How to enforce a Square number constraint in Microsoft Solver foundation OML?

Question

I want to limit the result to only square numbers ( I am using excel plugin). How do I enforce this?

As in, Minimize Goal X subject to a condition that X is a square number.

Answer 1

Create an adjustable cell, Y and restrict it to be an integer. Set the equation that you are trying to minimize equal to Y^2.

Answer 2

Mark's answer helped. The solution in OML would look like

Model[ 

Decisions[ .... ],  

Decisions[  
Integers[10000,31622],y  
],  

Constraints[  
x == y*y,  
... ]  

]