What is the strongest continuation for Black?

ICC tourney 1543 (12 3), Internet Chess Club
Analysis of IAlwaysWin (1732) vs. john2001plus (1731)

1 2 3 4 5 6 7 8 h g f e d c b a +5

(black to move) 1. Nf3 Nf6 2. e3 e6 3. b3 b6 4. Bb2 Bb7 5. c4 c5 6. Be2 Nc6 7. O-O Be7 8. Nc3 O-O 9. d3 d5 10. Rc1 d4 11. exd4 cxd4 12. Nb5 e5 13. Nd2 a6 14. Na3 Nd7 15. Bf3 Nc5 16. Qe2 Nb4 17. Bxb7 Nxb7 18. Nf3 Nxa2 19. Ra1 Nc3 20. Bxc3 dxc3 21. Nxe5 Bxa3 22. Rxa3 Qd6 23. Raa1 Rfe8 24. f4 f6 25. Qf3 Nc5 26. Nc6 Nxb3 27. Rae1 Nd2 28. Ne7+ Kf8 29. Qh5 Nxf1 30. Qxh7 Qd4+ 31. Kh1 Ne3 32. Ng6+ Kf7 33. Qh5 Ke6 34. Nh4 Kd6 35. Qe2 c2 36. Qd2 Nxc4 37. Nf5+ Kc5 38. Nxd4 Nxd2 39. Nxc2 Rxe1+ 40. Nxe1 a5

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Click here for 31... Rxe7.
Click here for 32. Nd5.
Click here for 34. Qf3.