Compound Interest

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

Given principal $P$, per-period interest rate $r$ percent, and periods $n$, calculate $P(1+r/100)^n$ with two fractional digits. This PHOJ edition uses principals divisible by 100 and one of three fixed interest rates.

Input

One line with integers $P,r,n$.

Output

Print the final balance with exactly two fractional digits.

Subtask

• Subtask 1 — 100 points: $100\le P\le10^6$, $P$ divisible by $100$; $r\in\{0,10,20\}$; $0\le n\le10$.

Example

Input

1000 10 2

Output

1210.00

Explanation

The per-period multiplier is $1.1$; after two periods the value is $1000\times1.1^2=1210$, printed as 1210.00.