IMC Quantitive Trading Intern Chicago

2 questions, 50 minutes

q1. for {1,…,16} find maximum total value of numbers if you can only take numbers with a proper divisors still in the set with all proper divisors of chosen number being removed. find upper bound for the max number of numbers you can

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hold for using discards. give optimal scores for all possible L values. expected optimal score with scrap, expected optimal score without scrap. expected value of scrap option.