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Chessprint
December 12, 2004









Although invisible, the White king is somewhere
on this chessboard.  Where is he?

Find the Solution


[Index of Chessprints]

 

 

 

 

 

 

 

 

 

 

 

 

Solution
 








The Chess Mysteries of the Arabian Knights
by Raymond Smullyan

This puzzle comes from the introduction to Professor Smullyan's fantastic collection of retrograde analysis puzzles.  Learn more about this type of puzzle at the Retrograde Analysis Corner.

Although invisible, the White king is somewhere
on this chessboard.  Where is he?

The step-by-step solution:

  • Either Black is in check, or the White king stands on b3.  However on b3 the king would be in double check, and it is quite impossible to create a sequence leading to that position.  Hence, Black is in check, and White made the last move.

  • The only way White could have checked Black is to have discovered the check by moving a piece from either b3 or c2.  Since the only other piece on the board is the White king, it had to have been standing on b3.

  • The only way the White king could have been exposed to double check on b3 is by a black pawn on b4 capturing a White pawn en passant on c3.

  • Since the king on b3 would still have been in check from the d5-bishop, the White pawn must have been on c4.  For en passant to have occurred the pawn had to have just moved from c2-c4.  Let's see, so far we have reconstructed 1.c2-c4 b3xc3 2.Kb3-somewhere.

  • The black pawn which captured the White pawn en passant is no longer on the board, so White must have captured it, hence the White king must be on c3.

  • Going back a bit further, the sequence of moves would have begun with a Black check involving the bishop:  1...Bd5+ 2.c4 bxc3+ 3.Kxc3


[Index of Chessprints]

 

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