10x10

...the board filling game...
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Do you all know the divide and conquer paradigm?
You brake down a problem into sub-problems
that can be solved easily.
You then just need to combine them
to have the solution to the original problem.

First I was able to solve it for a 5x5 board:

24 4 1 18 5
11 16 22 8 13
2 19 25 3 20
23 7 12 17 6
10 15 21 9 14

Then combining and rotating the 5x5 solution,
I can actually solve any multiple of 5 board.

                   
                   
    25     26   50    
                   
    1              
              51    
                   
    100   76     75    
                   
                   

Have you noticed that you could move from 100 to 1?
It means that you have another 99 solutions for free:
just shift the numbering.
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