I came across the same problem. Everything runs smoothly till n=7
and suddenly it takes forever to calculate for n=8
.
The problem lies with the order in which you are checking for the moves. You are using :
xMove[8] = { -2, -2, 2, 2, -1, -1, 1, 1}
yMove[8] = { -1, 1, -1, 1, -2, 2, -2, 2}
If you plot these vectors in the 2D plane, they are haphazardly placed. In other words, they are not ordered in either a clockwise or an anti-clockwise manner. However, by using this instead :
xMove[8] = { 2, 1, -1, -2, -2, -1, 1, 2 }
yMove[8] = { 1, 2, 2, 1, -1, -2, -2, -1 }
If you plot these vectors, they are neatly arranged in an anticlockwise circle. Somehow this causes the recursion to run much quickly for large values of n
. Mind you, it still takes forever to calculate for n=9
onwards.