*                          * *  *                            
                          *                   *,,                               
                         ,                    *, ,,*                            
                  ,  *  , *                   * ,  *                            
                ,                            **,  *                             
                                                , *                             
                *  ,               * **  * * #....                              
                  ,,            ** *  , ,,.......##                             
                   ,    *    * *      ,, .........####                          
             * ,       ,*      , ,   , ,.............###                        
               , * *      *       ,  ,,................##                       
                         *, ,  , , ,  ,...........#.....###                     
               *        ,  ,, ,, ,,   ,.............#.....##                    
                       ,, ,,, , ,,, * ****#...........#....#                    
                            , ,,          *#...........#....                    
          ,             ,   ,,*            #..###..)....## , #*              ***
          ,        *       ,***     ########.)# ###......##, }##           * *  
        *            ,   ,,,       *#.........### ##......## ..##         ** , *
                    ,,, ,  ,,,****,...........(.######.....##...#       *,  ,,  
                        *  *,,* ,,  ####.#####....#####.....#...##   # ,,,,,,,,*
                   ,    *  ** ,, ****  # ** *###....####.....#...####.. ,,, ,   
                * ,   ,    *   * *     , , , * ###...###.....##...#.....,,,,,,  
       ,        *     *       *   , ,.,    ,     ##...###.....#..........,, * * 
       ,            ,        *** ,  ...,,  ,  , * ##...###..))#......... * *    
                 ,   *       **,  ,.....,   ,      ##...##....(......# *        
    **,          ,, *       * ,  {{.....#*   , , .####..###...(.....##          
    *  ,         ,  *      **, , , ....3.### ,.....###......).()#...#           
    * ,*      *,             , , ,....⌠.{{)##.......###.......).##..##          
                , ,        * ,  ,    ,,,{#{1##......###...##..))##...#          
     ,       ** ,,         ,, ,, #########)$(#.......###..##....##...#          
      , ** **  ,  ,      **,,{ ,##[.:)|?##)[.#.......###...#.....#...#          
 ,, ,,,,, ,,,,,, ,       * ,,, ##:.|)##'###(}#........##....#....##..#          
*,,   , ,  ,  ,,,, , ,,* *  {  #./..##)..[##.#...2....###).##....##..#          
  ,       ,,,   ,    ,  **, ∆  #+####(..[.}#.#?⌠3.e.1.###(.##....##..#          
    *,,*   ** , ,,* ** ,,, ,,, , {* #/).(.['}#....x14.##(..##....##..##         
    *,,*         ,*    *     ,  ,, ∆+.....)###...#....((....#....##...#         
     , *        ,,            ,  ,*∆#.=.[.{####'##..).##....#....*#...#         
             *  , **     *   ,   , {##.))?##.[).##...)###...#     #...#         
    #..#     *,,  ,*     *  ,,,, ,*∆∆###'##?"..##.....# #..#.....##..##         
    #...       ,,,,*      *     {, ∆∆∆*#===|.)##.....## #..#....# #..#          
    *...      * ,,,*       ,  ,    ∆∆, ########......# *#..#....# #..#          
     #..           **       ,, , ,  ∆∆ , ,,,, ......##  ...# .  *##..#          
     #..##    *,, , *      *,,,,,,,**∆   ⌠,, ,,.....#* ,....  , *#...#          
     #...#    *   , **     *  ,, {,,     , ,,  , ..##* ,..#.  ,* #)..#          
     #<..##    * ,,,,*         ,,,,,    ,, , ,   , * **.......  ##..##          
     *#.<.#     * ...##   **    ,,,{,, ,,   ,,,,∆      ,......###...#           
      #...#     *.....##  #. ***    ,,, , ,, ,       *,,  ......#...#           
      ##..##    *#.....# #...  **    ,,,, ,, , *     ,,,,,........(##           
       #...##    #.....##...#*     *,,,     **       ,,*, ..........###         
       ##...#     #........#*      ** *,**       *  ,, ,,, .###.......###       
        #...##     #.......#          *, *       * ,,, ,     ##)........###     
        ##..(##### *#......###         ,*  *  ** ,, ,,   ,*  #...#........###   
         ##...##.####.)......#          , ,***  ,       ,*  ##.).###........### 
          #...###)##().........        **,,   ,,, ,   , ** ##...## ##.........##
          ##...#)##....#......,  ,  ***   , , ,   ,    *  ##...##   ###........#
           ##...##(...###..... ,  ,,,   ,,....   ,  ,, * ##.)..#      ##.......#
            ##.)......#  ##...,,, ,  , ........  ,,,* * ##....##       ###.....#
             ##).....##   **#, ,,,,,, ,....... , ,  *  ##....##          ##....#
             ##)....##      **  ∆,,,  ,.......  **   ###....##            ###..#
            ##.......###      *** *,,   .....#* *   ##.)...##               ####
           ##..........###         * ** *#...#    ###....###                    
          ##......##.....###        ###  #...## ###.....##                      
         ##......####......####    ##.#  #....###.....###                       
        ##......##  ###.......######.######..........##                         
       ##......##     ###..........)###...........####                          
      ##......##        ####.......))...........###                             
     ##.......#            #####...............##                               
    ##.......##                ############....#                                
    #.......##                            #....#                                
    #########                             ######