You are given a 0-indexed m x n binary matrix mat and an integer cols, which denotes the number of columns you must choose.

A row is covered by a set of columns if each cell in the row that has a value of 1 also lies in one of the columns of the chosen set.

Return the maximum number of rows that can be covered by a set of cols columns.

Example 1:

Input: mat = [[0,0,0],[1,0,1],[0,1,1],[0,0,1]], cols = 2
Output: 3
Explanation:
As shown in the diagram above, one possible way of covering 3 rows is by selecting the 0th and 2nd columns.
It can be shown that no more than 3 rows can be covered, so we return 3.

Example 2:

Input: mat = [[1],[0]], cols = 1
Output: 2
Explanation:
Selecting the only column will result in both rows being covered, since the entire matrix is selected.
Therefore, we return 2.

Constraints:

• m == mat.length
• n == mat[i].length
• 1 <= m, n <= 12
• mat[i][j] is either 0 or 1.
• 1 <= cols <= n