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Team_58.pl
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Team_58.pl
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% Author:
% Date: 3/15/2019
% Updated 3/16/2019
% All done.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
/* 1ST PREDICATE */
grid_build(N,M):-
grid_build_helper(N,N,M).
grid_build_helper(N, M, []):-
M = 0, !.
grid_build_helper(N, M, [H|T]) :-
length(Z,N),
H = Z,
M2 is M - 1,
grid_build_helper(N, M2, T).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
/* 2ND PREDICATE */
grid_gen(N, M) :-
grid_gen_helper(N, N, M).
grid_gen_helper(N, M, []) :-
M =< 0, !.
grid_gen_helper(N, M, [H|T]) :-
random_generator(N,H),
M2 is M - 1,
grid_gen_helper(N, M2, T).
random_generator(N,L):- length(L,N),maplist(between(1,N),L).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
/* 3rd PREDICATE */
num_gen(X,Y,Z):-
num_gen_helper(X,Y,[],Z).
num_gen_helper(X,Y,Acc,Acc):-
Y<X.
num_gen_helper(X,Y,Acc,Z):-
Y>=X,
Y2 is Y - 1,
num_gen_helper(X,Y2,[Y|Acc],Z).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
/* 4TH PREDICATE */
check_num_grid(G):-
flatten(G,Result),
max_list(Result,X),length(G,R),
X =<R,
check_list(Result).
check_list(Grid):-
max_list(Grid,Z),
check_list_helper(Z,Grid).
check_list_helper(Z,Grid):-
Z=<0.
check_list_helper(Z,Grid):-
member(Z,Grid),
Z2 is Z - 1,
check_list_helper(Z2,Grid).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
/* 5th PREDICATE */
acceptable_permutation(L,R):-
length(L,N),
permutation(L,R),
changed(R,L,N).
changed(_,_,N):-
N = 0, !.
changed(R,L,N):-
N > 0,
nth1(N,R,Z),
nth1(N,L,S),
S \= Z,
N2 is N - 1,
changed(R,L,N2).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
/* 6th PREDICATE */
dist([],[]):-
fail,!.
dist([HX|TX],[HY|TY]):-
HX=\=HY,!.
dist([HX|TX],[HY|TY]):-
HX=:=HY,
dist(TX,TY).
acceptable_distribution(GridRow):-
size(GridRow,Row,Col),transpose(GridRow,GridCol),
acchelper(Row,Col,GridRow,GridCol).
acchelper(Row,Col,GridRow,GridCol):-
Row =< 0, !.
acchelper(Row,Col,GridRow,GridCol):-
nth1(Row,GridRow,ResultRow),nth1(Col,GridCol,ResultCol),
dist(ResultRow,ResultCol),
N1 is Row-1,
N2 is Col-1,
acchelper(N1,N2,GridRow,GridCol).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
/* 7th PREDICATE */
row_col_match(GridRow):-
size(GridRow,Row,Col),transpose(GridRow,GridCol),
row_col_match_helper(Row,Col,GridRow,GridCol).
row_col_match_helper(Row,Col,GridRow,GridCol):- %base statement will out from loop.
Row =< 0, !.
row_col_match_helper(Row,Col,GridRow,GridCol):- % CHECKER FOR EACH ROW THAT IS Helsinki_list
nth1(Row,GridRow,ResultRow),nth1(Col,GridCol,ResultCol),delete(GridCol,ResultCol,Final),
member(ResultRow,Final),
NewRow is Row-1,
NewCol is Col-1,
row_col_match_helper(NewRow,NewCol,GridRow,GridCol).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
/* 8th PREDICATE */
trans(G,R):-
transpose(G,R).
transpose([[]|_], []).
transpose(Matrix, [Row|Rows]) :- transpose_1st_col(Matrix, Row, RestMatrix),
transpose(RestMatrix, Rows).
transpose_1st_col([], [], []).
transpose_1st_col([[H|T]|Rows], [H|Hs], [T|Ts]) :- transpose_1st_col(Rows, Hs, Ts).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
/* 9th PREDICATE*/
distinct_row([_]).
distinct_row([H|T]):-
distinct_row_helper(H,T),
distinct_row(T).
distinct_row_helper(_,[]).
distinct_row_helper(X,[H|T]):-
X\==H,
distinct_row_helper(X,T).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
/* 10th PREDICATE */
distinct_column(M):-
transpose(M,R),distinct_row(R).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
/* 11th PREDICATE */
allprop(G):-
distinct_row(G),distinct_column(G),acceptable_distribution(G),check_num_grid(G),row_col_match(G).
helsinki(N,G):-
grid_gen(N,R),allprop(R),acceptable_permutation(R,G).
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
/* USED PREDICATEs */
length_of(N, Ls) :-
length(Ls, N).
size(Mss, R, C) :-
length(Mss, R),
maplist(length_of(C), Mss).
size_of_matrix([],0).
size_of_matrix([H|T],N) :-
size_of_matrix(T,N2),
N is N2 + 1.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%