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Travelling Salesman Problem

Given a matrix M of size N where M[i][j] denotes the cost of moving from city i to city j. Your task is to complete a tour from the city 0 (0 based index) to all other cities such that you visit each city atmost once and then at the end come back to city 0 in min cost.

Input:
The first line of input contains an integer T denoting the no of test cases. Then T test cases follow. Each test case contains an integer N denoting the size of the matrix then in the next line are N*N space separated values of the matrix M.
 
Output:
For each test case print the required result denoting the min cost of the tour in a new line.

Constraints:
1<=T<=15
1<=N<=12
1<=M[][]<=10000

Example:
Input:

2
2
0 111 112 0
3
0 1000 5000 5000 0 1000 1000  5000  0
Output:
223
3000

**For More Examples Use Expected Output**


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Result:
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