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A numerical string 10101 is given at the beginning of the game. A score that is common for both players is 6 (there is no

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A numerical string "10101" is given at the beginning of the game. A score that is common for both players is 6 (there is no separate score for each player). Moves are performed in a sequential manner. During a move, a player examines the numerical string from left to right. The following moves are allowed in the game: a) replacing 11 by 1 (11=1) or 00 by 0 (00-0) and subtracting 1 point from the current score; b) replacing 10 by 1 (10-1) or 01 by 0 (01=0) and subtracting 2 points from the current score. The game stops when only two numbers are left in the numerical string. If the score is equal to 1 then the player who started the game wins it. Otherwise, the second player wins. A numerical string "10101" is given at the beginning of the game. A score that is common for both players is 6 (there is no separate score for each player). Moves are performed in a sequential manner. During a move, a player examines the numerical string from left to right. The following moves are allowed in the game: a) replacing 11 by 1 (11=1) or 00 by 0 (00-0) and subtracting 1 point from the current score; b) replacing 10 by 1 (10-1) or 01 by 0 (01=0) and subtracting 2 points from the current score. The game stops when only two numbers are left in the numerical string. If the score is equal to 1 then the player who started the game wins it. Otherwise, the second player wins

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