A16184. Increasing Sequence

You are given a sequence $a_{1}, a_{2}, \ldots, a_{n}$ . A sequence $b_{1}, b_{2}, \ldots, b_{n}$ is called good, if it satisfies all of the following conditions:

- $b_{i}$ is a positive integer for $i = 1, 2, \ldots, n$ ;
- $b_{i} \neq a_{i}$ for $i = 1, 2, \ldots, n$ ;
- $b_{1} < b_{2} < \ldots < b_{n}$ .

Find the minimum value of $b_{n}$ among all good sequences $b_{1}, b_{2}, \ldots, b_{n}$ .

Each test contains multiple test cases. The first line contains the number of test cases $t$ ( $1 \le t \le 100$ ). The description of the test cases follows.

The first line of each test case contains a single integer $n$ ( $1 \le n \le 100$ ).

The second line of each test case contains $n$ integers $a_1, a_2, \ldots, a_n$ ( $1 \le a_i \le 10^{9}$ ).

For each test case, print a single integer — the minimum value of $b_{n}$ among all good sequences $b$ .

In the first test case, $b = [2, 4, 5, 7, 8]$ is a good sequence. It can be proved that there is no good $b$ with $b_{5} < 8$ .

In the second test case, $b = [1, 2, 3, 4]$ is an optimal good sequence.

In the third test case, $b = [2]$ is an optimal good sequence.