Package for this problem was not updated by the problem writer or Codeforces administration after we’ve upgraded the judging servers. To adjust the time limit constraint, solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then value 800 ms will be displayed and used to determine the verdict.

The following languages are only available languages for the problems from the contest

Surprise Language Round #6:

- Roco

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F. Binary Notation

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou are given a positive integer *n*. Output its binary notation.

Input

The only line of input data contains an integer *n* (1 ≤ *n* ≤ 10^{6}).

Output

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

Examples

Input

5

Output

101

Input

101

Output

1100101

Note

In the first example 5 = 1 * 2^{2} + 0 * 2^{1} + 1 * 2^{0}.

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