Signed Zero-Padded Integer

Version: Phuoc Hung OJ Extended

Problem Statement

Given integer $n$, output its decimal representation in a field of minimum width $8$, under these rules:

• Always include + for a nonnegative number or - for a negative number.
• Insert padding zero digits immediately after the sign and before the absolute value.
• The total width includes the sign. Preserve all characters if the representation is already longer than $8$.

For example, $12$ is formatted as +0000012.

Input

One line contains integer $n$.

Output

Print the signed, zero-padded decimal representation of $n$ on one line without spaces.

Subtasks

• Subtask 1 (100 points): $-99999999\le n\le99999999$.

Examples

Example 1

Input

12

Output

+0000012

Explanation. 12 uses two digits, plus its sign: three characters. Add five zeros after +.

Example 2

Input

-5

Output

-0000005

Explanation. -5 uses sign and one digit; insert six zeros between them.

Example 3

Input

12345678

Output

+12345678

Explanation. +12345678 has nine characters, exceeding minimum width eight, so it is unchanged.