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?

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.

Constraints

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

Sample Input 1

103

Sample Output 1

3

• The balance after one year is 101 yen.
• The balance after two years is 102 yen.
• The balance after three years is 103 yen.

Thus, it takes three years for the balance to reach 103 yen or above.

Sample Input 2

1000000000000000000

Sample Output 2

3760

Sample Input 3

1333333333

Sample Output 3

1706

见题面 Input 部分

见题面 Output 部分