Revision 20b36d56-80b8-4bc0-9b22-41965c110206 - Code Golf Stack Exchange

# [C# (Visual C# Interactive Compiler)], 301 bytes

<!-- language-all: lang-cs -->

 n=>Enumerable.Repeat(Enumerable.Range(1,n.Max(x=>x.Max())),n[0].Count).Aggregate((IEnumerable<IEnumerable<int>>)new[]{new int[0]},(a,b)=>a.SelectMany(x=>b.Select(y=>x.Append(y)))).Single(x=>n.All(l=>{int z=0;var i=x.ToList();var p=l.All(o=>o==i[z++]|o<1);x=x.Skip(1).Select((a,b)=>a+i[b]);return p;}))

[Try it online!][TIO-jyqzgi27]

[C# (Visual C# Interactive Compiler)]: http://www.mono-project.com/docs/about-mono/releases/5.0.0/#csc
[TIO-jyqzgi27]: https://tio.run/##fVNNb@IwED2TXzFHW2SjGEovwZbQqodKrVZaKu0BcTDpkFoNTuQYNkDz21k7lM@lVaLJzMvMezPxJK1@pJXajVKrCj18UpXdG6WtEGLOd5qLB71coJGzHKPfWKK05ByROkPCQh09y5rUXNStQykN9SSeRj@LpbY0GmWZwUxaJOTxVD0891tJqvHvZLp1FlzsCJqQyHBGuZDRGHNM7bPUa68z@4zJ2muOyhL1K1k7XRqNlc5y9Ek6GuU5ybnYOjbY8DhZSQOK19FL4ecktAVKnreJBRcF52qy6XanH8WQ0aR2qeN3VRJGD3qHfrpqMpvSxKBdGg1l0lC6SwJPt@HHKY6WxU0IezcO4SLoXcX7mzUNhME5Rb/3JUV8k@IW9CXqX1wrnlLZrYbYZT//vT6VD0IYHAM3b99Nfavfa4rB9xM3TRLMC4MyfSP@w1duaWBDg441a9gGnY4HLXCoDoe34GJxPHvq9nmFpkJCT/vgqubEts8/Rll8UhqJNUv0UAOptOkbkEe9krl6/VW65fW/zkOdYukdQLq9KJ3LvNrXBrs@MH8FcAc96AUA93DnLLD4Hw "C# (Visual C# Interactive Compiler) – Try It Online"