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A certain charity recruits twelve volunteers each year to spearhead its fundraising efforts. Each volunteer is assigned one month to take the lead organizing events.
A certain charity recruits twelve volunteers each year to spearhead its fundraising efforts.
Each volunteer is assigned one month to take the lead organizing events. As these are
volunteers, the charity does it best to accommodate everyones schedule as much as
possible. Before the year begins, each volunteer is asked to give his or her top three
choices for a month to serve. These preferences are likely to overlap. For example:
Susan John Mary
first choice December December March
second choice February March May
third choice April February April
Obviously both Susan and John cannot be assigned December; one of them will need to
be assigned a different month. The best possible assignment for the three volunteers
ignoring the other nine for the moment would be
Susan February John December Mary March
as John and Mary get their first choice and Susan receives her second. For twelve
volunteers, the task above is humanly unmanageable, and so the charity has contacted
you to automate this process for them.
The charity proposes that the following point system be used when determining the
desirability of a particular month assignment to its volunteers:
points for each volunteer assigned his or her first choice
points for each volunteer assigned his or her second choice
point for each volunteer assigned his or her third choice
points for each volunteer not assigned any of his or her choices
Thus, each of the possible assignments of months to volunteers will have a
desirability between and Your task is to find the best calendar assignmen
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