diff --git a/aoc_cas/aoc2023/day5.py b/aoc_cas/aoc2023/day5.py index 5b8e414..dc836ab 100644 --- a/aoc_cas/aoc2023/day5.py +++ b/aoc_cas/aoc2023/day5.py @@ -1,11 +1,12 @@ import dataclasses +from functools import reduce from typing import Self from aocd import get_data @dataclasses.dataclass(frozen=True) -class Map: +class Range: source: int destination: int length: int @@ -16,71 +17,122 @@ def __lt__(self, other: Self) -> bool: @classmethod def from_line(cls, line: str) -> Self: destination, source, length = line.split(" ") - return Map(destination=int(destination), source=int(source), length=int(length)) + return Range(destination=int(destination), source=int(source), length=int(length)) + + def overlaps(self, other: Self) -> bool: + if other.source <= self.destination < other.source + other.length: + return True + if other.source <= self.destination + self.length < other.source + other.length: + return True + return False + + def cut(self, length: int) -> tuple[Self, Self]: + assert length < self.length + left = Range(source=self.source, destination=self.destination, length=length) + right = Range( + source=self.source + length, + destination=self.destination + length, + length=self.length - length, + ) + return left, right @dataclasses.dataclass(frozen=True) -class Transformation: - name: str - ranges: list[Map] +class RangeSet: + ranges: list[Range] @classmethod - def from_transformation_data(cls, group: str) -> Self: - name, *ranges_str = group.splitlines() - ranges: list[Map] = sorted(map(Map.from_line, ranges_str)) - return Transformation(name=name, ranges=ranges) - - def map(self, input: int) -> int: - if input < self.ranges[0].source: - return input - - for range in self.ranges: - if range.source > input: - break - if range.source + range.length > input: - d = input - range.source - if d <= range.length: - return range.destination + d + def from_data(cls, group: str) -> Self: + _, *ranges_str = group.splitlines() + ranges: list[Range] = sorted(map(Range.from_line, ranges_str)) + return RangeSet(ranges=ranges) + + def add(self, other: Self) -> Self: + ranges = sorted(self.ranges, key=lambda r: r.destination) + out: set[Range] = set() + i1 = 0 + r1 = ranges[i1] + for r2 in other.ranges: + while r1.destination + r1.length <= r2.source: + out.add(r1) + i1 += 1 + if i1 == len(ranges): + return RangeSet(ranges=sorted(out)) + r1 = ranges[i1] + + while r1.overlaps(r2): + if r1.destination < r2.source: + # .|---- + # ..|--- + r1_offset = r2.source - r1.destination + head = Range( + source=r1.source, + destination=r1.destination, + length=r1_offset, + ) + out.add(head) + r1 = Range( + source=r1.source + r1_offset, + destination=r1.destination + r1_offset, + length=r1.length - r1_offset, + ) else: - break - return input - - -def parse(data: str) -> tuple[list[int], list[Transformation]]: + # ..|--- + # .|---- + r2_offset = r1.destination - r2.source + r2 = Range( + source=r2.source + r2_offset, + destination=r2.destination + r2_offset, + length=r2.length - r2_offset, + ) + + if r1.destination + r1.length <= r2.source + r2.length: + # .|---|... + # .|----|. + overlap = Range(source=r1.source, destination=r2.destination, length=r1.length) + out.add(overlap) + i1 += 1 + if i1 == len(ranges): + return RangeSet(ranges=sorted(out)) + r1 = ranges[i1] + else: + # .|----|. + # .|---|... + overlap = Range(source=r1.source, destination=r2.destination, length=r2.length) + r1 = Range( + source=r1.source + overlap.length, + destination=r1.destination + overlap.length, + length=r1.length - overlap.length, + ) + out.add(overlap) + out.add(r1) + out.update(ranges[i1 + 1 :]) + return RangeSet(ranges=sorted(out)) + + +def parse(data: str) -> tuple[list[int], list[RangeSet]]: seeds_str, *groups = data.split("\n\n") seeds = [int(s) for s in seeds_str.split(" ")[1:]] - transformations = list(map(Transformation.from_transformation_data, groups)) - return seeds, transformations + range_sets = list(map(RangeSet.from_data, groups)) + return seeds, range_sets def part_a(data: str) -> int: - seeds, transformations = parse(data) - - lowest = 1 << 63 - for x in seeds: - for transformation in transformations: - x = transformation.map(x) - lowest = min(x, lowest) - return lowest + seeds, range_sets = parse(data) + ranges = [Range(source=s, destination=s, length=1) for s in seeds] + initial_rs = RangeSet(ranges=ranges) + full_transformation = reduce(RangeSet.add, range_sets, initial_rs) + return min(r.destination for r in full_transformation.ranges) def part_b(data: str) -> int: - seeds, transformations = parse(data) - - lowest = 1 << 63 - seeds_to_check = sum(seeds[1::2]) - print("Seeds to check:", seeds_to_check) - - checked = 0 + seeds, range_sets = parse(data) + ranges = [] for a, b in zip(seeds[::2], seeds[1::2]): - for x in range(a, a+b): - checked += 1 - if checked % 1000000 == 0: - print(checked, round(checked / seeds_to_check, 5)) - for transformation in transformations: - x = transformation.map(x) - lowest = min(x, lowest) - return lowest + ranges.append(Range(source=a, destination=a, length=b)) + initial_rs = RangeSet(ranges=ranges) + full_transformation = reduce(RangeSet.add, range_sets, initial_rs) + return min(r.destination for r in full_transformation.ranges) if __name__ == "__main__": @@ -88,5 +140,3 @@ def part_b(data: str) -> int: solve_with_examples(year=2023, day=5) data = get_data(year=2023, day=5) - print(part_a(data)) - print(part_b(data)) diff --git a/poetry.lock b/poetry.lock index 3e767e9..6273b34 100644 --- a/poetry.lock +++ b/poetry.lock @@ -1,4 +1,4 @@ -# This file is automatically @generated by Poetry 1.6.1 and should not be changed by hand. +# This file is automatically @generated by Poetry 1.7.1 and should not be changed by hand. 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