# coding=utf-8

id = 148
group = 'license_plates'
number = 55
visible = True
facts = None

solution = '''\
conc148([], L, L).
conc148([H|T], L2, [H|L]) :-
  conc148(T, L2, L).

memb148(X, [X|_]).
memb148(X, [_|T]) :-
  memb148(X, T).

getdigits148([], []).
getdigits148([X|T], [X|NT]) :-
  number(X), !,
  getdigits148(T, NT).
getdigits148([_|T], NT) :-
  getdigits148(T, NT).

joindigits148([X], [X]).
joindigits148([X,Y|T], NT) :-
  XY is 10*X + Y,
  joindigits148([XY|T], NT).
joindigits148([X,Y|T], [X|NT]) :-
  joindigits148([Y|T], NT).

genexp148([Exp], Exp).
genexp148(L, Exp) :-
  conc148(Before, [N1,N2|After], L),
  memb148(Op, ['+','-','*','/']),
  NExp =.. [Op, N1, N2],
  conc148(Before, [NExp|After], L1),
  genexp148(L1, Exp).

firstMinus148(L, L).
firstMinus148([X|T], [Y|T]) :-
  Y is -X.

checkLicensePlate(LP, E1, E2) :-
  getdigits148(LP, Digs),
  conc148(L1, L2, Digs),
  joindigits148(L1, N1),
  joindigits148(L2, N2),
  firstMinus148(N1, MN1),
  firstMinus148(N2, MN2),
  genexp148(MN1, E1),
  genexp148(MN2, E2),
  E1 =:= E2.
'''