1738. Find Kth Largest XOR Coordinate Value

https://leetcode.com/problems/find-kth-largest-xor-coordinate-value

Description

You are given a 2D matrix of size m x n, consisting of non-negative integers. You are also given an integer k.

The value of coordinate (a, b) of the matrix is the XOR of all matrix[i][j] where 0 <= i <= a < m and 0 <= j <= b < n (0-indexed).

Find the kth largest value (1-indexed) of all the coordinates of matrix.

Example 1:

**Input:** matrix = [[5,2],[1,6]], k = 1
**Output:** 7
**Explanation:** The value of coordinate (0,1) is 5 XOR 2 = 7, which is the largest value.

Example 2:

**Input:** matrix = [[5,2],[1,6]], k = 2
**Output:** 5
**Explanation:** The value of coordinate (0,0) is 5 = 5, which is the 2nd largest value.

Example 3:

**Input:** matrix = [[5,2],[1,6]], k = 3
**Output:** 4
**Explanation:** The value of coordinate (1,0) is 5 XOR 1 = 4, which is the 3rd largest value.

Example 4:

**Input:** matrix = [[5,2],[1,6]], k = 4
**Output:** 0
**Explanation:** The value of coordinate (1,1) is 5 XOR 2 XOR 1 XOR 6 = 0, which is the 4th largest value.

Constraints:

• m == matrix.length

• n == matrix[i].length

• 1 <= m, n <= 1000

• 0 <= matrix[i][j] <= 106

• 1 <= k <= m * n

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