🚀 go-pugleaf

This is probably a silly question, but I can't learn if I don't ask
questions:

I have the following data analysis problem:

I have a set on values: { y_i }

I hypothesize that these values are related to some x's
by

	y_i = sum_{n=1}^D x_n(i) 

x_n(i) are just some values and more than 2 y_i may have an x_n(i) in common.
Generally, D will be 1-10 :

For example :

  x_1(1) = 1   x_1(2) = 1
  x_2(1) = 1   x_2(2) = 2
  x_3(1) = 2   x_3(2) = 1
  x_4(1) = 2   x_4(2) = 2

so: y_1 = 2    y_2 = 3    y_3 = 3    y_4 = 4

The questions are : (1) can I figure out what D is ?
                    (2) can I giure out the x_n(i) ?

Answers to either question are appreciated

Thankyou --David Chasman