Hi I am new to cp. What paths can I follow to ensure quick progress and high ranks in future ioi and what topics should I learn by order. I would appreciate your help.
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It does not really matter.
Many beginners find A2OJ ladders useful just to have some "path" to stick to. The ones near the bottom only show you one task at a time, which means you have to actually solve everything in there.
One warning though. Please don't have a mindset of "if I do these X things, I will succeed" or go looking for some sort of checklist. This very easily leads to a situation where people tell themselves they practiced while actually, they haven't done anything productive.