a logic puzzle

[dchenes]

You have 22 candidates for promotion, each of which needs a primary and a secondary reviewer.

You have 14 available reviewers, none of whom can review more than four cases total (as primary or secondary reviewer).

No reviewer can review a candidate in the same institution or department as the reviewer's.

4 of the 14 reviewers and 14 of the 22 candidates are in the Department of Medicine.

How on earth is this going to work?

(Edited because we got another non-Medicine reviewer, and got permission to give reviewers four cases apiece if we have to.)

Comments

[siercia]

It can't be done. Leaving aside the issues of Department, you have 44 reviewer-needed slots, and only 39 reviewer-available pegs to put into those slots.

[silverbackbutch.livejournal.com]

no, this is a math puzzle. And a logic puzzle. But mostly a math puzzle.

So, you have a need for 44 case reviewers (both 1 & 2).
You only have enough reviewers for 39 cases.
And of that shortage of reviewers, 12 of the review slots can't review 28 of the cases

QED, you are fucked.