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 weightxis destroyed, and the stone of weightyhas new weighty - 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 = [2,4,1,5,6,3]
Output: 1Explanation:
- We smash 2 and 1 which makes the array [1,4,5,6,3].
- We smash 4 and 3 which makes the array [1,1,5,6].
- We smash 5 and 6 which makes the array [1,1,1].
- We smash 1 and 1 which makes the array [1].
Example 2:
Input: stones = [4,4,1,7,10]
Output: 2Constraints:
1 <= stones.length <= 301 <= stones[i] <= 100