Given three numbers $$$n, a, b$$$. You need to find an adjacency matrix of such an undirected graph that the number of components in it is equal to $$$a$$$, and the number of components in its complement is $$$b$$$. The matrix must be symmetric, and all digits on the main diagonal must be zeroes.

In an undirected graph loops (edges from a vertex to itself) are not allowed. It can be at most one edge between a pair of vertices.

The adjacency matrix of an undirected graph is a square matrix of size $$$n$$$ consisting only of "0" and "1", where $$$n$$$ is the number of vertices of the graph and the $$$i$$$-th row and the $$$i$$$-th column correspond to the $$$i$$$-th vertex of the graph. The cell $$$(i,j)$$$ of the adjacency matrix contains $$$1$$$ if and only if the $$$i$$$-th and $$$j$$$-th vertices in the graph are connected by an edge.

A connected component is a set of vertices $$$X$$$ such that for every two vertices from this set there exists at least one path in the graph connecting this pair of vertices, but adding any other vertex to $$$X$$$ violates this rule.

The complement or inverse of a graph $$$G$$$ is a graph $$$H$$$ on the same vertices such that two distinct vertices of $$$H$$$ are adjacent if and only if they are not adjacent in $$$G$$$.