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Omni-MATH / Each of the integers 1,2,…,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 dig…

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problem

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 \ldots How many times in this string does the substring 012 appear?
Plain-text mathematical notation (without MathML)
Each of the integers 1,2,…,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…… How many times in this string does the substring 012 appear?
Original LaTeX notation
Each of the integers $1,2, \ldots, 729$ 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: $12101112202122 \ldots \ldots$ How many times in this string does the substring 012 appear?

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task_id
ccde91d9-37cd-5402-9c3d-6ee704b41539
task_key
test--ccde91d9-37cd-5402-9c3d-6ee704b41539
task_revision_id
1
config / split
/ test

Official source

initial import