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Mathematics, 25.11.2021 15:50 Horde

Let us call a positive integer "lucky" if its digits can be divided into two groups so that the sum of the digits in each group is the same. For
example, 34175 is lucky because 3 + 7 = 4 + 1 + 5. Find the smallest 4-
digit lucky number, whose neighbor is also a lucky number (i. e. the
integer next to it is a lucky number as well).

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