***********        ********************    ***********   **************
*,,,,,,,,,***      *,,,,,,,,,,,,,,,,,,*    *,,,,,>,,,*   *,,,,,,,,,,,,*
*,,,,,,,,,*,*      *,,,,,,,,,,,,,,,,,,**** *,,,,,,,,,*   *,,,,,,,,,,,,*
*,,,,,,,,,*,***####*,,,,,,,,,,,,,,,,,,+,,***,,,,,,,,,*   *,,,,,,*,,,,,*
*,,,,,,,,,+,,,,....+,,,,,,,,,,,,,,,,,,**,,,+,,,,,,,,,*   *,,,><,*,,,,,*
*,,,,,,,,,*,***#..#*,,,,,,,,,,,,,,,,,,******,,,,,,,,,*   *,,,,,,*,,,,,*
*,,,,,,,,,*,*  #..#****+***+***,,,,,,,*    *,,,,,,,,,*   *,,,,,,*,,,,,*
********+**,**##..#*,,,,,,*,*******+***    *,,,,,,,,,*   *,,,,,,*,,,,,*
   *,,,,,,,,,,,...##,,,,,,*,*,,,,,,,*      *,,,,,,,,,*   ****+***,,,,,*
   *,***,****,*#...+,,,,,,+,,,*****,*      *,,,,**+******** *,* *,,,,,*
   *,***,*  *,*#>.#*,,,,,,*,***   *,*      **+***,,,,,,,,,* *,* *,,,,,*
   *,,,,,*  *,*#..#****+***,*     *,*       *,* *,,,,,,,,,***,* *,,,,,*
*****+***** *,*#..#   *,* *,*******,*********,***,,,,,,,,,+,,,* *,,,,,*
*,,,,,,,,,* *.##..#   *,* *,*,,,,,,,**,,,,,,*,,,+,,,,,,,,,*,,****,,,,,*
*,,,,,,,,,##*.##..#   *,***,*,*****+**,,,,,,*****,,,,,,,,,*,,,,,+,,,,,*
*,,,,,,,,,+.*.##..#####.,,,,,,*,,,,,,,,,,,,,*   *,,,,,,,,,*,*****,,,,<*
*,,,,,,,,,#.#.*#........,,,,,,+,≈≈≈,,,,,,,,,*   *,,,,,,,,,*,*   *,,,,,*
*,,,,,,,,,#...*#..######*****,*,≈*≈,,,,,,,,,*   *********+*,*   ****+**
*,,,,,,,,,#..###..# *********,*,≈≈≈,,,,,,,,,*   *,,,,,,,,,*,********,* 
****+*****#.......# *,,,,,,,,,*,,,,>,,,,,,,,*   *,,,,,,,,,+,,,,,,,,,,* 
*,,,,,,,,###'###..#**,,******,****+*****+****   *,,,,,,,,,*,,******,,* 
*,,,,,,,,#.....#.....,,,,,,,,,,,,,,*   *,*      *,,,,,,,,,*,,*    *,,* 
*,,,,,,,,#.....#..####,******+****,*  **,*      *,,,,,,,,,****    *,,* 
*,,,,,,,,#.....#..#***,***,,,,,***,****,,*      *,,,,,,,,,*       *,,* 
*,,,,,,,,+.....+...,,,,,**,,,,,+,,,,,,,,,*      *,,,,,,,,,*       *,,* 
*,,,,,,,,#.....#.###*,*,**,,,,,*,,,****,**      *,,,,,,,,,*       *,,* 
*,,,,,,,,#.....#.#  *,*,,+,,,,,*+******+*****   ***********       *,,* 
*,,,,,,,,#.....#,*  *,****,,,,,,,,,,,,,,,,,,*            **********,,* 
********+#.....#,****,****,,,,,,,,,,,,,,,,,,*            *,,,,,,,**,,* 
     *,,,#.....#,,,**,*,,+,,,,,,,,,,,,,,,,,,*            *,,,,,,,**,,* 
     *,**#.....+,,,**,<,**,,,,,,,,,,,,,,,,,,*            *,,,,,,,**,,* 
     *,,,+.....#**,,,,,,**,,,,,,,,,,,,,,,,,,*            *,,,,,,,+,,,* 
     ****#.....# ****,****,,,,,,,,,,**+********          *,,,,,,,**,,* 
         #.#####    *,**,******,,,,,+,,,,,,,,,*          *****+****,,* 
         #.#       **,,+,,,,,,*,,,,,*,*******,*           *,,,,*  *,,* 
         #.#       *,,**,,,,,,*,,,,,*,*     *,**          *,**,*  *,,* 
         #.#       *,***,,,,,,*,,,,,*,*     *,,*          *,**,****,,* 
         #.#       *,* *,,,,,,*,,,,,*,*     *,,*          *,**,,,,,,,* 
      ####.####    *,* *,,,,,,+,,,,,*,*******,,*          *,**,****,,* 
      #.......#    *,*******+**,,,,,+,,,,,,,,,,*          *,**,*  *,,* 
      #.......#*****,,,,,,,,,,+,,,,,*,********,*          *,**,*  *,,* 
      #.......+,,,,,,***,***,**,,,,,*,,,,*   *,************,**,*  *,,* 
      #<......#,,,,,,* *,,,,,**,,,,,****,*  **,**,,,,,,,,,*,**,*  *,,* 
      #.^.##+##+****+*****,****,,,,,****+****,,**,,,,,,,,,+,,,,*  *,,* 
   ***###+#,,,,,,*,,,,,,,*,******+***,,,,,,,*,,,+,,,,,,,,,*,****  *,,* 
   *,,,,*,*,,,,,,*,,,,,,,*,,,,,,,,***,,,,,,,+,,**,,,,,,,,,*,***   *,,* 
   *,**,*,*,,,,,,*,,,,,,,*,,,***,,,,+,,,,,,,*,***,,,,,,,,,+,,,*   *,,* 
   *,**,,,+,,,,,,+,,,,,,,**,,* *,****,,,,,,,*,* *,,,,,,,,,*,*,*   *,,* 
   *,**,***,,,,,,*,,,,,,,+,,,***+*****,,,,,,+,***,,,,,,,,,*,,,*****,,* 
   *,**,* ********,,,,,,,**,,**,,,,,,+,,,,,,*,,,+,,,,,,,,,**,,,,,,,,,* 
   *,**+****    *,,,,,,,,**,,,+,,,,,,*,,,,,,*****,,,,,,,,,**,******,,* 
   *,*,,,,,*    *,,,,,,,,***,**,,,,,,**+*****   *,,,,,,,,,**+******,,* 
   *,*,,,,,*    *,,,,,,,,* *,**,,,,,,**,*       *********+*,,,,,,**,,* 
   *,*,,,,,*    ********** *,**,,,,,,**,*               *,,,,,,,,**,,* 
   *,*,,,,********         *,**,,,,,,**,*               *,,,,,,,,**,,* 
   *,*,,,,*,,,,,,*         *,**,,,,,,**,**              *,,,,,,,,**,,* 
   *,*,,,,+,,,,,,*         *,,+,,,,,,**,,*              *,,,,,,,,**,,* 
   *,+,,,,*,,,,,,*         ****,,,,,,***,*              *,,,,,,,,+,,,* 
   ***,,,,*,,,,,,*            *,,,,,,+,,,*              *,,,,,,,,**,,* 
     *,,,,*,,,,,,*            *,,,,,,*****              *,,,,,,,,***** 
     *************            ********                  **********