{ "data": { "question": { "questionId": "2255", "questionFrontendId": "2134", "boundTopicId": null, "title": "Minimum Swaps to Group All 1's Together II", "titleSlug": "minimum-swaps-to-group-all-1s-together-ii", "content": "

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

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

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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.

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Example 1:

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\nInput: nums = [0,1,0,1,1,0,0]\nOutput: 1\nExplanation: Here are a few of the ways to group all the 1's together:\n[0,0,1,1,1,0,0] using 1 swap.\n[0,1,1,1,0,0,0] using 1 swap.\n[1,1,0,0,0,0,1] using 2 swaps (using the circular property of the array).\nThere is no way to group all 1's together with 0 swaps.\nThus, the minimum number of swaps required is 1.\n
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Example 2:

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\nInput: nums = [0,1,1,1,0,0,1,1,0]\nOutput: 2\nExplanation: Here are a few of the ways to group all the 1's together:\n[1,1,1,0,0,0,0,1,1] using 2 swaps (using the circular property of the array).\n[1,1,1,1,1,0,0,0,0] using 2 swaps.\nThere is no way to group all 1's together with 0 or 1 swaps.\nThus, the minimum number of swaps required is 2.\n
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Example 3:

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\nInput: nums = [1,1,0,0,1]\nOutput: 0\nExplanation: All the 1's are already grouped together due to the circular property of the array.\nThus, the minimum number of swaps required is 0.\n
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Constraints:

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