Round to k Decimal Places

Version: Phuoc Hung OJ Extended

Problem Statement

Given a real number $x$ and an integer $k$, compute Python 3 round(x, k) on the parsed float. Print the resulting number with Python’s default float representation; do not pad with trailing zeros to reach $k$ decimal places.

Input

The only line contains a real number $x$ and integer $k$.

Output

Print the float returned by round(x, k) using the default Python 3 display.

Subtasks

• Subtask 1 (100 points): $|x|\le10^{12}$; $0\le k\le10$.

Examples

Example 1

Input

3.14159 3

Output

3.142

Explanation. For input 3.14159 3, round(x, 3) produces 3.142. The float is printed using its default representation, without padding trailing zeros.

Example 2

Input

12.5 4

Output

12.5

Explanation. For input 12.5 4, round(x, 4) produces 12.5. The float is printed using its default representation, without padding trailing zeros.

Example 3

Input

-2.675 2

Output

-2.67

Explanation. For input -2.675 2, round(x, 2) produces -2.67. The float is printed using its default representation, without padding trailing zeros.