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+#!/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)))