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.
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Example 1:
\n![\"\"](\"https://assets.leetcode.com/uploads/2020/12/29/screenshot-2020-12-30-at-40536-pm.png\")
\n\nInput: matrix = [[0,0,1],[1,1,1],[1,0,1]]\nOutput: 4\nExplanation: You can rearrange the columns as shown above.\nThe largest submatrix of 1s, in bold, has an area of 4.\n\n\n
Example 2:
\n![\"\"](\"https://assets.leetcode.com/uploads/2020/12/29/screenshot-2020-12-30-at-40852-pm.png\")
\n\nInput: matrix = [[1,0,1,0,1]]\nOutput: 3\nExplanation: You can rearrange the columns as shown above.\nThe largest submatrix of 1s, in bold, has an area of 3.\n\n\n
Example 3:
\n\n\nInput: matrix = [[1,1,0],[1,0,1]]\nOutput: 2\nExplanation: Notice that you must rearrange entire columns, and there is no way to make a submatrix of 1s larger than an area of 2.\n\n\n
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Constraints:
\n\nm == matrix.lengthn == matrix[i].length1 <= m * n <= 105matrix[i][j] is either 0 or 1.Compiled with clang 11 using the latest C++ 20 standard.
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Most standard library headers are already included automatically for your convenience.
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