Mine was only a hint, not a solution, let's wait off the solution!
(BTW, many thanks for implementing special chars, a side effect of which is that now we all can use mathematical formulas as a Vergeltungswaffe against the King of Quests. FYI 'Árvíztűrő tükörfúrógép', brought up enthousiastically by Atoka, means 'flood-resistant mirror-drilling machine'.)