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| 1 | +#include "aoc.h" |
| 2 | + |
| 3 | +namespace { |
| 4 | + |
| 5 | +enum Direction { NORTH, EAST, SOUTH, WEST }; |
| 6 | + |
| 7 | +using Scalar = unsigned; |
| 8 | +using Int = unsigned long; |
| 9 | +constexpr unsigned long MAX = std::numeric_limits<unsigned long>::max(); |
| 10 | + |
| 11 | +struct Point { |
| 12 | + Scalar row{}, col{}; |
| 13 | + Point operator+ (const Point &rhs) const noexcept { |
| 14 | + return { uint8_t(row + rhs.row), uint8_t(col + rhs.col) }; |
| 15 | + } |
| 16 | + auto operator <=> (const Point &rhs) const = default; |
| 17 | +}; |
| 18 | + |
| 19 | +struct Cell { |
| 20 | + char c; // can kill this when done debugging. |
| 21 | + unsigned wall:1; |
| 22 | + Int costs[4] = { MAX, MAX, MAX, MAX }; |
| 23 | + Cell(char c) : c(c), wall(c == '#') {} |
| 24 | +}; |
| 25 | + |
| 26 | +constexpr Point velocity(Direction d) noexcept { |
| 27 | + switch (d) { |
| 28 | + case NORTH: return {Scalar(-1), 0}; |
| 29 | + case SOUTH: return {1, 0}; |
| 30 | + case EAST: return {0, 1}; |
| 31 | + case WEST: return {0, Scalar(-1)}; |
| 32 | + default: __builtin_unreachable(); |
| 33 | + } |
| 34 | +} |
| 35 | +constexpr Direction rotate(Direction d) noexcept { |
| 36 | + return Direction((d + 1) % 4); |
| 37 | +} |
| 38 | + |
| 39 | +[[maybe_unused]] |
| 40 | +std::ostream & operator << (std::ostream &os, Direction d) { |
| 41 | + switch (d) { |
| 42 | + case NORTH: return os << "NORTH"; |
| 43 | + case SOUTH: return os << "SOUTH"; |
| 44 | + case EAST: return os << "EAST"; |
| 45 | + case WEST: return os << "WEST"; |
| 46 | + default: __builtin_unreachable(); |
| 47 | + } |
| 48 | +} |
| 49 | + |
| 50 | +struct Key { |
| 51 | + Point pos; |
| 52 | + Direction d; |
| 53 | + auto operator <=> (const Key &rhs) const = default; |
| 54 | +}; |
| 55 | + |
| 56 | +struct Node { |
| 57 | + unsigned long cost { MAX }; |
| 58 | + Key key; |
| 59 | + auto operator <=> (const Node &rhs) const = default; |
| 60 | +}; |
| 61 | + |
| 62 | +struct Part2 { |
| 63 | + std::vector<std::vector<Cell>> map; |
| 64 | + std::vector<std::vector<std::array<std::vector<Key>, 4>>> paths; |
| 65 | + Point s, e; |
| 66 | + |
| 67 | + Cell & at(Point p) { |
| 68 | + return map[p.row][p.col]; |
| 69 | + } |
| 70 | + |
| 71 | + void visit(Key k, std::set<Point> &best_points) { |
| 72 | + best_points.insert(k.pos); |
| 73 | + if (k.pos != s) { |
| 74 | + for (auto &k2 : paths[k.pos.row][k.pos.col][k.d]) |
| 75 | + visit(k2, best_points); |
| 76 | + } |
| 77 | + } |
| 78 | + |
| 79 | + Int dijkstra() { |
| 80 | + std::set<Node> Q; |
| 81 | + Q.insert({.cost=0, .key={.pos = s, .d=EAST}}); |
| 82 | + while (!Q.empty()) { |
| 83 | + auto head = Q.begin(); |
| 84 | + auto item = *head; |
| 85 | + Q.erase(head); |
| 86 | + |
| 87 | + auto try_add = [&](Key to, Int c, Key prev) { |
| 88 | + auto &cell = at(to.pos); |
| 89 | + if (!cell.wall) { |
| 90 | + if (cell.costs[to.d] == c) { |
| 91 | + paths[to.pos.row][to.pos.col][to.d].push_back(prev); |
| 92 | + } else if (cell.costs[to.d] > c) { |
| 93 | + paths[to.pos.row][to.pos.col][to.d].clear(); |
| 94 | + paths[to.pos.row][to.pos.col][to.d].push_back(prev); |
| 95 | + Q.insert({.cost=c, .key=to}); |
| 96 | + cell.costs[to.d] = c; |
| 97 | + } |
| 98 | + } |
| 99 | + }; |
| 100 | + |
| 101 | + Direction d = item.key.d; |
| 102 | + try_add(Key{item.key.pos + velocity(d), d}, item.cost + 1, item.key); |
| 103 | + d = rotate(d); |
| 104 | + try_add({item.key.pos, d}, item.cost + 1000, item.key); |
| 105 | + d = rotate(d); |
| 106 | + try_add({item.key.pos, d}, item.cost + 2000, item.key); |
| 107 | + d = rotate(d); |
| 108 | + try_add({item.key.pos, d}, item.cost + 1000, item.key); |
| 109 | + } |
| 110 | + auto ecell = at(e); |
| 111 | + auto ebest = *std::min_element( ecell.costs, ecell.costs + 4 ); |
| 112 | + std::set<Point> best_points; |
| 113 | + |
| 114 | + for (auto dir : { NORTH, SOUTH, EAST, WEST }) |
| 115 | + if (ecell.costs[dir] == ebest) |
| 116 | + visit({e, dir}, best_points); |
| 117 | + return best_points.size(); |
| 118 | + } |
| 119 | + |
| 120 | + Part2(std::istream &is) noexcept { |
| 121 | + unsigned row = 0; |
| 122 | + for (std::string line; getline(is, line); ) { |
| 123 | + map.emplace_back(); |
| 124 | + paths.emplace_back(); |
| 125 | + unsigned col = 0; |
| 126 | + for (auto c : line) { |
| 127 | + map.back().emplace_back(c); |
| 128 | + paths.back().emplace_back(); |
| 129 | + switch (c) { |
| 130 | + case 'S': |
| 131 | + s = { row, col }; |
| 132 | + break; |
| 133 | + case 'E': |
| 134 | + e = { row, col }; |
| 135 | + break; |
| 136 | + } |
| 137 | + ++col; |
| 138 | + } |
| 139 | + ++row; |
| 140 | + } |
| 141 | + } |
| 142 | + Int solve(std::ostream &) { |
| 143 | + return dijkstra(); |
| 144 | + } |
| 145 | +}; |
| 146 | + |
| 147 | + |
| 148 | +aoc::Case part2{"part2", [](std::istream &is, std::ostream &os) { os << Part2(is).solve(os); } }; |
| 149 | + |
| 150 | +} |
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