Minimum Swaps to Group All 1's Together

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

Example 3:

Input: data = [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].

Example 4:

Input: data = [1,0,1,0,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,1]
Output: 8

 

Constraints:


Solution:

class Solution {
    public int minSwaps(int[] data) {
        int num = 0;
        for (int val : data) num += val;
        int left = 0, right = 0, cur = 0, width = 0, max = 0, n = data.length;
        while (right < n) {
            cur += data[right];
            width ++;
            if (width == num) {
                max = Math.max(max, cur);
                cur -= data[left ++];
                width --;
            }
            right ++;
        }
        return num - max;
    }
}