Welcome!  

     _,gggggg,_      ,ggg,         ,gg ,ggg,        gg   
   ,d8P""d8P"Y8b,   dP""Y8a       ,8P dP""Y8b       88   
  ,d8'   Y8   "8b,dPYb, `88       d8' Yb, `88       88   
  d8'    `Ybaaad88P' `"  88       88   `"  88       88   
  8P       `""""Y8       88       88       88aaaaaaa88   
  8b            d8       I8       8I       88"""""""88   
  Y8,          ,8P       `8,     ,8'       88       88   
  `Y8,        ,8P'        Y8,   ,8P        88       88   
   `Y8b,,__,,d8P'          Yb,_,dP         88       Y8,  
     `"Y8888P"'             "Y8P"          88       `Y8  
  
  Upper Constraints