I have a series of equations:

x0*y0 = t0

x1*y0 + x0*y1 = t1

x2*y0 + x1*y1 + x0*y2 = t2

x3*y0 + x2*y1 + x1*y2 + x0*y3 = t3

and so on... where tn are constants >= 0, xn, yn are either 1 or 0

I am trying to find a way to compute solutions for a given set of 't' constants

(Obviously only certain sets of 't' constants have solutions ). The number

of equations may be potentially quite large ( ie hundreds! ).

Any ideas ?