Simple Interest with Final Formatting

Version: Phuoc Hung OJ Extended

Problem Statement

An initial principal $P$ earns simple interest at rate $r$ per period for $t$ periods. Every period’s interest is calculated on the original principal, not on accumulated interest. The final amount is $A=P(1+rt)$. Print $A$ with exactly 2 decimal places.

Input

The only line contains three real values $P$, $r$, $t$: principal, rate per period and number of periods.

Output

Print the amount $A$ after $t$ periods with exactly 2 decimal places.

Subtasks

• Subtask 1 (100 points): $0\le P\le10^{12}$; $0\le r\le1$; $0\le t\le100$.

Examples

Example 1

Input

1000 0.05 2

Output

1100.00

Explanation. Substituting 1000, 0.05, 2 into P × (1 + r × t) gives approximately 1100. The required output formatting produces 1100.00.

Example 2

Input

1234.56 0.0375 3

Output

1373.45

Explanation. Substituting 1234.56, 0.0375, 3 into P × (1 + r × t) gives approximately 1373.448. The required output formatting produces 1373.45.

Example 3

Input

0 0.1 10

Output

0.00

Explanation. Substituting 0, 0.1, 10 into P × (1 + r × t) gives approximately 0. The required output formatting produces 0.00.