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problems/877.stone-game.md

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## 代码
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```js
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/*
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* @lc app=leetcode id=877 lang=javascript
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*
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* [877] Stone Game
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*
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* https://leetcode.com/problems/stone-game/description/
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*
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* algorithms
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* Medium (60.46%)
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* Total Accepted: 21.4K
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* Total Submissions: 35.3K
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* Testcase Example: '[5,3,4,5]'
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*
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* Alex and Lee play a game with piles of stones.  There are an even number of
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* piles arranged in a row, and each pile has a positive integer number of
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* stones piles[i].
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*
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* The objective of the game is to end with the most stones.  The total number
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* of stones is odd, so there are no ties.
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*
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* Alex and Lee take turns, with Alex starting first.  Each turn, a player
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* takes the entire pile of stones from either the beginning or the end of the
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* row.  This continues until there are no more piles left, at which point the
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* person with the most stones wins.
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*
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* Assuming Alex and Lee play optimally, return True if and only if Alex wins
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* the game.
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*
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*
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*
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* Example 1:
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*
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*
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* Input: [5,3,4,5]
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* Output: true
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* Explanation:
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* Alex starts first, and can only take the first 5 or the last 5.
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* Say he takes the first 5, so that the row becomes [3, 4, 5].
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* If Lee takes 3, then the board is [4, 5], and Alex takes 5 to win with 10
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* points.
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* If Lee takes the last 5, then the board is [3, 4], and Alex takes 4 to win
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* with 9 points.
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* This demonstrated that taking the first 5 was a winning move for Alex, so we
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* return true.
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*
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*
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*
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*
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* Note:
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*
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*
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* 2 <= piles.length <= 500
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* piles.length is even.
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* 1 <= piles[i] <= 500
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* sum(piles) is odd.
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*
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*
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*
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*/
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/**
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* @param {number[]} piles
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* @return {boolean}

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