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Tracing the game
Two players pick from ends of . Each tries to find the largest their score. Who wins? = net advantage (my score. Opponent's) for interval .
Player 1 wants positive, Player 2 wants negative (or zero). , , . For : take 1 and face , or take 5 and face . Best: . For : take 1 and face , or take 2 and face . After computing: Player 1 wins if .
