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g1001_1100.s1049_last_stone_weight_ii.readme.md Maven / Gradle / Ivy

1049\. Last Stone Weight II

Medium

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

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

*   If `x == y`, both stones are destroyed, and
*   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 smallest possible weight of the left stone_. If there are no stones left, return `0`.

**Example 1:**

**Input:** stones = [2,7,4,1,8,1]

**Output:** 1

**Explanation:**

We can combine 2 and 4 to get 2, so the array converts to [2,7,1,8,1] then,

we can combine 7 and 8 to get 1, so the array converts to [2,1,1,1] then,

we can combine 2 and 1 to get 1, so the array converts to [1,1,1] then,

we can combine 1 and 1 to get 0, so the array converts to [1], then that's the optimal value.

**Example 2:**

**Input:** stones = [31,26,33,21,40]

**Output:** 5

**Constraints:**

*   `1 <= stones.length <= 30`
*   `1 <= stones[i] <= 100`