***********        ***********            ****************
      *******,,,,,,,,,**********,,,,,,,,,**************,,,,,,,,,,,,,,*
      *,,,,,*,,,,,,,,,*,,,,,,,,*,,,,,,,,,*,,,,*,,,,,,,*,,,,,,,,,,,,,,*
      *,,,,,*,,,,,,,,,*,,,,,,,,*,,,,,,,,,*,,,,+,,,,,,,*,,,,,,,,,,,,,,*
      *,,,,,*,,,,,,,,,*,,,,,,,,*,,,,,,,,,+,,,,*,,,,,,,*,,,,,,,,,,,,,,*
      *,,,,,*,,,,,,,,,*,,,,,,,,*,,,,,,,,,*,,,,*,,,,,,,*,,,,,,,,,,,,,,*
      *,,,,,*,,,,,,,,,*,,,,,,,,*,,,,,,,,,*,,,,*,,,,,,,*,,,,,,,,,,,,,,*
      *,,,,,*,,,,,,,,,+,,,,,,,,*,,,,,,,,,*,,,,*,,,,,,,*,,,,,,,,,,,,,,*
      *,,,***,,,,,,,,,*,,,,,,,,*,,,,,,,,,*,,,,*,,,,,,,*,,,,,,,,,,,,,,*
     **,,,*,,,,,,******,,,***+**,,,,,,,,,*,****,,******,,,,,,,,,,,,,,*
     *,,,,*,,,,,,*,,,**,,,**,,,,,,,**+*********,,*,,,,,********,,,,,,*
     *,,,,*,,...,*,,,,,,,,,*,,,,,,,*,,,,,,,,*,,,,*,,,,,*      *,,,,,,*
     *,,,,*,,...,*,,,,,,,,,*,,,,,,,*,,,,,,,,*,,,,*,,,,,*      *,,,,,,*
     *,,,,*,....,*,,,,,,,,,+,,,,,,,*,,,,,,,,*,,,,*,,,,,*      *,,,,,,*
     *,,,,*.....,*,,,*******,,,,,,,*,,,,,,,#######.....#      *,,,,,,*
     ####+#.....,*****,,,,,,,,,,,,,*,,,,,,,#...........#      *,,,,,,*
     #..<.......,*   *,,,,,,,,,,,,,*,,,,,,,#...........###### *,,,,,,*
     #..........,*   *,,,,,,***+****,,,,,,,#................# ********
     #..........,*   *,,,,,,*,,,,,,,,,,,,,,#................#         
     #..........,*   *,,,,,,*,,,,,,,,,,,,,,#................#         
     #..........,*   *,,,,,,*,,,,,,,,,,,,,,+................#         
     #..........,*****,,,,,,*,,,****,**,,,##................#         
     #####.....#**,,,*,,,,,**,,,****,**,,,#.....###+#########         
         *.....#,,,,,+,,,,,*,,,,,*,,,,,,,,#.>...#,,,,,*               
         *.....#,,,,,#.....#.....#..,,,,,,#.....#,,,,,*               
         *..S..#,,,,,#.....#.....#..,,,,,,+.....+,,,,,*               
         *,,,,,*,,,,,#....,.........,,,,,,#.....#,,,,,*               
**********,,,,,*######...####.####.########.....###************       
*,,,,,,,,,*+****#....!...##.....##..................,,,,,,**,,******* 
*,,,,,,,,,*,,,,,#........#.......#...................,,,,,*,,,*,,,,,* 
*,,,,,,,,,*,,,,,#........#.......#...........).......,,,,,*,,,*,,,,,* 
*,,,,,,,,,*,,,,,#............_.............>.........,,,,,*,,,*,,,,,* 
*,,,,,,,,,*,,,,,#..?.....#.......#...................,,,,,*,,,*,,,,,* 
*,,,,,,,,,******#........#.......#...................,,,,,*,,,*,,,,,* 
******<,,,,,,,,,.........##.....##.########.........,,,,,,*,,,+,,,,,* 
     *,,,,,,,,,,>........####.####..,,,,,,#......$.,,,,,,,*+**********
     *,,,,,,,,,,.......'.ppK........,,,,,,*.......,,,,,,,,,,,,,,,,,,,*
     *,,,,,,,,,,.......#.pZ#.....#...,,,,,+......,,*******,,,,,,,,,,,*
******,,,,,,,,,,....p..#+###.....###+**,,,*,,..?,,,*,,,,,*,,,,,,,,,,,*
*,,,,,,,,,,,,,,*######.,,,,.........,,*,,,*,,,,,,,,+,,,,,*,,,,,,,,,,,*
*,,,,,,,,,,,,,,*     #.,,,,..!......,,*,,,*,,,,,,,,*,,,,,*,,,,,,,,,,,*
*,,,,,,,,,,,,,,*     #.,,,..........,,+,,,*,,,,,,,,*,,,,,*,,,,,,,,,,,*
*,,,,,,,,,,,,,,*     *,,,,..........,,*,,,*,,,,,,,,*,,,,,*,,,,,,,,,,,*
*,,,,,8*,***8,,*     *,,,...$.......,,*,,,*,,,,,,,,*,,,,,*,,,,,,,,,,,*
*,,,,,,**,,**,,*     *,,,,,,,,,,,,,,,,***+*,,,,,,,,*,,,,,******,,,,,,*
******,,,,,,*,**     ***,,,,,,*+***,,,,,,,,,,,,,,,,*,,,,,*,,,,**+*****
     **∩,,,,,,*        *,,,,,,*,,,*,,,,,,,,******+**,,,,,*,,,,,,,,,,* 
     *,,,,,,***        *,,,,,,*,,,*,,,,,,,,*,,<,,,,,,,,,,+,,,,,,,,,,* 
     ***,,,***         *,,,,,,*,,,*,,,,,,,,*,,,,,,*********,,,**,,,,* 
     * **,** *         *,,,,,,*,,,*,,,,,,,,+,,,,,,*,,,,,,,*,,,**,,,,* 
     *********         *,,,,,,*,,,*,,,,,,,,*,,,,,,*,,,,,,,+,,,**,,,,* 
                       *,,,,,,*,,,*,,,,,,,,*,,,,,,*,,,,,,,*,,,***+*** 
                       *,,,,,,+,,,*,,,,,,,,*,,,,,,*,,,,,,,*,,,,,,,,,* 
                       *,,,,,,*****,,,,,,,,*,,,,,,*,,,,,,,******,,,,* 
                       *,,,,,,,,,,,,********,,,,,,********,,,,,*,,,,* 
                       *,,,,,,,,,,,,*     *,,,,,,,,*     *,,,,,*,,,,* 
                       *,,,,,,,,,,,,*     *,,,,,,,,*     *,,,,,*,,,,* 
                       *,,,,,,,,,,,,*     *,,,,,,,,*     *,,,,,+,,,,* 
                       *,,,,,,,,,,,,*     **********     *,,,,,****** 
                       **************                    *******