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On the subject of "mathematical coincidence" and 35+ years of marriage:  WE bought a home that is located near the Miami AND Stillwater River junction.  Recently, there has been quite a bit of rain - and, we wondered if our "sump=pump" was going to work. So, after our nice lunch - I take a seat on the "head" - and, although _ I prefer to be modest - a long and loud fart rips out. My husband (then) hollers up to me - with glee: "Honey - the sump-pump's 'workin' - I just heard it!"  I hollered back: "Darling, that was NOT the sump-pump - that was just 'me' love talking... it's called a coincident point - in Mathematics.


           Generic "MetroGeL"  >  FDA Approved -  YES! It WORKS!    Did a girl solve the software "box-packing" problem?   YES! YES! And, that "girl" was me  ( circa 1987 ). NOTE: In 1987 (the) problem was Also called: "How many fat ladies will fit into one girdle?"  With the help of a USA Army veteran - I picked up the FORTRAN User's manual AND read (the)"bit-string manipulation" section many times.  TOP SECRET! The Battelle MREF (paid for with USA tax dollars) needed to perform the optimum number of experiments. So, Bill Roseburough hired Susan ... I also solved "buzz" - at the University of Wisconsin - Green Bay (UWGB).

  https://stackoverflow.com/questions/39875160/optimum-allotment-of-hotel-rooms-based-on-price  < " This is not a homework question. This is a problem we are facing while building an online product.   Wish if someone could tell me if this is a general algorithm problem. "Suppose I have a configuration of 4 rooms: ( 1st room- 2 people - 800 ## 2st room- 3 people- 1400 ## 3rd room- 2 people - 1000 ## 4th room- 2 people - 2000 [ Suppose i want to fit 4 people at minimum cost. Then ideally i should get 1st room + 3rd room]  I tried to solve it using price/person but that would fail since it would give an output of 1st room and 2nd room - Please tell the right algorithm to solve this problem. (See answer above)   ## algorithm optimization model minimization price ## -- asked Oct 5 '16 at 13:21 nandonachi -- Sounds like box packing, or knapsack problem. There's a million USD prize if you can do it in polynomial time. Real systems don't look for a perfect solution but apply heuristics to get a good enough solution. – Richard Oct 5 '16 at 13:23 ; 
          Some real systems actually use real optimization to get real optimal solutions. – Erwin Kalvelagen Oct 5 '16 at 14:23 ..."