Python: how to find out values of all feasible x under constraints -


i writing code using python now.

i want know how find out values of feasible x under constraints.

x = [x_1, x_2, x_3,…, x_10]

constraints:

x_i = 0, 1, 2, 3 or 4, i= 1, 2, ….10  x_1 + x_2 + x_3 +...+ x_10 <= 15

how find out feasible solutions x (domain of x) using python, [0,0,0,0,0,0,0,0,0,0], [1,1,1,1,1,1,1,1,1,1] etc ? should code?

any hint or highly appreciated!

sincerely,

eddie

if want use naive method of iterating through possibilities, can use itertools.product. can give possible solutions:

>>> possibles = itertools.product(range(5), repeat=10)

now can filter out tuples sum greater 15 using simple comprehension:

>>> solutions = [x x in possibles if sum(x) <= 15]

or in 1 line:

>>> solutions = [x x in itertools.product(range(5), repeat=10) if sum(x) <= 15]

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