<div class='user_solution'><p align="JUSTIFY" style="margin-bottom: 0cm;"><font size="2">Theme: Endgame that culminating in matte </font> </p> <p align="JUSTIFY" style="margin-bottom: 0cm;"><br /> </p> <p align="JUSTIFY" style="margin-bottom: 0cm;"><font size="2"><b>1.Nb4! </b></font> </p> <p align="JUSTIFY" style="margin-bottom: 0cm;"><font size="2">Try : 1.h5? Nd4! 2.Rh4 <i>(2.Qxd5 e2 3.Qxd4 Rxd4 4.Rg1 h6=) </i>2...Ne6+=</font></p> <p align="JUSTIFY" style="margin-bottom: 0cm;"><br /> </p> <p align="JUSTIFY" style="margin-bottom: 0cm;"><font size="2"><b>1...Nxb4 </b></font> </p> <p align="JUSTIFY" style="margin-bottom: 0cm;"><font size="2">1...Nd4 2.Nxd5 Ne6+ 3.Kxe7+-</font></p> <p align="JUSTIFY" style="margin-bottom: 0cm;"><font size="2">1...Nf4 2.Qxb3+-</font></p> <p align="JUSTIFY" style="margin-bottom: 0cm;"><br /> </p> <p align="JUSTIFY" style="margin-bottom: 0cm;"><font size="2"><b>2.Ra1! Nd4 </b></font> </p> <p align="JUSTIFY" style="margin-bottom: 0cm;"><font size="2">main 1 2...Nxa1 3.h5 d2 <i>(3...h6 4.Qg6 Rxg6 5.hxg6 h5 6.g7+ Kh7 7.g8Q+ Kh6 8.Qg7#) </i>4.h6 d1Q 5.Qg7+ Rxg7 6.hxg7#</font></p> <p align="JUSTIFY" style="margin-bottom: 0cm;"><font size="2">main 2 2...Nc6 3.Ra8 h6 4.Qh5 Rg8+ 5.Kf7 Ne5+ 6.Qxe5 fxe5 7.Rxg8+ Kh7 8.Rg7+ Kh8 9.Kg6 Nd4 10.Rxe7 Ne6 11.Re8+ Nf8+ 12.Rf8#</font></p> <p align="JUSTIFY" style="margin-bottom: 0cm;"><br /> </p> <p align="JUSTIFY" style="margin-bottom: 0cm;"><font size="2"><b>3.Ra8 Nbc6 </b></font> </p> <p align="JUSTIFY" style="margin-bottom: 0cm;"><font size="2">3...Nd5 e.g. 4.h5 Nf5 5.Qxd5 Nh6 6.Qf7 Rg8+ 7.Qxg8+ Nxg8 8.Kf7+-</font></p> <p align="JUSTIFY" style="margin-bottom: 0cm;"><br /> </p> <p align="JUSTIFY" style="margin-bottom: 0cm;"><font size="2"><b>4.Qxf6+ exf6 5.Kf7+ Nd8+ 6.Rxd8+ Rg8 7.Rxg8# </b></font> </p> <p align="JUSTIFY" style="margin-bottom: 0cm;"><br /> </p></div>