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Knight's Tour II

Math brain teasers require computations to solve.

 

Puzzle ID:#26735
Fun:*** (2.28)
Difficulty:*** (2.93)
Category:Math
Submitted By:kissA****

 

 

 



The knight left Breadland, and went to a neighboring kingdom named Cakeland. Cakeland is much similar to Breadland, but unlike Breadland, Cakeland is 12x4. Cakelanders like cake, as well as Breadlanders like bread.

The knight was on a square of Cakeland, he wanted to visit each square of Cakeland 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.

The knight thought that since Cakeland has an even number of squares, he could achieve his goal this time.

However, the knight still failed.

Do you know why?

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