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Alice and Bob take turns playing a game, with Alice starting first. Initially, there are n stones in a pile. On each player's turn, that player makes a move consisting of removing any non-zero square number of stones in the pile. Also, if a player cannot make a move, he/she loses the game. Given a positive integer n, return true if and only if Alice wins the game otherwise return false, assuming both players play optimally.
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Alice and Bob take turns playing a game, with Alice starting first. Initially, there are n stones in a pile. On each player's turn, that player makes a move consisting of removing any non-zero square number of stones in the pile. Also, if a player cannot make a move, he/she loses the game. Given a positive integer n, return true if and only if Alice wins the game otherwise return false, assuming both players play optimally.
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n = 1
true
n = 2
false
n = 4
true
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Solve Stone Game IV — Alice and Bob take turns playing a game, with Alice starting first. Initially, t...
Here's the optimal approach using Math:
Time: O(n) | Space: O(n)
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