How to Solve Maximum K to Sort a Permutation Problem
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Maximum K to Sort a Permutation
You are given an integer array nums of length n, where nums is a permutation of the numbers in the range [0..n - 1]. You may swap elements at indices i and j only if nums[i] AND nums[j] == k, where AN...
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Understanding the Maximum K to Sort a Permutation Problem
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Problem Statement
You are given an integer array nums of length n, where nums is a permutation of the numbers in the range [0..n - 1]. You may swap elements at indices i and j only if nums[i] AND nums[j] == k, where AND denotes the bitwise AND operation and k is a non-negative integer. Return the maximum value of k such that the array can be sorted in non-decreasing order using any number of such swaps. If nums is already sorted, return 0.
Maximum K to Sort a Permutation
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Examples
nums = [0,3,2,1]
1
Choose k = 1. Swapping nums[1] = 3 and nums[3] = 1 is allowed since nums[1] AND nums[3] == 1, resulting in a sorted permutation: [0, 1, 2, 3].
nums = [0,1,3,2]
2
Choose k = 2. Swapping nums[2] = 3 and nums[3] = 2 is allowed since nums[2] AND nums[3] == 2, resulting in a sorted permutation: [0, 1, 2, 3].
nums = [3,2,1,0]
0
Only k = 0 allows sorting since no greater k allows the required swaps where nums[i] AND nums[j] == k.
Constraints
1 <= n == nums.length <= 105
0 <= nums[i] <= n - 1
nums is a permutation of integers from 0 to n - 1.
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