1 files changed, 68 insertions, 0 deletions
diff --git a/challenge-070/paulo-custodio/python/ch-2.py b/challenge-070/paulo-custodio/python/ch-2.py
new file mode 100644
index 0000000000..96724bc983
--- /dev/null
+++ b/challenge-070/paulo-custodio/python/ch-2.py
@@ -0,0 +1,68 @@
+#!/usr/bin/env python3
+
+# Challenge 070
+#
+# TASK #2 > Gray Code Sequence
+# Submitted by: Mohammad S Anwar
+# You are given an integer 2 <= $N <= 5.
+#
+# Write a script to generate $N-bit gray code sequence.
+#
+# 2-bit Gray Code Sequence
+# [0, 1, 3, 2]
+# To generate the 3-bit Gray code sequence from the 2-bit Gray code sequence,
+# follow the step below:
+#
+# 2-bit Gray Code sequence
+# [0, 1, 3, 2]
+#
+# Binary form of the sequence
+# a) S1 = [00, 01, 11, 10]
+#
+# Reverse of S1
+# b) S2 = [10, 11, 01, 00]
+#
+# Prefix all entries of S1 with '0'
+# c) S1 = [000, 001, 011, 010]
+#
+# Prefix all entries of S2 with '1'
+# d) S2 = [110, 111, 101, 100]
+#
+# Concatenate S1 and S2 gives 3-bit Gray Code sequence
+# e) [000, 001, 011, 010, 110, 111, 101, 100]
+#
+# 3-bit Gray Code sequence
+# [0, 1, 3, 2, 6, 7, 5, 4]
+# Example
+# Input: $N = 4
+#
+# Output: [0, 1, 3, 2, 6, 7, 5, 4, 12, 13, 15, 14, 10, 11, 9, 8]
+
+import sys
+
+def gray(n):
+    if n < 2:
+        raise ValueError("N must be at least 2")
+    elif n == 2:
+        return [0, 1, 3, 2]
+    else:
+        # gray sequence of N-1
+        prev = gray(n-1)
+        # binary form to S1
+        s1 = [format(x, f'0{n-1}b') for x in prev]
+        # reverse to S2
+        s2 = s1[::-1]
+        # prefix S1 with 0
+        s1 = ['0' + x for x in s1]
+        # prefix S2 with 1
+        s2 = ['1' + x for x in s2]
+        # concatenate
+        gray_seq = s1 + s2
+        # convert to decimal
+        gray_seq = [int(x, 2) for x in gray_seq]
+
+        return gray_seq
+
+if __name__ == "__main__":
+    N = int(sys.argv[1]) if len(sys.argv) > 1 else 2
+    print(", ".join(map(str, gray(N))))