Is intlinprog able to include a lambda structure for the lagrangian multipliers in its output?

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I have this mixed integer linear programming optimization problem, and I assume the function intlinprog is my best choice. However, I need to use lagrangian multipliers for certain constraints, and when I searched the documentation for this function, I could not find a lambda structure in its output. I know that linprog can solve for a lambda structure, so I'm wondering if I can obtain the same information. If not, is there a better way to treat such constraints / Lagrangian relaxation methods? I'm eager to seek help from all the talented people out there who are way better users of MATLAB than me. Thank you.

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