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max_score is a temporary table with 2 columns: hacker_id and score where score is the MAX(Submissions.score) the hacker got in each challenge as you can see by the GROUP BY clause. You can imagine max_score like this:
challenge_1 -> list of hackers -> their respective max scores, challenge_2 -> list of hackers -> their respective max scores,
...
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max_score is a temporary table with 2 columns: hacker_id and score where score is the MAX(Submissions.score) the hacker got in each challenge as you can see by the GROUP BY clause. You can imagine max_score like this: challenge_1 -> list of hackers -> their respective max scores, challenge_2 -> list of hackers -> their respective max scores, ...