A number of students are members of a club that travels annually to exotic locations.
Their destinations in the past have included Indianapolis, Phoenix, Nashville,
Philadelphia, San Jose, and Atlanta. This spring they are planning a trip to Eindhoven.
The group agrees in advance to share expenses equally, but it is not practical
to have them share every expense as it occurs. So individuals in the group pay
for particular things, like meals, hotels, taxi rides, plane tickets, etc. After
the trip, each student's expenses are tallied and money is exchanged so that the
net cost to each is the same, to within one cent. In the past, this money exchange
has been tedious and time consuming. Your job is to compute, from a list of expenses,
the minimum amount of money that must change hands in order to equalize (within
a cent) all the students' costs.