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Squares and Cubes

1000ms 262144K

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:

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:

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

Sample Input:

6
10
1
25
1000000000
999999999
500000000

Sample Output:

4
1
6
32591
32590
23125

Informação

Codeforces

Provedor Codeforces

Código CF1619B

Tags

implementationmath

Submetido 0

BOUA! 0

Taxa de BOUA's 0%

Datas 09/05/2023 10:20:44

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