map length (tiers :: [[ Nat->Nat ]]) = [1,1,3,5,10,16,30,48,80,...] length (list :: [ Nat->Nat ]) = Infinity allUnique (list :: [ Nat->Nat ]) = True ratioRepetitions (list :: [ Nat->Nat ]) = 0 % 1 tiers :: [Nat->Nat] = [ [\_ -> 0] , [\_ -> 1] , [ \x -> case x of 0 -> 1; _ -> 0 , \x -> case x of 0 -> 0; _ -> 1 , \_ -> 2 ] , [ \x -> case x of 0 -> 2; _ -> 0 , \x -> case x of 1 -> 1; _ -> 0 , \x -> case x of 1 -> 0; _ -> 1 , \x -> case x of 0 -> 0; _ -> 2 , \_ -> 3 ] , [ \x -> case x of 0 -> 3; _ -> 0 , \x -> case x of 1 -> 2; _ -> 0 , \x -> case x of 2 -> 1; _ -> 0 , \x -> case x of 0 -> 2; _ -> 1 , \x -> case x of 0 -> 0; 1 -> 0; _ -> 1 , \x -> case x of 2 -> 0; _ -> 1 , \x -> case x of 0 -> 1; _ -> 2 , \x -> case x of 1 -> 0; _ -> 2 , \x -> case x of 0 -> 0; _ -> 3 , \_ -> 4 ] , [ \x -> case x of 0 -> 4; _ -> 0 , \x -> case x of 1 -> 3; _ -> 0 , \x -> case x of 0 -> 1; 1 -> 1; _ -> 0 , \x -> case x of 2 -> 2; _ -> 0 , \x -> case x of 3 -> 1; _ -> 0 , \x -> case x of 0 -> 3; _ -> 1 , \x -> case x of 1 -> 2; _ -> 1 , \x -> case x of 0 -> 0; 2 -> 0; _ -> 1 , \x -> case x of 3 -> 0; _ -> 1 , \x -> case x of 1 -> 1; _ -> 2 , \x -> case x of 0 -> 0; 1 -> 0; _ -> 2 , \x -> case x of 2 -> 0; _ -> 2 , \x -> case x of 0 -> 1; _ -> 3 , \x -> case x of 1 -> 0; _ -> 3 , \x -> case x of 0 -> 0; _ -> 4 , \_ -> 5 ] , [ \x -> case x of 0 -> 5; _ -> 0 , \x -> case x of 1 -> 4; _ -> 0 , \x -> case x of 0 -> 1; 1 -> 2; _ -> 0 , \x -> case x of 0 -> 2; 1 -> 1; _ -> 0 , \x -> case x of 2 -> 3; _ -> 0 , \x -> case x of 0 -> 1; 2 -> 1; _ -> 0 , \x -> case x of 3 -> 2; _ -> 0 , \x -> case x of 4 -> 1; _ -> 0 , \x -> case x of 0 -> 4; _ -> 1 , \x -> case x of 1 -> 3; _ -> 1 , \x -> case x of 0 -> 0; 1 -> 2; _ -> 1 , \x -> case x of 0 -> 2; 1 -> 0; _ -> 1 , \x -> case x of 2 -> 2; _ -> 1 , \x -> case x of 0 -> 0; 3 -> 0; _ -> 1 , \x -> case x of 1 -> 0; 2 -> 0; _ -> 1 , \x -> case x of 4 -> 0; _ -> 1 , \x -> case x of 0 -> 3; _ -> 2 , \x -> case x of 0 -> 0; 1 -> 1; _ -> 2 , \x -> case x of 0 -> 1; 1 -> 0; _ -> 2 , \x -> case x of 2 -> 1; _ -> 2 , \x -> case x of 0 -> 0; 2 -> 0; _ -> 2 , \x -> case x of 3 -> 0; _ -> 2 , \x -> case x of 0 -> 2; _ -> 3 , \x -> case x of 1 -> 1; _ -> 3 , \x -> case x of 0 -> 0; 1 -> 0; _ -> 3 , \x -> case x of 2 -> 0; _ -> 3 , \x -> case x of 0 -> 1; _ -> 4 , \x -> case x of 1 -> 0; _ -> 4 , \x -> case x of 0 -> 0; _ -> 5 , \_ -> 6 ] , [ \x -> case x of 0 -> 6; _ -> 0 , \x -> case x of 1 -> 5; _ -> 0 , \x -> case x of 0 -> 1; 1 -> 3; _ -> 0 , \x -> case x of 0 -> 2; 1 -> 2; _ -> 0 , \x -> case x of 0 -> 3; 1 -> 1; _ -> 0 , \x -> case x of 2 -> 4; _ -> 0 , \x -> case x of 0 -> 1; 2 -> 2; _ -> 0 , \x -> case x of 0 -> 2; 2 -> 1; _ -> 0 , \x -> case x of 3 -> 3; _ -> 0 , \x -> case x of 0 -> 1; 3 -> 1; _ -> 0 , \x -> case x of 1 -> 1; 2 -> 1; _ -> 0 , \x -> case x of 4 -> 2; _ -> 0 , \x -> case x of 5 -> 1; _ -> 0 , \x -> case x of 0 -> 5; _ -> 1 , \x -> case x of 1 -> 4; _ -> 1 , \x -> case x of 0 -> 0; 1 -> 3; _ -> 1 , \x -> case x of 0 -> 3; 1 -> 0; _ -> 1 , \x -> case x of 2 -> 3; _ -> 1 , \x -> case x of 0 -> 0; 2 -> 2; _ -> 1 , \x -> case x of 0 -> 2; 2 -> 0; _ -> 1 , \x -> case x of 3 -> 2; _ -> 1 , \x -> case x of 0 -> 0; 1 -> 0; 2 -> 0; _ -> 1 , \x -> case x of 0 -> 0; 4 -> 0; _ -> 1 , \x -> case x of 1 -> 0; 3 -> 0; _ -> 1 , \x -> case x of 5 -> 0; _ -> 1 , \x -> case x of 0 -> 4; _ -> 2 , \x -> case x of 1 -> 3; _ -> 2 , \x -> case x of 0 -> 1; 1 -> 1; _ -> 2 , \x -> case x of 0 -> 0; 2 -> 1; _ -> 2 , \x -> case x of 0 -> 1; 2 -> 0; _ -> 2 , \x -> case x of 3 -> 1; _ -> 2 , \x -> case x of 0 -> 0; 3 -> 0; _ -> 2 , \x -> case x of 1 -> 0; 2 -> 0; _ -> 2 , \x -> case x of 4 -> 0; _ -> 2 , \x -> case x of 1 -> 2; _ -> 3 , \x -> case x of 0 -> 0; 1 -> 1; _ -> 3 , \x -> case x of 0 -> 1; 1 -> 0; _ -> 3 , \x -> case x of 2 -> 1; _ -> 3 , \x -> case x of 0 -> 0; 2 -> 0; _ -> 3 , \x -> case x of 3 -> 0; _ -> 3 , \x -> case x of 0 -> 2; _ -> 4 , \x -> case x of 1 -> 1; _ -> 4 , \x -> case x of 0 -> 0; 1 -> 0; _ -> 4 , \x -> case x of 2 -> 0; _ -> 4 , \x -> case x of 0 -> 1; _ -> 5 , \x -> case x of 1 -> 0; _ -> 5 , \x -> case x of 0 -> 0; _ -> 6 , \_ -> 7 ] , [ \x -> case x of 0 -> 7; _ -> 0 , \x -> case x of 1 -> 6; _ -> 0 , \x -> case x of 0 -> 1; 1 -> 4; _ -> 0 , \x -> case x of 0 -> 2; 1 -> 3; _ -> 0 , \x -> case x of 0 -> 3; 1 -> 2; _ -> 0 , \x -> case x of 0 -> 4; 1 -> 1; _ -> 0 , \x -> case x of 2 -> 5; _ -> 0 , \x -> case x of 0 -> 1; 2 -> 3; _ -> 0 , \x -> case x of 0 -> 2; 2 -> 2; _ -> 0 , \x -> case x of 0 -> 3; 2 -> 1; _ -> 0 , \x -> case x of 3 -> 4; _ -> 0 , \x -> case x of 0 -> 1; 3 -> 2; _ -> 0 , \x -> case x of 0 -> 2; 3 -> 1; _ -> 0 , \x -> case x of 1 -> 1; 2 -> 2; _ -> 0 , \x -> case x of 1 -> 2; 2 -> 1; _ -> 0 , \x -> case x of 4 -> 3; _ -> 0 , \x -> case x of 0 -> 1; 4 -> 1; _ -> 0 , \x -> case x of 1 -> 1; 3 -> 1; _ -> 0 , \x -> case x of 5 -> 2; _ -> 0 , \x -> case x of 6 -> 1; _ -> 0 , \x -> case x of 0 -> 6; _ -> 1 , \x -> case x of 1 -> 5; _ -> 1 , \x -> case x of 0 -> 0; 1 -> 4; _ -> 1 , \x -> case x of 0 -> 2; 1 -> 2; _ -> 1 , \x -> case x of 0 -> 4; 1 -> 0; _ -> 1 , \x -> case x of 2 -> 4; _ -> 1 , \x -> case x of 0 -> 0; 2 -> 3; _ -> 1 , \x -> case x of 0 -> 3; 2 -> 0; _ -> 1 , \x -> case x of 3 -> 3; _ -> 1 , \x -> case x of 0 -> 0; 3 -> 2; _ -> 1 , \x -> case x of 0 -> 2; 3 -> 0; _ -> 1 , \x -> case x of 1 -> 0; 2 -> 2; _ -> 1 , \x -> case x of 1 -> 2; 2 -> 0; _ -> 1 , \x -> case x of 4 -> 2; _ -> 1 , \x -> case x of 0 -> 0; 1 -> 0; 3 -> 0; _ -> 1 , \x -> case x of 0 -> 0; 5 -> 0; _ -> 1 , \x -> case x of 1 -> 0; 4 -> 0; _ -> 1 , \x -> case x of 2 -> 0; 3 -> 0; _ -> 1 , \x -> case x of 6 -> 0; _ -> 1 , \x -> case x of 0 -> 5; _ -> 2 , \x -> case x of 1 -> 4; _ -> 2 , \x -> case x of 0 -> 0; 1 -> 3; _ -> 2 , \x -> case x of 0 -> 3; 1 -> 0; _ -> 2 , \x -> case x of 2 -> 3; _ -> 2 , \x -> case x of 0 -> 1; 2 -> 1; _ -> 2 , \x -> case x of 0 -> 0; 3 -> 1; _ -> 2 , \x -> case x of 0 -> 1; 3 -> 0; _ -> 2 , \x -> case x of 1 -> 0; 2 -> 1; _ -> 2 , \x -> case x of 1 -> 1; 2 -> 0; _ -> 2 , \x -> case x of 4 -> 1; _ -> 2 , \x -> case x of 0 -> 0; 1 -> 0; 2 -> 0; _ -> 2 , \x -> case x of 0 -> 0; 4 -> 0; _ -> 2 , \x -> case x of 1 -> 0; 3 -> 0; _ -> 2 , \x -> case x of 5 -> 0; _ -> 2 , \x -> case x of 0 -> 4; _ -> 3 , \x -> case x of 0 -> 0; 1 -> 2; _ -> 3 , \x -> case x of 0 -> 1; 1 -> 1; _ -> 3 , \x -> case x of 0 -> 2; 1 -> 0; _ -> 3 , \x -> case x of 2 -> 2; _ -> 3 , \x -> case x of 0 -> 0; 2 -> 1; _ -> 3 , \x -> case x of 0 -> 1; 2 -> 0; _ -> 3 , \x -> case x of 3 -> 1; _ -> 3 , \x -> case x of 0 -> 0; 3 -> 0; _ -> 3 , \x -> case x of 1 -> 0; 2 -> 0; _ -> 3 , \x -> case x of 4 -> 0; _ -> 3 , \x -> case x of 0 -> 3; _ -> 4 , \x -> case x of 1 -> 2; _ -> 4 , \x -> case x of 0 -> 0; 1 -> 1; _ -> 4 , \x -> case x of 0 -> 1; 1 -> 0; _ -> 4 , \x -> case x of 2 -> 1; _ -> 4 , \x -> case x of 0 -> 0; 2 -> 0; _ -> 4 , \x -> case x of 3 -> 0; _ -> 4 , \x -> case x of 0 -> 2; _ -> 5 , \x -> case x of 1 -> 1; _ -> 5 , \x -> case x of 0 -> 0; 1 -> 0; _ -> 5 , \x -> case x of 2 -> 0; _ -> 5 , \x -> case x of 0 -> 1; _ -> 6 , \x -> case x of 1 -> 0; _ -> 6 , \x -> case x of 0 -> 0; _ -> 7 , \_ -> 8 ] , ... ]