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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 all1'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.

Solutions (Rust)

1. Solution

implSolution{pubfnmin_swaps(nums:Vec<i32>) -> i32{let count_1 = nums.iter().filter(|&&x| x == 1).count();letmut count_0 = nums.iter().take(count_1).filter(|&&x| x == 0).count();letmut ret = count_0;for i in0..nums.len() - 1{ count_0 -= (nums[i] == 0)asusize; count_0 += (nums[(i + count_1) % nums.len()] == 0)asusize; ret = ret.min(count_0);} ret asi32}}
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