Package g1401_1500.s1406_stone_game_iii
Class Solution
java.lang.Object
g1401_1500.s1406_stone_game_iii.Solution
1406 - Stone Game III.<p>Hard</p>
<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>
<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>
<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>
<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>
<p>Assume Alice and Bob <strong>play optimally</strong>.</p>
<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>
<p><strong>Example 1:</strong></p>
<p><strong>Input:</strong> values = [1,2,3,7]</p>
<p><strong>Output:</strong> “Bob”</p>
<p><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.</p>
<p><strong>Example 2:</strong></p>
<p><strong>Input:</strong> values = [1,2,3,-9]</p>
<p><strong>Output:</strong> “Alice”</p>
<p><strong>Explanation:</strong> Alice must choose all the three piles at the first move to win and leave Bob with negative score. 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. 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. Remember that both play optimally so here Alice will choose the scenario that makes her win.</p>
<p><strong>Example 3:</strong></p>
<p><strong>Input:</strong> values = [1,2,3,6]</p>
<p><strong>Output:</strong> “Tie”</p>
<p><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.</p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>1 <= stoneValue.length <= 5 * 10<sup>4</sup></code></li>
<li><code>-1000 <= stoneValue[i] <= 1000</code></li>
</ul>
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Solution
public Solution()
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Method Details
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stoneGameIII
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