Problem Statement

Takahashi has a deposit of $100$ yen (the currency of Japan) in AtCoder Bank.

The bank pays an annual interest rate of $1$ % compounded annually. (A fraction of less than one yen is discarded.)

Assuming that nothing other than the interest affects Takahashi's balance, in how many years does the balance reach $X$ yen or above for the first time?

Constraints

• $101 \le X \le 10^{18}$
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

X

Output

Print the number of years it takes for Takahashi's balance to reach $X$ yen or above for the first time.