Examples:

```
Input: A[] = {1, 2, 3, 4, 5, 6, 7, 8}
Output: 6
6 is sum of output subsequence {1, 5}
Following 4 length subarrays are possible
(1, 2, 3, 4), (2, 3, 4, 5), (3, 4, 5, 6),
(4, 5, 6, 7), (5, 6, 7, 8)
Here, Our subsequence {1, 5} has an element from all
above groups of four consecutive elements.
```

```
Input : A[] = {1, 2, 3, 3, 4, 5, 6, 1}
Output : 4
The subsequence is {3, 1}. Here we consider
second three.
```

**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 two lines. The first line of each test case contains an integer N. Then in the next line are N space separated values of the array A[].

**Output:**

For each test case in a new line output will be the min sum of such subsequence .

**Constraints:**

1<=T<=100

1<=N<=50

1<=A[]<=1000

**Example(To be used only for expected output):
Input:**

2

8

1 2 3 4 5 6 7 8

8

1 2 3 3 4 5 6 1

6

4

All Is Well | 176 |

Srinivas Chakravarth | 142 |

ioan | 131 |

praveen2809 | 116 |

Diplav Srivastava | 105 |

Lam Ngoc Pham | 405 |

All Is Well | 365 |

Divvya Sinha | 356 |

skull tone | 310 |

Prateek Gole | 309 |

akhayrutdinov | 3805 |

sanjay05 | 3366 |

Michael Riegger | 2014 |

Jasleen Kaur 2 | 2012 |

Quandray | 1933 |