diff options
Diffstat (limited to 'challenge-159/paulo-custodio/python/ch-1.py')
| -rw-r--r-- | challenge-159/paulo-custodio/python/ch-1.py | 38 |
1 files changed, 38 insertions, 0 deletions
diff --git a/challenge-159/paulo-custodio/python/ch-1.py b/challenge-159/paulo-custodio/python/ch-1.py new file mode 100644 index 0000000000..70c306c5fa --- /dev/null +++ b/challenge-159/paulo-custodio/python/ch-1.py @@ -0,0 +1,38 @@ +#!/usr/bin/env python3 + +# Challenge 159 +# +# TASK #1 > Farey Sequence +# Submitted by: Mohammad S Anwar +# You are given a positive number, $n. +# +# Write a script to compute Farey Sequence of the order $n. +# +# Example 1: +# Input: $n = 5 +# Output: 0/1, 1/5, 1/4, 1/3, 2/5, 1/2, 3/5, 2/3, 3/4, 4/5, 1/1. +# Example 2: +# Input: $n = 7 +# Output: 0/1, 1/7, 1/6, 1/5, 1/4, 2/7, 1/3, 2/5, 3/7, 1/2, 4/7, 3/5, 2/3, 5/7, 3/4, 4/5, 5/6, 6/7, 1/1. +# Example 3: +# Input: $n = 4 +# Output: 0/1, 1/4, 1/3, 1/2, 2/3, 3/4, 1/1. + +from math import gcd +import sys + +def farey_sequence(n): + seq = [(0, 1), (1, 1)] # first and last terms + + for i in range(1, n + 1): + for j in range(i + 1, n + 1): + if gcd(i, j) == 1: + seq.append((i, j)) + + seq.sort(key=lambda x: x[0] / x[1]) + seq = [f"{num[0]}/{num[1]}" for num in seq] + + return seq + +n = int(sys.argv[1]) +print(", ".join(farey_sequence(n))) |
