At the peak of the Global Economic Crisis BerBank offered an unprecedented credit program. The offering was so attractive that Vitaly decided to try it. He took a loan of s burles for m months with the interest rate of p percent.

Vitaly has to follow the scheme of annuity payments, meaning that he should make fixed monthly payments — x burles per month. Obviously, at the end of the period he will pay m · x burles to the bank in total.

Each of the monthly payments is divided by BerBank into two parts as follows:

• The first part a_i is used to pay off the percent p of the current debt. It's clear that a_i=s' · p / 100 where s'=s for the first month and equals to the remaining debt for each of the subsequent months.
• The second part b_i is used to pay off the current debt. The sum of all b_i over the payment period is equal to s, meaning that the borrower needs to pay off the debt completely by decreasing it from s to 0 in m months.

BerBank uses calculations with floating-point numbers, and the value of x is uniquely determined by s,m and p.

For example, if s=100, m=2, p=50 then x=90. For the first month a₁ = s' · p / 100 = s · p / 100 = 50 and b₁ = 90 - 50 = 40. For the second month a₂ = (100-40) · 50 / 100 = 30, so b₂ = 90 - 30 = 60 and the debt is paid off completely.

Your task is to help Vitaly and write a program that computes x given the values of s,m and p.

The single line of the input contains three integers s, m and p (1 ≤ s ≤ 10⁶, 1 ≤ m ≤ 120, 0 ≤ p ≤ 100).

Output the single value of monthly payment x in burles. An absolute error of up to 10^-5 is allowed.

sample input	sample output
100 2 50	90.00000