Given a graph with \(n\) nodes and \(m\) edges, we define cycles as paths which start from and end at the same point. One day, a student thinks that graphs with cycles are very "bad" and graphs without cycles are really "good". But he does not know how to distinguish them. Can you help him?

Line 1: Two integers \(n(1\le n\le 10^5)\) and \(m(1\le m\le 10^5)\), which means the graph has \(n\) nodes and \(m\) edges.

There are \(m\) lines following:

Line 2~(m+1): Two integers \(u\), \(v\) which means there is an undirected edge between node \(u\) and node \(v\). Node indices are integers in range \([1,n]\).

Print whether the given graph is bad or not. Use "Bad" to indicate that the graph is bad and "Good" otherwise.