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Thread: Autobiographical Numbers

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    Autobiographical Numbers

    Autobiographical Numbers or self-descriptive numbers

    the puzzle: In the ten boxes below, write a ten-digit number. The
    digit in the first box indicates the total number of zeros in the entire number. The box
    marked 1 indicates the total number of 1 's in the number. The box marked 2 indicates the total number of 2's in the number, and so on

    Row 1: 0 1 2 3 4 5 6 7 8 9
    Row 2: 6 2 1 0 0 0 1 0 0 0


    in the book Keys to Infinity https://archive.org/details/keystoin...00clif/page/n9
    chapter 28 (Chaos in Ontario) the author said that
    Tomas Oliveira e Silva from Portugal found the solution to the first part of the puzzle
    (6210001000) using a C program running for 0.2 seconds on a DEC Alpha 3000 400
    . A full solution is:
    Rl =0123456789
    R2 = 6210001000
    R3 = 0004440444
    R4 = 6660006000
    R5 = 0004440444
    unfortunately he does not provide the C code.

    ref:

    https://blog.tanyakhovanova.com/2007...hical-numbers/
    https://arxiv.org/pdf/0803.0270.pdf Autobiographical Numbers
    https://archive.org/details/keystoin...00clif/page/n9 Chapter 28 chaos in ontario
    Attached Files Attached Files

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