How to Solve Partition Array to Minimize X O R Problem
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Partition Array to Minimize XOR
You are given an integer array nums and an integer k. Your task is to partition nums into k non-empty subarrays. For each subarray, compute the bitwise XOR of all its elements. Return the minimum poss...
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Problem Statement
You are given an integer array nums and an integer k. Your task is to partition nums into k non-empty subarrays. For each subarray, compute the bitwise XOR of all its elements. Return the minimum possible value of the maximum XOR among these k subarrays.
Partition Array to Minimize XOR
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Examples
nums = [1,2,3], k = 2
1
The optimal partition is [1] and [2, 3]. XOR of the first subarray is 1. XOR of the second subarray is 2 XOR 3 = 1. The maximum XOR among the subarrays is 1, which is the minimum possible.
nums = [2,3,3,2], k = 3
2
The optimal partition is [2], [3, 3], and [2]. XOR of the first subarray is 2. XOR of the second subarray is 3 XOR 3 = 0. XOR of the third subarray is 2. The maximum XOR among the subarrays is 2, which is the minimum possible.
nums = [1,1,2,3,1], k = 2
0
The optimal partition is [1, 1] and [2, 3, 1]. XOR of the first subarray is 1 XOR 1 = 0. XOR of the second subarray is 2 XOR 3 XOR 1 = 0. The maximum XOR among the subarrays is 0, which is the minimum possible.
Constraints
1 <= nums.length <= 250
1 <= nums[i] <= 109
1 <= k <= n
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