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knight + bishop checkmate

The king+knight+bishop checkmate is very rare in tournaments.Perhaps it would be more common if players realised that many of their opponents would be technically incapable of effecting a checkmate within the 50-move rule. If you are going to lose anyway you might as well sacrifice your remaining piece for your opponent's last pawnand put your opponet to the test. Unfortunately,my opponents are aware of this possible deficiency in their endgame technique, so they grimly hold onto their last pawn!
Is it worth your while to learn this most difficult of all checkmates? After all, you may never be put to the test in your whole chess career. However, I would be embarrassed to fail such a test,so I practice it from time to time.I discovered something new about it the other day,at least new to me.
White: king b6, bishop a6, knight h3
Black: king a8.
The knight can take up to four moves,depending on where it starts from,to arrive at f3. You may be short of time,reaching the 50 move limit or fearful of stalemating your opponent's king when the knight does reach f3. You don't want to start the knight's tour again.You can remove the calculation factor by simply knowing that the knight must stop one square short of f3.If your next move is a check with the knight then the next move is checkmate with the bishop. If your next move is not a check with the knight, then give a check with the bishop and checkmate with the knight.

Chess Quotes

"In order to improve your game, you must study the endgame before everything else, for whereas the the endings can be studied and mastered by themselves, the middle game and the opening must be studied in relation to the endgame."
— Jose Raul Capablanca, World Champion 1921-1927

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