C# Dynamic Programming Solution
Intuition\n Describe your first thoughts on how to solve this problem. To solve this problem, we\'ll start by computing the XOR values for each coordinate (a, b
# Intuition\n<!-- Describe your first thoughts on how to solve this problem. -->To solve this problem, we\'ll start by computing the XOR values for each coordinate (a, b) in the matrix. We\'ll use a dynamic programming approach to efficiently calculate these XOR values, utilizing a prefix XOR matrix. The key idea is that the XOR for any cell (a, b) can be derived from the XOR values of its neighboring cells:\nXOR(a,b) = matrix[a][b] \u2295 XOR(a - 1, b) \u2295 XOR(a, b - 1) \u2295 XOR(a - 1, b - 1).\nAfter computing all XOR values, we\'ll collect them into a list, sort the list in descending order, and return the k-th largest value.\n___\n\n# Approach\n<!-- Describe your approach to solving the problem. -->//  Matrix Initialization: We initialize a \'xor\' matrix of the same size as the input matrix to store the \n//  XOR values.\n//  Calculating XOR Values: For each cell \'(i, j)\' in the matrix, calculate the XOR value using the \n//  previously mentioned formula.\n//  Storing XOR Values: As we calculate the XOR values, we store them in a list called \'values\'.\n//  Sorting: We sort the list \'values\' in descending order to find the k-th largest element.\n//  Return Result: Finally, return the k-th largest value from the sorted list.\n___\n\n# Complexity\n- Time complexity:\n<!-- Add your time complexity here, e.g. $$O(n)$$ -->O(m * n * log(m * n)).\nFilling the XOR Matrix: Calculating the XOR values for all \'m * n\' elements takes \'O(m * n)\' time since each XOR calculation involves constant time operations.\nCollecting and sorting the values: After filling the XOR matrix, we collect the XOR values into a list and sort them. Sorting takes \'O(m * n * log(m * n)) time.\n___\n\n- Space complexity:\n<!-- Add your space complexity here, e.g. $$O(n)$$ -->O(m * n).\nXOR Matrix: The space required for storing the XOR matrix is \'O(m * n).\nList of Values: The list of XOR values also takes \'O(m * n)\' space.\n___\n\n# Code\n```csharp []\npublic class Solution {\n    public int KthLargestValue(int[][] matrix, int k) {\n        int m = matrix.Length;\n        int n = matrix[0].Length;\n        int[,] xor = new int[m, n];\n        List<int> values = new List<int>();\n\n        for (int i = 0; i < m; i++) {\n            for (int j = 0; j < n; j++) {\n                int currentXOR = matrix[i][j];\n                if (i > 0) currentXOR ^= xor[i - 1, j];\n                if (j > 0) currentXOR ^= xor[i, j - 1];\n                if (i > 0 && j > 0) currentXOR ^= xor[i - 1, j - 1];\n                xor[i, j] = currentXOR;\n                values.Add(currentXOR);\n            }\n        }\n\n        values.Sort((a, b) => b.CompareTo(a));  // Sort in descending order\n        return values[k - 1];\n    }\n}\n```
['Array', 'Dynamic Programming', 'Matrix', 'C#']