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Arrays
One of the basic and very simple one to start with. I would try to get different questions from multiple sources and add up them here.
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Trees
Trees are a very good example of graphs. I personally like solving such questions, even though I had failed so many times on solving them, but they are fun to play with.
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Dynamic Programming
Interesting fact: If you can't solve a problem in one go, create small problems out of it, solve them and use their results
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Heaps
Nothing much to say over here. If you want to know minimum or maximum data in your list/array, min/max heaps are your best option.
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