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2024/day16/problem
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Advent of Code
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--- Day 16: Reindeer Maze ---
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It's time again for the [16]Reindeer Olympics! This year, the big event is
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the Reindeer Maze, where the Reindeer compete for the lowest score.
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You and The Historians arrive to search for the Chief right as the event
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is about to start. It wouldn't hurt to watch a little, right?
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The Reindeer start on the Start Tile (marked S) facing East and need to
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reach the End Tile (marked E). They can move forward one tile at a time
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(increasing their score by 1 point), but never into a wall (#). They can
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also rotate clockwise or counterclockwise 90 degrees at a time (increasing
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their score by 1000 points).
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To figure out the best place to sit, you start by grabbing a map (your
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puzzle input) from a nearby kiosk. For example:
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###############
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#.......#....E#
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#.#.###.#.###.#
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#.....#.#...#.#
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#.###.#####.#.#
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#.#.#.......#.#
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#.#.#####.###.#
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#...........#.#
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###.#.#####.#.#
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#...#.....#.#.#
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#.#.#.###.#.#.#
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#.....#...#.#.#
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#.###.#.#.#.#.#
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#S..#.....#...#
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###############
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There are many paths through this maze, but taking any of the best paths
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would incur a score of only 7036. This can be achieved by taking a total
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of 36 steps forward and turning 90 degrees a total of 7 times:
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###############
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#.......#....E#
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#.#.###.#.###^#
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#.....#.#...#^#
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#.###.#####.#^#
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#.#.#.......#^#
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#.#.#####.###^#
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#..>>>>>>>>v#^#
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###^#.#####v#^#
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#>>^#.....#v#^#
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#^#.#.###.#v#^#
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#^....#...#v#^#
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#^###.#.#.#v#^#
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#S..#.....#>>^#
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###############
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Here's a second example:
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#################
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#...#...#...#..E#
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#.#.#.#.#.#.#.#.#
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#.#.#.#...#...#.#
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#.#.#.#.###.#.#.#
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#...#.#.#.....#.#
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#.#.#.#.#.#####.#
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#.#...#.#.#.....#
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#.#.#####.#.###.#
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#.#.#.......#...#
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#.#.###.#####.###
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#.#.#...#.....#.#
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#.#.#.#####.###.#
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#.#.#.........#.#
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#.#.#.#########.#
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#S#.............#
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#################
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In this maze, the best paths cost 11048 points; following one such path
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would look like this:
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#################
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#...#...#...#..E#
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#.#.#.#.#.#.#.#^#
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#.#.#.#...#...#^#
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#.#.#.#.###.#.#^#
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#>>v#.#.#.....#^#
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#^#v#.#.#.#####^#
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#^#v..#.#.#>>>>^#
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#^#v#####.#^###.#
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#^#v#..>>>>^#...#
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#^#v###^#####.###
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#^#v#>>^#.....#.#
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#^#v#^#####.###.#
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#^#v#^........#.#
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#^#v#^#########.#
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#S#>>^..........#
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#################
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Note that the path shown above includes one 90 degree turn as the very
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first move, rotating the Reindeer from facing East to facing North.
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Analyze your map carefully. What is the lowest score a Reindeer could
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possibly get?
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Your puzzle answer was 72400.
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--- Part Two ---
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Now that you know what the best paths look like, you can figure out the
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best spot to sit.
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Every non-wall tile (S, ., or E) is equipped with places to sit along the
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edges of the tile. While determining which of these tiles would be the
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best spot to sit depends on a whole bunch of factors (how comfortable the
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seats are, how far away the bathrooms are, whether there's a pillar
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blocking your view, etc.), the most important factor is whether the tile
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is on one of the best paths through the maze. If you sit somewhere else,
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you'd miss all the action!
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So, you'll need to determine which tiles are part of any best path through
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the maze, including the S and E tiles.
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In the first example, there are 45 tiles (marked O) that are part of at
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least one of the various best paths through the maze:
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###############
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#.......#....O#
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#.#.###.#.###O#
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#.....#.#...#O#
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#.###.#####.#O#
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#.#.#.......#O#
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#.#.#####.###O#
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#..OOOOOOOOO#O#
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###O#O#####O#O#
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#OOO#O....#O#O#
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#O#O#O###.#O#O#
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#OOOOO#...#O#O#
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#O###.#.#.#O#O#
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#O..#.....#OOO#
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###############
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In the second example, there are 64 tiles that are part of at least one of
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the best paths:
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#################
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#...#...#...#..O#
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#.#.#.#.#.#.#.#O#
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#.#.#.#...#...#O#
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#.#.#.#.###.#.#O#
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#OOO#.#.#.....#O#
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#O#O#.#.#.#####O#
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#O#O..#.#.#OOOOO#
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#O#O#####.#O###O#
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#O#O#..OOOOO#OOO#
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#O#O###O#####O###
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#O#O#OOO#..OOO#.#
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#O#O#O#####O###.#
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#O#O#OOOOOOO..#.#
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#O#O#O#########.#
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#O#OOO..........#
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#################
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Analyze your map further. How many tiles are part of at least one of the
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best paths through the maze?
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Your puzzle answer was 435.
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Both parts of this puzzle are complete! They provide two gold stars: **
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At this point, you should [17]return to your Advent calendar and try
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another puzzle.
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If you still want to see it, you can [18]get your puzzle input.
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References
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Visible links
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1. https://adventofcode.com/
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2. https://adventofcode.com/2024/about
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3. https://adventofcode.com/2024/events
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5. https://adventofcode.com/2024/settings
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6. https://adventofcode.com/2024/auth/logout
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7. Advent of Code Supporter
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https://adventofcode.com/2024/support
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8. https://adventofcode.com/2024
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9. https://adventofcode.com/2024
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10. https://adventofcode.com/2024/support
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12. https://adventofcode.com/2024/leaderboard
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13. https://adventofcode.com/2024/stats
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16. https://adventofcode.com/2015/day/14
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17. https://adventofcode.com/2024
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18. https://adventofcode.com/2024/day/16/input
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