Dynamic Decimal Precision

Version: Phuoc Hung OJ Extended

Problem Statement

Given a real number $x$ and an integer $k$, print $x$ in fixed-point notation with exactly $k$ digits after the decimal point. When $k=0$, print no decimal point.

Input

The only line contains a real number $x$ and integer $k$, separated by whitespace.

Output

Print $x$ with exactly $k$ decimal places; omit the decimal point when $k=0$.

Subtasks

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

Examples

Example 1

Input

3.1415926 4

Output

3.1416

Explanation. For input 3.1415926 4, applying .4f formatting produces exactly 3.1416 (including any trailing zeros, separators or exponent characters).

Example 2

Input

12.5 0

Output

12

Explanation. For input 12.5 0, applying .0f formatting produces exactly 12 (including any trailing zeros, separators or exponent characters).

Example 3

Input

-0.00456 5

Output

-0.00456

Explanation. For input -0.00456 5, applying .5f formatting produces exactly -0.00456 (including any trailing zeros, separators or exponent characters).