Brain Teasers
Knight's Tour
One day, a knight went to the legendary kingdom named Breadland. The Breadlanders love eating bread. They also play chess. What's different from normal chess is that the chessboard they use is 9x7, each player has a queen on each side of the king, one is next to the king and the other is between a bishop and a knight. Also, each side has one more pawn, so that there are totally 4 queens and 18 pawns on the chessboard. In fact, Breadland is a chessboard itself, and is of course 9x7.
The knight was on a square of Breadland, he wanted to visit each square of Breadland exactly once, and return to the square he was originally on. Each step, the knight moved to one of the squares nearest to that on which it stands but the queen can't reach.
Could the knight achieve his goal?
The knight was on a square of Breadland, he wanted to visit each square of Breadland exactly once, and return to the square he was originally on. Each step, the knight moved to one of the squares nearest to that on which it stands but the queen can't reach.
Could the knight achieve his goal?
Answer
Color the chess board alternatively black and white, and suppose the lower left corner is black, as in normal chess. Then each move of the knight brought him from a black square to a white one, or vice versa. If he could achieve his goal, there must have been as many black squares as white ones. However, there were 32 black squares and 31 white squares. Hence, the knight could not achieve his goal, and had to repeat some white square.Hide Answer Show Answer
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Comments
Great one kiss, almost had it, but I made it harder than it should have been
Good job, this woke my brain up for good.
Great teaser but you should of added a hint about the same amount of colors.
Great teaser but you should of added a hint about the same amount of colors.
in chess, the bottom right square is white...good job though
good job, i almost had it, i was thinking of the colors but didnt have my finger on it
Cool teaser
This is a cool Teaser !!!!!!!!!!But yall be comeing with some off the wall stuff!!!!!!!!!But it is a good 1 that I have seen yet.....Way To Go....
The answer was pretty stright-forward to determine with a little thought.
However, the wording in the teaser "but the queen can't reach" was confusing. What is that supposed to mean?
However, the wording in the teaser "but the queen can't reach" was confusing. What is that supposed to mean?
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