I apologize again for the scoring rules with the numbers round. In hindsight, I would have changed it from the original rules to make it so whoever is closest gets 5 points regardless. I hope you both enjoyed the game despite that flaw in the rules.
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Sorry to butt in, but I only caught up to this game now.
852 = ((5 * 10 - 10) * 7 + 4) * 3
Given a specific target number, there is always a two in three chance or higher (generally significantly higher) that the six numbers you get can hit that number precisely. Getting within 10 of the target is virtually guaranteed, unless you hit a terrible set, like {1, 1, 2, 2, 3, 3}.
Going to be getting progressively less and less active onsite due to work schedule, but still very accessible over Discord (find me in the MS Discord!).
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If you happen to know the factors of 85, I think the most obvious way to get close is (10 + 7) * 5 * 10 + 3 or (10 + 7) * 5 * 10 + 4 - 3, both of which get you within 1.