5-dim rectangle. Limits are
                                                 [-22847  3832  2789            6071]
                                                 [------, ----, ----, -15227/7, ----]
from                                             [  80     39    34              21 ]

                                               [458273  511261  18361           602051]
                                               [------, ------, -----, 68192/7, ------]
to                                             [  80      39     34               21  ]




Exact volume  = (458273/80+22847/80)*(511261/39-3832/39)*(18361/34-2789/34)*(68192/7+15227/7)*(602051/21-6071/21) 
              =12120454598661612720
latte's volume=12120454598661612720
