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Game Theory

Optimal play, Nim values, and winning positions.

4 stops · 33 problems0/33 on the path done
next ▸ Nim GameSilver · 1050
1

Nim & Grundy

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Nim piles, Grundy/mex, Wythoff, Kayles.

○Nim Game○Bounded Takeaway Duel○Nim Heap Showdown○Halve Or Decrement○Capped Pile Nim○Stone Game II○Guess Number Higher Or Lower II○Heap Grundy Value○Token Chase On A Dag○Misere Nim Verdict○Kayles Pin Grundy○Staircase Nim Descent○Wythoff Twin Piles○Grundy Splitting Game○Tic-Tac-Toe Best Score
2

Take-away games

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Subtraction sets, stones, divisor, Fibonacci.

○Divisor Game○Coins In A Line○Divisor Subtraction Duel○Subtraction Set Showdown○Bounded Takeaway Misere○Fibonacci Takeaway○Perfect Square Takeaway○Coin Row Margin○Euclid Subtraction Game○Stone Game III
3

Optimal scoring

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Score margins, predict the winner, end grabs.

○Predict The Winner○Flip Game II○Front Grab Margin○Plus Pair Flip Game
4

More Game Theory

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Everything else decided by optimal play.

○Jump Game III○Optimal Strategy For A Game○Cat And Mouse On A Line○Can I Win
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