Price after Discount

Version: Phuoc Hung OJ Extended

Problem Statement

An item has original price $price$ and a decimal discount rate $rate$ (for example, $0.2$ means a $20\%$ discount). Its final price is $F=price(1-rate)$. Print the price payable after discount with exactly 2 decimal places.

Input

The only line contains real values $price$ (original price) and $rate$ (decimal discount rate).

Output

Print the price after discount $F$ with exactly 2 decimal places.

Subtasks

• Subtask 1 (100 points): $price\ge0$; $0\le rate\le1$.

Examples

Example 1

Input

100 0.2

Output

80.00

Explanation. Substituting 100, 0.2 into price × (1-rate) gives approximately 80. The required output formatting produces 80.00.

Example 2

Input

19.99 0.15

Output

16.99

Explanation. Substituting 19.99, 0.15 into price × (1-rate) gives approximately 16.9915. The required output formatting produces 16.99.

Example 3

Input

0 0.5

Output

0.00

Explanation. Substituting 0, 0.5 into price × (1-rate) gives approximately 0. The required output formatting produces 0.00.