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(495) 2

Part of 1996 Tournament Of Towns

Problems(1)

TOT 495 1996 Spring S O2 9 digits sum

Source:

8/16/2024
The digits 1,2,3,...,91,2,3,..., 9 are written down in some order so that they form a 99-digit number. Consider all triples of consecutive digits and find the sum of these seven 33-digit numbers. What is the largest possible value of this sum?
(A Galochkin)
number theory