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Solution: Count Negative Numbers in a Sorted Matrix

Understand how to efficiently count negative numbers in a matrix sorted in non-increasing order by rows and columns. This lesson teaches you an algorithm that leverages the matrix's sorted structure to minimize unnecessary checks, scanning leftward from the last known negative position in each row. By the end of this lesson, you'll be able to implement this solution with a time complexity of O(m + n) and constant space, enhancing your problem-solving skills for matrix-based coding interview questions.

Statement

Given a matrix grid of size m  nm \ * \ n, where each row and column is sorted in non-increasing order, find and return the total count of negative numbers in the matrix.

Constraints:

  • mm ==== grid.length

  • nn ...