Score : 200 points
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 is given from Standard Input in the following format:
X
Print the number of years it takes for Takahashi's balance to reach X yen or above for the first time.
103
3
Thus, it takes three years for the balance to reach 103 yen or above.
1000000000000000000
3760
1333333333
1706