CF1619B Squares and Cubes

Description

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).

Input Format

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 $ ).

Output Format

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