Day 19 solution

Cribbed from some posts on the subreddit. I don't know why this one was so difficult for me.
2025-06-16 05:30:14 -05:00 · 2022-12-21 23:12:50 -06:00
parent aba8631366
commit 5e91487466
4 changed files with 402 additions and 856 deletions
--- a/advent-of-code-2022.csproj
+++ b/advent-of-code-2022.csproj
@ -79,6 +79,7 @@
 	  <EmbeddedResource Include="inputs\18b.txt" />
 	  <EmbeddedResource Include="inputs\19.txt" />
 	  <None Remove="inputs\20.txt" />
+	  <EmbeddedResource Include="inputs\19a.txt" />
 	  <EmbeddedResource Include="inputs\20.txt" />
 	  <None Remove="inputs\21.txt" />
 	  <EmbeddedResource Include="inputs\20a.txt" />
--- a/inputs/19.txt
+++ b/inputs/19.txt
@ -1,856 +1,30 @@
--- scanner 0 ---
-536,703,543
-132,-41,-64
-429,350,-809
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-369,-732,-732
-806,-680,810
-502,729,469
-417,400,-831
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-13,-26,94
-508,-654,-647
-581,-685,774
-396,-908,355
-481,568,418
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-306,410,-668
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-465,-656,-423
-474,-628,-795
-463,568,426
-254,306,-662
-358,-788,353
-396,313,-691
-251,-873,452
-
--- scanner 1 ---
-405,377,-919
-471,604,350
-479,506,644
-495,326,707
-407,-663,-846
-618,-537,318
-584,506,-618
-577,-375,640
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-512,382,-895
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-262,-699,-913
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-917,-437,-630
-422,787,372
-48,7,-59
-451,618,404
-697,390,-626
-766,485,-587
-971,-556,-663
-
--- scanner 2 ---
-652,-598,521
-680,708,-671
-401,-847,-328
-666,588,522
-629,-292,-571
-256,-750,-363
-576,-428,-551
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-27,-15,66
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-741,661,-790
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-736,691,-860
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-650,579,455
-363,-849,-448
-77,-44,-102
-636,387,485
-609,-565,657
-
--- scanner 3 ---
-694,-480,675
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-689,385,454
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-413,-651,-750
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-438,-700,-839
-735,493,-571
-
--- scanner 4 ---
-530,746,312
-786,-443,556
-889,-559,548
-707,-625,-700
-597,746,-565
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-797,-456,613
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-877,-533,314
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-654,717,-547
-56,111,-123
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-618,407,-518
-697,-695,-738
-
--- scanner 5 ---
-622,-664,638
-91,56,-46
-584,-588,503
-597,-542,-844
-637,-732,382
-541,-389,-695
-608,849,773
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-715,664,-901
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-603,-571,-996
-702,-641,519
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-546,-560,-802
-529,757,-875
-774,670,-893
-710,934,780
-633,-647,616
-45,186,-187
-571,805,-747
-469,-300,-758
-548,722,-801
-470,-365,-800
-
--- scanner 6 ---
-63,90,49
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-578,-569,-624
-655,-638,533
-625,-555,-405
-612,-558,-546
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-537,611,499
-462,665,425
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-648,-556,677
-
--- scanner 7 ---
-845,881,-301
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-538,-579,-380
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-931,951,534
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-448,-570,-525
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-301,-469,-277
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-
--- scanner 8 ---
-642,587,781
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-
--- scanner 9 ---
-511,-520,557
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-265,-413,425
-
--- scanner 10 ---
-737,650,-388
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-624,339,830
-50,-20,162
-465,-450,778
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-903,382,-262
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-
--- scanner 11 ---
-99,76,34
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-416,-818,449
-383,-733,-582
-278,-673,-485
-263,-587,-586
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-21,-98,124
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-807,-609,-325
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-
--- scanner 12 ---
-425,-551,749
-399,-500,-745
-621,-564,617
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-635,-782,-410
-141,-60,-11
-407,-500,691
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-786,391,773
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-602,225,-477
-535,-509,559
-733,594,734
-652,-499,714
-466,-660,638
-375,-461,-524
-501,241,-363
-13,-15,-141
-392,-416,-592
-585,-935,-464
-408,225,-391
-
--- scanner 13 ---
-869,-562,284
-626,-660,-761
-863,541,-592
-615,-577,-676
-594,-454,-831
-713,476,667
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-
--- scanner 14 ---
-441,817,-678
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-9,-9,185
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-
--- scanner 15 ---
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-
--- scanner 16 ---
-509,-793,667
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-
--- scanner 17 ---
-754,602,-677
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-
--- scanner 18 ---
-113,-179,93
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-
--- scanner 19 ---
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-
--- scanner 20 ---
-698,-671,896
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-
--- scanner 21 ---
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-
--- scanner 22 ---
-417,869,-670
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-
--- scanner 23 ---
-800,-816,-415
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-
--- scanner 24 ---
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-
--- scanner 25 ---
-871,758,-518
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-
--- scanner 26 ---
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-
--- scanner 27 ---
-490,-562,-654
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-
--- scanner 28 ---
-69,84,-59
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-
--- scanner 29 ---
-554,-452,430
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-
--- scanner 30 ---
-648,439,-720
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-5,-51,26
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+Blueprint 1: Each ore robot costs 4 ore. Each clay robot costs 4 ore. Each obsidian robot costs 3 ore and 11 clay. Each geode robot costs 3 ore and 8 obsidian.
+Blueprint 2: Each ore robot costs 4 ore. Each clay robot costs 4 ore. Each obsidian robot costs 4 ore and 14 clay. Each geode robot costs 3 ore and 16 obsidian.
+Blueprint 3: Each ore robot costs 3 ore. Each clay robot costs 3 ore. Each obsidian robot costs 2 ore and 15 clay. Each geode robot costs 3 ore and 9 obsidian.
+Blueprint 4: Each ore robot costs 3 ore. Each clay robot costs 3 ore. Each obsidian robot costs 3 ore and 15 clay. Each geode robot costs 2 ore and 8 obsidian.
+Blueprint 5: Each ore robot costs 4 ore. Each clay robot costs 4 ore. Each obsidian robot costs 4 ore and 8 clay. Each geode robot costs 2 ore and 18 obsidian.
+Blueprint 6: Each ore robot costs 4 ore. Each clay robot costs 4 ore. Each obsidian robot costs 3 ore and 7 clay. Each geode robot costs 4 ore and 20 obsidian.
+Blueprint 7: Each ore robot costs 3 ore. Each clay robot costs 4 ore. Each obsidian robot costs 4 ore and 6 clay. Each geode robot costs 2 ore and 20 obsidian.
+Blueprint 8: Each ore robot costs 4 ore. Each clay robot costs 3 ore. Each obsidian robot costs 2 ore and 10 clay. Each geode robot costs 4 ore and 10 obsidian.
+Blueprint 9: Each ore robot costs 3 ore. Each clay robot costs 4 ore. Each obsidian robot costs 3 ore and 15 clay. Each geode robot costs 4 ore and 16 obsidian.
+Blueprint 10: Each ore robot costs 4 ore. Each clay robot costs 3 ore. Each obsidian robot costs 4 ore and 19 clay. Each geode robot costs 4 ore and 12 obsidian.
+Blueprint 11: Each ore robot costs 3 ore. Each clay robot costs 3 ore. Each obsidian robot costs 3 ore and 19 clay. Each geode robot costs 3 ore and 17 obsidian.
+Blueprint 12: Each ore robot costs 3 ore. Each clay robot costs 4 ore. Each obsidian robot costs 2 ore and 19 clay. Each geode robot costs 2 ore and 12 obsidian.
+Blueprint 13: Each ore robot costs 2 ore. Each clay robot costs 4 ore. Each obsidian robot costs 4 ore and 16 clay. Each geode robot costs 4 ore and 17 obsidian.
+Blueprint 14: Each ore robot costs 4 ore. Each clay robot costs 4 ore. Each obsidian robot costs 4 ore and 18 clay. Each geode robot costs 4 ore and 9 obsidian.
+Blueprint 15: Each ore robot costs 3 ore. Each clay robot costs 4 ore. Each obsidian robot costs 3 ore and 17 clay. Each geode robot costs 3 ore and 7 obsidian.
+Blueprint 16: Each ore robot costs 4 ore. Each clay robot costs 3 ore. Each obsidian robot costs 4 ore and 15 clay. Each geode robot costs 4 ore and 9 obsidian.
+Blueprint 17: Each ore robot costs 4 ore. Each clay robot costs 4 ore. Each obsidian robot costs 3 ore and 14 clay. Each geode robot costs 3 ore and 8 obsidian.
+Blueprint 18: Each ore robot costs 4 ore. Each clay robot costs 4 ore. Each obsidian robot costs 2 ore and 11 clay. Each geode robot costs 2 ore and 7 obsidian.
+Blueprint 19: Each ore robot costs 2 ore. Each clay robot costs 3 ore. Each obsidian robot costs 3 ore and 18 clay. Each geode robot costs 2 ore and 19 obsidian.
+Blueprint 20: Each ore robot costs 2 ore. Each clay robot costs 4 ore. Each obsidian robot costs 3 ore and 19 clay. Each geode robot costs 4 ore and 8 obsidian.
+Blueprint 21: Each ore robot costs 4 ore. Each clay robot costs 4 ore. Each obsidian robot costs 3 ore and 9 clay. Each geode robot costs 3 ore and 7 obsidian.
+Blueprint 22: Each ore robot costs 3 ore. Each clay robot costs 4 ore. Each obsidian robot costs 4 ore and 5 clay. Each geode robot costs 3 ore and 12 obsidian.
+Blueprint 23: Each ore robot costs 2 ore. Each clay robot costs 3 ore. Each obsidian robot costs 3 ore and 14 clay. Each geode robot costs 3 ore and 19 obsidian.
+Blueprint 24: Each ore robot costs 3 ore. Each clay robot costs 3 ore. Each obsidian robot costs 3 ore and 16 clay. Each geode robot costs 3 ore and 9 obsidian.
+Blueprint 25: Each ore robot costs 4 ore. Each clay robot costs 4 ore. Each obsidian robot costs 4 ore and 9 clay. Each geode robot costs 4 ore and 16 obsidian.
+Blueprint 26: Each ore robot costs 3 ore. Each clay robot costs 3 ore. Each obsidian robot costs 2 ore and 12 clay. Each geode robot costs 2 ore and 10 obsidian.
+Blueprint 27: Each ore robot costs 4 ore. Each clay robot costs 4 ore. Each obsidian robot costs 4 ore and 8 clay. Each geode robot costs 3 ore and 19 obsidian.
+Blueprint 28: Each ore robot costs 4 ore. Each clay robot costs 3 ore. Each obsidian robot costs 3 ore and 7 clay. Each geode robot costs 3 ore and 9 obsidian.
+Blueprint 29: Each ore robot costs 4 ore. Each clay robot costs 3 ore. Each obsidian robot costs 2 ore and 14 clay. Each geode robot costs 4 ore and 11 obsidian.
+Blueprint 30: Each ore robot costs 2 ore. Each clay robot costs 3 ore. Each obsidian robot costs 3 ore and 13 clay. Each geode robot costs 2 ore and 20 obsidian.
--- a/inputs/19a.txt
+++ b/inputs/19a.txt
@ -0,0 +1,2 @@
+Blueprint 1: Each ore robot costs 4 ore. Each clay robot costs 2 ore. Each obsidian robot costs 3 ore and 14 clay. Each geode robot costs 2 ore and 7 obsidian.
+Blueprint 2: Each ore robot costs 2 ore. Each clay robot costs 3 ore. Each obsidian robot costs 3 ore and 8 clay. Each geode robot costs 3 ore and 12 obsidian.
--- a/src/19.cs
+++ b/src/19.cs
@ -0,0 +1,369 @@
+using System.Text.RegularExpressions;
+
+namespace aoc2022;
+
+internal partial class Day19 : Day
+{
+    private enum resource
+    {
+        ore = 1,
+        clay = 2,
+        obsidian = 3,
+        geode = 4,
+    }
+
+    private class cost
+    {
+        public resource type;
+        public int amount;
+
+        public override string ToString() => $"{amount} {type}";
+    }
+
+    private class blueprint
+    {
+        public int id;
+        public Dictionary<resource, List<cost>> robots = new();
+
+        public override string ToString() => $"({robots.Count}) {string.Join("; ", robots)}";
+    }
+
+    private class miningSim
+    {
+        public miningSim(blueprint bp, int timeLimit = 24)
+        {
+            this.bp = bp;
+            this.timeLimit = timeLimit;
+        }
+
+        public override string ToString() => $"{resources[resource.ore]}r {clayCount}c {obsidianCount}o {geodeCount}g @{timePassed}m with bots {robots[resource.ore]}r {clayRobotCount}c {obsidianRobotCount}o {geodeRobotCount}g";
+
+        private int? cachedUpperBound;
+        public readonly int timeLimit;
+
+        public int GetFinalValueUpperBound()
+        {
+            cachedUpperBound ??= GetFinalGeodesUpperBound(this);
+            return cachedUpperBound.Value;
+        }
+
+        private miningSim Clone()
+        {
+            var tmp = (miningSim) MemberwiseClone();
+            tmp.cachedUpperBound = null;
+            tmp.robots = new Dictionary<resource, int>(tmp.robots);
+            tmp.resources = new Dictionary<resource, int>(tmp.resources);
+            tmp.shouldWait = false;
+            return tmp;
+        }
+
+        public miningSim advance()
+        {
+            var copy = Clone();
+            copy.internalAdvance();
+            return copy;
+        }
+
+        private void internalAdvance()
+        {
+            shouldWait = false;
+            timePassed++;
+            foreach (var r in robots)
+            {
+                resources[r.Key] += r.Value;
+            }
+        }
+
+        public miningSim buildRobot(resource type)
+        {
+            var copy = Clone();
+            copy.internalBuildRobot(type);
+            return copy;
+        }
+
+        private static readonly cost freeCost = new() {type = resource.ore, amount = 0};
+
+        private (cost cost1, cost cost2) getCosts(resource r)
+        {
+            var robotDef = bp.robots[r];
+            var cost1 = robotDef.First();
+            var cost2 = (robotDef.Count() > 1 ? robotDef.Last() : freeCost);
+            return (cost1, cost2);
+        }
+
+        private void internalBuildRobot(resource r)
+        {
+            var (cost1, cost2) = getCosts(r);
+
+            resources[cost1.type] -= cost1.amount;
+            if (resources[cost1.type] < 0)
+            {
+                throw new Exception($"sim {cost1.type} amount too low");
+            }
+            resources[cost2.type] -= cost2.amount;
+            if (resources[cost2.type] < 0)
+            {
+                throw new Exception($"sim {cost2.type} amount too low");
+            }
+
+            internalAdvance();
+
+            robots[r]++;
+        }
+
+        private enum buildStatus
+        {
+            cantBuild,
+            canBuild,
+            buildableEventually,
+        }
+
+        buildStatus getBuildStatus(resource r)
+        {
+            var (cost1, cost2) = getCosts(r);
+
+            if (resources[cost1.type] >= cost1.amount && resources[cost2.type] >= cost2.amount)
+            {
+                return buildStatus.canBuild;
+            }
+
+            if (robots[cost1.type] > 0 && robots[cost2.type] > 0)
+            {
+                return buildStatus.buildableEventually;
+            }
+
+            return buildStatus.cantBuild;
+        }
+
+        private IEnumerable<KeyValuePair<resource, List<cost>>> getBotsRequiring(resource res)
+        {
+            return bp.robots.Where(bot => bot.Value.Any(r => r.type == res));
+        }
+
+        public IEnumerable<resource> GetBuildableRobots()
+        {
+            foreach (var robot in bp.robots)
+            {
+                var status = getBuildStatus(robot.Key);
+                if (status == buildStatus.canBuild)
+                {
+                    yield return robot.Key;
+                }
+                else if (status == buildStatus.buildableEventually)
+                {
+                    shouldWait = true;
+                }
+            }
+        }
+
+        private readonly blueprint bp;
+        public int timePassed { get; private set; }
+        public int geodeCount => resources[resource.geode];
+        public int geodeRobotCount => robots[resource.geode];
+
+        public int obsidianCount => resources[resource.obsidian];
+        public int obsidianRobotCount => robots[resource.obsidian];
+        public int geodeRobotObsidianCost => bp.robots[resource.geode][1].amount;
+
+        public int clayCount => resources[resource.clay];
+        public int clayRobotCount => robots[resource.clay];
+        public int obsidianRobotClayCost => bp.robots[resource.obsidian][1].amount;
+
+        public double geodesPerMinute => 1.0 * geodeCount / timePassed;
+        public bool shouldWait { get; private set; }
+
+        private Dictionary<resource, int> robots = new()
+        {
+            {resource.ore, 1},
+            {resource.clay, 0},
+            {resource.obsidian, 0},
+            {resource.geode, 0},
+        };
+
+        private Dictionary<resource, int> resources = new()
+        {
+            {resource.ore, 0},
+            {resource.clay, 0},
+            {resource.obsidian, 0},
+            {resource.geode, 0},
+        };
+    }
+
+    private readonly List<blueprint> blueprints = new();
+
+    [GeneratedRegex(
+        "Blueprint (?<num>\\d+): Each (?<robottype1>.+?) robot costs (?<count1>\\d+) (?<costtype1>.+?)\\. Each (?<robottype2>.+?) robot costs (?<count2>\\d+) (?<costtype2>.+?)\\. Each (?<robottype3>.+?) robot costs (?<count3_1>\\d+) (?<costtype3_1>.+?) and (?<count3_2>\\d+) (?<costtype3_2>.+?)\\. Each (?<robottype4>.+?) robot costs (?<count4_1>\\d+) (?<costtype4_1>.+?) and (?<count4_2>\\d+) (?<costtype4_2>.+?)\\.")]
+    private static partial Regex BlueprintRegex();
+
+    internal override void Parse()
+    {
+        Regex r = BlueprintRegex();
+        foreach (var line in Util.Parsing.ReadAllLines("19"))
+        {
+            var match = r.Match(line);
+
+            cost orecost = new()
+            {
+                type = Enum.Parse<resource>(match.Groups["costtype1"].Value),
+                amount = int.Parse(match.Groups["count1"].Value),
+            };
+
+            cost claycost = new()
+            {
+                type = Enum.Parse<resource>(match.Groups["costtype2"].Value),
+                amount = int.Parse(match.Groups["count2"].Value),
+            };
+
+            cost obsidiancost1 = new()
+            {
+                type = Enum.Parse<resource>(match.Groups["costtype3_1"].Value),
+                amount = int.Parse(match.Groups["count3_1"].Value),
+            };
+            cost obsidiancost2 = new()
+            {
+                type = Enum.Parse<resource>(match.Groups["costtype3_2"].Value),
+                amount = int.Parse(match.Groups["count3_2"].Value),
+            };
+
+            cost geodecost1 = new()
+            {
+                type = Enum.Parse<resource>(match.Groups["costtype4_1"].Value),
+                amount = int.Parse(match.Groups["count4_1"].Value),
+            };
+            cost geodecost2 = new()
+            {
+                type = Enum.Parse<resource>(match.Groups["costtype4_2"].Value),
+                amount = int.Parse(match.Groups["count4_2"].Value),
+            };
+
+            blueprint bp = new()
+            {
+                id = blueprints.Count + 1,
+                robots = new Dictionary<resource, List<cost>>
+                {
+                    {resource.ore, new List<cost> {orecost}},
+                    {resource.clay, new List<cost> {claycost}},
+                    {resource.obsidian, new List<cost> {obsidiancost1, obsidiancost2}},
+                    {resource.geode, new List<cost> {geodecost1, geodecost2}},
+                },
+            };
+
+            blueprints.Add(bp);
+        }
+    }
+
+    private static int GetFinalGeodesUpperBound(miningSim sim)
+    {
+        int geodeRobotCount = sim.geodeRobotCount;
+        int obsidianRobotCount = sim.obsidianRobotCount;
+        int clayRobotCount = sim.clayRobotCount;
+
+        int obsidianCount = sim.obsidianCount;
+        int obsidianCost = sim.geodeRobotObsidianCost;
+
+        int clayCount = sim.clayCount;
+        int clayCost = sim.obsidianRobotClayCost;
+
+        int geodeCount = sim.geodeCount;
+        for (int i = sim.timePassed; i < sim.timeLimit; i++)
+        {
+            var newClayRobotCount = clayRobotCount;
+            var newObsidianRobotCount = obsidianRobotCount;
+            var newGeodeRobotCount = geodeRobotCount;
+
+            if (obsidianCount >= obsidianCost)
+            {
+                obsidianCount -= obsidianCost;
+                newGeodeRobotCount++;
+            }
+
+            if (clayCount >= clayCost)
+            {
+                clayCount -= clayCost;
+                newObsidianRobotCount++;
+            }
+
+            newClayRobotCount++;
+
+            clayCount += clayRobotCount;
+            obsidianCount += obsidianRobotCount;
+            geodeCount += geodeRobotCount;
+
+            geodeRobotCount = newGeodeRobotCount;
+            obsidianRobotCount = newObsidianRobotCount;
+            clayRobotCount = newClayRobotCount;
+        }
+
+        return geodeCount;
+    }
+
+    private int FindMaxGeodes(miningSim sim)
+    {
+        var queue = new PriorityQueue<miningSim,
+            (double rate, int timePassed, int estimatedFutureValue)>();
+        queue.Enqueue(sim,
+            (0.0, 0, 0)
+        );
+
+        int bestGeodes = 0;
+
+        while (queue.Count > 0)
+        {
+            var state = queue.Dequeue();
+            if (state.timePassed > state.timeLimit)
+            {
+                continue;
+            }
+
+            if (state.geodeCount > bestGeodes)
+            {
+                bestGeodes = state.geodeCount;
+            }
+
+            if (state.timePassed == state.timeLimit)
+            {
+                continue;
+            }
+
+            var finalGeodesUpperBound = state.GetFinalValueUpperBound();
+            if (finalGeodesUpperBound <= bestGeodes)
+            {
+                continue;
+            }
+
+            foreach (var toBuild in state.GetBuildableRobots())
+            {
+                var nextState = state.buildRobot(toBuild);
+                queue.Enqueue(nextState,
+                    (-nextState.geodesPerMinute, -nextState.timePassed, -nextState.GetFinalValueUpperBound())
+                );
+            }
+
+            if (state.shouldWait)
+            {
+                var nextState = state.advance();
+                queue.Enqueue(nextState,
+                    (-nextState.geodesPerMinute, -nextState.timePassed, -nextState.GetFinalValueUpperBound())
+                );
+            }
+        }
+
+        return bestGeodes;
+    }
+
+    internal override string Part1()
+    {
+        var lst = blueprints.Select(sim => (sim.id, maxGeodes: FindMaxGeodes(new miningSim(sim))));
+
+        var qualitySum = lst.Select(x => x.id * x.maxGeodes).Sum();
+        return $"Quality level of all blueprints for 24 minutes: <+white>{qualitySum}";
+    }
+
+    internal override string Part2()
+    {
+        var g1 = FindMaxGeodes(new miningSim(blueprints[0], 32));
+        var g2 = FindMaxGeodes(new miningSim(blueprints[1], 32));
+        var g3 = FindMaxGeodes(new miningSim(blueprints[2], 32));
+        return $"Sum of geodes opened by first 3 blueprints after 32 minutes: <+white>{g1*g2*g3}";
+    }
+}