Solution: Build a Matrix with Conditions

Explore how to build a matrix that meets given row and column order constraints by applying topological sorting. Learn to detect cycles in dependencies, map elements to matrix positions, and handle cases where no valid arrangement is possible. This lesson clarifies organizing tasks with dependency graphs to solve matrix construction problems efficiently.

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Statement
Solution
- Time complexity
- Space complexity

Statement

You are given a positive integer $k$ and two conditions:

A 2D integer array rowConditions of size $n$ , where rowConditions[i] = [above[i], below[i]]. This indicates that above[i] must appear in a row above below[i] in the final matrix.
A 2D integer array colConditions of size $m$ , where colConditions[i] = [left[i], right[i]]. This indicates that left[i] must appear in a column to the left of right[i] in the final matrix.

Both arrays contain integers ranging from $1$ to $k$ .

You need to construct a $k \times k$ matrix that includes all the integers from $1$ to $k$ ...