posted by raja harishchandra .
Let S(N) denote the digit sum of the integer N. As N ranges over all 3-digit positive numbers, what value of N would give the minimum of M=N/S(N)?
This seems to be a programming challenge.
While this can probably be worked out in mathematical terms, it is easily shown by exhaustive search that the 3-digit number is 199, where the minimum quotient is
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