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48 lines
2.6 KiB
HTML
48 lines
2.6 KiB
HTML
<p>Alice and Bob continue their games with piles of stones. There are several stones <strong>arranged in a row</strong>, and each stone has an associated value which is an integer given in the array <code>stoneValue</code>.</p>
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<p>Alice and Bob take turns, with Alice starting first. On each player's turn, that player can take <code>1</code>, <code>2</code>, or <code>3</code> stones from the <strong>first</strong> remaining stones in the row.</p>
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<p>The score of each player is the sum of the values of the stones taken. The score of each player is <code>0</code> initially.</p>
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<p>The objective of the game is to end with the highest score, and the winner is the player with the highest score and there could be a tie. The game continues until all the stones have been taken.</p>
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<p>Assume Alice and Bob <strong>play optimally</strong>.</p>
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<p>Return <code>"Alice"</code><em> if Alice will win, </em><code>"Bob"</code><em> if Bob will win, or </em><code>"Tie"</code><em> if they will end the game with the same score</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> stoneValue = [1,2,3,7]
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<strong>Output:</strong> "Bob"
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<strong>Explanation:</strong> Alice will always lose. Her best move will be to take three piles and the score become 6. Now the score of Bob is 7 and Bob wins.
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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> stoneValue = [1,2,3,-9]
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<strong>Output:</strong> "Alice"
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<strong>Explanation:</strong> Alice must choose all the three piles at the first move to win and leave Bob with negative score.
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If Alice chooses one pile her score will be 1 and the next move Bob's score becomes 5. In the next move, Alice will take the pile with value = -9 and lose.
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If Alice chooses two piles her score will be 3 and the next move Bob's score becomes 3. In the next move, Alice will take the pile with value = -9 and also lose.
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Remember that both play optimally so here Alice will choose the scenario that makes her win.
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</pre>
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<p><strong class="example">Example 3:</strong></p>
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<pre>
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<strong>Input:</strong> stoneValue = [1,2,3,6]
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<strong>Output:</strong> "Tie"
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<strong>Explanation:</strong> Alice cannot win this game. She can end the game in a draw if she decided to choose all the first three piles, otherwise she will lose.
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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>1 <= stoneValue.length <= 5 * 10<sup>4</sup></code></li>
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<li><code>-1000 <= stoneValue[i] <= 1000</code></li>
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</ul>
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