Eight couples have a five-course dinner. They start with 2 couples at each of four tables and finish with 2 couples (not the same two) at each table. After each course some men and women change tables, but maintain 2 men and 2 women at each table. The problem is to arrange these changes so that each person meets as many others as possible: that is, each man meets 5 other men and 8 women and each woman meets 5 other women and 8 men.