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#1 Ansbach

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Posted 16 February 2008 - 06:56 AM

OK, so for those of you who think logic puzzles are just brainpower practice, I have a real-life puzzle for you as tough as any Mensa logic puzzle: creating an employee schedule! :o

A new department is created and four employees are hired to fill the department's schedule. The schedule has the following requirements:

Saturdays and Sundays - exactly one person working day shift, one person working night shift (with the other two off).
Mondays through Fridays - at least two people working day shift (which means one weekday has to be three day people, the other four weekdays will have to be two), exactly one person working night shift.

The employees have the following requirements:
Each employee must work exactly five days.
Each employee must work at least one night shift.
Each employee must have two days off in a row.
An employee can not work a day shift immediately after a night shift.

We spent about two hours on this and couldn't figure it out. It is either impossible to solve or we got stuck in a rut. Either way I figured you all would be better at this than us and can figure it out or determine that it is impossible. It really works as a classic "grid" logic puzzle - we started by creating four rows under the seven days of the week for employees A thru D, and then filling in a Saturday with Day/Night/Off/Off. We would build off of that using our rules but could never get Employee D's schedule to work.

Thanks in advance and good luck!
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#2 bonanova

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Posted 16 February 2008 - 04:14 PM

Spoiler for Relax ... It's impossible.

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell




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