Tax Amount from a Rate

Version: Phuoc Hung OJ Extended

Problem Statement

Given an amount before tax $amount$ and a decimal tax rate $rate$ (for example, $0.1$ means $10\%$), compute the tax amount only: $T=amount\cdot rate$. Print exactly 2 decimal places; do not add the tax to the original amount.

Input

The only line contains real values $amount$ (pre-tax amount) and $rate$ (decimal tax rate).

Output

Print the tax amount $T$, not the tax-inclusive total, with exactly 2 decimal places.

Subtasks

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

Examples

Example 1

Input

100 0.1

Output

10.00

Explanation. Substituting 100, 0.1 into amount × rate gives approximately 10. The required output formatting produces 10.00.

Example 2

Input

1234.56 0.075

Output

92.59

Explanation. Substituting 1234.56, 0.075 into amount × rate gives approximately 92.592. The required output formatting produces 92.59.

Example 3

Input

0 0.2

Output

0.00

Explanation. Substituting 0, 0.2 into amount × rate gives approximately 0. The required output formatting produces 0.00.