CF1619B.Squares and Cubes

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).

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 $n$ ( $1 \le n \le 10^9$ ).

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