d19p2 half done still need to calculate volume of the polyhedroid or find a better way

19/part2.pl

@@ -0,0 +1,75 @@
+:- use_module(library(pio)).
+:- use_module(library(dcg/basics)).
+:- initialization(main, main).
+
+main([FileName|_]) :-
+    input(FileName, Workflows),
+    findall(Limit, (wf(Workflows, in, Route, Limit), write(Route), write(" - "), write(Limit), nl), Limits),
+    or_limits(Limits, NewLimit),
+    write(NewLimit), nl,
+    choices(NewLimit, Answer),
+    write(Answer), nl.
+
+choices(Limit, N) :-
+    foldl([_-Min-Max, V0, V]>>(V is V0*(Max - Min + 1)), Limit, 1, N).
+
+or_limits([Limit], Limit).
+or_limits([Limit1, Limit2 | Limits], Limit) :-
+    findall(
+        Attr-Min-Max,
+        (   member(Attr-Min1-Max1, Limit1), member(Attr-Min2-Max2, Limit2),
+            Min is min(Min1, Min2), Max is max(Max1, Max2)),
+        NewLimit),
+    or_limits([NewLimit|Limits], Limit).
+    
+
+wf(_, accept, [accept], [x-1-4000, m-1-4000, a-1-4000, s-1-4000]).
+wf(Workflows, WorkflowName, [WorkflowName|Route], Limits) :-
+    \+ WorkflowName = accept, \+ WorkflowName = reject,
+    member(WorkflowName-Rules, Workflows),
+    with_rule(Workflows, Rules, Route, Limits).
+
+with_rule(Workflows, [EndRule], Route, Limits) :-
+    wf(Workflows, EndRule, Route, Limits).
+with_rule(Workflows, [Attr-Cond-N-Dest|Rules], Route, NewLimits) :-
+    % Either take the first route with its limit
+    (   wf(Workflows, Dest, Route, Limits),
+        member(Attr-Min-Max, Limits),
+        combine(Min-Max, Cond-N, NewMin-NewMax)
+    % ...or skip the first route, given we satisfy its reverse limits
+    ;   with_rule(Workflows, Rules, Route, Limits),
+        member(Attr-Min-Max, Limits),
+        negate(Cond-N, NotCond-NotN),
+        combine(Min-Max, NotCond-NotN, NewMin-NewMax)
+    ),
+    select(Attr-Min-Max, Limits, Attr-NewMin-NewMax, NewLimits).
+
+negate('<'-N, '>'-NewN) :- NewN is N - 1.
+negate('>'-N, '<'-NewN) :- NewN is N + 1.
+combine(Min-Max, '<'-N, Min-NewMax) :- NewMax is min(N-1, Max), Min < NewMax.
+combine(Min-Max, '>'-N, NewMin-Max) :- NewMin is max(N+1, Min), NewMin < Max.
+    
+% input parsing stuff below
+input(FileName, Workflows) :-
+    phrase_from_file((workflows(Workflows), remainder(_)), FileName).
+
+workflows([]) --> "\n", !.
+workflows([Name-Rules|Ws]) -->
+    string_without("{", NameStr), "{", rules(Rules), "}\n", workflows(Ws),
+    {atom_codes(Name, NameStr)}.
+
+rules([End]) --> dest(End).
+rules([Rule|Rules]) --> rule(Rule), ",", rules(Rules).
+
+rule(Attr-Cond-N-Dest) --> attr(Attr), cond(Cond), number(N), ":", dest(Dest).
+
+attr(x) --> "x".
+attr(m) --> "m".
+attr(a) --> "a".
+attr(s) --> "s".
+cond('>') --> ">".
+cond('<') --> "<".
+dest(reject) --> "R", !.
+dest(accept) --> "A", !.
+dest(Dest) --> endrule(Dest).
+endrule(Rule) --> string_without(",}", RuleStr), {atom_codes(Rule, RuleStr)}.