EZDIJKST - Easy Dijkstra Problem

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Determine the shortest path between the specified vertices in the graph given in the input data.
Hint: You can use Dijkstra's algorithm.
Hint 2: if you're a lazy C++ programmer, you can use set and cin/cout (with sync_with_stdio(0)) - it should suffice.

Input

first line - one integer - number of test cases
For each test case the numbers V, K (number of vertices, number of edges) are given,
Then K lines follow, each containing the following numbers separated by a single space:
ai, bi, ci
It means that the graph being described contains an edge from ai to bi,
with a weight of ci.
Below the graph description a line containing a pair of integers A, B is present.
The goal is to find the shortest path from vertex A to vertex B.
All numbers in the input data are integers in the range 0..10000.

Output

For each test case your program should output (in a separate line) a single number C - the length of the shortest path from vertex A to vertex B. In case there is no such path, your program should output a single word "NO" (without quotes)

Example

Input:
3
3 2
1 2 5
2 3 7
1 3
3 3
1 2 4
1 3 7
2 3 1
1 3
3 1
1 2 4
1 3

Output:
12
5
NO

hide comments
Shubham: 2015-06-10 22:24:02

thanks to STL in c++...:)

RAHUL: 2015-05-25 16:19:35

my god this is directed

lovecode: 2015-01-31 07:24:03

i was taking undirected graph this cause me 1 WA......PROBLEM SETTER plz mention this in question

Shaurya Chaturvedi: 2015-01-06 15:20:16

Thanks @tranquil, got WA: I used undirected. :P

shiva: 2014-12-13 20:54:55

http://ideone.com/JN0y7j
getting SIGKILL runtime error..dont know why..

yagyank: 2014-11-28 06:00:03

Breaking on loop from target node does not cost wa :)

Neeraj : 2014-09-29 22:04:07

Breaking from loop on finding target node costed me 4 WA's. Print result after all the distances are calculated. Still dont know the reason why ?

Luv Karakoti: 2014-07-17 21:11:03

A small mistake and SIGABRT for some 2 days :D Feeling so lucky after solving this question

fanatique: 2014-07-11 18:39:32

Last edit: 2014-07-11 18:44:36
anil: 2014-07-04 08:50:06

pls check sigkill error my sub id 11885287


Added by:Robert Rychcicki
Date:2009-01-10
Time limit:0.150s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ERL JS-RHINO NODEJS OBJC PERL6 VB.NET