The spirit of Christmas is most apparent in the exchanging of presents! Santa
Claus would like software to make this unnecessary. He has already decided
which present should be given to each person, but he is wondering if he could make
Specifically he has estimated the intrinsic value of each present to each
person. He wants software to determine if there is a group of people whose
total value would be increased by redistributing the gifts within the group.
Some people might end up with a worse present, but the total value is what
Santa must consider. If such a group exists, Santa would like to know the
size of the smallest such group, and how much the total value of their
presents can be increased by.
The intrinsic value of the presents to each person is given in a String value.
Each character in each element of value is an uppercase letter,
with 'A' signifying a value of 1,
'B' a value of 2, etc. The j-th character in the i-th element of value is the
value of the j-th present to the i-th person.
The original intent of Santa was to give the first present to the first person, the second present to the second person, etc.
Create a class SantaClaus that contains a method exchange that is given the String
value and returns a int containing two elements: the first element is the size of
the smallest improvable group, and the second is the amount by which their total value can
be increased. Report the largest possible increase in value for a group of that
size. If there is no improvable group, return 0 in both elements.