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day23.pl
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:- use_module(library(dcg/basics)).
:- use_module(library(clpfd)).
:- use_module(library(assoc)).
:- use_module(library(lists)).
:- use_module(library(pairs)).
:- use_module(library(random)).
:- use_module(matrix).
:- use_module(astar).
data(p1data, [o, o, o, o, o, o, o, o, o, o, o], [[b,b], [a,c], [a,d], [d,c]]).
data(p1test, [o, o, o, o, o, o, o, o, o, o, o], [[b,a], [c,d], [b,c], [d,a]]).
data(p1test2,[a, o, o, o, o, o, o, o, o, o, o], [[o,a], [c,d], [b,c], [d,a]]).
data(p2test, [o, o, o, o, o, o, o, o, o, o, o], [[b,d,d,a], [c,c,b,d], [b,b,a,c], [d,a,c,a]]).
data(p2data, [o, o, o, o, o, o, o, o, o, o, o], [[b,d,d,b], [a,c,b,c], [a,b,a,d], [d,a,c,c]]).
data(goal, [o, o, o, o, o, o, o, o, o, o, o], [[a,a], [b,b], [c,c], [d,d]]).
data(goal2, [o, o, o, o, o, o, o, o, o, o, o], [[a,a,a,a], [b,b,b,b], [c,c,c,c], [d,d,d,d]]).
move_cost(a, 1).
move_cost(b, 10).
move_cost(c, 100).
move_cost(d, 1000).
target_column(a, 2).
target_column(b, 4).
target_column(c, 6).
target_column(d, 8).
set_hallway(Hallway, X, InMatrix, OutMatrix):-
nth0(X, Hallway, Value),
matrix_transform(InMatrix, X, 0, Value, OutMatrix).
set_sideroom([A,B], Index, InMatrix, OutMatrix):-
matrix_transform(InMatrix, Index, 1, A, AMatrix),
matrix_transform(AMatrix, Index, 2, B, OutMatrix).
set_sideroom([A,B,C,D], Index, InMatrix, OutMatrix):-
matrix_transform(InMatrix, Index, 1, A, AMatrix),
matrix_transform(AMatrix, Index, 2, B, BMatrix),
matrix_transform(BMatrix, Index, 3, C, CMatrix),
matrix_transform(CMatrix, Index, 4, D, OutMatrix).
room_init(Hallway, SideRooms, Matrix):-
matrix_init(InitMatrix),
A = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9 , 10],
foldl(set_hallway(Hallway), A, InitMatrix, HallwayMatrix),
foldl(set_sideroom, SideRooms, [2, 4, 6, 8], HallwayMatrix, Matrix).
between_nc(X, Target, Value):-
( X > Target ->
NewX is X - 1,
between(Target, NewX, Value)
;
NewX is X + 1,
between(NewX, Target, Value)
).
distance(X+Y, NX+NY, Distance):-
XDist is abs(X-NX),
YDist is abs(Y-NY),
Distance is XDist + YDist.
empty_to_target_column(Matrix, Start, Target):-
forall(between_nc(Start, Target, Column),
matrix(Matrix, Column, 0, o)).
empty_to_target_row(Matrix, Column, Start, Target):-
forall(between_nc(Start, Target, Row),
matrix(Matrix, Column, Row, o)).
destinations_states_costs(Matrix, X+Y, Amphipod, Destinations, DestinationStatesCost):-
move_cost(Amphipod, CostFactor),
findall(DestinationState-Cost,
(member(DX+DY, Destinations),
distance(X+Y, DX+DY, Distance),
Cost is Distance*CostFactor,
matrix_transform(Matrix, X, Y, o, NewMatrix),
matrix_transform(NewMatrix, DX, DY, Amphipod, DestinationState)),
DestinationStatesCost).
trim_destinations(Destinations, TrimmedDestinations):-
sort(Destinations, SortedDestinations),
subtract(SortedDestinations, [2+0, 4+0, 6+0, 8+0], TrimmedDestinations).
friendly_target_column(Matrix, Amphipod, YMax, Column):-
forall(between_nc(0, YMax, Row),
(matrix(Matrix, Column, Row, o)
;
matrix(Matrix, Column, Row, Amphipod)
)).
max_depth(X+Y, AX+AY, NX+NY):-
(Y > AY ->
NX = X,
NY = Y
;
NX = AX,
NY = AY
).
max_depth_destinations(Destinations, MaxDepthDestinations):-
foldl(max_depth, Destinations, 0+0, MaxDepth),
MaxDepthDestinations = [MaxDepth].
movex(Matrix, X+0, Amphipod, DestinationStatesCost):-
matrix_limits(Matrix, _, YMax),
target_column(Amphipod, TargetColumn),
empty_to_target_column(Matrix, X, TargetColumn),
friendly_target_column(Matrix, Amphipod, YMax, TargetColumn),
findall(Destination,
(between_nc(0, YMax, Row),
forall(between_nc(0, Row, TRow),
matrix(Matrix, TargetColumn, TRow, o)),
Destination = TargetColumn+Row),
Destinations),
trim_destinations(Destinations, CleanDestinations),
max_depth_destinations(CleanDestinations, DeepestDestinations),
destinations_states_costs(Matrix, X+0, Amphipod, DeepestDestinations, DestinationStatesCost).
unfriendly_column(_, Column+_, Amphipod):-
target_column(Amphipod, TargetColumn),
TargetColumn \= Column.
unfriendly_column(Matrix, Column+_, Amphipod):-
matrix_limits(Matrix, _, YMax),
\+ forall(between(0, YMax, Y),
(
matrix(Matrix, Column, Y, o)
;
matrix(Matrix, Column, Y, Amphipod)
)
).
move(Matrix,X+Y, Amphipod, DestinationStatesCost):-
Y > 0,
unfriendly_column(Matrix, X+Y, Amphipod),
empty_to_target_row(Matrix, X, Y, 0),
findall(Destination,
(between_nc(X, 0, DX),
empty_to_target_column(Matrix, X, DX),
Destination = DX+0),
LeftDestinations),
findall(Destination,
(between_nc(X, 10, DX),
empty_to_target_column(Matrix, X, DX),
Destination = DX+0),
RightDestinations),
append(LeftDestinations, RightDestinations, Destinations),
trim_destinations(Destinations, CleanDestinations),
destinations_states_costs(Matrix, X+Y, Amphipod, CleanDestinations, DestinationStatesCost).
move(Matrix,D, Amphipod, DestinationStatesCost):-
movex(Matrix, D, Amphipod, DestinationStatesCost).
neighbor_states(Matrix, AllNeighborStatesCost):-
findall(NeighborStatesCost,
(matrix_xy(Matrix, X, Y),
matrix(Matrix, X, Y, Amphipod),
member(Amphipod, [a,b,c,d]),
move(Matrix, X+Y, Amphipod, NeighborStatesCost)),
NeighborStatesCostList),
flatten(NeighborStatesCostList, AllNeighborStatesCost).
bad_heuristic(_, _, 1).
heuristic(Matrix, _, Cost):-
findall(Cost,
(matrix_xy(Matrix, X, Y),
matrix(Matrix, X, Y, Amphipod),
member(Amphipod, [a,b,c,d]),
target_column(Amphipod, Column),
distance(X+Y, Column+1, Distance),
move_cost(Amphipod, AmphipodCost),
Cost is Distance * AmphipodCost),
CostList),
sum_list(CostList, Cost).
board_write_side(Matrix, Y, X):-
matrix(Matrix, X, Y, Value),
write(Value),
write(" ").
board_write(Matrix):-
forall(between(0, 10, X),
(matrix(Matrix, X, 0, Value),
write(Value))),
writeln(""),
\+ forall(between(1, 10, Y),
(write(" "),
maplist(board_write_side(Matrix, Y), [2,4,6,8]),
writeln(""))),
writeln("").
board_write_cost(State-Cost):-
writeln([cost, Cost]),
board_write(State).
room(File, Matrix):-
data(File, Hallway, SideRooms),
room_init(Hallway, SideRooms, Matrix).
goal(GoalMatrix):-
room(goal, GoalMatrix).
goal2(GoalMatrix):-
room(goal2, GoalMatrix).
day23_p1(File, Score):-
writeln("Goal"),
goal(GoalMatrix),
board_write(GoalMatrix),
room(File, Matrix),
board_write(Matrix),
astar(Matrix,
GoalMatrix,
neighbor_states,
bad_heuristic,
Score).
day23_p2(File, Score):-
writeln("Goal"),
goal2(GoalMatrix),
board_write(GoalMatrix),
room(File, Matrix),
board_write(Matrix),
astar(Matrix,
GoalMatrix,
neighbor_states,
heuristic,
Score).
day23_p1(Score):-
day23_p1(p1data, Score).
day23_p1_test(Score):-
day23_p1(p1test, Score).
day23_p1_test2(Score):-
day23_p1(p1test2, Score).
day23_p2(Score):-
day23_p2(p2data, Score).
day23_p2_test(Score):-
day23_p2(p2test, Score).
day23:-
day23_p1_test(12521),
day23_p1(11417),
day23_p2_test(44169),
day23_p2(49529).