User talk:Drseudo/Seating

Given $$n$$ people, let each person $$x_j$$ (with $$1\leq j \leq n$$) assign to each person $$\{x_k\colon k\in\{1,\ldots,n\}\setminus j\}$$ a real value $$w_{jk}$$, where (for scaling purposes) $$0\leq w_{jk} \leq 1$$ for all $$j,k$$.