Problem

The city council in Perfect City has changed the numbering scheme for the 200 houses on...

The city council in Perfect City has changed the numbering scheme for the 200 houses on Elm Street. The houses will be renumbered with the natural numbers from 1 through 200. A city worker is given a box containing 1000 metal numbers, 100 of each digit, and told to distribute new house numbers in order of the addresses starting with 1 Elm Street. What address is the first one for which she will not have the correct digits?

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