How do I create a random generating room course that...

(Tried to keep the title short, explains ellipsis)

So what I'm trying to accomplish is a simplistic dystopian game where you are trapped in a bizarre lab accompanied by a robotic AI. You try to get to the end but here's the catch. Every time you play it's a new experience. There's a whole new different set of rooms to navigate. I already have the random generating rooms done but is it possible to set a way so that the game remembers what those random rooms were.

For example:

Player goes from Point A to Point Random,

Player ends up in Point D,

Players goes back the way he came and instead of going to another random room, he/she ends back up in Point A,

And so on.

Almost like every time the player enters a room, it adds on to the "map" of the game.

I appreciate any help.

You say you have the generation done..

In what way do you generate the rooms?

Would it be possible to put the generated room in an array or save a tilemap asjson or..?

LittleStain

I currently have invisible objects off both sides of the level screen, placed on each layout(room). If player passes through the right object, there's a variable number that's chosen at random.

Ex.

Player goes right,

Random variable number,

If num = 1 go to Room A

If num = 2 go to Room B

I see what you are saying, which I would probably have to change this method to fit your idea.