We have a collection of stones, each stone has a positive integer weight.

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:

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

At the end, there is at most 1 stone left.  Return the weight of this stone (or 0 if there are no stones left.)

Example 1:

Input: [2,7,4,1,8,1] Output: 1 Explanation: We combine 7 and 8 to get 1 so the array converts to [2,4,1,1,1] then, we combine 2 and 4 to get 2 so the array converts to [2,1,1,1] then, we combine 2 and 1 to get 1 so the array converts to [1,1,1] then, we combine 1 and 1 to get 0 so the array converts to [1] then that’s the value of last stone.

Note:

  1. 1 <= stones.length <= 30
  2. 1 <= stones[i] <= 1000

Solution

Every time to pick highest weight stones, We can use priority queue which can order stones based on their weight, Every time peek two stones and add difference back to queue.

Code

Output

1

We encourage you to write a comment if you have a better solution or having any doubt on the above topic.

Leave a Reply

Your email address will not be published. Required fields are marked *