How do you get the ruby and Sapphire so you can give them to celio in Pokemon fire red?

Go to mt ember and go into the cave that is blocked by rockets then go in the cave and in here you need strength here you find the ruby, after delivering the ruby to celio go to four island and go into icefall cave and get waterfall aka HM7 then go up the waterfall and save lorelei then go to six island go to dotted hole cut the door to go inside go into dotted hole fall into the hole then go up then left then right then down then grab the sapphire then chase the scientist outside he will be on five island go there go into the rocket warehouse then beat the scientist and deliver the sapphire to celio and there you go.