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C. Increase and Copy
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

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.

Input

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.

Output

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

Example
Input
5
1
5
42
1337
1000000000
Output
0
3
11
72
63244