White can easily win a pawn by going 1.Bxa6 Nc6 2.Bd3, but this will be insufficient to win. Also the attempt at dominating the black knight by playing 1.Bxa6 Nc6 2.Bb7 Nxa5 3.Bd5 isn’t successful as black will go 3…Kf6 to push away the bishop. White needs to keep his a-pawn. Therefore he needs to find a trick. The solution is as follows: 1.Kd2! Now, if black tries 1…Nc6, white is in time to go 2.Kc3 Nxa5 3.Bf3! trapping the knight. Therefore black tries to activate his king: 1…Kf6 2.Kc3 Ke7 On 2…Nc6, 3.Bf3! Nb8 4.Kd4 should be decisive. Now white faces a difficult decision. He has many promising options, but I think there’s only one clear win. 3.Kb4 Nc6+ 4.Ka4 Nb8 doesn’t achieve too much as black gets his king to d6, covering a lot of important squares. 3.Bxa6 followed by Bb7-d5 is very tempting. Then black will have to play 5…Kd6 6.Kd4. Now the pawn ending after 6…Nc6+ is completely lost, but it seems to me that black has drawing chances after the correct 6…f6. White can solve this with a bit more simplicity: 3.Bxa6 Nc6 4.Bd3! Nxa5 5.Bxf5 Now the h7-pawn is under attack, but if he plays the natural move 5…h6, 6.Be4 with Kb4 next wins instantly. Consequently black is forced to play 5…Nc6, when 6.Bxh7 nets white a second pawn and a winning position.
In this puzzle, the basic idea is pretty straight-forward, but precision is needed to take the full point! 1.Rh8 Kg7 is the obvious start. Now 2.Rxg8+ Kxg8 3.Kg4 (taking the opposition) gives white nothing as black can simply go back and forth between f7 and g7 regardless of who has the opposition. 2.Kg5! is the key move. Now after 2…Kxh8 3.Kg6 Nh6 4.Kxh6 Kg8 5.Kg6 Kf8 6.Kf6, the opposition is no longer irrelevant, and white outflanks to win the d7-pawn. So black plays 2…Nf6. 3.Kf5 is brilliantly refuted by 3…Ne4!! 3.Rd8! is the right move, even though you’re giving up the important d6-pawn. 3…Ne4+ 4.Kf4 Nxd6 (4…Nf6 5.Ke5 is equally hopeless) 5.Rxd7+ Nf7 6.Kf5! White has managed to achieve a winning R vs N position. The rest is easy: 6…Kg8 7.Kf6 Nh8 8.Rc7 Kf8 9.Rc8 mate!
So, how much of this did you see?