What is the strongest continuation for White?

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Analysis of soitgoes317 (1745) vs. john2001plus (1909)

8 7 6 5 4 3 2 1 a b c d e f g h 0

(white to move) 1. e4 d5 2. exd5 Qxd5 3. Nc3 Qa5 4. d4 Nf6 5. Bd2 c6 6. Bc4 Bf5 7. Nge2 e6 8. Ng3 Bg6 9. d5 cxd5 10. Nxd5 Qd8 11. Nxf6+ Qxf6 12. Bc3 Qd8 13. Bb5+ Nc6 14. O-O Qxd1 15. Raxd1 Rd8 16. Ba5 Rxd1 17. Rxd1 Be7 18. Bxc6+ bxc6 19. f3 Bc5+ 20. Kf1 Ke7 21. Ne4 Bxe4 22. fxe4 Bb6 23. Bb4+ c5 24. Bc3 f6 25. e5 c4 26. exf6+ gxf6 27. Re1 e5 28. Re4 Rd8 29. Ke2 Bd4 30. Bxd4 Rxd4 31. Rxd4 exd4 32. b3 cxb3 33. cxb3 Kd6 34. b4 Kd5 35. Kd3 f5 36. h4 h5 37. g3 Ke5 38. a3 a6 39. a4 Kd5 40. a5 Kc6 41. Kxd4 Kb5 42. Kc3 Kc6 43. Kc4

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Click here for 34... Kc6.
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