Connected Components


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Are all the components connected on the given Graph?

A graph is considered one connected component if every node is connected along a path with every other node.

The following graph is not one connected component, since the 1 and 4 cannot be reached from the 0,2,3 and 5.

Input Format
As in the original graph challenges, you will be given a graph in "adjacency-list" style.

The first line of input will contain T, the number of tests cases. T cases will follow, with each case consisting of multiple lines:

  • A number n on the first line, representing the number of Nodes.
  • n lines follow, with each line i representing the Nodes that are connected to Node i.

Challenge

Given a graph, print true if the graph is one connected component, and false otherwise.

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