Determine the possible real value of n such that:
Arctan(1/3)+Arctan(1/4)+Arctan(1/5)+Arctan(1/n)= Arctan(1)
On a normal 8x8 chessboard, find a complete
Knight's Tour.
A Knight's move is as in chess, an L shaped move, 2 squares in one direction and 1 square in the other direction.)
A Knight's Tour is one where the knight passes through each square exactly once.
You may start on any square you wish.
* For extra credit, come up with a re-entrant tour: at the end, the knight is exactly one knight's move away from the starting square.
* For EXTRA extra credit, make sure that the path is, in some way, symmetrical.
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Since "Knight's Tour" is a term used outside the scope of this problem, I'm sure you can find an answer on the internet. Please find an independent solution.
This does not require a computer program.
Latest: 
Bonus: 
