scubbo/advent-of-code-2024
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Code Issues Pull Requests Packages Projects Releases Wiki Activity

Solutions to part 20

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Jack Jackson 2025-01-23 21:13:47 -08:00
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#...#.#...#...............#.#.#.#.........#.....#...#.#...#...#.#...#...#.#.....#.......#.#.......#.#.#.#.#...#.#.....#.....#.#.#.#...#...#.#
###.#.#.###################.#.#.#.#############.#.###.#.#####.#.#.#####.#.#.###########.#.#######.#.#.#.#.#.###.#.#########.#.#.#.#.#.#.#.#.#
###...#.....................#...#...............#.....#.......#...#####...#.............#.........#...#...#.....#...........#...#...#...#...#
#############################################################################################################################################

226
solutions/20.zig
View File

@ -10,7 +10,7 @@ pub fn main() !void {
defer _ = gpa.deinit();
const allocator = gpa.allocator();
const response = try partOne(false, false, allocator);
const response = try partTwo(false, false, allocator);
print("{}\n", .{response});
}
@ -29,7 +29,7 @@ fn partOne(is_test_case: bool, debug: bool, allocator: std.mem.Allocator) !u32 {
const data = try util.readAllInputWithAllocator(input_file, allocator);
defer allocator.free(data);
const map = buildMap(data, allocator);
var map = buildMap(data, allocator);
defer allocator.free(map);
defer {
for (map) |line| {
@ -41,6 +41,9 @@ fn partOne(is_test_case: bool, debug: bool, allocator: std.mem.Allocator) !u32 {
// 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 {
@ -57,9 +60,45 @@ fn partOne(is_test_case: bool, debug: bool, allocator: std.mem.Allocator) !u32 {
}
}.func;
const shortestPathLength = util.dijkstra([][]u8, Point, &map, neighboursFunc, start_point, end_point, debug, allocator) catch unreachable;
return shortestPathLength;
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).?;
const cheats = findAllPossibleCheats(map, allocator);
defer allocator.free(cheats);
var scored_cheats = scoreCheats(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 {
@ -102,12 +141,187 @@ fn findPoint(data: [][]u8, char: u8) Point {
unreachable;
}
fn findAllPossibleCheats(data: [][]u8, allocator: std.mem.Allocator) []Cheat {
var set = std.AutoHashMap(Cheat, void).init(allocator);
defer set.deinit();
for (data, 0..) |line, y| {
for (line, 0..) |c, x| {
var shouldPrintDebugStatements = false;
if (y == 7 and x == 7) {
shouldPrintDebugStatements = true;
}
log("In 7/7 case\n", .{}, shouldPrintDebugStatements);
if (c != '.') {
continue;
}
if (x + 2 < data[0].len and data[y][x + 2] == '.') {
set.put(Cheat{ .start = Point{ .x = x, .y = y }, .end = Point{ .x = x + 2, .y = y } }, {}) catch unreachable;
}
if (x >= 2 and data[y][x - 2] == '.') {
set.put(Cheat{ .start = Point{ .x = x, .y = y }, .end = Point{ .x = x - 2, .y = y } }, {}) catch unreachable;
} else {}
if (y + 2 < data.len and data[y + 2][x] == '.') {
set.put(Cheat{ .start = Point{ .x = x, .y = y }, .end = Point{ .x = x, .y = y + 2 } }, {}) catch unreachable;
}
if (y >= 2 and data[y - 2][x] == '.') {
set.put(Cheat{ .start = Point{ .x = x, .y = y }, .end = Point{ .x = x, .y = y - 2 } }, {}) catch unreachable;
}
}
}
var output = std.ArrayList(Cheat).init(allocator);
var set_iter = set.keyIterator();
while (set_iter.next()) |p| {
output.append(p.*) catch unreachable;
}
return output.toOwnedSlice() catch unreachable;
}
fn scoreCheats(cheats: []Cheat, base_lowest_time: u32, distances_from_start: std.AutoHashMap(Point, u32), distances_from_end: std.AutoHashMap(Point, u32), debug: bool, allocator: std.mem.Allocator) std.AutoHashMap(Cheat, i64) {
var output = std.AutoHashMap(Cheat, i64).init(allocator);
for (cheats) |cheat| {
output.put(cheat, scoreCheat(cheat, base_lowest_time, distances_from_start, distances_from_end, debug)) catch unreachable;
}
return output;
}
// Note - `i64`, rather than `u32`, because a cheat might make the time _longer_!
fn scoreCheat(cheat: Cheat, base_lowest_time: u32, distances_from_start: std.AutoHashMap(Point, u32), distances_from_end: std.AutoHashMap(Point, u32), debug: bool) i64 {
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 + 2;
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(i64, base_lowest_time) - @as(i64, total_time_with_cheat);
}
test "partOne" {
var gpa = std.heap.GeneralPurposeAllocator(.{}){};
defer _ = gpa.deinit();
const allocator = gpa.allocator();
const response = try partOne(true, true, allocator);
print("{}\n", .{response});
try expect(response == 84);
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);
}

32
solutions/util.zig
View File

@ -134,10 +134,11 @@ pub fn log(comptime message: []const u8, args: anytype, debug: bool) void {
}
}
// Basic implementation of Dijkstra - given start and end, find the length of the shortest path that joins them.
// Basic implementation of Dijkstra - given start and end, explore until a shortest path is found to `end`.
// Assumes that all links have cost 1.
const DijkstraError = error{NoPathFound};
// Returns distances rather than the length of the path because that's often useful. In particular, pass `null` as `end`
// to get minimum distances from `start` to _every_ node.
//
// Zig does not really support the passing-in of bare anonymous functions that depend on higher-level variables - you'll
// get errors like `'<variable-name>' not accessible from inner function` or `crossing function boundary`.
//
@ -147,12 +148,11 @@ const DijkstraError = error{NoPathFound};
// So, instead of passing in a nicely-encapsulated partial-application `getNeighbours` which _just_ takes a `node_type`, it needs to take in the data as well. Blech.
//
// (Check out the implementation at commit `d85d29` to see what it looked like before this change!)
pub fn dijkstra(comptime data_type: type, comptime node_type: type, data: *const data_type, getNeighbours: *const fn (d: *const data_type, n: *node_type, allocator: std.mem.Allocator) []node_type, start: node_type, end: node_type, debug: bool, allocator: std.mem.Allocator) DijkstraError!u32 {
pub fn dijkstra(comptime data_type: type, comptime node_type: type, data: *const data_type, getNeighbours: *const fn (d: *const data_type, n: *node_type, allocator: std.mem.Allocator) []node_type, start: node_type, end: ?node_type, debug: bool, allocator: std.mem.Allocator) std.AutoHashMap(node_type, u32) {
var visited = std.AutoHashMap(node_type, void).init(allocator);
defer visited.deinit();
var distances = std.AutoHashMap(node_type, u32).init(allocator);
defer distances.deinit();
distances.put(start, 0) catch unreachable;
// Not strictly necessary - we could just iterate over all keys of `distances` and filter out those that are
@ -162,7 +162,7 @@ pub fn dijkstra(comptime data_type: type, comptime node_type: type, data: *const
defer unvisited_candidates.deinit();
unvisited_candidates.put(start, {}) catch unreachable;
return while (true) {
while (true) {
var cand_it = unvisited_candidates.keyIterator();
var curr: node_type = undefined;
var lowest_distance_found: u32 = std.math.maxInt(u32);
@ -181,14 +181,14 @@ pub fn dijkstra(comptime data_type: type, comptime node_type: type, data: *const
}
if (lowest_distance_found == std.math.maxInt(u32)) {
log("ERROR - iterated over all candidates, but found none with non-infinite distance", .{}, debug);
break DijkstraError.NoPathFound;
log("Iterated over all candidates, but found none with non-infinite distance\n", .{}, debug);
break;
}
log("Settled on {s} as the new curr", .{curr}, debug);
if (std.meta.eql(curr, end)) {
if (end != null and std.meta.eql(curr, end.?)) {
log(" and that is the target, so we're done!\n", .{}, debug);
break lowest_distance_found;
break;
} else {
log(" - now exploring its neighbours\n", .{}, debug);
}
@ -217,7 +217,9 @@ pub fn dijkstra(comptime data_type: type, comptime node_type: type, data: *const
visited.put(curr, {}) catch unreachable;
_ = unvisited_candidates.remove(curr);
log("{s} has now been fully visited - loop begins again\n", .{curr}, debug);
};
}
return distances;
}
test "Dijkstra" {
@ -269,9 +271,11 @@ test "Dijkstra" {
}
}.func;
const result = dijkstra([]u8, Point, &data, neighboursFunc, start, end, false, allocator) catch unreachable;
// print("Dijkstra result is {}\n", .{result});
try expect(result == 84);
var result = dijkstra([]u8, Point, &data, neighboursFunc, start, end, false, allocator);
defer result.deinit();
const distance = result.get(end).?;
print("Dijkstra result is {}\n", .{distance});
try expect(distance == 84);
}
test {