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a puzzle in computational maths

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a puzzle in computational maths

heya guys, I've got a little problem which i need to solve but i cant program at all.

Here goes.

using the digits 0-9 and only the plus and minus signs I need to know the smallest number which cannot be expressed as a "sum" using all these digits only once. You can use as many plus/minus signs as you want.

For example:

123+45-67+890 = 991
135-98+67+42+0=176

Of course, i can do all the combinatorics of the puzzle but actually solving by hand would take a lifetime, so I need a program to do it, or for someone to give the answer.