7 mixed fruit appetizers would do the trick... but make for a boring 
lunch!

;-)

Rob


On 07 12, 07, at 5:31 AM, Pablo Manalastas wrote:

> I am working on a program to solve the linear
> Diophantine equation in N variables.  So far, it can
> solve for any N, but the solutions are, as yet,
> integers.  I still need to write the part which
> selects only non-negative solutions. I gave my solver
> the restaurant ordering problem:
>
> ./diophan 215 275 335 355 420 580 1505
>
> and it gave back the solution:
>
> x1 = -6923 +55t1 +1541t2 +1633t3 +1932t4 +2668t5
> x2 = 5418 -43t1 -1206t2 -1278t3 -1512t4 -2088t5
> x3 = 0 +1t2
> x4 = 0 +1t3
> x5 = 0 +1t4
> x6 = 0 +1t5
>
> where t1-t5 are any choice of integers. By playing
> around with the values of t1-t5, there may be a way of
> getting x1-x6 all non-negative. From a problem with 6
> variables, we now have a problem with 5 variables.
>
> Still hard, but is there light in the tunnel?
>
> P~Manalastas
>
>
> --- Daniel Escasa <[EMAIL PROTECTED]> wrote:
>
>> http://xkcd.com/c287.html
>
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