import sys from itertools import combinations # --- Day 9: Encoding Error --- # With your neighbor happily enjoying their video game, you turn your attention # to an open data port on the little screen in the seat in front of you. # Though the port is non-standard, you manage to connect it to your computer # through the clever use of several paperclips. Upon connection, the port # outputs a series of numbers (your puzzle input). # The data appears to be encrypted with the eXchange-Masking Addition System # (XMAS) which, conveniently for you, is an old cypher with an important # weakness. # XMAS starts by transmitting a preamble of 25 numbers. After that, each number # you receive should be the sum of any two of the 25 immediately previous # numbers. The two numbers will have different values, and there might be more # than one such pair. # For example, suppose your preamble consists of the numbers 1 through 25 in a # random order. To be valid, the next number must be the sum of two of those # numbers: # 26 would be a valid next number, as it could be 1 plus 25 (or many other # pairs, like 2 and 24). # 49 would be a valid next number, as it is the sum of 24 and 25. # 100 would not be valid; no two of the previous 25 numbers sum to 100. # 50 would also not be valid; although 25 appears in the previous 25 # numbers, the two numbers in the pair must be different. # Suppose the 26th number is 45, and the first number (no longer an option, as # it is more than 25 numbers ago) was 20. Now, for the next number to be valid, # there needs to be some pair of numbers among 1-19, 21-25, or 45 that add up # to it: # 26 would still be a valid next number, as 1 and 25 are still within the # previous 25 numbers. # 65 would not be valid, as no two of the available numbers sum to it. # 64 and 66 would both be valid, as they are the result of 19+45 and 21+45 # respectively. # Here is a larger example which only considers the previous 5 numbers (and has # a preamble of length 5): # 35 # 20 # 15 # 25 # 47 # 40 # 62 # 55 # 65 # 95 # 102 # 117 # 150 # 182 # 127 # 219 # 299 # 277 # 309 # 576 # In this example, after the 5-number preamble, almost every number is the sum # of two of the previous 5 numbers; the only number that does not follow this # rule is 127. # The first step of attacking the weakness in the XMAS data is to find the # first number in the list (after the preamble) which is not the sum of two of # the 25 numbers before it. What is the first number that does not have this # property? with open("files/P9.txt", "r") as f: numbers = [int(num) for num in f.read().strip().split("\n")] def part_1() -> int: window = 25 for i in range(window, len(numbers)): if all( [ x + y != numbers[i] for x, y in combinations(numbers[i - window : i], 2) ] ): break print(f"The first number without the property is {numbers[i]}") return numbers[i] # --- Part Two --- # The final step in breaking the XMAS encryption relies on the invalid number # you just found: you must find a contiguous set of at least two numbers in # your list which sum to the invalid number from step 1. # Again consider the above example: # 35 # 20 # 15 # 25 # 47 # 40 # 62 # 55 # 65 # 95 # 102 # 117 # 150 # 182 # 127 # 219 # 299 # 277 # 309 # 576 # In this list, adding up all of the numbers from 15 through 40 produces the # invalid number from step 1, 127. (Of course, the contiguous set of numbers in # your actual list might be much longer.) # To find the encryption weakness, add together the smallest and largest number # in this contiguous range; in this example, these are 15 and 47, producing 62. # What is the encryption weakness in your XMAS-encrypted list of numbers? def part_2() -> None: target = invalid_number for i in range(len(numbers)): for j in range(i + 1, len(numbers)): if sum(numbers[i:j]) == target: print( f"The encryption weakness is {min(numbers[i:j]) + max(numbers[i:j])}" ) return if __name__ == "__main__": invalid_number = part_1() part_2()