How to Solve Minimum Adjacent Swaps to Alternate Parity Problem
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Minimum Adjacent Swaps to Alternate Parity
You are given an array nums of distinct integers. In one operation, you can swap any two adjacent elements in the array. An arrangement of the array is considered valid if the parity of adjacent eleme...
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Understanding the Minimum Adjacent Swaps to Alternate Parity Problem
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Problem Statement
You are given an array nums of distinct integers. In one operation, you can swap any two adjacent elements in the array. An arrangement of the array is considered valid if the parity of adjacent elements alternates, meaning every pair of neighboring elements consists of one even and one odd number. Return the minimum number of adjacent swaps required to transform nums into any valid arrangement. If it is impossible to rearrange nums such that no two adjacent elements have the same parity, return -1.
Minimum Adjacent Swaps to Alternate Parity
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Examples
nums = [2,4,6,5,7]3Swapping 5 and 6, the array becomes [2,4,5,6,7] Swapping 5 and 4, the array becomes [2,5,4,6,7] Swapping 6 and 7, the array becomes [2,5,4,7,6]. The array is now a valid arrangement. Thus, the answer is 3.
nums = [2,4,5,7]1By swapping 4 and 5, the array becomes [2,5,4,7], which is a valid arrangement. Thus, the answer is 1.
nums = [1,2,3]0The array is already a valid arrangement. Thus, no operations are needed.
nums = [4,5,6,8]-1No valid arrangement is possible. Thus, the answer is -1.
Constraints
1 <= nums.length <= 1051 <= nums[i] <= 109All elements in nums are distinct.How Interview Coder Helps with Leetcode Problems
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