Given an array of positive numbers, find the maximum sum of a subsequence with the constraint that no 2 numbers in the sequence should be adjacent in the array. So 3 2 7 10 should return 13 (sum of 3 and 10) or 3 2 5 10 7 should return 15 (sum of 3, 5 and 7).

**Input:**

The first line of input contains an integer T denoting the number of test cases.

The first line of each test case is N,N is the size of array.

The second line of each test case contains N input C[i].

**Output:**

Print the maximum sum of a subsequence.

**Constraints:**

1 ≤ T ≤ 80

1 ≤ N ≤ 100

1 ≤ C[i] ≤ 500

**Example:**

**Input:**

2

6

5 5 10 100 10 5

4

3 2 7 10

**Output:**

110

13

#### **For More Examples Use Expected Output**