The 1000 Bottle Challenge!

Team: 
The Infinitesimal Decimal
Topic: Logic
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A secret agent named Edna must find the optimal method of finding a secret formula in a like of 1000 bottles. Edna uses mathy stuff to get the formula before the crooks who are trying to steal it!
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Common Core Standards: SMP
Problem #: 
167 (2017-2018)
Problem Difficulty Level: 6 [?]