How does the judging system compute Rank? .. I found this blog but it's for codeforces rating.
Can any algorithms help me to compute rank?
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The blog you are referring to is for codeforces' rating system there isn't something similar in the ICPC events because they don't have a rating system they only compute rank per contest.
here's how they compute it:
Teams are ranked according to the most problems solved; if two teams have the same number of problems solved the one with the least total time (penalty) gets a higher rank. also, there is a +20 minutes penalty for each rejected submission.