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But if black king moved from e8 and the white king still has the ability to move as a knight, then it was in double check, neither of which can be discovered. This seems impossible to me (correct me if I am wrong), therefore I don't think white king would retain the ability to move like the knight, either. (The other way for the black king to lose the ability to move like a knight is if it had reached d8 from a knight move, but this is also impossible because there is nowhere for it to move from.)
Note: in this problem, it can be determined that the Black king no longer has his "move-like-a-knight" privilege. Which seems to be essential to the solution; otherwise, White would be moving into check on his second move. What piece did Black move last? Obviously not a pawn (the pawns haven't moved yet), so he must have moved his king. Moreover, he must have moved his king from e8; all other nearby squares are either occupied or are adjacent to the White King. So Black just moved his king out of check from the pawn on d7; thus, the Black king can no longer move like a knight. Also, I think this problem is cooked; 1.Gxb7 seems to work just as well. Please correct me if I'm wrong. -Joseph DiMuro
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