13881388 SUSTech Online Judge
Problem 1388 --Cycles are Bad

## 1388: Cycles are Bad

Time Limit: 1 Sec  Memory Limit: 128 MB
Submit: 1162  Solved: 225
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## Description

Given a graph with $$n$$ nodes and $$m$$ edges, we define cycles as paths which start from and end at the same point (no matter how many nodes are there in the path. Single/double node(s) is also OK.) 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?

## Input

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 $$[1,n]$$.

## Output

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

## Sample Input

3 3
1 2
2 3
1 3

## Sample Output

Bad

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