Given an adjacency matrix (graph), the task is to find the shortest distance of all the vertex's from the source vertex. 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.

**Input:**

The first line of input contains an integer T denoting the no 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 V space separated values of the matrix (graph) .The third line of each test case contains an integer denoting the source vertex s.

**Output:**

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.

**Constraints:**

1<=T<=20

1<=V<=20

0<=s 1<=graph[][]<=1000

**Example:**

**Input**

2

2

0 25 25 0

0

3

0 1 43 1 0 6 43 6 0

2

**Output**

0 25

7 6 0

Author: Shubham Joshi 1

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