Squares and Cubes

题意翻译

求 $n$ 以内有多少个完全平方数或完全立方数。

题目描述

Polycarp likes squares and cubes of positive integers. Here is the beginning of the sequence of numbers he likes: $ 1 $ , $ 4 $ , $ 8 $ , $ 9 $ , .... For a given number $ n $ , count the number of integers from $ 1 $ to $ n $ that Polycarp likes. In other words, find the number of such $ x $ that $ x $ is a square of a positive integer number or a cube of a positive integer number (or both a square and a cube simultaneously).

输入输出格式

输入格式

The first line contains an integer $ t $ ( $ 1 \le t \le 20 $ ) — the number of test cases. Then $ t $ lines contain the test cases, one per line. Each of the lines contains one integer $ n $ ( $ 1 \le n \le 10^9 $ ).

输出格式

For each test case, print the answer you are looking for — the number of integers from $ 1 $ to $ n $ that Polycarp likes.

输入输出样例

输入样例 #1

6
10
1
25
1000000000
999999999
500000000

输出样例 #1

4
1
6
32591
32590
23125