It is easier to solve than to explain how it happens. Perhaps the knowledge of two typical constructions in chess composition helped for this case.
Usually, solving two-move problems can be started by answering the question: "If it would be Black's move in the position on the diagram, then are there White answers mating in one move?" If not (as in this case), then the second question could be: "If in a position on the diagram it is allowed for White to make two moves in a row, can he checkmate this way?". In other words: "Can White threaten mate in one move?" If not, then this is a zugzwang problem. The black king attacks two white knights. Most likely, one of these knights will have to be sacrificed, so we must first consider positions where Black's king will be on c3 or c4. If you manage to see one of the above matte constructions, then with a probability of 90% you have already found a solution.
8/1K6/7B/8/1kN5/2N5/8/3Q4 w - - 0 1
It was in an newspaper marked as very easy. Now I doubt this, as I have 50 moves options and the one that does the trick is not intuitive... for me - (elo1200).
Now I want to learn -can you please tell me what is your thought process, how to come to the solution? Is it just raw calculation of all 50 options - or can you exclude some of them?
Thanks