1151. Minimum Swaps to Group All 1's Together 最少交换次数来组合所有的 1

• 作者： 负雪明烛
• id： fuxuemingzhu
• 个人博客：https://fuxuemingzhu.cn/

---

题目地址：https://leetcode-cn.com/problems/minimum-swaps-to-group-all-1s-together/

题目描述

Given a binary array data, return the minimum number of swaps required to group all 1’s present in the array together in any place in the array.

Example 1:

Input: [1,0,1,0,1]
Output: 1
Explanation:
There are 3 ways to group all 1's together:
[1,1,1,0,0] using 1 swap.
[0,1,1,1,0] using 2 swaps.
[0,0,1,1,1] using 1 swap.
The minimum is 1.

Example 2:

Input: [0,0,0,1,0]
Output: 0
Explanation:
Since there is only one 1 in the array, no swaps needed.

Example 3:

Input: [1,0,1,0,1,0,0,1,1,0,1]
Output: 3
Explanation:
One possible solution that uses 3 swaps is [0,0,0,0,0,1,1,1,1,1,1].

Note:

1 <= data.length <= 10^5 0 <= data[i] <= 1

题目大意

给出一个二进制数组 data，你需要通过交换位置，将数组中 任何位置 上的 1 组合到一起，并返回所有可能中所需 最少的交换次数。

解题方法

滑动窗口

1. 首先统计总的有N个1
2. 设置大小为N的滑动窗口，统计该滑动窗口中的1的个数最大值是K
3. 需要交换N - K次使得该滑动窗口内的0变成1

C++代码如下：

class Solution {
public:
    int minSwaps(vector<int>& data) {
        int N = accumulate(data.begin(), data.end(), 0);
        int left = -N;
        int right = 0;
        int one_counts = 0;
        int K = 0;
        while (right < data.size()) {
            if (data[right] == 1) {
                one_counts ++;
            }
            if (left >= 0 && data[left] == 1) {
                one_counts --;
            }
            K = max(K, one_counts);
            left ++;
            right ++;
        }
        return N - K;
    }
};

日期

2019 年 9 月 23 日 —— 昨夜睡的早，错过了北京的烟火