cho.sh
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Movie Director Shom

Time limit

2s

Memory limit

128 MB

Problem

The number 666 is said to symbolize the end of the world, so many blockbuster movies use 666 in their titles.

Movie director Shom is making a film series called End of the World. Instead of numbering the titles with 1, 2, 3, and so on like other directors, Shom decides to use his own rule.

A doom number is a positive integer whose decimal representation contains at least three consecutive 6s. The smallest doom number is 666, followed by 1666, 2666, 3666, ... .

Shom uses 666 in the title of the first movie and 1666 in the title of the second movie. In general, the N-th movie title contains the N-th smallest doom number.

Given N, write a program that prints the number used in the title of Shom's N-th movie. Shom always makes the movies in order and does not make any other movies.

Input

The first line contains a positive integer N. N is at most 10,000.

Output

Print the N-th smallest doom number on the first line.