<div class='user_solution'><span class="MsoNormal" style="text-align:justify;display:block;"><b>Theme: Elimination of the threat of stalemate in the counterplay of black</b></span> <span class="MsoNormal" style="text-align:justify;display:block;"><b> </b></span> <span class="MsoNormal" style="text-align:justify;display:block;"><b><u>1.Ra8 Rg6</u>+ </b></span> <span class="MsoNormal" style="text-align:justify;display:block;"><b>main 1</b> : <u>1...Re5+ 2.Kxe5 Qxa8 3.Qf5</u>! <i>(3.Qc8+? Qxc8 4.Rxc8+ Kf7 5.Rxh8 Nxf2 6.Kxf4 Ne4 7.Kxf3 Nd6=) </i><u>3...Qb8</u>+ <i>(3...Kd8 4.Rd1+ Ke8 5.Qe6+ Kf8 6.Rc1) </i><u>4.Ke6 Rf8 5.Qh5+ g6</u> <i>(5...Kd8 6.Qd5+ Ke8 7.Qd7#) </i><u>6.Qxh7 Rf6+ 7.Kxf6 Qd6+ 8.Kg7 Qf8+ 9.Kxg6 Qd6+ 10.Kh5 Qe5+ 11.Kh6 Qf6+ 12.Qg6+-</u></span> <span class="MsoNormal" style="text-align:justify;display:block;">or<span>  </span>1...Qxa8 2.Qc8+ Qxc8+ 3.Rxc8# mate</span> <span class="MsoNormal" style="text-align:justify;display:block;"><u><span style="text-decoration: none;"> </span></u></span> <span class="MsoNormal" style="text-align:justify;display:block;"><b><u>2.Qxg6+ hxg6 3.Rcc8 Ng5</u>+! </b></span> <span class="MsoNormal" style="text-align:justify;display:block;"><b>main 2 :</b> 3...0–0 4.Rxd8 Rxd8 5.Rxd8+ Kh7 6.Ke5 Nxf2 7.Kxf4!+-</span> <span class="MsoNormal" style="text-align:justify;display:block;"> </span> <span class="MsoNormal" style="text-align:justify;display:block;"><b><u>4.hxg5 0–0 5.Rxd8 Kh7 6.Rd1</u>! </b></span> <span class="MsoNormal" style="text-align:justify;display:block;">6.Kd7? Rf7+ 7.Kc8 Rc7+ 8.Kb8 Rc8+ 9.Kxc8 stalemate</span> <span class="MsoNormal" style="text-align:justify;display:block;"> </span> <span class="MsoNormal" style="text-align:justify;display:block;"><b><u>6...Re8+ 7.Kf7</u>!</b></span> <span class="MsoNormal" style="text-align:justify;display:block;">7.Rxe8? stalemate</span> <span class="MsoNormal" style="text-align:justify;display:block;"> </span> <span class="MsoNormal" style="text-align:justify;display:block;"><b><u>7...Re7+ 8.Kf8 Rf7+ 9.Ke8</u>!</b></span> <span class="MsoNormal" style="text-align:justify;display:block;">9.Kxf7? stalemate</span> <span class="MsoNormal" style="text-align:justify;display:block;"> </span> <span class="MsoNormal" style="text-align:justify;display:block;"><b><u>9...Re7+ 10.Kd8 Rd7+ 11.Rxd7</u>!+- </b><b>no estalemate<span> </span></b></span></div>