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  • $\begingroup$ Thanks but they're definitely nonlinear... even the example I gave isn't linear. $\endgroup$ Commented Mar 13, 2016 at 9:24
  • $\begingroup$ @Mehrdad As you can see NMinimize handle some nonlinear constraint. And the example given can be expressed as linear. You can combine this approach with Solve and a search on binary trees or, more simply, with a full search to get what you want. $\endgroup$ Commented Mar 13, 2016 at 9:35