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2024 InIMC keystage2-EMIC team Question 2

xIMC · 2024 InIMC keystage2-EMIC team

Question 2

The following number:
$$123456789101112131415\cdots444424444344444$$
is made up by writing all the integers from 1 to 44444 consecutively in increasing order from left to right.

How many times does the string “2024” appear in the given number?

Question illustration

Paper instruction: Give a full solution.