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    $\begingroup$ Great answer! Can you elaborate on your approach? $\endgroup$
    – Dmitry Kamenetsky
    Commented Jul 16, 2020 at 23:59
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    $\begingroup$ I'm using integer linear programming, where the main decisions are represented by binary variables $x_{i,j,k}$ that indicate whether cell $(i,j)$ contains value $k$. $\endgroup$
    – RobPratt
    Commented Jul 17, 2020 at 4:14
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    $\begingroup$ Thanks. I thought this was the case as ILP is your favorite tool. $\endgroup$
    – Dmitry Kamenetsky
    Commented Jul 17, 2020 at 4:20
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    $\begingroup$ Haha, you always amaze me with your application of ILP in various places RobPratt. Have a +1. Can you describe more what you mean by using binary variables $x_{i,j,k}$ to make decision? Don't we need some sort of sequence in the mix? $\endgroup$
    – justhalf
    Commented Jul 17, 2020 at 5:06
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    $\begingroup$ I don't know whether this solution is optimal. I will describe the full ILP formulation later. $\endgroup$
    – RobPratt
    Commented Jul 17, 2020 at 14:55