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40. Ke4
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Keeping blacks king out of the game. |

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40... Nf5
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I wanted to wait a move and try to get black to play g5. |

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41. b3 a5 42. a3
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I finally get it to be blacks turn. |

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42... g5
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?? sure enough I get g5. |

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43. d7
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! |

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43... Nd6+
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The best move as it keeps blacks king close to the passed pawns and pulls the white king further from the king side pawns. |

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44. exd6 Kxd7 45. Kd5
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I offered a draw here and that's exactly what this position boils down to. Though with all the possibilities it would take me a long time to explain them all. So I'll try to do my best. I still wonder if I had played Ke5 if it would have made any difference in the long run but I would think it doubtful. |

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45... h5
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The best move in the position white can't go for the queen side pawns because of black's king side pawns; would win the race. Any king move would be bad for black also either a4 b4 or b4 a4 leads to just enough time for white to win the queen race by one move allowing white the chance for perpetual. Work it out yourself it's rather interesting. The last move g4 would also lead to a draw but this one is quite a bit more complex. 45... g4 46. a4 bxa4 (forced) 47. bxa4 white forces black to move! h5 48. Kf5 h4 49. Kf4 g3 not allowing white to win the race and the game. 50. hxg3 and here the game diverges into two paths. Black can play h3 or hxg3 lets look at h3 first. 51. Kf3 h2 52. Kg2 Kxd6 53. Kxh2 Kc5 54. g4 Kb4 55. g5 Kxa4 56. g6 Kb4 57. g7 and as you can see white queens before black even 52... h1=Q+ doesn't help because black doesn't queen in time for even a check. Going back to 50... hxg3 51. Kxg3 and now black seems to have the win but white has a clever draw. Kxd6 52. Kf2 Kc5 53. Ke1 Kb4 54. Kd1 black now has two tries both end in draw. Ka3 55. Kc1 Ka2 56. Kc2 Ka3 57. Kb1 and white finds the corner. Or 54... Kxa4 55. Kc1 Ka3 56. Kb1 and white finds the corner point is that black cannot force the pawn to a1 because the white king just keeps going back and forth between a1 and b1 eventually black traps the King on a1 and either gives up the pawn for draw by insignificant material or stalemate. |

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46. Ke5
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! forcing the draw. |

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46... b4
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white can exchange here. Blacks best try is to play h4 here in that case white would lock the queen side pawns when the opportunity arises. |

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47. axb4 axb4 48. Kf5 Kxd6
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Note: g4 Kg5 leads to no tempo loss the position remains the same. |

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49. Kxg5 Kc5 50. Kxh5 Kd4 51. Kg4
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Draw is agreed upon here because the race ends with a queen on h8 and a queen on b1 with white to move but neither side has any hope of victory. Note: after black gets 53... Kxb3 54. h3 Kc3?? would be a major mistake because white would queen with check giving a critical tempo white would be winning here. Work out the win with a computer or for yourself it's a rather important knowledge just force the king in front of the pawn and move the white king closer and closer. Side note: In the case of white queening first and the king is near the pawn on the rook2(7) and bishop2(7) pawns the game would be drawn. |

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