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MathNet 2022-part-03 — 197 problems (EN–VI) Question 92

Math Olympiad Vault · MathNet 2022-part-03 — 197 problems (EN–VI)

Question 92

The set of numbers $0,1,2,\ldots, 2022$ is divided into two groups. The first group contains the numbers with an even digit sum, and the second group the numbers with an odd digit sum. Find the difference between the sum of the numbers in the first group and the sum of the numbers in the second group.