (1.0, 6.0): 0.024663022888, (5.0, 6.0): 0.024663022888, (5.0, 7.0): 0.0143647121653, (5.0, 4.0): 0.0812201918984, (1.0, 4.0): 0.0812201918984, (1.0, 5.0): 0.0438493427196, (2.0, 3.0): 0.113658790258, (4.0, 3.0): 0.113658790258, (1.0, 7.0): 0.0143647121653, (3.0, 7.0): 0.0135188879776, (5.0, 3.0): 0.117077241417, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0438493427196, }, ]
+28 Stop [{(2.0, 7.0): 0.0123597178276, (4.0, 7.0): 0.0123597178276, (1.0, 3.0): 0.117522106508, (3.0, 3.0): 0.113245032557, (1.0, 6.0): 0.0243104474846, (5.0, 6.0): 0.0243104474846, (5.0, 7.0): 0.0140191775571, (5.0, 4.0): 0.0812554664735, (1.0, 4.0): 0.0812554664735, (1.0, 5.0): 0.0435988950985, (2.0, 3.0): 0.114384516277, (4.0, 3.0): 0.114384516277, (1.0, 7.0): 0.0140191775571, (3.0, 7.0): 0.0130307835801, (5.0, 3.0): 0.117522106508, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0435988950985, }, ]
+29 Stop [{(2.0, 7.0): 0.0119682948585, (4.0, 7.0): 0.0119682948585, (1.0, 3.0): 0.117929940832, (3.0, 3.0): 0.11400468837, (1.0, 6.0): 0.0239869244243, (5.0, 6.0): 0.0239869244243, (5.0, 7.0): 0.013702312203, (5.0, 4.0): 0.0812873496702, (1.0, 4.0): 0.0812873496702, (1.0, 5.0): 0.0433688141353, (2.0, 3.0): 0.11505055178, (4.0, 3.0): 0.11505055178, (1.0, 7.0): 0.013702312203, (3.0, 7.0): 0.0125834064118, (5.0, 3.0): 0.117929940832, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0433688141353, }, ]
+30 Stop [{(2.0, 7.0): 0.0116094784742, (4.0, 7.0): 0.0116094784742, (1.0, 3.0): 0.118303839039, (3.0, 3.0): 0.114701930644, (1.0, 6.0): 0.0236900907414, (5.0, 6.0): 0.0236900907414, (5.0, 7.0): 0.0134117407763, (5.0, 4.0): 0.0813162247624, (1.0, 4.0): 0.0813162247624, (1.0, 5.0): 0.0431575031635, (2.0, 3.0): 0.115661726994, (4.0, 3.0): 0.115661726994, (1.0, 7.0): 0.0134117407763, (3.0, 7.0): 0.0121733320429, (5.0, 3.0): 0.118303839039, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0431575031635, }, ]
+31 Stop [{(2.0, 7.0): 0.0112805386998, (4.0, 7.0): 0.0112805386998, (1.0, 3.0): 0.118646634392, (3.0, 3.0): 0.115341794877, (1.0, 6.0): 0.0234177688644, (5.0, 6.0): 0.0234177688644, (5.0, 7.0): 0.0131452840375, (5.0, 4.0): 0.0813424207854, (1.0, 4.0): 0.0813424207854, (1.0, 5.0): 0.0429634773522, (2.0, 3.0): 0.116222498892, (4.0, 3.0): 0.116222498892, (1.0, 7.0): 0.0131452840375, (3.0, 7.0): 0.0117974296638, (5.0, 3.0): 0.118646634392, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0429634773522, }, ]
+32 Stop [{(2.0, 7.0): 0.0109789771305, (4.0, 7.0): 0.0109789771305, (1.0, 3.0): 0.118960921488, (3.0, 3.0): 0.115928930887, (1.0, 6.0): 0.0231679535729, (5.0, 6.0): 0.0231679535729, (5.0, 7.0): 0.0129009427921, (5.0, 4.0): 0.0813662220032, (1.0, 4.0): 0.0813662220032, (1.0, 5.0): 0.0427853589666, (2.0, 3.0): 0.116736976054, (4.0, 3.0): 0.116736976054, (1.0, 7.0): 0.0129009427921, (3.0, 7.0): 0.0114528356878, (5.0, 3.0): 0.118960921488, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0427853589666, }, ]
+33 Stop [{(2.0, 7.0): 0.0107025066375, (4.0, 7.0): 0.0107025066375, (1.0, 3.0): 0.119249076849, (3.0, 3.0): 0.116467627665, (1.0, 6.0): 0.0229387995309, (5.0, 6.0): 0.0229387995309, (5.0, 7.0): 0.0126768831347, (5.0, 4.0): 0.0813878754799, (1.0, 4.0): 0.0813878754799, (1.0, 5.0): 0.0426218720289, (2.0, 3.0): 0.11720894281, (4.0, 3.0): 0.11720894281, (1.0, 7.0): 0.0126768831347, (3.0, 7.0): 0.011136929983, (5.0, 3.0): 0.119249076849, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0426218720289, }, ]
+34 Stop [{(2.0, 7.0): 0.0104490329905, (4.0, 7.0): 0.0104490329905, (1.0, 3.0): 0.119513277626, (3.0, 3.0): 0.116961837761, (1.0, 6.0): 0.0227286094573, (5.0, 6.0): 0.0227286094573, (5.0, 7.0): 0.0124714228789, (5.0, 4.0): 0.0814075971673, (1.0, 4.0): 0.0814075971673, (1.0, 5.0): 0.0424718366426, (2.0, 3.0): 0.117641882441, (4.0, 3.0): 0.117641882441, (1.0, 7.0): 0.0124714228789, (3.0, 7.0): 0.0108473144193, (5.0, 3.0): 0.119513277626, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0424718366426, }, ]
+35 Stop [{(2.0, 7.0): 0.0102166381896, (4.0, 7.0): 0.0102166381896, (1.0, 3.0): 0.119755518606, (3.0, 3.0): 0.117415200881, (1.0, 6.0): 0.0225358229644, (5.0, 6.0): 0.0225358229644, (5.0, 7.0): 0.0122830190809, (5.0, 4.0): 0.0814255768218, (1.0, 4.0): 0.0814255768218, (1.0, 5.0): 0.0423341631811, (2.0, 3.0): 0.118038999276, (4.0, 3.0): 0.118038999276, (1.0, 7.0): 0.0122830190809, (3.0, 7.0): 0.0105817934668, (5.0, 3.0): 0.119755518606, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0423341631811, }, ]
+36 Stop [{(2.0, 7.0): 0.0100035653224, (4.0, 7.0): 0.0100035653224, (1.0, 3.0): 0.119977627705, (3.0, 3.0): 0.117831066478, (1.0, 6.0): 0.0223590060768, (5.0, 6.0): 0.0223590060768, (5.0, 7.0): 0.0121102565745, (5.0, 4.0): 0.081441981998, (1.0, 4.0): 0.081441981998, (1.0, 5.0): 0.042207846483, (2.0, 3.0): 0.118403239588, (4.0, 3.0): 0.118403239588, (1.0, 7.0): 0.0121102565745, (3.0, 7.0): 0.0103383566154, (5.0, 3.0): 0.119977627705, (1, 1): 0.0588235294118, (5.0, 5.0): 0.042207846483, }, ]
+37 Stop [{(2.0, 7.0): 0.00980820478954, (4.0, 7.0): 0.00980820478954, (1.0, 3.0): 0.120181280097, (3.0, 3.0): 0.118212515218, (1.0, 6.0): 0.0221968414272, (5.0, 6.0): 0.0221968414272, (5.0, 7.0): 0.011951837437, (5.0, 4.0): 0.0814569613093, (1.0, 4.0): 0.0814569613093, (1.0, 5.0): 0.0420919601587, (2.0, 3.0): 0.118737311257, (4.0, 3.0): 0.118737311257, (1.0, 7.0): 0.011951837437, (3.0, 7.0): 0.01011516242, (5.0, 3.0): 0.120181280097, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0420919601587, }, ]
+38 Stop [{(2.0, 7.0): 0.00962908176243, (4.0, 7.0): 0.00962908176243, (1.0, 3.0): 0.120368011106, (3.0, 3.0): 0.118562379244, (1.0, 6.0): 0.022048119115, (5.0, 6.0): 0.022048119115, (5.0, 7.0): 0.0118065713126, (5.0, 4.0): 0.0814706471055, (1.0, 4.0): 0.0814706471055, (1.0, 5.0): 0.0419856510806, (2.0, 3.0): 0.11904370219, (4.0, 3.0): 0.11904370219, (1.0, 7.0): 0.0118065713126, (3.0, 7.0): 0.0099105239997, (5.0, 3.0): 0.120368011106, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0419856510806, }, ]
+39 Stop [{(2.0, 7.0): 0.00946484474885, (4.0, 7.0): 0.00946484474885, (1.0, 3.0): 0.120539227985, (3.0, 3.0): 0.118883261208, (1.0, 6.0): 0.0219117282052, (5.0, 6.0): 0.0219117282052, (5.0, 7.0): 0.0116733665277, (5.0, 4.0): 0.0814831576853, (1.0, 4.0): 0.0814831576853, (1.0, 5.0): 0.041888134104, (2.0, 3.0): 0.119324697513, (4.0, 3.0): 0.119324697513, (1.0, 7.0): 0.0116733665277, (3.0, 7.0): 0.00972289584152, (5.0, 3.0): 0.120539227985, (1, 1): 0.0588235294118, (5.0, 5.0): 0.041888134104, }, ]
+40 Stop [{(2.0, 7.0): 0.00931425516204, (4.0, 7.0): 0.00931425516204, (1.0, 3.0): 0.120696220675, (3.0, 3.0): 0.119177552078, (1.0, 6.0): 0.0217866488411, (5.0, 6.0): 0.0217866488411, (5.0, 7.0): 0.0115512219328, (5.0, 4.0): 0.0814945991349, (1.0, 4.0): 0.0814945991349, (1.0, 5.0): 0.0417986870499, (2.0, 3.0): 0.119582395569, (4.0, 3.0): 0.119582395569, (1.0, 7.0): 0.0115512219328, (3.0, 7.0): 0.00955086177974, (5.0, 3.0): 0.120696220675, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0417986870499, }, ]
+41 None [{(2.0, 7.0): 0.00931425516204, (4.0, 7.0): 0.00931425516204, (1.0, 3.0): 0.120696220675, (3.0, 3.0): 0.119177552078, (1.0, 6.0): 0.0217866488411, (5.0, 6.0): 0.0217866488411, (5.0, 7.0): 0.0115512219328, (5.0, 4.0): 0.0814945991349, (1.0, 4.0): 0.0814945991349, (1.0, 5.0): 0.0417986870499, (2.0, 3.0): 0.119582395569, (4.0, 3.0): 0.119582395569, (1.0, 7.0): 0.0115512219328, (3.0, 7.0): 0.00955086177974, (5.0, 3.0): 0.120696220675, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0417986870499, }, ]
+"""
diff --git a/tracking/test_cases/q11/2-ParticlePredict.test b/tracking/test_cases/q11/2-ParticlePredict.test
new file mode 100644
index 0000000..4e225cf
--- /dev/null
+++ b/tracking/test_cases/q11/2-ParticlePredict.test
@@ -0,0 +1,29 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%
+%  G  %
+% %%% %
+% %P% %
+% %%% %
+%     %
+%%%%%%%
+% %%%%%
+%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "40"
+numParticles: "5000"
+numGhosts: "1"
+ghost: "GoSouthAgent"
+inference: "ParticleFilter"
+L2Tolerance: "0.05"
+errorMsg: "Particle filter full test: %d inference errors."
+
diff --git a/tracking/test_cases/q11/3-ParticlePredict.solution b/tracking/test_cases/q11/3-ParticlePredict.solution
new file mode 100644
index 0000000..1734ee9
--- /dev/null
+++ b/tracking/test_cases/q11/3-ParticlePredict.solution
@@ -0,0 +1,105 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(5, 9): 0.0151515151515, (4, 7): 0.0151515151515, (4, 4): 0.0151515151515, (4, 8): 0.0151515151515, (5, 6): 0.0151515151515, (2, 8): 0.0151515151515, (3, 11): 0.0151515151515, (4, 6): 0.0151515151515, (8, 9): 0.0151515151515, (4, 12): 0.0151515151515, (2, 12): 0.0151515151515, (7, 11): 0.0151515151515, (3, 7): 0.0151515151515, (2, 5): 0.0151515151515, (1, 11): 0.0151515151515, (8, 5): 0.0151515151515, (5, 8): 0.0151515151515, (7, 5): 0.0151515151515, (4, 9): 0.0151515151515, (5, 5): 0.0151515151515, (2, 9): 0.0151515151515, (3, 10): 0.0151515151515, (6, 10): 0.0151515151515, (8, 10): 0.0151515151515, (1, 5): 0.0151515151515, (9, 11): 0.0151515151515, (4, 11): 0.0151515151515, (3, 6): 0.0151515151515, (8, 6): 0.0151515151515, (3, 5): 0.0151515151515, (9, 7): 0.0151515151515, (4, 10): 0.0151515151515, (2, 6): 0.0151515151515, (6, 6): 0.0151515151515, (8, 2): 0.0151515151515, (5, 11): 0.0151515151515, (4, 5): 0.0151515151515, (8, 11): 0.0151515151515, (6, 11): 0.0151515151515, (2, 7): 0.0151515151515, (7, 7): 0.0151515151515, (7, 10): 0.0151515151515, (3, 9): 0.0151515151515, (1, 9): 0.0151515151515, (8, 7): 0.0151515151515, (6, 12): 0.0151515151515, (6, 4): 0.0151515151515, (2, 10): 0.0151515151515, (6, 5): 0.0151515151515, (7, 9): 0.0151515151515, (6, 7): 0.0151515151515, (6, 9): 0.0151515151515, (5, 10): 0.0151515151515, (6, 8): 0.0151515151515, (8, 12): 0.0151515151515, (5, 7): 0.0151515151515, (2, 11): 0.0151515151515, (9, 9): 0.0151515151515, (2, 4): 0.0151515151515, (3, 8): 0.0151515151515, (8, 8): 0.0151515151515, (1, 7): 0.0151515151515, (9, 5): 0.0151515151515, (7, 8): 0.0151515151515, (7, 6): 0.0151515151515, (8, 4): 0.0151515151515, }, ]
+1 Stop [{(5, 9): 0.0151515151515, (4, 7): 0.0151515151515, (4, 4): 0.0151515151515, (4, 8): 0.0151515151515, (5, 6): 0.0151515151515, (2, 8): 0.0151515151515, (3, 11): 0.0151515151515, (4, 6): 0.0151515151515, (8, 9): 0.0151515151515, (4, 12): 0.0151515151515, (2, 12): 0.0151515151515, (7, 11): 0.0151515151515, (3, 7): 0.0151515151515, (2, 5): 0.0151515151515, (1, 11): 0.0151515151515, (8, 5): 0.0151515151515, (5, 8): 0.0151515151515, (7, 5): 0.0151515151515, (4, 9): 0.0151515151515, (5, 5): 0.0151515151515, (2, 9): 0.0151515151515, (3, 10): 0.0151515151515, (6, 10): 0.0151515151515, (8, 10): 0.0151515151515, (1, 5): 0.0151515151515, (9, 11): 0.0151515151515, (4, 11): 0.0151515151515, (3, 6): 0.0151515151515, (8, 6): 0.0151515151515, (3, 5): 0.0151515151515, (9, 7): 0.0151515151515, (4, 10): 0.0151515151515, (2, 6): 0.0151515151515, (6, 6): 0.0151515151515, (8, 2): 0.0151515151515, (5, 11): 0.0151515151515, (4, 5): 0.0151515151515, (8, 11): 0.0151515151515, (6, 11): 0.0151515151515, (2, 7): 0.0151515151515, (7, 7): 0.0151515151515, (7, 10): 0.0151515151515, (3, 9): 0.0151515151515, (1, 9): 0.0151515151515, (8, 7): 0.0151515151515, (6, 12): 0.0151515151515, (6, 4): 0.0151515151515, (2, 10): 0.0151515151515, (6, 5): 0.0151515151515, (7, 9): 0.0151515151515, (6, 7): 0.0151515151515, (6, 9): 0.0151515151515, (5, 10): 0.0151515151515, (6, 8): 0.0151515151515, (8, 12): 0.0151515151515, (5, 7): 0.0151515151515, (2, 11): 0.0151515151515, (9, 9): 0.0151515151515, (2, 4): 0.0151515151515, (3, 8): 0.0151515151515, (8, 8): 0.0151515151515, (1, 7): 0.0151515151515, (9, 5): 0.0151515151515, (7, 8): 0.0151515151515, (7, 6): 0.0151515151515, (8, 4): 0.0151515151515, }, ]
+2 Stop [{(5.0, 9.0): 0.0151515151515, (4.0, 7.0): 0.0151515151515, (6.0, 10.0): 0.0151515151515, (4.0, 8.0): 0.0151515151515, (5.0, 6.0): 0.0164141414141, (2.0, 8.0): 0.0131313131313, (3.0, 11.0): 0.0106060606061, (4.0, 6.0): 0.0151515151515, (8.0, 9.0): 0.0217171717172, (4.0, 12.0): 0.00757575757576, (2.0, 12.0): 0.00757575757576, (7.0, 11.0): 0.0106060606061, (3.0, 7.0): 0.0151515151515, (2.0, 5.0): 0.0275252525253, (1.0, 11.0): 0.010101010101, (8.0, 5.0): 0.0275252525253, (5.0, 8.0): 0.0151515151515, (7.0, 5.0): 0.0138888888889, (4.0, 9.0): 0.0151515151515, (5.0, 5.0): 0.0138888888889, (2.0, 9.0): 0.0217171717172, (3.0, 10.0): 0.0166666666667, (4.0, 4.0): 0.0126262626263, (8.0, 10.0): 0.0131313131313, (1.0, 5.0): 0.010101010101, (9.0, 11.0): 0.010101010101, (4.0, 11.0): 0.0212121212121, (3.0, 6.0): 0.0169191919192, (8.0, 6.0): 0.0131313131313, (3.0, 5.0): 0.0138888888889, (1, 1): 0.0151515151515, (9.0, 7.0): 0.010101010101, (4.0, 10.0): 0.0151515151515, (2.0, 6.0): 0.0131313131313, (6.0, 6.0): 0.0151515151515, (7.0, 10.0): 0.0166666666667, (5.0, 11.0): 0.0106060606061, (4.0, 5.0): 0.0227272727273, (8.0, 11.0): 0.0262626262626, (6.0, 11.0): 0.0212121212121, (2.0, 7.0): 0.0217171717172, (7.0, 7.0): 0.0151515151515, (3.0, 9.0): 0.0151515151515, (1.0, 9.0): 0.010101010101, (8.0, 7.0): 0.0217171717172, (6.0, 12.0): 0.00757575757576, (6.0, 4.0): 0.0126262626263, (2.0, 10.0): 0.0131313131313, (6.0, 5.0): 0.0227272727273, (7.0, 9.0): 0.0151515151515, (6.0, 7.0): 0.0151515151515, (6.0, 9.0): 0.0151515151515, (5.0, 10.0): 0.0161616161616, (6.0, 8.0): 0.0151515151515, (8.0, 12.0): 0.00757575757576, (5.0, 7.0): 0.0151515151515, (2.0, 11.0): 0.0262626262626, (9.0, 9.0): 0.010101010101, (2.0, 4.0): 0.0126262626263, (3.0, 8.0): 0.0156565656566, (8.0, 8.0): 0.0131313131313, (1.0, 7.0): 0.010101010101, (9.0, 5.0): 0.010101010101, (7.0, 8.0): 0.0156565656566, (7.0, 6.0): 0.0169191919192, (8.0, 4.0): 0.0126262626263, }, ]
+3 Stop [{(5.0, 9.0): 0.0154882154882, (4.0, 7.0): 0.0151515151515, (6.0, 10.0): 0.0175925925926, (4.0, 8.0): 0.0152356902357, (5.0, 6.0): 0.0163089225589, (2.0, 8.0): 0.0160942760943, (3.0, 11.0): 0.0128114478114, (4.0, 6.0): 0.0169191919192, (8.0, 9.0): 0.0190740740741, (4.0, 12.0): 0.00606060606061, (2.0, 12.0): 0.00690235690236, (7.0, 11.0): 0.0128114478114, (3.0, 7.0): 0.0167087542088, (2.0, 5.0): 0.0246759259259, (1.0, 11.0): 0.00942760942761, (8.0, 5.0): 0.0246759259259, (5.0, 8.0): 0.0151515151515, (7.0, 5.0): 0.0174873737374, (4.0, 9.0): 0.0151515151515, (5.0, 5.0): 0.0165193602694, (2.0, 9.0): 0.0190740740741, (3.0, 10.0): 0.014696969697, (4.0, 4.0): 0.0138888888889, (8.0, 10.0): 0.0177777777778, (1.0, 5.0): 0.00963804713805, (9.0, 11.0): 0.00942760942761, (4.0, 11.0): 0.0153535353535, (3.0, 6.0): 0.0164941077441, (8.0, 6.0): 0.0172727272727, (3.0, 5.0): 0.0174873737374, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00867003367003, (4.0, 10.0): 0.0175925925926, (2.0, 6.0): 0.0172727272727, (6.0, 6.0): 0.0169191919192, (7.0, 10.0): 0.014696969697, (5.0, 11.0): 0.0118855218855, (4.0, 5.0): 0.022095959596, (8.0, 11.0): 0.0192255892256, (6.0, 11.0): 0.0153535353535, (2.0, 7.0): 0.0190740740741, (7.0, 7.0): 0.0167087542088, (3.0, 9.0): 0.016835016835, (1.0, 9.0): 0.00867003367003, (8.0, 7.0): 0.0190740740741, (6.0, 12.0): 0.00606060606061, (6.0, 4.0): 0.0138888888889, (2.0, 10.0): 0.0177777777778, (6.0, 5.0): 0.022095959596, (7.0, 9.0): 0.016835016835, (6.0, 7.0): 0.0151515151515, (6.0, 9.0): 0.0151515151515, (5.0, 10.0): 0.0145117845118, (6.0, 8.0): 0.0152356902357, (8.0, 12.0): 0.00690235690236, (5.0, 7.0): 0.015361952862, (2.0, 11.0): 0.0192255892256, (9.0, 9.0): 0.00867003367003, (2.0, 4.0): 0.0154882154882, (3.0, 8.0): 0.0153367003367, (8.0, 8.0): 0.0160942760943, (1.0, 7.0): 0.00867003367003, (9.0, 5.0): 0.00963804713805, (7.0, 8.0): 0.0153367003367, (7.0, 6.0): 0.0164941077441, (8.0, 4.0): 0.0154882154882, }, ]
+4 Stop [{(5.0, 9.0): 0.0149943883277, (4.0, 7.0): 0.0157687991021, (6.0, 10.0): 0.01544332211, (4.0, 8.0): 0.0151964085297, (5.0, 6.0): 0.0176083754209, (2.0, 8.0): 0.0153120089787, (3.0, 11.0): 0.0107749719416, (4.0, 6.0): 0.0170202020202, (8.0, 9.0): 0.0206498316498, (4.0, 12.0): 0.00457912457912, (2.0, 12.0): 0.00550505050505, (7.0, 11.0): 0.0107749719416, (3.0, 7.0): 0.016350308642, (2.0, 5.0): 0.0279567199776, (1.0, 11.0): 0.00791806958474, (8.0, 5.0): 0.0279567199776, (5.0, 8.0): 0.0153268799102, (7.0, 5.0): 0.0176651936027, (4.0, 9.0): 0.0163159371493, (5.0, 5.0): 0.0169314674523, (2.0, 9.0): 0.0206498316498, (3.0, 10.0): 0.0168675645342, (4.0, 4.0): 0.0143097643098, (8.0, 10.0): 0.0155925925926, (1.0, 5.0): 0.00893167789001, (9.0, 11.0): 0.00791806958474, (4.0, 11.0): 0.0144708193042, (3.0, 6.0): 0.0189648569024, (8.0, 6.0): 0.0166742424242, (3.0, 5.0): 0.0176651936027, (1, 1): 0.0151515151515, (9.0, 7.0): 0.0075140291807, (4.0, 10.0): 0.01544332211, (2.0, 6.0): 0.0166742424242, (6.0, 6.0): 0.0170202020202, (7.0, 10.0): 0.0168675645342, (5.0, 11.0): 0.00991358024691, (4.0, 5.0): 0.0247685185185, (8.0, 11.0): 0.0186374859708, (6.0, 11.0): 0.0144708193042, (2.0, 7.0): 0.0201910774411, (7.0, 7.0): 0.016350308642, (3.0, 9.0): 0.0159652076319, (1.0, 9.0): 0.0075140291807, (8.0, 7.0): 0.0201910774411, (6.0, 12.0): 0.00457912457912, (6.0, 4.0): 0.0143097643098, (2.0, 10.0): 0.0155925925926, (6.0, 5.0): 0.0247685185185, (7.0, 9.0): 0.0159652076319, (6.0, 7.0): 0.0157687991021, (6.0, 9.0): 0.0163159371493, (5.0, 10.0): 0.0156184062851, (6.0, 8.0): 0.0151964085297, (8.0, 12.0): 0.00550505050505, (5.0, 7.0): 0.0153794893378, (2.0, 11.0): 0.0186374859708, (9.0, 9.0): 0.0075140291807, (2.0, 4.0): 0.0159694163861, (3.0, 8.0): 0.0167107182941, (8.0, 8.0): 0.0153120089787, (1.0, 7.0): 0.0075140291807, (9.0, 5.0): 0.00893167789001, (7.0, 8.0): 0.0167107182941, (7.0, 6.0): 0.0189648569024, (8.0, 4.0): 0.0159694163861, }, ]
+5 Stop [{(5.0, 9.0): 0.0156983258511, (4.0, 7.0): 0.0158186026936, (6.0, 10.0): 0.0155311447811, (4.0, 8.0): 0.0159391133558, (5.0, 6.0): 0.0179674932192, (2.0, 8.0): 0.0160959783015, (3.0, 11.0): 0.0104843060232, (4.0, 6.0): 0.0183165918444, (8.0, 9.0): 0.0191589599701, (4.0, 12.0): 0.00393817807707, (2.0, 12.0): 0.00494126449682, (7.0, 11.0): 0.0104843060232, (3.0, 7.0): 0.0174494131126, (2.0, 5.0): 0.028195995838, (1.0, 11.0): 0.00706528245417, (8.0, 5.0): 0.028195995838, (5.0, 8.0): 0.0151813271605, (7.0, 5.0): 0.0195254571175, (4.0, 9.0): 0.0155597643098, (5.0, 5.0): 0.0183584981762, (2.0, 9.0): 0.0191589599701, (3.0, 10.0): 0.0154745230079, (4.0, 4.0): 0.0154110549944, (8.0, 10.0): 0.0155839132061, (1.0, 5.0): 0.0091252922746, (9.0, 11.0): 0.00706528245417, (4.0, 11.0): 0.0121761503928, (3.0, 6.0): 0.0191987595866, (8.0, 6.0): 0.0178854704452, (3.0, 5.0): 0.0195254571175, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00712219416386, (4.0, 10.0): 0.0155311447811, (2.0, 6.0): 0.0178854704452, (6.0, 6.0): 0.0183165918444, (7.0, 10.0): 0.0154745230079, (5.0, 11.0): 0.00940939019828, (4.0, 5.0): 0.0256055345118, (8.0, 11.0): 0.0160088290311, (6.0, 11.0): 0.0121761503928, (2.0, 7.0): 0.0193068976805, (7.0, 7.0): 0.0174494131126, (3.0, 9.0): 0.0172294706322, (1.0, 9.0): 0.00719865319865, (8.0, 7.0): 0.0193068976805, (6.0, 12.0): 0.00393817807707, (6.0, 4.0): 0.0154110549944, (2.0, 10.0): 0.0155839132061, (6.0, 5.0): 0.0256055345118, (7.0, 9.0): 0.0172294706322, (6.0, 7.0): 0.0158186026936, (6.0, 9.0): 0.0155597643098, (5.0, 10.0): 0.0142153385709, (6.0, 8.0): 0.0159391133558, (8.0, 12.0): 0.00494126449682, (5.0, 7.0): 0.0158632037972, (2.0, 11.0): 0.0160088290311, (9.0, 9.0): 0.00719865319865, (2.0, 4.0): 0.0173036148522, (3.0, 8.0): 0.016427043584, (8.0, 8.0): 0.0160959783015, (1.0, 7.0): 0.00712219416386, (9.0, 5.0): 0.0091252922746, (7.0, 8.0): 0.016427043584, (7.0, 6.0): 0.0191987595866, (8.0, 4.0): 0.0173036148522, }, ]
+6 Stop [{(5.0, 9.0): 0.0150716431288, (4.0, 7.0): 0.0165543396932, (6.0, 10.0): 0.0141888452425, (4.0, 8.0): 0.0157476025689, (5.0, 6.0): 0.0189774719611, (2.0, 8.0): 0.0155611725277, (3.0, 11.0): 0.00937344494326, (4.0, 6.0): 0.0187875974249, (8.0, 9.0): 0.0191168259758, (4.0, 12.0): 0.00334208442449, (2.0, 12.0): 0.00431522633745, (7.0, 11.0): 0.00937344494326, (3.0, 7.0): 0.0174379600402, (2.0, 5.0): 0.0299493386605, (1.0, 11.0): 0.00620077939893, (8.0, 5.0): 0.0299493386605, (5.0, 8.0): 0.0157199015619, (7.0, 5.0): 0.0202478725332, (4.0, 9.0): 0.0159148272852, (5.0, 5.0): 0.0191139671211, (2.0, 9.0): 0.0191168259758, (3.0, 10.0): 0.0153496947874, (4.0, 4.0): 0.0162407056678, (8.0, 10.0): 0.0142253061479, (1.0, 5.0): 0.00926197877697, (9.0, 11.0): 0.00620077939893, (4.0, 11.0): 0.0112220738247, (3.0, 6.0): 0.0205274879778, (8.0, 6.0): 0.0179118525533, (3.0, 5.0): 0.0202478725332, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00677891336202, (4.0, 10.0): 0.0141888452425, (2.0, 6.0): 0.0179118525533, (6.0, 6.0): 0.0187875974249, (7.0, 10.0): 0.0153496947874, (5.0, 11.0): 0.00830981793241, (4.0, 5.0): 0.0275496360207, (8.0, 11.0): 0.014708599576, (6.0, 11.0): 0.0112220738247, (2.0, 7.0): 0.0197026342904, (7.0, 7.0): 0.0174379600402, (3.0, 9.0): 0.0165540474186, (1.0, 9.0): 0.00679248659434, (8.0, 7.0): 0.0197026342904, (6.0, 12.0): 0.00334208442449, (6.0, 4.0): 0.0162407056678, (2.0, 10.0): 0.0142253061479, (6.0, 5.0): 0.0275496360207, (7.0, 9.0): 0.0165540474186, (6.0, 7.0): 0.0165543396932, (6.0, 9.0): 0.0159148272852, (5.0, 10.0): 0.0139264150767, (6.0, 8.0): 0.0157476025689, (8.0, 12.0): 0.00431522633745, (5.0, 7.0): 0.0159717594541, (2.0, 11.0): 0.014708599576, (9.0, 9.0): 0.00679248659434, (2.0, 4.0): 0.0180504727054, (3.0, 8.0): 0.0172649475465, (8.0, 8.0): 0.0155611725277, (1.0, 7.0): 0.00677891336202, (9.0, 5.0): 0.00926197877697, (7.0, 8.0): 0.0172649475465, (7.0, 6.0): 0.0205274879778, (8.0, 4.0): 0.0180504727054, }, ]
+7 Stop [{(5.0, 9.0): 0.0150790049024, (4.0, 7.0): 0.0167078102917, (6.0, 10.0): 0.0136373216735, (4.0, 8.0): 0.0161860743235, (5.0, 6.0): 0.0195278560668, (2.0, 8.0): 0.0156457734703, (3.0, 11.0): 0.00875475035333, (4.0, 6.0): 0.0198251454618, (8.0, 9.0): 0.0181437458276, (4.0, 12.0): 0.00298437377894, (2.0, 12.0): 0.00388984204182, (7.0, 11.0): 0.00875475035333, (3.0, 7.0): 0.0181253861824, (2.0, 5.0): 0.0308744913393, (1.0, 11.0): 0.00555182296213, (8.0, 5.0): 0.0308744913393, (5.0, 8.0): 0.0155550254019, (7.0, 5.0): 0.0214876265728, (4.0, 9.0): 0.0152776351478, (5.0, 5.0): 0.0202875277742, (2.0, 9.0): 0.0181437458276, (3.0, 10.0): 0.014276537115, (4.0, 4.0): 0.0173035648408, (8.0, 10.0): 0.0134923478821, (1.0, 5.0): 0.0096225458319, (9.0, 11.0): 0.00555182296213, (4.0, 11.0): 0.009999862036, (3.0, 6.0): 0.0210095062245, (8.0, 6.0): 0.0185627197139, (3.0, 5.0): 0.0214876265728, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00667322906275, (4.0, 10.0): 0.0136373216735, (2.0, 6.0): 0.0185627197139, (6.0, 6.0): 0.0198251454618, (7.0, 10.0): 0.014276537115, (5.0, 11.0): 0.00772372404082, (4.0, 5.0): 0.0288149512259, (8.0, 11.0): 0.0131483907387, (6.0, 11.0): 0.009999862036, (2.0, 7.0): 0.0193863952579, (7.0, 7.0): 0.0181253861824, (3.0, 9.0): 0.0165916729668, (1.0, 9.0): 0.0065823809598, (8.0, 7.0): 0.0193863952579, (6.0, 12.0): 0.00298437377894, (6.0, 4.0): 0.0173035648408, (2.0, 10.0): 0.0134923478821, (6.0, 5.0): 0.0288149512259, (7.0, 9.0): 0.0165916729668, (6.0, 7.0): 0.0167078102917, (6.0, 9.0): 0.0152776351478, (5.0, 10.0): 0.0128865519547, (6.0, 8.0): 0.0161860743235, (8.0, 12.0): 0.00388984204182, (5.0, 7.0): 0.0165829523209, (2.0, 11.0): 0.0131483907387, (9.0, 9.0): 0.0065823809598, (2.0, 4.0): 0.0190083492396, (3.0, 8.0): 0.017038668671, (8.0, 8.0): 0.0156457734703, (1.0, 7.0): 0.00667322906275, (9.0, 5.0): 0.0096225458319, (7.0, 8.0): 0.017038668671, (7.0, 6.0): 0.0210095062245, (8.0, 4.0): 0.0190083492396, }, ]
+8 Stop [{(5.0, 9.0): 0.0144937340849, (4.0, 7.0): 0.0172689071506, (6.0, 10.0): 0.0126796283272, (4.0, 8.0): 0.0160071414973, (5.0, 6.0): 0.0204625572156, (2.0, 8.0): 0.0152479139581, (3.0, 11.0): 0.00798841505227, (4.0, 6.0): 0.0204321799271, (8.0, 9.0): 0.0176065207925, (4.0, 12.0): 0.00266143493231, (2.0, 12.0): 0.00348801247038, (7.0, 11.0): 0.00798841505227, (3.0, 7.0): 0.0182177392164, (2.0, 5.0): 0.032258190621, (1.0, 11.0): 0.00496730993751, (8.0, 5.0): 0.032258190621, (5.0, 8.0): 0.0157780226958, (7.0, 5.0): 0.0223233158122, (4.0, 9.0): 0.0150681717813, (5.0, 5.0): 0.0211861510411, (2.0, 9.0): 0.0176065207925, (3.0, 10.0): 0.0136179583436, (4.0, 4.0): 0.0182567661624, (8.0, 10.0): 0.0124846469797, (1.0, 5.0): 0.00995702147249, (9.0, 11.0): 0.00496730993751, (4.0, 11.0): 0.00922480801638, (3.0, 6.0): 0.0219320212612, (8.0, 6.0): 0.0188220086227, (3.0, 5.0): 0.0223233158122, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00656768040769, (4.0, 10.0): 0.0126796283272, (2.0, 6.0): 0.0188220086227, (6.0, 6.0): 0.0204321799271, (7.0, 10.0): 0.0136179583436, (5.0, 11.0): 0.00702579081262, (4.0, 5.0): 0.0305064446987, (8.0, 11.0): 0.0120099576125, (6.0, 11.0): 0.00922480801638, (2.0, 7.0): 0.0195594314356, (7.0, 7.0): 0.0182177392164, (3.0, 9.0): 0.0159341328072, (1.0, 9.0): 0.00631514811784, (8.0, 7.0): 0.0195594314356, (6.0, 12.0): 0.00266143493231, (6.0, 4.0): 0.0182567661624, (2.0, 10.0): 0.0124846469797, (6.0, 5.0): 0.0305064446987, (7.0, 9.0): 0.0159341328072, (6.0, 7.0): 0.0172689071506, (6.0, 9.0): 0.0150681717813, (5.0, 10.0): 0.0122961896504, (6.0, 8.0): 0.0160071414973, (8.0, 12.0): 0.00348801247038, (5.0, 7.0): 0.0167727466292, (2.0, 11.0): 0.0120099576125, (9.0, 9.0): 0.00631514811784, (2.0, 4.0): 0.0197956717329, (3.0, 8.0): 0.0172180672125, (8.0, 8.0): 0.0152479139581, (1.0, 7.0): 0.00656768040769, (9.0, 5.0): 0.00995702147249, (7.0, 8.0): 0.0172180672125, (7.0, 6.0): 0.0219320212612, (8.0, 4.0): 0.0197956717329, }, ]
+9 Stop [{(5.0, 9.0): 0.0141667466073, (4.0, 7.0): 0.0174509759863, (6.0, 10.0): 0.0120185940225, (4.0, 8.0): 0.0160680803531, (5.0, 6.0): 0.0211086061483, (2.0, 8.0): 0.0150480061638, (3.0, 11.0): 0.0074064703392, (4.0, 6.0): 0.021311836234, (8.0, 9.0): 0.0167911245757, (4.0, 12.0): 0.00242461298017, (2.0, 12.0): 0.00316433042554, (7.0, 11.0): 0.0074064703392, (3.0, 7.0): 0.0185690389148, (2.0, 5.0): 0.0333623441083, (1.0, 11.0): 0.00448531457083, (8.0, 5.0): 0.0333623441083, (5.0, 8.0): 0.0155920867482, (7.0, 5.0): 0.0233522752601, (4.0, 9.0): 0.0144770728042, (5.0, 5.0): 0.022286205065, (2.0, 9.0): 0.0167911245757, (3.0, 10.0): 0.0127309153299, (4.0, 4.0): 0.0192971979808, (8.0, 10.0): 0.0117043284561, (1.0, 5.0): 0.0103548758397, (9.0, 11.0): 0.00448531457083, (4.0, 11.0): 0.00842787051844, (3.0, 6.0): 0.0224785106144, (8.0, 6.0): 0.0193159141834, (3.0, 5.0): 0.0233522752601, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00654374544312, (4.0, 10.0): 0.0120185940225, (2.0, 6.0): 0.0193159141834, (6.0, 6.0): 0.021311836234, (7.0, 10.0): 0.0127309153299, (5.0, 11.0): 0.00652945910971, (4.0, 5.0): 0.0319008838866, (8.0, 11.0): 0.0109052686242, (6.0, 11.0): 0.00842787051844, (2.0, 7.0): 0.0194436026203, (7.0, 7.0): 0.0185690389148, (3.0, 9.0): 0.0155104682135, (1.0, 9.0): 0.00609199419101, (8.0, 7.0): 0.0194436026203, (6.0, 12.0): 0.00242461298017, (6.0, 4.0): 0.0192971979808, (2.0, 10.0): 0.0117043284561, (6.0, 5.0): 0.0319008838866, (7.0, 9.0): 0.0155104682135, (6.0, 7.0): 0.0174509759863, (6.0, 9.0): 0.0144770728042, (5.0, 10.0): 0.01150184639, (6.0, 8.0): 0.0160680803531, (8.0, 12.0): 0.00316433042554, (5.0, 7.0): 0.0172215272563, (2.0, 11.0): 0.0109052686242, (9.0, 9.0): 0.00609199419101, (2.0, 4.0): 0.0206505660734, (3.0, 8.0): 0.0169347850484, (8.0, 8.0): 0.0150480061638, (1.0, 7.0): 0.00654374544312, (9.0, 5.0): 0.0103548758397, (7.0, 8.0): 0.0169347850484, (7.0, 6.0): 0.0224785106144, (8.0, 4.0): 0.0206505660734, }, ]
+10 Stop [{(5.0, 9.0): 0.0136194452906, (4.0, 7.0): 0.0177815898496, (6.0, 10.0): 0.0112640282639, (4.0, 8.0): 0.0158333456241, (5.0, 6.0): 0.0219341067877, (2.0, 8.0): 0.0146697073694, (3.0, 11.0): 0.00682530314658, (4.0, 6.0): 0.0219502981427, (8.0, 9.0): 0.0161209285089, (4.0, 12.0): 0.00221284941313, (2.0, 12.0): 0.00287232157921, (7.0, 11.0): 0.00682530314658, (3.0, 7.0): 0.0186352830388, (2.0, 5.0): 0.0346275461297, (1.0, 11.0): 0.00406020205611, (8.0, 5.0): 0.0346275461297, (5.0, 8.0): 0.0155472113209, (7.0, 5.0): 0.0242081103523, (4.0, 9.0): 0.0140432593372, (5.0, 5.0): 0.0232413812779, (2.0, 9.0): 0.0161209285089, (3.0, 10.0): 0.0120134500879, (4.0, 4.0): 0.0202822269526, (8.0, 10.0): 0.0108962952169, (1.0, 5.0): 0.0107378286046, (9.0, 11.0): 0.00406020205611, (4.0, 11.0): 0.00781133863339, (3.0, 6.0): 0.0231893224314, (8.0, 6.0): 0.0196511928306, (3.0, 5.0): 0.0242081103523, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00651247315827, (4.0, 10.0): 0.0112640282639, (2.0, 6.0): 0.0196511928306, (6.0, 6.0): 0.0219502981427, (7.0, 10.0): 0.0120134500879, (5.0, 11.0): 0.00603215639309, (4.0, 5.0): 0.0334789784641, (8.0, 11.0): 0.00999191543221, (6.0, 11.0): 0.00781133863339, (2.0, 7.0): 0.0194896982796, (7.0, 7.0): 0.0186352830388, (3.0, 9.0): 0.0148625468836, (1.0, 9.0): 0.00584451785813, (8.0, 7.0): 0.0194896982796, (6.0, 12.0): 0.00221284941313, (6.0, 4.0): 0.0202822269526, (2.0, 10.0): 0.0108962952169, (6.0, 5.0): 0.0334789784641, (7.0, 9.0): 0.0148625468836, (6.0, 7.0): 0.0177815898496, (6.0, 9.0): 0.0140432593372, (5.0, 10.0): 0.0108960804843, (6.0, 8.0): 0.0158333456241, (8.0, 12.0): 0.00287232157921, (5.0, 7.0): 0.0174027098123, (2.0, 11.0): 0.00999191543221, (9.0, 9.0): 0.00584451785813, (2.0, 4.0): 0.0214460644062, (3.0, 8.0): 0.01677507469, (8.0, 8.0): 0.0146697073694, (1.0, 7.0): 0.00651247315827, (9.0, 5.0): 0.0107378286046, (7.0, 8.0): 0.01677507469, (7.0, 6.0): 0.0231893224314, (8.0, 4.0): 0.0214460644062, }, ]
+11 Stop [{(5.0, 9.0): 0.0131742227091, (4.0, 7.0): 0.0179060953486, (6.0, 10.0): 0.0106399159067, (4.0, 8.0): 0.0156706233598, (5.0, 6.0): 0.0225836991024, (2.0, 8.0): 0.0143517131385, (3.0, 11.0): 0.00633451132156, (4.0, 6.0): 0.0226859809208, (8.0, 9.0): 0.0153786310551, (4.0, 12.0): 0.00203950624327, (2.0, 12.0): 0.0026227597651, (7.0, 11.0): 0.00633451132156, (3.0, 7.0): 0.0187743404965, (2.0, 5.0): 0.035775708914, (1.0, 11.0): 0.00369542026676, (8.0, 5.0): 0.035775708914, (5.0, 8.0): 0.0153092504938, (7.0, 5.0): 0.0251328891642, (4.0, 9.0): 0.0134811089439, (5.0, 5.0): 0.0242813737367, (2.0, 9.0): 0.0153786310551, (3.0, 10.0): 0.0112660511746, (4.0, 4.0): 0.0213007729643, (8.0, 10.0): 0.0101989606202, (1.0, 5.0): 0.0111401719906, (9.0, 11.0): 0.00369542026676, (4.0, 11.0): 0.00722595266624, (3.0, 6.0): 0.0237172972628, (8.0, 6.0): 0.0200629494195, (3.0, 5.0): 0.0251328891642, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00650451962574, (4.0, 10.0): 0.0106399159067, (2.0, 6.0): 0.0200629494195, (6.0, 6.0): 0.0226859809208, (7.0, 10.0): 0.0112660511746, (5.0, 11.0): 0.00562622423713, (4.0, 5.0): 0.0349000821754, (8.0, 11.0): 0.00915462099225, (6.0, 11.0): 0.00722595266624, (2.0, 7.0): 0.0194085216461, (7.0, 7.0): 0.0187743404965, (3.0, 9.0): 0.0143047849326, (1.0, 9.0): 0.00560908034722, (8.0, 7.0): 0.0194085216461, (6.0, 12.0): 0.00203950624327, (6.0, 4.0): 0.0213007729643, (2.0, 10.0): 0.0101989606202, (6.0, 5.0): 0.0349000821754, (7.0, 9.0): 0.0143047849326, (6.0, 7.0): 0.0179060953486, (6.0, 9.0): 0.0134811089439, (5.0, 10.0): 0.0102534596077, (6.0, 8.0): 0.0156706233598, (8.0, 12.0): 0.0026227597651, (5.0, 7.0): 0.0176657364902, (2.0, 11.0): 0.00915462099225, (9.0, 9.0): 0.00560908034722, (2.0, 4.0): 0.0222655475796, (3.0, 8.0): 0.0164287409939, (8.0, 8.0): 0.0143517131385, (1.0, 7.0): 0.00650451962574, (9.0, 5.0): 0.0111401719906, (7.0, 8.0): 0.0164287409939, (7.0, 6.0): 0.0237172972628, (8.0, 4.0): 0.0222655475796, }, ]
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+13 Stop [{(5.0, 9.0): 0.012190537154, (4.0, 7.0): 0.0181102880645, (6.0, 10.0): 0.00946164859405, (4.0, 8.0): 0.0151067078106, (5.0, 6.0): 0.0238764551151, (2.0, 8.0): 0.0136089370979, (3.0, 11.0): 0.005469412262, (4.0, 6.0): 0.0238938287258, (8.0, 9.0): 0.0140220978936, (4.0, 12.0): 0.00174963073672, (2.0, 12.0): 0.00220478800633, (7.0, 11.0): 0.005469412262, (3.0, 7.0): 0.0187886306045, (2.0, 5.0): 0.0381087813453, (1.0, 11.0): 0.00309152034891, (8.0, 5.0): 0.0381087813453, (5.0, 8.0): 0.0148278856438, (7.0, 5.0): 0.0268140911315, (4.0, 9.0): 0.0124569544543, (5.0, 5.0): 0.0261970649534, (2.0, 9.0): 0.0140220978936, (3.0, 10.0): 0.0099749068257, (4.0, 4.0): 0.0232694156737, (8.0, 10.0): 0.00893438713695, (1.0, 5.0): 0.0119286654065, (9.0, 11.0): 0.00309152034891, (4.0, 11.0): 0.0062704145757, (3.0, 6.0): 0.0247591900399, (8.0, 6.0): 0.0207462489567, (3.0, 5.0): 0.0268140911315, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00647173092849, (4.0, 10.0): 0.00946164859405, (2.0, 6.0): 0.0207462489567, (6.0, 6.0): 0.0238938287258, (7.0, 10.0): 0.0099749068257, (5.0, 11.0): 0.00490867237671, (4.0, 5.0): 0.037766686697, (8.0, 11.0): 0.00777289314176, (6.0, 11.0): 0.0062704145757, (2.0, 7.0): 0.0192685708315, (7.0, 7.0): 0.0187886306045, (3.0, 9.0): 0.0131182264627, (1.0, 9.0): 0.00513410651596, (8.0, 7.0): 0.0192685708315, (6.0, 12.0): 0.00174963073672, (6.0, 4.0): 0.0232694156737, (2.0, 10.0): 0.00893438713695, (6.0, 5.0): 0.037766686697, (7.0, 9.0): 0.0131182264627, (6.0, 7.0): 0.0181102880645, (6.0, 9.0): 0.0124569544543, (5.0, 10.0): 0.00916234294986, (6.0, 8.0): 0.0151067078106, (8.0, 12.0): 0.00220478800633, (5.0, 7.0): 0.0179018188889, (2.0, 11.0): 0.00777289314176, (9.0, 9.0): 0.00513410651596, (2.0, 4.0): 0.0238536317127, (3.0, 8.0): 0.0157354619021, (8.0, 8.0): 0.0136089370979, (1.0, 7.0): 0.00647173092849, (9.0, 5.0): 0.0119286654065, (7.0, 8.0): 0.0157354619021, (7.0, 6.0): 0.0247591900399, (8.0, 4.0): 0.0238536317127, }, ]
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+19 Stop [{(5.0, 9.0): 0.0096127228724, (4.0, 7.0): 0.0178815312232, (6.0, 10.0): 0.00682848883208, (4.0, 8.0): 0.013154166374, (5.0, 6.0): 0.026640473711, (2.0, 8.0): 0.0114789642465, (3.0, 11.0): 0.00368938148985, (4.0, 6.0): 0.0265219341487, (8.0, 9.0): 0.0106405409561, (4.0, 12.0): 0.00117725671676, (2.0, 12.0): 0.00139784221492, (7.0, 11.0): 0.00368938148985, (3.0, 7.0): 0.0182126197469, (2.0, 5.0): 0.044370330771, (1.0, 11.0): 0.00193996029235, (8.0, 5.0): 0.044370330771, (5.0, 8.0): 0.0130193448368, (7.0, 5.0): 0.0310849451959, (4.0, 9.0): 0.00975748058539, (5.0, 5.0): 0.031033173298, (2.0, 9.0): 0.0106405409561, (3.0, 10.0): 0.00708635249973, (4.0, 4.0): 0.0285769687406, (8.0, 10.0): 0.00621278694758, (1.0, 5.0): 0.0141311537566, (9.0, 11.0): 0.00193996029235, (4.0, 11.0): 0.00429973687137, (3.0, 6.0): 0.0269527299326, (8.0, 6.0): 0.0223013147238, (3.0, 5.0): 0.0310849451959, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00625037145307, (4.0, 10.0): 0.00682848883208, (2.0, 6.0): 0.0223013147238, (6.0, 6.0): 0.0265219341487, (7.0, 10.0): 0.00708635249973, (5.0, 11.0): 0.0034131166666, (4.0, 5.0): 0.0451541482232, (8.0, 11.0): 0.00503938984597, (6.0, 11.0): 0.00429973687137, (2.0, 7.0): 0.0184475558322, (7.0, 7.0): 0.0182126197469, (3.0, 9.0): 0.0101051325989, (1.0, 9.0): 0.00389159787685, (8.0, 7.0): 0.0184475558322, (6.0, 12.0): 0.00117725671676, (6.0, 4.0): 0.0285769687406, (2.0, 10.0): 0.00621278694758, (6.0, 5.0): 0.0451541482232, (7.0, 9.0): 0.0101051325989, (6.0, 7.0): 0.0178815312232, (6.0, 9.0): 0.00975748058539, (5.0, 10.0): 0.00667774019746, (6.0, 8.0): 0.013154166374, (8.0, 12.0): 0.00139784221492, (5.0, 7.0): 0.0177881851039, (2.0, 11.0): 0.00503938984597, (9.0, 9.0): 0.00389159787685, (2.0, 4.0): 0.0282622497147, (3.0, 8.0): 0.0134849322701, (8.0, 8.0): 0.0114789642465, (1.0, 7.0): 0.00625037145307, (9.0, 5.0): 0.0141311537566, (7.0, 8.0): 0.0134849322701, (7.0, 6.0): 0.0269527299326, (8.0, 4.0): 0.0282622497147, }, ]
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+87 Stop [{(5.0, 9.0): 0.00384562222817, (4.0, 7.0): 0.0152038620295, (6.0, 10.0): 0.0019381208255, (4.0, 8.0): 0.00763927001025, (5.0, 6.0): 0.0303266329582, (2.0, 8.0): 0.0063653596338, (3.0, 11.0): 0.000813084536445, (4.0, 6.0): 0.0303204767505, (8.0, 9.0): 0.00384957722526, (4.0, 12.0): 0.000244689447265, (2.0, 12.0): 0.000245623269899, (7.0, 11.0): 0.000813084536445, (3.0, 7.0): 0.0152005269218, (2.0, 5.0): 0.0604905574745, (1.0, 11.0): 0.00032794775576, (8.0, 5.0): 0.0604905574745, (5.0, 8.0): 0.0076395456045, (7.0, 5.0): 0.0403649719749, (4.0, 9.0): 0.00384595425756, (5.0, 5.0): 0.0403905288098, (2.0, 9.0): 0.00384957722526, (3.0, 10.0): 0.00193881019027, (4.0, 4.0): 0.0403645163423, (8.0, 10.0): 0.00161695096528, (1.0, 5.0): 0.0201541453445, (9.0, 11.0): 0.00032794775576, (4.0, 11.0): 0.000975641409964, (3.0, 6.0): 0.0303107947175, (8.0, 6.0): 0.0252463531888, (3.0, 5.0): 0.0403649719749, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00506732896558, (4.0, 10.0): 0.0019381208255, (2.0, 6.0): 0.0252463531888, (6.0, 6.0): 0.0303204767505, (7.0, 10.0): 0.00193881019027, (5.0, 11.0): 0.000812021839389, (4.0, 5.0): 0.0605644350338, (8.0, 11.0): 0.000978991891474, (6.0, 11.0): 0.000975641409964, (2.0, 7.0): 0.015197381099, (7.0, 7.0): 0.0152005269218, (3.0, 9.0): 0.00384683222175, (1.0, 9.0): 0.00128619484902, (8.0, 7.0): 0.015197381099, (6.0, 12.0): 0.000244689447265, (6.0, 4.0): 0.0403645163423, (2.0, 10.0): 0.00161695096528, (6.0, 5.0): 0.0605644350338, (7.0, 9.0): 0.00384683222175, (6.0, 7.0): 0.0152038620295, (6.0, 9.0): 0.00384595425756, (5.0, 10.0): 0.00193750229782, (6.0, 8.0): 0.00763927001025, (8.0, 12.0): 0.000245623269899, (5.0, 7.0): 0.0152056422939, (2.0, 11.0): 0.000978991891474, (9.0, 9.0): 0.00128619484902, (2.0, 4.0): 0.0403082906891, (3.0, 8.0): 0.0076388053871, (8.0, 8.0): 0.0063653596338, (1.0, 7.0): 0.00506732896558, (9.0, 5.0): 0.0201541453445, (7.0, 8.0): 0.0076388053871, (7.0, 6.0): 0.0303107947175, (8.0, 4.0): 0.0403082906891, }, ]
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+89 Stop [{(5.0, 9.0): 0.00383864808998, (4.0, 7.0): 0.0151993100192, (6.0, 10.0): 0.00193262811071, (4.0, 8.0): 0.00763210974996, (5.0, 6.0): 0.030328190726, (2.0, 8.0): 0.00635943952577, (3.0, 11.0): 0.000810069436717, (4.0, 6.0): 0.0303227894348, (8.0, 9.0): 0.00384205609204, (4.0, 12.0): 0.000243685785681, (2.0, 12.0): 0.000244495769527, (7.0, 11.0): 0.000810069436717, (3.0, 7.0): 0.0151963446992, (2.0, 5.0): 0.0605141595651, (1.0, 11.0): 0.000326385453241, (8.0, 5.0): 0.0605141595651, (5.0, 8.0): 0.00763236132986, (7.0, 5.0): 0.040375989833, (4.0, 9.0): 0.00383893119758, (5.0, 5.0): 0.0403984888833, (2.0, 9.0): 0.00384205609204, (3.0, 10.0): 0.00193322138389, (4.0, 4.0): 0.0403758787434, (8.0, 10.0): 0.00161212254621, (1.0, 5.0): 0.0201632097699, (9.0, 11.0): 0.000326385453241, (4.0, 11.0): 0.000972034077698, (3.0, 6.0): 0.0303142213173, (8.0, 6.0): 0.0252507452189, (3.0, 5.0): 0.040375989833, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00506584682923, (4.0, 10.0): 0.00193262811071, (2.0, 6.0): 0.0252507452189, (6.0, 6.0): 0.0303227894348, (7.0, 10.0): 0.00193322138389, (5.0, 11.0): 0.000809149098127, (4.0, 5.0): 0.0605790979644, (8.0, 11.0): 0.000974940522014, (6.0, 11.0): 0.000972034077698, (2.0, 7.0): 0.0151935500346, (7.0, 7.0): 0.0151963446992, (3.0, 9.0): 0.00383968140561, (1.0, 9.0): 0.00128329425523, (8.0, 7.0): 0.0151935500346, (6.0, 12.0): 0.000243685785681, (6.0, 4.0): 0.0403758787434, (2.0, 10.0): 0.00161212254621, (6.0, 5.0): 0.0605790979644, (7.0, 9.0): 0.00383968140561, (6.0, 7.0): 0.0151993100192, (6.0, 9.0): 0.00383893119758, (5.0, 10.0): 0.00193209298603, (6.0, 8.0): 0.00763210974996, (8.0, 12.0): 0.000244495769527, (5.0, 7.0): 0.0152008832101, (2.0, 11.0): 0.000974940522014, (9.0, 9.0): 0.00128329425523, (2.0, 4.0): 0.0403264195397, (3.0, 8.0): 0.00763167698202, (8.0, 8.0): 0.00635943952577, (1.0, 7.0): 0.00506584682923, (9.0, 5.0): 0.0201632097699, (7.0, 8.0): 0.00763167698202, (7.0, 6.0): 0.0303142213173, (8.0, 4.0): 0.0403264195397, }, ]
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+98 Stop [{(5.0, 9.0): 0.0038169364827, (4.0, 7.0): 0.015185057825, (6.0, 10.0): 0.0019155426401, (4.0, 8.0): 0.00760980169329, (5.0, 6.0): 0.0303327469068, (2.0, 8.0): 0.00634106087601, (3.0, 11.0): 0.000800696256319, (4.0, 6.0): 0.0303297665269, (8.0, 9.0): 0.00381868826369, (4.0, 12.0): 0.000240564475821, (2.0, 12.0): 0.000240992086223, (7.0, 11.0): 0.000800696256319, (3.0, 7.0): 0.0151833400801, (2.0, 5.0): 0.060588128097, (1.0, 11.0): 0.000321530737108, (8.0, 5.0): 0.060588128097, (5.0, 8.0): 0.00760996082217, (7.0, 5.0): 0.0404102786264, (4.0, 9.0): 0.00381707567412, (5.0, 5.0): 0.0404228520697, (2.0, 9.0): 0.00381868826369, (3.0, 10.0): 0.00191584606368, (4.0, 4.0): 0.0404108182888, (8.0, 10.0): 0.00159711761863, (1.0, 5.0): 0.0201916298326, (9.0, 11.0): 0.000321530737108, (4.0, 11.0): 0.000960815384271, (3.0, 6.0): 0.0303248859914, (8.0, 6.0): 0.0252645815088, (3.0, 5.0): 0.0404102786264, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00506127418618, (4.0, 10.0): 0.0019155426401, (2.0, 6.0): 0.0252645815088, (6.0, 6.0): 0.0303297665269, (7.0, 10.0): 0.00191584606368, (5.0, 11.0): 0.000800213380562, (4.0, 5.0): 0.060624211164, (8.0, 11.0): 0.000962350333519, (6.0, 11.0): 0.000960815384271, (2.0, 7.0): 0.0151817260003, (7.0, 7.0): 0.0151833400801, (3.0, 9.0): 0.0038174479394, (1.0, 9.0): 0.00127428289361, (8.0, 7.0): 0.0151817260003, (6.0, 12.0): 0.000240564475821, (6.0, 4.0): 0.0404108182888, (2.0, 10.0): 0.00159711761863, (6.0, 5.0): 0.060624211164, (7.0, 9.0): 0.0038174479394, (6.0, 7.0): 0.015185057825, (6.0, 9.0): 0.00381707567412, (5.0, 10.0): 0.00191526303539, (6.0, 8.0): 0.00760980169329, (8.0, 12.0): 0.000240992086223, (5.0, 7.0): 0.0151859492516, (2.0, 11.0): 0.000962350333519, (9.0, 9.0): 0.00127428289361, (2.0, 4.0): 0.0403832596653, (3.0, 8.0): 0.00760951072111, (8.0, 8.0): 0.00634106087601, (1.0, 7.0): 0.00506127418618, (9.0, 5.0): 0.0201916298326, (7.0, 8.0): 0.00760951072111, (7.0, 6.0): 0.0303248859914, (8.0, 4.0): 0.0403832596653, }, ]
+99 Stop [{(5.0, 9.0): 0.00381526245399, (4.0, 7.0): 0.015183952845, (6.0, 10.0): 0.00191422636364, (4.0, 8.0): 0.00760808040164, (5.0, 6.0): 0.0303330760947, (2.0, 8.0): 0.00633964771666, (3.0, 11.0): 0.000799974548175, (4.0, 6.0): 0.0303302877065, (8.0, 9.0): 0.00381689003664, (4.0, 12.0): 0.000240324055986, (2.0, 12.0): 0.000240722417661, (7.0, 11.0): 0.000799974548175, (3.0, 7.0): 0.0151823385565, (2.0, 5.0): 0.0605938683586, (1.0, 11.0): 0.000321157090807, (8.0, 5.0): 0.0605938683586, (5.0, 8.0): 0.00760823107096, (7.0, 5.0): 0.0404129215306, (4.0, 9.0): 0.00381539117829, (5.0, 5.0): 0.040424699041, (2.0, 9.0): 0.00381689003664, (3.0, 10.0): 0.00191450813345, (4.0, 4.0): 0.0404134795324, (8.0, 10.0): 0.00159596268946, (1.0, 5.0): 0.0201938362658, (9.0, 11.0): 0.000321157090807, (4.0, 11.0): 0.000959951248653, (3.0, 6.0): 0.0303257080715, (8.0, 6.0): 0.0252656606499, (3.0, 5.0): 0.0404129215306, (1, 1): 0.0151515151515, (9.0, 7.0): 0.0050609247598, (4.0, 10.0): 0.00191422636364, (2.0, 6.0): 0.0252656606499, (6.0, 6.0): 0.0303302877065, (7.0, 10.0): 0.00191450813345, (5.0, 11.0): 0.000799524976769, (4.0, 5.0): 0.0606276491881, (8.0, 11.0): 0.000961381256613, (6.0, 11.0): 0.000959951248653, (2.0, 7.0): 0.015180822092, (7.0, 7.0): 0.0151823385565, (3.0, 9.0): 0.00381573578761, (1.0, 9.0): 0.00127358949075, (8.0, 7.0): 0.015180822092, (6.0, 12.0): 0.000240324055986, (6.0, 4.0): 0.0404134795324, (2.0, 10.0): 0.00159596268946, (6.0, 5.0): 0.0606276491881, (7.0, 9.0): 0.00381573578761, (6.0, 7.0): 0.015183952845, (6.0, 9.0): 0.00381539117829, (5.0, 10.0): 0.00191396615194, (6.0, 8.0): 0.00760808040164, (8.0, 12.0): 0.000240722417661, (5.0, 7.0): 0.0151847889088, (2.0, 11.0): 0.000961381256613, (9.0, 9.0): 0.00127358949075, (2.0, 4.0): 0.0403876725317, (3.0, 8.0): 0.00760780357075, (8.0, 8.0): 0.00633964771666, (1.0, 7.0): 0.0050609247598, (9.0, 5.0): 0.0201938362658, (7.0, 8.0): 0.00760780357075, (7.0, 6.0): 0.0303257080715, (8.0, 4.0): 0.0403876725317, }, ]
+100 Stop [{(5.0, 9.0): 0.00381370136423, (4.0, 7.0): 0.01518292147, (6.0, 10.0): 0.0019129990541, (4.0, 8.0): 0.00760647504083, (5.0, 6.0): 0.0303333796478, (2.0, 8.0): 0.00633833049934, (3.0, 11.0): 0.000799301682754, (4.0, 6.0): 0.0303307711251, (8.0, 9.0): 0.00381521366854, (4.0, 12.0): 0.000240099893437, (2.0, 12.0): 0.000240471015322, (7.0, 11.0): 0.000799301682754, (3.0, 7.0): 0.0151814047844, (2.0, 5.0): 0.0605992271011, (1.0, 11.0): 0.000320808754839, (8.0, 5.0): 0.0605992271011, (5.0, 8.0): 0.00760661761517, (7.0, 5.0): 0.0404153859976, (4.0, 9.0): 0.0038138204248, (5.0, 5.0): 0.0404264165212, (2.0, 9.0): 0.00381521366854, (3.0, 10.0): 0.00191326073795, (4.0, 4.0): 0.0404159561622, (8.0, 10.0): 0.00159488598511, (1.0, 5.0): 0.0201958961927, (9.0, 11.0): 0.000320808754839, (4.0, 11.0): 0.000959145544361, (3.0, 6.0): 0.0303264746611, (8.0, 6.0): 0.025266668899, (3.0, 5.0): 0.0404153859976, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00506059939523, (4.0, 10.0): 0.0019129990541, (2.0, 6.0): 0.025266668899, (6.0, 6.0): 0.0303307711251, (7.0, 10.0): 0.00191326073795, (5.0, 11.0): 0.000798883103562, (4.0, 5.0): 0.0606308490093, (8.0, 11.0): 0.00096047781414, (6.0, 11.0): 0.000959145544361, (2.0, 7.0): 0.0151799803713, (7.0, 7.0): 0.0151814047844, (3.0, 9.0): 0.00381413947337, (1.0, 9.0): 0.00127294308482, (8.0, 7.0): 0.0151799803713, (6.0, 12.0): 0.000240099893437, (6.0, 4.0): 0.0404159561622, (2.0, 10.0): 0.00159488598511, (6.0, 5.0): 0.0606308490093, (7.0, 9.0): 0.00381413947337, (6.0, 7.0): 0.01518292147, (6.0, 9.0): 0.0038138204248, (5.0, 10.0): 0.00191275687958, (6.0, 8.0): 0.00760647504083, (8.0, 12.0): 0.000240471015322, (5.0, 7.0): 0.0151837054726, (2.0, 11.0): 0.00096047781414, (9.0, 9.0): 0.00127294308482, (2.0, 4.0): 0.0403917923854, (3.0, 8.0): 0.00760621189402, (8.0, 8.0): 0.00633833049934, (1.0, 7.0): 0.00506059939523, (9.0, 5.0): 0.0201958961927, (7.0, 8.0): 0.00760621189402, (7.0, 6.0): 0.0303264746611, (8.0, 4.0): 0.0403917923854, }, ]
+101 None [{(5.0, 9.0): 0.00381370136423, (4.0, 7.0): 0.01518292147, (6.0, 10.0): 0.0019129990541, (4.0, 8.0): 0.00760647504083, (5.0, 6.0): 0.0303333796478, (2.0, 8.0): 0.00633833049934, (3.0, 11.0): 0.000799301682754, (4.0, 6.0): 0.0303307711251, (8.0, 9.0): 0.00381521366854, (4.0, 12.0): 0.000240099893437, (2.0, 12.0): 0.000240471015322, (7.0, 11.0): 0.000799301682754, (3.0, 7.0): 0.0151814047844, (2.0, 5.0): 0.0605992271011, (1.0, 11.0): 0.000320808754839, (8.0, 5.0): 0.0605992271011, (5.0, 8.0): 0.00760661761517, (7.0, 5.0): 0.0404153859976, (4.0, 9.0): 0.0038138204248, (5.0, 5.0): 0.0404264165212, (2.0, 9.0): 0.00381521366854, (3.0, 10.0): 0.00191326073795, (4.0, 4.0): 0.0404159561622, (8.0, 10.0): 0.00159488598511, (1.0, 5.0): 0.0201958961927, (9.0, 11.0): 0.000320808754839, (4.0, 11.0): 0.000959145544361, (3.0, 6.0): 0.0303264746611, (8.0, 6.0): 0.025266668899, (3.0, 5.0): 0.0404153859976, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00506059939523, (4.0, 10.0): 0.0019129990541, (2.0, 6.0): 0.025266668899, (6.0, 6.0): 0.0303307711251, (7.0, 10.0): 0.00191326073795, (5.0, 11.0): 0.000798883103562, (4.0, 5.0): 0.0606308490093, (8.0, 11.0): 0.00096047781414, (6.0, 11.0): 0.000959145544361, (2.0, 7.0): 0.0151799803713, (7.0, 7.0): 0.0151814047844, (3.0, 9.0): 0.00381413947337, (1.0, 9.0): 0.00127294308482, (8.0, 7.0): 0.0151799803713, (6.0, 12.0): 0.000240099893437, (6.0, 4.0): 0.0404159561622, (2.0, 10.0): 0.00159488598511, (6.0, 5.0): 0.0606308490093, (7.0, 9.0): 0.00381413947337, (6.0, 7.0): 0.01518292147, (6.0, 9.0): 0.0038138204248, (5.0, 10.0): 0.00191275687958, (6.0, 8.0): 0.00760647504083, (8.0, 12.0): 0.000240471015322, (5.0, 7.0): 0.0151837054726, (2.0, 11.0): 0.00096047781414, (9.0, 9.0): 0.00127294308482, (2.0, 4.0): 0.0403917923854, (3.0, 8.0): 0.00760621189402, (8.0, 8.0): 0.00633833049934, (1.0, 7.0): 0.00506059939523, (9.0, 5.0): 0.0201958961927, (7.0, 8.0): 0.00760621189402, (7.0, 6.0): 0.0303264746611, (8.0, 4.0): 0.0403917923854, }, ]
+"""
diff --git a/tracking/test_cases/q11/3-ParticlePredict.test b/tracking/test_cases/q11/3-ParticlePredict.test
new file mode 100644
index 0000000..0a10a72
--- /dev/null
+++ b/tracking/test_cases/q11/3-ParticlePredict.test
@@ -0,0 +1,34 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%
+%% % % % %%
+%    G    %
+%%       %%
+%         %
+%%       %%
+%         %
+%%       %%
+%         %
+%% % % % %%
+%%%%%%%%%%%
+%%%%%%%%P%%
+% %%%%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "100"
+numParticles: "5000"
+numGhosts: "1"
+inference: "ParticleFilter"
+ghost: "GoSouthAgent"
+L2Tolerance: "0.05"
+errorMsg: "Particle filter full test: %d inference errors."
+
diff --git a/tracking/test_cases/q11/4-ParticlePredict.solution b/tracking/test_cases/q11/4-ParticlePredict.solution
new file mode 100644
index 0000000..9588670
--- /dev/null
+++ b/tracking/test_cases/q11/4-ParticlePredict.solution
@@ -0,0 +1,155 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(16, 6): 0.00763358778626, (11, 11): 0.00763358778626, (17, 7): 0.00763358778626, (16, 9): 0.00763358778626, (14, 4): 0.00763358778626, (13, 4): 0.00763358778626, (20, 20): 0.00763358778626, (18, 4): 0.00763358778626, (18, 19): 0.00763358778626, (2, 5): 0.00763358778626, (8, 5): 0.00763358778626, (10, 8): 0.00763358778626, (11, 5): 0.00763358778626, (10, 7): 0.00763358778626, (16, 3): 0.00763358778626, (12, 6): 0.00763358778626, (16, 22): 0.00763358778626, (13, 7): 0.00763358778626, (18, 9): 0.00763358778626, (15, 4): 0.00763358778626, (18, 20): 0.00763358778626, (15, 18): 0.00763358778626, (9, 3): 0.00763358778626, (19, 24): 0.00763358778626, (12, 11): 0.00763358778626, (13, 10): 0.00763358778626, (18, 10): 0.00763358778626, (17, 18): 0.00763358778626, (9, 9): 0.00763358778626, (15, 15): 0.00763358778626, (11, 8): 0.00763358778626, (14, 8): 0.00763358778626, (21, 24): 0.00763358778626, (20, 16): 0.00763358778626, (17, 8): 0.00763358778626, (18, 15): 0.00763358778626, (8, 9): 0.00763358778626, (9, 4): 0.00763358778626, (10, 3): 0.00763358778626, (16, 7): 0.00763358778626, (11, 10): 0.00763358778626, (17, 6): 0.00763358778626, (16, 10): 0.00763358778626, (14, 5): 0.00763358778626, (13, 3): 0.00763358778626, (18, 5): 0.00763358778626, (17, 11): 0.00763358778626, (18, 16): 0.00763358778626, (8, 6): 0.00763358778626, (10, 9): 0.00763358778626, (9, 7): 0.00763358778626, (11, 4): 0.00763358778626, (10, 4): 0.00763358778626, (16, 4): 0.00763358778626, (12, 7): 0.00763358778626, (11, 9): 0.00763358778626, (15, 10): 0.00763358778626, (14, 6): 0.00763358778626, (13, 6): 0.00763358778626, (18, 6): 0.00763358778626, (17, 22): 0.00763358778626, (15, 7): 0.00763358778626, (18, 21): 0.00763358778626, (8, 3): 0.00763358778626, (10, 10): 0.00763358778626, (11, 3): 0.00763358778626, (12, 4): 0.00763358778626, (15, 9): 0.00763358778626, (14, 3): 0.00763358778626, (13, 9): 0.00763358778626, (12, 8): 0.00763358778626, (18, 11): 0.00763358778626, (18, 22): 0.00763358778626, (9, 8): 0.00763358778626, (14, 9): 0.00763358778626, (12, 9): 0.00763358778626, (17, 15): 0.00763358778626, (21, 20): 0.00763358778626, (18, 12): 0.00763358778626, (15, 11): 0.00763358778626, (8, 10): 0.00763358778626, (9, 11): 0.00763358778626, (12, 3): 0.00763358778626, (17, 5): 0.00763358778626, (16, 11): 0.00763358778626, (14, 10): 0.00763358778626, (17, 10): 0.00763358778626, (15, 3): 0.00763358778626, (18, 17): 0.00763358778626, (8, 7): 0.00763358778626, (9, 6): 0.00763358778626, (11, 7): 0.00763358778626, (10, 5): 0.00763358778626, (16, 5): 0.00763358778626, (20, 24): 0.00763358778626, (19, 16): 0.00763358778626, (16, 8): 0.00763358778626, (14, 7): 0.00763358778626, (13, 5): 0.00763358778626, (18, 7): 0.00763358778626, (15, 6): 0.00763358778626, (18, 18): 0.00763358778626, (8, 4): 0.00763358778626, (10, 11): 0.00763358778626, (13, 8): 0.00763358778626, (10, 6): 0.00763358778626, (15, 22): 0.00763358778626, (12, 5): 0.00763358778626, (17, 3): 0.00763358778626, (15, 8): 0.00763358778626, (21, 16): 0.00763358778626, (18, 8): 0.00763358778626, (15, 5): 0.00763358778626, (18, 23): 0.00763358778626, (16, 15): 0.00763358778626, (12, 10): 0.00763358778626, (16, 18): 0.00763358778626, (13, 11): 0.00763358778626, (18, 13): 0.00763358778626, (18, 24): 0.00763358778626, (8, 11): 0.00763358778626, (9, 10): 0.00763358778626, (19, 20): 0.00763358778626, (17, 4): 0.00763358778626, (14, 11): 0.00763358778626, (18, 3): 0.00763358778626, (17, 9): 0.00763358778626, (18, 14): 0.00763358778626, (8, 8): 0.00763358778626, (9, 5): 0.00763358778626, (11, 6): 0.00763358778626, }, ]
+1 Stop [{(16, 6): 0.00763358778626, (11, 11): 0.00763358778626, (17, 7): 0.00763358778626, (16, 9): 0.00763358778626, (14, 4): 0.00763358778626, (13, 4): 0.00763358778626, (20, 20): 0.00763358778626, (18, 4): 0.00763358778626, (18, 19): 0.00763358778626, (2, 5): 0.00763358778626, (8, 5): 0.00763358778626, (10, 8): 0.00763358778626, (11, 5): 0.00763358778626, (10, 7): 0.00763358778626, (16, 3): 0.00763358778626, (12, 6): 0.00763358778626, (16, 22): 0.00763358778626, (13, 7): 0.00763358778626, (18, 9): 0.00763358778626, (15, 4): 0.00763358778626, (18, 20): 0.00763358778626, (15, 18): 0.00763358778626, (9, 3): 0.00763358778626, (19, 24): 0.00763358778626, (12, 11): 0.00763358778626, (13, 10): 0.00763358778626, (18, 10): 0.00763358778626, (17, 18): 0.00763358778626, (9, 9): 0.00763358778626, (15, 15): 0.00763358778626, (11, 8): 0.00763358778626, (14, 8): 0.00763358778626, (21, 24): 0.00763358778626, (20, 16): 0.00763358778626, (17, 8): 0.00763358778626, (18, 15): 0.00763358778626, (8, 9): 0.00763358778626, (9, 4): 0.00763358778626, (10, 3): 0.00763358778626, (16, 7): 0.00763358778626, (11, 10): 0.00763358778626, (17, 6): 0.00763358778626, (16, 10): 0.00763358778626, (14, 5): 0.00763358778626, (13, 3): 0.00763358778626, (18, 5): 0.00763358778626, (17, 11): 0.00763358778626, (18, 16): 0.00763358778626, (8, 6): 0.00763358778626, (10, 9): 0.00763358778626, (9, 7): 0.00763358778626, (11, 4): 0.00763358778626, (10, 4): 0.00763358778626, (16, 4): 0.00763358778626, (12, 7): 0.00763358778626, (11, 9): 0.00763358778626, (15, 10): 0.00763358778626, (14, 6): 0.00763358778626, (13, 6): 0.00763358778626, (18, 6): 0.00763358778626, (17, 22): 0.00763358778626, (15, 7): 0.00763358778626, (18, 21): 0.00763358778626, (8, 3): 0.00763358778626, (10, 10): 0.00763358778626, (11, 3): 0.00763358778626, (12, 4): 0.00763358778626, (15, 9): 0.00763358778626, (14, 3): 0.00763358778626, (13, 9): 0.00763358778626, (12, 8): 0.00763358778626, (18, 11): 0.00763358778626, (18, 22): 0.00763358778626, (9, 8): 0.00763358778626, (14, 9): 0.00763358778626, (12, 9): 0.00763358778626, (17, 15): 0.00763358778626, (21, 20): 0.00763358778626, (18, 12): 0.00763358778626, (15, 11): 0.00763358778626, (8, 10): 0.00763358778626, (9, 11): 0.00763358778626, (12, 3): 0.00763358778626, (17, 5): 0.00763358778626, (16, 11): 0.00763358778626, (14, 10): 0.00763358778626, (17, 10): 0.00763358778626, (15, 3): 0.00763358778626, (18, 17): 0.00763358778626, (8, 7): 0.00763358778626, (9, 6): 0.00763358778626, (11, 7): 0.00763358778626, (10, 5): 0.00763358778626, (16, 5): 0.00763358778626, (20, 24): 0.00763358778626, (19, 16): 0.00763358778626, (16, 8): 0.00763358778626, (14, 7): 0.00763358778626, (13, 5): 0.00763358778626, (18, 7): 0.00763358778626, (15, 6): 0.00763358778626, (18, 18): 0.00763358778626, (8, 4): 0.00763358778626, (10, 11): 0.00763358778626, (13, 8): 0.00763358778626, (10, 6): 0.00763358778626, (15, 22): 0.00763358778626, (12, 5): 0.00763358778626, (17, 3): 0.00763358778626, (15, 8): 0.00763358778626, (21, 16): 0.00763358778626, (18, 8): 0.00763358778626, (15, 5): 0.00763358778626, (18, 23): 0.00763358778626, (16, 15): 0.00763358778626, (12, 10): 0.00763358778626, (16, 18): 0.00763358778626, (13, 11): 0.00763358778626, (18, 13): 0.00763358778626, (18, 24): 0.00763358778626, (8, 11): 0.00763358778626, (9, 10): 0.00763358778626, (19, 20): 0.00763358778626, (17, 4): 0.00763358778626, (14, 11): 0.00763358778626, (18, 3): 0.00763358778626, (17, 9): 0.00763358778626, (18, 14): 0.00763358778626, (8, 8): 0.00763358778626, (9, 5): 0.00763358778626, (11, 6): 0.00763358778626, }, ]
+2 Stop [{(16.0, 6.0): 0.00763358778626, (11.0, 11.0): 0.00725190839695, (17.0, 7.0): 0.00801526717557, (16.0, 9.0): 0.00763358778626, (14.0, 4.0): 0.00801526717557, (13.0, 4.0): 0.00801526717557, (20.0, 20.0): 0.0089058524173, (18.0, 4.0): 0.00788804071247, (18.0, 19.0): 0.00636132315522, (8.0, 5.0): 0.00725190839695, (10.0, 8.0): 0.00763358778626, (11.0, 5.0): 0.00763358778626, (10.0, 7.0): 0.00763358778626, (16.0, 3.0): 0.00725190839695, (12.0, 6.0): 0.00763358778626, (16.0, 22.0): 0.0089058524173, (13.0, 7.0): 0.00763358778626, (18.0, 9.0): 0.00725190839695, (15.0, 4.0): 0.00801526717557, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00636132315522, (9.0, 3.0): 0.00788804071247, (19.0, 24.0): 0.00763358778626, (12.0, 11.0): 0.00725190839695, (13.0, 10.0): 0.00801526717557, (18.0, 10.0): 0.00725190839695, (17.0, 18.0): 0.00699745547074, (9.0, 9.0): 0.00801526717557, (16.0, 18.0): 0.0089058524173, (11.0, 8.0): 0.00763358778626, (14.0, 8.0): 0.00763358778626, (21.0, 24.0): 0.00636132315522, (20.0, 16.0): 0.0089058524173, (17.0, 8.0): 0.00801526717557, (18.0, 15.0): 0.0089058524173, (8.0, 9.0): 0.00725190839695, (9.0, 4.0): 0.00839694656489, (10.0, 3.0): 0.00725190839695, (16.0, 7.0): 0.00763358778626, (11.0, 10.0): 0.00801526717557, (17.0, 6.0): 0.00801526717557, (16.0, 10.0): 0.00801526717557, (14.0, 5.0): 0.00763358778626, (13.0, 3.0): 0.00725190839695, (18.0, 5.0): 0.00725190839695, (17.0, 11.0): 0.00725190839695, (18.0, 16.0): 0.0089058524173, (8.0, 6.0): 0.00725190839695, (10.0, 9.0): 0.00763358778626, (9.0, 7.0): 0.00801526717557, (11.0, 4.0): 0.00801526717557, (10.0, 4.0): 0.00801526717557, (16.0, 4.0): 0.00801526717557, (12.0, 7.0): 0.00763358778626, (11.0, 9.0): 0.00763358778626, (15.0, 10.0): 0.00801526717557, (14.0, 6.0): 0.00763358778626, (13.0, 6.0): 0.00763358778626, (18.0, 6.0): 0.00725190839695, (17.0, 22.0): 0.00699745547074, (15.0, 7.0): 0.00763358778626, (18.0, 21.0): 0.00636132315522, (8.0, 3.0): 0.00636132315522, (10.0, 10.0): 0.00801526717557, (11.0, 3.0): 0.00725190839695, (12.0, 4.0): 0.00801526717557, (15.0, 9.0): 0.00763358778626, (14.0, 3.0): 0.00725190839695, (13.0, 9.0): 0.00763358778626, (12.0, 8.0): 0.00763358778626, (18.0, 11.0): 0.00826972010178, (18.0, 22.0): 0.00954198473282, (9.0, 8.0): 0.00801526717557, (14.0, 9.0): 0.00763358778626, (12.0, 9.0): 0.00763358778626, (17.0, 15.0): 0.00699745547074, (21.0, 20.0): 0.00636132315522, (18.0, 12.0): 0.00699745547074, (15.0, 11.0): 0.00725190839695, (8.0, 10.0): 0.00788804071247, (9.0, 11.0): 0.00788804071247, (12.0, 3.0): 0.00725190839695, (17.0, 5.0): 0.00801526717557, (16.0, 11.0): 0.00725190839695, (14.0, 10.0): 0.00801526717557, (17.0, 10.0): 0.00839694656489, (15.0, 3.0): 0.00725190839695, (18.0, 17.0): 0.00636132315522, (8.0, 7.0): 0.00725190839695, (9.0, 6.0): 0.00801526717557, (11.0, 7.0): 0.00763358778626, (10.0, 5.0): 0.00763358778626, (16.0, 5.0): 0.00763358778626, (20.0, 24.0): 0.0089058524173, (19.0, 16.0): 0.00699745547074, (16.0, 8.0): 0.00763358778626, (14.0, 7.0): 0.00763358778626, (13.0, 5.0): 0.00763358778626, (18.0, 20.0): 0.00954198473282, (18.0, 7.0): 0.00725190839695, (15.0, 6.0): 0.00763358778626, (18.0, 18.0): 0.00954198473282, (8.0, 4.0): 0.00788804071247, (10.0, 11.0): 0.00725190839695, (13.0, 8.0): 0.00763358778626, (10.0, 6.0): 0.00763358778626, (15.0, 22.0): 0.00636132315522, (12.0, 5.0): 0.00763358778626, (17.0, 3.0): 0.00788804071247, (15.0, 8.0): 0.00763358778626, (21.0, 16.0): 0.00636132315522, (18.0, 8.0): 0.00725190839695, (15.0, 5.0): 0.00763358778626, (18.0, 23.0): 0.00699745547074, (16.0, 15.0): 0.0089058524173, (12.0, 10.0): 0.00801526717557, (15.0, 15.0): 0.00636132315522, (13.0, 11.0): 0.00725190839695, (18.0, 13.0): 0.00763358778626, (18.0, 24.0): 0.00763358778626, (8.0, 11.0): 0.00636132315522, (9.0, 10.0): 0.00839694656489, (19.0, 20.0): 0.00699745547074, (17.0, 4.0): 0.00839694656489, (14.0, 11.0): 0.00725190839695, (18.0, 3.0): 0.00636132315522, (17.0, 9.0): 0.00801526717557, (18.0, 14.0): 0.00699745547074, (8.0, 8.0): 0.00725190839695, (9.0, 5.0): 0.00801526717557, (11.0, 6.0): 0.00763358778626, }, ]
+3 Stop [{(16.0, 6.0): 0.00770992366412, (11.0, 11.0): 0.00704198473282, (17.0, 7.0): 0.00814885496183, (16.0, 9.0): 0.00778625954198, (14.0, 4.0): 0.00814885496183, (13.0, 4.0): 0.00814885496183, (20.0, 20.0): 0.00848176420696, (18.0, 4.0): 0.00758481764207, (18.0, 19.0): 0.00689143341815, (8.0, 5.0): 0.0072010178117, (10.0, 8.0): 0.00770992366412, (11.0, 5.0): 0.00770992366412, (10.0, 7.0): 0.00770992366412, (16.0, 3.0): 0.0072010178117, (12.0, 6.0): 0.00763358778626, (16.0, 22.0): 0.00848176420696, (13.0, 7.0): 0.00763358778626, (18.0, 9.0): 0.00704198473282, (15.0, 4.0): 0.00814885496183, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00614927905004, (9.0, 3.0): 0.00758481764207, (19.0, 24.0): 0.00805767599661, (12.0, 11.0): 0.00704198473282, (13.0, 10.0): 0.00814885496183, (18.0, 10.0): 0.0073727735369, (17.0, 18.0): 0.00768659881255, (9.0, 9.0): 0.00822519083969, (16.0, 18.0): 0.00848176420696, (11.0, 8.0): 0.00763358778626, (14.0, 8.0): 0.00763358778626, (21.0, 24.0): 0.00614927905004, (20.0, 16.0): 0.00848176420696, (17.0, 8.0): 0.00814885496183, (18.0, 15.0): 0.00911789652248, (8.0, 9.0): 0.0072010178117, (9.0, 4.0): 0.00882951653944, (10.0, 3.0): 0.0072010178117, (16.0, 7.0): 0.00770992366412, (11.0, 10.0): 0.00814885496183, (17.0, 6.0): 0.00814885496183, (16.0, 10.0): 0.00822519083969, (14.0, 5.0): 0.00770992366412, (13.0, 3.0): 0.00704198473282, (18.0, 5.0): 0.0072010178117, (17.0, 11.0): 0.0073727735369, (18.0, 16.0): 0.0089058524173, (8.0, 6.0): 0.00704198473282, (10.0, 9.0): 0.00778625954198, (9.0, 7.0): 0.00814885496183, (11.0, 4.0): 0.00814885496183, (10.0, 4.0): 0.00822519083969, (16.0, 4.0): 0.00822519083969, (12.0, 7.0): 0.00763358778626, (11.0, 9.0): 0.00770992366412, (15.0, 10.0): 0.00814885496183, (14.0, 6.0): 0.00763358778626, (13.0, 6.0): 0.00763358778626, (18.0, 6.0): 0.00704198473282, (17.0, 22.0): 0.00768659881255, (15.0, 7.0): 0.00763358778626, (18.0, 21.0): 0.00689143341815, (8.0, 3.0): 0.00606446140797, (10.0, 10.0): 0.00822519083969, (11.0, 3.0): 0.00704198473282, (12.0, 4.0): 0.00814885496183, (15.0, 9.0): 0.00770992366412, (14.0, 3.0): 0.00704198473282, (13.0, 9.0): 0.00770992366412, (12.0, 8.0): 0.00763358778626, (18.0, 11.0): 0.00802586938083, (18.0, 22.0): 0.00917090754877, (9.0, 8.0): 0.00814885496183, (14.0, 9.0): 0.00770992366412, (12.0, 9.0): 0.00770992366412, (17.0, 15.0): 0.00752756573367, (21.0, 20.0): 0.00614927905004, (18.0, 12.0): 0.00694444444444, (15.0, 11.0): 0.00704198473282, (8.0, 10.0): 0.00758481764207, (9.0, 11.0): 0.00758481764207, (12.0, 3.0): 0.00704198473282, (17.0, 5.0): 0.00822519083969, (16.0, 11.0): 0.00704198473282, (14.0, 10.0): 0.00814885496183, (17.0, 10.0): 0.00851145038168, (15.0, 3.0): 0.00704198473282, (18.0, 17.0): 0.00673240033927, (8.0, 7.0): 0.00704198473282, (9.0, 6.0): 0.00814885496183, (11.0, 7.0): 0.00763358778626, (10.0, 5.0): 0.00778625954198, (16.0, 5.0): 0.00778625954198, (20.0, 24.0): 0.00869380831213, (19.0, 16.0): 0.00752756573367, (16.0, 8.0): 0.00770992366412, (14.0, 7.0): 0.00763358778626, (13.0, 5.0): 0.00770992366412, (18.0, 20.0): 0.0089588634436, (18.0, 7.0): 0.00704198473282, (15.0, 6.0): 0.00763358778626, (18.0, 18.0): 0.0089588634436, (8.0, 4.0): 0.00758481764207, (10.0, 11.0): 0.0072010178117, (13.0, 8.0): 0.00763358778626, (10.0, 6.0): 0.00770992366412, (15.0, 22.0): 0.00614927905004, (12.0, 5.0): 0.00770992366412, (17.0, 3.0): 0.00758481764207, (15.0, 8.0): 0.00763358778626, (21.0, 16.0): 0.00614927905004, (18.0, 8.0): 0.00704198473282, (15.0, 5.0): 0.00770992366412, (18.0, 23.0): 0.00726251060221, (16.0, 15.0): 0.00848176420696, (12.0, 10.0): 0.00814885496183, (15.0, 15.0): 0.00614927905004, (13.0, 11.0): 0.00704198473282, (18.0, 13.0): 0.00720949957591, (18.0, 24.0): 0.00742154368109, (8.0, 11.0): 0.00606446140797, (9.0, 10.0): 0.00882951653944, (19.0, 20.0): 0.00768659881255, (17.0, 4.0): 0.00882951653944, (14.0, 11.0): 0.00704198473282, (18.0, 3.0): 0.00606446140797, (17.0, 9.0): 0.00822519083969, (18.0, 14.0): 0.00710347752332, (8.0, 8.0): 0.00704198473282, (9.0, 5.0): 0.00822519083969, (11.0, 6.0): 0.00763358778626, }, ]
+4 Stop [{(16.0, 6.0): 0.00779770992366, (11.0, 11.0): 0.0069510178117, (17.0, 7.0): 0.00819179389313, (16.0, 9.0): 0.00793129770992, (14.0, 4.0): 0.00819179389313, (13.0, 4.0): 0.00819179389313, (20.0, 20.0): 0.00846409386486, (18.0, 4.0): 0.00748384930732, (18.0, 19.0): 0.00677657619452, (8.0, 5.0): 0.00710199321459, (10.0, 8.0): 0.00779770992366, (11.0, 5.0): 0.00779770992366, (10.0, 7.0): 0.00778244274809, (16.0, 3.0): 0.00710199321459, (12.0, 6.0): 0.00764885496183, (16.0, 22.0): 0.00846409386486, (13.0, 7.0): 0.00763358778626, (18.0, 9.0): 0.00700922391858, (15.0, 4.0): 0.0082070610687, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00590189426067, (9.0, 3.0): 0.00748384930732, (19.0, 24.0): 0.00805767599661, (12.0, 11.0): 0.00691125954198, (13.0, 10.0): 0.00819179389313, (18.0, 10.0): 0.00731244698897, (17.0, 18.0): 0.00762917020074, (9.0, 9.0): 0.00839821882952, (16.0, 18.0): 0.00846409386486, (11.0, 8.0): 0.0076641221374, (14.0, 8.0): 0.00764885496183, (21.0, 24.0): 0.00597257562906, (20.0, 16.0): 0.00841108283856, (17.0, 8.0): 0.0082070610687, (18.0, 15.0): 0.00938295165394, (8.0, 9.0): 0.00710199321459, (9.0, 4.0): 0.0088483884648, (10.0, 3.0): 0.00710199321459, (16.0, 7.0): 0.00778244274809, (11.0, 10.0): 0.0082070610687, (17.0, 6.0): 0.0082070610687, (16.0, 10.0): 0.00829484732824, (14.0, 5.0): 0.00778244274809, (13.0, 3.0): 0.00691125954198, (18.0, 5.0): 0.00710199321459, (17.0, 11.0): 0.00731244698897, (18.0, 16.0): 0.00925925925926, (8.0, 6.0): 0.0069510178117, (10.0, 9.0): 0.00793129770992, (9.0, 7.0): 0.00819179389313, (11.0, 4.0): 0.0082070610687, (10.0, 4.0): 0.00839821882952, (16.0, 4.0): 0.00839821882952, (12.0, 7.0): 0.00763358778626, (11.0, 9.0): 0.00779770992366, (15.0, 10.0): 0.0082070610687, (14.0, 6.0): 0.00764885496183, (13.0, 6.0): 0.00764885496183, (18.0, 6.0): 0.0069510178117, (17.0, 22.0): 0.00768218122703, (15.0, 7.0): 0.00764885496183, (18.0, 21.0): 0.00682958722081, (8.0, 3.0): 0.00581389595703, (10.0, 10.0): 0.00839821882952, (11.0, 3.0): 0.0069510178117, (12.0, 4.0): 0.00819179389313, (15.0, 9.0): 0.00779770992366, (14.0, 3.0): 0.00691125954198, (13.0, 9.0): 0.00778244274809, (12.0, 8.0): 0.00764885496183, (18.0, 11.0): 0.00800766892847, (18.0, 22.0): 0.0095729078315, (9.0, 8.0): 0.0082070610687, (14.0, 9.0): 0.00778244274809, (12.0, 9.0): 0.00778244274809, (17.0, 15.0): 0.00761591744416, (21.0, 20.0): 0.00590189426067, (18.0, 12.0): 0.00672444868533, (15.0, 11.0): 0.00691125954198, (8.0, 10.0): 0.00748384930732, (9.0, 11.0): 0.00748384930732, (12.0, 3.0): 0.00691125954198, (17.0, 5.0): 0.00839821882952, (16.0, 11.0): 0.00700922391858, (14.0, 10.0): 0.00819179389313, (17.0, 10.0): 0.00867875318066, (15.0, 3.0): 0.0069510178117, (18.0, 17.0): 0.00671031241165, (8.0, 7.0): 0.00691125954198, (9.0, 6.0): 0.0082070610687, (11.0, 7.0): 0.00764885496183, (10.0, 5.0): 0.00793129770992, (16.0, 5.0): 0.00793129770992, (20.0, 24.0): 0.00865846762793, (19.0, 16.0): 0.00756290641787, (16.0, 8.0): 0.00779770992366, (14.0, 7.0): 0.00763358778626, (13.0, 5.0): 0.00778244274809, (18.0, 20.0): 0.00939620441052, (18.0, 7.0): 0.00691125954198, (15.0, 6.0): 0.0076641221374, (18.0, 18.0): 0.00934319338422, (8.0, 4.0): 0.00748384930732, (10.0, 11.0): 0.00710199321459, (13.0, 8.0): 0.00764885496183, (10.0, 6.0): 0.00779770992366, (15.0, 22.0): 0.00590189426067, (12.0, 5.0): 0.00778244274809, (17.0, 3.0): 0.00748384930732, (15.0, 8.0): 0.0076641221374, (21.0, 16.0): 0.00590189426067, (18.0, 8.0): 0.00691125954198, (15.0, 5.0): 0.00779770992366, (18.0, 23.0): 0.00718741164829, (16.0, 15.0): 0.00841108283856, (12.0, 10.0): 0.00819179389313, (15.0, 15.0): 0.00590189426067, (13.0, 11.0): 0.00691125954198, (18.0, 13.0): 0.00708580718123, (18.0, 24.0): 0.00758057675997, (8.0, 11.0): 0.00581389595703, (9.0, 10.0): 0.0088483884648, (19.0, 20.0): 0.00762917020074, (17.0, 4.0): 0.0088483884648, (14.0, 11.0): 0.00691125954198, (18.0, 3.0): 0.00581389595703, (17.0, 9.0): 0.00829484732824, (18.0, 14.0): 0.00705046649703, (8.0, 8.0): 0.0069510178117, (9.0, 5.0): 0.00839821882952, (11.0, 6.0): 0.0076641221374, }, ]
+5 Stop [{(16.0, 6.0): 0.00787652671756, (11.0, 11.0): 0.00688247985581, (17.0, 7.0): 0.00820548664122, (16.0, 9.0): 0.00802328244275, (14.0, 4.0): 0.00820243320611, (13.0, 4.0): 0.00819937977099, (20.0, 20.0): 0.00831536848553, (18.0, 4.0): 0.00735410364245, (18.0, 19.0): 0.00694370818019, (8.0, 5.0): 0.00706385884931, (10.0, 8.0): 0.00787652671756, (11.0, 5.0): 0.00787652671756, (10.0, 7.0): 0.00784370229008, (16.0, 3.0): 0.00706385884931, (12.0, 6.0): 0.00767557251908, (16.0, 22.0): 0.00833303882763, (13.0, 7.0): 0.00763969465649, (18.0, 9.0): 0.00696720207803, (15.0, 4.0): 0.00825671119593, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00577231175196, (9.0, 3.0): 0.00735410364245, (19.0, 24.0): 0.00809890679484, (12.0, 11.0): 0.00683174300254, (13.0, 10.0): 0.00819937977099, (18.0, 10.0): 0.00731808559514, (17.0, 18.0): 0.00770021970125, (9.0, 9.0): 0.00845249151824, (16.0, 18.0): 0.00831536848553, (11.0, 8.0): 0.00771145038168, (14.0, 8.0): 0.00767557251908, (21.0, 24.0): 0.00587244369051, (20.0, 16.0): 0.00827561021581, (17.0, 8.0): 0.00822609732824, (18.0, 15.0): 0.00954934737537, (8.0, 9.0): 0.00706385884931, (9.0, 4.0): 0.00887088987843, (10.0, 3.0): 0.00706385884931, (16.0, 7.0): 0.00784370229008, (11.0, 10.0): 0.00825671119593, (17.0, 6.0): 0.00825671119593, (16.0, 10.0): 0.00837469783715, (14.0, 5.0): 0.00784064885496, (13.0, 3.0): 0.00682180343511, (18.0, 5.0): 0.00706385884931, (17.0, 11.0): 0.00731808559514, (18.0, 16.0): 0.00941829233814, (8.0, 6.0): 0.00688247985581, (10.0, 9.0): 0.00806463104326, (9.0, 7.0): 0.00820548664122, (11.0, 4.0): 0.00825671119593, (10.0, 4.0): 0.00845249151824, (16.0, 4.0): 0.00845249151824, (12.0, 7.0): 0.0076427480916, (11.0, 9.0): 0.00787652671756, (15.0, 10.0): 0.00822609732824, (14.0, 6.0): 0.00767557251908, (13.0, 6.0): 0.00767251908397, (18.0, 6.0): 0.00688247985581, (17.0, 22.0): 0.00777531865517, (15.0, 7.0): 0.0076786259542, (18.0, 21.0): 0.00701880713411, (8.0, 3.0): 0.00567988997267, (10.0, 10.0): 0.00845249151824, (11.0, 3.0): 0.00688247985581, (12.0, 4.0): 0.00820243320611, (15.0, 9.0): 0.00787652671756, (14.0, 3.0): 0.00683174300254, (13.0, 9.0): 0.00783759541985, (12.0, 8.0): 0.00767557251908, (18.0, 11.0): 0.00789962362171, (18.0, 22.0): 0.00962628698992, (9.0, 8.0): 0.00825671119593, (14.0, 9.0): 0.00784064885496, (12.0, 9.0): 0.00784064885496, (17.0, 15.0): 0.00768807134106, (21.0, 20.0): 0.00577231175196, (18.0, 12.0): 0.0066053358543, (15.0, 11.0): 0.00684934796438, (8.0, 10.0): 0.00735410364245, (9.0, 11.0): 0.00735410364245, (12.0, 3.0): 0.00683174300254, (17.0, 5.0): 0.00845249151824, (16.0, 11.0): 0.00696720207803, (14.0, 10.0): 0.00820243320611, (17.0, 10.0): 0.00870991306192, (15.0, 3.0): 0.00688247985581, (18.0, 17.0): 0.00688738396475, (8.0, 7.0): 0.00684168256997, (9.0, 6.0): 0.00825671119593, (11.0, 7.0): 0.0076786259542, (10.0, 5.0): 0.00806463104326, (16.0, 5.0): 0.00806463104326, (20.0, 24.0): 0.00855833568938, (19.0, 16.0): 0.00763947790029, (16.0, 8.0): 0.00787652671756, (14.0, 7.0): 0.0076427480916, (13.0, 5.0): 0.00783759541985, (18.0, 20.0): 0.00942749564132, (18.0, 7.0): 0.00683174300254, (15.0, 6.0): 0.00771145038168, (18.0, 18.0): 0.00937448461502, (8.0, 4.0): 0.00735410364245, (10.0, 11.0): 0.00706385884931, (13.0, 8.0): 0.00767251908397, (10.0, 6.0): 0.00787652671756, (15.0, 22.0): 0.00577231175196, (12.0, 5.0): 0.00784064885496, (17.0, 3.0): 0.00735410364245, (15.0, 8.0): 0.00771145038168, (21.0, 16.0): 0.00575464140986, (18.0, 8.0): 0.00684934796438, (15.0, 5.0): 0.00787652671756, (18.0, 23.0): 0.00731588976063, (16.0, 15.0): 0.00829328055791, (12.0, 10.0): 0.00820243320611, (15.0, 15.0): 0.00575464140986, (13.0, 11.0): 0.00682180343511, (18.0, 13.0): 0.00695357412119, (18.0, 24.0): 0.00760855480162, (8.0, 11.0): 0.00567988997267, (9.0, 10.0): 0.00887088987843, (19.0, 20.0): 0.00771347245783, (17.0, 4.0): 0.00887088987843, (14.0, 11.0): 0.00682180343511, (18.0, 3.0): 0.00567988997267, (17.0, 9.0): 0.00837469783715, (18.0, 14.0): 0.00705782913957, (8.0, 8.0): 0.00688247985581, (9.0, 5.0): 0.00845249151824, (11.0, 6.0): 0.00771145038168, }, ]
+6 Stop [{(16.0, 6.0): 0.0079506043257, (11.0, 11.0): 0.0068458626661, (17.0, 7.0): 0.00821433524173, (16.0, 9.0): 0.00810514631043, (14.0, 4.0): 0.00820777035623, (13.0, 4.0): 0.00819381917939, (20.0, 20.0): 0.0082291028571, (18.0, 4.0): 0.00727196525618, (18.0, 19.0): 0.00701506445748, (8.0, 5.0): 0.00701560889054, (10.0, 8.0): 0.0079506043257, (11.0, 5.0): 0.00794999363868, (10.0, 7.0): 0.00789617366412, (16.0, 3.0): 0.00701560889054, (12.0, 6.0): 0.00770858778626, (16.0, 22.0): 0.00825560837024, (13.0, 7.0): 0.00765404580153, (18.0, 9.0): 0.00695859847682, (15.0, 4.0): 0.00827825249152, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00565794537116, (9.0, 3.0): 0.00727196525618, (19.0, 24.0): 0.00808859909528, (12.0, 11.0): 0.00677449321459, (13.0, 10.0): 0.00819381917939, (18.0, 10.0): 0.0072882104361, (17.0, 18.0): 0.00768215054935, (9.0, 9.0): 0.0084949094395, (16.0, 18.0): 0.00822468527157, (11.0, 8.0): 0.00776374045802, (14.0, 8.0): 0.00770858778626, (21.0, 24.0): 0.00578900040838, (20.0, 16.0): 0.00818235007696, (17.0, 8.0): 0.00824889869593, (18.0, 15.0): 0.00965721008859, (8.0, 9.0): 0.00701560889054, (9.0, 4.0): 0.0088322264042, (10.0, 3.0): 0.00701560889054, (16.0, 7.0): 0.00789617366412, (11.0, 10.0): 0.00827825249152, (17.0, 6.0): 0.00827886317854, (16.0, 10.0): 0.00840859865352, (14.0, 5.0): 0.00788655534351, (13.0, 3.0): 0.00676119831425, (18.0, 5.0): 0.00701560889054, (17.0, 11.0): 0.0072882104361, (18.0, 16.0): 0.00958419721672, (8.0, 6.0): 0.00684834755796, (10.0, 9.0): 0.00814453350297, (9.0, 7.0): 0.00822294290712, (11.0, 4.0): 0.00827825249152, (10.0, 4.0): 0.0084949094395, (16.0, 4.0): 0.0084949094395, (12.0, 7.0): 0.00766244274809, (11.0, 9.0): 0.00794999363868, (15.0, 10.0): 0.00824828800891, (14.0, 6.0): 0.00770858778626, (13.0, 6.0): 0.00770019083969, (18.0, 6.0): 0.0068458626661, (17.0, 22.0): 0.00777602424175, (15.0, 7.0): 0.00771759541985, (18.0, 21.0): 0.00710304803584, (8.0, 3.0): 0.00557034847878, (10.0, 10.0): 0.0084949094395, (11.0, 3.0): 0.0068458626661, (12.0, 4.0): 0.00820777035623, (15.0, 9.0): 0.00793560114504, (14.0, 3.0): 0.00677449321459, (13.0, 9.0): 0.00787815839695, (12.0, 8.0): 0.00770858778626, (18.0, 11.0): 0.0078357273211, (18.0, 22.0): 0.00977657693078, (9.0, 8.0): 0.00827886317854, (14.0, 9.0): 0.00788655534351, (12.0, 9.0): 0.00788655534351, (17.0, 15.0): 0.0077144541435, (21.0, 20.0): 0.00565794537116, (18.0, 12.0): 0.00649454256393, (15.0, 11.0): 0.00680480783503, (8.0, 10.0): 0.00727196525618, (9.0, 11.0): 0.00727196525618, (12.0, 3.0): 0.00677449321459, (17.0, 5.0): 0.0084949094395, (16.0, 11.0): 0.00695859847682, (14.0, 10.0): 0.00819916269084, (17.0, 10.0): 0.00875090454481, (15.0, 3.0): 0.0068458626661, (18.0, 17.0): 0.00699398889321, (8.0, 7.0): 0.00679275789864, (9.0, 6.0): 0.00827886317854, (11.0, 7.0): 0.00771759541985, (10.0, 5.0): 0.00814453350297, (16.0, 5.0): 0.00814453350297, (20.0, 24.0): 0.00848863600666, (19.0, 16.0): 0.00765960245657, (16.0, 8.0): 0.00793621183206, (14.0, 7.0): 0.00766244274809, (13.0, 5.0): 0.00787815839695, (18.0, 20.0): 0.0095822031677, (18.0, 7.0): 0.00678199003393, (15.0, 6.0): 0.00776374045802, (18.0, 18.0): 0.00952072510249, (8.0, 4.0): 0.00727196525618, (10.0, 11.0): 0.00701560889054, (13.0, 8.0): 0.00770019083969, (10.0, 6.0): 0.0079506043257, (15.0, 22.0): 0.00566383548519, (12.0, 5.0): 0.00788655534351, (17.0, 3.0): 0.00727196525618, (15.0, 8.0): 0.00776374045802, (21.0, 16.0): 0.00563585744353, (18.0, 8.0): 0.00680729272689, (15.0, 5.0): 0.00794999363868, (18.0, 23.0): 0.00738138660156, (16.0, 15.0): 0.00820443800459, (12.0, 10.0): 0.00820777035623, (15.0, 15.0): 0.00564174755757, (13.0, 11.0): 0.00675871342239, (18.0, 13.0): 0.00687224637169, (18.0, 24.0): 0.00767445045236, (8.0, 11.0): 0.00557034847878, (9.0, 10.0): 0.0088322264042, (19.0, 20.0): 0.00769982089145, (17.0, 4.0): 0.0088322264042, (14.0, 11.0): 0.00676372534987, (18.0, 3.0): 0.00557034847878, (17.0, 9.0): 0.00840859865352, (18.0, 14.0): 0.00705780459743, (8.0, 8.0): 0.00684834755796, (9.0, 5.0): 0.0084949094395, (11.0, 6.0): 0.00776374045802, }, ]
+7 Stop [{(16.0, 6.0): 0.00800678302587, (11.0, 11.0): 0.00681464169111, (17.0, 7.0): 0.00822315166455, (16.0, 9.0): 0.00815883131891, (14.0, 4.0): 0.00820690277778, (13.0, 4.0): 0.00818780323632, (20.0, 20.0): 0.00813861393509, (18.0, 4.0): 0.00719512164378, (18.0, 19.0): 0.00711408688671, (8.0, 5.0): 0.00698296231407, (10.0, 8.0): 0.00800678302587, (11.0, 5.0): 0.00800461508694, (10.0, 7.0): 0.0079475841285, (16.0, 3.0): 0.0069823410911, (12.0, 6.0): 0.00774430343511, (16.0, 22.0): 0.00817579527992, (13.0, 7.0): 0.00767586259542, (18.0, 9.0): 0.00694524514066, (15.0, 4.0): 0.00829765085171, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00557053444277, (9.0, 3.0): 0.00719512164378, (19.0, 24.0): 0.00808389518477, (12.0, 11.0): 0.00673632139702, (13.0, 10.0): 0.00818546048028, (18.0, 10.0): 0.00727081496747, (17.0, 18.0): 0.0076824598826, (9.0, 9.0): 0.00850400872768, (16.0, 18.0): 0.00813125129255, (11.0, 8.0): 0.0078181043257, (14.0, 8.0): 0.00774430343511, (21.0, 24.0): 0.00572404553974, (20.0, 16.0): 0.00809857956628, (17.0, 8.0): 0.00826343206637, (18.0, 15.0): 0.0097344380733, (8.0, 9.0): 0.00698296231407, (9.0, 4.0): 0.00880039168473, (10.0, 3.0): 0.0069823410911, (16.0, 7.0): 0.00794298409669, (11.0, 10.0): 0.00829765085171, (17.0, 6.0): 0.00829920810362, (16.0, 10.0): 0.00844223712274, (14.0, 5.0): 0.00792621310433, (13.0, 3.0): 0.00671631002173, (18.0, 5.0): 0.0069823410911, (17.0, 11.0): 0.00727081496747, (18.0, 16.0): 0.00969488227625, (8.0, 6.0): 0.00681995122249, (10.0, 9.0): 0.00820699006927, (9.0, 7.0): 0.00823355806033, (11.0, 4.0): 0.00829765085171, (10.0, 4.0): 0.00850388659027, (16.0, 4.0): 0.00850388659027, (12.0, 7.0): 0.0076902519084, (11.0, 9.0): 0.00800461508694, (15.0, 10.0): 0.00825953205842, (14.0, 6.0): 0.00774430343511, (13.0, 6.0): 0.00772991412214, (18.0, 6.0): 0.00681663803335, (17.0, 22.0): 0.00778802177003, (15.0, 7.0): 0.00776073854962, (18.0, 21.0): 0.00720737770324, (8.0, 3.0): 0.00549276545435, (10.0, 10.0): 0.00850388659027, (11.0, 3.0): 0.00681464169111, (12.0, 4.0): 0.00820690277778, (15.0, 9.0): 0.00798786625318, (14.0, 3.0): 0.00673694261998, (13.0, 9.0): 0.00790905582061, (12.0, 8.0): 0.00774430343511, (18.0, 11.0): 0.00776788456964, (18.0, 22.0): 0.00986429719241, (9.0, 8.0): 0.00830155085966, (14.0, 9.0): 0.00792161307252, (12.0, 9.0): 0.00792621310433, (17.0, 15.0): 0.00772059990484, (21.0, 20.0): 0.00557200697128, (18.0, 12.0): 0.00641452814215, (15.0, 11.0): 0.00678144051721, (8.0, 10.0): 0.00719512164378, (9.0, 11.0): 0.00719512164378, (12.0, 3.0): 0.00673694261998, (17.0, 5.0): 0.00850400872768, (16.0, 11.0): 0.00694462391769, (14.0, 10.0): 0.008196496382, (17.0, 10.0): 0.00875772558842, (15.0, 3.0): 0.00681464169111, (18.0, 17.0): 0.00710756021087, (8.0, 7.0): 0.00676695183507, (9.0, 6.0): 0.00830155085966, (11.0, 7.0): 0.00776073854962, (10.0, 5.0): 0.00820699006927, (16.0, 5.0): 0.00820699006927, (20.0, 24.0): 0.00842024523817, (19.0, 16.0): 0.00767670014869, (16.0, 8.0): 0.00799003419211, (14.0, 7.0): 0.0076902519084, (13.0, 5.0): 0.00790905582061, (18.0, 20.0): 0.00966819525352, (18.0, 7.0): 0.00675165340507, (15.0, 6.0): 0.0078181043257, (18.0, 18.0): 0.00961058257564, (8.0, 4.0): 0.00719512164378, (10.0, 11.0): 0.0069823410911, (13.0, 8.0): 0.00772991412214, (10.0, 6.0): 0.00800678302587, (15.0, 22.0): 0.00558378719934, (12.0, 5.0): 0.00792621310433, (17.0, 3.0): 0.00719512164378, (15.0, 8.0): 0.00781234732824, (21.0, 16.0): 0.00554537874742, (18.0, 8.0): 0.00678675004859, (15.0, 5.0): 0.00800461508694, (18.0, 23.0): 0.007462756584, (16.0, 15.0): 0.00812717116148, (12.0, 10.0): 0.00820690277778, (15.0, 15.0): 0.00555568644698, (13.0, 11.0): 0.00671299683259, (18.0, 13.0): 0.00680819784435, (18.0, 24.0): 0.00771481204973, (8.0, 11.0): 0.00549276545435, (9.0, 10.0): 0.00880039168473, (19.0, 20.0): 0.00770519204144, (17.0, 4.0): 0.00880039168473, (14.0, 11.0): 0.00672164418999, (18.0, 3.0): 0.00549276545435, (17.0, 9.0): 0.00844235926014, (18.0, 14.0): 0.00705765284519, (8.0, 8.0): 0.00681995122249, (9.0, 5.0): 0.00850400872768, (11.0, 6.0): 0.0078181043257, }, ]
+8 Stop [{(16.0, 6.0): 0.00805481392423, (11.0, 11.0): 0.00679285621515, (17.0, 7.0): 0.00823366853751, (16.0, 9.0): 0.00820426562942, (14.0, 4.0): 0.00820794964902, (13.0, 4.0): 0.00818121042793, (20.0, 20.0): 0.00806727214448, (18.0, 4.0): 0.00713536583878, (18.0, 19.0): 0.00719105675286, (8.0, 5.0): 0.00695031054062, (10.0, 8.0): 0.0080562024818, (11.0, 5.0): 0.00805071468759, (10.0, 7.0): 0.00799108935804, (16.0, 3.0): 0.00694880342455, (12.0, 6.0): 0.00778175737913, (16.0, 22.0): 0.00811316594965, (13.0, 7.0): 0.0077032389313, (18.0, 9.0): 0.00693917439121, (15.0, 4.0): 0.00830627148412, (1, 1): 0.00763358778626, (15.0, 18.0): 0.0054956843189, (9.0, 3.0): 0.00713536583878, (19.0, 24.0): 0.00807298415756, (12.0, 11.0): 0.00670737053574, (13.0, 10.0): 0.00817783230028, (18.0, 10.0): 0.00724753128712, (17.0, 18.0): 0.00767388270229, (9.0, 9.0): 0.00850832884678, (16.0, 18.0): 0.00805650427977, (11.0, 8.0): 0.00786690888465, (14.0, 8.0): 0.00777968597328, (21.0, 24.0): 0.0056687711826, (20.0, 16.0): 0.00803111594537, (17.0, 8.0): 0.00828048294878, (18.0, 15.0): 0.0097834143374, (8.0, 9.0): 0.00695031054062, (9.0, 4.0): 0.00875921822243, (10.0, 3.0): 0.00694880342455, (16.0, 7.0): 0.00798473830577, (11.0, 10.0): 0.00830627148412, (17.0, 6.0): 0.00831078981268, (16.0, 10.0): 0.00845982119712, (14.0, 5.0): 0.00795821804495, (13.0, 3.0): 0.00668510946269, (18.0, 5.0): 0.00694932693759, (17.0, 11.0): 0.00724737598138, (18.0, 16.0): 0.00978541687391, (8.0, 6.0): 0.00680277651484, (10.0, 9.0): 0.0082452567, (9.0, 7.0): 0.0082485867404, (11.0, 4.0): 0.00830627148412, (10.0, 4.0): 0.00850736911197, (16.0, 4.0): 0.00850736911197, (12.0, 7.0): 0.00772309198473, (11.0, 9.0): 0.00805071468759, (15.0, 10.0): 0.00827258649257, (14.0, 6.0): 0.00778175737913, (13.0, 6.0): 0.00776068788168, (18.0, 6.0): 0.00679749975311, (17.0, 22.0): 0.00778734664809, (15.0, 7.0): 0.00780488524173, (18.0, 21.0): 0.00728558234589, (8.0, 3.0): 0.00542848264001, (10.0, 10.0): 0.00850736911197, (11.0, 3.0): 0.00679301152089, (12.0, 4.0): 0.00820794964902, (15.0, 9.0): 0.00802803800626, (14.0, 3.0): 0.00670835413876, (13.0, 9.0): 0.00793445131997, (12.0, 8.0): 0.00778175737913, (18.0, 11.0): 0.00771555467352, (18.0, 22.0): 0.00995212631719, (9.0, 8.0): 0.00831416794033, (14.0, 9.0): 0.00795186699268, (12.0, 9.0): 0.00795821804495, (17.0, 15.0): 0.00771619987377, (21.0, 20.0): 0.00549887479734, (18.0, 12.0): 0.00634954647124, (15.0, 11.0): 0.00676383356791, (8.0, 10.0): 0.00713552114452, (9.0, 11.0): 0.00713536583878, (12.0, 3.0): 0.00670835413876, (17.0, 5.0): 0.00850770498983, (16.0, 11.0): 0.00693766727514, (14.0, 10.0): 0.00819303144614, (17.0, 10.0): 0.00876387187799, (15.0, 3.0): 0.00679301152089, (18.0, 17.0): 0.00719555294993, (8.0, 7.0): 0.00674842518208, (9.0, 6.0): 0.00831416794033, (11.0, 7.0): 0.00780695664758, (10.0, 5.0): 0.0082452567, (16.0, 5.0): 0.0082452567, (20.0, 24.0): 0.00836340291085, (19.0, 16.0): 0.00768214714072, (16.0, 8.0): 0.00803352580047, (14.0, 7.0): 0.00772309198473, (13.0, 5.0): 0.00793583987754, (18.0, 20.0): 0.00975926769051, (18.0, 7.0): 0.00673339070466, (15.0, 6.0): 0.00786690888465, (18.0, 18.0): 0.0097040146373, (8.0, 4.0): 0.00713552114452, (10.0, 11.0): 0.00694880342455, (13.0, 8.0): 0.00776068788168, (10.0, 6.0): 0.0080562024818, (15.0, 22.0): 0.00551715869298, (12.0, 5.0): 0.00795821804495, (17.0, 3.0): 0.00713536583878, (15.0, 8.0): 0.00785905795165, (21.0, 16.0): 0.0054722158958, (18.0, 8.0): 0.00677359856186, (15.0, 5.0): 0.00805071468759, (18.0, 23.0): 0.00752526384268, (16.0, 15.0): 0.00806043357893, (12.0, 10.0): 0.00820732579207, (15.0, 15.0): 0.00548690027732, (13.0, 11.0): 0.00667983270096, (18.0, 13.0): 0.00676012627723, (18.0, 24.0): 0.00775382127283, (8.0, 11.0): 0.00542848264001, (9.0, 10.0): 0.00875921822243, (19.0, 20.0): 0.00769831747222, (17.0, 4.0): 0.00875921822243, (14.0, 11.0): 0.00669331966135, (18.0, 3.0): 0.00542848264001, (17.0, 9.0): 0.00846078093193, (18.0, 14.0): 0.00705555974817, (8.0, 8.0): 0.00680277651484, (9.0, 5.0): 0.00850832884678, (11.0, 6.0): 0.00786690888465, }, ]
+9 Stop [{(16.0, 6.0): 0.00809250152547, (11.0, 11.0): 0.00677351184068, (17.0, 7.0): 0.00824528359711, (16.0, 9.0): 0.00823728631304, (14.0, 4.0): 0.0082078184559, (13.0, 4.0): 0.00817786728638, (20.0, 20.0): 0.00800463393757, (18.0, 4.0): 0.00708251105192, (18.0, 19.0): 0.00726283949957, (8.0, 5.0): 0.00692381781935, (10.0, 8.0): 0.00809472507296, (11.0, 5.0): 0.00808547396026, (10.0, 7.0): 0.00803180754192, (16.0, 3.0): 0.00692076901845, (12.0, 6.0): 0.00781813283503, (16.0, 22.0): 0.0080587502124, (13.0, 7.0): 0.00773415973282, (18.0, 9.0): 0.00693223224643, (15.0, 4.0): 0.00831271386676, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00543334358604, (9.0, 3.0): 0.00708238017366, (19.0, 24.0): 0.00806340278041, (12.0, 11.0): 0.00668648002137, (13.0, 10.0): 0.00817248634693, (18.0, 10.0): 0.00722833946356, (17.0, 18.0): 0.00766946598668, (9.0, 9.0): 0.00850297197706, (16.0, 18.0): 0.0079913044868, (11.0, 8.0): 0.00791250801615, (14.0, 8.0): 0.00781487815681, (21.0, 24.0): 0.00562218656158, (20.0, 16.0): 0.00797386230993, (17.0, 8.0): 0.0082950912842, (18.0, 15.0): 0.00981612767681, (8.0, 9.0): 0.00692381781935, (9.0, 4.0): 0.00872270498206, (10.0, 3.0): 0.00692076901845, (16.0, 7.0): 0.00802232636194, (11.0, 10.0): 0.00831255026894, (17.0, 6.0): 0.00832077039113, (16.0, 10.0): 0.00847452585821, (14.0, 5.0): 0.00798689592765, (13.0, 3.0): 0.00666169652064, (18.0, 5.0): 0.00692208913034, (17.0, 11.0): 0.00722792385811, (18.0, 16.0): 0.00985144116638, (8.0, 6.0): 0.00678821164745, (10.0, 9.0): 0.00827357436563, (9.0, 7.0): 0.00826070869134, (11.0, 4.0): 0.00831271386676, (10.0, 4.0): 0.00850082395984, (16.0, 4.0): 0.00850082395984, (12.0, 7.0): 0.00775936046438, (11.0, 9.0): 0.00808547396026, (15.0, 10.0): 0.00828165382039, (14.0, 6.0): 0.00781813283503, (13.0, 6.0): 0.00779265628976, (18.0, 6.0): 0.00678221231138, (17.0, 22.0): 0.00778820244521, (15.0, 7.0): 0.00784773647371, (18.0, 21.0): 0.00735637595056, (8.0, 3.0): 0.00537721595916, (10.0, 10.0): 0.00850082395984, (11.0, 3.0): 0.00677379656788, (12.0, 4.0): 0.0082078184559, (15.0, 9.0): 0.00806316301452, (14.0, 3.0): 0.00668820871039, (13.0, 9.0): 0.00795661130791, (12.0, 8.0): 0.00781813283503, (18.0, 11.0): 0.00766913097592, (18.0, 22.0): 0.0100207625249, (9.0, 8.0): 0.00832615133057, (14.0, 9.0): 0.00797741474767, (12.0, 9.0): 0.00798649344474, (17.0, 15.0): 0.00770473140191, (21.0, 20.0): 0.0054385281135, (18.0, 12.0): 0.00629877958454, (15.0, 11.0): 0.00675322242461, (8.0, 10.0): 0.00708279577911, (9.0, 11.0): 0.00708238017366, (12.0, 3.0): 0.00668820871039, (17.0, 5.0): 0.00850192567939, (16.0, 11.0): 0.00692918344553, (14.0, 10.0): 0.00819239336167, (17.0, 10.0): 0.00876062161854, (15.0, 3.0): 0.00677379656788, (18.0, 17.0): 0.00727087552778, (8.0, 7.0): 0.00673821190102, (9.0, 6.0): 0.00832615133057, (11.0, 7.0): 0.00785099115193, (10.0, 5.0): 0.00827357436563, (16.0, 5.0): 0.00827317188273, (20.0, 24.0): 0.00831318128077, (19.0, 16.0): 0.00768410858051, (16.0, 8.0): 0.00807241412722, (14.0, 7.0): 0.00775853190204, (13.0, 5.0): 0.00795883485541, (18.0, 20.0): 0.00983146911295, (18.0, 7.0): 0.00672285596241, (15.0, 6.0): 0.00791181602347, (18.0, 18.0): 0.00977950112769, (8.0, 4.0): 0.00708279577911, (10.0, 11.0): 0.00692073019202, (13.0, 8.0): 0.00779196429707, (10.0, 6.0): 0.00809472507296, (15.0, 22.0): 0.00546296799637, (12.0, 5.0): 0.00798689592765, (17.0, 3.0): 0.00708238017366, (15.0, 8.0): 0.00790103859468, (21.0, 16.0): 0.00541314659636, (18.0, 8.0): 0.00676763750419, (15.0, 5.0): 0.00808547396026, (18.0, 23.0): 0.00758105995114, (16.0, 15.0): 0.00800232795622, (12.0, 10.0): 0.00820677215822, (15.0, 15.0): 0.00543026133163, (13.0, 11.0): 0.00665569718457, (18.0, 13.0): 0.00672174416555, (18.0, 24.0): 0.00778402309102, (8.0, 11.0): 0.00537721595916, (9.0, 10.0): 0.00872270498206, (19.0, 20.0): 0.00769501346153, (17.0, 4.0): 0.00872254138424, (14.0, 11.0): 0.00667285277178, (18.0, 3.0): 0.00537717713273, (17.0, 9.0): 0.00847667387543, (18.0, 14.0): 0.00705108225948, (8.0, 8.0): 0.00678821164745, (9.0, 5.0): 0.00850297197706, (11.0, 6.0): 0.00791250801615, }, ]
+10 Stop [{(16.0, 6.0): 0.00812411723695, (11.0, 11.0): 0.00675769056731, (17.0, 7.0): 0.00825740831748, (16.0, 9.0): 0.00826481263768, (14.0, 4.0): 0.00820911128493, (13.0, 4.0): 0.00817589194088, (20.0, 20.0): 0.00795247985645, (18.0, 4.0): 0.00703805069999, (18.0, 19.0): 0.00732368906002, (8.0, 5.0): 0.00689930070689, (10.0, 8.0): 0.00812775326545, (11.0, 5.0): 0.00811423322729, (10.0, 7.0): 0.00806659150622, (16.0, 3.0): 0.00689440123196, (12.0, 6.0): 0.00785391070659, (16.0, 22.0): 0.00801380155073, (13.0, 7.0): 0.00776733453721, (18.0, 9.0): 0.00692738707863, (15.0, 4.0): 0.00831481519052, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00538043995529, (9.0, 3.0): 0.00703773361416, (19.0, 24.0): 0.0080535357174, (12.0, 11.0): 0.0066702766933, (13.0, 10.0): 0.00816957693109, (18.0, 10.0): 0.00720954999519, (17.0, 18.0): 0.00766513210642, (9.0, 9.0): 0.0084960349859, (16.0, 18.0): 0.00793692861751, (11.0, 8.0): 0.00795236620727, (14.0, 8.0): 0.00784876553965, (21.0, 24.0): 0.00558215370771, (20.0, 16.0): 0.00792589692832, (17.0, 8.0): 0.00830980195284, (18.0, 15.0): 0.0098354967646, (8.0, 9.0): 0.00689930070689, (9.0, 4.0): 0.00868659417198, (10.0, 3.0): 0.00689440123196, (16.0, 7.0): 0.00805605241709, (11.0, 10.0): 0.00831450202962, (17.0, 6.0): 0.00832764931646, (16.0, 10.0): 0.00848311338342, (14.0, 5.0): 0.00801143120685, (13.0, 3.0): 0.00664510194263, (18.0, 5.0): 0.00689708825928, (17.0, 11.0): 0.0072086838936, (18.0, 16.0): 0.00990188691356, (8.0, 6.0): 0.00677779060807, (10.0, 9.0): 0.00829151386715, (9.0, 7.0): 0.00827351675414, (11.0, 4.0): 0.00831481519052, (10.0, 4.0): 0.00849215568947, (16.0, 4.0): 0.00849204247333, (12.0, 7.0): 0.00779615540384, (11.0, 9.0): 0.00811412001115, (15.0, 10.0): 0.00829065281711, (14.0, 6.0): 0.00785360659559, (13.0, 6.0): 0.00782438330961, (18.0, 6.0): 0.00677094342926, (17.0, 22.0): 0.00778750818375, (15.0, 7.0): 0.00788828987117, (18.0, 21.0): 0.0074151832263, (8.0, 3.0): 0.00533369930791, (10.0, 10.0): 0.0084921132633, (11.0, 3.0): 0.00675823634753, (12.0, 4.0): 0.00820911128493, (15.0, 9.0): 0.00809211129806, (14.0, 3.0): 0.00667248914091, (13.0, 9.0): 0.00797699402887, (12.0, 8.0): 0.00785369181148, (18.0, 11.0): 0.00763094176924, (18.0, 22.0): 0.0100804034135, (9.0, 8.0): 0.00833396432625, (14.0, 9.0): 0.00800089211772, (12.0, 9.0): 0.00801069674123, (17.0, 15.0): 0.00768971837191, (21.0, 20.0): 0.00538747536927, (18.0, 12.0): 0.00625745732734, (15.0, 11.0): 0.00674514542456, (8.0, 10.0): 0.00703859971575, (9.0, 11.0): 0.00703772390755, (12.0, 3.0): 0.00667248914091, (17.0, 5.0): 0.00849420415008, (16.0, 11.0): 0.0069224876037, (14.0, 10.0): 0.00819300284828, (17.0, 10.0): 0.00875643010085, (15.0, 3.0): 0.00675823634753, (18.0, 17.0): 0.00733136074944, (8.0, 7.0): 0.00673080053725, (9.0, 6.0): 0.00833396432625, (11.0, 7.0): 0.00789343503811, (10.0, 5.0): 0.00829151386715, (16.0, 5.0): 0.00829077940154, (20.0, 24.0): 0.00826995463452, (19.0, 16.0): 0.00768218392174, (16.0, 8.0): 0.00810563133622, (14.0, 7.0): 0.00779468782008, (13.0, 5.0): 0.00798063005737, (18.0, 20.0): 0.00989594358212, (18.0, 7.0): 0.00671723316392, (15.0, 6.0): 0.00795113216359, (18.0, 18.0): 0.00984593561993, (8.0, 4.0): 0.00703859971575, (10.0, 11.0): 0.00689432034356, (13.0, 8.0): 0.00782314926593, (10.0, 6.0): 0.00812775326545, (15.0, 22.0): 0.00541773406899, (12.0, 5.0): 0.00801143120685, (17.0, 3.0): 0.00703768795245, (15.0, 8.0): 0.00793984607338, (21.0, 16.0): 0.00536452740149, (18.0, 8.0): 0.0067646996851, (15.0, 5.0): 0.00811401433217, (18.0, 23.0): 0.0076268849786, (16.0, 15.0): 0.00795081711853, (12.0, 10.0): 0.00820728044911, (15.0, 15.0): 0.00538257331789, (13.0, 11.0): 0.00663825476382, (18.0, 13.0): 0.00669053533652, (18.0, 24.0): 0.00780949527419, (8.0, 11.0): 0.00533369930791, (9.0, 10.0): 0.00868659417198, (19.0, 20.0): 0.00769108307794, (17.0, 4.0): 0.00868628101109, (14.0, 11.0): 0.00665892176757, (18.0, 3.0): 0.00533361518397, (17.0, 9.0): 0.00848699267985, (18.0, 14.0): 0.00704497406088, (8.0, 8.0): 0.00677779060807, (9.0, 5.0): 0.0084960349859, (11.0, 6.0): 0.00795236620727, }, ]
+11 Stop [{(16.0, 6.0): 0.00814994610712, (11.0, 11.0): 0.00674347230697, (17.0, 7.0): 0.00826949069175, (16.0, 9.0): 0.00828653226704, (14.0, 4.0): 0.00821037220986, (13.0, 4.0): 0.00817622439928, (20.0, 20.0): 0.00790825866276, (18.0, 4.0): 0.00699891267002, (18.0, 19.0): 0.00737669948719, (8.0, 5.0): 0.00687812975486, (10.0, 8.0): 0.00815443783447, (11.0, 5.0): 0.00813687193982, (10.0, 7.0): 0.00809780996587, (16.0, 3.0): 0.00687098987765, (12.0, 6.0): 0.00788764936683, (16.0, 22.0): 0.00797597027932, (13.0, 7.0): 0.00780114206733, (18.0, 9.0): 0.0069228077257, (15.0, 4.0): 0.00831555574307, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00533586285015, (9.0, 3.0): 0.00699825231523, (19.0, 24.0): 0.00804432854204, (12.0, 11.0): 0.00665801159593, (13.0, 10.0): 0.00816893454242, (18.0, 10.0): 0.00719325573094, (17.0, 18.0): 0.00766217081296, (9.0, 9.0): 0.00848644664698, (16.0, 18.0): 0.00789090688562, (11.0, 8.0): 0.00798827326669, (14.0, 8.0): 0.00788146816335, (21.0, 24.0): 0.0055477283987, (20.0, 16.0): 0.00788495731743, (17.0, 8.0): 0.00832314177855, (18.0, 15.0): 0.0098459100638, (8.0, 9.0): 0.00687812975486, (9.0, 4.0): 0.00865404030195, (10.0, 3.0): 0.00687102393631, (16.0, 7.0): 0.00808629983578, (11.0, 10.0): 0.00831502579246, (17.0, 6.0): 0.00833341166151, (16.0, 10.0): 0.00848962368874, (14.0, 5.0): 0.00803375869538, (13.0, 3.0): 0.00663269844429, (18.0, 5.0): 0.00687536142715, (17.0, 11.0): 0.00719181433681, (18.0, 16.0): 0.00993886080993, (8.0, 6.0): 0.0067687658283, (10.0, 9.0): 0.00830430707859, (9.0, 7.0): 0.00828430751688, (11.0, 4.0): 0.00831562216533, (10.0, 4.0): 0.00848061609182, (16.0, 4.0): 0.00848038392329, (12.0, 7.0): 0.00783290549945, (11.0, 9.0): 0.00813663977128, (15.0, 10.0): 0.00829806242551, (14.0, 6.0): 0.00788704821914, (13.0, 6.0): 0.00785597304127, (18.0, 6.0): 0.00676184607641, (17.0, 22.0): 0.0077872040982, (15.0, 7.0): 0.00792600166906, (18.0, 21.0): 0.00746581449101, (8.0, 3.0): 0.00529698310178, (10.0, 10.0): 0.0084805247523, (11.0, 3.0): 0.0067442447182, (12.0, 4.0): 0.00821037220986, (15.0, 9.0): 0.00811766298879, (14.0, 3.0): 0.00666077911475, (13.0, 9.0): 0.00799626181697, (12.0, 8.0): 0.00788721188595, (18.0, 11.0): 0.00759811302362, (18.0, 22.0): 0.0101299596496, (9.0, 8.0): 0.00834070151837, (14.0, 9.0): 0.00802235316651, (12.0, 9.0): 0.00803255660837, (17.0, 15.0): 0.0076723860213, (21.0, 20.0): 0.00534456430345, (18.0, 12.0): 0.00622373299693, (15.0, 11.0): 0.00673976926238, (8.0, 10.0): 0.00699969370936, (9.0, 11.0): 0.00699822966648, (12.0, 3.0): 0.00666077911475, (17.0, 5.0): 0.00848405484065, (16.0, 11.0): 0.00691570190715, (14.0, 10.0): 0.00819555538473, (17.0, 10.0): 0.00874986570502, (15.0, 3.0): 0.0067442447182, (18.0, 17.0): 0.00738074254985, (8.0, 7.0): 0.00672629878917, (9.0, 6.0): 0.00834070151837, (11.0, 7.0): 0.00793218287254, (10.0, 5.0): 0.00830433820705, (16.0, 5.0): 0.00830303151881, (20.0, 24.0): 0.0082322403045, (19.0, 16.0): 0.00767816534508, (16.0, 8.0): 0.00813522888344, (14.0, 7.0): 0.00783053687274, (13.0, 5.0): 0.00800075354431, (18.0, 20.0): 0.00995063768362, (18.0, 7.0): 0.00671470073306, (15.0, 6.0): 0.00798623203989, (18.0, 18.0): 0.00990154454361, (8.0, 4.0): 0.00699969370936, (10.0, 11.0): 0.00687085635726, (13.0, 8.0): 0.00785398703663, (10.0, 6.0): 0.00815443783447, (15.0, 22.0): 0.00538013421807, (12.0, 5.0): 0.00803386329661, (17.0, 3.0): 0.00699815022631, (15.0, 8.0): 0.0079749288237, (21.0, 16.0): 0.00532422934352, (18.0, 8.0): 0.00676429037248, (15.0, 5.0): 0.00813643445893, (18.0, 23.0): 0.00766556093764, (16.0, 15.0): 0.00790479848909, (12.0, 10.0): 0.00820798040354, (15.0, 15.0): 0.00534155903179, (13.0, 11.0): 0.00662577869239, (18.0, 13.0): 0.00666432224158, (18.0, 24.0): 0.00782997199006, (8.0, 11.0): 0.00529698067513, (9.0, 10.0): 0.00865402939006, (19.0, 20.0): 0.00768850687366, (17.0, 4.0): 0.00865344019001, (14.0, 11.0): 0.00664918105864, (18.0, 3.0): 0.0052968063911, (17.0, 9.0): 0.0084954542439, (18.0, 14.0): 0.00703737732362, (8.0, 8.0): 0.0067687658283, (9.0, 5.0): 0.00848644664698, (11.0, 6.0): 0.00798833968894, }, ]
+12 Stop [{(16.0, 6.0): 0.00817178423262, (11.0, 11.0): 0.00673109022353, (17.0, 7.0): 0.00828114397678, (16.0, 9.0): 0.00830490041438, (14.0, 4.0): 0.00821237698821, (13.0, 4.0): 0.00817771908373, (20.0, 20.0): 0.0078712039972, (18.0, 4.0): 0.00696485869266, (18.0, 19.0): 0.00742194538587, (8.0, 5.0): 0.00685893665253, (10.0, 8.0): 0.0081771059328, (11.0, 5.0): 0.00815580705955, (10.0, 7.0): 0.00812463520485, (16.0, 3.0): 0.0068494229902, (12.0, 6.0): 0.00791974617862, (16.0, 22.0): 0.00794445856821, (13.0, 7.0): 0.00783490890348, (18.0, 9.0): 0.00691917930606, (15.0, 4.0): 0.00831461044658, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00529823372028, (9.0, 3.0): 0.0069637881572, (19.0, 24.0): 0.0080355136122, (12.0, 11.0): 0.00664841172953, (13.0, 10.0): 0.00817019110263, (18.0, 10.0): 0.00717851726107, (17.0, 18.0): 0.00765974536876, (9.0, 9.0): 0.00847662936551, (16.0, 18.0): 0.00785229065793, (11.0, 8.0): 0.00801974912619, (14.0, 8.0): 0.00791265481259, (21.0, 24.0): 0.00551794430085, (20.0, 16.0): 0.00784982222593, (17.0, 8.0): 0.00833573571265, (18.0, 15.0): 0.00984944716674, (8.0, 9.0): 0.00685893665253, (9.0, 4.0): 0.0086237071143, (10.0, 3.0): 0.0068495034608, (16.0, 7.0): 0.00811339343743, (11.0, 10.0): 0.00831390222066, (17.0, 6.0): 0.00833784217931, (16.0, 10.0): 0.00849374229405, (14.0, 5.0): 0.00805367342553, (13.0, 3.0): 0.0066238090483, (18.0, 5.0): 0.00685584101153, (17.0, 11.0): 0.0071763804579, (18.0, 16.0): 0.00996582868341, (8.0, 6.0): 0.00676143889676, (10.0, 9.0): 0.00831247121672, (9.0, 7.0): 0.00829427880119, (11.0, 4.0): 0.00831475766092, (10.0, 4.0): 0.00846867933731, (16.0, 4.0): 0.00846822974445, (12.0, 7.0): 0.00786821833842, (11.0, 9.0): 0.00815536050348, (15.0, 10.0): 0.00830512321315, (14.0, 6.0): 0.00791870977369, (13.0, 6.0): 0.00788651324778, (18.0, 6.0): 0.00675465939146, (17.0, 22.0): 0.00778688137157, (15.0, 7.0): 0.00796079984823, (18.0, 21.0): 0.00750875416364, (8.0, 3.0): 0.00526514754008, (10.0, 10.0): 0.008468491492, (11.0, 3.0): 0.00673213637538, (12.0, 4.0): 0.0082124111929, (15.0, 9.0): 0.00813990793431, (14.0, 3.0): 0.00665150501128, (13.0, 9.0): 0.00801481863418, (12.0, 8.0): 0.00791898685942, (18.0, 11.0): 0.00757037343849, (18.0, 22.0): 0.0101720164214, (9.0, 8.0): 0.00834537016042, (14.0, 9.0): 0.00804266030407, (12.0, 9.0): 0.00805213009722, (17.0, 15.0): 0.00765387235275, (21.0, 20.0): 0.00530836837265, (18.0, 12.0): 0.00619554666874, (15.0, 11.0): 0.00673577554215, (8.0, 10.0): 0.00696592196911, (9.0, 11.0): 0.00696373760899, (12.0, 3.0): 0.00665150501128, (17.0, 5.0): 0.00847362799898, (16.0, 11.0): 0.00690974611433, (14.0, 10.0): 0.0081992763685, (17.0, 10.0): 0.00874325624447, (15.0, 3.0): 0.00673211457627, (18.0, 17.0): 0.007420348855, (8.0, 7.0): 0.00672281911482, (9.0, 6.0): 0.00834537016042, (11.0, 7.0): 0.0079679022587, (10.0, 5.0): 0.00831254214403, (16.0, 5.0): 0.00831077016976, (20.0, 24.0): 0.00819938714819, (19.0, 16.0): 0.00767242275665, (16.0, 8.0): 0.0081612263177, (14.0, 7.0): 0.00786523939833, (13.0, 5.0): 0.00802011459537, (18.0, 20.0): 0.00999799970486, (18.0, 7.0): 0.00671410743384, (15.0, 6.0): 0.00801713249883, (18.0, 18.0): 0.00994859041923, (8.0, 4.0): 0.00696592496037, (10.0, 11.0): 0.00684924453314, (13.0, 8.0): 0.00788401419405, (10.0, 6.0): 0.00817712544294, (15.0, 22.0): 0.00534872386881, (12.0, 5.0): 0.00805390207149, (17.0, 3.0): 0.00696357519436, (15.0, 8.0): 0.00800705810567, (21.0, 16.0): 0.00529043377757, (18.0, 8.0): 0.00676507806352, (15.0, 5.0): 0.00815500249122, (18.0, 23.0): 0.00769766755497, (16.0, 15.0): 0.00786317435269, (12.0, 10.0): 0.00820940236834, (15.0, 15.0): 0.00530571234559, (13.0, 11.0): 0.00661702974523, (18.0, 13.0): 0.00664181085404, (18.0, 24.0): 0.00784662048991, (8.0, 11.0): 0.005265141069, (9.0, 10.0): 0.00862368100183, (19.0, 20.0): 0.00768658126638, (17.0, 4.0): 0.00862284151487, (14.0, 11.0): 0.0066427933303, (18.0, 3.0): 0.00526486785445, (17.0, 9.0): 0.00850170073033, (18.0, 14.0): 0.00702871070435, (8.0, 8.0): 0.00676143889676, (9.0, 5.0): 0.00847663777358, (11.0, 6.0): 0.00801989634052, }, ]
+13 Stop [{(16.0, 6.0): 0.00819018450359, (11.0, 11.0): 0.00671996706568, (17.0, 7.0): 0.00829214991969, (16.0, 9.0): 0.00832029553816, (14.0, 4.0): 0.00821455224163, (13.0, 4.0): 0.00818047663412, (20.0, 20.0): 0.00784011260752, (18.0, 4.0): 0.0069346991805, (18.0, 19.0): 0.00746062932631, (8.0, 5.0): 0.00684190268213, (10.0, 8.0): 0.00819586632819, (11.0, 5.0): 0.0081713810553, (10.0, 7.0): 0.00814820952809, (16.0, 3.0): 0.0068299241391, (12.0, 6.0): 0.00794965523536, (16.0, 22.0): 0.00791814191433, (13.0, 7.0): 0.00786777881641, (18.0, 9.0): 0.00691603380373, (15.0, 4.0): 0.00831307257816, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00526654707945, (9.0, 3.0): 0.00693311350738, (19.0, 24.0): 0.0080271737501, (12.0, 11.0): 0.00664101339824, (13.0, 10.0): 0.00817299513104, (18.0, 10.0): 0.0071656687503, (17.0, 18.0): 0.00765782628037, (9.0, 9.0): 0.00846636451203, (16.0, 18.0): 0.00781979553571, (11.0, 8.0): 0.00804782093611, (14.0, 8.0): 0.00794232536294, (21.0, 24.0): 0.00549210119982, (20.0, 16.0): 0.00781929854965, (17.0, 8.0): 0.00834723086337, (18.0, 15.0): 0.0098480133149, (8.0, 9.0): 0.0068419002527, (9.0, 4.0): 0.00859623312443, (10.0, 3.0): 0.00683009286581, (16.0, 7.0): 0.00813766956256, (11.0, 10.0): 0.00831220387278, (17.0, 6.0): 0.0083415445254, (16.0, 10.0): 0.00849684096179, (14.0, 5.0): 0.0080719754548, (13.0, 3.0): 0.00661724858446, (18.0, 5.0): 0.00683856537371, (17.0, 11.0): 0.00716277625157, (18.0, 16.0): 0.00998474283309, (8.0, 6.0): 0.00675487269811, (10.0, 9.0): 0.0083180117021, (9.0, 7.0): 0.00830263564408, (11.0, 4.0): 0.00831336514398, (10.0, 4.0): 0.00845631311651, (16.0, 4.0): 0.00845564612268, (12.0, 7.0): 0.00790195250773, (11.0, 9.0): 0.00817072263285, (15.0, 10.0): 0.00831155384754, (14.0, 6.0): 0.00794825366883, (13.0, 6.0): 0.00791599853979, (18.0, 6.0): 0.00674872039507, (17.0, 22.0): 0.00778678408527, (15.0, 7.0): 0.0079927246577, (18.0, 21.0): 0.0075454220861, (8.0, 3.0): 0.00523747745942, (10.0, 10.0): 0.00845602031953, (11.0, 3.0): 0.00672123774405, (12.0, 4.0): 0.00821463425463, (15.0, 9.0): 0.00815992999432, (14.0, 3.0): 0.00664433255661, (13.0, 9.0): 0.00803276286643, (12.0, 8.0): 0.00794861972306, (18.0, 11.0): 0.00754650001228, (18.0, 22.0): 0.0102074384687, (9.0, 8.0): 0.00834903657617, (14.0, 9.0): 0.00806186361073, (12.0, 9.0): 0.00807013969253, (17.0, 15.0): 0.0076347106935, (21.0, 20.0): 0.00527791885206, (18.0, 12.0): 0.00617171253388, (15.0, 11.0): 0.00673310338932, (8.0, 10.0): 0.00693599787878, (9.0, 11.0): 0.0069330287589, (12.0, 3.0): 0.00664434484732, (17.0, 5.0): 0.00846297662547, (16.0, 11.0): 0.0069042239874, (14.0, 10.0): 0.00820414853024, (17.0, 10.0): 0.00873646428351, (15.0, 3.0): 0.00672118273375, (18.0, 17.0): 0.007452054394, (8.0, 7.0): 0.00672027998732, (9.0, 6.0): 0.00834904215982, (11.0, 7.0): 0.00800008025373, (10.0, 5.0): 0.00831815835148, (16.0, 5.0): 0.00831588292741, (20.0, 24.0): 0.00817060573722, (19.0, 16.0): 0.00766553883171, (16.0, 8.0): 0.00818446279757, (14.0, 7.0): 0.00789846254726, (13.0, 5.0): 0.00803838448478, (18.0, 20.0): 0.0100385935315, (18.0, 7.0): 0.00671469001756, (15.0, 6.0): 0.00804468576892, (18.0, 18.0): 0.00998782747469, (8.0, 4.0): 0.00693600600611, (10.0, 11.0): 0.00682971638981, (13.0, 8.0): 0.00791307668074, (10.0, 6.0): 0.00819591385855, (15.0, 22.0): 0.00532251479047, (12.0, 5.0): 0.00807239621959, (17.0, 3.0): 0.0069327738006, (15.0, 8.0): 0.0080363294037, (21.0, 16.0): 0.00526182429743, (18.0, 8.0): 0.00676673834338, (15.0, 5.0): 0.00817023780638, (18.0, 23.0): 0.00772443345363, (16.0, 15.0): 0.00782520507461, (12.0, 10.0): 0.00821122809015, (15.0, 15.0): 0.00527391429036, (13.0, 11.0): 0.00661109692179, (18.0, 13.0): 0.00662202274238, (18.0, 24.0): 0.00785993388569, (8.0, 11.0): 0.00523746191753, (9.0, 10.0): 0.00859617526639, (19.0, 20.0): 0.00768542834741, (17.0, 4.0): 0.00859504832342, (14.0, 11.0): 0.00663875492812, (18.0, 3.0): 0.00523706442324, (17.0, 9.0): 0.00850691344688, (18.0, 14.0): 0.00701920231115, (8.0, 8.0): 0.00675487269811, (9.0, 5.0): 0.0084663856016, (11.0, 6.0): 0.00804809545607, }, ]
+14 Stop [{(16.0, 6.0): 0.00820599345758, (11.0, 11.0): 0.00671011498799, (17.0, 7.0): 0.0083023914786, (16.0, 9.0): 0.00833368854774, (14.0, 4.0): 0.00821709852089, (13.0, 4.0): 0.00818392166915, (20.0, 20.0): 0.00781413974434, (18.0, 4.0): 0.00690801394432, (18.0, 19.0): 0.00749348169365, (8.0, 5.0): 0.00682647246691, (10.0, 8.0): 0.00821178901414, (11.0, 5.0): 0.00818467924528, (10.0, 7.0): 0.00816854112253, (16.0, 3.0): 0.0068120993929, (12.0, 6.0): 0.00797761959171, (16.0, 22.0): 0.00789623272844, (13.0, 7.0): 0.00789945381839, (18.0, 9.0): 0.00691349291373, (15.0, 4.0): 0.00831099743321, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00523987205163, (9.0, 3.0): 0.00690587403799, (19.0, 24.0): 0.00801923779101, (12.0, 11.0): 0.00663526496446, (13.0, 10.0): 0.00817700115402, (18.0, 10.0): 0.00715434349828, (17.0, 18.0): 0.0076561641407, (9.0, 9.0): 0.00845639267451, (16.0, 18.0): 0.00779248081175, (11.0, 8.0): 0.00807262197479, (14.0, 8.0): 0.00797041152107, (21.0, 24.0): 0.00546958584565, (20.0, 16.0): 0.00779252460917, (17.0, 8.0): 0.00835783599135, (18.0, 15.0): 0.00984282670521, (8.0, 9.0): 0.0068264656098, (9.0, 4.0): 0.00857106624688, (10.0, 3.0): 0.00681237365261, (16.0, 7.0): 0.00815943828822, (11.0, 10.0): 0.00831002674948, (17.0, 6.0): 0.0083445512136, (16.0, 10.0): 0.00849908692305, (14.0, 5.0): 0.00808868073129, (13.0, 3.0): 0.00661257682392, (18.0, 5.0): 0.00682309156241, (17.0, 11.0): 0.00715066791952, (18.0, 16.0): 0.0099973867789, (8.0, 6.0): 0.00674907227385, (10.0, 9.0): 0.00832139709894, (9.0, 7.0): 0.00830985477846, (11.0, 4.0): 0.0083114481501, (10.0, 4.0): 0.00844433716373, (16.0, 4.0): 0.00844341102511, (12.0, 7.0): 0.00793361730726, (11.0, 9.0): 0.00818377976728, (15.0, 10.0): 0.00831777051411, (14.0, 6.0): 0.00797587519592, (13.0, 6.0): 0.00794401414903, (18.0, 6.0): 0.00674380285166, (17.0, 22.0): 0.00778683495038, (15.0, 7.0): 0.00802197438803, (18.0, 21.0): 0.00757664869543, (8.0, 3.0): 0.00521310569818, (10.0, 10.0): 0.00844391132961, (11.0, 3.0): 0.00671159189309, (12.0, 4.0): 0.00821726066229, (15.0, 9.0): 0.00817799447889, (14.0, 3.0): 0.00663860141703, (13.0, 9.0): 0.00805016759629, (12.0, 8.0): 0.00797632190803, (18.0, 11.0): 0.00752597376483, (18.0, 22.0): 0.0102374061588, (9.0, 8.0): 0.00835149878662, (14.0, 9.0): 0.00808020607293, (12.0, 9.0): 0.008086694601, (17.0, 15.0): 0.00761530858476, (21.0, 20.0): 0.0052523302952, (18.0, 12.0): 0.00615120342849, (15.0, 11.0): 0.00673133134572, (8.0, 10.0): 0.00690953022532, (9.0, 11.0): 0.00690574197963, (12.0, 3.0): 0.00663863464489, (17.0, 5.0): 0.00845273182377, (16.0, 11.0): 0.00689939409943, (14.0, 10.0): 0.00820980095594, (17.0, 10.0): 0.0087301549889, (15.0, 3.0): 0.006711474373, (18.0, 17.0): 0.00747716070828, (8.0, 7.0): 0.0067180334747, (9.0, 6.0): 0.00835151362734, (11.0, 7.0): 0.00802923173635, (10.0, 5.0): 0.00832163039669, (16.0, 5.0): 0.00831898559711, (20.0, 24.0): 0.00814531042902, (19.0, 16.0): 0.00765779816873, (16.0, 8.0): 0.00820519763307, (14.0, 7.0): 0.00792990901063, (13.0, 5.0): 0.00805584626662, (18.0, 20.0): 0.0100734749695, (18.0, 7.0): 0.00671596717294, (15.0, 6.0): 0.00806921728108, (18.0, 18.0): 0.0100204602022, (8.0, 4.0): 0.00690954961675, (10.0, 11.0): 0.0068118821175, (13.0, 8.0): 0.00794091268992, (10.0, 6.0): 0.0082118838708, (15.0, 22.0): 0.00530063803335, (12.0, 5.0): 0.00808929024993, (17.0, 3.0): 0.00690537229069, (15.0, 8.0): 0.00806315444324, (21.0, 16.0): 0.0052373449986, (18.0, 8.0): 0.00676881171384, (15.0, 5.0): 0.00818317090713, (18.0, 23.0): 0.00774664873029, (16.0, 15.0): 0.00779026240122, (12.0, 10.0): 0.00821356670686, (15.0, 15.0): 0.00524535883672, (13.0, 11.0): 0.00660731533824, (18.0, 13.0): 0.00660431252914, (18.0, 24.0): 0.00787051369648, (8.0, 11.0): 0.00521307729859, (9.0, 10.0): 0.00857096867901, (19.0, 20.0): 0.00768482870119, (17.0, 4.0): 0.00856960245959, (14.0, 11.0): 0.00663656851586, (18.0, 3.0): 0.00521255638635, (17.0, 9.0): 0.00851118927732, (18.0, 14.0): 0.00700907834657, (8.0, 8.0): 0.00674907054977, (9.0, 5.0): 0.008456439518, (11.0, 6.0): 0.0080730251718, }, ]
+15 Stop [{(16.0, 6.0): 0.00821963716752, (11.0, 11.0): 0.00670132086738, (17.0, 7.0): 0.00831183518759, (16.0, 9.0): 0.00834543137201, (14.0, 4.0): 0.00821979002517, (13.0, 4.0): 0.00818796962977, (20.0, 20.0): 0.00779248796277, (18.0, 4.0): 0.00688421566405, (18.0, 19.0): 0.00752131102415, (8.0, 5.0): 0.00681256149298, (10.0, 8.0): 0.0082251695994, (11.0, 5.0): 0.00819601464276, (10.0, 7.0): 0.00818626010446, (16.0, 3.0): 0.00679591871917, (12.0, 6.0): 0.00800351329395, (16.0, 22.0): 0.00787800824295, (13.0, 7.0): 0.00792958139504, (18.0, 9.0): 0.00691139988693, (15.0, 4.0): 0.00830880417052, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00521742962973, (9.0, 3.0): 0.00688147707142, (19.0, 24.0): 0.0080116873055, (12.0, 11.0): 0.00663088716404, (13.0, 10.0): 0.00818193611718, (18.0, 10.0): 0.00714448354199, (17.0, 18.0): 0.00765466336804, (9.0, 9.0): 0.00844666785027, (16.0, 18.0): 0.0077694843433, (11.0, 8.0): 0.00809474888012, (14.0, 8.0): 0.00799691874756, (21.0, 24.0): 0.00544989639916, (20.0, 16.0): 0.00776878009193, (17.0, 8.0): 0.00836752580453, (18.0, 15.0): 0.00983484901481, (8.0, 9.0): 0.00681254513113, (9.0, 4.0): 0.00854822449941, (10.0, 3.0): 0.00679632732867, (16.0, 7.0): 0.0081789990491, (11.0, 10.0): 0.00830778565764, (17.0, 6.0): 0.00834708430762, (16.0, 10.0): 0.00850098871962, (14.0, 5.0): 0.00810413432437, (13.0, 3.0): 0.00660923755529, (18.0, 5.0): 0.00680927345435, (17.0, 11.0): 0.00714003994373, (18.0, 16.0): 0.0100050396634, (8.0, 6.0): 0.00674369727933, (10.0, 9.0): 0.0083234539769, (9.0, 7.0): 0.00831579003167, (11.0, 4.0): 0.00830944301755, (10.0, 4.0): 0.00843278980463, (16.0, 4.0): 0.00843162415123, (12.0, 7.0): 0.00796324887235, (11.0, 9.0): 0.0081949040383, (15.0, 10.0): 0.00832376341083, (14.0, 6.0): 0.00800153927359, (13.0, 6.0): 0.00797056180433, (18.0, 6.0): 0.00673962563947, (17.0, 22.0): 0.00778704076598, (15.0, 7.0): 0.00804873868224, (18.0, 21.0): 0.00760326984723, (8.0, 3.0): 0.00519155781308, (10.0, 10.0): 0.00843223130078, (11.0, 3.0): 0.00670293967767, (12.0, 4.0): 0.00822004280752, (15.0, 9.0): 0.00819456281138, (14.0, 3.0): 0.00663408285767, (13.0, 9.0): 0.00806699642283, (12.0, 8.0): 0.0080020336962, (18.0, 11.0): 0.00750814743849, (18.0, 22.0): 0.0102627289984, (9.0, 8.0): 0.00835317468819, (14.0, 9.0): 0.00809771612503, (12.0, 9.0): 0.00810210611589, (17.0, 15.0): 0.00759589700496, (21.0, 20.0): 0.00523087839571, (18.0, 12.0): 0.00613333209375, (15.0, 11.0): 0.00673037759307, (8.0, 10.0): 0.00688588512745, (9.0, 11.0): 0.00688129219295, (12.0, 3.0): 0.00663415297293, (17.0, 5.0): 0.00844294710942, (16.0, 11.0): 0.00689516572578, (14.0, 10.0): 0.00821609786836, (17.0, 10.0): 0.0087243390923, (15.0, 3.0): 0.00670274328237, (18.0, 17.0): 0.00749684864804, (8.0, 7.0): 0.00671601503027, (9.0, 6.0): 0.00835320642738, (11.0, 7.0): 0.00805540746255, (10.0, 5.0): 0.0083237940389, (16.0, 5.0): 0.00832085856214, (20.0, 24.0): 0.00812297566283, (19.0, 16.0): 0.00764945428736, (16.0, 8.0): 0.00822386298073, (14.0, 7.0): 0.00795952478681, (13.0, 5.0): 0.0080723506132, (18.0, 20.0): 0.0101033551058, (18.0, 7.0): 0.00671762373033, (15.0, 6.0): 0.00809124624595, (18.0, 18.0): 0.0100473838981, (8.0, 4.0): 0.00688592066968, (10.0, 11.0): 0.0067957170372, (13.0, 8.0): 0.00796745350674, (10.0, 6.0): 0.00822531883783, (15.0, 22.0): 0.00528239659282, (12.0, 5.0): 0.00810493920317, (17.0, 3.0): 0.00688080720827, (15.0, 8.0): 0.00808774649286, (21.0, 16.0): 0.00521618070235, (18.0, 8.0): 0.0067711351484, (15.0, 5.0): 0.00819421038996, (18.0, 23.0): 0.00776507234863, (16.0, 15.0): 0.00775786974702, (12.0, 10.0): 0.00821627408339, (15.0, 15.0): 0.0052194335521, (13.0, 11.0): 0.00660518743544, (18.0, 13.0): 0.0065881981014, (18.0, 24.0): 0.00787880007259, (8.0, 11.0): 0.0051915104841, (9.0, 10.0): 0.00854807258787, (19.0, 20.0): 0.00768469155754, (17.0, 4.0): 0.00854649562044, (14.0, 11.0): 0.00663576399114, (18.0, 3.0): 0.0051908653542, (17.0, 9.0): 0.00851494698949, (18.0, 14.0): 0.00699850363487, (8.0, 8.0): 0.00674369216589, (9.0, 5.0): 0.00844674807451, (11.0, 6.0): 0.00809528792319, }, ]
+16 Stop [{(16.0, 6.0): 0.00823156506646, (11.0, 11.0): 0.00669353839869, (17.0, 7.0): 0.00832049480235, (16.0, 9.0): 0.00835595857465, (14.0, 4.0): 0.00822266034438, (13.0, 4.0): 0.00819234000395, (20.0, 20.0): 0.00777449903796, (18.0, 4.0): 0.00686295985509, (18.0, 19.0): 0.00754478842569, (8.0, 5.0): 0.0067998944754, (10.0, 8.0): 0.00823656144981, (11.0, 5.0): 0.00820589576511, (10.0, 7.0): 0.00820158920718, (16.0, 3.0): 0.0067811921327, (12.0, 6.0): 0.0080275102194, (16.0, 22.0): 0.00786288129939, (13.0, 7.0): 0.00795807407305, (18.0, 9.0): 0.00690974404223, (15.0, 4.0): 0.00830657156797, (1, 1): 0.00763358778626, (15.0, 18.0): 0.0051985429293, (9.0, 3.0): 0.00685961527093, (19.0, 24.0): 0.00800448768031, (12.0, 11.0): 0.0066276036834, (13.0, 10.0): 0.00818755775721, (18.0, 10.0): 0.00713587553531, (17.0, 18.0): 0.00765322854497, (9.0, 9.0): 0.00843741010343, (16.0, 18.0): 0.00775009738531, (11.0, 8.0): 0.00811445273531, (14.0, 8.0): 0.0080218719318, (21.0, 24.0): 0.00543260675386, (20.0, 16.0): 0.00774750181094, (17.0, 8.0): 0.00837641797957, (18.0, 15.0): 0.00982477238282, (8.0, 9.0): 0.00679986417617, (9.0, 4.0): 0.00852740191099, (10.0, 3.0): 0.00678174398037, (16.0, 7.0): 0.00819661461343, (11.0, 10.0): 0.00830556923287, (17.0, 6.0): 0.0083492071643, (16.0, 10.0): 0.0085026959504, (14.0, 5.0): 0.00811840492526, (13.0, 3.0): 0.00660696227243, (18.0, 5.0): 0.00679686811135, (17.0, 11.0): 0.00713070609546, (18.0, 16.0): 0.0100087398147, (8.0, 6.0): 0.00673870973612, (10.0, 9.0): 0.00832448535313, (9.0, 7.0): 0.00832069000791, (11.0, 4.0): 0.00830739297391, (10.0, 4.0): 0.00842193210427, (16.0, 4.0): 0.00842053618066, (12.0, 7.0): 0.00799075694402, (11.0, 9.0): 0.00820459973377, (15.0, 10.0): 0.00832967696031, (14.0, 6.0): 0.00802540128701, (13.0, 6.0): 0.00799550927602, (18.0, 6.0): 0.00673604756756, (17.0, 22.0): 0.00778736525258, (15.0, 7.0): 0.00807325105139, (18.0, 21.0): 0.00762594430846, (8.0, 3.0): 0.0051723687063, (10.0, 10.0): 0.00842123796394, (11.0, 3.0): 0.00669524359833, (12.0, 4.0): 0.00822301717483, (15.0, 9.0): 0.00820984404242, (14.0, 3.0): 0.00663047392887, (13.0, 9.0): 0.00808324165753, (12.0, 8.0): 0.00802591821426, (18.0, 11.0): 0.0074926117623, (18.0, 22.0): 0.0102841432369, (9.0, 8.0): 0.00835408347538, (14.0, 9.0): 0.00811445839503, (12.0, 9.0): 0.00811646287132, (17.0, 15.0): 0.00757663450436, (21.0, 20.0): 0.00521293518545, (18.0, 12.0): 0.00611754692467, (15.0, 11.0): 0.00673007950966, (8.0, 10.0): 0.00686472557692, (9.0, 11.0): 0.00685937031981, (12.0, 3.0): 0.00663059111298, (17.0, 5.0): 0.00843379548351, (16.0, 11.0): 0.00689159355957, (14.0, 10.0): 0.00822284370207, (17.0, 10.0): 0.00871918583171, (15.0, 3.0): 0.00669494704891, (18.0, 17.0): 0.00751205543971, (8.0, 7.0): 0.00671400912521, (9.0, 6.0): 0.00835413699411, (11.0, 7.0): 0.00807899064853, (10.0, 5.0): 0.00832493307973, (16.0, 5.0): 0.00832185547605, (20.0, 24.0): 0.00810316918903, (19.0, 16.0): 0.0076406713756, (16.0, 8.0): 0.00824071313985, (14.0, 7.0): 0.00798726057705, (13.0, 5.0): 0.00808799111497, (18.0, 20.0): 0.0101289295861, (18.0, 7.0): 0.00671946316707, (15.0, 6.0): 0.00811107435185, (18.0, 18.0): 0.0100694536546, (8.0, 4.0): 0.00686478471157, (10.0, 11.0): 0.00678102878454, (13.0, 8.0): 0.00799259675368, (10.0, 6.0): 0.00823677346635, (15.0, 22.0): 0.00526720104406, (12.0, 5.0): 0.00811937211212, (17.0, 3.0): 0.00685876905735, (15.0, 8.0): 0.00811036594295, (21.0, 16.0): 0.00519768371515, (18.0, 8.0): 0.00677354485232, (15.0, 5.0): 0.00820385073859, (18.0, 23.0): 0.00778030639001, (16.0, 15.0): 0.00772763902671, (12.0, 10.0): 0.00821934218583, (15.0, 15.0): 0.00519567335839, (13.0, 11.0): 0.00660434687109, (18.0, 13.0): 0.00657334461001, (18.0, 24.0): 0.00788518657557, (8.0, 11.0): 0.0051722978248, (9.0, 10.0): 0.00852718867788, (19.0, 20.0): 0.00768489861655, (17.0, 4.0): 0.0085254690943, (14.0, 11.0): 0.00663605182859, (18.0, 3.0): 0.00517154416948, (17.0, 9.0): 0.0085182986234, (18.0, 14.0): 0.00698761283246, (8.0, 8.0): 0.00673869801946, (9.0, 5.0): 0.00843753498128, (11.0, 6.0): 0.00811510843205, }, ]
+17 Stop [{(16.0, 6.0): 0.00824206333442, (11.0, 11.0): 0.00668665656323, (17.0, 7.0): 0.0083284127037, (16.0, 9.0): 0.00836550206614, (14.0, 4.0): 0.00822561385053, (13.0, 4.0): 0.00819694229573, (20.0, 20.0): 0.00775960014423, (18.0, 4.0): 0.00684389886696, (18.0, 19.0): 0.0075645252854, (8.0, 5.0): 0.00678835422703, (10.0, 8.0): 0.00824623444416, (11.0, 5.0): 0.00821454047258, (10.0, 7.0): 0.00821492095596, (16.0, 3.0): 0.00676783429587, (12.0, 6.0): 0.00804965139672, (16.0, 22.0): 0.00785034937268, (13.0, 7.0): 0.00798483952476, (18.0, 9.0): 0.00690845083214, (15.0, 4.0): 0.00830446052855, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00518263725975, (9.0, 3.0): 0.00683994309712, (19.0, 24.0): 0.00799761448164, (12.0, 11.0): 0.00662524067546, (13.0, 10.0): 0.0081936837783, (18.0, 10.0): 0.0071283950013, (17.0, 18.0): 0.00765180539041, (9.0, 9.0): 0.00842859956601, (16.0, 18.0): 0.00773371344141, (11.0, 8.0): 0.00813210455634, (14.0, 8.0): 0.0080453107201, (21.0, 24.0): 0.00541735977327, (20.0, 16.0): 0.00772823291976, (17.0, 8.0): 0.00838457112211, (18.0, 15.0): 0.00981312716165, (8.0, 9.0): 0.00678830396382, (9.0, 4.0): 0.00850847379493, (10.0, 3.0): 0.00676853713326, (16.0, 7.0): 0.0082125277347, (11.0, 10.0): 0.00830353442295, (17.0, 6.0): 0.00835102439522, (16.0, 10.0): 0.00850440185331, (14.0, 5.0): 0.00813166168204, (13.0, 3.0): 0.00660547482936, (18.0, 5.0): 0.0067857279802, (17.0, 11.0): 0.00712256502067, (18.0, 16.0): 0.0100092869878, (8.0, 6.0): 0.006733980733, (10.0, 9.0): 0.00832485892082, (9.0, 7.0): 0.00832460221822, (11.0, 4.0): 0.00830545850321, (10.0, 4.0): 0.00841176800887, (16.0, 4.0): 0.00841018449697, (12.0, 7.0): 0.00801625001985, (11.0, 9.0): 0.00821311398528, (15.0, 10.0): 0.00833553200845, (14.0, 6.0): 0.00804753008344, (13.0, 6.0): 0.00801889719409, (18.0, 6.0): 0.00673293614436, (17.0, 22.0): 0.00778778465988, (15.0, 7.0): 0.00809571330734, (18.0, 21.0): 0.0076452496419, (8.0, 3.0): 0.00515522289773, (10.0, 10.0): 0.0084109534417, (11.0, 3.0): 0.0066883732677, (12.0, 4.0): 0.00822607223121, (15.0, 9.0): 0.00822406078307, (14.0, 3.0): 0.00662762788143, (13.0, 9.0): 0.00809886348696, (12.0, 8.0): 0.00804803750372, (18.0, 11.0): 0.00747898065649, (18.0, 22.0): 0.0103022411262, (9.0, 8.0): 0.00835442351217, (14.0, 9.0): 0.00813045194577, (12.0, 9.0): 0.00812991293254, (17.0, 15.0): 0.00755761760606, (21.0, 20.0): 0.00519796727204, (18.0, 12.0): 0.0061034501188, (15.0, 11.0): 0.00673036661652, (8.0, 10.0): 0.00684568444878, (9.0, 11.0): 0.0068396367866, (12.0, 3.0): 0.0066278026809, (17.0, 5.0): 0.00842528247147, (16.0, 11.0): 0.00688863398125, (14.0, 10.0): 0.00822992032007, (17.0, 10.0): 0.00871468148879, (15.0, 3.0): 0.00668796759121, (18.0, 17.0): 0.00752356684722, (8.0, 7.0): 0.00671199222178, (9.0, 6.0): 0.00835450452396, (11.0, 7.0): 0.00810017959342, (10.0, 5.0): 0.00832541387935, (16.0, 5.0): 0.00832232058905, (20.0, 24.0): 0.00808552233337, (19.0, 16.0): 0.00763157601585, (16.0, 8.0): 0.00825601405009, (14.0, 7.0): 0.00801317178406, (13.0, 5.0): 0.00810272348646, (18.0, 20.0): 0.0101507761801, (18.0, 7.0): 0.00672136285721, (15.0, 6.0): 0.00812902849906, (18.0, 18.0): 0.0100873875504, (8.0, 4.0): 0.00684577308104, (10.0, 11.0): 0.00676773196855, (13.0, 8.0): 0.00801634052606, (10.0, 6.0): 0.00824650823588, (15.0, 22.0): 0.00525456095516, (12.0, 5.0): 0.00813275727729, (17.0, 3.0): 0.00683893217286, (15.0, 8.0): 0.00813120922168, (21.0, 16.0): 0.00518134246122, (18.0, 8.0): 0.00677597161132, (15.0, 5.0): 0.00821235141194, (18.0, 23.0): 0.00779286679775, (16.0, 15.0): 0.00769926118955, (12.0, 10.0): 0.0082226873303, (15.0, 15.0): 0.00517371635476, (13.0, 11.0): 0.00660451214721, (18.0, 13.0): 0.00655950145571, (18.0, 24.0): 0.00788999354863, (8.0, 11.0): 0.00515512324912, (9.0, 10.0): 0.00850819132323, (19.0, 20.0): 0.00768536494803, (17.0, 4.0): 0.0085063923798, (14.0, 11.0): 0.00663718829275, (18.0, 3.0): 0.0051542802846, (17.0, 9.0): 0.00852140821242, (18.0, 14.0): 0.00697651224319, (8.0, 8.0): 0.00673395952529, (9.0, 5.0): 0.00842877501207, (11.0, 6.0): 0.00813285570629, }, ]
+18 Stop [{(16.0, 6.0): 0.00825139291049, (11.0, 11.0): 0.0066806141864, (17.0, 7.0): 0.00833564790545, (16.0, 9.0): 0.00837427739301, (14.0, 4.0): 0.00822864264173, (13.0, 4.0): 0.00820163908013, (20.0, 20.0): 0.00774730533344, (18.0, 4.0): 0.00682677861595, (18.0, 19.0): 0.0075810493611, (8.0, 5.0): 0.00677778201268, (10.0, 8.0): 0.00825450847789, (11.0, 5.0): 0.00822220516774, (10.0, 7.0): 0.00822648908953, (16.0, 3.0): 0.00675572041438, (12.0, 6.0): 0.00807008231885, (16.0, 22.0): 0.00783999182177, (13.0, 7.0): 0.00800989980977, (18.0, 9.0): 0.00690748600368, (15.0, 4.0): 0.0083025139554, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00516922311035, (9.0, 3.0): 0.00682222244916, (19.0, 24.0): 0.00799104345455, (12.0, 11.0): 0.00662363981253, (13.0, 10.0): 0.00820015901993, (18.0, 10.0): 0.00712189292024, (17.0, 18.0): 0.00765035316488, (9.0, 9.0): 0.0084202906554, (16.0, 18.0): 0.00771982490715, (11.0, 8.0): 0.00814793401658, (14.0, 8.0): 0.00806729683954, (21.0, 24.0): 0.00540385399776, (20.0, 16.0): 0.00771060754248, (17.0, 8.0): 0.00839207412049, (18.0, 15.0): 0.00980031348712, (8.0, 9.0): 0.00677770689767, (9.0, 4.0): 0.00849123240772, (10.0, 3.0): 0.00675656697629, (16.0, 7.0): 0.00822694622605, (11.0, 10.0): 0.00830172197685, (17.0, 6.0): 0.00835259061705, (16.0, 10.0): 0.00850618197865, (14.0, 5.0): 0.00814397610288, (13.0, 3.0): 0.00660461480707, (18.0, 5.0): 0.00677569724217, (17.0, 11.0): 0.00711548121236, (18.0, 16.0): 0.0100073178251, (8.0, 6.0): 0.00672948270025, (10.0, 9.0): 0.00832475207159, (9.0, 7.0): 0.00832768829751, (11.0, 4.0): 0.0083036611601, (10.0, 4.0): 0.00840235712059, (16.0, 4.0): 0.00840063017284, (12.0, 7.0): 0.00803979160769, (11.0, 9.0): 0.00822070496359, (15.0, 10.0): 0.00834137464711, (14.0, 6.0): 0.00806805784854, (13.0, 6.0): 0.0080407283371, (18.0, 6.0): 0.00673021162449, (17.0, 22.0): 0.00778827162575, (15.0, 7.0): 0.00811633010937, (18.0, 21.0): 0.00766167087388, (8.0, 3.0): 0.00513983667712, (10.0, 10.0): 0.00840144061388, (11.0, 3.0): 0.00668226997111, (12.0, 4.0): 0.00822919673171, (15.0, 9.0): 0.00823735120502, (14.0, 3.0): 0.0066253903456, (13.0, 9.0): 0.00811385053393, (12.0, 8.0): 0.0080685291077, (18.0, 11.0): 0.00746696854255, (18.0, 22.0): 0.0103175273147, (9.0, 8.0): 0.00835426182943, (14.0, 9.0): 0.00814572145119, (12.0, 9.0): 0.00814252304776, (17.0, 15.0): 0.00753890805562, (21.0, 20.0): 0.00518551701743, (18.0, 12.0): 0.00609072902229, (15.0, 11.0): 0.00673115362432, (8.0, 10.0): 0.00682850978417, (9.0, 11.0): 0.00682185486981, (12.0, 3.0): 0.00662562714073, (17.0, 5.0): 0.00841743596216, (16.0, 11.0): 0.00688627177527, (14.0, 10.0): 0.00823721468371, (17.0, 10.0): 0.0087108383164, (15.0, 3.0): 0.00668174954784, (18.0, 17.0): 0.0075320242503, (8.0, 7.0): 0.00670990356366, (9.0, 6.0): 0.00835437318128, (11.0, 7.0): 0.00811926216637, (10.0, 5.0): 0.00832540112175, (16.0, 5.0): 0.00832244046077, (20.0, 24.0): 0.00806972549164, (19.0, 16.0): 0.00762225805882, (16.0, 8.0): 0.00826996483894, (14.0, 7.0): 0.00803731308394, (13.0, 5.0): 0.00811659638712, (18.0, 20.0): 0.0101694073368, (18.0, 7.0): 0.00672325019396, (15.0, 6.0): 0.00814533732724, (18.0, 18.0): 0.0101018127286, (8.0, 4.0): 0.00682863421858, (10.0, 11.0): 0.00675569701793, (13.0, 8.0): 0.00803867835232, (10.0, 6.0): 0.00825484066029, (15.0, 22.0): 0.00524406360181, (12.0, 5.0): 0.00814514897285, (17.0, 3.0): 0.00682106352134, (15.0, 8.0): 0.00815046161646, (21.0, 16.0): 0.00516674887053, (18.0, 8.0): 0.00677836054959, (15.0, 5.0): 0.00821996454213, (18.0, 23.0): 0.00780318039702, (16.0, 15.0): 0.00767248444259, (12.0, 10.0): 0.00822627386168, (15.0, 15.0): 0.0051532785739, (13.0, 11.0): 0.00660547203452, (18.0, 13.0): 0.00654648793924, (18.0, 24.0): 0.00789349160934, (8.0, 11.0): 0.00513970472522, (9.0, 10.0): 0.00849087917503, (19.0, 20.0): 0.00768601574244, (17.0, 4.0): 0.0084890796296, (14.0, 11.0): 0.00663900082813, (18.0, 3.0): 0.00513880118816, (17.0, 9.0): 0.00852434528593, (18.0, 14.0): 0.00696528635671, (8.0, 8.0): 0.00672944863016, (9.0, 5.0): 0.00842052199882, (11.0, 6.0): 0.00814874708098, }, ]
+19 Stop [{(16.0, 6.0): 0.00825974150832, (11.0, 11.0): 0.00667533214959, (17.0, 7.0): 0.0083422643223, (16.0, 9.0): 0.00838242414031, (14.0, 4.0): 0.00823170194243, (13.0, 4.0): 0.0082063686699, (20.0, 20.0): 0.00773719886734, (18.0, 4.0): 0.00681136861984, (18.0, 19.0): 0.00759482147006, (8.0, 5.0): 0.00676807913264, (10.0, 8.0): 0.008261589097, (11.0, 5.0): 0.00822903270068, (10.0, 7.0): 0.00823655773832, (16.0, 3.0): 0.00674475940546, (12.0, 6.0): 0.00808889966349, (16.0, 22.0): 0.00783145295007, (13.0, 7.0): 0.00803328223816, (18.0, 9.0): 0.00690680392556, (15.0, 4.0): 0.00830078764938, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00515788652422, (9.0, 3.0): 0.00680622273028, (19.0, 24.0): 0.00798475351851, (12.0, 11.0): 0.0066226862807, (13.0, 10.0): 0.00820686762848, (18.0, 10.0): 0.0071162545299, (17.0, 18.0): 0.00764884587283, (9.0, 9.0): 0.00841246347071, (16.0, 18.0): 0.00770800424585, (11.0, 8.0): 0.00816218774643, (14.0, 8.0): 0.00808789426869, (21.0, 24.0): 0.00539183549609, (20.0, 16.0): 0.0076943296357, (17.0, 8.0): 0.00839899656756, (18.0, 15.0): 0.00978663929882, (8.0, 9.0): 0.00676797445908, (9.0, 4.0): 0.00847553647236, (10.0, 3.0): 0.00674573627326, (16.0, 7.0): 0.00824005639806, (11.0, 10.0): 0.0083001818298, (17.0, 6.0): 0.00835396638515, (16.0, 10.0): 0.00850810241085, (14.0, 5.0): 0.00815544750448, (13.0, 3.0): 0.00660423588938, (18.0, 5.0): 0.00676665906309, (17.0, 11.0): 0.00710934804583, (18.0, 16.0): 0.0100033352644, (8.0, 6.0): 0.0067251667054, (10.0, 9.0): 0.00832433935647, (9.0, 7.0): 0.00833003837046, (11.0, 4.0): 0.0083020515288, (10.0, 4.0): 0.0083936721061, (16.0, 4.0): 0.00839186294732, (12.0, 7.0): 0.00806151300208, (11.0, 9.0): 0.00822752721527, (15.0, 10.0): 0.00834721290898, (14.0, 6.0): 0.00808708253994, (13.0, 6.0): 0.00806107294027, (18.0, 6.0): 0.00672780788856, (17.0, 22.0): 0.00778880297785, (15.0, 7.0): 0.00813527767261, (18.0, 21.0): 0.00767562395418, (8.0, 3.0): 0.00512599305931, (10.0, 10.0): 0.00839268302195, (11.0, 3.0): 0.00667684825405, (12.0, 4.0): 0.00823233597414, (15.0, 9.0): 0.00824983726256, (14.0, 3.0): 0.00662366720347, (13.0, 9.0): 0.00812818648103, (12.0, 8.0): 0.00808749122641, (18.0, 11.0): 0.00745632867622, (18.0, 22.0): 0.0103304227942, (9.0, 8.0): 0.00835371200958, (14.0, 9.0): 0.00816028694268, (12.0, 9.0): 0.00815437630293, (17.0, 15.0): 0.00752054253785, (21.0, 20.0): 0.00517519361986, (18.0, 12.0): 0.00607914778948, (15.0, 11.0): 0.00673238148635, (8.0, 10.0): 0.00681296491387, (9.0, 11.0): 0.00680579871535, (12.0, 3.0): 0.00662396732607, (17.0, 5.0): 0.00841023364446, (16.0, 11.0): 0.00688446304872, (14.0, 10.0): 0.00824464416742, (17.0, 10.0): 0.00870761664935, (15.0, 3.0): 0.00667621786803, (18.0, 17.0): 0.00753795738852, (8.0, 7.0): 0.00670774638302, (9.0, 6.0): 0.00835385550264, (11.0, 7.0): 0.00813644479223, (10.0, 5.0): 0.00832506521384, (16.0, 5.0): 0.00832237280968, (20.0, 24.0): 0.00805551664761, (19.0, 16.0): 0.0076127846567, (16.0, 8.0): 0.00828274483899, (14.0, 7.0): 0.00805977953823, (13.0, 5.0): 0.00812961777602, (18.0, 20.0): 0.0101852638267, (18.0, 7.0): 0.0067250851731, (15.0, 6.0): 0.00816021654755, (18.0, 18.0): 0.0101132621076, (8.0, 4.0): 0.00681312943173, (10.0, 11.0): 0.00674482964131, (13.0, 8.0): 0.00805965092865, (10.0, 6.0): 0.00826197022676, (15.0, 22.0): 0.00523536240816, (12.0, 5.0): 0.00815664591566, (17.0, 3.0): 0.00680494563924, (15.0, 8.0): 0.00816828092187, (21.0, 16.0): 0.00515357694943, (18.0, 8.0): 0.0067806890109, (15.0, 5.0): 0.00822684647768, (18.0, 23.0): 0.0078116058308, (16.0, 15.0): 0.00764710345302, (12.0, 10.0): 0.00823004553438, (15.0, 15.0): 0.00513413410114, (13.0, 11.0): 0.00660705997278, (18.0, 13.0): 0.00653416777275, (18.0, 24.0): 0.00789590515364, (8.0, 11.0): 0.0051258260719, (9.0, 10.0): 0.00847511325236, (19.0, 20.0): 0.00768679219283, (17.0, 4.0): 0.00847338968725, (14.0, 11.0): 0.00664134955848, (18.0, 3.0): 0.00512489426371, (17.0, 9.0): 0.00852717852408, (18.0, 14.0): 0.0069540031371, (8.0, 8.0): 0.00672511713876, (9.0, 5.0): 0.00841275124508, (11.0, 6.0): 0.00816302747885, }, ]
+20 Stop [{(16.0, 6.0): 0.00826727072975, (11.0, 11.0): 0.00667074838386, (17.0, 7.0): 0.00834832802789, (16.0, 9.0): 0.00839005743536, (14.0, 4.0): 0.00823477795411, (13.0, 4.0): 0.00821106384484, (20.0, 20.0): 0.00772892716332, (18.0, 4.0): 0.00679748294608, (18.0, 19.0): 0.00760623864025, (8.0, 5.0): 0.00675914406646, (10.0, 8.0): 0.00826767718956, (11.0, 5.0): 0.00823516456757, (10.0, 7.0): 0.00824532004496, (16.0, 3.0): 0.00673485331765, (12.0, 6.0): 0.00810623180007, (16.0, 22.0): 0.00782443318006, (13.0, 7.0): 0.00805505972948, (18.0, 9.0): 0.00690637257141, (15.0, 4.0): 0.00829929427037, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00514827801073, (9.0, 3.0): 0.00679176139846, (19.0, 24.0): 0.00797872510658, (12.0, 11.0): 0.00662227870764, (13.0, 10.0): 0.00821371375546, (18.0, 10.0): 0.00711137011279, (17.0, 18.0): 0.00764726556646, (9.0, 9.0): 0.00840511923259, (16.0, 18.0): 0.00769789330167, (11.0, 8.0): 0.00817504801547, (14.0, 8.0): 0.00810717852002, (21.0, 24.0): 0.00538108996392, (20.0, 16.0): 0.00767915990551, (17.0, 8.0): 0.00840540910331, (18.0, 15.0): 0.00977234219912, (8.0, 9.0): 0.00675900682207, (9.0, 4.0): 0.00846123000521, (10.0, 3.0): 0.00673593623562, (16.0, 7.0): 0.00825201694806, (11.0, 10.0): 0.00829892055768, (17.0, 6.0): 0.00835519314419, (16.0, 10.0): 0.00851018698408, (14.0, 5.0): 0.00816613924811, (13.0, 3.0): 0.00660424133871, (18.0, 5.0): 0.00675850562176, (17.0, 11.0): 0.00710405827256, (18.0, 16.0): 0.00999774098922, (8.0, 6.0): 0.00672101915579, (10.0, 9.0): 0.00832372043228, (9.0, 7.0): 0.00833176931995, (11.0, 4.0): 0.00830063052546, (10.0, 4.0): 0.00838569913253, (16.0, 4.0): 0.00838387247009, (12.0, 7.0): 0.00808152618448, (11.0, 9.0): 0.00823372249018, (15.0, 10.0): 0.00835305472155, (14.0, 6.0): 0.0081047198141, (13.0, 6.0): 0.00807999103158, (18.0, 6.0): 0.00672568130822, (17.0, 22.0): 0.00778935767453, (15.0, 7.0): 0.00815272221566, (18.0, 21.0): 0.00768746297329, (8.0, 3.0): 0.0051135023936, (10.0, 10.0): 0.00838467090244, (11.0, 3.0): 0.00667204826911, (12.0, 4.0): 0.00823547224922, (15.0, 9.0): 0.00826160843528, (14.0, 3.0): 0.00662237062871, (13.0, 9.0): 0.00814187365675, (12.0, 8.0): 0.0081050438413, (18.0, 11.0): 0.00744686540948, (18.0, 22.0): 0.0103412832862, (9.0, 8.0): 0.00835283987424, (14.0, 9.0): 0.00817416982447, (12.0, 9.0): 0.008165525352, (17.0, 15.0): 0.00750254182166, (21.0, 20.0): 0.00516666309905, (18.0, 12.0): 0.0060685206898, (15.0, 11.0): 0.00673399110519, (8.0, 10.0): 0.00679886618434, (9.0, 11.0): 0.00679128843027, (12.0, 3.0): 0.0066227300622, (17.0, 5.0): 0.00840365727108, (16.0, 11.0): 0.0068831686274, (14.0, 10.0): 0.00825213971913, (17.0, 10.0): 0.00870498016079, (15.0, 3.0): 0.00667131864912, (18.0, 17.0): 0.00754180180584, (8.0, 7.0): 0.00670551523089, (9.0, 6.0): 0.00835301474534, (11.0, 7.0): 0.00815194615158, (10.0, 5.0): 0.0083244982985, (16.0, 5.0): 0.00832221147749, (20.0, 24.0): 0.00804267447009, (19.0, 16.0): 0.0076032052469, (16.0, 8.0): 0.00829450057336, (14.0, 7.0): 0.00808066325153, (13.0, 5.0): 0.00814183056127, (18.0, 20.0): 0.0101987284957, (18.0, 7.0): 0.0067268483826, (15.0, 6.0): 0.00817383294922, (18.0, 18.0): 0.0101221904374, (8.0, 4.0): 0.00679907378867, (10.0, 11.0): 0.00673502673095, (13.0, 8.0): 0.00807930102859, (10.0, 6.0): 0.00826809523208, (15.0, 22.0): 0.00522816552077, (12.0, 5.0): 0.008167306406, (17.0, 3.0): 0.00679040228653, (15.0, 8.0): 0.00818480699294, (21.0, 16.0): 0.00514156501995, (18.0, 8.0): 0.0067829438409, (15.0, 5.0): 0.00823313419775, (18.0, 23.0): 0.00781844269337, (16.0, 15.0): 0.00762294904753, (12.0, 10.0): 0.00823396582929, (15.0, 15.0): 0.00511610153491, (13.0, 11.0): 0.00660914747869, (18.0, 13.0): 0.00652243956644, (18.0, 24.0): 0.00789742150098, (8.0, 11.0): 0.00511329959794, (9.0, 10.0): 0.00846074285631, (19.0, 20.0): 0.00768764631006, (17.0, 4.0): 0.00845917582057, (14.0, 11.0): 0.00664412658789, (18.0, 3.0): 0.00511237665267, (17.0, 9.0): 0.00852994415765, (18.0, 14.0): 0.00694271679465, (8.0, 8.0): 0.00672095189713, (9.0, 5.0): 0.00840546146994, (11.0, 6.0): 0.0081758749724, }, ]
+21 Stop [{(16.0, 6.0): 0.00827410504974, (11.0, 11.0): 0.00666679756715, (17.0, 7.0): 0.00835390154034, (16.0, 9.0): 0.00839725951714, (14.0, 4.0): 0.00823784772066, (13.0, 4.0): 0.00821568925656, (20.0, 20.0): 0.00772218937398, (18.0, 4.0): 0.00678495785697, (18.0, 19.0): 0.00761564261335, (8.0, 5.0): 0.00675090154672, (10.0, 8.0): 0.0082729211113, (11.0, 5.0): 0.00824069495398, (10.0, 7.0): 0.00825296158763, (16.0, 3.0): 0.00672591805734, (12.0, 6.0): 0.0081221860789, (16.0, 22.0): 0.00781867971192, (13.0, 7.0): 0.00807530824513, (18.0, 9.0): 0.00690616046281, (15.0, 4.0): 0.00829804544074, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00514010343926, (9.0, 3.0): 0.00677867120743, (19.0, 24.0): 0.00797294035922, (12.0, 11.0): 0.00662233680841, (13.0, 10.0): 0.0082206254618, (18.0, 10.0): 0.00710714805558, (17.0, 18.0): 0.00764560056539, (9.0, 9.0): 0.0083982361846, (16.0, 18.0): 0.00768919196141, (11.0, 8.0): 0.00818668753762, (14.0, 8.0): 0.00812522392351, (21.0, 24.0): 0.00537143647199, (20.0, 16.0): 0.00766490422744, (17.0, 8.0): 0.00841137233267, (18.0, 15.0): 0.00975760700252, (8.0, 9.0): 0.0067507300724, (9.0, 4.0): 0.00844818691832, (10.0, 3.0): 0.0067270763023, (16.0, 7.0): 0.00826296769894, (11.0, 10.0): 0.00829794305188, (17.0, 6.0): 0.00835631016164, (16.0, 10.0): 0.0085124480172, (14.0, 5.0): 0.00817612035507, (13.0, 3.0): 0.00660454827637, (18.0, 5.0): 0.00675114892323, (17.0, 11.0): 0.00709951910952, (18.0, 16.0): 0.00999085648133, (8.0, 6.0): 0.00671702256235, (10.0, 9.0): 0.00832298204941, (9.0, 7.0): 0.00833296760462, (11.0, 4.0): 0.00829940536223, (10.0, 4.0): 0.00837839565124, (16.0, 4.0): 0.00837662413712, (12.0, 7.0): 0.00809996154138, (11.0, 9.0): 0.00823938736952, (15.0, 10.0): 0.0083588957483, (14.0, 6.0): 0.00812106925891, (13.0, 6.0): 0.0080975665873, (18.0, 6.0): 0.00672379745698, (17.0, 22.0): 0.00778991777307, (15.0, 7.0): 0.00816880847148, (18.0, 21.0): 0.00769749060323, (8.0, 3.0): 0.00510220959465, (10.0, 10.0): 0.00837736763248, (11.0, 3.0): 0.00666780474682, (12.0, 4.0): 0.00823857712065, (15.0, 9.0): 0.00827273948192, (14.0, 3.0): 0.00662143824495, (13.0, 9.0): 0.00815491672346, (12.0, 8.0): 0.00812128888437, (18.0, 11.0): 0.00743841367864, (18.0, 22.0): 0.0103504086019, (9.0, 8.0): 0.00835171909755, (14.0, 9.0): 0.00818739403113, (12.0, 9.0): 0.00817602623391, (17.0, 15.0): 0.00748491583951, (21.0, 20.0): 0.00515964060396, (18.0, 12.0): 0.00605870310445, (15.0, 11.0): 0.00673593252443, (8.0, 10.0): 0.00678605002218, (9.0, 11.0): 0.00677816056088, (12.0, 3.0): 0.00662184936735, (17.0, 5.0): 0.00839767394811, (16.0, 11.0): 0.0068823418981, (14.0, 10.0): 0.0082596472511, (17.0, 10.0): 0.00870287935684, (15.0, 3.0): 0.00666699450294, (18.0, 17.0): 0.00754391679193, (8.0, 7.0): 0.00670322543494, (9.0, 6.0): 0.00835192294241, (11.0, 7.0): 0.00816594307378, (10.0, 5.0): 0.00832378374012, (16.0, 5.0): 0.00832202922923, (20.0, 24.0): 0.00803101150752, (19.0, 16.0): 0.00759355696478, (16.0, 8.0): 0.00830535821061, (14.0, 7.0): 0.00810006870616, (13.0, 5.0): 0.00815326621836, (18.0, 20.0): 0.0102101314318, (18.0, 7.0): 0.00672853398851, (15.0, 6.0): 0.0081863359813, (18.0, 18.0): 0.0101289829469, (8.0, 4.0): 0.00678630126269, (10.0, 11.0): 0.00672620006676, (13.0, 8.0): 0.00809769135523, (10.0, 6.0): 0.00827336065866, (15.0, 22.0): 0.00522222715374, (12.0, 5.0): 0.00817720111682, (17.0, 3.0): 0.00677727461605, (15.0, 8.0): 0.00820016334745, (21.0, 16.0): 0.00513050247848, (18.0, 8.0): 0.00678512301939, (15.0, 5.0): 0.00823892242859, (18.0, 23.0): 0.00782394221966, (16.0, 15.0): 0.00759988105718, (12.0, 10.0): 0.0082379947758, (15.0, 15.0): 0.0050990337833, (13.0, 11.0): 0.00661163094465, (18.0, 13.0): 0.00651122568363, (18.0, 24.0): 0.00789819643365, (8.0, 11.0): 0.00510197185297, (9.0, 10.0): 0.00844764525192, (19.0, 20.0): 0.00768853994838, (17.0, 4.0): 0.0084463124205, (14.0, 11.0): 0.00664724423677, (18.0, 3.0): 0.00510109685904, (17.0, 9.0): 0.00853267131427, (18.0, 14.0): 0.00693147100348, (8.0, 8.0): 0.00671693646237, (9.0, 5.0): 0.00839862692041, (11.0, 6.0): 0.00818746254474, }, ]
+22 Stop [{(16.0, 6.0): 0.00828034962417, (11.0, 11.0): 0.00666342222096, (17.0, 7.0): 0.00835904384384, (16.0, 9.0): 0.00840409530823, (14.0, 4.0): 0.00824090011585, (13.0, 4.0): 0.00822021313234, (20.0, 20.0): 0.0077167300761, (18.0, 4.0): 0.00677365479883, (18.0, 19.0): 0.00762332613244, (8.0, 5.0): 0.00674328172702, (10.0, 8.0): 0.0082774542767, (11.0, 5.0): 0.00824570954358, (10.0, 7.0): 0.0082596308072, (16.0, 3.0): 0.00671787162151, (12.0, 6.0): 0.00813687557383, (16.0, 22.0): 0.0078139794052, (13.0, 7.0): 0.00809411928704, (18.0, 9.0): 0.0069061421473, (15.0, 4.0): 0.00829703657116, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00513311570676, (9.0, 3.0): 0.00676681079265, (19.0, 24.0): 0.00796738276679, (12.0, 11.0): 0.00662279028521, (13.0, 10.0): 0.00822754457859, (18.0, 10.0): 0.00710350642062, (17.0, 18.0): 0.00764384324565, (9.0, 9.0): 0.0083917990348, (16.0, 18.0): 0.00768164922856, (11.0, 8.0): 0.00819724559532, (14.0, 8.0): 0.0081421082727, (21.0, 24.0): 0.00536272207183, (20.0, 16.0): 0.00765140496998, (17.0, 8.0): 0.00841694143443, (18.0, 15.0): 0.00974257815196, (8.0, 9.0): 0.00674307637616, (9.0, 4.0): 0.00843628501553, (10.0, 3.0): 0.00671906719439, (16.0, 7.0): 0.00827302819422, (11.0, 10.0): 0.00829723795772, (17.0, 6.0): 0.00835734750421, (16.0, 10.0): 0.00851488200242, (14.0, 5.0): 0.00818544519632, (13.0, 3.0): 0.00660509682348, (18.0, 5.0): 0.00674451084892, (17.0, 11.0): 0.00709564454293, (18.0, 16.0): 0.00998294045653, (8.0, 6.0): 0.00671317197449, (10.0, 9.0): 0.00832217886946, (9.0, 7.0): 0.00833372060518, (11.0, 4.0): 0.00829836580433, (10.0, 4.0): 0.00837172340996, (16.0, 4.0): 0.00837008175985, (12.0, 7.0): 0.00811693756471, (11.0, 9.0): 0.00824460524847, (15.0, 10.0): 0.00836472923081, (14.0, 6.0): 0.00813623217774, (13.0, 6.0): 0.00811387927772, (18.0, 6.0): 0.00672213212451, (17.0, 22.0): 0.00779046797881, (15.0, 7.0): 0.00818366884107, (18.0, 21.0): 0.00770596520951, (8.0, 3.0): 0.00509197964908, (10.0, 10.0): 0.00837073761383, (11.0, 3.0): 0.00666406367656, (12.0, 4.0): 0.00824163691309, (15.0, 9.0): 0.00828329042519, (14.0, 3.0): 0.0066208148002, (13.0, 9.0): 0.0081673307611, (12.0, 8.0): 0.0081363311105, (18.0, 11.0): 0.00743083791242, (18.0, 22.0): 0.0103580523491, (9.0, 8.0): 0.00835040291521, (14.0, 9.0): 0.00819998428222, (12.0, 9.0): 0.00818592279741, (17.0, 15.0): 0.00746766738286, (21.0, 20.0): 0.00515388342664, (18.0, 12.0): 0.00604957968235, (15.0, 11.0): 0.00673815881448, (8.0, 10.0): 0.00677438135835, (9.0, 11.0): 0.00676627649162, (12.0, 3.0): 0.00662126602177, (17.0, 5.0): 0.0083922523827, (16.0, 11.0): 0.00688193798645, (14.0, 10.0): 0.00826712355766, (17.0, 10.0): 0.00870126652894, (15.0, 3.0): 0.00666319678946, (18.0, 17.0): 0.00754459878769, (8.0, 7.0): 0.00670088963584, (9.0, 6.0): 0.00835063126581, (11.0, 7.0): 0.00817860325703, (10.0, 5.0): 0.00832297238488, (16.0, 5.0): 0.00832187095856, (20.0, 24.0): 0.00802036885824, (19.0, 16.0): 0.00758386785107, (16.0, 8.0): 0.00831542422136, (14.0, 7.0): 0.00811809572104, (13.0, 5.0): 0.00816396870682, (18.0, 20.0): 0.0102197572463, (18.0, 7.0): 0.00673014392429, (15.0, 6.0): 0.008197848238, (18.0, 18.0): 0.0101339657269, (8.0, 4.0): 0.00677467461757, (10.0, 11.0): 0.00671826307519, (13.0, 8.0): 0.00811488582634, (10.0, 6.0): 0.00827789829471, (15.0, 22.0): 0.00521734014751, (12.0, 5.0): 0.00818638509775, (17.0, 3.0): 0.00676542627213, (15.0, 8.0): 0.00821445868699, (21.0, 16.0): 0.00512021931505, (18.0, 8.0): 0.00678722883421, (15.0, 5.0): 0.00824429068699, (18.0, 23.0): 0.00782831503492, (16.0, 15.0): 0.00757778252388, (12.0, 10.0): 0.00824210210678, (15.0, 15.0): 0.00508281057738, (13.0, 11.0): 0.00661442808981, (18.0, 13.0): 0.00650046659719, (18.0, 24.0): 0.00789835967084, (8.0, 11.0): 0.00509170993009, (9.0, 10.0): 0.00843570245957, (19.0, 20.0): 0.00768944263207, (17.0, 4.0): 0.0084346802194, (14.0, 11.0): 0.00665063137668, (18.0, 3.0): 0.00509092373794, (17.0, 9.0): 0.00853537661989, (18.0, 14.0): 0.00692030064633, (8.0, 8.0): 0.00671306681194, (9.0, 5.0): 0.00839222949093, (11.0, 6.0): 0.00819792946201, }, ]
+23 Stop [{(16.0, 6.0): 0.00828608890383, (11.0, 11.0): 0.00666056648688, (17.0, 7.0): 0.00836380817641, (16.0, 9.0): 0.00841061371542, (14.0, 4.0): 0.00824392270318, (13.0, 4.0): 0.00822461797949, (20.0, 20.0): 0.00771233261605, (18.0, 4.0): 0.00676345203513, (18.0, 19.0): 0.00762953945411, (8.0, 5.0): 0.00673622797796, (10.0, 8.0): 0.00828138249278, (11.0, 5.0): 0.00825027245851, (10.0, 7.0): 0.00826546144816, (16.0, 3.0): 0.00671064002274, (12.0, 6.0): 0.0081504013952, (16.0, 22.0): 0.00781015253509, (13.0, 7.0): 0.00811158353537, (18.0, 9.0): 0.00690629467451, (15.0, 4.0): 0.00829626102413, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00512710759624, (9.0, 3.0): 0.00675605304956, (19.0, 24.0): 0.00796203709862, (12.0, 11.0): 0.00662358057035, (13.0, 10.0): 0.00823442722328, (18.0, 10.0): 0.00710037492587, (17.0, 18.0): 0.00764198892314, (9.0, 9.0): 0.00838578574985, (16.0, 18.0): 0.00767505534478, (11.0, 8.0): 0.0082068478976, (14.0, 8.0): 0.00815790655786, (21.0, 24.0): 0.005354817322, (20.0, 16.0): 0.00763853393121, (17.0, 8.0): 0.00842216443246, (18.0, 15.0): 0.00972736899519, (8.0, 9.0): 0.00673599094357, (9.0, 4.0): 0.00842541893584, (10.0, 3.0): 0.00671183009789, (16.0, 7.0): 0.00828230294493, (11.0, 10.0): 0.0082967921406, (17.0, 6.0): 0.00835833170211, (16.0, 10.0): 0.00851747911069, (14.0, 5.0): 0.00819416737674, (13.0, 3.0): 0.00660583703783, (18.0, 5.0): 0.0067385249196, (17.0, 11.0): 0.00709235841624, (18.0, 16.0): 0.00997420186504, (8.0, 6.0): 0.0067094620875, (10.0, 9.0): 0.00832135500865, (9.0, 7.0): 0.00833409952764, (11.0, 4.0): 0.00829750305333, (10.0, 4.0): 0.00836563612154, (16.0, 4.0): 0.00836420180717, (12.0, 7.0): 0.00813257335862, (11.0, 9.0): 0.00824943809368, (15.0, 10.0): 0.00837054474684, (14.0, 6.0): 0.00815030012216, (13.0, 6.0): 0.00812901500463, (18.0, 6.0): 0.00672066622527, (17.0, 22.0): 0.00779099554862, (15.0, 7.0): 0.00819741993626, (18.0, 21.0): 0.00771310746869, (8.0, 3.0): 0.00508269790225, (10.0, 10.0): 0.00836473714892, (11.0, 3.0): 0.00666077238405, (12.0, 4.0): 0.00824463669494, (15.0, 9.0): 0.00829331158669, (14.0, 3.0): 0.00662045712645, (13.0, 9.0): 0.00817913364913, (12.0, 8.0): 0.00815026457886, (18.0, 11.0): 0.00742402377978, (18.0, 22.0): 0.0103644291617, (9.0, 8.0): 0.00834894206936, (14.0, 9.0): 0.00821196745977, (12.0, 9.0): 0.00819525840485, (17.0, 15.0): 0.0074507945069, (21.0, 20.0): 0.00514918507202, (18.0, 12.0): 0.00604105823795, (15.0, 11.0): 0.00674062789057, (8.0, 10.0): 0.0067637415689, (9.0, 11.0): 0.00675551202698, (12.0, 3.0): 0.00662093401307, (17.0, 5.0): 0.0083873579252, (16.0, 11.0): 0.00688191173645, (14.0, 10.0): 0.00827453417403, (17.0, 10.0): 0.00870009277114, (15.0, 3.0): 0.00665987811702, (18.0, 17.0): 0.00754409280843, (8.0, 7.0): 0.0066985262266, (9.0, 6.0): 0.00834918892495, (11.0, 7.0): 0.00819006933725, (10.0, 5.0): 0.00832210662481, (16.0, 5.0): 0.00832176908245, (20.0, 24.0): 0.00801061157759, (19.0, 16.0): 0.00757415938782, (16.0, 8.0): 0.00832478956905, (14.0, 7.0): 0.00813484485992, (13.0, 5.0): 0.00817397828219, (18.0, 20.0): 0.0102278506362, (18.0, 7.0): 0.00673168498952, (15.0, 6.0): 0.00820847791359, (18.0, 18.0): 0.0101374141537, (8.0, 4.0): 0.00676407263895, (10.0, 11.0): 0.00671113796971, (13.0, 8.0): 0.00813095505154, (10.0, 6.0): 0.00828181244292, (15.0, 22.0): 0.00521332987549, (12.0, 5.0): 0.00819491516701, (17.0, 3.0): 0.0067547350966, (15.0, 8.0): 0.00822779008946, (21.0, 16.0): 0.00511057798085, (18.0, 8.0): 0.00678926701333, (15.0, 5.0): 0.0082492983302, (18.0, 23.0): 0.0078317379892, (16.0, 15.0): 0.0075565552576, (12.0, 10.0): 0.0082462590594, (15.0, 15.0): 0.00506733279665, (13.0, 11.0): 0.00661747135364, (18.0, 13.0): 0.00649011564196, (18.0, 24.0): 0.00789801915752, (8.0, 11.0): 0.00508240110585, (9.0, 10.0): 0.00842481228413, (19.0, 20.0): 0.00769033021429, (17.0, 4.0): 0.00842417314013, (14.0, 11.0): 0.00665422928178, (18.0, 3.0): 0.00508174484705, (17.0, 9.0): 0.00853807151512, (18.0, 14.0): 0.00690923361916, (8.0, 8.0): 0.00670933878903, (9.0, 5.0): 0.00838624406319, (11.0, 6.0): 0.00820740322623, }, ]
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+28 Stop [{(16.0, 6.0): 0.0083093228017, (11.0, 11.0): 0.00665243108263, (17.0, 7.0): 0.00838346105257, (16.0, 9.0): 0.0084395353925, (14.0, 4.0): 0.00825837182319, (13.0, 4.0): 0.008244566844, (20.0, 20.0): 0.00770075458869, (18.0, 4.0): 0.00672563927861, (18.0, 19.0): 0.00764500566671, (8.0, 5.0): 0.00670789111588, (10.0, 8.0): 0.0082946903069, (11.0, 5.0): 0.00826798127577, (10.0, 7.0): 0.00828547205306, (16.0, 3.0): 0.0066844600799, (12.0, 6.0): 0.00820374473138, (16.0, 22.0): 0.00779958014661, (13.0, 7.0): 0.00818185103991, (18.0, 9.0): 0.00690900928907, (15.0, 4.0): 0.00829541214975, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00510659202339, (9.0, 3.0): 0.00671532142558, (19.0, 24.0): 0.00793803096305, (12.0, 11.0): 0.00663101748761, (13.0, 10.0): 0.00826733422655, (18.0, 10.0): 0.00709046982912, (17.0, 18.0): 0.0076312144023, (9.0, 9.0): 0.00836137689572, (16.0, 18.0): 0.00765111498635, (11.0, 8.0): 0.00824382278365, (14.0, 8.0): 0.00822307416454, (21.0, 24.0): 0.00532412701379, (20.0, 16.0): 0.00758055665432, (17.0, 8.0): 0.00844438309289, (18.0, 15.0): 0.00965115856717, (8.0, 9.0): 0.00670759366976, (9.0, 4.0): 0.00838355936441, (10.0, 3.0): 0.00668487294502, (16.0, 7.0): 0.00831966414616, (11.0, 10.0): 0.00829778237136, (17.0, 6.0): 0.00836308254134, (16.0, 10.0): 0.00853231823777, (14.0, 5.0): 0.00823025929212, (13.0, 3.0): 0.00661129102275, (18.0, 5.0): 0.00671655017823, (17.0, 11.0): 0.00708259769427, (18.0, 16.0): 0.00992311523443, (8.0, 6.0): 0.00669299535928, (10.0, 9.0): 0.00831771640718, (9.0, 7.0): 0.00833237430182, (11.0, 4.0): 0.00829535043859, (10.0, 4.0): 0.00834248704725, (16.0, 4.0): 0.00834323098842, (12.0, 7.0): 0.00819425829789, (11.0, 9.0): 0.00826934705236, (15.0, 10.0): 0.00839895068113, (14.0, 6.0): 0.00820706782472, (13.0, 6.0): 0.00818982419382, (18.0, 6.0): 0.00671590323505, (17.0, 22.0): 0.00779299050811, (15.0, 7.0): 0.00825285386723, (18.0, 21.0): 0.00773454160327, (8.0, 3.0): 0.00504741478713, (10.0, 10.0): 0.00834270038629, (11.0, 3.0): 0.00664957674002, (12.0, 4.0): 0.00825850145885, (15.0, 9.0): 0.00833677532403, (14.0, 3.0): 0.00662152928163, (13.0, 9.0): 0.00822983749522, (12.0, 8.0): 0.00820622948934, (18.0, 11.0): 0.00739847656665, (18.0, 22.0): 0.0103827954451, (9.0, 8.0): 0.00834069575029, (14.0, 9.0): 0.00826373733991, (12.0, 9.0): 0.00823476710794, (17.0, 15.0): 0.00737183234833, (21.0, 20.0): 0.00513628650575, (18.0, 12.0): 0.00600527694154, (15.0, 11.0): 0.00675538851763, (8.0, 10.0): 0.00672282907849, (9.0, 11.0): 0.00671506899915, (12.0, 3.0): 0.00662185199792, (17.0, 5.0): 0.00836966929306, (16.0, 11.0): 0.00688603573782, (14.0, 10.0): 0.00830983386226, (17.0, 10.0): 0.00869929661376, (15.0, 3.0): 0.00664908502389, (18.0, 17.0): 0.00752974565398, (8.0, 7.0): 0.006686855173, (9.0, 6.0): 0.00834090214095, (11.0, 7.0): 0.00823351837381, (10.0, 5.0): 0.00831773483193, (16.0, 5.0): 0.00832257804435, (20.0, 24.0): 0.00797162961461, (19.0, 16.0): 0.0075258036408, (16.0, 8.0): 0.00836348435485, (14.0, 7.0): 0.00820258154658, (13.0, 5.0): 0.00821511228073, (18.0, 20.0): 0.0102517175657, (18.0, 7.0): 0.00673868929647, (15.0, 6.0): 0.00825124721726, (18.0, 18.0): 0.0101386126156, (8.0, 4.0): 0.00672320574078, (10.0, 11.0): 0.00668533870659, (13.0, 8.0): 0.00819683077531, (10.0, 6.0): 0.00829476270634, (15.0, 22.0): 0.00520201423336, (12.0, 5.0): 0.00822939842165, (17.0, 3.0): 0.00671523119854, (15.0, 8.0): 0.00828270511853, (21.0, 16.0): 0.00506875083934, (18.0, 8.0): 0.00679869491257, (15.0, 5.0): 0.00827035840918, (18.0, 23.0): 0.00783905453812, (16.0, 15.0): 0.00746097772565, (12.0, 10.0): 0.00826707866893, (15.0, 15.0): 0.00499866686588, (13.0, 11.0): 0.00663474778239, (18.0, 13.0): 0.00644340144226, (18.0, 24.0): 0.00789142804661, (8.0, 11.0): 0.00504712086769, (9.0, 10.0): 0.00838317423961, (19.0, 20.0): 0.00769400045957, (17.0, 4.0): 0.00838539623721, (14.0, 11.0): 0.0066739137823, (18.0, 3.0): 0.0050477039463, (17.0, 9.0): 0.00855151654796, (18.0, 14.0): 0.00685607114256, (8.0, 8.0): 0.00669283090078, (9.0, 5.0): 0.00836172438756, (11.0, 6.0): 0.00824325538906, }, ]
+29 Stop [{(16.0, 6.0): 0.00831317895016, (11.0, 11.0): 0.00665175329348, (17.0, 7.0): 0.00838679049071, (16.0, 9.0): 0.00844472597142, (14.0, 4.0): 0.00826110434222, (13.0, 4.0): 0.00824813323704, (20.0, 20.0): 0.00769972826896, (18.0, 4.0): 0.00672019459375, (18.0, 19.0): 0.00764591776755, (8.0, 5.0): 0.0067033679315, (10.0, 8.0): 0.00829647946022, (11.0, 5.0): 0.0082707440714, (10.0, 7.0): 0.00828816354839, (16.0, 3.0): 0.00668084027327, (12.0, 6.0): 0.00821209620676, (16.0, 22.0): 0.00779853066825, (13.0, 7.0): 0.0081930691707, (18.0, 9.0): 0.00690984681728, (15.0, 4.0): 0.00829574593008, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00510366767381, (9.0, 3.0): 0.00670923206124, (19.0, 24.0): 0.00793369620809, (12.0, 11.0): 0.00663296482194, (13.0, 10.0): 0.00827350379619, (18.0, 10.0): 0.00708934824396, (17.0, 18.0): 0.00762876295011, (9.0, 9.0): 0.008357491076, (16.0, 18.0): 0.00764740580791, (11.0, 8.0): 0.00824952160121, (14.0, 8.0): 0.00823378578897, (21.0, 24.0): 0.00531927337843, (20.0, 16.0): 0.00756982885138, (17.0, 8.0): 0.0084482427378, (18.0, 15.0): 0.00963620294736, (8.0, 9.0): 0.0067030887914, (9.0, 4.0): 0.00837718595143, (10.0, 3.0): 0.00668094018711, (16.0, 7.0): 0.0083257572445, (11.0, 10.0): 0.00829848946645, (17.0, 6.0): 0.00836408294649, (16.0, 10.0): 0.00853552911949, (14.0, 5.0): 0.00823623392599, (13.0, 3.0): 0.00661258144438, (18.0, 5.0): 0.00671345703158, (17.0, 11.0): 0.00708163682244, (18.0, 16.0): 0.00991208488199, (8.0, 6.0): 0.00669011584023, (10.0, 9.0): 0.00831716620969, (9.0, 7.0): 0.00833160264247, (11.0, 4.0): 0.0082952582291, (10.0, 4.0): 0.00833904457269, (16.0, 4.0): 0.00834043850392, (12.0, 7.0): 0.00820392038646, (11.0, 9.0): 0.0082726871445, (15.0, 10.0): 0.00840442275044, (14.0, 6.0): 0.0082161960149, (13.0, 6.0): 0.00819952001411, (18.0, 6.0): 0.0067154021857, (17.0, 22.0): 0.00779322241284, (15.0, 7.0): 0.00826181037915, (18.0, 21.0): 0.0077368087871, (8.0, 3.0): 0.0050421033873, (10.0, 10.0): 0.00833960935754, (11.0, 3.0): 0.00664814550846, (12.0, 4.0): 0.0082610264321, (15.0, 9.0): 0.00834434077122, (14.0, 3.0): 0.00662215069671, (13.0, 9.0): 0.00823850138899, (12.0, 8.0): 0.00821518169083, (18.0, 11.0): 0.00739464500302, (18.0, 22.0): 0.0103845610778, (9.0, 8.0): 0.00833903517614, (14.0, 9.0): 0.00827265163719, (12.0, 9.0): 0.00824145196276, (17.0, 15.0): 0.00735705966645, (21.0, 20.0): 0.0051350614491, (18.0, 12.0): 0.00599917860293, (15.0, 11.0): 0.00675862464566, (8.0, 10.0): 0.00671661415754, (9.0, 11.0): 0.00670911039692, (12.0, 3.0): 0.00662238023194, (17.0, 5.0): 0.00836728276775, (16.0, 11.0): 0.00688746913498, (14.0, 10.0): 0.00831644966755, (17.0, 10.0): 0.00869989316074, (15.0, 3.0): 0.00664785102631, (18.0, 17.0): 0.0075253471805, (8.0, 7.0): 0.00668464521863, (9.0, 6.0): 0.00833920154715, (11.0, 7.0): 0.00824006537949, (10.0, 5.0): 0.00831693804977, (16.0, 5.0): 0.00832303190734, (20.0, 24.0): 0.00796528369945, (19.0, 16.0): 0.00751623224031, (16.0, 8.0): 0.00836995442099, (14.0, 7.0): 0.0082134856886, (13.0, 5.0): 0.00822183220646, (18.0, 20.0): 0.0102541119679, (18.0, 7.0): 0.00674001407154, (15.0, 6.0): 0.00825817002402, (18.0, 18.0): 0.0101366417282, (8.0, 4.0): 0.00671695768276, (10.0, 11.0): 0.00668174977435, (13.0, 8.0): 0.00820756459286, (10.0, 6.0): 0.00829642542427, (15.0, 22.0): 0.00520086716555, (12.0, 5.0): 0.00823494763368, (17.0, 3.0): 0.00670957004915, (15.0, 8.0): 0.00829177856584, (21.0, 16.0): 0.00506122763778, (18.0, 8.0): 0.00680047499311, (15.0, 5.0): 0.00827397102253, (18.0, 23.0): 0.00783919305618, (16.0, 15.0): 0.0074436034576, (12.0, 10.0): 0.00827114684686, (15.0, 15.0): 0.00498632600816, (13.0, 11.0): 0.00663838660838, (18.0, 13.0): 0.00643491650879, (18.0, 24.0): 0.00788950451593, (8.0, 11.0): 0.00504184814197, (9.0, 10.0): 0.00837692482373, (19.0, 20.0): 0.0076945144075, (17.0, 4.0): 0.00837987692302, (14.0, 11.0): 0.00667797929303, (18.0, 3.0): 0.00504278560139, (17.0, 9.0): 0.00855419865169, (18.0, 14.0): 0.00684594717006, (8.0, 8.0): 0.00668995908594, (9.0, 5.0): 0.00835775692394, (11.0, 6.0): 0.00824865249527, }, ]
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+150 Stop [{(16.0, 6.0): 0.00852103287234, (11.0, 11.0): 0.0067665681387, (17.0, 7.0): 0.00858098182398, (16.0, 9.0): 0.00865340719507, (14.0, 4.0): 0.00844867681546, (13.0, 4.0): 0.0084328302692, (20.0, 20.0): 0.00742224360948, (18.0, 4.0): 0.00679664923463, (18.0, 19.0): 0.00726042479162, (8.0, 5.0): 0.00671146228371, (10.0, 8.0): 0.00841990542359, (11.0, 5.0): 0.00841041630712, (10.0, 7.0): 0.00841234330923, (16.0, 3.0): 0.00677661908917, (12.0, 6.0): 0.00843433407698, (16.0, 22.0): 0.007571746438, (13.0, 7.0): 0.00847029246883, (18.0, 9.0): 0.00700338117153, (15.0, 4.0): 0.00846437202878, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00478928191945, (9.0, 3.0): 0.00671057807652, (19.0, 24.0): 0.00762386822499, (12.0, 11.0): 0.00679107232544, (13.0, 10.0): 0.00852083648739, (18.0, 10.0): 0.00711379718536, (17.0, 18.0): 0.00715881392723, (9.0, 9.0): 0.00841494145616, (16.0, 18.0): 0.00717672774975, (11.0, 8.0): 0.00843671388472, (14.0, 8.0): 0.00852241165596, (21.0, 24.0): 0.00509496465412, (20.0, 16.0): 0.00682218164429, (17.0, 8.0): 0.00863760880359, (18.0, 15.0): 0.0087363019475, (8.0, 9.0): 0.00672760736167, (9.0, 4.0): 0.0083892959895, (10.0, 3.0): 0.00671540452621, (16.0, 7.0): 0.00855637995056, (11.0, 10.0): 0.00845356611043, (17.0, 6.0): 0.00853854422614, (16.0, 10.0): 0.00870819795945, (14.0, 5.0): 0.00845973570807, (13.0, 3.0): 0.0067432125459, (18.0, 5.0): 0.00681299559267, (17.0, 11.0): 0.0071128324495, (18.0, 16.0): 0.00903457140872, (8.0, 6.0): 0.00671484213822, (10.0, 9.0): 0.00842703968555, (9.0, 7.0): 0.00840291771443, (11.0, 4.0): 0.0084054679537, (10.0, 4.0): 0.00839569684314, (16.0, 4.0): 0.00847844715227, (12.0, 7.0): 0.00844638123248, (11.0, 9.0): 0.00844602448031, (15.0, 10.0): 0.00863148154141, (14.0, 6.0): 0.0084763880927, (13.0, 6.0): 0.0084541966299, (18.0, 6.0): 0.00683912571007, (17.0, 22.0): 0.00755755871169, (15.0, 7.0): 0.00852733407085, (18.0, 21.0): 0.00746222845009, (8.0, 3.0): 0.00503141634126, (10.0, 10.0): 0.0084328218403, (11.0, 3.0): 0.00672276455852, (12.0, 4.0): 0.00841809368414, (15.0, 9.0): 0.00859733067412, (14.0, 3.0): 0.0067549211587, (13.0, 9.0): 0.00850600229536, (12.0, 8.0): 0.00845953805259, (18.0, 11.0): 0.00729823466786, (18.0, 22.0): 0.0100463515507, (9.0, 8.0): 0.00840910961908, (14.0, 9.0): 0.00854772347272, (12.0, 9.0): 0.00847221631742, (17.0, 15.0): 0.00657787464453, (21.0, 20.0): 0.00495244273676, (18.0, 12.0): 0.00574985590811, (15.0, 11.0): 0.00692343318221, (8.0, 10.0): 0.006731024783, (9.0, 11.0): 0.00673822685181, (12.0, 3.0): 0.0067322333154, (17.0, 5.0): 0.00850842804161, (16.0, 11.0): 0.00700046662233, (14.0, 10.0): 0.00856979944971, (17.0, 10.0): 0.00880011295345, (15.0, 3.0): 0.006766409964, (18.0, 17.0): 0.0069582019193, (8.0, 7.0): 0.00671899779493, (9.0, 6.0): 0.00839711577123, (11.0, 7.0): 0.0084269104361, (10.0, 5.0): 0.00839951453848, (16.0, 5.0): 0.0084951238639, (20.0, 24.0): 0.00763715093892, (19.0, 16.0): 0.00680423949066, (16.0, 8.0): 0.00860100531269, (14.0, 7.0): 0.00849778487842, (13.0, 5.0): 0.00844140207286, (18.0, 20.0): 0.00984072140173, (18.0, 7.0): 0.00687679817422, (15.0, 6.0): 0.00849938636459, (18.0, 18.0): 0.00950715415576, (8.0, 4.0): 0.00670926978574, (10.0, 11.0): 0.00674918515296, (13.0, 8.0): 0.00848825262273, (10.0, 6.0): 0.00840527583107, (15.0, 22.0): 0.00505160539977, (12.0, 5.0): 0.00842461906256, (17.0, 3.0): 0.00678449358805, (15.0, 8.0): 0.0085608614646, (21.0, 16.0): 0.00455294262511, (18.0, 8.0): 0.00692932933674, (15.0, 5.0): 0.00847822808194, (18.0, 23.0): 0.00757286421643, (16.0, 15.0): 0.00659416244493, (12.0, 10.0): 0.0084825750348, (15.0, 15.0): 0.00440049020691, (13.0, 11.0): 0.00682384449216, (18.0, 13.0): 0.00602302288257, (18.0, 24.0): 0.00760249383278, (8.0, 11.0): 0.00504996623414, (9.0, 10.0): 0.0084196921509, (19.0, 20.0): 0.00740619751194, (17.0, 4.0): 0.00848937138425, (14.0, 11.0): 0.00686681430059, (18.0, 3.0): 0.00509186703196, (17.0, 9.0): 0.0087106252386, (18.0, 14.0): 0.00629112799686, (8.0, 8.0): 0.00672343088345, (9.0, 5.0): 0.00839238963496, (11.0, 6.0): 0.00841781245927, }, ]
+151 None [{(16.0, 6.0): 0.00852103287234, (11.0, 11.0): 0.0067665681387, (17.0, 7.0): 0.00858098182398, (16.0, 9.0): 0.00865340719507, (14.0, 4.0): 0.00844867681546, (13.0, 4.0): 0.0084328302692, (20.0, 20.0): 0.00742224360948, (18.0, 4.0): 0.00679664923463, (18.0, 19.0): 0.00726042479162, (8.0, 5.0): 0.00671146228371, (10.0, 8.0): 0.00841990542359, (11.0, 5.0): 0.00841041630712, (10.0, 7.0): 0.00841234330923, (16.0, 3.0): 0.00677661908917, (12.0, 6.0): 0.00843433407698, (16.0, 22.0): 0.007571746438, (13.0, 7.0): 0.00847029246883, (18.0, 9.0): 0.00700338117153, (15.0, 4.0): 0.00846437202878, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00478928191945, (9.0, 3.0): 0.00671057807652, (19.0, 24.0): 0.00762386822499, (12.0, 11.0): 0.00679107232544, (13.0, 10.0): 0.00852083648739, (18.0, 10.0): 0.00711379718536, (17.0, 18.0): 0.00715881392723, (9.0, 9.0): 0.00841494145616, (16.0, 18.0): 0.00717672774975, (11.0, 8.0): 0.00843671388472, (14.0, 8.0): 0.00852241165596, (21.0, 24.0): 0.00509496465412, (20.0, 16.0): 0.00682218164429, (17.0, 8.0): 0.00863760880359, (18.0, 15.0): 0.0087363019475, (8.0, 9.0): 0.00672760736167, (9.0, 4.0): 0.0083892959895, (10.0, 3.0): 0.00671540452621, (16.0, 7.0): 0.00855637995056, (11.0, 10.0): 0.00845356611043, (17.0, 6.0): 0.00853854422614, (16.0, 10.0): 0.00870819795945, (14.0, 5.0): 0.00845973570807, (13.0, 3.0): 0.0067432125459, (18.0, 5.0): 0.00681299559267, (17.0, 11.0): 0.0071128324495, (18.0, 16.0): 0.00903457140872, (8.0, 6.0): 0.00671484213822, (10.0, 9.0): 0.00842703968555, (9.0, 7.0): 0.00840291771443, (11.0, 4.0): 0.0084054679537, (10.0, 4.0): 0.00839569684314, (16.0, 4.0): 0.00847844715227, (12.0, 7.0): 0.00844638123248, (11.0, 9.0): 0.00844602448031, (15.0, 10.0): 0.00863148154141, (14.0, 6.0): 0.0084763880927, (13.0, 6.0): 0.0084541966299, (18.0, 6.0): 0.00683912571007, (17.0, 22.0): 0.00755755871169, (15.0, 7.0): 0.00852733407085, (18.0, 21.0): 0.00746222845009, (8.0, 3.0): 0.00503141634126, (10.0, 10.0): 0.0084328218403, (11.0, 3.0): 0.00672276455852, (12.0, 4.0): 0.00841809368414, (15.0, 9.0): 0.00859733067412, (14.0, 3.0): 0.0067549211587, (13.0, 9.0): 0.00850600229536, (12.0, 8.0): 0.00845953805259, (18.0, 11.0): 0.00729823466786, (18.0, 22.0): 0.0100463515507, (9.0, 8.0): 0.00840910961908, (14.0, 9.0): 0.00854772347272, (12.0, 9.0): 0.00847221631742, (17.0, 15.0): 0.00657787464453, (21.0, 20.0): 0.00495244273676, (18.0, 12.0): 0.00574985590811, (15.0, 11.0): 0.00692343318221, (8.0, 10.0): 0.006731024783, (9.0, 11.0): 0.00673822685181, (12.0, 3.0): 0.0067322333154, (17.0, 5.0): 0.00850842804161, (16.0, 11.0): 0.00700046662233, (14.0, 10.0): 0.00856979944971, (17.0, 10.0): 0.00880011295345, (15.0, 3.0): 0.006766409964, (18.0, 17.0): 0.0069582019193, (8.0, 7.0): 0.00671899779493, (9.0, 6.0): 0.00839711577123, (11.0, 7.0): 0.0084269104361, (10.0, 5.0): 0.00839951453848, (16.0, 5.0): 0.0084951238639, (20.0, 24.0): 0.00763715093892, (19.0, 16.0): 0.00680423949066, (16.0, 8.0): 0.00860100531269, (14.0, 7.0): 0.00849778487842, (13.0, 5.0): 0.00844140207286, (18.0, 20.0): 0.00984072140173, (18.0, 7.0): 0.00687679817422, (15.0, 6.0): 0.00849938636459, (18.0, 18.0): 0.00950715415576, (8.0, 4.0): 0.00670926978574, (10.0, 11.0): 0.00674918515296, (13.0, 8.0): 0.00848825262273, (10.0, 6.0): 0.00840527583107, (15.0, 22.0): 0.00505160539977, (12.0, 5.0): 0.00842461906256, (17.0, 3.0): 0.00678449358805, (15.0, 8.0): 0.0085608614646, (21.0, 16.0): 0.00455294262511, (18.0, 8.0): 0.00692932933674, (15.0, 5.0): 0.00847822808194, (18.0, 23.0): 0.00757286421643, (16.0, 15.0): 0.00659416244493, (12.0, 10.0): 0.0084825750348, (15.0, 15.0): 0.00440049020691, (13.0, 11.0): 0.00682384449216, (18.0, 13.0): 0.00602302288257, (18.0, 24.0): 0.00760249383278, (8.0, 11.0): 0.00504996623414, (9.0, 10.0): 0.0084196921509, (19.0, 20.0): 0.00740619751194, (17.0, 4.0): 0.00848937138425, (14.0, 11.0): 0.00686681430059, (18.0, 3.0): 0.00509186703196, (17.0, 9.0): 0.0087106252386, (18.0, 14.0): 0.00629112799686, (8.0, 8.0): 0.00672343088345, (9.0, 5.0): 0.00839238963496, (11.0, 6.0): 0.00841781245927, }, ]
+"""
diff --git a/tracking/test_cases/q11/4-ParticlePredict.test b/tracking/test_cases/q11/4-ParticlePredict.test
new file mode 100644
index 0000000..20af128
--- /dev/null
+++ b/tracking/test_cases/q11/4-ParticlePredict.test
@@ -0,0 +1,46 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%    %
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%    %%%%
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%%%%    %
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%    %%%%
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%%%%    %
+%%%%%%%%%%%%%%%    %%%%
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%           %%%%
+%%%%%%%%           %%%%
+%%%%%%%%           %%%%
+%%%%%%%%           %%%%
+%%%%%%%%   G       %%%%
+%%%%%%%%           %%%%
+%%P%%%%%           %%%%
+%%%%%%%%           %%%%
+%%%%%%%%           %%%%
+%%%%%%%%%%%%%%%%%%%%%%%
+% %%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "150"
+numParticles: "5000"
+numGhosts: "1"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+L2Tolerance: "0.05"
+errorMsg: "Particle filter full test: %d inference errors."
+
diff --git a/tracking/test_cases/q11/5-ParticlePredict.solution b/tracking/test_cases/q11/5-ParticlePredict.solution
new file mode 100644
index 0000000..17fc757
--- /dev/null
+++ b/tracking/test_cases/q11/5-ParticlePredict.solution
@@ -0,0 +1,105 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(3, 15): 0.007751937984496124, (6, 9): 0.007751937984496124, (1, 3): 0.007751937984496124, (8, 13): 0.007751937984496124, (11, 11): 0.007751937984496124, (7, 3): 0.007751937984496124, (7, 12): 0.007751937984496124, (9, 8): 0.007751937984496124, (5, 13): 0.007751937984496124, (11, 7): 0.007751937984496124, (10, 15): 0.007751937984496124, (1, 6): 0.007751937984496124, (7, 11): 0.007751937984496124, (1, 11): 0.007751937984496124, (8, 5): 0.007751937984496124, (5, 8): 0.007751937984496124, (13, 13): 0.007751937984496124, (4, 13): 0.007751937984496124, (13, 12): 0.007751937984496124, (6, 7): 0.007751937984496124, (5, 5): 0.007751937984496124, (11, 5): 0.007751937984496124, (10, 7): 0.007751937984496124, (13, 10): 0.007751937984496124, (3, 10): 0.007751937984496124, (6, 10): 0.007751937984496124, (1, 14): 0.007751937984496124, (8, 10): 0.007751937984496124, (4, 8): 0.007751937984496124, (9, 11): 0.007751937984496124, (3, 5): 0.007751937984496124, (6, 15): 0.007751937984496124, (13, 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+1 Stop [{(3, 15): 0.003069838833461241, (6, 9): 0.0005755947812739828, (1, 3): 0.0007674597083653103, (8, 13): 0.006139677666922482, (11, 11): 0.012279355333844964, (7, 3): 0.012279355333844964, (7, 12): 0.0015349194167306205, (9, 8): 0.0015349194167306205, (5, 13): 0.012279355333844964, (11, 7): 0.012279355333844964, (10, 15): 0.006139677666922482, (1, 6): 0.006139677666922482, (7, 11): 0.0007674597083653103, (1, 11): 0.012279355333844964, (8, 5): 0.006139677666922482, (5, 8): 0.0015349194167306205, (13, 13): 0.003069838833461241, (4, 13): 0.02455871066768993, (13, 12): 0.006139677666922482, (6, 7): 0.0015349194167306205, (5, 5): 0.012279355333844964, (11, 5): 0.012279355333844964, (10, 7): 0.006139677666922482, (13, 10): 0.02455871066768993, (3, 10): 0.006139677666922482, (6, 10): 0.0007674597083653103, (1, 14): 0.0015349194167306205, (8, 10): 0.0007674597083653103, (4, 8): 0.003069838833461241, (9, 11): 0.003069838833461241, (3, 5): 0.012279355333844964, (6, 15): 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+101 None [{(3.0, 15.0): 0.0, (6.0, 9.0): 0.0, (1.0, 3.0): 0.00028031412746731317, (8.0, 13.0): 0.0, (11.0, 11.0): 0.0, (4.0, 8.0): 0.0, (7.0, 12.0): 0.0, (9.0, 8.0): 0.0, (5.0, 13.0): 0.0, (11.0, 7.0): 0.0, (10.0, 15.0): 0.058821225994821404, (1.0, 6.0): 0.12645935408019113, (7.0, 11.0): 0.0, (1.0, 11.0): 0.00011146799903596792, (8.0, 5.0): 0.0, (5.0, 8.0): 0.0, (10.0, 8.0): 0.0, (13.0, 12.0): 5.241192174247189e-07, (6.0, 7.0): 0.0, (5.0, 5.0): 0.0, (11.0, 5.0): 0.0, (10.0, 7.0): 0.0, (13.0, 10.0): 3.2847584404110284e-08, (3.0, 10.0): 0.0, (6.0, 10.0): 0.0, (1.0, 14.0): 0.0, (8.0, 10.0): 0.0, (4.0, 13.0): 0.0, (9.0, 11.0): 0.0, (3.0, 5.0): 0.0, (6.0, 15.0): 0.0005753912164867969, (1, 1): 0.0, (8.0, 15.0): 0.031810137965425436, (11.0, 13.0): 0.0, (4.0, 10.0): 0.0, (7.0, 10.0): 0.0, (5.0, 11.0): 0.0, (4.0, 5.0): 0.0, (10.0, 13.0): 0.0, (9.0, 3.0): 0.0, (12.0, 15.0): 0.0008439198583016978, (1.0, 4.0): 0.00437779138937244, (7.0, 7.0): 0.0, (7.0, 5.0): 0.0, (2.0, 3.0): 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12.0): 0.0, (10.0, 12.0): 0.0, (6.0, 3.0): 4.174202032332409e-13, (1.0, 5.0): 0.11377945476226711, (13.0, 4.0): 0.0, (3.0, 6.0): 0.0, (1.0, 10.0): 0.0019929089680605916, (8.0, 6.0): 0.0, (10.0, 9.0): 0.0, (9.0, 7.0): 0.0, (13.0, 15.0): 5.080622181326033e-06, (3.0, 13.0): 0.0, (6.0, 11.0): 0.0, (1.0, 13.0): 0.0, (8.0, 11.0): 0.0, (11.0, 9.0): 0.0, (9.0, 10.0): 0.0, (5.0, 15.0): 3.2183016964058054e-05, (13.0, 9.0): 8.288422006418885e-10, (6.0, 12.0): 0.0, (11.0, 12.0): 0.0, (4.0, 11.0): 0.0, (7.0, 9.0): 0.0, (9.0, 13.0): 0.0, (8.0, 3.0): 4.744813806009328e-19, (7.0, 3.0): 7.254272482972392e-16, (4.0, 6.0): 0.0, (13.0, 3.0): 0.0, (10.0, 10.0): 0.0, (13.0, 14.0): 3.6175624914326e-07, (5.0, 7.0): 0.0, (11.0, 3.0): 0.0, (3.0, 8.0): 0.0, (1.0, 8.0): 0.11017310058913439, (8.0, 8.0): 0.0, (4.0, 3.0): 5.160467350006766e-08, (13.0, 5.0): 0.0, (2.0, 15.0): 0.0, (9.0, 5.0): 0.0, (7.0, 6.0): 0.0, (11.0, 6.0): 0.0}, {(3.0, 15.0): 0.0, (6.0, 9.0): 5.6765990847305025e-05, (1.0, 3.0): 2.6915308629432376e-08, (8.0, 13.0): 0.001776508929446241, (11.0, 11.0): 4.786435580660707e-09, (4.0, 8.0): 0.0006142907743998341, (7.0, 12.0): 0.004767404534553755, (9.0, 8.0): 0.0, (5.0, 13.0): 0.0785673584466827, (11.0, 7.0): 0.0, (10.0, 15.0): 0.010969262472690122, (1.0, 6.0): 4.000979001193351e-05, (7.0, 11.0): 0.0010332151843399798, (1.0, 11.0): 0.0, (8.0, 5.0): 0.0, (5.0, 8.0): 4.2071737595240044e-05, (10.0, 8.0): 0.0, (13.0, 12.0): 0.0006409650332172677, (6.0, 7.0): 1.0606146530048788e-08, (5.0, 5.0): 0.0, (11.0, 5.0): 0.0, (10.0, 7.0): 0.0, (13.0, 10.0): 2.0090685162118795e-06, (3.0, 10.0): 0.04706530511941312, (6.0, 10.0): 0.001215203189949555, (1.0, 14.0): 0.0, (8.0, 10.0): 2.239699656728289e-06, (4.0, 13.0): 0.020222680024721072, (9.0, 11.0): 1.4316970208856066e-06, (3.0, 5.0): 4.3762259447377416e-08, (6.0, 15.0): 0.019404946048152103, (13.0, 4.0): 0.0, (8.0, 15.0): 0.08886612440359519, (11.0, 13.0): 7.510253394594607e-07, (4.0, 10.0): 0.03326680372594211, (7.0, 10.0): 5.6764729854759265e-05, (5.0, 11.0): 0.038952407079212874, (4.0, 5.0): 2.7939480549628157e-09, (10.0, 13.0): 6.988628122328749e-06, (9.0, 3.0): 0.0, (12.0, 15.0): 0.00337963801332857, (1.0, 4.0): 8.931135417127301e-08, (7.0, 7.0): 0.0, (7.0, 5.0): 0.0, (2.0, 3.0): 1.3483472096578954e-08, (1.0, 9.0): 0.000618819401651624, (8.0, 7.0): 0.0, (5.0, 10.0): 0.006520710413472003, (9.0, 6.0): 0.0, (6.0, 5.0): 0.0, (5.0, 3.0): 2.4069766492490536e-11, (7.0, 15.0): 0.10307601066749715, (10.0, 5.0): 0.0, (3.0, 12.0): 0.020223112394353576, (6.0, 8.0): 2.2397939208693363e-06, (1.0, 12.0): 0.0, (8.0, 12.0): 0.0006142517806438159, (11.0, 8.0): 0.0, (4.0, 15.0): 0.0, (3, 1): 0.0, (13.0, 6.0): 0.0, (9.0, 9.0): 0.0, (12.0, 3.0): 0.0, (6.0, 13.0): 0.04706313350396285, (1.0, 7.0): 0.00020416919480994726, (11.0, 15.0): 0.006295032779826585, (3.0, 9.0): 0.014370936346879354, (13.0, 11.0): 4.716445094301649e-05, (7.0, 8.0): 1.39122719590743e-08, (9.0, 12.0): 2.2273335858336183e-05, (13.0, 7.0): 0.0, (5.0, 9.0): 0.0010332533911889801, (4.0, 7.0): 2.225232151532656e-05, (7.0, 13.0): 0.014370165267106954, (10.0, 11.0): 1.1991668375985414e-08, (13.0, 13.0): 0.0016007756559614675, (6.0, 6.0): 0.0, (5.0, 6.0): 6.0792918169926544e-09, (10.0, 6.0): 0.0, (3.0, 11.0): 0.07857012279782827, (1.0, 15.0): 0.0, (8.0, 9.0): 1.3911926739414253e-08, (4.0, 12.0): 0.10036652140618388, (13.0, 8.0): 3.4549620029214714e-10, (3.0, 7.0): 0.0001901238061898855, (10.0, 3.0): 0.0, (11.0, 10.0): 6.069614229642908e-12, (4.0, 9.0): 0.004767663214241822, (3.0, 3.0): 3.162472747266164e-09, (9.0, 15.0): 0.03677169730657837, (5.0, 12.0): 0.08247414796870241, (10.0, 12.0): 1.2052652668113262e-06, (6.0, 3.0): 8.584676634813389e-13, (1.0, 5.0): 1.331467119269787e-06, (3.0, 6.0): 6.394046781464794e-06, (1.0, 10.0): 0.00011656627464114789, (8.0, 6.0): 0.0, (10.0, 9.0): 0.0, (9.0, 7.0): 0.0, (13.0, 15.0): 0.002719828304882728, (3.0, 13.0): 0.0, (6.0, 11.0): 0.006520571116648693, (1.0, 13.0): 0.0, (8.0, 11.0): 4.206916383443672e-05, (11.0, 9.0): 0.0, (9.0, 10.0): 1.0606267221991477e-08, (5.0, 15.0): 0.0, (13.0, 9.0): 6.942108955988288e-08, (6.0, 12.0): 0.033265606962313204, (11.0, 12.0): 9.381103132147517e-08, (4.0, 11.0): 0.08247599485080478, (7.0, 9.0): 2.5932410782785177e-06, (9.0, 13.0): 0.00019062568095100268, (8.0, 3.0): 0.0, (7.0, 3.0): 0.0, (4.0, 6.0): 6.616361284128344e-07, (13.0, 3.0): 0.0, (10.0, 10.0): 0.0, (13.0, 14.0): 0.0021691964211100956, (5.0, 7.0): 1.4311298174763787e-06, (11.0, 3.0): 0.0, (3.0, 8.0): 0.0017766319419878448, (1.0, 8.0): 0.0005331546624881861, (8.0, 8.0): 0.0, (4.0, 3.0): 3.567823057226496e-10, (13.0, 5.0): 0.0, (2.0, 15.0): 0.0, (9.0, 5.0): 0.0, (7.0, 6.0): 0.0, (11.0, 6.0): 0.0}]
+"""
diff --git a/tracking/test_cases/q11/5-ParticlePredict.test b/tracking/test_cases/q11/5-ParticlePredict.test
new file mode 100644
index 0000000..a92be70
--- /dev/null
+++ b/tracking/test_cases/q11/5-ParticlePredict.test
@@ -0,0 +1,37 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%%%%%
+%      G      %
+% %%%%%%%%%%% %
+% %         % %
+% %         % %
+% %         % %
+% %         % %
+% %    P    % %
+% %         % %
+% %         % %
+% %         % %
+% %         % %
+% %%%%%%%%%%% %
+%      G      %
+%%%%%%%%%%%%%%%
+% % %%%%%%%%%%%
+%%%%%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "100"
+numParticles: "5000"
+numGhosts: "2"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+L2Tolerance: "0.05"
+errorMsg: "Particle filter full test: %d inference errors."
+
diff --git a/tracking/test_cases/q11/6-ParticlePredict.solution b/tracking/test_cases/q11/6-ParticlePredict.solution
new file mode 100644
index 0000000..c6313a9
--- /dev/null
+++ b/tracking/test_cases/q11/6-ParticlePredict.solution
@@ -0,0 +1 @@
+# You must win at least 4/10 games with at least 300 points
\ No newline at end of file
diff --git a/tracking/test_cases/q11/6-ParticlePredict.test b/tracking/test_cases/q11/6-ParticlePredict.test
new file mode 100644
index 0000000..5408581
--- /dev/null
+++ b/tracking/test_cases/q11/6-ParticlePredict.test
@@ -0,0 +1,26 @@
+class: "GameScoreTest"
+
+numRuns: "5"
+numWinsForCredit: "4"
+layout_name: "smallHunt"
+min_score: "300"
+
+layout_str: """
+%%%%%%%%%%%%%%%%%%%%
+%P        G        %
+% %%%%% %%%%%% % % %
+%     G            %
+%                  %
+%%%%%%%%%%%%%%%%%%%%
+% % %%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%
+"""
+
+observe: "True"
+elapse: "True"
+maxMoves: "100"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+numGhosts: "2"
+
+
diff --git a/tracking/test_cases/q11/CONFIG b/tracking/test_cases/q11/CONFIG
new file mode 100644
index 0000000..b4a7732
--- /dev/null
+++ b/tracking/test_cases/q11/CONFIG
@@ -0,0 +1,3 @@
+max_points: "2"
+class: "PassAllTestsQuestion"
+
diff --git a/tracking/test_cases/q2/1-product-rule.solution b/tracking/test_cases/q2/1-product-rule.solution
new file mode 100644
index 0000000..08b9470
--- /dev/null
+++ b/tracking/test_cases/q2/1-product-rule.solution
@@ -0,0 +1,18 @@
+# This is the solution file for test_cases/q3/1-product-rule.test.
+variableDomainsDict: """
+D : wet dry
+W : sun rain
+"""
+
+unconditionedVariables: "D W"
+
+conditionedVariables: ""
+
+FactorTable: """
+D : wet, W : sun = 0.08
+D : dry, W : sun = 0.72
+D : wet, W : rain = 0.14
+D : dry, W : rain = 0.06
+"""
+
+
diff --git a/tracking/test_cases/q2/1-product-rule.test b/tracking/test_cases/q2/1-product-rule.test
new file mode 100644
index 0000000..05bf94e
--- /dev/null
+++ b/tracking/test_cases/q2/1-product-rule.test
@@ -0,0 +1,36 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "joinFactors"
+factorArgs: "A B"
+seed: "cs188"
+constructRandomly: "False"
+
+
+variableDomainsDict: """
+W : sun rain
+D : wet dry
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "D"
+
+AconditionedVariables: "W"
+
+AFactorTable: """
+D : wet, W : sun = 0.1
+D : dry, W : sun = 0.9
+D : wet, W : rain = 0.7
+D : dry, W : rain = 0.3
+"""
+
+
+BunconditionedVariables: "W"
+
+BconditionedVariables: ""
+
+BFactorTable: """
+W : sun = 0.8
+W : rain = 0.2
+"""
+
diff --git a/tracking/test_cases/q2/2-product-rule-extended.solution b/tracking/test_cases/q2/2-product-rule-extended.solution
new file mode 100644
index 0000000..41fa68f
--- /dev/null
+++ b/tracking/test_cases/q2/2-product-rule-extended.solution
@@ -0,0 +1,23 @@
+# This is the solution file for test_cases/q3/2-product-rule-extended.test.
+variableDomainsDict: """
+D : wet dry
+W : sun rain
+T : cold hot
+"""
+
+unconditionedVariables: "D W T"
+
+conditionedVariables: ""
+
+FactorTable: """
+D : wet, W : sun, T : cold = 0.02
+D : dry, W : sun, T : cold = 0.18
+D : wet, W : rain, T : cold = 0.126
+D : dry, W : rain, T : cold = 0.054
+D : wet, W : sun, T : hot = 0.06
+D : dry, W : sun, T : hot = 0.54
+D : wet, W : rain, T : hot = 0.014
+D : dry, W : rain, T : hot = 0.006
+"""
+
+
diff --git a/tracking/test_cases/q2/2-product-rule-extended.test b/tracking/test_cases/q2/2-product-rule-extended.test
new file mode 100644
index 0000000..61da46b
--- /dev/null
+++ b/tracking/test_cases/q2/2-product-rule-extended.test
@@ -0,0 +1,49 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "joinFactors"
+factorArgs: "A B C"
+seed: "cs188"
+constructRandomly: "False"
+
+
+variableDomainsDict: """
+W : sun rain
+D : wet dry
+T : cold hot
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "D"
+
+AconditionedVariables: "W"
+
+AFactorTable: """
+D : wet, W : sun = 0.1
+D : dry, W : sun = 0.9
+D : wet, W : rain = 0.7
+D : dry, W : rain = 0.3
+"""
+
+
+CunconditionedVariables: "T"
+
+CconditionedVariables: "W"
+
+CFactorTable: """
+T : cold, W : sun = 0.25
+T : hot, W : sun = 0.75
+T : cold, W : rain = 0.9
+T : hot, W : rain = 0.1
+"""
+
+
+BunconditionedVariables: "W"
+
+BconditionedVariables: ""
+
+BFactorTable: """
+W : sun = 0.8
+W : rain = 0.2
+"""
+
diff --git a/tracking/test_cases/q2/3-disjoint-right.solution b/tracking/test_cases/q2/3-disjoint-right.solution
new file mode 100644
index 0000000..9f29b45
--- /dev/null
+++ b/tracking/test_cases/q2/3-disjoint-right.solution
@@ -0,0 +1,113 @@
+# This is the solution file for test_cases/q3/3-disjoint-right.test.
+variableDomainsDict: """
+Q : singleEntryForThisVariable
+M : l m n o
+L : 0 1 2
+O : help! me! I'mTrapped InaBayesNet
+N : -10.5 1.34
+"""
+
+unconditionedVariables: "M L N"
+
+conditionedVariables: "Q O"
+
+FactorTable: """
+M : l, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.258330124403
+M : m, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.104734692091
+M : n, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.0377614688681
+M : o, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.0
+M : l, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.172735794206
+M : m, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.0125717596017
+M : n, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.0638957615356
+M : o, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.0667905852913
+M : l, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.0
+M : m, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.0391473894072
+M : n, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.191710903684
+M : o, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.0523215209113
+M : l, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : m, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : n, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : o, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : l, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : m, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : n, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : o, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : l, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : m, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : n, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : o, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : l, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.145578766133
+M : m, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.0590219482964
+M : n, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.0212800116049
+M : o, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.0
+M : l, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.0973431335025
+M : m, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.00708466058755
+M : n, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.0360076709868
+M : o, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.0376390133302
+M : l, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.0
+M : m, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.0220610300885
+M : n, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.108036323201
+M : o, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.0294851499571
+M : l, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.11275135827
+M : m, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.0457127437946
+M : n, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.0164814572632
+M : o, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.0
+M : l, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.0753926607035
+M : m, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.00548709901415
+M : n, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.0278880905488
+M : o, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.0291515719611
+M : l, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.0
+M : m, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.0170863593187
+M : n, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.0836745804831
+M : o, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.0228363709542
+M : l, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.195574976701
+M : m, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0792918944811
+M : n, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0285882198645
+M : o, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0
+M : l, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.130773749307
+M : m, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0095177501922
+M : n, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0483738089101
+M : o, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0505654042182
+M : l, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0
+M : m, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0296374640352
+M : n, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.145139308116
+M : o, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0396112542307
+M : l, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0627551477024
+M : m, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0254427976099
+M : n, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.00917324900359
+M : o, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0
+M : l, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0419620448987
+M : m, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0030540094095
+M : n, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0155219526255
+M : o, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0162251810731
+M : l, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0
+M : m, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.009509925372
+M : n, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0465715955685
+M : o, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0127102666806
+M : l, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.135144264696
+M : m, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0547914920242
+M : n, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0197547458154
+M : o, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0
+M : l, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0903659685399
+M : m, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.00657686056258
+M : n, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0334267857065
+M : o, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0349411999808
+M : l, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0
+M : m, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.02047978403
+M : n, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.100292713335
+M : o, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0273717727954
+M : l, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.123185859707
+M : m, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0499432000668
+M : n, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0180067230527
+M : o, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0
+M : l, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0823698256661
+M : m, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.00599489903912
+M : n, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0304689758291
+M : o, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0318493853105
+M : l, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0
+M : m, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0186676053772
+M : n, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0914181903486
+M : o, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0249497481159
+"""
+
+
diff --git a/tracking/test_cases/q2/3-disjoint-right.test b/tracking/test_cases/q2/3-disjoint-right.test
new file mode 100644
index 0000000..782d464
--- /dev/null
+++ b/tracking/test_cases/q2/3-disjoint-right.test
@@ -0,0 +1,53 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "joinFactors"
+factorArgs: "A B"
+seed: "cs188"
+constructRandomly: "False"
+
+
+variableDomainsDict: """
+L : 0 1 2
+M : l m n o
+N : -10.5 1.34
+O : help! me! I'mTrapped InaBayesNet
+Q : singleEntryForThisVariable
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "M L"
+
+AconditionedVariables: "Q"
+
+AFactorTable: """
+L : 0, M : l, Q : singleEntryForThisVariable = 0.258330124403
+L : 1, M : l, Q : singleEntryForThisVariable = 0.172735794206
+L : 2, M : l, Q : singleEntryForThisVariable = 0.0
+L : 0, M : m, Q : singleEntryForThisVariable = 0.104734692091
+L : 1, M : m, Q : singleEntryForThisVariable = 0.0125717596017
+L : 2, M : m, Q : singleEntryForThisVariable = 0.0391473894072
+L : 0, M : n, Q : singleEntryForThisVariable = 0.0377614688681
+L : 1, M : n, Q : singleEntryForThisVariable = 0.0638957615356
+L : 2, M : n, Q : singleEntryForThisVariable = 0.191710903684
+L : 0, M : o, Q : singleEntryForThisVariable = 0.0
+L : 1, M : o, Q : singleEntryForThisVariable = 0.0667905852913
+L : 2, M : o, Q : singleEntryForThisVariable = 0.0523215209113
+"""
+
+
+BunconditionedVariables: "N"
+
+BconditionedVariables: "O"
+
+BFactorTable: """
+N : -10.5, O : help! = 1.0
+N : 1.34, O : help! = 0.0
+N : -10.5, O : me! = 0.563537707688
+N : 1.34, O : me! = 0.436462292312
+N : -10.5, O : I'mTrapped = 0.757073830056
+N : 1.34, O : I'mTrapped = 0.242926169944
+N : -10.5, O : InaBayesNet = 0.523145587487
+N : 1.34, O : InaBayesNet = 0.476854412513
+"""
+
diff --git a/tracking/test_cases/q2/4-common-right.solution b/tracking/test_cases/q2/4-common-right.solution
new file mode 100644
index 0000000..deda949
--- /dev/null
+++ b/tracking/test_cases/q2/4-common-right.solution
@@ -0,0 +1,113 @@
+# This is the solution file for test_cases/q3/4-common-right.test.
+variableDomainsDict: """
+Q1 : myNameHasMoreThanOneLetter
+N1 : -10.5 1.34
+M1 : l m n o
+O1 : help! me! I'mTrapped InaBayesNet
+L1 : 0 1 2
+"""
+
+unconditionedVariables: "Q1 N1 M1 L1"
+
+conditionedVariables: "O1"
+
+FactorTable: """
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 0, O1 : help! = 0.0396781584597
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 0, O1 : help! = 0.218651965943
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 0, O1 : help! = 0.0160867019231
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 0, O1 : help! = 0.0886479901679
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 0, O1 : help! = 0.00579996447911
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 0, O1 : help! = 0.031961504389
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 0, O1 : help! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 0, O1 : help! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 1, O1 : help! = 0.0265313161986
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 1, O1 : help! = 0.146204478007
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 1, O1 : help! = 0.00193095664219
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 1, O1 : help! = 0.0106408029595
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 1, O1 : help! = 0.0098140553951
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 1, O1 : help! = 0.0540817061405
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 1, O1 : help! = 0.0102586852111
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 1, O1 : help! = 0.0565319000802
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 2, O1 : help! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 2, O1 : help! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 2, O1 : help! = 0.00601283463852
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 2, O1 : help! = 0.0331345547687
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 2, O1 : help! = 0.0294457939523
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 2, O1 : help! = 0.162265109732
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 2, O1 : help! = 0.00803631246015
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 2, O1 : help! = 0.0442852084511
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 0, O1 : me! = 0.159661284861
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 0, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 0, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 0, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 0, O1 : me! = 0.062484977125
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 0, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 0, O1 : me! = 0.048394873988
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 0, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 1, O1 : me! = 0.110637840267
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 1, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 1, O1 : me! = 0.0355009323002
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 1, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 1, O1 : me! = 0.144114059443
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 1, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 1, O1 : me! = 0.131361951232
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 1, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 2, O1 : me! = 0.062692626321
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 2, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 2, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 2, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 2, O1 : me! = 0.130648517392
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 2, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 2, O1 : me! = 0.11450293707
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 2, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 0, O1 : I'mTrapped = 0.158525600787
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 0, O1 : I'mTrapped = 0.106254735008
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 0, O1 : I'mTrapped = 0.100800788457
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 0, O1 : I'mTrapped = 0.0675636049505
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 0, O1 : I'mTrapped = 0.0987735573681
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 0, O1 : I'mTrapped = 0.0662048155749
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 0, O1 : I'mTrapped = 0.0263411253275
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 0, O1 : I'mTrapped = 0.017655629612
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 1, O1 : I'mTrapped = 0.0097691504527
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 1, O1 : I'mTrapped = 0.0065479549515
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 1, O1 : I'mTrapped = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 1, O1 : I'mTrapped = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 1, O1 : I'mTrapped = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 1, O1 : I'mTrapped = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 1, O1 : I'mTrapped = 0.0442852566048
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 1, O1 : I'mTrapped = 0.029683017645
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 2, O1 : I'mTrapped = 0.0445155280707
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 2, O1 : I'mTrapped = 0.0298373613816
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 2, O1 : I'mTrapped = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 2, O1 : I'mTrapped = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 2, O1 : I'mTrapped = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 2, O1 : I'mTrapped = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 2, O1 : I'mTrapped = 0.115695087593
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 2, O1 : I'mTrapped = 0.077546786216
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 0, O1 : InaBayesNet = 0.134402798029
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 0, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 0, O1 : InaBayesNet = 0.118127348229
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 0, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 0, O1 : InaBayesNet = 0.036009670999
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 0, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 0, O1 : InaBayesNet = 0.112024611449
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 0, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 1, O1 : InaBayesNet = 0.0773037189897
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 1, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 1, O1 : InaBayesNet = 0.143223151678
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 1, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 1, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 1, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 1, O1 : InaBayesNet = 0.0865755172268
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 1, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 2, O1 : InaBayesNet = 0.143496852294
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 2, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 2, O1 : InaBayesNet = 0.0132562954964
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 2, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 2, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 2, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 2, O1 : InaBayesNet = 0.135580035609
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 2, O1 : InaBayesNet = 0.0
+"""
+
+
diff --git a/tracking/test_cases/q2/4-common-right.test b/tracking/test_cases/q2/4-common-right.test
new file mode 100644
index 0000000..c6dedc8
--- /dev/null
+++ b/tracking/test_cases/q2/4-common-right.test
@@ -0,0 +1,162 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "joinFactors"
+factorArgs: "A B"
+seed: "cs188"
+constructRandomly: "False"
+
+
+variableDomainsDict: """
+L1 : 0 1 2
+M1 : l m n o
+N1 : -10.5 1.34
+O1 : help! me! I'mTrapped InaBayesNet
+Q1 : myNameHasMoreThanOneLetter
+"""
+
+# endO1fN1onFactors
+
+AunconditionedVariables: "L1 M1"
+
+AconditionedVariables: "O1"
+
+AFactorTable: """
+L1 : 0, M1 : l, O1 : help! = 0.258330124403
+L1 : 1, M1 : l, O1 : help! = 0.172735794206
+L1 : 2, M1 : l, O1 : help! = 0.0
+L1 : 0, M1 : m, O1 : help! = 0.104734692091
+L1 : 1, M1 : m, O1 : help! = 0.0125717596017
+L1 : 2, M1 : m, O1 : help! = 0.0391473894072
+L1 : 0, M1 : n, O1 : help! = 0.0377614688681
+L1 : 1, M1 : n, O1 : help! = 0.0638957615356
+L1 : 2, M1 : n, O1 : help! = 0.191710903684
+L1 : 0, M1 : o, O1 : help! = 0.0
+L1 : 1, M1 : o, O1 : help! = 0.0667905852913
+L1 : 2, M1 : o, O1 : help! = 0.0523215209113
+L1 : 0, M1 : l, O1 : me! = 0.159661284861
+L1 : 1, M1 : l, O1 : me! = 0.110637840267
+L1 : 2, M1 : l, O1 : me! = 0.062692626321
+L1 : 0, M1 : m, O1 : me! = 0.0
+L1 : 1, M1 : m, O1 : me! = 0.0355009323002
+L1 : 2, M1 : m, O1 : me! = 0.0
+L1 : 0, M1 : n, O1 : me! = 0.062484977125
+L1 : 1, M1 : n, O1 : me! = 0.144114059443
+L1 : 2, M1 : n, O1 : me! = 0.130648517392
+L1 : 0, M1 : o, O1 : me! = 0.048394873988
+L1 : 1, M1 : o, O1 : me! = 0.131361951232
+L1 : 2, M1 : o, O1 : me! = 0.11450293707
+L1 : 0, M1 : l, O1 : I'mTrapped = 0.264780335795
+L1 : 1, M1 : l, O1 : I'mTrapped = 0.0163171054042
+L1 : 2, M1 : l, O1 : I'mTrapped = 0.0743528894523
+L1 : 0, M1 : m, O1 : I'mTrapped = 0.168364393407
+L1 : 1, M1 : m, O1 : I'mTrapped = 0.0
+L1 : 2, M1 : m, O1 : I'mTrapped = 0.0
+L1 : 0, M1 : n, O1 : I'mTrapped = 0.164978372943
+L1 : 1, M1 : n, O1 : I'mTrapped = 0.0
+L1 : 2, M1 : n, O1 : I'mTrapped = 0.0
+L1 : 0, M1 : o, O1 : I'mTrapped = 0.0439967549395
+L1 : 1, M1 : o, O1 : I'mTrapped = 0.0739682742498
+L1 : 2, M1 : o, O1 : I'mTrapped = 0.193241873809
+L1 : 0, M1 : l, O1 : InaBayesNet = 0.134402798029
+L1 : 1, M1 : l, O1 : InaBayesNet = 0.0773037189897
+L1 : 2, M1 : l, O1 : InaBayesNet = 0.143496852294
+L1 : 0, M1 : m, O1 : InaBayesNet = 0.118127348229
+L1 : 1, M1 : m, O1 : InaBayesNet = 0.143223151678
+L1 : 2, M1 : m, O1 : InaBayesNet = 0.0132562954964
+L1 : 0, M1 : n, O1 : InaBayesNet = 0.036009670999
+L1 : 1, M1 : n, O1 : InaBayesNet = 0.0
+L1 : 2, M1 : n, O1 : InaBayesNet = 0.0
+L1 : 0, M1 : o, O1 : InaBayesNet = 0.112024611449
+L1 : 1, M1 : o, O1 : InaBayesNet = 0.0865755172268
+L1 : 2, M1 : o, O1 : InaBayesNet = 0.135580035609
+"""
+
+
+BunconditionedVariables: "Q1 N1"
+
+BconditionedVariables: "O1"
+
+BFactorTable: """
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, O1 : help! = 0.15359477936
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, O1 : help! = 0.84640522064
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, O1 : me! = 1.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, O1 : I'mTrapped = 0.59870609466
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, O1 : I'mTrapped = 0.40129390534
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, O1 : InaBayesNet = 1.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, O1 : InaBayesNet = 0.0
+"""
+
+
+
+AunconditionedVariables: "M1 L1"
+
+AconditionedVariables: "O1"
+
+AFactorTable: """
+L1 : 0, M1 : l, O1 : help! = 0.258330124403
+L1 : 1, M1 : l, O1 : help! = 0.172735794206
+L1 : 2, M1 : l, O1 : help! = 0.0
+L1 : 0, M1 : m, O1 : help! = 0.104734692091
+L1 : 1, M1 : m, O1 : help! = 0.0125717596017
+L1 : 2, M1 : m, O1 : help! = 0.0391473894072
+L1 : 0, M1 : n, O1 : help! = 0.0377614688681
+L1 : 1, M1 : n, O1 : help! = 0.0638957615356
+L1 : 2, M1 : n, O1 : help! = 0.191710903684
+L1 : 0, M1 : o, O1 : help! = 0.0
+L1 : 1, M1 : o, O1 : help! = 0.0667905852913
+L1 : 2, M1 : o, O1 : help! = 0.0523215209113
+L1 : 0, M1 : l, O1 : me! = 0.159661284861
+L1 : 1, M1 : l, O1 : me! = 0.110637840267
+L1 : 2, M1 : l, O1 : me! = 0.062692626321
+L1 : 0, M1 : m, O1 : me! = 0.0
+L1 : 1, M1 : m, O1 : me! = 0.0355009323002
+L1 : 2, M1 : m, O1 : me! = 0.0
+L1 : 0, M1 : n, O1 : me! = 0.062484977125
+L1 : 1, M1 : n, O1 : me! = 0.144114059443
+L1 : 2, M1 : n, O1 : me! = 0.130648517392
+L1 : 0, M1 : o, O1 : me! = 0.048394873988
+L1 : 1, M1 : o, O1 : me! = 0.131361951232
+L1 : 2, M1 : o, O1 : me! = 0.11450293707
+L1 : 0, M1 : l, O1 : I'mTrapped = 0.264780335795
+L1 : 1, M1 : l, O1 : I'mTrapped = 0.0163171054042
+L1 : 2, M1 : l, O1 : I'mTrapped = 0.0743528894523
+L1 : 0, M1 : m, O1 : I'mTrapped = 0.168364393407
+L1 : 1, M1 : m, O1 : I'mTrapped = 0.0
+L1 : 2, M1 : m, O1 : I'mTrapped = 0.0
+L1 : 0, M1 : n, O1 : I'mTrapped = 0.164978372943
+L1 : 1, M1 : n, O1 : I'mTrapped = 0.0
+L1 : 2, M1 : n, O1 : I'mTrapped = 0.0
+L1 : 0, M1 : o, O1 : I'mTrapped = 0.0439967549395
+L1 : 1, M1 : o, O1 : I'mTrapped = 0.0739682742498
+L1 : 2, M1 : o, O1 : I'mTrapped = 0.193241873809
+L1 : 0, M1 : l, O1 : InaBayesNet = 0.134402798029
+L1 : 1, M1 : l, O1 : InaBayesNet = 0.0773037189897
+L1 : 2, M1 : l, O1 : InaBayesNet = 0.143496852294
+L1 : 0, M1 : m, O1 : InaBayesNet = 0.118127348229
+L1 : 1, M1 : m, O1 : InaBayesNet = 0.143223151678
+L1 : 2, M1 : m, O1 : InaBayesNet = 0.0132562954964
+L1 : 0, M1 : n, O1 : InaBayesNet = 0.036009670999
+L1 : 1, M1 : n, O1 : InaBayesNet = 0.0
+L1 : 2, M1 : n, O1 : InaBayesNet = 0.0
+L1 : 0, M1 : o, O1 : InaBayesNet = 0.112024611449
+L1 : 1, M1 : o, O1 : InaBayesNet = 0.0865755172268
+L1 : 2, M1 : o, O1 : InaBayesNet = 0.135580035609
+"""
+
+
+BunconditionedVariables: "Q1 N1"
+
+BconditionedVariables: "O1"
+
+BFactorTable: """
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, O1 : help! = 0.15359477936
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, O1 : help! = 0.84640522064
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, O1 : me! = 1.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, O1 : I'mTrapped = 0.59870609466
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, O1 : I'mTrapped = 0.40129390534
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, O1 : InaBayesNet = 1.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, O1 : InaBayesNet = 0.0
+"""
+
diff --git a/tracking/test_cases/q2/5-grade-join.solution b/tracking/test_cases/q2/5-grade-join.solution
new file mode 100644
index 0000000..bde5c9f
--- /dev/null
+++ b/tracking/test_cases/q2/5-grade-join.solution
@@ -0,0 +1,113 @@
+# This is the solution file for test_cases/q3/5-grade-join.test.
+variableDomainsDict: """
+Q : singleEntryForThisVariable
+M : l m n o
+L : 0 1 2
+O : help! me! I'mTrapped InaBayesNet
+N : -10.5 1.34
+"""
+
+unconditionedVariables: "M L O N"
+
+conditionedVariables: "Q"
+
+FactorTable: """
+M : l, L : 0, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : m, L : 0, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : n, L : 0, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : o, L : 0, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : l, L : 1, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : m, L : 1, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.00639608303801
+M : n, L : 1, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0176575414931
+M : o, L : 1, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.00296557788646
+M : l, L : 2, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0135133823856
+M : m, L : 2, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0307889341341
+M : n, L : 2, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0264097152778
+M : o, L : 2, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0490236571006
+M : l, L : 0, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.007715630127
+M : m, L : 0, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.00217909337527
+M : n, L : 0, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.00678551130624
+M : o, L : 0, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : l, L : 1, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0107669094141
+M : m, L : 1, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : n, L : 1, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0305996504641
+M : o, L : 1, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : l, L : 2, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : m, L : 2, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0322681088037
+M : n, L : 2, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : o, L : 2, O : me!, N : -10.5, Q : singleEntryForThisVariable = 5.28535267952e-05
+M : l, L : 0, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.00654528636072
+M : m, L : 0, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : n, L : 0, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0332297127389
+M : o, L : 0, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0189507724124
+M : l, L : 1, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0437076697087
+M : m, L : 1, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0242173380091
+M : n, L : 1, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0243844055398
+M : o, L : 1, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : l, L : 2, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : m, L : 2, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.00685766769793
+M : n, L : 2, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : o, L : 2, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : l, L : 0, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : m, L : 0, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.00646248211554
+M : n, L : 0, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : o, L : 0, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0020683816771
+M : l, L : 1, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0208613118848
+M : m, L : 1, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0347270528183
+M : n, L : 1, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.00282752151891
+M : o, L : 1, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.013443479893
+M : l, L : 2, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0242099453272
+M : m, L : 2, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0382716139813
+M : n, L : 2, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.00599572506557
+M : o, L : 2, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0335505363489
+M : l, L : 0, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.00746874052442
+M : m, L : 0, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.024671121071
+M : n, L : 0, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : o, L : 0, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0242600514229
+M : l, L : 1, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0170706440325
+M : m, L : 1, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.00415780764838
+M : n, L : 1, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0274809888983
+M : o, L : 1, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : l, L : 2, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : m, L : 2, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : n, L : 2, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : o, L : 2, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : l, L : 0, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0236650880181
+M : m, L : 0, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : n, L : 0, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : o, L : 0, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : l, L : 1, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : m, L : 1, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : n, L : 1, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : o, L : 1, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : l, L : 2, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.00282788161527
+M : m, L : 2, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.00355557777586
+M : n, L : 2, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.025527974888
+M : o, L : 2, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0488393325071
+M : l, L : 0, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : m, L : 0, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : n, L : 0, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : o, L : 0, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : l, L : 1, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : m, L : 1, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.00217872982558
+M : n, L : 1, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : o, L : 1, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0161232920219
+M : l, L : 2, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0208377342581
+M : m, L : 2, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0212182372623
+M : n, L : 2, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0082921520866
+M : o, L : 2, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : l, L : 0, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : m, L : 0, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : n, L : 0, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : o, L : 0, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.035358138402
+M : l, L : 1, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0048170873596
+M : m, L : 1, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : n, L : 1, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0313228366687
+M : o, L : 1, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : l, L : 2, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0168964348
+M : m, L : 2, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : n, L : 2, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.039032224516
+M : o, L : 2, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0123590383624
+"""
+
+
diff --git a/tracking/test_cases/q2/5-grade-join.test b/tracking/test_cases/q2/5-grade-join.test
new file mode 100644
index 0000000..0c957d7
--- /dev/null
+++ b/tracking/test_cases/q2/5-grade-join.test
@@ -0,0 +1,225 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "joinFactors"
+factorArgs: "A B"
+seed: "cs188"
+constructRandomly: "False"
+
+
+variableDomainsDict: """
+L : 0 1 2
+M : l m n o
+N : -10.5 1.34
+O : help! me! I'mTrapped InaBayesNet
+Q : singleEntryForThisVariable
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "M L O"
+
+AconditionedVariables: "Q N"
+
+AFactorTable: """
+L : 0, M : l, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0447769827421
+L : 1, M : l, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0335548259369
+L : 2, M : l, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0135133823856
+L : 0, M : m, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0299407113048
+L : 1, M : m, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0190137493524
+L : 2, M : m, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0459168029028
+L : 0, M : n, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+L : 1, M : n, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0481229169727
+L : 2, M : n, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0264097152778
+L : 0, M : o, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0484229139817
+L : 1, M : o, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.00296557788646
+L : 2, M : o, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0490236571006
+L : 0, M : l, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0181539164706
+L : 1, M : l, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0107669094141
+L : 2, M : l, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+L : 0, M : m, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.00217909337527
+L : 1, M : m, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+L : 2, M : m, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0403565271376
+L : 0, M : n, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.00678551130624
+L : 1, M : n, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0305996504641
+L : 2, M : n, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0489301511809
+L : 0, M : o, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+L : 1, M : o, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+L : 2, M : o, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0045288246707
+L : 0, M : l, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.00654528636072
+L : 1, M : l, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0437076697087
+L : 2, M : l, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0
+L : 0, M : m, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0110752062624
+L : 1, M : m, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0396237693127
+L : 2, M : m, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0123021915473
+L : 0, M : n, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0332297127389
+L : 1, M : n, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0299842528698
+L : 2, M : n, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0
+L : 0, M : o, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0189507724124
+L : 1, M : o, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0
+L : 2, M : o, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0
+L : 0, M : l, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0
+L : 1, M : l, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.039840143279
+L : 2, M : l, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0351210471164
+L : 0, M : m, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0115769730372
+L : 1, M : m, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0347270528183
+L : 2, M : m, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0382716139813
+L : 0, M : n, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0090690152544
+L : 1, M : n, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.00799625915824
+L : 2, M : n, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0295772931739
+L : 0, M : o, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0146774518464
+L : 1, M : o, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.013443479893
+L : 2, M : o, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0463189893654
+L : 0, M : l, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.00746874052442
+L : 1, M : l, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0170706440325
+L : 2, M : l, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0125889576289
+L : 0, M : m, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.024671121071
+L : 1, M : m, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.00626546229009
+L : 2, M : m, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 0, M : n, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0246502130155
+L : 1, M : n, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0434087985544
+L : 2, M : n, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0128190936074
+L : 0, M : o, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0242600514229
+L : 1, M : o, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0038706658879
+L : 2, M : o, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.000564853924528
+L : 0, M : l, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0411575250006
+L : 1, M : l, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 2, M : l, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0293529082434
+L : 0, M : m, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0165362781706
+L : 1, M : m, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.026525369977
+L : 2, M : m, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0177402756729
+L : 0, M : n, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0488609903771
+L : 1, M : n, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0072654289765
+L : 2, M : n, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.025527974888
+L : 0, M : o, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0391811589986
+L : 1, M : o, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 2, M : o, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0494160410886
+L : 0, M : l, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0552756677955
+L : 1, M : l, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 2, M : l, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0321280167988
+L : 0, M : m, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 1, M : m, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.005603470804
+L : 2, M : m, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0479437369214
+L : 0, M : n, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 1, M : n, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 2, M : n, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0302095703475
+L : 0, M : o, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0227207214722
+L : 1, M : o, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0161232920219
+L : 2, M : o, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0151621127433
+L : 0, M : l, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 1, M : l, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0101119740519
+L : 2, M : l, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0543868524166
+L : 0, M : m, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 1, M : m, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0379246424001
+L : 2, M : m, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.00980121226356
+L : 0, M : n, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 1, M : n, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0484577738418
+L : 2, M : n, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0489563519456
+L : 0, M : o, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0411582588411
+L : 1, M : o, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 2, M : o, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.044833791982
+"""
+
+
+BunconditionedVariables: "N"
+
+BconditionedVariables: "Q M L O"
+
+BFactorTable: """
+N : -10.5, L : 0, M : l, O : help!, Q : singleEntryForThisVariable = 0.0
+N : 1.34, L : 0, M : l, O : help!, Q : singleEntryForThisVariable = 1.0
+N : -10.5, L : 1, M : l, O : help!, Q : singleEntryForThisVariable = 0.0
+N : 1.34, L : 1, M : l, O : help!, Q : singleEntryForThisVariable = 1.0
+N : -10.5, L : 2, M : l, O : help!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 2, M : l, O : help!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 0, M : m, O : help!, Q : singleEntryForThisVariable = 0.0
+N : 1.34, L : 0, M : m, O : help!, Q : singleEntryForThisVariable = 1.0
+N : -10.5, L : 1, M : m, O : help!, Q : singleEntryForThisVariable = 0.33639251888
+N : 1.34, L : 1, M : m, O : help!, Q : singleEntryForThisVariable = 0.66360748112
+N : -10.5, L : 2, M : m, O : help!, Q : singleEntryForThisVariable = 0.670537410876
+N : 1.34, L : 2, M : m, O : help!, Q : singleEntryForThisVariable = 0.329462589124
+N : -10.5, L : 0, M : n, O : help!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 0, M : n, O : help!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 1, M : n, O : help!, Q : singleEntryForThisVariable = 0.366925835005
+N : 1.34, L : 1, M : n, O : help!, Q : singleEntryForThisVariable = 0.633074164995
+N : -10.5, L : 2, M : n, O : help!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 2, M : n, O : help!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 0, M : o, O : help!, Q : singleEntryForThisVariable = 0.0
+N : 1.34, L : 0, M : o, O : help!, Q : singleEntryForThisVariable = 1.0
+N : -10.5, L : 1, M : o, O : help!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 1, M : o, O : help!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 2, M : o, O : help!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 2, M : o, O : help!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 0, M : l, O : me!, Q : singleEntryForThisVariable = 0.425011877712
+N : 1.34, L : 0, M : l, O : me!, Q : singleEntryForThisVariable = 0.574988122288
+N : -10.5, L : 1, M : l, O : me!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 1, M : l, O : me!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 2, M : l, O : me!, Q : singleEntryForThisVariable = 0.903659235677
+N : 1.34, L : 2, M : l, O : me!, Q : singleEntryForThisVariable = 0.0963407643231
+N : -10.5, L : 0, M : m, O : me!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 0, M : m, O : me!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 1, M : m, O : me!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 1, M : m, O : me!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 2, M : m, O : me!, Q : singleEntryForThisVariable = 0.799575956912
+N : 1.34, L : 2, M : m, O : me!, Q : singleEntryForThisVariable = 0.200424043088
+N : -10.5, L : 0, M : n, O : me!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 0, M : n, O : me!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 1, M : n, O : me!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 1, M : n, O : me!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 2, M : n, O : me!, Q : singleEntryForThisVariable = 0.0
+N : 1.34, L : 2, M : n, O : me!, Q : singleEntryForThisVariable = 1.0
+N : -10.5, L : 0, M : o, O : me!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 0, M : o, O : me!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 1, M : o, O : me!, Q : singleEntryForThisVariable = 0.0
+N : 1.34, L : 1, M : o, O : me!, Q : singleEntryForThisVariable = 1.0
+N : -10.5, L : 2, M : o, O : me!, Q : singleEntryForThisVariable = 0.0116704731665
+N : 1.34, L : 2, M : o, O : me!, Q : singleEntryForThisVariable = 0.988329526833
+N : -10.5, L : 0, M : l, O : I'mTrapped, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 0, M : l, O : I'mTrapped, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 1, M : l, O : I'mTrapped, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 1, M : l, O : I'mTrapped, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 2, M : l, O : I'mTrapped, Q : singleEntryForThisVariable = 0.351415482985
+N : 1.34, L : 2, M : l, O : I'mTrapped, Q : singleEntryForThisVariable = 0.648584517015
+N : -10.5, L : 0, M : m, O : I'mTrapped, Q : singleEntryForThisVariable = 0.0
+N : 1.34, L : 0, M : m, O : I'mTrapped, Q : singleEntryForThisVariable = 1.0
+N : -10.5, L : 1, M : m, O : I'mTrapped, Q : singleEntryForThisVariable = 0.611182086641
+N : 1.34, L : 1, M : m, O : I'mTrapped, Q : singleEntryForThisVariable = 0.388817913359
+N : -10.5, L : 2, M : m, O : I'mTrapped, Q : singleEntryForThisVariable = 0.5574346385
+N : 1.34, L : 2, M : m, O : I'mTrapped, Q : singleEntryForThisVariable = 0.4425653615
+N : -10.5, L : 0, M : n, O : I'mTrapped, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 0, M : n, O : I'mTrapped, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 1, M : n, O : I'mTrapped, Q : singleEntryForThisVariable = 0.813240391404
+N : 1.34, L : 1, M : n, O : I'mTrapped, Q : singleEntryForThisVariable = 0.186759608596
+N : -10.5, L : 2, M : n, O : I'mTrapped, Q : singleEntryForThisVariable = 0.725512412417
+N : 1.34, L : 2, M : n, O : I'mTrapped, Q : singleEntryForThisVariable = 0.274487587583
+N : -10.5, L : 0, M : o, O : I'mTrapped, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 0, M : o, O : I'mTrapped, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 1, M : o, O : I'mTrapped, Q : singleEntryForThisVariable = 0.0
+N : 1.34, L : 1, M : o, O : I'mTrapped, Q : singleEntryForThisVariable = 1.0
+N : -10.5, L : 2, M : o, O : I'mTrapped, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 2, M : o, O : I'mTrapped, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 0, M : l, O : InaBayesNet, Q : singleEntryForThisVariable = 0.493094921153
+N : 1.34, L : 0, M : l, O : InaBayesNet, Q : singleEntryForThisVariable = 0.506905078847
+N : -10.5, L : 1, M : l, O : InaBayesNet, Q : singleEntryForThisVariable = 0.523625423199
+N : 1.34, L : 1, M : l, O : InaBayesNet, Q : singleEntryForThisVariable = 0.476374576801
+N : -10.5, L : 2, M : l, O : InaBayesNet, Q : singleEntryForThisVariable = 0.689328687923
+N : 1.34, L : 2, M : l, O : InaBayesNet, Q : singleEntryForThisVariable = 0.310671312077
+N : -10.5, L : 0, M : m, O : InaBayesNet, Q : singleEntryForThisVariable = 0.558218637529
+N : 1.34, L : 0, M : m, O : InaBayesNet, Q : singleEntryForThisVariable = 0.441781362471
+N : -10.5, L : 1, M : m, O : InaBayesNet, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 1, M : m, O : InaBayesNet, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 2, M : m, O : InaBayesNet, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 2, M : m, O : InaBayesNet, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 0, M : n, O : InaBayesNet, Q : singleEntryForThisVariable = 0.0
+N : 1.34, L : 0, M : n, O : InaBayesNet, Q : singleEntryForThisVariable = 1.0
+N : -10.5, L : 1, M : n, O : InaBayesNet, Q : singleEntryForThisVariable = 0.353605537659
+N : 1.34, L : 1, M : n, O : InaBayesNet, Q : singleEntryForThisVariable = 0.646394462341
+N : -10.5, L : 2, M : n, O : InaBayesNet, Q : singleEntryForThisVariable = 0.202713785549
+N : 1.34, L : 2, M : n, O : InaBayesNet, Q : singleEntryForThisVariable = 0.797286214451
+N : -10.5, L : 0, M : o, O : InaBayesNet, Q : singleEntryForThisVariable = 0.140922395709
+N : 1.34, L : 0, M : o, O : InaBayesNet, Q : singleEntryForThisVariable = 0.859077604291
+N : -10.5, L : 1, M : o, O : InaBayesNet, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 1, M : o, O : InaBayesNet, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 2, M : o, O : InaBayesNet, Q : singleEntryForThisVariable = 0.724336536883
+N : 1.34, L : 2, M : o, O : InaBayesNet, Q : singleEntryForThisVariable = 0.275663463117
+"""
+
diff --git a/tracking/test_cases/q2/6-product-rule-nonsingleton-var.solution b/tracking/test_cases/q2/6-product-rule-nonsingleton-var.solution
new file mode 100644
index 0000000..c91dc6c
--- /dev/null
+++ b/tracking/test_cases/q2/6-product-rule-nonsingleton-var.solution
@@ -0,0 +1,18 @@
+# This is the solution file for test_cases/q3/6-product-rule-nonsingleton-var.test.
+variableDomainsDict: """
+D0 : wet dry
+W0 : sun rain
+"""
+
+unconditionedVariables: "D0 W0"
+
+conditionedVariables: ""
+
+FactorTable: """
+D0 : wet, W0 : sun = 0.08
+D0 : dry, W0 : sun = 0.72
+D0 : wet, W0 : rain = 0.14
+D0 : dry, W0 : rain = 0.06
+"""
+
+
diff --git a/tracking/test_cases/q2/6-product-rule-nonsingleton-var.test b/tracking/test_cases/q2/6-product-rule-nonsingleton-var.test
new file mode 100644
index 0000000..fafc8d0
--- /dev/null
+++ b/tracking/test_cases/q2/6-product-rule-nonsingleton-var.test
@@ -0,0 +1,36 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "joinFactors"
+factorArgs: "A B"
+seed: "cs188"
+constructRandomly: "False"
+
+
+variableDomainsDict: """
+W0 : sun rain
+D0 : wet dry
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "D0"
+
+AconditionedVariables: "W0"
+
+AFactorTable: """
+D0 : wet, W0 : sun = 0.1
+D0 : dry, W0 : sun = 0.9
+D0 : wet, W0 : rain = 0.7
+D0 : dry, W0 : rain = 0.3
+"""
+
+
+BunconditionedVariables: "W0"
+
+BconditionedVariables: ""
+
+BFactorTable: """
+W0 : sun = 0.8
+W0 : rain = 0.2
+"""
+
diff --git a/tracking/test_cases/q2/CONFIG b/tracking/test_cases/q2/CONFIG
new file mode 100644
index 0000000..acf6ab1
--- /dev/null
+++ b/tracking/test_cases/q2/CONFIG
@@ -0,0 +1,2 @@
+max_points: "3"
+class: "PassAllTestsQuestion"
diff --git a/tracking/test_cases/q3/1-simple-eliminate.solution b/tracking/test_cases/q3/1-simple-eliminate.solution
new file mode 100644
index 0000000..d0b4546
--- /dev/null
+++ b/tracking/test_cases/q3/1-simple-eliminate.solution
@@ -0,0 +1,16 @@
+# This is the solution file for test_cases/q4/1-simple-eliminate.test.
+variableDomainsDict: """
+D : wet dry
+W : sun rain
+"""
+
+unconditionedVariables: "D"
+
+conditionedVariables: ""
+
+FactorTable: """
+D : wet = 0.22
+D : dry = 0.78
+"""
+
+
diff --git a/tracking/test_cases/q3/1-simple-eliminate.test b/tracking/test_cases/q3/1-simple-eliminate.test
new file mode 100644
index 0000000..b26d53d
--- /dev/null
+++ b/tracking/test_cases/q3/1-simple-eliminate.test
@@ -0,0 +1,26 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "eliminate"
+factorArgs: "A"
+eliminateVariable: "W"
+seed: "cs188"
+constructRandomly: "False"
+
+variableDomainsDict: """
+W : sun rain
+D : wet dry
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "D W"
+
+AconditionedVariables: ""
+
+AFactorTable: """
+D : wet, W : sun = 0.08
+D : dry, W : sun = 0.72
+D : wet, W : rain = 0.14
+D : dry, W : rain = 0.06
+"""
+
diff --git a/tracking/test_cases/q3/2-simple-eliminate-extended.solution b/tracking/test_cases/q3/2-simple-eliminate-extended.solution
new file mode 100644
index 0000000..ca8e6ed
--- /dev/null
+++ b/tracking/test_cases/q3/2-simple-eliminate-extended.solution
@@ -0,0 +1,19 @@
+# This is the solution file for test_cases/q4/2-simple-eliminate-extended.test.
+variableDomainsDict: """
+D : wet dry
+W : sun rain
+T : hot cold
+"""
+
+unconditionedVariables: "D W"
+
+conditionedVariables: ""
+
+FactorTable: """
+D : wet, W : sun = 0.08
+D : dry, W : sun = 0.72
+D : wet, W : rain = 0.14
+D : dry, W : rain = 0.06
+"""
+
+
diff --git a/tracking/test_cases/q3/2-simple-eliminate-extended.test b/tracking/test_cases/q3/2-simple-eliminate-extended.test
new file mode 100644
index 0000000..d4016e6
--- /dev/null
+++ b/tracking/test_cases/q3/2-simple-eliminate-extended.test
@@ -0,0 +1,31 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "eliminate"
+factorArgs: "A"
+eliminateVariable: "T"
+seed: "cs188"
+constructRandomly: "False"
+
+variableDomainsDict: """
+W : sun rain
+D : wet dry
+T : hot cold
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "D W T"
+
+AconditionedVariables: ""
+
+AFactorTable: """
+D : wet, W : sun, T : hot = 0.06
+D : dry, W : sun, T : hot = 0.54
+D : wet, W : rain, T : hot = 0.014
+D : dry, W : rain, T : hot = 0.006
+D : wet, W : sun, T : cold = 0.02
+D : dry, W : sun, T : cold = 0.18
+D : wet, W : rain, T : cold = 0.126
+D : dry, W : rain, T : cold = 0.054
+"""
+
diff --git a/tracking/test_cases/q3/3-eliminate-conditioned.solution b/tracking/test_cases/q3/3-eliminate-conditioned.solution
new file mode 100644
index 0000000..8fdaeaa
--- /dev/null
+++ b/tracking/test_cases/q3/3-eliminate-conditioned.solution
@@ -0,0 +1,24 @@
+# This is the solution file for test_cases/q4/3-eliminate-conditioned.test.
+variableDomainsDict: """
+B : wind breeze still
+D : wet dry
+W : sun rain
+T : hot cold
+"""
+
+unconditionedVariables: "T W"
+
+conditionedVariables: "D"
+
+FactorTable: """
+T : hot, W : sun, D : wet = 0.431065918609
+T : cold, W : sun, D : wet = 0.1564538411
+T : hot, W : rain, D : wet = 0.293368134088
+T : cold, W : rain, D : wet = 0.119112106203
+T : hot, W : sun, D : dry = 0.332991751449
+T : cold, W : sun, D : dry = 0.0355009323002
+T : hot, W : rain, D : dry = 0.33724755396
+T : cold, W : rain, D : dry = 0.29425976229
+"""
+
+
diff --git a/tracking/test_cases/q3/3-eliminate-conditioned.test b/tracking/test_cases/q3/3-eliminate-conditioned.test
new file mode 100644
index 0000000..f5d6602
--- /dev/null
+++ b/tracking/test_cases/q3/3-eliminate-conditioned.test
@@ -0,0 +1,48 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "eliminate"
+factorArgs: "A"
+eliminateVariable: "B"
+seed: "cs188"
+constructRandomly: "False"
+
+variableDomainsDict: """
+W : sun rain
+D : wet dry
+T : hot cold
+B : wind breeze still
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "B T W"
+
+AconditionedVariables: "D"
+
+AFactorTable: """
+B : wind, W : sun, T : hot, D : wet = 0.258330124403
+B : breeze, W : sun, T : hot, D : wet = 0.172735794206
+B : still, W : sun, T : hot, D : wet = 0.0
+B : wind, W : rain, T : hot, D : wet = 0.0377614688681
+B : breeze, W : rain, T : hot, D : wet = 0.0638957615356
+B : still, W : rain, T : hot, D : wet = 0.191710903684
+B : wind, W : sun, T : cold, D : wet = 0.104734692091
+B : breeze, W : sun, T : cold, D : wet = 0.0125717596017
+B : still, W : sun, T : cold, D : wet = 0.0391473894072
+B : wind, W : rain, T : cold, D : wet = 0.0
+B : breeze, W : rain, T : cold, D : wet = 0.0667905852913
+B : still, W : rain, T : cold, D : wet = 0.0523215209113
+B : wind, W : sun, T : hot, D : dry = 0.159661284861
+B : breeze, W : sun, T : hot, D : dry = 0.110637840267
+B : still, W : sun, T : hot, D : dry = 0.062692626321
+B : wind, W : rain, T : hot, D : dry = 0.062484977125
+B : breeze, W : rain, T : hot, D : dry = 0.144114059443
+B : still, W : rain, T : hot, D : dry = 0.130648517392
+B : wind, W : sun, T : cold, D : dry = 0.0
+B : breeze, W : sun, T : cold, D : dry = 0.0355009323002
+B : still, W : sun, T : cold, D : dry = 0.0
+B : wind, W : rain, T : cold, D : dry = 0.048394873988
+B : breeze, W : rain, T : cold, D : dry = 0.131361951232
+B : still, W : rain, T : cold, D : dry = 0.11450293707
+"""
+
diff --git a/tracking/test_cases/q3/4-grade-eliminate.solution b/tracking/test_cases/q3/4-grade-eliminate.solution
new file mode 100644
index 0000000..94bfb23
--- /dev/null
+++ b/tracking/test_cases/q3/4-grade-eliminate.solution
@@ -0,0 +1,49 @@
+# This is the solution file for test_cases/q4/4-grade-eliminate.test.
+variableDomainsDict: """
+Q1 : myNameHasMoreThanOneLetter
+N1 : -10.5 1.34
+M1 : l m n o
+O1 : help! me! I'mTrapped InaBayesNet
+L1 : 0 1 2
+"""
+
+unconditionedVariables: "M1 O1"
+
+conditionedVariables: "Q1 N1"
+
+FactorTable: """
+M1 : l, O1 : help!, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0918451910646
+M1 : m, O1 : help!, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.09487126356
+M1 : n, O1 : help!, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0745326322505
+M1 : o, O1 : help!, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.100412148969
+M1 : l, O1 : me!, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0289208258847
+M1 : m, O1 : me!, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0425356205129
+M1 : n, O1 : me!, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0863153129512
+M1 : o, O1 : me!, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0045288246707
+M1 : l, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0502529560694
+M1 : m, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0630011671224
+M1 : n, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0632139656087
+M1 : o, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0189507724124
+M1 : l, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0749611903954
+M1 : m, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0845756398368
+M1 : n, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0466425675865
+M1 : o, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0744399211048
+M1 : l, O1 : help!, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0371283421858
+M1 : m, O1 : help!, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0309365833611
+M1 : n, O1 : help!, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0808781051773
+M1 : o, O1 : help!, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0286955712353
+M1 : l, O1 : me!, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.070510433244
+M1 : m, O1 : me!, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0608019238205
+M1 : n, O1 : me!, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0816543942416
+M1 : o, O1 : me!, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0885972000872
+M1 : l, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0874036845943
+M1 : m, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0535472077254
+M1 : n, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0302095703475
+M1 : o, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0540061262374
+M1 : l, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0644988264685
+M1 : m, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0477258546637
+M1 : n, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0974141257874
+M1 : o, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0859920508231
+"""
+
+
diff --git a/tracking/test_cases/q3/4-grade-eliminate.test b/tracking/test_cases/q3/4-grade-eliminate.test
new file mode 100644
index 0000000..5eb6d74
--- /dev/null
+++ b/tracking/test_cases/q3/4-grade-eliminate.test
@@ -0,0 +1,122 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "eliminate"
+factorArgs: "A"
+eliminateVariable: "L1"
+seed: "cs188"
+constructRandomly: "False"
+
+
+variableDomainsDict: """
+L1 : 0 1 2
+M1 : l m n o
+N1 : -10.5 1.34
+O1 : help! me! I'mTrapped InaBayesNet
+Q1 : myNameHasMoreThanOneLetter
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "M1 O1 L1"
+
+AconditionedVariables: "Q1 N1"
+
+AFactorTable: """
+L1 : 0, M1 : l, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0447769827421
+L1 : 1, M1 : l, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0335548259369
+L1 : 2, M1 : l, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0135133823856
+L1 : 0, M1 : m, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0299407113048
+L1 : 1, M1 : m, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0190137493524
+L1 : 2, M1 : m, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0459168029028
+L1 : 0, M1 : n, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : n, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0481229169727
+L1 : 2, M1 : n, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0264097152778
+L1 : 0, M1 : o, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0484229139817
+L1 : 1, M1 : o, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.00296557788646
+L1 : 2, M1 : o, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0490236571006
+L1 : 0, M1 : l, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0181539164706
+L1 : 1, M1 : l, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0107669094141
+L1 : 2, M1 : l, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 0, M1 : m, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.00217909337527
+L1 : 1, M1 : m, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : m, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0403565271376
+L1 : 0, M1 : n, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.00678551130624
+L1 : 1, M1 : n, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0305996504641
+L1 : 2, M1 : n, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0489301511809
+L1 : 0, M1 : o, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : o, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : o, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0045288246707
+L1 : 0, M1 : l, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.00654528636072
+L1 : 1, M1 : l, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0437076697087
+L1 : 2, M1 : l, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 0, M1 : m, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0110752062624
+L1 : 1, M1 : m, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0396237693127
+L1 : 2, M1 : m, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0123021915473
+L1 : 0, M1 : n, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0332297127389
+L1 : 1, M1 : n, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0299842528698
+L1 : 2, M1 : n, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 0, M1 : o, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0189507724124
+L1 : 1, M1 : o, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : o, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 0, M1 : l, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : l, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.039840143279
+L1 : 2, M1 : l, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0351210471164
+L1 : 0, M1 : m, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0115769730372
+L1 : 1, M1 : m, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0347270528183
+L1 : 2, M1 : m, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0382716139813
+L1 : 0, M1 : n, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0090690152544
+L1 : 1, M1 : n, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.00799625915824
+L1 : 2, M1 : n, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0295772931739
+L1 : 0, M1 : o, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0146774518464
+L1 : 1, M1 : o, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.013443479893
+L1 : 2, M1 : o, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0463189893654
+L1 : 0, M1 : l, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.00746874052442
+L1 : 1, M1 : l, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0170706440325
+L1 : 2, M1 : l, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0125889576289
+L1 : 0, M1 : m, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.024671121071
+L1 : 1, M1 : m, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.00626546229009
+L1 : 2, M1 : m, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 0, M1 : n, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0246502130155
+L1 : 1, M1 : n, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0434087985544
+L1 : 2, M1 : n, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0128190936074
+L1 : 0, M1 : o, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0242600514229
+L1 : 1, M1 : o, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0038706658879
+L1 : 2, M1 : o, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.000564853924528
+L1 : 0, M1 : l, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0411575250006
+L1 : 1, M1 : l, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : l, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0293529082434
+L1 : 0, M1 : m, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0165362781706
+L1 : 1, M1 : m, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.026525369977
+L1 : 2, M1 : m, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0177402756729
+L1 : 0, M1 : n, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0488609903771
+L1 : 1, M1 : n, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0072654289765
+L1 : 2, M1 : n, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.025527974888
+L1 : 0, M1 : o, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0391811589986
+L1 : 1, M1 : o, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : o, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0494160410886
+L1 : 0, M1 : l, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0552756677955
+L1 : 1, M1 : l, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : l, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0321280167988
+L1 : 0, M1 : m, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : m, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.005603470804
+L1 : 2, M1 : m, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0479437369214
+L1 : 0, M1 : n, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : n, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : n, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0302095703475
+L1 : 0, M1 : o, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0227207214722
+L1 : 1, M1 : o, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0161232920219
+L1 : 2, M1 : o, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0151621127433
+L1 : 0, M1 : l, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : l, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0101119740519
+L1 : 2, M1 : l, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0543868524166
+L1 : 0, M1 : m, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : m, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0379246424001
+L1 : 2, M1 : m, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.00980121226356
+L1 : 0, M1 : n, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : n, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0484577738418
+L1 : 2, M1 : n, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0489563519456
+L1 : 0, M1 : o, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0411582588411
+L1 : 1, M1 : o, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : o, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.044833791982
+"""
+
diff --git a/tracking/test_cases/q3/5-simple-eliminate-nonsingleton-var.solution b/tracking/test_cases/q3/5-simple-eliminate-nonsingleton-var.solution
new file mode 100644
index 0000000..b710481
--- /dev/null
+++ b/tracking/test_cases/q3/5-simple-eliminate-nonsingleton-var.solution
@@ -0,0 +1,16 @@
+# This is the solution file for test_cases/q4/5-simple-eliminate-nonsingleton-var.test.
+variableDomainsDict: """
+D0 : wet dry
+W0 : sun rain
+"""
+
+unconditionedVariables: "D0"
+
+conditionedVariables: ""
+
+FactorTable: """
+D0 : wet = 0.22
+D0 : dry = 0.78
+"""
+
+
diff --git a/tracking/test_cases/q3/5-simple-eliminate-nonsingleton-var.test b/tracking/test_cases/q3/5-simple-eliminate-nonsingleton-var.test
new file mode 100644
index 0000000..fe0815d
--- /dev/null
+++ b/tracking/test_cases/q3/5-simple-eliminate-nonsingleton-var.test
@@ -0,0 +1,26 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "eliminate"
+factorArgs: "A"
+eliminateVariable: "W0"
+seed: "cs188"
+constructRandomly: "False"
+
+variableDomainsDict: """
+W0 : sun rain
+D0 : wet dry
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "D0 W0"
+
+AconditionedVariables: ""
+
+AFactorTable: """
+D0 : wet, W0 : sun = 0.08
+D0 : dry, W0 : sun = 0.72
+D0 : wet, W0 : rain = 0.14
+D0 : dry, W0 : rain = 0.06
+"""
+
diff --git a/tracking/test_cases/q3/6-simple-eliminate-int.solution b/tracking/test_cases/q3/6-simple-eliminate-int.solution
new file mode 100644
index 0000000..33b91b6
--- /dev/null
+++ b/tracking/test_cases/q3/6-simple-eliminate-int.solution
@@ -0,0 +1,16 @@
+# This is the solution file for test_cases/q4/6-simple-eliminate-int.test.
+variableDomainsDict: """
+D : wet dry
+W : sun rain
+"""
+
+unconditionedVariables: "D"
+
+conditionedVariables: ""
+
+FactorTable: """
+D : wet = 2.0
+D : dry = 0.0
+"""
+
+
diff --git a/tracking/test_cases/q3/6-simple-eliminate-int.test b/tracking/test_cases/q3/6-simple-eliminate-int.test
new file mode 100644
index 0000000..1835e0c
--- /dev/null
+++ b/tracking/test_cases/q3/6-simple-eliminate-int.test
@@ -0,0 +1,26 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "eliminate"
+factorArgs: "A"
+eliminateVariable: "W"
+seed: "cs188"
+constructRandomly: "False"
+
+variableDomainsDict: """
+W : sun rain
+D : wet dry
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "D W"
+
+AconditionedVariables: ""
+
+AFactorTable: """
+D : wet, W : sun = 1.0
+D : dry, W : sun = 0.0
+D : wet, W : rain = 1.0
+D : dry, W : rain = 0.0
+"""
+
diff --git a/tracking/test_cases/q3/CONFIG b/tracking/test_cases/q3/CONFIG
new file mode 100644
index 0000000..3bf6a8c
--- /dev/null
+++ b/tracking/test_cases/q3/CONFIG
@@ -0,0 +1,2 @@
+max_points: "2"
+class: "PassAllTestsQuestion"
diff --git a/tracking/test_cases/q4/1-disconnected-eliminate.solution b/tracking/test_cases/q4/1-disconnected-eliminate.solution
new file mode 100644
index 0000000..5053ffe
--- /dev/null
+++ b/tracking/test_cases/q4/1-disconnected-eliminate.solution
@@ -0,0 +1,18 @@
+# This is the solution file for test_cases/q6/1-disconnected-eliminate.test.
+variableDomainsDict: """
+D : dry wet
+W : sun
+T : hot cold
+"""
+
+unconditionedVariables: "D"
+
+conditionedVariables: "W"
+
+FactorTable: """
+D : dry, W : sun = 0.9
+D : wet, W : sun = 0.1
+"""
+
+
+callTrackingList: "[('join', 'T')]"
diff --git a/tracking/test_cases/q4/1-disconnected-eliminate.test b/tracking/test_cases/q4/1-disconnected-eliminate.test
new file mode 100644
index 0000000..1759f92
--- /dev/null
+++ b/tracking/test_cases/q4/1-disconnected-eliminate.test
@@ -0,0 +1,66 @@
+class: "BayesNetInputFactorEqualityTest"
+max_points: "4"
+alg: "inferenceByVariableElimination"
+seed: "cs188"
+constructRandomly: "False"
+
+variables: """
+W
+D
+T
+"""
+
+edges: """
+W D
+W T
+"""
+
+variableDomainsDict: """
+W : sun rain
+D : dry wet
+T : hot cold
+"""
+
+queryVariables: "D"
+
+evidenceDict: """
+W : sun
+"""
+
+variableEliminationOrder: "T"
+
+# endOfNonFactors
+
+DunconditionedVariables: "D"
+
+DconditionedVariables: "W"
+
+DFactorTable: """
+D : dry, W : sun = 0.9
+D : wet, W : sun = 0.1
+D : dry, W : rain = 0.3
+D : wet, W : rain = 0.7
+"""
+
+
+WunconditionedVariables: "W"
+
+WconditionedVariables: ""
+
+WFactorTable: """
+W : sun = 0.8
+W : rain = 0.2
+"""
+
+
+TunconditionedVariables: "T"
+
+TconditionedVariables: "W"
+
+TFactorTable: """
+T : hot, W : sun = 0.75
+T : cold, W : sun = 0.25
+T : hot, W : rain = 0.1
+T : cold, W : rain = 0.9
+"""
+
diff --git a/tracking/test_cases/q4/2-independent-eliminate.solution b/tracking/test_cases/q4/2-independent-eliminate.solution
new file mode 100644
index 0000000..ff6d40e
--- /dev/null
+++ b/tracking/test_cases/q4/2-independent-eliminate.solution
@@ -0,0 +1,18 @@
+# This is the solution file for test_cases/q6/2-independent-eliminate.test.
+variableDomainsDict: """
+D : dry wet
+W : sun rain
+T : hot cold
+"""
+
+unconditionedVariables: "W"
+
+conditionedVariables: ""
+
+FactorTable: """
+W : sun = 0.8
+W : rain = 0.2
+"""
+
+
+callTrackingList: "[('join', 'T'), ('eliminate', 'T'), ('join', 'D')]"
diff --git a/tracking/test_cases/q4/2-independent-eliminate.test b/tracking/test_cases/q4/2-independent-eliminate.test
new file mode 100644
index 0000000..40b6799
--- /dev/null
+++ b/tracking/test_cases/q4/2-independent-eliminate.test
@@ -0,0 +1,68 @@
+class: "BayesNetInputFactorEqualityTest"
+max_points: "4"
+alg: "inferenceByVariableElimination"
+seed: "cs188"
+constructRandomly: "False"
+
+variables: """
+W
+D
+T
+"""
+
+edges: """
+W D
+T D
+"""
+
+variableDomainsDict: """
+W : sun rain
+D : dry wet
+T : hot cold
+"""
+
+queryVariables: "W"
+
+variableEliminationOrder: "T D"
+
+evidenceDict: """
+
+"""
+
+# endOfNonFactors
+
+DunconditionedVariables: "D"
+
+DconditionedVariables: "T W"
+
+DFactorTable: """
+D : dry, T : hot, W : sun = 0.9
+D : wet, T : hot, W : sun = 0.1
+D : dry, T : cold, W : sun = 0.8
+D : wet, T : cold, W : sun = 0.2
+D : dry, T : hot, W : rain = 0.5
+D : wet, T : hot, W : rain = 0.5
+D : dry, T : cold, W : rain = 0.3
+D : wet, T : cold, W : rain = 0.7
+"""
+
+
+WunconditionedVariables: "W"
+
+WconditionedVariables: ""
+
+WFactorTable: """
+W : sun = 0.8
+W : rain = 0.2
+"""
+
+
+TunconditionedVariables: "T"
+
+TconditionedVariables: ""
+
+TFactorTable: """
+T : hot = 0.75
+T : cold = 0.25
+"""
+
diff --git a/tracking/test_cases/q4/3-independent-eliminate-extended.solution b/tracking/test_cases/q4/3-independent-eliminate-extended.solution
new file mode 100644
index 0000000..29d27f8
--- /dev/null
+++ b/tracking/test_cases/q4/3-independent-eliminate-extended.solution
@@ -0,0 +1,19 @@
+# This is the solution file for test_cases/q6/3-independent-eliminate-extended.test.
+variableDomainsDict: """
+S : slippery rough
+D : dry wet
+W : sun rain
+T : hot
+"""
+
+unconditionedVariables: "W"
+
+conditionedVariables: "T"
+
+FactorTable: """
+W : sun, T : hot = 0.8
+W : rain, T : hot = 0.2
+"""
+
+
+callTrackingList: "[('join', 'S'), ('join', 'D')]"
diff --git a/tracking/test_cases/q4/3-independent-eliminate-extended.test b/tracking/test_cases/q4/3-independent-eliminate-extended.test
new file mode 100644
index 0000000..11578d5
--- /dev/null
+++ b/tracking/test_cases/q4/3-independent-eliminate-extended.test
@@ -0,0 +1,83 @@
+class: "BayesNetInputFactorEqualityTest"
+max_points: "4"
+alg: "inferenceByVariableElimination"
+seed: "cs188"
+constructRandomly: "False"
+
+variables: """
+W
+D
+T
+S
+"""
+
+edges: """
+W D
+T D
+D S
+"""
+
+variableDomainsDict: """
+W : sun rain
+D : dry wet
+T : hot cold
+S : slippery rough
+"""
+
+queryVariables: "W"
+
+variableEliminationOrder: "S D"
+
+evidenceDict: """
+T : hot
+"""
+
+# endOfNonFactors
+
+SunconditionedVariables: "S"
+
+SconditionedVariables: "D"
+
+SFactorTable: """
+S : slippery, D : dry = 0.1
+S : rough, D : dry = 0.9
+S : slippery, D : wet = 0.5
+S : rough, D : wet = 0.5
+"""
+
+
+DunconditionedVariables: "D"
+
+DconditionedVariables: "T W"
+
+DFactorTable: """
+D : dry, T : hot, W : sun = 0.9
+D : wet, T : hot, W : sun = 0.1
+D : dry, T : cold, W : sun = 0.8
+D : wet, T : cold, W : sun = 0.2
+D : dry, T : hot, W : rain = 0.5
+D : wet, T : hot, W : rain = 0.5
+D : dry, T : cold, W : rain = 0.3
+D : wet, T : cold, W : rain = 0.7
+"""
+
+
+WunconditionedVariables: "W"
+
+WconditionedVariables: ""
+
+WFactorTable: """
+W : sun = 0.8
+W : rain = 0.2
+"""
+
+
+TunconditionedVariables: "T"
+
+TconditionedVariables: ""
+
+TFactorTable: """
+T : hot = 0.75
+T : cold = 0.25
+"""
+
diff --git a/tracking/test_cases/q4/4-common-effect-eliminate.solution b/tracking/test_cases/q4/4-common-effect-eliminate.solution
new file mode 100644
index 0000000..68e4fbe
--- /dev/null
+++ b/tracking/test_cases/q4/4-common-effect-eliminate.solution
@@ -0,0 +1,19 @@
+# This is the solution file for test_cases/q6/4-common-effect-eliminate.test.
+variableDomainsDict: """
+S : slippery
+D : dry wet
+W : sun rain
+T : hot cold
+"""
+
+unconditionedVariables: "W"
+
+conditionedVariables: "S"
+
+FactorTable: """
+W : sun, S : slippery = 0.652173913043
+W : rain, S : slippery = 0.347826086957
+"""
+
+
+callTrackingList: "[('join', 'T'), ('eliminate', 'T'), ('join', 'D'), ('eliminate', 'D')]"
diff --git a/tracking/test_cases/q4/4-common-effect-eliminate.test b/tracking/test_cases/q4/4-common-effect-eliminate.test
new file mode 100644
index 0000000..2f28eb9
--- /dev/null
+++ b/tracking/test_cases/q4/4-common-effect-eliminate.test
@@ -0,0 +1,83 @@
+class: "BayesNetInputFactorEqualityTest"
+max_points: "4"
+alg: "inferenceByVariableElimination"
+seed: "cs188"
+constructRandomly: "False"
+
+variables: """
+W
+D
+T
+S
+"""
+
+edges: """
+W D
+T D
+D S
+"""
+
+variableDomainsDict: """
+W : sun rain
+D : dry wet
+T : hot cold
+S : slippery rough
+"""
+
+queryVariables: "W"
+
+variableEliminationOrder: "T D"
+
+evidenceDict: """
+S : slippery
+"""
+
+# endOfNonFactors
+
+SunconditionedVariables: "S"
+
+SconditionedVariables: "D"
+
+SFactorTable: """
+S : slippery, D : dry = 0.1
+S : rough, D : dry = 0.9
+S : slippery, D : wet = 0.5
+S : rough, D : wet = 0.5
+"""
+
+
+DunconditionedVariables: "D"
+
+DconditionedVariables: "T W"
+
+DFactorTable: """
+D : dry, T : hot, W : sun = 0.9
+D : wet, T : hot, W : sun = 0.1
+D : dry, T : cold, W : sun = 0.8
+D : wet, T : cold, W : sun = 0.2
+D : dry, T : hot, W : rain = 0.5
+D : wet, T : hot, W : rain = 0.5
+D : dry, T : cold, W : rain = 0.3
+D : wet, T : cold, W : rain = 0.7
+"""
+
+
+WunconditionedVariables: "W"
+
+WconditionedVariables: ""
+
+WFactorTable: """
+W : sun = 0.8
+W : rain = 0.2
+"""
+
+
+TunconditionedVariables: "T"
+
+TconditionedVariables: ""
+
+TFactorTable: """
+T : hot = 0.75
+T : cold = 0.25
+"""
+
diff --git a/tracking/test_cases/q4/5-grade-var-elim.solution b/tracking/test_cases/q4/5-grade-var-elim.solution
new file mode 100644
index 0000000..f56a757
--- /dev/null
+++ b/tracking/test_cases/q4/5-grade-var-elim.solution
@@ -0,0 +1,21 @@
+# This is the solution file for test_cases/q6/5-grade-var-elim.test.
+variableDomainsDict: """
+A : 0 1 2
+C : -10.5 1.34
+B : m
+E : singleEntryForThisVariable
+D : help! me! I'mTrapped InaBayesNet
+"""
+
+unconditionedVariables: "A"
+
+conditionedVariables: "B"
+
+FactorTable: """
+A : 0, B : m = 0.516311327629
+A : 1, B : m = 0.387878666494
+A : 2, B : m = 0.0958100058765
+"""
+
+
+callTrackingList: "[('join', 'C'), ('join', 'D'), ('join', 'E')]"
diff --git a/tracking/test_cases/q4/5-grade-var-elim.test b/tracking/test_cases/q4/5-grade-var-elim.test
new file mode 100644
index 0000000..87b9d62
--- /dev/null
+++ b/tracking/test_cases/q4/5-grade-var-elim.test
@@ -0,0 +1,121 @@
+class: "BayesNetInputFactorEqualityTest"
+max_points: "4"
+alg: "inferenceByVariableElimination"
+seed: "cs188"
+constructRandomly: "False"
+
+variables: """
+A
+B
+C
+D
+E
+"""
+
+edges: """
+A B
+B C
+A C
+"""
+
+variableDomainsDict: """
+A : 0 1 2
+B : l m n o
+C : -10.5 1.34
+D : help! me! I'mTrapped InaBayesNet
+E : singleEntryForThisVariable
+"""
+
+queryVariables: "A"
+
+evidenceDict: """
+B : m
+"""
+
+variableEliminationOrder: "C D E"
+
+# endOfNonFactors
+
+AunconditionedVariables: "A"
+
+AconditionedVariables: ""
+
+AFactorTable: """
+A : 0 = 0.644493971172
+A : 1 = 0.261296965582
+A : 2 = 0.0942090632453
+"""
+
+
+CunconditionedVariables: "C"
+
+CconditionedVariables: "A B"
+
+CFactorTable: """
+C : -10.5, A : 0, B : l = 0.0
+C : 1.34, A : 0, B : l = 1.0
+C : -10.5, A : 1, B : l = 0.157744145568
+C : 1.34, A : 1, B : l = 0.842255854432
+C : -10.5, A : 2, B : l = 0.676933020022
+C : 1.34, A : 2, B : l = 0.323066979978
+C : -10.5, A : 0, B : m = 0.164406527303
+C : 1.34, A : 0, B : m = 0.835593472697
+C : -10.5, A : 1, B : m = 0.0
+C : 1.34, A : 1, B : m = 1.0
+C : -10.5, A : 2, B : m = 0.0
+C : 1.34, A : 2, B : m = 1.0
+C : -10.5, A : 0, B : n = 1.0
+C : 1.34, A : 0, B : n = 0.0
+C : -10.5, A : 1, B : n = 0.304307665342
+C : 1.34, A : 1, B : n = 0.695692334658
+C : -10.5, A : 2, B : n = 0.419155889929
+C : 1.34, A : 2, B : n = 0.580844110071
+C : -10.5, A : 0, B : o = 0.169573242888
+C : 1.34, A : 0, B : o = 0.830426757112
+C : -10.5, A : 1, B : o = 0.19765016247
+C : 1.34, A : 1, B : o = 0.80234983753
+C : -10.5, A : 2, B : o = 0.505078886969
+C : 1.34, A : 2, B : o = 0.494921113031
+"""
+
+
+BunconditionedVariables: "B"
+
+BconditionedVariables: "A"
+
+BFactorTable: """
+B : l, A : 0 = 0.729463421654
+B : m, A : 0 = 0.270536578346
+B : n, A : 0 = 0.0
+B : o, A : 0 = 0.0
+B : l, A : 1 = 0.498703437888
+B : m, A : 1 = 0.501296562112
+B : n, A : 1 = 0.0
+B : o, A : 1 = 0.0
+B : l, A : 2 = 0.262692210105
+B : m, A : 2 = 0.343440399016
+B : n, A : 2 = 0.301851629618
+B : o, A : 2 = 0.0920157612613
+"""
+
+
+EunconditionedVariables: "E"
+
+EconditionedVariables: ""
+
+EFactorTable: """
+E : singleEntryForThisVariable = 1.0
+"""
+
+
+DunconditionedVariables: "D"
+
+DconditionedVariables: ""
+
+DFactorTable: """
+D : help! = 0.251719693616
+D : me! = 0.466369384686
+D : I'mTrapped = 0.0
+D : InaBayesNet = 0.281910921698
+"""
+
diff --git a/tracking/test_cases/q4/6-large-bayesNet-elim.solution b/tracking/test_cases/q4/6-large-bayesNet-elim.solution
new file mode 100644
index 0000000..ceb9cba
--- /dev/null
+++ b/tracking/test_cases/q4/6-large-bayesNet-elim.solution
@@ -0,0 +1,38 @@
+# This is the solution file for test_cases/q6/6-large-bayesNet-elim.test.
+variableDomainsDict: """
+X1 : 0 1
+Y1 : water
+Y8 : ice
+Y5 : water
+Z : evil good indifferent
+Y10 : ice
+Y4 : ice
+Y9 : water
+X10 : 0 1
+X8 : 0 1
+X9 : 0 1
+Y7 : water
+Y6 : ice
+X2 : 0 1
+X3 : 0 1
+Y3 : water
+Y2 : ice
+X6 : 0 1
+X7 : 0 1
+X4 : 0 1
+X5 : 0 1
+"""
+
+unconditionedVariables: "X2 X1"
+
+conditionedVariables: "Y4 Y9 Y8 Y1 Y3 Y2 Y5 Y10 Y7 Y6"
+
+FactorTable: """
+X1 : 0, X2 : 0, Y10 : ice, Y9 : water, Y8 : ice, Y1 : water, Y3 : water, Y2 : ice, Y5 : water, Y4 : ice, Y7 : water, Y6 : ice = 1.0
+X1 : 1, X2 : 0, Y10 : ice, Y9 : water, Y8 : ice, Y1 : water, Y3 : water, Y2 : ice, Y5 : water, Y4 : ice, Y7 : water, Y6 : ice = 0.0
+X1 : 0, X2 : 1, Y10 : ice, Y9 : water, Y8 : ice, Y1 : water, Y3 : water, Y2 : ice, Y5 : water, Y4 : ice, Y7 : water, Y6 : ice = 0.0
+X1 : 1, X2 : 1, Y10 : ice, Y9 : water, Y8 : ice, Y1 : water, Y3 : water, Y2 : ice, Y5 : water, Y4 : ice, Y7 : water, Y6 : ice = 0.0
+"""
+
+
+callTrackingList: "[('join', 'X3'), ('eliminate', 'X3'), ('join', 'X4'), ('eliminate', 'X4'), ('join', 'X5'), ('eliminate', 'X5'), ('join', 'X6'), ('eliminate', 'X6'), ('join', 'X7'), ('eliminate', 'X7'), ('join', 'X8'), ('eliminate', 'X8'), ('join', 'X9'), ('eliminate', 'X9'), ('join', 'X10'), ('eliminate', 'X10'), ('join', 'Z'), ('eliminate', 'Z')]"
diff --git a/tracking/test_cases/q4/6-large-bayesNet-elim.test b/tracking/test_cases/q4/6-large-bayesNet-elim.test
new file mode 100644
index 0000000..dfb1823
--- /dev/null
+++ b/tracking/test_cases/q4/6-large-bayesNet-elim.test
@@ -0,0 +1,366 @@
+class: "BayesNetInputFactorEqualityTest"
+max_points: "4"
+alg: "inferenceByVariableElimination"
+seed: "cs188"
+constructRandomly: "False"
+
+variables: """
+Z
+X1
+X2
+X3
+X4
+X5
+X6
+X7
+X8
+X9
+X10
+Y1
+Y2
+Y3
+Y4
+Y5
+Y6
+Y7
+Y8
+Y9
+Y10
+"""
+
+edges: """
+Z X1
+Z X2
+Z X3
+Z X4
+Z X5
+Z X6
+Z X7
+Z X8
+Z X9
+Z X10
+X1 Y1
+X2 Y2
+X3 Y3
+X4 Y4
+X5 Y5
+X6 Y6
+X7 Y7
+X8 Y8
+X9 Y9
+X10 Y10
+"""
+
+variableDomainsDict: """
+Z : evil good indifferent
+X1 : 0 1
+X2 : 0 1
+X3 : 0 1
+X4 : 0 1
+X5 : 0 1
+X6 : 0 1
+X7 : 0 1
+X8 : 0 1
+X9 : 0 1
+X10 : 0 1
+Y1 : water ice
+Y2 : water ice
+Y3 : water ice
+Y4 : water ice
+Y5 : water ice
+Y6 : water ice
+Y7 : water ice
+Y8 : water ice
+Y9 : water ice
+Y10 : water ice
+"""
+
+queryVariables: "X1 X2"
+
+variableEliminationOrder: "X3 X4 X5 X6 X7 X8 X9 X10 Z"
+
+evidenceDict: """
+Y1 : water
+Y2 : ice
+Y3 : water
+Y4 : ice
+Y5 : water
+Y6 : ice
+Y7 : water
+Y8 : ice
+Y9 : water
+Y10 : ice
+"""
+
+# endOfNonFactors
+
+X5unconditionedVariables: "X5"
+
+X5conditionedVariables: "Z"
+
+X5FactorTable: """
+X5 : 0, Z : evil = 0.581416503411
+X5 : 1, Z : evil = 0.418583496589
+X5 : 0, Z : good = 1.0
+X5 : 1, Z : good = 0.0
+X5 : 0, Z : indifferent = 0.0
+X5 : 1, Z : indifferent = 1.0
+"""
+
+
+X2unconditionedVariables: "X2"
+
+X2conditionedVariables: "Z"
+
+X2FactorTable: """
+X2 : 0, Z : evil = 1.0
+X2 : 1, Z : evil = 0.0
+X2 : 0, Z : good = 0.0
+X2 : 1, Z : good = 1.0
+X2 : 0, Z : indifferent = 0.63295587631
+X2 : 1, Z : indifferent = 0.36704412369
+"""
+
+
+X10unconditionedVariables: "X10"
+
+X10conditionedVariables: "Z"
+
+X10FactorTable: """
+X10 : 0, Z : evil = 0.932157327948
+X10 : 1, Z : evil = 0.0678426720516
+X10 : 0, Z : good = 0.488924536396
+X10 : 1, Z : good = 0.511075463604
+X10 : 0, Z : indifferent = 0.0
+X10 : 1, Z : indifferent = 1.0
+"""
+
+
+ZunconditionedVariables: "Z"
+
+ZconditionedVariables: ""
+
+ZFactorTable: """
+Z : evil = 0.366282091192
+Z : good = 0.0999652900561
+Z : indifferent = 0.533752618752
+"""
+
+
+Y10unconditionedVariables: "Y10"
+
+Y10conditionedVariables: "X10"
+
+Y10FactorTable: """
+Y10 : water, X10 : 0 = 0.0
+Y10 : ice, X10 : 0 = 1.0
+Y10 : water, X10 : 1 = 0.304307665342
+Y10 : ice, X10 : 1 = 0.695692334658
+"""
+
+
+X1unconditionedVariables: "X1"
+
+X1conditionedVariables: "Z"
+
+X1FactorTable: """
+X1 : 0, Z : evil = 1.0
+X1 : 1, Z : evil = 0.0
+X1 : 0, Z : good = 0.926031314752
+X1 : 1, Z : good = 0.0739686852482
+X1 : 0, Z : indifferent = 0.0
+X1 : 1, Z : indifferent = 1.0
+"""
+
+
+X6unconditionedVariables: "X6"
+
+X6conditionedVariables: "Z"
+
+X6FactorTable: """
+X6 : 0, Z : evil = 0.0
+X6 : 1, Z : evil = 1.0
+X6 : 0, Z : good = 0.477431141825
+X6 : 1, Z : good = 0.522568858175
+X6 : 0, Z : indifferent = 1.0
+X6 : 1, Z : indifferent = 0.0
+"""
+
+
+X7unconditionedVariables: "X7"
+
+X7conditionedVariables: "Z"
+
+X7FactorTable: """
+X7 : 0, Z : evil = 0.27008513902
+X7 : 1, Z : evil = 0.72991486098
+X7 : 0, Z : good = 0.43329264951
+X7 : 1, Z : good = 0.56670735049
+X7 : 0, Z : indifferent = 0.458003214533
+X7 : 1, Z : indifferent = 0.541996785467
+"""
+
+
+Y9unconditionedVariables: "Y9"
+
+Y9conditionedVariables: "X9"
+
+Y9FactorTable: """
+Y9 : water, X9 : 0 = 1.0
+Y9 : ice, X9 : 0 = 0.0
+Y9 : water, X9 : 1 = 0.498703437888
+Y9 : ice, X9 : 1 = 0.501296562112
+"""
+
+
+Y8unconditionedVariables: "Y8"
+
+Y8conditionedVariables: "X8"
+
+Y8FactorTable: """
+Y8 : water, X8 : 0 = 1.0
+Y8 : ice, X8 : 0 = 0.0
+Y8 : water, X8 : 1 = 0.433390657675
+Y8 : ice, X8 : 1 = 0.566609342325
+"""
+
+
+X8unconditionedVariables: "X8"
+
+X8conditionedVariables: "Z"
+
+X8FactorTable: """
+X8 : 0, Z : evil = 0.766378828529
+X8 : 1, Z : evil = 0.233621171471
+X8 : 0, Z : good = 0.591694920615
+X8 : 1, Z : good = 0.408305079385
+X8 : 0, Z : indifferent = 1.0
+X8 : 1, Z : indifferent = 0.0
+"""
+
+
+X9unconditionedVariables: "X9"
+
+X9conditionedVariables: "Z"
+
+X9FactorTable: """
+X9 : 0, Z : evil = 0.37629689044
+X9 : 1, Z : evil = 0.62370310956
+X9 : 0, Z : good = 1.0
+X9 : 1, Z : good = 0.0
+X9 : 0, Z : indifferent = 0.878806274155
+X9 : 1, Z : indifferent = 0.121193725845
+"""
+
+
+X4unconditionedVariables: "X4"
+
+X4conditionedVariables: "Z"
+
+X4FactorTable: """
+X4 : 0, Z : evil = 0.988593696082
+X4 : 1, Z : evil = 0.0114063039177
+X4 : 0, Z : good = 0.765212973063
+X4 : 1, Z : good = 0.234787026937
+X4 : 0, Z : indifferent = 1.0
+X4 : 1, Z : indifferent = 0.0
+"""
+
+
+Y1unconditionedVariables: "Y1"
+
+Y1conditionedVariables: "X1"
+
+Y1FactorTable: """
+Y1 : water, X1 : 0 = 0.711526186695
+Y1 : ice, X1 : 0 = 0.288473813305
+Y1 : water, X1 : 1 = 1.0
+Y1 : ice, X1 : 1 = 0.0
+"""
+
+
+X3unconditionedVariables: "X3"
+
+X3conditionedVariables: "Z"
+
+X3FactorTable: """
+X3 : 0, Z : evil = 0.706835554337
+X3 : 1, Z : evil = 0.293164445663
+X3 : 0, Z : good = 1.0
+X3 : 1, Z : good = 0.0
+X3 : 0, Z : indifferent = 0.617433268597
+X3 : 1, Z : indifferent = 0.382566731403
+"""
+
+
+Y3unconditionedVariables: "Y3"
+
+Y3conditionedVariables: "X3"
+
+Y3FactorTable: """
+Y3 : water, X3 : 0 = 0.825593744817
+Y3 : ice, X3 : 0 = 0.174406255183
+Y3 : water, X3 : 1 = 0.466285969892
+Y3 : ice, X3 : 1 = 0.533714030108
+"""
+
+
+Y2unconditionedVariables: "Y2"
+
+Y2conditionedVariables: "X2"
+
+Y2FactorTable: """
+Y2 : water, X2 : 0 = 0.19765016247
+Y2 : ice, X2 : 0 = 0.80234983753
+Y2 : water, X2 : 1 = 0.676933020022
+Y2 : ice, X2 : 1 = 0.323066979978
+"""
+
+
+Y5unconditionedVariables: "Y5"
+
+Y5conditionedVariables: "X5"
+
+Y5FactorTable: """
+Y5 : water, X5 : 0 = 0.0
+Y5 : ice, X5 : 0 = 1.0
+Y5 : water, X5 : 1 = 0.419155889929
+Y5 : ice, X5 : 1 = 0.580844110071
+"""
+
+
+Y4unconditionedVariables: "Y4"
+
+Y4conditionedVariables: "X4"
+
+Y4FactorTable: """
+Y4 : water, X4 : 0 = 0.505078886969
+Y4 : ice, X4 : 0 = 0.494921113031
+Y4 : water, X4 : 1 = 0.729463421654
+Y4 : ice, X4 : 1 = 0.270536578346
+"""
+
+
+Y7unconditionedVariables: "Y7"
+
+Y7conditionedVariables: "X7"
+
+Y7FactorTable: """
+Y7 : water, X7 : 0 = 0.42679832335
+Y7 : ice, X7 : 0 = 0.57320167665
+Y7 : water, X7 : 1 = 0.0
+Y7 : ice, X7 : 1 = 1.0
+"""
+
+
+Y6unconditionedVariables: "Y6"
+
+Y6conditionedVariables: "X6"
+
+Y6FactorTable: """
+Y6 : water, X6 : 0 = 1.0
+Y6 : ice, X6 : 0 = 0.0
+Y6 : water, X6 : 1 = 0.0
+Y6 : ice, X6 : 1 = 1.0
+"""
+
diff --git a/tracking/test_cases/q4/CONFIG b/tracking/test_cases/q4/CONFIG
new file mode 100644
index 0000000..3bf6a8c
--- /dev/null
+++ b/tracking/test_cases/q4/CONFIG
@@ -0,0 +1,2 @@
+max_points: "2"
+class: "PassAllTestsQuestion"
diff --git a/tracking/test_cases/q5/1-DiscreteDist-a1.solution b/tracking/test_cases/q5/1-DiscreteDist-a1.solution
new file mode 100644
index 0000000..8c59910
--- /dev/null
+++ b/tracking/test_cases/q5/1-DiscreteDist-a1.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q1/1-ObsProb.test.
+# The result of evaluating the test must equal the below when cast to a string.
+result: "1.0"
diff --git a/tracking/test_cases/q5/1-DiscreteDist-a1.test b/tracking/test_cases/q5/1-DiscreteDist-a1.test
new file mode 100644
index 0000000..1873c54
--- /dev/null
+++ b/tracking/test_cases/q5/1-DiscreteDist-a1.test
@@ -0,0 +1,22 @@
+class: "OutputTest"
+success: "PASS"
+failure: "NO PASS"
+
+# Python statements initializing variables for the test below.
+preamble: """
+import inference
+
+dist = inference.DiscreteDistribution()
+dist['a'] = 0
+ans5 = dist.normalize()
+
+# ans = map(float, [ans1, ans2, ans3, ans4])
+ans = map(float, [ans5 is None])
+"""
+
+# A python expression to be evaluated.  This expression must return the 
+# same result for the student and instructor's code.
+
+test: "ans"
+
+
diff --git a/tracking/test_cases/q5/1-DiscreteDist.solution b/tracking/test_cases/q5/1-DiscreteDist.solution
new file mode 100644
index 0000000..19f6627
--- /dev/null
+++ b/tracking/test_cases/q5/1-DiscreteDist.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q1/1-ObsProb.test.
+# The result of evaluating the test must equal the below when cast to a string.
+result: "0.17 0.33 0.33 0.0 0.17"
diff --git a/tracking/test_cases/q5/1-DiscreteDist.test b/tracking/test_cases/q5/1-DiscreteDist.test
new file mode 100644
index 0000000..5984589
--- /dev/null
+++ b/tracking/test_cases/q5/1-DiscreteDist.test
@@ -0,0 +1,31 @@
+class: "OutputTest"
+success: "PASS"
+failure: "NO PASS"
+
+# Python statements initializing variables for the test below.
+preamble: """
+import inference
+
+dist = inference.DiscreteDistribution()
+dist['a'] = 1
+dist['b'] = 2
+dist['c'] = 2
+dist['d'] = 0
+dist['e'] = 1
+N = 100000.0
+samples = [dist.sample() for _ in range(int(N))]
+ans1 = round(samples.count('a') * 1.0/N, 2)
+ans2 = round(samples.count('b') * 1.0/N, 2)
+ans3 = round(samples.count('c') * 1.0/N, 2)
+ans4 = round(samples.count('d') * 1.0/N, 2)
+ans5 = round(samples.count('e') * 1.0/N, 2)
+
+ans = map(float, [ans1, ans2, ans3, ans4, ans5])
+"""
+
+# A python expression to be evaluated.  This expression must return the 
+# same result for the student and instructor's code.
+
+test: "ans"
+
+
diff --git a/tracking/test_cases/q5/1-ObsProb.solution b/tracking/test_cases/q5/1-ObsProb.solution
new file mode 100644
index 0000000..7da0296
--- /dev/null
+++ b/tracking/test_cases/q5/1-ObsProb.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q1/1-ObsProb.test.
+# The result of evaluating the test must equal the below when cast to a string.
+result: "0.16753926701570682 0.33507853403141363 0.041884816753926704 0.0 0.0 0.0 0.0 1.0 0.08376963350785341 1.0 1.0 0.041884816753926704 0.0"
diff --git a/tracking/test_cases/q5/1-ObsProb.test b/tracking/test_cases/q5/1-ObsProb.test
new file mode 100644
index 0000000..6058528
--- /dev/null
+++ b/tracking/test_cases/q5/1-ObsProb.test
@@ -0,0 +1,51 @@
+class: "OutputTest"
+success: "PASS"
+failure: "NO PASS"
+
+# Python statements initializing variables for the test below.
+preamble: """
+import inference
+
+class dummyGhostAgent(object):
+    pass
+dummyGhostAgent = dummyGhostAgent()
+dummyGhostAgent.index = 1
+inf = inference.InferenceModule(dummyGhostAgent)
+pacmanPosition = (3, 5)
+ghostPosition = (4, 6)
+jailPosition = inf.getJailPosition()
+
+ans1 = inf.getObservationProb(1, pacmanPosition, ghostPosition, jailPosition)
+ans2 = inf.getObservationProb(2, pacmanPosition, ghostPosition, jailPosition)
+ans3 = inf.getObservationProb(5, pacmanPosition, ghostPosition, jailPosition)
+ans4 = inf.getObservationProb(None, pacmanPosition, ghostPosition, jailPosition)
+ans5 = inf.getObservationProb(1, pacmanPosition, jailPosition, jailPosition)
+ans6 = inf.getObservationProb(2, pacmanPosition, jailPosition, jailPosition)
+ans7 = inf.getObservationProb(5, pacmanPosition, jailPosition, jailPosition)
+ans8 = inf.getObservationProb(None, pacmanPosition, jailPosition, jailPosition)
+ans9 = inf.getObservationProb(0, pacmanPosition, ghostPosition, jailPosition)
+
+jailPosition = (1000000000000000000000, 1000000000000000000000)
+ghostPosition = (1000000000000000000000, 1000000000000000000000)
+ans10 = inf.getObservationProb(None, pacmanPosition, ghostPosition, jailPosition)
+
+# battling usage of is instead of ==
+jailPosition = [5, 5]
+ghostPosition = [5, 5]
+ans11 = inf.getObservationProb(None, pacmanPosition, ghostPosition, jailPosition)
+# test for NoisyDistance is 0 or None
+ans13 = inf.getObservationProb(0, pacmanPosition, ghostPosition, jailPosition)
+
+jailPosition = [0.4, 2.4]
+ghostPosition = [1.4, 2.4]
+ans12 = inf.getObservationProb(1.2, pacmanPosition, ghostPosition, jailPosition)
+
+ans = map(float, [ans1, ans2, ans3, ans4, ans5, ans6, ans7, ans8, ans9, ans10, ans11, ans12, ans13])
+"""
+
+# A python expression to be evaluated.  This expression must return the 
+# same result for the student and instructor's code.
+
+test: "ans"
+
+
diff --git a/tracking/test_cases/q5/CONFIG b/tracking/test_cases/q5/CONFIG
new file mode 100644
index 0000000..519ac56
--- /dev/null
+++ b/tracking/test_cases/q5/CONFIG
@@ -0,0 +1,3 @@
+max_points: "1"
+class: "PassAllTestsQuestion"
+
diff --git a/tracking/test_cases/q6/1-ExactUpdate.solution b/tracking/test_cases/q6/1-ExactUpdate.solution
new file mode 100644
index 0000000..412df78
--- /dev/null
+++ b/tracking/test_cases/q6/1-ExactUpdate.solution
@@ -0,0 +1,55 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(5, 4): 0.125, (3, 4): 0.125, (1, 4): 0.125, (7, 4): 0.125, (9, 4): 0.125, (5, 2): 0.125, (2, 4): 0.125, (8, 4): 0.125, }, ]
+1 Stop [{(5, 4): 0.222222222222, (5, 2): 0.0, (1, 4): 0.0555555555556, (2, 4): 0.111111111111, (7, 4): 0.222222222222, (9, 4): 0.0555555555556, (3, 4): 0.222222222222, (1, 1): 0.0, (8, 4): 0.111111111111, }, ]
+2 Stop [{(5, 4): 0.603773584906, (5, 2): 0.0, (1, 4): 0.00943396226415, (2, 4): 0.0377358490566, (7, 4): 0.150943396226, (9, 4): 0.00943396226415, (3, 4): 0.150943396226, (1, 1): 0.0, (8, 4): 0.0377358490566, }, ]
+3 Stop [{(5, 4): 0.304761904762, (5, 2): 0.0, (1, 4): 0.0047619047619, (2, 4): 0.0380952380952, (7, 4): 0.304761904762, (9, 4): 0.0047619047619, (3, 4): 0.304761904762, (1, 1): 0.0, (8, 4): 0.0380952380952, }, ]
+4 Stop [{(5, 4): 0.104918032787, (5, 2): 0.0, (1, 4): 0.0016393442623, (2, 4): 0.0262295081967, (7, 4): 0.419672131148, (9, 4): 0.0016393442623, (3, 4): 0.419672131148, (1, 1): 0.0, (8, 4): 0.0262295081967, }, ]
+5 Stop [{(5, 4): 0.326322498407, (5, 2): 0.0, (1, 4): 0.00031867431485, (2, 4): 0.0101975780752, (7, 4): 0.326322498407, (9, 4): 0.00031867431485, (3, 4): 0.326322498407, (1, 1): 0.0, (8, 4): 0.0101975780752, }, ]
+6 Stop [{(5, 4): 0.329843775165, (5, 2): 0.0, (1, 4): 8.05282654212e-05, (2, 4): 0.00515380898695, (7, 4): 0.329843775165, (9, 4): 8.05282654212e-05, (3, 4): 0.329843775165, (1, 1): 0.0, (8, 4): 0.00515380898695, }, ]
+7 Stop [{(5, 4): 0.664921572208, (5, 2): 0.0, (1, 4): 1.01458980134e-05, (2, 4): 0.00129867494572, (7, 4): 0.166230393052, (9, 4): 1.01458980134e-05, (3, 4): 0.166230393052, (1, 1): 0.0, (8, 4): 0.00129867494572, }, ]
+8 Stop [{(5, 4): 0.888501748065, (5, 2): 0.0, (1, 4): 8.47341297212e-07, (2, 4): 0.000216919372086, (7, 4): 0.0555313592541, (9, 4): 8.47341297212e-07, (3, 4): 0.0555313592541, (1, 1): 0.0, (8, 4): 0.000216919372086, }, ]
+9 Stop [{(5, 4): 0.888695652911, (5, 2): 0.0, (1, 4): 2.11881554821e-07, (2, 4): 0.000108483356068, (7, 4): 0.0555434783069, (9, 4): 2.11881554821e-07, (3, 4): 0.0555434783069, (1, 1): 0.0, (8, 4): 0.000108483356068, }, ]
+10 Stop [{(5, 4): 0.969668246473, (5, 2): 0.0, (1, 4): 1.44491828452e-08, (2, 4): 1.47959632335e-05, (7, 4): 0.0151510663511, (9, 4): 1.44491828452e-08, (3, 4): 0.0151510663511, (1, 1): 0.0, (8, 4): 1.47959632335e-05, }, ]
+11 Stop [{(5, 4): 0.992244304412, (5, 2): 0.0, (1, 4): 9.24099520232e-10, (2, 4): 1.89255581744e-06, (7, 4): 0.00387595431411, (9, 4): 9.24099520232e-10, (3, 4): 0.00387595431411, (1, 1): 0.0, (8, 4): 1.89255581744e-06, }, ]
+12 Stop [{(5, 4): 0.998050207166, (5, 2): 0.0, (1, 4): 5.80941680333e-11, (2, 4): 2.37953712264e-07, (7, 4): 0.000974658405435, (9, 4): 5.80941680333e-11, (3, 4): 0.000974658405435, (1, 1): 0.0, (8, 4): 2.37953712264e-07, }, ]
+13 Stop [{(5, 4): 0.998050444742, (5, 2): 0.0, (1, 4): 1.45235454655e-11, (2, 4): 1.18976884454e-07, (7, 4): 0.000974658637444, (9, 4): 1.45235454655e-11, (3, 4): 0.000974658637444, (1, 1): 0.0, (8, 4): 1.18976884454e-07, }, ]
+14 Stop [{(5, 4): 0.999511927277, (5, 2): 0.0, (1, 4): 9.09050802217e-13, (2, 4): 1.48938883435e-08, (7, 4): 0.00024402146662, (9, 4): 9.09050802217e-13, (3, 4): 0.00024402146662, (1, 1): 0.0, (8, 4): 1.48938883435e-08, }, ]
+15 Stop [{(5, 4): 0.999877940862, (5, 2): 0.0, (1, 4): 5.68364806021e-14, (2, 4): 1.86241779637e-09, (7, 4): 6.10277063515e-05, (9, 4): 5.68364806021e-14, (3, 4): 6.10277063515e-05, (1, 1): 0.0, (8, 4): 1.86241779637e-09, }, ]
+16 Stop [{(5, 4): 0.999969482888, (5, 2): 0.0, (1, 4): 3.55260526024e-15, (2, 4): 2.32823538335e-10, (7, 4): 1.52583234083e-05, (9, 4): 3.55260526024e-15, (3, 4): 1.52583234083e-05, (1, 1): 0.0, (8, 4): 2.32823538335e-10, }, ]
+17 Stop [{(5, 4): 0.999992370605, (5, 2): 0.0, (1, 4): 2.22042910859e-16, (2, 4): 2.91036084121e-11, (7, 4): 3.81466816179e-06, (9, 4): 2.22042910859e-16, (3, 4): 3.81466816179e-06, (1, 1): 0.0, (8, 4): 2.91036084121e-11, }, ]
+18 Stop [{(5, 4): 0.999998092648, (5, 2): 0.0, (1, 4): 1.3877761338e-17, (2, 4): 3.63797186818e-12, (7, 4): 9.53672497413e-07, (9, 4): 1.3877761338e-17, (3, 4): 9.53672497413e-07, (1, 1): 0.0, (8, 4): 3.63797186818e-12, }, ]
+19 Stop [{(5, 4): 0.999998092651, (5, 2): 0.0, (1, 4): 3.46944033451e-18, (2, 4): 1.8189859341e-12, (7, 4): 9.53672497417e-07, (9, 4): 3.46944033451e-18, (3, 4): 9.53672497417e-07, (1, 1): 0.0, (8, 4): 1.8189859341e-12, }, ]
+20 Stop [{(5, 4): 0.999992370656, (5, 2): 0.0, (1, 4): 3.46942048235e-18, (2, 4): 3.6379510517e-12, (7, 4): 3.81466816199e-06, (9, 4): 3.46942048235e-18, (3, 4): 3.81466816199e-06, (1, 1): 0.0, (8, 4): 3.6379510517e-12, }, ]
+21 Stop [{(5, 4): 0.999998092654, (5, 2): 0.0, (1, 4): 2.16840020907e-19, (2, 4): 4.54746483526e-13, (7, 4): 9.53672497419e-07, (9, 4): 2.16840020907e-19, (3, 4): 9.53672497419e-07, (1, 1): 0.0, (8, 4): 4.54746483526e-13, }, ]
+22 Stop [{(5, 4): 0.999992370656, (5, 2): 0.0, (1, 4): 3.46942048235e-18, (2, 4): 3.6379510517e-12, (7, 4): 3.81466816199e-06, (9, 4): 3.46942048235e-18, (3, 4): 3.81466816199e-06, (1, 1): 0.0, (8, 4): 3.6379510517e-12, }, ]
+23 Stop [{(5, 4): 0.99999237066, (5, 2): 0.0, (1, 4): 8.67355120591e-19, (2, 4): 1.81897552586e-12, (7, 4): 3.814668162e-06, (9, 4): 8.67355120591e-19, (3, 4): 3.814668162e-06, (1, 1): 0.0, (8, 4): 1.81897552586e-12, }, ]
+24 Stop [{(5, 4): 0.999998092655, (5, 2): 0.0, (1, 4): 5.42100052269e-20, (2, 4): 2.27373241763e-13, (7, 4): 9.5367249742e-07, (9, 4): 5.42100052269e-20, (3, 4): 9.5367249742e-07, (1, 1): 0.0, (8, 4): 2.27373241763e-13, }, ]
+25 Stop [{(5, 4): 0.999998092655, (5, 2): 0.0, (1, 4): 1.35525013067e-20, (2, 4): 1.13686620882e-13, (7, 4): 9.5367249742e-07, (9, 4): 1.35525013067e-20, (3, 4): 9.5367249742e-07, (1, 1): 0.0, (8, 4): 1.13686620882e-13, }, ]
+26 Stop [{(5, 4): 0.999999523163, (5, 2): 0.0, (1, 4): 8.47032543358e-22, (2, 4): 1.42108479389e-14, (7, 4): 2.38418465415e-07, (9, 4): 8.47032543358e-22, (3, 4): 2.38418465415e-07, (1, 1): 0.0, (8, 4): 1.42108479389e-14, }, ]
+27 Stop [{(5, 4): 0.999999880791, (5, 2): 0.0, (1, 4): 5.29395528925e-23, (2, 4): 1.77635662764e-15, (7, 4): 5.960463767e-08, (9, 4): 5.29395528925e-23, (3, 4): 5.960463767e-08, (1, 1): 0.0, (8, 4): 1.77635662764e-15, }, ]
+28 Stop [{(5, 4): 0.999999970198, (5, 2): 0.0, (1, 4): 3.3087223516e-24, (2, 4): 2.22044598308e-16, (7, 4): 1.49011607498e-08, (9, 4): 3.3087223516e-24, (3, 4): 1.49011607498e-08, (1, 1): 0.0, (8, 4): 2.22044598308e-16, }, ]
+29 Stop [{(5, 4): 0.999999970198, (5, 2): 0.0, (1, 4): 8.27180587901e-25, (2, 4): 1.11022299154e-16, (7, 4): 1.49011607498e-08, (9, 4): 8.27180587901e-25, (3, 4): 1.49011607498e-08, (1, 1): 0.0, (8, 4): 1.11022299154e-16, }, ]
+30 Stop [{(5, 4): 0.999999992549, (5, 2): 0.0, (1, 4): 5.16987878994e-26, (2, 4): 1.38777877044e-17, (7, 4): 3.72529027071e-09, (9, 4): 5.16987878994e-26, (3, 4): 3.72529027071e-09, (1, 1): 0.0, (8, 4): 1.38777877044e-17, }, ]
+31 Stop [{(5, 4): 0.999999970198, (5, 2): 0.0, (1, 4): 2.06795146975e-25, (2, 4): 1.11022299154e-16, (7, 4): 1.49011607498e-08, (9, 4): 2.06795146975e-25, (3, 4): 1.49011607498e-08, (1, 1): 0.0, (8, 4): 1.11022299154e-16, }, ]
+32 Stop [{(5, 4): 0.999999992549, (5, 2): 0.0, (1, 4): 1.29246969748e-26, (2, 4): 1.38777877044e-17, (7, 4): 3.72529027071e-09, (9, 4): 1.29246969748e-26, (3, 4): 3.72529027071e-09, (1, 1): 0.0, (8, 4): 1.38777877044e-17, }, ]
+33 Stop [{(5, 4): 0.999999998137, (5, 2): 0.0, (1, 4): 8.07793565442e-28, (2, 4): 1.73472347275e-18, (7, 4): 9.31322572881e-10, (9, 4): 8.07793565442e-28, (3, 4): 9.31322572881e-10, (1, 1): 0.0, (8, 4): 1.73472347275e-18, }, ]
+34 Stop [{(5, 4): 0.999999999534, (5, 2): 0.0, (1, 4): 5.04870979106e-29, (2, 4): 2.16840434396e-19, (7, 4): 2.32830643545e-10, (9, 4): 5.04870979106e-29, (3, 4): 2.32830643545e-10, (1, 1): 0.0, (8, 4): 2.16840434396e-19, }, ]
+35 Stop [{(5, 4): 0.999999999884, (5, 2): 0.0, (1, 4): 3.15544362052e-30, (2, 4): 2.7105054309e-20, (7, 4): 5.82076609067e-11, (9, 4): 3.15544362052e-30, (3, 4): 5.82076609067e-11, (1, 1): 0.0, (8, 4): 2.7105054309e-20, }, ]
+36 Stop [{(5, 4): 0.999999999971, (5, 2): 0.0, (1, 4): 1.972152263e-31, (2, 4): 3.38813178892e-21, (7, 4): 1.45519152279e-11, (9, 4): 1.972152263e-31, (3, 4): 1.45519152279e-11, (1, 1): 0.0, (8, 4): 3.38813178892e-21, }, ]
+37 Stop [{(5, 4): 0.999999999993, (5, 2): 0.0, (1, 4): 1.2325951644e-32, (2, 4): 4.23516473624e-22, (7, 4): 3.63797880707e-12, (9, 4): 1.2325951644e-32, (3, 4): 3.63797880707e-12, (1, 1): 0.0, (8, 4): 4.23516473624e-22, }, ]
+38 Stop [{(5, 4): 0.999999999993, (5, 2): 0.0, (1, 4): 3.081487911e-33, (2, 4): 2.11758236812e-22, (7, 4): 3.63797880707e-12, (9, 4): 3.081487911e-33, (3, 4): 3.63797880707e-12, (1, 1): 0.0, (8, 4): 2.11758236812e-22, }, ]
+39 Stop [{(5, 4): 0.999999999998, (5, 2): 0.0, (1, 4): 1.92592994438e-34, (2, 4): 2.64697796016e-23, (7, 4): 9.09494701771e-13, (9, 4): 1.92592994438e-34, (3, 4): 9.09494701771e-13, (1, 1): 0.0, (8, 4): 2.64697796016e-23, }, ]
+40 Stop [{(5, 4): 0.999999999998, (5, 2): 0.0, (1, 4): 4.81482486096e-35, (2, 4): 1.32348898008e-23, (7, 4): 9.09494701771e-13, (9, 4): 4.81482486096e-35, (3, 4): 9.09494701771e-13, (1, 1): 0.0, (8, 4): 1.32348898008e-23, }, ]
+41 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 3.0092655381e-36, (2, 4): 1.65436122511e-24, (7, 4): 2.27373675443e-13, (9, 4): 3.0092655381e-36, (3, 4): 2.27373675443e-13, (1, 1): 0.0, (8, 4): 1.65436122511e-24, }, ]
+42 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 1.88079096132e-37, (2, 4): 2.06795153138e-25, (7, 4): 5.68434188608e-14, (9, 4): 1.88079096132e-37, (3, 4): 5.68434188608e-14, (1, 1): 0.0, (8, 4): 2.06795153138e-25, }, ]
+43 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 7.52316384526e-37, (2, 4): 1.65436122511e-24, (7, 4): 2.27373675443e-13, (9, 4): 7.52316384526e-37, (3, 4): 2.27373675443e-13, (1, 1): 0.0, (8, 4): 1.65436122511e-24, }, ]
+44 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 1.88079096131e-37, (2, 4): 8.27180612553e-25, (7, 4): 2.27373675443e-13, (9, 4): 1.88079096131e-37, (3, 4): 2.27373675443e-13, (1, 1): 0.0, (8, 4): 8.27180612553e-25, }, ]
+45 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 1.17549435082e-38, (2, 4): 1.03397576569e-25, (7, 4): 5.68434188608e-14, (9, 4): 1.17549435082e-38, (3, 4): 5.68434188608e-14, (1, 1): 0.0, (8, 4): 1.03397576569e-25, }, ]
+46 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 7.34683969264e-40, (2, 4): 1.29246970711e-26, (7, 4): 1.42108547152e-14, (9, 4): 7.34683969264e-40, (3, 4): 1.42108547152e-14, (1, 1): 0.0, (8, 4): 1.29246970711e-26, }, ]
+47 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 7.34683969264e-40, (2, 4): 2.58493941423e-26, (7, 4): 5.68434188608e-14, (9, 4): 7.34683969264e-40, (3, 4): 5.68434188608e-14, (1, 1): 0.0, (8, 4): 2.58493941423e-26, }, ]
+48 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 4.5917748079e-41, (2, 4): 3.23117426779e-27, (7, 4): 1.42108547152e-14, (9, 4): 4.5917748079e-41, (3, 4): 1.42108547152e-14, (1, 1): 0.0, (8, 4): 3.23117426779e-27, }, ]
+49 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 1.14794370197e-41, (2, 4): 1.61558713389e-27, (7, 4): 1.42108547152e-14, (9, 4): 1.14794370197e-41, (3, 4): 1.42108547152e-14, (1, 1): 0.0, (8, 4): 1.61558713389e-27, }, ]
+50 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 1.83670992316e-40, (2, 4): 1.29246970711e-26, (7, 4): 5.68434188608e-14, (9, 4): 1.83670992316e-40, (3, 4): 5.68434188608e-14, (1, 1): 0.0, (8, 4): 1.29246970711e-26, }, ]
+51 None [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 4.5917748079e-41, (2, 4): 6.46234853557e-27, (7, 4): 5.68434188608e-14, (9, 4): 4.5917748079e-41, (3, 4): 5.68434188608e-14, (1, 1): 0.0, (8, 4): 6.46234853557e-27, }, ]
+"""
diff --git a/tracking/test_cases/q6/1-ExactUpdate.test b/tracking/test_cases/q6/1-ExactUpdate.test
new file mode 100644
index 0000000..c5ad594
--- /dev/null
+++ b/tracking/test_cases/q6/1-ExactUpdate.test
@@ -0,0 +1,26 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+layout: """
+%%%%%%%%%%%
+%   %G%   %
+%%%%%%%%%%%
+%%%%%P%%%%%
+% %%%%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+checkUniform: "False"
+maxMoves: "50"
+numParticles: "5000"
+numGhosts: "1"
+
+ghost: "SeededRandomGhostAgent"
+inference: "ExactInference"
+errorMsg: "Exact inference stationary pacman observe test: %d inference errors."
+L2Tolerance: "0.0001"
+
diff --git a/tracking/test_cases/q6/2-ExactUpdate.solution b/tracking/test_cases/q6/2-ExactUpdate.solution
new file mode 100644
index 0000000..7532ca4
--- /dev/null
+++ b/tracking/test_cases/q6/2-ExactUpdate.solution
@@ -0,0 +1,105 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(1, 3): 0.0714285714286, (2, 9): 0.0714285714286, (5, 6): 0.0714285714286, (2, 8): 0.0714285714286, (9, 8): 0.0714285714286, (9, 3): 0.0714285714286, (9, 9): 0.0714285714286, (1, 4): 0.0714285714286, (8, 9): 0.0714285714286, (1, 8): 0.0714285714286, (8, 8): 0.0714285714286, (2, 3): 0.0714285714286, (1, 9): 0.0714285714286, (2, 4): 0.0714285714286, }, ]
+1 Stop [{(1, 3): 0.129032258065, (2, 9): 0.0645161290323, (5, 6): 0.0, (2, 8): 0.0322580645161, (9, 8): 0.0645161290323, (9, 3): 0.129032258065, (9, 9): 0.129032258065, (1, 4): 0.0645161290323, (2, 4): 0.0322580645161, (8, 9): 0.0645161290323, (1, 8): 0.0645161290323, (8, 8): 0.0322580645161, (2, 3): 0.0645161290323, (1, 9): 0.129032258065, (1, 1): 0.0, }, ]
+2 Stop [{(1, 3): 0.0769230769231, (2, 9): 0.0769230769231, (5, 6): 0.0, (2, 8): 0.0769230769231, (9, 8): 0.0769230769231, (9, 3): 0.0769230769231, (9, 9): 0.0769230769231, (1, 4): 0.0769230769231, (2, 4): 0.0769230769231, (8, 9): 0.0769230769231, (1, 8): 0.0769230769231, (8, 8): 0.0769230769231, (2, 3): 0.0769230769231, (1, 9): 0.0769230769231, (1, 1): 0.0, }, ]
+3 Stop [{(1, 3): 0.129032258065, (2, 9): 0.0645161290323, (5, 6): 0.0, (2, 8): 0.0322580645161, (9, 8): 0.0645161290323, (9, 3): 0.129032258065, (9, 9): 0.129032258065, (1, 4): 0.0645161290323, (2, 4): 0.0322580645161, (8, 9): 0.0645161290323, (1, 8): 0.0645161290323, (8, 8): 0.0322580645161, (2, 3): 0.0645161290323, (1, 9): 0.129032258065, (1, 1): 0.0, }, ]
+4 Stop [{(1, 3): 0.175824175824, (2, 9): 0.043956043956, (5, 6): 0.0, (2, 8): 0.010989010989, (9, 8): 0.043956043956, (9, 3): 0.175824175824, (9, 9): 0.175824175824, (1, 4): 0.043956043956, (2, 4): 0.010989010989, (8, 9): 0.043956043956, (1, 8): 0.043956043956, (8, 8): 0.010989010989, (2, 3): 0.043956043956, (1, 9): 0.175824175824, (1, 1): 0.0, }, ]
+5 Stop [{(1, 3): 0.208469055375, (2, 9): 0.0260586319218, (5, 6): 0.0, (2, 8): 0.00325732899023, (9, 8): 0.0260586319218, (9, 3): 0.208469055375, (9, 9): 0.208469055375, (1, 4): 0.0260586319218, (2, 4): 0.00325732899023, (8, 9): 0.0260586319218, (1, 8): 0.0260586319218, (8, 8): 0.00325732899023, (2, 3): 0.0260586319218, (1, 9): 0.208469055375, (1, 1): 0.0, }, ]
+6 Stop [{(1, 3): 0.227960819234, (2, 9): 0.0142475512021, (5, 6): 0.0, (2, 8): 0.000890471950134, (9, 8): 0.0142475512021, (9, 3): 0.227960819234, (9, 9): 0.227960819234, (1, 4): 0.0142475512021, (2, 4): 0.000890471950134, (8, 9): 0.0142475512021, (1, 8): 0.0142475512021, (8, 8): 0.000890471950134, (2, 3): 0.0142475512021, (1, 9): 0.227960819234, (1, 1): 0.0, }, ]
+7 Stop [{(1, 3): 0.208469055375, (2, 9): 0.0260586319218, (5, 6): 0.0, (2, 8): 0.00325732899023, (9, 8): 0.0260586319218, (9, 3): 0.208469055375, (9, 9): 0.208469055375, (1, 4): 0.0260586319218, (2, 4): 0.00325732899023, (8, 9): 0.0260586319218, (1, 8): 0.0260586319218, (8, 8): 0.00325732899023, (2, 3): 0.0260586319218, (1, 9): 0.208469055375, (1, 1): 0.0, }, ]
+8 Stop [{(1, 3): 0.180281690141, (2, 9): 0.0450704225352, (5, 6): 0.0, (2, 8): 0.00281690140845, (9, 8): 0.0450704225352, (9, 3): 0.180281690141, (9, 9): 0.180281690141, (1, 4): 0.0450704225352, (2, 4): 0.00281690140845, (8, 9): 0.0450704225352, (1, 8): 0.0450704225352, (8, 8): 0.00281690140845, (2, 3): 0.0450704225352, (1, 9): 0.180281690141, (1, 1): 0.0, }, ]
+9 Stop [{(1, 3): 0.210008203445, (2, 9): 0.0262510254307, (5, 6): 0.0, (2, 8): 0.000820344544709, (9, 8): 0.0262510254307, (9, 3): 0.210008203445, (9, 9): 0.210008203445, (1, 4): 0.0262510254307, (2, 4): 0.000820344544709, (8, 9): 0.0262510254307, (1, 8): 0.0262510254307, (8, 8): 0.000820344544709, (2, 3): 0.0262510254307, (1, 9): 0.210008203445, (1, 1): 0.0, }, ]
+10 Stop [{(1, 3): 0.180281690141, (2, 9): 0.0450704225352, (5, 6): 0.0, (2, 8): 0.00281690140845, (9, 8): 0.0450704225352, (9, 3): 0.180281690141, (9, 9): 0.180281690141, (1, 4): 0.0450704225352, (2, 4): 0.00281690140845, (8, 9): 0.0450704225352, (1, 8): 0.0450704225352, (8, 8): 0.00281690140845, (2, 3): 0.0450704225352, (1, 9): 0.180281690141, (1, 1): 0.0, }, ]
+11 Stop [{(1, 3): 0.139130434783, (2, 9): 0.0695652173913, (5, 6): 0.0, (2, 8): 0.00869565217391, (9, 8): 0.0695652173913, (9, 3): 0.139130434783, (9, 9): 0.139130434783, (1, 4): 0.0695652173913, (2, 4): 0.00869565217391, (8, 9): 0.0695652173913, (1, 8): 0.0695652173913, (8, 8): 0.00869565217391, (2, 3): 0.0695652173913, (1, 9): 0.139130434783, (1, 1): 0.0, }, ]
+12 Stop [{(1, 3): 0.0981595092025, (2, 9): 0.0981595092025, (5, 6): 0.0, (2, 8): 0.00613496932515, (9, 8): 0.0981595092025, (9, 3): 0.0981595092025, (9, 9): 0.0981595092025, (1, 4): 0.0981595092025, (2, 4): 0.00613496932515, (8, 9): 0.0981595092025, (1, 8): 0.0981595092025, (8, 8): 0.00613496932515, (2, 3): 0.0981595092025, (1, 9): 0.0981595092025, (1, 1): 0.0, }, ]
+13 Stop [{(1, 3): 0.141906873614, (2, 9): 0.0709534368071, (5, 6): 0.0, (2, 8): 0.00221729490022, (9, 8): 0.0709534368071, (9, 3): 0.141906873614, (9, 9): 0.141906873614, (1, 4): 0.0709534368071, (2, 4): 0.00221729490022, (8, 9): 0.0709534368071, (1, 8): 0.0709534368071, (8, 8): 0.00221729490022, (2, 3): 0.0709534368071, (1, 9): 0.141906873614, (1, 1): 0.0, }, ]
+14 Stop [{(1, 3): 0.0981595092025, (2, 9): 0.0981595092025, (5, 6): 0.0, (2, 8): 0.00613496932515, (9, 8): 0.0981595092025, (9, 3): 0.0981595092025, (9, 9): 0.0981595092025, (1, 4): 0.0981595092025, (2, 4): 0.00613496932515, (8, 9): 0.0981595092025, (1, 8): 0.0981595092025, (8, 8): 0.00613496932515, (2, 3): 0.0981595092025, (1, 9): 0.0981595092025, (1, 1): 0.0, }, ]
+15 Stop [{(1, 3): 0.141906873614, (2, 9): 0.0709534368071, (5, 6): 0.0, (2, 8): 0.00221729490022, (9, 8): 0.0709534368071, (9, 3): 0.141906873614, (9, 9): 0.141906873614, (1, 4): 0.0709534368071, (2, 4): 0.00221729490022, (8, 9): 0.0709534368071, (1, 8): 0.0709534368071, (8, 8): 0.00221729490022, (2, 3): 0.0709534368071, (1, 9): 0.141906873614, (1, 1): 0.0, }, ]
+16 Stop [{(1, 3): 0.181431608788, (2, 9): 0.045357902197, (5, 6): 0.0, (2, 8): 0.000708717221828, (9, 8): 0.045357902197, (9, 3): 0.181431608788, (9, 9): 0.181431608788, (1, 4): 0.045357902197, (2, 4): 0.000708717221828, (8, 9): 0.045357902197, (1, 8): 0.045357902197, (8, 8): 0.000708717221828, (2, 3): 0.045357902197, (1, 9): 0.181431608788, (1, 1): 0.0, }, ]
+17 Stop [{(1, 3): 0.210396548182, (2, 9): 0.0262995685227, (5, 6): 0.0, (2, 8): 0.000205465379084, (9, 8): 0.0262995685227, (9, 3): 0.210396548182, (9, 9): 0.210396548182, (1, 4): 0.0262995685227, (2, 4): 0.000205465379084, (8, 9): 0.0262995685227, (1, 8): 0.0262995685227, (8, 8): 0.000205465379084, (2, 3): 0.0262995685227, (1, 9): 0.210396548182, (1, 1): 0.0, }, ]
+18 Stop [{(1, 3): 0.22853316967, (2, 9): 0.0142833231044, (5, 6): 0.0, (2, 8): 5.57942308765e-05, (9, 8): 0.0142833231044, (9, 3): 0.22853316967, (9, 9): 0.22853316967, (1, 4): 0.0142833231044, (2, 4): 5.57942308765e-05, (8, 9): 0.0142833231044, (1, 8): 0.0142833231044, (8, 8): 5.57942308765e-05, (2, 3): 0.0142833231044, (1, 9): 0.22853316967, (1, 1): 0.0, }, ]
+19 Stop [{(1, 3): 0.238795528414, (2, 9): 0.00746236026293, (5, 6): 0.0, (2, 8): 1.45749223885e-05, (9, 8): 0.00746236026293, (9, 3): 0.238795528414, (9, 9): 0.238795528414, (1, 4): 0.00746236026293, (2, 4): 1.45749223885e-05, (8, 9): 0.00746236026293, (1, 8): 0.00746236026293, (8, 8): 1.45749223885e-05, (2, 3): 0.00746236026293, (1, 9): 0.238795528414, (1, 1): 0.0, }, ]
+20 Stop [{(1, 3): 0.244272077707, (2, 9): 0.00381675121417, (5, 6): 0.0, (2, 8): 3.72729610758e-06, (9, 8): 0.00381675121417, (9, 3): 0.244272077707, (9, 9): 0.244272077707, (1, 4): 0.00381675121417, (2, 4): 3.72729610758e-06, (8, 9): 0.00381675121417, (1, 8): 0.00381675121417, (8, 8): 3.72729610758e-06, (2, 3): 0.00381675121417, (1, 9): 0.244272077707, (1, 1): 0.0, }, ]
+21 Stop [{(1, 3): 0.238795528414, (2, 9): 0.00746236026293, (5, 6): 0.0, (2, 8): 1.45749223885e-05, (9, 8): 0.00746236026293, (9, 3): 0.238795528414, (9, 9): 0.238795528414, (1, 4): 0.00746236026293, (2, 4): 1.45749223885e-05, (8, 9): 0.00746236026293, (1, 8): 0.00746236026293, (8, 8): 1.45749223885e-05, (2, 3): 0.00746236026293, (1, 9): 0.238795528414, (1, 1): 0.0, }, ]
+22 Stop [{(1, 3): 0.244272077707, (2, 9): 0.00381675121417, (5, 6): 0.0, (2, 8): 3.72729610758e-06, (9, 8): 0.00381675121417, (9, 3): 0.244272077707, (9, 9): 0.244272077707, (1, 4): 0.00381675121417, (2, 4): 3.72729610758e-06, (8, 9): 0.00381675121417, (1, 8): 0.00381675121417, (8, 8): 3.72729610758e-06, (2, 3): 0.00381675121417, (1, 9): 0.244272077707, (1, 1): 0.0, }, ]
+23 Stop [{(1, 3): 0.247103548324, (2, 9): 0.00193049647128, (5, 6): 0.0, (2, 8): 9.42625230118e-07, (9, 8): 0.00193049647128, (9, 3): 0.247103548324, (9, 9): 0.247103548324, (1, 4): 0.00193049647128, (2, 4): 9.42625230118e-07, (8, 9): 0.00193049647128, (1, 8): 0.00193049647128, (8, 8): 9.42625230118e-07, (2, 3): 0.00193049647128, (1, 9): 0.247103548324, (1, 1): 0.0, }, ]
+24 Stop [{(1, 3): 0.244272077707, (2, 9): 0.00381675121417, (5, 6): 0.0, (2, 8): 3.72729610758e-06, (9, 8): 0.00381675121417, (9, 3): 0.244272077707, (9, 9): 0.244272077707, (1, 4): 0.00381675121417, (2, 4): 3.72729610758e-06, (8, 9): 0.00381675121417, (1, 8): 0.00381675121417, (8, 8): 3.72729610758e-06, (2, 3): 0.00381675121417, (1, 9): 0.244272077707, (1, 1): 0.0, }, ]
+25 Stop [{(1, 3): 0.247103548324, (2, 9): 0.00193049647128, (5, 6): 0.0, (2, 8): 9.42625230118e-07, (9, 8): 0.00193049647128, (9, 3): 0.247103548324, (9, 9): 0.247103548324, (1, 4): 0.00193049647128, (2, 4): 9.42625230118e-07, (8, 9): 0.00193049647128, (1, 8): 0.00193049647128, (8, 8): 9.42625230118e-07, (2, 3): 0.00193049647128, (1, 9): 0.247103548324, (1, 1): 0.0, }, ]
+26 Stop [{(1, 3): 0.244272077707, (2, 9): 0.00381675121417, (5, 6): 0.0, (2, 8): 3.72729610758e-06, (9, 8): 0.00381675121417, (9, 3): 0.244272077707, (9, 9): 0.244272077707, (1, 4): 0.00381675121417, (2, 4): 3.72729610758e-06, (8, 9): 0.00381675121417, (1, 8): 0.00381675121417, (8, 8): 3.72729610758e-06, (2, 3): 0.00381675121417, (1, 9): 0.244272077707, (1, 1): 0.0, }, ]
+27 Stop [{(1, 3): 0.23880335963, (2, 9): 0.00746260498843, (5, 6): 0.0, (2, 8): 3.64385009201e-06, (9, 8): 0.00746260498843, (9, 3): 0.23880335963, (9, 9): 0.23880335963, (1, 4): 0.00746260498843, (2, 4): 3.64385009201e-06, (8, 9): 0.00746260498843, (1, 8): 0.00746260498843, (8, 8): 3.64385009201e-06, (2, 3): 0.00746260498843, (1, 9): 0.23880335963, (1, 1): 0.0, }, ]
+28 Stop [{(1, 3): 0.228561862645, (2, 9): 0.0142851164153, (5, 6): 0.0, (2, 8): 1.39503089993e-05, (9, 8): 0.0142851164153, (9, 3): 0.228561862645, (9, 9): 0.228561862645, (1, 4): 0.0142851164153, (2, 4): 1.39503089993e-05, (8, 9): 0.0142851164153, (1, 8): 0.0142851164153, (8, 8): 1.39503089993e-05, (2, 3): 0.0142851164153, (1, 9): 0.228561862645, (1, 1): 0.0, }, ]
+29 Stop [{(1, 3): 0.23880335963, (2, 9): 0.00746260498843, (5, 6): 0.0, (2, 8): 3.64385009201e-06, (9, 8): 0.00746260498843, (9, 3): 0.23880335963, (9, 9): 0.23880335963, (1, 4): 0.00746260498843, (2, 4): 3.64385009201e-06, (8, 9): 0.00746260498843, (1, 8): 0.00746260498843, (8, 8): 3.64385009201e-06, (2, 3): 0.00746260498843, (1, 9): 0.23880335963, (1, 1): 0.0, }, ]
+30 Stop [{(1, 3): 0.228569037015, (2, 9): 0.0142855648134, (5, 6): 0.0, (2, 8): 3.48768672203e-06, (9, 8): 0.0142855648134, (9, 3): 0.228569037015, (9, 9): 0.228569037015, (1, 4): 0.0142855648134, (2, 4): 3.48768672203e-06, (8, 9): 0.0142855648134, (1, 8): 0.0142855648134, (8, 8): 3.48768672203e-06, (2, 3): 0.0142855648134, (1, 9): 0.228569037015, (1, 1): 0.0, }, ]
+31 Stop [{(1, 3): 0.238805317514, (2, 9): 0.00746266617231, (5, 6): 0.0, (2, 8): 9.10969991738e-07, (9, 8): 0.00746266617231, (9, 3): 0.238805317514, (9, 9): 0.238805317514, (1, 4): 0.00746266617231, (2, 4): 9.10969991738e-07, (8, 9): 0.00746266617231, (1, 8): 0.00746266617231, (8, 8): 9.10969991738e-07, (2, 3): 0.00746266617231, (1, 9): 0.238805317514, (1, 1): 0.0, }, ]
+32 Stop [{(1, 3): 0.228569037015, (2, 9): 0.0142855648134, (5, 6): 0.0, (2, 8): 3.48768672203e-06, (9, 8): 0.0142855648134, (9, 3): 0.228569037015, (9, 9): 0.228569037015, (1, 4): 0.0142855648134, (2, 4): 3.48768672203e-06, (8, 9): 0.0142855648134, (1, 8): 0.0142855648134, (8, 8): 3.48768672203e-06, (2, 3): 0.0142855648134, (1, 9): 0.228569037015, (1, 1): 0.0, }, ]
+33 Stop [{(1, 3): 0.21052428694, (2, 9): 0.0263155358674, (5, 6): 0.0, (2, 8): 3.21234568694e-06, (9, 8): 0.0263155358674, (9, 3): 0.21052428694, (9, 9): 0.21052428694, (1, 4): 0.0263155358674, (2, 4): 3.21234568694e-06, (8, 9): 0.0263155358674, (1, 8): 0.0263155358674, (8, 8): 3.21234568694e-06, (2, 3): 0.0263155358674, (1, 9): 0.21052428694, (1, 1): 0.0, }, ]
+34 Stop [{(1, 3): 0.181816668562, (2, 9): 0.0454541671406, (5, 6): 0.0, (2, 8): 2.77430219364e-06, (9, 8): 0.0454541671406, (9, 3): 0.181816668562, (9, 9): 0.181816668562, (1, 4): 0.0454541671406, (2, 4): 2.77430219364e-06, (8, 9): 0.0454541671406, (1, 8): 0.0454541671406, (8, 8): 2.77430219364e-06, (2, 3): 0.0454541671406, (1, 9): 0.181816668562, (1, 1): 0.0, }, ]
+35 Stop [{(1, 3): 0.142856208652, (2, 9): 0.0714281043258, (5, 6): 0.0, (2, 8): 2.17981275408e-06, (9, 8): 0.0714281043258, (9, 3): 0.142856208652, (9, 9): 0.142856208652, (1, 4): 0.0714281043258, (2, 4): 2.17981275408e-06, (8, 9): 0.0714281043258, (1, 8): 0.0714281043258, (8, 8): 2.17981275408e-06, (2, 3): 0.0714281043258, (1, 9): 0.142856208652, (1, 1): 0.0, }, ]
+36 Stop [{(1, 3): 0.181817803502, (2, 9): 0.0454544508755, (5, 6): 0.0, (2, 8): 6.93579877861e-07, (9, 8): 0.0454544508755, (9, 3): 0.181817803502, (9, 9): 0.181817803502, (1, 4): 0.0454544508755, (2, 4): 6.93579877861e-07, (8, 9): 0.0454544508755, (1, 8): 0.0454544508755, (8, 8): 6.93579877861e-07, (2, 3): 0.0454544508755, (1, 9): 0.181817803502, (1, 1): 0.0, }, ]
+37 Stop [{(1, 3): 0.142856208652, (2, 9): 0.0714281043258, (5, 6): 0.0, (2, 8): 2.17981275408e-06, (9, 8): 0.0714281043258, (9, 3): 0.142856208652, (9, 9): 0.142856208652, (1, 4): 0.0714281043258, (2, 4): 2.17981275408e-06, (8, 9): 0.0714281043258, (1, 8): 0.0714281043258, (8, 8): 2.17981275408e-06, (2, 3): 0.0714281043258, (1, 9): 0.142856208652, (1, 1): 0.0, }, ]
+38 Stop [{(1, 3): 0.181817803502, (2, 9): 0.0454544508755, (5, 6): 0.0, (2, 8): 6.93579877861e-07, (9, 8): 0.0454544508755, (9, 3): 0.181817803502, (9, 9): 0.181817803502, (1, 4): 0.0454544508755, (2, 4): 6.93579877861e-07, (8, 9): 0.0454544508755, (1, 8): 0.0454544508755, (8, 8): 6.93579877861e-07, (2, 3): 0.0454544508755, (1, 9): 0.181817803502, (1, 1): 0.0, }, ]
+39 Stop [{(1, 3): 0.210526188985, (2, 9): 0.0263157736232, (5, 6): 0.0, (2, 8): 2.00773419366e-07, (9, 8): 0.0263157736232, (9, 3): 0.210526188985, (9, 9): 0.210526188985, (1, 4): 0.0263157736232, (2, 4): 2.00773419366e-07, (8, 9): 0.0263157736232, (1, 8): 0.0263157736232, (8, 8): 2.00773419366e-07, (2, 3): 0.0263157736232, (1, 9): 0.210526188985, (1, 1): 0.0, }, ]
+40 Stop [{(1, 3): 0.228571391203, (2, 9): 0.0142857119502, (5, 6): 0.0, (2, 8): 5.44956663139e-08, (9, 8): 0.0142857119502, (9, 3): 0.228571391203, (9, 9): 0.228571391203, (1, 4): 0.0142857119502, (2, 4): 5.44956663139e-08, (8, 9): 0.0142857119502, (1, 8): 0.0142857119502, (8, 8): 5.44956663139e-08, (2, 3): 0.0142857119502, (1, 9): 0.228571391203, (1, 1): 0.0, }, ]
+41 Stop [{(1, 3): 0.210526284088, (2, 9): 0.026315785511, (5, 6): 0.0, (2, 8): 5.01933775159e-08, (9, 8): 0.026315785511, (9, 3): 0.210526284088, (9, 9): 0.210526284088, (1, 4): 0.026315785511, (2, 4): 5.01933775159e-08, (8, 9): 0.026315785511, (1, 8): 0.026315785511, (8, 8): 5.01933775159e-08, (2, 3): 0.026315785511, (1, 9): 0.210526284088, (1, 1): 0.0, }, ]
+42 Stop [{(1, 3): 0.228571419229, (2, 9): 0.0142857137018, (5, 6): 0.0, (2, 8): 1.3623918249e-08, (9, 8): 0.0142857137018, (9, 3): 0.228571419229, (9, 9): 0.228571419229, (1, 4): 0.0142857137018, (2, 4): 1.3623918249e-08, (8, 9): 0.0142857137018, (1, 8): 0.0142857137018, (8, 8): 1.3623918249e-08, (2, 3): 0.0142857137018, (1, 9): 0.228571419229, (1, 1): 0.0, }, ]
+43 Stop [{(1, 3): 0.2388059676, (2, 9): 0.0074626864875, (5, 6): 0.0, (2, 8): 3.55848621726e-09, (9, 8): 0.0074626864875, (9, 3): 0.2388059676, (9, 9): 0.2388059676, (1, 4): 0.0074626864875, (2, 4): 3.55848621726e-09, (8, 9): 0.0074626864875, (1, 8): 0.0074626864875, (8, 8): 3.55848621726e-09, (2, 3): 0.0074626864875, (1, 9): 0.2388059676, (1, 1): 0.0, }, ]
+44 Stop [{(1, 3): 0.244274808493, (2, 9): 0.00381679388271, (5, 6): 0.0, (2, 8): 9.09994574239e-10, (9, 8): 0.00381679388271, (9, 3): 0.244274808493, (9, 9): 0.244274808493, (1, 4): 0.00381679388271, (2, 4): 9.09994574239e-10, (8, 9): 0.00381679388271, (1, 8): 0.00381679388271, (8, 8): 9.09994574239e-10, (2, 3): 0.00381679388271, (1, 9): 0.244274808493, (1, 1): 0.0, }, ]
+45 Stop [{(1, 3): 0.2388059676, (2, 9): 0.0074626864875, (5, 6): 0.0, (2, 8): 3.55848621726e-09, (9, 8): 0.0074626864875, (9, 3): 0.2388059676, (9, 9): 0.2388059676, (1, 4): 0.0074626864875, (2, 4): 3.55848621726e-09, (8, 9): 0.0074626864875, (1, 8): 0.0074626864875, (8, 8): 3.55848621726e-09, (2, 3): 0.0074626864875, (1, 9): 0.2388059676, (1, 1): 0.0, }, ]
+46 Stop [{(1, 3): 0.244274808493, (2, 9): 0.00381679388271, (5, 6): 0.0, (2, 8): 9.09994574239e-10, (9, 8): 0.00381679388271, (9, 3): 0.244274808493, (9, 9): 0.244274808493, (1, 4): 0.00381679388271, (2, 4): 9.09994574239e-10, (8, 9): 0.00381679388271, (1, 8): 0.00381679388271, (8, 8): 9.09994574239e-10, (2, 3): 0.00381679388271, (1, 9): 0.244274808493, (1, 1): 0.0, }, ]
+47 Stop [{(1, 3): 0.247104246934, (2, 9): 0.00193050192917, (5, 6): 0.0, (2, 8): 2.30133763453e-10, (9, 8): 0.00193050192917, (9, 3): 0.247104246934, (9, 9): 0.247104246934, (1, 4): 0.00193050192917, (2, 4): 2.30133763453e-10, (8, 9): 0.00193050192917, (1, 8): 0.00193050192917, (8, 8): 2.30133763453e-10, (2, 3): 0.00193050192917, (1, 9): 0.247104246934, (1, 1): 0.0, }, ]
+48 Stop [{(1, 3): 0.244274808493, (2, 9): 0.00381679388271, (5, 6): 0.0, (2, 8): 9.09994574239e-10, (9, 8): 0.00381679388271, (9, 3): 0.244274808493, (9, 9): 0.244274808493, (1, 4): 0.00381679388271, (2, 4): 9.09994574239e-10, (8, 9): 0.00381679388271, (1, 8): 0.00381679388271, (8, 8): 9.09994574239e-10, (2, 3): 0.00381679388271, (1, 9): 0.244274808493, (1, 1): 0.0, }, ]
+49 Stop [{(1, 3): 0.247104246934, (2, 9): 0.00193050192917, (5, 6): 0.0, (2, 8): 2.30133763453e-10, (9, 8): 0.00193050192917, (9, 3): 0.247104246934, (9, 9): 0.247104246934, (1, 4): 0.00193050192917, (2, 4): 2.30133763453e-10, (8, 9): 0.00193050192917, (1, 8): 0.00193050192917, (8, 8): 2.30133763453e-10, (2, 3): 0.00193050192917, (1, 9): 0.247104246934, (1, 1): 0.0, }, ]
+50 Stop [{(1, 3): 0.248543689277, (2, 9): 0.000970873786239, (5, 6): 0.0, (2, 8): 5.78685871505e-11, (9, 8): 0.000970873786239, (9, 3): 0.248543689277, (9, 9): 0.248543689277, (1, 4): 0.000970873786239, (2, 4): 5.78685871505e-11, (8, 9): 0.000970873786239, (1, 8): 0.000970873786239, (8, 8): 5.78685871505e-11, (2, 3): 0.000970873786239, (1, 9): 0.248543689277, (1, 1): 0.0, }, ]
+51 Stop [{(1, 3): 0.249269717613, (2, 9): 0.000486854917213, (5, 6): 0.0, (2, 8): 1.45094071988e-11, (9, 8): 0.000486854917213, (9, 3): 0.249269717613, (9, 9): 0.249269717613, (1, 4): 0.000486854917213, (2, 4): 1.45094071988e-11, (8, 9): 0.000486854917213, (1, 8): 0.000486854917213, (8, 8): 1.45094071988e-11, (2, 3): 0.000486854917213, (1, 9): 0.249269717613, (1, 1): 0.0, }, ]
+52 Stop [{(1, 3): 0.248543689277, (2, 9): 0.000970873786239, (5, 6): 0.0, (2, 8): 5.78685871505e-11, (9, 8): 0.000970873786239, (9, 3): 0.248543689277, (9, 9): 0.248543689277, (1, 4): 0.000970873786239, (2, 4): 5.78685871505e-11, (8, 9): 0.000970873786239, (1, 8): 0.000970873786239, (8, 8): 5.78685871505e-11, (2, 3): 0.000970873786239, (1, 9): 0.248543689277, (1, 1): 0.0, }, ]
+53 Stop [{(1, 3): 0.249269717613, (2, 9): 0.000486854917213, (5, 6): 0.0, (2, 8): 1.45094071988e-11, (9, 8): 0.000486854917213, (9, 3): 0.249269717613, (9, 9): 0.249269717613, (1, 4): 0.000486854917213, (2, 4): 1.45094071988e-11, (8, 9): 0.000486854917213, (1, 8): 0.000486854917213, (8, 8): 1.45094071988e-11, (2, 3): 0.000486854917213, (1, 9): 0.249269717613, (1, 1): 0.0, }, ]
+54 Stop [{(1, 3): 0.249634324717, (2, 9): 0.000243783520231, (5, 6): 0.0, (2, 8): 3.63265753137e-12, (9, 8): 0.000243783520231, (9, 3): 0.249634324717, (9, 9): 0.249634324717, (1, 4): 0.000243783520231, (2, 4): 3.63265753137e-12, (8, 9): 0.000243783520231, (1, 8): 0.000243783520231, (8, 8): 3.63265753137e-12, (2, 3): 0.000243783520231, (1, 9): 0.249634324717, (1, 1): 0.0, }, ]
+55 Stop [{(1, 3): 0.249817028543, (2, 9): 0.000121980970968, (5, 6): 0.0, (2, 8): 9.0882905549e-13, (9, 8): 0.000121980970968, (9, 3): 0.249817028543, (9, 9): 0.249817028543, (1, 4): 0.000121980970968, (2, 4): 9.0882905549e-13, (8, 9): 0.000121980970968, (1, 8): 0.000121980970968, (8, 8): 9.0882905549e-13, (2, 3): 0.000121980970968, (1, 9): 0.249817028543, (1, 1): 0.0, }, ]
+56 Stop [{(1, 3): 0.249908480781, (2, 9): 6.10128126906e-05, (5, 6): 0.0, (2, 8): 2.27290439198e-13, (9, 8): 6.10128126906e-05, (9, 3): 0.249908480781, (9, 9): 0.249908480781, (1, 4): 6.10128126906e-05, (2, 4): 2.27290439198e-13, (8, 9): 6.10128126906e-05, (1, 8): 6.10128126906e-05, (8, 8): 2.27290439198e-13, (2, 3): 6.10128126906e-05, (1, 9): 0.249908480781, (1, 1): 0.0, }, ]
+57 Stop [{(1, 3): 0.249954232013, (2, 9): 3.05119912125e-05, (5, 6): 0.0, (2, 8): 5.68330124254e-14, (9, 8): 3.05119912125e-05, (9, 3): 0.249954232013, (9, 9): 0.249954232013, (1, 4): 3.05119912125e-05, (2, 4): 5.68330124254e-14, (8, 9): 3.05119912125e-05, (1, 8): 3.05119912125e-05, (8, 8): 5.68330124254e-14, (2, 3): 3.05119912125e-05, (1, 9): 0.249954232013, (1, 1): 0.0, }, ]
+58 Stop [{(1, 3): 0.249977113912, (2, 9): 1.52573922065e-05, (5, 6): 0.0, (2, 8): 1.42095537917e-14, (9, 8): 1.52573922065e-05, (9, 3): 0.249977113912, (9, 9): 0.249977113912, (1, 4): 1.52573922065e-05, (2, 4): 1.42095537917e-14, (8, 9): 1.52573922065e-05, (1, 8): 1.52573922065e-05, (8, 8): 1.42095537917e-14, (2, 3): 1.52573922065e-05, (1, 9): 0.249977113912, (1, 1): 0.0, }, ]
+59 Stop [{(1, 3): 0.249988556432, (2, 9): 7.62904530127e-06, (5, 6): 0.0, (2, 8): 3.55255105592e-15, (9, 8): 7.62904530127e-06, (9, 3): 0.249988556432, (9, 9): 0.249988556432, (1, 4): 7.62904530127e-06, (2, 4): 3.55255105592e-15, (8, 9): 7.62904530127e-06, (1, 8): 7.62904530127e-06, (8, 8): 3.55255105592e-15, (2, 3): 7.62904530127e-06, (1, 9): 0.249988556432, (1, 1): 0.0, }, ]
+60 Stop [{(1, 3): 0.249994278085, (2, 9): 3.81460995613e-06, (5, 6): 0.0, (2, 8): 8.88158091375e-16, (9, 8): 3.81460995613e-06, (9, 3): 0.249994278085, (9, 9): 0.249994278085, (1, 4): 3.81460995613e-06, (2, 4): 8.88158091375e-16, (8, 9): 3.81460995613e-06, (1, 8): 3.81460995613e-06, (8, 8): 8.88158091375e-16, (2, 3): 3.81460995613e-06, (1, 9): 0.249994278085, (1, 1): 0.0, }, ]
+61 Stop [{(1, 3): 0.24999713901, (2, 9): 1.90732680519e-06, (5, 6): 0.0, (2, 8): 2.22042063855e-16, (9, 8): 1.90732680519e-06, (9, 3): 0.24999713901, (9, 9): 0.24999713901, (1, 4): 1.90732680519e-06, (2, 4): 2.22042063855e-16, (8, 9): 1.90732680519e-06, (1, 8): 1.90732680519e-06, (8, 8): 2.22042063855e-16, (2, 3): 1.90732680519e-06, (1, 9): 0.24999713901, (1, 1): 0.0, }, ]
+62 Stop [{(1, 3): 0.249994278085, (2, 9): 3.81460995613e-06, (5, 6): 0.0, (2, 8): 2.22039522844e-16, (9, 8): 3.81460995613e-06, (9, 3): 0.249994278085, (9, 9): 0.249994278085, (1, 4): 3.81460995613e-06, (2, 4): 2.22039522844e-16, (8, 9): 3.81460995613e-06, (1, 8): 3.81460995613e-06, (8, 8): 2.22039522844e-16, (2, 3): 3.81460995613e-06, (1, 9): 0.249994278085, (1, 1): 0.0, }, ]
+63 Stop [{(1, 3): 0.24999713901, (2, 9): 1.90732680519e-06, (5, 6): 0.0, (2, 8): 5.55105159638e-17, (9, 8): 1.90732680519e-06, (9, 3): 0.24999713901, (9, 9): 0.24999713901, (1, 4): 1.90732680519e-06, (2, 4): 5.55105159638e-17, (8, 9): 1.90732680519e-06, (1, 8): 1.90732680519e-06, (8, 8): 5.55105159638e-17, (2, 3): 1.90732680519e-06, (1, 9): 0.24999713901, (1, 1): 0.0, }, ]
+64 Stop [{(1, 3): 0.249998569497, (2, 9): 9.53668859469e-07, (5, 6): 0.0, (2, 8): 1.38777083989e-17, (9, 8): 9.53668859469e-07, (9, 3): 0.249998569497, (9, 9): 0.249998569497, (1, 4): 9.53668859469e-07, (2, 4): 1.38777083989e-17, (8, 9): 9.53668859469e-07, (1, 8): 9.53668859469e-07, (8, 8): 1.38777083989e-17, (2, 3): 9.53668859469e-07, (1, 9): 0.249998569497, (1, 1): 0.0, }, ]
+65 Stop [{(1, 3): 0.249999284746, (2, 9): 4.76835793965e-07, (5, 6): 0.0, (2, 8): 3.46943702581e-18, (9, 8): 4.76835793965e-07, (9, 3): 0.249999284746, (9, 9): 0.249999284746, (1, 4): 4.76835793965e-07, (2, 4): 3.46943702581e-18, (8, 9): 4.76835793965e-07, (1, 8): 4.76835793965e-07, (8, 8): 3.46943702581e-18, (2, 3): 4.76835793965e-07, (1, 9): 0.249999284746, (1, 1): 0.0, }, ]
+66 Stop [{(1, 3): 0.249999642373, (2, 9): 2.38418238042e-07, (5, 6): 0.0, (2, 8): 8.67360497219e-19, (9, 8): 2.38418238042e-07, (9, 3): 0.249999642373, (9, 9): 0.249999642373, (1, 4): 2.38418238042e-07, (2, 4): 8.67360497219e-19, (8, 9): 2.38418238042e-07, (1, 8): 2.38418238042e-07, (8, 8): 8.67360497219e-19, (2, 3): 2.38418238042e-07, (1, 9): 0.249999642373, (1, 1): 0.0, }, ]
+67 Stop [{(1, 3): 0.249999821186, (2, 9): 1.19209204286e-07, (5, 6): 0.0, (2, 8): 2.16840279401e-19, (9, 8): 1.19209204286e-07, (9, 3): 0.249999821186, (9, 9): 0.249999821186, (1, 4): 1.19209204286e-07, (2, 4): 2.16840279401e-19, (8, 9): 1.19209204286e-07, (1, 8): 1.19209204286e-07, (8, 8): 2.16840279401e-19, (2, 3): 1.19209204286e-07, (1, 9): 0.249999821186, (1, 1): 0.0, }, ]
+68 Stop [{(1, 3): 0.249999910593, (2, 9): 5.96046234591e-08, (5, 6): 0.0, (2, 8): 5.42100892372e-20, (9, 8): 5.96046234591e-08, (9, 3): 0.249999910593, (9, 9): 0.249999910593, (1, 4): 5.96046234591e-08, (2, 4): 5.42100892372e-20, (8, 9): 5.96046234591e-08, (1, 8): 5.96046234591e-08, (8, 8): 5.42100892372e-20, (2, 3): 5.96046234591e-08, (1, 9): 0.249999910593, (1, 1): 0.0, }, ]
+69 Stop [{(1, 3): 0.249999955297, (2, 9): 2.98023170586e-08, (5, 6): 0.0, (2, 8): 1.35525247327e-20, (9, 8): 2.98023170586e-08, (9, 3): 0.249999955297, (9, 9): 0.249999955297, (1, 4): 2.98023170586e-08, (2, 4): 1.35525247327e-20, (8, 9): 2.98023170586e-08, (1, 8): 2.98023170586e-08, (8, 8): 1.35525247327e-20, (2, 3): 2.98023170586e-08, (1, 9): 0.249999955297, (1, 1): 0.0, }, ]
+70 Stop [{(1, 3): 0.249999977648, (2, 9): 1.49011598616e-08, (5, 6): 0.0, (2, 8): 3.38813148609e-21, (9, 8): 1.49011598616e-08, (9, 3): 0.249999977648, (9, 9): 0.249999977648, (1, 4): 1.49011598616e-08, (2, 4): 3.38813148609e-21, (8, 9): 1.49011598616e-08, (1, 8): 1.49011598616e-08, (8, 8): 3.38813148609e-21, (2, 3): 1.49011598616e-08, (1, 9): 0.249999977648, (1, 1): 0.0, }, ]
+71 Stop [{(1, 3): 0.249999988824, (2, 9): 7.45058026386e-09, (5, 6): 0.0, (2, 8): 8.47032909389e-22, (9, 8): 7.45058026386e-09, (9, 3): 0.249999988824, (9, 9): 0.249999988824, (1, 4): 7.45058026386e-09, (2, 4): 8.47032909389e-22, (8, 9): 7.45058026386e-09, (1, 8): 7.45058026386e-09, (8, 8): 8.47032909389e-22, (2, 3): 7.45058026386e-09, (1, 9): 0.249999988824, (1, 1): 0.0, }, ]
+72 Stop [{(1, 3): 0.249999994412, (2, 9): 3.7252902152e-09, (5, 6): 0.0, (2, 8): 2.1175823208e-22, (9, 8): 3.7252902152e-09, (9, 3): 0.249999994412, (9, 9): 0.249999994412, (1, 4): 3.7252902152e-09, (2, 4): 2.1175823208e-22, (8, 9): 3.7252902152e-09, (1, 8): 3.7252902152e-09, (8, 8): 2.1175823208e-22, (2, 3): 3.7252902152e-09, (1, 9): 0.249999994412, (1, 1): 0.0, }, ]
+73 Stop [{(1, 3): 0.249999997206, (2, 9): 1.86264512841e-09, (5, 6): 0.0, (2, 8): 5.29395586117e-23, (9, 8): 1.86264512841e-09, (9, 3): 0.249999997206, (9, 9): 0.249999997206, (1, 4): 1.86264512841e-09, (2, 4): 5.29395586117e-23, (8, 9): 1.86264512841e-09, (1, 8): 1.86264512841e-09, (8, 8): 5.29395586117e-23, (2, 3): 1.86264512841e-09, (1, 9): 0.249999997206, (1, 1): 0.0, }, ]
+74 Stop [{(1, 3): 0.249999994412, (2, 9): 3.7252902152e-09, (5, 6): 0.0, (2, 8): 5.29395580201e-23, (9, 8): 3.7252902152e-09, (9, 3): 0.249999994412, (9, 9): 0.249999994412, (1, 4): 3.7252902152e-09, (2, 4): 5.29395580201e-23, (8, 9): 3.7252902152e-09, (1, 8): 3.7252902152e-09, (8, 8): 5.29395580201e-23, (2, 3): 3.7252902152e-09, (1, 9): 0.249999994412, (1, 1): 0.0, }, ]
+75 Stop [{(1, 3): 0.249999997206, (2, 9): 1.86264512841e-09, (5, 6): 0.0, (2, 8): 1.32348896529e-23, (9, 8): 1.86264512841e-09, (9, 3): 0.249999997206, (9, 9): 0.249999997206, (1, 4): 1.86264512841e-09, (2, 4): 1.32348896529e-23, (8, 9): 1.86264512841e-09, (1, 8): 1.86264512841e-09, (8, 8): 1.32348896529e-23, (2, 3): 1.86264512841e-09, (1, 9): 0.249999997206, (1, 1): 0.0, }, ]
+76 Stop [{(1, 3): 0.249999998603, (2, 9): 9.31322569411e-10, (5, 6): 0.0, (2, 8): 3.30872243172e-24, (9, 8): 9.31322569411e-10, (9, 3): 0.249999998603, (9, 9): 0.249999998603, (1, 4): 9.31322569411e-10, (2, 4): 3.30872243172e-24, (8, 9): 9.31322569411e-10, (1, 8): 9.31322569411e-10, (8, 8): 3.30872243172e-24, (2, 3): 9.31322569411e-10, (1, 9): 0.249999998603, (1, 1): 0.0, }, ]
+77 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 8.27180610242e-25, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 8.27180610242e-25, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 8.27180610242e-25, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+78 Stop [{(1, 3): 0.249999998603, (2, 9): 9.31322569411e-10, (5, 6): 0.0, (2, 8): 8.27180607931e-25, (9, 8): 9.31322569411e-10, (9, 3): 0.249999998603, (9, 9): 0.249999998603, (1, 4): 9.31322569411e-10, (2, 4): 8.27180607931e-25, (8, 9): 9.31322569411e-10, (1, 8): 9.31322569411e-10, (8, 8): 8.27180607931e-25, (2, 3): 9.31322569411e-10, (1, 9): 0.249999998603, (1, 1): 0.0, }, ]
+79 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 2.0679515256e-25, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 2.0679515256e-25, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 2.0679515256e-25, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+80 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 5.16987882123e-26, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 5.16987882123e-26, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 5.16987882123e-26, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+81 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 5.16987881401e-26, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 5.16987881401e-26, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 5.16987881401e-26, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+82 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 1.29246970531e-26, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 1.29246970531e-26, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 1.29246970531e-26, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+83 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 5.16987881401e-26, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 5.16987881401e-26, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 5.16987881401e-26, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+84 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 1.29246970531e-26, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 1.29246970531e-26, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 1.29246970531e-26, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+85 Stop [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 3.23117426553e-27, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 3.23117426553e-27, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 3.23117426553e-27, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+86 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 3.23117426327e-27, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 3.23117426327e-27, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 3.23117426327e-27, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+87 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 1.2924697035e-26, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 1.2924697035e-26, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 1.2924697035e-26, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+88 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 3.23117426327e-27, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 3.23117426327e-27, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 3.23117426327e-27, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+89 Stop [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 8.07793566382e-28, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 8.07793566382e-28, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 8.07793566382e-28, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+90 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 8.07793565818e-28, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 8.07793565818e-28, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 8.07793565818e-28, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+91 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 3.23117425876e-27, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 3.23117425876e-27, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 3.23117425876e-27, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+92 Stop [{(1, 3): 0.249999998603, (2, 9): 9.31322569411e-10, (5, 6): 0.0, (2, 8): 1.29246969989e-26, (9, 8): 9.31322569411e-10, (9, 3): 0.249999998603, (9, 9): 0.249999998603, (1, 4): 9.31322569411e-10, (2, 4): 1.29246969989e-26, (8, 9): 9.31322569411e-10, (1, 8): 9.31322569411e-10, (8, 8): 1.29246969989e-26, (2, 3): 9.31322569411e-10, (1, 9): 0.249999998603, (1, 1): 0.0, }, ]
+93 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 3.23117425876e-27, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 3.23117425876e-27, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 3.23117425876e-27, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+94 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 8.07793565818e-28, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 8.07793565818e-28, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 8.07793565818e-28, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+95 Stop [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 2.01948391596e-28, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 2.01948391596e-28, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 2.01948391596e-28, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+96 Stop [{(1, 3): 0.249999999913, (2, 9): 5.82076608931e-11, (5, 6): 0.0, (2, 8): 5.04870979165e-29, (9, 8): 5.82076608931e-11, (9, 3): 0.249999999913, (9, 9): 0.249999999913, (1, 4): 5.82076608931e-11, (2, 4): 5.04870979165e-29, (8, 9): 5.82076608931e-11, (1, 8): 5.82076608931e-11, (8, 8): 5.04870979165e-29, (2, 3): 5.82076608931e-11, (1, 9): 0.249999999913, (1, 1): 0.0, }, ]
+97 Stop [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 2.01948391596e-28, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 2.01948391596e-28, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 2.01948391596e-28, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+98 Stop [{(1, 3): 0.249999999913, (2, 9): 5.82076608931e-11, (5, 6): 0.0, (2, 8): 5.04870979165e-29, (9, 8): 5.82076608931e-11, (9, 3): 0.249999999913, (9, 9): 0.249999999913, (1, 4): 5.82076608931e-11, (2, 4): 5.04870979165e-29, (8, 9): 5.82076608931e-11, (1, 8): 5.82076608931e-11, (8, 8): 5.04870979165e-29, (2, 3): 5.82076608931e-11, (1, 9): 0.249999999913, (1, 1): 0.0, }, ]
+99 Stop [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 2.01948391596e-28, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 2.01948391596e-28, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 2.01948391596e-28, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+100 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 8.07793565818e-28, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 8.07793565818e-28, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 8.07793565818e-28, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+101 None [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 2.01948391596e-28, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 2.01948391596e-28, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 2.01948391596e-28, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+"""
diff --git a/tracking/test_cases/q6/2-ExactUpdate.test b/tracking/test_cases/q6/2-ExactUpdate.test
new file mode 100644
index 0000000..bfd652d
--- /dev/null
+++ b/tracking/test_cases/q6/2-ExactUpdate.test
@@ -0,0 +1,31 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+layout: """
+%%%%%%%%%%%
+%  %%%%%  %
+%  %%%%%  %
+%%%%%%%%%%%
+%%%%%P%%%%%
+%%%%%%%%%%%
+%  %%%%%%%%
+%  %%%%%%G%
+%%%%%%%%%%%
+% %%%%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+checkUniform: "False"
+maxMoves: "100"
+numParticles: "5000"
+numGhosts: "1"
+
+ghost: "SeededRandomGhostAgent"
+inference: "ExactInference"
+errorMsg: "Exact inference stationary pacman observe test: %d inference errors."
+L2Tolerance: "0.0001"
+
diff --git a/tracking/test_cases/q6/3-ExactUpdate.solution b/tracking/test_cases/q6/3-ExactUpdate.solution
new file mode 100644
index 0000000..2013e29
--- /dev/null
+++ b/tracking/test_cases/q6/3-ExactUpdate.solution
@@ -0,0 +1,105 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(4, 7): 0.0454545454545, (1, 3): 0.0454545454545, (6, 6): 0.0454545454545, (5, 6): 0.0454545454545, (2, 8): 0.0454545454545, (9, 8): 0.0454545454545, (8, 9): 0.0454545454545, (6, 7): 0.0454545454545, (5, 5): 0.0454545454545, (2, 9): 0.0454545454545, (4, 5): 0.0454545454545, (9, 3): 0.0454545454545, (1, 4): 0.0454545454545, (2, 3): 0.0454545454545, (1, 9): 0.0454545454545, (6, 5): 0.0454545454545, (4, 6): 0.0454545454545, (5, 7): 0.0454545454545, (9, 9): 0.0454545454545, (1, 8): 0.0454545454545, (8, 8): 0.0454545454545, (2, 4): 0.0454545454545, }, ]
+1 South [{(4, 7): 0.00393700787402, (1, 3): 0.125984251969, (6, 6): 0.00196850393701, (5, 6): 0.0, (2, 8): 0.0314960629921, (9, 8): 0.0629921259843, (8, 9): 0.0629921259843, (6, 7): 0.00393700787402, (5, 5): 0.00196850393701, (2, 9): 0.0629921259843, (1, 1): 0.0, (4, 5): 0.00393700787402, (9, 3): 0.125984251969, (1, 4): 0.0629921259843, (2, 3): 0.0629921259843, (1, 9): 0.125984251969, (6, 5): 0.00393700787402, (4, 6): 0.00196850393701, (5, 7): 0.00196850393701, (9, 9): 0.125984251969, (1, 8): 0.0629921259843, (8, 8): 0.0314960629921, (2, 4): 0.0314960629921, }, ]
+2 East [{(4, 7): 0.00864164191196, (1, 3): 0.138266270591, (6, 6): 0.00216041047799, (5, 6): 0.0, (2, 8): 0.0345665676479, (9, 8): 0.0345665676479, (8, 9): 0.0345665676479, (6, 7): 0.00864164191196, (5, 5): 0.0, (2, 9): 0.0345665676479, (1, 1): 0.0, (4, 5): 0.00418579530111, (9, 3): 0.138266270591, (1, 4): 0.138266270591, (2, 3): 0.138266270591, (1, 9): 0.0345665676479, (6, 5): 0.00418579530111, (4, 6): 0.00216041047799, (5, 7): 0.00216041047799, (9, 9): 0.0345665676479, (1, 8): 0.0345665676479, (8, 8): 0.0345665676479, (2, 4): 0.138266270591, }, ]
+3 West [{(4, 7): 0.00214745283573, (1, 3): 0.274873962973, (6, 6): 0.000100661851675, (5, 6): 0.0, (2, 8): 0.0687184907433, (9, 8): 0.0343592453717, (8, 9): 0.0343592453717, (6, 7): 0.000536863208932, (5, 5): 0.0, (2, 9): 0.0343592453717, (1, 1): 0.0, (4, 5): 0.000260043116826, (9, 3): 0.0687184907433, (1, 4): 0.137436981487, (2, 3): 0.137436981487, (1, 9): 0.0171796226858, (6, 5): 0.0, (4, 6): 0.000268431604466, (5, 7): 0.000268431604466, (9, 9): 0.0687184907433, (1, 8): 0.0343592453717, (8, 8): 0.0171796226858, (2, 4): 0.0687184907433, }, ]
+4 East [{(4, 7): 0.000223143123433, (1, 3): 0.228498558395, (6, 6): 5.22991695546e-06, (5, 6): 0.0, (2, 8): 0.0571246395988, (9, 8): 0.0571246395988, (8, 9): 0.0571246395988, (6, 7): 5.57857808582e-05, (5, 5): 0.0, (2, 9): 0.0571246395988, (1, 1): 0.0, (4, 5): 6.7553094008e-06, (9, 3): 0.0571246395988, (1, 4): 0.0571246395988, (2, 3): 0.0571246395988, (1, 9): 0.0571246395988, (6, 5): 0.0, (4, 6): 1.39464452145e-05, (5, 7): 1.39464452145e-05, (9, 9): 0.228498558395, (1, 8): 0.0571246395988, (8, 8): 0.0142811598997, (2, 4): 0.0142811598997, }, ]
+5 North [{(4, 7): 0.000322046872051, (1, 3): 0.16488799849, (6, 6): 1.76905630399e-06, (5, 6): 0.0, (2, 8): 0.0412219996225, (9, 8): 0.082443999245, (8, 9): 0.082443999245, (6, 7): 2.01279295032e-05, (5, 5): 0.0, (2, 9): 0.0206109998113, (1, 1): 0.0, (4, 5): 2.43736646328e-06, (9, 3): 0.16488799849, (1, 4): 0.082443999245, (2, 3): 0.082443999245, (1, 9): 0.0103054999056, (6, 5): 0.0, (4, 6): 1.00639647516e-05, (5, 7): 1.00639647516e-05, (9, 9): 0.16488799849, (1, 8): 0.0206109998113, (8, 8): 0.0412219996225, (2, 4): 0.0412219996225, }, ]
+6 South [{(4, 7): 3.68499725789e-05, (1, 3): 0.150937487683, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0377343719208, (9, 8): 0.0377343719208, (8, 9): 0.0377343719208, (6, 7): 8.63671232318e-07, (5, 5): 0.0, (2, 9): 0.0377343719208, (1, 1): 0.0, (4, 5): 2.78893835436e-07, (9, 3): 0.150937487683, (1, 4): 0.150937487683, (2, 3): 0.150937487683, (1, 9): 0.0094335929802, (6, 5): 0.0, (4, 6): 5.75780821545e-07, (5, 7): 5.75780821545e-07, (9, 9): 0.150937487683, (1, 8): 0.0377343719208, (8, 8): 0.0094335929802, (2, 4): 0.0377343719208, }, ]
+7 Stop [{(4, 7): 0.000152973182823, (1, 3): 0.0783222696052, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0195805674013, (9, 8): 0.0391611348026, (8, 9): 0.0391611348026, (6, 7): 3.5853089724e-06, (5, 5): 0.0, (2, 9): 0.00979028370064, (1, 1): 0.0, (4, 5): 1.15775602234e-06, (9, 3): 0.313289078421, (1, 4): 0.15664453921, (2, 3): 0.15664453921, (1, 9): 0.00122378546258, (6, 5): 0.0, (4, 6): 4.78041196321e-06, (5, 7): 4.78041196321e-06, (9, 9): 0.0783222696052, (1, 8): 0.00979028370064, (8, 8): 0.0195805674013, (2, 4): 0.0783222696052, }, ]
+8 North [{(4, 7): 0.00046788244328, (1, 3): 0.0299444763699, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.00748611909247, (9, 8): 0.0299444763699, (8, 9): 0.0299444763699, (6, 7): 2.74149869109e-06, (5, 5): 0.0, (2, 9): 0.00187152977312, (1, 1): 0.0, (4, 5): 8.85275618998e-07, (9, 3): 0.479111621918, (1, 4): 0.11977790548, (2, 3): 0.11977790548, (1, 9): 0.00011697061082, (6, 5): 0.0, (4, 6): 7.31066317624e-06, (5, 7): 7.31066317624e-06, (9, 9): 0.0299444763699, (1, 8): 0.00187152977312, (8, 8): 0.0299444763699, (2, 4): 0.11977790548, }, ]
+9 South [{(4, 7): 4.9127930802e-05, (1, 3): 0.0251535005706, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.00628837514265, (9, 8): 0.0125767502853, (8, 9): 0.0125767502853, (6, 7): 1.07947113579e-07, (5, 5): 0.0, (2, 9): 0.00314418757133, (1, 1): 0.0, (4, 5): 9.29544589149e-08, (9, 3): 0.40245600913, (1, 4): 0.201228004565, (2, 3): 0.201228004565, (1, 9): 9.8255861604e-05, (6, 5): 0.0, (4, 6): 3.83811959391e-07, (5, 7): 3.83811959391e-07, (9, 9): 0.0251535005706, (1, 8): 0.00314418757133, (8, 8): 0.00628837514265, (2, 4): 0.100614002282, }, ]
+10 West [{(4, 7): 0.000133101778699, (1, 3): 0.00851851383675, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.00212962845919, (9, 8): 0.00851851383675, (8, 9): 0.00851851383675, (6, 7): 1.16983985185e-06, (5, 5): 0.0, (2, 9): 0.000532407114797, (1, 1): 0.0, (4, 5): 1.00736209465e-06, (9, 3): 0.545184885552, (1, 4): 0.136296221388, (2, 3): 0.136296221388, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 2.07971529218e-06, (5, 7): 2.07971529218e-06, (9, 9): 0.00851851383675, (1, 8): 0.000532407114797, (8, 8): 0.00851851383675, (2, 4): 0.136296221388, }, ]
+11 East [{(4, 7): 0.00015976921452, (1, 3): 0.00511261486465, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.00127815371616, (9, 8): 0.00255630743232, (8, 9): 0.00255630743232, (6, 7): 1.40422161199e-06, (5, 5): 0.0, (2, 9): 0.00015976921452, (1, 1): 0.0, (4, 5): 5.85701809517e-07, (9, 3): 0.327207351338, (1, 4): 0.163603675669, (2, 3): 0.163603675669, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 1.24819698844e-06, (5, 7): 1.24819698844e-06, (9, 9): 0.00127815371616, (1, 8): 0.00015976921452, (8, 8): 0.00511261486465, (2, 4): 0.327207351338, }, ]
+12 North [{(4, 7): 0.000385931123825, (1, 3): 0.0015437244953, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.000385931123825, (9, 8): 0.0015437244953, (8, 9): 0.0015437244953, (6, 7): 8.47993191999e-07, (5, 5): 0.0, (2, 9): 2.41206952391e-05, (1, 1): 0.0, (4, 5): 3.53698549267e-07, (9, 3): 0.395193470797, (1, 4): 0.0987983676992, (2, 3): 0.0987983676992, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 1.50754345244e-06, (5, 7): 1.50754345244e-06, (9, 9): 0.000385931123825, (1, 8): 2.41206952391e-05, (8, 8): 0.0061748979812, (2, 4): 0.395193470797, }, ]
+13 West [{(4, 7): 4.05005779962e-05, (1, 3): 0.00129601849588, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.00032400462397, (9, 8): 0.00064800924794, (8, 9): 0.00064800924794, (6, 7): 3.33714479339e-08, (5, 5): 0.0, (2, 9): 4.05005779962e-05, (1, 1): 0.0, (4, 5): 3.71180109543e-08, (9, 3): 0.331780734945, (1, 4): 0.165890367473, (2, 3): 0.165890367473, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 7.91026913989e-08, (5, 7): 7.91026913989e-08, (9, 9): 0.00032400462397, (1, 8): 4.05005779962e-05, (8, 8): 0.00129601849588, (2, 4): 0.331780734945, }, ]
+14 Stop [{(4, 7): 0.000555126164104, (1, 3): 0.000555126164104, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.000555126164104, (9, 8): 0.000555126164104, (8, 9): 0.000555126164104, (6, 7): 4.57409864222e-07, (5, 5): 0.0, (2, 9): 3.46953852565e-05, (1, 1): 0.0, (4, 5): 5.08762592034e-07, (9, 3): 0.142112298011, (1, 4): 0.142112298011, (2, 3): 0.142112298011, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 4.31998205098e-06, (5, 7): 4.31998205098e-06, (9, 9): 0.000138781541026, (1, 8): 3.46953852565e-05, (8, 8): 0.00222050465642, (2, 4): 0.568449192043, }, ]
+15 West [{(4, 7): 4.05005652565e-05, (1, 3): 0.00129601808821, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.000324004522052, (9, 8): 0.000648009044104, (8, 9): 0.000648009044104, (6, 7): 3.33714374367e-08, (5, 5): 0.0, (2, 9): 4.05005652565e-05, (1, 1): 0.0, (4, 5): 3.71179992786e-08, (9, 3): 0.331780630581, (1, 4): 0.165890315291, (2, 3): 0.165890315291, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 2.36381015177e-07, (5, 7): 2.36381015177e-07, (9, 9): 0.000324004522052, (1, 8): 4.05005652565e-05, (8, 8): 0.00129601808821, (2, 4): 0.331780630581, }, ]
+16 Stop [{(4, 7): 7.99743432144e-07, (1, 3): 0.000818937274515, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 5.11835796572e-05, (9, 8): 0.000818937274515, (8, 9): 0.000818937274515, (6, 7): 2.6358731284e-09, (5, 5): 0.0, (2, 9): 1.27958949143e-05, (1, 1): 0.0, (4, 5): 7.32949674883e-10, (9, 3): 0.838591769103, (1, 4): 0.052411985569, (2, 3): 0.052411985569, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 9.33538399643e-09, (9, 9): 0.000818937274515, (1, 8): 1.27958949143e-05, (8, 8): 0.000818937274515, (2, 4): 0.052411985569, }, ]
+17 Stop [{(4, 7): 7.29033685408e-09, (1, 3): 0.000238889758034, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 3.73265246929e-06, (9, 8): 0.000477779516069, (8, 9): 0.000477779516069, (6, 7): 9.61128393848e-11, (5, 5): 0.0, (2, 9): 1.86632623464e-06, (1, 1): 0.0, (4, 5): 6.68145534207e-12, (9, 3): 0.978492448909, (1, 4): 0.0076444722571, (2, 3): 0.0076444722571, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 1.70199819744e-10, (9, 9): 0.000955559032137, (1, 8): 1.86632623464e-06, (8, 8): 0.000238889758034, (2, 4): 0.00382223612855, }, ]
+18 East [{(4, 7): 5.79881817339e-11, (1, 3): 6.08050156498e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 2.37519592382e-07, (9, 8): 0.000243220062599, (8, 9): 0.000243220062599, (6, 7): 3.05797052113e-12, (5, 5): 0.0, (2, 9): 2.37519592382e-07, (1, 1): 0.0, (4, 5): 5.31450678313e-14, (9, 3): 0.996229376407, (1, 4): 0.000972880250398, (2, 3): 0.000972880250398, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 2.70757806558e-12, (9, 9): 0.000972880250398, (1, 8): 2.37519592382e-07, (8, 8): 6.08050156498e-05, (2, 4): 0.000243220062599, }, ]
+19 South [{(4, 7): 1.8147521519e-12, (1, 3): 6.08929776778e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 5.94657985135e-08, (9, 8): 0.000121785955356, (8, 9): 0.000121785955356, (6, 7): 9.56998205104e-14, (5, 5): 0.0, (2, 9): 1.18931597027e-07, (1, 1): 0.0, (4, 5): 1.66318589971e-15, (9, 3): 0.997670546273, (1, 4): 0.000487143821422, (2, 3): 0.000487143821422, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 4.23671080384e-14, (9, 9): 0.000974287642845, (1, 8): 1.18931597027e-07, (8, 8): 1.52232444194e-05, (2, 4): 6.08929776778e-05, }, ]
+20 West [{(4, 7): 2.26248113325e-13, (1, 3): 6.07330154695e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 5.93095854195e-08, (9, 8): 0.000242932061878, (8, 9): 0.000242932061878, (6, 7): 1.19310528511e-14, (5, 5): 0.0, (2, 9): 2.37238341678e-07, (1, 1): 0.0, (4, 5): 5.18380253089e-17, (9, 3): 0.995049725453, (1, 4): 0.000242932061878, (2, 3): 0.000242932061878, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 2.64098826132e-15, (9, 9): 0.00388691299005, (1, 8): 2.37238341678e-07, (8, 8): 1.51832538674e-05, (2, 4): 1.51832538674e-05, }, ]
+21 North [{(4, 7): 4.52283050598e-13, (1, 3): 0.000242817613857, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 2.37126576032e-07, (9, 8): 0.000121408806928, (8, 9): 0.000121408806928, (6, 7): 9.54034559856e-14, (5, 5): 0.0, (2, 9): 4.74253152064e-07, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.994580946357, (1, 4): 0.00194254091085, (2, 3): 0.00194254091085, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 1.05589762484e-14, (9, 9): 0.000971270455427, (1, 8): 4.74253152064e-07, (8, 8): 1.5176100866e-05, (2, 4): 6.07044034642e-05, }, ]
+22 East [{(4, 7): 0.0, (1, 3): 6.09344995784e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.09344995784e-05, (8, 9): 6.09344995784e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.95063472445e-08, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.998350841092, (1, 4): 0.000243737998314, (2, 3): 0.000243737998314, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 0.000974951993254, (1, 8): 5.95063472445e-08, (8, 8): 3.80840622365e-06, (2, 4): 0.0, }, ]
+23 East [{(4, 7): 0.0, (1, 3): 6.09532480849e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.04766240424e-05, (8, 9): 3.04766240424e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.97623281665e-08, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.998658016623, (1, 4): 0.00012190649617, (2, 3): 0.00012190649617, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 0.000975251969358, (1, 8): 2.97623281665e-08, (8, 8): 9.52394501327e-07, (2, 4): 0.0, }, ]
+24 South [{(4, 7): 0.0, (1, 3): 1.52398945435e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.0959578174e-05, (8, 9): 6.0959578174e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.48827095151e-08, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.998761728803, (1, 4): 6.0959578174e-05, (2, 3): 6.0959578174e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 0.000975353250784, (1, 8): 1.48827095151e-08, (8, 8): 3.80997363588e-06, (2, 4): 0.0, }, ]
+25 West [{(4, 7): 0.0, (1, 3): 1.52361796059e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 0.000121889436847, (8, 9): 0.000121889436847, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.43954082321e-09, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.998518266654, (1, 4): 0.000121889436847, (2, 3): 0.000121889436847, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 0.00097511549478, (1, 8): 7.43954082321e-09, (8, 8): 3.80904490148e-06, (2, 4): 0.0, }, ]
+26 Stop [{(4, 7): 0.0, (1, 3): 1.52454710287e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.0981884115e-05, (8, 9): 6.0981884115e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.72203882538e-09, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.99912718934, (1, 4): 0.00024392753646, (2, 3): 0.00024392753646, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 0.00024392753646, (1, 8): 3.72203882538e-09, (8, 8): 3.81136775719e-06, (2, 4): 0.0, }, ]
+27 East [{(4, 7): 0.0, (1, 3): 1.52417532022e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.04835064043e-05, (8, 9): 3.04835064043e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.86056557644e-09, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.998883537857, (1, 4): 0.000487736102469, (2, 3): 0.000487736102469, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 6.09670128086e-05, (1, 8): 1.86056557644e-09, (8, 8): 3.81043830054e-06, (2, 4): 0.0, }, ]
+28 West [{(4, 7): 0.0, (1, 3): 3.81263201061e-06, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.52505280424e-05, (8, 9): 1.52505280424e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.32704590491e-10, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999458605789, (1, 4): 0.000244008448679, (2, 3): 0.000244008448679, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.52505280424e-05, (1, 8): 2.32704590491e-10, (8, 8): 3.81263201061e-06, (2, 4): 0.0, }, ]
+29 Stop [{(4, 7): 0.0, (1, 3): 3.81344620779e-06, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.05075696623e-05, (8, 9): 3.05075696623e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 4.65508570287e-10, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999672042695, (1, 4): 0.000122030278649, (2, 3): 0.000122030278649, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.52537848312e-05, (1, 8): 4.65508570287e-10, (8, 8): 3.81344620779e-06, (2, 4): 0.0, }, ]
+30 West [{(4, 7): 0.0, (1, 3): 3.8126756196e-06, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.52507024784e-05, (8, 9): 1.52507024784e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.32707252173e-10, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999470037623, (1, 4): 0.000244011239654, (2, 3): 0.000244011239654, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.8126756196e-06, (1, 8): 2.32707252173e-10, (8, 8): 3.8126756196e-06, (2, 4): 0.0, }, ]
+31 East [{(4, 7): 0.0, (1, 3): 9.53538820727e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.05132422633e-05, (8, 9): 3.05132422633e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.16398781827e-10, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999857922483, (1, 4): 3.05132422633e-05, (2, 3): 3.05132422633e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.52566211316e-05, (1, 8): 1.16398781827e-10, (8, 8): 3.81415528291e-06, (2, 4): 0.0, }, ]
+32 East [{(4, 7): 0.0, (1, 3): 9.53520636459e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.52563301834e-05, (8, 9): 1.52563301834e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.81982810339e-11, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999838854896, (1, 4): 6.10253207334e-05, (2, 3): 6.10253207334e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.81408254584e-06, (1, 8): 5.81982810339e-11, (8, 8): 3.81408254584e-06, (2, 4): 0.0, }, ]
+33 West [{(4, 7): 0.0, (1, 3): 2.38399197068e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 7.62877430618e-06, (8, 9): 7.62877430618e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.27536612146e-12, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999918705859, (1, 4): 3.05150972247e-05, (2, 3): 3.05150972247e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 9.53596788272e-07, (1, 8): 7.27536612146e-12, (8, 8): 3.81438715309e-06, (2, 4): 0.0, }, ]
+34 North [{(4, 7): 0.0, (1, 3): 2.38386637378e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.81418619805e-06, (8, 9): 3.81418619805e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.63749141507e-12, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999866026703, (1, 4): 6.10269791689e-05, (2, 3): 6.10269791689e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38386637378e-07, (1, 8): 3.63749141507e-12, (8, 8): 3.81418619805e-06, (2, 4): 0.0, }, ]
+35 West [{(4, 7): 0.0, (1, 3): 2.3835572685e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 7.62738325921e-06, (8, 9): 7.62738325921e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.2740395157e-12, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999736378552, (1, 4): 0.000122038132147, (2, 3): 0.000122038132147, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.3835572685e-07, (1, 8): 7.2740395157e-12, (8, 8): 3.81369162961e-06, (2, 4): 0.0, }, ]
+36 North [{(4, 7): 0.0, (1, 3): 5.96022965241e-08, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.81454697754e-06, (8, 9): 3.81454697754e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 9.09458870301e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.99996060288, (1, 4): 1.52581879102e-05, (2, 3): 1.52581879102e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38409186096e-07, (1, 8): 9.09458870301e-13, (8, 8): 9.53636744385e-07, (2, 4): 0.0, }, ]
+37 East [{(4, 7): 0.0, (1, 3): 2.38344648745e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.05081150393e-05, (8, 9): 3.05081150393e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.81842535969e-12, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999689913608, (1, 4): 0.000122032460157, (2, 3): 0.000122032460157, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 9.53378594979e-07, (1, 8): 1.81842535969e-12, (8, 8): 3.81351437991e-06, (2, 4): 0.0, }, ]
+38 South [{(4, 7): 0.0, (1, 3): 2.38387489806e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.81419983689e-06, (8, 9): 3.81419983689e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.2734402638e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999869602043, (1, 4): 6.10271973903e-05, (2, 3): 6.10271973903e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38387489806e-07, (1, 8): 2.2734402638e-13, (8, 8): 2.38387489806e-07, (2, 4): 0.0, }, ]
+39 East [{(4, 7): 0.0, (1, 3): 2.38402990813e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.90722392651e-06, (8, 9): 1.90722392651e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.13679404646e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.99993461798, (1, 4): 3.05155828241e-05, (2, 3): 3.05155828241e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38402990813e-07, (1, 8): 1.13679404646e-13, (8, 8): 5.96007477033e-08, (2, 4): 0.0, }, ]
+40 West [{(4, 7): 0.0, (1, 3): 2.38388906977e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 9.53555627909e-07, (8, 9): 9.53555627909e-07, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.273453779e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999875546091, (1, 4): 6.10275601862e-05, (2, 3): 6.10275601862e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38388906977e-07, (1, 8): 2.273453779e-13, (8, 8): 1.48993066861e-08, (2, 4): 0.0, }, ]
+41 Stop [{(4, 7): 0.0, (1, 3): 2.38359359419e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.90687487535e-06, (8, 9): 1.90687487535e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 4.54634398306e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999751614649, (1, 4): 0.000122039992023, (2, 3): 0.000122039992023, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38359359419e-07, (1, 8): 4.54634398306e-13, (8, 8): 1.48974599637e-08, (2, 4): 0.0, }, ]
+42 North [{(4, 7): 0.0, (1, 3): 2.38388909641e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 9.53555638565e-07, (8, 9): 9.53555638565e-07, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.27345380441e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999875557264, (1, 4): 6.10275608682e-05, (2, 3): 6.10275608682e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38388909641e-07, (1, 8): 2.27345380441e-13, (8, 8): 3.72482671314e-09, (2, 4): 0.0, }, ]
+43 South [{(4, 7): 0.0, (1, 3): 2.38403900137e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.19201950068e-07, (8, 9): 1.19201950068e-07, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.84199595615e-14, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.99993843196, (1, 4): 3.05156992175e-05, (2, 3): 3.05156992175e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96009750342e-08, (1, 8): 2.84199595615e-14, (8, 8): 2.32816308727e-10, (2, 4): 0.0, }, ]
+44 South [{(4, 7): 0.0, (1, 3): 2.38411203882e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 5.96028009706e-08, (8, 9): 5.96028009706e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.42104151179e-14, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999969066088, (1, 4): 1.52583170485e-05, (2, 3): 1.52583170485e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96028009706e-08, (1, 8): 1.42104151179e-14, (8, 8): 5.82058603228e-11, (2, 4): 0.0, }, ]
+45 North [{(4, 7): 0.0, (1, 3): 2.38403953463e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.98004941828e-08, (8, 9): 2.98004941828e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.1049914796e-15, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999938655625, (1, 4): 3.05157060432e-05, (2, 3): 3.05157060432e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.49002470914e-08, (1, 8): 7.1049914796e-15, (8, 8): 5.82040902009e-11, (2, 4): 0.0, }, ]
+46 South [{(4, 7): 0.0, (1, 3): 2.38411235865e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.49007022416e-08, (8, 9): 1.49007022416e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.55260425605e-15, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999969200234, (1, 4): 1.52583190954e-05, (2, 3): 1.52583190954e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.49007022416e-08, (1, 8): 3.55260425605e-15, (8, 8): 1.45514670328e-11, (2, 4): 0.0, }, ]
+47 North [{(4, 7): 0.0, (1, 3): 2.38414855912e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.9801856989e-08, (8, 9): 2.9801856989e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.10531639791e-15, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999984383812, (1, 4): 7.62927538919e-06, (2, 3): 7.62927538919e-06, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96037139781e-08, (1, 8): 7.10531639791e-15, (8, 8): 1.45516879829e-11, (2, 4): 0.0, }, ]
+48 West [{(4, 7): 0.0, (1, 3): 2.38411203882e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 5.96028009706e-08, (8, 9): 5.96028009706e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.42104151179e-14, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999969066088, (1, 4): 1.52583170485e-05, (2, 3): 1.52583170485e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96028009706e-08, (1, 8): 1.42104151179e-14, (8, 8): 5.82058603228e-11, (2, 4): 0.0, }, ]
+49 Stop [{(4, 7): 0.0, (1, 3): 5.96044067437e-08, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.98022033718e-08, (8, 9): 2.98022033718e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.7763497455e-15, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.99999600649, (1, 4): 1.9073410158e-06, (2, 3): 1.9073410158e-06, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96044067437e-08, (1, 8): 1.7763497455e-15, (8, 8): 1.45518571152e-11, (2, 4): 0.0, }, ]
+50 South [{(4, 7): 0.0, (1, 3): 1.49011525341e-08, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.49011525341e-08, (8, 9): 1.49011525341e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.22044475884e-16, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999418851, (1, 4): 2.38418440545e-07, (2, 3): 2.38418440545e-07, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96046101362e-08, (1, 8): 2.22044475884e-16, (8, 8): 3.63797669289e-12, (2, 4): 0.0, }, ]
+51 Stop [{(4, 7): 0.0, (1, 3): 3.72528961844e-09, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.98023169475e-08, (8, 9): 2.98023169475e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.11022282196e-16, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999817457, (1, 4): 2.98023169475e-08, (2, 3): 2.98023169475e-08, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.9604633895e-08, (1, 8): 1.11022282196e-16, (8, 8): 3.637978143e-12, (2, 4): 0.0, }, ]
+52 Stop [{(4, 7): 0.0, (1, 3): 1.49011585293e-08, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.49011585293e-08, (8, 9): 1.49011585293e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.2204456522e-16, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999821182, (1, 4): 5.9604634117e-08, (2, 3): 5.9604634117e-08, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.49011585293e-08, (1, 8): 2.2204456522e-16, (8, 8): 3.63797815656e-12, (2, 4): 0.0, }, ]
+53 Stop [{(4, 7): 0.0, (1, 3): 3.72528978497e-09, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.98023182798e-08, (8, 9): 2.98023182798e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.11022287159e-16, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999862161, (1, 4): 7.45057956994e-09, (2, 3): 7.45057956994e-09, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96046365595e-08, (1, 8): 1.11022287159e-16, (8, 8): 3.63797830564e-12, (2, 4): 0.0, }, ]
+54 North [{(4, 7): 0.0, (1, 3): 9.31322530377e-10, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.4901160486e-08, (8, 9): 1.4901160486e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.55111485944e-17, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999952499, (1, 4): 9.31322530377e-10, (2, 3): 9.31322530377e-10, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.4901160486e-08, (1, 8): 5.55111485944e-17, (8, 8): 3.63797863428e-12, (2, 4): 0.0, }, ]
+55 North [{(4, 7): 0.0, (1, 3): 2.32830636606e-10, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 7.4505803714e-09, (8, 9): 7.4505803714e-09, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 6.93889369387e-18, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999969731, (1, 4): 1.16415318303e-10, (2, 3): 1.16415318303e-10, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.49011607428e-08, (1, 8): 6.93889369387e-18, (8, 8): 9.09494674244e-13, (2, 4): 0.0, }, ]
+56 East [{(4, 7): 0.0, (1, 3): 5.82076605831e-11, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 9.3132256933e-10, (8, 9): 9.3132256933e-10, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.16840433266e-19, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999994325, (1, 4): 1.45519151458e-11, (2, 3): 1.45519151458e-11, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.72529027732e-09, (1, 8): 2.16840433266e-19, (8, 8): 5.68434185382e-14, (2, 4): 0.0, }, ]
+57 Stop [{(4, 7): 0.0, (1, 3): 5.82076608415e-11, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.16415321683e-10, (8, 9): 1.16415321683e-10, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.71050542786e-20, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999998763, (1, 4): 7.27595760518e-12, (2, 3): 7.27595760518e-12, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 9.31322573464e-10, (1, 8): 2.71050542786e-20, (8, 8): 3.55271367441e-15, (2, 4): 0.0, }, ]
+58 South [{(4, 7): 0.0, (1, 3): 5.82076608944e-11, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.45519152236e-11, (8, 9): 1.45519152236e-11, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.38813178791e-21, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999673, (1, 4): 3.6379788059e-12, (2, 3): 3.6379788059e-12, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.32830643578e-10, (1, 8): 3.38813178791e-21, (8, 8): 2.22044604852e-16, (2, 4): 0.0, }, ]
+59 West [{(4, 7): 0.0, (1, 3): 5.82076608955e-11, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 7.27595761193e-12, (8, 9): 7.27595761193e-12, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.69406589398e-21, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999691, (1, 4): 1.81898940298e-12, (2, 3): 1.81898940298e-12, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.32830643582e-10, (1, 8): 1.69406589398e-21, (8, 8): 5.55111512141e-17, (2, 4): 0.0, }, ]
+60 South [{(4, 7): 0.0, (1, 3): 1.45519152247e-11, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.63797880616e-12, (8, 9): 3.63797880616e-12, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.1175823676e-22, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999745, (1, 4): 2.27373675385e-13, (2, 3): 2.27373675385e-13, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.32830643594e-10, (1, 8): 2.1175823676e-22, (8, 8): 1.38777878043e-17, (2, 4): 0.0, }, ]
+61 North [{(4, 7): 0.0, (1, 3): 3.63797880618e-12, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 7.27595761236e-12, (8, 9): 7.27595761236e-12, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.0587911838e-22, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999749, (1, 4): 2.84217094233e-14, (2, 3): 2.84217094233e-14, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.32830643595e-10, (1, 8): 1.0587911838e-22, (8, 8): 1.38777878043e-17, (2, 4): 0.0, }, ]
+62 North [{(4, 7): 0.0, (1, 3): 3.63797880613e-12, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.45519152245e-11, (8, 9): 1.45519152245e-11, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.29395591893e-23, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999734, (1, 4): 1.42108547114e-14, (2, 3): 1.42108547114e-14, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.32830643592e-10, (1, 8): 5.29395591893e-23, (8, 8): 1.38777878041e-17, (2, 4): 0.0, }, ]
+63 Stop [{(4, 7): 0.0, (1, 3): 9.09494701716e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.81898940343e-12, (8, 9): 1.81898940343e-12, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.654361225e-24, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999937, (1, 4): 1.77635683929e-15, (2, 3): 1.77635683929e-15, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.82076609098e-11, (1, 8): 1.654361225e-24, (8, 8): 8.67361737934e-19, (2, 4): 0.0, }, ]
+64 East [{(4, 7): 0.0, (1, 3): 2.2737367544e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.2737367544e-13, (8, 9): 2.2737367544e-13, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.16987882838e-26, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999985, (1, 4): 2.22044604922e-16, (2, 3): 2.22044604922e-16, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.45519152281e-11, (1, 8): 5.16987882838e-26, (8, 8): 5.42101086234e-20, (2, 4): 0.0, }, ]
+65 East [{(4, 7): 0.0, (1, 3): 2.27373675442e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.84217094303e-14, (8, 9): 2.84217094303e-14, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 6.46234853555e-27, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999996, (1, 4): 1.11022302462e-16, (2, 3): 1.11022302462e-16, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.63797880708e-12, (1, 8): 6.46234853555e-27, (8, 8): 3.388131789e-21, (2, 4): 0.0, }, ]
+66 Stop [{(4, 7): 0.0, (1, 3): 9.09494701771e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.55271367879e-15, (8, 9): 3.55271367879e-15, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.23117426778e-27, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999998, (1, 4): 2.22044604925e-16, (2, 3): 2.22044604925e-16, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 9.09494701771e-13, (1, 8): 3.23117426778e-27, (8, 8): 2.11758236813e-22, (2, 4): 0.0, }, ]
+67 West [{(4, 7): 0.0, (1, 3): 2.27373675443e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 4.4408920985e-16, (8, 9): 4.4408920985e-16, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.61558713389e-27, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.11022302462e-16, (2, 3): 1.11022302462e-16, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.27373675443e-13, (1, 8): 1.61558713389e-27, (8, 8): 1.32348898008e-23, (2, 4): 0.0, }, ]
+68 West [{(4, 7): 0.0, (1, 3): 2.27373675443e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 5.55111512312e-17, (8, 9): 5.55111512312e-17, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.01948391737e-28, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 5.55111512312e-17, (2, 3): 5.55111512312e-17, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.68434188608e-14, (1, 8): 2.01948391737e-28, (8, 8): 8.27180612553e-25, (2, 4): 0.0, }, ]
+69 Stop [{(4, 7): 0.0, (1, 3): 5.68434188608e-14, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.93889390391e-18, (8, 9): 6.93889390391e-18, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 6.31088724177e-30, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.93889390391e-18, (2, 3): 6.93889390391e-18, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.42108547152e-14, (1, 8): 6.31088724177e-30, (8, 8): 5.16987882846e-26, (2, 4): 0.0, }, ]
+70 East [{(4, 7): 0.0, (1, 3): 1.42108547152e-14, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 8.67361737988e-19, (8, 9): 8.67361737988e-19, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.97215226305e-31, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 8.67361737988e-19, (2, 3): 8.67361737988e-19, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.5527136788e-15, (1, 8): 1.97215226305e-31, (8, 8): 3.23117426779e-27, (2, 4): 0.0, }, ]
+71 Stop [{(4, 7): 0.0, (1, 3): 1.42108547152e-14, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.08420217249e-19, (8, 9): 1.08420217249e-19, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.46519032882e-32, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 4.33680868994e-19, (2, 3): 4.33680868994e-19, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 8.881784197e-16, (1, 8): 2.46519032882e-32, (8, 8): 2.01948391737e-28, (2, 4): 0.0, }, ]
+72 South [{(4, 7): 0.0, (1, 3): 1.42108547152e-14, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.35525271561e-20, (8, 9): 1.35525271561e-20, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.08148791102e-33, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 2.16840434497e-19, (2, 3): 2.16840434497e-19, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.22044604925e-16, (1, 8): 3.08148791102e-33, (8, 8): 1.26217744835e-29, (2, 4): 0.0, }, ]
+73 East [{(4, 7): 0.0, (1, 3): 1.42108547152e-14, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.77626357803e-21, (8, 9): 6.77626357803e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.54074395551e-33, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.08420217249e-19, (2, 3): 1.08420217249e-19, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.22044604925e-16, (1, 8): 1.54074395551e-33, (8, 8): 3.15544362088e-30, (2, 4): 0.0, }, ]
+74 West [{(4, 7): 0.0, (1, 3): 3.5527136788e-15, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.35525271561e-20, (8, 9): 1.35525271561e-20, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.70371977755e-34, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 5.42101086243e-20, (2, 3): 5.42101086243e-20, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.22044604925e-16, (1, 8): 7.70371977755e-34, (8, 8): 3.15544362088e-30, (2, 4): 0.0, }, ]
+75 Stop [{(4, 7): 0.0, (1, 3): 3.5527136788e-15, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.77626357803e-21, (8, 9): 6.77626357803e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.85185988877e-34, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 2.71050543121e-20, (2, 3): 2.71050543121e-20, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.22044604925e-16, (1, 8): 3.85185988877e-34, (8, 8): 7.88860905221e-31, (2, 4): 0.0, }, ]
+76 South [{(4, 7): 0.0, (1, 3): 3.5527136788e-15, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.38813178902e-21, (8, 9): 3.38813178902e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.92592994439e-34, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.35525271561e-20, (2, 3): 1.35525271561e-20, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.22044604925e-16, (1, 8): 1.92592994439e-34, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+77 East [{(4, 7): 0.0, (1, 3): 3.5527136788e-15, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.69406589451e-21, (8, 9): 1.69406589451e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 9.62964972194e-35, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.55111512313e-17, (1, 8): 9.62964972194e-35, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+78 Stop [{(4, 7): 0.0, (1, 3): 8.881784197e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 8.47032947254e-22, (8, 9): 8.47032947254e-22, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.20370621524e-35, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 3.38813178902e-21, (2, 3): 3.38813178902e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.38777878078e-17, (1, 8): 1.20370621524e-35, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+79 Stop [{(4, 7): 0.0, (1, 3): 8.881784197e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.69406589451e-21, (8, 9): 1.69406589451e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 6.01853107621e-36, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.38777878078e-17, (1, 8): 6.01853107621e-36, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+80 West [{(4, 7): 0.0, (1, 3): 2.22044604925e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 8.47032947254e-22, (8, 9): 8.47032947254e-22, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.52316384526e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 3.38813178902e-21, (2, 3): 3.38813178902e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.46944695195e-18, (1, 8): 7.52316384526e-37, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+81 North [{(4, 7): 0.0, (1, 3): 2.22044604925e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 4.23516473627e-22, (8, 9): 4.23516473627e-22, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.76158192263e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 8.67361737988e-19, (1, 8): 3.76158192263e-37, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+82 North [{(4, 7): 0.0, (1, 3): 2.22044604925e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.11758236814e-22, (8, 9): 2.11758236814e-22, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.88079096132e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 3.38813178902e-21, (2, 3): 3.38813178902e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 8.67361737988e-19, (1, 8): 1.88079096132e-37, (8, 8): 4.93038065763e-32, (2, 4): 0.0, }, ]
+83 East [{(4, 7): 0.0, (1, 3): 2.22044604925e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.69406589451e-21, (8, 9): 1.69406589451e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.50463276905e-36, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.46944695195e-18, (1, 8): 1.50463276905e-36, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+84 Stop [{(4, 7): 0.0, (1, 3): 2.22044604925e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.11758236814e-22, (8, 9): 2.11758236814e-22, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.52316384526e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.35525271561e-20, (2, 3): 1.35525271561e-20, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 8.67361737988e-19, (1, 8): 7.52316384526e-37, (8, 8): 1.23259516441e-32, (2, 4): 0.0, }, ]
+85 Stop [{(4, 7): 0.0, (1, 3): 5.55111512313e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.64697796017e-23, (8, 9): 2.64697796017e-23, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.76158192263e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.16840434497e-19, (1, 8): 3.76158192263e-37, (8, 8): 7.70371977755e-34, (2, 4): 0.0, }, ]
+86 South [{(4, 7): 0.0, (1, 3): 1.38777878078e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.32348898008e-23, (8, 9): 1.32348898008e-23, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.52316384526e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 3.38813178902e-21, (2, 3): 3.38813178902e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.16840434497e-19, (1, 8): 7.52316384526e-37, (8, 8): 1.92592994439e-34, (2, 4): 0.0, }, ]
+87 West [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.64697796017e-23, (8, 9): 2.64697796017e-23, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.76158192263e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.69406589451e-21, (2, 3): 1.69406589451e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.16840434497e-19, (1, 8): 3.76158192263e-37, (8, 8): 7.70371977755e-34, (2, 4): 0.0, }, ]
+88 Stop [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.32348898008e-23, (8, 9): 1.32348898008e-23, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.88079096132e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 8.47032947254e-22, (2, 3): 8.47032947254e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.16840434497e-19, (1, 8): 1.88079096132e-37, (8, 8): 1.92592994439e-34, (2, 4): 0.0, }, ]
+89 South [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.61744490042e-24, (8, 9): 6.61744490042e-24, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 9.40395480658e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 4.23516473627e-22, (2, 3): 4.23516473627e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.16840434497e-19, (1, 8): 9.40395480658e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+90 West [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.30872245021e-24, (8, 9): 3.30872245021e-24, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 4.70197740329e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 8.47032947254e-22, (2, 3): 8.47032947254e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.42101086243e-20, (1, 8): 4.70197740329e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+91 East [{(4, 7): 0.0, (1, 3): 1.38777878078e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.65436122511e-24, (8, 9): 1.65436122511e-24, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 9.40395480658e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.35525271561e-20, (1, 8): 9.40395480658e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+92 West [{(4, 7): 0.0, (1, 3): 1.38777878078e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 8.27180612553e-25, (8, 9): 8.27180612553e-25, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 4.70197740329e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.35525271561e-20, (2, 3): 1.35525271561e-20, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.38813178902e-21, (1, 8): 4.70197740329e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+93 East [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.65436122511e-24, (8, 9): 1.65436122511e-24, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.35098870164e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.69406589451e-21, (2, 3): 1.69406589451e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.35525271561e-20, (1, 8): 2.35098870164e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+94 North [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 8.27180612553e-25, (8, 9): 8.27180612553e-25, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.17549435082e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 8.47032947254e-22, (2, 3): 8.47032947254e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.38813178902e-21, (1, 8): 1.17549435082e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+95 South [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 4.13590306277e-25, (8, 9): 4.13590306277e-25, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.87747175411e-39, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 4.23516473627e-22, (2, 3): 4.23516473627e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.38813178902e-21, (1, 8): 5.87747175411e-39, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+96 Stop [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.06795153138e-25, (8, 9): 2.06795153138e-25, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.93873587706e-39, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 2.11758236814e-22, (2, 3): 2.11758236814e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 8.47032947254e-22, (1, 8): 2.93873587706e-39, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+97 Stop [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.03397576569e-25, (8, 9): 1.03397576569e-25, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.46936793853e-39, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 4.23516473627e-22, (2, 3): 4.23516473627e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.11758236814e-22, (1, 8): 1.46936793853e-39, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+98 West [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 5.16987882846e-26, (8, 9): 5.16987882846e-26, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.34683969264e-40, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 2.11758236814e-22, (2, 3): 2.11758236814e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.29395592034e-23, (1, 8): 7.34683969264e-40, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+99 North [{(4, 7): 0.0, (1, 3): 1.38777878078e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.58493941423e-26, (8, 9): 2.58493941423e-26, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.46936793853e-39, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.69406589451e-21, (2, 3): 1.69406589451e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.32348898008e-23, (1, 8): 1.46936793853e-39, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+100 Stop [{(4, 7): 0.0, (1, 3): 5.55111512313e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 5.16987882846e-26, (8, 9): 5.16987882846e-26, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.93873587706e-39, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 3.38813178902e-21, (2, 3): 3.38813178902e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.32348898008e-23, (1, 8): 2.93873587706e-39, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+101 None [{(4, 7): 0.0, (1, 3): 1.38777878078e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.58493941423e-26, (8, 9): 2.58493941423e-26, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.67341984632e-40, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 4.23516473627e-22, (2, 3): 4.23516473627e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.32348898008e-23, (1, 8): 3.67341984632e-40, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+"""
diff --git a/tracking/test_cases/q6/3-ExactUpdate.test b/tracking/test_cases/q6/3-ExactUpdate.test
new file mode 100644
index 0000000..b5db5ee
--- /dev/null
+++ b/tracking/test_cases/q6/3-ExactUpdate.test
@@ -0,0 +1,31 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+layout: """
+%%%%%%%%%%%
+%  %%%%%  %
+%  %%%%%  %
+%%%%   %%%%
+%%%% P %%%%
+%%%%   %%%%
+%  %%%%%%%%
+%  %%%%%%G%
+%%%%%%%%%%%
+% %%%%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+checkUniform: "False"
+maxMoves: "100"
+numParticles: "5000"
+numGhosts: "1"
+
+ghost: "SeededRandomGhostAgent"
+inference: "ExactInference"
+errorMsg: "Exact inference stationary pacman observe test: %d inference errors."
+L2Tolerance: "0.0001"
+
diff --git a/tracking/test_cases/q6/4-ExactUpdate.solution b/tracking/test_cases/q6/4-ExactUpdate.solution
new file mode 100644
index 0000000..c52578d
--- /dev/null
+++ b/tracking/test_cases/q6/4-ExactUpdate.solution
@@ -0,0 +1,12 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(7, 3): 0.142857142857, (1, 3): 0.142857142857, (3, 3): 0.142857142857, (6, 3): 0.142857142857, (2, 3): 0.142857142857, (4, 3): 0.142857142857, (5, 3): 0.142857142857, }, ]
+1 East [{(7, 3): 0.503937007874, (1, 3): 0.0, (3, 3): 0.0314960629921, (6, 3): 0.251968503937, (2, 3): 0.0236220472441, (4, 3): 0.0629921259843, (1, 1): 0.0, (5, 3): 0.125984251969, }, ]
+2 Stop [{(7, 3): 0.296467863347, (1, 3): 0.0, (3, 3): 0.0364794441228, (6, 3): 0.296467863347, (2, 3): 0.0, (4, 3): 0.0741169658367, (1, 1): 0.0, (5, 3): 0.296467863347, }, ]
+3 West [{(7, 3): 0.55779116876, (1, 3): 0.0, (3, 3): 0.00643448064549, (6, 3): 0.27889558438, (2, 3): 0.0, (4, 3): 0.0174309740238, (1, 1): 0.0, (5, 3): 0.13944779219, }, ]
+4 East [{(7, 3): 0.75922809802, (1, 3): 0.0, (3, 3): 0.000547386591056, (6, 3): 0.189807024505, (2, 3): 0.0, (4, 3): 0.00296573475789, (1, 1): 0.0, (5, 3): 0.0474517561262, }, ]
+5 East [{(7, 3): 0.639058345539, (1, 3): 0.0, (3, 3): 0.000223174264819, (6, 3): 0.319529172769, (2, 3): 0.0, (4, 3): 0.00124816083113, (1, 1): 0.0, (5, 3): 0.0399411465962, }, ]
+6 East [{(7, 3): 0.789828261525, (1, 3): 0.0, (3, 3): 0.0, (6, 3): 0.197457065381, (2, 3): 0.0, (4, 3): 0.000373606507984, (1, 1): 0.0, (5, 3): 0.0123410665863, }, ]
+7 Stop [{(7, 3): 0.552021563342, (1, 3): 0.0, (3, 3): 0.0, (6, 3): 0.276010781671, (2, 3): 0.0, (4, 3): 0.0, (1, 1): 0.0, (5, 3): 0.171967654987, }, ]
+8 None [{(7, 3): 0.0, (1, 3): 0.0, (3, 3): 0.0, (6, 3): 0.0, (2, 3): 0.0, (4, 3): 0.0, (1, 1): 0.0, (5, 3): 0.0, }, ]
+"""
diff --git a/tracking/test_cases/q6/4-ExactUpdate.test b/tracking/test_cases/q6/4-ExactUpdate.test
new file mode 100644
index 0000000..182c20f
--- /dev/null
+++ b/tracking/test_cases/q6/4-ExactUpdate.test
@@ -0,0 +1,25 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+layout: """
+%%%%%%%%%
+%P     G%
+%%%%%%%%%
+% %%%%%%%
+%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+checkUniform: "False"
+maxMoves: "50"
+numParticles: "5000"
+numGhosts: "1"
+
+ghost: "SeededRandomGhostAgent"
+inference: "ExactInference"
+errorMsg: "Exact inference stationary pacman observe test: %d inference errors."
+L2Tolerance: "0.0001"
+
diff --git a/tracking/test_cases/q6/CONFIG b/tracking/test_cases/q6/CONFIG
new file mode 100644
index 0000000..b4a7732
--- /dev/null
+++ b/tracking/test_cases/q6/CONFIG
@@ -0,0 +1,3 @@
+max_points: "2"
+class: "PassAllTestsQuestion"
+
diff --git a/tracking/test_cases/q7/1-ExactPredict.solution b/tracking/test_cases/q7/1-ExactPredict.solution
new file mode 100644
index 0000000..004a997
--- /dev/null
+++ b/tracking/test_cases/q7/1-ExactPredict.solution
@@ -0,0 +1,80 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(2, 7): 0.0588235294118, (4, 7): 0.0588235294118, (1, 3): 0.0588235294118, (3, 3): 0.0588235294118, (1, 6): 0.0588235294118, (5, 6): 0.0588235294118, (5, 7): 0.0588235294118, (5, 4): 0.0588235294118, (1, 4): 0.0588235294118, (1, 5): 0.0588235294118, (3, 5): 0.0588235294118, (2, 3): 0.0588235294118, (4, 3): 0.0588235294118, (1, 7): 0.0588235294118, (3, 7): 0.0588235294118, (5, 3): 0.0588235294118, (5, 5): 0.0588235294118, }, ]
+1 Stop [{(2, 7): 0.0588235294118, (4, 7): 0.0588235294118, (1, 3): 0.0588235294118, (3, 3): 0.0588235294118, (1, 6): 0.0588235294118, (5, 6): 0.0588235294118, (5, 7): 0.0588235294118, (5, 4): 0.0588235294118, (1, 4): 0.0588235294118, (1, 5): 0.0588235294118, (3, 5): 0.0588235294118, (2, 3): 0.0588235294118, (4, 3): 0.0588235294118, (1, 7): 0.0588235294118, (3, 7): 0.0588235294118, (5, 3): 0.0588235294118, (5, 5): 0.0588235294118, }, ]
+2 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+3 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+4 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+5 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+6 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+7 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+8 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+9 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+10 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+11 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+12 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+13 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+14 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+15 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+16 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+17 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+18 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+19 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+20 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+21 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+22 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+23 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+24 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+25 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+26 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+27 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+28 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+29 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+30 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+31 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+32 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+33 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+34 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+35 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+36 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+37 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+38 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+39 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+40 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+41 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+42 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+43 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+44 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+45 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+46 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+47 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+48 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+49 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+50 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+51 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+52 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+53 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+54 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+55 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+56 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+57 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+58 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+59 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+60 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+61 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+62 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+63 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+64 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+65 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+66 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+67 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+68 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+69 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+70 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+71 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+72 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+73 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+74 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+75 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+76 None [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+"""
diff --git a/tracking/test_cases/q7/1-ExactPredict.test b/tracking/test_cases/q7/1-ExactPredict.test
new file mode 100644
index 0000000..960576e
--- /dev/null
+++ b/tracking/test_cases/q7/1-ExactPredict.test
@@ -0,0 +1,29 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%
+%   G %
+% %%% %
+% %P% %
+% %%% %
+%     %
+%%%%%%%
+% %%%%%
+%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "75"
+numParticles: "5000"
+numGhosts: "1"
+ghost: "SeededRandomGhostAgent"
+errorMsg: "Exact inference elapseTime test: %d inference errors."
+inference: "ExactInference"
+L2Tolerance: "0.0001"
+
diff --git a/tracking/test_cases/q7/2-ExactPredict.solution b/tracking/test_cases/q7/2-ExactPredict.solution
new file mode 100644
index 0000000..90851ce
--- /dev/null
+++ b/tracking/test_cases/q7/2-ExactPredict.solution
@@ -0,0 +1,80 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(2, 7): 0.0588235294118, (4, 7): 0.0588235294118, (1, 3): 0.0588235294118, (3, 3): 0.0588235294118, (1, 6): 0.0588235294118, (5, 6): 0.0588235294118, (5, 7): 0.0588235294118, (5, 4): 0.0588235294118, (1, 4): 0.0588235294118, (1, 5): 0.0588235294118, (3, 5): 0.0588235294118, (2, 3): 0.0588235294118, (4, 3): 0.0588235294118, (1, 7): 0.0588235294118, (3, 7): 0.0588235294118, (5, 3): 0.0588235294118, (5, 5): 0.0588235294118, }, ]
+1 Stop [{(2, 7): 0.0588235294118, (4, 7): 0.0588235294118, (1, 3): 0.0588235294118, (3, 3): 0.0588235294118, (1, 6): 0.0588235294118, (5, 6): 0.0588235294118, (5, 7): 0.0588235294118, (5, 4): 0.0588235294118, (1, 4): 0.0588235294118, (1, 5): 0.0588235294118, (3, 5): 0.0588235294118, (2, 3): 0.0588235294118, (4, 3): 0.0588235294118, (1, 7): 0.0588235294118, (3, 7): 0.0588235294118, (5, 3): 0.0588235294118, (5, 5): 0.0588235294118, }, ]
+2 Stop [{(2.0, 7.0): 0.0539215686275, (4.0, 7.0): 0.0539215686275, (1.0, 3.0): 0.0686274509804, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0490196078431, (5.0, 4.0): 0.0637254901961, (1.0, 4.0): 0.0637254901961, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0490196078431, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0686274509804, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+3 Stop [{(2.0, 7.0): 0.0498366013072, (4.0, 7.0): 0.0498366013072, (1.0, 3.0): 0.0743464052288, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0539215686275, (5.0, 6.0): 0.0539215686275, (5.0, 7.0): 0.0449346405229, (5.0, 4.0): 0.0682189542484, (1.0, 4.0): 0.0682189542484, (1.0, 5.0): 0.0600490196078, (2.0, 3.0): 0.062091503268, (4.0, 3.0): 0.062091503268, (1.0, 7.0): 0.0449346405229, (3.0, 7.0): 0.0555555555556, (5.0, 3.0): 0.0743464052288, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0600490196078, }, ]
+4 Stop [{(2.0, 7.0): 0.046364379085, (4.0, 7.0): 0.046364379085, (1.0, 3.0): 0.0795887799564, (3.0, 3.0): 0.0610021786492, (1.0, 6.0): 0.0509599673203, (5.0, 6.0): 0.0509599673203, (5.0, 7.0): 0.0413262527233, (5.0, 4.0): 0.0718613834423, (1.0, 4.0): 0.0718613834423, (1.0, 5.0): 0.0590277777778, (2.0, 3.0): 0.0650871459695, (4.0, 3.0): 0.0650871459695, (1.0, 7.0): 0.0413262527233, (3.0, 7.0): 0.05174291939, (5.0, 3.0): 0.0795887799564, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0590277777778, }, ]
+5 Stop [{(2.0, 7.0): 0.0430339960058, (4.0, 7.0): 0.0430339960058, (1.0, 3.0): 0.0841560003631, (3.0, 3.0): 0.0637254901961, (1.0, 6.0): 0.0481600626362, (5.0, 6.0): 0.0481600626362, (5.0, 7.0): 0.0385263480392, (5.0, 4.0): 0.0740088280683, (1.0, 4.0): 0.0740088280683, (1.0, 5.0): 0.0582022739651, (2.0, 3.0): 0.0685593681917, (4.0, 3.0): 0.0685593681917, (1.0, 7.0): 0.0385263480392, (3.0, 7.0): 0.0481572258533, (5.0, 3.0): 0.0841560003631, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0582022739651, }, ]
+6 Stop [{(2.0, 7.0): 0.0400286609628, (4.0, 7.0): 0.0400286609628, (1.0, 3.0): 0.0879095368857, (3.0, 3.0): 0.0669480755265, (1.0, 6.0): 0.0458537581699, (5.0, 6.0): 0.0458537581699, (5.0, 7.0): 0.0360162680041, (5.0, 4.0): 0.0756553441207, (1.0, 4.0): 0.0756553441207, (1.0, 5.0): 0.0571328068264, (2.0, 3.0): 0.072146952917, (4.0, 3.0): 0.072146952917, (1.0, 7.0): 0.0360162680041, (3.0, 7.0): 0.0447417392883, (5.0, 3.0): 0.0879095368857, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0571328068264, }, ]
+7 Stop [{(2.0, 7.0): 0.0372608670847, (4.0, 7.0): 0.0372608670847, (1.0, 3.0): 0.0911798353279, (3.0, 3.0): 0.0704139937868, (1.0, 6.0): 0.0437547752511, (5.0, 6.0): 0.0437547752511, (5.0, 7.0): 0.0338103935311, (5.0, 4.0): 0.0767834184053, (1.0, 4.0): 0.0767834184053, (1.0, 5.0): 0.0561239168217, (2.0, 3.0): 0.0756681884431, (4.0, 3.0): 0.0756681884431, (1.0, 7.0): 0.0338103935311, (3.0, 7.0): 0.0415996870713, (5.0, 3.0): 0.0911798353279, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0561239168217, }, ]
+8 Stop [{(2.0, 7.0): 0.0347394497681, (4.0, 7.0): 0.0347394497681, (1.0, 3.0): 0.0940077171263, (3.0, 3.0): 0.0739167902243, (1.0, 6.0): 0.0418748697838, (5.0, 6.0): 0.0418748697838, (5.0, 7.0): 0.0318115812238, (5.0, 4.0): 0.0776510914548, (1.0, 4.0): 0.0776510914548, (1.0, 5.0): 0.0551042214323, (2.0, 3.0): 0.0790873391859, (4.0, 3.0): 0.0790873391859, (1.0, 7.0): 0.0318115812238, (3.0, 7.0): 0.0387071404136, (5.0, 3.0): 0.0940077171263, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0551042214323, }, ]
+9 Stop [{(2.0, 7.0): 0.0324350920332, (4.0, 7.0): 0.0324350920332, (1.0, 3.0): 0.0965238978315, (3.0, 3.0): 0.0773638228654, (1.0, 6.0): 0.0401505634159, (5.0, 6.0): 0.0401505634159, (5.0, 7.0): 0.0300014293413, (5.0, 4.0): 0.0783007892886, (1.0, 4.0): 0.0783007892886, (1.0, 5.0): 0.0541262631137, (2.0, 3.0): 0.0823372821789, (4.0, 3.0): 0.0823372821789, (1.0, 7.0): 0.0300014293413, (3.0, 7.0): 0.0360620133166, (5.0, 3.0): 0.0965238978315, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0541262631137, }, ]
+10 Stop [{(2.0, 7.0): 0.0303327257853, (4.0, 7.0): 0.0303327257853, (1.0, 3.0): 0.0987707879811, (3.0, 3.0): 0.0806794624077, (1.0, 6.0): 0.038569921303, (5.0, 6.0): 0.038569921303, (5.0, 7.0): 0.0283496955337, (5.0, 4.0): 0.0788129614895, (1.0, 4.0): 0.0788129614895, (1.0, 5.0): 0.0531820448086, (2.0, 3.0): 0.0854083342919, (4.0, 3.0): 0.0854083342919, (1.0, 7.0): 0.0283496955337, (3.0, 7.0): 0.0336440657943, (5.0, 3.0): 0.0987707879811, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0531820448086, }, ]
+11 Stop [{(2.0, 7.0): 0.0284130210766, (4.0, 7.0): 0.0284130210766, (1.0, 3.0): 0.100799521502, (3.0, 3.0): 0.0838320436638, (1.0, 6.0): 0.0371128392948, (5.0, 6.0): 0.0371128392948, (5.0, 7.0): 0.0268408128043, (5.0, 4.0): 0.0792178587704, (1.0, 4.0): 0.0792178587704, (1.0, 5.0): 0.052283712226, (2.0, 3.0): 0.0882861948936, (4.0, 3.0): 0.0882861948936, (1.0, 7.0): 0.0268408128043, (3.0, 7.0): 0.0314365057883, (5.0, 3.0): 0.100799521502, (1, 1): 0.0588235294118, (5.0, 5.0): 0.052283712226, }, ]
+12 Stop [{(2.0, 7.0): 0.0266600454894, (4.0, 7.0): 0.0266600454894, (1.0, 3.0): 0.102637501517, (3.0, 3.0): 0.086801477817, (1.0, 6.0): 0.0357695442823, (5.0, 6.0): 0.0357695442823, (5.0, 7.0): 0.0254594200503, (5.0, 4.0): 0.0795461613064, (1.0, 4.0): 0.0795461613064, (1.0, 5.0): 0.0514318123965, (2.0, 3.0): 0.0909725866866, (4.0, 3.0): 0.0909725866866, (1.0, 7.0): 0.0254594200503, (3.0, 7.0): 0.0294208493139, (5.0, 3.0): 0.102637501517, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0514318123965, }, ]
+13 Stop [{(2.0, 7.0): 0.0250584866137, (4.0, 7.0): 0.0250584866137, (1.0, 3.0): 0.104309776721, (3.0, 3.0): 0.0895822170634, (1.0, 6.0): 0.0345300491949, (5.0, 6.0): 0.0345300491949, (5.0, 7.0): 0.024193922913, (5.0, 4.0): 0.0798149470306, (1.0, 4.0): 0.0798149470306, (1.0, 5.0): 0.0506292655669, (2.0, 3.0): 0.0934705220069, (4.0, 3.0): 0.0934705220069, (1.0, 7.0): 0.024193922913, (3.0, 7.0): 0.0275803134309, (5.0, 3.0): 0.104309776721, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0506292655669, }, ]
+14 Stop [{(2.0, 7.0): 0.0235947474097, (4.0, 7.0): 0.0235947474097, (1.0, 3.0): 0.105834239758, (3.0, 3.0): 0.0921744203591, (1.0, 6.0): 0.0333867901469, (5.0, 6.0): 0.0333867901469, (5.0, 7.0): 0.0230338218982, (5.0, 4.0): 0.0800382951148, (1.0, 4.0): 0.0800382951148, (1.0, 5.0): 0.0498760777468, (2.0, 3.0): 0.0957875052638, (4.0, 3.0): 0.0957875052638, (1.0, 7.0): 0.0230338218982, (3.0, 7.0): 0.0258990955527, (5.0, 3.0): 0.105834239758, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0498760777468, }, ]
+15 Stop [{(2.0, 7.0): 0.0222564031287, (4.0, 7.0): 0.0222564031287, (1.0, 3.0): 0.107226395898, (3.0, 3.0): 0.0945831436289, (1.0, 6.0): 0.0323326279225, (5.0, 6.0): 0.0323326279225, (5.0, 7.0): 0.0219700688145, (5.0, 4.0): 0.0802256925714, (1.0, 4.0): 0.0802256925714, (1.0, 5.0): 0.0491719882889, (2.0, 3.0): 0.097932055127, (4.0, 3.0): 0.097932055127, (1.0, 7.0): 0.0219700688145, (3.0, 7.0): 0.0243628634574, (5.0, 3.0): 0.107226395898, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0491719882889, }, ]
+16 Stop [{(2.0, 7.0): 0.0210322727323, (4.0, 7.0): 0.0210322727323, (1.0, 3.0): 0.108498996627, (3.0, 3.0): 0.0968157512943, (1.0, 6.0): 0.0313611884601, (5.0, 6.0): 0.0313611884601, (5.0, 7.0): 0.0209944752272, (5.0, 4.0): 0.0803845492533, (1.0, 4.0): 0.0803845492533, (1.0, 5.0): 0.0485157341763, (2.0, 3.0): 0.0999138648846, (4.0, 3.0): 0.0999138648846, (1.0, 7.0): 0.0209944752272, (3.0, 7.0): 0.0229585565716, (5.0, 3.0): 0.108498996627, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0485157341763, }, ]
+17 Stop [{(2.0, 7.0): 0.0199122285748, (4.0, 7.0): 0.0199122285748, (1.0, 3.0): 0.109663228464, (3.0, 3.0): 0.0988811603545, (1.0, 6.0): 0.0304664682727, (5.0, 6.0): 0.0304664682727, (5.0, 7.0): 0.0200996734993, (5.0, 4.0): 0.0805203366106, (1.0, 4.0): 0.0805203366106, (1.0, 5.0): 0.0479056650875, (2.0, 3.0): 0.101742870935, (4.0, 3.0): 0.101742870935, (1.0, 7.0): 0.0200996734993, (3.0, 7.0): 0.0216743673454, (5.0, 3.0): 0.109663228464, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0479056650875, }, ]
+18 Stop [{(2.0, 7.0): 0.0188871170149, (4.0, 7.0): 0.0188871170149, (1.0, 3.0): 0.110728868105, (3.0, 3.0): 0.100788967408, (1.0, 6.0): 0.0296428700897, (5.0, 6.0): 0.0296428700897, (5.0, 7.0): 0.0192789449679, (5.0, 4.0): 0.0806373261844, (1.0, 4.0): 0.0806373261844, (1.0, 5.0): 0.0473397345609, (2.0, 3.0): 0.103429086585, (4.0, 3.0): 0.103429086585, (1.0, 7.0): 0.0192789449679, (3.0, 7.0): 0.020499608165, (5.0, 3.0): 0.110728868105, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0473397345609, }, ]
+19 Stop [{(2.0, 7.0): 0.0179486446353, (4.0, 7.0): 0.0179486446353, (1.0, 3.0): 0.111704647989, (3.0, 3.0): 0.102549046859, (1.0, 6.0): 0.0288851236466, (5.0, 6.0): 0.0288851236466, (5.0, 7.0): 0.018526159436, (5.0, 4.0): 0.0807388215282, (1.0, 4.0): 0.0807388215282, (1.0, 5.0): 0.0468157002311, (2.0, 3.0): 0.104982307366, (4.0, 3.0): 0.104982307366, (1.0, 7.0): 0.018526159436, (3.0, 7.0): 0.0194246140649, (5.0, 3.0): 0.111704647989, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0468157002311, }, ]
+20 Stop [{(2.0, 7.0): 0.0170892927591, (4.0, 7.0): 0.0170892927591, (1.0, 3.0): 0.112598395882, (3.0, 3.0): 0.10417122053, (1.0, 6.0): 0.0281882856874, (5.0, 6.0): 0.0281882856874, (5.0, 7.0): 0.0178357023157, (5.0, 4.0): 0.0808274381605, (1.0, 4.0): 0.0808274381605, (1.0, 5.0): 0.0463311922631, (2.0, 3.0): 0.106412000738, (4.0, 3.0): 0.106412000738, (1.0, 7.0): 0.0178357023157, (3.0, 7.0): 0.0184406344451, (5.0, 3.0): 0.112598395882, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0463311922631, }, ]
+21 Stop [{(2.0, 7.0): 0.016302234647, (4.0, 7.0): 0.016302234647, (1.0, 3.0): 0.11341718462, (3.0, 3.0): 0.105665074002, (1.0, 6.0): 0.0275477206455, (5.0, 6.0): 0.0275477206455, (5.0, 7.0): 0.0172024279205, (5.0, 4.0): 0.0809052542992, (1.0, 4.0): 0.0809052542992, (1.0, 5.0): 0.0458838004496, (2.0, 3.0): 0.107727205717, (4.0, 3.0): 0.107727205717, (1.0, 7.0): 0.0172024279205, (3.0, 7.0): 0.0175397399878, (5.0, 3.0): 0.11341718462, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0458838004496, }, ]
+22 Stop [{(2.0, 7.0): 0.0155812651917, (4.0, 7.0): 0.0155812651917, (1.0, 3.0): 0.114167423929, (3.0, 3.0): 0.107039828479, (1.0, 6.0): 0.026959094234, (5.0, 6.0): 0.026959094234, (5.0, 7.0): 0.0166216153572, (5.0, 4.0): 0.0809739420064, (1.0, 4.0): 0.0809739420064, (1.0, 5.0): 0.04547112401, (2.0, 3.0): 0.108936488113, (4.0, 3.0): 0.108936488113, (1.0, 7.0): 0.0166216153572, (3.0, 7.0): 0.0167147364273, (5.0, 3.0): 0.114167423929, (1, 1): 0.0588235294118, (5.0, 5.0): 0.04547112401, }, ]
+23 Stop [{(2.0, 7.0): 0.0149207377123, (4.0, 7.0): 0.0149207377123, (1.0, 3.0): 0.114854941684, (3.0, 3.0): 0.108304268235, (1.0, 6.0): 0.0264183622396, (5.0, 6.0): 0.0264183622396, (5.0, 7.0): 0.0160889324617, (5.0, 4.0): 0.0810348554828, (1.0, 4.0): 0.0810348554828, (1.0, 5.0): 0.0450908136211, (2.0, 3.0): 0.110047913507, (4.0, 3.0): 0.110047913507, (1.0, 7.0): 0.0160889324617, (3.0, 7.0): 0.0159590889369, (5.0, 3.0): 0.114854941684, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0450908136211, }, ]
+24 Stop [{(2.0, 7.0): 0.0143155086651, (4.0, 7.0): 0.0143155086651, (1.0, 3.0): 0.115485046138, (3.0, 3.0): 0.109466698416, (1.0, 6.0): 0.025921760196, (5.0, 6.0): 0.025921760196, (5.0, 7.0): 0.0156004029127, (5.0, 4.0): 0.0810891012425, (1.0, 4.0): 0.0810891012425, (1.0, 5.0): 0.0447405983958, (2.0, 3.0): 0.111069041142, (4.0, 3.0): 0.111069041142, (1.0, 7.0): 0.0156004029127, (3.0, 7.0): 0.0152668547871, (5.0, 3.0): 0.115485046138, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0447405983958, }, ]
+25 Stop [{(2.0, 7.0): 0.0137608885456, (4.0, 7.0): 0.0137608885456, (1.0, 3.0): 0.116062579715, (3.0, 3.0): 0.1105349269, (1.0, 6.0): 0.0254657911043, (5.0, 6.0): 0.0254657911043, (5.0, 7.0): 0.0151523769989, (5.0, 4.0): 0.081137589888, (1.0, 4.0): 0.081137589888, (1.0, 5.0): 0.0444183050076, (2.0, 3.0): 0.112006928565, (4.0, 3.0): 0.112006928565, (1.0, 7.0): 0.0151523769989, (3.0, 7.0): 0.0146326240391, (5.0, 3.0): 0.116062579715, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0444183050076, }, ]
+26 Stop [{(2.0, 7.0): 0.0132525984446, (4.0, 7.0): 0.0132525984446, (1.0, 3.0): 0.116591964371, (3.0, 3.0): 0.111516261344, (1.0, 6.0): 0.0250472125274, (5.0, 6.0): 0.0250472125274, (5.0, 7.0): 0.0147415048743, (5.0, 4.0): 0.0811810765473, (1.0, 4.0): 0.0811810765473, (1.0, 5.0): 0.044121869276, (2.0, 3.0): 0.11286814506, (4.0, 3.0): 0.11286814506, (1.0, 7.0): 0.0147415048743, (3.0, 7.0): 0.0140514670435, (5.0, 3.0): 0.116591964371, (1, 1): 0.0588235294118, (5.0, 5.0): 0.044121869276, }, ]
+27 Stop [{(2.0, 7.0): 0.0127867313813, (4.0, 7.0): 0.0127867313813, (1.0, 3.0): 0.117077241417, (3.0, 3.0): 0.112417517155, (1.0, 6.0): 0.024663022888, (5.0, 6.0): 0.024663022888, (5.0, 7.0): 0.0143647121653, (5.0, 4.0): 0.0812201918984, (1.0, 4.0): 0.0812201918984, (1.0, 5.0): 0.0438493427196, (2.0, 3.0): 0.113658790258, (4.0, 3.0): 0.113658790258, (1.0, 7.0): 0.0143647121653, (3.0, 7.0): 0.0135188879776, (5.0, 3.0): 0.117077241417, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0438493427196, }, ]
+28 Stop [{(2.0, 7.0): 0.0123597178276, (4.0, 7.0): 0.0123597178276, (1.0, 3.0): 0.117522106508, (3.0, 3.0): 0.113245032557, (1.0, 6.0): 0.0243104474846, (5.0, 6.0): 0.0243104474846, (5.0, 7.0): 0.0140191775571, (5.0, 4.0): 0.0812554664735, (1.0, 4.0): 0.0812554664735, (1.0, 5.0): 0.0435988950985, (2.0, 3.0): 0.114384516277, (4.0, 3.0): 0.114384516277, (1.0, 7.0): 0.0140191775571, (3.0, 7.0): 0.0130307835801, (5.0, 3.0): 0.117522106508, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0435988950985, }, ]
+29 Stop [{(2.0, 7.0): 0.0119682948585, (4.0, 7.0): 0.0119682948585, (1.0, 3.0): 0.117929940832, (3.0, 3.0): 0.11400468837, (1.0, 6.0): 0.0239869244243, (5.0, 6.0): 0.0239869244243, (5.0, 7.0): 0.013702312203, (5.0, 4.0): 0.0812873496702, (1.0, 4.0): 0.0812873496702, (1.0, 5.0): 0.0433688141353, (2.0, 3.0): 0.11505055178, (4.0, 3.0): 0.11505055178, (1.0, 7.0): 0.013702312203, (3.0, 7.0): 0.0125834064118, (5.0, 3.0): 0.117929940832, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0433688141353, }, ]
+30 Stop [{(2.0, 7.0): 0.0116094784742, (4.0, 7.0): 0.0116094784742, (1.0, 3.0): 0.118303839039, (3.0, 3.0): 0.114701930644, (1.0, 6.0): 0.0236900907414, (5.0, 6.0): 0.0236900907414, (5.0, 7.0): 0.0134117407763, (5.0, 4.0): 0.0813162247624, (1.0, 4.0): 0.0813162247624, (1.0, 5.0): 0.0431575031635, (2.0, 3.0): 0.115661726994, (4.0, 3.0): 0.115661726994, (1.0, 7.0): 0.0134117407763, (3.0, 7.0): 0.0121733320429, (5.0, 3.0): 0.118303839039, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0431575031635, }, ]
+31 Stop [{(2.0, 7.0): 0.0112805386998, (4.0, 7.0): 0.0112805386998, (1.0, 3.0): 0.118646634392, (3.0, 3.0): 0.115341794877, (1.0, 6.0): 0.0234177688644, (5.0, 6.0): 0.0234177688644, (5.0, 7.0): 0.0131452840375, (5.0, 4.0): 0.0813424207854, (1.0, 4.0): 0.0813424207854, (1.0, 5.0): 0.0429634773522, (2.0, 3.0): 0.116222498892, (4.0, 3.0): 0.116222498892, (1.0, 7.0): 0.0131452840375, (3.0, 7.0): 0.0117974296638, (5.0, 3.0): 0.118646634392, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0429634773522, }, ]
+32 Stop [{(2.0, 7.0): 0.0109789771305, (4.0, 7.0): 0.0109789771305, (1.0, 3.0): 0.118960921488, (3.0, 3.0): 0.115928930887, (1.0, 6.0): 0.0231679535729, (5.0, 6.0): 0.0231679535729, (5.0, 7.0): 0.0129009427921, (5.0, 4.0): 0.0813662220032, (1.0, 4.0): 0.0813662220032, (1.0, 5.0): 0.0427853589666, (2.0, 3.0): 0.116736976054, (4.0, 3.0): 0.116736976054, (1.0, 7.0): 0.0129009427921, (3.0, 7.0): 0.0114528356878, (5.0, 3.0): 0.118960921488, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0427853589666, }, ]
+33 Stop [{(2.0, 7.0): 0.0107025066375, (4.0, 7.0): 0.0107025066375, (1.0, 3.0): 0.119249076849, (3.0, 3.0): 0.116467627665, (1.0, 6.0): 0.0229387995309, (5.0, 6.0): 0.0229387995309, (5.0, 7.0): 0.0126768831347, (5.0, 4.0): 0.0813878754799, (1.0, 4.0): 0.0813878754799, (1.0, 5.0): 0.0426218720289, (2.0, 3.0): 0.11720894281, (4.0, 3.0): 0.11720894281, (1.0, 7.0): 0.0126768831347, (3.0, 7.0): 0.011136929983, (5.0, 3.0): 0.119249076849, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0426218720289, }, ]
+34 Stop [{(2.0, 7.0): 0.0104490329905, (4.0, 7.0): 0.0104490329905, (1.0, 3.0): 0.119513277626, (3.0, 3.0): 0.116961837761, (1.0, 6.0): 0.0227286094573, (5.0, 6.0): 0.0227286094573, (5.0, 7.0): 0.0124714228789, (5.0, 4.0): 0.0814075971673, (1.0, 4.0): 0.0814075971673, (1.0, 5.0): 0.0424718366426, (2.0, 3.0): 0.117641882441, (4.0, 3.0): 0.117641882441, (1.0, 7.0): 0.0124714228789, (3.0, 7.0): 0.0108473144193, (5.0, 3.0): 0.119513277626, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0424718366426, }, ]
+35 Stop [{(2.0, 7.0): 0.0102166381896, (4.0, 7.0): 0.0102166381896, (1.0, 3.0): 0.119755518606, (3.0, 3.0): 0.117415200881, (1.0, 6.0): 0.0225358229644, (5.0, 6.0): 0.0225358229644, (5.0, 7.0): 0.0122830190809, (5.0, 4.0): 0.0814255768218, (1.0, 4.0): 0.0814255768218, (1.0, 5.0): 0.0423341631811, (2.0, 3.0): 0.118038999276, (4.0, 3.0): 0.118038999276, (1.0, 7.0): 0.0122830190809, (3.0, 7.0): 0.0105817934668, (5.0, 3.0): 0.119755518606, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0423341631811, }, ]
+36 Stop [{(2.0, 7.0): 0.0100035653224, (4.0, 7.0): 0.0100035653224, (1.0, 3.0): 0.119977627705, (3.0, 3.0): 0.117831066478, (1.0, 6.0): 0.0223590060768, (5.0, 6.0): 0.0223590060768, (5.0, 7.0): 0.0121102565745, (5.0, 4.0): 0.081441981998, (1.0, 4.0): 0.081441981998, (1.0, 5.0): 0.042207846483, (2.0, 3.0): 0.118403239588, (4.0, 3.0): 0.118403239588, (1.0, 7.0): 0.0121102565745, (3.0, 7.0): 0.0103383566154, (5.0, 3.0): 0.119977627705, (1, 1): 0.0588235294118, (5.0, 5.0): 0.042207846483, }, ]
+37 Stop [{(2.0, 7.0): 0.00980820478954, (4.0, 7.0): 0.00980820478954, (1.0, 3.0): 0.120181280097, (3.0, 3.0): 0.118212515218, (1.0, 6.0): 0.0221968414272, (5.0, 6.0): 0.0221968414272, (5.0, 7.0): 0.011951837437, (5.0, 4.0): 0.0814569613093, (1.0, 4.0): 0.0814569613093, (1.0, 5.0): 0.0420919601587, (2.0, 3.0): 0.118737311257, (4.0, 3.0): 0.118737311257, (1.0, 7.0): 0.011951837437, (3.0, 7.0): 0.01011516242, (5.0, 3.0): 0.120181280097, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0420919601587, }, ]
+38 Stop [{(2.0, 7.0): 0.00962908176243, (4.0, 7.0): 0.00962908176243, (1.0, 3.0): 0.120368011106, (3.0, 3.0): 0.118562379244, (1.0, 6.0): 0.022048119115, (5.0, 6.0): 0.022048119115, (5.0, 7.0): 0.0118065713126, (5.0, 4.0): 0.0814706471055, (1.0, 4.0): 0.0814706471055, (1.0, 5.0): 0.0419856510806, (2.0, 3.0): 0.11904370219, (4.0, 3.0): 0.11904370219, (1.0, 7.0): 0.0118065713126, (3.0, 7.0): 0.0099105239997, (5.0, 3.0): 0.120368011106, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0419856510806, }, ]
+39 Stop [{(2.0, 7.0): 0.00946484474885, (4.0, 7.0): 0.00946484474885, (1.0, 3.0): 0.120539227985, (3.0, 3.0): 0.118883261208, (1.0, 6.0): 0.0219117282052, (5.0, 6.0): 0.0219117282052, (5.0, 7.0): 0.0116733665277, (5.0, 4.0): 0.0814831576853, (1.0, 4.0): 0.0814831576853, (1.0, 5.0): 0.041888134104, (2.0, 3.0): 0.119324697513, (4.0, 3.0): 0.119324697513, (1.0, 7.0): 0.0116733665277, (3.0, 7.0): 0.00972289584152, (5.0, 3.0): 0.120539227985, (1, 1): 0.0588235294118, (5.0, 5.0): 0.041888134104, }, ]
+40 Stop [{(2.0, 7.0): 0.00931425516204, (4.0, 7.0): 0.00931425516204, (1.0, 3.0): 0.120696220675, (3.0, 3.0): 0.119177552078, (1.0, 6.0): 0.0217866488411, (5.0, 6.0): 0.0217866488411, (5.0, 7.0): 0.0115512219328, (5.0, 4.0): 0.0814945991349, (1.0, 4.0): 0.0814945991349, (1.0, 5.0): 0.0417986870499, (2.0, 3.0): 0.119582395569, (4.0, 3.0): 0.119582395569, (1.0, 7.0): 0.0115512219328, (3.0, 7.0): 0.00955086177974, (5.0, 3.0): 0.120696220675, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0417986870499, }, ]
+41 Stop [{(2.0, 7.0): 0.00917617779714, (4.0, 7.0): 0.00917617779714, (1.0, 3.0): 0.120840171649, (3.0, 3.0): 0.119447447739, (1.0, 6.0): 0.0216719449392, (5.0, 6.0): 0.0216719449392, (5.0, 7.0): 0.0114392194142, (5.0, 4.0): 0.0815050668672, (1.0, 4.0): 0.0815050668672, (1.0, 5.0): 0.0417166459668, (2.0, 3.0): 0.119818722774, (4.0, 3.0): 0.119818722774, (1.0, 7.0): 0.0114392194142, (3.0, 7.0): 0.00939312403461, (5.0, 3.0): 0.120840171649, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0417166459668, }, ]
+42 Stop [{(2.0, 7.0): 0.00904957213079, (4.0, 7.0): 0.00904957213079, (1.0, 3.0): 0.120972164908, (3.0, 3.0): 0.119694964429, (1.0, 6.0): 0.0215667574336, (5.0, 6.0): 0.0215667574336, (5.0, 7.0): 0.0113365170207, (5.0, 4.0): 0.0815146469165, (1.0, 4.0): 0.0815146469165, (1.0, 5.0): 0.0416414006781, (2.0, 3.0): 0.120035447387, (4.0, 3.0): 0.120035447387, (1.0, 7.0): 0.0113365170207, (3.0, 7.0): 0.00924849320963, (5.0, 3.0): 0.120972164908, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0416414006781, }, ]
+43 Stop [{(2.0, 7.0): 0.00893348436865, (4.0, 7.0): 0.00893348436865, (1.0, 3.0): 0.121093194223, (3.0, 3.0): 0.119921953068, (1.0, 6.0): 0.0214702980383, (5.0, 6.0): 0.0214702980383, (5.0, 7.0): 0.0112423426572, (5.0, 4.0): 0.0815234170375, (1.0, 4.0): 0.0815234170375, (1.0, 5.0): 0.0415723906154, (2.0, 3.0): 0.120234192241, (4.0, 3.0): 0.120234192241, (1.0, 7.0): 0.0112423426572, (3.0, 7.0): 0.00911587915707, (5.0, 3.0): 0.121093194223, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0415723906154, }, ]
+44 Stop [{(2.0, 7.0): 0.00882704017287, (4.0, 7.0): 0.00882704017287, (1.0, 3.0): 0.121204170674, (3.0, 3.0): 0.120130112517, (1.0, 6.0): 0.021381843492, (5.0, 6.0): 0.021381843492, (5.0, 7.0): 0.0111559882967, (5.0, 4.0): 0.0815314476415, (1.0, 4.0): 0.0815314476415, (1.0, 5.0): 0.0415091009324, (2.0, 3.0): 0.120416446511, (4.0, 3.0): 0.120416446511, (1.0, 7.0): 0.0111559882967, (3.0, 7.0): 0.00899428263146, (5.0, 3.0): 0.121204170674, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0415091009324, }, ]
+45 Stop [{(2.0, 7.0): 0.00872943800896, (4.0, 7.0): 0.00872943800896, (1.0, 3.0): 0.121305929549, (3.0, 3.0): 0.120321001846, (1.0, 6.0): 0.0213007302545, (5.0, 6.0): 0.0213007302545, (5.0, 7.0): 0.0110768046715, (5.0, 4.0): 0.0815388026011, (1.0, 4.0): 0.0815388026011, (1.0, 5.0): 0.0414510588895, (2.0, 3.0): 0.120583576567, (4.0, 3.0): 0.120583576567, (1.0, 7.0): 0.0110768046715, (3.0, 7.0): 0.00888278765906, (5.0, 3.0): 0.121305929549, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0414510588895, }, ]
+46 Stop [{(2.0, 7.0): 0.00863994305721, (4.0, 7.0): 0.00863994305721, (1.0, 3.0): 0.121399236673, (3.0, 3.0): 0.12049605166, (1.0, 6.0): 0.0212263496217, (5.0, 6.0): 0.0212263496217, (5.0, 7.0): 0.0110041964011, (5.0, 4.0): 0.0815455399446, (1.0, 4.0): 0.0815455399446, (1.0, 5.0): 0.0413978304999, (2.0, 3.0): 0.120736835987, (4.0, 3.0): 0.120736835987, (1.0, 7.0): 0.0110041964011, (3.0, 7.0): 0.008780554559, (5.0, 3.0): 0.121399236673, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0413978304999, }, ]
+47 Stop [{(2.0, 7.0): 0.00855788163902, (4.0, 7.0): 0.00855788163902, (1.0, 3.0): 0.121484794192, (3.0, 3.0): 0.120656574545, (1.0, 6.0): 0.021158143231, (5.0, 6.0): 0.021158143231, (5.0, 7.0): 0.0109376175248, (5.0, 4.0): 0.0815517124603, (1.0, 4.0): 0.0815517124603, (1.0, 5.0): 0.041349017422, (2.0, 3.0): 0.120877374773, (4.0, 3.0): 0.120877374773, (1.0, 7.0): 0.0109376175248, (3.0, 7.0): 0.00868681355781, (5.0, 3.0): 0.121484794192, (1, 1): 0.0588235294118, (5.0, 5.0): 0.041349017422, }, ]
+48 Stop [{(2.0, 7.0): 0.00848263611347, (4.0, 7.0): 0.00848263611347, (1.0, 3.0): 0.121563245885, (3.0, 3.0): 0.120803774697, (1.0, 6.0): 0.0210955989256, (5.0, 6.0): 0.0210955989256, (5.0, 7.0): 0.0108765674019, (5.0, 4.0): 0.0815573682235, (1.0, 4.0): 0.0815573682235, (1.0, 5.0): 0.0413042540861, (2.0, 3.0): 0.121006247837, (4.0, 3.0): 0.121006247837, (1.0, 7.0): 0.0108765674019, (3.0, 7.0): 0.00860085894528, (5.0, 3.0): 0.121563245885, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0413042540861, }, ]
+49 Stop [{(2.0, 7.0): 0.0084136402034, (4.0, 7.0): 0.0084136402034, (1.0, 3.0): 0.121635182019, (3.0, 3.0): 0.12093875679, (1.0, 6.0): 0.0210382469539, (5.0, 6.0): 0.0210382469539, (5.0, 7.0): 0.0108205869531, (5.0, 4.0): 0.0815625510607, (1.0, 4.0): 0.0815625510607, (1.0, 5.0): 0.0412632050402, (2.0, 3.0): 0.121124422806, (4.0, 3.0): 0.121124422806, (1.0, 7.0): 0.0108205869531, (3.0, 7.0): 0.00852204372408, (5.0, 3.0): 0.121635182019, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0412632050402, }, ]
+50 Stop [{(2.0, 7.0): 0.00835037471409, (4.0, 7.0): 0.00835037471409, (1.0, 3.0): 0.121701143806, (3.0, 3.0): 0.121062534134, (1.0, 6.0): 0.0209856564751, (5.0, 6.0): 0.0209856564751, (5.0, 7.0): 0.0107692552112, (5.0, 4.0): 0.0815673009583, (1.0, 4.0): 0.0815673009583, (1.0, 5.0): 0.0412255625022, (2.0, 3.0): 0.121232787205, (4.0, 3.0): 0.121232787205, (1.0, 7.0): 0.0107692552112, (3.0, 7.0): 0.00844977471029, (5.0, 3.0): 0.121701143806, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0412255625022, }, ]
+51 Stop [{(2.0, 7.0): 0.00829236361093, (4.0, 7.0): 0.00829236361093, (1.0, 3.0): 0.121761627483, (3.0, 3.0): 0.121176036182, (1.0, 6.0): 0.0209374323499, (5.0, 6.0): 0.0209374323499, (5.0, 7.0): 0.0107221861596, (5.0, 4.0): 0.0815716544259, (1.0, 4.0): 0.0815716544259, (1.0, 5.0): 0.0411910441027, (2.0, 3.0): 0.121332155048, (4.0, 3.0): 0.121332155048, (1.0, 7.0): 0.0107221861596, (3.0, 7.0): 0.00838350804616, (5.0, 3.0): 0.121761627483, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0411910441027, }, ]
+52 Stop [{(2.0, 7.0): 0.00823917042559, (4.0, 7.0): 0.00823917042559, (1.0, 3.0): 0.121817088057, (3.0, 3.0): 0.121280115426, (1.0, 6.0): 0.0208932121929, (5.0, 6.0): 0.0208932121929, (5.0, 7.0): 0.010679025831, (5.0, 4.0): 0.0815756448187, (1.0, 4.0): 0.0815756448187, (1.0, 5.0): 0.0411593908071, (2.0, 3.0): 0.121423272904, (4.0, 3.0): 0.121423272904, (1.0, 7.0): 0.010679025831, (3.0, 7.0): 0.00832274508934, (5.0, 3.0): 0.121817088057, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0411593908071, }, ]
+53 Stop [{(2.0, 7.0): 0.00819039496273, (4.0, 7.0): 0.00819039496273, (1.0, 3.0): 0.12186794273, (3.0, 3.0): 0.121375553745, (1.0, 6.0): 0.0208526636655, (5.0, 6.0): 0.0208526636655, (5.0, 7.0): 0.0106394496479, (5.0, 4.0): 0.0815793026271, (1.0, 4.0): 0.0815793026271, (1.0, 5.0): 0.0411303650029, (2.0, 3.0): 0.121506825462, (4.0, 3.0): 0.121506825462, (1.0, 7.0): 0.0106394496479, (3.0, 7.0): 0.00826702864684, (5.0, 3.0): 0.12186794273, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0411303650029, }, ]
+54 Stop [{(2.0, 7.0): 0.00814567028182, (4.0, 7.0): 0.00814567028182, (1.0, 3.0): 0.121914574044, (3.0, 3.0): 0.121463068223, (1.0, 6.0): 0.020815481991, (5.0, 6.0): 0.020815481991, (5.0, 7.0): 0.0106031599826, (5.0, 4.0): 0.0815826557348, (1.0, 4.0): 0.0815826557348, (1.0, 5.0): 0.0411037487403, (2.0, 3.0): 0.121583440646, (4.0, 3.0): 0.121583440646, (1.0, 7.0): 0.0106031599826, (3.0, 7.0): 0.0082159395241, (5.0, 3.0): 0.121914574044, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0411037487403, }, ]
+55 Stop [{(2.0, 7.0): 0.00810465993095, (4.0, 7.0): 0.00810465993095, (1.0, 3.0): 0.121957332764, (3.0, 3.0): 0.121543316505, (1.0, 6.0): 0.0207813876741, (5.0, 6.0): 0.0207813876741, (5.0, 7.0): 0.0105698839207, (5.0, 4.0): 0.0815857296519, (1.0, 4.0): 0.0815857296519, (1.0, 5.0): 0.0410793421143, (2.0, 3.0): 0.121653694304, (4.0, 3.0): 0.121653694304, (1.0, 7.0): 0.0105698839207, (3.0, 7.0): 0.00816909336258, (5.0, 3.0): 0.121957332764, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0410793421143, }, ]
+56 Stop [{(2.0, 7.0): 0.00806705541135, (4.0, 7.0): 0.00806705541135, (1.0, 3.0): 0.121996540515, (3.0, 3.0): 0.121616901705, (1.0, 6.0): 0.0207501244074, (5.0, 6.0): 0.0207501244074, (5.0, 7.0): 0.010539371209, (5.0, 4.0): 0.0815885477248, (1.0, 4.0): 0.0815885477248, (1.0, 5.0): 0.0410569617786, (2.0, 3.0): 0.121718114524, (4.0, 3.0): 0.121718114524, (1.0, 7.0): 0.010539371209, (3.0, 7.0): 0.0081261377415, (5.0, 3.0): 0.121996540515, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0410569617786, }, ]
+57 Stop [{(2.0, 7.0): 0.0080325738532, (4.0, 7.0): 0.0080325738532, (1.0, 3.0): 0.122032492209, (3.0, 3.0): 0.121684376918, (1.0, 6.0): 0.020721457151, (5.0, 6.0): 0.020721457151, (5.0, 7.0): 0.0105113923746, (5.0, 4.0): 0.0815911313257, (1.0, 4.0): 0.0815911313257, (1.0, 5.0): 0.0410364395796, (2.0, 3.0): 0.121777185581, (4.0, 3.0): 0.121777185581, (1.0, 7.0): 0.0105113923746, (3.0, 7.0): 0.0080867495214, (5.0, 3.0): 0.122032492209, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0410364395796, }, ]
+58 Stop [{(2.0, 7.0): 0.00800095588517, (4.0, 7.0): 0.00800095588517, (1.0, 3.0): 0.12206545826, (3.0, 3.0): 0.12174624936, (1.0, 6.0): 0.0206951703699, (5.0, 6.0): 0.0206951703699, (5.0, 7.0): 0.0104857369991, (5.0, 4.0): 0.0815935000242, (1.0, 4.0): 0.0815935000242, (1.0, 5.0): 0.0410176213018, (2.0, 3.0): 0.121831351569, (4.0, 3.0): 0.121831351569, (1.0, 7.0): 0.0104857369991, (3.0, 7.0): 0.00805063240927, (5.0, 3.0): 0.12206545826, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0410176213018, }, ]
+59 Stop [{(2.0, 7.0): 0.00797196368126, (4.0, 7.0): 0.00797196368126, (1.0, 3.0): 0.122095686622, (3.0, 3.0): 0.121802984166, (1.0, 6.0): 0.0206710664175, (5.0, 6.0): 0.0206710664175, (5.0, 7.0): 0.0104622121373, (5.0, 4.0): 0.0815956717435, (1.0, 4.0): 0.0815956717435, (1.0, 5.0): 0.0410003655165, (2.0, 3.0): 0.12188101973, (4.0, 3.0): 0.12188101973, (1.0, 7.0): 0.0104622121373, (3.0, 7.0): 0.00801751472654, (5.0, 3.0): 0.122095686622, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0410003655165, }, ]
+60 Stop [{(2.0, 7.0): 0.00794537917027, (4.0, 7.0): 0.00794537917027, (1.0, 3.0): 0.122123404656, (3.0, 3.0): 0.121855007875, (1.0, 6.0): 0.0206489640522, (5.0, 6.0): 0.0206489640522, (5.0, 7.0): 0.0104406408658, (5.0, 4.0): 0.0815976629014, (1.0, 4.0): 0.0815976629014, (1.0, 5.0): 0.0409845425237, (2.0, 3.0): 0.121926563506, (4.0, 3.0): 0.121926563506, (1.0, 7.0): 0.0104406408658, (3.0, 7.0): 0.00798714736302, (5.0, 3.0): 0.122123404656, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0409845425237, }, ]
+61 Stop [{(2.0, 7.0): 0.00792100239421, (4.0, 7.0): 0.00792100239421, (1.0, 3.0): 0.122148820838, (3.0, 3.0): 0.121902711629, (1.0, 6.0): 0.0206286970769, (5.0, 6.0): 0.0206286970769, (5.0, 7.0): 0.0104208609529, (5.0, 4.0): 0.0815994885391, (1.0, 4.0): 0.0815994885391, (1.0, 5.0): 0.0409700333824, (2.0, 3.0): 0.121968325346, (4.0, 3.0): 0.121968325346, (1.0, 7.0): 0.0104208609529, (3.0, 7.0): 0.00795930190118, (5.0, 3.0): 0.122148820838, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0409700333824, }, ]
+62 Stop [{(2.0, 7.0): 0.00789865000336, (4.0, 7.0): 0.00789865000336, (1.0, 3.0): 0.122172126331, (3.0, 3.0): 0.121946454107, (1.0, 6.0): 0.0206101130913, (5.0, 6.0): 0.0206101130913, (5.0, 7.0): 0.0104027236388, (5.0, 4.0): 0.0816011624386, (1.0, 4.0): 0.0816011624386, (1.0, 5.0): 0.0409567290188, (2.0, 3.0): 0.122006619271, (4.0, 3.0): 0.122006619271, (1.0, 7.0): 0.0104027236388, (3.0, 7.0): 0.00793376889654, (5.0, 3.0): 0.122172126331, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0409567290188, }, ]
+63 Stop [{(2.0, 7.0): 0.00787815387634, (4.0, 7.0): 0.00787815387634, (1.0, 3.0): 0.12219349642, (3.0, 3.0): 0.121986564216, (1.0, 6.0): 0.0205930723469, (5.0, 6.0): 0.0205930723469, (5.0, 7.0): 0.010386092517, (5.0, 4.0): 0.0816026972293, (1.0, 4.0): 0.0816026972293, (1.0, 5.0): 0.04094452941, (2.0, 3.0): 0.122041733236, (4.0, 3.0): 0.122041733236, (1.0, 7.0): 0.010386092517, (3.0, 7.0): 0.00791035630108, (5.0, 3.0): 0.12219349642, (1, 1): 0.0588235294118, (5.0, 5.0): 0.04094452941, }, ]
+64 Stop [{(2.0, 7.0): 0.00785935985505, (4.0, 7.0): 0.00785935985505, (1.0, 3.0): 0.122213091833, (3.0, 3.0): 0.122023343563, (1.0, 6.0): 0.0205774466977, (5.0, 6.0): 0.0205774466977, (5.0, 7.0): 0.0103708425081, (5.0, 4.0): 0.0816041044856, (1.0, 4.0): 0.0816041044856, (1.0, 5.0): 0.0409333428333, (2.0, 3.0): 0.122073931291, (4.0, 3.0): 0.122073931291, (1.0, 7.0): 0.0103708425081, (3.0, 7.0): 0.00788888801792, (5.0, 3.0): 0.122213091833, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0409333428333, }, ]
+65 Stop [{(2.0, 7.0): 0.00784212658468, (4.0, 7.0): 0.00784212658468, (1.0, 3.0): 0.122231059951, (3.0, 3.0): 0.122057068715, (1.0, 6.0): 0.0205631186368, (5.0, 6.0): 0.0205631186368, (5.0, 7.0): 0.0103568589198, (5.0, 4.0): 0.0816053948158, (1.0, 4.0): 0.0816053948158, (1.0, 5.0): 0.0409230851786, (2.0, 3.0): 0.122103455562, (4.0, 3.0): 0.122103455562, (1.0, 7.0): 0.0103568589198, (3.0, 7.0): 0.00786920257601, (5.0, 3.0): 0.122231059951, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0409230851786, }, ]
+66 Stop [{(2.0, 7.0): 0.00782632445018, (4.0, 7.0): 0.00782632445018, (1.0, 3.0): 0.122247535912, (3.0, 3.0): 0.12208799328, (1.0, 6.0): 0.0205499804137, (5.0, 6.0): 0.0205499804137, (5.0, 7.0): 0.010344036584, (5.0, 4.0): 0.0816065779435, (1.0, 4.0): 0.0816065779435, (1.0, 5.0): 0.040913679317, (2.0, 3.0): 0.122130528076, (4.0, 3.0): 0.122130528076, (1.0, 7.0): 0.010344036584, (3.0, 7.0): 0.00785115191513, (5.0, 3.0): 0.122247535912, (1, 1): 0.0588235294118, (5.0, 5.0): 0.040913679317, }, ]
+67 Stop [{(2.0, 7.0): 0.00781183460111, (4.0, 7.0): 0.00781183460111, (1.0, 3.0): 0.122262643634, (3.0, 3.0): 0.122116349811, (1.0, 6.0): 0.0205379332247, (5.0, 6.0): 0.0205379332247, (5.0, 7.0): 0.0103322790662, (5.0, 4.0): 0.0816076627818, (1.0, 4.0): 0.0816076627818, (1.0, 5.0): 0.040905054522, (2.0, 3.0): 0.122155352423, (4.0, 3.0): 0.122155352423, (1.0, 7.0): 0.0103322790662, (3.0, 7.0): 0.00783460027183, (5.0, 3.0): 0.122262643634, (1, 1): 0.0588235294118, (5.0, 5.0): 0.040905054522, }, ]
+68 Stop [{(2.0, 7.0): 0.00779854805753, (4.0, 7.0): 0.00779854805753, (1.0, 3.0): 0.122276496743, (3.0, 3.0): 0.122142351552, (1.0, 6.0): 0.0205268864698, (5.0, 6.0): 0.0205268864698, (5.0, 7.0): 0.0103214979398, (5.0, 4.0): 0.0816086575013, (1.0, 4.0): 0.0816086575013, (1.0, 5.0): 0.0408971459383, (2.0, 3.0): 0.122178115289, (4.0, 3.0): 0.122178115289, (1.0, 7.0): 0.0103214979398, (3.0, 7.0): 0.00781942315802, (5.0, 3.0): 0.122276496743, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0408971459383, }, ]
+69 Stop [{(2.0, 7.0): 0.00778636489012, (4.0, 7.0): 0.00778636489012, (1.0, 3.0): 0.122289199428, (3.0, 3.0): 0.122166194043, (1.0, 6.0): 0.0205167570719, (5.0, 6.0): 0.0205167570719, (5.0, 7.0): 0.0103116121216, (5.0, 4.0): 0.0816095695922, (1.0, 4.0): 0.0816095695922, (1.0, 5.0): 0.0408898940948, (2.0, 3.0): 0.122198987861, (4.0, 3.0): 0.122198987861, (1.0, 7.0): 0.0103116121216, (3.0, 7.0): 0.00780550642436, (5.0, 3.0): 0.122289199428, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0408898940948, }, ]
+70 Stop [{(2.0, 7.0): 0.00777519346855, (4.0, 7.0): 0.00777519346855, (1.0, 3.0): 0.122300847226, (3.0, 3.0): 0.122188056589, (1.0, 6.0): 0.0205074688524, (5.0, 6.0): 0.0205074688524, (5.0, 7.0): 0.0103025472617, (5.0, 4.0): 0.0816104059215, (1.0, 4.0): 0.0816104059215, (1.0, 5.0): 0.0408832444577, (2.0, 3.0): 0.122218127111, (4.0, 3.0): 0.122218127111, (1.0, 7.0): 0.0103025472617, (3.0, 7.0): 0.00779274540153, (5.0, 3.0): 0.122300847226, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0408832444577, }, ]
+71 Stop [{(2.0, 7.0): 0.00776494977213, (4.0, 7.0): 0.00776494977213, (1.0, 3.0): 0.12231152774, (3.0, 3.0): 0.122208103604, (1.0, 6.0): 0.0204989519584, (5.0, 6.0): 0.0204989519584, (5.0, 7.0): 0.0102942351847, (5.0, 4.0): 0.0816111727846, (1.0, 4.0): 0.0816111727846, (1.0, 5.0): 0.040877147021, (2.0, 3.0): 0.122235676975, (4.0, 3.0): 0.122235676975, (1.0, 7.0): 0.0102942351847, (3.0, 7.0): 0.00778104411288, (5.0, 3.0): 0.12231152774, (1, 1): 0.0588235294118, (5.0, 5.0): 0.040877147021, }, ]
+72 Stop [{(2.0, 7.0): 0.00775555675785, (4.0, 7.0): 0.00775555675785, (1.0, 3.0): 0.122321321297, (3.0, 3.0): 0.122226485851, (1.0, 6.0): 0.0204911423372, (5.0, 6.0): 0.0204911423372, (5.0, 7.0): 0.0102866133765, (5.0, 4.0): 0.0816118759532, (1.0, 4.0): 0.0816118759532, (1.0, 5.0): 0.0408715559306, (2.0, 3.0): 0.12225176944, (4.0, 3.0): 0.12225176944, (1.0, 7.0): 0.0102866133765, (3.0, 7.0): 0.00777031455238, (5.0, 3.0): 0.122321321297, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0408715559306, }, ]
+73 Stop [{(2.0, 7.0): 0.00774694378087, (4.0, 7.0): 0.00774694378087, (1.0, 3.0): 0.122330301556, (3.0, 3.0): 0.122243341577, (1.0, 6.0): 0.0204839812552, (5.0, 6.0): 0.0204839812552, (5.0, 7.0): 0.0102796245144, (5.0, 4.0): 0.0816125207194, (1.0, 4.0): 0.0816125207194, (1.0, 5.0): 0.0408664291396, (2.0, 3.0): 0.122266525529, (4.0, 3.0): 0.122266525529, (1.0, 7.0): 0.0102796245144, (3.0, 7.0): 0.00776047602269, (5.0, 3.0): 0.122330301556, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0408664291396, }, ]
+74 Stop [{(2.0, 7.0): 0.00773904606311, (4.0, 7.0): 0.00773904606311, (1.0, 3.0): 0.122338536055, (3.0, 3.0): 0.122258797545, (1.0, 6.0): 0.0204774148559, (5.0, 6.0): 0.0204774148559, (5.0, 7.0): 0.010273216036, (5.0, 4.0): 0.0816131119348, (1.0, 4.0): 0.0816131119348, (1.0, 5.0): 0.0408617280923, (2.0, 3.0): 0.122280056221, (4.0, 3.0): 0.122280056221, (1.0, 7.0): 0.010273216036, (3.0, 7.0): 0.00775145452814, (5.0, 3.0): 0.122338536055, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0408617280923, }, ]
+75 Stop [{(2.0, 7.0): 0.00773180420609, (4.0, 7.0): 0.00773180420609, (1.0, 3.0): 0.122346086726, (3.0, 3.0): 0.122272969995, (1.0, 6.0): 0.0204713937551, (5.0, 6.0): 0.0204713937551, (5.0, 7.0): 0.010267339744, (5.0, 4.0): 0.0816136540481, (1.0, 4.0): 0.0816136540481, (1.0, 5.0): 0.0408574174347, (2.0, 3.0): 0.122292463273, (4.0, 3.0): 0.122292463273, (1.0, 7.0): 0.010267339744, (3.0, 7.0): 0.00774318221812, (5.0, 3.0): 0.122346086726, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0408574174347, }, ]
+76 None [{(2.0, 7.0): 0.00773180420609, (4.0, 7.0): 0.00773180420609, (1.0, 3.0): 0.122346086726, (3.0, 3.0): 0.122272969995, (1.0, 6.0): 0.0204713937551, (5.0, 6.0): 0.0204713937551, (5.0, 7.0): 0.010267339744, (5.0, 4.0): 0.0816136540481, (1.0, 4.0): 0.0816136540481, (1.0, 5.0): 0.0408574174347, (2.0, 3.0): 0.122292463273, (4.0, 3.0): 0.122292463273, (1.0, 7.0): 0.010267339744, (3.0, 7.0): 0.00774318221812, (5.0, 3.0): 0.122346086726, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0408574174347, }, ]
+"""
diff --git a/tracking/test_cases/q7/2-ExactPredict.test b/tracking/test_cases/q7/2-ExactPredict.test
new file mode 100644
index 0000000..d8029d3
--- /dev/null
+++ b/tracking/test_cases/q7/2-ExactPredict.test
@@ -0,0 +1,29 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%
+%  G  %
+% %%% %
+% %P% %
+% %%% %
+%     %
+%%%%%%%
+% %%%%%
+%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "75"
+numParticles: "5000"
+numGhosts: "1"
+ghost: "GoSouthAgent"
+errorMsg: "Exact inference elapseTime test: %d inference errors."
+inference: "ExactInference"
+L2Tolerance: "0.0001"
+
diff --git a/tracking/test_cases/q7/3-ExactPredict.solution b/tracking/test_cases/q7/3-ExactPredict.solution
new file mode 100644
index 0000000..446f2e8
--- /dev/null
+++ b/tracking/test_cases/q7/3-ExactPredict.solution
@@ -0,0 +1,205 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(5, 9): 0.0151515151515, (4, 7): 0.0151515151515, (4, 4): 0.0151515151515, (4, 8): 0.0151515151515, (5, 6): 0.0151515151515, (2, 8): 0.0151515151515, (3, 11): 0.0151515151515, (4, 6): 0.0151515151515, (8, 9): 0.0151515151515, (4, 12): 0.0151515151515, (2, 12): 0.0151515151515, (7, 11): 0.0151515151515, (3, 7): 0.0151515151515, (2, 5): 0.0151515151515, (1, 11): 0.0151515151515, (8, 5): 0.0151515151515, (5, 8): 0.0151515151515, (7, 5): 0.0151515151515, (4, 9): 0.0151515151515, (5, 5): 0.0151515151515, (2, 9): 0.0151515151515, (3, 10): 0.0151515151515, (6, 10): 0.0151515151515, (8, 10): 0.0151515151515, (1, 5): 0.0151515151515, (9, 11): 0.0151515151515, (4, 11): 0.0151515151515, (3, 6): 0.0151515151515, (8, 6): 0.0151515151515, (3, 5): 0.0151515151515, (9, 7): 0.0151515151515, (4, 10): 0.0151515151515, (2, 6): 0.0151515151515, (6, 6): 0.0151515151515, (8, 2): 0.0151515151515, (5, 11): 0.0151515151515, (4, 5): 0.0151515151515, (8, 11): 0.0151515151515, (6, 11): 0.0151515151515, (2, 7): 0.0151515151515, (7, 7): 0.0151515151515, (7, 10): 0.0151515151515, (3, 9): 0.0151515151515, (1, 9): 0.0151515151515, (8, 7): 0.0151515151515, (6, 12): 0.0151515151515, (6, 4): 0.0151515151515, (2, 10): 0.0151515151515, (6, 5): 0.0151515151515, (7, 9): 0.0151515151515, (6, 7): 0.0151515151515, (6, 9): 0.0151515151515, (5, 10): 0.0151515151515, (6, 8): 0.0151515151515, (8, 12): 0.0151515151515, (5, 7): 0.0151515151515, (2, 11): 0.0151515151515, (9, 9): 0.0151515151515, (2, 4): 0.0151515151515, (3, 8): 0.0151515151515, (8, 8): 0.0151515151515, (1, 7): 0.0151515151515, (9, 5): 0.0151515151515, (7, 8): 0.0151515151515, (7, 6): 0.0151515151515, (8, 4): 0.0151515151515, }, ]
+1 Stop [{(5, 9): 0.0151515151515, (4, 7): 0.0151515151515, (4, 4): 0.0151515151515, (4, 8): 0.0151515151515, (5, 6): 0.0151515151515, (2, 8): 0.0151515151515, (3, 11): 0.0151515151515, (4, 6): 0.0151515151515, (8, 9): 0.0151515151515, (4, 12): 0.0151515151515, (2, 12): 0.0151515151515, (7, 11): 0.0151515151515, (3, 7): 0.0151515151515, (2, 5): 0.0151515151515, (1, 11): 0.0151515151515, (8, 5): 0.0151515151515, (5, 8): 0.0151515151515, (7, 5): 0.0151515151515, (4, 9): 0.0151515151515, (5, 5): 0.0151515151515, (2, 9): 0.0151515151515, (3, 10): 0.0151515151515, (6, 10): 0.0151515151515, (8, 10): 0.0151515151515, (1, 5): 0.0151515151515, (9, 11): 0.0151515151515, (4, 11): 0.0151515151515, (3, 6): 0.0151515151515, (8, 6): 0.0151515151515, (3, 5): 0.0151515151515, (9, 7): 0.0151515151515, (4, 10): 0.0151515151515, (2, 6): 0.0151515151515, (6, 6): 0.0151515151515, (8, 2): 0.0151515151515, (5, 11): 0.0151515151515, (4, 5): 0.0151515151515, (8, 11): 0.0151515151515, (6, 11): 0.0151515151515, (2, 7): 0.0151515151515, (7, 7): 0.0151515151515, (7, 10): 0.0151515151515, (3, 9): 0.0151515151515, (1, 9): 0.0151515151515, (8, 7): 0.0151515151515, (6, 12): 0.0151515151515, (6, 4): 0.0151515151515, (2, 10): 0.0151515151515, (6, 5): 0.0151515151515, (7, 9): 0.0151515151515, (6, 7): 0.0151515151515, (6, 9): 0.0151515151515, (5, 10): 0.0151515151515, (6, 8): 0.0151515151515, (8, 12): 0.0151515151515, (5, 7): 0.0151515151515, (2, 11): 0.0151515151515, (9, 9): 0.0151515151515, (2, 4): 0.0151515151515, (3, 8): 0.0151515151515, (8, 8): 0.0151515151515, (1, 7): 0.0151515151515, (9, 5): 0.0151515151515, (7, 8): 0.0151515151515, (7, 6): 0.0151515151515, (8, 4): 0.0151515151515, }, ]
+2 Stop [{(5.0, 9.0): 0.0151515151515, (4.0, 7.0): 0.0151515151515, (6.0, 10.0): 0.0151515151515, (4.0, 8.0): 0.0151515151515, (5.0, 6.0): 0.0164141414141, (2.0, 8.0): 0.0131313131313, (3.0, 11.0): 0.0106060606061, (4.0, 6.0): 0.0151515151515, (8.0, 9.0): 0.0217171717172, (4.0, 12.0): 0.00757575757576, (2.0, 12.0): 0.00757575757576, (7.0, 11.0): 0.0106060606061, (3.0, 7.0): 0.0151515151515, (2.0, 5.0): 0.0275252525253, (1.0, 11.0): 0.010101010101, (8.0, 5.0): 0.0275252525253, (5.0, 8.0): 0.0151515151515, (7.0, 5.0): 0.0138888888889, (4.0, 9.0): 0.0151515151515, (5.0, 5.0): 0.0138888888889, (2.0, 9.0): 0.0217171717172, (3.0, 10.0): 0.0166666666667, (4.0, 4.0): 0.0126262626263, (8.0, 10.0): 0.0131313131313, (1.0, 5.0): 0.010101010101, (9.0, 11.0): 0.010101010101, (4.0, 11.0): 0.0212121212121, (3.0, 6.0): 0.0169191919192, (8.0, 6.0): 0.0131313131313, (3.0, 5.0): 0.0138888888889, (1, 1): 0.0151515151515, (9.0, 7.0): 0.010101010101, (4.0, 10.0): 0.0151515151515, (2.0, 6.0): 0.0131313131313, (6.0, 6.0): 0.0151515151515, (7.0, 10.0): 0.0166666666667, (5.0, 11.0): 0.0106060606061, (4.0, 5.0): 0.0227272727273, (8.0, 11.0): 0.0262626262626, (6.0, 11.0): 0.0212121212121, (2.0, 7.0): 0.0217171717172, (7.0, 7.0): 0.0151515151515, (3.0, 9.0): 0.0151515151515, (1.0, 9.0): 0.010101010101, (8.0, 7.0): 0.0217171717172, (6.0, 12.0): 0.00757575757576, (6.0, 4.0): 0.0126262626263, (2.0, 10.0): 0.0131313131313, (6.0, 5.0): 0.0227272727273, (7.0, 9.0): 0.0151515151515, (6.0, 7.0): 0.0151515151515, (6.0, 9.0): 0.0151515151515, (5.0, 10.0): 0.0161616161616, (6.0, 8.0): 0.0151515151515, (8.0, 12.0): 0.00757575757576, (5.0, 7.0): 0.0151515151515, (2.0, 11.0): 0.0262626262626, (9.0, 9.0): 0.010101010101, (2.0, 4.0): 0.0126262626263, (3.0, 8.0): 0.0156565656566, (8.0, 8.0): 0.0131313131313, (1.0, 7.0): 0.010101010101, (9.0, 5.0): 0.010101010101, (7.0, 8.0): 0.0156565656566, (7.0, 6.0): 0.0169191919192, (8.0, 4.0): 0.0126262626263, }, ]
+3 Stop [{(5.0, 9.0): 0.0154882154882, (4.0, 7.0): 0.0151515151515, (6.0, 10.0): 0.0175925925926, (4.0, 8.0): 0.0152356902357, (5.0, 6.0): 0.0163089225589, (2.0, 8.0): 0.0160942760943, (3.0, 11.0): 0.0128114478114, (4.0, 6.0): 0.0169191919192, (8.0, 9.0): 0.0190740740741, (4.0, 12.0): 0.00606060606061, (2.0, 12.0): 0.00690235690236, (7.0, 11.0): 0.0128114478114, (3.0, 7.0): 0.0167087542088, (2.0, 5.0): 0.0246759259259, (1.0, 11.0): 0.00942760942761, (8.0, 5.0): 0.0246759259259, (5.0, 8.0): 0.0151515151515, (7.0, 5.0): 0.0174873737374, (4.0, 9.0): 0.0151515151515, (5.0, 5.0): 0.0165193602694, (2.0, 9.0): 0.0190740740741, (3.0, 10.0): 0.014696969697, (4.0, 4.0): 0.0138888888889, (8.0, 10.0): 0.0177777777778, (1.0, 5.0): 0.00963804713805, (9.0, 11.0): 0.00942760942761, (4.0, 11.0): 0.0153535353535, (3.0, 6.0): 0.0164941077441, (8.0, 6.0): 0.0172727272727, (3.0, 5.0): 0.0174873737374, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00867003367003, (4.0, 10.0): 0.0175925925926, (2.0, 6.0): 0.0172727272727, (6.0, 6.0): 0.0169191919192, (7.0, 10.0): 0.014696969697, (5.0, 11.0): 0.0118855218855, (4.0, 5.0): 0.022095959596, (8.0, 11.0): 0.0192255892256, (6.0, 11.0): 0.0153535353535, (2.0, 7.0): 0.0190740740741, (7.0, 7.0): 0.0167087542088, (3.0, 9.0): 0.016835016835, (1.0, 9.0): 0.00867003367003, (8.0, 7.0): 0.0190740740741, (6.0, 12.0): 0.00606060606061, (6.0, 4.0): 0.0138888888889, (2.0, 10.0): 0.0177777777778, (6.0, 5.0): 0.022095959596, (7.0, 9.0): 0.016835016835, (6.0, 7.0): 0.0151515151515, (6.0, 9.0): 0.0151515151515, (5.0, 10.0): 0.0145117845118, (6.0, 8.0): 0.0152356902357, (8.0, 12.0): 0.00690235690236, (5.0, 7.0): 0.015361952862, (2.0, 11.0): 0.0192255892256, (9.0, 9.0): 0.00867003367003, (2.0, 4.0): 0.0154882154882, (3.0, 8.0): 0.0153367003367, (8.0, 8.0): 0.0160942760943, (1.0, 7.0): 0.00867003367003, (9.0, 5.0): 0.00963804713805, (7.0, 8.0): 0.0153367003367, (7.0, 6.0): 0.0164941077441, (8.0, 4.0): 0.0154882154882, }, ]
+4 Stop [{(5.0, 9.0): 0.0149943883277, (4.0, 7.0): 0.0157687991021, (6.0, 10.0): 0.01544332211, (4.0, 8.0): 0.0151964085297, (5.0, 6.0): 0.0176083754209, (2.0, 8.0): 0.0153120089787, (3.0, 11.0): 0.0107749719416, (4.0, 6.0): 0.0170202020202, (8.0, 9.0): 0.0206498316498, (4.0, 12.0): 0.00457912457912, (2.0, 12.0): 0.00550505050505, (7.0, 11.0): 0.0107749719416, (3.0, 7.0): 0.016350308642, (2.0, 5.0): 0.0279567199776, (1.0, 11.0): 0.00791806958474, (8.0, 5.0): 0.0279567199776, (5.0, 8.0): 0.0153268799102, (7.0, 5.0): 0.0176651936027, (4.0, 9.0): 0.0163159371493, (5.0, 5.0): 0.0169314674523, (2.0, 9.0): 0.0206498316498, (3.0, 10.0): 0.0168675645342, (4.0, 4.0): 0.0143097643098, (8.0, 10.0): 0.0155925925926, (1.0, 5.0): 0.00893167789001, (9.0, 11.0): 0.00791806958474, (4.0, 11.0): 0.0144708193042, (3.0, 6.0): 0.0189648569024, (8.0, 6.0): 0.0166742424242, (3.0, 5.0): 0.0176651936027, (1, 1): 0.0151515151515, (9.0, 7.0): 0.0075140291807, (4.0, 10.0): 0.01544332211, (2.0, 6.0): 0.0166742424242, (6.0, 6.0): 0.0170202020202, (7.0, 10.0): 0.0168675645342, (5.0, 11.0): 0.00991358024691, (4.0, 5.0): 0.0247685185185, (8.0, 11.0): 0.0186374859708, (6.0, 11.0): 0.0144708193042, (2.0, 7.0): 0.0201910774411, (7.0, 7.0): 0.016350308642, (3.0, 9.0): 0.0159652076319, (1.0, 9.0): 0.0075140291807, (8.0, 7.0): 0.0201910774411, (6.0, 12.0): 0.00457912457912, (6.0, 4.0): 0.0143097643098, (2.0, 10.0): 0.0155925925926, (6.0, 5.0): 0.0247685185185, (7.0, 9.0): 0.0159652076319, (6.0, 7.0): 0.0157687991021, (6.0, 9.0): 0.0163159371493, (5.0, 10.0): 0.0156184062851, (6.0, 8.0): 0.0151964085297, (8.0, 12.0): 0.00550505050505, (5.0, 7.0): 0.0153794893378, (2.0, 11.0): 0.0186374859708, (9.0, 9.0): 0.0075140291807, (2.0, 4.0): 0.0159694163861, (3.0, 8.0): 0.0167107182941, (8.0, 8.0): 0.0153120089787, (1.0, 7.0): 0.0075140291807, (9.0, 5.0): 0.00893167789001, (7.0, 8.0): 0.0167107182941, (7.0, 6.0): 0.0189648569024, (8.0, 4.0): 0.0159694163861, }, ]
+5 Stop [{(5.0, 9.0): 0.0156983258511, (4.0, 7.0): 0.0158186026936, (6.0, 10.0): 0.0155311447811, (4.0, 8.0): 0.0159391133558, (5.0, 6.0): 0.0179674932192, (2.0, 8.0): 0.0160959783015, (3.0, 11.0): 0.0104843060232, (4.0, 6.0): 0.0183165918444, (8.0, 9.0): 0.0191589599701, (4.0, 12.0): 0.00393817807707, (2.0, 12.0): 0.00494126449682, (7.0, 11.0): 0.0104843060232, (3.0, 7.0): 0.0174494131126, (2.0, 5.0): 0.028195995838, (1.0, 11.0): 0.00706528245417, (8.0, 5.0): 0.028195995838, (5.0, 8.0): 0.0151813271605, (7.0, 5.0): 0.0195254571175, (4.0, 9.0): 0.0155597643098, (5.0, 5.0): 0.0183584981762, (2.0, 9.0): 0.0191589599701, (3.0, 10.0): 0.0154745230079, (4.0, 4.0): 0.0154110549944, (8.0, 10.0): 0.0155839132061, (1.0, 5.0): 0.0091252922746, (9.0, 11.0): 0.00706528245417, (4.0, 11.0): 0.0121761503928, (3.0, 6.0): 0.0191987595866, (8.0, 6.0): 0.0178854704452, (3.0, 5.0): 0.0195254571175, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00712219416386, (4.0, 10.0): 0.0155311447811, (2.0, 6.0): 0.0178854704452, (6.0, 6.0): 0.0183165918444, (7.0, 10.0): 0.0154745230079, (5.0, 11.0): 0.00940939019828, (4.0, 5.0): 0.0256055345118, (8.0, 11.0): 0.0160088290311, (6.0, 11.0): 0.0121761503928, (2.0, 7.0): 0.0193068976805, (7.0, 7.0): 0.0174494131126, (3.0, 9.0): 0.0172294706322, (1.0, 9.0): 0.00719865319865, (8.0, 7.0): 0.0193068976805, (6.0, 12.0): 0.00393817807707, (6.0, 4.0): 0.0154110549944, (2.0, 10.0): 0.0155839132061, (6.0, 5.0): 0.0256055345118, (7.0, 9.0): 0.0172294706322, (6.0, 7.0): 0.0158186026936, (6.0, 9.0): 0.0155597643098, (5.0, 10.0): 0.0142153385709, (6.0, 8.0): 0.0159391133558, (8.0, 12.0): 0.00494126449682, (5.0, 7.0): 0.0158632037972, (2.0, 11.0): 0.0160088290311, (9.0, 9.0): 0.00719865319865, (2.0, 4.0): 0.0173036148522, (3.0, 8.0): 0.016427043584, (8.0, 8.0): 0.0160959783015, (1.0, 7.0): 0.00712219416386, (9.0, 5.0): 0.0091252922746, (7.0, 8.0): 0.016427043584, (7.0, 6.0): 0.0191987595866, (8.0, 4.0): 0.0173036148522, }, ]
+6 Stop [{(5.0, 9.0): 0.0150716431288, (4.0, 7.0): 0.0165543396932, (6.0, 10.0): 0.0141888452425, (4.0, 8.0): 0.0157476025689, (5.0, 6.0): 0.0189774719611, (2.0, 8.0): 0.0155611725277, (3.0, 11.0): 0.00937344494326, (4.0, 6.0): 0.0187875974249, (8.0, 9.0): 0.0191168259758, (4.0, 12.0): 0.00334208442449, (2.0, 12.0): 0.00431522633745, (7.0, 11.0): 0.00937344494326, (3.0, 7.0): 0.0174379600402, (2.0, 5.0): 0.0299493386605, (1.0, 11.0): 0.00620077939893, (8.0, 5.0): 0.0299493386605, (5.0, 8.0): 0.0157199015619, (7.0, 5.0): 0.0202478725332, (4.0, 9.0): 0.0159148272852, (5.0, 5.0): 0.0191139671211, (2.0, 9.0): 0.0191168259758, (3.0, 10.0): 0.0153496947874, (4.0, 4.0): 0.0162407056678, (8.0, 10.0): 0.0142253061479, (1.0, 5.0): 0.00926197877697, (9.0, 11.0): 0.00620077939893, (4.0, 11.0): 0.0112220738247, (3.0, 6.0): 0.0205274879778, (8.0, 6.0): 0.0179118525533, (3.0, 5.0): 0.0202478725332, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00677891336202, (4.0, 10.0): 0.0141888452425, (2.0, 6.0): 0.0179118525533, (6.0, 6.0): 0.0187875974249, (7.0, 10.0): 0.0153496947874, (5.0, 11.0): 0.00830981793241, (4.0, 5.0): 0.0275496360207, (8.0, 11.0): 0.014708599576, (6.0, 11.0): 0.0112220738247, (2.0, 7.0): 0.0197026342904, (7.0, 7.0): 0.0174379600402, (3.0, 9.0): 0.0165540474186, (1.0, 9.0): 0.00679248659434, (8.0, 7.0): 0.0197026342904, (6.0, 12.0): 0.00334208442449, (6.0, 4.0): 0.0162407056678, (2.0, 10.0): 0.0142253061479, (6.0, 5.0): 0.0275496360207, (7.0, 9.0): 0.0165540474186, (6.0, 7.0): 0.0165543396932, (6.0, 9.0): 0.0159148272852, (5.0, 10.0): 0.0139264150767, (6.0, 8.0): 0.0157476025689, (8.0, 12.0): 0.00431522633745, (5.0, 7.0): 0.0159717594541, (2.0, 11.0): 0.014708599576, (9.0, 9.0): 0.00679248659434, (2.0, 4.0): 0.0180504727054, (3.0, 8.0): 0.0172649475465, (8.0, 8.0): 0.0155611725277, (1.0, 7.0): 0.00677891336202, (9.0, 5.0): 0.00926197877697, (7.0, 8.0): 0.0172649475465, (7.0, 6.0): 0.0205274879778, (8.0, 4.0): 0.0180504727054, }, ]
+7 Stop [{(5.0, 9.0): 0.0150790049024, (4.0, 7.0): 0.0167078102917, (6.0, 10.0): 0.0136373216735, (4.0, 8.0): 0.0161860743235, (5.0, 6.0): 0.0195278560668, (2.0, 8.0): 0.0156457734703, (3.0, 11.0): 0.00875475035333, (4.0, 6.0): 0.0198251454618, (8.0, 9.0): 0.0181437458276, (4.0, 12.0): 0.00298437377894, (2.0, 12.0): 0.00388984204182, (7.0, 11.0): 0.00875475035333, (3.0, 7.0): 0.0181253861824, (2.0, 5.0): 0.0308744913393, (1.0, 11.0): 0.00555182296213, (8.0, 5.0): 0.0308744913393, (5.0, 8.0): 0.0155550254019, (7.0, 5.0): 0.0214876265728, (4.0, 9.0): 0.0152776351478, (5.0, 5.0): 0.0202875277742, (2.0, 9.0): 0.0181437458276, (3.0, 10.0): 0.014276537115, (4.0, 4.0): 0.0173035648408, (8.0, 10.0): 0.0134923478821, (1.0, 5.0): 0.0096225458319, (9.0, 11.0): 0.00555182296213, (4.0, 11.0): 0.009999862036, (3.0, 6.0): 0.0210095062245, (8.0, 6.0): 0.0185627197139, (3.0, 5.0): 0.0214876265728, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00667322906275, (4.0, 10.0): 0.0136373216735, (2.0, 6.0): 0.0185627197139, (6.0, 6.0): 0.0198251454618, (7.0, 10.0): 0.014276537115, (5.0, 11.0): 0.00772372404082, (4.0, 5.0): 0.0288149512259, (8.0, 11.0): 0.0131483907387, (6.0, 11.0): 0.009999862036, (2.0, 7.0): 0.0193863952579, (7.0, 7.0): 0.0181253861824, (3.0, 9.0): 0.0165916729668, (1.0, 9.0): 0.0065823809598, (8.0, 7.0): 0.0193863952579, (6.0, 12.0): 0.00298437377894, (6.0, 4.0): 0.0173035648408, (2.0, 10.0): 0.0134923478821, (6.0, 5.0): 0.0288149512259, (7.0, 9.0): 0.0165916729668, (6.0, 7.0): 0.0167078102917, (6.0, 9.0): 0.0152776351478, (5.0, 10.0): 0.0128865519547, (6.0, 8.0): 0.0161860743235, (8.0, 12.0): 0.00388984204182, (5.0, 7.0): 0.0165829523209, (2.0, 11.0): 0.0131483907387, (9.0, 9.0): 0.0065823809598, (2.0, 4.0): 0.0190083492396, (3.0, 8.0): 0.017038668671, (8.0, 8.0): 0.0156457734703, (1.0, 7.0): 0.00667322906275, (9.0, 5.0): 0.0096225458319, (7.0, 8.0): 0.017038668671, (7.0, 6.0): 0.0210095062245, (8.0, 4.0): 0.0190083492396, }, ]
+8 Stop [{(5.0, 9.0): 0.0144937340849, (4.0, 7.0): 0.0172689071506, (6.0, 10.0): 0.0126796283272, (4.0, 8.0): 0.0160071414973, (5.0, 6.0): 0.0204625572156, (2.0, 8.0): 0.0152479139581, (3.0, 11.0): 0.00798841505227, (4.0, 6.0): 0.0204321799271, (8.0, 9.0): 0.0176065207925, (4.0, 12.0): 0.00266143493231, (2.0, 12.0): 0.00348801247038, (7.0, 11.0): 0.00798841505227, (3.0, 7.0): 0.0182177392164, (2.0, 5.0): 0.032258190621, (1.0, 11.0): 0.00496730993751, (8.0, 5.0): 0.032258190621, (5.0, 8.0): 0.0157780226958, (7.0, 5.0): 0.0223233158122, (4.0, 9.0): 0.0150681717813, (5.0, 5.0): 0.0211861510411, (2.0, 9.0): 0.0176065207925, (3.0, 10.0): 0.0136179583436, (4.0, 4.0): 0.0182567661624, (8.0, 10.0): 0.0124846469797, (1.0, 5.0): 0.00995702147249, (9.0, 11.0): 0.00496730993751, (4.0, 11.0): 0.00922480801638, (3.0, 6.0): 0.0219320212612, (8.0, 6.0): 0.0188220086227, (3.0, 5.0): 0.0223233158122, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00656768040769, (4.0, 10.0): 0.0126796283272, (2.0, 6.0): 0.0188220086227, (6.0, 6.0): 0.0204321799271, (7.0, 10.0): 0.0136179583436, (5.0, 11.0): 0.00702579081262, (4.0, 5.0): 0.0305064446987, (8.0, 11.0): 0.0120099576125, (6.0, 11.0): 0.00922480801638, (2.0, 7.0): 0.0195594314356, (7.0, 7.0): 0.0182177392164, (3.0, 9.0): 0.0159341328072, (1.0, 9.0): 0.00631514811784, (8.0, 7.0): 0.0195594314356, (6.0, 12.0): 0.00266143493231, (6.0, 4.0): 0.0182567661624, (2.0, 10.0): 0.0124846469797, (6.0, 5.0): 0.0305064446987, (7.0, 9.0): 0.0159341328072, (6.0, 7.0): 0.0172689071506, (6.0, 9.0): 0.0150681717813, (5.0, 10.0): 0.0122961896504, (6.0, 8.0): 0.0160071414973, (8.0, 12.0): 0.00348801247038, (5.0, 7.0): 0.0167727466292, (2.0, 11.0): 0.0120099576125, (9.0, 9.0): 0.00631514811784, (2.0, 4.0): 0.0197956717329, (3.0, 8.0): 0.0172180672125, (8.0, 8.0): 0.0152479139581, (1.0, 7.0): 0.00656768040769, (9.0, 5.0): 0.00995702147249, (7.0, 8.0): 0.0172180672125, (7.0, 6.0): 0.0219320212612, (8.0, 4.0): 0.0197956717329, }, ]
+9 Stop [{(5.0, 9.0): 0.0141667466073, (4.0, 7.0): 0.0174509759863, (6.0, 10.0): 0.0120185940225, (4.0, 8.0): 0.0160680803531, (5.0, 6.0): 0.0211086061483, (2.0, 8.0): 0.0150480061638, (3.0, 11.0): 0.0074064703392, (4.0, 6.0): 0.021311836234, (8.0, 9.0): 0.0167911245757, (4.0, 12.0): 0.00242461298017, (2.0, 12.0): 0.00316433042554, (7.0, 11.0): 0.0074064703392, (3.0, 7.0): 0.0185690389148, (2.0, 5.0): 0.0333623441083, (1.0, 11.0): 0.00448531457083, (8.0, 5.0): 0.0333623441083, (5.0, 8.0): 0.0155920867482, (7.0, 5.0): 0.0233522752601, (4.0, 9.0): 0.0144770728042, (5.0, 5.0): 0.022286205065, (2.0, 9.0): 0.0167911245757, (3.0, 10.0): 0.0127309153299, (4.0, 4.0): 0.0192971979808, (8.0, 10.0): 0.0117043284561, (1.0, 5.0): 0.0103548758397, (9.0, 11.0): 0.00448531457083, (4.0, 11.0): 0.00842787051844, (3.0, 6.0): 0.0224785106144, (8.0, 6.0): 0.0193159141834, (3.0, 5.0): 0.0233522752601, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00654374544312, (4.0, 10.0): 0.0120185940225, (2.0, 6.0): 0.0193159141834, (6.0, 6.0): 0.021311836234, (7.0, 10.0): 0.0127309153299, (5.0, 11.0): 0.00652945910971, (4.0, 5.0): 0.0319008838866, (8.0, 11.0): 0.0109052686242, (6.0, 11.0): 0.00842787051844, (2.0, 7.0): 0.0194436026203, (7.0, 7.0): 0.0185690389148, (3.0, 9.0): 0.0155104682135, (1.0, 9.0): 0.00609199419101, (8.0, 7.0): 0.0194436026203, (6.0, 12.0): 0.00242461298017, (6.0, 4.0): 0.0192971979808, (2.0, 10.0): 0.0117043284561, (6.0, 5.0): 0.0319008838866, (7.0, 9.0): 0.0155104682135, (6.0, 7.0): 0.0174509759863, (6.0, 9.0): 0.0144770728042, (5.0, 10.0): 0.01150184639, (6.0, 8.0): 0.0160680803531, (8.0, 12.0): 0.00316433042554, (5.0, 7.0): 0.0172215272563, (2.0, 11.0): 0.0109052686242, (9.0, 9.0): 0.00609199419101, (2.0, 4.0): 0.0206505660734, (3.0, 8.0): 0.0169347850484, (8.0, 8.0): 0.0150480061638, (1.0, 7.0): 0.00654374544312, (9.0, 5.0): 0.0103548758397, (7.0, 8.0): 0.0169347850484, (7.0, 6.0): 0.0224785106144, (8.0, 4.0): 0.0206505660734, }, ]
+10 Stop [{(5.0, 9.0): 0.0136194452906, (4.0, 7.0): 0.0177815898496, (6.0, 10.0): 0.0112640282639, (4.0, 8.0): 0.0158333456241, (5.0, 6.0): 0.0219341067877, (2.0, 8.0): 0.0146697073694, (3.0, 11.0): 0.00682530314658, (4.0, 6.0): 0.0219502981427, (8.0, 9.0): 0.0161209285089, (4.0, 12.0): 0.00221284941313, (2.0, 12.0): 0.00287232157921, (7.0, 11.0): 0.00682530314658, (3.0, 7.0): 0.0186352830388, (2.0, 5.0): 0.0346275461297, (1.0, 11.0): 0.00406020205611, (8.0, 5.0): 0.0346275461297, (5.0, 8.0): 0.0155472113209, (7.0, 5.0): 0.0242081103523, (4.0, 9.0): 0.0140432593372, (5.0, 5.0): 0.0232413812779, (2.0, 9.0): 0.0161209285089, (3.0, 10.0): 0.0120134500879, (4.0, 4.0): 0.0202822269526, (8.0, 10.0): 0.0108962952169, (1.0, 5.0): 0.0107378286046, (9.0, 11.0): 0.00406020205611, (4.0, 11.0): 0.00781133863339, (3.0, 6.0): 0.0231893224314, (8.0, 6.0): 0.0196511928306, (3.0, 5.0): 0.0242081103523, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00651247315827, (4.0, 10.0): 0.0112640282639, (2.0, 6.0): 0.0196511928306, (6.0, 6.0): 0.0219502981427, (7.0, 10.0): 0.0120134500879, (5.0, 11.0): 0.00603215639309, (4.0, 5.0): 0.0334789784641, (8.0, 11.0): 0.00999191543221, (6.0, 11.0): 0.00781133863339, (2.0, 7.0): 0.0194896982796, (7.0, 7.0): 0.0186352830388, (3.0, 9.0): 0.0148625468836, (1.0, 9.0): 0.00584451785813, (8.0, 7.0): 0.0194896982796, (6.0, 12.0): 0.00221284941313, (6.0, 4.0): 0.0202822269526, (2.0, 10.0): 0.0108962952169, (6.0, 5.0): 0.0334789784641, (7.0, 9.0): 0.0148625468836, (6.0, 7.0): 0.0177815898496, (6.0, 9.0): 0.0140432593372, (5.0, 10.0): 0.0108960804843, (6.0, 8.0): 0.0158333456241, (8.0, 12.0): 0.00287232157921, (5.0, 7.0): 0.0174027098123, (2.0, 11.0): 0.00999191543221, (9.0, 9.0): 0.00584451785813, (2.0, 4.0): 0.0214460644062, (3.0, 8.0): 0.01677507469, (8.0, 8.0): 0.0146697073694, (1.0, 7.0): 0.00651247315827, (9.0, 5.0): 0.0107378286046, (7.0, 8.0): 0.01677507469, (7.0, 6.0): 0.0231893224314, (8.0, 4.0): 0.0214460644062, }, ]
+11 Stop [{(5.0, 9.0): 0.0131742227091, (4.0, 7.0): 0.0179060953486, (6.0, 10.0): 0.0106399159067, (4.0, 8.0): 0.0156706233598, (5.0, 6.0): 0.0225836991024, (2.0, 8.0): 0.0143517131385, (3.0, 11.0): 0.00633451132156, (4.0, 6.0): 0.0226859809208, (8.0, 9.0): 0.0153786310551, (4.0, 12.0): 0.00203950624327, (2.0, 12.0): 0.0026227597651, (7.0, 11.0): 0.00633451132156, (3.0, 7.0): 0.0187743404965, (2.0, 5.0): 0.035775708914, (1.0, 11.0): 0.00369542026676, (8.0, 5.0): 0.035775708914, (5.0, 8.0): 0.0153092504938, (7.0, 5.0): 0.0251328891642, (4.0, 9.0): 0.0134811089439, (5.0, 5.0): 0.0242813737367, (2.0, 9.0): 0.0153786310551, (3.0, 10.0): 0.0112660511746, (4.0, 4.0): 0.0213007729643, (8.0, 10.0): 0.0101989606202, (1.0, 5.0): 0.0111401719906, (9.0, 11.0): 0.00369542026676, (4.0, 11.0): 0.00722595266624, (3.0, 6.0): 0.0237172972628, (8.0, 6.0): 0.0200629494195, (3.0, 5.0): 0.0251328891642, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00650451962574, (4.0, 10.0): 0.0106399159067, (2.0, 6.0): 0.0200629494195, (6.0, 6.0): 0.0226859809208, (7.0, 10.0): 0.0112660511746, (5.0, 11.0): 0.00562622423713, (4.0, 5.0): 0.0349000821754, (8.0, 11.0): 0.00915462099225, (6.0, 11.0): 0.00722595266624, (2.0, 7.0): 0.0194085216461, (7.0, 7.0): 0.0187743404965, (3.0, 9.0): 0.0143047849326, (1.0, 9.0): 0.00560908034722, (8.0, 7.0): 0.0194085216461, (6.0, 12.0): 0.00203950624327, (6.0, 4.0): 0.0213007729643, (2.0, 10.0): 0.0101989606202, (6.0, 5.0): 0.0349000821754, (7.0, 9.0): 0.0143047849326, (6.0, 7.0): 0.0179060953486, (6.0, 9.0): 0.0134811089439, (5.0, 10.0): 0.0102534596077, (6.0, 8.0): 0.0156706233598, (8.0, 12.0): 0.0026227597651, (5.0, 7.0): 0.0176657364902, (2.0, 11.0): 0.00915462099225, (9.0, 9.0): 0.00560908034722, (2.0, 4.0): 0.0222655475796, (3.0, 8.0): 0.0164287409939, (8.0, 8.0): 0.0143517131385, (1.0, 7.0): 0.00650451962574, (9.0, 5.0): 0.0111401719906, (7.0, 8.0): 0.0164287409939, (7.0, 6.0): 0.0237172972628, (8.0, 4.0): 0.0222655475796, }, ]
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+13 Stop [{(5.0, 9.0): 0.012190537154, (4.0, 7.0): 0.0181102880645, (6.0, 10.0): 0.00946164859405, (4.0, 8.0): 0.0151067078106, (5.0, 6.0): 0.0238764551151, (2.0, 8.0): 0.0136089370979, (3.0, 11.0): 0.005469412262, (4.0, 6.0): 0.0238938287258, (8.0, 9.0): 0.0140220978936, (4.0, 12.0): 0.00174963073672, (2.0, 12.0): 0.00220478800633, (7.0, 11.0): 0.005469412262, (3.0, 7.0): 0.0187886306045, (2.0, 5.0): 0.0381087813453, (1.0, 11.0): 0.00309152034891, (8.0, 5.0): 0.0381087813453, (5.0, 8.0): 0.0148278856438, (7.0, 5.0): 0.0268140911315, (4.0, 9.0): 0.0124569544543, (5.0, 5.0): 0.0261970649534, (2.0, 9.0): 0.0140220978936, (3.0, 10.0): 0.0099749068257, (4.0, 4.0): 0.0232694156737, (8.0, 10.0): 0.00893438713695, (1.0, 5.0): 0.0119286654065, (9.0, 11.0): 0.00309152034891, (4.0, 11.0): 0.0062704145757, (3.0, 6.0): 0.0247591900399, (8.0, 6.0): 0.0207462489567, (3.0, 5.0): 0.0268140911315, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00647173092849, (4.0, 10.0): 0.00946164859405, (2.0, 6.0): 0.0207462489567, (6.0, 6.0): 0.0238938287258, (7.0, 10.0): 0.0099749068257, (5.0, 11.0): 0.00490867237671, (4.0, 5.0): 0.037766686697, (8.0, 11.0): 0.00777289314176, (6.0, 11.0): 0.0062704145757, (2.0, 7.0): 0.0192685708315, (7.0, 7.0): 0.0187886306045, (3.0, 9.0): 0.0131182264627, (1.0, 9.0): 0.00513410651596, (8.0, 7.0): 0.0192685708315, (6.0, 12.0): 0.00174963073672, (6.0, 4.0): 0.0232694156737, (2.0, 10.0): 0.00893438713695, (6.0, 5.0): 0.037766686697, (7.0, 9.0): 0.0131182264627, (6.0, 7.0): 0.0181102880645, (6.0, 9.0): 0.0124569544543, (5.0, 10.0): 0.00916234294986, (6.0, 8.0): 0.0151067078106, (8.0, 12.0): 0.00220478800633, (5.0, 7.0): 0.0179018188889, (2.0, 11.0): 0.00777289314176, (9.0, 9.0): 0.00513410651596, (2.0, 4.0): 0.0238536317127, (3.0, 8.0): 0.0157354619021, (8.0, 8.0): 0.0136089370979, (1.0, 7.0): 0.00647173092849, (9.0, 5.0): 0.0119286654065, (7.0, 8.0): 0.0157354619021, (7.0, 6.0): 0.0247591900399, (8.0, 4.0): 0.0238536317127, }, ]
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+19 Stop [{(5.0, 9.0): 0.0096127228724, (4.0, 7.0): 0.0178815312232, (6.0, 10.0): 0.00682848883208, (4.0, 8.0): 0.013154166374, (5.0, 6.0): 0.026640473711, (2.0, 8.0): 0.0114789642465, (3.0, 11.0): 0.00368938148985, (4.0, 6.0): 0.0265219341487, (8.0, 9.0): 0.0106405409561, (4.0, 12.0): 0.00117725671676, (2.0, 12.0): 0.00139784221492, (7.0, 11.0): 0.00368938148985, (3.0, 7.0): 0.0182126197469, (2.0, 5.0): 0.044370330771, (1.0, 11.0): 0.00193996029235, (8.0, 5.0): 0.044370330771, (5.0, 8.0): 0.0130193448368, (7.0, 5.0): 0.0310849451959, (4.0, 9.0): 0.00975748058539, (5.0, 5.0): 0.031033173298, (2.0, 9.0): 0.0106405409561, (3.0, 10.0): 0.00708635249973, (4.0, 4.0): 0.0285769687406, (8.0, 10.0): 0.00621278694758, (1.0, 5.0): 0.0141311537566, (9.0, 11.0): 0.00193996029235, (4.0, 11.0): 0.00429973687137, (3.0, 6.0): 0.0269527299326, (8.0, 6.0): 0.0223013147238, (3.0, 5.0): 0.0310849451959, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00625037145307, (4.0, 10.0): 0.00682848883208, (2.0, 6.0): 0.0223013147238, (6.0, 6.0): 0.0265219341487, (7.0, 10.0): 0.00708635249973, (5.0, 11.0): 0.0034131166666, (4.0, 5.0): 0.0451541482232, (8.0, 11.0): 0.00503938984597, (6.0, 11.0): 0.00429973687137, (2.0, 7.0): 0.0184475558322, (7.0, 7.0): 0.0182126197469, (3.0, 9.0): 0.0101051325989, (1.0, 9.0): 0.00389159787685, (8.0, 7.0): 0.0184475558322, (6.0, 12.0): 0.00117725671676, (6.0, 4.0): 0.0285769687406, (2.0, 10.0): 0.00621278694758, (6.0, 5.0): 0.0451541482232, (7.0, 9.0): 0.0101051325989, (6.0, 7.0): 0.0178815312232, (6.0, 9.0): 0.00975748058539, (5.0, 10.0): 0.00667774019746, (6.0, 8.0): 0.013154166374, (8.0, 12.0): 0.00139784221492, (5.0, 7.0): 0.0177881851039, (2.0, 11.0): 0.00503938984597, (9.0, 9.0): 0.00389159787685, (2.0, 4.0): 0.0282622497147, (3.0, 8.0): 0.0134849322701, (8.0, 8.0): 0.0114789642465, (1.0, 7.0): 0.00625037145307, (9.0, 5.0): 0.0141311537566, (7.0, 8.0): 0.0134849322701, (7.0, 6.0): 0.0269527299326, (8.0, 4.0): 0.0282622497147, }, ]
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+87 Stop [{(5.0, 9.0): 0.00384562222817, (4.0, 7.0): 0.0152038620295, (6.0, 10.0): 0.0019381208255, (4.0, 8.0): 0.00763927001025, (5.0, 6.0): 0.0303266329582, (2.0, 8.0): 0.0063653596338, (3.0, 11.0): 0.000813084536445, (4.0, 6.0): 0.0303204767505, (8.0, 9.0): 0.00384957722526, (4.0, 12.0): 0.000244689447265, (2.0, 12.0): 0.000245623269899, (7.0, 11.0): 0.000813084536445, (3.0, 7.0): 0.0152005269218, (2.0, 5.0): 0.0604905574745, (1.0, 11.0): 0.00032794775576, (8.0, 5.0): 0.0604905574745, (5.0, 8.0): 0.0076395456045, (7.0, 5.0): 0.0403649719749, (4.0, 9.0): 0.00384595425756, (5.0, 5.0): 0.0403905288098, (2.0, 9.0): 0.00384957722526, (3.0, 10.0): 0.00193881019027, (4.0, 4.0): 0.0403645163423, (8.0, 10.0): 0.00161695096528, (1.0, 5.0): 0.0201541453445, (9.0, 11.0): 0.00032794775576, (4.0, 11.0): 0.000975641409964, (3.0, 6.0): 0.0303107947175, (8.0, 6.0): 0.0252463531888, (3.0, 5.0): 0.0403649719749, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00506732896558, (4.0, 10.0): 0.0019381208255, (2.0, 6.0): 0.0252463531888, (6.0, 6.0): 0.0303204767505, (7.0, 10.0): 0.00193881019027, (5.0, 11.0): 0.000812021839389, (4.0, 5.0): 0.0605644350338, (8.0, 11.0): 0.000978991891474, (6.0, 11.0): 0.000975641409964, (2.0, 7.0): 0.015197381099, (7.0, 7.0): 0.0152005269218, (3.0, 9.0): 0.00384683222175, (1.0, 9.0): 0.00128619484902, (8.0, 7.0): 0.015197381099, (6.0, 12.0): 0.000244689447265, (6.0, 4.0): 0.0403645163423, (2.0, 10.0): 0.00161695096528, (6.0, 5.0): 0.0605644350338, (7.0, 9.0): 0.00384683222175, (6.0, 7.0): 0.0152038620295, (6.0, 9.0): 0.00384595425756, (5.0, 10.0): 0.00193750229782, (6.0, 8.0): 0.00763927001025, (8.0, 12.0): 0.000245623269899, (5.0, 7.0): 0.0152056422939, (2.0, 11.0): 0.000978991891474, (9.0, 9.0): 0.00128619484902, (2.0, 4.0): 0.0403082906891, (3.0, 8.0): 0.0076388053871, (8.0, 8.0): 0.0063653596338, (1.0, 7.0): 0.00506732896558, (9.0, 5.0): 0.0201541453445, (7.0, 8.0): 0.0076388053871, (7.0, 6.0): 0.0303107947175, (8.0, 4.0): 0.0403082906891, }, ]
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+89 Stop [{(5.0, 9.0): 0.00383864808998, (4.0, 7.0): 0.0151993100192, (6.0, 10.0): 0.00193262811071, (4.0, 8.0): 0.00763210974996, (5.0, 6.0): 0.030328190726, (2.0, 8.0): 0.00635943952577, (3.0, 11.0): 0.000810069436717, (4.0, 6.0): 0.0303227894348, (8.0, 9.0): 0.00384205609204, (4.0, 12.0): 0.000243685785681, (2.0, 12.0): 0.000244495769527, (7.0, 11.0): 0.000810069436717, (3.0, 7.0): 0.0151963446992, (2.0, 5.0): 0.0605141595651, (1.0, 11.0): 0.000326385453241, (8.0, 5.0): 0.0605141595651, (5.0, 8.0): 0.00763236132986, (7.0, 5.0): 0.040375989833, (4.0, 9.0): 0.00383893119758, (5.0, 5.0): 0.0403984888833, (2.0, 9.0): 0.00384205609204, (3.0, 10.0): 0.00193322138389, (4.0, 4.0): 0.0403758787434, (8.0, 10.0): 0.00161212254621, (1.0, 5.0): 0.0201632097699, (9.0, 11.0): 0.000326385453241, (4.0, 11.0): 0.000972034077698, (3.0, 6.0): 0.0303142213173, (8.0, 6.0): 0.0252507452189, (3.0, 5.0): 0.040375989833, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00506584682923, (4.0, 10.0): 0.00193262811071, (2.0, 6.0): 0.0252507452189, (6.0, 6.0): 0.0303227894348, (7.0, 10.0): 0.00193322138389, (5.0, 11.0): 0.000809149098127, (4.0, 5.0): 0.0605790979644, (8.0, 11.0): 0.000974940522014, (6.0, 11.0): 0.000972034077698, (2.0, 7.0): 0.0151935500346, (7.0, 7.0): 0.0151963446992, (3.0, 9.0): 0.00383968140561, (1.0, 9.0): 0.00128329425523, (8.0, 7.0): 0.0151935500346, (6.0, 12.0): 0.000243685785681, (6.0, 4.0): 0.0403758787434, (2.0, 10.0): 0.00161212254621, (6.0, 5.0): 0.0605790979644, (7.0, 9.0): 0.00383968140561, (6.0, 7.0): 0.0151993100192, (6.0, 9.0): 0.00383893119758, (5.0, 10.0): 0.00193209298603, (6.0, 8.0): 0.00763210974996, (8.0, 12.0): 0.000244495769527, (5.0, 7.0): 0.0152008832101, (2.0, 11.0): 0.000974940522014, (9.0, 9.0): 0.00128329425523, (2.0, 4.0): 0.0403264195397, (3.0, 8.0): 0.00763167698202, (8.0, 8.0): 0.00635943952577, (1.0, 7.0): 0.00506584682923, (9.0, 5.0): 0.0201632097699, (7.0, 8.0): 0.00763167698202, (7.0, 6.0): 0.0303142213173, (8.0, 4.0): 0.0403264195397, }, ]
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+"""
diff --git a/tracking/test_cases/q7/3-ExactPredict.test b/tracking/test_cases/q7/3-ExactPredict.test
new file mode 100644
index 0000000..62a3988
--- /dev/null
+++ b/tracking/test_cases/q7/3-ExactPredict.test
@@ -0,0 +1,34 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%
+%% % % % %%
+%    G    %
+%%       %%
+%         %
+%%       %%
+%         %
+%%       %%
+%         %
+%% % % % %%
+%%%%%%%%%%%
+%%%%%%%%P%%
+% %%%%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "200"
+numParticles: "5000"
+numGhosts: "1"
+ghost: "GoSouthAgent"
+errorMsg: "Exact inference elapseTime test: %d inference errors."
+inference: "ExactInference"
+L2Tolerance: "0.0001"
+
diff --git a/tracking/test_cases/q7/4-ExactPredict.solution b/tracking/test_cases/q7/4-ExactPredict.solution
new file mode 100644
index 0000000..f2d71ca
--- /dev/null
+++ b/tracking/test_cases/q7/4-ExactPredict.solution
@@ -0,0 +1,505 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(16, 6): 0.00763358778626, (11, 11): 0.00763358778626, (17, 7): 0.00763358778626, (16, 9): 0.00763358778626, (14, 4): 0.00763358778626, (13, 4): 0.00763358778626, (20, 20): 0.00763358778626, (18, 4): 0.00763358778626, (18, 19): 0.00763358778626, (2, 5): 0.00763358778626, (8, 5): 0.00763358778626, (10, 8): 0.00763358778626, (11, 5): 0.00763358778626, (10, 7): 0.00763358778626, (16, 3): 0.00763358778626, (12, 6): 0.00763358778626, (16, 22): 0.00763358778626, (13, 7): 0.00763358778626, (18, 9): 0.00763358778626, (15, 4): 0.00763358778626, (18, 20): 0.00763358778626, (15, 18): 0.00763358778626, (9, 3): 0.00763358778626, (19, 24): 0.00763358778626, (12, 11): 0.00763358778626, (13, 10): 0.00763358778626, (18, 10): 0.00763358778626, (17, 18): 0.00763358778626, (9, 9): 0.00763358778626, (15, 15): 0.00763358778626, (11, 8): 0.00763358778626, (14, 8): 0.00763358778626, (21, 24): 0.00763358778626, (20, 16): 0.00763358778626, (17, 8): 0.00763358778626, (18, 15): 0.00763358778626, (8, 9): 0.00763358778626, (9, 4): 0.00763358778626, (10, 3): 0.00763358778626, (16, 7): 0.00763358778626, (11, 10): 0.00763358778626, (17, 6): 0.00763358778626, (16, 10): 0.00763358778626, (14, 5): 0.00763358778626, (13, 3): 0.00763358778626, (18, 5): 0.00763358778626, (17, 11): 0.00763358778626, (18, 16): 0.00763358778626, (8, 6): 0.00763358778626, (10, 9): 0.00763358778626, (9, 7): 0.00763358778626, (11, 4): 0.00763358778626, (10, 4): 0.00763358778626, (16, 4): 0.00763358778626, (12, 7): 0.00763358778626, (11, 9): 0.00763358778626, (15, 10): 0.00763358778626, (14, 6): 0.00763358778626, (13, 6): 0.00763358778626, (18, 6): 0.00763358778626, (17, 22): 0.00763358778626, (15, 7): 0.00763358778626, (18, 21): 0.00763358778626, (8, 3): 0.00763358778626, (10, 10): 0.00763358778626, (11, 3): 0.00763358778626, (12, 4): 0.00763358778626, (15, 9): 0.00763358778626, (14, 3): 0.00763358778626, (13, 9): 0.00763358778626, (12, 8): 0.00763358778626, (18, 11): 0.00763358778626, (18, 22): 0.00763358778626, (9, 8): 0.00763358778626, (14, 9): 0.00763358778626, (12, 9): 0.00763358778626, (17, 15): 0.00763358778626, (21, 20): 0.00763358778626, (18, 12): 0.00763358778626, (15, 11): 0.00763358778626, (8, 10): 0.00763358778626, (9, 11): 0.00763358778626, (12, 3): 0.00763358778626, (17, 5): 0.00763358778626, (16, 11): 0.00763358778626, (14, 10): 0.00763358778626, (17, 10): 0.00763358778626, (15, 3): 0.00763358778626, (18, 17): 0.00763358778626, (8, 7): 0.00763358778626, (9, 6): 0.00763358778626, (11, 7): 0.00763358778626, (10, 5): 0.00763358778626, (16, 5): 0.00763358778626, (20, 24): 0.00763358778626, (19, 16): 0.00763358778626, (16, 8): 0.00763358778626, (14, 7): 0.00763358778626, (13, 5): 0.00763358778626, (18, 7): 0.00763358778626, (15, 6): 0.00763358778626, (18, 18): 0.00763358778626, (8, 4): 0.00763358778626, (10, 11): 0.00763358778626, (13, 8): 0.00763358778626, (10, 6): 0.00763358778626, (15, 22): 0.00763358778626, (12, 5): 0.00763358778626, (17, 3): 0.00763358778626, (15, 8): 0.00763358778626, (21, 16): 0.00763358778626, (18, 8): 0.00763358778626, (15, 5): 0.00763358778626, (18, 23): 0.00763358778626, (16, 15): 0.00763358778626, (12, 10): 0.00763358778626, (16, 18): 0.00763358778626, (13, 11): 0.00763358778626, (18, 13): 0.00763358778626, (18, 24): 0.00763358778626, (8, 11): 0.00763358778626, (9, 10): 0.00763358778626, (19, 20): 0.00763358778626, (17, 4): 0.00763358778626, (14, 11): 0.00763358778626, (18, 3): 0.00763358778626, (17, 9): 0.00763358778626, (18, 14): 0.00763358778626, (8, 8): 0.00763358778626, (9, 5): 0.00763358778626, (11, 6): 0.00763358778626, }, ]
+1 Stop [{(16, 6): 0.00763358778626, (11, 11): 0.00763358778626, (17, 7): 0.00763358778626, (16, 9): 0.00763358778626, (14, 4): 0.00763358778626, (13, 4): 0.00763358778626, (20, 20): 0.00763358778626, (18, 4): 0.00763358778626, (18, 19): 0.00763358778626, (2, 5): 0.00763358778626, (8, 5): 0.00763358778626, (10, 8): 0.00763358778626, (11, 5): 0.00763358778626, (10, 7): 0.00763358778626, (16, 3): 0.00763358778626, (12, 6): 0.00763358778626, (16, 22): 0.00763358778626, (13, 7): 0.00763358778626, (18, 9): 0.00763358778626, (15, 4): 0.00763358778626, (18, 20): 0.00763358778626, (15, 18): 0.00763358778626, (9, 3): 0.00763358778626, (19, 24): 0.00763358778626, (12, 11): 0.00763358778626, (13, 10): 0.00763358778626, (18, 10): 0.00763358778626, (17, 18): 0.00763358778626, (9, 9): 0.00763358778626, (15, 15): 0.00763358778626, (11, 8): 0.00763358778626, (14, 8): 0.00763358778626, (21, 24): 0.00763358778626, (20, 16): 0.00763358778626, (17, 8): 0.00763358778626, (18, 15): 0.00763358778626, (8, 9): 0.00763358778626, (9, 4): 0.00763358778626, (10, 3): 0.00763358778626, (16, 7): 0.00763358778626, (11, 10): 0.00763358778626, (17, 6): 0.00763358778626, (16, 10): 0.00763358778626, (14, 5): 0.00763358778626, (13, 3): 0.00763358778626, (18, 5): 0.00763358778626, (17, 11): 0.00763358778626, (18, 16): 0.00763358778626, (8, 6): 0.00763358778626, (10, 9): 0.00763358778626, (9, 7): 0.00763358778626, (11, 4): 0.00763358778626, (10, 4): 0.00763358778626, (16, 4): 0.00763358778626, (12, 7): 0.00763358778626, (11, 9): 0.00763358778626, (15, 10): 0.00763358778626, (14, 6): 0.00763358778626, (13, 6): 0.00763358778626, (18, 6): 0.00763358778626, (17, 22): 0.00763358778626, (15, 7): 0.00763358778626, (18, 21): 0.00763358778626, (8, 3): 0.00763358778626, (10, 10): 0.00763358778626, (11, 3): 0.00763358778626, (12, 4): 0.00763358778626, (15, 9): 0.00763358778626, (14, 3): 0.00763358778626, (13, 9): 0.00763358778626, (12, 8): 0.00763358778626, (18, 11): 0.00763358778626, (18, 22): 0.00763358778626, (9, 8): 0.00763358778626, (14, 9): 0.00763358778626, (12, 9): 0.00763358778626, (17, 15): 0.00763358778626, (21, 20): 0.00763358778626, (18, 12): 0.00763358778626, (15, 11): 0.00763358778626, (8, 10): 0.00763358778626, (9, 11): 0.00763358778626, (12, 3): 0.00763358778626, (17, 5): 0.00763358778626, (16, 11): 0.00763358778626, (14, 10): 0.00763358778626, (17, 10): 0.00763358778626, (15, 3): 0.00763358778626, (18, 17): 0.00763358778626, (8, 7): 0.00763358778626, (9, 6): 0.00763358778626, (11, 7): 0.00763358778626, (10, 5): 0.00763358778626, (16, 5): 0.00763358778626, (20, 24): 0.00763358778626, (19, 16): 0.00763358778626, (16, 8): 0.00763358778626, (14, 7): 0.00763358778626, (13, 5): 0.00763358778626, (18, 7): 0.00763358778626, (15, 6): 0.00763358778626, (18, 18): 0.00763358778626, (8, 4): 0.00763358778626, (10, 11): 0.00763358778626, (13, 8): 0.00763358778626, (10, 6): 0.00763358778626, (15, 22): 0.00763358778626, (12, 5): 0.00763358778626, (17, 3): 0.00763358778626, (15, 8): 0.00763358778626, (21, 16): 0.00763358778626, (18, 8): 0.00763358778626, (15, 5): 0.00763358778626, (18, 23): 0.00763358778626, (16, 15): 0.00763358778626, (12, 10): 0.00763358778626, (16, 18): 0.00763358778626, (13, 11): 0.00763358778626, (18, 13): 0.00763358778626, (18, 24): 0.00763358778626, (8, 11): 0.00763358778626, (9, 10): 0.00763358778626, (19, 20): 0.00763358778626, (17, 4): 0.00763358778626, (14, 11): 0.00763358778626, (18, 3): 0.00763358778626, (17, 9): 0.00763358778626, (18, 14): 0.00763358778626, (8, 8): 0.00763358778626, (9, 5): 0.00763358778626, (11, 6): 0.00763358778626, }, ]
+2 Stop [{(16.0, 6.0): 0.00763358778626, (11.0, 11.0): 0.00725190839695, (17.0, 7.0): 0.00801526717557, (16.0, 9.0): 0.00763358778626, (14.0, 4.0): 0.00801526717557, (13.0, 4.0): 0.00801526717557, (20.0, 20.0): 0.0089058524173, (18.0, 4.0): 0.00788804071247, (18.0, 19.0): 0.00636132315522, (8.0, 5.0): 0.00725190839695, (10.0, 8.0): 0.00763358778626, (11.0, 5.0): 0.00763358778626, (10.0, 7.0): 0.00763358778626, (16.0, 3.0): 0.00725190839695, (12.0, 6.0): 0.00763358778626, (16.0, 22.0): 0.0089058524173, (13.0, 7.0): 0.00763358778626, (18.0, 9.0): 0.00725190839695, (15.0, 4.0): 0.00801526717557, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00636132315522, (9.0, 3.0): 0.00788804071247, (19.0, 24.0): 0.00763358778626, (12.0, 11.0): 0.00725190839695, (13.0, 10.0): 0.00801526717557, (18.0, 10.0): 0.00725190839695, (17.0, 18.0): 0.00699745547074, (9.0, 9.0): 0.00801526717557, (16.0, 18.0): 0.0089058524173, (11.0, 8.0): 0.00763358778626, (14.0, 8.0): 0.00763358778626, (21.0, 24.0): 0.00636132315522, (20.0, 16.0): 0.0089058524173, (17.0, 8.0): 0.00801526717557, (18.0, 15.0): 0.0089058524173, (8.0, 9.0): 0.00725190839695, (9.0, 4.0): 0.00839694656489, (10.0, 3.0): 0.00725190839695, (16.0, 7.0): 0.00763358778626, (11.0, 10.0): 0.00801526717557, (17.0, 6.0): 0.00801526717557, (16.0, 10.0): 0.00801526717557, (14.0, 5.0): 0.00763358778626, (13.0, 3.0): 0.00725190839695, (18.0, 5.0): 0.00725190839695, (17.0, 11.0): 0.00725190839695, (18.0, 16.0): 0.0089058524173, (8.0, 6.0): 0.00725190839695, (10.0, 9.0): 0.00763358778626, (9.0, 7.0): 0.00801526717557, (11.0, 4.0): 0.00801526717557, (10.0, 4.0): 0.00801526717557, (16.0, 4.0): 0.00801526717557, (12.0, 7.0): 0.00763358778626, (11.0, 9.0): 0.00763358778626, (15.0, 10.0): 0.00801526717557, (14.0, 6.0): 0.00763358778626, (13.0, 6.0): 0.00763358778626, (18.0, 6.0): 0.00725190839695, (17.0, 22.0): 0.00699745547074, (15.0, 7.0): 0.00763358778626, (18.0, 21.0): 0.00636132315522, (8.0, 3.0): 0.00636132315522, (10.0, 10.0): 0.00801526717557, (11.0, 3.0): 0.00725190839695, (12.0, 4.0): 0.00801526717557, (15.0, 9.0): 0.00763358778626, (14.0, 3.0): 0.00725190839695, (13.0, 9.0): 0.00763358778626, (12.0, 8.0): 0.00763358778626, (18.0, 11.0): 0.00826972010178, (18.0, 22.0): 0.00954198473282, (9.0, 8.0): 0.00801526717557, (14.0, 9.0): 0.00763358778626, (12.0, 9.0): 0.00763358778626, (17.0, 15.0): 0.00699745547074, (21.0, 20.0): 0.00636132315522, (18.0, 12.0): 0.00699745547074, (15.0, 11.0): 0.00725190839695, (8.0, 10.0): 0.00788804071247, (9.0, 11.0): 0.00788804071247, (12.0, 3.0): 0.00725190839695, (17.0, 5.0): 0.00801526717557, (16.0, 11.0): 0.00725190839695, (14.0, 10.0): 0.00801526717557, (17.0, 10.0): 0.00839694656489, (15.0, 3.0): 0.00725190839695, (18.0, 17.0): 0.00636132315522, (8.0, 7.0): 0.00725190839695, (9.0, 6.0): 0.00801526717557, (11.0, 7.0): 0.00763358778626, (10.0, 5.0): 0.00763358778626, (16.0, 5.0): 0.00763358778626, (20.0, 24.0): 0.0089058524173, (19.0, 16.0): 0.00699745547074, (16.0, 8.0): 0.00763358778626, (14.0, 7.0): 0.00763358778626, (13.0, 5.0): 0.00763358778626, (18.0, 20.0): 0.00954198473282, (18.0, 7.0): 0.00725190839695, (15.0, 6.0): 0.00763358778626, (18.0, 18.0): 0.00954198473282, (8.0, 4.0): 0.00788804071247, (10.0, 11.0): 0.00725190839695, (13.0, 8.0): 0.00763358778626, (10.0, 6.0): 0.00763358778626, (15.0, 22.0): 0.00636132315522, (12.0, 5.0): 0.00763358778626, (17.0, 3.0): 0.00788804071247, (15.0, 8.0): 0.00763358778626, (21.0, 16.0): 0.00636132315522, (18.0, 8.0): 0.00725190839695, (15.0, 5.0): 0.00763358778626, (18.0, 23.0): 0.00699745547074, (16.0, 15.0): 0.0089058524173, (12.0, 10.0): 0.00801526717557, (15.0, 15.0): 0.00636132315522, (13.0, 11.0): 0.00725190839695, (18.0, 13.0): 0.00763358778626, (18.0, 24.0): 0.00763358778626, (8.0, 11.0): 0.00636132315522, (9.0, 10.0): 0.00839694656489, (19.0, 20.0): 0.00699745547074, (17.0, 4.0): 0.00839694656489, (14.0, 11.0): 0.00725190839695, (18.0, 3.0): 0.00636132315522, (17.0, 9.0): 0.00801526717557, (18.0, 14.0): 0.00699745547074, (8.0, 8.0): 0.00725190839695, (9.0, 5.0): 0.00801526717557, (11.0, 6.0): 0.00763358778626, }, ]
+3 Stop [{(16.0, 6.0): 0.00770992366412, (11.0, 11.0): 0.00704198473282, (17.0, 7.0): 0.00814885496183, (16.0, 9.0): 0.00778625954198, (14.0, 4.0): 0.00814885496183, (13.0, 4.0): 0.00814885496183, (20.0, 20.0): 0.00848176420696, (18.0, 4.0): 0.00758481764207, (18.0, 19.0): 0.00689143341815, (8.0, 5.0): 0.0072010178117, (10.0, 8.0): 0.00770992366412, (11.0, 5.0): 0.00770992366412, (10.0, 7.0): 0.00770992366412, (16.0, 3.0): 0.0072010178117, (12.0, 6.0): 0.00763358778626, (16.0, 22.0): 0.00848176420696, (13.0, 7.0): 0.00763358778626, (18.0, 9.0): 0.00704198473282, (15.0, 4.0): 0.00814885496183, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00614927905004, (9.0, 3.0): 0.00758481764207, (19.0, 24.0): 0.00805767599661, (12.0, 11.0): 0.00704198473282, (13.0, 10.0): 0.00814885496183, (18.0, 10.0): 0.0073727735369, (17.0, 18.0): 0.00768659881255, (9.0, 9.0): 0.00822519083969, (16.0, 18.0): 0.00848176420696, (11.0, 8.0): 0.00763358778626, (14.0, 8.0): 0.00763358778626, (21.0, 24.0): 0.00614927905004, (20.0, 16.0): 0.00848176420696, (17.0, 8.0): 0.00814885496183, (18.0, 15.0): 0.00911789652248, (8.0, 9.0): 0.0072010178117, (9.0, 4.0): 0.00882951653944, (10.0, 3.0): 0.0072010178117, (16.0, 7.0): 0.00770992366412, (11.0, 10.0): 0.00814885496183, (17.0, 6.0): 0.00814885496183, (16.0, 10.0): 0.00822519083969, (14.0, 5.0): 0.00770992366412, (13.0, 3.0): 0.00704198473282, (18.0, 5.0): 0.0072010178117, (17.0, 11.0): 0.0073727735369, (18.0, 16.0): 0.0089058524173, (8.0, 6.0): 0.00704198473282, (10.0, 9.0): 0.00778625954198, (9.0, 7.0): 0.00814885496183, (11.0, 4.0): 0.00814885496183, (10.0, 4.0): 0.00822519083969, (16.0, 4.0): 0.00822519083969, (12.0, 7.0): 0.00763358778626, (11.0, 9.0): 0.00770992366412, (15.0, 10.0): 0.00814885496183, (14.0, 6.0): 0.00763358778626, (13.0, 6.0): 0.00763358778626, (18.0, 6.0): 0.00704198473282, (17.0, 22.0): 0.00768659881255, (15.0, 7.0): 0.00763358778626, (18.0, 21.0): 0.00689143341815, (8.0, 3.0): 0.00606446140797, (10.0, 10.0): 0.00822519083969, (11.0, 3.0): 0.00704198473282, (12.0, 4.0): 0.00814885496183, (15.0, 9.0): 0.00770992366412, (14.0, 3.0): 0.00704198473282, (13.0, 9.0): 0.00770992366412, (12.0, 8.0): 0.00763358778626, (18.0, 11.0): 0.00802586938083, (18.0, 22.0): 0.00917090754877, (9.0, 8.0): 0.00814885496183, (14.0, 9.0): 0.00770992366412, (12.0, 9.0): 0.00770992366412, (17.0, 15.0): 0.00752756573367, (21.0, 20.0): 0.00614927905004, (18.0, 12.0): 0.00694444444444, (15.0, 11.0): 0.00704198473282, (8.0, 10.0): 0.00758481764207, (9.0, 11.0): 0.00758481764207, (12.0, 3.0): 0.00704198473282, (17.0, 5.0): 0.00822519083969, (16.0, 11.0): 0.00704198473282, (14.0, 10.0): 0.00814885496183, (17.0, 10.0): 0.00851145038168, (15.0, 3.0): 0.00704198473282, (18.0, 17.0): 0.00673240033927, (8.0, 7.0): 0.00704198473282, (9.0, 6.0): 0.00814885496183, (11.0, 7.0): 0.00763358778626, (10.0, 5.0): 0.00778625954198, (16.0, 5.0): 0.00778625954198, (20.0, 24.0): 0.00869380831213, (19.0, 16.0): 0.00752756573367, (16.0, 8.0): 0.00770992366412, (14.0, 7.0): 0.00763358778626, (13.0, 5.0): 0.00770992366412, (18.0, 20.0): 0.0089588634436, (18.0, 7.0): 0.00704198473282, (15.0, 6.0): 0.00763358778626, (18.0, 18.0): 0.0089588634436, (8.0, 4.0): 0.00758481764207, (10.0, 11.0): 0.0072010178117, (13.0, 8.0): 0.00763358778626, (10.0, 6.0): 0.00770992366412, (15.0, 22.0): 0.00614927905004, (12.0, 5.0): 0.00770992366412, (17.0, 3.0): 0.00758481764207, (15.0, 8.0): 0.00763358778626, (21.0, 16.0): 0.00614927905004, (18.0, 8.0): 0.00704198473282, (15.0, 5.0): 0.00770992366412, (18.0, 23.0): 0.00726251060221, (16.0, 15.0): 0.00848176420696, (12.0, 10.0): 0.00814885496183, (15.0, 15.0): 0.00614927905004, (13.0, 11.0): 0.00704198473282, (18.0, 13.0): 0.00720949957591, (18.0, 24.0): 0.00742154368109, (8.0, 11.0): 0.00606446140797, (9.0, 10.0): 0.00882951653944, (19.0, 20.0): 0.00768659881255, (17.0, 4.0): 0.00882951653944, (14.0, 11.0): 0.00704198473282, (18.0, 3.0): 0.00606446140797, (17.0, 9.0): 0.00822519083969, (18.0, 14.0): 0.00710347752332, (8.0, 8.0): 0.00704198473282, (9.0, 5.0): 0.00822519083969, (11.0, 6.0): 0.00763358778626, }, ]
+4 Stop [{(16.0, 6.0): 0.00779770992366, (11.0, 11.0): 0.0069510178117, (17.0, 7.0): 0.00819179389313, (16.0, 9.0): 0.00793129770992, (14.0, 4.0): 0.00819179389313, (13.0, 4.0): 0.00819179389313, (20.0, 20.0): 0.00846409386486, (18.0, 4.0): 0.00748384930732, (18.0, 19.0): 0.00677657619452, (8.0, 5.0): 0.00710199321459, (10.0, 8.0): 0.00779770992366, (11.0, 5.0): 0.00779770992366, (10.0, 7.0): 0.00778244274809, (16.0, 3.0): 0.00710199321459, (12.0, 6.0): 0.00764885496183, (16.0, 22.0): 0.00846409386486, (13.0, 7.0): 0.00763358778626, (18.0, 9.0): 0.00700922391858, (15.0, 4.0): 0.0082070610687, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00590189426067, (9.0, 3.0): 0.00748384930732, (19.0, 24.0): 0.00805767599661, (12.0, 11.0): 0.00691125954198, (13.0, 10.0): 0.00819179389313, (18.0, 10.0): 0.00731244698897, (17.0, 18.0): 0.00762917020074, (9.0, 9.0): 0.00839821882952, (16.0, 18.0): 0.00846409386486, (11.0, 8.0): 0.0076641221374, (14.0, 8.0): 0.00764885496183, (21.0, 24.0): 0.00597257562906, (20.0, 16.0): 0.00841108283856, (17.0, 8.0): 0.0082070610687, (18.0, 15.0): 0.00938295165394, (8.0, 9.0): 0.00710199321459, (9.0, 4.0): 0.0088483884648, (10.0, 3.0): 0.00710199321459, (16.0, 7.0): 0.00778244274809, (11.0, 10.0): 0.0082070610687, (17.0, 6.0): 0.0082070610687, (16.0, 10.0): 0.00829484732824, (14.0, 5.0): 0.00778244274809, (13.0, 3.0): 0.00691125954198, (18.0, 5.0): 0.00710199321459, (17.0, 11.0): 0.00731244698897, (18.0, 16.0): 0.00925925925926, (8.0, 6.0): 0.0069510178117, (10.0, 9.0): 0.00793129770992, (9.0, 7.0): 0.00819179389313, (11.0, 4.0): 0.0082070610687, (10.0, 4.0): 0.00839821882952, (16.0, 4.0): 0.00839821882952, (12.0, 7.0): 0.00763358778626, (11.0, 9.0): 0.00779770992366, (15.0, 10.0): 0.0082070610687, (14.0, 6.0): 0.00764885496183, (13.0, 6.0): 0.00764885496183, (18.0, 6.0): 0.0069510178117, (17.0, 22.0): 0.00768218122703, (15.0, 7.0): 0.00764885496183, (18.0, 21.0): 0.00682958722081, (8.0, 3.0): 0.00581389595703, (10.0, 10.0): 0.00839821882952, (11.0, 3.0): 0.0069510178117, (12.0, 4.0): 0.00819179389313, (15.0, 9.0): 0.00779770992366, (14.0, 3.0): 0.00691125954198, (13.0, 9.0): 0.00778244274809, (12.0, 8.0): 0.00764885496183, (18.0, 11.0): 0.00800766892847, (18.0, 22.0): 0.0095729078315, (9.0, 8.0): 0.0082070610687, (14.0, 9.0): 0.00778244274809, (12.0, 9.0): 0.00778244274809, (17.0, 15.0): 0.00761591744416, (21.0, 20.0): 0.00590189426067, (18.0, 12.0): 0.00672444868533, (15.0, 11.0): 0.00691125954198, (8.0, 10.0): 0.00748384930732, (9.0, 11.0): 0.00748384930732, (12.0, 3.0): 0.00691125954198, (17.0, 5.0): 0.00839821882952, (16.0, 11.0): 0.00700922391858, (14.0, 10.0): 0.00819179389313, (17.0, 10.0): 0.00867875318066, (15.0, 3.0): 0.0069510178117, (18.0, 17.0): 0.00671031241165, (8.0, 7.0): 0.00691125954198, (9.0, 6.0): 0.0082070610687, (11.0, 7.0): 0.00764885496183, (10.0, 5.0): 0.00793129770992, (16.0, 5.0): 0.00793129770992, (20.0, 24.0): 0.00865846762793, (19.0, 16.0): 0.00756290641787, (16.0, 8.0): 0.00779770992366, (14.0, 7.0): 0.00763358778626, (13.0, 5.0): 0.00778244274809, (18.0, 20.0): 0.00939620441052, (18.0, 7.0): 0.00691125954198, (15.0, 6.0): 0.0076641221374, (18.0, 18.0): 0.00934319338422, (8.0, 4.0): 0.00748384930732, (10.0, 11.0): 0.00710199321459, (13.0, 8.0): 0.00764885496183, (10.0, 6.0): 0.00779770992366, (15.0, 22.0): 0.00590189426067, (12.0, 5.0): 0.00778244274809, (17.0, 3.0): 0.00748384930732, (15.0, 8.0): 0.0076641221374, (21.0, 16.0): 0.00590189426067, (18.0, 8.0): 0.00691125954198, (15.0, 5.0): 0.00779770992366, (18.0, 23.0): 0.00718741164829, (16.0, 15.0): 0.00841108283856, (12.0, 10.0): 0.00819179389313, (15.0, 15.0): 0.00590189426067, (13.0, 11.0): 0.00691125954198, (18.0, 13.0): 0.00708580718123, (18.0, 24.0): 0.00758057675997, (8.0, 11.0): 0.00581389595703, (9.0, 10.0): 0.0088483884648, (19.0, 20.0): 0.00762917020074, (17.0, 4.0): 0.0088483884648, (14.0, 11.0): 0.00691125954198, (18.0, 3.0): 0.00581389595703, (17.0, 9.0): 0.00829484732824, (18.0, 14.0): 0.00705046649703, (8.0, 8.0): 0.0069510178117, (9.0, 5.0): 0.00839821882952, (11.0, 6.0): 0.0076641221374, }, ]
+5 Stop [{(16.0, 6.0): 0.00787652671756, (11.0, 11.0): 0.00688247985581, (17.0, 7.0): 0.00820548664122, (16.0, 9.0): 0.00802328244275, (14.0, 4.0): 0.00820243320611, (13.0, 4.0): 0.00819937977099, (20.0, 20.0): 0.00831536848553, (18.0, 4.0): 0.00735410364245, (18.0, 19.0): 0.00694370818019, (8.0, 5.0): 0.00706385884931, (10.0, 8.0): 0.00787652671756, (11.0, 5.0): 0.00787652671756, (10.0, 7.0): 0.00784370229008, (16.0, 3.0): 0.00706385884931, (12.0, 6.0): 0.00767557251908, (16.0, 22.0): 0.00833303882763, (13.0, 7.0): 0.00763969465649, (18.0, 9.0): 0.00696720207803, (15.0, 4.0): 0.00825671119593, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00577231175196, (9.0, 3.0): 0.00735410364245, (19.0, 24.0): 0.00809890679484, (12.0, 11.0): 0.00683174300254, (13.0, 10.0): 0.00819937977099, (18.0, 10.0): 0.00731808559514, (17.0, 18.0): 0.00770021970125, (9.0, 9.0): 0.00845249151824, (16.0, 18.0): 0.00831536848553, (11.0, 8.0): 0.00771145038168, (14.0, 8.0): 0.00767557251908, (21.0, 24.0): 0.00587244369051, (20.0, 16.0): 0.00827561021581, (17.0, 8.0): 0.00822609732824, (18.0, 15.0): 0.00954934737537, (8.0, 9.0): 0.00706385884931, (9.0, 4.0): 0.00887088987843, (10.0, 3.0): 0.00706385884931, (16.0, 7.0): 0.00784370229008, (11.0, 10.0): 0.00825671119593, (17.0, 6.0): 0.00825671119593, (16.0, 10.0): 0.00837469783715, (14.0, 5.0): 0.00784064885496, (13.0, 3.0): 0.00682180343511, (18.0, 5.0): 0.00706385884931, (17.0, 11.0): 0.00731808559514, (18.0, 16.0): 0.00941829233814, (8.0, 6.0): 0.00688247985581, (10.0, 9.0): 0.00806463104326, (9.0, 7.0): 0.00820548664122, (11.0, 4.0): 0.00825671119593, (10.0, 4.0): 0.00845249151824, (16.0, 4.0): 0.00845249151824, (12.0, 7.0): 0.0076427480916, (11.0, 9.0): 0.00787652671756, (15.0, 10.0): 0.00822609732824, (14.0, 6.0): 0.00767557251908, (13.0, 6.0): 0.00767251908397, (18.0, 6.0): 0.00688247985581, (17.0, 22.0): 0.00777531865517, (15.0, 7.0): 0.0076786259542, (18.0, 21.0): 0.00701880713411, (8.0, 3.0): 0.00567988997267, (10.0, 10.0): 0.00845249151824, (11.0, 3.0): 0.00688247985581, (12.0, 4.0): 0.00820243320611, (15.0, 9.0): 0.00787652671756, (14.0, 3.0): 0.00683174300254, (13.0, 9.0): 0.00783759541985, (12.0, 8.0): 0.00767557251908, (18.0, 11.0): 0.00789962362171, (18.0, 22.0): 0.00962628698992, (9.0, 8.0): 0.00825671119593, (14.0, 9.0): 0.00784064885496, (12.0, 9.0): 0.00784064885496, (17.0, 15.0): 0.00768807134106, (21.0, 20.0): 0.00577231175196, (18.0, 12.0): 0.0066053358543, (15.0, 11.0): 0.00684934796438, (8.0, 10.0): 0.00735410364245, (9.0, 11.0): 0.00735410364245, (12.0, 3.0): 0.00683174300254, (17.0, 5.0): 0.00845249151824, (16.0, 11.0): 0.00696720207803, (14.0, 10.0): 0.00820243320611, (17.0, 10.0): 0.00870991306192, (15.0, 3.0): 0.00688247985581, (18.0, 17.0): 0.00688738396475, (8.0, 7.0): 0.00684168256997, (9.0, 6.0): 0.00825671119593, (11.0, 7.0): 0.0076786259542, (10.0, 5.0): 0.00806463104326, (16.0, 5.0): 0.00806463104326, (20.0, 24.0): 0.00855833568938, (19.0, 16.0): 0.00763947790029, (16.0, 8.0): 0.00787652671756, (14.0, 7.0): 0.0076427480916, (13.0, 5.0): 0.00783759541985, (18.0, 20.0): 0.00942749564132, (18.0, 7.0): 0.00683174300254, (15.0, 6.0): 0.00771145038168, (18.0, 18.0): 0.00937448461502, (8.0, 4.0): 0.00735410364245, (10.0, 11.0): 0.00706385884931, (13.0, 8.0): 0.00767251908397, (10.0, 6.0): 0.00787652671756, (15.0, 22.0): 0.00577231175196, (12.0, 5.0): 0.00784064885496, (17.0, 3.0): 0.00735410364245, (15.0, 8.0): 0.00771145038168, (21.0, 16.0): 0.00575464140986, (18.0, 8.0): 0.00684934796438, (15.0, 5.0): 0.00787652671756, (18.0, 23.0): 0.00731588976063, (16.0, 15.0): 0.00829328055791, (12.0, 10.0): 0.00820243320611, (15.0, 15.0): 0.00575464140986, (13.0, 11.0): 0.00682180343511, (18.0, 13.0): 0.00695357412119, (18.0, 24.0): 0.00760855480162, (8.0, 11.0): 0.00567988997267, (9.0, 10.0): 0.00887088987843, (19.0, 20.0): 0.00771347245783, (17.0, 4.0): 0.00887088987843, (14.0, 11.0): 0.00682180343511, (18.0, 3.0): 0.00567988997267, (17.0, 9.0): 0.00837469783715, (18.0, 14.0): 0.00705782913957, (8.0, 8.0): 0.00688247985581, (9.0, 5.0): 0.00845249151824, (11.0, 6.0): 0.00771145038168, }, ]
+6 Stop [{(16.0, 6.0): 0.0079506043257, (11.0, 11.0): 0.0068458626661, (17.0, 7.0): 0.00821433524173, (16.0, 9.0): 0.00810514631043, (14.0, 4.0): 0.00820777035623, (13.0, 4.0): 0.00819381917939, (20.0, 20.0): 0.0082291028571, (18.0, 4.0): 0.00727196525618, (18.0, 19.0): 0.00701506445748, (8.0, 5.0): 0.00701560889054, (10.0, 8.0): 0.0079506043257, (11.0, 5.0): 0.00794999363868, (10.0, 7.0): 0.00789617366412, (16.0, 3.0): 0.00701560889054, (12.0, 6.0): 0.00770858778626, (16.0, 22.0): 0.00825560837024, (13.0, 7.0): 0.00765404580153, (18.0, 9.0): 0.00695859847682, (15.0, 4.0): 0.00827825249152, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00565794537116, (9.0, 3.0): 0.00727196525618, (19.0, 24.0): 0.00808859909528, (12.0, 11.0): 0.00677449321459, (13.0, 10.0): 0.00819381917939, (18.0, 10.0): 0.0072882104361, (17.0, 18.0): 0.00768215054935, (9.0, 9.0): 0.0084949094395, (16.0, 18.0): 0.00822468527157, (11.0, 8.0): 0.00776374045802, (14.0, 8.0): 0.00770858778626, (21.0, 24.0): 0.00578900040838, (20.0, 16.0): 0.00818235007696, (17.0, 8.0): 0.00824889869593, (18.0, 15.0): 0.00965721008859, (8.0, 9.0): 0.00701560889054, (9.0, 4.0): 0.0088322264042, (10.0, 3.0): 0.00701560889054, (16.0, 7.0): 0.00789617366412, (11.0, 10.0): 0.00827825249152, (17.0, 6.0): 0.00827886317854, (16.0, 10.0): 0.00840859865352, (14.0, 5.0): 0.00788655534351, (13.0, 3.0): 0.00676119831425, (18.0, 5.0): 0.00701560889054, (17.0, 11.0): 0.0072882104361, (18.0, 16.0): 0.00958419721672, (8.0, 6.0): 0.00684834755796, (10.0, 9.0): 0.00814453350297, (9.0, 7.0): 0.00822294290712, (11.0, 4.0): 0.00827825249152, (10.0, 4.0): 0.0084949094395, (16.0, 4.0): 0.0084949094395, (12.0, 7.0): 0.00766244274809, (11.0, 9.0): 0.00794999363868, (15.0, 10.0): 0.00824828800891, (14.0, 6.0): 0.00770858778626, (13.0, 6.0): 0.00770019083969, (18.0, 6.0): 0.0068458626661, (17.0, 22.0): 0.00777602424175, (15.0, 7.0): 0.00771759541985, (18.0, 21.0): 0.00710304803584, (8.0, 3.0): 0.00557034847878, (10.0, 10.0): 0.0084949094395, (11.0, 3.0): 0.0068458626661, (12.0, 4.0): 0.00820777035623, (15.0, 9.0): 0.00793560114504, (14.0, 3.0): 0.00677449321459, (13.0, 9.0): 0.00787815839695, (12.0, 8.0): 0.00770858778626, (18.0, 11.0): 0.0078357273211, (18.0, 22.0): 0.00977657693078, (9.0, 8.0): 0.00827886317854, (14.0, 9.0): 0.00788655534351, (12.0, 9.0): 0.00788655534351, (17.0, 15.0): 0.0077144541435, (21.0, 20.0): 0.00565794537116, (18.0, 12.0): 0.00649454256393, (15.0, 11.0): 0.00680480783503, (8.0, 10.0): 0.00727196525618, (9.0, 11.0): 0.00727196525618, (12.0, 3.0): 0.00677449321459, (17.0, 5.0): 0.0084949094395, (16.0, 11.0): 0.00695859847682, (14.0, 10.0): 0.00819916269084, (17.0, 10.0): 0.00875090454481, (15.0, 3.0): 0.0068458626661, (18.0, 17.0): 0.00699398889321, (8.0, 7.0): 0.00679275789864, (9.0, 6.0): 0.00827886317854, (11.0, 7.0): 0.00771759541985, (10.0, 5.0): 0.00814453350297, (16.0, 5.0): 0.00814453350297, (20.0, 24.0): 0.00848863600666, (19.0, 16.0): 0.00765960245657, (16.0, 8.0): 0.00793621183206, (14.0, 7.0): 0.00766244274809, (13.0, 5.0): 0.00787815839695, (18.0, 20.0): 0.0095822031677, (18.0, 7.0): 0.00678199003393, (15.0, 6.0): 0.00776374045802, (18.0, 18.0): 0.00952072510249, (8.0, 4.0): 0.00727196525618, (10.0, 11.0): 0.00701560889054, (13.0, 8.0): 0.00770019083969, (10.0, 6.0): 0.0079506043257, (15.0, 22.0): 0.00566383548519, (12.0, 5.0): 0.00788655534351, (17.0, 3.0): 0.00727196525618, (15.0, 8.0): 0.00776374045802, (21.0, 16.0): 0.00563585744353, (18.0, 8.0): 0.00680729272689, (15.0, 5.0): 0.00794999363868, (18.0, 23.0): 0.00738138660156, (16.0, 15.0): 0.00820443800459, (12.0, 10.0): 0.00820777035623, (15.0, 15.0): 0.00564174755757, (13.0, 11.0): 0.00675871342239, (18.0, 13.0): 0.00687224637169, (18.0, 24.0): 0.00767445045236, (8.0, 11.0): 0.00557034847878, (9.0, 10.0): 0.0088322264042, (19.0, 20.0): 0.00769982089145, (17.0, 4.0): 0.0088322264042, (14.0, 11.0): 0.00676372534987, (18.0, 3.0): 0.00557034847878, (17.0, 9.0): 0.00840859865352, (18.0, 14.0): 0.00705780459743, (8.0, 8.0): 0.00684834755796, (9.0, 5.0): 0.0084949094395, (11.0, 6.0): 0.00776374045802, }, ]
+7 Stop [{(16.0, 6.0): 0.00800678302587, (11.0, 11.0): 0.00681464169111, (17.0, 7.0): 0.00822315166455, (16.0, 9.0): 0.00815883131891, (14.0, 4.0): 0.00820690277778, (13.0, 4.0): 0.00818780323632, (20.0, 20.0): 0.00813861393509, (18.0, 4.0): 0.00719512164378, (18.0, 19.0): 0.00711408688671, (8.0, 5.0): 0.00698296231407, (10.0, 8.0): 0.00800678302587, (11.0, 5.0): 0.00800461508694, (10.0, 7.0): 0.0079475841285, (16.0, 3.0): 0.0069823410911, (12.0, 6.0): 0.00774430343511, (16.0, 22.0): 0.00817579527992, (13.0, 7.0): 0.00767586259542, (18.0, 9.0): 0.00694524514066, (15.0, 4.0): 0.00829765085171, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00557053444277, (9.0, 3.0): 0.00719512164378, (19.0, 24.0): 0.00808389518477, (12.0, 11.0): 0.00673632139702, (13.0, 10.0): 0.00818546048028, (18.0, 10.0): 0.00727081496747, (17.0, 18.0): 0.0076824598826, (9.0, 9.0): 0.00850400872768, (16.0, 18.0): 0.00813125129255, (11.0, 8.0): 0.0078181043257, (14.0, 8.0): 0.00774430343511, (21.0, 24.0): 0.00572404553974, (20.0, 16.0): 0.00809857956628, (17.0, 8.0): 0.00826343206637, (18.0, 15.0): 0.0097344380733, (8.0, 9.0): 0.00698296231407, (9.0, 4.0): 0.00880039168473, (10.0, 3.0): 0.0069823410911, (16.0, 7.0): 0.00794298409669, (11.0, 10.0): 0.00829765085171, (17.0, 6.0): 0.00829920810362, (16.0, 10.0): 0.00844223712274, (14.0, 5.0): 0.00792621310433, (13.0, 3.0): 0.00671631002173, (18.0, 5.0): 0.0069823410911, (17.0, 11.0): 0.00727081496747, (18.0, 16.0): 0.00969488227625, (8.0, 6.0): 0.00681995122249, (10.0, 9.0): 0.00820699006927, (9.0, 7.0): 0.00823355806033, (11.0, 4.0): 0.00829765085171, (10.0, 4.0): 0.00850388659027, (16.0, 4.0): 0.00850388659027, (12.0, 7.0): 0.0076902519084, (11.0, 9.0): 0.00800461508694, (15.0, 10.0): 0.00825953205842, (14.0, 6.0): 0.00774430343511, (13.0, 6.0): 0.00772991412214, (18.0, 6.0): 0.00681663803335, (17.0, 22.0): 0.00778802177003, (15.0, 7.0): 0.00776073854962, (18.0, 21.0): 0.00720737770324, (8.0, 3.0): 0.00549276545435, (10.0, 10.0): 0.00850388659027, (11.0, 3.0): 0.00681464169111, (12.0, 4.0): 0.00820690277778, (15.0, 9.0): 0.00798786625318, (14.0, 3.0): 0.00673694261998, (13.0, 9.0): 0.00790905582061, (12.0, 8.0): 0.00774430343511, (18.0, 11.0): 0.00776788456964, (18.0, 22.0): 0.00986429719241, (9.0, 8.0): 0.00830155085966, (14.0, 9.0): 0.00792161307252, (12.0, 9.0): 0.00792621310433, (17.0, 15.0): 0.00772059990484, (21.0, 20.0): 0.00557200697128, (18.0, 12.0): 0.00641452814215, (15.0, 11.0): 0.00678144051721, (8.0, 10.0): 0.00719512164378, (9.0, 11.0): 0.00719512164378, (12.0, 3.0): 0.00673694261998, (17.0, 5.0): 0.00850400872768, (16.0, 11.0): 0.00694462391769, (14.0, 10.0): 0.008196496382, (17.0, 10.0): 0.00875772558842, (15.0, 3.0): 0.00681464169111, (18.0, 17.0): 0.00710756021087, (8.0, 7.0): 0.00676695183507, (9.0, 6.0): 0.00830155085966, (11.0, 7.0): 0.00776073854962, (10.0, 5.0): 0.00820699006927, (16.0, 5.0): 0.00820699006927, (20.0, 24.0): 0.00842024523817, (19.0, 16.0): 0.00767670014869, (16.0, 8.0): 0.00799003419211, (14.0, 7.0): 0.0076902519084, (13.0, 5.0): 0.00790905582061, (18.0, 20.0): 0.00966819525352, (18.0, 7.0): 0.00675165340507, (15.0, 6.0): 0.0078181043257, (18.0, 18.0): 0.00961058257564, (8.0, 4.0): 0.00719512164378, (10.0, 11.0): 0.0069823410911, (13.0, 8.0): 0.00772991412214, (10.0, 6.0): 0.00800678302587, (15.0, 22.0): 0.00558378719934, (12.0, 5.0): 0.00792621310433, (17.0, 3.0): 0.00719512164378, (15.0, 8.0): 0.00781234732824, (21.0, 16.0): 0.00554537874742, (18.0, 8.0): 0.00678675004859, (15.0, 5.0): 0.00800461508694, (18.0, 23.0): 0.007462756584, (16.0, 15.0): 0.00812717116148, (12.0, 10.0): 0.00820690277778, (15.0, 15.0): 0.00555568644698, (13.0, 11.0): 0.00671299683259, (18.0, 13.0): 0.00680819784435, (18.0, 24.0): 0.00771481204973, (8.0, 11.0): 0.00549276545435, (9.0, 10.0): 0.00880039168473, (19.0, 20.0): 0.00770519204144, (17.0, 4.0): 0.00880039168473, (14.0, 11.0): 0.00672164418999, (18.0, 3.0): 0.00549276545435, (17.0, 9.0): 0.00844235926014, (18.0, 14.0): 0.00705765284519, (8.0, 8.0): 0.00681995122249, (9.0, 5.0): 0.00850400872768, (11.0, 6.0): 0.0078181043257, }, ]
+8 Stop [{(16.0, 6.0): 0.00805481392423, (11.0, 11.0): 0.00679285621515, (17.0, 7.0): 0.00823366853751, (16.0, 9.0): 0.00820426562942, (14.0, 4.0): 0.00820794964902, (13.0, 4.0): 0.00818121042793, (20.0, 20.0): 0.00806727214448, (18.0, 4.0): 0.00713536583878, (18.0, 19.0): 0.00719105675286, (8.0, 5.0): 0.00695031054062, (10.0, 8.0): 0.0080562024818, (11.0, 5.0): 0.00805071468759, (10.0, 7.0): 0.00799108935804, (16.0, 3.0): 0.00694880342455, (12.0, 6.0): 0.00778175737913, (16.0, 22.0): 0.00811316594965, (13.0, 7.0): 0.0077032389313, (18.0, 9.0): 0.00693917439121, (15.0, 4.0): 0.00830627148412, (1, 1): 0.00763358778626, (15.0, 18.0): 0.0054956843189, (9.0, 3.0): 0.00713536583878, (19.0, 24.0): 0.00807298415756, (12.0, 11.0): 0.00670737053574, (13.0, 10.0): 0.00817783230028, (18.0, 10.0): 0.00724753128712, (17.0, 18.0): 0.00767388270229, (9.0, 9.0): 0.00850832884678, (16.0, 18.0): 0.00805650427977, (11.0, 8.0): 0.00786690888465, (14.0, 8.0): 0.00777968597328, (21.0, 24.0): 0.0056687711826, (20.0, 16.0): 0.00803111594537, (17.0, 8.0): 0.00828048294878, (18.0, 15.0): 0.0097834143374, (8.0, 9.0): 0.00695031054062, (9.0, 4.0): 0.00875921822243, (10.0, 3.0): 0.00694880342455, (16.0, 7.0): 0.00798473830577, (11.0, 10.0): 0.00830627148412, (17.0, 6.0): 0.00831078981268, (16.0, 10.0): 0.00845982119712, (14.0, 5.0): 0.00795821804495, (13.0, 3.0): 0.00668510946269, (18.0, 5.0): 0.00694932693759, (17.0, 11.0): 0.00724737598138, (18.0, 16.0): 0.00978541687391, (8.0, 6.0): 0.00680277651484, (10.0, 9.0): 0.0082452567, (9.0, 7.0): 0.0082485867404, (11.0, 4.0): 0.00830627148412, (10.0, 4.0): 0.00850736911197, (16.0, 4.0): 0.00850736911197, (12.0, 7.0): 0.00772309198473, (11.0, 9.0): 0.00805071468759, (15.0, 10.0): 0.00827258649257, (14.0, 6.0): 0.00778175737913, (13.0, 6.0): 0.00776068788168, (18.0, 6.0): 0.00679749975311, (17.0, 22.0): 0.00778734664809, (15.0, 7.0): 0.00780488524173, (18.0, 21.0): 0.00728558234589, (8.0, 3.0): 0.00542848264001, (10.0, 10.0): 0.00850736911197, (11.0, 3.0): 0.00679301152089, (12.0, 4.0): 0.00820794964902, (15.0, 9.0): 0.00802803800626, (14.0, 3.0): 0.00670835413876, (13.0, 9.0): 0.00793445131997, (12.0, 8.0): 0.00778175737913, (18.0, 11.0): 0.00771555467352, (18.0, 22.0): 0.00995212631719, (9.0, 8.0): 0.00831416794033, (14.0, 9.0): 0.00795186699268, (12.0, 9.0): 0.00795821804495, (17.0, 15.0): 0.00771619987377, (21.0, 20.0): 0.00549887479734, (18.0, 12.0): 0.00634954647124, (15.0, 11.0): 0.00676383356791, (8.0, 10.0): 0.00713552114452, (9.0, 11.0): 0.00713536583878, (12.0, 3.0): 0.00670835413876, (17.0, 5.0): 0.00850770498983, (16.0, 11.0): 0.00693766727514, (14.0, 10.0): 0.00819303144614, (17.0, 10.0): 0.00876387187799, (15.0, 3.0): 0.00679301152089, (18.0, 17.0): 0.00719555294993, (8.0, 7.0): 0.00674842518208, (9.0, 6.0): 0.00831416794033, (11.0, 7.0): 0.00780695664758, (10.0, 5.0): 0.0082452567, (16.0, 5.0): 0.0082452567, (20.0, 24.0): 0.00836340291085, (19.0, 16.0): 0.00768214714072, (16.0, 8.0): 0.00803352580047, (14.0, 7.0): 0.00772309198473, (13.0, 5.0): 0.00793583987754, (18.0, 20.0): 0.00975926769051, (18.0, 7.0): 0.00673339070466, (15.0, 6.0): 0.00786690888465, (18.0, 18.0): 0.0097040146373, (8.0, 4.0): 0.00713552114452, (10.0, 11.0): 0.00694880342455, (13.0, 8.0): 0.00776068788168, (10.0, 6.0): 0.0080562024818, (15.0, 22.0): 0.00551715869298, (12.0, 5.0): 0.00795821804495, (17.0, 3.0): 0.00713536583878, (15.0, 8.0): 0.00785905795165, (21.0, 16.0): 0.0054722158958, (18.0, 8.0): 0.00677359856186, (15.0, 5.0): 0.00805071468759, (18.0, 23.0): 0.00752526384268, (16.0, 15.0): 0.00806043357893, (12.0, 10.0): 0.00820732579207, (15.0, 15.0): 0.00548690027732, (13.0, 11.0): 0.00667983270096, (18.0, 13.0): 0.00676012627723, (18.0, 24.0): 0.00775382127283, (8.0, 11.0): 0.00542848264001, (9.0, 10.0): 0.00875921822243, (19.0, 20.0): 0.00769831747222, (17.0, 4.0): 0.00875921822243, (14.0, 11.0): 0.00669331966135, (18.0, 3.0): 0.00542848264001, (17.0, 9.0): 0.00846078093193, (18.0, 14.0): 0.00705555974817, (8.0, 8.0): 0.00680277651484, (9.0, 5.0): 0.00850832884678, (11.0, 6.0): 0.00786690888465, }, ]
+9 Stop [{(16.0, 6.0): 0.00809250152547, (11.0, 11.0): 0.00677351184068, (17.0, 7.0): 0.00824528359711, (16.0, 9.0): 0.00823728631304, (14.0, 4.0): 0.0082078184559, (13.0, 4.0): 0.00817786728638, (20.0, 20.0): 0.00800463393757, (18.0, 4.0): 0.00708251105192, (18.0, 19.0): 0.00726283949957, (8.0, 5.0): 0.00692381781935, (10.0, 8.0): 0.00809472507296, (11.0, 5.0): 0.00808547396026, (10.0, 7.0): 0.00803180754192, (16.0, 3.0): 0.00692076901845, (12.0, 6.0): 0.00781813283503, (16.0, 22.0): 0.0080587502124, (13.0, 7.0): 0.00773415973282, (18.0, 9.0): 0.00693223224643, (15.0, 4.0): 0.00831271386676, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00543334358604, (9.0, 3.0): 0.00708238017366, (19.0, 24.0): 0.00806340278041, (12.0, 11.0): 0.00668648002137, (13.0, 10.0): 0.00817248634693, (18.0, 10.0): 0.00722833946356, (17.0, 18.0): 0.00766946598668, (9.0, 9.0): 0.00850297197706, (16.0, 18.0): 0.0079913044868, (11.0, 8.0): 0.00791250801615, (14.0, 8.0): 0.00781487815681, (21.0, 24.0): 0.00562218656158, (20.0, 16.0): 0.00797386230993, (17.0, 8.0): 0.0082950912842, (18.0, 15.0): 0.00981612767681, (8.0, 9.0): 0.00692381781935, (9.0, 4.0): 0.00872270498206, (10.0, 3.0): 0.00692076901845, (16.0, 7.0): 0.00802232636194, (11.0, 10.0): 0.00831255026894, (17.0, 6.0): 0.00832077039113, (16.0, 10.0): 0.00847452585821, (14.0, 5.0): 0.00798689592765, (13.0, 3.0): 0.00666169652064, (18.0, 5.0): 0.00692208913034, (17.0, 11.0): 0.00722792385811, (18.0, 16.0): 0.00985144116638, (8.0, 6.0): 0.00678821164745, (10.0, 9.0): 0.00827357436563, (9.0, 7.0): 0.00826070869134, (11.0, 4.0): 0.00831271386676, (10.0, 4.0): 0.00850082395984, (16.0, 4.0): 0.00850082395984, (12.0, 7.0): 0.00775936046438, (11.0, 9.0): 0.00808547396026, (15.0, 10.0): 0.00828165382039, (14.0, 6.0): 0.00781813283503, (13.0, 6.0): 0.00779265628976, (18.0, 6.0): 0.00678221231138, (17.0, 22.0): 0.00778820244521, (15.0, 7.0): 0.00784773647371, (18.0, 21.0): 0.00735637595056, (8.0, 3.0): 0.00537721595916, (10.0, 10.0): 0.00850082395984, (11.0, 3.0): 0.00677379656788, (12.0, 4.0): 0.0082078184559, (15.0, 9.0): 0.00806316301452, (14.0, 3.0): 0.00668820871039, (13.0, 9.0): 0.00795661130791, (12.0, 8.0): 0.00781813283503, (18.0, 11.0): 0.00766913097592, (18.0, 22.0): 0.0100207625249, (9.0, 8.0): 0.00832615133057, (14.0, 9.0): 0.00797741474767, (12.0, 9.0): 0.00798649344474, (17.0, 15.0): 0.00770473140191, (21.0, 20.0): 0.0054385281135, (18.0, 12.0): 0.00629877958454, (15.0, 11.0): 0.00675322242461, (8.0, 10.0): 0.00708279577911, (9.0, 11.0): 0.00708238017366, (12.0, 3.0): 0.00668820871039, (17.0, 5.0): 0.00850192567939, (16.0, 11.0): 0.00692918344553, (14.0, 10.0): 0.00819239336167, (17.0, 10.0): 0.00876062161854, (15.0, 3.0): 0.00677379656788, (18.0, 17.0): 0.00727087552778, (8.0, 7.0): 0.00673821190102, (9.0, 6.0): 0.00832615133057, (11.0, 7.0): 0.00785099115193, (10.0, 5.0): 0.00827357436563, (16.0, 5.0): 0.00827317188273, (20.0, 24.0): 0.00831318128077, (19.0, 16.0): 0.00768410858051, (16.0, 8.0): 0.00807241412722, (14.0, 7.0): 0.00775853190204, (13.0, 5.0): 0.00795883485541, (18.0, 20.0): 0.00983146911295, (18.0, 7.0): 0.00672285596241, (15.0, 6.0): 0.00791181602347, (18.0, 18.0): 0.00977950112769, (8.0, 4.0): 0.00708279577911, (10.0, 11.0): 0.00692073019202, (13.0, 8.0): 0.00779196429707, (10.0, 6.0): 0.00809472507296, (15.0, 22.0): 0.00546296799637, (12.0, 5.0): 0.00798689592765, (17.0, 3.0): 0.00708238017366, (15.0, 8.0): 0.00790103859468, (21.0, 16.0): 0.00541314659636, (18.0, 8.0): 0.00676763750419, (15.0, 5.0): 0.00808547396026, (18.0, 23.0): 0.00758105995114, (16.0, 15.0): 0.00800232795622, (12.0, 10.0): 0.00820677215822, (15.0, 15.0): 0.00543026133163, (13.0, 11.0): 0.00665569718457, (18.0, 13.0): 0.00672174416555, (18.0, 24.0): 0.00778402309102, (8.0, 11.0): 0.00537721595916, (9.0, 10.0): 0.00872270498206, (19.0, 20.0): 0.00769501346153, (17.0, 4.0): 0.00872254138424, (14.0, 11.0): 0.00667285277178, (18.0, 3.0): 0.00537717713273, (17.0, 9.0): 0.00847667387543, (18.0, 14.0): 0.00705108225948, (8.0, 8.0): 0.00678821164745, (9.0, 5.0): 0.00850297197706, (11.0, 6.0): 0.00791250801615, }, ]
+10 Stop [{(16.0, 6.0): 0.00812411723695, (11.0, 11.0): 0.00675769056731, (17.0, 7.0): 0.00825740831748, (16.0, 9.0): 0.00826481263768, (14.0, 4.0): 0.00820911128493, (13.0, 4.0): 0.00817589194088, (20.0, 20.0): 0.00795247985645, (18.0, 4.0): 0.00703805069999, (18.0, 19.0): 0.00732368906002, (8.0, 5.0): 0.00689930070689, (10.0, 8.0): 0.00812775326545, (11.0, 5.0): 0.00811423322729, (10.0, 7.0): 0.00806659150622, (16.0, 3.0): 0.00689440123196, (12.0, 6.0): 0.00785391070659, (16.0, 22.0): 0.00801380155073, (13.0, 7.0): 0.00776733453721, (18.0, 9.0): 0.00692738707863, (15.0, 4.0): 0.00831481519052, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00538043995529, (9.0, 3.0): 0.00703773361416, (19.0, 24.0): 0.0080535357174, (12.0, 11.0): 0.0066702766933, (13.0, 10.0): 0.00816957693109, (18.0, 10.0): 0.00720954999519, (17.0, 18.0): 0.00766513210642, (9.0, 9.0): 0.0084960349859, (16.0, 18.0): 0.00793692861751, (11.0, 8.0): 0.00795236620727, (14.0, 8.0): 0.00784876553965, (21.0, 24.0): 0.00558215370771, (20.0, 16.0): 0.00792589692832, (17.0, 8.0): 0.00830980195284, (18.0, 15.0): 0.0098354967646, (8.0, 9.0): 0.00689930070689, (9.0, 4.0): 0.00868659417198, (10.0, 3.0): 0.00689440123196, (16.0, 7.0): 0.00805605241709, (11.0, 10.0): 0.00831450202962, (17.0, 6.0): 0.00832764931646, (16.0, 10.0): 0.00848311338342, (14.0, 5.0): 0.00801143120685, (13.0, 3.0): 0.00664510194263, (18.0, 5.0): 0.00689708825928, (17.0, 11.0): 0.0072086838936, (18.0, 16.0): 0.00990188691356, (8.0, 6.0): 0.00677779060807, (10.0, 9.0): 0.00829151386715, (9.0, 7.0): 0.00827351675414, (11.0, 4.0): 0.00831481519052, (10.0, 4.0): 0.00849215568947, (16.0, 4.0): 0.00849204247333, (12.0, 7.0): 0.00779615540384, (11.0, 9.0): 0.00811412001115, (15.0, 10.0): 0.00829065281711, (14.0, 6.0): 0.00785360659559, (13.0, 6.0): 0.00782438330961, (18.0, 6.0): 0.00677094342926, (17.0, 22.0): 0.00778750818375, (15.0, 7.0): 0.00788828987117, (18.0, 21.0): 0.0074151832263, (8.0, 3.0): 0.00533369930791, (10.0, 10.0): 0.0084921132633, (11.0, 3.0): 0.00675823634753, (12.0, 4.0): 0.00820911128493, (15.0, 9.0): 0.00809211129806, (14.0, 3.0): 0.00667248914091, (13.0, 9.0): 0.00797699402887, (12.0, 8.0): 0.00785369181148, (18.0, 11.0): 0.00763094176924, (18.0, 22.0): 0.0100804034135, (9.0, 8.0): 0.00833396432625, (14.0, 9.0): 0.00800089211772, (12.0, 9.0): 0.00801069674123, (17.0, 15.0): 0.00768971837191, (21.0, 20.0): 0.00538747536927, (18.0, 12.0): 0.00625745732734, (15.0, 11.0): 0.00674514542456, (8.0, 10.0): 0.00703859971575, (9.0, 11.0): 0.00703772390755, (12.0, 3.0): 0.00667248914091, (17.0, 5.0): 0.00849420415008, (16.0, 11.0): 0.0069224876037, (14.0, 10.0): 0.00819300284828, (17.0, 10.0): 0.00875643010085, (15.0, 3.0): 0.00675823634753, (18.0, 17.0): 0.00733136074944, (8.0, 7.0): 0.00673080053725, (9.0, 6.0): 0.00833396432625, (11.0, 7.0): 0.00789343503811, (10.0, 5.0): 0.00829151386715, (16.0, 5.0): 0.00829077940154, (20.0, 24.0): 0.00826995463452, (19.0, 16.0): 0.00768218392174, (16.0, 8.0): 0.00810563133622, (14.0, 7.0): 0.00779468782008, (13.0, 5.0): 0.00798063005737, (18.0, 20.0): 0.00989594358212, (18.0, 7.0): 0.00671723316392, (15.0, 6.0): 0.00795113216359, (18.0, 18.0): 0.00984593561993, (8.0, 4.0): 0.00703859971575, (10.0, 11.0): 0.00689432034356, (13.0, 8.0): 0.00782314926593, (10.0, 6.0): 0.00812775326545, (15.0, 22.0): 0.00541773406899, (12.0, 5.0): 0.00801143120685, (17.0, 3.0): 0.00703768795245, (15.0, 8.0): 0.00793984607338, (21.0, 16.0): 0.00536452740149, (18.0, 8.0): 0.0067646996851, (15.0, 5.0): 0.00811401433217, (18.0, 23.0): 0.0076268849786, (16.0, 15.0): 0.00795081711853, (12.0, 10.0): 0.00820728044911, (15.0, 15.0): 0.00538257331789, (13.0, 11.0): 0.00663825476382, (18.0, 13.0): 0.00669053533652, (18.0, 24.0): 0.00780949527419, (8.0, 11.0): 0.00533369930791, (9.0, 10.0): 0.00868659417198, (19.0, 20.0): 0.00769108307794, (17.0, 4.0): 0.00868628101109, (14.0, 11.0): 0.00665892176757, (18.0, 3.0): 0.00533361518397, (17.0, 9.0): 0.00848699267985, (18.0, 14.0): 0.00704497406088, (8.0, 8.0): 0.00677779060807, (9.0, 5.0): 0.0084960349859, (11.0, 6.0): 0.00795236620727, }, ]
+11 Stop [{(16.0, 6.0): 0.00814994610712, (11.0, 11.0): 0.00674347230697, (17.0, 7.0): 0.00826949069175, (16.0, 9.0): 0.00828653226704, (14.0, 4.0): 0.00821037220986, (13.0, 4.0): 0.00817622439928, (20.0, 20.0): 0.00790825866276, (18.0, 4.0): 0.00699891267002, (18.0, 19.0): 0.00737669948719, (8.0, 5.0): 0.00687812975486, (10.0, 8.0): 0.00815443783447, (11.0, 5.0): 0.00813687193982, (10.0, 7.0): 0.00809780996587, (16.0, 3.0): 0.00687098987765, (12.0, 6.0): 0.00788764936683, (16.0, 22.0): 0.00797597027932, (13.0, 7.0): 0.00780114206733, (18.0, 9.0): 0.0069228077257, (15.0, 4.0): 0.00831555574307, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00533586285015, (9.0, 3.0): 0.00699825231523, (19.0, 24.0): 0.00804432854204, (12.0, 11.0): 0.00665801159593, (13.0, 10.0): 0.00816893454242, (18.0, 10.0): 0.00719325573094, (17.0, 18.0): 0.00766217081296, (9.0, 9.0): 0.00848644664698, (16.0, 18.0): 0.00789090688562, (11.0, 8.0): 0.00798827326669, (14.0, 8.0): 0.00788146816335, (21.0, 24.0): 0.0055477283987, (20.0, 16.0): 0.00788495731743, (17.0, 8.0): 0.00832314177855, (18.0, 15.0): 0.0098459100638, (8.0, 9.0): 0.00687812975486, (9.0, 4.0): 0.00865404030195, (10.0, 3.0): 0.00687102393631, (16.0, 7.0): 0.00808629983578, (11.0, 10.0): 0.00831502579246, (17.0, 6.0): 0.00833341166151, (16.0, 10.0): 0.00848962368874, (14.0, 5.0): 0.00803375869538, (13.0, 3.0): 0.00663269844429, (18.0, 5.0): 0.00687536142715, (17.0, 11.0): 0.00719181433681, (18.0, 16.0): 0.00993886080993, (8.0, 6.0): 0.0067687658283, (10.0, 9.0): 0.00830430707859, (9.0, 7.0): 0.00828430751688, (11.0, 4.0): 0.00831562216533, (10.0, 4.0): 0.00848061609182, (16.0, 4.0): 0.00848038392329, (12.0, 7.0): 0.00783290549945, (11.0, 9.0): 0.00813663977128, (15.0, 10.0): 0.00829806242551, (14.0, 6.0): 0.00788704821914, (13.0, 6.0): 0.00785597304127, (18.0, 6.0): 0.00676184607641, (17.0, 22.0): 0.0077872040982, (15.0, 7.0): 0.00792600166906, (18.0, 21.0): 0.00746581449101, (8.0, 3.0): 0.00529698310178, (10.0, 10.0): 0.0084805247523, (11.0, 3.0): 0.0067442447182, (12.0, 4.0): 0.00821037220986, (15.0, 9.0): 0.00811766298879, (14.0, 3.0): 0.00666077911475, (13.0, 9.0): 0.00799626181697, (12.0, 8.0): 0.00788721188595, (18.0, 11.0): 0.00759811302362, (18.0, 22.0): 0.0101299596496, (9.0, 8.0): 0.00834070151837, (14.0, 9.0): 0.00802235316651, (12.0, 9.0): 0.00803255660837, (17.0, 15.0): 0.0076723860213, (21.0, 20.0): 0.00534456430345, (18.0, 12.0): 0.00622373299693, (15.0, 11.0): 0.00673976926238, (8.0, 10.0): 0.00699969370936, (9.0, 11.0): 0.00699822966648, (12.0, 3.0): 0.00666077911475, (17.0, 5.0): 0.00848405484065, (16.0, 11.0): 0.00691570190715, (14.0, 10.0): 0.00819555538473, (17.0, 10.0): 0.00874986570502, (15.0, 3.0): 0.0067442447182, (18.0, 17.0): 0.00738074254985, (8.0, 7.0): 0.00672629878917, (9.0, 6.0): 0.00834070151837, (11.0, 7.0): 0.00793218287254, (10.0, 5.0): 0.00830433820705, (16.0, 5.0): 0.00830303151881, (20.0, 24.0): 0.0082322403045, (19.0, 16.0): 0.00767816534508, (16.0, 8.0): 0.00813522888344, (14.0, 7.0): 0.00783053687274, (13.0, 5.0): 0.00800075354431, (18.0, 20.0): 0.00995063768362, (18.0, 7.0): 0.00671470073306, (15.0, 6.0): 0.00798623203989, (18.0, 18.0): 0.00990154454361, (8.0, 4.0): 0.00699969370936, (10.0, 11.0): 0.00687085635726, (13.0, 8.0): 0.00785398703663, (10.0, 6.0): 0.00815443783447, (15.0, 22.0): 0.00538013421807, (12.0, 5.0): 0.00803386329661, (17.0, 3.0): 0.00699815022631, (15.0, 8.0): 0.0079749288237, (21.0, 16.0): 0.00532422934352, (18.0, 8.0): 0.00676429037248, (15.0, 5.0): 0.00813643445893, (18.0, 23.0): 0.00766556093764, (16.0, 15.0): 0.00790479848909, (12.0, 10.0): 0.00820798040354, (15.0, 15.0): 0.00534155903179, (13.0, 11.0): 0.00662577869239, (18.0, 13.0): 0.00666432224158, (18.0, 24.0): 0.00782997199006, (8.0, 11.0): 0.00529698067513, (9.0, 10.0): 0.00865402939006, (19.0, 20.0): 0.00768850687366, (17.0, 4.0): 0.00865344019001, (14.0, 11.0): 0.00664918105864, (18.0, 3.0): 0.0052968063911, (17.0, 9.0): 0.0084954542439, (18.0, 14.0): 0.00703737732362, (8.0, 8.0): 0.0067687658283, (9.0, 5.0): 0.00848644664698, (11.0, 6.0): 0.00798833968894, }, ]
+12 Stop [{(16.0, 6.0): 0.00817178423262, (11.0, 11.0): 0.00673109022353, (17.0, 7.0): 0.00828114397678, (16.0, 9.0): 0.00830490041438, (14.0, 4.0): 0.00821237698821, (13.0, 4.0): 0.00817771908373, (20.0, 20.0): 0.0078712039972, (18.0, 4.0): 0.00696485869266, (18.0, 19.0): 0.00742194538587, (8.0, 5.0): 0.00685893665253, (10.0, 8.0): 0.0081771059328, (11.0, 5.0): 0.00815580705955, (10.0, 7.0): 0.00812463520485, (16.0, 3.0): 0.0068494229902, (12.0, 6.0): 0.00791974617862, (16.0, 22.0): 0.00794445856821, (13.0, 7.0): 0.00783490890348, (18.0, 9.0): 0.00691917930606, (15.0, 4.0): 0.00831461044658, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00529823372028, (9.0, 3.0): 0.0069637881572, (19.0, 24.0): 0.0080355136122, (12.0, 11.0): 0.00664841172953, (13.0, 10.0): 0.00817019110263, (18.0, 10.0): 0.00717851726107, (17.0, 18.0): 0.00765974536876, (9.0, 9.0): 0.00847662936551, (16.0, 18.0): 0.00785229065793, (11.0, 8.0): 0.00801974912619, (14.0, 8.0): 0.00791265481259, (21.0, 24.0): 0.00551794430085, (20.0, 16.0): 0.00784982222593, (17.0, 8.0): 0.00833573571265, (18.0, 15.0): 0.00984944716674, (8.0, 9.0): 0.00685893665253, (9.0, 4.0): 0.0086237071143, (10.0, 3.0): 0.0068495034608, (16.0, 7.0): 0.00811339343743, (11.0, 10.0): 0.00831390222066, (17.0, 6.0): 0.00833784217931, (16.0, 10.0): 0.00849374229405, (14.0, 5.0): 0.00805367342553, (13.0, 3.0): 0.0066238090483, (18.0, 5.0): 0.00685584101153, (17.0, 11.0): 0.0071763804579, (18.0, 16.0): 0.00996582868341, (8.0, 6.0): 0.00676143889676, (10.0, 9.0): 0.00831247121672, (9.0, 7.0): 0.00829427880119, (11.0, 4.0): 0.00831475766092, (10.0, 4.0): 0.00846867933731, (16.0, 4.0): 0.00846822974445, (12.0, 7.0): 0.00786821833842, (11.0, 9.0): 0.00815536050348, (15.0, 10.0): 0.00830512321315, (14.0, 6.0): 0.00791870977369, (13.0, 6.0): 0.00788651324778, (18.0, 6.0): 0.00675465939146, (17.0, 22.0): 0.00778688137157, (15.0, 7.0): 0.00796079984823, (18.0, 21.0): 0.00750875416364, (8.0, 3.0): 0.00526514754008, (10.0, 10.0): 0.008468491492, (11.0, 3.0): 0.00673213637538, (12.0, 4.0): 0.0082124111929, (15.0, 9.0): 0.00813990793431, (14.0, 3.0): 0.00665150501128, (13.0, 9.0): 0.00801481863418, (12.0, 8.0): 0.00791898685942, (18.0, 11.0): 0.00757037343849, (18.0, 22.0): 0.0101720164214, (9.0, 8.0): 0.00834537016042, (14.0, 9.0): 0.00804266030407, (12.0, 9.0): 0.00805213009722, (17.0, 15.0): 0.00765387235275, (21.0, 20.0): 0.00530836837265, (18.0, 12.0): 0.00619554666874, (15.0, 11.0): 0.00673577554215, (8.0, 10.0): 0.00696592196911, (9.0, 11.0): 0.00696373760899, (12.0, 3.0): 0.00665150501128, (17.0, 5.0): 0.00847362799898, (16.0, 11.0): 0.00690974611433, (14.0, 10.0): 0.0081992763685, (17.0, 10.0): 0.00874325624447, (15.0, 3.0): 0.00673211457627, (18.0, 17.0): 0.007420348855, (8.0, 7.0): 0.00672281911482, (9.0, 6.0): 0.00834537016042, (11.0, 7.0): 0.0079679022587, (10.0, 5.0): 0.00831254214403, (16.0, 5.0): 0.00831077016976, (20.0, 24.0): 0.00819938714819, (19.0, 16.0): 0.00767242275665, (16.0, 8.0): 0.0081612263177, (14.0, 7.0): 0.00786523939833, (13.0, 5.0): 0.00802011459537, (18.0, 20.0): 0.00999799970486, (18.0, 7.0): 0.00671410743384, (15.0, 6.0): 0.00801713249883, (18.0, 18.0): 0.00994859041923, (8.0, 4.0): 0.00696592496037, (10.0, 11.0): 0.00684924453314, (13.0, 8.0): 0.00788401419405, (10.0, 6.0): 0.00817712544294, (15.0, 22.0): 0.00534872386881, (12.0, 5.0): 0.00805390207149, (17.0, 3.0): 0.00696357519436, (15.0, 8.0): 0.00800705810567, (21.0, 16.0): 0.00529043377757, (18.0, 8.0): 0.00676507806352, (15.0, 5.0): 0.00815500249122, (18.0, 23.0): 0.00769766755497, (16.0, 15.0): 0.00786317435269, (12.0, 10.0): 0.00820940236834, (15.0, 15.0): 0.00530571234559, (13.0, 11.0): 0.00661702974523, (18.0, 13.0): 0.00664181085404, (18.0, 24.0): 0.00784662048991, (8.0, 11.0): 0.005265141069, (9.0, 10.0): 0.00862368100183, (19.0, 20.0): 0.00768658126638, (17.0, 4.0): 0.00862284151487, (14.0, 11.0): 0.0066427933303, (18.0, 3.0): 0.00526486785445, (17.0, 9.0): 0.00850170073033, (18.0, 14.0): 0.00702871070435, (8.0, 8.0): 0.00676143889676, (9.0, 5.0): 0.00847663777358, (11.0, 6.0): 0.00801989634052, }, ]
+13 Stop [{(16.0, 6.0): 0.00819018450359, (11.0, 11.0): 0.00671996706568, (17.0, 7.0): 0.00829214991969, (16.0, 9.0): 0.00832029553816, (14.0, 4.0): 0.00821455224163, (13.0, 4.0): 0.00818047663412, (20.0, 20.0): 0.00784011260752, (18.0, 4.0): 0.0069346991805, (18.0, 19.0): 0.00746062932631, (8.0, 5.0): 0.00684190268213, (10.0, 8.0): 0.00819586632819, (11.0, 5.0): 0.0081713810553, (10.0, 7.0): 0.00814820952809, (16.0, 3.0): 0.0068299241391, (12.0, 6.0): 0.00794965523536, (16.0, 22.0): 0.00791814191433, (13.0, 7.0): 0.00786777881641, (18.0, 9.0): 0.00691603380373, (15.0, 4.0): 0.00831307257816, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00526654707945, (9.0, 3.0): 0.00693311350738, (19.0, 24.0): 0.0080271737501, (12.0, 11.0): 0.00664101339824, (13.0, 10.0): 0.00817299513104, (18.0, 10.0): 0.0071656687503, (17.0, 18.0): 0.00765782628037, (9.0, 9.0): 0.00846636451203, (16.0, 18.0): 0.00781979553571, (11.0, 8.0): 0.00804782093611, (14.0, 8.0): 0.00794232536294, (21.0, 24.0): 0.00549210119982, (20.0, 16.0): 0.00781929854965, (17.0, 8.0): 0.00834723086337, (18.0, 15.0): 0.0098480133149, (8.0, 9.0): 0.0068419002527, (9.0, 4.0): 0.00859623312443, (10.0, 3.0): 0.00683009286581, (16.0, 7.0): 0.00813766956256, (11.0, 10.0): 0.00831220387278, (17.0, 6.0): 0.0083415445254, (16.0, 10.0): 0.00849684096179, (14.0, 5.0): 0.0080719754548, (13.0, 3.0): 0.00661724858446, (18.0, 5.0): 0.00683856537371, (17.0, 11.0): 0.00716277625157, (18.0, 16.0): 0.00998474283309, (8.0, 6.0): 0.00675487269811, (10.0, 9.0): 0.0083180117021, (9.0, 7.0): 0.00830263564408, (11.0, 4.0): 0.00831336514398, (10.0, 4.0): 0.00845631311651, (16.0, 4.0): 0.00845564612268, (12.0, 7.0): 0.00790195250773, (11.0, 9.0): 0.00817072263285, (15.0, 10.0): 0.00831155384754, (14.0, 6.0): 0.00794825366883, (13.0, 6.0): 0.00791599853979, (18.0, 6.0): 0.00674872039507, (17.0, 22.0): 0.00778678408527, (15.0, 7.0): 0.0079927246577, (18.0, 21.0): 0.0075454220861, (8.0, 3.0): 0.00523747745942, (10.0, 10.0): 0.00845602031953, (11.0, 3.0): 0.00672123774405, (12.0, 4.0): 0.00821463425463, (15.0, 9.0): 0.00815992999432, (14.0, 3.0): 0.00664433255661, (13.0, 9.0): 0.00803276286643, (12.0, 8.0): 0.00794861972306, (18.0, 11.0): 0.00754650001228, (18.0, 22.0): 0.0102074384687, (9.0, 8.0): 0.00834903657617, (14.0, 9.0): 0.00806186361073, (12.0, 9.0): 0.00807013969253, (17.0, 15.0): 0.0076347106935, (21.0, 20.0): 0.00527791885206, (18.0, 12.0): 0.00617171253388, (15.0, 11.0): 0.00673310338932, (8.0, 10.0): 0.00693599787878, (9.0, 11.0): 0.0069330287589, (12.0, 3.0): 0.00664434484732, (17.0, 5.0): 0.00846297662547, (16.0, 11.0): 0.0069042239874, (14.0, 10.0): 0.00820414853024, (17.0, 10.0): 0.00873646428351, (15.0, 3.0): 0.00672118273375, (18.0, 17.0): 0.007452054394, (8.0, 7.0): 0.00672027998732, (9.0, 6.0): 0.00834904215982, (11.0, 7.0): 0.00800008025373, (10.0, 5.0): 0.00831815835148, (16.0, 5.0): 0.00831588292741, (20.0, 24.0): 0.00817060573722, (19.0, 16.0): 0.00766553883171, (16.0, 8.0): 0.00818446279757, (14.0, 7.0): 0.00789846254726, (13.0, 5.0): 0.00803838448478, (18.0, 20.0): 0.0100385935315, (18.0, 7.0): 0.00671469001756, (15.0, 6.0): 0.00804468576892, (18.0, 18.0): 0.00998782747469, (8.0, 4.0): 0.00693600600611, (10.0, 11.0): 0.00682971638981, (13.0, 8.0): 0.00791307668074, (10.0, 6.0): 0.00819591385855, (15.0, 22.0): 0.00532251479047, (12.0, 5.0): 0.00807239621959, (17.0, 3.0): 0.0069327738006, (15.0, 8.0): 0.0080363294037, (21.0, 16.0): 0.00526182429743, (18.0, 8.0): 0.00676673834338, (15.0, 5.0): 0.00817023780638, (18.0, 23.0): 0.00772443345363, (16.0, 15.0): 0.00782520507461, (12.0, 10.0): 0.00821122809015, (15.0, 15.0): 0.00527391429036, (13.0, 11.0): 0.00661109692179, (18.0, 13.0): 0.00662202274238, (18.0, 24.0): 0.00785993388569, (8.0, 11.0): 0.00523746191753, (9.0, 10.0): 0.00859617526639, (19.0, 20.0): 0.00768542834741, (17.0, 4.0): 0.00859504832342, (14.0, 11.0): 0.00663875492812, (18.0, 3.0): 0.00523706442324, (17.0, 9.0): 0.00850691344688, (18.0, 14.0): 0.00701920231115, (8.0, 8.0): 0.00675487269811, (9.0, 5.0): 0.0084663856016, (11.0, 6.0): 0.00804809545607, }, ]
+14 Stop [{(16.0, 6.0): 0.00820599345758, (11.0, 11.0): 0.00671011498799, (17.0, 7.0): 0.0083023914786, (16.0, 9.0): 0.00833368854774, (14.0, 4.0): 0.00821709852089, (13.0, 4.0): 0.00818392166915, (20.0, 20.0): 0.00781413974434, (18.0, 4.0): 0.00690801394432, (18.0, 19.0): 0.00749348169365, (8.0, 5.0): 0.00682647246691, (10.0, 8.0): 0.00821178901414, (11.0, 5.0): 0.00818467924528, (10.0, 7.0): 0.00816854112253, (16.0, 3.0): 0.0068120993929, (12.0, 6.0): 0.00797761959171, (16.0, 22.0): 0.00789623272844, (13.0, 7.0): 0.00789945381839, (18.0, 9.0): 0.00691349291373, (15.0, 4.0): 0.00831099743321, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00523987205163, (9.0, 3.0): 0.00690587403799, (19.0, 24.0): 0.00801923779101, (12.0, 11.0): 0.00663526496446, (13.0, 10.0): 0.00817700115402, (18.0, 10.0): 0.00715434349828, (17.0, 18.0): 0.0076561641407, (9.0, 9.0): 0.00845639267451, (16.0, 18.0): 0.00779248081175, (11.0, 8.0): 0.00807262197479, (14.0, 8.0): 0.00797041152107, (21.0, 24.0): 0.00546958584565, (20.0, 16.0): 0.00779252460917, (17.0, 8.0): 0.00835783599135, (18.0, 15.0): 0.00984282670521, (8.0, 9.0): 0.0068264656098, (9.0, 4.0): 0.00857106624688, (10.0, 3.0): 0.00681237365261, (16.0, 7.0): 0.00815943828822, (11.0, 10.0): 0.00831002674948, (17.0, 6.0): 0.0083445512136, (16.0, 10.0): 0.00849908692305, (14.0, 5.0): 0.00808868073129, (13.0, 3.0): 0.00661257682392, (18.0, 5.0): 0.00682309156241, (17.0, 11.0): 0.00715066791952, (18.0, 16.0): 0.0099973867789, (8.0, 6.0): 0.00674907227385, (10.0, 9.0): 0.00832139709894, (9.0, 7.0): 0.00830985477846, (11.0, 4.0): 0.0083114481501, (10.0, 4.0): 0.00844433716373, (16.0, 4.0): 0.00844341102511, (12.0, 7.0): 0.00793361730726, (11.0, 9.0): 0.00818377976728, (15.0, 10.0): 0.00831777051411, (14.0, 6.0): 0.00797587519592, (13.0, 6.0): 0.00794401414903, (18.0, 6.0): 0.00674380285166, (17.0, 22.0): 0.00778683495038, (15.0, 7.0): 0.00802197438803, (18.0, 21.0): 0.00757664869543, (8.0, 3.0): 0.00521310569818, (10.0, 10.0): 0.00844391132961, (11.0, 3.0): 0.00671159189309, (12.0, 4.0): 0.00821726066229, (15.0, 9.0): 0.00817799447889, (14.0, 3.0): 0.00663860141703, (13.0, 9.0): 0.00805016759629, (12.0, 8.0): 0.00797632190803, (18.0, 11.0): 0.00752597376483, (18.0, 22.0): 0.0102374061588, (9.0, 8.0): 0.00835149878662, (14.0, 9.0): 0.00808020607293, (12.0, 9.0): 0.008086694601, (17.0, 15.0): 0.00761530858476, (21.0, 20.0): 0.0052523302952, (18.0, 12.0): 0.00615120342849, (15.0, 11.0): 0.00673133134572, (8.0, 10.0): 0.00690953022532, (9.0, 11.0): 0.00690574197963, (12.0, 3.0): 0.00663863464489, (17.0, 5.0): 0.00845273182377, (16.0, 11.0): 0.00689939409943, (14.0, 10.0): 0.00820980095594, (17.0, 10.0): 0.0087301549889, (15.0, 3.0): 0.006711474373, (18.0, 17.0): 0.00747716070828, (8.0, 7.0): 0.0067180334747, (9.0, 6.0): 0.00835151362734, (11.0, 7.0): 0.00802923173635, (10.0, 5.0): 0.00832163039669, (16.0, 5.0): 0.00831898559711, (20.0, 24.0): 0.00814531042902, (19.0, 16.0): 0.00765779816873, (16.0, 8.0): 0.00820519763307, (14.0, 7.0): 0.00792990901063, (13.0, 5.0): 0.00805584626662, (18.0, 20.0): 0.0100734749695, (18.0, 7.0): 0.00671596717294, (15.0, 6.0): 0.00806921728108, (18.0, 18.0): 0.0100204602022, (8.0, 4.0): 0.00690954961675, (10.0, 11.0): 0.0068118821175, (13.0, 8.0): 0.00794091268992, (10.0, 6.0): 0.0082118838708, (15.0, 22.0): 0.00530063803335, (12.0, 5.0): 0.00808929024993, (17.0, 3.0): 0.00690537229069, (15.0, 8.0): 0.00806315444324, (21.0, 16.0): 0.0052373449986, (18.0, 8.0): 0.00676881171384, (15.0, 5.0): 0.00818317090713, (18.0, 23.0): 0.00774664873029, (16.0, 15.0): 0.00779026240122, (12.0, 10.0): 0.00821356670686, (15.0, 15.0): 0.00524535883672, (13.0, 11.0): 0.00660731533824, (18.0, 13.0): 0.00660431252914, (18.0, 24.0): 0.00787051369648, (8.0, 11.0): 0.00521307729859, (9.0, 10.0): 0.00857096867901, (19.0, 20.0): 0.00768482870119, (17.0, 4.0): 0.00856960245959, (14.0, 11.0): 0.00663656851586, (18.0, 3.0): 0.00521255638635, (17.0, 9.0): 0.00851118927732, (18.0, 14.0): 0.00700907834657, (8.0, 8.0): 0.00674907054977, (9.0, 5.0): 0.008456439518, (11.0, 6.0): 0.0080730251718, }, ]
+15 Stop [{(16.0, 6.0): 0.00821963716752, (11.0, 11.0): 0.00670132086738, (17.0, 7.0): 0.00831183518759, (16.0, 9.0): 0.00834543137201, (14.0, 4.0): 0.00821979002517, (13.0, 4.0): 0.00818796962977, (20.0, 20.0): 0.00779248796277, (18.0, 4.0): 0.00688421566405, (18.0, 19.0): 0.00752131102415, (8.0, 5.0): 0.00681256149298, (10.0, 8.0): 0.0082251695994, (11.0, 5.0): 0.00819601464276, (10.0, 7.0): 0.00818626010446, (16.0, 3.0): 0.00679591871917, (12.0, 6.0): 0.00800351329395, (16.0, 22.0): 0.00787800824295, (13.0, 7.0): 0.00792958139504, (18.0, 9.0): 0.00691139988693, (15.0, 4.0): 0.00830880417052, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00521742962973, (9.0, 3.0): 0.00688147707142, (19.0, 24.0): 0.0080116873055, (12.0, 11.0): 0.00663088716404, (13.0, 10.0): 0.00818193611718, (18.0, 10.0): 0.00714448354199, (17.0, 18.0): 0.00765466336804, (9.0, 9.0): 0.00844666785027, (16.0, 18.0): 0.0077694843433, (11.0, 8.0): 0.00809474888012, (14.0, 8.0): 0.00799691874756, (21.0, 24.0): 0.00544989639916, (20.0, 16.0): 0.00776878009193, (17.0, 8.0): 0.00836752580453, (18.0, 15.0): 0.00983484901481, (8.0, 9.0): 0.00681254513113, (9.0, 4.0): 0.00854822449941, (10.0, 3.0): 0.00679632732867, (16.0, 7.0): 0.0081789990491, (11.0, 10.0): 0.00830778565764, (17.0, 6.0): 0.00834708430762, (16.0, 10.0): 0.00850098871962, (14.0, 5.0): 0.00810413432437, (13.0, 3.0): 0.00660923755529, (18.0, 5.0): 0.00680927345435, (17.0, 11.0): 0.00714003994373, (18.0, 16.0): 0.0100050396634, (8.0, 6.0): 0.00674369727933, (10.0, 9.0): 0.0083234539769, (9.0, 7.0): 0.00831579003167, (11.0, 4.0): 0.00830944301755, (10.0, 4.0): 0.00843278980463, (16.0, 4.0): 0.00843162415123, (12.0, 7.0): 0.00796324887235, (11.0, 9.0): 0.0081949040383, (15.0, 10.0): 0.00832376341083, (14.0, 6.0): 0.00800153927359, (13.0, 6.0): 0.00797056180433, (18.0, 6.0): 0.00673962563947, (17.0, 22.0): 0.00778704076598, (15.0, 7.0): 0.00804873868224, (18.0, 21.0): 0.00760326984723, (8.0, 3.0): 0.00519155781308, (10.0, 10.0): 0.00843223130078, (11.0, 3.0): 0.00670293967767, (12.0, 4.0): 0.00822004280752, (15.0, 9.0): 0.00819456281138, (14.0, 3.0): 0.00663408285767, (13.0, 9.0): 0.00806699642283, (12.0, 8.0): 0.0080020336962, (18.0, 11.0): 0.00750814743849, (18.0, 22.0): 0.0102627289984, (9.0, 8.0): 0.00835317468819, (14.0, 9.0): 0.00809771612503, (12.0, 9.0): 0.00810210611589, (17.0, 15.0): 0.00759589700496, (21.0, 20.0): 0.00523087839571, (18.0, 12.0): 0.00613333209375, (15.0, 11.0): 0.00673037759307, (8.0, 10.0): 0.00688588512745, (9.0, 11.0): 0.00688129219295, (12.0, 3.0): 0.00663415297293, (17.0, 5.0): 0.00844294710942, (16.0, 11.0): 0.00689516572578, (14.0, 10.0): 0.00821609786836, (17.0, 10.0): 0.0087243390923, (15.0, 3.0): 0.00670274328237, (18.0, 17.0): 0.00749684864804, (8.0, 7.0): 0.00671601503027, (9.0, 6.0): 0.00835320642738, (11.0, 7.0): 0.00805540746255, (10.0, 5.0): 0.0083237940389, (16.0, 5.0): 0.00832085856214, (20.0, 24.0): 0.00812297566283, (19.0, 16.0): 0.00764945428736, (16.0, 8.0): 0.00822386298073, (14.0, 7.0): 0.00795952478681, (13.0, 5.0): 0.0080723506132, (18.0, 20.0): 0.0101033551058, (18.0, 7.0): 0.00671762373033, (15.0, 6.0): 0.00809124624595, (18.0, 18.0): 0.0100473838981, (8.0, 4.0): 0.00688592066968, (10.0, 11.0): 0.0067957170372, (13.0, 8.0): 0.00796745350674, (10.0, 6.0): 0.00822531883783, (15.0, 22.0): 0.00528239659282, (12.0, 5.0): 0.00810493920317, (17.0, 3.0): 0.00688080720827, (15.0, 8.0): 0.00808774649286, (21.0, 16.0): 0.00521618070235, (18.0, 8.0): 0.0067711351484, (15.0, 5.0): 0.00819421038996, (18.0, 23.0): 0.00776507234863, (16.0, 15.0): 0.00775786974702, (12.0, 10.0): 0.00821627408339, (15.0, 15.0): 0.0052194335521, (13.0, 11.0): 0.00660518743544, (18.0, 13.0): 0.0065881981014, (18.0, 24.0): 0.00787880007259, (8.0, 11.0): 0.0051915104841, (9.0, 10.0): 0.00854807258787, (19.0, 20.0): 0.00768469155754, (17.0, 4.0): 0.00854649562044, (14.0, 11.0): 0.00663576399114, (18.0, 3.0): 0.0051908653542, (17.0, 9.0): 0.00851494698949, (18.0, 14.0): 0.00699850363487, (8.0, 8.0): 0.00674369216589, (9.0, 5.0): 0.00844674807451, (11.0, 6.0): 0.00809528792319, }, ]
+16 Stop [{(16.0, 6.0): 0.00823156506646, (11.0, 11.0): 0.00669353839869, (17.0, 7.0): 0.00832049480235, (16.0, 9.0): 0.00835595857465, (14.0, 4.0): 0.00822266034438, (13.0, 4.0): 0.00819234000395, (20.0, 20.0): 0.00777449903796, (18.0, 4.0): 0.00686295985509, (18.0, 19.0): 0.00754478842569, (8.0, 5.0): 0.0067998944754, (10.0, 8.0): 0.00823656144981, (11.0, 5.0): 0.00820589576511, (10.0, 7.0): 0.00820158920718, (16.0, 3.0): 0.0067811921327, (12.0, 6.0): 0.0080275102194, (16.0, 22.0): 0.00786288129939, (13.0, 7.0): 0.00795807407305, (18.0, 9.0): 0.00690974404223, (15.0, 4.0): 0.00830657156797, (1, 1): 0.00763358778626, (15.0, 18.0): 0.0051985429293, (9.0, 3.0): 0.00685961527093, (19.0, 24.0): 0.00800448768031, (12.0, 11.0): 0.0066276036834, (13.0, 10.0): 0.00818755775721, (18.0, 10.0): 0.00713587553531, (17.0, 18.0): 0.00765322854497, (9.0, 9.0): 0.00843741010343, (16.0, 18.0): 0.00775009738531, (11.0, 8.0): 0.00811445273531, (14.0, 8.0): 0.0080218719318, (21.0, 24.0): 0.00543260675386, (20.0, 16.0): 0.00774750181094, (17.0, 8.0): 0.00837641797957, (18.0, 15.0): 0.00982477238282, (8.0, 9.0): 0.00679986417617, (9.0, 4.0): 0.00852740191099, (10.0, 3.0): 0.00678174398037, (16.0, 7.0): 0.00819661461343, (11.0, 10.0): 0.00830556923287, (17.0, 6.0): 0.0083492071643, (16.0, 10.0): 0.0085026959504, (14.0, 5.0): 0.00811840492526, (13.0, 3.0): 0.00660696227243, (18.0, 5.0): 0.00679686811135, (17.0, 11.0): 0.00713070609546, (18.0, 16.0): 0.0100087398147, (8.0, 6.0): 0.00673870973612, (10.0, 9.0): 0.00832448535313, (9.0, 7.0): 0.00832069000791, (11.0, 4.0): 0.00830739297391, (10.0, 4.0): 0.00842193210427, (16.0, 4.0): 0.00842053618066, (12.0, 7.0): 0.00799075694402, (11.0, 9.0): 0.00820459973377, (15.0, 10.0): 0.00832967696031, (14.0, 6.0): 0.00802540128701, (13.0, 6.0): 0.00799550927602, (18.0, 6.0): 0.00673604756756, (17.0, 22.0): 0.00778736525258, (15.0, 7.0): 0.00807325105139, (18.0, 21.0): 0.00762594430846, (8.0, 3.0): 0.0051723687063, (10.0, 10.0): 0.00842123796394, (11.0, 3.0): 0.00669524359833, (12.0, 4.0): 0.00822301717483, (15.0, 9.0): 0.00820984404242, (14.0, 3.0): 0.00663047392887, (13.0, 9.0): 0.00808324165753, (12.0, 8.0): 0.00802591821426, (18.0, 11.0): 0.0074926117623, (18.0, 22.0): 0.0102841432369, (9.0, 8.0): 0.00835408347538, (14.0, 9.0): 0.00811445839503, (12.0, 9.0): 0.00811646287132, (17.0, 15.0): 0.00757663450436, (21.0, 20.0): 0.00521293518545, (18.0, 12.0): 0.00611754692467, (15.0, 11.0): 0.00673007950966, (8.0, 10.0): 0.00686472557692, (9.0, 11.0): 0.00685937031981, (12.0, 3.0): 0.00663059111298, (17.0, 5.0): 0.00843379548351, (16.0, 11.0): 0.00689159355957, (14.0, 10.0): 0.00822284370207, (17.0, 10.0): 0.00871918583171, (15.0, 3.0): 0.00669494704891, (18.0, 17.0): 0.00751205543971, (8.0, 7.0): 0.00671400912521, (9.0, 6.0): 0.00835413699411, (11.0, 7.0): 0.00807899064853, (10.0, 5.0): 0.00832493307973, (16.0, 5.0): 0.00832185547605, (20.0, 24.0): 0.00810316918903, (19.0, 16.0): 0.0076406713756, (16.0, 8.0): 0.00824071313985, (14.0, 7.0): 0.00798726057705, (13.0, 5.0): 0.00808799111497, (18.0, 20.0): 0.0101289295861, (18.0, 7.0): 0.00671946316707, (15.0, 6.0): 0.00811107435185, (18.0, 18.0): 0.0100694536546, (8.0, 4.0): 0.00686478471157, (10.0, 11.0): 0.00678102878454, (13.0, 8.0): 0.00799259675368, (10.0, 6.0): 0.00823677346635, (15.0, 22.0): 0.00526720104406, (12.0, 5.0): 0.00811937211212, (17.0, 3.0): 0.00685876905735, (15.0, 8.0): 0.00811036594295, (21.0, 16.0): 0.00519768371515, (18.0, 8.0): 0.00677354485232, (15.0, 5.0): 0.00820385073859, (18.0, 23.0): 0.00778030639001, (16.0, 15.0): 0.00772763902671, (12.0, 10.0): 0.00821934218583, (15.0, 15.0): 0.00519567335839, (13.0, 11.0): 0.00660434687109, (18.0, 13.0): 0.00657334461001, (18.0, 24.0): 0.00788518657557, (8.0, 11.0): 0.0051722978248, (9.0, 10.0): 0.00852718867788, (19.0, 20.0): 0.00768489861655, (17.0, 4.0): 0.0085254690943, (14.0, 11.0): 0.00663605182859, (18.0, 3.0): 0.00517154416948, (17.0, 9.0): 0.0085182986234, (18.0, 14.0): 0.00698761283246, (8.0, 8.0): 0.00673869801946, (9.0, 5.0): 0.00843753498128, (11.0, 6.0): 0.00811510843205, }, ]
+17 Stop [{(16.0, 6.0): 0.00824206333442, (11.0, 11.0): 0.00668665656323, (17.0, 7.0): 0.0083284127037, (16.0, 9.0): 0.00836550206614, (14.0, 4.0): 0.00822561385053, (13.0, 4.0): 0.00819694229573, (20.0, 20.0): 0.00775960014423, (18.0, 4.0): 0.00684389886696, (18.0, 19.0): 0.0075645252854, (8.0, 5.0): 0.00678835422703, (10.0, 8.0): 0.00824623444416, (11.0, 5.0): 0.00821454047258, (10.0, 7.0): 0.00821492095596, (16.0, 3.0): 0.00676783429587, (12.0, 6.0): 0.00804965139672, (16.0, 22.0): 0.00785034937268, (13.0, 7.0): 0.00798483952476, (18.0, 9.0): 0.00690845083214, (15.0, 4.0): 0.00830446052855, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00518263725975, (9.0, 3.0): 0.00683994309712, (19.0, 24.0): 0.00799761448164, (12.0, 11.0): 0.00662524067546, (13.0, 10.0): 0.0081936837783, (18.0, 10.0): 0.0071283950013, (17.0, 18.0): 0.00765180539041, (9.0, 9.0): 0.00842859956601, (16.0, 18.0): 0.00773371344141, (11.0, 8.0): 0.00813210455634, (14.0, 8.0): 0.0080453107201, (21.0, 24.0): 0.00541735977327, (20.0, 16.0): 0.00772823291976, (17.0, 8.0): 0.00838457112211, (18.0, 15.0): 0.00981312716165, (8.0, 9.0): 0.00678830396382, (9.0, 4.0): 0.00850847379493, (10.0, 3.0): 0.00676853713326, (16.0, 7.0): 0.0082125277347, (11.0, 10.0): 0.00830353442295, (17.0, 6.0): 0.00835102439522, (16.0, 10.0): 0.00850440185331, (14.0, 5.0): 0.00813166168204, (13.0, 3.0): 0.00660547482936, (18.0, 5.0): 0.0067857279802, (17.0, 11.0): 0.00712256502067, (18.0, 16.0): 0.0100092869878, (8.0, 6.0): 0.006733980733, (10.0, 9.0): 0.00832485892082, (9.0, 7.0): 0.00832460221822, (11.0, 4.0): 0.00830545850321, (10.0, 4.0): 0.00841176800887, (16.0, 4.0): 0.00841018449697, (12.0, 7.0): 0.00801625001985, (11.0, 9.0): 0.00821311398528, (15.0, 10.0): 0.00833553200845, (14.0, 6.0): 0.00804753008344, (13.0, 6.0): 0.00801889719409, (18.0, 6.0): 0.00673293614436, (17.0, 22.0): 0.00778778465988, (15.0, 7.0): 0.00809571330734, (18.0, 21.0): 0.0076452496419, (8.0, 3.0): 0.00515522289773, (10.0, 10.0): 0.0084109534417, (11.0, 3.0): 0.0066883732677, (12.0, 4.0): 0.00822607223121, (15.0, 9.0): 0.00822406078307, (14.0, 3.0): 0.00662762788143, (13.0, 9.0): 0.00809886348696, (12.0, 8.0): 0.00804803750372, (18.0, 11.0): 0.00747898065649, (18.0, 22.0): 0.0103022411262, (9.0, 8.0): 0.00835442351217, (14.0, 9.0): 0.00813045194577, (12.0, 9.0): 0.00812991293254, (17.0, 15.0): 0.00755761760606, (21.0, 20.0): 0.00519796727204, (18.0, 12.0): 0.0061034501188, (15.0, 11.0): 0.00673036661652, (8.0, 10.0): 0.00684568444878, (9.0, 11.0): 0.0068396367866, (12.0, 3.0): 0.0066278026809, (17.0, 5.0): 0.00842528247147, (16.0, 11.0): 0.00688863398125, (14.0, 10.0): 0.00822992032007, (17.0, 10.0): 0.00871468148879, (15.0, 3.0): 0.00668796759121, (18.0, 17.0): 0.00752356684722, (8.0, 7.0): 0.00671199222178, (9.0, 6.0): 0.00835450452396, (11.0, 7.0): 0.00810017959342, (10.0, 5.0): 0.00832541387935, (16.0, 5.0): 0.00832232058905, (20.0, 24.0): 0.00808552233337, (19.0, 16.0): 0.00763157601585, (16.0, 8.0): 0.00825601405009, (14.0, 7.0): 0.00801317178406, (13.0, 5.0): 0.00810272348646, (18.0, 20.0): 0.0101507761801, (18.0, 7.0): 0.00672136285721, (15.0, 6.0): 0.00812902849906, (18.0, 18.0): 0.0100873875504, (8.0, 4.0): 0.00684577308104, (10.0, 11.0): 0.00676773196855, (13.0, 8.0): 0.00801634052606, (10.0, 6.0): 0.00824650823588, (15.0, 22.0): 0.00525456095516, (12.0, 5.0): 0.00813275727729, (17.0, 3.0): 0.00683893217286, (15.0, 8.0): 0.00813120922168, (21.0, 16.0): 0.00518134246122, (18.0, 8.0): 0.00677597161132, (15.0, 5.0): 0.00821235141194, (18.0, 23.0): 0.00779286679775, (16.0, 15.0): 0.00769926118955, (12.0, 10.0): 0.0082226873303, (15.0, 15.0): 0.00517371635476, (13.0, 11.0): 0.00660451214721, (18.0, 13.0): 0.00655950145571, (18.0, 24.0): 0.00788999354863, (8.0, 11.0): 0.00515512324912, (9.0, 10.0): 0.00850819132323, (19.0, 20.0): 0.00768536494803, (17.0, 4.0): 0.0085063923798, (14.0, 11.0): 0.00663718829275, (18.0, 3.0): 0.0051542802846, (17.0, 9.0): 0.00852140821242, (18.0, 14.0): 0.00697651224319, (8.0, 8.0): 0.00673395952529, (9.0, 5.0): 0.00842877501207, (11.0, 6.0): 0.00813285570629, }, ]
+18 Stop [{(16.0, 6.0): 0.00825139291049, (11.0, 11.0): 0.0066806141864, (17.0, 7.0): 0.00833564790545, (16.0, 9.0): 0.00837427739301, (14.0, 4.0): 0.00822864264173, (13.0, 4.0): 0.00820163908013, (20.0, 20.0): 0.00774730533344, (18.0, 4.0): 0.00682677861595, (18.0, 19.0): 0.0075810493611, (8.0, 5.0): 0.00677778201268, (10.0, 8.0): 0.00825450847789, (11.0, 5.0): 0.00822220516774, (10.0, 7.0): 0.00822648908953, (16.0, 3.0): 0.00675572041438, (12.0, 6.0): 0.00807008231885, (16.0, 22.0): 0.00783999182177, (13.0, 7.0): 0.00800989980977, (18.0, 9.0): 0.00690748600368, (15.0, 4.0): 0.0083025139554, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00516922311035, (9.0, 3.0): 0.00682222244916, (19.0, 24.0): 0.00799104345455, (12.0, 11.0): 0.00662363981253, (13.0, 10.0): 0.00820015901993, (18.0, 10.0): 0.00712189292024, (17.0, 18.0): 0.00765035316488, (9.0, 9.0): 0.0084202906554, (16.0, 18.0): 0.00771982490715, (11.0, 8.0): 0.00814793401658, (14.0, 8.0): 0.00806729683954, (21.0, 24.0): 0.00540385399776, (20.0, 16.0): 0.00771060754248, (17.0, 8.0): 0.00839207412049, (18.0, 15.0): 0.00980031348712, (8.0, 9.0): 0.00677770689767, (9.0, 4.0): 0.00849123240772, (10.0, 3.0): 0.00675656697629, (16.0, 7.0): 0.00822694622605, (11.0, 10.0): 0.00830172197685, (17.0, 6.0): 0.00835259061705, (16.0, 10.0): 0.00850618197865, (14.0, 5.0): 0.00814397610288, (13.0, 3.0): 0.00660461480707, (18.0, 5.0): 0.00677569724217, (17.0, 11.0): 0.00711548121236, (18.0, 16.0): 0.0100073178251, (8.0, 6.0): 0.00672948270025, (10.0, 9.0): 0.00832475207159, (9.0, 7.0): 0.00832768829751, (11.0, 4.0): 0.0083036611601, (10.0, 4.0): 0.00840235712059, (16.0, 4.0): 0.00840063017284, (12.0, 7.0): 0.00803979160769, (11.0, 9.0): 0.00822070496359, (15.0, 10.0): 0.00834137464711, (14.0, 6.0): 0.00806805784854, (13.0, 6.0): 0.0080407283371, (18.0, 6.0): 0.00673021162449, (17.0, 22.0): 0.00778827162575, (15.0, 7.0): 0.00811633010937, (18.0, 21.0): 0.00766167087388, (8.0, 3.0): 0.00513983667712, (10.0, 10.0): 0.00840144061388, (11.0, 3.0): 0.00668226997111, (12.0, 4.0): 0.00822919673171, (15.0, 9.0): 0.00823735120502, (14.0, 3.0): 0.0066253903456, (13.0, 9.0): 0.00811385053393, (12.0, 8.0): 0.0080685291077, (18.0, 11.0): 0.00746696854255, (18.0, 22.0): 0.0103175273147, (9.0, 8.0): 0.00835426182943, (14.0, 9.0): 0.00814572145119, (12.0, 9.0): 0.00814252304776, (17.0, 15.0): 0.00753890805562, (21.0, 20.0): 0.00518551701743, (18.0, 12.0): 0.00609072902229, (15.0, 11.0): 0.00673115362432, (8.0, 10.0): 0.00682850978417, (9.0, 11.0): 0.00682185486981, (12.0, 3.0): 0.00662562714073, (17.0, 5.0): 0.00841743596216, (16.0, 11.0): 0.00688627177527, (14.0, 10.0): 0.00823721468371, (17.0, 10.0): 0.0087108383164, (15.0, 3.0): 0.00668174954784, (18.0, 17.0): 0.0075320242503, (8.0, 7.0): 0.00670990356366, (9.0, 6.0): 0.00835437318128, (11.0, 7.0): 0.00811926216637, (10.0, 5.0): 0.00832540112175, (16.0, 5.0): 0.00832244046077, (20.0, 24.0): 0.00806972549164, (19.0, 16.0): 0.00762225805882, (16.0, 8.0): 0.00826996483894, (14.0, 7.0): 0.00803731308394, (13.0, 5.0): 0.00811659638712, (18.0, 20.0): 0.0101694073368, (18.0, 7.0): 0.00672325019396, (15.0, 6.0): 0.00814533732724, (18.0, 18.0): 0.0101018127286, (8.0, 4.0): 0.00682863421858, (10.0, 11.0): 0.00675569701793, (13.0, 8.0): 0.00803867835232, (10.0, 6.0): 0.00825484066029, (15.0, 22.0): 0.00524406360181, (12.0, 5.0): 0.00814514897285, (17.0, 3.0): 0.00682106352134, (15.0, 8.0): 0.00815046161646, (21.0, 16.0): 0.00516674887053, (18.0, 8.0): 0.00677836054959, (15.0, 5.0): 0.00821996454213, (18.0, 23.0): 0.00780318039702, (16.0, 15.0): 0.00767248444259, (12.0, 10.0): 0.00822627386168, (15.0, 15.0): 0.0051532785739, (13.0, 11.0): 0.00660547203452, (18.0, 13.0): 0.00654648793924, (18.0, 24.0): 0.00789349160934, (8.0, 11.0): 0.00513970472522, (9.0, 10.0): 0.00849087917503, (19.0, 20.0): 0.00768601574244, (17.0, 4.0): 0.0084890796296, (14.0, 11.0): 0.00663900082813, (18.0, 3.0): 0.00513880118816, (17.0, 9.0): 0.00852434528593, (18.0, 14.0): 0.00696528635671, (8.0, 8.0): 0.00672944863016, (9.0, 5.0): 0.00842052199882, (11.0, 6.0): 0.00814874708098, }, ]
+19 Stop [{(16.0, 6.0): 0.00825974150832, (11.0, 11.0): 0.00667533214959, (17.0, 7.0): 0.0083422643223, (16.0, 9.0): 0.00838242414031, (14.0, 4.0): 0.00823170194243, (13.0, 4.0): 0.0082063686699, (20.0, 20.0): 0.00773719886734, (18.0, 4.0): 0.00681136861984, (18.0, 19.0): 0.00759482147006, (8.0, 5.0): 0.00676807913264, (10.0, 8.0): 0.008261589097, (11.0, 5.0): 0.00822903270068, (10.0, 7.0): 0.00823655773832, (16.0, 3.0): 0.00674475940546, (12.0, 6.0): 0.00808889966349, (16.0, 22.0): 0.00783145295007, (13.0, 7.0): 0.00803328223816, (18.0, 9.0): 0.00690680392556, (15.0, 4.0): 0.00830078764938, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00515788652422, (9.0, 3.0): 0.00680622273028, (19.0, 24.0): 0.00798475351851, (12.0, 11.0): 0.0066226862807, (13.0, 10.0): 0.00820686762848, (18.0, 10.0): 0.0071162545299, (17.0, 18.0): 0.00764884587283, (9.0, 9.0): 0.00841246347071, (16.0, 18.0): 0.00770800424585, (11.0, 8.0): 0.00816218774643, (14.0, 8.0): 0.00808789426869, (21.0, 24.0): 0.00539183549609, (20.0, 16.0): 0.0076943296357, (17.0, 8.0): 0.00839899656756, (18.0, 15.0): 0.00978663929882, (8.0, 9.0): 0.00676797445908, (9.0, 4.0): 0.00847553647236, (10.0, 3.0): 0.00674573627326, (16.0, 7.0): 0.00824005639806, (11.0, 10.0): 0.0083001818298, (17.0, 6.0): 0.00835396638515, (16.0, 10.0): 0.00850810241085, (14.0, 5.0): 0.00815544750448, (13.0, 3.0): 0.00660423588938, (18.0, 5.0): 0.00676665906309, (17.0, 11.0): 0.00710934804583, (18.0, 16.0): 0.0100033352644, (8.0, 6.0): 0.0067251667054, (10.0, 9.0): 0.00832433935647, (9.0, 7.0): 0.00833003837046, (11.0, 4.0): 0.0083020515288, (10.0, 4.0): 0.0083936721061, (16.0, 4.0): 0.00839186294732, (12.0, 7.0): 0.00806151300208, (11.0, 9.0): 0.00822752721527, (15.0, 10.0): 0.00834721290898, (14.0, 6.0): 0.00808708253994, (13.0, 6.0): 0.00806107294027, (18.0, 6.0): 0.00672780788856, (17.0, 22.0): 0.00778880297785, (15.0, 7.0): 0.00813527767261, (18.0, 21.0): 0.00767562395418, (8.0, 3.0): 0.00512599305931, (10.0, 10.0): 0.00839268302195, (11.0, 3.0): 0.00667684825405, (12.0, 4.0): 0.00823233597414, (15.0, 9.0): 0.00824983726256, (14.0, 3.0): 0.00662366720347, (13.0, 9.0): 0.00812818648103, (12.0, 8.0): 0.00808749122641, (18.0, 11.0): 0.00745632867622, (18.0, 22.0): 0.0103304227942, (9.0, 8.0): 0.00835371200958, (14.0, 9.0): 0.00816028694268, (12.0, 9.0): 0.00815437630293, (17.0, 15.0): 0.00752054253785, (21.0, 20.0): 0.00517519361986, (18.0, 12.0): 0.00607914778948, (15.0, 11.0): 0.00673238148635, (8.0, 10.0): 0.00681296491387, (9.0, 11.0): 0.00680579871535, (12.0, 3.0): 0.00662396732607, (17.0, 5.0): 0.00841023364446, (16.0, 11.0): 0.00688446304872, (14.0, 10.0): 0.00824464416742, (17.0, 10.0): 0.00870761664935, (15.0, 3.0): 0.00667621786803, (18.0, 17.0): 0.00753795738852, (8.0, 7.0): 0.00670774638302, (9.0, 6.0): 0.00835385550264, (11.0, 7.0): 0.00813644479223, (10.0, 5.0): 0.00832506521384, (16.0, 5.0): 0.00832237280968, (20.0, 24.0): 0.00805551664761, (19.0, 16.0): 0.0076127846567, (16.0, 8.0): 0.00828274483899, (14.0, 7.0): 0.00805977953823, (13.0, 5.0): 0.00812961777602, (18.0, 20.0): 0.0101852638267, (18.0, 7.0): 0.0067250851731, (15.0, 6.0): 0.00816021654755, (18.0, 18.0): 0.0101132621076, (8.0, 4.0): 0.00681312943173, (10.0, 11.0): 0.00674482964131, (13.0, 8.0): 0.00805965092865, (10.0, 6.0): 0.00826197022676, (15.0, 22.0): 0.00523536240816, (12.0, 5.0): 0.00815664591566, (17.0, 3.0): 0.00680494563924, (15.0, 8.0): 0.00816828092187, (21.0, 16.0): 0.00515357694943, (18.0, 8.0): 0.0067806890109, (15.0, 5.0): 0.00822684647768, (18.0, 23.0): 0.0078116058308, (16.0, 15.0): 0.00764710345302, (12.0, 10.0): 0.00823004553438, (15.0, 15.0): 0.00513413410114, (13.0, 11.0): 0.00660705997278, (18.0, 13.0): 0.00653416777275, (18.0, 24.0): 0.00789590515364, (8.0, 11.0): 0.0051258260719, (9.0, 10.0): 0.00847511325236, (19.0, 20.0): 0.00768679219283, (17.0, 4.0): 0.00847338968725, (14.0, 11.0): 0.00664134955848, (18.0, 3.0): 0.00512489426371, (17.0, 9.0): 0.00852717852408, (18.0, 14.0): 0.0069540031371, (8.0, 8.0): 0.00672511713876, (9.0, 5.0): 0.00841275124508, (11.0, 6.0): 0.00816302747885, }, ]
+20 Stop [{(16.0, 6.0): 0.00826727072975, (11.0, 11.0): 0.00667074838386, (17.0, 7.0): 0.00834832802789, (16.0, 9.0): 0.00839005743536, (14.0, 4.0): 0.00823477795411, (13.0, 4.0): 0.00821106384484, (20.0, 20.0): 0.00772892716332, (18.0, 4.0): 0.00679748294608, (18.0, 19.0): 0.00760623864025, (8.0, 5.0): 0.00675914406646, (10.0, 8.0): 0.00826767718956, (11.0, 5.0): 0.00823516456757, (10.0, 7.0): 0.00824532004496, (16.0, 3.0): 0.00673485331765, (12.0, 6.0): 0.00810623180007, (16.0, 22.0): 0.00782443318006, (13.0, 7.0): 0.00805505972948, (18.0, 9.0): 0.00690637257141, (15.0, 4.0): 0.00829929427037, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00514827801073, (9.0, 3.0): 0.00679176139846, (19.0, 24.0): 0.00797872510658, (12.0, 11.0): 0.00662227870764, (13.0, 10.0): 0.00821371375546, (18.0, 10.0): 0.00711137011279, (17.0, 18.0): 0.00764726556646, (9.0, 9.0): 0.00840511923259, (16.0, 18.0): 0.00769789330167, (11.0, 8.0): 0.00817504801547, (14.0, 8.0): 0.00810717852002, (21.0, 24.0): 0.00538108996392, (20.0, 16.0): 0.00767915990551, (17.0, 8.0): 0.00840540910331, (18.0, 15.0): 0.00977234219912, (8.0, 9.0): 0.00675900682207, (9.0, 4.0): 0.00846123000521, (10.0, 3.0): 0.00673593623562, (16.0, 7.0): 0.00825201694806, (11.0, 10.0): 0.00829892055768, (17.0, 6.0): 0.00835519314419, (16.0, 10.0): 0.00851018698408, (14.0, 5.0): 0.00816613924811, (13.0, 3.0): 0.00660424133871, (18.0, 5.0): 0.00675850562176, (17.0, 11.0): 0.00710405827256, (18.0, 16.0): 0.00999774098922, (8.0, 6.0): 0.00672101915579, (10.0, 9.0): 0.00832372043228, (9.0, 7.0): 0.00833176931995, (11.0, 4.0): 0.00830063052546, (10.0, 4.0): 0.00838569913253, (16.0, 4.0): 0.00838387247009, (12.0, 7.0): 0.00808152618448, (11.0, 9.0): 0.00823372249018, (15.0, 10.0): 0.00835305472155, (14.0, 6.0): 0.0081047198141, (13.0, 6.0): 0.00807999103158, (18.0, 6.0): 0.00672568130822, (17.0, 22.0): 0.00778935767453, (15.0, 7.0): 0.00815272221566, (18.0, 21.0): 0.00768746297329, (8.0, 3.0): 0.0051135023936, (10.0, 10.0): 0.00838467090244, (11.0, 3.0): 0.00667204826911, (12.0, 4.0): 0.00823547224922, (15.0, 9.0): 0.00826160843528, (14.0, 3.0): 0.00662237062871, (13.0, 9.0): 0.00814187365675, (12.0, 8.0): 0.0081050438413, (18.0, 11.0): 0.00744686540948, (18.0, 22.0): 0.0103412832862, (9.0, 8.0): 0.00835283987424, (14.0, 9.0): 0.00817416982447, (12.0, 9.0): 0.008165525352, (17.0, 15.0): 0.00750254182166, (21.0, 20.0): 0.00516666309905, (18.0, 12.0): 0.0060685206898, (15.0, 11.0): 0.00673399110519, (8.0, 10.0): 0.00679886618434, (9.0, 11.0): 0.00679128843027, (12.0, 3.0): 0.0066227300622, (17.0, 5.0): 0.00840365727108, (16.0, 11.0): 0.0068831686274, (14.0, 10.0): 0.00825213971913, (17.0, 10.0): 0.00870498016079, (15.0, 3.0): 0.00667131864912, (18.0, 17.0): 0.00754180180584, (8.0, 7.0): 0.00670551523089, (9.0, 6.0): 0.00835301474534, (11.0, 7.0): 0.00815194615158, (10.0, 5.0): 0.0083244982985, (16.0, 5.0): 0.00832221147749, (20.0, 24.0): 0.00804267447009, (19.0, 16.0): 0.0076032052469, (16.0, 8.0): 0.00829450057336, (14.0, 7.0): 0.00808066325153, (13.0, 5.0): 0.00814183056127, (18.0, 20.0): 0.0101987284957, (18.0, 7.0): 0.0067268483826, (15.0, 6.0): 0.00817383294922, (18.0, 18.0): 0.0101221904374, (8.0, 4.0): 0.00679907378867, (10.0, 11.0): 0.00673502673095, (13.0, 8.0): 0.00807930102859, (10.0, 6.0): 0.00826809523208, (15.0, 22.0): 0.00522816552077, (12.0, 5.0): 0.008167306406, (17.0, 3.0): 0.00679040228653, (15.0, 8.0): 0.00818480699294, (21.0, 16.0): 0.00514156501995, (18.0, 8.0): 0.0067829438409, (15.0, 5.0): 0.00823313419775, (18.0, 23.0): 0.00781844269337, (16.0, 15.0): 0.00762294904753, (12.0, 10.0): 0.00823396582929, (15.0, 15.0): 0.00511610153491, (13.0, 11.0): 0.00660914747869, (18.0, 13.0): 0.00652243956644, (18.0, 24.0): 0.00789742150098, (8.0, 11.0): 0.00511329959794, (9.0, 10.0): 0.00846074285631, (19.0, 20.0): 0.00768764631006, (17.0, 4.0): 0.00845917582057, (14.0, 11.0): 0.00664412658789, (18.0, 3.0): 0.00511237665267, (17.0, 9.0): 0.00852994415765, (18.0, 14.0): 0.00694271679465, (8.0, 8.0): 0.00672095189713, (9.0, 5.0): 0.00840546146994, (11.0, 6.0): 0.0081758749724, }, ]
+21 Stop [{(16.0, 6.0): 0.00827410504974, (11.0, 11.0): 0.00666679756715, (17.0, 7.0): 0.00835390154034, (16.0, 9.0): 0.00839725951714, (14.0, 4.0): 0.00823784772066, (13.0, 4.0): 0.00821568925656, (20.0, 20.0): 0.00772218937398, (18.0, 4.0): 0.00678495785697, (18.0, 19.0): 0.00761564261335, (8.0, 5.0): 0.00675090154672, (10.0, 8.0): 0.0082729211113, (11.0, 5.0): 0.00824069495398, (10.0, 7.0): 0.00825296158763, (16.0, 3.0): 0.00672591805734, (12.0, 6.0): 0.0081221860789, (16.0, 22.0): 0.00781867971192, (13.0, 7.0): 0.00807530824513, (18.0, 9.0): 0.00690616046281, (15.0, 4.0): 0.00829804544074, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00514010343926, (9.0, 3.0): 0.00677867120743, (19.0, 24.0): 0.00797294035922, (12.0, 11.0): 0.00662233680841, (13.0, 10.0): 0.0082206254618, (18.0, 10.0): 0.00710714805558, (17.0, 18.0): 0.00764560056539, (9.0, 9.0): 0.0083982361846, (16.0, 18.0): 0.00768919196141, (11.0, 8.0): 0.00818668753762, (14.0, 8.0): 0.00812522392351, (21.0, 24.0): 0.00537143647199, (20.0, 16.0): 0.00766490422744, (17.0, 8.0): 0.00841137233267, (18.0, 15.0): 0.00975760700252, (8.0, 9.0): 0.0067507300724, (9.0, 4.0): 0.00844818691832, (10.0, 3.0): 0.0067270763023, (16.0, 7.0): 0.00826296769894, (11.0, 10.0): 0.00829794305188, (17.0, 6.0): 0.00835631016164, (16.0, 10.0): 0.0085124480172, (14.0, 5.0): 0.00817612035507, (13.0, 3.0): 0.00660454827637, (18.0, 5.0): 0.00675114892323, (17.0, 11.0): 0.00709951910952, (18.0, 16.0): 0.00999085648133, (8.0, 6.0): 0.00671702256235, (10.0, 9.0): 0.00832298204941, (9.0, 7.0): 0.00833296760462, (11.0, 4.0): 0.00829940536223, (10.0, 4.0): 0.00837839565124, (16.0, 4.0): 0.00837662413712, (12.0, 7.0): 0.00809996154138, (11.0, 9.0): 0.00823938736952, (15.0, 10.0): 0.0083588957483, (14.0, 6.0): 0.00812106925891, (13.0, 6.0): 0.0080975665873, (18.0, 6.0): 0.00672379745698, (17.0, 22.0): 0.00778991777307, (15.0, 7.0): 0.00816880847148, (18.0, 21.0): 0.00769749060323, (8.0, 3.0): 0.00510220959465, (10.0, 10.0): 0.00837736763248, (11.0, 3.0): 0.00666780474682, (12.0, 4.0): 0.00823857712065, (15.0, 9.0): 0.00827273948192, (14.0, 3.0): 0.00662143824495, (13.0, 9.0): 0.00815491672346, (12.0, 8.0): 0.00812128888437, (18.0, 11.0): 0.00743841367864, (18.0, 22.0): 0.0103504086019, (9.0, 8.0): 0.00835171909755, (14.0, 9.0): 0.00818739403113, (12.0, 9.0): 0.00817602623391, (17.0, 15.0): 0.00748491583951, (21.0, 20.0): 0.00515964060396, (18.0, 12.0): 0.00605870310445, (15.0, 11.0): 0.00673593252443, (8.0, 10.0): 0.00678605002218, (9.0, 11.0): 0.00677816056088, (12.0, 3.0): 0.00662184936735, (17.0, 5.0): 0.00839767394811, (16.0, 11.0): 0.0068823418981, (14.0, 10.0): 0.0082596472511, (17.0, 10.0): 0.00870287935684, (15.0, 3.0): 0.00666699450294, (18.0, 17.0): 0.00754391679193, (8.0, 7.0): 0.00670322543494, (9.0, 6.0): 0.00835192294241, (11.0, 7.0): 0.00816594307378, (10.0, 5.0): 0.00832378374012, (16.0, 5.0): 0.00832202922923, (20.0, 24.0): 0.00803101150752, (19.0, 16.0): 0.00759355696478, (16.0, 8.0): 0.00830535821061, (14.0, 7.0): 0.00810006870616, (13.0, 5.0): 0.00815326621836, (18.0, 20.0): 0.0102101314318, (18.0, 7.0): 0.00672853398851, (15.0, 6.0): 0.0081863359813, (18.0, 18.0): 0.0101289829469, (8.0, 4.0): 0.00678630126269, (10.0, 11.0): 0.00672620006676, (13.0, 8.0): 0.00809769135523, (10.0, 6.0): 0.00827336065866, (15.0, 22.0): 0.00522222715374, (12.0, 5.0): 0.00817720111682, (17.0, 3.0): 0.00677727461605, (15.0, 8.0): 0.00820016334745, (21.0, 16.0): 0.00513050247848, (18.0, 8.0): 0.00678512301939, (15.0, 5.0): 0.00823892242859, (18.0, 23.0): 0.00782394221966, (16.0, 15.0): 0.00759988105718, (12.0, 10.0): 0.0082379947758, (15.0, 15.0): 0.0050990337833, (13.0, 11.0): 0.00661163094465, (18.0, 13.0): 0.00651122568363, (18.0, 24.0): 0.00789819643365, (8.0, 11.0): 0.00510197185297, (9.0, 10.0): 0.00844764525192, (19.0, 20.0): 0.00768853994838, (17.0, 4.0): 0.0084463124205, (14.0, 11.0): 0.00664724423677, (18.0, 3.0): 0.00510109685904, (17.0, 9.0): 0.00853267131427, (18.0, 14.0): 0.00693147100348, (8.0, 8.0): 0.00671693646237, (9.0, 5.0): 0.00839862692041, (11.0, 6.0): 0.00818746254474, }, ]
+22 Stop [{(16.0, 6.0): 0.00828034962417, (11.0, 11.0): 0.00666342222096, (17.0, 7.0): 0.00835904384384, (16.0, 9.0): 0.00840409530823, (14.0, 4.0): 0.00824090011585, (13.0, 4.0): 0.00822021313234, (20.0, 20.0): 0.0077167300761, (18.0, 4.0): 0.00677365479883, (18.0, 19.0): 0.00762332613244, (8.0, 5.0): 0.00674328172702, (10.0, 8.0): 0.0082774542767, (11.0, 5.0): 0.00824570954358, (10.0, 7.0): 0.0082596308072, (16.0, 3.0): 0.00671787162151, (12.0, 6.0): 0.00813687557383, (16.0, 22.0): 0.0078139794052, (13.0, 7.0): 0.00809411928704, (18.0, 9.0): 0.0069061421473, (15.0, 4.0): 0.00829703657116, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00513311570676, (9.0, 3.0): 0.00676681079265, (19.0, 24.0): 0.00796738276679, (12.0, 11.0): 0.00662279028521, (13.0, 10.0): 0.00822754457859, (18.0, 10.0): 0.00710350642062, (17.0, 18.0): 0.00764384324565, (9.0, 9.0): 0.0083917990348, (16.0, 18.0): 0.00768164922856, (11.0, 8.0): 0.00819724559532, (14.0, 8.0): 0.0081421082727, (21.0, 24.0): 0.00536272207183, (20.0, 16.0): 0.00765140496998, (17.0, 8.0): 0.00841694143443, (18.0, 15.0): 0.00974257815196, (8.0, 9.0): 0.00674307637616, (9.0, 4.0): 0.00843628501553, (10.0, 3.0): 0.00671906719439, (16.0, 7.0): 0.00827302819422, (11.0, 10.0): 0.00829723795772, (17.0, 6.0): 0.00835734750421, (16.0, 10.0): 0.00851488200242, (14.0, 5.0): 0.00818544519632, (13.0, 3.0): 0.00660509682348, (18.0, 5.0): 0.00674451084892, (17.0, 11.0): 0.00709564454293, (18.0, 16.0): 0.00998294045653, (8.0, 6.0): 0.00671317197449, (10.0, 9.0): 0.00832217886946, (9.0, 7.0): 0.00833372060518, (11.0, 4.0): 0.00829836580433, (10.0, 4.0): 0.00837172340996, (16.0, 4.0): 0.00837008175985, (12.0, 7.0): 0.00811693756471, (11.0, 9.0): 0.00824460524847, (15.0, 10.0): 0.00836472923081, (14.0, 6.0): 0.00813623217774, (13.0, 6.0): 0.00811387927772, (18.0, 6.0): 0.00672213212451, (17.0, 22.0): 0.00779046797881, (15.0, 7.0): 0.00818366884107, (18.0, 21.0): 0.00770596520951, (8.0, 3.0): 0.00509197964908, (10.0, 10.0): 0.00837073761383, (11.0, 3.0): 0.00666406367656, (12.0, 4.0): 0.00824163691309, (15.0, 9.0): 0.00828329042519, (14.0, 3.0): 0.0066208148002, (13.0, 9.0): 0.0081673307611, (12.0, 8.0): 0.0081363311105, (18.0, 11.0): 0.00743083791242, (18.0, 22.0): 0.0103580523491, (9.0, 8.0): 0.00835040291521, (14.0, 9.0): 0.00819998428222, (12.0, 9.0): 0.00818592279741, (17.0, 15.0): 0.00746766738286, (21.0, 20.0): 0.00515388342664, (18.0, 12.0): 0.00604957968235, (15.0, 11.0): 0.00673815881448, (8.0, 10.0): 0.00677438135835, (9.0, 11.0): 0.00676627649162, (12.0, 3.0): 0.00662126602177, (17.0, 5.0): 0.0083922523827, (16.0, 11.0): 0.00688193798645, (14.0, 10.0): 0.00826712355766, (17.0, 10.0): 0.00870126652894, (15.0, 3.0): 0.00666319678946, (18.0, 17.0): 0.00754459878769, (8.0, 7.0): 0.00670088963584, (9.0, 6.0): 0.00835063126581, (11.0, 7.0): 0.00817860325703, (10.0, 5.0): 0.00832297238488, (16.0, 5.0): 0.00832187095856, (20.0, 24.0): 0.00802036885824, (19.0, 16.0): 0.00758386785107, (16.0, 8.0): 0.00831542422136, (14.0, 7.0): 0.00811809572104, (13.0, 5.0): 0.00816396870682, (18.0, 20.0): 0.0102197572463, (18.0, 7.0): 0.00673014392429, (15.0, 6.0): 0.008197848238, (18.0, 18.0): 0.0101339657269, (8.0, 4.0): 0.00677467461757, (10.0, 11.0): 0.00671826307519, (13.0, 8.0): 0.00811488582634, (10.0, 6.0): 0.00827789829471, (15.0, 22.0): 0.00521734014751, (12.0, 5.0): 0.00818638509775, (17.0, 3.0): 0.00676542627213, (15.0, 8.0): 0.00821445868699, (21.0, 16.0): 0.00512021931505, (18.0, 8.0): 0.00678722883421, (15.0, 5.0): 0.00824429068699, (18.0, 23.0): 0.00782831503492, (16.0, 15.0): 0.00757778252388, (12.0, 10.0): 0.00824210210678, (15.0, 15.0): 0.00508281057738, (13.0, 11.0): 0.00661442808981, (18.0, 13.0): 0.00650046659719, (18.0, 24.0): 0.00789835967084, (8.0, 11.0): 0.00509170993009, (9.0, 10.0): 0.00843570245957, (19.0, 20.0): 0.00768944263207, (17.0, 4.0): 0.0084346802194, (14.0, 11.0): 0.00665063137668, (18.0, 3.0): 0.00509092373794, (17.0, 9.0): 0.00853537661989, (18.0, 14.0): 0.00692030064633, (8.0, 8.0): 0.00671306681194, (9.0, 5.0): 0.00839222949093, (11.0, 6.0): 0.00819792946201, }, ]
+23 Stop [{(16.0, 6.0): 0.00828608890383, (11.0, 11.0): 0.00666056648688, (17.0, 7.0): 0.00836380817641, (16.0, 9.0): 0.00841061371542, (14.0, 4.0): 0.00824392270318, (13.0, 4.0): 0.00822461797949, (20.0, 20.0): 0.00771233261605, (18.0, 4.0): 0.00676345203513, (18.0, 19.0): 0.00762953945411, (8.0, 5.0): 0.00673622797796, (10.0, 8.0): 0.00828138249278, (11.0, 5.0): 0.00825027245851, (10.0, 7.0): 0.00826546144816, (16.0, 3.0): 0.00671064002274, (12.0, 6.0): 0.0081504013952, (16.0, 22.0): 0.00781015253509, (13.0, 7.0): 0.00811158353537, (18.0, 9.0): 0.00690629467451, (15.0, 4.0): 0.00829626102413, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00512710759624, (9.0, 3.0): 0.00675605304956, (19.0, 24.0): 0.00796203709862, (12.0, 11.0): 0.00662358057035, (13.0, 10.0): 0.00823442722328, (18.0, 10.0): 0.00710037492587, (17.0, 18.0): 0.00764198892314, (9.0, 9.0): 0.00838578574985, (16.0, 18.0): 0.00767505534478, (11.0, 8.0): 0.0082068478976, (14.0, 8.0): 0.00815790655786, (21.0, 24.0): 0.005354817322, (20.0, 16.0): 0.00763853393121, (17.0, 8.0): 0.00842216443246, (18.0, 15.0): 0.00972736899519, (8.0, 9.0): 0.00673599094357, (9.0, 4.0): 0.00842541893584, (10.0, 3.0): 0.00671183009789, (16.0, 7.0): 0.00828230294493, (11.0, 10.0): 0.0082967921406, (17.0, 6.0): 0.00835833170211, (16.0, 10.0): 0.00851747911069, (14.0, 5.0): 0.00819416737674, (13.0, 3.0): 0.00660583703783, (18.0, 5.0): 0.0067385249196, (17.0, 11.0): 0.00709235841624, (18.0, 16.0): 0.00997420186504, (8.0, 6.0): 0.0067094620875, (10.0, 9.0): 0.00832135500865, (9.0, 7.0): 0.00833409952764, (11.0, 4.0): 0.00829750305333, (10.0, 4.0): 0.00836563612154, (16.0, 4.0): 0.00836420180717, (12.0, 7.0): 0.00813257335862, (11.0, 9.0): 0.00824943809368, (15.0, 10.0): 0.00837054474684, (14.0, 6.0): 0.00815030012216, (13.0, 6.0): 0.00812901500463, (18.0, 6.0): 0.00672066622527, (17.0, 22.0): 0.00779099554862, (15.0, 7.0): 0.00819741993626, (18.0, 21.0): 0.00771310746869, (8.0, 3.0): 0.00508269790225, (10.0, 10.0): 0.00836473714892, (11.0, 3.0): 0.00666077238405, (12.0, 4.0): 0.00824463669494, (15.0, 9.0): 0.00829331158669, (14.0, 3.0): 0.00662045712645, (13.0, 9.0): 0.00817913364913, (12.0, 8.0): 0.00815026457886, (18.0, 11.0): 0.00742402377978, (18.0, 22.0): 0.0103644291617, (9.0, 8.0): 0.00834894206936, (14.0, 9.0): 0.00821196745977, (12.0, 9.0): 0.00819525840485, (17.0, 15.0): 0.0074507945069, (21.0, 20.0): 0.00514918507202, (18.0, 12.0): 0.00604105823795, (15.0, 11.0): 0.00674062789057, (8.0, 10.0): 0.0067637415689, (9.0, 11.0): 0.00675551202698, (12.0, 3.0): 0.00662093401307, (17.0, 5.0): 0.0083873579252, (16.0, 11.0): 0.00688191173645, (14.0, 10.0): 0.00827453417403, (17.0, 10.0): 0.00870009277114, (15.0, 3.0): 0.00665987811702, (18.0, 17.0): 0.00754409280843, (8.0, 7.0): 0.0066985262266, (9.0, 6.0): 0.00834918892495, (11.0, 7.0): 0.00819006933725, (10.0, 5.0): 0.00832210662481, (16.0, 5.0): 0.00832176908245, (20.0, 24.0): 0.00801061157759, (19.0, 16.0): 0.00757415938782, (16.0, 8.0): 0.00832478956905, (14.0, 7.0): 0.00813484485992, (13.0, 5.0): 0.00817397828219, (18.0, 20.0): 0.0102278506362, (18.0, 7.0): 0.00673168498952, (15.0, 6.0): 0.00820847791359, (18.0, 18.0): 0.0101374141537, (8.0, 4.0): 0.00676407263895, (10.0, 11.0): 0.00671113796971, (13.0, 8.0): 0.00813095505154, (10.0, 6.0): 0.00828181244292, (15.0, 22.0): 0.00521332987549, (12.0, 5.0): 0.00819491516701, (17.0, 3.0): 0.0067547350966, (15.0, 8.0): 0.00822779008946, (21.0, 16.0): 0.00511057798085, (18.0, 8.0): 0.00678926701333, (15.0, 5.0): 0.0082492983302, (18.0, 23.0): 0.0078317379892, (16.0, 15.0): 0.0075565552576, (12.0, 10.0): 0.0082462590594, (15.0, 15.0): 0.00506733279665, (13.0, 11.0): 0.00661747135364, (18.0, 13.0): 0.00649011564196, (18.0, 24.0): 0.00789801915752, (8.0, 11.0): 0.00508240110585, (9.0, 10.0): 0.00842481228413, (19.0, 20.0): 0.00769033021429, (17.0, 4.0): 0.00842417314013, (14.0, 11.0): 0.00665422928178, (18.0, 3.0): 0.00508174484705, (17.0, 9.0): 0.00853807151512, (18.0, 14.0): 0.00690923361916, (8.0, 8.0): 0.00670933878903, (9.0, 5.0): 0.00838624406319, (11.0, 6.0): 0.00820740322623, }, ]
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+28 Stop [{(16.0, 6.0): 0.0083093228017, (11.0, 11.0): 0.00665243108263, (17.0, 7.0): 0.00838346105257, (16.0, 9.0): 0.0084395353925, (14.0, 4.0): 0.00825837182319, (13.0, 4.0): 0.008244566844, (20.0, 20.0): 0.00770075458869, (18.0, 4.0): 0.00672563927861, (18.0, 19.0): 0.00764500566671, (8.0, 5.0): 0.00670789111588, (10.0, 8.0): 0.0082946903069, (11.0, 5.0): 0.00826798127577, (10.0, 7.0): 0.00828547205306, (16.0, 3.0): 0.0066844600799, (12.0, 6.0): 0.00820374473138, (16.0, 22.0): 0.00779958014661, (13.0, 7.0): 0.00818185103991, (18.0, 9.0): 0.00690900928907, (15.0, 4.0): 0.00829541214975, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00510659202339, (9.0, 3.0): 0.00671532142558, (19.0, 24.0): 0.00793803096305, (12.0, 11.0): 0.00663101748761, (13.0, 10.0): 0.00826733422655, (18.0, 10.0): 0.00709046982912, (17.0, 18.0): 0.0076312144023, (9.0, 9.0): 0.00836137689572, (16.0, 18.0): 0.00765111498635, (11.0, 8.0): 0.00824382278365, (14.0, 8.0): 0.00822307416454, (21.0, 24.0): 0.00532412701379, (20.0, 16.0): 0.00758055665432, (17.0, 8.0): 0.00844438309289, (18.0, 15.0): 0.00965115856717, (8.0, 9.0): 0.00670759366976, (9.0, 4.0): 0.00838355936441, (10.0, 3.0): 0.00668487294502, (16.0, 7.0): 0.00831966414616, (11.0, 10.0): 0.00829778237136, (17.0, 6.0): 0.00836308254134, (16.0, 10.0): 0.00853231823777, (14.0, 5.0): 0.00823025929212, (13.0, 3.0): 0.00661129102275, (18.0, 5.0): 0.00671655017823, (17.0, 11.0): 0.00708259769427, (18.0, 16.0): 0.00992311523443, (8.0, 6.0): 0.00669299535928, (10.0, 9.0): 0.00831771640718, (9.0, 7.0): 0.00833237430182, (11.0, 4.0): 0.00829535043859, (10.0, 4.0): 0.00834248704725, (16.0, 4.0): 0.00834323098842, (12.0, 7.0): 0.00819425829789, (11.0, 9.0): 0.00826934705236, (15.0, 10.0): 0.00839895068113, (14.0, 6.0): 0.00820706782472, (13.0, 6.0): 0.00818982419382, (18.0, 6.0): 0.00671590323505, (17.0, 22.0): 0.00779299050811, (15.0, 7.0): 0.00825285386723, (18.0, 21.0): 0.00773454160327, (8.0, 3.0): 0.00504741478713, (10.0, 10.0): 0.00834270038629, (11.0, 3.0): 0.00664957674002, (12.0, 4.0): 0.00825850145885, (15.0, 9.0): 0.00833677532403, (14.0, 3.0): 0.00662152928163, (13.0, 9.0): 0.00822983749522, (12.0, 8.0): 0.00820622948934, (18.0, 11.0): 0.00739847656665, (18.0, 22.0): 0.0103827954451, (9.0, 8.0): 0.00834069575029, (14.0, 9.0): 0.00826373733991, (12.0, 9.0): 0.00823476710794, (17.0, 15.0): 0.00737183234833, (21.0, 20.0): 0.00513628650575, (18.0, 12.0): 0.00600527694154, (15.0, 11.0): 0.00675538851763, (8.0, 10.0): 0.00672282907849, (9.0, 11.0): 0.00671506899915, (12.0, 3.0): 0.00662185199792, (17.0, 5.0): 0.00836966929306, (16.0, 11.0): 0.00688603573782, (14.0, 10.0): 0.00830983386226, (17.0, 10.0): 0.00869929661376, (15.0, 3.0): 0.00664908502389, (18.0, 17.0): 0.00752974565398, (8.0, 7.0): 0.006686855173, (9.0, 6.0): 0.00834090214095, (11.0, 7.0): 0.00823351837381, (10.0, 5.0): 0.00831773483193, (16.0, 5.0): 0.00832257804435, (20.0, 24.0): 0.00797162961461, (19.0, 16.0): 0.0075258036408, (16.0, 8.0): 0.00836348435485, (14.0, 7.0): 0.00820258154658, (13.0, 5.0): 0.00821511228073, (18.0, 20.0): 0.0102517175657, (18.0, 7.0): 0.00673868929647, (15.0, 6.0): 0.00825124721726, (18.0, 18.0): 0.0101386126156, (8.0, 4.0): 0.00672320574078, (10.0, 11.0): 0.00668533870659, (13.0, 8.0): 0.00819683077531, (10.0, 6.0): 0.00829476270634, (15.0, 22.0): 0.00520201423336, (12.0, 5.0): 0.00822939842165, (17.0, 3.0): 0.00671523119854, (15.0, 8.0): 0.00828270511853, (21.0, 16.0): 0.00506875083934, (18.0, 8.0): 0.00679869491257, (15.0, 5.0): 0.00827035840918, (18.0, 23.0): 0.00783905453812, (16.0, 15.0): 0.00746097772565, (12.0, 10.0): 0.00826707866893, (15.0, 15.0): 0.00499866686588, (13.0, 11.0): 0.00663474778239, (18.0, 13.0): 0.00644340144226, (18.0, 24.0): 0.00789142804661, (8.0, 11.0): 0.00504712086769, (9.0, 10.0): 0.00838317423961, (19.0, 20.0): 0.00769400045957, (17.0, 4.0): 0.00838539623721, (14.0, 11.0): 0.0066739137823, (18.0, 3.0): 0.0050477039463, (17.0, 9.0): 0.00855151654796, (18.0, 14.0): 0.00685607114256, (8.0, 8.0): 0.00669283090078, (9.0, 5.0): 0.00836172438756, (11.0, 6.0): 0.00824325538906, }, ]
+29 Stop [{(16.0, 6.0): 0.00831317895016, (11.0, 11.0): 0.00665175329348, (17.0, 7.0): 0.00838679049071, (16.0, 9.0): 0.00844472597142, (14.0, 4.0): 0.00826110434222, (13.0, 4.0): 0.00824813323704, (20.0, 20.0): 0.00769972826896, (18.0, 4.0): 0.00672019459375, (18.0, 19.0): 0.00764591776755, (8.0, 5.0): 0.0067033679315, (10.0, 8.0): 0.00829647946022, (11.0, 5.0): 0.0082707440714, (10.0, 7.0): 0.00828816354839, (16.0, 3.0): 0.00668084027327, (12.0, 6.0): 0.00821209620676, (16.0, 22.0): 0.00779853066825, (13.0, 7.0): 0.0081930691707, (18.0, 9.0): 0.00690984681728, (15.0, 4.0): 0.00829574593008, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00510366767381, (9.0, 3.0): 0.00670923206124, (19.0, 24.0): 0.00793369620809, (12.0, 11.0): 0.00663296482194, (13.0, 10.0): 0.00827350379619, (18.0, 10.0): 0.00708934824396, (17.0, 18.0): 0.00762876295011, (9.0, 9.0): 0.008357491076, (16.0, 18.0): 0.00764740580791, (11.0, 8.0): 0.00824952160121, (14.0, 8.0): 0.00823378578897, (21.0, 24.0): 0.00531927337843, (20.0, 16.0): 0.00756982885138, (17.0, 8.0): 0.0084482427378, (18.0, 15.0): 0.00963620294736, (8.0, 9.0): 0.0067030887914, (9.0, 4.0): 0.00837718595143, (10.0, 3.0): 0.00668094018711, (16.0, 7.0): 0.0083257572445, (11.0, 10.0): 0.00829848946645, (17.0, 6.0): 0.00836408294649, (16.0, 10.0): 0.00853552911949, (14.0, 5.0): 0.00823623392599, (13.0, 3.0): 0.00661258144438, (18.0, 5.0): 0.00671345703158, (17.0, 11.0): 0.00708163682244, (18.0, 16.0): 0.00991208488199, (8.0, 6.0): 0.00669011584023, (10.0, 9.0): 0.00831716620969, (9.0, 7.0): 0.00833160264247, (11.0, 4.0): 0.0082952582291, (10.0, 4.0): 0.00833904457269, (16.0, 4.0): 0.00834043850392, (12.0, 7.0): 0.00820392038646, (11.0, 9.0): 0.0082726871445, (15.0, 10.0): 0.00840442275044, (14.0, 6.0): 0.0082161960149, (13.0, 6.0): 0.00819952001411, (18.0, 6.0): 0.0067154021857, (17.0, 22.0): 0.00779322241284, (15.0, 7.0): 0.00826181037915, (18.0, 21.0): 0.0077368087871, (8.0, 3.0): 0.0050421033873, (10.0, 10.0): 0.00833960935754, (11.0, 3.0): 0.00664814550846, (12.0, 4.0): 0.0082610264321, (15.0, 9.0): 0.00834434077122, (14.0, 3.0): 0.00662215069671, (13.0, 9.0): 0.00823850138899, (12.0, 8.0): 0.00821518169083, (18.0, 11.0): 0.00739464500302, (18.0, 22.0): 0.0103845610778, (9.0, 8.0): 0.00833903517614, (14.0, 9.0): 0.00827265163719, (12.0, 9.0): 0.00824145196276, (17.0, 15.0): 0.00735705966645, (21.0, 20.0): 0.0051350614491, (18.0, 12.0): 0.00599917860293, (15.0, 11.0): 0.00675862464566, (8.0, 10.0): 0.00671661415754, (9.0, 11.0): 0.00670911039692, (12.0, 3.0): 0.00662238023194, (17.0, 5.0): 0.00836728276775, (16.0, 11.0): 0.00688746913498, (14.0, 10.0): 0.00831644966755, (17.0, 10.0): 0.00869989316074, (15.0, 3.0): 0.00664785102631, (18.0, 17.0): 0.0075253471805, (8.0, 7.0): 0.00668464521863, (9.0, 6.0): 0.00833920154715, (11.0, 7.0): 0.00824006537949, (10.0, 5.0): 0.00831693804977, (16.0, 5.0): 0.00832303190734, (20.0, 24.0): 0.00796528369945, (19.0, 16.0): 0.00751623224031, (16.0, 8.0): 0.00836995442099, (14.0, 7.0): 0.0082134856886, (13.0, 5.0): 0.00822183220646, (18.0, 20.0): 0.0102541119679, (18.0, 7.0): 0.00674001407154, (15.0, 6.0): 0.00825817002402, (18.0, 18.0): 0.0101366417282, (8.0, 4.0): 0.00671695768276, (10.0, 11.0): 0.00668174977435, (13.0, 8.0): 0.00820756459286, (10.0, 6.0): 0.00829642542427, (15.0, 22.0): 0.00520086716555, (12.0, 5.0): 0.00823494763368, (17.0, 3.0): 0.00670957004915, (15.0, 8.0): 0.00829177856584, (21.0, 16.0): 0.00506122763778, (18.0, 8.0): 0.00680047499311, (15.0, 5.0): 0.00827397102253, (18.0, 23.0): 0.00783919305618, (16.0, 15.0): 0.0074436034576, (12.0, 10.0): 0.00827114684686, (15.0, 15.0): 0.00498632600816, (13.0, 11.0): 0.00663838660838, (18.0, 13.0): 0.00643491650879, (18.0, 24.0): 0.00788950451593, (8.0, 11.0): 0.00504184814197, (9.0, 10.0): 0.00837692482373, (19.0, 20.0): 0.0076945144075, (17.0, 4.0): 0.00837987692302, (14.0, 11.0): 0.00667797929303, (18.0, 3.0): 0.00504278560139, (17.0, 9.0): 0.00855419865169, (18.0, 14.0): 0.00684594717006, (8.0, 8.0): 0.00668995908594, (9.0, 5.0): 0.00835775692394, (11.0, 6.0): 0.00824865249527, }, ]
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+500 Stop [{(16.0, 6.0): 0.00876445201575, (11.0, 11.0): 0.00698371493208, (17.0, 7.0): 0.00879450296518, (16.0, 9.0): 0.00883001960146, (14.0, 4.0): 0.00872746519602, (13.0, 4.0): 0.00871879628975, (20.0, 20.0): 0.00653454437334, (18.0, 4.0): 0.00700218815395, (18.0, 19.0): 0.00642788389842, (8.0, 5.0): 0.00695549862995, (10.0, 8.0): 0.00871012204481, (11.0, 5.0): 0.00870606742946, (10.0, 7.0): 0.00870637688347, (16.0, 3.0): 0.0069918126749, (12.0, 6.0): 0.00871861244245, (16.0, 22.0): 0.00665126238411, (13.0, 7.0): 0.00873713108098, (18.0, 9.0): 0.00710505635403, (15.0, 4.0): 0.00873597888161, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00424286785494, (9.0, 3.0): 0.00695526073274, (19.0, 24.0): 0.00669479610903, (12.0, 11.0): 0.00699635095758, (13.0, 10.0): 0.00876200277989, (18.0, 10.0): 0.00716089511618, (17.0, 18.0): 0.00635315604175, (9.0, 9.0): 0.00870730246862, (16.0, 18.0): 0.00636111244733, (11.0, 8.0): 0.00871900247567, (14.0, 8.0): 0.00876362452976, (21.0, 24.0): 0.00447325180343, (20.0, 16.0): 0.00613957536875, (17.0, 8.0): 0.0088226231689, (18.0, 15.0): 0.00799846039055, (8.0, 9.0): 0.00696355294227, (9.0, 4.0): 0.0086945734827, (10.0, 3.0): 0.00695799849289, (16.0, 7.0): 0.00878186326486, (11.0, 10.0): 0.00872733123851, (17.0, 6.0): 0.00877354455152, (16.0, 10.0): 0.00885744833637, (14.0, 5.0): 0.00873287512279, (13.0, 3.0): 0.00697354612799, (18.0, 5.0): 0.00701022965144, (17.0, 11.0): 0.00716022230832, (18.0, 16.0): 0.00816500000226, (8.0, 6.0): 0.00695717347173, (10.0, 9.0): 0.00871366311739, (9.0, 7.0): 0.00870130594485, (11.0, 4.0): 0.00870364928509, (10.0, 4.0): 0.00869817964312, (16.0, 4.0): 0.00874354779429, (12.0, 7.0): 0.00872452046483, (11.0, 9.0): 0.00872359843808, (15.0, 10.0): 0.0088184530669, (14.0, 6.0): 0.00874102565614, (13.0, 6.0): 0.00872924497342, (18.0, 6.0): 0.00702310541278, (17.0, 22.0): 0.00664093176157, (15.0, 7.0): 0.00876686746543, (18.0, 21.0): 0.00657022821798, (8.0, 3.0): 0.00521557463632, (10.0, 10.0): 0.00871654268767, (11.0, 3.0): 0.00696214614937, (12.0, 4.0): 0.00871066773265, (15.0, 9.0): 0.0088014586812, (14.0, 3.0): 0.0069799999001, (13.0, 9.0): 0.00875468233608, (12.0, 8.0): 0.00873098323006, (18.0, 11.0): 0.00725483193559, (18.0, 22.0): 0.00883261556912, (9.0, 8.0): 0.00870438990128, (14.0, 9.0): 0.00877610938079, (12.0, 9.0): 0.00873722277191, (17.0, 15.0): 0.00600683862799, (21.0, 20.0): 0.00435887038797, (18.0, 12.0): 0.00558245744497, (15.0, 11.0): 0.00706389244081, (8.0, 10.0): 0.00696527413565, (9.0, 11.0): 0.00696899976036, (12.0, 3.0): 0.00696744615879, (17.0, 5.0): 0.00875872766401, (16.0, 11.0): 0.00710304279095, (14.0, 10.0): 0.00878703843123, (17.0, 10.0): 0.00890417801384, (15.0, 3.0): 0.00698628038636, (18.0, 17.0): 0.00623417426364, (8.0, 7.0): 0.00695924354216, (9.0, 6.0): 0.00869842438484, (11.0, 7.0): 0.00871417220632, (10.0, 5.0): 0.00870004660413, (16.0, 5.0): 0.00875172936139, (20.0, 24.0): 0.00670556272417, (19.0, 16.0): 0.00613347353304, (16.0, 8.0): 0.00880394528003, (14.0, 7.0): 0.00875151718198, (13.0, 5.0): 0.00872298565385, (18.0, 20.0): 0.00868026870456, (18.0, 7.0): 0.00704174832288, (15.0, 6.0): 0.00875313661443, (18.0, 18.0): 0.00845396638126, (8.0, 4.0): 0.00695442544702, (10.0, 11.0): 0.00697470361553, (13.0, 8.0): 0.0087459479267, (10.0, 6.0): 0.00870288436823, (15.0, 22.0): 0.00443693517943, (12.0, 5.0): 0.00871385575527, (17.0, 3.0): 0.00699603482578, (15.0, 8.0): 0.0087833984334, (21.0, 16.0): 0.00409468103573, (18.0, 8.0): 0.00706790534976, (15.0, 5.0): 0.00874276622352, (18.0, 23.0): 0.00665414713206, (16.0, 15.0): 0.00601185515209, (12.0, 10.0): 0.0087423334152, (15.0, 15.0): 0.0040092442278, (13.0, 11.0): 0.00701315749231, (18.0, 13.0): 0.00572300397111, (18.0, 24.0): 0.00667762989007, (8.0, 11.0): 0.00522481941123, (9.0, 10.0): 0.00870968482427, (19.0, 20.0): 0.00652516046185, (17.0, 4.0): 0.00874936449756, (14.0, 11.0): 0.00703508818244, (18.0, 3.0): 0.00524886438012, (17.0, 9.0): 0.00885912388042, (18.0, 14.0): 0.00586203862924, (8.0, 8.0): 0.00696145909811, (9.0, 5.0): 0.00869608752292, (11.0, 6.0): 0.00870969725848, }, ]
+501 None [{(16.0, 6.0): 0.00876445201575, (11.0, 11.0): 0.00698371493208, (17.0, 7.0): 0.00879450296518, (16.0, 9.0): 0.00883001960146, (14.0, 4.0): 0.00872746519602, (13.0, 4.0): 0.00871879628975, (20.0, 20.0): 0.00653454437334, (18.0, 4.0): 0.00700218815395, (18.0, 19.0): 0.00642788389842, (8.0, 5.0): 0.00695549862995, (10.0, 8.0): 0.00871012204481, (11.0, 5.0): 0.00870606742946, (10.0, 7.0): 0.00870637688347, (16.0, 3.0): 0.0069918126749, (12.0, 6.0): 0.00871861244245, (16.0, 22.0): 0.00665126238411, (13.0, 7.0): 0.00873713108098, (18.0, 9.0): 0.00710505635403, (15.0, 4.0): 0.00873597888161, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00424286785494, (9.0, 3.0): 0.00695526073274, (19.0, 24.0): 0.00669479610903, (12.0, 11.0): 0.00699635095758, (13.0, 10.0): 0.00876200277989, (18.0, 10.0): 0.00716089511618, (17.0, 18.0): 0.00635315604175, (9.0, 9.0): 0.00870730246862, (16.0, 18.0): 0.00636111244733, (11.0, 8.0): 0.00871900247567, (14.0, 8.0): 0.00876362452976, (21.0, 24.0): 0.00447325180343, (20.0, 16.0): 0.00613957536875, (17.0, 8.0): 0.0088226231689, (18.0, 15.0): 0.00799846039055, (8.0, 9.0): 0.00696355294227, (9.0, 4.0): 0.0086945734827, (10.0, 3.0): 0.00695799849289, (16.0, 7.0): 0.00878186326486, (11.0, 10.0): 0.00872733123851, (17.0, 6.0): 0.00877354455152, (16.0, 10.0): 0.00885744833637, (14.0, 5.0): 0.00873287512279, (13.0, 3.0): 0.00697354612799, (18.0, 5.0): 0.00701022965144, (17.0, 11.0): 0.00716022230832, (18.0, 16.0): 0.00816500000226, (8.0, 6.0): 0.00695717347173, (10.0, 9.0): 0.00871366311739, (9.0, 7.0): 0.00870130594485, (11.0, 4.0): 0.00870364928509, (10.0, 4.0): 0.00869817964312, (16.0, 4.0): 0.00874354779429, (12.0, 7.0): 0.00872452046483, (11.0, 9.0): 0.00872359843808, (15.0, 10.0): 0.0088184530669, (14.0, 6.0): 0.00874102565614, (13.0, 6.0): 0.00872924497342, (18.0, 6.0): 0.00702310541278, (17.0, 22.0): 0.00664093176157, (15.0, 7.0): 0.00876686746543, (18.0, 21.0): 0.00657022821798, (8.0, 3.0): 0.00521557463632, (10.0, 10.0): 0.00871654268767, (11.0, 3.0): 0.00696214614937, (12.0, 4.0): 0.00871066773265, (15.0, 9.0): 0.0088014586812, (14.0, 3.0): 0.0069799999001, (13.0, 9.0): 0.00875468233608, (12.0, 8.0): 0.00873098323006, (18.0, 11.0): 0.00725483193559, (18.0, 22.0): 0.00883261556912, (9.0, 8.0): 0.00870438990128, (14.0, 9.0): 0.00877610938079, (12.0, 9.0): 0.00873722277191, (17.0, 15.0): 0.00600683862799, (21.0, 20.0): 0.00435887038797, (18.0, 12.0): 0.00558245744497, (15.0, 11.0): 0.00706389244081, (8.0, 10.0): 0.00696527413565, (9.0, 11.0): 0.00696899976036, (12.0, 3.0): 0.00696744615879, (17.0, 5.0): 0.00875872766401, (16.0, 11.0): 0.00710304279095, (14.0, 10.0): 0.00878703843123, (17.0, 10.0): 0.00890417801384, (15.0, 3.0): 0.00698628038636, (18.0, 17.0): 0.00623417426364, (8.0, 7.0): 0.00695924354216, (9.0, 6.0): 0.00869842438484, (11.0, 7.0): 0.00871417220632, (10.0, 5.0): 0.00870004660413, (16.0, 5.0): 0.00875172936139, (20.0, 24.0): 0.00670556272417, (19.0, 16.0): 0.00613347353304, (16.0, 8.0): 0.00880394528003, (14.0, 7.0): 0.00875151718198, (13.0, 5.0): 0.00872298565385, (18.0, 20.0): 0.00868026870456, (18.0, 7.0): 0.00704174832288, (15.0, 6.0): 0.00875313661443, (18.0, 18.0): 0.00845396638126, (8.0, 4.0): 0.00695442544702, (10.0, 11.0): 0.00697470361553, (13.0, 8.0): 0.0087459479267, (10.0, 6.0): 0.00870288436823, (15.0, 22.0): 0.00443693517943, (12.0, 5.0): 0.00871385575527, (17.0, 3.0): 0.00699603482578, (15.0, 8.0): 0.0087833984334, (21.0, 16.0): 0.00409468103573, (18.0, 8.0): 0.00706790534976, (15.0, 5.0): 0.00874276622352, (18.0, 23.0): 0.00665414713206, (16.0, 15.0): 0.00601185515209, (12.0, 10.0): 0.0087423334152, (15.0, 15.0): 0.0040092442278, (13.0, 11.0): 0.00701315749231, (18.0, 13.0): 0.00572300397111, (18.0, 24.0): 0.00667762989007, (8.0, 11.0): 0.00522481941123, (9.0, 10.0): 0.00870968482427, (19.0, 20.0): 0.00652516046185, (17.0, 4.0): 0.00874936449756, (14.0, 11.0): 0.00703508818244, (18.0, 3.0): 0.00524886438012, (17.0, 9.0): 0.00885912388042, (18.0, 14.0): 0.00586203862924, (8.0, 8.0): 0.00696145909811, (9.0, 5.0): 0.00869608752292, (11.0, 6.0): 0.00870969725848, }, ]
+"""
diff --git a/tracking/test_cases/q7/4-ExactPredict.test b/tracking/test_cases/q7/4-ExactPredict.test
new file mode 100644
index 0000000..0faa6fc
--- /dev/null
+++ b/tracking/test_cases/q7/4-ExactPredict.test
@@ -0,0 +1,46 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%    %
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%    %%%%
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%%%%    %
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%    %%%%
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%%%%    %
+%%%%%%%%%%%%%%%    %%%%
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%           %%%%
+%%%%%%%%           %%%%
+%%%%%%%%           %%%%
+%%%%%%%%           %%%%
+%%%%%%%%   G       %%%%
+%%%%%%%%           %%%%
+%%P%%%%%           %%%%
+%%%%%%%%           %%%%
+%%%%%%%%           %%%%
+%%%%%%%%%%%%%%%%%%%%%%%
+% %%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "500"
+numParticles: "5000"
+numGhosts: "1"
+ghost: "SeededRandomGhostAgent"
+errorMsg: "Exact inference elapseTime test: %d inference errors."
+inference: "ExactInference"
+L2Tolerance: "0.0001"
+
diff --git a/tracking/test_cases/q7/CONFIG b/tracking/test_cases/q7/CONFIG
new file mode 100644
index 0000000..b4a7732
--- /dev/null
+++ b/tracking/test_cases/q7/CONFIG
@@ -0,0 +1,3 @@
+max_points: "2"
+class: "PassAllTestsQuestion"
+
diff --git a/tracking/test_cases/q8/1-ExactFull.solution b/tracking/test_cases/q8/1-ExactFull.solution
new file mode 100644
index 0000000..ca36122
--- /dev/null
+++ b/tracking/test_cases/q8/1-ExactFull.solution
@@ -0,0 +1,205 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(3, 15): 0.007751937984496124, (6, 9): 0.007751937984496124, (1, 3): 0.007751937984496124, (8, 13): 0.007751937984496124, (11, 11): 0.007751937984496124, (7, 3): 0.007751937984496124, (7, 12): 0.007751937984496124, (9, 8): 0.007751937984496124, (5, 13): 0.007751937984496124, (11, 7): 0.007751937984496124, (10, 15): 0.007751937984496124, (1, 6): 0.007751937984496124, (7, 11): 0.007751937984496124, (1, 11): 0.007751937984496124, (8, 5): 0.007751937984496124, (5, 8): 0.007751937984496124, (13, 13): 0.007751937984496124, (4, 13): 0.007751937984496124, (13, 12): 0.007751937984496124, (6, 7): 0.007751937984496124, (5, 5): 0.007751937984496124, (11, 5): 0.007751937984496124, (10, 7): 0.007751937984496124, (13, 10): 0.007751937984496124, (3, 10): 0.007751937984496124, (6, 10): 0.007751937984496124, (1, 14): 0.007751937984496124, (8, 10): 0.007751937984496124, (4, 8): 0.007751937984496124, (9, 11): 0.007751937984496124, (3, 5): 0.007751937984496124, (6, 15): 0.007751937984496124, (13, 4): 0.007751937984496124, (8, 15): 0.007751937984496124, (11, 13): 0.007751937984496124, (4, 10): 0.007751937984496124, (7, 10): 0.007751937984496124, (5, 11): 0.007751937984496124, (4, 5): 0.007751937984496124, (10, 13): 0.007751937984496124, (9, 3): 0.007751937984496124, (12, 15): 0.007751937984496124, (1, 4): 0.007751937984496124, (7, 7): 0.007751937984496124, (7, 5): 0.007751937984496124, (2, 3): 0.007751937984496124, (1, 9): 0.007751937984496124, (8, 7): 0.007751937984496124, (9, 6): 0.007751937984496124, (6, 5): 0.007751937984496124, (5, 3): 0.007751937984496124, (7, 15): 0.007751937984496124, (10, 5): 0.007751937984496124, (3, 12): 0.007751937984496124, (6, 8): 0.007751937984496124, (1, 12): 0.007751937984496124, (8, 12): 0.007751937984496124, (11, 8): 0.007751937984496124, (4, 15): 0.007751937984496124, (7, 13): 0.007751937984496124, (13, 6): 0.007751937984496124, (9, 9): 0.007751937984496124, (12, 3): 0.007751937984496124, (6, 13): 0.007751937984496124, (1, 7): 0.007751937984496124, (11, 15): 0.007751937984496124, (3, 9): 0.007751937984496124, (13, 11): 0.007751937984496124, (7, 8): 0.007751937984496124, (9, 12): 0.007751937984496124, (13, 7): 0.007751937984496124, (5, 9): 0.007751937984496124, (4, 7): 0.007751937984496124, (10, 11): 0.007751937984496124, (10, 8): 0.007751937984496124, (6, 6): 0.007751937984496124, (5, 6): 0.007751937984496124, (10, 6): 0.007751937984496124, (3, 11): 0.007751937984496124, (1, 15): 0.007751937984496124, (8, 9): 0.007751937984496124, (4, 12): 0.007751937984496124, (13, 8): 0.007751937984496124, (3, 7): 0.007751937984496124, (10, 3): 0.007751937984496124, (11, 10): 0.007751937984496124, (4, 9): 0.007751937984496124, (3, 3): 0.007751937984496124, (9, 15): 0.007751937984496124, (5, 12): 0.007751937984496124, (10, 12): 0.007751937984496124, (6, 3): 0.007751937984496124, (1, 5): 0.007751937984496124, (3, 6): 0.007751937984496124, (1, 10): 0.007751937984496124, (8, 6): 0.007751937984496124, (10, 9): 0.007751937984496124, (9, 7): 0.007751937984496124, (13, 15): 0.007751937984496124, (3, 13): 0.007751937984496124, (6, 11): 0.007751937984496124, (1, 13): 0.007751937984496124, (8, 11): 0.007751937984496124, (11, 9): 0.007751937984496124, (9, 10): 0.007751937984496124, (5, 15): 0.007751937984496124, (13, 9): 0.007751937984496124, (6, 12): 0.007751937984496124, (11, 12): 0.007751937984496124, (4, 11): 0.007751937984496124, (7, 9): 0.007751937984496124, (9, 13): 0.007751937984496124, (8, 3): 0.007751937984496124, (5, 10): 0.007751937984496124, (4, 6): 0.007751937984496124, (13, 3): 0.007751937984496124, (10, 10): 0.007751937984496124, (13, 14): 0.007751937984496124, (5, 7): 0.007751937984496124, (11, 3): 0.007751937984496124, (3, 8): 0.007751937984496124, (1, 8): 0.007751937984496124, (8, 8): 0.007751937984496124, (4, 3): 0.007751937984496124, (13, 5): 0.007751937984496124, (2, 15): 0.007751937984496124, (9, 5): 0.007751937984496124, (7, 6): 0.007751937984496124, (11, 6): 0.007751937984496124}, {(3, 15): 0.007751937984496124, (6, 9): 0.007751937984496124, (1, 3): 0.007751937984496124, (8, 13): 0.007751937984496124, (11, 11): 0.007751937984496124, (7, 3): 0.007751937984496124, (7, 12): 0.007751937984496124, (9, 8): 0.007751937984496124, (5, 13): 0.007751937984496124, (11, 7): 0.007751937984496124, (10, 15): 0.007751937984496124, (1, 6): 0.007751937984496124, (7, 11): 0.007751937984496124, (1, 11): 0.007751937984496124, (8, 5): 0.007751937984496124, (5, 8): 0.007751937984496124, (13, 13): 0.007751937984496124, (4, 13): 0.007751937984496124, (13, 12): 0.007751937984496124, (6, 7): 0.007751937984496124, (5, 5): 0.007751937984496124, (11, 5): 0.007751937984496124, (10, 7): 0.007751937984496124, (13, 10): 0.007751937984496124, (3, 10): 0.007751937984496124, (6, 10): 0.007751937984496124, (1, 14): 0.007751937984496124, (8, 10): 0.007751937984496124, (4, 8): 0.007751937984496124, (9, 11): 0.007751937984496124, (3, 5): 0.007751937984496124, (6, 15): 0.007751937984496124, (13, 4): 0.007751937984496124, (8, 15): 0.007751937984496124, (11, 13): 0.007751937984496124, (4, 10): 0.007751937984496124, (7, 10): 0.007751937984496124, (5, 11): 0.007751937984496124, (4, 5): 0.007751937984496124, (10, 13): 0.007751937984496124, (9, 3): 0.007751937984496124, (12, 15): 0.007751937984496124, (1, 4): 0.007751937984496124, (7, 7): 0.007751937984496124, (7, 5): 0.007751937984496124, (2, 3): 0.007751937984496124, (1, 9): 0.007751937984496124, (8, 7): 0.007751937984496124, (9, 6): 0.007751937984496124, (6, 5): 0.007751937984496124, (5, 3): 0.007751937984496124, (7, 15): 0.007751937984496124, (10, 5): 0.007751937984496124, (3, 12): 0.007751937984496124, (6, 8): 0.007751937984496124, (1, 12): 0.007751937984496124, (8, 12): 0.007751937984496124, (11, 8): 0.007751937984496124, (4, 15): 0.007751937984496124, (7, 13): 0.007751937984496124, (13, 6): 0.007751937984496124, (9, 9): 0.007751937984496124, (12, 3): 0.007751937984496124, (6, 13): 0.007751937984496124, (1, 7): 0.007751937984496124, (11, 15): 0.007751937984496124, (3, 9): 0.007751937984496124, (13, 11): 0.007751937984496124, (7, 8): 0.007751937984496124, (9, 12): 0.007751937984496124, (13, 7): 0.007751937984496124, (5, 9): 0.007751937984496124, (4, 7): 0.007751937984496124, (10, 11): 0.007751937984496124, (10, 8): 0.007751937984496124, (6, 6): 0.007751937984496124, (5, 6): 0.007751937984496124, (10, 6): 0.007751937984496124, (3, 11): 0.007751937984496124, (1, 15): 0.007751937984496124, (8, 9): 0.007751937984496124, (4, 12): 0.007751937984496124, (13, 8): 0.007751937984496124, (3, 7): 0.007751937984496124, (10, 3): 0.007751937984496124, (11, 10): 0.007751937984496124, (4, 9): 0.007751937984496124, (3, 3): 0.007751937984496124, (9, 15): 0.007751937984496124, (5, 12): 0.007751937984496124, (10, 12): 0.007751937984496124, (6, 3): 0.007751937984496124, (1, 5): 0.007751937984496124, (3, 6): 0.007751937984496124, (1, 10): 0.007751937984496124, (8, 6): 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0.007751937984496124, (11, 6): 0.007751937984496124}]
+1 Stop [{(3, 15): 0.003069838833461241, (6, 9): 0.0005755947812739828, (1, 3): 0.0007674597083653103, (8, 13): 0.006139677666922482, (11, 11): 0.012279355333844964, (7, 3): 0.012279355333844964, (7, 12): 0.0015349194167306205, (9, 8): 0.0015349194167306205, (5, 13): 0.012279355333844964, (11, 7): 0.012279355333844964, (10, 15): 0.006139677666922482, (1, 6): 0.006139677666922482, (7, 11): 0.0007674597083653103, (1, 11): 0.012279355333844964, (8, 5): 0.006139677666922482, (5, 8): 0.0015349194167306205, (13, 13): 0.003069838833461241, (4, 13): 0.02455871066768993, (13, 12): 0.006139677666922482, (6, 7): 0.0015349194167306205, (5, 5): 0.012279355333844964, (11, 5): 0.012279355333844964, (10, 7): 0.006139677666922482, (13, 10): 0.02455871066768993, (3, 10): 0.006139677666922482, (6, 10): 0.0007674597083653103, (1, 14): 0.0015349194167306205, (8, 10): 0.0007674597083653103, (4, 8): 0.003069838833461241, (9, 11): 0.003069838833461241, (3, 5): 0.012279355333844964, (6, 15): 0.02455871066768993, (13, 4): 0.0015349194167306205, (8, 15): 0.02455871066768993, (11, 13): 0.012279355333844964, (4, 10): 0.003069838833461241, (7, 10): 0.0005755947812739828, (5, 11): 0.003069838833461241, (4, 5): 0.02455871066768993, (10, 13): 0.02455871066768993, (9, 3): 0.012279355333844964, (12, 15): 0.0015349194167306205, (1, 4): 0.0015349194167306205, (7, 7): 0.0007674597083653103, (7, 5): 0.003069838833461241, (2, 3): 0.0015349194167306205, (1, 9): 0.012279355333844964, (8, 7): 0.0015349194167306205, (9, 6): 0.006139677666922482, (6, 5): 0.006139677666922482, (5, 3): 0.012279355333844964, (7, 15): 0.012279355333844964, (10, 5): 0.02455871066768993, (3, 12): 0.02455871066768993, (6, 8): 0.0007674597083653103, (1, 12): 0.006139677666922482, (8, 12): 0.003069838833461241, (11, 8): 0.006139677666922482, (4, 15): 0.006139677666922482, (7, 13): 0.003069838833461241, (13, 6): 0.006139677666922482, (9, 9): 0.0007674597083653103, (1, 1): 0.0, (12, 3): 0.0015349194167306205, (6, 13): 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0.003069838833461241, (10, 9): 0.0015349194167306205, (9, 7): 0.003069838833461241, (13, 15): 0.0007674597083653103, (3, 13): 0.012279355333844964, (6, 11): 0.0015349194167306205, (1, 13): 0.003069838833461241, (8, 11): 0.0015349194167306205, (11, 9): 0.003069838833461241, (9, 10): 0.0015349194167306205, (5, 15): 0.012279355333844964, (13, 9): 0.012279355333844964, (6, 12): 0.003069838833461241, (11, 12): 0.02455871066768993, (4, 11): 0.006139677666922482, (7, 9): 0.0, (9, 13): 0.012279355333844964, (8, 3): 0.02455871066768993, (5, 10): 0.0015349194167306205, (4, 6): 0.012279355333844964, (13, 3): 0.0007674597083653103, (10, 10): 0.003069838833461241, (13, 14): 0.0015349194167306205, (5, 7): 0.003069838833461241, (11, 3): 0.003069838833461241, (3, 8): 0.006139677666922482, (1, 8): 0.02455871066768993, (8, 8): 0.0007674597083653103, (4, 3): 0.006139677666922482, (13, 5): 0.003069838833461241, (2, 15): 0.0015349194167306205, (9, 5): 0.012279355333844964, (7, 6): 0.0015349194167306205, (11, 6): 0.02455871066768993}, {(3.0, 15.0): 0.007299927244058466, (6.0, 9.0): 0.0001386986176371109, (1.0, 3.0): 0.0018249818110146164, (8.0, 13.0): 0.003467465440927772, (11.0, 11.0): 0.006934930881855544, (4.0, 8.0): 0.0019162309015653477, (7.0, 12.0): 0.0009581154507826738, (9.0, 8.0): 0.0009124909055073084, (5.0, 13.0): 0.006934930881855544, (11.0, 7.0): 0.006934930881855544, (10.0, 15.0): 0.014599854488116931, (1.0, 6.0): 0.014599854488116931, (7.0, 11.0): 0.00043799563464350804, (1.0, 11.0): 0.029199708976233862, (8.0, 5.0): 0.003467465440927772, (5.0, 8.0): 0.0009124909055073084, (10.0, 8.0): 0.0019162309015653477, (13.0, 12.0): 0.014599854488116931, (6.0, 7.0): 0.0009124909055073084, (5.0, 5.0): 0.006934930881855544, (11.0, 5.0): 0.024333090813528222, (10.0, 7.0): 0.0038324618031306953, (13.0, 10.0): 0.014599854488116931, (3.0, 10.0): 0.003467465440927772, (6.0, 10.0): 0.00041974581653336193, (1.0, 14.0): 0.003649963622029233, (8.0, 10.0): 0.00041974581653336193, (4.0, 13.0): 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(6.0, 11.0): 0.0, (1.0, 13.0): 0.0, (8.0, 11.0): 0.0, (11.0, 9.0): 0.0, (9.0, 10.0): 0.0, (5.0, 15.0): 5.2627958610803515e-12, (13.0, 9.0): 1.9510361880794057e-07, (6.0, 12.0): 0.0, (11.0, 12.0): 0.0, (4.0, 11.0): 0.0, (7.0, 9.0): 0.0, (9.0, 13.0): 0.0, (8.0, 3.0): 0.0, (7.0, 3.0): 0.0, (4.0, 6.0): 0.0, (13.0, 3.0): 3.6675609755490045e-18, (10.0, 10.0): 0.0, (13.0, 14.0): 0.21120667983505495, (5.0, 7.0): 0.0, (11.0, 3.0): 5.73056402429532e-20, (3.0, 8.0): 0.0, (1.0, 8.0): 0.0, (8.0, 8.0): 0.0, (4.0, 3.0): 0.0, (13.0, 5.0): 5.73056402429532e-20, (2.0, 15.0): 0.0, (9.0, 5.0): 0.0, (7.0, 6.0): 0.0, (11.0, 6.0): 0.0}]
+"""
diff --git a/tracking/test_cases/q8/1-ExactFull.test b/tracking/test_cases/q8/1-ExactFull.test
new file mode 100644
index 0000000..38c3c2c
--- /dev/null
+++ b/tracking/test_cases/q8/1-ExactFull.test
@@ -0,0 +1,36 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%%%%%
+%      G      %
+% %%%%%%%%%%% %
+% %         % %
+% %         % %
+% %         % %
+% %         % %
+% %    P    % %
+% %         % %
+% %         % %
+% %         % %
+% %         % %
+% %%%%%%%%%%% %
+%      G      %
+%%%%%%%%%%%%%%%
+% % %%%%%%%%%%%
+%%%%%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "200"
+numParticles: "5000"
+numGhosts: "2"
+ghost: "SeededRandomGhostAgent"
+errorMsg: "Exact inference full test: %d inference errors."
+inference: "ExactInference"
+L2Tolerance: "0.0001"
diff --git a/tracking/test_cases/q8/2-ExactFull.solution b/tracking/test_cases/q8/2-ExactFull.solution
new file mode 100644
index 0000000..48aabca
--- /dev/null
+++ b/tracking/test_cases/q8/2-ExactFull.solution
@@ -0,0 +1,94 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(7, 3): 0.01694915254237288, (1, 3): 0.01694915254237288, (6, 6): 0.01694915254237288, (5, 6): 0.01694915254237288, (14, 4): 0.01694915254237288, (13, 4): 0.01694915254237288, (10, 6): 0.01694915254237288, (18, 4): 0.01694915254237288, (17, 3): 0.01694915254237288, (1, 6): 0.01694915254237288, (9, 4): 0.01694915254237288, (10, 3): 0.01694915254237288, (16, 3): 0.01694915254237288, (17, 6): 0.01694915254237288, (3, 3): 0.01694915254237288, (14, 5): 0.01694915254237288, (13, 3): 0.01694915254237288, (7, 6): 0.01694915254237288, (4, 4): 0.01694915254237288, (12, 6): 0.01694915254237288, (6, 3): 0.01694915254237288, (1, 5): 0.01694915254237288, (16, 6): 0.01694915254237288, (3, 6): 0.01694915254237288, (18, 5): 0.01694915254237288, (15, 4): 0.01694915254237288, (8, 6): 0.01694915254237288, (12, 3): 0.01694915254237288, (6, 4): 0.01694915254237288, (5, 4): 0.01694915254237288, (2, 6): 0.01694915254237288, (11, 4): 0.01694915254237288, (10, 4): 0.01694915254237288, (16, 4): 0.01694915254237288, (15, 3): 0.01694915254237288, (9, 3): 0.01694915254237288, (1, 4): 0.01694915254237288, (14, 6): 0.01694915254237288, (13, 6): 0.01694915254237288, (7, 5): 0.01694915254237288, (2, 3): 0.01694915254237288, (18, 6): 0.01694915254237288, (18, 3): 0.01694915254237288, (9, 6): 0.01694915254237288, (17, 4): 0.01694915254237288, (5, 3): 0.01694915254237288, (8, 3): 0.01694915254237288, (16, 5): 0.01694915254237288, (4, 6): 0.01694915254237288, (11, 3): 0.01694915254237288, (7, 4): 0.01694915254237288, (15, 6): 0.01694915254237288, (12, 4): 0.01694915254237288, (4, 3): 0.01694915254237288, (14, 3): 0.01694915254237288, (3, 4): 0.01694915254237288, (2, 4): 0.01694915254237288, (11, 6): 0.01694915254237288, (8, 4): 0.01694915254237288}, {(7, 3): 0.01694915254237288, (1, 3): 0.01694915254237288, (6, 6): 0.01694915254237288, (5, 6): 0.01694915254237288, (14, 4): 0.01694915254237288, (13, 4): 0.01694915254237288, (10, 6): 0.01694915254237288, (18, 4): 0.01694915254237288, (17, 3): 0.01694915254237288, (1, 6): 0.01694915254237288, (9, 4): 0.01694915254237288, (10, 3): 0.01694915254237288, (16, 3): 0.01694915254237288, (17, 6): 0.01694915254237288, (3, 3): 0.01694915254237288, (14, 5): 0.01694915254237288, (13, 3): 0.01694915254237288, (7, 6): 0.01694915254237288, (4, 4): 0.01694915254237288, (12, 6): 0.01694915254237288, (6, 3): 0.01694915254237288, (1, 5): 0.01694915254237288, (16, 6): 0.01694915254237288, (3, 6): 0.01694915254237288, (18, 5): 0.01694915254237288, (15, 4): 0.01694915254237288, (8, 6): 0.01694915254237288, (12, 3): 0.01694915254237288, (6, 4): 0.01694915254237288, (5, 4): 0.01694915254237288, (2, 6): 0.01694915254237288, (11, 4): 0.01694915254237288, (10, 4): 0.01694915254237288, (16, 4): 0.01694915254237288, (15, 3): 0.01694915254237288, (9, 3): 0.01694915254237288, (1, 4): 0.01694915254237288, (14, 6): 0.01694915254237288, (13, 6): 0.01694915254237288, (7, 5): 0.01694915254237288, (2, 3): 0.01694915254237288, (18, 6): 0.01694915254237288, (18, 3): 0.01694915254237288, (9, 6): 0.01694915254237288, (17, 4): 0.01694915254237288, (5, 3): 0.01694915254237288, (8, 3): 0.01694915254237288, (16, 5): 0.01694915254237288, (4, 6): 0.01694915254237288, (11, 3): 0.01694915254237288, (7, 4): 0.01694915254237288, (15, 6): 0.01694915254237288, (12, 4): 0.01694915254237288, (4, 3): 0.01694915254237288, (14, 3): 0.01694915254237288, (3, 4): 0.01694915254237288, (2, 4): 0.01694915254237288, (11, 6): 0.01694915254237288, (8, 4): 0.01694915254237288}, {(7, 3): 0.01694915254237288, (1, 3): 0.01694915254237288, (6, 6): 0.01694915254237288, (5, 6): 0.01694915254237288, (14, 4): 0.01694915254237288, (13, 4): 0.01694915254237288, (10, 6): 0.01694915254237288, (18, 4): 0.01694915254237288, (17, 3): 0.01694915254237288, (1, 6): 0.01694915254237288, (9, 4): 0.01694915254237288, (10, 3): 0.01694915254237288, (16, 3): 0.01694915254237288, (17, 6): 0.01694915254237288, (3, 3): 0.01694915254237288, (14, 5): 0.01694915254237288, (13, 3): 0.01694915254237288, (7, 6): 0.01694915254237288, (4, 4): 0.01694915254237288, (12, 6): 0.01694915254237288, (6, 3): 0.01694915254237288, (1, 5): 0.01694915254237288, (16, 6): 0.01694915254237288, (3, 6): 0.01694915254237288, (18, 5): 0.01694915254237288, (15, 4): 0.01694915254237288, (8, 6): 0.01694915254237288, (12, 3): 0.01694915254237288, (6, 4): 0.01694915254237288, (5, 4): 0.01694915254237288, (2, 6): 0.01694915254237288, (11, 4): 0.01694915254237288, (10, 4): 0.01694915254237288, (16, 4): 0.01694915254237288, (15, 3): 0.01694915254237288, (9, 3): 0.01694915254237288, (1, 4): 0.01694915254237288, (14, 6): 0.01694915254237288, (13, 6): 0.01694915254237288, (7, 5): 0.01694915254237288, (2, 3): 0.01694915254237288, (18, 6): 0.01694915254237288, (18, 3): 0.01694915254237288, (9, 6): 0.01694915254237288, (17, 4): 0.01694915254237288, (5, 3): 0.01694915254237288, (8, 3): 0.01694915254237288, (16, 5): 0.01694915254237288, (4, 6): 0.01694915254237288, (11, 3): 0.01694915254237288, (7, 4): 0.01694915254237288, (15, 6): 0.01694915254237288, (12, 4): 0.01694915254237288, (4, 3): 0.01694915254237288, (14, 3): 0.01694915254237288, (3, 4): 0.01694915254237288, (2, 4): 0.01694915254237288, (11, 6): 0.01694915254237288, (8, 4): 0.01694915254237288}, {(7, 3): 0.01694915254237288, (1, 3): 0.01694915254237288, (6, 6): 0.01694915254237288, (5, 6): 0.01694915254237288, (14, 4): 0.01694915254237288, (13, 4): 0.01694915254237288, (10, 6): 0.01694915254237288, (18, 4): 0.01694915254237288, (17, 3): 0.01694915254237288, (1, 6): 0.01694915254237288, (9, 4): 0.01694915254237288, (10, 3): 0.01694915254237288, (16, 3): 0.01694915254237288, (17, 6): 0.01694915254237288, (3, 3): 0.01694915254237288, (14, 5): 0.01694915254237288, (13, 3): 0.01694915254237288, (7, 6): 0.01694915254237288, (4, 4): 0.01694915254237288, (12, 6): 0.01694915254237288, (6, 3): 0.01694915254237288, (1, 5): 0.01694915254237288, (16, 6): 0.01694915254237288, (3, 6): 0.01694915254237288, (18, 5): 0.01694915254237288, (15, 4): 0.01694915254237288, (8, 6): 0.01694915254237288, (12, 3): 0.01694915254237288, (6, 4): 0.01694915254237288, (5, 4): 0.01694915254237288, (2, 6): 0.01694915254237288, (11, 4): 0.01694915254237288, (10, 4): 0.01694915254237288, (16, 4): 0.01694915254237288, (15, 3): 0.01694915254237288, (9, 3): 0.01694915254237288, (1, 4): 0.01694915254237288, (14, 6): 0.01694915254237288, (13, 6): 0.01694915254237288, (7, 5): 0.01694915254237288, (2, 3): 0.01694915254237288, (18, 6): 0.01694915254237288, (18, 3): 0.01694915254237288, (9, 6): 0.01694915254237288, (17, 4): 0.01694915254237288, (5, 3): 0.01694915254237288, (8, 3): 0.01694915254237288, (16, 5): 0.01694915254237288, (4, 6): 0.01694915254237288, (11, 3): 0.01694915254237288, (7, 4): 0.01694915254237288, (15, 6): 0.01694915254237288, (12, 4): 0.01694915254237288, (4, 3): 0.01694915254237288, (14, 3): 0.01694915254237288, (3, 4): 0.01694915254237288, (2, 4): 0.01694915254237288, (11, 6): 0.01694915254237288, (8, 4): 0.01694915254237288}]
+1 Stop [{(7, 3): 0.05293631100082715, (1, 3): 0.003308519437551697, (6, 6): 0.013234077750206788, (5, 6): 0.006617038875103394, (14, 4): 0.0008271298593879242, (13, 4): 0.0016542597187758485, (10, 6): 0.05293631100082715, (18, 4): 0.0, (17, 3): 0.0, (1, 6): 0.0, (9, 4): 0.026468155500413575, (10, 3): 0.006617038875103394, (16, 3): 0.0, (17, 6): 0.0, (3, 3): 0.013234077750206788, (14, 5): 0.0016542597187758485, (13, 3): 0.0008271298593879242, (7, 6): 0.026468155500413575, (4, 4): 0.013234077750206788, (12, 6): 0.013234077750206788, (6, 3): 0.1058726220016543, (1, 5): 0.0008271298593879242, (16, 6): 0.0008271298593879242, (3, 6): 0.0016542597187758485, (18, 5): 0.0, (15, 4): 0.0, (8, 6): 0.05293631100082715, (1, 1): 0.0, (12, 3): 0.0016542597187758485, (6, 4): 0.05293631100082715, (5, 4): 0.026468155500413575, (2, 6): 0.0008271298593879242, (11, 4): 0.006617038875103394, (10, 4): 0.013234077750206788, (16, 4): 0.0, (15, 3): 0.0, (9, 3): 0.013234077750206788, (1, 4): 0.0016542597187758485, (14, 6): 0.003308519437551697, (13, 6): 0.006617038875103394, (7, 5): 0.05293631100082715, (2, 3): 0.006617038875103394, (18, 6): 0.0, (18, 3): 0.0, (9, 6): 0.1058726220016543, (17, 4): 0.0, (5, 3): 0.05293631100082715, (8, 3): 0.026468155500413575, (16, 5): 0.0, (4, 6): 0.003308519437551697, (11, 3): 0.003308519437551697, (7, 4): 0.1058726220016543, (15, 6): 0.0016542597187758485, (12, 4): 0.003308519437551697, (4, 3): 0.026468155500413575, (14, 3): 0.0, (3, 4): 0.006617038875103394, (2, 4): 0.003308519437551697, (11, 6): 0.026468155500413575, (8, 4): 0.05293631100082715}, {(7.0, 3.0): 0.1031416548467813, (1.0, 3.0): 0.0014136739973517171, (6.0, 6.0): 0.006220165588347556, (5.0, 6.0): 0.0033928175936441215, (14.0, 4.0): 0.002177057955921645, (13.0, 4.0): 0.0032231767139619164, (10.0, 6.0): 0.10857016299661189, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 0.0, (9.0, 4.0): 0.054285081498305944, (10.0, 3.0): 0.013571270374576486, (16.0, 3.0): 0.0, (17.0, 6.0): 0.0007775206985434445, (3.0, 3.0): 0.006785635187288243, (14.0, 5.0): 0.002657707115021229, (13.0, 3.0): 0.0016964087968220608, (7.0, 6.0): 0.01696408796822061, (4.0, 4.0): 0.006785635187288243, (12.0, 6.0): 0.027142540749152972, (6.0, 3.0): 0.054285081498305944, (1.0, 5.0): 0.0, (16.0, 6.0): 0.0021205109960275763, (3.0, 6.0): 0.0007539594652542494, (18.0, 5.0): 0.0, (15.0, 4.0): 0.0007633839585699274, (8.0, 6.0): 0.024880662353390225, (12.0, 3.0): 0.0033928175936441215, (6.0, 4.0): 0.02578541371169533, (5.0, 4.0): 0.013571270374576486, (2.0, 6.0): 0.0, (11.0, 4.0): 0.013571270374576486, (10.0, 4.0): 0.027142540749152972, (16.0, 4.0): 0.0, (15.0, 3.0): 0.0, (9.0, 3.0): 0.027142540749152972, (1.0, 4.0): 0.000895326864989421, (14.0, 6.0): 0.008482043984110305, (13.0, 6.0): 0.012440331176695112, (7.0, 5.0): 0.021261656920169833, (2.0, 3.0): 0.0036755523931144645, (18.0, 6.0): 0.0, (18.0, 3.0): 0.0, (9.0, 6.0): 0.054285081498305944, (17.0, 4.0): 0.0, (5.0, 3.0): 0.027142540749152972, (8.0, 3.0): 0.054285081498305944, (16.0, 5.0): 0.0006644267787553073, (4.0, 6.0): 0.0016964087968220608, (3, 1): 0.0, (11.0, 3.0): 0.006785635187288243, (7.0, 4.0): 0.06966585458949263, (15.0, 6.0): 0.0028273479947034342, (12.0, 4.0): 0.006785635187288243, (4.0, 3.0): 0.013571270374576486, (14.0, 3.0): 0.0008057941784904789, (3.0, 4.0): 0.0033928175936441215, (2.0, 4.0): 0.0016964087968220608, (11.0, 6.0): 0.054285081498305944, (8.0, 4.0): 0.1031416548467813}, {(7.0, 3.0): 0.01281510833825141, (1.0, 3.0): 0.0, (6.0, 6.0): 0.00077284096338139, (5.0, 6.0): 0.0, (14.0, 4.0): 0.017311637579743133, (13.0, 4.0): 0.02563021667650283, (10.0, 6.0): 0.01348958772447517, (18.0, 4.0): 0.0009836157715763143, (17.0, 3.0): 0.0009133575021780064, (1.0, 6.0): 0.0, (9.0, 4.0): 0.02697917544895034, (5, 1): 0.0, (10.0, 3.0): 0.10791670179580136, (16.0, 3.0): 0.0016018885422814262, (17.0, 6.0): 0.00618272770705112, (3.0, 3.0): 0.0008430992327796981, (14.0, 5.0): 0.021133687435011102, (13.0, 3.0): 0.01348958772447517, (7.0, 6.0): 0.002107748081949245, (4.0, 4.0): 0.0008430992327796981, (12.0, 6.0): 0.05395835089790068, (6.0, 3.0): 0.006744793862237585, (1.0, 5.0): 0.0, (16.0, 6.0): 0.01686198465559396, (3.0, 6.0): 0.0, (18.0, 5.0): 0.00154568192676278, (15.0, 4.0): 0.006070314476013827, (8.0, 6.0): 0.00309136385352556, (12.0, 3.0): 0.02697917544895034, (6.0, 4.0): 0.0032037770845628538, (5.0, 4.0): 0.0016861984655593962, (2.0, 6.0): 0.0, (11.0, 4.0): 0.10791670179580136, (10.0, 4.0): 0.05395835089790068, (16.0, 4.0): 0.004327909394935783, (15.0, 3.0): 0.0033723969311187925, (9.0, 3.0): 0.05395835089790068, (1.0, 4.0): 0.0, (14.0, 6.0): 0.06744793862237584, (13.0, 6.0): 0.09892364331281792, (7.0, 5.0): 0.0026417109293763877, (2.0, 3.0): 0.0, (18.0, 6.0): 0.0033723969311187925, (18.0, 3.0): 0.0, (9.0, 6.0): 0.006744793862237585, (17.0, 4.0): 0.0016018885422814262, (5.0, 3.0): 0.0033723969311187925, (8.0, 3.0): 0.02697917544895034, (16.0, 5.0): 0.0052834218587527754, (4.0, 6.0): 0.0, (11.0, 3.0): 0.05395835089790068, (7.0, 4.0): 0.008655818789871567, (15.0, 6.0): 0.02248264620745861, (12.0, 4.0): 0.05395835089790068, (4.0, 3.0): 0.0016861984655593962, (14.0, 3.0): 0.006407554169125705, (3.0, 4.0): 0.0, (2.0, 4.0): 0.0, (11.0, 6.0): 0.02697917544895034, (8.0, 4.0): 0.01281510833825141}, {(7.0, 3.0): 0.0, (1.0, 3.0): 0.0, (6.0, 6.0): 0.0, (5.0, 6.0): 0.0, (14.0, 4.0): 0.03634647156006608, (13.0, 4.0): 0.01345291479820628, (10.0, 6.0): 0.0, (18.0, 4.0): 0.03304224687278735, (17.0, 3.0): 0.030682086381873967, (1.0, 6.0): 0.0, (9.0, 4.0): 0.0008850601840925182, (10.0, 3.0): 0.0035402407363700726, (16.0, 3.0): 0.0538116591928251, (17.0, 6.0): 0.0519235308000944, (3.0, 3.0): 0.0, (14.0, 5.0): 0.011092754307292896, (13.0, 3.0): 0.02832192589096058, (7.0, 6.0): 0.0, (4.0, 4.0): 0.0, (12.0, 6.0): 0.0017701203681850363, (16.0, 4.0): 0.14538588624026433, (6.0, 3.0): 0.0, (1.0, 5.0): 0.0, (16.0, 6.0): 0.035402407363700726, (3.0, 6.0): 0.0, (18.0, 5.0): 0.0519235308000944, 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+2 East [{(7.0, 3.0): 0.06994482000406335, (1.0, 3.0): 0.0002053629059555577, (6.0, 6.0): 0.0034286676472580066, (5.0, 6.0): 0.0010000280637835854, (14.0, 4.0): 1.8304085096038837e-05, (13.0, 4.0): 5.2233608688696193e-05, (10.0, 6.0): 0.06400179608214947, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 0.0, (9.0, 4.0): 0.013714670589032026, (10.0, 3.0): 0.00117860450374494, (16.0, 3.0): 0.0, (17.0, 6.0): 0.0, (3.0, 3.0): 0.0034286676472580066, (14.0, 5.0): 5.000140318917927e-05, (13.0, 3.0): 1.674154124637699e-05, (7.0, 6.0): 0.02400067353080605, (4.0, 4.0): 0.00471441801497976, (12.0, 6.0): 0.004000112255134342, (6.0, 3.0): 0.1371467058903203, (1.0, 5.0): 7.006645040150368e-06, (16.0, 6.0): 1.2277130247343124e-05, (3.0, 6.0): 5.952547998711818e-05, (18.0, 5.0): 0.0, (15.0, 4.0): 0.0, (8.0, 6.0): 0.06171601765064413, (1, 1): 0.0, (12.0, 3.0): 7.366278148405875e-05, (6.0, 4.0): 0.06994482000406335, (5.0, 4.0): 0.01885767205991904, (2.0, 6.0): 7.93673066494909e-06, (11.0, 4.0): 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+3 Stop [{(7.0, 3.0): 0.1430682121123917, (1.0, 3.0): 3.1347187733338494e-05, (6.0, 6.0): 0.0007508380032052091, (5.0, 6.0): 7.831192549353691e-05, (14.0, 4.0): 3.3529161229914143e-06, (13.0, 4.0): 1.4959221721899958e-05, (10.0, 6.0): 0.12120533982950839, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 0.0, (9.0, 4.0): 0.05722820306722811, (10.0, 3.0): 0.0019314948951879225, (16.0, 3.0): 0.0, (17.0, 6.0): 1.5412055947559155e-07, (3.0, 3.0): 0.0004824253730785061, (14.0, 5.0): 1.7533502097140753e-05, (13.0, 3.0): 3.5812013638146544e-06, (7.0, 6.0): 0.00871928565250788, (4.0, 4.0): 0.0009657474475939611, (12.0, 6.0): 0.011229093194432044, (6.0, 3.0): 0.06666293690622961, (1.0, 5.0): 5.723736602746716e-07, (16.0, 6.0): 2.026918873103234e-06, (3.0, 6.0): 0.0, (18.0, 5.0): 0.0, (15.0, 4.0): 1.8382379457452372e-07, (8.0, 6.0): 0.03026307569606728, (1, 1): 0.0, (12.0, 3.0): 3.009554197759733e-05, (6.0, 4.0): 0.03576705302809793, (5.0, 4.0): 0.007450512899320988, (2.0, 6.0): 0.0, (11.0, 4.0): 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+5 West [{(7.0, 3.0): 0.063018172861934, (1.0, 3.0): 1.821186847257114e-05, (6.0, 6.0): 0.0016249328516104767, (5.0, 6.0): 6.549275212556464e-05, (14.0, 4.0): 7.419749689603374e-09, (13.0, 4.0): 8.845114444964921e-08, (10.0, 6.0): 0.056659848329843214, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 1.493291622354184e-08, (9.0, 4.0): 0.008795742565748223, (10.0, 3.0): 0.0003194856696472599, (16.0, 3.0): 0.0, (17.0, 6.0): 0.0, (3.0, 3.0): 0.0005789575870045082, (14.0, 5.0): 1.616311942137011e-07, (13.0, 3.0): 9.899836520195056e-09, (7.0, 6.0): 0.027950098092844298, (4.0, 4.0): 0.0019107036090431015, (12.0, 6.0): 0.0023240040334119006, (6.0, 3.0): 0.1517759431313638, (1.0, 5.0): 3.4242025535981085e-07, (16.0, 6.0): 4.793790232402112e-09, (3.0, 6.0): 0.0, (18.0, 5.0): 0.0, (15.0, 4.0): 0.0, (8.0, 6.0): 0.0655469808937817, (1, 1): 0.0, (12.0, 3.0): 3.3136124183813283e-07, (6.0, 4.0): 0.07259058327076967, (5.0, 4.0): 0.02328649818344545, (2.0, 6.0): 4.086585181654231e-10, (11.0, 4.0): 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+10 West [{(7.0, 3.0): 0.050266054729874624, (1.0, 3.0): 3.376503632978608e-05, (6.0, 6.0): 0.0026458168675455975, (5.0, 6.0): 9.65497088403558e-05, (14.0, 4.0): 0.0, (13.0, 4.0): 0.0, (10.0, 6.0): 0.04664008125294115, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 9.604884564241188e-09, (9.0, 4.0): 0.0062269580352064015, (10.0, 3.0): 0.00015430378589059447, (16.0, 3.0): 0.0, (17.0, 6.0): 0.0, (3.0, 3.0): 0.0008331579754979352, (14.0, 5.0): 0.0, (13.0, 3.0): 0.0, (7.0, 6.0): 0.06668033766363408, (4.0, 4.0): 0.0029123321478358426, (12.0, 6.0): 0.0017849200738886144, (6.0, 3.0): 0.06465462767423162, (1.0, 5.0): 3.9724874268360236e-07, (16.0, 6.0): 0.0, (3.0, 6.0): 2.729331077739527e-08, (18.0, 5.0): 0.0, (15.0, 4.0): 0.0, (8.0, 6.0): 0.12255839337792071, (1, 1): 0.0, (12.0, 3.0): 0.0, (6.0, 4.0): 0.15399821347330742, (5.0, 4.0): 0.055462955350903946, (2.0, 6.0): 0.0, (11.0, 4.0): 3.4244614858079225e-05, (10.0, 4.0): 0.0007549301439170381, (16.0, 4.0): 0.0, (15.0, 3.0): 0.0, (9.0, 3.0): 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+21 Stop [{(7.0, 3.0): 0.04555394844541496, (1.0, 3.0): 0.0, (6.0, 6.0): 0.16903510129304058, (5.0, 6.0): 0.01779804461028923, (14.0, 4.0): 2.018713144592638e-09, (13.0, 4.0): 1.0397490433407591e-06, (10.0, 6.0): 0.0046644195487335295, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 4.51443362417201e-10, (9.0, 4.0): 0.036549317980724624, (10.0, 3.0): 0.0037015706545952946, (16.0, 3.0): 0.0, (17.0, 6.0): 0.0, (3.0, 3.0): 7.687306312278325e-06, (14.0, 5.0): 1.1199467043506843e-09, (13.0, 3.0): 5.5772513470958325e-08, (7.0, 6.0): 0.1762569990267041, (4.0, 4.0): 8.824709448822535e-05, (12.0, 6.0): 3.683564482673807e-05, (6.0, 3.0): 0.010349521487139024, (1.0, 5.0): 1.280443750418623e-12, (16.0, 6.0): 0.0, (3.0, 6.0): 1.6191330824916765e-05, (18.0, 5.0): 0.0, (15.0, 4.0): 2.72677926200421e-12, (8.0, 6.0): 0.07735481374252497, (1, 1): 0.0, (12.0, 3.0): 2.5675783479150583e-05, (6.0, 4.0): 0.007367045644591632, (5.0, 4.0): 0.0010950102627257366, (2.0, 6.0): 1.0431852822777387e-07, (11.0, 4.0): 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+89 East [{(7.0, 3.0): 0.0, (1.0, 3.0): 0.0, (6.0, 6.0): 0.0, (5.0, 6.0): 0.0, (14.0, 4.0): 0.0, (13.0, 4.0): 0.0, (10.0, 6.0): 0.0, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 0.0, (9.0, 4.0): 0.0, (10.0, 3.0): 0.0, (16.0, 3.0): 0.0, (17.0, 6.0): 0.0, (3.0, 3.0): 0.0, (14.0, 5.0): 0.0, (13.0, 3.0): 0.0, (7.0, 6.0): 0.0, (4.0, 4.0): 0.0, (12.0, 6.0): 0.0, (6.0, 3.0): 0.0, (1.0, 5.0): 0.0, (16.0, 6.0): 0.0, (3.0, 6.0): 0.0, (18.0, 5.0): 0.0, (15.0, 4.0): 0.0, (8.0, 6.0): 0.0, (1, 1): 1.0, (12.0, 3.0): 0.0, (6.0, 4.0): 0.0, (5.0, 4.0): 0.0, (2.0, 6.0): 0.0, (11.0, 4.0): 0.0, (10.0, 4.0): 0.0, (16.0, 4.0): 0.0, (15.0, 3.0): 0.0, (9.0, 3.0): 0.0, (1.0, 4.0): 0.0, (14.0, 6.0): 0.0, (13.0, 6.0): 0.0, (7.0, 5.0): 0.0, (2.0, 3.0): 0.0, (18.0, 6.0): 0.0, (18.0, 3.0): 0.0, (9.0, 6.0): 0.0, (17.0, 4.0): 0.0, (5.0, 3.0): 0.0, (8.0, 3.0): 0.0, (16.0, 5.0): 0.0, (4.0, 6.0): 0.0, (11.0, 3.0): 0.0, (7.0, 4.0): 0.0, (15.0, 6.0): 0.0, (12.0, 4.0): 0.0, (4.0, 3.0): 0.0, (14.0, 3.0): 0.0, (3.0, 4.0): 0.0, (2.0, 4.0): 0.0, (11.0, 6.0): 0.0, (8.0, 4.0): 0.0}, {(7.0, 3.0): 0.0, (1.0, 3.0): 0.0, (6.0, 6.0): 0.0, (5.0, 6.0): 0.0, (14.0, 4.0): 0.0, (13.0, 4.0): 0.0, (10.0, 6.0): 0.0, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 0.0, (9.0, 4.0): 0.0, (10.0, 3.0): 0.0, (16.0, 3.0): 0.0, (17.0, 6.0): 0.0, (3.0, 3.0): 0.0, (14.0, 5.0): 0.0, (13.0, 3.0): 0.0, (7.0, 6.0): 0.0, (4.0, 4.0): 0.0, (12.0, 6.0): 0.0, (6.0, 3.0): 0.0, (1.0, 5.0): 0.0, (16.0, 6.0): 0.0, (3.0, 6.0): 0.0, (18.0, 5.0): 0.0, (15.0, 4.0): 0.0, (8.0, 6.0): 0.0, (12.0, 3.0): 0.0, (6.0, 4.0): 0.0, (5.0, 4.0): 0.0, (2.0, 6.0): 0.0, (11.0, 4.0): 0.0, (10.0, 4.0): 0.0, (16.0, 4.0): 0.0, (15.0, 3.0): 0.0, (9.0, 3.0): 0.0, (1.0, 4.0): 0.0, (14.0, 6.0): 0.0, (13.0, 6.0): 0.0, (7.0, 5.0): 0.0, (2.0, 3.0): 0.0, (18.0, 6.0): 0.0, (18.0, 3.0): 0.0, (9.0, 6.0): 0.0, (17.0, 4.0): 0.0, (5.0, 3.0): 0.0, (8.0, 3.0): 0.0, (16.0, 5.0): 0.0, (4.0, 6.0): 0.0, (3, 1): 1.0, (11.0, 3.0): 0.0, (7.0, 4.0): 0.0, (15.0, 6.0): 0.0, (12.0, 4.0): 0.0, (4.0, 3.0): 0.0, (14.0, 3.0): 0.0, (3.0, 4.0): 0.0, (2.0, 4.0): 0.0, (11.0, 6.0): 0.0, (8.0, 4.0): 0.0}, {(7.0, 3.0): 0.0001640389654173419, (1.0, 3.0): 0.0013808278029523438, (6.0, 6.0): 0.1317101435754646, (5.0, 6.0): 0.24469974963074018, (14.0, 4.0): 0.0, (13.0, 4.0): 0.0, (10.0, 6.0): 4.294347217687128e-05, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 0.00012334850917115385, (9.0, 4.0): 0.0, (5, 1): 0.0, (10.0, 3.0): 0.0, (16.0, 3.0): 0.0, (17.0, 6.0): 0.0, (3.0, 3.0): 0.017968722728186465, (14.0, 5.0): 0.0, (13.0, 3.0): 0.0, (7.0, 6.0): 0.055454667130248894, (4.0, 4.0): 0.03467843083094633, (12.0, 6.0): 0.0, (6.0, 3.0): 0.000979490233342228, (1.0, 5.0): 0.0006962675842460835, (16.0, 6.0): 0.0, (3.0, 6.0): 0.13493985475326747, (18.0, 5.0): 0.0, (15.0, 4.0): 0.0, (8.0, 6.0): 0.007041706802195832, (12.0, 3.0): 0.0, (6.0, 4.0): 0.0036408098940615458, (5.0, 4.0): 0.01564810024412323, (2.0, 6.0): 0.0, (11.0, 4.0): 0.0, (10.0, 4.0): 0.0, (16.0, 4.0): 0.0, (15.0, 3.0): 0.0, (9.0, 3.0): 0.0, (1.0, 4.0): 0.008589370027438778, (14.0, 6.0): 0.0, (13.0, 6.0): 0.0, (7.0, 5.0): 0.007673379643255575, (2.0, 3.0): 0.024279234209330616, (18.0, 6.0): 0.0, (18.0, 3.0): 0.0, (9.0, 6.0): 0.0007682675336765086, (17.0, 4.0): 0.0, (5.0, 3.0): 0.004473023634761869, (8.0, 3.0): 0.0, (16.0, 5.0): 0.0, (4.0, 6.0): 0.18494722561380023, (11.0, 3.0): 0.0, (7.0, 4.0): 0.0015745813134515716, (15.0, 6.0): 0.0, (12.0, 4.0): 0.0, (4.0, 3.0): 0.01566739873667843, (14.0, 3.0): 0.0, (3.0, 4.0): 0.06345865578053916, (2.0, 4.0): 0.03930565244034836, (11.0, 6.0): 0.0, (8.0, 4.0): 9.410891017863687e-05}, {(7.0, 3.0): 0.0, (1.0, 3.0): 0.0, (6.0, 6.0): 0.0, (5.0, 6.0): 0.0, (14.0, 4.0): 0.0, (13.0, 4.0): 0.0, (10.0, 6.0): 0.0, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 0.0, (9.0, 4.0): 0.0, (10.0, 3.0): 0.0, (16.0, 3.0): 0.0, (17.0, 6.0): 0.0, (3.0, 3.0): 0.0, (14.0, 5.0): 0.0, (13.0, 3.0): 0.0, (7.0, 6.0): 0.0, (4.0, 4.0): 0.0, (12.0, 6.0): 0.0, (16.0, 4.0): 0.0, (6.0, 3.0): 0.0, (1.0, 5.0): 0.0, (16.0, 6.0): 0.0, (3.0, 6.0): 0.0, (18.0, 5.0): 0.0, (15.0, 4.0): 0.0, (8.0, 6.0): 0.0, (12.0, 3.0): 0.0, (6.0, 4.0): 0.0, (5.0, 4.0): 0.0, (2.0, 6.0): 0.0, (11.0, 4.0): 0.0, (10.0, 4.0): 0.0, (7, 1): 1.0, (15.0, 3.0): 0.0, (9.0, 3.0): 0.0, (1.0, 4.0): 0.0, (14.0, 6.0): 0.0, (13.0, 6.0): 0.0, (7.0, 5.0): 0.0, (2.0, 3.0): 0.0, (18.0, 6.0): 0.0, (18.0, 3.0): 0.0, (9.0, 6.0): 0.0, (17.0, 4.0): 0.0, (5.0, 3.0): 0.0, (8.0, 3.0): 0.0, (16.0, 5.0): 0.0, (4.0, 6.0): 0.0, (11.0, 3.0): 0.0, (7.0, 4.0): 0.0, (15.0, 6.0): 0.0, (12.0, 4.0): 0.0, (4.0, 3.0): 0.0, (14.0, 3.0): 0.0, (3.0, 4.0): 0.0, (2.0, 4.0): 0.0, (11.0, 6.0): 0.0, (8.0, 4.0): 0.0}]
+90 Stop [{(7.0, 3.0): 0.0, (1.0, 3.0): 0.0, (6.0, 6.0): 0.0, (5.0, 6.0): 0.0, (14.0, 4.0): 0.0, (13.0, 4.0): 0.0, (10.0, 6.0): 0.0, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 0.0, (9.0, 4.0): 0.0, (10.0, 3.0): 0.0, (16.0, 3.0): 0.0, (17.0, 6.0): 0.0, (3.0, 3.0): 0.0, (14.0, 5.0): 0.0, (13.0, 3.0): 0.0, (7.0, 6.0): 0.0, (4.0, 4.0): 0.0, (12.0, 6.0): 0.0, (6.0, 3.0): 0.0, (1.0, 5.0): 0.0, (16.0, 6.0): 0.0, (3.0, 6.0): 0.0, (18.0, 5.0): 0.0, (15.0, 4.0): 0.0, (8.0, 6.0): 0.0, (1, 1): 1.0, (12.0, 3.0): 0.0, (6.0, 4.0): 0.0, (5.0, 4.0): 0.0, (2.0, 6.0): 0.0, (11.0, 4.0): 0.0, (10.0, 4.0): 0.0, (16.0, 4.0): 0.0, (15.0, 3.0): 0.0, (9.0, 3.0): 0.0, (1.0, 4.0): 0.0, (14.0, 6.0): 0.0, (13.0, 6.0): 0.0, (7.0, 5.0): 0.0, (2.0, 3.0): 0.0, (18.0, 6.0): 0.0, (18.0, 3.0): 0.0, (9.0, 6.0): 0.0, (17.0, 4.0): 0.0, (5.0, 3.0): 0.0, (8.0, 3.0): 0.0, (16.0, 5.0): 0.0, (4.0, 6.0): 0.0, (11.0, 3.0): 0.0, (7.0, 4.0): 0.0, (15.0, 6.0): 0.0, (12.0, 4.0): 0.0, (4.0, 3.0): 0.0, (14.0, 3.0): 0.0, (3.0, 4.0): 0.0, (2.0, 4.0): 0.0, (11.0, 6.0): 0.0, (8.0, 4.0): 0.0}, {(7.0, 3.0): 0.0, (1.0, 3.0): 0.0, (6.0, 6.0): 0.0, (5.0, 6.0): 0.0, (14.0, 4.0): 0.0, (13.0, 4.0): 0.0, (10.0, 6.0): 0.0, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 0.0, (9.0, 4.0): 0.0, (10.0, 3.0): 0.0, (16.0, 3.0): 0.0, (17.0, 6.0): 0.0, (3.0, 3.0): 0.0, (14.0, 5.0): 0.0, (13.0, 3.0): 0.0, (7.0, 6.0): 0.0, (4.0, 4.0): 0.0, (12.0, 6.0): 0.0, (6.0, 3.0): 0.0, (1.0, 5.0): 0.0, (16.0, 6.0): 0.0, (3.0, 6.0): 0.0, (18.0, 5.0): 0.0, (15.0, 4.0): 0.0, (8.0, 6.0): 0.0, (12.0, 3.0): 0.0, (6.0, 4.0): 0.0, (5.0, 4.0): 0.0, (2.0, 6.0): 0.0, (11.0, 4.0): 0.0, (10.0, 4.0): 0.0, (16.0, 4.0): 0.0, (15.0, 3.0): 0.0, (9.0, 3.0): 0.0, (1.0, 4.0): 0.0, (14.0, 6.0): 0.0, (13.0, 6.0): 0.0, (7.0, 5.0): 0.0, (2.0, 3.0): 0.0, (18.0, 6.0): 0.0, (18.0, 3.0): 0.0, (9.0, 6.0): 0.0, (17.0, 4.0): 0.0, (5.0, 3.0): 0.0, (8.0, 3.0): 0.0, (16.0, 5.0): 0.0, (4.0, 6.0): 0.0, (3, 1): 1.0, (11.0, 3.0): 0.0, (7.0, 4.0): 0.0, (15.0, 6.0): 0.0, (12.0, 4.0): 0.0, (4.0, 3.0): 0.0, (14.0, 3.0): 0.0, (3.0, 4.0): 0.0, (2.0, 4.0): 0.0, (11.0, 6.0): 0.0, (8.0, 4.0): 0.0}, {(7.0, 3.0): 0.0, (1.0, 3.0): 0.0, (6.0, 6.0): 0.0, (5.0, 6.0): 0.0, (14.0, 4.0): 0.0, (13.0, 4.0): 0.0, (10.0, 6.0): 0.0, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 0.0, (9.0, 4.0): 0.0, (5, 1): 0.0, (10.0, 3.0): 0.0, (16.0, 3.0): 0.0, (17.0, 6.0): 0.0, (3.0, 3.0): 0.0, (14.0, 5.0): 0.0, (13.0, 3.0): 0.0, (7.0, 6.0): 0.0, (4.0, 4.0): 0.0, (12.0, 6.0): 0.0, (6.0, 3.0): 0.0, (1.0, 5.0): 0.0, (16.0, 6.0): 0.0, (3.0, 6.0): 0.0, (18.0, 5.0): 0.0, (15.0, 4.0): 0.0, (8.0, 6.0): 0.0, (12.0, 3.0): 0.0, (6.0, 4.0): 0.0, (5.0, 4.0): 0.0, (2.0, 6.0): 0.0, (11.0, 4.0): 0.0, (10.0, 4.0): 0.0, (16.0, 4.0): 0.0, (15.0, 3.0): 0.0, (9.0, 3.0): 0.0, (1.0, 4.0): 0.0, (14.0, 6.0): 0.0, (13.0, 6.0): 0.0, (7.0, 5.0): 0.0, (2.0, 3.0): 0.0, (18.0, 6.0): 0.0, (18.0, 3.0): 0.0, (9.0, 6.0): 0.0, (17.0, 4.0): 0.0, (5.0, 3.0): 0.0, (8.0, 3.0): 0.0, (16.0, 5.0): 0.0, (4.0, 6.0): 0.0, (11.0, 3.0): 0.0, (7.0, 4.0): 0.0, (15.0, 6.0): 0.0, (12.0, 4.0): 0.0, (4.0, 3.0): 0.0, (14.0, 3.0): 0.0, (3.0, 4.0): 0.0, (2.0, 4.0): 0.0, (11.0, 6.0): 0.0, (8.0, 4.0): 0.0}, {(7.0, 3.0): 0.0, (1.0, 3.0): 0.0, (6.0, 6.0): 0.0, (5.0, 6.0): 0.0, (14.0, 4.0): 0.0, (13.0, 4.0): 0.0, (10.0, 6.0): 0.0, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 0.0, (9.0, 4.0): 0.0, (10.0, 3.0): 0.0, (16.0, 3.0): 0.0, (17.0, 6.0): 0.0, (3.0, 3.0): 0.0, (14.0, 5.0): 0.0, (13.0, 3.0): 0.0, (7.0, 6.0): 0.0, (4.0, 4.0): 0.0, (12.0, 6.0): 0.0, (16.0, 4.0): 0.0, (6.0, 3.0): 0.0, (1.0, 5.0): 0.0, (16.0, 6.0): 0.0, (3.0, 6.0): 0.0, (18.0, 5.0): 0.0, (15.0, 4.0): 0.0, (8.0, 6.0): 0.0, (12.0, 3.0): 0.0, (6.0, 4.0): 0.0, (5.0, 4.0): 0.0, (2.0, 6.0): 0.0, (11.0, 4.0): 0.0, (10.0, 4.0): 0.0, (7, 1): 1.0, (15.0, 3.0): 0.0, (9.0, 3.0): 0.0, (1.0, 4.0): 0.0, (14.0, 6.0): 0.0, (13.0, 6.0): 0.0, (7.0, 5.0): 0.0, (2.0, 3.0): 0.0, (18.0, 6.0): 0.0, (18.0, 3.0): 0.0, (9.0, 6.0): 0.0, (17.0, 4.0): 0.0, (5.0, 3.0): 0.0, (8.0, 3.0): 0.0, (16.0, 5.0): 0.0, (4.0, 6.0): 0.0, (11.0, 3.0): 0.0, (7.0, 4.0): 0.0, (15.0, 6.0): 0.0, (12.0, 4.0): 0.0, (4.0, 3.0): 0.0, (14.0, 3.0): 0.0, (3.0, 4.0): 0.0, (2.0, 4.0): 0.0, (11.0, 6.0): 0.0, (8.0, 4.0): 0.0}]
+"""
diff --git a/tracking/test_cases/q8/2-ExactFull.test b/tracking/test_cases/q8/2-ExactFull.test
new file mode 100644
index 0000000..df32ff8
--- /dev/null
+++ b/tracking/test_cases/q8/2-ExactFull.test
@@ -0,0 +1,28 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%%%%%%%%%%
+%P      G       G  %
+% %%%%% %%%%%% % % %
+%     G            %
+%          G       %
+%%%%%%%%%%%%%%%%%%%%
+% % % % %%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "100"
+numParticles: "5000"
+numGhosts: "4"
+
+errorMsg: "Exact inference full test: %d inference errors."
+ghost: "SeededRandomGhostAgent"
+inference: "ExactInference"
+L2Tolerance: "0.0001"
diff --git a/tracking/test_cases/q8/3-ExactFull.solution b/tracking/test_cases/q8/3-ExactFull.solution
new file mode 100644
index 0000000..582a072
--- /dev/null
+++ b/tracking/test_cases/q8/3-ExactFull.solution
@@ -0,0 +1,205 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(7, 3): 0.0077519379845, (6, 9): 0.0077519379845, (11, 11): 0.0077519379845, (7, 12): 0.0077519379845, (13, 4): 0.0077519379845, (1, 6): 0.0077519379845, (3, 7): 0.0077519379845, (1, 11): 0.0077519379845, (8, 5): 0.0077519379845, (5, 8): 0.0077519379845, (10, 8): 0.0077519379845, (6, 7): 0.0077519379845, (5, 5): 0.0077519379845, (11, 5): 0.0077519379845, (10, 7): 0.0077519379845, (7, 6): 0.0077519379845, (6, 10): 0.0077519379845, (13, 7): 0.0077519379845, (8, 15): 0.0077519379845, (4, 10): 0.0077519379845, (5, 11): 0.0077519379845, (4, 5): 0.0077519379845, (10, 13): 0.0077519379845, (9, 3): 0.0077519379845, (7, 5): 0.0077519379845, (13, 10): 0.0077519379845, (3, 12): 0.0077519379845, (1, 12): 0.0077519379845, (8, 12): 0.0077519379845, (4, 15): 0.0077519379845, (9, 9): 0.0077519379845, (6, 13): 0.0077519379845, (11, 15): 0.0077519379845, (7, 8): 0.0077519379845, (13, 13): 0.0077519379845, (3, 11): 0.0077519379845, (1, 15): 0.0077519379845, (8, 9): 0.0077519379845, (4, 12): 0.0077519379845, (10, 3): 0.0077519379845, (11, 10): 0.0077519379845, (7, 15): 0.0077519379845, (13, 3): 0.0077519379845, (1, 5): 0.0077519379845, (3, 6): 0.0077519379845, (1, 10): 0.0077519379845, (8, 6): 0.0077519379845, (10, 9): 0.0077519379845, (9, 7): 0.0077519379845, (6, 11): 0.0077519379845, (11, 9): 0.0077519379845, (13, 6): 0.0077519379845, (4, 11): 0.0077519379845, (3, 5): 0.0077519379845, (9, 13): 0.0077519379845, (8, 3): 0.0077519379845, (5, 10): 0.0077519379845, (4, 6): 0.0077519379845, (10, 10): 0.0077519379845, (5, 7): 0.0077519379845, (11, 3): 0.0077519379845, (13, 9): 0.0077519379845, (3, 15): 0.0077519379845, (1, 3): 0.0077519379845, (8, 13): 0.0077519379845, (4, 8): 0.0077519379845, (9, 8): 0.0077519379845, (5, 13): 0.0077519379845, (10, 15): 0.0077519379845, (7, 11): 0.0077519379845, (13, 12): 0.0077519379845, (3, 10): 0.0077519379845, (1, 14): 0.0077519379845, (8, 10): 0.0077519379845, (4, 13): 0.0077519379845, (9, 11): 0.0077519379845, (6, 15): 0.0077519379845, 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+1 Stop [{(7, 3): 0.0122793553338, (6, 9): 0.000575594781274, (11, 11): 0.0122793553338, (7, 12): 0.00153491941673, (13, 4): 0.00153491941673, (1, 6): 0.00613967766692, (3, 7): 0.0122793553338, (1, 11): 0.0122793553338, (8, 5): 0.00613967766692, (5, 8): 0.00153491941673, (10, 8): 0.00306983883346, (6, 7): 0.00153491941673, (5, 5): 0.0122793553338, (11, 5): 0.0122793553338, (10, 7): 0.00613967766692, (7, 6): 0.00153491941673, (6, 10): 0.000767459708365, (13, 7): 0.0122793553338, (1, 1): 0.0, (8, 15): 0.0245587106677, (4, 10): 0.00306983883346, (5, 11): 0.00306983883346, (4, 5): 0.0245587106677, (10, 13): 0.0245587106677, (9, 3): 0.0122793553338, (7, 5): 0.00306983883346, (13, 10): 0.0245587106677, (3, 12): 0.0245587106677, (1, 12): 0.00613967766692, (8, 12): 0.00306983883346, (4, 15): 0.00613967766692, (9, 9): 0.000767459708365, (6, 13): 0.00613967766692, (11, 15): 0.00306983883346, (7, 8): 0.000575594781274, (13, 13): 0.00306983883346, (3, 11): 0.0122793553338, (1, 15): 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+2 East [{(7.0, 3.0): 0.0194191536939, (6.0, 9.0): 1.9661893115e-05, (11.0, 11.0): 0.0113602049109, (7.0, 12.0): 0.000291287305408, (13.0, 4.0): 0.000212396993527, (1.0, 6.0): 0.00339835189643, (3.0, 7.0): 0.0113602049109, (1.0, 11.0): 0.0135934075857, (8.0, 5.0): 0.00284005122773, (5.0, 8.0): 0.000218465479056, (10.0, 8.0): 0.000946683742576, (6.0, 7.0): 0.000218465479056, (5.0, 5.0): 0.0113602049109, (11.0, 5.0): 0.0155353229551, (10.0, 7.0): 0.0037867349703, (7.0, 6.0): 0.000291287305408, (6.0, 10.0): 5.64369154228e-05, (13.0, 7.0): 0.0135934075857, (1, 1): 0.0, (8.0, 15.0): 0.0310706459102, (4.0, 10.0): 0.000946683742576, (5.0, 11.0): 0.000873861916224, (4.0, 5.0): 0.0299054966885, (10.0, 13.0): 0.0299054966885, (9.0, 3.0): 0.0135934075857, (7.0, 5.0): 0.000983094655752, (13.0, 10.0): 0.0310706459102, (3.0, 12.0): 0.0299054966885, (1.0, 12.0): 0.00339835189643, (8.0, 12.0): 0.000946683742576, (4.0, 15.0): 0.00339835189643, (9.0, 9.0): 6.91807350344e-05, (6.0, 13.0): 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+11 South [{(7.0, 3.0): 0.00591278961551, (6.0, 9.0): 0.0, (11.0, 11.0): 0.0, (7.0, 12.0): 0.0, (13.0, 4.0): 0.00648195401339, (1.0, 6.0): 0.182086163705, (3.0, 7.0): 0.00321788411175, (1.0, 11.0): 9.5359310892e-05, (8.0, 5.0): 2.13265867694e-07, (5.0, 8.0): 9.96379748231e-07, (10.0, 8.0): 0.0, (6.0, 7.0): 9.96086049385e-07, (5.0, 5.0): 0.00321765008555, (11.0, 5.0): 2.43377387105e-07, (10.0, 7.0): 0.0, (7.0, 6.0): 6.46381921346e-07, (6.0, 10.0): 0.0, (13.0, 7.0): 1.58125883376e-05, (1, 1): 0.0, (8.0, 15.0): 2.53654458633e-11, (4.0, 10.0): 1.39188294142e-08, (5.0, 11.0): 0.0, (4.0, 5.0): 0.0241480772908, (10.0, 13.0): 0.0, (9.0, 3.0): 5.3642941836e-05, (7.0, 5.0): 7.75805583443e-06, (13.0, 10.0): 0.0, (3.0, 12.0): 1.20025895076e-09, (1.0, 12.0): 5.79280954481e-05, (8.0, 12.0): 0.0, (4.0, 15.0): 3.88173840433e-05, (9.0, 9.0): 0.0, (6.0, 13.0): 1.80674709285e-12, (11.0, 15.0): 4.02234124772e-10, (7.0, 8.0): 0.0, (13.0, 13.0): 4.02565999236e-10, (3.0, 11.0): 1.66133980475e-08, (1.0, 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+12 East [{(7.0, 3.0): 0.00160820343294, (6.0, 9.0): 0.0, (11.0, 11.0): 0.0, (7.0, 12.0): 0.0, (13.0, 4.0): 0.00191850816026, (1.0, 6.0): 0.11086048783, (3.0, 7.0): 0.000858488715998, (1.0, 11.0): 9.28223421852e-05, (8.0, 5.0): 0.0, (5.0, 8.0): 0.0, (10.0, 8.0): 0.0, (6.0, 7.0): 0.0, (5.0, 5.0): 0.000858466254517, (11.0, 5.0): 4.11028214401e-09, (10.0, 7.0): 0.0, (7.0, 6.0): 0.0, (6.0, 10.0): 0.0, (13.0, 7.0): 1.67280400582e-06, (1, 1): 0.0, (8.0, 15.0): 2.93036970796e-11, (4.0, 10.0): 5.64576021082e-09, (5.0, 11.0): 4.81588652023e-12, (4.0, 5.0): 0.00651542856337, (10.0, 13.0): 0.0, (9.0, 3.0): 8.04892188423e-06, (7.0, 5.0): 1.67148365225e-06, (13.0, 10.0): 0.0, (3.0, 12.0): 1.1618362262e-09, (1.0, 12.0): 0.00021828803035, (8.0, 12.0): 0.0, (4.0, 15.0): 0.00017674427922, (9.0, 9.0): 0.0, (6.0, 13.0): 5.36859926199e-13, (11.0, 15.0): 1.24563089771e-10, (7.0, 8.0): 0.0, (13.0, 13.0): 1.24606070151e-10, (3.0, 11.0): 6.94371498252e-09, (1.0, 15.0): 0.00524590717614, (8.0, 9.0): 0.0, (4.0, 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+59 East [{(7.0, 3.0): 0.0, (6.0, 9.0): 1.18309743554e-11, (11.0, 11.0): 0.0, (7.0, 12.0): 2.55996912701e-11, (13.0, 4.0): 0.0, (1.0, 6.0): 0.134861641972, (3.0, 7.0): 7.14919592633e-12, (1.0, 11.0): 0.000736679803839, (8.0, 5.0): 0.0, (5.0, 8.0): 9.53842995395e-12, (10.0, 8.0): 0.0, (6.0, 7.0): 0.0, (5.0, 5.0): 0.0, (11.0, 5.0): 0.0, (10.0, 7.0): 0.0, (7.0, 6.0): 0.0, (6.0, 10.0): 2.92173870753e-11, (13.0, 7.0): 0.0, (1, 1): 0.0, (8.0, 15.0): 0.000157498290653, (4.0, 10.0): 3.62190136945e-11, (5.0, 11.0): 3.77604636708e-11, (4.0, 5.0): 1.08893857983e-13, (10.0, 13.0): 1.75660784641e-12, (9.0, 3.0): 0.0, (7.0, 5.0): 0.0, (13.0, 10.0): 2.9231119323e-06, (3.0, 12.0): 4.33058655846e-12, (1.0, 12.0): 0.0, (8.0, 12.0): 1.58779561648e-11, (4.0, 15.0): 0.0, (9.0, 9.0): 0.0, (6.0, 13.0): 1.52719412855e-11, (11.0, 15.0): 0.000151317223702, (7.0, 8.0): 0.0, (13.0, 13.0): 1.3303502128e-05, (3.0, 11.0): 1.08706377225e-11, (1.0, 15.0): 0.0, (8.0, 9.0): 0.0, (4.0, 12.0): 1.26031502373e-11, (10.0, 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+79 South [{(7.0, 3.0): 0.058501221568, (6.0, 9.0): 8.92526212666e-11, (11.0, 11.0): 4.06635901224e-11, (7.0, 12.0): 1.39593026796e-11, (13.0, 4.0): 0.0545346042627, (1.0, 6.0): 0.0, (3.0, 7.0): 7.97989659136e-12, (1.0, 11.0): 0.0, (8.0, 5.0): 3.75658307687e-12, (5.0, 8.0): 7.35836299124e-11, (10.0, 8.0): 6.59093174108e-14, (6.0, 7.0): 8.16946192266e-11, (5.0, 5.0): 3.79963025962e-12, (11.0, 5.0): 0.0, (10.0, 7.0): 0.0, (7.0, 6.0): 1.11537161211e-11, (6.0, 10.0): 3.78012995242e-11, (13.0, 7.0): 5.7914393357e-05, (1, 1): 0.0, (8.0, 15.0): 9.0658342839e-11, (4.0, 10.0): 2.72714423781e-12, (5.0, 11.0): 2.73138570549e-12, (4.0, 5.0): 1.59934427064e-12, (10.0, 13.0): 8.76078099034e-11, (9.0, 3.0): 0.182208007092, (7.0, 5.0): 6.00612413519e-12, (13.0, 10.0): 3.82460379609e-06, (3.0, 12.0): 0.0, (1.0, 12.0): 0.0, (8.0, 12.0): 3.05256545243e-11, (4.0, 15.0): 0.0, (9.0, 9.0): 8.2645954653e-12, (6.0, 13.0): 3.13512058975e-13, (11.0, 15.0): 5.78688285149e-10, (7.0, 8.0): 8.94845478945e-11, (13.0, 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+201 None [{(7.0, 3.0): 1.35020421423e-06, (6.0, 9.0): 0.0, (11.0, 11.0): 1.62682537378e-34, (7.0, 12.0): 5.02980719803e-39, (13.0, 4.0): 0.23553132887, (1.0, 6.0): 0.0, (3.0, 7.0): 0.0, (1.0, 11.0): 0.0, (8.0, 5.0): 0.0, (5.0, 8.0): 0.0, (10.0, 8.0): 5.97209159038e-37, (6.0, 7.0): 0.0, (5.0, 5.0): 0.0, (11.0, 5.0): 1.77468267803e-35, (10.0, 7.0): 1.32889200893e-37, (7.0, 6.0): 0.0, (6.0, 10.0): 0.0, (13.0, 7.0): 0.00382012819977, (1, 1): 0.0, (8.0, 15.0): 1.09371210211e-07, (4.0, 10.0): 0.0, (5.0, 11.0): 0.0, (4.0, 5.0): 0.0, (10.0, 13.0): 2.28043056659e-35, (9.0, 3.0): 0.000815128534969, (7.0, 5.0): 0.0, (13.0, 10.0): 0.0121036263858, (3.0, 12.0): 0.0, (1.0, 12.0): 2.26773556862e-22, (8.0, 12.0): 2.04784553176e-37, (4.0, 15.0): 7.80553539425e-11, (9.0, 9.0): 1.37802846592e-37, (6.0, 13.0): 2.34340097892e-40, (11.0, 15.0): 2.03600788784e-10, (7.0, 8.0): 0.0, (13.0, 13.0): 3.95393196069e-08, (3.0, 11.0): 0.0, (1.0, 15.0): 4.09133294469e-13, (8.0, 9.0): 2.09629682466e-39, (4.0, 12.0): 0.0, (10.0, 3.0): 0.00852374262983, (11.0, 10.0): 7.13475077677e-35, (7.0, 15.0): 2.96387717861e-08, (13.0, 3.0): 0.301511366947, (1.0, 5.0): 0.0, (3.0, 6.0): 0.0, (1.0, 10.0): 0.0, (8.0, 6.0): 0.0, (10.0, 9.0): 3.05246708829e-36, (9.0, 7.0): 0.0, (6.0, 11.0): 2.50698631591e-41, (11.0, 9.0): 2.36089767349e-35, (13.0, 6.0): 0.00665185789649, (4.0, 11.0): 0.0, (3.0, 5.0): 0.0, (9.0, 13.0): 3.83541665542e-36, (8.0, 3.0): 4.0869031011e-05, (5.0, 10.0): 0.0, (4.0, 6.0): 0.0, (10.0, 10.0): 1.14355576891e-35, (5.0, 7.0): 0.0, (11.0, 3.0): 0.0629624377205, (13.0, 9.0): 0.0162830769728, (3.0, 15.0): 4.69187851908e-12, (1.0, 3.0): 0.0, (8.0, 13.0): 2.48956837611e-37, (4.0, 8.0): 0.0, (9.0, 8.0): 2.19199539915e-38, (5.0, 13.0): 0.0, (10.0, 15.0): 2.41163395665e-09, (7.0, 11.0): 2.53165468578e-39, (13.0, 12.0): 1.37001528701e-06, (3.0, 10.0): 0.0, (1.0, 14.0): 1.39281424533e-15, (8.0, 10.0): 1.99729399293e-38, (4.0, 13.0): 0.0, (9.0, 11.0): 1.56539011914e-36, (6.0, 15.0): 5.87447213582e-09, (12.0, 3.0): 0.298910473833, (11.0, 13.0): 7.50634499292e-36, (13.0, 15.0): 2.43161254843e-12, (1.0, 4.0): 0.0, (3.0, 9.0): 0.0, (2.0, 3.0): 0.0, (1.0, 9.0): 0.0, (8.0, 7.0): 0.0, (9.0, 6.0): 0.0, (6.0, 5.0): 0.0, (5.0, 3.0): 0.0, (11.0, 7.0): 1.65211251753e-36, (10.0, 5.0): 3.74888937297e-36, (6.0, 8.0): 0.0, (11.0, 8.0): 4.98328585163e-36, (7.0, 13.0): 1.51814766139e-38, (13.0, 5.0): 0.045911234474, (1.0, 7.0): 0.0, (9.0, 12.0): 2.14347032734e-36, (5.0, 9.0): 0.0, (4.0, 7.0): 0.0, (10.0, 11.0): 1.52834119967e-35, (6.0, 6.0): 0.0, (5.0, 6.0): 0.0, (10.0, 6.0): 5.02419215037e-37, (7.0, 7.0): 0.0, (13.0, 8.0): 0.00675373312483, (4.0, 9.0): 0.0, (3.0, 3.0): 0.0, (9.0, 15.0): 1.93370872313e-08, (5.0, 12.0): 1.02597960594e-42, (10.0, 12.0): 2.73962823518e-35, (6.0, 3.0): 0.0, (7.0, 10.0): 2.61938801483e-40, (13.0, 11.0): 0.000178067492536, (3.0, 13.0): 0.0, (1.0, 13.0): 1.76387844678e-18, (8.0, 11.0): 5.43965248623e-38, (9.0, 10.0): 3.91098879777e-37, (5.0, 15.0): 8.50933333428e-10, (6.0, 12.0): 1.50293536801e-40, (11.0, 12.0): 1.34320342366e-34, (7.0, 9.0): 0.0, (12.0, 15.0): 4.3448200129e-12, (13.0, 14.0): 3.49934374709e-10, (3.0, 8.0): 0.0, (1.0, 8.0): 0.0, (8.0, 8.0): 0.0, (4.0, 3.0): 0.0, (2.0, 15.0): 1.35391385766e-12, (9.0, 5.0): 2.3671036755e-37, (11.0, 6.0): 4.05083463784e-36, }, {(7.0, 3.0): 0.0, (6.0, 9.0): 0.0, (11.0, 11.0): 8.21992322165e-27, (7.0, 12.0): 9.30739969283e-31, (13.0, 4.0): 5.98733954833e-06, (1.0, 6.0): 0.0, (3.0, 7.0): 0.0, (1.0, 11.0): 0.0, (8.0, 5.0): 0.0, (5.0, 8.0): 0.0, (10.0, 8.0): 0.0, (6.0, 7.0): 0.0, (5.0, 5.0): 0.0, (11.0, 5.0): 1.8978197309e-36, (10.0, 7.0): 0.0, (7.0, 6.0): 0.0, (6.0, 10.0): 0.0, (13.0, 7.0): 6.46974038232e-05, (8.0, 15.0): 0.181939009003, (4.0, 10.0): 0.0, (5.0, 11.0): 0.0, (4.0, 5.0): 0.0, (10.0, 13.0): 5.57750619927e-26, (9.0, 3.0): 7.47140705753e-10, (7.0, 5.0): 0.0, (13.0, 10.0): 0.184891142271, (3.0, 12.0): 0.0, (1.0, 12.0): 0.0, (8.0, 12.0): 3.38084134636e-29, (4.0, 15.0): 1.42803769892e-06, (3, 1): 0.0, (9.0, 9.0): 0.0, (6.0, 13.0): 2.78695110213e-31, (11.0, 15.0): 0.0231689349027, (7.0, 8.0): 0.0, (13.0, 13.0): 0.023533363163, (3.0, 11.0): 0.0, (1.0, 15.0): 1.7536417713e-12, (8.0, 9.0): 0.0, (4.0, 12.0): 0.0, (10.0, 3.0): 3.55116428029e-08, (11.0, 10.0): 4.24539537468e-28, (7.0, 15.0): 0.0327204156453, (13.0, 3.0): 3.38384611609e-05, (1.0, 5.0): 0.0, (3.0, 6.0): 0.0, (1.0, 10.0): 0.0, (8.0, 6.0): 0.0, (10.0, 9.0): 1.02956612205e-30, (9.0, 7.0): 0.0, (6.0, 11.0): 0.0, (11.0, 9.0): 1.35627629659e-29, (13.0, 6.0): 6.1952310158e-06, (4.0, 11.0): 0.0, (3.0, 5.0): 0.0, (9.0, 13.0): 7.98981478747e-27, (8.0, 3.0): 1.27023814084e-11, (5.0, 10.0): 0.0, (4.0, 6.0): 0.0, (10.0, 10.0): 3.6053314482e-29, (5.0, 7.0): 0.0, (11.0, 3.0): 9.29710195026e-07, (13.0, 9.0): 0.0332544531546, (3.0, 15.0): 0.0, (1.0, 3.0): 0.0, (8.0, 13.0): 3.99301636714e-28, (4.0, 8.0): 0.0, (9.0, 8.0): 0.0, (5.0, 13.0): 0.0, (10.0, 15.0): 0.0776097049172, (7.0, 11.0): 0.0, (13.0, 12.0): 0.0788481320525, (3.0, 10.0): 0.0, (1.0, 14.0): 6.70750333e-15, (8.0, 10.0): 0.0, (4.0, 13.0): 0.0, (9.0, 11.0): 4.46568203319e-29, (6.0, 15.0): 0.0017560535931, (12.0, 3.0): 5.65948927786e-06, (11.0, 13.0): 6.74303076438e-26, (13.0, 15.0): 4.07749662436e-05, (1.0, 4.0): 0.0, (3.0, 9.0): 0.0, (2.0, 3.0): 0.0, (1.0, 9.0): 0.0, (8.0, 7.0): 0.0, (9.0, 6.0): 0.0, (6.0, 5.0): 0.0, (5.0, 3.0): 0.0, (11.0, 7.0): 0.0, (10.0, 5.0): 1.44600964922e-38, (6.0, 8.0): 0.0, (11.0, 8.0): 3.21304861423e-31, (7.0, 13.0): 1.22144893496e-29, (13.0, 5.0): 2.81697266061e-06, (1.0, 7.0): 0.0, (9.0, 12.0): 9.38687516646e-28, (5.0, 9.0): 0.0, (4.0, 7.0): 0.0, (10.0, 11.0): 9.62003296566e-28, (6.0, 6.0): 0.0, (5.0, 6.0): 0.0, (10.0, 6.0): 0.0, (7.0, 7.0): 0.0, (13.0, 8.0): 0.00178528890153, (4.0, 9.0): 0.0, (3.0, 3.0): 0.0, (9.0, 15.0): 0.177891085736, (5.0, 12.0): 0.0, (10.0, 12.0): 1.50115900287e-26, (6.0, 3.0): 0.0, (7.0, 10.0): 0.0, (13.0, 11.0): 0.180760295959, (3.0, 13.0): 0.0, (1.0, 13.0): 0.0, (8.0, 11.0): 1.54901106063e-30, (9.0, 10.0): 1.60577530516e-30, (5.0, 15.0): 6.32829268056e-05, (6.0, 12.0): 0.0, (11.0, 12.0): 5.65674921461e-26, (7.0, 9.0): 0.0, (12.0, 15.0): 0.000802221799608, (13.0, 14.0): 0.000814252020994, (3.0, 8.0): 0.0, (1.0, 8.0): 0.0, (8.0, 8.0): 0.0, (4.0, 3.0): 0.0, (2.0, 15.0): 6.78774516118e-11, (9.0, 5.0): 0.0, (11.0, 6.0): 2.5995940491e-35, }, ]
+"""
diff --git a/tracking/test_cases/q8/3-gameScoreTest.solution b/tracking/test_cases/q8/3-gameScoreTest.solution
new file mode 100644
index 0000000..e138d27
--- /dev/null
+++ b/tracking/test_cases/q8/3-gameScoreTest.solution
@@ -0,0 +1 @@
+# You must win at least 8/10 games with at least 700 points
\ No newline at end of file
diff --git a/tracking/test_cases/q8/3-gameScoreTest.test b/tracking/test_cases/q8/3-gameScoreTest.test
new file mode 100644
index 0000000..5c25108
--- /dev/null
+++ b/tracking/test_cases/q8/3-gameScoreTest.test
@@ -0,0 +1,25 @@
+class: "GameScoreTest"
+
+numRuns: "10"
+numWinsForCredit: "8"
+layout_name: "smallHunt"
+min_score: "700"
+
+layout_str: """
+%%%%%%%%%%%%%%%%%%%%
+%P      G       G  %
+% %%%%% %%%%%% % % %
+%     G            %
+%          G       %
+%%%%%%%%%%%%%%%%%%%%
+% % % % %%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%
+"""
+
+observe: "True"
+elapse: "True"
+inference: "ExactInference"
+maxMoves: "100"
+numGhosts: "4"
+
+
diff --git a/tracking/test_cases/q8/CONFIG b/tracking/test_cases/q8/CONFIG
new file mode 100644
index 0000000..519ac56
--- /dev/null
+++ b/tracking/test_cases/q8/CONFIG
@@ -0,0 +1,3 @@
+max_points: "1"
+class: "PassAllTestsQuestion"
+
diff --git a/tracking/test_cases/q9/1-ParticleInit.solution b/tracking/test_cases/q9/1-ParticleInit.solution
new file mode 100644
index 0000000..2965f05
--- /dev/null
+++ b/tracking/test_cases/q9/1-ParticleInit.solution
@@ -0,0 +1,6 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(5, 4): 0.125, (3, 4): 0.125, (1, 4): 0.125, (7, 4): 0.125, (9, 4): 0.125, (5, 2): 0.125, (2, 4): 0.125, (8, 4): 0.125, }, ]
+1 Stop [{(5, 4): 0.125, (3, 4): 0.125, (1, 4): 0.125, (7, 4): 0.125, (9, 4): 0.125, (5, 2): 0.125, (2, 4): 0.125, (8, 4): 0.125, }, ]
+2 None [{(5, 4): 0.125, (3, 4): 0.125, (1, 4): 0.125, (7, 4): 0.125, (9, 4): 0.125, (5, 2): 0.125, (2, 4): 0.125, (8, 4): 0.125, }, ]
+"""
diff --git a/tracking/test_cases/q9/1-ParticleInit.test b/tracking/test_cases/q9/1-ParticleInit.test
new file mode 100644
index 0000000..ef3f2b9
--- /dev/null
+++ b/tracking/test_cases/q9/1-ParticleInit.test
@@ -0,0 +1,25 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%
+%   %G%   %
+%%%%%%%%%%%
+%%%%%P%%%%%
+% %%%%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "False"
+
+checkUniform: "True"
+maxMoves: "1"
+numParticles: "5000"
+numGhosts: "1"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+L2Tolerance: "0.05"
+errorMsg: "Particle filter initialization test: %d inference errors."
diff --git a/tracking/test_cases/q9/2-ParticleInit.solution b/tracking/test_cases/q9/2-ParticleInit.solution
new file mode 100644
index 0000000..d6faa0a
--- /dev/null
+++ b/tracking/test_cases/q9/2-ParticleInit.solution
@@ -0,0 +1,6 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(4, 4): 0.1, (6, 2): 0.1, (4, 3): 0.2, (5, 4): 0.1, (6, 4): 0.1, (4, 2): 0.2, (6, 3): 0.1, (5, 2): 0.1, }, ]
+1 Stop [{(4, 4): 0.1, (6, 2): 0.1, (4, 3): 0.2, (5, 4): 0.1, (6, 4): 0.1, (4, 2): 0.2, (6, 3): 0.1, (5, 2): 0.1, }, ]
+2 None [{(4, 4): 0.1, (6, 2): 0.1, (4, 3): 0.2, (5, 4): 0.1, (6, 4): 0.1, (4, 2): 0.2, (6, 3): 0.1, (5, 2): 0.1, }, ]
+"""
\ No newline at end of file
diff --git a/tracking/test_cases/q9/2-ParticleInit.test b/tracking/test_cases/q9/2-ParticleInit.test
new file mode 100644
index 0000000..2564ba9
--- /dev/null
+++ b/tracking/test_cases/q9/2-ParticleInit.test
@@ -0,0 +1,25 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%
+%%%% G %%%%
+%%%% % %%%%
+%%%% P %%%%
+%%%%%%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "False"
+
+checkUniform: "True"
+maxMoves: "1"
+numParticles: "10"
+numGhosts: "1"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+L2Tolerance: "0.05"
+errorMsg: "numParticles initialization test: %d inference errors."
diff --git a/tracking/test_cases/q9/CONFIG b/tracking/test_cases/q9/CONFIG
new file mode 100644
index 0000000..519ac56
--- /dev/null
+++ b/tracking/test_cases/q9/CONFIG
@@ -0,0 +1,3 @@
+max_points: "1"
+class: "PassAllTestsQuestion"
+
diff --git a/tracking/textDisplay.py b/tracking/textDisplay.py
new file mode 100644
index 0000000..87a20c7
--- /dev/null
+++ b/tracking/textDisplay.py
@@ -0,0 +1,81 @@
+# textDisplay.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import time
+try: 
+    import pacman
+except:
+    pass
+
+DRAW_EVERY = 1
+SLEEP_TIME = 0 # This can be overwritten by __init__
+DISPLAY_MOVES = False
+QUIET = False # Supresses output
+
+class NullGraphics:
+    def initialize(self, state, isBlue = False):
+        pass
+
+    def update(self, state):
+        pass
+
+    def checkNullDisplay(self):
+        return True
+
+    def pause(self):
+        time.sleep(SLEEP_TIME)
+
+    def draw(self, state):
+        print(state)
+
+    def updateDistributions(self, dist):
+        pass
+
+    def finish(self):
+        pass
+
+class PacmanGraphics:
+    def __init__(self, speed=None):
+        if speed != None:
+            global SLEEP_TIME
+            SLEEP_TIME = speed
+
+    def initialize(self, state, isBlue = False):
+        self.draw(state)
+        self.pause()
+        self.turn = 0
+        self.agentCounter = 0
+
+    def update(self, state):
+        numAgents = len(state.agentStates)
+        self.agentCounter = (self.agentCounter + 1) % numAgents
+        if self.agentCounter == 0:
+            self.turn += 1
+            if DISPLAY_MOVES:
+                ghosts = [pacman.nearestPoint(state.getGhostPosition(i)) for i in range(1, numAgents)]
+                print("%4d) P: %-8s" % (self.turn, str(pacman.nearestPoint(state.getPacmanPosition()))),'| Score: %-5d' % state.score,'| Ghosts:', ghosts)
+            if self.turn % DRAW_EVERY == 0:
+                self.draw(state)
+                self.pause()
+        if state._win or state._lose:
+            self.draw(state)
+
+    def pause(self):
+        time.sleep(SLEEP_TIME)
+
+    def draw(self, state):
+        print(state)
+
+    def finish(self):
+        pass
diff --git a/tracking/util.py b/tracking/util.py
new file mode 100644
index 0000000..3ed51a3
--- /dev/null
+++ b/tracking/util.py
@@ -0,0 +1,674 @@
+# util.py
+# -------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# util.py
+# -------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import sys
+import inspect
+import heapq, random
+import io
+
+
+class FixedRandom:
+    def __init__(self):
+        fixedState = (3, (2147483648, 507801126, 683453281, 310439348, 2597246090, \
+            2209084787, 2267831527, 979920060, 3098657677, 37650879, 807947081, 3974896263, \
+            881243242, 3100634921, 1334775171, 3965168385, 746264660, 4074750168, 500078808, \
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+            896457479, 3480499461, 2488196663, 4021103792, 1877063114, 2744470201, 1046140599, \
+            2129952955, 3583049218, 4217723693, 2720341743, 820661843, 1079873609, 3360954200, \
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+            1665099167, 651151584, 2077190587, 957892642, 646336572, 2743719258, 866169074, \
+            851118829, 4225766285, 963748226, 799549420, 1955032629, 799460000, 2425744063, \
+            2441291571, 1928963772, 528930629, 2591962884, 3495142819, 1896021824, 901320159, \
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+            2227939888, 3460264600, 1745705055, 1474086965, 572796246, 4081303004, 882828851, \
+            1295445825, 137639900, 3304579600, 2722437017, 4093422709, 273203373, 2666507854, \
+            3998836510, 493829981, 1623949669, 3482036755, 3390023939, 833233937, 1639668730, \
+            1499455075, 249728260, 1210694006, 3836497489, 1551488720, 3253074267, 3388238003, \
+            2372035079, 3945715164, 2029501215, 3362012634, 2007375355, 4074709820, 631485888, \
+            3135015769, 4273087084, 3648076204, 2739943601, 1374020358, 1760722448, 3773939706, \
+            1313027823, 1895251226, 4224465911, 421382535, 1141067370, 3660034846, 3393185650, \
+            1850995280, 1451917312, 3841455409, 3926840308, 1397397252, 2572864479, 2500171350, \
+            3119920613, 531400869, 1626487579, 1099320497, 407414753, 2438623324, 99073255, \
+            3175491512, 656431560, 1153671785, 236307875, 2824738046, 2320621382, 892174056, \
+            230984053, 719791226, 2718891946, 624), None)
+        self.random = random.Random()
+        self.random.setstate(fixedState)
+
+"""
+ Data structures useful for implementing SearchAgents
+"""
+
+class Stack:
+    "A container with a last-in-first-out (LIFO) queuing policy."
+    def __init__(self):
+        self.list = []
+
+    def push(self,item):
+        "Push 'item' onto the stack"
+        self.list.append(item)
+
+    def pop(self):
+        "Pop the most recently pushed item from the stack"
+        return self.list.pop()
+
+    def isEmpty(self):
+        "Returns true if the stack is empty"
+        return len(self.list) == 0
+
+class Queue:
+    "A container with a first-in-first-out (FIFO) queuing policy."
+    def __init__(self):
+        self.list = []
+
+    def push(self,item):
+        "Enqueue the 'item' into the queue"
+        self.list.insert(0,item)
+
+    def pop(self):
+        """
+          Dequeue the earliest enqueued item still in the queue. This
+          operation removes the item from the queue.
+        """
+        return self.list.pop()
+
+    def isEmpty(self):
+        "Returns true if the queue is empty"
+        return len(self.list) == 0
+
+class PriorityQueue:
+    """
+      Implements a priority queue data structure. Each inserted item
+      has a priority associated with it and the client is usually interested
+      in quick retrieval of the lowest-priority item in the queue. This
+      data structure allows O(1) access to the lowest-priority item.
+    """
+    def  __init__(self):
+        self.heap = []
+        self.count = 0
+
+    def push(self, item, priority):
+        entry = (priority, self.count, item)
+        heapq.heappush(self.heap, entry)
+        self.count += 1
+
+    def pop(self):
+        (_, _, item) = heapq.heappop(self.heap)
+        return item
+
+    def isEmpty(self):
+        return len(self.heap) == 0
+
+    def update(self, item, priority):
+        # If item already in priority queue with higher priority, update its priority and rebuild the heap.
+        # If item already in priority queue with equal or lower priority, do nothing.
+        # If item not in priority queue, do the same thing as self.push.
+        for index, (p, c, i) in enumerate(self.heap):
+            if i == item:
+                if p <= priority:
+                    break
+                del self.heap[index]
+                self.heap.append((priority, c, item))
+                heapq.heapify(self.heap)
+                break
+        else:
+            self.push(item, priority)
+
+class PriorityQueueWithFunction(PriorityQueue):
+    """
+    Implements a priority queue with the same push/pop signature of the
+    Queue and the Stack classes. This is designed for drop-in replacement for
+    those two classes. The caller has to provide a priority function, which
+    extracts each item's priority.
+    """
+    def  __init__(self, priorityFunction):
+        "priorityFunction (item) -> priority"
+        self.priorityFunction = priorityFunction      # store the priority function
+        PriorityQueue.__init__(self)        # super-class initializer
+
+    def push(self, item):
+        "Adds an item to the queue with priority from the priority function"
+        PriorityQueue.push(self, item, self.priorityFunction(item))
+
+
+def manhattanDistance( xy1, xy2 ):
+    "Returns the Manhattan distance between points xy1 and xy2"
+    return abs( xy1[0] - xy2[0] ) + abs( xy1[1] - xy2[1] )
+
+"""
+  Data structures and functions useful for various course projects
+
+  The search project should not need anything below this line.
+"""
+
+class Counter(dict):
+    """
+    A counter keeps track of counts for a set of keys.
+
+    The counter class is an extension of the standard python
+    dictionary type.  It is specialized to have number values
+    (integers or floats), and includes a handful of additional
+    functions to ease the task of counting data.  In particular,
+    all keys are defaulted to have value 0.  Using a dictionary:
+
+    a = {}
+    print a['test']
+
+    would give an error, while the Counter class analogue:
+
+    >>> a = Counter()
+    >>> print a['test']
+    0
+
+    returns the default 0 value. Note that to reference a key
+    that you know is contained in the counter,
+    you can still use the dictionary syntax:
+
+    >>> a = Counter()
+    >>> a['test'] = 2
+    >>> print a['test']
+    2
+
+    This is very useful for counting things without initializing their counts,
+    see for example:
+
+    >>> a['blah'] += 1
+    >>> print a['blah']
+    1
+
+    The counter also includes additional functionality useful in implementing
+    the classifiers for this assignment.  Two counters can be added,
+    subtracted or multiplied together.  See below for details.  They can
+    also be normalized and their total count and arg max can be extracted.
+    """
+    def __getitem__(self, idx):
+        self.setdefault(idx, 0)
+        return dict.__getitem__(self, idx)
+
+    def incrementAll(self, keys, count):
+        """
+        Increments all elements of keys by the same count.
+
+        >>> a = Counter()
+        >>> a.incrementAll(['one','two', 'three'], 1)
+        >>> a['one']
+        1
+        >>> a['two']
+        1
+        """
+        for key in keys:
+            self[key] += count
+
+    def argMax(self):
+        """
+        Returns the key with the highest value.
+        """
+        if len(self.keys()) == 0: return None
+        all = list(self.items())
+        values = [x[1] for x in all]
+        maxIndex = values.index(max(values))
+        return all[maxIndex][0]
+
+    def sortedKeys(self):
+        """
+        Returns a list of keys sorted by their values.  Keys
+        with the highest values will appear first.
+
+        >>> a = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> a['third'] = 1
+        >>> a.sortedKeys()
+        ['second', 'third', 'first']
+        """
+        sortedItems = self.items()
+        compare = lambda x, y:  sign(y[1] - x[1])
+        sortedItems.sort(cmp=compare)
+        return [x[0] for x in sortedItems]
+
+    def totalCount(self):
+        """
+        Returns the sum of counts for all keys.
+        """
+        return sum(self.values())
+
+    def normalize(self):
+        """
+        Edits the counter such that the total count of all
+        keys sums to 1.  The ratio of counts for all keys
+        will remain the same. Note that normalizing an empty
+        Counter will result in an error.
+        """
+        total = float(self.totalCount())
+        if total == 0: return
+        for key in self.keys():
+            self[key] = self[key] / total
+
+    def divideAll(self, divisor):
+        """
+        Divides all counts by divisor
+        """
+        divisor = float(divisor)
+        for key in self:
+            self[key] /= divisor
+
+    def copy(self):
+        """
+        Returns a copy of the counter
+        """
+        return Counter(dict.copy(self))
+
+    def __mul__(self, y ):
+        """
+        Multiplying two counters gives the dot product of their vectors where
+        each unique label is a vector element.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['second'] = 5
+        >>> a['third'] = 1.5
+        >>> a['fourth'] = 2.5
+        >>> a * b
+        14
+        """
+        sum = 0
+        x = self
+        if len(x) > len(y):
+            x,y = y,x
+        for key in x:
+            if key not in y:
+                continue
+            sum += x[key] * y[key]
+        return sum
+
+    def __radd__(self, y):
+        """
+        Adding another counter to a counter increments the current counter
+        by the values stored in the second counter.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> a += b
+        >>> a['first']
+        1
+        """
+        for key, value in y.items():
+            self[key] += value
+
+    def __add__( self, y ):
+        """
+        Adding two counters gives a counter with the union of all keys and
+        counts of the second added to counts of the first.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> (a + b)['first']
+        1
+        """
+        addend = Counter()
+        for key in self:
+            if key in y:
+                addend[key] = self[key] + y[key]
+            else:
+                addend[key] = self[key]
+        for key in y:
+            if key in self:
+                continue
+            addend[key] = y[key]
+        return addend
+
+    def __sub__( self, y ):
+        """
+        Subtracting a counter from another gives a counter with the union of all keys and
+        counts of the second subtracted from counts of the first.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> (a - b)['first']
+        -5
+        """
+        addend = Counter()
+        for key in self:
+            if key in y:
+                addend[key] = self[key] - y[key]
+            else:
+                addend[key] = self[key]
+        for key in y:
+            if key in self:
+                continue
+            addend[key] = -1 * y[key]
+        return addend
+
+def raiseNotDefined():
+    fileName = inspect.stack()[1][1]
+    line = inspect.stack()[1][2]
+    method = inspect.stack()[1][3]
+
+    print("*** Method not implemented: %s at line %s of %s" % (method, line, fileName))
+    sys.exit(1)
+
+def normalize(vectorOrCounter):
+    """
+    normalize a vector or counter by dividing each value by the sum of all values
+    """
+    normalizedCounter = Counter()
+    if type(vectorOrCounter) == type(normalizedCounter):
+        counter = vectorOrCounter
+        total = float(counter.totalCount())
+        if total == 0: return counter
+        for key in counter.keys():
+            value = counter[key]
+            normalizedCounter[key] = value / total
+        return normalizedCounter
+    else:
+        vector = vectorOrCounter
+        s = float(sum(vector))
+        if s == 0: return vector
+        return [el / s for el in vector]
+
+def nSample(distribution, values, n):
+    if sum(distribution) != 1:
+        distribution = normalize(distribution)
+    rand = [random.random() for i in range(n)]
+    rand.sort()
+    samples = []
+    samplePos, distPos, cdf = 0,0, distribution[0]
+    while samplePos < n:
+        if rand[samplePos] < cdf:
+            samplePos += 1
+            samples.append(values[distPos])
+        else:
+            distPos += 1
+            cdf += distribution[distPos]
+    return samples
+
+def sample(distribution, values = None):
+    if type(distribution) == Counter:
+        items = sorted(distribution.items())
+        distribution = [i[1] for i in items]
+        values = [i[0] for i in items]
+    if sum(distribution) != 1:
+        distribution = normalize(distribution)
+    choice = random.random()
+    i, total= 0, distribution[0]
+    while choice > total:
+        i += 1
+        total += distribution[i]
+    return values[i]
+
+def sampleFromCounter(ctr):
+    items = sorted(ctr.items())
+    return sample([v for k,v in items], [k for k,v in items])
+
+def getProbability(value, distribution, values):
+    """
+      Gives the probability of a value under a discrete distribution
+      defined by (distributions, values).
+    """
+    total = 0.0
+    for prob, val in zip(distribution, values):
+        if val == value:
+            total += prob
+    return total
+
+def flipCoin( p ):
+    r = random.random()
+    return r < p
+
+def chooseFromDistribution( distribution ):
+    "Takes either a counter or a list of (prob, key) pairs and samples"
+    if type(distribution) == dict or type(distribution) == Counter:
+        return sample(distribution)
+    r = random.random()
+    base = 0.0
+    for prob, element in distribution:
+        base += prob
+        if r <= base: return element
+
+def nearestPoint( pos ):
+    """
+    Finds the nearest grid point to a position (discretizes).
+    """
+    ( current_row, current_col ) = pos
+
+    grid_row = int( current_row + 0.5 )
+    grid_col = int( current_col + 0.5 )
+    return ( grid_row, grid_col )
+
+def sign( x ):
+    """
+    Returns 1 or -1 depending on the sign of x
+    """
+    if( x >= 0 ):
+        return 1
+    else:
+        return -1
+
+def arrayInvert(array):
+    """
+    Inverts a matrix stored as a list of lists.
+    """
+    result = [[] for i in array]
+    for outer in array:
+        for inner in range(len(outer)):
+            result[inner].append(outer[inner])
+    return result
+
+def matrixAsList( matrix, value = True ):
+    """
+    Turns a matrix into a list of coordinates matching the specified value
+    """
+    rows, cols = len( matrix ), len( matrix[0] )
+    cells = []
+    for row in range( rows ):
+        for col in range( cols ):
+            if matrix[row][col] == value:
+                cells.append( ( row, col ) )
+    return cells
+
+def lookup(name, namespace):
+    """
+    Get a method or class from any imported module from its name.
+    Usage: lookup(functionName, globals())
+    """
+    dots = name.count('.')
+    if dots > 0:
+        moduleName, objName = '.'.join(name.split('.')[:-1]), name.split('.')[-1]
+        module = __import__(moduleName)
+        return getattr(module, objName)
+    else:
+        modules = [obj for obj in namespace.values() if str(type(obj)) == ""]
+        options = [getattr(module, name) for module in modules if name in dir(module)]
+        options += [obj[1] for obj in namespace.items() if obj[0] == name ]
+        if len(options) == 1: return options[0]
+        if len(options) > 1: raise Exception('Name conflict for %s')
+        raise Exception('%s not found as a method or class' % name)
+
+def pause():
+    """
+    Pauses the output stream awaiting user feedback.
+    """
+    print("")
+    input()
+
+
+# code to handle timeouts
+#
+# FIXME
+# NOTE: TimeoutFuncton is NOT reentrant.  Later timeouts will silently
+# disable earlier timeouts.  Could be solved by maintaining a global list
+# of active time outs.  Currently, questions which have test cases calling
+# this have all student code so wrapped.
+#
+import signal
+import time
+class TimeoutFunctionException(Exception):
+    """Exception to raise on a timeout"""
+    pass
+
+
+class TimeoutFunction:
+    def __init__(self, function, timeout):
+        self.timeout = timeout
+        self.function = function
+
+    def handle_timeout(self, signum, frame):
+        raise TimeoutFunctionException()
+
+    def __call__(self, *args, **keyArgs):
+        # If we have SIGALRM signa, use it to cause an exception if and
+        # when this function runs too long.  Otherwise check the time taken
+        # after the method has returned, and throw an exception then.
+        if hasattr(signal, 'SIGALRM'):
+            old = signal.signal(signal.SIGALRM, self.handle_timeout)
+            signal.alarm(self.timeout)
+            try:
+                result = self.function(*args, **keyArgs)
+            finally:
+                signal.signal(signal.SIGALRM, old)
+            signal.alarm(0)
+        else:
+            startTime = time.time()
+            result = self.function(*args, **keyArgs)
+            timeElapsed = time.time() - startTime
+            if timeElapsed >= self.timeout:
+                self.handle_timeout(None, None)
+        return result
+
+
+
+_ORIGINAL_STDOUT = None
+_ORIGINAL_STDERR = None
+_MUTED = False
+
+class WritableNull:
+    def write(self, string):
+        pass
+
+def mutePrint():
+    global _ORIGINAL_STDOUT, _ORIGINAL_STDERR, _MUTED
+    if _MUTED:
+        return
+    _MUTED = True
+
+    _ORIGINAL_STDOUT = sys.stdout
+    #_ORIGINAL_STDERR = sys.stderr
+    sys.stdout = WritableNull()
+    #sys.stderr = WritableNull()
+
+def unmutePrint():
+    global _ORIGINAL_STDOUT, _ORIGINAL_STDERR, _MUTED
+    if not _MUTED:
+        return
+    _MUTED = False
+
+    sys.stdout = _ORIGINAL_STDOUT
+    #sys.stderr = _ORIGINAL_STDERR
+