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1.Rxa6+ cleans the house. If 1…Kxa6 2.Qa4 mate, and if 1…Rxa6 2.Qd7+ Kb6 3.c5 mate.
Kamalakanta
1.Rxa6+ Kxa6
2.Qa4#
1.Rxa6+!! Rxa6 [1… Kxa6 2.Qa4#] 2. Qd7+ Kb6 3. c5#
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1. Qd7 Rb7
2. Ra6 Ka6
3. Qa4 Kb6
4. Qa5 x
OT: I demolished the problem on chesscafé this week, it is not 1-0, it is a draw:
1. h6 Ng5 2. c5 Kd5 3. Nf6+ Kc6 4. Ne4 Nf7! 5. h7 Nh8 6. Kc4 Ng6 7. Nd2 a4 8. Kxb4 a3 9. Kc4 a2 10. Nb3 Nh8 11. Na1 Nf7 12. Nc2 Kd7 13. Kb5 Kc7 14. Na1 Nh8 15. Kc4 Kc6 16. Nc2 Kc7 17. Kb4 Kc6 18. Kc4 Kc7 19. Kd5 Nf7 20. Kc4 Kd8 21. Kb3 Kd7 22. Kxa2 Kc6! =
Josef Louma’s 1937 study
http://www.chesscafe.com/text/es622.pdf