olymmath

HMMT November 2017 H5

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Each of the integers 1,2,…,7291,2, \ldots, 729 is written in its base-3 representation without leading zeroes. The numbers are then joined together in that order to form a continuous string of digits: 12101112202122…12101112202122 \ldots. . How many times in this string does the substring 012 appear?

Dataset text NuminaMath olympiads. Quoted with source.

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148

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