Rounding versus Formatting

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

Given real $x$ and integer $k$, print the result of Python round(x, k) on the first line using normal float representation; print $x$ with exactly $k$ decimal places on the second.

Input

One line contains real $x$ and integer $k$.

Output

Line 1 is Python float round(x, k); line 2 uses the dynamic fixed-precision format.

Subtask

• Subtask 1 — 100 points: $-1000\le x\le1000$, $x$ is a multiple of $1/4$; $0\le k\le3$.

Example

Input

2.5 2

Output

2.5
2.50

Explanation

round(2.5,2) is the float 2.5; fixed precision prints 2.50 on the second line.