Total Submission(s): 12 Accepted Submission(s): 2

Problem Description

You may all know the famous story ˇ°Three monksˇ±. Recently they find some places around their temples can been used to dig some wells. It will help them save a lot of time. But to dig the well or build the road to transport the water will cost money. They do not want to cost too much money. Now they want you to find a cheapest plan.

Input

There are several test cases.

Each test case will starts with three numbers n , m, and p in one line, n stands for the number of monks and m stands for the number of places that can been used, p stands for the number of roads between these places. The places the monks stay is signed from 1 to n then the other m places are signed as n + 1 to n + m. (1 <= n <= 5, 0 <= m <= 1000, 0 <=p <= 5000)

Then n + m numbers followed which stands for the value of digging a well in the ith place.

Then p lines followed. Each line will contains three numbers a, b, and c. means build a road between a and b will cost c.

Each test case will starts with three numbers n , m, and p in one line, n stands for the number of monks and m stands for the number of places that can been used, p stands for the number of roads between these places. The places the monks stay is signed from 1 to n then the other m places are signed as n + 1 to n + m. (1 <= n <= 5, 0 <= m <= 1000, 0 <=p <= 5000)

Then n + m numbers followed which stands for the value of digging a well in the ith place.

Then p lines followed. Each line will contains three numbers a, b, and c. means build a road between a and b will cost c.

Output

For each case, output the minimum result you can get in one line.

Sample Input

3 1 3 1 2 3 4 1 4 2 2 4 2 3 4 4 4 1 4 5 5 5 5 1 1 5 1 2 5 1 3 5 1 4 5 1

Sample Output

6 5

Author

dandelion