MLM Numbers Game

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Matthew and Dan,

Here are your function results compared...

For a population of 20000:

              Matthew          Dan
Soldiers       18945          18946
Squad Leaders    948            947
Lieutenants       95             94
Captains          10              9
Generals           2              1

Dan, the 947 squad leaders could only support a total of 18940. Your 
numbers show them supporting six more than possible using the 
parameters. Also, with 9 Captains, you'd need at least two generals 
(commanding 5 and 4 respectively).

Matthew's results show that one of the squads will only have 5 soldiers, 
which is not enough to warrant a Squad Leader. However, I'm changing the 
parameters for matrix development with this: the lowest tier requirement 
is a "minimum." That is, a squad leader MUST have at least 20 soldiers, 
but CAN HAVE MORE than that if necessary. So, in Matthew's matrix, the 
six extra "soldiers" are actually each part of a group of 21 soldiers. 
This is a fine solution.

Once Dan has fixed his version, I'd like to examine each method to see 
how they differ, how they approach the problem, and then run tests to 
see which way is more efficient.

Thanks so much for your help with this!

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