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Time Limit: 6000/2000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 4903    Accepted Submission(s): 1456


Problem Description
There are N (2<=N<=600) cities,each has a value of happiness,we consider two cities A and B whose value of happiness are VA and VB,if VA is a prime number,or VB is a prime number or (VA+VB) is a prime number,then they can be connected.What's more,the cost to connecte two cities is Min(Min(VA , VB),|VA-VB|).
Now we want to connecte all the cities together,and make the cost minimal.
 

Input
The first will contain a integer t,followed by t cases.
Each case begin with a integer N,then N integer Vi(0<=Vi<=1000000).
 

Output
If the all cities can be connected together,output the minimal cost,otherwise output "-1";
 

Sample Input
2 5 1 2 3 4 5 4 4 4 4 4
 

Sample Output
4 -1
 

Author
Teddy
 

Source
 

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