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Necklace

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 327680/327680 K (Java/Others)
Total Submission(s): 1505    Accepted Submission(s): 543


Problem Description
One day , Partychen gets several beads , he wants to make these beads a necklace . But not every beads can link to each other, every bead should link to some particular bead(s). Now , Partychen wants to know how many kinds of necklace he can make.
 

Input
It consists of multi-case .
Every case start with two integers N,M ( 1<=N<=18,M<=N*N )
The followed M lines contains two integers a,b ( 1<=a,b<=N ) which means the ath bead and the bth bead are able to be linked.
 

Output
An integer , which means the number of kinds that the necklace could be.
 

Sample Input
3 3 1 2 1 3 2 3
 

Sample Output
2
 

Source
 

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