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Problems

Ordered Fractions

Ordered Fractions

Consider the set of all reduced fractions between \textbf{0} and \textbf{1} inclusive with denominators less than or equal to \textbf{N}. Here is the set when \textbf{N} = \textbf{5}: \begin{verbatim} \end{verbatim}Write a program that, given an integer \textbf{N} between \textbf{1} and \textbf{160} inclusive, prints the fractions in order of increasing magnitude. \InputFile One line with a single integer \textbf{N}. \OutputFile One fraction per line, sorted in order of magnitude.
Time limit 1 second
Memory limit 64 MiB
Input example #1
5
Output example #1
0/1
1/5
1/4
1/3
2/5
1/2
3/5
2/3
3/4
4/5
1/1