# A Math Problem

Time Limit: 2000/1000 MS (Java/Others)

Memory Limit: 32768/32768 K (Java/Others)

## Description

You are given a positive integer n, please count how many positive integers k satisfy $k^k \leq n$.

## Input

There are no more than 50 test cases.

Each case only contains a positivse integer n in a line.

$1 \leq n \leq 10^{18}$

## Output

For each test case, output an integer indicates the number of positive integers k satisfy $k^k \leq n$ in a line.

## Sample Input

1
4

## Sample Output

1
2

liuyiding

## Source

2017ACM/ICPC广西邀请赛-重现赛（感谢广西大学）