# We can go from one to sixty quickly, right?

Logic Level 3

Let $$N$$ denote the concatenation of the first 60 positive integers:

$N = 1234567891011121314...585960.$

Remove any 100 digits from $$N$$ without rearranging the remaining digits, and call the resulting number $$M$$. What is the largest possible value of $$M$$?

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