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MathNet 2023-part-05 — 191 problems (EN–VI) Question 12

Math Olympiad Vault · MathNet 2023-part-05 — 191 problems (EN–VI)

Question 12

A positive integer is called *special* if all of its digits are nonzero and any two adjacent digits are consecutive (not necessarily in ascending order).
a) Find the largest special number for which the sum of its digits is $2023$.
b) Find the smallest special number for which the sum of its digits is $2022$.