Value after N Growth Periods

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

Given initial value $P$, growth rate $r$ percent per period and nonnegative periods $n$, compute $P(1+r/100)^n$ and print two decimals without intermediate rounding.

Input

One line containing $P,r,n$ in order.

Output

One line showing the final value with exactly two decimal digits.

Subtask

• Subtask 1 — 100 points: $P$ is a multiple of 4 from 0 to 40000; $r$ belongs to {0,25,50,100}; $n$ is 0–4.

Example

Input

100 25 2

Output

156.25

Explanation

Each period multiplies by 1.25, so two periods give 100 * 1.25 * 1.25 = 156.25.