What would you do? Part 2 continued

Below is the game continuation from the position given in "What would you do? Part 2". White declined the draw and did go onto win the game - but, while it worked out, it is not clear that this was the right decision - the time spent calculating had made had made it clear that with this continuation White was playing two losing sacrifices to try and swindle a win.

[Event "NECL Division 2 2014/15"] [Site "?"] [Date "2014.10.22"] [Round "?"] [White "Barnes, Nathan"] [Black "Coughtrey, Mike"] [Result "1-0"] [ECO "A24"] [WhiteElo "146"] [BlackElo "120"] [Annotator "Barnes, Nathan"] [SetUp "1"] [FEN "r3r3/pp4np/2p1bR2/2PpP1k1/1P4P1/3P1B2/P6P/4R1K1 w - - 0 31"] [PlyCount "19"] [EventDate "2015.02.18"] [WhiteTeam "Colchester A"] [BlackTeam "Clacton B"] {A24: English Opening vs King's Indian: Lines without ...Nc6} 31. h4+ $2 {An unsound sacrifice. Technically, this is a ? move but if you are going for a win as White playing sensible moves will result in a draw at best.} (31. Kf2 $142 Rf8 32. h4+ Kxh4 33. g5 Rxf6 34. exf6 (34. gxf6 $2 Nf5 $19) 34... Kxg5 35. fxg7 $15 {but if White is going to go down this line it would be best to accept the original draw offer.}) 31... Kxh4 $19 32. g5 $2 {Unsound sacrifice - again this is really a ? move but Black's king is exposed.} Kxg5 33. Kf2 Nf5 $2 (33... h5 $1 {was the only move that leads to an advantage for Black and shows that White's play was unsound - it gives an escape route for the king behind the h pawn.}) 34. Rg1+ $1 $15 Kf4 {the only sensible move} (34... Ng3 35. Rxg3+ Bg4 36. Rxg4+ Kh5 37. Rg1+ Kh4 38. Rh6#) (34... Kh4 35. d4 Re7 36. Rh1+ Kg5 37. Rh5+ Kf4 38. Rh4+ Kg5 39. Rg4+ Kh5 40. Rg8+ Kh4 41. Rxa8 {and White is winning easily}) 35. d4 {the only move that keeps the position as roughly equal - White must protect the pawn on e5.} Rg8 {Pushing the pawn to h5 was slightly better - but either way White is not much worse anymore.} (35... -- 36. Rg4# {was White's threat.}) 36. Rh1 $1 $11 { Every other move leads to an easy win for Black.} Rg4 $4 {Prevents mate but leads to an easy win for White.} (36... -- 37. Rh4+ Kg5 38. Rg4+ Kh5 39. Rg7+ Kh4 40. Rxh7+ Kg5 41. Rh5+ Kf4 42. Rh4+ Kg5 43. Rg4+ Kh5 44. Rxg8+ Kh4 45. Rg4+ Kh3 46. Rg1 Kh4 47. Rfg6 Ng3 48. R6xg3 a5 49. Rh1+ Bh3 50. Rhxh3# {is a forced mate - it is unlikely that all this could be calculated but it is easy to see that 37.Rh4+ would lead to an easy win.}) (36... Rg6 {is the only move that saves Black} 37. Rh4+ Kg5 38. Rh5+ Kf4 39. Rh4+ Kg5 40. Rh5+ Kf4 41. Rh4+ { with a draw by repetition. White can't play Rg4+ instead of Rh5+ as the king will be able to escape via h6-g7 leading to a win for Black.}) 37. Bxg4 $18 Kxg4 38. Rxe6 Nxd4 39. Rf6 $1 Kg5 $2 {Not that it really matters anymore} 40. Rg1+ {Black then actually played 40...Kh6 (an illegal move as the king moves into check) and White played 41.Rf5 (not noticing the illegal move). Black then resigned as the knight can't be saved due to the threat of mate.} (40. Rg1+ Kh5 41. Ke3 Ne6 42. Rxe6 d4+ 43. Kf4 Rf8+ 44. Rf6 Rxf6+ 45. exf6 d3 46. b5 cxb5 47. f7 d2 48. Rh1+ Kg6 49. f8=Q h5 50. Rg1+ Kh7 51. Qg7#) 1-0