CF1426C.Increase and Copy

普及/提高-

通过率:0%

AC君温馨提醒

该题目为【codeforces】题库的题目,您提交的代码将被提交至codeforces进行远程评测,并由ACGO抓取测评结果后进行展示。由于远程测评的测评机由其他平台提供,我们无法保证该服务的稳定性,若提交后无反应,请等待一段时间后再进行重试。

题目描述

Initially, you have the array aa consisting of one element 11 ( a=[1]a = [1] ).

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

  • Increase some (single) element of aa by 11 (choose some ii from 11 to the current length of aa and increase aia_i by one);
  • Append the copy of some (single) element of aa to the end of the array (choose some ii from 11 to the current length of aa and append aia_i to the end of the array).

For example, consider the sequence of five moves:

  1. You take the first element a1a_1 , append its copy to the end of the array and get a=[1,1]a = [1, 1] .
  2. You take the first element a1a_1 , increase it by 11 and get a=[2,1]a = [2, 1] .
  3. You take the second element a2a_2 , append its copy to the end of the array and get a=[2,1,1]a = [2, 1, 1] .
  4. You take the first element a1a_1 , append its copy to the end of the array and get a=[2,1,1,2]a = [2, 1, 1, 2] .
  5. You take the fourth element a4a_4 , increase it by 11 and get a=[2,1,1,3]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 nn .

You have to answer tt independent test cases.

输入格式

The first line of the input contains one integer tt ( 1t10001 \le t \le 1000 ) — the number of test cases. Then tt test cases follow.

The only line of the test case contains one integer nn ( 1n1091 \le n \le 10^9 ) — the lower bound on the sum of the array.

输出格式

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

输入输出样例

  • 输入#1

    5
    1
    5
    42
    1337
    1000000000

    输出#1

    0
    3
    11
    72
    63244
首页