| 1 | 1 | def encode(plain_text: str, a: int, b: int) -> str: |
| 2 | pass | |
| 2 | m = 26 # Size of the alphabet | |
| 3 | ||
| 4 | # Edge Case: Check if a and m are coprime | |
| 5 | if gcd(a, m) != 1: | |
| 6 | raise ValueError("a and m must be coprime.") | |
| 7 | ||
| 8 | result = [] | |
| 9 | char_count = 0 | |
| 10 | ||
| 11 | for char in plain_text: | |
| 12 | # Edge Case: Ignore non-alphanumeric characters | |
| 13 | if not char.isalnum(): | |
| 14 | continue | |
| 15 | ||
| 16 | if char.isalpha(): | |
| 17 | # Convert to lowercase | |
| 18 | char = char.lower() | |
| 19 | # Get the index (0-25) | |
| 20 | i = ord(char) - ord('a') | |
| 21 | # Apply encryption formula | |
| 22 | encrypted_index = (a * i + b) % m | |
| 23 | # Convert back to character | |
| 24 | encrypted_char = chr(encrypted_index + ord('a')) | |
| 25 | result.append(encrypted_char) | |
| 26 | char_count += 1 | |
| 27 | elif char.isdigit(): | |
| 28 | # Edge Case: Keep digits as they are | |
| 29 | result.append(char) | |
| 30 | char_count += 1 | |
| 31 | ||
| 32 | # Edge Case: Add space after every 5 characters | |
| 33 | if char_count % 5 == 0 and char_count > 0: | |
| 34 | result.append(' ') | |
| 35 | ||
| 36 | # Edge Case: Remove trailing space if present | |
| 37 | if result and result[-1] == ' ': | |
| 38 | result.pop() | |
| 39 | ||
| 40 | return ''.join(result) | |
| 3 | 41 | |
| 4 | 42 | |
| 5 | 43 | def decode(ciphered_text: str, a: int, b: int) -> str: |
| 6 | pass | |
| 44 | m = 26 # Size of the alphabet | |
| 45 | ||
| 46 | # Edge Case: Check if a and m are coprime | |
| 47 | if gcd(a, m) != 1: | |
| 48 | raise ValueError("a and m must be coprime.") | |
| 49 | ||
| 50 | # Find the modular multiplicative inverse of a | |
| 51 | a_inv = None | |
| 52 | for x in range(1, m): | |
| 53 | if (a * x) % m == 1: | |
| 54 | a_inv = x | |
| 55 | break | |
| 56 | ||
| 57 | # Edge Case: This should not happen if gcd(a, m) == 1, but just in case | |
| 58 | if a_inv is None: | |
| 59 | raise ValueError("Cannot find modular multiplicative inverse.") | |
| 60 | ||
| 61 | result = [] | |
| 62 | ||
| 63 | for char in ciphered_text: | |
| 64 | # Edge Case: Ignore spaces and non-alphanumeric characters | |
| 65 | if not char.isalnum(): | |
| 66 | continue | |
| 67 | ||
| 68 | if char.isalpha(): | |
| 69 | # Convert to lowercase | |
| 70 | char = char.lower() | |
| 71 | # Get the index (0-25) | |
| 72 | y = ord(char) - ord('a') | |
| 73 | # Apply decryption formula | |
| 74 | decrypted_index = (a_inv * (y - b)) % m | |
| 75 | # Convert back to character | |
| 76 | decrypted_char = chr(decrypted_index + ord('a')) | |
| 77 | result.append(decrypted_char) | |
| 78 | elif char.isdigit(): | |
| 79 | # Edge Case: Keep digits as they are | |
| 80 | result.append(char) | |
| 81 | ||
| 82 | return ''.join(result) | |
| 83 | ||
| 84 | ||
| 85 | def gcd(a: int, b: int) -> int: | |
| 86 | # Edge Case: Handle negative numbers by taking absolute values | |
| 87 | a, b = abs(a), abs(b) | |
| 88 | while b: | |
| 89 | a, b = b, a % b | |
| 90 | return a | |
| 91 | ||
| 92 | # Handled Edge Cases: | |
| 93 | # - Check if a and m are coprime in both encode and decode | |
| 94 | # - Ignore non-alphanumeric characters in both encode and decode | |
| 95 | # - Convert uppercase letters to lowercase | |
| 96 | # - Keep digits unchanged | |
| 97 | # - Add space after every 5 characters in encode | |
| 98 | # - Remove trailing space in encode | |
| 99 | # - Handle negative numbers in gcd function | |
| 100 | # - Raise ValueError when modular multiplicative inverse cannot be found |
| Test Name | Status |
|---|---|
test_decode_a_sentence | Pass |
test_decode_all_the_letters | Pass |
test_decode_exercism | Pass |
test_decode_numbers | Pass |
test_decode_with_a_not_coprime_to_m | Pass |
test_decode_with_no_spaces_in_input | Pass |
test_decode_with_too_many_spaces | Pass |
test_encode_all_the_letters | Pass |
test_encode_deep_thought | Pass |
test_encode_mindblowingly | Pass |
test_encode_no | Pass |
test_encode_numbers | Pass |
test_encode_o_m_g | Pass |
test_encode_omg | Pass |
test_encode_with_a_not_coprime_to_m | Pass |
test_encode_yes | Pass |
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