To date, any combinatorial algorithm made by 100s of researchers in
this area including mine on such problem  will take 5 times or more
the computational time (say 5*3= 15 hours or more for my algorithm)
instead of (3 hours) if we do not create extra nodes.

And as I told you earlier, 450 million nodes are immediately
eliminated at creation. Therefore only 50 million nodes are
processed. And at any intermediate stage, I do not have more than 10
million nodes. Is there a fast way to write these 8 million nodes
data in a binary file etc.