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CHESS TACTICS #100542

Problem's rating:1657
Avg. time to solve:02:02
Total attempts:229
Solved percentage:65.5%
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zwitscher-tron
25-Feb-12, 20:42

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so the Knight coming to e4 is threatening to take the rook on d1 by checking on f2. But why does the queen have to sacrifice ? Or is it just that after
2. Qxf8+ Kxf8 3. Rd8+ Ke7 4. Rd7+
white is hoping for 4. ... Kf6 so that 5. Rxf7# can be played ?

Is there really no hope for white after losing its rook? Or is there something else i don“t see?
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