day 15, 16

This commit is contained in:
2024-12-17 01:29:43 +01:00
parent 081f5594fe
commit 64b22c52d3
2 changed files with 430 additions and 0 deletions

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15/main.ml Normal file
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open Printf;;
let rec list_of_lines in_file =
try
let line = input_line in_file in
line :: list_of_lines(in_file)
with End_of_file ->
close_in in_file;
[]
let lines_to_2d_array lines =
let size_x = String.length @@ List.hd lines in
let size_y = List.length lines in
let arr = Array.make_matrix size_x size_y '?' in
List.iteri (fun j line -> String.iteri (fun i c -> arr.(j).(i) <- c) line) lines;
arr
let rec take_nonempty_lines lines =
match lines with
| head :: tail ->
if String.length head = 0 then
([], tail)
else
let rest_of_list, remaining_lines = take_nonempty_lines tail in
(head :: rest_of_list, remaining_lines)
| _ -> ([], lines)
let print_layout arr =
arr
|> Array.iter (fun row -> row
|> Array.iter (fun x -> print_char x);
print_endline "")
let rec find_index_inner elem arr pos =
try
if arr.(pos) = elem then
Some pos
else
find_index_inner elem arr (pos + 1)
with Invalid_argument _ -> None
let find_index elem arr =
find_index_inner elem arr 0
let rec find_index_2d_inner elem arr pos =
try
match find_index elem arr.(pos) with
| Some pos_x -> Some (pos_x, pos)
| None -> find_index_2d_inner elem arr (pos + 1)
with Invalid_argument _ -> None
let find_index_2d elem arr =
find_index_2d_inner elem arr 0
let get_dir_vector dir =
match dir with
| '<' -> (-1, 0)
| '>' -> (1, 0)
| '^' -> (0, -1)
| 'v' -> (0, 1)
| _ -> raise (Invalid_argument "Invalid direction")
let add_int_pair (x1, y1) (x2, y2) =
(x1 + x2, y1 + y2)
let rec skip_through_boxes (x, y) (dir_x, dir_y) arr =
if arr.(y).(x) <> 'O' then
(x, y)
else
let new_pos = add_int_pair (x, y) (dir_x, dir_y) in
skip_through_boxes new_pos (dir_x, dir_y) arr
let robot_move arr pos dir =
let dir_vector = get_dir_vector dir in
let new_pos = add_int_pair pos dir_vector in
let pos_behind_boxes = skip_through_boxes new_pos dir_vector arr in
if arr.(snd pos_behind_boxes).(fst pos_behind_boxes) <> '#' then begin
arr.(snd pos).(fst pos) <- '.';
arr.(snd new_pos).(fst new_pos) <- '@';
if new_pos <> pos_behind_boxes then
arr.(snd pos_behind_boxes).(fst pos_behind_boxes) <- 'O';
new_pos
end else
pos
let process_warehouse_tile c =
match c with
| '#' -> ['#'; '#']
| 'O' -> ['['; ']']
| '.' -> ['.'; '.']
| '@' -> ['@'; '.']
| _ -> raise (Invalid_argument "Invalid tile")
let process_warehouse arr =
arr
|> Array.map (fun row -> row
|> Array.map process_warehouse_tile
|> Array.to_seq
|> List.of_seq
|> List.concat
|> List.to_seq
|> Array.of_seq
)
let rec try_push_horizontal (x, y) dir_x arr =
let next_elem = arr.(y).(x) in
if next_elem = '#' then
false
else if next_elem = '.' then
true
else
let new_pos = (x + dir_x * 2, y) in
if try_push_horizontal new_pos dir_x arr then begin
let intermediate_pos = (x + dir_x, y) in
arr.(snd new_pos).(fst new_pos) <- arr.(snd intermediate_pos).(fst intermediate_pos);
arr.(snd intermediate_pos).(fst intermediate_pos) <- next_elem;
true
end else
false
let rec possible_to_push_box_vertical (x, y) dir_y arr =
let new_y = y + dir_y in
possible_to_push_vertical (x, new_y) dir_y arr
&& possible_to_push_vertical (x + 1, new_y) dir_y arr
and possible_to_push_vertical (x, y) dir_y arr =
let next_elem = arr.(y).(x) in
if next_elem = '#' then
false
else if next_elem = '.' then
true
else if next_elem = '[' then
possible_to_push_box_vertical (x, y) dir_y arr
else
possible_to_push_box_vertical (x - 1, y) dir_y arr
let rec do_push_box_vertical (x, y) dir_y arr =
let new_y = y + dir_y in begin
do_push_vertical (x, new_y) dir_y arr;
do_push_vertical (x + 1, new_y) dir_y arr;
arr.(new_y).(x) <- '[';
arr.(new_y).(x + 1) <- ']';
arr.(y).(x) <- '.';
arr.(y).(x + 1) <- '.'
end
and do_push_vertical (x, y) dir_y arr =
let next_elem = arr.(y).(x) in
if next_elem = '#' || next_elem = '.' then
()
else if next_elem = '[' then
do_push_box_vertical (x, y) dir_y arr
else
do_push_box_vertical (x - 1, y) dir_y arr
let try_push pos (dir_x, dir_y) arr =
if dir_y = 0 then
try_push_horizontal pos dir_x arr
else
if possible_to_push_vertical pos dir_y arr then begin
do_push_vertical pos dir_y arr;
true
end else
false
let robot_move_alt arr pos dir =
let dir_vector = get_dir_vector dir in
let new_pos = add_int_pair pos dir_vector in
if try_push new_pos dir_vector arr then begin
arr.(snd new_pos).(fst new_pos) <- '@';
arr.(snd pos).(fst pos) <- '.';
new_pos
end else begin
pos
end
let array_copy_2d arr =
Array.init (Array.length arr) (fun i -> Array.copy arr.(i))
let find_all_indices_of elem arr =
arr |> Array.to_seq
|> Seq.mapi (fun i x -> (i, x))
|> Seq.filter_map (fun (i, x) -> if x = elem then Some i else None)
let find_all_indices_of_2d elem arr =
arr |> Array.to_seq
|> Seq.mapi (fun j row -> Seq.map (fun i -> (i, j)) (find_all_indices_of elem row))
|> Seq.concat
let get_gps_index (x, y) =
x + 100 * y
let () =
let f = open_in "input.txt" in
let layout_lines, remaining_lines = take_nonempty_lines @@ list_of_lines f in
let arr = lines_to_2d_array layout_lines in
let moves = String.concat "" remaining_lines in
let pos = find_index_2d '@' arr |> Option.get in
let warehouse1 = array_copy_2d arr in
let _ = String.fold_left (robot_move warehouse1) pos moves in
let result = warehouse1
|> find_all_indices_of_2d 'O'
|> Seq.map get_gps_index
|> Seq.fold_left Int.add 0 in
printf "%d\n" result;
let warehouse2 = process_warehouse arr in
let pos2 = find_index_2d '@' warehouse2 |> Option.get in
let _ = String.fold_left (robot_move_alt warehouse2) pos2 moves in
let result2 = warehouse2
|> find_all_indices_of_2d '['
|> Seq.map get_gps_index
|> Seq.fold_left Int.add 0 in
printf "%d\n" result2

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open Printf;;
let rec list_of_lines in_file =
try
let line = input_line in_file in
line :: list_of_lines(in_file)
with End_of_file ->
close_in in_file;
[]
let lines_to_2d_array lines =
let size_x = String.length @@ List.hd lines in
let size_y = List.length lines in
let arr = Array.make_matrix size_y size_x '?' in
List.iteri (fun j line -> String.iteri (fun i c -> arr.(j).(i) <- c) line) lines;
arr
let print_layout arr =
arr
|> Array.iter (fun row -> row
|> Array.iter (fun x -> print_char x);
print_endline "")
let rec find_index_inner elem arr pos =
try
if arr.(pos) = elem then
Some pos
else
find_index_inner elem arr (pos + 1)
with Invalid_argument _ -> None
let find_index elem arr =
find_index_inner elem arr 0
let rec find_index_2d_inner elem arr pos =
try
match find_index elem arr.(pos) with
| Some pos_x -> Some (pos_x, pos)
| None -> find_index_2d_inner elem arr (pos + 1)
with Invalid_argument _ -> None
let find_index_2d elem arr =
find_index_2d_inner elem arr 0
let add_int_pair (x1, y1) (x2, y2) =
(x1 + x2, y1 + y2)
let array_copy_2d arr =
Array.init (Array.length arr) (fun i -> Array.copy arr.(i))
let find_all_indices_of elem arr =
arr |> Array.to_seq
|> Seq.mapi (fun i x -> (i, x))
|> Seq.filter_map (fun (i, x) -> if x = elem then Some i else None)
let find_all_indices_of_2d elem arr =
arr |> Array.to_seq
|> Seq.mapi (fun j row -> Seq.map (fun i -> (i, j)) (find_all_indices_of elem row))
|> Seq.concat
let rec chain_comparison comp1 comp2 arg1 arg2 =
match comp1 arg1 arg2 with
| 0 -> comp2 arg1 arg2
| c -> c
type maze_walk_state = {
pos: (int * int);
dir: char;
score: int
}
module MazeWalkState =
struct
type t = maze_walk_state
let compare arg0 arg1 =
chain_comparison (fun arg1 arg2 -> Stdlib.compare arg1.score arg2.score) (
chain_comparison (fun arg1 arg2 -> Stdlib.compare (fst arg1.pos) (fst arg2.pos)) (
chain_comparison (fun arg1 arg2 -> Stdlib.compare (snd arg1.pos) (snd arg2.pos))
(fun arg1 arg2 -> Stdlib.compare arg1.dir arg2.dir)
)
) arg0 arg1
end
module MazeWalkStateSet = Set.Make(MazeWalkState)
module IntMap = Map.Make(Int)
module IntSet = Set.Make(Int)
let get_dir_vector dir =
match dir with
| '<' -> (-1, 0)
| '>' -> (1, 0)
| '^' -> (0, -1)
| 'v' -> (0, 1)
| _ -> raise (Invalid_argument "Invalid direction")
let rotate_dir_right dir =
match dir with
| '<' -> '^'
| '>' -> 'v'
| '^' -> '>'
| 'v' -> '<'
| _ -> raise (Invalid_argument "Invalid direction")
let rotate_dir_left dir =
match dir with
| '<' -> 'v'
| '>' -> '^'
| '^' -> '<'
| 'v' -> '>'
| _ -> raise (Invalid_argument "Invalid direction")
let rotate_dir_back dir =
match dir with
| '<' -> '>'
| '>' -> '<'
| '^' -> 'v'
| 'v' -> '^'
| _ -> raise (Invalid_argument "Invalid direction")
let walk_forward state =
{state with pos = add_int_pair state.pos (get_dir_vector state.dir); score = state.score + 1 }
let turn_right state =
walk_forward {state with score = state.score + 1000; dir = rotate_dir_right state.dir}
let turn_left state =
walk_forward {state with score = state.score + 1000; dir = rotate_dir_left state.dir}
let dir_index dir =
match dir with
| '<' -> 0
| '>' -> 1
| '^' -> 2
| 'v' -> 3
| _ -> raise (Invalid_argument "Invalid direction")
let generate_next_moves maze state =
[walk_forward state; turn_left state; turn_right state]
|> List.filter (fun state -> let (x, y) = state.pos in maze.(y).(x) <> '#')
let get_state_index maze {pos=(x, y); dir=dir; score=_} =
((Array.length maze) * x + y) * 4 + (dir_index dir)
let state_index_remove_rotation state_index =
state_index / 4
let decode_position_index maze position_index =
let height = Array.length maze in
(position_index / height, position_index mod height)
let add_prev maze prev_state next_state prev_move_map =
let prev_index = get_state_index maze prev_state in
let next_index = get_state_index maze next_state in
let update_fun lst_opt =
match lst_opt with
| Some (score, lst) ->
if next_state.score = score then
Some (score, prev_index :: lst)
else if next_state.score < score then
Some (next_state.score, [prev_index])
else
Some (score, lst)
| None -> Some (next_state.score, [prev_index]) in
IntMap.update next_index update_fun prev_move_map
let worse_than_final_score final_score_opt score =
match final_score_opt with
| Some final_score -> score > final_score
| None -> false
let rec dijkstra_find_path maze visited_array end_pos final_score_opt prev_move_map next_move_queue =
match MazeWalkStateSet.min_elt_opt next_move_queue with
| Some state ->
let queue_with_removed = MazeWalkStateSet.remove state next_move_queue in
if visited_array.(get_state_index maze state) then
dijkstra_find_path maze visited_array end_pos final_score_opt prev_move_map queue_with_removed
else
if worse_than_final_score final_score_opt state.score then
(Option.get final_score_opt, prev_move_map)
else begin
visited_array.(get_state_index maze state) <- true;
let next_states = generate_next_moves maze state in
let new_prev_move_map = List.fold_left (fun map s -> add_prev maze state s map) prev_move_map next_states in
let solution_states = List.filter (fun s -> s.pos = end_pos) next_states in
if List.length solution_states > 0 then
let final_score = (List.hd solution_states).score in
dijkstra_find_path maze visited_array end_pos (Some final_score) new_prev_move_map queue_with_removed
else
let new_queue = List.fold_left (fun queue s -> MazeWalkStateSet.add s queue) queue_with_removed next_states in
dijkstra_find_path maze visited_array end_pos final_score_opt new_prev_move_map new_queue
end
| None -> (-1, prev_move_map)
let rec backtrack_and_fill_position_set prev_move_map state_index pos_set =
let new_pos_set = IntSet.add (state_index_remove_rotation state_index) pos_set in
match IntMap.find_opt state_index prev_move_map with
| Some (_, prev_list) ->
List.fold_left (fun set idx -> backtrack_and_fill_position_set prev_move_map idx set) new_pos_set prev_list
| None -> new_pos_set
let count_tiles_on_best_paths maze end_pos prev_move_map =
['<'; '>'; '^'; 'v']
|> List.map (fun dir -> get_state_index maze {pos=end_pos; dir=dir; score=0})
|> List.fold_left (fun set state_index -> backtrack_and_fill_position_set prev_move_map state_index set) IntSet.empty
let find_best_path maze start_pos end_pos =
let visited_array = Array.make ((Array.length maze) * (Array.length maze.(0) * 4)) false in
let start_state = {pos=start_pos; dir='>'; score=0} in
dijkstra_find_path maze visited_array end_pos None IntMap.empty (MazeWalkStateSet.add start_state MazeWalkStateSet.empty)
let () =
let f = open_in "input.txt" in
let maze = lines_to_2d_array @@ list_of_lines f in
let start_pos = find_index_2d 'S' maze |> Option.get in
let end_pos = find_index_2d 'E' maze |> Option.get in
let (result, prev_move_map) = find_best_path maze start_pos end_pos in
let result2 = prev_move_map |> count_tiles_on_best_paths maze end_pos |> IntSet.cardinal in
printf "%d\n%d\n" result result2