An "autobiographical" number is an integer with at most 10 digits such
that the leftmost digit of the number counts the number of 0's in the
number, the second digit from the left counts the number of 1's, and so
on.

(a) Find an autobiographical number

(b) Find the smallest autobiographical number.

(c) Find several autobiographical numbers.


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All midshipmen submitting correct solutions to problem #104 by noon on
Wednesday, November 24, win a cookie. The best solution will be posted on
the problem bulletin board.
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No explanations needed this time; a solution is "correct" if the number is
indeed autobiographical. Submit solutions to Prof. Hanna at
mathprob@usna.edu, or via the mailbox in Chauvenet 301.


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Problem #103 (the bracelet of numbered beads) produced some confusion: the
beads are in a loop, so there are no ends. Mdn. 1/c Gott and 4/c Milev
earn cookies. Prof. Meyerson's solution is posted on the bulletin board in
the Chauvenet lab deck corridor.


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