Given a graph of V nodes represented in the form of adjacency matrix. The task is to find the shortest distance of all the vertex's from the source vertex.

The first line of input contains an integer T denoting the number of test cases . Then T test cases follow .The first line of each test case contains an integer V denoting the size of the adjacency matrix  and in the next line are 2*V space separated values, which denotes the weight of an edge of the matrix (graph). The third line of each test case contains an integer denoting the source vertex s.

For each test case output will be V space separated integers where the ith integer denote the shortest distance of ith vertex from source vertex.

You task:
You are required to complete the function dijkstra() which takes 3 arguments. The first argument is the adjacency matrix (graph), the second argument is the source vertex s and the third argument is V denoting the size of the matrix. The function prints  V space separated integers where i'th integer denotes the shortest distance of the i'th vertex from source vertex.

1 <= T <= 20 
1 <= V <= 20
0 <= graph[i][j] <= 1000
0 <= s

0 25 25 0
0 1 43 1 0 6 43 6 0

0 25
7 6 0

Testcase 1:
Shortest distance of source node 0 to 1 is 25, and shortest distance of source to source is 0.


** For More Input/Output Examples Use 'Expected Output' option **

Contributor: Harshit Sidhwa
Author: Shubham Joshi 1

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