Leetcode Problem 1879. Minimum XOR Sum of Two Arrays

1879. Minimum XOR Sum of Two Arrays

Leetcode Solutions

Dynamic Programming with Bit Masking

  1. Define a recursive function dp(mask, i) that returns the minimum XOR sum for a given bitmask mask and index i in nums1.
  2. If i is equal to the length of nums1, return 0 as the base case.
  3. For each bit j in the bitmask that is set (indicating the element at index j in nums2 is not yet used), calculate the XOR of nums1[i] and nums2[j] and add it to the result of the recursive call dp(mask ^ (1 << j), i + 1).
  4. Take the minimum of all these values to find the minimum XOR sum for the current state.
  5. Use memoization to store the results of subproblems in a dictionary or array.
  6. Initialize the bitmask with all bits set (indicating all elements in nums2 are available) and start the recursion from index 0 in nums1.
  7. Return the result of the initial call to dp.
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Brute Force with Permutations

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