A jury of twelve has been deliberating for some time when the process breaks down. The jurors are tired and irritable and begin arguing and talking over one another, when one juror has a suggestion. "why don't we line up the chairs in two rows of six and each sit accross from each other juror for five minutes and share are thoughts, so that every juror can hear what every other juror has to say? In less than an hour we could each hear everyones opinion!"
Like so... (where h's represent chairs)
h h h h h h
h h h h h h
The jury agrees that this is a good idea, but in practice this becomes difficult as well. They start with each juror moving one chair to the right after each interview, but after meeting with only half of the other jurors they find themselves in front of the first person they spoke with again.
Help the jury get unhung so that the defendant can be. What is the simplest rotation in which each juror can speak with each other juror?
This puzzle actually can up in real life, although not on jury duty.
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A jury of twelve has been deliberating for some time when the process breaks down. The jurors are tired and irritable and begin arguing and talking over one another, when one juror has a suggestion. "why don't we line up the chairs in two rows of six and each sit accross from each other juror for five minutes and share are thoughts, so that every juror can hear what every other juror has to say? In less than an hour we could each hear everyones opinion!"
Like so... (where h's represent chairs)
h h h h h h
h h h h h h
The jury agrees that this is a good idea, but in practice this becomes difficult as well. They start with each juror moving one chair to the right after each interview, but after meeting with only half of the other jurors they find themselves in front of the first person they spoke with again.
Help the jury get unhung so that the defendant can be. What is the simplest rotation in which each juror can speak with each other juror?
This puzzle actually can up in real life, although not on jury duty.
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