********************                             
 ****************,,,**,,,**,,,**,,,* *************************** 
 *,,,,,,,,,,,,,,*,,,,,,,,,,,,,,,,,,***88*,,,,,8,,,,,8,,,,,,,,,8* 
 *,,,,,,,,,,,,,,*,,,,,,,,,,,,,,,,,,,,*,,*,,,,,,,,,,,,,,,,,,,,,,* 
 *,,,,,,,*,,,,,,**,,,,,,,,,,,,,,,,,*,*,,*,,,************++***,,* 
 *,,,,,,,*****,,*,,,,,,,,,,,,,,,,,,*,+,,*,,,************++***,,* 
 *,,,,,,,,,,,,,,**,,,,,,,,,,,,,,,,,*,*,,*,,,**,,*,*,,,*,,,,**,,* 
 *,,,,,,,,,,,,,,*,,,*,*,,...........,*,,*,,,**,,,,,,*,,,,,,++,,* 
 *,,,,,,,,,,,,,,*,,*****,..........*##,,*,*,***,*,,,*,,,,,,++,,* 
 *,,**,,,**+*****,,**  **..........,.#,,*,,,**,,,,,***,,,,,**,,* 
 *,,,*,,,*,,,,,,,,,,*  *,.........#..#,,*,*,***,,,,,*,,,,,***,,* 
 *,,,*,,,',,,,,,,,,**  **.........#..#,{*,{,**,,,*,,,,,*,,,**,,* 
 *,,,*,,,*,,,,,**,,*****,...........,*,{*{,,**,****,,,****,**,8* 
 *,,,*,,,*,,,,,**,,,*,*,,.........####,{*,{,**,,,*,,,,,*,,,**,,* 
 *,,,,,,,*,,,,,,,,,,,,,,.........zC..#,,*,*,***,,,,,*,,,,,***,,* 
 *,,,,,,,*,,**,,,,,,,,,,..........#..#,,*,,,**,,*,,***,,,,,**,,* 
**********,,**,,,,,,,,,,..........#..#,,*,*,***,,*,,*,,,*,***,,* 
*,,,*,*,,,,,,,,,,,,,,,,,.............#,,*{,,**,*,,,,*,,,,,,**,,* 
*,,,,,,,,,,,,,,,,,,*,,,*..........####,,*,,,**,,*,*,,,*,*,,**,8* 
**,,,,,,**,**,,,,,**'**##............#,,*,,,*****************,,* 
**,,,,,*******,,,,,+,,,#.........#)).#,,*,,,*****************,,* 
*,,,,,,,*   *,,,,,,*,,,#.........))..#,,*,,,,,,,,,,,,,,,,,,,,,,* 
*,,,,,,**   **,,,,,*,,,'.........#####,,*,,,,,,,*,*,,,*,*,,,,,,* 
**,,,,,,*****,,,,,****'##......).....#,,,,,,,,,,,,,,,,,,,,,,,,,* 
**,,,,,,,*,*,,,,,,,*,,,#........)#)..#,,8,********************** 
*,,,,,,,,,,,,,,,,,,,,,,..............#,,,,,,,,,,,,,{,,,,,,,,,,8* 
*,,,,,,,,,,,,,,,,,,,,,,..........#####,,,,{,,,,,,,,,,,,,,,,,,,8* 
**,,,,,,,,..........,,,....##.)################***************** 
**,,,,,,,...........,,,....##.....#..##...#...#,..,*,,,,*,,,,,*  
*,,,,,,,............*,*,.............##...#...#...,*,,,,*,***,***
*,,,,,,............*****............###...#)))#.##.#,**,,,,,,,,,*
*#######..........##   *#............##)#.#)#........,,,,,,,,,,,*
 #.....#...........#   #.............#.....)).........,,,,,,,,,,*
 #.....#.8........##   ##............#))...............,,,,,,,,**
 #.....#..8........#####.....##......)).................,,,,,,,**
 #.....#.....................##..........................,,,,,,,*
 #....)#####.88.....................##...................,,,,,,,*
###+#'##...'..............#*........##...................,,,,,,,*
#......'...#######........##.............................,,,,,,**
#......#...#.....#.8............................).......,,,,,,,**
#......##'##.....#..8..........#.#.......#...#.......#,*,,,,,,,,*
##.........#.....#............#####.....##+####..)..##***,,,,,,,*
##.........'.....######.......#   ##....,+...#).)..##   **,,,,,,*
#..........#.....#{,,,#.......#   #.....,#...#..).).#   *,,,,,,**
#........).###'###,,,,#.8.....#   ##....,#...+..)..##   **,,,,,**
#........).......+,,,,#..8....#####.....####)##.....###**,,,,,,,*
*#.......#.......#,,,{#........#.#.......#...#.........,,,,,,,,,*
##....)..#.......##+#*#####.............................,,*,*,,,*
#......#####........#....,#........................##..#*********
#........#..........#...,,#........................#*..#,,,,,,,* 
#.......###.........'...,,#.8...........)..............#,,,,,,,* 
##.......#..)..)....#,,,,,#.8.............#.#...##....,*,,,*,,,* 
*#......###.....))..#,,,,,#.............)#####..#*.....*,,,*,,,* 
#........#......#.).##+##*###...........##   #.........+,,,*,,,* 
#...#.#..#..#.#.#.......#{,,#.8..........#   #.....,..,*,,,*,,,* 
#..################.....+,,,#..8........##   *..###**+**,,,**,,* 
#...#.#.∩#..#.#.#.......#,,{#............##***,,*,,,,,,,,,,,,,,* 
#........#......#.......#*+*######........#,*,,,*,,,,,,,,,,,,,,* 
*#......###................*,,,,,#...........,,**,,,,,,,,,,,,,,* 
##.......#..)..............+,,,,,#............,,*,,*****,,,,,,,* 
#.......###................*,,,,,#............,**,,,,,,*,,,,,,,* 
#∩.......#.................+,,,,,#............,,*,,,,,,,,,,,,,,* 
#..........................*,,,,{#............,,*,,,,,,,,,,,,,,* 
##.∩.##.....##...##...##...******#..##..##..#*,,**************** 
 #################*####*##**     ####*###********