Largest Submatrix With Rearrangements
You are given a binary matrix matrix of size m x n, and you are allowed to rearrange the columns of the matrix in any order.
You are given a binary matrix matrix of size m x n, and you are allowed to rearrange the columns of the matrix in any order.
Return the area of the largest submatrix within matrix where every element of the submatrix is 1 after reordering the columns optimally.
Example 1
Input: matrix = [[0,0,1],[1,1,1],[1,0,1]]
Output: 4
Explanation: You can rearrange the columns as shown above. The largest submatrix of 1s, in bold, has an area of 4.
Example 2
Input: matrix = [[1,0,1,0,1]]
Output: 3
Explanation: You can rearrange the columns as shown above. The largest submatrix of 1s, in bold, has an area of 3.
Example 3
Input: matrix = [[1,1,0],[1,0,1]]
Output: 2
Explanation: Notice that you must rearrange entire columns, and there is no way to make a submatrix of 1s larger than an area of 2.
Constraints
- m == matrix.length
- n == matrix[i].length
- 1 <= m * n <= 10^5
- matrix[i][j] is either 0 or 1.
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