B. Binary notation
time limit per test
3 seconds
memory limit per test
256 megabytes
input
stdin
output
stdout

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

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).

Examples
Input
5
Output
101
Input
126
Output
1111110
Note

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