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39 lines
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39 lines
1.8 KiB
HTML
<p>Alice and Bob play a game with piles of stones. There are an <strong>even</strong> number of piles arranged in a row, and each pile has a <strong>positive</strong> integer number of stones <code>piles[i]</code>.</p>
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<p>The objective of the game is to end with the most stones. The <strong>total</strong> number of stones across all the piles is <strong>odd</strong>, so there are no ties.</p>
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<p>Alice and Bob take turns, with <strong>Alice starting first</strong>. Each turn, a player takes the entire pile of stones either from the <strong>beginning</strong> or from the <strong>end</strong> of the row. This continues until there are no more piles left, at which point the person with the <strong>most stones wins</strong>.</p>
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<p>Assuming Alice and Bob play optimally, return <code>true</code><em> if Alice wins the game, or </em><code>false</code><em> if Bob wins</em>.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> piles = [5,3,4,5]
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<strong>Output:</strong> true
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<strong>Explanation:</strong>
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Alice starts first, and can only take the first 5 or the last 5.
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Say she takes the first 5, so that the row becomes [3, 4, 5].
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If Bob takes 3, then the board is [4, 5], and Alice takes 5 to win with 10 points.
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If Bob takes the last 5, then the board is [3, 4], and Alice takes 4 to win with 9 points.
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This demonstrated that taking the first 5 was a winning move for Alice, so we return true.
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> piles = [3,7,2,3]
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<strong>Output:</strong> true
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>2 <= piles.length <= 500</code></li>
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<li><code>piles.length</code> is <strong>even</strong>.</li>
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<li><code>1 <= piles[i] <= 500</code></li>
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<li><code>sum(piles[i])</code> is <strong>odd</strong>.</li>
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</ul>
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