A13807 | Increase and Copy

Initially, you have the array $a$ consisting of one element $1$ ( $a = [1]$ ).

In one move, you can do one of the following things:

- Increase some (single) element of $a$ by $1$ (choose some $i$ from $1$ to the current length of $a$ and increase $a_i$ by one);
- Append the copy of some (single) element of $a$ to the end of the array (choose some $i$ from $1$ to the current length of $a$ and append $a_i$ to the end of the array).

For example, consider the sequence of five moves:

1. You take the first element $a_1$ , append its copy to the end of the array and get $a = [1, 1]$ .
2. You take the first element $a_1$ , increase it by $1$ and get $a = [2, 1]$ .
3. You take the second element $a_2$ , append its copy to the end of the array and get $a = [2, 1, 1]$ .
4. You take the first element $a_1$ , append its copy to the end of the array and get $a = [2, 1, 1, 2]$ .
5. You take the fourth element $a_4$ , increase it by $1$ and get $a = [2, 1, 1, 3]$ .

Your task is to find the minimum number of moves required to obtain the array with the sum at least $n$ .

You have to answer $t$ independent test cases.

The first line of the input contains one integer $t$ ( $1 \le t \le 1000$ ) — the number of test cases. Then $t$ test cases follow.

The only line of the test case contains one integer $n$ ( $1 \le n \le 10^9$ ) — the lower bound on the sum of the array.

For each test case, print the answer: the minimum number of moves required to obtain the array with the sum at least $n$ .