hardArrayBit ManipulationDynamic Programming 0 views

Make the XOR of All Segments Equal to Zero

You are given an array nums​​​ and an integer k​​​​​.

You are given an array nums​​​ and an integer k​​​​​. The XOR of a segment [left, right] where left <= right is the XOR of all the elements with indices between left and right, inclusive: nums[left] XOR nums[left+1] XOR ... XOR nums[right].

Return the minimum number of elements to change in the array such that the XOR of all segments of size k​​​​​​ is equal to zero.

Make the XOR of All Segments Equal to Zero diagram

Example 1

Input: nums = [1,2,0,3,0], k = 1

Output: 3

Explanation: Modify the array from [1,2,0,3,0] to from [0,0,0,0,0].

Example 2

Input: nums = [3,4,5,2,1,7,3,4,7], k = 3

Output: 3

Explanation: Modify the array from [3,4,5,2,1,7,3,4,7] to [3,4,7,3,4,7,3,4,7].

Example 3

Input: nums = [1,2,4,1,2,5,1,2,6], k = 3

Output: 3

Explanation: Modify the array from [1,2,4,1,2,5,1,2,6] to [1,2,3,1,2,3,1,2,3].

Constraints

  • 1 <= k <= nums.length <= 2000
  • ​​​​​​0 <= nums[i] < 210

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