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all six-digit natural numbers from 100000 to 999999 in a row no spaces

Source: 2017 Latvia BW TST P7

December 18, 2022
number theoryDigitscombinatorics

Problem Statement

All six-digit natural numbers from 100000100000 to 999999999999 are written on the page in ascending order without spaces. What is the largest value ofk k for which the same kk-digit number can be found in at least two different places in this string?
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