I will continue the previous post. Now the question to be answered is that:
What percentage (or how many) of given grid can be covered by following Cross Diagonal Cover Algorithm?
I did some calculations, for example:
As per my calculations, I have following conjecture:
The following 3 cases are possible:
- If , then squares will be covered.
- If and both are odd, then squares will be covered.
- If at least one of is even then squares will be covered.
As you can see that Case – 1 is quite trivial. I tried to prove other two cases for one week, but failed, so decided to post it as conjecture.