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Reconstruct a 2-Row Binary Matrix

Given the following details of a matrix with n columns and 2 rows : Your task is to reconstruct the matrix with upper, lower and colsum.

Given the following details of a matrix with n columns and 2 rows :

Your task is to reconstruct the matrix with upper, lower and colsum.

Return it as a 2-D integer array.

If there are more than one valid solution, any of them will be accepted.

If no valid solution exists, return an empty 2-D array.

Reconstruct a 2-Row Binary Matrix diagram

Example 1

Input: upper = 2, lower = 1, colsum = [1,1,1]

Output: [[1,1,0],[0,0,1]]

Explanation: [[1,0,1],[0,1,0]], and [[0,1,1],[1,0,0]] are also correct answers.

Example 2

Input: upper = 2, lower = 3, colsum = [2,2,1,1]

Output: []

Example 3

Input: upper = 5, lower = 5, colsum = [2,1,2,0,1,0,1,2,0,1]

Output: [[1,1,1,0,1,0,0,1,0,0],[1,0,1,0,0,0,1,1,0,1]]

Constraints

  • 1 <= colsum.length <= 10^5
  • 0 <= upper, lower <= colsum.length
  • 0 <= colsum[i] <= 2

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