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Bitotsav is having a coloring contest. You are given n number of boxes arranged in a straight line. You need to paint them Red, Green and Blue.No two adjacent boxes will be painted the same color.The adjacent boxes of box i are boxes i-1 and i+1. The first and last boxes are not adjacent.

Given the prices for painting each box, you need to find the minimum total cost required to perform the work.

Input

The first line contains the number of test cases( 1<=T<=105 ).
For every test case the first line contains the number of boxes(n).
n lines follow.ith line contains the prices for painting the ith box R,G,B respectively separated by a blank space.

1<=n<=30
1<=R,G,B<=1000

Output

For every test case print the minimum total cost required to perform the work on a separate line.

Sample Input


4
3
1 100 100
100 1 100
100 100 1

3
1 100 100
100 100 100
1 100 100

3
26 40 83
49 60 57
13 89 99

6
30 19 5
64 77 64
15 19 97
4 71 57
90 86 84
93 32 91


Sample Output


3
102
96
208


Problem Setter: Rounak Tibrewal

Languages: C,C++,C#,Java,JavaScript,Pascal,Perl,PHP,Python,Ruby

Time Limit: 1 Second(s)
Score: 100 Point(s)
Input File Limit: 50000 Bytes

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