Add day 16

This commit is contained in:
2025-01-24 10:19:12 +01:00
parent be3fbcd34c
commit 8f8448a0e7
2 changed files with 430 additions and 0 deletions

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Days/Day16.cs Normal file
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using System.Numerics;
using Spectre.Console;
namespace AdventOfCode.Days;
public class Day16 : Day
{
public override int Number => 16;
public override string Name => "Reindeer Maze";
private const int Size = 141;
private const char Wall = '#';
private const char Empty = '.';
private const char Start = 'S';
private const char End = 'E';
private static readonly Point DirectionUp = new(0, -1);
private static readonly Point DirectionDown = new(0, 1);
private static readonly Point DirectionLeft = new(-1, 0);
private static readonly Point DirectionRight = new(1, 0);
public override void RunPart1(bool display = true)
{
var (maze, start, end) = ParseMaze();
var visited = new Dictionary<(Point Position, Point Direction), int>();
var minimumScore = int.MaxValue;
var toVisit = new Queue<(Point Position, Point Direction, int Score)>();
toVisit.Enqueue((start, DirectionRight, 0));
while (toVisit.Count > 0)
{
var (position, direction, score) = toVisit.Dequeue();
if (visited.TryGetValue((position, direction), out var savedScore) && savedScore <= score)
{
continue;
}
visited[(position, direction)] = score;
// Reached end
if (position == end)
{
if (score < minimumScore)
{
minimumScore = score;
}
continue;
}
// Try forward if there is no wall
var destination = position + direction;
if (maze[destination.X, destination.Y] is not Wall)
{
toVisit.Enqueue((destination, direction, score + 1));
}
// Also try changing direction
toVisit.Enqueue((position, NextDirection(direction), score + 1000));
toVisit.Enqueue((position, PreviousDirection(direction), score + 1000));
}
if (display)
{
AnsiConsole.MarkupLine($"[green]Lowest score: [yellow]{minimumScore}[/][/]");
}
}
public override void RunPart2(bool display = true)
{
var (maze, start, end) = ParseMaze();
var visited = new Dictionary<(Point Position, Point Direction), int>();
var minimumScore = int.MaxValue;
var toVisit = new Queue<(Point Position, Point Direction, int Score)>();
toVisit.Enqueue((start, DirectionRight, 0));
// First we need to find minimum score
while (toVisit.Count > 0)
{
var (position, direction, score) = toVisit.Dequeue();
if (visited.TryGetValue((position, direction), out var savedScore) && savedScore <= score)
{
continue;
}
visited[(position, direction)] = score;
// Reached end
if (position == end)
{
if (score < minimumScore)
{
minimumScore = score;
}
continue;
}
// Try forward if there is no wall
var destination = position + direction;
if (maze[destination.X, destination.Y] is not Wall)
{
toVisit.Enqueue((destination, direction, score + 1));
}
// Also try changing direction
toVisit.Enqueue((position, NextDirection(direction), score + 1000));
toVisit.Enqueue((position, PreviousDirection(direction), score + 1000));
}
// Now that we have minimum score, we need to find all the paths that lead to this score
var toVisitPath = new Stack<(Point Position, Point Direction, int Score, List<Point> Path)>();
toVisitPath.Push((start, DirectionRight, 0, []));
var minimumScorePaths = new List<List<Point>>();
while (toVisitPath.Count > 0)
{
var (position, direction, score, path) = toVisitPath.Pop();
if (score > minimumScore)
{
continue;
}
if (visited.TryGetValue((position, direction), out var savedScore) && savedScore < score)
{
continue;
}
path.Add(position);
// Reached end
if (position == end)
{
minimumScorePaths.Add(path);
continue;
}
// Try forward if there is no wall
var destination = position + direction;
if (maze[destination.X, destination.Y] is not Wall)
{
toVisitPath.Push((destination, direction, score + 1, path));
}
// Also try changing direction
toVisitPath.Push((position, NextDirection(direction), score + 1000, path.ToList()));
toVisitPath.Push((position, PreviousDirection(direction), score + 1000, path.ToList()));
}
if (display)
{
AnsiConsole.MarkupLine($"[green]Unique positions in optimal paths: [yellow]{minimumScorePaths.SelectMany(l => l).ToHashSet().Count}[/][/]");
}
}
private (char[,] Maze, Point Start, Point end) ParseMaze()
{
var maze = new char[Size, Size];
Point start = default;
Point end = default;
var y = 0;
foreach (var line in Input.AsSpan().EnumerateLines())
{
var x = 0;
foreach (var symbol in line)
{
if (symbol is Start)
{
start = new Point(x, y);
maze[x, y] = Empty;
}
else if (symbol is End)
{
end = new Point(x, y);
maze[x, y] = Empty;
}
else
{
maze[x, y] = symbol;
}
x++;
}
y++;
}
return (maze, start, end);
}
private static Point NextDirection(Point direction)
{
if (direction == DirectionUp)
{
return DirectionRight;
}
if (direction == DirectionRight)
{
return DirectionDown;
}
if (direction == DirectionDown)
{
return DirectionLeft;
}
if (direction == DirectionLeft)
{
return DirectionUp;
}
throw new ArgumentException("Invalid direction", nameof(direction));
}
private static Point PreviousDirection(Point direction)
{
if (direction == DirectionUp)
{
return DirectionLeft;
}
if (direction == DirectionLeft)
{
return DirectionDown;
}
if (direction == DirectionDown)
{
return DirectionRight;
}
if (direction == DirectionRight)
{
return DirectionUp;
}
throw new ArgumentException("Invalid direction", nameof(direction));
}
private readonly record struct Point(int X, int Y)
: IAdditionOperators<Point, Point, Point>,
ISubtractionOperators<Point, Point, Point>,
IMultiplyOperators<Point, int, Point>
{
public static Point operator +(Point left, Point right)
{
return new Point(left.X + right.X, left.Y + right.Y);
}
public static Point operator -(Point left, Point right)
{
return new Point(left.X - right.X, left.Y - right.Y);
}
public static Point operator *(Point left, int right)
{
return new Point(left.X * right, left.Y * right);
}
public static Point operator *(int left, Point right)
{
return new Point(right.X * left, right.Y * left);
}
public static implicit operator Point((int X, int Y) point)
=> new(point.X, point.Y);
}
}

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