This is loosely taken from a puzzle I solved on a game I used to play a while ago (can't find the actual puzzle), bonus points if you guess what game.
A Roman Senator wishes to have the 'perfect army ratio'.
The perfect ratio includes a Equites Caesaris as a leader. For every Equites Caesaris there are 5 Equites Imperatoris. Every Equites Imperatoris is in charge of 25 Equites Legati, which are in charge of 14 Imperians each. For every Imperian there are 300 Praetorians beneath them and every Praetorian has 25 Legionnaires beneath them.
How many men does the Senator need to recruit to have 5 Equites Caesaris in his army?
Simply solve for a super awsome prize of 0.001 SBD (It's a small prize but mainly just for fun.)
First 3 fastest correct answers get the reward and a bonus reward for guessing the game, otherwise the closest answers gets it.
I will say the answer after 3 correct answers or 7days.
So the units in this are in charge of other units. In a simple example if 5 sergeants are in charge of 5 privates each thats 5+(5x5)=(5x6)=25 units in total. As one sergeants and 5 privates equal 6 troops thats 5 lot's of 6.
So for the above: 5 + (5x5) + (5x5x25) + (5x5x25x14) +(5x5x25x14x300) + (5x5x25x14x300x25)
So thats 5ECs then 25EIs then 625 EL's, 8750 Imps, 2625000 Praetorians and 65625000 Legionnaires.
So in total 68,259,405 men in total. So both answers counted the Legionnaires and saw you had to add the other troops as well but only added a few. It was a puzzle for a reason though. Sending the SBD now.
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This post has received a 1.25 % upvote from @drotto thanks to: @pandasquad.
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65625005 men?
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At first I though it was 13,125,000 men, but after thinking about it, I realized that's how many men each Equites Caesaris would have. The actual answer is 65,625,000 men.
(or it might be 65,625,995, it depends if you count the five ECs)
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