Create a program that outputs a walk, trail, path, closed walk, circuit, and cycle of a given directed graph matrix.

Learning Goal: I’m working on a discrete math project and need an explanation and answer to help me learn.Create a program that outputs a walk, trail, path, closed walk, circuit, and cycle of a given directed graph matrix. That matrix is to be hard coded as such…There are 4 vertices in this directed graph. We know that because there are 4 rows and 4 columns. If there is a 1 that means that the vertex on the left (you need to name them) has an arrow edge towards the vertex on the top. If there is a 2 that means there are two directed edges in the same direction going from the left vertex to the vertex on the top. If there is a 0 that means there are no edges from the vertex on the left to the top vertex.1221212122121110- Make sure to program the matrix in to your code. (5 point)- Output an example of each, make sure they are labeled. (5 * 6 outputs = 30 points)Example of a directed graph matrix from your book. The red numbers around the matrix are the vertices. If there is a 0 it means there is no edge from the vertex on the right to the vertex on the top.

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