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Blundering Rook + Pawn mirror endgame against 2100 AI... twice.

http://en.lichess.org/TEh11BKL#109

I totally did not see any blunders at all during the game, I was just playing for a draw so I just played a random move Rb6. But b2 was indeed a blunder by black losing the game after this continuation:

56. Re5+ Kd7
57. Re2 Rh1
58. Rxb2 Ke7
59. Rg2 Ke8
60. Rg6 Ke7
61. Rg4 Rh2
62. Rg1 Rh3
63. Rg2 Rh4
64. Rf2 Rh1
65. Re2+ Kd7
66. Re4 Ra1
67. Kh7 Rh1+
68. Kg6 Rg1+
69. Kf6 Kd6
70. Rh4 Kc5
71. Rh5+ Kb4
72. Rg5 Rxg5

I thought this was pretty interesting since b2 just seemed like a natural move to me but apparently it's losing the game. It should have been a draw anyways though, engines shouldn't blunder a game away like that. Pretty happy with the rest of the game though, I rarely play this solid.

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