MathDB
2016 Discrete #3

Source:

August 10, 2022
2016Discrete Math Test

Problem Statement

Julia adds up the numbers from 11 to 20162016 in a calculator. However, every time she inputs a 22, the calculator malfunctions and inputs a 33 instead (for example, when Julia inputs 202202, the calculator inputs 303303 instead). How much larger is the total sum returned by the broken calculator? (No 22s are replaced by 33s in the output, and the calculator only malfunctions while Julia is inputting numbers.)