In this question how do you define the size of the array to store
previous results while looking for a pattern. During the competition i
thought there is no way to be sure so i set the size of array to 10000
to be on the safe side. But it took too much time (more than 8 min)
and i missed the question. While doing experiments with my code i
changed the size of the array to 10, it gave me the correct result in
less than 2 minutes.

Is there a way to prove as few as 10 results would work to decide if a
pattern is found?

In my case there is no limit to result calculation by the way, i just
store and check the last 10 results with the one i found to see if i
have a pattern.

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