N is a positive base ten integer satisfying:

sod(N) + sod(sod(N)) + sod(sod(sod(N))) = 2007.

where, sod(N) denotes the sum of digits of N.

Determine the minimum value of N.

(In reply to a lower number by Steve Herman)

No doubt , you are right, I just treated it carelessly, albeit very quickly- a minute or two at most.

Intuition is not the optimal guide.

Posted by Ady TZIDON on 2011-02-15 15:24:24