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With Christmas approaching, the spirit of generosity overwhelms me, so I am giving
you three problems in one. The diagram is a helpmate in 3 (Black moving first, as
always in helpmates!). When you have solved that, go back to the diagram, shift the
wK to g6, and it is again helpmate in 3. Finally, part c) has the wK starting on
c1, again a helpmate in 3. As you would expect, the three solutions are
The diagram solves by 1.Sc3+ Bd6 2.Kd5 Kd7 3.Se4 Sb6 mate. Note how the bK
and bS swap places ("Platzwechsel").
In part b), the solution is 1.Sf4+ Kf6 2.Rd5 Bc5 3.Sd3 Sd2 mate, this time a
Platzwechsel by the bS and bR.
Finally, part c) completes the Platzwechsel cycle, with
1.Rd4 Bd2 2.Kd3 Kd1 3.Re4 Sb2 mate, with the bR and bK this time exchanging
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