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 <= 105`
- `matrix[i][j]` is either `0` or `1`.