<div class='user_solution'><p><b>1. Qa1</b><br /> 1. Qc2? Qe1+ 2. Kf4 c6+ $1 3. Kf5+ Kh7 4. Rg7+ Kxg7 5. Qb2+</p><p>Kg8 6. Kg6 Qg3+ 7. Bg5 Be5 8. Qb7 Bc7 9. Qb2 Rd7 10. exd7 Qd6+ 11. Kxh5 Qxd712. Qf6 Qf7+ 13. Qg6+ Qxg6+ 14. Kxg6 Bb6 and Black keeps both his pawns -+<br /> 1. Qb2? Qe1+ 2. Kf4 Rf8+ 3. Ke5+ e3 4. Bxe3+ (4. Rxe3 Qa5+ 5. Kd4 Ba7+) 4... Kh7 5. Qc2+ Kh8 6. Rh3 c6+ 7. Ke4 Rf4+ 8. Kd3 Qf1+ 9. Kd2 Qg2+ 10. Kd3 Qxh3 -+<br /> 1. Qa3? c5 2. Kxe4+ Kh7 3. Qxc5 Qe1+ 4. Re3 Qh1+ 5. Rf3 Qh4+ 6. Kf4 Qe1+ 7. Qe3 Qb4+ 8. Kf3 Bxf4-+</p><p><b>1... Qe1+ 2. Kf4 Rf8+ 3. Ke5+ e3 </b><br /> 3... Kh7 4. Rg7+ Kxg7 5. Bh6+ <br /><b>4. Bxe3+ Rf4! 5. Qb2! </b><br /> 5. Kxf4? Qxa1 6. e7 Qa4+<br /> 5. Qxe1? c6#</p><p>5. Qa8? Qa5+ (5... Qa1+) 6. Kxf4 Qxa8 7. e7 Qa4+ -+<br /><b>5... Qc3+ 6. Kxf4 Qxb2 7. e7 </b><br /> 7. Kf5+? Kh7 <br /><b>7... Qh8 8. Kf5+! </b><br /> <i>Logical try 8. Ke4+? Kh7 9. Rg7+ Kxg7 </i>(9... Qxg7? 10. e8=Q Qg6+ 11. Qxg6+ Kxg6 12. Bf4! =) 10. Bd4+ Kf7 11. Bxh8 c6! and Black ends up with two extra pawns -+<br /><b><b>8... Kh7 9. Rg7+! Kxg7 </b></b></p><p>9... Qxg7 10. e8=Q= <br /><b style="font-weight: bold;">10. Bd4+ Kf7 11. Bxh8 c5 </b><br /> Now we see why the white king is better on f5. 11... c6 12. Kg5 (or 12. e8=Q+ Kxe8 13. Kg5)=<br /><b style="font-weight: bold;">12. Bf6 </b><br /> 12. Kg5? Kxe7 13. Kxh5 Ke6 -+<br /><b style="font-weight: bold;">12... Bd6 </b></p><p>12... Bg3 eg 13. Bg5 <br /><b style="font-weight: bold;">13. Ke4! Bxe7 14. Bd4! cxd4 </b><br /> 14... c4 15. Kd5 h4 16. Kxc4 h3 17. Bg1(17. Be5? Ke6 18. Bh2 Bd6-+) 17...Ke6 18. Kd3= <br /><b style="font-weight: bold;">15. Kxd4 h4 16. Ke3!</b><br /> 16. Ke4? h3 17. Kf3 Bh4! -+ <br /><b style="font-weight: bold;">16... h3 17. Kf2 h2 18. Kg2 =</b></p><p><b> </b></p><b></b></div>