and with those two things together we can reduce our tree search quite a bit so now instead of expanding all the tree let's go back to the tree right here you can ask your p hey p which one of these three should i even consider and maybe p says you should only consider those two okay and then you go down and again you ask your p hey p which one should you consider and p maybe says well here you should consider those two here you should only consider that this one and this three over here we've we've already discarded this