X-Git-Url: https://git.sommitrealweird.co.uk/advent-of-code-2020.git/blobdiff_plain/a2ce7bb47964e226d4b10b791a038ca1f1fa67d7..fe0197cb1dc8f701b69ce52b9acb445351557c8d:/day03/summary.txt diff --git a/day03/summary.txt b/day03/summary.txt new file mode 100644 index 0000000..65228ae --- /dev/null +++ b/day03/summary.txt @@ -0,0 +1,77 @@ +--- Day 3: Toboggan Trajectory --- +With the toboggan login problems resolved, you set off toward the airport. While travel by toboggan might be easy, it's certainly not safe: there's very minimal steering and the area is covered in trees. You'll need to see which angles will take you near the fewest trees. + +Due to the local geology, trees in this area only grow on exact integer coordinates in a grid. You make a map (your puzzle input) of the open squares (.) and trees (#) you can see. For example: + +..##....... +#...#...#.. +.#....#..#. +..#.#...#.# +.#...##..#. +..#.##..... +.#.#.#....# +.#........# +#.##...#... +#...##....# +.#..#...#.# +These aren't the only trees, though; due to something you read about once involving arboreal genetics and biome stability, the same pattern repeats to the right many times: + +..##.........##.........##.........##.........##.........##....... ---> +#...#...#..#...#...#..#...#...#..#...#...#..#...#...#..#...#...#.. +.#....#..#..#....#..#..#....#..#..#....#..#..#....#..#..#....#..#. +..#.#...#.#..#.#...#.#..#.#...#.#..#.#...#.#..#.#...#.#..#.#...#.# +.#...##..#..#...##..#..#...##..#..#...##..#..#...##..#..#...##..#. +..#.##.......#.##.......#.##.......#.##.......#.##.......#.##..... ---> +.#.#.#....#.#.#.#....#.#.#.#....#.#.#.#....#.#.#.#....#.#.#.#....# +.#........#.#........#.#........#.#........#.#........#.#........# +#.##...#...#.##...#...#.##...#...#.##...#...#.##...#...#.##...#... +#...##....##...##....##...##....##...##....##...##....##...##....# +.#..#...#.#.#..#...#.#.#..#...#.#.#..#...#.#.#..#...#.#.#..#...#.# ---> +You start on the open square (.) in the top-left corner and need to reach the bottom (below the bottom-most row on your map). + +The toboggan can only follow a few specific slopes (you opted for a cheaper model that prefers rational numbers); start by counting all the trees you would encounter for the slope right 3, down 1: + +From your starting position at the top-left, check the position that is right 3 and down 1. Then, check the position that is right 3 and down 1 from there, and so on until you go past the bottom of the map. + +The locations you'd check in the above example are marked here with O where there was an open square and X where there was a tree: + +..##.........##.........##.........##.........##.........##....... ---> +#..O#...#..#...#...#..#...#...#..#...#...#..#...#...#..#...#...#.. +.#....X..#..#....#..#..#....#..#..#....#..#..#....#..#..#....#..#. +..#.#...#O#..#.#...#.#..#.#...#.#..#.#...#.#..#.#...#.#..#.#...#.# +.#...##..#..X...##..#..#...##..#..#...##..#..#...##..#..#...##..#. +..#.##.......#.X#.......#.##.......#.##.......#.##.......#.##..... ---> +.#.#.#....#.#.#.#.O..#.#.#.#....#.#.#.#....#.#.#.#....#.#.#.#....# +.#........#.#........X.#........#.#........#.#........#.#........# +#.##...#...#.##...#...#.X#...#...#.##...#...#.##...#...#.##...#... +#...##....##...##....##...#X....##...##....##...##....##...##....# +.#..#...#.#.#..#...#.#.#..#...X.#.#..#...#.#.#..#...#.#.#..#...#.# ---> +In this example, traversing the map using this slope would cause you to encounter 7 trees. + +Starting at the top-left corner of your map and following a slope of right 3 and down 1, how many trees would you encounter? + +Your puzzle answer was 234. + +--- Part Two --- +Time to check the rest of the slopes - you need to minimize the probability of a sudden arboreal stop, after all. + +Determine the number of trees you would encounter if, for each of the following slopes, you start at the top-left corner and traverse the map all the way to the bottom: + +Right 1, down 1. +Right 3, down 1. (This is the slope you already checked.) +Right 5, down 1. +Right 7, down 1. +Right 1, down 2. +In the above example, these slopes would find 2, 7, 3, 4, and 2 tree(s) respectively; multiplied together, these produce the answer 336. + +What do you get if you multiply together the number of trees encountered on each of the listed slopes? + +Your puzzle answer was 5813773056. + +Both parts of this puzzle are complete! They provide two gold stars: ** + +At this point, you should return to your Advent calendar and try another puzzle. + +If you still want to see it, you can get your puzzle input. + +You can also [Share] this puzzle.