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From: Mark Lawrence <breamoreboy@yahoo.co.uk>
Subject: Re: Python: How to find out values of all feasible x under constraints.
Date: Fri, 15 May 2015 13:35:18 +0100
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On 15/05/2015 04:58, Xiang Zhang wrote:
> Dear all,
>
> I am writing a code using Python now.
>
> I want to know how to find out values of all feasible x under constraints.
>
> x = [x_1, x_2, x_3,..., x_10]
>
>
> constraints:
> x_i = 0,1,2,3 or 4,          where i=1,2,....10
> x_1 + x_2 + x_3 +...+x_10 <= 15
>
> How to find out all the feasible solutions x (domain of x) using python, like [0,0,0,0,0,0,0,0,0,0], [1,1,1,1,1,1,1,1,1,1] etc ? What should be the code?
>
> Any hint or help would be highly appreciated!
>
> Sincerely,
>
> Xiang Zhang
>

There are several constraint libraries on pypi if you don't want to roll 
your own.  See for example 
https://pypi.python.org/pypi/python-constraint/1.2

-- 
My fellow Pythonistas, ask not what our language can do for you, ask
what you can do for our language.

Mark Lawrence