Last Stone Weight

You are given an array of integers stones where stones[i] is the weight of the i^th stone.

We are playing a game with the stones. On each turn, we choose the heaviest two stones and smash them together. Suppose the heaviest two stones have weights x and y with x <= y. The result of this smash is:

  • If x == y, both stones are destroyed.
  • If x != y, the stone of weight x is destroyed, and the stone of weight y has new weight y - x.

At the end of the game, there is at most one stone left.

Return the weight of the last remaining stone. If there are no stones left, return 0.

Example 1
Inputstones = [2,7,4,1,8,1]
Output1
After repeatedly smashing the two heaviest stones, the final remaining stone has weight 1.
Example 2
Inputstones = [1]
Output1
There is only one stone, so its weight is returned.

Constraints

  • 1 <= stones.length <= 30
  • 1 <= stones[i] <= 1000

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