Day 6 part 1

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2024-12-07 02:37:00 -05:00
parent 33baab170f
commit 349d64468f
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using AdventOfCode.Utils.Models;
using System;
using System.Collections.Frozen;
using System.Collections.Generic;
using System.Diagnostics.CodeAnalysis;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using Turn = (AdventOfCode.Utils.Models.Vec2<int> pos, int dir, int step);
namespace AdventOfCode.Problems.AOC2024.Day6;
[ProblemInfo(2024, 6, "Guard Gallivant")]
internal class GuardGallivant : Problem<int, int>
{
private char[][] _data = [];
private int _height;
private int _width;
public static readonly Vec2<int>[] DIRS = [
new (0, -1),
new (1, 0),
new (0, 1),
new (-1, 0),
];
public override void CalculatePart1()
{
var map = new GuardMap(_data, GetStartPos());
Part1 = map.GetPath().DistinctBy(p => p.pos).Count();
}
private FrozenSet<(Vec2<int> pos, int dir)> GetVisited(out List<Turn> turns)
{
var visited = new HashSet<(Vec2<int> pos, int dir)>();
turns = [];
var pos = GetStartPos();
var dir = 0;
var step = 0;
while (IsInBounds(pos))
{
var curDir = DIRS[dir];
visited.Add((pos, dir));
if (CanMove(pos, curDir, _data))
pos += curDir;
else
{
turns.Add((pos, dir, step));
dir = (dir + 1) % DIRS.Length;
}
step++;
}
//PrintBoard(visited.Select(v => v.pos).ToFrozenSet(), pos, _data);
return visited.ToFrozenSet();
}
private void PrintBoard(FrozenSet<Vec2<int>> visited, Vec2<int> pos, char[][] board)
{
Console.WriteLine("======================");
for (int y = 0; y < board.Length; y++)
{
var row = board[y];
for (int x = 0; x < row.Length; x++)
{
var p = new Vec2<int>(x, y);
if (row[x] == '#')
{
Console.Write(row[x]);
continue;
}
if (row[x] == '^' && p != pos)
{
if(visited.Contains(p))
Console.Write('X');
else
Console.Write('.');
}
else
{
if (visited.Contains(new(x, y)))
Console.Write('X');
else if(p == pos)
Console.Write('*');
else
Console.Write(row[x]);
}
}
Console.WriteLine();
}
}
private bool CanMove(Vec2<int> pos, Vec2<int> dir, char[][] board)
{
var p = pos + dir;
if(IsInBounds(p))
return board[p.Y][p.X] == '.' || board[p.Y][p.X] == '^';
return true;
}
private Vec2<int> GetStartPos()
{
for (int y = 0; y < _data.Length; y++)
{
var row = _data[y];
for (int x = 0; x < row.Length; x++)
{
if (row[x] == '^')
return new (x, y);
}
}
throw new Exception("Start Position not found");
}
private bool IsInBounds(Vec2<int> pos)
{
if (pos.X < 0 || pos.Y < 0)
return false;
if (pos.X >= _width || pos.Y >= _height)
return false;
return true;
}
public override void CalculatePart2()
{
var map = new GuardMap(_data, GetStartPos());
var path = map.GetPath();
foreach (var (pos, node) in path)
{
var turn = (node.Direction + 1) % 4;
if(map.GetNextObstacle(pos, turn, out var next)){
var obstacle = new GuardNode(pos, turn);
var nextNode = map.Nodes.FirstOrDefault(p => p.Pos == next - DIRS[turn] && p.Direction == (turn + 1) % 4);
if(nextNode != null)
{
var tmp = node.Next;
node.Next = obstacle;
obstacle.Next = nextNode;
if(obstacle.IsLoop())
Part2++;
node.Next = tmp;
}
}
}
}
public override void LoadInput()
{
_data = ReadInputLines("input.txt").Select(r => r.ToCharArray()).ToArray();
_height = _data.Length;
_width = _data[0].Length;
}
}
file class GuardMap
{
public GuardNode Start { get; set; }
public List<GuardNode> Nodes { get; set; }
private List<Vec2<int>> _obstacles = [];
private int _height;
private int _width;
public GuardMap(char[][] map, Vec2<int> start)
{
_height = map.Length;
_width = map[0].Length;
Start = new GuardNode(start, 0);
Nodes = [Start];
FindObstacles(map);
Solve();
}
public List<(Vec2<int> pos, GuardNode node)> GetPath()
{
var path = new List<(Vec2<int>, GuardNode)>();
var curNode = Start;
while (true)
{
if (curNode.Next == null)
{
var end = curNode.Direction switch
{
0 => new Vec2<int>(curNode.Pos.X, -1),
1 => new Vec2<int>(_width, curNode.Pos.Y),
2 => new Vec2<int>(curNode.Pos.X, _height),
3 => new Vec2<int>(-1, curNode.Pos.Y),
_ => throw new InvalidOperationException()
};
path.AddRange(GetPointsBetween(curNode.Pos, end, curNode.Direction).Select(p => (p, curNode)));
break;
}
path.AddRange(GetPointsBetween(curNode.Pos, curNode.Next.Pos, curNode.Direction).Select(p => (p, curNode)));
curNode = curNode.Next;
}
return path;
}
private List<Vec2<int>> GetPointsBetween(Vec2<int> start, Vec2<int> end, int dir)
{
var result = new List<Vec2<int>>();
switch (dir)
{
case 0:
for (int i = start.Y; i > end.Y; i--)
result.Add(new Vec2<int>(start.X, i));
break;
case 1:
for (int i = start.X; i < end.X; i++)
result.Add(new Vec2<int>(i, start.Y));
break;
case 2:
for (int i = start.Y; i < end.Y; i++)
result.Add(new Vec2<int>(start.X, i));
break;
case 3:
for (int i = start.X; i > end.X; i--)
result.Add(new Vec2<int>(i, start.Y));
break;
}
return result;
}
private void FindObstacles(char[][] map)
{
for (int y = 0; y < map.Length; y++)
{
for (int x = 0; x < map[0].Length; x++)
{
if (map[y][x] == '#')
_obstacles.Add(new(x, y));
}
}
}
private void Solve()
{
var curNode = Start;
while (true)
{
if(!GetNextObstacle(curNode.Pos, curNode.Direction, out var next))
break;
curNode.Next = new GuardNode(next - GuardGallivant.DIRS[curNode.Direction], (curNode.Direction + 1) % 4);
curNode = curNode.Next;
Nodes.Add(curNode);
}
}
public bool SolveNewPath(GuardNode start, Vec2<int> extraObsticle)
{
var curNode = start;
var nodes = new List<GuardNode>()
{
start
};
while (true)
{
if (nodes.Count > 8)
return false;
if (!GetNextObstacle(curNode.Pos, curNode.Direction, out var next, extraObsticle))
return false;
var newNode = new GuardNode(next - GuardGallivant.DIRS[curNode.Direction], (curNode.Direction + 1) % 4);
if (nodes.Any(n => n.Pos == newNode.Pos && n.Direction == newNode.Direction))
return true;
curNode.Next = newNode;
curNode = curNode.Next;
}
}
public bool GetNextObstacle(Vec2<int> start, int dir, out Vec2<int> pos, Vec2<int>? extraObsticle = null)
{
var obstacles = extraObsticle != null ? _obstacles.Append((Vec2<int>)extraObsticle) : _obstacles;
pos = default;
switch (dir)
{
case 0:
var up = obstacles.Where(o => o.X == start.X && o.Y < start.Y);
if (up.Any())
{
pos = up.MaxBy(o => o.Y);
return true;
}
break;
case 1:
var right = obstacles.Where(o => o.Y == start.Y && o.X > start.X);
if (right.Any())
{
pos = right.MinBy(o => o.X);
return true;
}
break;
case 2:
var down = obstacles.Where(o => o.X == start.X && o.Y > start.Y);
if (down.Any())
{
pos = down.MinBy(o => o.Y);
return true;
}
break;
case 3:
var left = obstacles.Where(o => o.Y == start.Y && o.X < start.X);
if (left.Any())
{
pos = left.MaxBy(o => o.X);
return true;
}
break;
}
return false;
}
}
file class GuardNode
{
public Vec2<int> Pos { get; }
public int Direction { get; }
public GuardNode? Next { get; set; }
public GuardNode(Vec2<int> pos, int dir)
{
Pos = pos;
Direction = dir;
}
public bool IsLoop()
{
return NodeExists(this);
}
public bool NodeExists(GuardNode target)
{
if (Next == null)
return false;
if (Next == target)
return true;
return Next.NodeExists(target);
}
public override string ToString()
{
return $"{Pos}: {Direction}";
}
}

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using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
namespace AdventOfCode.Utils;
public static class Extensions
{
public static string AsJoinedString(this object[] data, string delim = ", ")
{
return string.Join(delim, data);
}
}

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using System.Numerics;
namespace AdventOfCode.Utils.Models;
public record struct Vec2<T>(T X, T Y) where T : INumber<T>
{
public static Vec2<T> operator +(Vec2<T> left, Vec2<T> right) => new Vec2<T>(left.X + right.X, left.Y + right.Y);
public static Vec2<T> operator -(Vec2<T> left, Vec2<T> right) => new Vec2<T>(left.X - right.X, left.Y - right.Y);
public static Vec2<T> operator *(Vec2<T> left, T right) => new Vec2<T>(left.X * right, left.Y * right);
public static Vec2<T> operator /(Vec2<T> left, T right) => new Vec2<T>(left.X / right, left.Y / right);
}
public record struct Vec3<T>(T X, T Y, T Z) where T : INumber<T>
{
public static Vec3<T> operator +(Vec3<T> left, Vec3<T> right) => new Vec3<T>(left.X + right.X, left.Y + right.Y, left.Z + right.Z);
public static Vec3<T> operator -(Vec3<T> left, Vec3<T> right) => new Vec3<T>(left.X - right.X, left.Y - right.Y, left.Z - right.Z);
public static Vec3<T> operator *(Vec3<T> left, T right) => new Vec3<T>(left.X * right, left.Y * right, left.Z * right);
public static Vec3<T> operator /(Vec3<T> left, T right) => new Vec3<T>(left.X / right, left.Y / right, left.Z / right);
}