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| 1 | +using System.Runtime.InteropServices; |
| 2 | + |
| 3 | +namespace AdventOfCode.Puzzles._2023; |
| 4 | + |
| 5 | +[Puzzle(2023, 25, CodeType.Original)] |
| 6 | +public partial class Day_25_Original : IPuzzle |
| 7 | +{ |
| 8 | + public (string, string) Solve(PuzzleInput input) |
| 9 | + { |
| 10 | + var connections = new Dictionary<string, List<string>>(); |
| 11 | + foreach (var line in input.Lines) |
| 12 | + { |
| 13 | + var l = line.Split(); |
| 14 | + var from = l[0][..^1]; |
| 15 | + |
| 16 | + foreach (var to in l.Skip(1)) |
| 17 | + { |
| 18 | + connections.GetOrAdd(from, _ => new()) |
| 19 | + .Add(to); |
| 20 | + connections.GetOrAdd(to, to => new()) |
| 21 | + .Add(from); |
| 22 | + } |
| 23 | + } |
| 24 | + |
| 25 | + var part1 = 0; |
| 26 | + var keys = connections.Keys.ToList(); |
| 27 | + foreach (var key in keys.Skip(1)) |
| 28 | + { |
| 29 | + var setSize = GetComponentSize(connections, keys[0], key); |
| 30 | + if (setSize > 0) |
| 31 | + { |
| 32 | + part1 = setSize * (keys.Count - setSize); |
| 33 | + break; |
| 34 | + } |
| 35 | + } |
| 36 | + |
| 37 | + return (part1.ToString(), string.Empty); |
| 38 | + } |
| 39 | + |
| 40 | + private static int GetComponentSize( |
| 41 | + Dictionary<string, List<string>> connections, string start, string end) |
| 42 | + { |
| 43 | + var flows = new Dictionary<(string from, string to), int>(); |
| 44 | + var numFlows = 0; |
| 45 | + while (true) |
| 46 | + { |
| 47 | + var componentSize = GetComponentSize(connections, flows, start, end); |
| 48 | + if (componentSize == 0) |
| 49 | + numFlows++; |
| 50 | + else if (numFlows == 3) |
| 51 | + return componentSize; |
| 52 | + else |
| 53 | + break; |
| 54 | + } |
| 55 | + return 0; |
| 56 | + } |
| 57 | + |
| 58 | + private static int GetComponentSize( |
| 59 | + Dictionary<string, List<string>> connections, |
| 60 | + Dictionary<(string from, string to), int> flows, |
| 61 | + string start, string end) |
| 62 | + { |
| 63 | + var from = new Dictionary<string, string>() |
| 64 | + { |
| 65 | + [start] = start, |
| 66 | + }; |
| 67 | + |
| 68 | + var steps = 0; |
| 69 | + |
| 70 | + var queue = new Queue<string>(); |
| 71 | + queue.Enqueue(start); |
| 72 | + |
| 73 | + while (queue.TryDequeue(out var current) && !from.ContainsKey(end)) |
| 74 | + { |
| 75 | + steps++; |
| 76 | + |
| 77 | + var list = connections[current]; |
| 78 | + foreach (var dest in connections.Keys) |
| 79 | + { |
| 80 | + var rate = (list.Contains(dest) ? 1 : 0) - flows.GetValueOrDefault((current, dest)); |
| 81 | + if (rate > 0 && !from.ContainsKey(dest)) |
| 82 | + { |
| 83 | + from[dest] = current; |
| 84 | + queue.Enqueue(dest); |
| 85 | + } |
| 86 | + } |
| 87 | + } |
| 88 | + |
| 89 | + if (!from.ContainsKey(end)) |
| 90 | + return steps; |
| 91 | + |
| 92 | + var cur = end; |
| 93 | + while (cur != start) |
| 94 | + { |
| 95 | + CollectionsMarshal.GetValueRefOrAddDefault( |
| 96 | + flows, (from[cur], cur), out _) += 1; |
| 97 | + CollectionsMarshal.GetValueRefOrAddDefault( |
| 98 | + flows, (cur, from[cur]), out _) -= 1; |
| 99 | + |
| 100 | + cur = from[cur]; |
| 101 | + } |
| 102 | + |
| 103 | + return 0; |
| 104 | + } |
| 105 | +} |
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