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A person is standing at a corner of $4\times4$ square, he would like to travel each block exactly once before exiting from the opposite corner. Is there a way?

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    $\begingroup$ Move diagonally. $\endgroup$ – Ian MacDonald Apr 15 at 4:43
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    $\begingroup$ Or use a Knight's move! $\endgroup$ – JMP Apr 15 at 4:47
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Answer:

NO

Explanation:

Colour each cell black or white like a checker board and suppose the starting point is black. Then the ending point is black. S means starting point and E means ending point.
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That person has to walk $4^2-1$ times, so that person must end at a white cell. Not a black cell.

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Well,

Some lateral thinking gets the job done:
Solution

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