[LeetCode] 1046. Last Stone Weight

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

最后一块石头的重量。

题意是有一堆石头，每块石头的重量都是正整数。每一回合，从中选出两块 最重的 石头，然后将它们一起粉碎。假设石头的重量分别为 x 和 y，且 x <= y。那么粉碎的可能结果如下：

• 如果 x == y，那么两块石头都会被完全粉碎；
• 如果 x != y，那么重量为 x 的石头将会完全粉碎，而重量为 y 的石头新重量为 y-x。

最后，最多只会剩下一块石头。返回此石头的重量。如果没有石头剩下，就返回 0。

思路是用maxheap放入所有石头的重量，一次弹出两个，并把两者的差值再放回heap，直到heap为空。

时间O(nlogn)

空间O(n)

Java实现

class Solution {
    public int lastStoneWeight(int[] stones) {
        PriorityQueue<Integer> pq = new PriorityQueue<>((a, b) -> b - a);
        for (int stone : stones) {
            pq.offer(stone);
        }
        while (pq.size() > 1) {
            pq.offer(pq.poll() - pq.poll());
        }
        return pq.poll();
    }
}

LeetCode 题目总结