Problem 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.

1
4

1
2