What is the approach to solve the given problem Code to Win?

Modified on Tue, 28 Mar, 2023 at 4:40 PM

What is the issue? 

I don’t know how to solve this problem.

Do you understand the problem?

No?

Let’s discuss the problem first:

Problem statement describes a scenario where you are given a rectangular matrix of size n x m, where each cell of the matrix contains an integer. Additionally, you are given an integer 'size', which represents the size of a submatrix. The task is to calculate the sum of all numbers within each size x size submatrix, determine the maximum of all these sums, and then find all distinct numbers that appear in at least one of the submatrices having the sum of maxSum. Finally, the function should return the sum of these distinct numbers. 


Check: Do you have any approach to solve it now?

Yes, Let’s try it first then.


No?

Let’s discuss the approach.


To solve this problem, we need to first iterate through all possible size x size submatrices within the given matrix and calculate the sum of all the elements in each submatrix. We can achieve this using a nested loop where the outer loop iterates through all possible starting rows of the submatrix, and the inner loop iterates through all possible starting columns of the submatrix.


After calculating the sum of all submatrices, we need to find the maximum sum among them. Once we have found the maximum sum, we need to iterate through all the submatrices having this maximum sum and collect all the distinct numbers that appear in at least one of these submatrices. We can do this by using a set data structure to store the distinct numbers that appear in the submatrices. Finally, we need to return the sum of all the distinct numbers that appear in the submatrices having the maximum sum.


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