What is the best continuation for White?

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Analysis of john2001plus (1930) vs. Gunnarman3434 (1855)

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

(white to move) 1. Nf3 Nf6 2. d4 e6 3. c4 b6 4. g3 Bb7 5. Bg2 Be7 6. O-O O-O 7. Nc3 d5 8. Ne5 c5 9. cxd5 exd5 10. Bg5 Ne4 11. Nxe4 dxe4 12. Bxe7 Qxe7 13. e3 Rd8 14. Qc2 cxd4 15. Bxe4 Bxe4 16. Qxe4 Nd7 17. f4 dxe3 18. Qxe3 f6 19. Qb3+ Kf8 20. Nc6 Qc5+ 21. Rf2 Qxc6 22. Rc2 Nc5 23. Qc4 Qd6 24. b4 Ne6 25. a3 Rac8 26. Qxc8 Rxc8 27. Rxc8+ Ke7 28. Rac1 Qd4+ 29. Kg2 Qd2+ 30. Kh3 Kf7 31. Rc1c2 Qd7 32. Kg2 Kg6 33. Rc8c3 Qd5+ 34. Kg1 Nd4 35. Rf2 Qe4 36. Rc8 Ne2+ 37. Kf1 Nd4 38. Rc1 Qe3 39. Re1 Qd3+ 40. Kg2 Qxa3 41. Rb1 Qd3 42. Rbb2 Qe4+ 43. Kh3 Nf5 44. Rfe2 Qf3 45. Rf2 Qh5+ 46. Kg2 Qd1 47. Kh3 h5 48. Rbd2 Qg4+ 49. Kg2 Ne3+ 50. Kg1 h4 51. Rfe2 Nf5 52. Rg2 hxg3 53. hxg3 Qh5 54. g4 Qh4 55. gxf5+ Kxf5 56. Rdf2 Qh8 57. Kf1 Qf8 58. Rg5+ Ke4 59. Re2+ Kxf4 60. Reg2 Qd6 61. Rxg7

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