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EIBANKLOAN2 - Bank Loan 1

Mr. Huy wants to buy a new house worth X VND, so he decided to take out a bank loan with an interest rate of r% per year. He calculates that he could pay a maximum of Y VND per month (includes principal and interest). How long would he pay off his loan?

Input

The only line contains 2 integers X, Y and a real number r (0 < X, Y < 1012, 0 < r ≤ 100).

Output

A number indicating which month he pays off his loan.

Sample

Input

Output

1000000000 100000000 6

11

500000000 100000000 6.2

6


Added by:Ha Minh Ngoc
Date:2022-12-25
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
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