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Problem: Lucky Numbers in a Matrix

Medium
30 min
Explore how to determine lucky numbers in a matrix, defined as elements smallest in their row and largest in their column. Understand constraints and apply logical steps to build a clear solution using graph problem-solving techniques.

Statement

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

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 = matrix[i].length

  • 1n1 \leq n, m50m \leq 50

  • 11 \leq matrix[i][j] 105\leq 10^5

  • All elements in the matrix are distinct.

Problem
Ask
Submissions

Problem: Lucky Numbers in a Matrix

Medium
30 min
Explore how to determine lucky numbers in a matrix, defined as elements smallest in their row and largest in their column. Understand constraints and apply logical steps to build a clear solution using graph problem-solving techniques.

Statement

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

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 = matrix[i].length

  • 1n1 \leq n, m50m \leq 50

  • 11 \leq matrix[i][j] 105\leq 10^5

  • All elements in the matrix are distinct.