Problem 4: (14 points) A gala is being organized for the students of a masters program. To promote exchanges, it is desired that no more than three students from one country sit at the same table, and no more than six from the same continent. Use a maximum flow formulation to determine whether one can find a seating arrangement. There are eight countries with respectively $1,..., 8 students. The first three countries are in Asia, the next three countries are in Europe, and the remaining two are in North America. There are n tables with respectively t1, ..., in seats