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Given a matrix of size NxM and a list of queries containing (a,b) pairs. Find the maximum sum among all (a x b) sub-matrices of the matrix.

**Note:** The rows and columns of the submatrix must be contiguous. For example:

**Example 1:**

Input:N = 3, M = 4 mat[][] = {{1, 2, 3, 9}, {4, 5, 6, 2}, {8, 3, 2, 6}} Q = 1 Queries[] = {(3,2)}Output:28Explanation:Here a = 3 and b = 2. The first 3x2 submatrix is: 1 2 4 5 8 3 The sum of elements in this is 23. The second 3x2 submatrix is: 2 3 5 6 3 2 The sum of elements in this is 21. The third 3x2 submatrix is: 3 9 6 2 2 6 The sum of elements in this is 28. The maximum among these is 28.

**Example 2:**

Input:N = 3, M = 4 mat[][] = {{1, 2, 3, 9}, {4, 5, 6, 2}, {8, 3, 2, 6}} Q = 3 Queries[] = {(1, 1), (2, 2), (3, 3)}Output:9 20 38

**Example 3:**

Input:N = 2, M = 7 mat[][] = {{49, 44, 46, 22, 24, 11, 2}, {5, 25, 24, 28, 20, 47, 47}} Q = 1 Queries = {(2, 1)}Output:70

**Your Task:**

You don't need to read input or print anything. Your task is to complete the function **maxSubMatrixSumQueries() **which takes the 2D array of integers mat, n, m, queries and q as input parameters and returns an array of integers denoting the maximum sum for each query.

**Expected Time Complexity:** O(Q*N*M)

**Expected Auxiliary Space:** O(N*M)

**Constraints:**

1 ≤ N ≤ 10^{3}

1 ≤ M ≤ 10^{3}

1 ≤ Q ≤ 100

1 ≤ a ≤ N

1 ≤ b ≤ M

1 ≤ mat[i][j] ≤ 10^{3}

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Max sum submatrix

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