Solution: Lucky Numbers in a Matrix
Let’s solve the Lucky Numbers in a Matrix problem using the Graphs pattern.
We'll cover the following...
Statement
Given an
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:
matrix.length
matrix[i].length
, matrix[i][j]
All elements in the
matrix
are distinct.
Solution
The core idea behind the solution is to recognize that there can be, at most, one lucky number in the matrix. This is proven by contradiction, as having two such numbers would violate the unique conditions for being a lucky number.
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