Preparando MOJI
One day, BThero decided to play around with arrays and came up with the following problem:
You are given an array $$$a$$$, which consists of $$$n$$$ positive integers. The array is numerated $$$1$$$ through $$$n$$$. You execute the following procedure exactly once:
Find and print the minimum possible value of $$$|b|$$$ (size of $$$b$$$) which can be achieved at the end of the procedure. It can be shown that under the given constraints there is at least one way to construct $$$b$$$.
The first line of the input file contains a single integer $$$T$$$ ($$$1 \le T \le 5 \cdot 10^5$$$) denoting the number of test cases. The description of $$$T$$$ test cases follows.
The first line of each test contains a single integer $$$n$$$ ($$$1 \le n \le 5 \cdot 10^5$$$).
The second line contains $$$n$$$ space-separated integers $$$a_1$$$, $$$a_2$$$, ..., $$$a_n$$$ ($$$2 \le a_i \le 10^9$$$).
It is guaranteed that $$$\sum{n}$$$ over all test cases does not exceed $$$5 \cdot 10^5$$$.
For each test case, print a single line containing one integer — the minimum possible value of $$$|b|$$$.
3 3 6 8 2 1 4 3 5 6 6
3 1 2