commit d5f60a1f72a359825efc29f56c457de235a9f3f2 Author: Git Date: Mon Sep 21 17:25:17 2026 +0800 Initial commit: Pacman AI search project diff --git a/eightpuzzle.py b/eightpuzzle.py new file mode 100644 index 0000000..bb8ea6f --- /dev/null +++ b/eightpuzzle.py @@ -0,0 +1,281 @@ +# eightpuzzle.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 search +import random + +# Module Classes + +class EightPuzzleState: + """ + The Eight Puzzle is described in the course textbook on + page 64. + + This class defines the mechanics of the puzzle itself. The + task of recasting this puzzle as a search problem is left to + the EightPuzzleSearchProblem class. + """ + + def __init__( self, numbers ): + """ + Constructs a new eight puzzle from an ordering of numbers. + + numbers: a list of integers from 0 to 8 representing an + instance of the eight puzzle. 0 represents the blank + space. Thus, the list + + [1, 0, 2, 3, 4, 5, 6, 7, 8] + + represents the eight puzzle: + ------------- + | 1 | | 2 | + ------------- + | 3 | 4 | 5 | + ------------- + | 6 | 7 | 8 | + ------------ + + The configuration of the puzzle is stored in a 2-dimensional + list (a list of lists) 'cells'. + """ + self.cells = [] + numbers = numbers[:] # Make a copy so as not to cause side-effects. + numbers.reverse() + for row in range( 3 ): + self.cells.append( [] ) + for col in range( 3 ): + self.cells[row].append( numbers.pop() ) + if self.cells[row][col] == 0: + self.blankLocation = row, col + + def isGoal( self ): + """ + Checks to see if the puzzle is in its goal state. + + ------------- + | | 1 | 2 | + ------------- + | 3 | 4 | 5 | + ------------- + | 6 | 7 | 8 | + ------------- + + >>> EightPuzzleState([0, 1, 2, 3, 4, 5, 6, 7, 8]).isGoal() + True + + >>> EightPuzzleState([1, 0, 2, 3, 4, 5, 6, 7, 8]).isGoal() + False + """ + current = 0 + for row in range( 3 ): + for col in range( 3 ): + if current != self.cells[row][col]: + return False + current += 1 + return True + + def legalMoves( self ): + """ + Returns a list of legal moves from the current state. + + Moves consist of moving the blank space up, down, left or right. + These are encoded as 'up', 'down', 'left' and 'right' respectively. + + >>> EightPuzzleState([0, 1, 2, 3, 4, 5, 6, 7, 8]).legalMoves() + ['down', 'right'] + """ + moves = [] + row, col = self.blankLocation + if(row != 0): + moves.append('up') + if(row != 2): + moves.append('down') + if(col != 0): + moves.append('left') + if(col != 2): + moves.append('right') + return moves + + def result(self, move): + """ + Returns a new eightPuzzle with the current state and blankLocation + updated based on the provided move. + + The move should be a string drawn from a list returned by legalMoves. + Illegal moves will raise an exception, which may be an array bounds + exception. + + NOTE: This function *does not* change the current object. Instead, + it returns a new object. + """ + row, col = self.blankLocation + if(move == 'up'): + newrow = row - 1 + newcol = col + elif(move == 'down'): + newrow = row + 1 + newcol = col + elif(move == 'left'): + newrow = row + newcol = col - 1 + elif(move == 'right'): + newrow = row + newcol = col + 1 + else: + raise "Illegal Move" + + # Create a copy of the current eightPuzzle + newPuzzle = EightPuzzleState([0, 0, 0, 0, 0, 0, 0, 0, 0]) + newPuzzle.cells = [values[:] for values in self.cells] + # And update it to reflect the move + newPuzzle.cells[row][col] = self.cells[newrow][newcol] + newPuzzle.cells[newrow][newcol] = self.cells[row][col] + newPuzzle.blankLocation = newrow, newcol + + return newPuzzle + + # Utilities for comparison and display + def __eq__(self, other): + """ + Overloads '==' such that two eightPuzzles with the same configuration + are equal. + + >>> EightPuzzleState([0, 1, 2, 3, 4, 5, 6, 7, 8]) == \ + EightPuzzleState([1, 0, 2, 3, 4, 5, 6, 7, 8]).result('left') + True + """ + for row in range( 3 ): + if self.cells[row] != other.cells[row]: + return False + return True + + def __hash__(self): + return hash(str(self.cells)) + + def __getAsciiString(self): + """ + Returns a display string for the maze + """ + lines = [] + horizontalLine = ('-' * (13)) + lines.append(horizontalLine) + for row in self.cells: + rowLine = '|' + for col in row: + if col == 0: + col = ' ' + rowLine = rowLine + ' ' + col.__str__() + ' |' + lines.append(rowLine) + lines.append(horizontalLine) + return '\n'.join(lines) + + def __str__(self): + return self.__getAsciiString() + +# TODO: Implement The methods in this class + +class EightPuzzleSearchProblem(search.SearchProblem): + """ + Implementation of a SearchProblem for the Eight Puzzle domain + + Each state is represented by an instance of an eightPuzzle. + """ + def __init__(self,puzzle): + "Creates a new EightPuzzleSearchProblem which stores search information." + self.puzzle = puzzle + + def getStartState(self): + return puzzle + + def isGoalState(self,state): + return state.isGoal() + + def getSuccessors(self,state): + """ + Returns list of (successor, action, stepCost) pairs where + each succesor is either left, right, up, or down + from the original state and the cost is 1.0 for each + """ + succ = [] + for a in state.legalMoves(): + succ.append((state.result(a), a, 1)) + return succ + + def getCostOfActions(self, actions): + """ + actions: A list of actions to take + + This method returns the total cost of a particular sequence of actions. The sequence must + be composed of legal moves + """ + return len(actions) + +EIGHT_PUZZLE_DATA = [[1, 0, 2, 3, 4, 5, 6, 7, 8], + [1, 7, 8, 2, 3, 4, 5, 6, 0], + [4, 3, 2, 7, 0, 5, 1, 6, 8], + [5, 1, 3, 4, 0, 2, 6, 7, 8], + [1, 2, 5, 7, 6, 8, 0, 4, 3], + [0, 3, 1, 6, 8, 2, 7, 5, 4]] + +def loadEightPuzzle(puzzleNumber): + """ + puzzleNumber: The number of the eight puzzle to load. + + Returns an eight puzzle object generated from one of the + provided puzzles in EIGHT_PUZZLE_DATA. + + puzzleNumber can range from 0 to 5. + + >>> print(loadEightPuzzle(0)) + ------------- + | 1 | | 2 | + ------------- + | 3 | 4 | 5 | + ------------- + | 6 | 7 | 8 | + ------------- + """ + return EightPuzzleState(EIGHT_PUZZLE_DATA[puzzleNumber]) + +def createRandomEightPuzzle(moves=100): + """ + moves: number of random moves to apply + + Creates a random eight puzzle by applying + a series of 'moves' random moves to a solved + puzzle. + """ + puzzle = EightPuzzleState([0,1,2,3,4,5,6,7,8]) + for i in range(moves): + # Execute a random legal move + puzzle = puzzle.result(random.sample(puzzle.legalMoves(), 1)[0]) + return puzzle + +if __name__ == '__main__': + puzzle = createRandomEightPuzzle(25) + print('A random puzzle:') + print(puzzle) + + problem = EightPuzzleSearchProblem(puzzle) + path = search.breadthFirstSearch(problem) + print('BFS found a path of %d moves: %s' % (len(path), str(path))) + curr = puzzle + i = 1 + for a in path: + curr = curr.result(a) + print('After %d move%s: %s' % (i, ("", "s")[i>1], a)) + print(curr) + + input("Press return for the next state...") # wait for key stroke + i += 1 diff --git a/game.py b/game.py new file mode 100644 index 0000000..3950f27 --- /dev/null +++ b/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.generateSuccessor( agentIndex, action ) + except Exception as data: + self.mute(agentIndex) + self._agentCrash(agentIndex) + self.unmute() + return + else: + self.state = self.state.generateSuccessor( 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 data + self._agentCrash(agentIndex) + self.unmute() + return + self.display.finish() diff --git a/ghostAgents.py b/ghostAgents.py new file mode 100644 index 0000000..c3afe1f --- /dev/null +++ b/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/grading.py b/grading.py new file mode 100644 index 0000000..7a15338 --- /dev/null +++ b/grading.py @@ -0,0 +1,320 @@ +# 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" + +from html import escape +import time +import json +import traceback +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 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 = 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/graphicsDisplay.py b/graphicsDisplay.py
new file mode 100644
index 0000000..bd53e9a
--- /dev/null
+++ b/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 = [colorToVector(c) for c in 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 = 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/graphicsUtils.py b/graphicsUtils.py
new file mode 100644
index 0000000..22e6ae1
--- /dev/null
+++ b/graphicsUtils.py
@@ -0,0 +1,402 @@
+# 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
+import tkinter
+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=None, 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 or outlineColor,
+                              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):
+    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):
+    _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 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, 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/keyboardAgents.py b/keyboardAgents.py
new file mode 100644
index 0000000..624021d
--- /dev/null
+++ b/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/layout.py b/layout.py
new file mode 100644
index 0000000..ebba32a
--- /dev/null
+++ b/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/layouts/bigCorners.lay b/layouts/bigCorners.lay
new file mode 100644
index 0000000..4d89d7b
--- /dev/null
+++ b/layouts/bigCorners.lay
@@ -0,0 +1,37 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%.      %                         %.%
+%         %%%%% % %%% %%% %%%%%%% % %
+%       %       % %     %     % %   %
+%%%%% %%%%% %%% % % % %%% %%%%% % %%%
+%   % % % %   % % % %   % %     %   %
+% %%% % % % %%% %%%%% %%% % %%% %%% %
+%       %     %   %   %     % % %   %
+%%% %%%%%%%%% %%%%%%% %%% %%% % % % %
+%             %       % %   %     % %
+% % %%%%% % %%% % % %%% % %%% %%% % %
+% % %     % % % % %     %   % % % % %
+% % % %%%%%%% % %%%%%%%%% %%% % %%% %
+% % % %     %   %     %     %   %   %
+%%% %%% % %%%%% %%%%% %%% %%% %%%%% %
+%     % %               % %   % % % %
+% % % % %  %  %%% %%% %%% % % % % % %
+% % % % % %%  % % % % %   % % %     %
+% % %%%%%  %  %%% %%% % %%% %%% %%%%%
+%       %  %  % % % % %       % %   %
+% %%% % %  %  %%% %%% %%%%%%%%% % %%%
+%   % %                   %   % %   %
+% %%% %%%%%%%%%%%%%%%%%%%%% % % %%% %
+% %                         %       %
+% % % %%%%% %%% % % % % %%%%%%%%%%%%%
+% % %   %     % % % %       %   % % %
+% % %%% %%% % % % %%%%%%%%% %%% % % %
+% %   % %   % % %P  % %   % % %     %
+% %%% %%% %%% % %%% % % %%%%% % %%%%%
+%       %   %     %       %   % %   %
+%%% % %%%%% %%%%% %%% %%% % %%% % %%%
+% % % % % % % %     % %   % %   % % %
+% % %%% % % % % %%%%%%%%% % % % % % %
+%       %                     %     %
+% %   % %%% %%% %%%%%%% %%% %%% %%% %
+%.%   %       %           %     %  .%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/layouts/bigMaze.lay b/layouts/bigMaze.lay
new file mode 100644
index 0000000..e11fade
--- /dev/null
+++ b/layouts/bigMaze.lay
@@ -0,0 +1,37 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%       % % %           %   %     % %
+% %%%%%%% % %%% % %%% %%% %%%%%%% % %
+%       %       % %     %     % %   %
+%%%%% %%%%% %%% % % % %%% %%%%% % %%%
+%   % % % %   % % % %   % %   % %   %
+% %%% % % % %%% %%%%% %%% % %%% %%% %
+%       %     %   %   %     % % %   %
+%%% %%%%%%%%% %%%%%%% %%% %%% % % % %
+%             %       % %   %     % %
+% % %%%%% % %%% % % %%% % %%% %%% % %
+% % %     % % % % %     %   % % % % %
+% % % %%%%%%% % %%%%%%%%% %%% % %%% %
+% % % %     %   %     %     %   %   %
+%%% %%% % %%%%% %%%%% %%% %%% %%%%% %
+%     % % %     % %     % %   % % % %
+% % % % % %%% %%% %%% %%% % % % % % %
+% % % % %                 % % %     %
+%%% %%%%%%% % % %%%%% %%% % %%% %%%%%
+%       % % % %     %   %     % %   %
+%%%%% % % %%%%%%%%% %%%%%%%%%%% % %%%
+%   % %           % %     %   % %   %
+% %%% %%%%% %%%%%%%%% %%%%% % % %%% %
+% %   %      %        %     %       %
+% % % %%%%% %%% % % % % %%%%%%%%%%%%%
+% % %   %     % % % %       %   % % %
+% % %%% %%% % % % %%%%%%%%% %%% % % %
+% %   % %   % % %   % %   % % %     %
+% %%% %%% %%%%% %%% % % %%%%% % %%%%%
+%       %   %     % %     %   % %   %
+%%% % %%%%% %%%%% %%% %%% % %%% % %%%
+% % % % % % % %     % %   % %   % % %
+% % %%% % % % % %%%%%%%%% % % % % % %
+%   %   %   %                 %     %
+% % % % %%% %%% %%%%%%% %%% %%% %%% %
+%.% % %       %   %       %   % %  P%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/layouts/bigSafeSearch.lay b/layouts/bigSafeSearch.lay
new file mode 100644
index 0000000..b5fd414
--- /dev/null
+++ b/layouts/bigSafeSearch.lay
@@ -0,0 +1,8 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%.%.........%% G %  o%%%%.....%
+%.%.%%%%%%%.%%%%%% %%%%%%%.%%.%
+%............%...%............%
+%%%%%...%%%..     ..%.%...%.%%%
+%o%%%.%%%%%.%%%%%%%.%%%.%.%%%%%
+%    ..........Po...%...%.   o%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/layouts/bigSearch.lay b/layouts/bigSearch.lay
new file mode 100644
index 0000000..bb59eb8
--- /dev/null
+++ b/layouts/bigSearch.lay
@@ -0,0 +1,15 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%.....%.................%.....%
+%.%%%.%.%%%.%%%%%%%.%%%.%.....%
+%.%...%.%......%......%.%.....%
+%...%%%.%.%%%%.%.%%%%...%%%...%
+%%%.%.%.%.%......%..%.%...%.%%%
+%...%.%%%.%.%%% %%%.%.%%%.%...%
+%.%%%.......%     %.......%%%.%
+%...%.%%%%%.%%%%%%%.%.%%%.%...%
+%%%.%...%.%....%....%.%...%.%%%
+%...%%%.%.%%%%.%.%%%%.%.%%%...%
+%.......%......%......%.....%.%
+%.....%.%%%.%%%%%%%.%%%.%.%%%.%
+%.....%........P....%...%.....%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/layouts/boxSearch.lay b/layouts/boxSearch.lay
new file mode 100644
index 0000000..4a113fc
--- /dev/null
+++ b/layouts/boxSearch.lay
@@ -0,0 +1,14 @@
+%%%%%%%%%%%%%%
+%. . . . . % %
+%          % %
+%. . . . . %G%
+%          % %
+%. . . . . % %
+%          % %
+%. . . . . % %
+%     P    %G%
+%. . . . . % %
+%          % %
+%. . . . . % %
+%          % %
+%%%%%%%%%%%%%%
diff --git a/layouts/capsuleClassic.lay b/layouts/capsuleClassic.lay
new file mode 100644
index 0000000..06a5c51
--- /dev/null
+++ b/layouts/capsuleClassic.lay
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%
+%G.       G   ....%
+%.% % %%%%%% %.%%.%
+%.%o% %   o% %.o%.%
+%.%%%.%  %%% %..%.%
+%.....  P    %..%G%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/layouts/contestClassic.lay b/layouts/contestClassic.lay
new file mode 100644
index 0000000..84c8733
--- /dev/null
+++ b/layouts/contestClassic.lay
@@ -0,0 +1,9 @@
+%%%%%%%%%%%%%%%%%%%%
+%o...%........%...o%
+%.%%.%.%%..%%.%.%%.%
+%...... G GG%......%
+%.%.%%.%% %%%.%%.%.%
+%.%....% ooo%.%..%.%
+%.%.%%.% %% %.%.%%.%
+%o%......P....%....%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/layouts/contoursMaze.lay b/layouts/contoursMaze.lay
new file mode 100644
index 0000000..a068956
--- /dev/null
+++ b/layouts/contoursMaze.lay
@@ -0,0 +1,11 @@
+%%%%%%%%%%%%%%%%%%%%%
+%                   %
+%                   %
+%                   %
+%                   %
+%         P         %
+%                   %
+%                   %
+%                   %
+%.                  %
+%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/layouts/greedySearch.lay b/layouts/greedySearch.lay
new file mode 100644
index 0000000..4072363
--- /dev/null
+++ b/layouts/greedySearch.lay
@@ -0,0 +1,8 @@
+%%%%%%
+%....%
+% %%.%
+% %%.%
+%.P .%
+%.%%%%
+%....%
+%%%%%%
\ No newline at end of file
diff --git a/layouts/mediumClassic.lay b/layouts/mediumClassic.lay
new file mode 100644
index 0000000..33c5db8
--- /dev/null
+++ b/layouts/mediumClassic.lay
@@ -0,0 +1,11 @@
+%%%%%%%%%%%%%%%%%%%%
+%o...%........%....%
+%.%%.%.%%%%%%.%.%%.%
+%.%..............%.%
+%.%.%%.%%  %%.%%.%.%
+%......%G  G%......%
+%.%.%%.%%%%%%.%%.%.%
+%.%..............%.%
+%.%%.%.%%%%%%.%.%%.%
+%....%...P....%...o%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/layouts/mediumCorners.lay b/layouts/mediumCorners.lay
new file mode 100644
index 0000000..6a39756
--- /dev/null
+++ b/layouts/mediumCorners.lay
@@ -0,0 +1,14 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%.      % % %              %.%
+%       % % %%%%%% %%%%%%% % %
+%       %        %     % %   %
+%%%%% %%%%% %%% %% %%%%% % %%%
+%   % % % %   %    %     %   %
+% %%% % % % %%%%%%%% %%% %%% %
+%       %     %%     % % %   %
+%%% % %%%%%%% %%%% %%% % % % %
+% %           %%     %     % %
+% % %%%%% % %%%% % %%% %%% % %
+%   %     %      % %   % %%% %
+%.  %P%%%%%      % %%% %    .%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/layouts/mediumDottedMaze.lay b/layouts/mediumDottedMaze.lay
new file mode 100644
index 0000000..103f818
--- /dev/null
+++ b/layouts/mediumDottedMaze.lay
@@ -0,0 +1,18 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                 P%
+% %%%%%%%%%%%%%%%%%%% %%% %%%%%%%% %
+% %%   %   %      %%% %%%   %% ... %
+% %% % % % % %%%% %%%%%%%%% %% %%%%%
+% %% % % % % %    %%     %% %% ... %
+% %% % % % % % %%%%  %%%    %%%%%% %
+% %  % % %   %    %% %%%%%%%%  ... % 
+% %% % % %%%%%%%% %%        %% %%%%%
+% %% %   %%       %%%%%%%%% %% ... %
+%    %%%%%% %%%%%%%      %% %%%%%% %
+%%%%%%      %       %%%% %% %  ... %
+%      %%%%%% %%%%% %    %% %% %%%%%
+% %%%%%%      %       %%%%% %%     %
+%        %%%%%% %%%%%%%%%%% %%  %% %
+%%%%%%%%%%                  %%%%%% %
+%.         %%%%%%%%%%%%%%%% ...... %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/layouts/mediumMaze.lay b/layouts/mediumMaze.lay
new file mode 100644
index 0000000..55c1236
--- /dev/null
+++ b/layouts/mediumMaze.lay
@@ -0,0 +1,18 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                 P%
+% %%%%%%%%%%%%%%%%%%%%%%% %%%%%%%% %
+% %%   %   %      %%%%%%%   %%     %
+% %% % % % % %%%% %%%%%%%%% %% %%%%%
+% %% % % % %             %% %%     %
+% %% % % % % % %%%%  %%%    %%%%%% %
+% %  % % %   %    %% %%%%%%%%      % 
+% %% % % %%%%%%%% %%        %% %%%%%
+% %% %   %%       %%%%%%%%% %%     %
+%    %%%%%% %%%%%%%      %% %%%%%% %
+%%%%%%      %       %%%% %% %      %
+%      %%%%%% %%%%% %    %% %% %%%%%
+% %%%%%%      %       %%%%% %%     %
+%        %%%%%% %%%%%%%%%%% %%  %% %
+%%%%%%%%%%                  %%%%%% %
+%.         %%%%%%%%%%%%%%%%        %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/layouts/mediumSafeSearch.lay b/layouts/mediumSafeSearch.lay
new file mode 100644
index 0000000..e7d6b1c
--- /dev/null
+++ b/layouts/mediumSafeSearch.lay
@@ -0,0 +1,6 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%.%     ....%% G %%%%%%   o%%.%
+%.%o%%%%%%%.%%%%%%%     %%%%%.%
+% %%%.%%%%%.%%%%%%%.%%%.%.%%%.%
+%    ..........Po...%.........%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/layouts/mediumScaryMaze.lay b/layouts/mediumScaryMaze.lay
new file mode 100644
index 0000000..65d4c33
--- /dev/null
+++ b/layouts/mediumScaryMaze.lay
@@ -0,0 +1,18 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                   P%
+% %%%%%%%%%%%%%%%%%%% %%%  %%%%%%%%  %
+% %%   %   %      %%% %%%    %%GG    %
+% %% % % % % %%%% %%%%%%%%%  %%  %%%%%
+% %% % % % % %    %%GG       %%      %
+% %% % % % % % %%%%%  %%%    %%%%%%  %
+% %% % % %   %    %%  %%%%%%%%%      % 
+% %% % % %%%%%%%% %%         %%  %%%%%
+% %% %   %%       %%%%%%%%%  %%      %
+%    %%% %% %%%%%%%      %%  %%%%%%  %
+%%%%%%      %       %    %%  %%      %
+%      %%%%%% %%   %%    %%  %%  %%%%%
+% %%%%%%      %       %%%%%  %%      %
+%          %%%%       %%%%%  %%%%%%  %
+%%%%%%%%   %                 %%%%%%  %
+%.         %%%%%%%%%%%%%%%%          %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/layouts/mediumSearch.lay b/layouts/mediumSearch.lay
new file mode 100644
index 0000000..2f8af42
--- /dev/null
+++ b/layouts/mediumSearch.lay
@@ -0,0 +1,8 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%............%%%%%............%
+%%%.%...%%%.........%.%...%.%%%
+%...%%%.%.%%%%.%.%%%%%%.%%%...%
+%.%.....%......%......%.....%.%
+%.%%%.%%%%%.%%%%%%%.%%%.%.%%%%%
+%.....%........P....%...%.....%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/layouts/minimaxClassic.lay b/layouts/minimaxClassic.lay
new file mode 100644
index 0000000..a547397
--- /dev/null
+++ b/layouts/minimaxClassic.lay
@@ -0,0 +1,5 @@
+%%%%%%%%%
+%.P    G% 
+% %.%G%%%  
+%G    %%% 
+%%%%%%%%%
diff --git a/layouts/oddSearch.lay b/layouts/oddSearch.lay
new file mode 100644
index 0000000..2ddbc9a
--- /dev/null
+++ b/layouts/oddSearch.lay
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%%
+%...%.........%%...%
+%.%.%.%%%%%%%%%%.%.%
+%..................%
+%%%%%%%%.%.%%%%%%%P%
+%%%%%%%%.......    %
+%%%%%%%%%%%%%%%%%%%%
diff --git a/layouts/openClassic.lay b/layouts/openClassic.lay
new file mode 100644
index 0000000..6760b42
--- /dev/null
+++ b/layouts/openClassic.lay
@@ -0,0 +1,9 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%
+%.. P  ....      ....   %
+%..  ...  ...  ...  ... %
+%..  ...  ...  ...  ... %
+%..    ....      .... G %
+%..  ...  ...  ...  ... %
+%..  ...  ...  ...  ... %
+%..    ....      ....  o%
+%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/layouts/openMaze.lay b/layouts/openMaze.lay
new file mode 100644
index 0000000..5dee689
--- /dev/null
+++ b/layouts/openMaze.lay
@@ -0,0 +1,23 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                  P%
+%            %                      %
+%            %                      %
+%            %                      %
+%            %                      %
+%            %                      %
+%            %      %               %
+%            %      %               %
+%            %      %               %
+%            %      %               %
+%            %      %               %
+%            %      %               %
+%            %      %               %
+%%%%%%%%%%%%%%      %%%%%%%%%%%%%%%%%
+%            %                      %
+%            %                      %
+%            %                      %
+%                                   %
+%                                   %
+%                                   %
+%.                                  %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/layouts/openSearch.lay b/layouts/openSearch.lay
new file mode 100644
index 0000000..f02d21d
--- /dev/null
+++ b/layouts/openSearch.lay
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%%
+%..................%
+%..................%
+%........P.........%
+%..................%
+%..................%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/layouts/originalClassic.lay b/layouts/originalClassic.lay
new file mode 100644
index 0000000..b2770c5
--- /dev/null
+++ b/layouts/originalClassic.lay
@@ -0,0 +1,27 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%............%%............%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%o%%%%.%%%%%.%%.%%%%%.%%%%o%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%..........................%
+%.%%%%.%%.%%%%%%%%.%%.%%%%.%
+%.%%%%.%%.%%%%%%%%.%%.%%%%.%
+%......%%....%%....%%......%
+%%%%%%.%%%%% %% %%%%%.%%%%%%
+%%%%%%.%%%%% %% %%%%%.%%%%%%
+%%%%%%.%            %.%%%%%%
+%%%%%%.% %%%%  %%%% %.%%%%%%
+%     .  %G  GG  G%  .     %
+%%%%%%.% %%%%%%%%%% %.%%%%%%
+%%%%%%.%            %.%%%%%%
+%%%%%%.% %%%%%%%%%% %.%%%%%%
+%............%%............%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%o..%%.......  .......%%..o%
+%%%.%%.%%.%%%%%%%%.%%.%%.%%%
+%%%.%%.%%.%%%%%%%%.%%.%%.%%%
+%......%%....%%....%%......%
+%.%%%%%%%%%%.%%.%%%%%%%%%%.%
+%.............P............%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/layouts/powerClassic.lay b/layouts/powerClassic.lay
new file mode 100644
index 0000000..3f3d983
--- /dev/null
+++ b/layouts/powerClassic.lay
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%%
+%o....o%GGGG%o....o%
+%..%...%%  %%...%..%
+%.%o.%........%.o%.%
+%.o%.%.%%%%%%.%.%o.%
+%........P.........%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/layouts/smallClassic.lay b/layouts/smallClassic.lay
new file mode 100644
index 0000000..ce6c1d9
--- /dev/null
+++ b/layouts/smallClassic.lay
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%%
+%......%G  G%......%
+%.%%...%%  %%...%%.%
+%.%o.%........%.o%.%
+%.%%.%.%%%%%%.%.%%.%
+%........P.........%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/layouts/smallMaze.lay b/layouts/smallMaze.lay
new file mode 100644
index 0000000..72d3ffc
--- /dev/null
+++ b/layouts/smallMaze.lay
@@ -0,0 +1,10 @@
+%%%%%%%%%%%%%%%%%%%%%%
+% %%        % %      %
+%    %%%%%% % %%%%%% %
+%%%%%%     P  %      %
+%    % %%%%%% %% %%%%%
+% %%%% %         %   %
+%        %%% %%%   % %
+%%%%%%%%%%    %%%%%% %
+%.         %%        %
+%%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/layouts/smallSafeSearch.lay b/layouts/smallSafeSearch.lay
new file mode 100644
index 0000000..b97feaa
--- /dev/null
+++ b/layouts/smallSafeSearch.lay
@@ -0,0 +1,15 @@
+%%%%%%%%%
+%.. % G %
+%%% %%%%%
+%       %
+%%%%%%% %
+%       %
+% %%%%% %
+%     % %
+%%%%% % %
+%     %o%
+% %%%%%%%
+%      .%
+%%%%%%%.%
+%Po    .%
+%%%%%%%%%
diff --git a/layouts/smallSearch.lay b/layouts/smallSearch.lay
new file mode 100644
index 0000000..c2321d4
--- /dev/null
+++ b/layouts/smallSearch.lay
@@ -0,0 +1,5 @@
+%%%%%%%%%%%%%%%%%%%%
+%.           ...P .%
+%.%%.%%.%%.%%.%% %.%
+% %% %.....      %.%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/layouts/testClassic.lay b/layouts/testClassic.lay
new file mode 100644
index 0000000..4b3ffca
--- /dev/null
+++ b/layouts/testClassic.lay
@@ -0,0 +1,10 @@
+%%%%%
+% . %
+%.G.%
+% . %
+%. .%
+%   %
+%  .%
+%   %
+%P .%
+%%%%%
diff --git a/layouts/testMaze.lay b/layouts/testMaze.lay
new file mode 100644
index 0000000..4d259a4
--- /dev/null
+++ b/layouts/testMaze.lay
@@ -0,0 +1,3 @@
+%%%%%%%%%%
+%.      P%
+%%%%%%%%%%
diff --git a/layouts/testSearch.lay b/layouts/testSearch.lay
new file mode 100644
index 0000000..25bad23
--- /dev/null
+++ b/layouts/testSearch.lay
@@ -0,0 +1,5 @@
+%%%%%
+%.P %
+%%% %
+%.  %
+%%%%%
diff --git a/layouts/tinyCorners.lay b/layouts/tinyCorners.lay
new file mode 100644
index 0000000..526c880
--- /dev/null
+++ b/layouts/tinyCorners.lay
@@ -0,0 +1,8 @@
+%%%%%%%%
+%.    .%
+%   P  %
+% %%%% %
+% %    %
+% % %%%%
+%.%   .%
+%%%%%%%%
diff --git a/layouts/tinyMaze.lay b/layouts/tinyMaze.lay
new file mode 100644
index 0000000..f7035a5
--- /dev/null
+++ b/layouts/tinyMaze.lay
@@ -0,0 +1,7 @@
+%%%%%%%
+%    P%
+% %%% %
+%  %  %
+%%   %%
+%. %%%%
+%%%%%%%
diff --git a/layouts/tinySafeSearch.lay b/layouts/tinySafeSearch.lay
new file mode 100644
index 0000000..fea6860
--- /dev/null
+++ b/layouts/tinySafeSearch.lay
@@ -0,0 +1,7 @@
+%%%%%%%%%
+% G %...%
+%%%%%%% %
+%Po     %
+%.%%.%%.%
+%.%%....%
+%%%%%%%%%
diff --git a/layouts/tinySearch.lay b/layouts/tinySearch.lay
new file mode 100644
index 0000000..c51f4b0
--- /dev/null
+++ b/layouts/tinySearch.lay
@@ -0,0 +1,7 @@
+%%%%%%%%%
+%..   ..%
+%%%%.%% %
+%   P   %
+%.%% %%.%
+%.%.   .%
+%%%%%%%%%
diff --git a/layouts/trappedClassic.lay b/layouts/trappedClassic.lay
new file mode 100644
index 0000000..289557f
--- /dev/null
+++ b/layouts/trappedClassic.lay
@@ -0,0 +1,5 @@
+%%%%%%%%
+%   P G%
+%G%%%%%%
+%....  %
+%%%%%%%%
diff --git a/layouts/trickyClassic.lay b/layouts/trickyClassic.lay
new file mode 100644
index 0000000..ffa156c
--- /dev/null
+++ b/layouts/trickyClassic.lay
@@ -0,0 +1,13 @@
+%%%%%%%%%%%%%%%%%%%%
+%o...%........%...o%
+%.%%.%.%%..%%.%.%%.%
+%.%.....%..%.....%.%
+%.%.%%.%%  %%.%%.%.%
+%...... GGGG%.%....%
+%.%....%%%%%%.%..%.%
+%.%....%  oo%.%..%.%
+%.%....% %%%%.%..%.%
+%.%...........%..%.%
+%.%%.%.%%%%%%.%.%%.%
+%o...%...P....%...o%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/layouts/trickySearch.lay b/layouts/trickySearch.lay
new file mode 100644
index 0000000..4a607e6
--- /dev/null
+++ b/layouts/trickySearch.lay
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%%
+%.           ..%   %
+%.%%.%%.%%.%%.%% % %
+%        P       % %
+%%%%%%%%%%%%%%%%%% %
+%.....             %
+%%%%%%%%%%%%%%%%%%%%
diff --git a/pacman.py b/pacman.py
new file mode 100644
index 0000000..0a527c2
--- /dev/null
+++ b/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, 'rb')
+        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, 'wb')
+            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/pacmanAgents.py b/pacmanAgents.py
new file mode 100644
index 0000000..ae97634
--- /dev/null
+++ b/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(0, 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/projectParams.py b/projectParams.py
new file mode 100644
index 0000000..dc3e9d1
--- /dev/null
+++ b/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 = 'searchAgents.py,search.py'
+PROJECT_TEST_CLASSES = 'searchTestClasses.py'
+PROJECT_NAME = 'Project 1: Search'
+BONUS_PIC = False
diff --git a/search.py b/search.py
new file mode 100644
index 0000000..b7b934b
--- /dev/null
+++ b/search.py
@@ -0,0 +1,121 @@
+# search.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).
+
+
+"""
+In search.py, you will implement generic search algorithms which are called by
+Pacman agents (in searchAgents.py).
+"""
+
+import util
+from game import Directions
+from typing import List
+
+class SearchProblem:
+    """
+    This class outlines the structure of a search problem, but doesn't implement
+    any of the methods (in object-oriented terminology: an abstract class).
+
+    You do not need to change anything in this class, ever.
+    """
+
+    def getStartState(self):
+        """
+        Returns the start state for the search problem.
+        """
+        util.raiseNotDefined()
+
+    def isGoalState(self, state):
+        """
+          state: Search state
+
+        Returns True if and only if the state is a valid goal state.
+        """
+        util.raiseNotDefined()
+
+    def getSuccessors(self, state):
+        """
+          state: Search state
+
+        For a given state, this should return a list of triples, (successor,
+        action, stepCost), where 'successor' is a successor to the current
+        state, 'action' is the action required to get there, and 'stepCost' is
+        the incremental cost of expanding to that successor.
+        """
+        util.raiseNotDefined()
+
+    def getCostOfActions(self, actions):
+        """
+         actions: A list of actions to take
+
+        This method returns the total cost of a particular sequence of actions.
+        The sequence must be composed of legal moves.
+        """
+        util.raiseNotDefined()
+
+
+
+
+def tinyMazeSearch(problem: SearchProblem) -> List[Directions]:
+    """
+    Returns a sequence of moves that solves tinyMaze.  For any other maze, the
+    sequence of moves will be incorrect, so only use this for tinyMaze.
+    """
+    s = Directions.SOUTH
+    w = Directions.WEST
+    return  [s, s, w, s, w, w, s, w]
+
+def depthFirstSearch(problem: SearchProblem) -> List[Directions]:
+    """
+    Search the deepest nodes in the search tree first.
+
+    Your search algorithm needs to return a list of actions that reaches the
+    goal. Make sure to implement a graph search algorithm.
+
+    To get started, you might want to try some of these simple commands to
+    understand the search problem that is being passed in:
+
+    print("Start:", problem.getStartState())
+    print("Is the start a goal?", problem.isGoalState(problem.getStartState()))
+    print("Start's successors:", problem.getSuccessors(problem.getStartState()))
+    """
+    "*** YOUR CODE HERE ***"
+    util.raiseNotDefined()
+
+def breadthFirstSearch(problem: SearchProblem) -> List[Directions]:
+    """Search the shallowest nodes in the search tree first."""
+    "*** YOUR CODE HERE ***"
+    util.raiseNotDefined()
+
+def uniformCostSearch(problem: SearchProblem) -> List[Directions]:
+    """Search the node of least total cost first."""
+    "*** YOUR CODE HERE ***"
+    util.raiseNotDefined()
+
+def nullHeuristic(state, problem=None) -> float:
+    """
+    A heuristic function estimates the cost from the current state to the nearest
+    goal in the provided SearchProblem.  This heuristic is trivial.
+    """
+    return 0
+
+def aStarSearch(problem: SearchProblem, heuristic=nullHeuristic) -> List[Directions]:
+    """Search the node that has the lowest combined cost and heuristic first."""
+    "*** YOUR CODE HERE ***"
+    util.raiseNotDefined()
+
+# Abbreviations
+bfs = breadthFirstSearch
+dfs = depthFirstSearch
+astar = aStarSearch
+ucs = uniformCostSearch
diff --git a/searchAgents.py b/searchAgents.py
new file mode 100644
index 0000000..a91bd0d
--- /dev/null
+++ b/searchAgents.py
@@ -0,0 +1,542 @@
+# searchAgents.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 all of the agents that can be selected to control Pacman.  To
+select an agent, use the '-p' option when running pacman.py.  Arguments can be
+passed to your agent using '-a'.  For example, to load a SearchAgent that uses
+depth first search (dfs), run the following command:
+
+> python pacman.py -p SearchAgent -a fn=depthFirstSearch
+
+Commands to invoke other search strategies can be found in the project
+description.
+
+Please only change the parts of the file you are asked to.  Look for the lines
+that say
+
+"*** YOUR CODE HERE ***"
+
+The parts you fill in start about 3/4 of the way down.  Follow the project
+description for details.
+
+Good luck and happy searching!
+"""
+
+from typing import List, Tuple, Any
+from game import Directions
+from game import Agent
+from game import Actions
+import util
+import time
+import search
+import pacman
+
+class GoWestAgent(Agent):
+    "An agent that goes West until it can't."
+
+    def getAction(self, state):
+        "The agent receives a GameState (defined in pacman.py)."
+        if Directions.WEST in state.getLegalPacmanActions():
+            return Directions.WEST
+        else:
+            return Directions.STOP
+
+#######################################################
+# This portion is written for you, but will only work #
+#       after you fill in parts of search.py          #
+#######################################################
+
+class SearchAgent(Agent):
+    """
+    This very general search agent finds a path using a supplied search
+    algorithm for a supplied search problem, then returns actions to follow that
+    path.
+
+    As a default, this agent runs DFS on a PositionSearchProblem to find
+    location (1,1)
+
+    Options for fn include:
+      depthFirstSearch or dfs
+      breadthFirstSearch or bfs
+
+
+    Note: You should NOT change any code in SearchAgent
+    """
+
+    def __init__(self, fn='depthFirstSearch', prob='PositionSearchProblem', heuristic='nullHeuristic'):
+        # Warning: some advanced Python magic is employed below to find the right functions and problems
+
+        # Get the search function from the name and heuristic
+        if fn not in dir(search):
+            raise AttributeError(fn + ' is not a search function in search.py.')
+        func = getattr(search, fn)
+        if 'heuristic' not in func.__code__.co_varnames:
+            print('[SearchAgent] using function ' + fn)
+            self.searchFunction = func
+        else:
+            if heuristic in globals().keys():
+                heur = globals()[heuristic]
+            elif heuristic in dir(search):
+                heur = getattr(search, heuristic)
+            else:
+                raise AttributeError(heuristic + ' is not a function in searchAgents.py or search.py.')
+            print('[SearchAgent] using function %s and heuristic %s' % (fn, heuristic))
+            # Note: this bit of Python trickery combines the search algorithm and the heuristic
+            self.searchFunction = lambda x: func(x, heuristic=heur)
+
+        # Get the search problem type from the name
+        if prob not in globals().keys() or not prob.endswith('Problem'):
+            raise AttributeError(prob + ' is not a search problem type in SearchAgents.py.')
+        self.searchType = globals()[prob]
+        print('[SearchAgent] using problem type ' + prob)
+
+    def registerInitialState(self, state):
+        """
+        This is the first time that the agent sees the layout of the game
+        board. Here, we choose a path to the goal. In this phase, the agent
+        should compute the path to the goal and store it in a local variable.
+        All of the work is done in this method!
+
+        state: a GameState object (pacman.py)
+        """
+        if self.searchFunction == None: raise Exception("No search function provided for SearchAgent")
+        starttime = time.time()
+        problem = self.searchType(state) # Makes a new search problem
+        self.actions  = self.searchFunction(problem) # Find a path
+        if self.actions == None:
+            self.actions = []
+        totalCost = problem.getCostOfActions(self.actions)
+        print('Path found with total cost of %d in %.1f seconds' % (totalCost, time.time() - starttime))
+        if '_expanded' in dir(problem): print('Search nodes expanded: %d' % problem._expanded)
+
+    def getAction(self, state):
+        """
+        Returns the next action in the path chosen earlier (in
+        registerInitialState).  Return Directions.STOP if there is no further
+        action to take.
+
+        state: a GameState object (pacman.py)
+        """
+        if 'actionIndex' not in dir(self): self.actionIndex = 0
+        i = self.actionIndex
+        self.actionIndex += 1
+        if i < len(self.actions):
+            return self.actions[i]
+        else:
+            return Directions.STOP
+
+class PositionSearchProblem(search.SearchProblem):
+    """
+    A search problem defines the state space, start state, goal test, successor
+    function and cost function.  This search problem can be used to find paths
+    to a particular point on the pacman board.
+
+    The state space consists of (x,y) positions in a pacman game.
+
+    Note: this search problem is fully specified; you should NOT change it.
+    """
+
+    def __init__(self, gameState, costFn = lambda x: 1, goal=(1,1), start=None, warn=True, visualize=True):
+        """
+        Stores the start and goal.
+
+        gameState: A GameState object (pacman.py)
+        costFn: A function from a search state (tuple) to a non-negative number
+        goal: A position in the gameState
+        """
+        self.walls = gameState.getWalls()
+        self.startState = gameState.getPacmanPosition()
+        if start != None: self.startState = start
+        self.goal = goal
+        self.costFn = costFn
+        self.visualize = visualize
+        if warn and (gameState.getNumFood() != 1 or not gameState.hasFood(*goal)):
+            print('Warning: this does not look like a regular search maze')
+
+        # For display purposes
+        self._visited, self._visitedlist, self._expanded = {}, [], 0 # DO NOT CHANGE
+
+    def getStartState(self):
+        return self.startState
+
+    def isGoalState(self, state):
+        isGoal = state == self.goal
+
+        # For display purposes only
+        if isGoal and self.visualize:
+            self._visitedlist.append(state)
+            import __main__
+            if '_display' in dir(__main__):
+                if 'drawExpandedCells' in dir(__main__._display): #@UndefinedVariable
+                    __main__._display.drawExpandedCells(self._visitedlist) #@UndefinedVariable
+
+        return isGoal
+
+    def getSuccessors(self, state):
+        """
+        Returns successor states, the actions they require, and a cost of 1.
+
+         As noted in search.py:
+             For a given state, this should return a list of triples,
+         (successor, action, stepCost), where 'successor' is a
+         successor to the current state, 'action' is the action
+         required to get there, and 'stepCost' is the incremental
+         cost of expanding to that successor
+        """
+
+        successors = []
+        for action in [Directions.NORTH, Directions.SOUTH, Directions.EAST, Directions.WEST]:
+            x,y = state
+            dx, dy = Actions.directionToVector(action)
+            nextx, nexty = int(x + dx), int(y + dy)
+            if not self.walls[nextx][nexty]:
+                nextState = (nextx, nexty)
+                cost = self.costFn(nextState)
+                successors.append( ( nextState, action, cost) )
+
+        # Bookkeeping for display purposes
+        self._expanded += 1 # DO NOT CHANGE
+        if state not in self._visited:
+            self._visited[state] = True
+            self._visitedlist.append(state)
+
+        return successors
+
+    def getCostOfActions(self, actions):
+        """
+        Returns the cost of a particular sequence of actions. If those actions
+        include an illegal move, return 999999.
+        """
+        if actions == None: return 999999
+        x,y= self.getStartState()
+        cost = 0
+        for action in actions:
+            # Check figure out the next state and see whether its' legal
+            dx, dy = Actions.directionToVector(action)
+            x, y = int(x + dx), int(y + dy)
+            if self.walls[x][y]: return 999999
+            cost += self.costFn((x,y))
+        return cost
+
+class StayEastSearchAgent(SearchAgent):
+    """
+    An agent for position search with a cost function that penalizes being in
+    positions on the West side of the board.
+
+    The cost function for stepping into a position (x,y) is 1/2^x.
+    """
+    def __init__(self):
+        self.searchFunction = search.uniformCostSearch
+        costFn = lambda pos: .5 ** pos[0]
+        self.searchType = lambda state: PositionSearchProblem(state, costFn, (1, 1), None, False)
+
+class StayWestSearchAgent(SearchAgent):
+    """
+    An agent for position search with a cost function that penalizes being in
+    positions on the East side of the board.
+
+    The cost function for stepping into a position (x,y) is 2^x.
+    """
+    def __init__(self):
+        self.searchFunction = search.uniformCostSearch
+        costFn = lambda pos: 2 ** pos[0]
+        self.searchType = lambda state: PositionSearchProblem(state, costFn)
+
+def manhattanHeuristic(position, problem, info={}):
+    "The Manhattan distance heuristic for a PositionSearchProblem"
+    xy1 = position
+    xy2 = problem.goal
+    return abs(xy1[0] - xy2[0]) + abs(xy1[1] - xy2[1])
+
+def euclideanHeuristic(position, problem, info={}):
+    "The Euclidean distance heuristic for a PositionSearchProblem"
+    xy1 = position
+    xy2 = problem.goal
+    return ( (xy1[0] - xy2[0]) ** 2 + (xy1[1] - xy2[1]) ** 2 ) ** 0.5
+
+#####################################################
+# This portion is incomplete.  Time to write code!  #
+#####################################################
+
+class CornersProblem(search.SearchProblem):
+    """
+    This search problem finds paths through all four corners of a layout.
+
+    You must select a suitable state space and successor function
+    """
+
+    def __init__(self, startingGameState: pacman.GameState):
+        """
+        Stores the walls, pacman's starting position and corners.
+        """
+        self.walls = startingGameState.getWalls()
+        self.startingPosition = startingGameState.getPacmanPosition()
+        top, right = self.walls.height-2, self.walls.width-2
+        self.corners = ((1,1), (1,top), (right, 1), (right, top))
+        for corner in self.corners:
+            if not startingGameState.hasFood(*corner):
+                print('Warning: no food in corner ' + str(corner))
+        self._expanded = 0 # DO NOT CHANGE; Number of search nodes expanded
+
+    def getStartState(self):
+        """
+        Returns the start state (in your state space, not the full Pacman state
+        space)
+        """
+        "*** YOUR CODE HERE ***"
+        util.raiseNotDefined()
+
+    def isGoalState(self, state: Any):
+        """
+        Returns whether this search state is a goal state of the problem.
+        """
+        "*** YOUR CODE HERE ***"
+        util.raiseNotDefined()
+
+    def getSuccessors(self, state: Any):
+        """
+        Returns successor states, the actions they require, and a cost of 1.
+
+         As noted in search.py:
+            For a given state, this should return a list of triples, (successor,
+            action, stepCost), where 'successor' is a successor to the current
+            state, 'action' is the action required to get there, and 'stepCost'
+            is the incremental cost of expanding to that successor
+        """
+
+        successors = []
+        for action in [Directions.NORTH, Directions.SOUTH, Directions.EAST, Directions.WEST]:
+            # Add a successor state to the successor list if the action is legal
+            # Here's a code snippet for figuring out whether a new position hits a wall:
+            #   x,y = currentPosition
+            #   dx, dy = Actions.directionToVector(action)
+            #   nextx, nexty = int(x + dx), int(y + dy)
+            #   hitsWall = self.walls[nextx][nexty]
+
+            "*** YOUR CODE HERE ***"
+
+        self._expanded += 1 # DO NOT CHANGE
+        return successors
+
+    def getCostOfActions(self, actions):
+        """
+        Returns the cost of a particular sequence of actions.  If those actions
+        include an illegal move, return 999999.  This is implemented for you.
+        """
+        if actions == None: return 999999
+        x,y= self.startingPosition
+        for action in actions:
+            dx, dy = Actions.directionToVector(action)
+            x, y = int(x + dx), int(y + dy)
+            if self.walls[x][y]: return 999999
+        return len(actions)
+
+
+
+def cornersHeuristic(state: Any, problem: CornersProblem):
+    """
+    A heuristic for the CornersProblem that you defined.
+
+      state:   The current search state
+               (a data structure you chose in your search problem)
+
+      problem: The CornersProblem instance for this layout.
+
+    This function should always return a number that is a lower bound on the
+    shortest path from the state to a goal of the problem; i.e.  it should be
+    admissible.
+    """
+    corners = problem.corners # These are the corner coordinates
+    walls = problem.walls # These are the walls of the maze, as a Grid (game.py)
+
+    "*** YOUR CODE HERE ***"
+    return 0 # Default to trivial solution
+
+
+
+class AStarCornersAgent(SearchAgent):
+    "A SearchAgent for FoodSearchProblem using A* and your foodHeuristic"
+    def __init__(self):
+        self.searchFunction = lambda prob: search.aStarSearch(prob, cornersHeuristic)
+        self.searchType = CornersProblem
+
+class FoodSearchProblem:
+    """
+    A search problem associated with finding the a path that collects all of the
+    food (dots) in a Pacman game.
+
+    A search state in this problem is a tuple ( pacmanPosition, foodGrid ) where
+      pacmanPosition: a tuple (x,y) of integers specifying Pacman's position
+      foodGrid:       a Grid (see game.py) of either True or False, specifying remaining food
+    """
+    def __init__(self, startingGameState: pacman.GameState):
+        self.start = (startingGameState.getPacmanPosition(), startingGameState.getFood())
+        self.walls = startingGameState.getWalls()
+        self.startingGameState = startingGameState
+        self._expanded = 0 # DO NOT CHANGE
+        self.heuristicInfo = {} # A dictionary for the heuristic to store information
+
+    def getStartState(self):
+        return self.start
+
+    def isGoalState(self, state):
+        return state[1].count() == 0
+
+    def getSuccessors(self, state):
+        "Returns successor states, the actions they require, and a cost of 1."
+        successors = []
+        self._expanded += 1 # DO NOT CHANGE
+        for direction in [Directions.NORTH, Directions.SOUTH, Directions.EAST, Directions.WEST]:
+            x,y = state[0]
+            dx, dy = Actions.directionToVector(direction)
+            nextx, nexty = int(x + dx), int(y + dy)
+            if not self.walls[nextx][nexty]:
+                nextFood = state[1].copy()
+                nextFood[nextx][nexty] = False
+                successors.append( ( ((nextx, nexty), nextFood), direction, 1) )
+        return successors
+
+    def getCostOfActions(self, actions):
+        """Returns the cost of a particular sequence of actions.  If those actions
+        include an illegal move, return 999999"""
+        x,y= self.getStartState()[0]
+        cost = 0
+        for action in actions:
+            # figure out the next state and see whether it's legal
+            dx, dy = Actions.directionToVector(action)
+            x, y = int(x + dx), int(y + dy)
+            if self.walls[x][y]:
+                return 999999
+            cost += 1
+        return cost
+
+class AStarFoodSearchAgent(SearchAgent):
+    "A SearchAgent for FoodSearchProblem using A* and your foodHeuristic"
+    def __init__(self):
+        self.searchFunction = lambda prob: search.aStarSearch(prob, foodHeuristic)
+        self.searchType = FoodSearchProblem
+
+def foodHeuristic(state: Tuple[Tuple, List[List]], problem: FoodSearchProblem):
+    """
+    Your heuristic for the FoodSearchProblem goes here.
+
+    If using A* ever finds a solution that is worse uniform cost search finds,
+    your search may have a but our your heuristic is not admissible!  On the
+    other hand, inadmissible heuristics may find optimal solutions, so be careful.
+
+    The state is a tuple ( pacmanPosition, foodGrid ) where foodGrid is a Grid
+    (see game.py) of either True or False. You can call foodGrid.asList() to get
+    a list of food coordinates instead.
+
+    If you want access to info like walls, capsules, etc., you can query the
+    problem.  For example, problem.walls gives you a Grid of where the walls
+    are.
+
+    If you want to *store* information to be reused in other calls to the
+    heuristic, there is a dictionary called problem.heuristicInfo that you can
+    use. For example, if you only want to count the walls once and store that
+    value, try: problem.heuristicInfo['wallCount'] = problem.walls.count()
+    Subsequent calls to this heuristic can access
+    problem.heuristicInfo['wallCount']
+    """
+    position, foodGrid = state
+    "*** YOUR CODE HERE ***"
+    return 0
+
+
+class ClosestDotSearchAgent(SearchAgent):
+    "Search for all food using a sequence of searches"
+    def registerInitialState(self, state):
+        self.actions = []
+        currentState = state
+        while(currentState.getFood().count() > 0):
+            nextPathSegment = self.findPathToClosestDot(currentState) # The missing piece
+            self.actions += nextPathSegment
+            for action in nextPathSegment:
+                legal = currentState.getLegalActions()
+                if action not in legal:
+                    t = (str(action), str(currentState))
+                    raise Exception('findPathToClosestDot returned an illegal move: %s!\n%s' % t)
+                currentState = currentState.generateSuccessor(0, action)
+        self.actionIndex = 0
+        print('Path found with cost %d.' % len(self.actions))
+
+    def findPathToClosestDot(self, gameState: pacman.GameState):
+        """
+        Returns a path (a list of actions) to the closest dot, starting from
+        gameState.
+        """
+        # Here are some useful elements of the startState
+        startPosition = gameState.getPacmanPosition()
+        food = gameState.getFood()
+        walls = gameState.getWalls()
+        problem = AnyFoodSearchProblem(gameState)
+
+        "*** YOUR CODE HERE ***"
+        util.raiseNotDefined()
+
+class AnyFoodSearchProblem(PositionSearchProblem):
+    """
+    A search problem for finding a path to any food.
+
+    This search problem is just like the PositionSearchProblem, but has a
+    different goal test, which you need to fill in below.  The state space and
+    successor function do not need to be changed.
+
+    The class definition above, AnyFoodSearchProblem(PositionSearchProblem),
+    inherits the methods of the PositionSearchProblem.
+
+    You can use this search problem to help you fill in the findPathToClosestDot
+    method.
+    """
+
+    def __init__(self, gameState):
+        "Stores information from the gameState.  You don't need to change this."
+        # Store the food for later reference
+        self.food = gameState.getFood()
+
+        # Store info for the PositionSearchProblem (no need to change this)
+        self.walls = gameState.getWalls()
+        self.startState = gameState.getPacmanPosition()
+        self.costFn = lambda x: 1
+        self._visited, self._visitedlist, self._expanded = {}, [], 0 # DO NOT CHANGE
+
+    def isGoalState(self, state: Tuple[int, int]):
+        """
+        The state is Pacman's position. Fill this in with a goal test that will
+        complete the problem definition.
+        """
+        x,y = state
+
+        "*** YOUR CODE HERE ***"
+        util.raiseNotDefined()
+
+def mazeDistance(point1: Tuple[int, int], point2: Tuple[int, int], gameState: pacman.GameState) -> int:
+    """
+    Returns the maze distance between any two points, using the search functions
+    you have already built. The gameState can be any game state -- Pacman's
+    position in that state is ignored.
+
+    Example usage: mazeDistance( (2,4), (5,6), gameState)
+
+    This might be a useful helper function for your ApproximateSearchAgent.
+    """
+    x1, y1 = point1
+    x2, y2 = point2
+    walls = gameState.getWalls()
+    assert not walls[x1][y1], 'point1 is a wall: ' + str(point1)
+    assert not walls[x2][y2], 'point2 is a wall: ' + str(point2)
+    prob = PositionSearchProblem(gameState, start=point1, goal=point2, warn=False, visualize=False)
+    return len(search.bfs(prob))
diff --git a/util.py b/util.py
new file mode 100644
index 0000000..c1ca40b
--- /dev/null
+++ b/util.py
@@ -0,0 +1,673 @@
+# 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
+
+
+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, \
+            776561771, 702988163, 1636311725, 2559226045, 157578202, 2498342920, 2794591496, \
+            4130598723, 496985844, 2944563015, 3731321600, 3514814613, 3362575829, 3038768745, \
+            2206497038, 1108748846, 1317460727, 3134077628, 988312410, 1674063516, 746456451, \
+            3958482413, 1857117812, 708750586, 1583423339, 3466495450, 1536929345, 1137240525, \
+            3875025632, 2466137587, 1235845595, 4214575620, 3792516855, 657994358, 1241843248, \
+            1695651859, 3678946666, 1929922113, 2351044952, 2317810202, 2039319015, 460787996, \
+            3654096216, 4068721415, 1814163703, 2904112444, 1386111013, 574629867, 2654529343, \
+            3833135042, 2725328455, 552431551, 4006991378, 1331562057, 3710134542, 303171486, \
+            1203231078, 2670768975, 54570816, 2679609001, 578983064, 1271454725, 3230871056, \
+            2496832891, 2944938195, 1608828728, 367886575, 2544708204, 103775539, 1912402393, \
+            1098482180, 2738577070, 3091646463, 1505274463, 2079416566, 659100352, 839995305, \
+            1696257633, 274389836, 3973303017, 671127655, 1061109122, 517486945, 1379749962, \
+            3421383928, 3116950429, 2165882425, 2346928266, 2892678711, 2936066049, 1316407868, \
+            2873411858, 4279682888, 2744351923, 3290373816, 1014377279, 955200944, 4220990860, \
+            2386098930, 1772997650, 3757346974, 1621616438, 2877097197, 442116595, 2010480266, \
+            2867861469, 2955352695, 605335967, 2222936009, 2067554933, 4129906358, 1519608541, \
+            1195006590, 1942991038, 2736562236, 279162408, 1415982909, 4099901426, 1732201505, \
+            2934657937, 860563237, 2479235483, 3081651097, 2244720867, 3112631622, 1636991639, \
+            3860393305, 2312061927, 48780114, 1149090394, 2643246550, 1764050647, 3836789087, \
+            3474859076, 4237194338, 1735191073, 2150369208, 92164394, 756974036, 2314453957, \
+            323969533, 4267621035, 283649842, 810004843, 727855536, 1757827251, 3334960421, \
+            3261035106, 38417393, 2660980472, 1256633965, 2184045390, 811213141, 2857482069, \
+            2237770878, 3891003138, 2787806886, 2435192790, 2249324662, 3507764896, 995388363, \
+            856944153, 619213904, 3233967826, 3703465555, 3286531781, 3863193356, 2992340714, \
+            413696855, 3865185632, 1704163171, 3043634452, 2225424707, 2199018022, 3506117517, \
+            3311559776, 3374443561, 1207829628, 668793165, 1822020716, 2082656160, 1160606415, \
+            3034757648, 741703672, 3094328738, 459332691, 2702383376, 1610239915, 4162939394, \
+            557861574, 3805706338, 3832520705, 1248934879, 3250424034, 892335058, 74323433, \
+            3209751608, 3213220797, 3444035873, 3743886725, 1783837251, 610968664, 580745246, \
+            4041979504, 201684874, 2673219253, 1377283008, 3497299167, 2344209394, 2304982920, \
+            3081403782, 2599256854, 3184475235, 3373055826, 695186388, 2423332338, 222864327, \
+            1258227992, 3627871647, 3487724980, 4027953808, 3053320360, 533627073, 3026232514, \
+            2340271949, 867277230, 868513116, 2158535651, 2487822909, 3428235761, 3067196046, \
+            3435119657, 1908441839, 788668797, 3367703138, 3317763187, 908264443, 2252100381, \
+            764223334, 4127108988, 384641349, 3377374722, 1263833251, 1958694944, 3847832657, \
+            1253909612, 1096494446, 555725445, 2277045895, 3340096504, 1383318686, 4234428127, \
+            1072582179, 94169494, 1064509968, 2681151917, 2681864920, 734708852, 1338914021, \
+            1270409500, 1789469116, 4191988204, 1716329784, 2213764829, 3712538840, 919910444, \
+            1318414447, 3383806712, 3054941722, 3378649942, 1205735655, 1268136494, 2214009444, \
+            2532395133, 3232230447, 230294038, 342599089, 772808141, 4096882234, 3146662953, \
+            2784264306, 1860954704, 2675279609, 2984212876, 2466966981, 2627986059, 2985545332, \
+            2578042598, 1458940786, 2944243755, 3959506256, 1509151382, 325761900, 942251521, \
+            4184289782, 2756231555, 3297811774, 1169708099, 3280524138, 3805245319, 3227360276, \
+            3199632491, 2235795585, 2865407118, 36763651, 2441503575, 3314890374, 1755526087, \
+            17915536, 1196948233, 949343045, 3815841867, 489007833, 2654997597, 2834744136, \
+            417688687, 2843220846, 85621843, 747339336, 2043645709, 3520444394, 1825470818, \
+            647778910, 275904777, 1249389189, 3640887431, 4200779599, 323384601, 3446088641, \
+            4049835786, 1718989062, 3563787136, 44099190, 3281263107, 22910812, 1826109246, \
+            745118154, 3392171319, 1571490704, 354891067, 815955642, 1453450421, 940015623, \
+            796817754, 1260148619, 3898237757, 176670141, 1870249326, 3317738680, 448918002, \
+            4059166594, 2003827551, 987091377, 224855998, 3520570137, 789522610, 2604445123, \
+            454472869, 475688926, 2990723466, 523362238, 3897608102, 806637149, 2642229586, \
+            2928614432, 1564415411, 1691381054, 3816907227, 4082581003, 1895544448, 3728217394, \
+            3214813157, 4054301607, 1882632454, 2873728645, 3694943071, 1297991732, 2101682438, \
+            3952579552, 678650400, 1391722293, 478833748, 2976468591, 158586606, 2576499787, \
+            662690848, 3799889765, 3328894692, 2474578497, 2383901391, 1718193504, 3003184595, \
+            3630561213, 1929441113, 3848238627, 1594310094, 3040359840, 3051803867, 2462788790, \
+            954409915, 802581771, 681703307, 545982392, 2738993819, 8025358, 2827719383, \
+            770471093, 3484895980, 3111306320, 3900000891, 2116916652, 397746721, 2087689510, \
+            721433935, 1396088885, 2751612384, 1998988613, 2135074843, 2521131298, 707009172, \
+            2398321482, 688041159, 2264560137, 482388305, 207864885, 3735036991, 3490348331, \
+            1963642811, 3260224305, 3493564223, 1939428454, 1128799656, 1366012432, 2858822447, \
+            1428147157, 2261125391, 1611208390, 1134826333, 2374102525, 3833625209, 2266397263, \
+            3189115077, 770080230, 2674657172, 4280146640, 3604531615, 4235071805, 3436987249, \
+            509704467, 2582695198, 4256268040, 3391197562, 1460642842, 1617931012, 457825497, \
+            1031452907, 1330422862, 4125947620, 2280712485, 431892090, 2387410588, 2061126784, \
+            896457479, 3480499461, 2488196663, 4021103792, 1877063114, 2744470201, 1046140599, \
+            2129952955, 3583049218, 4217723693, 2720341743, 820661843, 1079873609, 3360954200, \
+            3652304997, 3335838575, 2178810636, 1908053374, 4026721976, 1793145418, 476541615, \
+            973420250, 515553040, 919292001, 2601786155, 1685119450, 3030170809, 1590676150, \
+            1665099167, 651151584, 2077190587, 957892642, 646336572, 2743719258, 866169074, \
+            851118829, 4225766285, 963748226, 799549420, 1955032629, 799460000, 2425744063, \
+            2441291571, 1928963772, 528930629, 2591962884, 3495142819, 1896021824, 901320159, \
+            3181820243, 843061941, 3338628510, 3782438992, 9515330, 1705797226, 953535929, \
+            764833876, 3202464965, 2970244591, 519154982, 3390617541, 566616744, 3438031503, \
+            1853838297, 170608755, 1393728434, 676900116, 3184965776, 1843100290, 78995357, \
+            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 = 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 signal, 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
+