Thanks to Jarek for the suggestion! What's a formula for the maximum product of a partition of a number? This was an Olympiad question and a Putnam problem! Special thanks this month to: Kyle, Lee Redden, Mike Robertson, Daniel Lewis. Thanks to all supporters on Patreon!   / mindyourdecisions  

0:00 Problem
1:11 Solution
6:40 Intuition

Math StackExchange
https://math.stackexchange.com/questi...
https://math.stackexchange.com/questi...
OEIS A000792
https://oeis.org/A000792
Putnam 1979, A1
https://prase.cz/kalva/putnam/psoln/p...
Maximum integer product
https://www.geeksforgeeks.org/breakin...
IMO 1976, B1
https://prase.cz/kalva/imo/isoln/isol...
IMO 1976, 4
https://artofproblemsolving.com/wiki/...
Product-maximising partitions
https://bldavies.com/blog/product-max...
The MaxProduct Partition
https://www.jstor.org/stable/23249541

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