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This week, we have a selfmate. Unlike the helpmate, where the two sides cooperate,
here White (to move) is trying to force a reluctant Black to mate him. It looks
pretty unlikely, given the space around the white king, and the miserably inactive
black forces. However, Black's only legal moves, capturing on c7, will bring his
forces to some degree of life, and White can exploit this.
The key is 1.Qg7!, stepping over the critical squares e5 and f6. Now Black has two
A) 1...Rxc7 2.Ke5+! and now after any move of the BK, eg. 2...Kxa1 there follows
3.Kd6+! and Black's only legal move is 3...Rxg7#
B) Likewise, after 1...Bxc7 there comes 2.Kf6+! and once again, either BK move, eg
2...Kxa1 runs into 3.Ke7+! forcing the reply 3...Be5#
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