main.py

#

Part 1:

— Day 3: Perfectly Spherical Houses in a Vacuum —

Santa is delivering presents to an infinite two-dimensional grid of houses.

He begins by delivering a present to the house at his starting location, and then an elf at the North Pole calls him via radio and tells him where to move next. Moves are always exactly one house to the north (^), south (v), east (>), or west (<). After each move, he delivers another present to the house at his new location.

However, the elf back at the north pole has had a little too much eggnog, and so his directions are a little off, and Santa ends up visiting some houses more than once. How many houses receive at least one present?

import logging
from typing import Iterable, NamedTuple
#

For example:

def test_part1() -> None:
#

> delivers presents to 2 houses: one at the starting location, and one to the east.

    assert part1(">") == 2
#

^>v< delivers presents to 4 houses in a square, including twice to the house at his starting/ending location.

    assert part1("^>v<") == 4
#

^v^v^v^v^v delivers a bunch of presents to some very lucky children at only 2 houses.

    assert part1("^v^v^v^v^v") == 2
#

Part 1 Solution:

#

This class represents a location on the problem grid. The x coordinate goes positive north, negative south. The y coordinate goes positive east, negative west.

class Pos(NamedTuple):
#
    x: int
    y: int
#

Return a new Pos moved by the given offset.

    def move(self: "Pos", offset: "Pos") -> "Pos":
#
        return Pos(self.x + offset.x, self.y + offset.y)


directions = {
    "^": Pos(1, 0),
    "v": Pos(-1, 0),
    ">": Pos(0, 1),
    "<": Pos(0, -1),
}
#

Iterate through the directions in the given path string and yield all resulting positions encountered while following the path.

def follow_path(starting_position: Pos, path: str) -> Iterable[Pos]:
#
    current_position = starting_position
    logging.debug(f"Starting at {current_position}")
    yield current_position

    for direction in path:
        current_position = current_position.move(directions.get(direction, Pos(0, 0)))
        logging.debug(f"Moved {direction} to {current_position}")
        yield current_position
#

Take the list of directions, find the path that will be taken, and return the number of unique positions.

def part1(input: str) -> int:
#

Part 2:

The next year, to speed up the process, Santa creates a robot version of himself, Robo-Santa, to deliver presents with him.

Santa and Robo-Santa start at the same location (delivering two presents to the same starting house), then take turns moving based on instructions from the elf, who is eggnoggedly reading from the same script as the previous year.

This year, how many houses receive at least one present?

    starting_position = Pos(0, 0)
    unique_positions = set(follow_path(starting_position, input))
    return len(unique_positions)
#
#

For example:

def test_part2() -> None:
#

^v delivers presents to 3 houses, because Santa goes north, and then Robo-Santa goes south.

    assert part2("^v") == 3
#

^>v< now delivers presents to 3 houses, and Santa and Robo-Santa end up back where they started.

    assert part2("^>v<") == 3
#

^v^v^v^v^v now delivers presents to 11 houses, with Santa going one direction and Robo-Santa going the other.

    assert part2("^v^v^v^v^v") == 11
#

Part 2 Solution:

#

Slice the input directions to be every other direction starting from the first for Santa, and every other direction starting from the second for Robo-Stana. Then, combine the two sets of positions and return the total number of unique positions.

def part2(input: str) -> int:
#
    starting_position = Pos(0, 0)
    santa_positions = set(follow_path(starting_position, input[::2]))
    robo_santa_positions = set(follow_path(starting_position, input[1::2]))
    return len(santa_positions | robo_santa_positions)


if __name__ == "__main__":
    puzzle_input = open("input.txt").read().rstrip()
#

Print out part 1 solution

    print("Part 1:", part1(puzzle_input))
#

Print out part 2 solution

    print("Part 2:", part2(puzzle_input))