2134. Minimum Swaps to Group All 1's Together II

A swap is defined as taking two distinct positions in an array and swapping the values in them.

A circular array is defined as an array where we consider the first element and the last element to be adjacent.

Given a binary circular array nums, return the minimum number of swaps required to group all 1's present in the array together at any location.

Example 1:

Input: nums = [0,1,0,1,1,0,0]
Output: 1
Explanation: Here are a few of the ways to group all the 1's together:
[0,0,1,1,1,0,0] using 1 swap.
[0,1,1,1,0,0,0] using 1 swap.
[1,1,0,0,0,0,1] using 2 swaps (using the circular property of the array).
There is no way to group all 1's together with 0 swaps.
Thus, the minimum number of swaps required is 1.

Example 2:

Input: nums = [0,1,1,1,0,0,1,1,0]
Output: 2
Explanation: Here are a few of the ways to group all the 1's together:
[1,1,1,0,0,0,0,1,1] using 2 swaps (using the circular property of the array).
[1,1,1,1,1,0,0,0,0] using 2 swaps.
There is no way to group all 1's together with 0 or 1 swaps.
Thus, the minimum number of swaps required is 2.

Example 3:

Input: nums = [1,1,0,0,1]
Output: 0
Explanation: All the 1's are already grouped together due to the circular property of the array.
Thus, the minimum number of swaps required is 0.

Constraints:

  • 1 <= nums.length <= 105

  • nums[i] is either 0 or 1.

Solution:

differece as 1151 is the array is circle

维护一个sliding window

class Solution {
    public int minSwaps(int[] nums) {
        
        int n  = nums.length;
        int numsOfOne = 0;
        List<Integer> list = new ArrayList<>();
        for(int i = 0; i< n ;i++)
        {
            if(nums[i] == 1)
            {
                numsOfOne++;
            }
            list.add(nums[i]);
        }
        for(int i = 0; i< numsOfOne; i++)
        {
            list.add(nums[i]);
        }
        
        //slidingwindow size = n;
        
        int currentWindow = 0;
        
        for(int i = 0; i< numsOfOne; i++)
        {
            if(list.get(i) == 0)
            {
                currentWindow++;
            }
        }
        int result = currentWindow;
        int left = 1; 
        int right  = numsOfOne;
        
        while( right < list.size())
        {
            if(list.get(left-1) == 0)
            {
                currentWindow--;
            }
            if(list.get(right) == 0)
            {
                currentWindow++;
            }
            result = Math.min(result, currentWindow);
            left++;
            right++;
        }
        return result;
    }
}

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