data:image/png;base64,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

110i

121

playingfalseplayingfalseX's turn?available squaresavailable squaresnumberrandom #randomlength1

X

5.6.3.5

helper for 5.6.3.7

data:image/png;base64,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true1,2,3,4,5,6,7,8,9true-100,50100,50-100,0100,0-100,-50100,-50-50,100-50,-1000,1000,-10050,10050,-100-100,100100,-100-100,-100100,100