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Grokking the Coding Interview Patterns in C++

Solution: Lucky Numbers in a Matrix

Explore how to find lucky numbers in an m by n matrix by identifying elements that are the minimum in their row and the maximum in their column. Learn to implement a greedy algorithm that efficiently narrows down candidates, understand the proof of uniqueness, and analyze time and space complexity for this problem.

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Statement

Given an m×nm \times n matrix of distinct numbers, return the lucky number in the matrix.

A lucky number is an element of the matrix such that it is the smallest element in its row and largest in its column.

Constraints:

  • m=m = matrix.length

  • n=n = ...