olymmath

KöMaL 2013 K361

    A digital clock displays twelve noon in the form 12:00. Let us interpret that as a four-digit number: 1200. The intermediate times (displayed as hours and minutes) between twelve noon and midnight can all be interpreted in the same way as four-digit numbers. What is the sum of all such readings of four-digit numbers from 12:00 to 23:59?

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