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Problem: Maximal Rectangle

Medium
30 min
Explore how to use dynamic programming to identify the largest rectangle filled with ones in a binary matrix. This lesson helps you understand problem constraints, strategize your approach, and implement a solution that optimizes for performance and complexity.

Statement

Given a binary matrix filled with 0’s and 1’s, find the largest rectangle containing only 1’s and return its area.

Constraints:

  • rows ==== matrix.length

  • cols ==== matrix[i].length

  • 11 \leq rows, cols 200\leq 200

  • matrix[i][j] is ‘0’ or ‘1’.

Problem
Ask
Submissions

Problem: Maximal Rectangle

Medium
30 min
Explore how to use dynamic programming to identify the largest rectangle filled with ones in a binary matrix. This lesson helps you understand problem constraints, strategize your approach, and implement a solution that optimizes for performance and complexity.

Statement

Given a binary matrix filled with 0’s and 1’s, find the largest rectangle containing only 1’s and return its area.

Constraints:

  • rows ==== matrix.length

  • cols ==== matrix[i].length

  • 11 \leq rows, cols 200\leq 200

  • matrix[i][j] is ‘0’ or ‘1’.