Compound Interest for a Savings Record

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

An initial deposit $P$ earns a fixed interest rate of $r$ percent per year. At the end of each year, the earned interest is added to the balance; the updated balance earns interest in the following year. There are no other deposits or withdrawals. Given $n$ years, compute the balance after exactly $n$ years. If $n=0$, the balance is $P$. Round only the final printed result, not intermediate yearly balances.

Input

One line contains real values $P$ and $r$, followed by an integer $n$, in that order. $P$ is the principal, $r$ is the annual percentage rate, and $n$ is the number of years.

Output

Print the balance after $n$ years on one line, using exactly two digits after the decimal point. Do not print a currency symbol or an input prompt.

Subtasks

• Subtask 1 (20%): $0<P\le10^6,\ 0\le r\le10,\ 0\le n\le2$.
• Subtask 2 (30%): $0<P\le10^6,\ 0\le r\le50,\ 0\le n\le20$.
• Subtask 3 (50%): $0<P\le10^6,\ 0\le r\le100,\ 0\le n\le100$.

Examples

Example 1

Input:

1000 10 2

Output:

1210.00

Explanation: The first year adds 1000 × 10/100 = 100, leaving 1100. The second adds 1100 × 10/100 = 110, leaving 1210. Print 1210.00.

Example 2

Input:

735.25 0 100

Output:

735.25

Explanation: The interest rate is zero, so the balance stays 735.25 through all 100 years.

Example 3

Input:

250.50 12.5 0

Output:

250.50

Explanation: No year elapses, so no interest is applied and the initial 250.50 is printed.