#P188F. Binary Notation

Binary Notation

Description

You are given a positive integer n. Output its binary notation.

The only line of input data contains an integer n (1 ≤ n ≤ 106).

Output the binary notation of n (without any leading zeros).

Input

The only line of input data contains an integer n (1 ≤ n ≤ 106).

Output

Output the binary notation of n (without any leading zeros).

Samples

5

101

101

1100101

Note

In the first example 5 = 1 * 22 + 0 * 21 + 1 * 20.