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:

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

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

ns = {"__name__": "__main__"}
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = 'import math\n# x increases: x + ceil(n/(x+1)) - 1\n\n\nt = int(input())\n\nfor _ in range(t):\n    n = int(input())\n    \n    s = int(n**0.5)\n    \n    cands = list(range(max(0, s-100), s+100))\n    \n    ans = min(x+math.ceil(n/(x+1))-1 for x in cands)\n    print(ans)\n    \n    \n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 14612