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from string import join |
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| 24 |
from array import * |
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| 25 |
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| 26 |
class Pattern: |
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| 27 |
""" |
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| 28 |
A pattern on the go board, which is basically a matrix with coefficients in |
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| 29 |
{ 'X', 'O', '.', '*', 'x', 'o' } (black, white, empty, wildcards), plus an 'anchor |
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| 30 |
rectangle', given by the top left and bottom right points. |
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| 31 |
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| 32 |
left, right, top, bottom: "anchor rectangle" |
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| 33 |
sizeX, sizeY: size of pattern |
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| 34 |
initialData: initial position FIXME |
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| 35 |
contList, lenContList: move sequence data in the following format: ...! |
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| 36 |
moveOne: ? |
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| 37 |
""" |
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| 38 |
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| 39 |
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| 40 |
def __cmp__(self, p): |
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| 41 |
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| 42 |
if self.sizeX != p.sizeX or self.sizeY != p.sizeY: return 1 |
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| 43 |
if self.left != p.left or self.right != p.right or self.top != p.top or self.bottom != p.bottom: return 1 |
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| 44 |
if self.moveOne != p.moveOne: return 1 |
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| 45 |
for i in range(self.sizeX*self.sizeY): |
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| 46 |
if self.initialPos[i] != p.initialPos[i]: return 1 |
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| 47 |
if self.contList != p.contList: return 1 |
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| 48 |
return 0 |
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| 49 |
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| 50 |
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| 51 |
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| 52 |
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| 53 |
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| 55 |
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def BW2XO(self, c): |
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| 57 |
try: |
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| 58 |
return {'B': 'X', 'W': 'O'}[c] |
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| 59 |
except: |
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| 60 |
return c |
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| 61 |
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| 62 |
def getInitial(self, i, j): |
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| 63 |
return self.initialPos[i + self.sizeX * j] |
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| 64 |
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| 65 |
def getFinal(self, i, j): |
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| 66 |
return self.finalPos[i + self.sizeX * j] |
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| 67 |
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| 68 |
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| 69 |
def printPattern(self): |
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| 70 |
d = [] |
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| 71 |
for j in range(self.sizeY): |
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| 72 |
for i in range(self.sizeX): |
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| 73 |
d.append(self.initialPos[i+j*self.sizeX]) |
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| 74 |
d.append('\n') |
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| 75 |
print join(d, '') |
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| 76 |
print |
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| 77 |
if self.contList: |
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| 78 |
d = [] |
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| 79 |
for j in range(self.sizeY): |
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| 80 |
for i in range(self.sizeX): |
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| 81 |
d.append(self.finalPos[i+j*self.sizeX]) |
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| 82 |
d.append('\n') |
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| 83 |
print join(d, '') |
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| 84 |
print self.contList |
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| 85 |
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| 86 |
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| 87 |
def getBits(self, b, i): |
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| 88 |
return self.bits[b][i] |
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| 89 |
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| 90 |
def __init__(self, |
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| 91 |
left, right, top, bottom, sizeX, sizeY, |
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| 92 |
initialPos, contList, lenContList, moveOne): |
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| 93 |
self.flip = 0 |
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| 94 |
self.colorSwitch = 0 |
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| 95 |
if moveOne in ['B', 'X']: self.moveOne = 'X' |
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| 96 |
else: self.moveOne = 'O' |
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| 97 |
if self.moveOne == 'X': self.moveTwo = 'O' |
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| 98 |
else: self.moveTwo = 'X' |
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| 99 |
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self.left = left |
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self.top = top |
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self.right = right |
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self.bottom = bottom |
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self.sizeX = sizeX |
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| 108 |
self.sizeY = sizeY |
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| 109 |
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self.initialPos = initialPos |
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| 111 |
helpFinalPos = list(initialPos) |
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| 112 |
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for t in contList.split('/'): |
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if t and ord(t[0]) < sizeX and ord(t[1]) < sizeY: |
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if t[2] in ['B', 'W']: |
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| 116 |
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helpFinalPos[ord(t[0]) + sizeX*ord(t[1])] = self.BW2XO(t[2]) |
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| 118 |
else: |
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helpFinalPos[ord(t[0]) + sizeX*ord(t[1])] = '.' |
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| 120 |
self.finalPos = join(helpFinalPos, '') |
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| 121 |
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self.contList = contList |
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| 123 |
self.lenContList = lenContList |
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| 124 |
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| 125 |
self.bits = [] |
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| 126 |
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| 127 |
for i in range(2): |
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| 128 |
for j in range(2): |
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| 129 |
xBlocks = (self.sizeY+i+1)/2 |
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| 130 |
yBlocks = (self.sizeX+j+1)/2 |
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| 131 |
nextBlock = array('B', [yBlocks]) |
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| 132 |
for k1 in range(yBlocks): |
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| 133 |
nlist = [] |
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| 134 |
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| 135 |
for k2 in range(xBlocks): |
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| 136 |
n = 0 |
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| 137 |
for x in range(2): |
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| 138 |
for y in range(2): |
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indexX = k1 * 2 + y - j |
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| 140 |
indexY = k2 * 2 + x - i |
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| 141 |
if 0 <= indexX < self.sizeX and \ |
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| 142 |
0 <= indexY < self.sizeY: |
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| 143 |
if self.getFinal(indexX,indexY)=='X': |
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| 144 |
n |= 1 << (2*(2*x+y)) |
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| 145 |
elif self.getFinal(indexX,indexY)=='O': |
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n |= 1 << (2*(2*x+y)+1) |
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| 147 |
nlist.append(n) |
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| 148 |
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start, end = 0, len(nlist) |
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| 150 |
while start < end and not nlist[start]: start += 1 |
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| 151 |
while end > start and not nlist[end-1]: end -= 1 |
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nextBlock.append(start) |
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nextBlock.append(end-start) |
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for current in range(start, end): nextBlock.append(nlist[current]) |
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| 156 |
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| 157 |
self.bits.append(nextBlock) |
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| 158 |
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| 159 |
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| 160 |
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| 161 |
flips = [] |
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flips.append(lambda x,y, XX, YY: (x,y)) |
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| 163 |
flips.append(lambda x,y, XX, YY: (XX-x,y)) |
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| 164 |
flips.append(lambda x,y, XX, YY: (x,YY-y)) |
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| 165 |
flips.append(lambda x,y, XX, YY: (XX-x,YY-y)) |
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| 166 |
flips.append(lambda x,y, XX, YY: (y,x)) |
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| 167 |
flips.append(lambda x,y, XX, YY: (YY-y,x)) |
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| 168 |
flips.append(lambda x,y, XX, YY: (y,XX-x)) |
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| 169 |
flips.append(lambda x,y, XX, YY: (YY-y,XX-x)) |
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| 170 |
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| 171 |
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| 172 |
def PatternInvFlip(i): |
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| 173 |
return [0,1,2,3,4,6,5,7][i] |
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| 174 |
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| 175 |
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| 176 |
class PatternList: |
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| 177 |
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| 178 |
def __init__(self, pattern, fixedColor, nextMove, boardsize): |
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| 179 |
self.pattern = pattern |
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| 180 |
self.fixedColor = fixedColor |
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| 181 |
self.nextMove = nextMove |
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| 182 |
self.boardsize = boardsize |
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| 183 |
self.data = self.patternList() |
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| 184 |
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| 185 |
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| 186 |
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| 187 |
def invertColor(self,co): |
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| 188 |
try: |
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| 189 |
return {'X': 'O', 'x': 'o', 'O': 'X', 'o': 'x', '.': '.', '*': '*', 'B':'W', 'W':'B', '-':'-'}[co] |
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| 190 |
except: |
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| 191 |
print 'oops invertColor', co |
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| 192 |
return co |
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| 193 |
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| 194 |
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| 195 |
def patternList(self): |
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| 196 |
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| 197 |
l = [] |
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| 198 |
lCS = [] |
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| 199 |
symmetries = [] |
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| 200 |
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| 201 |
special = -1 |
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| 202 |
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| 203 |
for ii in range(len(Pattern.flips)): |
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| 204 |
f = Pattern.flips[ii] |
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| 205 |
finv = Pattern.flips[PatternInvFlip(ii)] |
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| 206 |
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| 234 |
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| 237 |
newSizeX = max(f(0,0,self.pattern.sizeX,self.pattern.sizeY)[0], |
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| 238 |
f(self.pattern.sizeX,self.pattern.sizeY,self.pattern.sizeX,self.pattern.sizeY)[0]); |
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| 239 |
newSizeY = max(f(0,0,self.pattern.sizeX,self.pattern.sizeY)[1], |
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| 240 |
f(self.pattern.sizeX,self.pattern.sizeY,self.pattern.sizeX,self.pattern.sizeY)[1]); |
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| 241 |
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| 242 |
newLeft = min(f(self.pattern.left,self.pattern.top,self.boardsize-1,self.boardsize-1)[0], |
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| 243 |
f(self.pattern.right+self.pattern.sizeX-1,self.pattern.bottom+self.pattern.sizeY-1, |
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| 244 |
self.boardsize-1,self.boardsize-1)[0]) |
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| 245 |
newRight = max(f(self.pattern.left,self.pattern.top,self.boardsize-1,self.boardsize-1)[0], |
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| 246 |
f(self.pattern.right+self.pattern.sizeX-1,self.pattern.bottom+self.pattern.sizeY-1, |
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| 247 |
self.boardsize-1,self.boardsize-1)[0]) - (newSizeX-1) |
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| 248 |
newTop = min(f(self.pattern.left,self.pattern.top,self.boardsize-1,self.boardsize-1)[1], |
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| 249 |
f(self.pattern.right+self.pattern.sizeX-1,self.pattern.bottom+self.pattern.sizeY-1, |
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| 250 |
self.boardsize-1,self.boardsize-1)[1]) |
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| 251 |
newBottom = max(f(self.pattern.left,self.pattern.top,self.boardsize-1,self.boardsize-1)[1], |
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| 252 |
f(self.pattern.right+self.pattern.sizeX-1,self.pattern.bottom+self.pattern.sizeY-1, |
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| 253 |
self.boardsize-1,self.boardsize-1)[1]) - (newSizeY - 1) |
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| 254 |
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| 255 |
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| 256 |
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| 257 |
newPd = {} |
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| 258 |
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| 259 |
for i in range(self.pattern.sizeX): |
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| 260 |
for j in range(self.pattern.sizeY): |
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| 261 |
newPd[f(i,j, self.pattern.sizeX-1, self.pattern.sizeY-1)] = self.pattern.getInitial(i, j) |
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| 262 |
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| 263 |
cl = self.pattern.contList.split('/') |
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| 264 |
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| 265 |
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| 266 |
ncl =[chr(f(ord(t[0]),ord(t[1]),self.pattern.sizeX-1,self.pattern.sizeY-1)[0]) +\ |
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| 267 |
chr(f(ord(t[0]),ord(t[1]),self.pattern.sizeX-1,self.pattern.sizeY-1)[1]) + t[2] + '/'\ |
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| 268 |
for t in cl if t] |
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| 269 |
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| 270 |
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| 271 |
newContList = join(ncl, '') |
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| 272 |
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| 273 |
npdl = [] |
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| 274 |
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| 275 |
for j in range(newSizeY): |
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| 276 |
for i in range(newSizeX): |
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| 277 |
npdl.append(newPd[(i,j)]) |
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| 278 |
newPdString = join(npdl, '') |
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| 279 |
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| 280 |
pNew = Pattern(newLeft, newRight, newTop, newBottom, |
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| 281 |
newSizeX, newSizeY, |
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| 282 |
newPdString, newContList, self.pattern.lenContList, self.pattern.moveOne) |
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| 283 |
pNew.flip = ii |
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| 284 |
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| 285 |
if not pNew in l: |
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| 286 |
l.append(pNew) |
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| 287 |
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| 288 |
if pNew == self.pattern: symmetries.append((ii,0)) |
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| 289 |
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| 290 |
if self.nextMove or not self.fixedColor: |
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| 291 |
newPd1 = {} |
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| 292 |
for i in range(self.pattern.sizeX): |
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| 293 |
for j in range(self.pattern.sizeY): |
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| 294 |
newPd1[f(i,j, self.pattern.sizeX-1, self.pattern.sizeY-1)] \ |
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| 295 |
= self.invertColor(self.pattern.getInitial(i, j)) |
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| 296 |
npdl = [] |
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| 297 |
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| 298 |
for j in range(newSizeY): |
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| 299 |
for i in range(newSizeX): |
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| 300 |
npdl.append(newPd1[(i,j)]) |
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| 301 |
newPd1String = join(npdl, '') |
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| 302 |
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| 303 |
newContList1 = join([t[0]+t[1]+self.invertColor(t[2])+'/' for t in ncl], '') |
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| 304 |
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| 305 |
pNew1 = Pattern(newLeft, newRight, newTop, newBottom, |
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| 306 |
newSizeX, newSizeY, |
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| 307 |
newPd1String, newContList1, self.pattern.lenContList, self.pattern.moveTwo) |
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| 308 |
pNew1.flip = ii |
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| 309 |
pNew1.colorSwitch = 1 |
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| 310 |
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| 311 |
if not self.fixedColor and not pNew1 in lCS: |
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| 312 |
lCS.append(pNew1) |
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| 313 |
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| 314 |
if pNew1 == self.pattern: |
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| 315 |
if not self.fixedColor: symmetries.append((ii,1)) |
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| 316 |
if self.nextMove: special = ii |
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| 317 |
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| 318 |
for p in lCS: |
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| 319 |
if not p in l: l.append(p) |
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| 320 |
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| 321 |
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| 322 |
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| 323 |
symm = {} |
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| 324 |
for i in range(self.pattern.sizeX): |
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| 325 |
for j in range(self.pattern.sizeY): |
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| 326 |
symm[(i,j)] = ((i,j),0) |
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| 327 |
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| 328 |
for s, c in symmetries: |
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| 329 |
symm1 = {} |
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| 330 |
for i in range(self.pattern.sizeX): |
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| 331 |
for j in range(self.pattern.sizeY): |
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| 332 |
if (i,j) != Pattern.flips[s](i,j,self.pattern.sizeX-1,self.pattern.sizeY-1) \ |
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| 333 |
and not symm1.has_key(Pattern.flips[s](i,j,self.pattern.sizeX-1,self.pattern.sizeY-1)): |
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| 334 |
symm1[(i,j)] = (Pattern.flips[s](i,j,self.pattern.sizeX-1,self.pattern.sizeY-1), c) |
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| 335 |
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| 336 |
for k in symm.keys(): |
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| 337 |
if symm1.has_key(symm[k][0]): |
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| 338 |
if (symm1[symm[k][0]][1] or symm[k][1]) and \ |
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| 339 |
not (symm1[symm[k][0]][1] and symm[k][1]): |
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| 340 |
cs = 1 |
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| 341 |
else: cs = 0 |
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| 342 |
symm[k] = symm1[symm[k][0]][0], cs |
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| 343 |
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| 344 |
if special == -1: |
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| 345 |
symm[-1] = -1 |
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| 346 |
else: |
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| 347 |
symm[-1] = PatternInvFlip(special) |
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| 348 |
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| 349 |
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| 350 |
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| 351 |
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| 352 |
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| 353 |
self.symmetries = symm |
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| 354 |
return l |
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| 355 |
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| 356 |
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| 357 |
def get(self, i): |
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| 358 |
""" return final pattern of move sequence""" |
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| 359 |
return self.data[i] |
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| 360 |
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| 361 |
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| 362 |
def size(self): |
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| 363 |
return len(self.data) |
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| 364 |
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| 365 |
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| 366 |
def updateContinuations(self, index, x, y, co, Xint0, Xint1, Yint0, Yint1, |
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| 367 |
foundWhere, counter, |
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| 368 |
continuations, contLabels, contLabelsIndex, |
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| 369 |
winner): |
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| 370 |
|
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| 371 |
xx, yy = Pattern.flips[PatternInvFlip(self.data[index].flip)](x, y, self.boardsize-1, self.boardsize-1) |
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| 372 |
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| 373 |
XX1, YY1 = Pattern.flips[PatternInvFlip(self.data[index].flip)](Xint0, Yint0, |
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| 374 |
self.boardsize-1, self.boardsize-1) |
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| 375 |
XX2, YY2 = Pattern.flips[PatternInvFlip(self.data[index].flip)](Xint1-1, Yint1-1, |
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| 376 |
self.boardsize-1, self.boardsize-1) |
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| 377 |
XX = min(XX1, XX2) |
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| 378 |
YY = min(YY1, YY2) |
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| 379 |
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| 380 |
xx -= XX |
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| 381 |
yy -= YY |
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| 382 |
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| 383 |
if (self.data[index].colorSwitch and co == 'X') or \ |
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| 384 |
(not self.data[index].colorSwitch and co == 'O'): |
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| 385 |
cc = 'B' |
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| 386 |
else: cc = 'W' |
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| 387 |
|
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| 388 |
(xx, yy), cSymm = self.symmetries[(xx,yy)] |
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| 389 |
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| 390 |
if (cc == 'B' and not cSymm) or (cc=='W' and cSymm): cc = 'B' |
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| 391 |
else: cc = 'W' |
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| 392 |
|
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| 393 |
if self.nextMove: |
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| 394 |
if ((self.nextMove == 2 and cc == 'B') \ |
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| 395 |
or (self.nextMove == 1 and cc == 'W')): |
|---|
| 396 |
if self.symmetries[-1] != -1 and not self.fixedColor: |
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| 397 |
|
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| 398 |
if cc == 'B': cc='W' |
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| 399 |
else: cc = 'B' |
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| 400 |
|
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| 401 |
xx += XX |
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| 402 |
yy += YY |
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| 403 |
|
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| 404 |
xx, yy = Pattern.flips[self.symmetries[-1]](xx, yy, self.boardsize-1, self.boardsize-1) |
|---|
| 405 |
|
|---|
| 406 |
XX1, YY1 = Pattern.flips[self.symmetries[-1]](XX1, YY1,self.boardsize-1, self.boardsize-1) |
|---|
| 407 |
XX2, YY2 = Pattern.flips[self.symmetries[-1]](XX2, YY2,self.boardsize-1, self.boardsize-1) |
|---|
| 408 |
|
|---|
| 409 |
XX = min(XX1, XX2) |
|---|
| 410 |
YY = min(YY1, YY2) |
|---|
| 411 |
|
|---|
| 412 |
xx -= XX |
|---|
| 413 |
yy -= YY |
|---|
| 414 |
|
|---|
| 415 |
(xx1, yy1), cSymm1 = self.symmetries[(xx,yy)] |
|---|
| 416 |
if not cSymm1: |
|---|
| 417 |
xx, yy = xx1, yy1 |
|---|
| 418 |
|
|---|
| 419 |
colorSwitch = 1-cSymm |
|---|
| 420 |
|
|---|
| 421 |
else: |
|---|
| 422 |
return 0,0,0,0 |
|---|
| 423 |
else: |
|---|
| 424 |
colorSwitch = cSymm |
|---|
| 425 |
|
|---|
| 426 |
else: |
|---|
| 427 |
colorSwitch = cSymm |
|---|
| 428 |
|
|---|
| 429 |
if continuations.has_key((xx, yy)): |
|---|
| 430 |
continuations[(xx,yy)][cc] = continuations[(xx,yy)][cc]+1 |
|---|
| 431 |
else: |
|---|
| 432 |
if contLabelsIndex >= len(contLabels): text = '?' |
|---|
| 433 |
else: |
|---|
| 434 |
text = contLabels[contLabelsIndex] |
|---|
| 435 |
contLabelsIndex += 1 |
|---|
| 436 |
if cc == 'B': |
|---|
| 437 |
continuations[(xx,yy)] = {'B':1, 'W':0, |
|---|
| 438 |
'tB':0, 'tW':0, |
|---|
| 439 |
'wB':0,'lB':0,'wW':0,'lW':0, |
|---|
| 440 |
'N': text} |
|---|
| 441 |
else: |
|---|
| 442 |
continuations[(xx,yy)] = {'B':0, 'W':1, 'tB':0, 'tW':0, 'wB':0, 'lB':0, |
|---|
| 443 |
'wW':0, 'lW':0, 'N': text} |
|---|
| 444 |
|
|---|
| 445 |
if not foundWhere in [counter, counter+1]: |
|---|
| 446 |
continuations[(xx,yy)]['t'+cc] += 1 |
|---|
| 447 |
|
|---|
| 448 |
if winner == 'B': |
|---|
| 449 |
if not (self.data[index].colorSwitch or colorSwitch): |
|---|
| 450 |
continuations[(xx,yy)]['w'+cc] += 1 |
|---|
| 451 |
else: |
|---|
| 452 |
continuations[(xx,yy)]['l'+cc] += 1 |
|---|
| 453 |
elif winner == 'W': |
|---|
| 454 |
if not (self.data[index].colorSwitch or colorSwitch): |
|---|
| 455 |
continuations[(xx,yy)]['l'+cc] += 1 |
|---|
| 456 |
else: |
|---|
| 457 |
continuations[(xx,yy)]['w'+cc] += 1 |
|---|
| 458 |
|
|---|
| 459 |
return 1, continuations[(xx,yy)]['N'], contLabelsIndex, (self.data[index].colorSwitch or colorSwitch) |
|---|
| 460 |
|
|---|