const std = @import("std"); const print = std.debug.print; const util = @import("util.zig"); const Point = util.Point; const log = util.log; const expect = std.testing.expect; pub fn main() !void { var gpa = std.heap.GeneralPurposeAllocator(.{}){}; defer _ = gpa.deinit(); const allocator = gpa.allocator(); const response = try partTwo(false, false, allocator); print("{}\n", .{response}); } // Sketch of intended logic: // * Find shortest non-cheating time start-to-finish // * Find fastest time (don't need to save path) from start _to_ each location // * Find faster time (ditto) from end _to_ each location // * Find all cheats // * For each cheat: // * Time saved is basic time - (time-from-start-to-start-of-cheat - time-from-end-of-cheat-to-end) fn partOne(is_test_case: bool, debug: bool, allocator: std.mem.Allocator) !u32 { const input_file = try util.getInputFile("20", is_test_case); const data = try util.readAllInputWithAllocator(input_file, allocator); defer allocator.free(data); var map = buildMap(data, allocator); defer allocator.free(map); defer { for (map) |line| { allocator.free(line); } } // Technically slightly inefficient to do it this way, as we could have done it during `buildMap`, but I prefer my // functions to do one-and-only-one thing. const start_point = findPoint(map, 'S'); const end_point = findPoint(map, 'E'); // Cleanup the map so that cheats-to-the-end will still be legal map[end_point.y][end_point.x] = '.'; map[start_point.y][start_point.x] = '.'; log("Start point is {s} and end point is {s}\n", .{ start_point, end_point }, debug); const neighboursFunc = &struct { pub fn func(d: *const [][]u8, point: *Point, alloc: std.mem.Allocator) []Point { var response = std.ArrayList(Point).init(alloc); const ns = point.neighbours(d.*[0].len, d.len, alloc); for (ns) |n| { if (d.*[n.y][n.x] != '#') { response.append(n) catch unreachable; } } alloc.free(ns); return response.toOwnedSlice() catch unreachable; } }.func; var distances_map = util.dijkstra([][]u8, Point, &map, neighboursFunc, start_point, null, debug, allocator); defer distances_map.deinit(); var distances_map_from_end = util.dijkstra([][]u8, Point, &map, neighboursFunc, end_point, null, debug, allocator); defer distances_map_from_end.deinit(); const shortest_non_cheating_path = distances_map.get(end_point).?; var cheats = findCheatsWithMaximumLength(map, 2, allocator); defer cheats.deinit(); var scored_cheats = scoreCheatsWithVariableLength(cheats, shortest_non_cheating_path, distances_map, distances_map_from_end, debug, allocator); defer scored_cheats.deinit(); var total: u32 = 0; var it = scored_cheats.iterator(); const target_speedup: u8 = if (is_test_case) 12 else 100; log("Here are the scored cheats:\n", .{}, debug); while (it.next()) |e| { if (e.value_ptr.* >= target_speedup) { total += 1; } if (e.value_ptr.* > 0) { log("{}: {}\n", .{ e.key_ptr.*, e.value_ptr.* }, debug); } } return total; } const Cheat = struct { start: Point, end: Point, pub fn format(self: Cheat, comptime fmt: []const u8, options: std.fmt.FormatOptions, writer: anytype) !void { _ = fmt; _ = options; try writer.print("[{s},{s}]", .{ self.start, self.end }); } }; fn buildNeighboursFunction(map: *const [][]u8) *const fn (p: *Point, alloc: std.mem.Allocator) []Point { return struct { pub fn call(p: *Point, alloc: std.mem.Allocator) []Point { var responseList = std.ArrayList(Point).init(alloc); const neighbours = p.neighbours(map[0].len, map.len, alloc); for (neighbours) |n| { if (map[n.y][n.x] == '.') { responseList.append(n) catch unreachable; } } alloc.free(neighbours); return responseList.toOwnedSlice(); } }.call; } fn buildMap(data: []const u8, allocator: std.mem.Allocator) [][]u8 { var map_list = std.ArrayList([]u8).init(allocator); var data_iterator = std.mem.splitScalar(u8, data, '\n'); while (data_iterator.next()) |data_line| { var line = std.ArrayList(u8).init(allocator); for (data_line) |c| { line.append(c) catch unreachable; } map_list.append(line.toOwnedSlice() catch unreachable) catch unreachable; } return map_list.toOwnedSlice() catch unreachable; } fn findPoint(data: [][]u8, char: u8) Point { for (data, 0..) |line, y| { for (line, 0..) |c, x| { if (c == char) { return Point{ .x = x, .y = y }; } } } unreachable; } test "partOne" { var gpa = std.heap.GeneralPurposeAllocator(.{}){}; defer _ = gpa.deinit(); const allocator = gpa.allocator(); const response = try partOne(true, true, allocator); print("Found {} sufficiently-speedy cheats for partOne\n", .{response}); try expect(response == 8); } fn partTwo(is_test_case: bool, debug: bool, allocator: std.mem.Allocator) !u32 { const input_file = try util.getInputFile("20", is_test_case); const data = try util.readAllInputWithAllocator(input_file, allocator); defer allocator.free(data); var map = buildMap(data, allocator); defer allocator.free(map); defer { for (map) |line| { allocator.free(line); } } // Technically slightly inefficient to do it this way, as we could have done it during `buildMap`, but I prefer my // functions to do one-and-only-one thing. const start_point = findPoint(map, 'S'); const end_point = findPoint(map, 'E'); // Cleanup the map so that cheats-to-the-end will still be legal map[end_point.y][end_point.x] = '.'; map[start_point.y][start_point.x] = '.'; log("Start point is {s} and end point is {s}\n", .{ start_point, end_point }, debug); const neighboursFunc = &struct { pub fn func(d: *const [][]u8, point: *Point, alloc: std.mem.Allocator) []Point { var response = std.ArrayList(Point).init(alloc); const ns = point.neighbours(d.*[0].len, d.len, alloc); for (ns) |n| { if (d.*[n.y][n.x] != '#') { response.append(n) catch unreachable; } } alloc.free(ns); return response.toOwnedSlice() catch unreachable; } }.func; var distances_map = util.dijkstra([][]u8, Point, &map, neighboursFunc, start_point, null, debug, allocator); defer distances_map.deinit(); var distances_map_from_end = util.dijkstra([][]u8, Point, &map, neighboursFunc, end_point, null, debug, allocator); defer distances_map_from_end.deinit(); const shortest_non_cheating_path = distances_map.get(end_point).?; var cheats = findCheatsWithMaximumLength(map, 20, allocator); defer cheats.deinit(); var scored_cheats = scoreCheatsWithVariableLength(cheats, shortest_non_cheating_path, distances_map, distances_map_from_end, debug, allocator); defer scored_cheats.deinit(); var total: u32 = 0; var it = scored_cheats.iterator(); const target_speedup: u8 = if (is_test_case) 66 else 100; log("Here are the scored cheats:\n", .{}, debug); while (it.next()) |e| { if (e.value_ptr.* >= target_speedup) { total += 1; } if (e.value_ptr.* > 0) { log("{}: {}\n", .{ e.key_ptr.*, e.value_ptr.* }, debug); } } return total; } fn findCheatsWithMaximumLength(map: [][]u8, maximum_length: u32, allocator: std.mem.Allocator) std.AutoHashMap(Cheat, u64) { var output = std.AutoHashMap(Cheat, u64).init(allocator); // Just realized - after running this - that I could probably speed this up by only iterating over the Points that are in the distance maps, // since those are the only valid (non-wall) spaces. Eh - still only took a coupla seconds. Could add that optimization if it mattered! for (map, 0..) |start_line, start_y| { for (start_line, 0..) |start_c, start_x| { for (map, 0..) |end_line, end_y| { for (end_line, 0..) |end_c, end_x| { if (start_c == '.' and end_c == '.') { const cheat = Cheat{ .start = Point{ .x = start_x, .y = start_y }, .end = Point{ .x = end_x, .y = end_y } }; const length_of_cheat = findLengthOfCheat(cheat); if (length_of_cheat <= maximum_length) { output.put(cheat, length_of_cheat) catch unreachable; } } } } } } return output; } fn findLengthOfCheat(cheat: Cheat) u64 { return @as(u64, (if (cheat.start.x > cheat.end.x) cheat.start.x - cheat.end.x else cheat.end.x - cheat.start.x) + (if (cheat.start.y > cheat.end.y) cheat.start.y - cheat.end.y else cheat.end.y - cheat.start.y)); } fn scoreCheatsWithVariableLength(cheats: std.AutoHashMap(Cheat, u64), shortest_non_cheating_path: u32, distances_map: std.AutoHashMap(Point, u32), distances_map_from_end: std.AutoHashMap(Point, u32), debug: bool, allocator: std.mem.Allocator) std.AutoHashMap(Cheat, i128) { var output = std.AutoHashMap(Cheat, i128).init(allocator); var e_it = cheats.iterator(); while (e_it.next()) |e| { output.put(e.key_ptr.*, scoreCheatWithVariableLength(e.key_ptr.*, e.value_ptr.*, shortest_non_cheating_path, distances_map, distances_map_from_end, debug)) catch unreachable; } return output; } // Note - `i128`, rather than `u32`, because a cheat might make the time _longer_! // (And we can't use i64 because the variable cheat-length is a usize, which is u64, so...:shrug: fn scoreCheatWithVariableLength(cheat: Cheat, cheat_length: u64, base_lowest_time: u32, distances_from_start: std.AutoHashMap(Point, u32), distances_from_end: std.AutoHashMap(Point, u32), debug: bool) i128 { const distance_from_start = distances_from_start.get(cheat.start).?; const distance_from_end = distances_from_end.get(cheat.end).?; const total_time_with_cheat = distance_from_start + distance_from_end + cheat_length; log("DEBUG - total_time_with_cheat for {s} is {} - based on {} and {}\n", .{ cheat, total_time_with_cheat, distance_from_start, distance_from_end }, debug); return @as(i128, base_lowest_time) - @as(i128, total_time_with_cheat); } test "partTwo" { var gpa = std.heap.GeneralPurposeAllocator(.{}){}; defer _ = gpa.deinit(); const allocator = gpa.allocator(); const response = try partTwo(true, true, allocator); print("Found {} sufficiently-speedy cheats for partTwo\n", .{response}); try expect(response == 67); }