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We have a collection of stones, each stone has a positive integer weight. |
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Each turn, we choose the two heaviest stones and smash them together. Suppose the stones have weights x and y with x <= y. The result of this smash is: |
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If x == y, both stones are totally destroyed; |
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If x != y, the stone of weight x is totally destroyed, and the stone of weight y has new weight y-x. |
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At the end, there is at most 1 stone left. Return the weight of this stone (or 0 if there are no stones left.) |
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Example 1: |
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Input: [2,7,4,1,8,1] |
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Output: 1 |
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Explanation: |
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We combine 7 and 8 to get 1 so the array converts to [2,4,1,1,1] then, |
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we combine 2 and 4 to get 2 so the array converts to [2,1,1,1] then, |
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we combine 2 and 1 to get 1 so the array converts to [1,1,1] then, |
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we combine 1 and 1 to get 0 so the array converts to [1] then that's the value of last stone. |
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Note: |
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1 <= stones.length <= 30 |
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1 <= stones[i] <= 1000 |
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