Day 18: Ram Run

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FAQ

  • mykl@lemmy.world
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    9 days ago

    Dart

    I knew keeping my search code from day 16 would come in handy, I just didn’t expect it to be so soon.

    For Part 2 it finds that same path (laziness on my part), then does a simple binary chop to home in on the last valid path. (was then searches for the first block that will erm block that path, and re-runs the search after that block has dropped, repeating until blocked. Simple but okay. )

    90 lines, half of which is my copied search method. Runs in a couple of seconds which isn’t great, but isn’t bad. Binary chop dropped it to 200ms.

    import 'dart:math';
    import 'package:collection/collection.dart';
    import 'package:more/more.dart';
    
    var d4 = <Point<num>>[Point(0, 1), Point(0, -1), Point(1, 0), Point(-1, 0)];
    
    solve(List<String> lines, int count, Point end, bool inPart1) {
      var blocks = (lines
          .map((e) => e.split(',').map(int.parse).toList())
          .map((p) => Point<num>(p[0], p[1]))).toList();
      var blocksSofar = blocks.take(count).toSet();
      var start = Point(0, 0);
      Map<Point, num> fNext(Point here) => {
            for (var d in d4
                .map((d) => d + here)
                .where((e) =>
                    e.x.between(start.x, end.x) &&
                    e.y.between(start.y, end.y) &&
                    !blocksSofar.contains(e))
                .toList())
              d: 1
          };
    
      int fHeur(Point here) => 1;
      bool fAtEnd(Point here) => here == end;
      var cost = aStarSearch<Point>(start, fNext, fHeur, fAtEnd);
    
      if (inPart1) return cost.first;
      var lo = count, hi = blocks.length;
      while (lo <= hi) {
        var mid = (lo + hi) ~/ 2;
        blocksSofar = blocks.take(mid).toSet();
        cost = aStarSearch<Point>(start, fNext, fHeur, fAtEnd);
        (cost.first > 0) ? lo = mid + 1 : hi = mid - 1;
      }
      var p = blocks[lo - 1];
      return '${p.x},${p.y}';
    }
    
    part1(lines, count, end) => solve(lines, count, end, true);
    part2(lines, count, end) => solve(lines, count, end, false);
    
    That search method
    /// Returns cost to destination, plus list of routes to destination.
    /// Does Dijkstra/A* search depending on whether heuristic returns 1 or
    /// something better.
    (num, List<List<T>>) aStarSearch<T>(T start, Map<T, num> Function(T) fNext,
        int Function(T) fHeur, bool Function(T) fAtEnd,
        {multiplePaths = false}) {
      var cameFrom = SetMultimap<T, T>.fromEntries([MapEntry(start, start)]);
    
      var ends = <T>{};
      var front = PriorityQueue<T>((a, b) => fHeur(a).compareTo(fHeur(b)))
        ..add(start);
      var cost = <T, num>{start: 0};
      while (front.isNotEmpty) {
        var here = front.removeFirst();
        if (fAtEnd(here)) {
          ends.add(here);
          continue;
        }
        var ns = fNext(here);
        for (var n in ns.keys) {
          var nCost = cost[here]! + ns[n]!;
          if (!cost.containsKey(n) || nCost < cost[n]!) {
            cost[n] = nCost;
            front.add(n);
            cameFrom.removeAll(n);
            cameFrom[n].add(here);
          }
          if (multiplePaths && cost[n] == nCost) cameFrom[n].add(here);
        }
      }
    
      Iterable<List<T>> routes(T h) sync* {
        if (h == start) {
          yield [h];
          return;
        }
        for (var p in cameFrom[h]) {
          yield* routes(p).map((e) => e + [h]);
        }
      }
    
      if (ends.isEmpty) return (-1, []);
      var minCost = ends.map((e) => cost[e]!).min;
      ends = ends.where((e) => cost[e]! == minCost).toSet();
      return (minCost, ends.fold([], (s, t) => s..addAll(routes(t).toList())));
    }