1151 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 are 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].

Constraints:

  • 1 <= data.length <= 105
  • data[i] is either 0 or 1.
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class Solution:
    def minSwaps(self, data: List[int]) -> int:
        ones = sum(data)
        count, max_one = 0, 0
        l = r = 0
        while r < len(data):
            count += data[r]
            r += 1
            if r - l > ones:
                count -= data[l]
                l += 1
            max_one = max(max_one, count)
        return ones - max_one