# --- Day 14: One-Time Pad --- # In order to communicate securely with Santa while you're on this mission, # you've been using a one-time pad that you generate using a pre-agreed # algorithm. Unfortunately, you've run out of keys in your one-time pad, and so # you need to generate some more. # To generate keys, you first get a stream of random data by taking the MD5 of # a pre-arranged salt (your puzzle input) and an increasing integer index # (starting with 0, and represented in decimal); the resulting MD5 hash should # be represented as a string of lowercase hexadecimal digits. # However, not all of these MD5 hashes are keys, and you need 64 new keys for # your one-time pad. A hash is a key only if: # It contains three of the same character in a row, like 777. Only consider # the first such triplet in a hash. # One of the next 1000 hashes in the stream contains that same character # five times in a row, like 77777. # Considering future hashes for five-of-a-kind sequences does not cause those # hashes to be skipped; instead, regardless of whether the current hash is a # key, always resume testing for keys starting with the very next hash. # For example, if the pre-arranged salt is abc: # The first index which produces a triple is 18, because the MD5 hash of # abc18 contains ...cc38887a5.... However, index 18 does not count as a key for # your one-time pad, because none of the next thousand hashes (index 19 through # index 1018) contain 88888. # The next index which produces a triple is 39; the hash of abc39 contains # eee. It is also the first key: one of the next thousand hashes (the one at # index 816) contains eeeee. # None of the next six triples are keys, but the one after that, at index # 92, is: it contains 999 and index 200 contains 99999. # Eventually, index 22728 meets all of the criteria to generate the 64th # key. # So, using our example salt of abc, index 22728 produces the 64th key. # Given the actual salt in your puzzle input, what index produces your 64th # one-time pad key? import re from hashlib import md5 input = "ahsbgdzn" def generate_hash(num): md5hash = md5(bytes(input + str(num), "ascii")).hexdigest() quintuples = re.findall(r"(\w)\1{4}", md5hash) return md5hash, quintuples def part_1(): hashes = [generate_hash(num) for num in range(1000)] index = 0 keys = 0 while True: hash, _ = hashes.pop(0) hashes.append(generate_hash(index + 1000)) match = re.search(r"(\w)\1{2}", hash) if match: letter = re.search(r"(\w)\1{2}", hash).group(1) if any(letter in item[1] for item in hashes): keys += 1 if keys == 64: print(f"{index} produces the 64th one-time pad key") return index += 1 # --- Part Two --- # Of course, in order to make this process even more secure, you've also # implemented key stretching. # Key stretching forces attackers to spend more time generating hashes. # Unfortunately, it forces everyone else to spend more time, too. # To implement key stretching, whenever you generate a hash, before you use it, # you first find the MD5 hash of that hash, then the MD5 hash of that hash, and # so on, a total of 2016 additional hashings. Always use lowercase hexadecimal # representations of hashes. # For example, to find the stretched hash for index 0 and salt abc: # Find the MD5 hash of abc0: 577571be4de9dcce85a041ba0410f29f. # Then, find the MD5 hash of that hash: eec80a0c92dc8a0777c619d9bb51e910. # Then, find the MD5 hash of that hash: 16062ce768787384c81fe17a7a60c7e3. # ...repeat many times... # Then, find the MD5 hash of that hash: a107ff634856bb300138cac6568c0f24. # So, the stretched hash for index 0 in this situation is a107ff.... In the end, # you find the original hash (one use of MD5), then find the # hash-of-the-previous-hash 2016 times, for a total of 2017 uses of MD5. # The rest of the process remains the same, but now the keys are entirely # different. Again for salt abc: # The first triple (222, at index 5) has no matching 22222 in the next # thousand hashes. # The second triple (eee, at index 10) hash a matching eeeee at index 89, # and so it is the first key. # Eventually, index 22551 produces the 64th key (triple fff with matching # fffff at index 22859. # Given the actual salt in your puzzle input and using 2016 extra MD5 calls of # key stretching, what index now produces your 64th one-time pad key? def key_stretching(num): md5hash = input + str(num) for _ in range(2017): md5hash = md5(bytes(md5hash, "ascii")).hexdigest() quintuples = re.findall(r"(\w)\1{4}", md5hash) return md5hash, quintuples def part_2(): hashes = [key_stretching(num) for num in range(1000)] index = 0 keys = 0 while True: hash, _ = hashes.pop(0) hashes.append(key_stretching(index + 1000)) match = re.search(r"(\w)\1{2}", hash) if match: letter = re.search(r"(\w)\1{2}", hash).group(1) if any(letter in item[1] for item in hashes): keys += 1 if keys == 64: print(f"{index} produces the 64th one-time pad key") return index += 1 if __name__ == "__main__": part_1() part_2()