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Solve this challenge with a memory-efficient algorithm.

Edit: The bounty deadline has been extended by 1 day to give anyone close extra time to prepare their submission. This is a one-time extension; further extensions will not be made.

Challenge description here: https://raw.githubusercontent.com/chejazi/points-challenge/master/challenge.txt

Example interface here: https://github.com/chejazi/points-challenge/blob/master/example-skeleton.js

For questions, please open an issue

The most efficient algorithm submitted before the end of the challenge (Friday Jan 31) will earn the bounty. The bounty may be closed early if there is a winner that satisfies the constraints of the challenge. Pseudo-code is acceptable.

What's the initial input?

"Given the current interval, we should be able to compute the number of active points for each of the previous (completed) N intervals."

So with a current interval 6 and following the last example we would have something like this as initial input?

Interval number -> 6
N -> 4
Players current cash spent and points ->
Alice: $0.25 / 3.5
Bob: $0 / 0

Really interesting challenge, will take a swing at it but I think I'm missing something, would really appreciate some clarification.

Clarification on submission requirements.

I have an idea for an algorithm that determines previous interval total point amounts.
To clarify, the submission needs to only replicate the getIntervalPoints function showed in the skeleton.
Do I also need to implement the actual playing of the game or just show what data is stored by the play function each interval and show the algorithm?

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