Just two puzzles and the solutions follow immediately after each other one.
First is by Paul Heuacker 1938 (White to play and win.)
Here is a clue. You must know how to win this position.
FEN
1r6/7K/8/8/8/Q7/p7/k7 w - - 0 1
[FEN "1r6/7K/8/8/8/Q7/p7/k7 w - - 0 1"] 1. Qc1+ {BTW 1.Qa6 is not the solution to the main puzzle. But you must know this pattern.} 1... Rb1 2. Qc3+ Rb2 {Only move.} 3. Qd4 {The key move in this technique.} 3... Kb1 {Only move.} 4. Qd1 {Checkmate.}
The Solution
FEN
1RK5/8/Q7/8/5r2/8/p7/k7 w - - 0 1
[FEN "1RK5/8/Q7/8/5r2/8/p7/k7 w - - 0 1"] 1. Qh6 {1...Rf8+ 2.Kc7 Rxb8 3.Qc1+ Rb8 as in the game above.} 1... Rc4+ {1...Rf8+ and 2...Rxb8 does not work this is a better try to draw.} 2. Kb7 {The trick is to block the Rook and lift the stalemate.} 2... Rb4+ 3. Kc6 Rc4+ 4. Kb5 Rc5+ 5. Kb6 {5....Rc6+ 6.Qxc6 or 5...Rb5+ 6.Kxb5 and there is no stalemate. 1-0.}
The 2nd one has no known composer. It s older than God s dog. (White to play and win.)
The solution is after this observation
FEN
k7/Pp6/1Pp5/2Pp4/3Pp3/4P3/5P2/6K1 w - - 0 1
[FEN "k7/Pp6/1Pp5/2Pp4/3Pp3/4P3/5P2/6K1 w - - 0 1"] 1. f3 exf3 2. Kf1 {That should give you a clue how to handle this one.} 2... f2 {You have to leave Black with a series of only moves being careful not to allow a stalemate.} 3. e4 dxe4 {Only move.} 4. Kxf2 e3+ 5. Ke1 {Avoiding stalemate.} 5... e2 6. d5 cxd5 {Only move.} 7. Kxe2 d4 8. Kd2 d3 9. c6 bxc6 {Only move.} 10. Kxd3 Kb7 {Now bring the King up and win.} 11. Kc4 Ka8 12. Kc5 Kb7 13. a8=Q+ Kxa8 14. Kxc6 Kb8 {A famous position. Black to move draws. (Kc8) but it is White's move.} 15. b7 Ka7 {Only move.} 16. Kc7 {The pawn promotes and it is mate in three moves.}
The Budapest Gambit
25 Red Hot Pawn players have walked into this trap. Between 1920 and 2001
a handful of players have also been tripped up by this in Over The Board play.
xmenergy - vision1959 RHP 2021
1. d4 Nf6 2. c4 e5 3. dxe5 Ng4 4. Qd4 {Played over 250 times on RHP and over 50 times in OTB games.} 4... d6 5. exd6 Bxd6 {For a mere pawn Black has a good lead in development.} 6. Qxg7 {This is the blunder that has caught out many players.} 6... Be5 {White has lost their Queen. A few players plod on with Qxh8+ but it is hopeless.}
Instead of 6.Qxg7 there is a Queen check picking up another pawn.
This happened in runman - szn1 RHP 2011 I ll use this as our game.
1. d4 Nf6 2. c4 e5 3. dxe5 Ng4 {This move is much more popular than 3...Ne4.} 4. Qd4 d6 5. exd6 Bxd6 {Instead of 6.Qxg7 we look at...} 6. Qe4+ {Played 13 times on RHP.} 6... Be6 {Giving up another pawn. It is after all called the Budapest GAMBIT!} 7. Qxb7 Nd7 {Black has lot of activity and there are tempo gains on the White's Queen.} 8. h3 {8. Nf3 is probably best here. In the game Black played 8...Rb8 9.Qe4 Ne4 but this move....} 8... Nxf2 {...is winning. 9.Kxf2 Qh4+ 10.Ke3 Qf4+ 11.Kd3 Nc5+ wins White Queen. White can try....} 9. Bg5 {A plausible move. Black may take fright and play something like 9...f6.} 9... Qxg5 {But a true Budapest Gambiteer will play this.} 10. Qxa8+ Ke7 {White may now try 11.Qf3 Nxh1 and Black is solid piece up with a great position.} 11. Qxh8 {Now there is a quick mate coming.} 11... Qc1+ {The f2 Knight has done its bit, it is no longer needed.} 12. Kxf2 Bc5+ {13. e3 Qxe3 mate.} 13. Kg3 Qg5+ 14. Kh2 Bd6+ 15. g3 Qxg3 {Checkmate. Have fun with this line and good luck.}