Queen vs Rook & Pawn(s) Endgames

White to move and win.

1.Qh7+ Kd8 [1...Ke6 2.Qc7 Rc5 3.Qd8 Re5 4.Qe8+ Kd5 5.Qf8 ->Main Line; 1...Ke8 2.Qc7+-] 2.Qf7! Kc8 [2...Rc5 3.Qe6 Kc7 4.Qe7+ Kc6 5.Qd8 ->Main Line] 3.Qa7 Kd8 [3...Rc5 4.Qe7+-] 4.Qb8+

White to move and win.

14.Kf8! Re4 [14...Ke4 15.Qc4+ Kf5 16.Qd3+ Ke6 17.Ke8+-; 14...Re6 15.Qb3+ Ke5 16.Kf7+-] 15.Qd3+ Rd4 [15...Ke5 16.Ke7 d5 17.Qg3++-] 16.Qf5+ Kc4 17.Qc2+ Kd5 18.Ke7 Re4+ [18...Ke5 19.Qc3! d5 20.Qe3+ Re4 21.Qg5+ Kd4+ 22.Kd6+-] 19.Kd7 Rd4 20.Qc6+

White to move cannot win.

1.Qb8+ Ke7 2.Qg8 Rc6 3.Qg7+ Kd8 4.Qf8+ Kc7 5.Qa8 Re6=

White to move and win.

4.Qb8+ Kd7 5.Qb7+ Kd8 6.Qc6 Ke7 7.Qc7+ Ke6 8.Qd8 Kd5 [8...Rf5+ 9.Kg4 Re5 10.Qe8+ Kd5 11.Qc8! ->Main Line] 9.Qc8!

White to move andd win.

20.Qc6+ Ke5 21.Qf3+-

White to move and win.

9.Qc8! Re4+ [9...Kd4 10.Qc6 Rd5 11.Kf3 Rf5+ (11...Ke5 12.Qc3+ Kf5 13.Qc4!+-) 12.Kg4 Rd5 13.Kf4!+-; 9...Rh5 10.Qa8+! Kd4 11.Qa4+; 9...Re7 10.Kf5 Rf7+ 11.Kg5 Re7 12.Kf6+-] 10.Kf5 Re5+ [10...Kd4 11.Qc6 d5 12.Qc2 Re5+ 13.Kf6 Re4 14.Kf7!+-] 11.Kf6 Re4 12.Qc3!

White to move and win.

2.Qe7+ Ka6 [2...Kb8 3.Qd7! Rh6 (3...Rb1 4.Qe8+ Kc7 5.Qf7+ Kc8 6.Qg8+ Kb7 7.Qh7++-; 3...Rb2 4.Qe8+ Kb7 5.Qe4+ Ka6 6.Qd3+ Kb7 7.Qf3+ Kb8 8.Qf8+ Kb7 9.Qg7++-; 3...Ra6 4.Kb5 Rb6+ 5.Ka5+-) 4.Qe8+ Kb7 5.Qe7+ Ka6 6.Qf7 Rb6 7.Qd7! ->Main Line] 3.Qd7! Rb2 [3...Rb1 4.Qa4+ Kb7 5.Qe4++-] 4.Qd3+ Kb7 5.Qf3+ Kc7 6.Qf7+ Kb8 7.Qf8+ Kb7 8.Qg7++-