How to Solve Partition Array for Maximum X O R and A N D Problem
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Partition Array for Maximum XOR and AND
You are given an integer array nums. Partition the array into three (possibly empty) subsequences A, B, and C such that every element of nums belongs to exactly one subsequence. Your goal is to maximi...
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Understanding the Partition Array for Maximum X O R and A N D Problem
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Problem Statement
You are given an integer array nums. Partition the array into three (possibly empty) subsequences A, B, and C such that every element of nums belongs to exactly one subsequence. Your goal is to maximize the value of: XOR(A) + AND(B) + XOR(C) where: XOR(arr) denotes the bitwise XOR of all elements in arr. If arr is empty, its value is defined as 0. AND(arr) denotes the bitwise AND of all elements in arr. If arr is empty, its value is defined as 0. Return the maximum value achievable. Note: If multiple partitions result in the same maximum sum, you can consider any one of them.
Partition Array for Maximum XOR and AND
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Examples
nums = [2,3]5One optimal partition is: A = [3], XOR(A) = 3 B = [2], AND(B) = 2 C = [], XOR(C) = 0 The maximum value of: XOR(A) + AND(B) + XOR(C) = 3 + 2 + 0 = 5. Thus, the answer is 5.
nums = [1,3,2]6One optimal partition is: A = [1], XOR(A) = 1 B = [2], AND(B) = 2 C = [3], XOR(C) = 3 The maximum value of: XOR(A) + AND(B) + XOR(C) = 1 + 2 + 3 = 6. Thus, the answer is 6.
nums = [2,3,6,7]15One optimal partition is: A = [7], XOR(A) = 7 B = [2,3], AND(B) = 2 C = [6], XOR(C) = 6 The maximum value of: XOR(A) + AND(B) + XOR(C) = 7 + 2 + 6 = 15. Thus, the answer is 15.
Constraints
1 <= nums.length <= 191 <= nums[i] <= 109How Interview Coder Helps with Leetcode Problems
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