>A woman has 3 close friends. Over the course of a year she dines out a total of 52 times,
and in so doing has dinner the same number of times with each of her close friends. If
she has dinner with each pair of close friends 16 times, with all three of them 8 times,
and dines out alone 11 times, what is the total number of times she had dinner each
close friend?