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Maximal Rectangle

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

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

Maximal Rectangle diagram

Example 1

Input: matrix = [["1","0","1","0","0"],["1","0","1","1","1"],["1","1","1","1","1"],["1","0","0","1","0"]]

Output: 6

Explanation: The maximal rectangle is shown in the above picture.

Example 2

Input: matrix = [["0"]]

Output: 0

Example 3

Input: matrix = [["1"]]

Output: 1

Constraints

  • rows == matrix.length
  • cols == matrix[i].length
  • 1 <= row, cols <= 200
  • matrix[i][j] is '0' or '1'.

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