29. The following example illustrates how badly the Hare system can fail to satisfy monotonicity. Consider the following sequence of preference lists:
Rank
Number of Voters (21)
7
6
5
3
First
Second
Third
Fourth
Show that is the unique winner if the Hare system is used.
Find the winner using the Hare system in the new election, wherein the three voters on the right all move from last place on their preference lists to first place on their preference lists.