Cutting the Necklace
Two thieves steal a necklace consisting of 10 rubies and 14 emeralds,
fixed in some a
itrary order on a loop of golden string.
Show that they can cut the necklace in two places so that when each thief takes one of the resulting pieces,
he gets half the rubies and half the emeralds.
Explore the question.
Whether you find the answer experimentally or not,
egin to formulate questions to extend the question and your investigation.
If the problem asks for a mean for instance,
a natural question would be to find other statistics such as the std or perhaps the distribution itself.
Please specify the mindbender which you will explore.
Provide the result of your
ainstorm regarding additional statistics or questions to explore.
The understanding is that this is just a beginning.
As you do more exploration, you will likely have additional ideas to expand your investigation.
Since this a computational course,
you must write code towards determining the answer and exploring extension questions,
even if you are clever enough to figure out the answer using mathematical reasoning.