*******                     ##########                               
*,,,,,*  ******** ###########........#               ****############
*,,,,,*  *,,,,,,* #.........+........#               *,,,+.......'..#
*,,,,,*****,**+** ##.....##+#.......,*             ###*,,##..##'###.#
*****,,,,****,,,* ##.....#........#***           ###.##+###..##..##.#
    *,,,,*  *,,,* #......+...###'##              #....'......#......#
    *,,,,** *,,,**##'##'##...#....#              #....#......'...##.#
    **,,,,* *,,,*,*#<##.#....#...####   ###########.###.)##..##..##.#
     *,,,,* *,,,+.....+.'....#...##.##  #......#.##'####+##..###+##.#
******,,,,***,,,#+##+##+#....#...##..#  #......'..#......#.......##.#
*,,,,,,****,,**,,............#.......#  #......#..'......#...##'###'#
*,,,,,,*  *,,,+,,,...........'.......#  #......#..#......+...##..##.#
*,,,,,,*  **+**,,,.........(.###+##'#####}.....#.##+###..##.........#
*,,,,,,****,,,,*+*#...#+#...............|.#....#.#*,***+###+####..#.#
*,,,,,,,,,,,,,,+,,*#+##o+.................+....+..+,,,+,,#......#####
*,,,,,,,,,,,,,,#,,,..#.,#...............###....#####+##+##......#    
*,,,*+*,,,,**+*#.,*#.',,#.....#+##########......................#    
*,,,+,**+***,,##..##.#,,+.....+.'...o..{.'......................#    
*,,,*+**,,+,,,+.....o#,,#.....#o##'##+##'#......................###  
*,,,,,,*,,**,,##..##.#,,#..................####(##....##+##+####..#  
*,,,,,,*,,**,,*#,,*#.#*,+...............o.oo.((..+,,,.+.......'...#  
*,,,,,,+,,+,,,,,,,*#.##,#>oo...............#'###'#,,,,##+##<..#...#  
*,,,,,,**+###+##+###o.#,##'####'##'##+#...##.##,,,,,,,,,,,#..##..##  
*,,,,,,,,..........#..#..........+....+...'(o.#,,,,,,,,,,,########   
*,,,,,,,,,.........'..'..........#....#...#...'..oo.o.,,,,*          
*,,,,,,,,(.........#'##'##+#######.####...##..#......,,,,,***********
*,,,,****+##+##..o...........#####.##,.....#..#...#'#,,,,,,,,,*,,,,,*
*,,,,+,+,,+...'..............+.'....+,,....'..o,..',+,,,,,,,,,,,,,,,*
*,,,,*+***##.##>.............#.####+#,,,,,,#+##,..#**,,,,,,,**,,**,,*
*****,,,,**#+#.....#+##+#....#.##..,,,****,,,,,,,##*,,,***,,,**+**+**
    *,,,,+,,,+.....+,,,,+....'..+..,,,+,,+,,,,,,,+,+,,,+,+,,,+,,,,,,*
*****,,,,*,**#.....#,*###....####...,,****,,,,,,,*+*,,,*,*,,,**,**,,*
*,,,,,,,**,* ##....#,*#....####...#+#*******+**,,,,,,,,*+*,,,,*,**,,*
*,,,,,,,,*****#####+,,+....+,,+...+..+,+,,,,,,+,,,,,,,,+,+,,,,+,,+,,*
*,,,,,,,,*,*,,,,≈≈*##+#....####...#.#*,********,,,,,,,,***,,,,*,**,,*
***********,,,,,≈≈#...............#.##+######***,,,,*+**,,,*+**>**,,*
         *,,,,,,,,#...............+.........+,,+,,,,+,,+,,,+,,,,,,,,*
     *****,,,*≈,,,+...............#'###.##.#**,*,,,,*,**,,,****+**,,*
     *,,,*,,,,≈,,,+....#+#....#'#.....#'##.#**,**,,,*,****,,,,,,,****
     *,,,*,,,,,,,,*#...+,+....#.#.....'...<#,,,,*,,,*,,+,*,,,,,,,*   
     *,,,*,,,,,,≈≈*+..,*,#....+.+.....#....+,,,,+,,,+,,*,+,,,,,,,*   
******,,,*,,,,,,≈≈**,.,*+#....#.#.....####+#***+*,,,*,****,,,,,,,****
*,,,,,*+**************,,...#+##.###+#...,,,,*,,,*,,,*+******,,,,**,,*
*,,,,,+,,,+,,,,,,,,,,+,,,..+,,...,,,+....,,,+,,,+,,,+,,,+,,+,,,,+,,,*
*,,,,,**,**,,,,,,,**+*,,,,,*,*###***#...,,,,***+*,,,***,****,,,,**,,*
**+*****,*****,*,,*,,,,,*+**,******,..###+*,,,,,,,*****+**,,,,****,,*
 *,,*,,,,,*,,*>*,,,,,,,,+,,*,,,,+,+,..+,,,+,,,,,,,+,,+,,,+,,,,*,*,,,*
 *,,+,,,,,*,,***,,,,,,,,*,,+,,,**,*,..#**,*,,,,,,,**+***+*,,,,+,*,,,*
 *,,*,,,,,+,,* *,,,*+****,,*,,,**,*,,,,,*,*****,,,,,,,,,,,,,,,*,+,,,*
**+*****,**,** *,,,*,,,**,**,,,,+,+,,,,,+,,+,,*,,,,,,,,,,,,,,,*,*,,,*
*,,,,,**,**,** *,,,***+**,**,,,,*,*,,,,,*,,*,,+,,,,,,,,,,,,,,,*,*,,,*
*,,,,,,,,,,,,* *,,,,,,,,*,,,,,,**+*,,,,,*******,,,,,,,,***,,,,*,*,,,*
*,,,,,,,***,,* ****,,,,,*+**,,,*,,,,**********,,,***,,,* ******,*,,,*
********,,,***    *,,,,,,,,*****,,,,* *,,,,,,*,,,* *,,,*     *,,*,,,*
       *,,,*      *,,,,,,,,*   *,,,,* *,,,,,,+,,,* *,,,*     *,,*,,,*
       *,,,*      *,,,,,,,,*   *,,,,* ********,,,* *,,,*     ********
       *****      **********   ******        ***** *****