Given a binary matrix filled with 0's and 1's, find the largest rectangle containing only 1's and return its area. Example: 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 largest rectangle of 1's has area 6. Pattern focus: Monotonic Stack applied row by row on histogram heights.
matrix = binary matrix
largest rectangle area consisting only of 1's
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:
Convert each row into a histogram and reuse the histogram rectangle technique.
Example 2:
Input:
matrix = [["0"]]
Output:
0
Explanation:
A matrix with no 1's has area 0.