Chunk & Sum
[a lot of stuff erased from the last 3 days] ____________________ Update October 29th, 2019: Hello Math-Funsters and Seqfans , forget the mails I've sent recently to both your mailing lists, they were criticized by so many people(for Vantablack obscurity ) that I've decided to rephrase the Chunk & Sum idea from scratch... Imagine I give you the 10 wooden blocks shown here – each one is marked with an integer taken from the set 1 to 10. It is asked to concatenate those blocks to form a single integer – for instance the 11-digit integer 51263478910. The next step is to chunk this number in as many pieces as you want – but you must obey three rules: Rule (0): you cannot cut between the digits of a single block marked with an integer > 9 (this means here that you don't split the 1 and the 0 of "10"). Rule (1): the chunks must be monotonically increasing. Rule (2): their sum must be the smallest possible one. Example : According to the ...