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MediumArrays & HashingLC 1253

Reconstruct a 2-Row Binary Matrix

Given the following details of a matrix with n columns and 2 rows : The matrix is a binary matrix, which means each element in the matrix can be 0 or 1. The sum of elements of the 0-th(upper) row is given as upper. The sum of elements of the 1-st(lower) row is given as lower. The sum of elements in the i-th column(0-indexed) is colsum[i], where colsum is given as an integer array with length n. 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.

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Hints
  • 1.Think about which data structure fits best
  • 2.Consider the time complexity of your approach
  • 3.Look for patterns in the constraints
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