SZU:B36 Reading books

Description

In the summer vacation, LRJ wants to improve himself in computer science. So he finds out N books of computer science in the school library. The books are numbered from 0 to N-1.

To finish reading the i-th book, it takes LRJ time[i] minutes. But some books are similar in the content. If the i-th book and the j-th book are similar, then if LRJ has finished reading the i-th book, it will take him only  minutes to finish reading the j-th book. Of course if LRJ has finished reading the j-th book, it will take him only  minutes to finish reading the i-th book. Now you are asked to tell LRJ the minimal total time to finish reading all the N books.

Input

The first line contains two integers  and . N is the total number of books. M is the number of pairs which are similar.

Then the following N lines describe .

Next comes M lines, each contains two integer (i,j), indicating that the i-th book and the j-th book are similar.

Input is ended with EOF.

Output

For each test case, just output the minimal total time on a single line.

Sample Input

2 1

6

10

0 1

3 2

1

2

3

0 1

1 2

3 1

2

4

6

0 1

Sample Output

11

3

10

 Hint:For the first test case, if LRJ read the books in the order (0, 1), then the total time = 6+10/2=11; If in the order (1, 0), then the total time =10+ 6/2=13.

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