|
| 1 | +import functools |
| 2 | +import re |
| 3 | + |
| 4 | +from . import SeparateRunner |
| 5 | + |
| 6 | + |
| 7 | +def parse_input(input: str) -> tuple[dict[str, int], dict[str, tuple[str, str, str]]]: |
| 8 | + variable_part, rules_part = input.strip().split("\n\n") |
| 9 | + |
| 10 | + variables = {} |
| 11 | + |
| 12 | + for line in variable_part.splitlines(): |
| 13 | + variable, value = line.split(": ") |
| 14 | + variables[variable] = int(value) |
| 15 | + |
| 16 | + rules = {} |
| 17 | + |
| 18 | + for first, op, second, result in re.findall( |
| 19 | + r"(\w+) (XOR|OR|AND) (\w+) -> (\w+)", rules_part |
| 20 | + ): |
| 21 | + rules[result] = (first, op, second) |
| 22 | + |
| 23 | + return variables, rules |
| 24 | + |
| 25 | + |
| 26 | +class DayRunner(SeparateRunner): |
| 27 | + @classmethod |
| 28 | + def part1(cls, input: str) -> int: |
| 29 | + variables, rules = parse_input(input) |
| 30 | + |
| 31 | + @functools.cache |
| 32 | + def get_value(variable: str) -> int: |
| 33 | + if variable in variables: |
| 34 | + return variables[variable] |
| 35 | + |
| 36 | + first, op, second = rules[variable] |
| 37 | + first_v = get_value(first) |
| 38 | + second_v = get_value(second) |
| 39 | + |
| 40 | + match op: |
| 41 | + case "AND": |
| 42 | + return first_v & second_v |
| 43 | + case "OR": |
| 44 | + return first_v | second_v |
| 45 | + case "XOR": |
| 46 | + return first_v ^ second_v |
| 47 | + |
| 48 | + result = 0 |
| 49 | + for variable in reversed(sorted(rules)): |
| 50 | + if not variable.startswith("z"): |
| 51 | + continue |
| 52 | + result = result * 2 + get_value(variable) |
| 53 | + |
| 54 | + return result |
| 55 | + |
| 56 | + @classmethod |
| 57 | + def part2(cls, input: str) -> str: |
| 58 | + variables, rules = parse_input(input) |
| 59 | + |
| 60 | + max_bit = int( |
| 61 | + max(variable for variable in rules if variable.startswith("z"))[1:] |
| 62 | + ) |
| 63 | + |
| 64 | + def find_invalid(output: str, pattern) -> set[str]: |
| 65 | + if pattern is None: |
| 66 | + return set() |
| 67 | + |
| 68 | + if output in rules: |
| 69 | + left, op, right = rules[output] |
| 70 | + elif output == pattern: |
| 71 | + return set() |
| 72 | + else: |
| 73 | + return {output} |
| 74 | + |
| 75 | + pop, pleft, pright = pattern |
| 76 | + |
| 77 | + if op != pop: |
| 78 | + return {output} |
| 79 | + |
| 80 | + wrong_normal = find_invalid(left, pleft) | find_invalid(right, pright) |
| 81 | + wrong_mirror = find_invalid(left, pright) | find_invalid(right, pleft) |
| 82 | + |
| 83 | + least_wrong = min(wrong_mirror, wrong_normal, key=len) |
| 84 | + |
| 85 | + return least_wrong |
| 86 | + |
| 87 | + # First one is a half adder, that's a simple pattern |
| 88 | + invalid = find_invalid("z00", ["XOR", "x00", "y00"]) |
| 89 | + # Second one is missing a reference to the before-previous adder, so it's a |
| 90 | + # slightly different patterns |
| 91 | + invalid |= find_invalid( |
| 92 | + "z01", ["XOR", ["AND", "x00", "y00"], ["XOR", "x01", "y01"]] |
| 93 | + ) |
| 94 | + |
| 95 | + for n in range(2, max_bit): |
| 96 | + xcurr = f"x{n:02}" |
| 97 | + ycurr = f"y{n:02}" |
| 98 | + zcurr = f"z{n:02}" |
| 99 | + xprev = f"x{n-1:02}" |
| 100 | + yprev = f"y{n-1:02}" |
| 101 | + |
| 102 | + invalid |= find_invalid( |
| 103 | + zcurr, |
| 104 | + [ |
| 105 | + "XOR", |
| 106 | + ["XOR", xcurr, ycurr], |
| 107 | + ["OR", ["AND", xprev, yprev], ["AND", ["XOR", xprev, yprev], None]], |
| 108 | + ], |
| 109 | + ) |
| 110 | + |
| 111 | + # This code somehow believes `ktp` is invalid, but it's fine on closer |
| 112 | + # inspection. Will figure that out later. |
| 113 | + |
| 114 | + return ",".join(sorted(invalid)) |
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