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pentago.py
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import copy
import time
import itertools
import cProfile
import random
random.seed(0)
class Node():
def __init__(self, board, player, parent, action, depth):
self.board = board
self.player = player
self.parent = parent
self.action = action
self.depth = depth
self.max_value = 1
self.min_value = 0
self.value = None
self.best_move = None
if depth == 0:
self.all_boards = {}
else:
self.all_boards = parent.all_boards
def find_move(node, max_depth):
board = node.board
board_tuple = tuple(board)
if board_tuple in node.all_boards:
node.value = node.all_boards[board_tuple]
update_parents(node)
return None
go = game_over(board, lines)
if go is not None:
node.value = go
node.all_boards[board_tuple] = node.value
update_parents(node)
return None
if node.depth == max_depth:
node.value = 0.5 + random.random()*0.1
node.all_boards[board_tuple] = node.value
update_parents(node)
return None
# moves_left = len(moves(board))
for move in moves(board):
# if node.depth == 0:
# moves_left -= 1
# print(moves_left)
if prune(node):
return None
if node.min_value == node.max_value:
break
new_board_ = new_board(board, node.player, move)
new_node = Node(new_board_,
1-node.player,
node,
move,
node.depth + 1)
find_move(new_node, max_depth)
if node.player == 1:
node.value = node.min_value
elif node.player == 0:
node.value = node.max_value
if node.depth > 0:
update_parents(node)
node.all_boards[board_tuple] = node.value
return node.best_move
def update_parents(node):
parent = node.parent
if parent.player == 1 and node.value > parent.min_value:
parent.min_value = node.value
parent.best_move = node.action
parent.best_child = node
elif parent.player == 0 and node.value < parent.max_value:
parent.max_value = node.value
parent.best_move = node.action
parent.best_child = node
def moves(board):
moves = [(i,j,quadrant, direction)
for i in range(6)
for j in range(6)
if board[6*i+j] == ' '
for quadrant in range(4)
for direction in ['c', 'ac']]
return moves
def new_board(board, player, move):
i,j, quadrant, direction = move
new_board = board.copy()
new_board[6*i+j] = player
# create quadrant to be rotated
q = [[0,0], [0,1], [1,0], [1,1]][quadrant]
temp = new_board.copy()
sub_board = [ temp[6*(3*q[0]+(ij//3))+(3*q[1]+(ij%3))]
for ij in range(9)]
# rotate quadrant and update new board
if direction == 'c':
for i in range(3):
for j in range(3):
new_board[6*(3*q[0]+i)+(3*q[1]+j)] = sub_board[3*(2-j)+i]
if direction == 'ac':
for i in range(3):
for j in range(3):
new_board[6*(3*q[0]+i)+(3*q[1]+j)] = sub_board[3*j+(2-i)]
return new_board
def print_board(board):
for i in range(11):
for j in range(11):
if i % 2 == 1:
print('-', end = '')
elif j % 2 == 1:
print('|', end = '')
else:
print(board[int(i/2)*6 + int(j/2)], end = '')
print('')
print('\n')
def create_lines1():
lines_h = [[6*i+(j+k) for k in range(5)]
for i in range(6) for j in range(2)]
lines_v = [[6*(i+k)+j for k in range(5)]
for i in range(2) for j in range(6)]
lines_d1 = [[6*(i+k)+j+k for k in range(5)]
for i in range(2) for j in range(2)]
lines_d2 = [[6*(i+k)+j-k for k in range(5)]
for i in range(2) for j in range(4,6)]
return lines_h+lines_v+lines_d1+lines_d2
def create_lines2():
old_lines = create_lines3()
line_dict = {}
while len(old_lines)>0:
coordinates = [line[i] for line in old_lines for i in range(5)]
freq = {}
for c in coordinates:
if c not in freq:
freq[c] = 0
freq[c] += 1
c,f = max(freq.items(), key=lambda item: item[1])
new_lines = []
for line in old_lines:
if c in line:
new_lines.append(line)
for line in new_lines:
old_lines.remove(line)
line_dict[c] = new_lines
return line_dict
def create_lines3():
lines_h = [[6*i+(1+k) for k in range(4)]
for i in range(6)]
h_extra = [[6*i+0, 6*i+5] for i in range(6)]
lines_v = [[6*(1+k)+j for k in range(4)]
for j in range(6)]
v_extra = [[6*0+j, 6*5+j] for j in range(6)]
lines_d1 = [[6*(i+k)+j+k for k in range(5)]
for i in range(2) for j in range(2)]
lines_d2 = [[6*(i+k)+j-k for k in range(5)]
for i in range(2) for j in range(4,6)]
lines_d = lines_d1+lines_d2
return [lines_h, h_extra, lines_v, v_extra, lines_d]
lines = create_lines1()
def game_over1(board, lines):
# lines1 + change in algorithm
for line in lines:
temp = board[line[0]]
if temp == ' ':
continue
if all([board[line[i]] == temp for i in [1,2,3,4]]):
return board[line[0]]
if len(moves(board)) == 0:
return 0.5
return None
def game_over2(board, lines_dict):
# combines with lines4
for c, lines in lines_dict.items():
temp = board[c]
if temp == ' ':
continue
for line in lines:
if all([board[line[i]] == temp for i in [0,1,2,3,4]]):
return temp
if len(moves(board)) == 0:
return 0.5
return None
def game_over3(board, lines_info):
# combines with lines3
lines_h, h_extra, lines_v, v_extra, lines_d = lines_info
for i in range(6):
line = lines_h[i]
c0, c5 = h_extra[i]
temp = board[line[0]]
if temp == ' ':
continue
if all([board[line[i]] == temp for i in [1,2,3]]):
if board[c0] == temp or board[c5] == temp:
return temp
for i in range(6):
line = lines_v[i]
c0, c5 = v_extra[i]
temp = board[line[0]]
if temp == ' ':
continue
if all([board[line[i]] == temp for i in [1,2,3]]):
if board[c0] == temp or board[c5] == temp:
return temp
for line in lines_d:
temp = board[line[0]]
if temp == ' ':
continue
if all([board[line[i]] == temp for i in [1,2,3,4]]):
return board[line[0]]
if len(moves(board)) == 0:
return 0.5
return None
game_over = game_over1
def ask_for_move():
move = input('Please enter your move: ')
i,j,q,d = move.split(',')
i,j,q = int(i), int(j), int(q)
return (i,j,q,d)
def prune(node):
if node.depth == 0:
return False
parent = node.parent
if node.player == 0 and node.max_value < parent.min_value:
return True
elif node.player == 1 and node.min_value > parent.max_value:
return True
else:
return False
def play():
board = [' ' for _ in range(36)]
ai = False
player = 1
while game_over(board, lines) is None:
print('')
print_board(board)
print(f'Current player is: {player} \n')
if ai == False:
move = ask_for_move()
ai = True
else:
print('ai is thinking...')
node = Node(board, player, None, None, 0)
move = find_move(node, 2)
if move is None:
move = moves(board)[0]
ai = False
board = new_board(board, player, move)
player = 1 - player
print('The game has ended')
print_board(board)
print(f'the final score is {game_over(board, lines)}')
def test():
# empty board
board0 = [' ' for _ in range(36)]
# one move left, game to end in a tie
board1 = [1,1,1,0,0,0,
0,0,0,1,1,1,
1,1,1,0,0,0,
0,0,0,1,1,1,
1,1,1,0,0,0,
' ',0,0,1,1,1]
# 1 to win , and 0 cannot block
board2 = [1 ,0 ,0 ,1 ,0 ,1 ,
1 ,' ',' ',' ',' ',' ',
1 ,1 ,1 ,1 ,0 ,0 ,
' ',' ',' ',' ',' ',' ',
0, 0, 0, 1, 1, 1 ,
' ',1 ,' ',' ',0 ,' ']
# 0 to win immediately
board3 = [0,' ',' ',' ', ' ', ' ',
0, ' ', ' ', ' ', ' ', ' ',
0, ' ', ' ', ' ', ' ', ' ',
0, ' ', ' ', ' ', ' ', ' ',
' ', ' ', ' ', ' ', ' ', ' ',
' ', ' ', ' ', ' ', ' ', ' ']
# 1 to find winning move
board4 = [' ', ' ', ' ', ' ', ' ', ' ',
' ',1,1, ' ',1, ' ',
' ', ' ', ' ', ' ', ' ', ' ',
' ', ' ', ' ', ' ', ' ', ' ',
' ', ' ', ' ', ' ', ' ', ' ',
' ', ' ', ' ', ' ', ' ', ' ']
boards = [board0, board1, board2, board3, board4]
# -------loop through boards
# for board, player in itertools.product(range(5),range(2)):
# root_node = Node(boards[board], player, None, None, depth=0)
# output, time = timer(find_move, root_node, 2)
# print(f"Board: {board}, Player: {player}, Time taken: {time}")
# print(f"Board: {board}, Player: {player}, Output: {output}, Time taken: {time}")
# ------test finding optimal move for depth 3
# node4 = Node(boards[4], 1, None, None, 0)
# print(timer(find_move, node4,3))
# ------test finding optimal move for depth 4
# node4 = Node(boards[4], 0, None, None, 0)
# print(timer(find_move, node4,4))
# -------test game over
# print(game_over3(boards[3],lines3))
# new_boards[3][4] = 0
# print(game_over3(boards[3],lines3))
# print(game_over3(boards[4], lines3))
# new_boards[4][6] = 1
# new_boards[4][9] = 1
# print(game_over3(boards[4], lines3))
# --------- lines is correc
# for lines in lines4.values():
# for line in lines:
# test = new_boards[0].copy()
# for l in line:
# test[l] = 1
# print_board3(test)
return None
def timer(fn, *args):
t0 = time.time()
output = fn(*args)
t1 = time.time()
return output, t1 - t0
# cProfile.run('test()')
test()
# play()
# --------------No optimisations----------------
# Board: 0, Player: 0, Time taken: 1.5973551273345947
# Board: 0, Player: 1, Time taken: 1.5876989364624023
# Board: 1, Player: 0, Time taken: 0.0011789798736572266
# Board: 1, Player: 1, Time taken: 0.0010318756103515625
# Board: 2, Player: 0, Time taken: 5.049747943878174
# Board: 2, Player: 1, Time taken: 4.941879034042358
# Board: 3, Player: 0, Time taken: 29.29101586341858
# Board: 3, Player: 1, Time taken: 32.09774899482727
# Board: 4, Player: 0, Time taken: 9.555429935455322
# Board: 4, Player: 1, Time taken: 9.259257078170776
# --------------pruning------------------------
# Board: 0, Player: 0, Time taken: 1.345466136932373
# Board: 0, Player: 1, Time taken: 1.3997290134429932
# Board: 1, Player: 0, Time taken: 0.0012030601501464844
# Board: 1, Player: 1, Time taken: 0.0010488033294677734
# Board: 2, Player: 0, Time taken: 5.284406900405884
# Board: 2, Player: 1, Time taken: 4.617739915847778
# Board: 3, Player: 0, Time taken: 26.17604088783264
# Board: 3, Player: 1, Time taken: 29.470968008041382
# Board: 4, Player: 0, Time taken: 8.629671812057495
# Board: 4, Player: 1, Time taken: 8.283491134643555
# ---------------version 2/no frontiers/prune before creating boards
# Board: 0, Player: 0, Time taken: 12.889657735824585
# Board: 0, Player: 1, Time taken: 12.759357213973999
# Board: 1, Player: 0, Time taken: 0.0018579959869384766
# Board: 1, Player: 1, Time taken: 0.001600027084350586
# Board: 2, Player: 0, Time taken: 1.8888230323791504
# Board: 2, Player: 1, Time taken: 1.9842233657836914
# Board: 3, Player: 0, Time taken: 9.999610185623169
# Board: 3, Player: 1, Time taken: 9.902679204940796
# Board: 4, Player: 0, Time taken: 10.221951961517334
# Board: 4, Player: 1, Time taken: 10.249742031097412
# ---------------version 2 + check repeat boards--
# Board: 0, Player: 0, Time taken: 1.0767178535461426
# Board: 0, Player: 1, Time taken: 1.0690727233886719
# Board: 1, Player: 0, Time taken: 0.0011839866638183594
# Board: 1, Player: 1, Time taken: 0.00102996826171875
# Board: 2, Player: 0, Time taken: 1.9064719676971436
# Board: 2, Player: 1, Time taken: 1.861788034439087
# Board: 3, Player: 0, Time taken: 5.333322048187256
# Board: 3, Player: 1, Time taken: 5.413770914077759
# Board: 4, Player: 0, Time taken: 2.98577880859375
# Board: 4, Player: 1, Time taken: 2.9099860191345215
# -------------- above + break if min = max
# Board: 0, Player: 0, Time taken: 1.098992109298706
# Board: 0, Player: 1, Time taken: 1.1168200969696045
# Board: 1, Player: 0, Time taken: 0.0010449886322021484
# Board: 1, Player: 1, Time taken: 0.0011928081512451172
# Board: 2, Player: 0, Time taken: 0.32472896575927734
# Board: 2, Player: 1, Time taken: 0.34493279457092285
# Board: 3, Player: 0, Time taken: 0.141754150390625
# Board: 3, Player: 1, Time taken: 0.897752046585083
# Board: 4, Player: 0, Time taken: 3.121652126312256
# Board: 4, Player: 1, Time taken: 2.9370980262756348
# depth 3 solution. ((0, 4, 1, 'ac'), 59.11349701881409) ~7mins total
# -------------- version3. rank1 list instead of rank2 list
# Board: 0, Player: 0, Time taken: 0.40738892555236816
# Board: 0, Player: 1, Time taken: 0.41133594512939453
# Board: 1, Player: 0, Time taken: 0.0005202293395996094
# Board: 1, Player: 1, Time taken: 0.0004508495330810547
# Board: 2, Player: 0, Time taken: 0.17560601234436035
# Board: 2, Player: 1, Time taken: 0.16147398948669434
# Board: 3, Player: 0, Time taken: 0.06450676918029785
# Board: 3, Player: 1, Time taken: 0.42441606521606445
# Board: 4, Player: 0, Time taken: 1.4196019172668457
# Board: 4, Player: 1, Time taken: 1.418367862701416
# depth 3 solution. ((0, 4, 1, 'ac'), 30.73452377319336) ~3.5 mins total
# ncalls tottime percall cumtime percall filename:lineno(function)
# 1 0.000 0.000 38.751 38.751 <string>:1(<module>)
# 3 0.000 0.000 0.000 0.000 iostream.py:197(schedule)
# 2 0.000 0.000 0.000 0.000 iostream.py:309(_is_master_process)
# 2 0.000 0.000 0.000 0.000 iostream.py:322(_schedule_flush)
# 2 0.000 0.000 0.000 0.000 iostream.py:384(write)
# 3 0.000 0.000 0.000 0.000 iostream.py:93(_event_pipe)
# 299209 0.220 0.000 0.220 0.000 pentago.py:122(__init__)
# 299209/1 2.726 0.000 38.751 38.751 pentago.py:151(find_move3)
# 299208 0.142 0.000 0.142 0.000 pentago.py:250(update_parents2)
# 300963 0.229 0.000 9.265 0.000 pentago.py:346(moves3)
# 300963 9.036 0.000 9.036 0.000 pentago.py:347(<listcomp>) LIST OF MOVES
# 460503 2.395 0.000 4.527 0.000 pentago.py:381(new_board3)
# 460503 0.814 0.000 1.987 0.000 pentago.py:389(<listcomp>) SUB_BOARD AS RANK2 LIST
# 299778 1.469 0.000 30.783 0.000 pentago.py:480(game_over3) DETERMINING GAME OVER
# 299778 4.163 0.000 10.119 0.000 pentago.py:481(<listcomp>)
# 9592896 4.852 0.000 4.852 0.000 pentago.py:482(<listcomp>)
# 298640 4.071 0.000 9.808 0.000 pentago.py:488(<listcomp>)
# 9556480 4.724 0.000 4.724 0.000 pentago.py:489(<listcomp>)
# 461073 0.200 0.000 0.200 0.000 pentago.py:523(prune2)
# 1 0.000 0.000 38.751 38.751 pentago.py:566(test)
# 1 0.000 0.000 0.000 0.000 pentago.py:568(<listcomp>)
# 1 0.000 0.000 0.000 0.000 pentago.py:606(<listcomp>)
# 1 0.000 0.000 38.751 38.751 pentago.py:708(timer)
# 3 0.000 0.000 0.000 0.000 socket.py:342(send)
# 3 0.000 0.000 0.000 0.000 threading.py:1017(_wait_for_tstate_lock)
# 3 0.000 0.000 0.000 0.000 threading.py:1071(is_alive)
# 3 0.000 0.000 0.000 0.000 threading.py:513(is_set)
# 19149376 2.118 0.000 2.118 0.000 {built-in method builtins.all}
# 598418 0.157 0.000 0.157 0.000 {built-in method builtins.any}
# 1 0.000 0.000 38.751 38.751 {built-in method builtins.exec}
# 2 0.000 0.000 0.000 0.000 {built-in method builtins.isinstance}
# 298640 0.037 0.000 0.037 0.000 {built-in method builtins.len}
# 1 0.000 0.000 0.000 0.000 {built-in method builtins.print}
# 2 0.000 0.000 0.000 0.000 {built-in method posix.getpid}
# 2 0.000 0.000 0.000 0.000 {built-in method time.time}
# 3 0.000 0.000 0.000 0.000 {method 'acquire' of '_thread.lock' objects}
# 3 0.000 0.000 0.000 0.000 {method 'append' of 'collections.deque' objects}
# 299208 0.039 0.000 0.039 0.000 {method 'append' of 'list' objects}
# 921006 0.145 0.000 0.145 0.000 {method 'copy' of 'list' objects}
# 1 0.000 0.000 0.000 0.000 {method 'disable' of '_lsprof.Profiler' objects}
# 296317 0.042 0.000 0.042 0.000 {method 'random' of '_random.Random' objects}
# -------------- version3. + game_over3_1
# Board: 0, Player: 0, Time taken: 0.29244232177734375
# Board: 0, Player: 1, Time taken: 0.2838928699493408
# Board: 1, Player: 0, Time taken: 0.0004999637603759766
# Board: 1, Player: 1, Time taken: 0.00033402442932128906
# Board: 2, Player: 0, Time taken: 0.10118913650512695
# Board: 2, Player: 1, Time taken: 0.10771417617797852
# Board: 3, Player: 0, Time taken: 0.03592395782470703
# Board: 3, Player: 1, Time taken: 0.26180291175842285
# Board: 4, Player: 0, Time taken: 0.9436769485473633
# Board: 4, Player: 1, Time taken: 0.9159080982208252
# cProfile for depth 3
# 299778 3.458 0.000 14.519 0.000 pentago.py:500(game_over3)
# -------------- above+call game_over only once per cycle
# 299209 3.335 0.000 14.162 0.000 pentago.py:532(game_over3)
# -------------- version3. + lines4
# Board: 0, Player: 0, Time taken: 0.26334691047668457
# Board: 0, Player: 1, Time taken: 0.2673959732055664
# Board: 1, Player: 0, Time taken: 0.0003211498260498047
# Board: 1, Player: 1, Time taken: 0.0003368854522705078
# Board: 2, Player: 0, Time taken: 0.10031986236572266
# Board: 2, Player: 1, Time taken: 0.10820603370666504
# Board: 3, Player: 0, Time taken: 0.03513503074645996
# Board: 3, Player: 1, Time taken: 0.24969196319580078
# Board: 4, Player: 0, Time taken: 0.9256749153137207
# Board: 4, Player: 1, Time taken: 0.9308981895446777
# cProfile for depth 3, was similar to above. 14 seconds
# -------------- version3. + lines5
# cProfile for depth 3
# 299209 3.409 0.000 14.048 0.000 pentago.py:582(game_over3)
# -------------- tidied up, and fixed prune
# Board: 0, Player: 0, Time taken: 0.08965802192687988
# Board: 0, Player: 1, Time taken: 0.06820201873779297
# Board: 1, Player: 0, Time taken: 0.0002720355987548828
# Board: 1, Player: 1, Time taken: 0.0002040863037109375
# Board: 2, Player: 0, Time taken: 0.10023093223571777
# Board: 2, Player: 1, Time taken: 0.053900957107543945
# Board: 3, Player: 0, Time taken: 0.3132359981536865
# Board: 3, Player: 1, Time taken: 1.138319730758667
# Board: 4, Player: 0, Time taken: 0.2041919231414795
# Board: 4, Player: 1, Time taken: 0.3106269836425781
# cprofile for depth3. Game_over and moves are big ones.
# ncalls tottime percall cumtime percall filename:lineno(function)
# 1 0.000 0.000 3.189 3.189 <string>:1(<module>)
# 2 0.000 0.000 0.000 0.000 _weakrefset.py:38(_remove)
# 3 0.000 0.000 0.000 0.000 iostream.py:197(schedule)
# 2 0.000 0.000 0.000 0.000 iostream.py:309(_is_master_process)
# 2 0.000 0.000 0.000 0.000 iostream.py:322(_schedule_flush)
# 2 0.000 0.000 0.000 0.000 iostream.py:384(write)
# 3 0.000 0.000 0.000 0.000 iostream.py:93(_event_pipe)
# 63374 0.358 0.000 0.673 0.000 pentago.py:107(new_board)
# 190122 0.171 0.000 0.171 0.000 pentago.py:115(<listcomp>)
# 39342 0.497 0.000 2.078 0.000 pentago.py:203(game_over1)
# 411457 0.224 0.000 0.224 0.000 pentago.py:209(<listcomp>)
# 39342/1 0.301 0.000 3.189 3.189 pentago.py:22(find_move)
# 64334 0.031 0.000 0.031 0.000 pentago.py:278(prune)
# 1 0.000 0.000 3.189 3.189 pentago.py:318(test)
# 1 0.000 0.000 0.000 0.000 pentago.py:320(<listcomp>)
# 1 0.000 0.000 0.000 0.000 pentago.py:356(<listcomp>)
# 1 0.000 0.000 3.189 3.189 pentago.py:391(timer)
# 39341 0.029 0.000 0.029 0.000 pentago.py:71(update_parents)
# 39342 0.030 0.000 0.030 0.000 pentago.py:9(__init__)
# 40003 0.032 0.000 1.332 0.000 pentago.py:97(moves)
# 40003 1.300 0.000 1.300 0.000 pentago.py:98(<listcomp>)
# 3 0.000 0.000 0.000 0.000 socket.py:342(send)
# 3 0.000 0.000 0.000 0.000 threading.py:1017(_wait_for_tstate_lock)
# 3 0.000 0.000 0.000 0.000 threading.py:1071(is_alive)
# 3 0.000 0.000 0.000 0.000 threading.py:513(is_set)
# 411457 0.054 0.000 0.054 0.000 {built-in method builtins.all}
# 1 0.000 0.000 3.189 3.189 {built-in method builtins.exec}
# 2 0.000 0.000 0.000 0.000 {built-in method builtins.isinstance}
# 38968 0.005 0.000 0.005 0.000 {built-in method builtins.len}
# 1 0.000 0.000 0.000 0.000 {built-in method builtins.print}
# 2 0.000 0.000 0.000 0.000 {built-in method posix.getpid}
# 2 0.000 0.000 0.000 0.000 {built-in method time.time}
# 3 0.000 0.000 0.000 0.000 {method 'acquire' of '_thread.lock' objects}
# 3 0.000 0.000 0.000 0.000 {method 'append' of 'collections.deque' objects}
# 39341 0.006 0.000 0.006 0.000 {method 'append' of 'list' objects}
# 126748 0.022 0.000 0.022 0.000 {method 'copy' of 'list' objects}
# 1 0.000 0.000 0.000 0.000 {method 'disable' of '_lsprof.Profiler' objects}
# 2 0.000 0.000 0.000 0.000 {method 'discard' of 'set' objects}
# 37933 0.006 0.000 0.006 0.000 {method 'random' of '_random.Random' objects}
# heuristic = 0.5 always, without all_boards, with boards seen
# 299209 3.491 0.000 14.883 0.000 pentago.py:215(game_over1)
# heuristic = 0.5 always, with all boards, without boards seen
# 30815 0.373 0.000 1.559 0.000 pentago.py:215(game_over1)
# with both
# -------------- with all_boards
# Board: 0, Player: 0, Time taken: 0.08091402053833008
# Board: 0, Player: 1, Time taken: 0.08608317375183105
# Board: 1, Player: 0, Time taken: 0.0002551078796386719
# Board: 1, Player: 1, Time taken: 0.0002338886260986328
# Board: 2, Player: 0, Time taken: 0.08531403541564941
# Board: 2, Player: 1, Time taken: 0.03759002685546875
# Board: 3, Player: 0, Time taken: 0.29084110260009766
# Board: 3, Player: 1, Time taken: 0.6572558879852295
# Board: 4, Player: 0, Time taken: 0.16455411911010742
# Board: 4, Player: 1, Time taken: 0.14598584175109863
# ncalls tottime percall cumtime percall filename:lineno(function)
# 1 0.002 0.002 2.199 2.199 <string>:1(<module>)
# 3 0.000 0.000 0.000 0.000 iostream.py:197(schedule)
# 2 0.000 0.000 0.000 0.000 iostream.py:309(_is_master_process)
# 2 0.000 0.000 0.000 0.000 iostream.py:322(_schedule_flush)
# 2 0.000 0.000 0.000 0.000 iostream.py:384(write)
# 3 0.000 0.000 0.000 0.000 iostream.py:93(_event_pipe)
# 18910 0.015 0.000 0.609 0.000 pentago.py:109(moves)
# 18910 0.595 0.000 0.595 0.000 pentago.py:110(<listcomp>)
# 84640 0.433 0.000 0.813 0.000 pentago.py:119(new_board)
# 84640 0.146 0.000 0.354 0.000 pentago.py:127(<listcomp>)
# 17896 0.218 0.000 0.909 0.000 pentago.py:215(game_over1)
# 176723 0.092 0.000 0.092 0.000 pentago.py:221(<listcomp>)
# 84641/1 0.284 0.000 2.197 2.197 pentago.py:25(find_move)
# 85541 0.037 0.000 0.037 0.000 pentago.py:290(prune)
# 1 0.000 0.000 2.197 2.197 pentago.py:331(test)
# 1 0.000 0.000 0.000 0.000 pentago.py:333(<listcomp>)
# 5 0.000 0.000 0.000 0.000 pentago.py:369(<listcomp>)
# 1 0.000 0.000 2.197 2.197 pentago.py:404(timer)
# 84640 0.049 0.000 0.049 0.000 pentago.py:83(update_parents)
# 84641 0.067 0.000 0.067 0.000 pentago.py:9(__init__)
# 3 0.000 0.000 0.000 0.000 socket.py:342(send)
# 3 0.000 0.000 0.000 0.000 threading.py:1017(_wait_for_tstate_lock)
# 3 0.000 0.000 0.000 0.000 threading.py:1071(is_alive)
# 3 0.000 0.000 0.000 0.000 threading.py:513(is_set)
# 176723 0.022 0.000 0.022 0.000 {built-in method builtins.all}
# 1 0.000 0.000 2.199 2.199 {built-in method builtins.exec}
# 2 0.000 0.000 0.000 0.000 {built-in method builtins.isinstance}
# 17837 0.002 0.000 0.002 0.000 {built-in method builtins.len}
# 1 0.000 0.000 0.000 0.000 {built-in method builtins.print}
# 2 0.000 0.000 0.000 0.000 {built-in method posix.getpid}
# 2 0.000 0.000 0.000 0.000 {built-in method time.time}
# 3 0.000 0.000 0.000 0.000 {method 'acquire' of '_thread.lock' objects}
# 3 0.000 0.000 0.000 0.000 {method 'append' of 'collections.deque' objects}
# 169280 0.026 0.000 0.026 0.000 {method 'copy' of 'list' objects}
# 1 0.000 0.000 0.000 0.000 {method 'disable' of '_lsprof.Profiler' objects}
# 16764 0.003 0.000 0.003 0.000 {method 'random' of '_random.Random' objects}
# ================fixing bug in all_boards interaction with prune
# Board: 0, Player: 0, Time taken: 0.2888009548187256
# Board: 0, Player: 1, Time taken: 0.15045881271362305
# Board: 1, Player: 0, Time taken: 0.00028705596923828125
# Board: 1, Player: 1, Time taken: 0.0002300739288330078
# Board: 2, Player: 0, Time taken: 0.0822603702545166
# Board: 2, Player: 1, Time taken: 0.03888416290283203
# Board: 3, Player: 0, Time taken: 0.30017614364624023
# Board: 3, Player: 1, Time taken: 0.7593698501586914
# Board: 4, Player: 0, Time taken: 0.3503570556640625
# Board: 4, Player: 1, Time taken: 0.3380570411682129
# ncalls tottime percall cumtime percall filename:lineno(function)
# 1 0.000 0.000 3.193 3.193 <string>:1(<module>)
# 3 0.000 0.000 0.000 0.000 iostream.py:197(schedule)
# 2 0.000 0.000 0.000 0.000 iostream.py:309(_is_master_process)
# 2 0.000 0.000 0.000 0.000 iostream.py:322(_schedule_flush)
# 2 0.000 0.000 0.000 0.000 iostream.py:384(write)
# 3 0.000 0.000 0.000 0.000 iostream.py:93(_event_pipe)
# 150662 0.125 0.000 0.125 0.000 pentago.py:10(__init__)
# 150661 0.806 0.000 1.515 0.000 pentago.py:102(new_board)
# 150661 0.277 0.000 0.661 0.000 pentago.py:110(<listcomp>)
# 14905 0.201 0.000 0.816 0.000 pentago.py:198(game_over1)
# 148402 0.083 0.000 0.083 0.000 pentago.py:204(<listcomp>)
# 150662/1 0.507 0.000 3.193 3.193 pentago.py:25(find_move)
# 153546 0.067 0.000 0.067 0.000 pentago.py:273(prune)
# 1 0.000 0.000 3.193 3.193 pentago.py:314(test)
# 1 0.000 0.000 0.000 0.000 pentago.py:316(<listcomp>)
# 5 0.000 0.000 0.000 0.000 pentago.py:352(<listcomp>)
# 1 0.000 0.000 3.193 3.193 pentago.py:392(timer)
# 147961 0.061 0.000 0.061 0.000 pentago.py:79(update_parents)
# 17798 0.015 0.000 0.609 0.000 pentago.py:92(moves)
# 17798 0.594 0.000 0.594 0.000 pentago.py:93(<listcomp>)
# 3 0.000 0.000 0.000 0.000 socket.py:342(send)
# 3 0.000 0.000 0.000 0.000 threading.py:1017(_wait_for_tstate_lock)
# 3 0.000 0.000 0.000 0.000 threading.py:1071(is_alive)
# 3 0.000 0.000 0.000 0.000 threading.py:513(is_set)
# 148402 0.020 0.000 0.020 0.000 {built-in method builtins.all}
# 1 0.000 0.000 3.193 3.193 {built-in method builtins.exec}
# 2 0.000 0.000 0.000 0.000 {built-in method builtins.isinstance}
# 14843 0.002 0.000 0.002 0.000 {built-in method builtins.len}
# 1 0.000 0.000 0.000 0.000 {built-in method builtins.print}
# 2 0.000 0.000 0.000 0.000 {built-in method posix.getpid}
# 2 0.000 0.000 0.000 0.000 {built-in method time.time}
# 3 0.000 0.000 0.000 0.000 {method 'acquire' of '_thread.lock' objects}
# 3 0.000 0.000 0.000 0.000 {method 'append' of 'collections.deque' objects}
# 301322 0.048 0.000 0.048 0.000 {method 'copy' of 'list' objects}
# 1 0.000 0.000 0.000 0.000 {method 'disable' of '_lsprof.Profiler' objects}
# 11888 0.002 0.000 0.002 0.000 {method 'random' of '_random.Random' objects}
# new board updated to only have rank1 arrays
# ncalls tottime percall cumtime percall filename:lineno(function)
# 1 0.000 0.000 2.831 2.831 <string>:1(<module>)
# 3 0.000 0.000 0.000 0.000 iostream.py:197(schedule)
# 2 0.000 0.000 0.000 0.000 iostream.py:309(_is_master_process)
# 2 0.000 0.000 0.000 0.000 iostream.py:322(_schedule_flush)
# 2 0.000 0.000 0.000 0.000 iostream.py:384(write)
# 3 0.000 0.000 0.000 0.000 iostream.py:93(_event_pipe)
# 157217 0.122 0.000 0.122 0.000 pentago.py:10(__init__)
# 157216 0.810 0.000 1.269 0.000 pentago.py:102(new_board)
# 157216 0.410 0.000 0.410 0.000 pentago.py:110(<listcomp>)
# 14925 0.186 0.000 0.763 0.000 pentago.py:198(game_over1)
# 148890 0.078 0.000 0.078 0.000 pentago.py:204(<listcomp>)
# 157217/1 0.474 0.000 2.831 2.831 pentago.py:25(find_move)
# 159519 0.065 0.000 0.065 0.000 pentago.py:273(prune)
# 1 0.000 0.000 2.831 2.831 pentago.py:314(test)
# 1 0.000 0.000 0.000 0.000 pentago.py:316(<listcomp>)
# 5 0.000 0.000 0.000 0.000 pentago.py:352(<listcomp>)
# 1 0.000 0.000 2.831 2.831 pentago.py:392(timer)
# 155098 0.061 0.000 0.061 0.000 pentago.py:79(update_parents)
# 17240 0.013 0.000 0.554 0.000 pentago.py:92(moves)
# 17240 0.540 0.000 0.540 0.000 pentago.py:93(<listcomp>)
# 3 0.000 0.000 0.000 0.000 socket.py:342(send)
# 3 0.000 0.000 0.000 0.000 threading.py:1017(_wait_for_tstate_lock)
# 3 0.000 0.000 0.000 0.000 threading.py:1071(is_alive)
# 3 0.000 0.000 0.000 0.000 threading.py:513(is_set)
# 148890 0.019 0.000 0.019 0.000 {built-in method builtins.all}
# 1 0.000 0.000 2.831 2.831 {built-in method builtins.exec}
# 2 0.000 0.000 0.000 0.000 {built-in method builtins.isinstance}
# 14863 0.002 0.000 0.002 0.000 {built-in method builtins.len}
# 1 0.000 0.000 0.000 0.000 {built-in method builtins.print}
# 2 0.000 0.000 0.000 0.000 {built-in method posix.getpid}
# 2 0.000 0.000 0.000 0.000 {built-in method time.time}
# 3 0.000 0.000 0.000 0.000 {method 'acquire' of '_thread.lock' objects}
# 3 0.000 0.000 0.000 0.000 {method 'append' of 'collections.deque' objects}
# 314432 0.048 0.000 0.048 0.000 {method 'copy' of 'list' objects}
# 1 0.000 0.000 0.000 0.000 {method 'disable' of '_lsprof.Profiler' objects}
# 12486 0.002 0.000 0.002 0.000 {method 'random' of '_random.Random' objects}