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.