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 \left \lfloor \frac{time[j]}{2} \right \rfloor minutes to finish reading the j-th book. Of course if LRJ has finished reading the j-th book, it will take him only \left \lfloor \frac{time[i]}{2} \right \rfloor 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 N(0\leq N \leq 100) and M(0\leq M \leq N\times (N-1)/2). N is the total number of books. M is the number of pairs which are similar.

Then the following N lines describe time[0],time[1],\cdots,time[n-1](1\leq time[i] \leq 10^{5}).

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.

posted @ 2013-05-15 20:07  Levi.duan  阅读(230)  评论(0编辑  收藏  举报