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refactoring of BFS functions

This commit is contained in:
Alexandre 2024-11-07 21:17:55 +01:00
parent a7da366a02
commit e74af821f2
6 changed files with 140 additions and 166 deletions
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bin/main
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input_test.txt
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@ -1,19 +1,19 @@
3.7 3.7
0 0
7 11 7 11
0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0
0 0 0 0 2 0 2 0 2 0 0 0 1 2 1 2 1 2 1 2 1 0
0 0 0 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 0 2 2 2
0 0 2 0 2 0 2 0 2 0 2 2 1 0 1 2 1 2 1 2 1 0
3 3 3 0 0 0 2 2 4 4 0 2 2 2 2 2 2 2 2 2 2 2
0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 1 2 1 0 1 0
0 0 0 2 2 2 2 3 3 2 0 0 0 2 2 2 2 2 2 2 0 0
3 3
3 2 4 4.1 3 2 4 4.1
4 4 2 4.3 4 4 2 4.3
0 0 3 5.5 8 6 3 5.5
5 5
2 2 0 3 2 4 5 3 0 1 0 3 2 4 5 3
2 0 1 4 3 2 2 2 2 0 1 4 3 2 2 2
10 5 2 0 2 3 2 3 10 5 2 0 2 3 2 3
5 5 3 5 1 10 2 3 5 5 3 5 1 10 2 3

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main.ml
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@ -3,6 +3,7 @@
let debug = false ;; let debug = false ;;
let fatal_time = 1.0 ;; let fatal_time = 1.0 ;;
let explosion_time = 1.5 ;;
(* ---------------------------------------------------------------------------------------------------------------------------------------------------- *) (* ---------------------------------------------------------------------------------------------------------------------------------------------------- *)
(* ---------------------------------------------------------------------------------------------------------------------------------------------------- *) (* ---------------------------------------------------------------------------------------------------------------------------------------------------- *)
@ -73,28 +74,30 @@ type game_data = {
mutable boosts : boost array ; mutable boosts : boost array ;
} }
type danger = Safe | Danger | Fatal | Blocked ;; type danger = Safe | Danger of float | Fatal of float | Blocked ;;
let int_of_danger = function let int_of_danger = function
| Safe -> 0 | Safe -> 0
| Danger -> 1 | Danger _ -> 1
| Fatal -> 2 | Fatal _ -> 2
| Blocked -> 3 ;; | Blocked -> 3 ;;
let danger_of_int = function let danger_of_int t = function
| 0 -> Safe | 0 -> Safe
| 1 -> Danger | 1 -> Danger t
| 2 -> Fatal | 2 -> Fatal t
| _ -> Blocked ;; | _ -> Blocked ;;
type moveType = EscapeDeath | BlowUpCrates | KillPlayers | ClaimLand ;; type moveType = EscapeDeath | BlowUpCrates | KillPlayers | ClaimLand ;;
exception ReturnInt of int ;; exception ReturnInt of int ;;
exception ReturnBool of bool ;;
(* ---------------------------------------------------------------------------------------------------------------------------------------------------- *) (* ---------------------------------------------------------------------------------------------------------------------------------------------------- *)
(* ---------------------------------------------------------------------------------------------------------------------------------------------------- *) (* ---------------------------------------------------------------------------------------------------------------------------------------------------- *)
let current_status = ref BlowUpCrates ;; let current_status = ref BlowUpCrates ;;
let action = ref 0 ;;
let equal_pt (p1 : pt) (p2 : pt) = let equal_pt (p1 : pt) (p2 : pt) =
p1.x = p2.x && p1.y = p2.y ;; p1.x = p2.x && p1.y = p2.y ;;
@ -115,6 +118,10 @@ let print_direction = function
| 4 -> Printf.printf "STILL " | 4 -> Printf.printf "STILL "
| _-> failwith "ERROR : invalid direction" ;; | _-> failwith "ERROR : invalid direction" ;;
let level_of_danger = function
| Danger k | Fatal k -> k
| _ -> 32768. ;;
(* ---------------------------------------------------------------------------------------------------------------------------------------------------- *) (* ---------------------------------------------------------------------------------------------------------------------------------------------------- *)
(* ---------------------------------------------------------------------------------------------------------------------------------------------------- *) (* ---------------------------------------------------------------------------------------------------------------------------------------------------- *)
@ -150,8 +157,8 @@ let print_danger_levels (map : danger array array) =
match map.(l).(c) with match map.(l).(c) with
| Blocked -> Printf.printf "@ " | Blocked -> Printf.printf "@ "
| Safe -> Printf.printf ". " | Safe -> Printf.printf ". "
| Danger -> Printf.printf "! " | Danger _ -> Printf.printf "! "
| Fatal -> Printf.printf "X " | Fatal _ -> Printf.printf "X "
done; done;
Printf.printf "\n" Printf.printf "\n"
done ;; done ;;
@ -251,11 +258,11 @@ let parse_input (str : string) =
(* ---------------------------------------------------------------------------------------------------------------------------------------------------- *) (* ---------------------------------------------------------------------------------------------------------------------------------------------------- *)
let warn_level (b : bomb) (ct : float) = match (b.det_time -. ct) with let warn_level (b : bomb) (ct : float) = match (b.det_time -. ct) with
| k when k < fatal_time -> Fatal ; | k when k < fatal_time -> Fatal b.det_time ;
| _ -> Danger ;; | _ -> Danger b.det_time ;;
let danger_priority (p1 : danger) (p2 : danger) = let danger_priority (p1 : danger) (p2 : danger) =
danger_of_int (max (int_of_danger p1) (int_of_danger p2)) ;; danger_of_int (min (level_of_danger p1) (level_of_danger p2)) (max (int_of_danger p1) (int_of_danger p2)) ;;
let order = [|(1, 0); (-1, 0); (0, 1); (0, -1)|] ;; let order = [|(1, 0); (-1, 0); (0, 1); (0, -1)|] ;;
let evaluate_dangers (gd : game_data) = let evaluate_dangers (gd : game_data) =
@ -271,35 +278,6 @@ let evaluate_dangers (gd : game_data) =
done done
done ; done ;
(* add players as warning (in case they bomb) *)
for p = 0 to gd.nplayers -1 do
if p <> gd.player_id then begin
let halt = ref false in
let bx = gd.players.(p).xy.x
and by = gd.players.(p).xy.y in
for dir = 0 to 3 do
for w = 0 to gd.players.(p).bomb_radius do
let cx = bx + w*(fst order.(dir))
and cy = by + w*(snd order.(dir)) in
if not !halt && is_valid (cx) (cy) lines cols then begin
if gd.laby.(cx).(cy) = 1 then (* bedrock *)
halt := true ;
if gd.laby.(cx).(cy) = 2 then begin (* crate *)
halt := true ;
res.(cx).(cy) <- danger_priority res.(cx).(cy) Danger ;
end
else begin
res.(cx).(cy) <- danger_priority res.(cx).(cy) Danger ;
end
end
done;
halt := false ;
done
end
done;
(* sort bombs based on detonation time *) (* sort bombs based on detonation time *)
for b = 0 to gd.nbombs -1 do for b = 0 to gd.nbombs -1 do
let m = ref gd.bombs.(b).det_time let m = ref gd.bombs.(b).det_time
@ -349,13 +327,14 @@ let evaluate_dangers (gd : game_data) =
(* ---------------------------------------------------------------------------------------------------------------------------------------------------- *) (* ---------------------------------------------------------------------------------------------------------------------------------------------------- *)
let is_safe = function let is_safe = function
| Safe | Danger -> true | Safe | Danger _ -> true
| Fatal | Blocked -> false ;; | Fatal _ | Blocked -> false ;;
let move_safe (gd : game_data) (dgs : danger array array) = let move_safe (gd : game_data) (dgs : danger array array) =
(* use this whenever you are standing on a non-safe tile *) (* use this whenever you are standing on a non-safe tile *)
(* Strat : find the closest safe tile (or warning tile if there are no reachable safe tile) *) (* Strat : find the shortest, safest path *)
let pid = gd.player_id in let pid = gd.player_id in
let interval = Float.pow 0.9 (float_of_int gd.players.(pid).nspeed) in
let lines = Array.length gd.laby let lines = Array.length gd.laby
and cols = Array.length gd.laby.(0) in and cols = Array.length gd.laby.(0) in
@ -367,73 +346,44 @@ let move_safe (gd : game_data) (dgs : danger array array) =
if dgs.(cx).(cy) = Safe then if dgs.(cx).(cy) = Safe then
raise (ReturnInt 4) ; raise (ReturnInt 4) ;
let q = Queue.create () in
let visited = Hashtbl.create 100 in let visited = Hashtbl.create 100 in
(* 1. try not to walk on fatal tiles *) let has_a_safe_path (cx0 : int) (cy0 : int) (simt : float) (vid : int) =
if debug then Printf.printf "[escape] Attempt 1/3...\n"; let q = Queue.create () in
if cx <> 0 && is_safe dgs.(cx-1).(cy) then (* North *) Queue.add (cx-1, cy, 0) q ; Queue.add (cx0, cy0, simt) q ; (* everything added to q has valid coords *)
if cx <> lines -1 && is_safe dgs.(cx+1).(cy) then (* South *) Queue.add (cx+1, cy, 2) q ; if debug then Printf.printf "[escape] Attempt %d/4...\n" vid ;
if cy <> 0 && is_safe dgs.(cx).(cy-1) then (* West *) Queue.add (cx, cy-1, 3) q ; try
if cy <> cols -1 && is_safe dgs.(cx).(cy+1) then (* East *) Queue.add (cx, cy+1, 1) q ;
while not (Queue.is_empty q) do while not (Queue.is_empty q) do
let (cx, cy, dir) = Queue.pop q in let (cx, cy, cur_t) = Queue.pop q in
Hashtbl.add visited (cx, cy, 1) 1 ; if Hashtbl.find_opt visited (cx, cy, vid) <> None then () else begin
Hashtbl.add visited (cx, cy, vid) 1 ;
if dgs.(cx).(cy) = Safe then if dgs.(cx).(cy) = Safe then
raise (ReturnInt dir) raise (ReturnBool true)
else begin else if dgs.(cx).(cy) = Blocked then
(* add neighbors *) ()
if cx <> 0 && Hashtbl.find_opt visited (cx-1, cy, 1) = None && is_safe dgs.(cx-1).(cy) then (* North *) Queue.add (cx-1, cy, dir) q ; else begin (* either danger or fatal *)
if cx <> lines -1 && Hashtbl.find_opt visited (cx+1, cy, 1) = None && is_safe dgs.(cx+1).(cy) then (* South *) Queue.add (cx+1, cy, dir) q ; let dang_time = level_of_danger dgs.(cx).(cy) in
if cy <> 0 && Hashtbl.find_opt visited (cx, cy-1, 1) = None && is_safe dgs.(cx).(cy-1) then (* West *) Queue.add (cx, cy-1, dir) q ; for dir = 0 to 3 do
if cy <> cols -1 && Hashtbl.find_opt visited (cx, cy+1, 1) = None && is_safe dgs.(cx).(cy+1) then (* East *) Queue.add (cx, cy+1, dir) q ; let newx = cx + fst order.(dir)
and newy = cy + snd order.(dir)
and newt = cur_t +. interval in
if (is_valid newx newy lines cols) && not (newt > dang_time && newt < dang_time +. explosion_time) then
Queue.add (newx, newy, newt) q
done
end
end end
done; done;
false
with
| ReturnBool b -> b
in
(* 2. find the path that get you off fatal tiles ASAP *) if is_valid (cx+1) (cy) lines cols && has_a_safe_path (cx+1) (cy) gd.dt 0 then raise (ReturnInt 2) ; (* South *)
if debug then Printf.printf "[escape] Attempt 2/3...\n"; if is_valid (cx-1) (cy) lines cols && has_a_safe_path (cx-1) (cy) gd.dt 1 then raise (ReturnInt 0) ; (* North *)
if cx <> 0 && dgs.(cx-1).(cy) <> Blocked then (* North *) Queue.add (cx-1, cy, 0) q ; if is_valid (cx) (cy+1) lines cols && has_a_safe_path (cx) (cy+1) gd.dt 2 then raise (ReturnInt 1) ; (* East *)
if cx <> lines -1 && dgs.(cx+1).(cy) <> Blocked then (* South *) Queue.add (cx+1, cy, 2) q ; if is_valid (cx) (cy-1) lines cols && has_a_safe_path (cx) (cy-1) gd.dt 3 then raise (ReturnInt 3) ; (* West *)
if cy <> 0 && dgs.(cx).(cy-1) <> Blocked then (* West *) Queue.add (cx, cy-1, 3) q ;
if cy <> cols -1 && dgs.(cx).(cy+1) <> Blocked then (* East *) Queue.add (cx, cy+1, 1) q ;
while not (Queue.is_empty q) do (* you're probably dead if the code reaches here... *)
let (cx, cy, dir) = Queue.pop q in
Hashtbl.add visited (cx, cy, 2) 1 ;
if dgs.(cx).(cy) = Safe then
raise (ReturnInt dir)
else begin
(* add neighbors *)
if cx <> 0 && Hashtbl.find_opt visited (cx-1, cy, 2) = None && dgs.(cx-1).(cy) <> Blocked then (* North *) Queue.add (cx-1, cy, dir) q ;
if cx <> lines -1 && Hashtbl.find_opt visited (cx+1, cy, 2) = None && dgs.(cx+1).(cy) <> Blocked then (* South *) Queue.add (cx+1, cy, dir) q ;
if cy <> 0 && Hashtbl.find_opt visited (cx, cy-1, 2) = None && dgs.(cx-1).(cy) <> Blocked then (* West *) Queue.add (cx, cy-1, dir) q ;
if cy <> cols -1 && Hashtbl.find_opt visited (cx, cy+1, 2) = None && dgs.(cx).(cy+1) <> Blocked then (* East *) Queue.add (cx, cy+1, dir) q ;
end
done;
(* 3. no safe tile within reach (very rare), look out for warning *)
if debug then Printf.printf "[escape] Attempt 3/3...\n";
if cx <> 0 && dgs.(cx-1).(cy) <> Blocked then (* North *) Queue.add (cx-1, cy, 0) q ;
if cx <> lines -1 && dgs.(cx+1).(cy) <> Blocked then (* South *) Queue.add (cx+1, cy, 2) q ;
if cy <> 0 && dgs.(cx).(cy-1) <> Blocked then (* West *) Queue.add (cx, cy-1, 3) q ;
if cy <> cols -1 && dgs.(cx).(cy+1) <> Blocked then (* East *) Queue.add (cx, cy+1, 1) q ;
while not (Queue.is_empty q) do
let (cx, cy, dir) = Queue.pop q in
Hashtbl.add visited (cx, cy, 3) 1 ;
if dgs.(cx).(cy) = Danger then
raise (ReturnInt dir)
else begin
(* add neighbors *)
if cx <> 0 && Hashtbl.find_opt visited (cx-1, cy, 3) = None && dgs.(cx-1).(cy) <> Blocked then (* North *) Queue.add (cx-1, cy, dir) q ;
if cx <> lines -1 && Hashtbl.find_opt visited (cx+1, cy, 3) = None && dgs.(cx+1).(cy) <> Blocked then (* South *) Queue.add (cx+1, cy, dir) q ;
if cy <> 0 && Hashtbl.find_opt visited (cx, cy-1, 3) = None && dgs.(cx-1).(cy) <> Blocked then (* West *) Queue.add (cx, cy-1, dir) q ;
if cy <> cols -1 && Hashtbl.find_opt visited (cx, cy+1, 3) = None && dgs.(cx).(cy+1) <> Blocked then (* East *) Queue.add (cx, cy+1, dir) q ;
end
done;
(* you're probably dead if the code reaches here *)
if debug then Printf.printf "[escape] Attempt F...\n"; if debug then Printf.printf "[escape] Attempt F...\n";
4 4
with with
@ -445,67 +395,83 @@ let move_safe (gd : game_data) (dgs : danger array array) =
let move_explore (gd: game_data) (dgs : danger array array) = let move_explore (gd: game_data) (dgs : danger array array) =
(* destroy crates *) (* destroy crates *)
let pid = gd.player_id in let pid = gd.player_id in
let interval = Float.pow 0.9 (float_of_int gd.players.(pid).nspeed) in
let lines = Array.length gd.laby let lines = Array.length gd.laby
and cols = Array.length gd.laby.(0) in and cols = Array.length gd.laby.(0) in
(* find nearest crate and blow it up *) (* find nearest crate and blow it up *)
try try
let q = Queue.create () in let (cx, cy) = (gd.players.(pid).xy.x, gd.players.(pid).xy.y) in
let visited = Hashtbl.create 100 in let visited = Hashtbl.create 100 in
let (cx, cy) = (gd.players.(pid).xy.x, gd.players.(pid).xy.y) in
(* O. if there's a crate right next to you, blow it up *)
if cx <> 0 && gd.laby.(cx-1).(cy) = 2 then (* North *) begin current_status := EscapeDeath; raise (ReturnInt 4) end ;
if cx <> lines -1 && gd.laby.(cx+1).(cy) = 2 then (* South *) begin current_status := EscapeDeath; raise (ReturnInt 4) end ;
if cy <> 0 && gd.laby.(cx).(cy-1) = 2 then (* West *) begin current_status := EscapeDeath; raise (ReturnInt 4) end ;
if cy <> cols -1 && gd.laby.(cx).(cy+1) = 2 then (* East *) begin current_status := EscapeDeath; raise (ReturnInt 4) end ;
(* 1. search without walking on dangerous tiles *)
if debug then Printf.printf "[explore] Attempt 1/2...\n";
if cx <> 0 && is_safe dgs.(cx-1).(cy) then (* North *) Queue.add (cx-1, cy, 0) q ;
if cx <> lines -1 && is_safe dgs.(cx+1).(cy) then (* South *) Queue.add (cx+1, cy, 2) q ;
if cy <> 0 && is_safe dgs.(cx).(cy-1) then (* West *) Queue.add (cx, cy-1, 3) q ;
if cy <> cols -1 && is_safe dgs.(cx).(cy+1) then (* East *) Queue.add (cx, cy+1, 1) q ;
let has_a_safe_path (cx0 : int) (cy0 : int) (simt : float) (vid : int) =
let q = Queue.create () in
Queue.add (cx0, cy0, simt) q ; (* everything added to q has valid coords *)
if debug then Printf.printf "[crates] Attempt %d/4...\n" vid ;
try
while not (Queue.is_empty q) do while not (Queue.is_empty q) do
let (cx, cy, dir) = Queue.pop q in let (cx, cy, cur_t) = Queue.pop q in
Hashtbl.add visited (cx, cy, 1) 1 ; if Hashtbl.find_opt visited (cx, cy, vid) <> None then () else begin
if gd.laby.(cx).(cy) = 2 then Hashtbl.add visited (cx, cy, vid) 1 ;
raise (ReturnInt dir) if dgs.(cx).(cy) = Safe then
else begin raise (ReturnBool true)
(* add neighbors *) else if gd.laby.(cx).(cy) = 2 then (* crate *)
if cx <> 0 && Hashtbl.find_opt visited (cx-1, cy, 1) = None && is_safe dgs.(cx-1).(cy) then (* North *) Queue.add (cx-1, cy, dir) q ; raise (ReturnBool true)
if cx <> lines -1 && Hashtbl.find_opt visited (cx+1, cy, 1) = None && is_safe dgs.(cx+1).(cy) then (* South *) Queue.add (cx+1, cy, dir) q ; else if dgs.(cx).(cy) = Blocked then
if cy <> 0 && Hashtbl.find_opt visited (cx, cy-1, 1) = None && is_safe dgs.(cx).(cy-1) then (* West *) Queue.add (cx, cy-1, dir) q ; ()
if cy <> cols -1 && Hashtbl.find_opt visited (cx, cy+1, 1) = None && is_safe dgs.(cx).(cy+1) then (* East *) Queue.add (cx, cy+1, dir) q ; else begin (* either danger or fatal *)
let dang_time = level_of_danger dgs.(cx).(cy) in
for dir = 0 to 3 do
let newx = cx + fst order.(dir)
and newy = cy + snd order.(dir)
and newt = cur_t +. interval in
if (is_valid newx newy lines cols) && not (newt > dang_time && newt < dang_time +. explosion_time) then
Queue.add (newx, newy, newt) q
done
end
end end
done; done;
false
with
| ReturnBool b -> b
in
(* 2. search one anyway *) (* check if there's a crate next to the player *)
if debug then Printf.printf "[explore] Attempt 2/2...\n"; if is_valid (cx+1) (cy) lines cols && gd.laby.(cx+1).(cy) = 2 then begin (* Crate at South *)
let (cx, cy) = (gd.players.(pid).xy.x, gd.players.(pid).xy.y) in current_status := EscapeDeath ;
if cx <> 0 && is_safe dgs.(cx-1).(cy) then (* North *) Queue.add (cx-1, cy, 0) q ; action := 1;
if cx <> lines -1 && is_safe dgs.(cx+1).(cy) then (* South *) Queue.add (cx+1, cy, 2) q ; if debug then Printf.printf "Fire in the hole!\n" ;
if cy <> 0 && is_safe dgs.(cx).(cy-1) then (* West *) Queue.add (cx, cy-1, 3) q ; raise (ReturnInt 4) ;
if cy <> cols -1 && is_safe dgs.(cx).(cy+1) then (* East *) Queue.add (cx, cy+1, 1) q ; end;
if is_valid (cx-1) (cy) lines cols && gd.laby.(cx-1).(cy) = 2 then begin (* Crate at North *)
current_status := EscapeDeath ;
action := 1;
if debug then Printf.printf "Fire in the hole!\n" ;
raise (ReturnInt 4) ;
end;
if is_valid (cx) (cy+1) lines cols && gd.laby.(cx).(cy+1) = 2 then begin (* Crate at East *)
current_status := EscapeDeath ;
action := 1;
if debug then Printf.printf "Fire in the hole!\n" ;
raise (ReturnInt 4) ;
end;
if is_valid (cx) (cy-1) lines cols && gd.laby.(cx).(cy-1) = 2 then begin (* Crate at West *)
current_status := EscapeDeath ;
action := 1;
if debug then Printf.printf "Fire in the hole!\n" ;
raise (ReturnInt 4) ;
end;
while not (Queue.is_empty q) do (* go to one without stepping into a dangerous tile *)
let (cx, cy, dir) = Queue.pop q in if is_valid (cx+1) (cy) lines cols && has_a_safe_path (cx+1) (cy) gd.dt 0 then raise (ReturnInt 2) ; (* South *)
Hashtbl.add visited (cx, cy, 2) 1 ; if is_valid (cx-1) (cy) lines cols && has_a_safe_path (cx-1) (cy) gd.dt 1 then raise (ReturnInt 0) ; (* North *)
if gd.laby.(cx).(cy) = 2 then if is_valid (cx) (cy+1) lines cols && has_a_safe_path (cx) (cy+1) gd.dt 2 then raise (ReturnInt 1) ; (* East *)
raise (ReturnInt dir) if is_valid (cx) (cy-1) lines cols && has_a_safe_path (cx) (cy-1) gd.dt 3 then raise (ReturnInt 3) ; (* West *)
else begin
(* add neighbors *)
if cx <> 0 && Hashtbl.find_opt visited (cx-1, cy, 2) = None && dgs.(cx-1).(cy) <> Blocked then (* North *) Queue.add (cx-1, cy, dir) q ;
if cx <> lines -1 && Hashtbl.find_opt visited (cx+1, cy, 2) = None && dgs.(cx+1).(cy) <> Blocked then (* South *) Queue.add (cx+1, cy, dir) q ;
if cy <> 0 && Hashtbl.find_opt visited (cx, cy-1, 2) = None && dgs.(cx).(cy-1) <> Blocked then (* West *) Queue.add (cx, cy-1, dir) q ;
if cy <> cols -1 && Hashtbl.find_opt visited (cx, cy+1, 2) = None && dgs.(cx).(cy+1) <> Blocked then (* East *) Queue.add (cx, cy+1, dir) q ;
end
done;
(* no crates ? Go for kills *) (* no crates ? Go for kills *)
if debug then Printf.printf "[explore] Attempt F...\n"; if debug then Printf.printf "[crates] Attempt F...\n";
4 4
with with
| ReturnInt k -> k ;; | ReturnInt k -> k ;;
@ -519,5 +485,5 @@ print_game_data game_d ;;
print_danger_levels dangers ;; print_danger_levels dangers ;;
Printf.printf "move at ";; Printf.printf "move at ";;
print_direction (move_safe game_d dangers) ;; print_direction (move_explore game_d dangers) ;;
Printf.printf "\n" ;; Printf.printf "\n" ;;

8
tp.txt
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@ -13,3 +13,11 @@
3 3 3 0 0 0 2 2 4 4 0 3 3 3 0 0 0 2 2 4 4 0
0 1 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0
0 0 0 2 2 2 2 3 3 2 0 0 0 0 2 2 2 2 3 3 2 0
0 0 2 2 2 2 2 2 2 0 0
0 1 2 1 2 1 2 1 2 1 0
2 2 2 2 2 2 2 0 2 2 2
2 1 0 1 2 1 2 1 2 1 0
2 2 2 2 2 2 2 2 2 2 2
0 1 2 1 2 1 2 1 0 1 0
0 0 2 2 2 2 2 2 2 0 0