Fort Fearless - Math and Logic Puzzle for Escape Rooms

An extremely clever puzzle that at first glance might not seem to fit in an Escape Room. Once you start to understand it a little more; however, you will see it has a lot of Escape Room potential. For each solution there is a unique combination of numbers which occupy the corner positions. These numbers can then be used for a code or to help solve another part of your Escape Room. The Fable:  In the old west,  the 78 soldiers manning the parapets at Ft. Fearless were surrounded by 119 Indians.  Their only hope was in making the Indians think there were more soldiers in the fort.  Major Burns reasoned the Indians might count the men in corner parapets twice as they could be seen from two adjacent sides. He arranged the men so there were 22 men visible from each side; thus seemingly 88 men. Not enough... he repositioned them such that 23 were visible on each side… still not enough… Before long he found he could position his men such that from 22 to 30 were visible on each side.  When he