Chisa Yukizome works as a teacher in the school. She prepares many gifts, which consist of $n$ kinds with $a[i]$ quantities of each kind, for her students and wants to hold a class meeting. Because of the busy work, she gives her gifts to the monitor, Chiaki Nanami. Due to the strange design of the school, the students' desks are in a row. Chiaki Nanami wants to arrange gifts like this:

1. Each table will be prepared for a mysterious gift and an ordinary gift.

2. In order to reflect the Chisa Yukizome's generosity, the kinds of the ordinary gift on the adjacent table must be different.

3. There are no limits for the mysterious gift.

4. The gift must be placed continuously.

She wants to know how many students can get gifts in accordance with her idea at most (Suppose the number of students are infinite). As the most important people of her, you are easy to solve it, aren't you?

1. Each table will be prepared for a mysterious gift and an ordinary gift.

2. In order to reflect the Chisa Yukizome's generosity, the kinds of the ordinary gift on the adjacent table must be different.

3. There are no limits for the mysterious gift.

4. The gift must be placed continuously.

She wants to know how many students can get gifts in accordance with her idea at most (Suppose the number of students are infinite). As the most important people of her, you are easy to solve it, aren't you?

The first line of input contains an integer $T (T\leq 10)$ indicating the number of test cases.

Each case contains one integer $n$. The next line contains $n$ $(1 \leq n \leq 10)$ numbers: $a_1, a_2,..., a_n$, $(1 \leq a_i \leq 100000)$.

Each case contains one integer $n$. The next line contains $n$ $(1 \leq n \leq 10)$ numbers: $a_1, a_2,..., a_n$, $(1 \leq a_i \leq 100000)$.

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