UVa 11396 - Claw Decomposition

Summary
Read the problem 2 to 3 times unless you understand that that it is a problem related to bipartite graph. Hint: try to imagine center node of claw to be of one color and remaining three of the other.

Explanation
Now all that is left to check is whether or not it is a bipartite graph. If it is print "YES" otherwise "NO".

Gotchas

 * Do not check for the conditions such as (number of vertices)%3==0
 * There is a blank line in between any two lines of input. But not the case for output.

Implementations

 * If anyone needs java implementation.
 * http://ideone.com/1mIRcI

Input
4

1 2

1 3

1 4

2 3

2 4

3 4

0 0

6

1 2

1 3

1 6

2 3

2 5

3 4

4 5

4 6

5 6

0 0

5

1 2

1 4

1 3

1 5

0 0

4

1 2

1 4

1 3

0 0

0

Output
NO NO YES YES