[Event "3p, EG - 50 AT"]
[Site "?"]
[Date "2016.01.??"]
[Round "?"]
[White "R. Becker"]
[Black "?"]
[Result "1-0"]
[SetUp "1"]
[FEN "2R5/5K2/8/7k/3B4/8/2P3Pp/2r5 w - - 0 1"]
[PlyCount "21"]
[EventDate "2016.??.??"]

1. Bf6 $1 (1. Rh8+ $2 Kg4 2. Rxh2 Rxc2 {positional draw}) (1. Rg8 $2 Rxc2 $1 2.
Bf6 (2. g4+ Kh4 3. Bf6+ Kh3 $11) 2... Rxg2 3. Rxg2 h1=Q 4. Rg5+ Kh6 5. Rg6+ Kh5
$11) 1... Rxc2 (1... h1=Q 2. Rg8 Qd1 3. g4+ Qxg4 4. Rh8#) (1... Kg4 2. Rc4+ Kg3
3. Be5+ Kxg2 4. Bxh2 $18) 2. Rxc2 h1=Q 3. Rc4 Qh2 (3... Qe1 4. g4+ Kh6 5. Rc8 {
(g5+)+-}) 4. Be7 $1 ({Thematic try} 4. g4+ $2 Kh6 5. g5+ Kh5 6. g6 Qa2 $1 $11)
(4. Bd8 $2 Qg3 5. Rc5+ Kh6 $11) 4... Qh1 (4... Qg3 5. Rc5+ Kh6 (5... Kg4 6.
Rg5+ Kf4 7. Bd6+ $18) 6. Bf8+ Kh7 7. Rh5#) 5. Rf4 Qh2 6. Ra4 $1 Qh1 7. Bf6 Qh2
8. g4+ Kh6 9. g5+ Kh5 10. g6 Qc7+ 11. Be7 {
wins. Logical study with maneuver to reposition the white Rook.} 1-0

[Event "1hm, UAPA 3rd Int. Internet Ty. "]
[Site "?"]
[Date "2016.02.17"]
[Round "?"]
[White "R. Becker"]
[Black "?"]
[Result "1-0"]
[SetUp "1"]
[FEN "6n1/2q2p2/Q4p2/5p2/8/5P2/2k1N3/6K1 w - - 0 1"]
[PlyCount "51"]
[EventDate "2015.??.??"]

1. Nd4+ $1 Kc1 2. Qf1+ (2. Kf1 $2 {(Kg2?)} Qb8 $1 $11) 2... Kb2 3. Qe2+ Ka1 4.
Qd1+ Kb2 5. Qb3+ Kc1 6. Qb4 $1 {(threat 7.Kf1) 6...} Ne7 (6... Qa7 7. Kf1 (7.
Kf2 $2 f4 $1 8. Kg2 Qa2+ 9. Kf1 Qa6+ 10. Ke1 Qd3 $11) 7... Qa6+ 8. Kf2 Qa7 (
8... Qd3 9. Ne2+ Kc2 10. Qc5+ Kb2 11. Qc1+ Ka2 12. Qc7 {
or 10.Qb8 wins the black Knight}) 9. f4 $1 $18) (6... Qg3+ 7. Kf1 Qh3+ 8. Ke2
Qg2+ 9. Kd3 $18) (6... Nh6 7. Qe1+ Kb2 8. Qd2+ Kb1 9. Qxh6 $18) (6... Kd1 7.
Kf1 Kc1 8. Qe1+ {transposes to MAIN B}) 7. Kf1 (7. Kf2 $2 Qh2+ $11) (7. Kg2 $2
Ng6 $1 $11) 7... Ng8 {(MAIN B)} ({(MAIN A)} 7... Ng6 {(1st distant self-block)}
8. Qe1+ Kb2 9. Qd2+ {(Qe2+)} Kb1 10. Qd3+ Kc1 11. Qe3+ Kb2 12. Qb3+ Kc1 13.
Ne2+ $1 Kd2 14. Qb2+ Ke3 (14... Kd3 15. Nc1+ Ke3 16. Qf2+ Kf4 17. Qh2+ $18) (
14... Qc2 15. Qb4+ Ke3 16. Qb6+ Kd2 17. Kf2 Qc4 18. Qb2+ Qc2 19. Qb4+ $18) 15.
Qd4+ Kxf3 16. Ng1+ Kg3 17. Qe3+ Kg4 18. Qh3+ Kg5 19. Nf3+ Kf4 {
(self-blocked on g6)} 20. Qh2+ {wins}) (7... f4 8. Kf2 $1 Ng6 9. Qe1+ Kb2 10.
Qd2+ Kb1 11. Qd1+ $1 (11. Qd3+ $2 Kc1 $1 $11) 11... Kb2 12. Qb3+ Kc1 13. Ne2+
Kd2 14. Qb2+ Kd3 15. Nc1+ Kc4 16. Qc2+ $18) (7... Nc8 8. Ke1 $18 ({also} 8.
Ne2+ Kc2 9. Ke1 $18)) 8. Qe1+ $1 (8. Ke1 $2 Qe5+ $1 ({not} 8... Qe7+ $2 9. Ne2+
Kc2 10. Qc3+ Kb1 11. Qd2 $18) 9. Ne2+ Kc2 $11) (8. Ke2 $2 Qe7+ $1 $11 ({not} 
8... Qe5+ $2 9. Kd3 $18)) (8. Kf2 $2 Qh2+ 9. Ke3 Qg1+ 10. Kd3 Qd1+ $11) (8. Kg2
$2 Kd1 $1 9. Kf1 Kc1 {loss of time}) 8... Kb2 9. Qd2+ {(Qe2+)} Ka1 10. Qd1+ (
10. Kg2 $2 Qb6 $1 $11) 10... Kb2 11. Qb3+ Kc1 12. Qb4 $1 Ne7 {
(2nd distant self-block)} (12... f4 13. Kg2 $18) 13. Qe1+ Kb2 14. Qd2+ {(Qe2+)}
Kb1 15. Qd3+ Kc1 16. Qe3+ Kb2 17. Qb3+ Kc1 18. Qa2 $1 (18. Qb4 $2 Ng8 $1 {
repeating}) 18... Kd1 19. Qb1+ Kd2 20. Qe1+ Kd3 21. Qd1+ Ke3 22. Nc2+ Kf4 23.
Qd2+ Ke5 ({Main} 23... Kg3 24. Nd4 $1 Qb8 (24... Qe5 25. Kg1 Kh4 26. Qh6+ Kg3
27. Qh2#) 25. Qg2+ Kh4 26. Nxf5+ $1 Nxf5 27. Qg4# {model mate}) 24. f4+ Ke6 (
24... Ke4 25. Qg2+ $1 Kd3 26. Nb4+ $18) 25. Nd4+ Kd7 {(self-blocked on e7)} 26.
Nb5+ {wins. Logical study with two distant self-blocks by the black Knight.}
1-0

[Event "5hm, Yochanan Afek - 64 JT"]
[Site "?"]
[Date "2016.04.??"]
[Round "?"]
[White "R. Becker"]
[Black "?"]
[Result "1-0"]
[SetUp "1"]
[FEN "6n1/8/2K2N2/3P4/3N4/2k1p3/3b1pB1/8 w - - 0 1"]
[PlyCount "19"]
[EventDate "2016.??.??"]

1. Ne2+ (1. Nxg8 $2 Kxd4 2. Bf1 Ke4 3. Be2 f1=Q 4. Bxf1 Kf3 $11) 1... Kc2 {
(compared with variation 1...Kd3, White plays 2.Ng4! or loses a tempo in Try 2.
Nxg8?)} (1... Kd3 2. Nf4+ Kc2 {(compared with main 1... Kc2, White plays 3.
Nxg8! or loses a tempo in Try 3.Ng4?)} 3. Nxg8 $1 ({Try} 3. Ng4 $2 Ne7+ 4. Kc5
Ng6 $1 {(deflection sacrifice)} 5. Ne2 Kd1 6. Bf1 Ke1 7. Nh2 Nh4 $1 8. Nf4 e2
9. Nd3+ (9. Nxe2 Be3+ 10. Kc4 Nf3 $11) 9... Kd1 10. Nxf2+ Ke1 11. Nd3+ Kd1 $11)
3... Kd1 4. d6 e2 5. Nxe2 Kxe2 6. d7 {(Kc5)+-}) 2. Ng4 $1 ({Try} 2. Nxg8 $2 Kd1
3. Ng3 (3. Bf1 Ke1 4. Ng3 e2 5. Bxe2 Bf4 $1 $11) 3... e2 4. Nxe2 Kxe2 $11) ({
Try} 2. Ne4 $2 Kd1 $1 3. Nd4 (3. N4g3 Ne7+ 4. Kc5 Nf5 $1 $11) (3. N2g3 Ne7+ 4.
Kc5 Ba5 $1 ({Not} 4... Ng6 $2 5. Kb5 $1 $18) 5. d6 Ng6 6. Bf1 Nf4 $11) 3... Nf6
$1 {(deflection sacrifice)} 4. Nxf6 (4. Ng3 Bc3 $1 5. Ndf5 e2 6. Bf3 f1=Q 7.
Nxf1 Ke1 8. N1g3 Kf2 9. Bxe2 Be5 $1 $11) (4. Bf3+ Ke1 5. Nc2+ Kf1 6. Ng3+ Kg1
7. Be2 f1=Q 8. Nxf1 Kf2 $11) 4... e2 $1 ({not} 4... Bc3 $2 5. Bf3+ Ke1 6. Nc2+
Kd2 7. Ne4+ $1 Kxc2 8. Be2 $18) 5. Nxe2 Kxe2 {(White has gained a tempo for
his Knight compared with Try 2.Nxg8?, but not a win)} 6. Nh5 (6. Ne4 Bf4 $11)
6... f1=N $1 $11) 2... Kd1 3. Bf1 Ke1 4. Nh2 Bb4 (4... Ne7+ 5. Kc5 Nf5 {(Ng6)}
6. d6 $18) 5. d6 (5. Nf4 $2 Ne7+ 6. Kd7 Nf5 $11) 5... Bxd6 6. Kxd6 Nf6 {
(MAIN B)} ({MAIN A)} 6... Nh6 7. Ng3 Nf5+ 8. Nxf5 e2 9. Nf3+ $1 Kxf1 10. Ne3#)
7. Ng3 Ne4+ 8. Nxe4 e2 9. Nc3 $1 exf1=Q 10. Nf3# {. Deflection sacrifices by
the black Knight on e4 or f5 lead to two different model mates by the white
Knights.} 1-0

[Event "2p, WCCT - 10"]
[Site "?"]
[Date "2017.07.11"]
[Round "?"]
[White "R. Becker"]
[Black "?"]
[Result "1-0"]
[SetUp "1"]
[FEN "8/2q4p/8/1R6/7B/2k5/Bp2K3/8 w - - 0 1"]
[PlyCount "37"]
[EventDate "2017.??.??"]

1. Bf6+ (1. Bg3 $2 b1=Q $1 $11) 1... Kc2 2. Be5 $1 (2. Rxb2+ $2 Kc1 3. Rb1+ Kc2
4. Rb4 Qh2+ $11) 2... Qe7 (2... Qc8 3. Rxb2+ Kc1 4. Rb1+ Kc2 5. Rb4 $18) (2...
Qc6 3. Bb3+ Kc1 4. Rd5 Qxd5 5. Bf4+ Kb1 6. Bxd5 $18) 3. Rxb2+ (3. Bb3+ $2 Kc1
4. Rd5 Qxe5+ 5. Rxe5 b1=Q $19) 3... Kc1 4. Rb1+ $1 ({Thematic try} 4. Rb5 $2
Qa3 5. Bb3 (5. Bc4 Kc2 $11) (5. Be6 Qa4 6. Rc5+ Kb1 7. Bf5+ Ka2 8. Be6+ Kb1 $11
) 5... Qa6 6. Bc4 Qa3 $1 {
(7.Rc5 is not playable with the Bishop is on e5 instead of d4)} ({not} 6... Qg6
$2 7. Bf4+ Kc2 8. Bb3+ Kc3 9. Be5# {model mate}) ({not} 6... Qh6 $2 7. Bb2+ Kc2
8. Bd3# {model mate}) 7. Rd5 Qa4 8. Rc5 Qc2+ ({or} 8... Qd1+ 9. Kf2 Qc2+ 10.
Kf3 {transposing}) 9. Kf3 h5 $1 (9... h6 $2 10. Bd4 Kd2 11. Be3+ Ke1 12. Bb5
Qd1+ 13. Kg3 Qd6+ 14. Kg2 Qg6+ 15. Kh2 Qd6+ 16. Kh1 $18) 10. Bd4 Kd2 11. Be3+
Ke1 12. Bb5 (12. Rg5 Qd1+ 13. Ke4 Qb1+ 14. Kf4 Qb8+ $11) 12... Qd1+ {draw})
4... Kc2 5. Rb5 Kc1 6. Rd5 $1 ({Thematic try} 6. Bb3 $2 Qa3 7. Kd3 Qf8 8. Ke2
Qa3 9. Bf4+ Kb2 10. Be5+ (10. Bg8+ Kc2 11. Bxh7+ Kc3 12. Bg8 Kc2 $11) 10... Kc1
11. Bd4 Qa6 (11... Qe7+ $2 12. Re5 $18) 12. Bc4 Qg6 $1 {
(15.Be5 model mate will not be possible with the Bishop on d4 instead of e5)} (
12... Qa3 $2 13. Rc5 Kb1 14. Bd3+ Ka2 15. Rc2+ Kb3 16. Rc3+ $18) (12... Qd6 $2
13. Bd3 Qh2+ 14. Bf2 $18) 13. Be3+ (13. Bb2+ Kc2 14. Bb3+ Kb1 $11) 13... Kc2
14. Bb3+ Kc3 15. Bd2+ Kd4 16. Rd5+ Ke4 17. Bc2+ Kxd5 {draw}) 6... Kc2 (6... Qb4
7. Rd1+ Kc2 8. Rd4 $18) 7. Rd2+ Kc1 8. Rd1+ Kc2 9. Rd5 h5 (9... Kc1 10. Bb3 $18
) (9... Qa3 10. Rd2+ $18) 10. Rb5 $1 ({Thematic try} 10. Rd2+ $2 Kc1 11. Rd1+
Kc2 12. Rd5 h4 {(the extra pawn move will draw)} 13. Rb5 Kc1 14. Bb3 Qa3 15.
Bd4 h3 $1 $11) 10... Kc1 11. Bb3 Qa3 12. Bd4 $1 (12. Kd3 $2 Qf8 13. Ke3 Qe7 14.
Ke2 Qa3 15. Bf4+ Kb2 16. Be5+ Kc1 {loss of time}) 12... Qa6 (12... Qe7+ 13. Re5
Qa3 (13... Qb4 14. Rc5+ Kb1 15. Bc4 Qa4 16. Rb5+ $18) 14. Rc5+ Kb1 15. Bc2+ Ka2
16. Rc7 Qa6+ 17. Kf2 $18) 13. Bc4 Qg6 14. Be3+ Kc2 15. Bb3+ Kc3 16. Bd2+ Kd4
17. Rd5+ Ke4 18. Bc2+ Kxd5 19. Bxg6 {wins. Logical study with economical
mechanism to reposition the dark square Bishop and remove guard of the g6
square.} 1-0

[Event "=3/4p, WCCT - 10"]
[Site "?"]
[Date "2017.07.11"]
[Round "?"]
[White "R. Becker"]
[Black "?"]
[Result "1-0"]
[SetUp "1"]
[FEN "8/pp1k4/8/1R2PR1p/b4K2/1p6/P1P5/4r3 w - - 0 1"]
[PlyCount "37"]
[EventDate "2017.??.??"]

1. Rd5+ $1 (1. Rxb7+ $2 Kc6 2. Rxb3 (2. axb3 Kxb7 $11) 2... Bxb3 3. axb3 h4 $11
) 1... Ke7 2. axb3 Rf1+ (2... Bxb3 3. Rc5 $1 $18) 3. Ke4 Re1+ 4. Kd4 Rd1+ 5.
Kc5 $1 ({Thematic try} 5. Kc4 Bxb3+ 6. cxb3 Rc1+ 7. Kd4 Rd1+ 8. Ke4 Re1+ 9. Kf4
Rf1+ 10. Kg5 Rg1+ 11. Kh6 Ke6 12. Rg5 Rxg5 13. Kxg5 Kxd5 14. Kf6 h4 15. e6 h3
16. e7 h2 17. e8=Q h1=Q $11) 5... b6+ 6. Kc4 Bxb3+ 7. cxb3 Rc1+ 8. Kd4 Rd1+ 9.
Ke4 Re1+ 10. Kf4 Rf1+ 11. Kg5 Rg1+ 12. Kh6 Ke6 13. Rg5 Rxg5 14. Kxg5 Kxd5 15.
Kf6 h4 16. e6 h3 17. e7 h2 18. e8=Q h1=Q 19. Qa8+ {wins. Logical study with
foresight move by the white King to open the long diagonal.} 1-0

[Event "UAPA 4th International Internet Ty."]
[Site "?"]
[Date "2017.01.22"]
[Round "?"]
[White "R. Becker - 2p (version)"]
[Black "?"]
[Result "1-0"]
[SetUp "1"]
[FEN "4N3/5N2/8/1p6/4k3/7B/3b4/K6n w - - 0 1"]
[PlyCount "29"]
[EventDate "2018.??.??"]

1. Bg2+ Kf5 2. Nfd6+ $1 (2. Bxh1 $2 Ke6 $1 3. Nfd6 Bf4 ({or} 3... Bc3+ 4. Ka2
Be5 5. Nxb5 Kd7 {transposing}) 4. Nxb5 Be5+ 5. Ka2 Kd7 $11) 2... Ke6 3. Ne4 Bf4
4. Ng7+ (4. Bxh1 $2 Ke7 {(Be5+)=}) 4... Kf7 5. Nh5 Be5+ 6. Kb1 $1 (6. Ka2 $2
Kg6 7. Bf3 Kh6 $1 8. Kb3 Bd4 $11) 6... Kg6 7. Bf3 Kh6 (7... Bd4 8. Nf4+ $18) 8.
Kc2 b4 (8... Bd4 9. Kd3 $18) 9. Kb3 Bd4 10. Kc4 Be5 11. Kxb4 Bd4 12. Kc4 Ba7
13. Nhf6 Nf2 14. Nxf2 Bxf2 15. Ng4+ {
wins. The section with theme: Three minor pieces win against two minor pieces.}
1-0

