Problems
Squares and Cubes
Squares and Cubes
Let's write out in a row the squares and cubes of positive integers: 1, 4, 8, 9, ....
For the given value of n, count the number of written numbers from 1 to n. In other words, find the number of such x that x is a square or a cube of a positive integer (or both a square and a cube simultaneously).
Input data
The first line contains the number of test cases t.
Each of the next t lines contains one positive integer n~(1 \le n \le 10^9).
Output data
For each test print the answer — the number of integers from 1 to n that belong to the list.
Examples
Input example #1
5 1 10 25 1000000 987654321
Output example #1
1 4 6 1090 32390