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 Create this string (Posted on 2016-05-04)
The number N is a string of decimal digits in which every digit is a difference between two other digits.
Examples: 333012 is such a number. So is 1278990.

What is the smallest pandigital number that possesses the above feature?

 See The Solution Submitted by Ady TZIDON No Rating

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 Solution | Comment 1 of 6
I assume pandigital means it must contain all the digits from 0 through 9.

So we could start with 1023456789.  This satisfies the puzzle condition for all of the digits except the 0 and 9.  For the zero we just need to duplicate one of the digits, and the only way a 9 can be supported is by the presence of another 9 and a 0.  So all we need to do is add a 9 to the above starting point, and obviously to remain minimal we'd want to add it to the right, so we end up with:

10234567899

 Posted by tomarken on 2016-05-04 10:15:36

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