<div class='user_solution'><div><br /></div><div><span style="font-family: &quot;Times New Roman&quot;; font-size: medium;">1. Qc7!</span><br style="font-family: &quot;Times New Roman&quot;; font-size: medium;" /><span style="font-family: &quot;Times New Roman&quot;; font-size: medium;">1. Qe5? Rh2? 2. Sf5+! but 1. ...Rh1!</span><br style="font-family: &quot;Times New Roman&quot;; font-size: medium;" /><span style="font-family: &quot;Times New Roman&quot;; font-size: medium;">1. ... Rh1 2. Se4 Ra1+ 3. Kb7 Rb1+</span><br style="font-family: &quot;Times New Roman&quot;; font-size: medium;" /><span style="font-family: &quot;Times New Roman&quot;; font-size: medium;">4. Kc8</span><br style="font-family: &quot;Times New Roman&quot;; font-size: medium;" /><span style="font-family: &quot;Times New Roman&quot;; font-size: medium;">4. ... Rb8+ 5. Kxb8 g3 6. Qxg3+Kh5 7. Qxg5#</span><br style="font-family: &quot;Times New Roman&quot;; font-size: medium;" /><span style="font-family: &quot;Times New Roman&quot;; font-size: medium;">4. ... Rc1 5. Qxc1 g3 6. Qxg5+ Kh3 7. Qxg3#</span><br style="font-family: &quot;Times New Roman&quot;; font-size: medium;" /><br style="font-family: &quot;Times New Roman&quot;; font-size: medium;" /><span style="font-family: &quot;Times New Roman&quot;; font-size: medium;">Echo mates. The try 1. Qe5? which may look better because it centralizes the queen nearer the black king and constrains the e-pawn, fails as it does not control h- or f7. The key forms a battery not to the king but to the potential move of the rook to h2.</span></div><br /></div>