****************************************#######################*****
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,................#..#.#.#.*,,*
*,,,,,,>,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,#........>........#.#...#,*,*
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,................##.#.#.#,*,,*
*,,,***+************,,,,,,,****,,*,****+####.#..#######..#.#...#,,,*
*,,,*,,,,,,,,,,,,,,,,*****,,,,,,,,,*,,,.,.(#....+....e.##e#.#.#,*,,*
*,,,*,,,,,,,,,,,,,,,**   *,,,,,,,***,*...*.###..#......#.).#.#.#.,,*
*,,,*,,*****,,*+*,,** ****,*****,*,,,,e..e,..#..#..e...#..#...#.#,,*
*,,,*,,+,,,*,,*,,,*****,,,,,,,,,,*,*,,*+#..#.#.e#e.e...#.#.#.....*,*
*,,,*,,*,,,*,,*,,,***,,,,*,,,,,,,*,,,**,*#...#.e.##+####..#.#.#..,,*
*,,,*,,*,,,*,,*,,***,,,*,,,,,,,*,+,,,+,,,+...'.#.......#∩..#...#.*,*
*,,,*,,*,,,,,,,,,**,,*,,,,,,,,,,,*,,,**,*#..e#.........#######.#.*,*
*,,,*,,*,,*********,,,,,,*,,,,,,,*,*,,*+#..#.#..#####+##,,,,,,,,,,,*
*,,,*,,*,,**,,,,**,,,,,*,,,,,,,,,*,,,,....,..#..#,,...,*,,,,,,,,,,**
*,,,*,,**,*,,,,,,*,,,*,,,,,****,,***,*...*.###..#,,,...*,,,,,,,,,** 
*,,,*,,,,,*,,,,,,+,,,,,,,,,,,,,,,,,*,,,.,..#....#,,,...#,,,,,,,,,*  
*,,,+,,,,,*,,,,,,+,,,,,,,,.,,,,,,*.####+####.#..#,,,,..+,,,,,,,,,*  
*,,,*****,*,,,,,,*,,,*,....#*+**,...)...........####+#**,,,,,,,,,*  
*,,,,,,,,,**,,,,**,,,,.#....,,,,,......#..............,,,,,,,,,,,*  
*,,,,,,,,,*********,,....#..,,,,,..........).........,,,,,,,,,,,,*  
*,,,,,,,,,,,,,,,,**,.#......,,,,......................,,,,,,,,,,,*  
*,,,*****,,****,,***...#...############..#########..#***,,,,,,,,,*  
*,,,*,,,*,,*,,,,,,**#....#............#..#.......*..*,,*,,,,*,*,,*  
*,,,*,,,+,>*,,,,,,****#..........[....'..#......,*,,+,,*,,,,,∩,,,*  
*,,,*,,,*,,*,,,,,,,** ####.)..........#..+.>....,*,.*,,*,,,,*,*,,*  
*,,,*,,,*,,*,,,,,..,**   #............#..#,.....,#..#,,*,,,,,,,,,*  
*,,,*,,,*,,*,,,,,....#####............#..#.....,,#..#,,+,.,,,,,,,*  
*,,,*,,,*,,*,,,,,,,#.....).../........#..#....,,,#..#,,*...,,,,,,*  
*,,,***+*,,****+*###..##'##############..#########..####....,,,,,*  
*,,,,,,,,,,,,,,,..........^...............,,........$.......,,,,,*  
*,,,,,,,,,,,,,,,,.........................,,......re........,,,,,*  
*,,,,,,,,,,,,,,,,.......................,,,,...e.rrsre.......,,,,*  
*,,,*****,,*+****####...#+############**+*,,,,,#.ress#,,,,,,,,,,,*  
*,,,*,,,*,,*,,,,,,,,#...*,,,,,,,,,,,,,,,,*,,,,,#.es.e#,,,,..,,,,,*  
*,,,*,,,*,,+,,,,,,,,#..?*,,,,,,,,,,,,,,,,*,,.###.rrrr###e....,,,,*  
*,,,*,,,*,,*,,,,,,,,#...*,,,,,,,,,,,,,,,,*,,.'s#...s.#.e.....,,,,*  
*,,,+,,,*,,*,,,,,,,,*...*,,,*******+**,,,*,,.###.....###e....,,,,*  
*,,,*,,,+,,**********,,,*,,,+,,,,,,,,*,,,*,,.'.#.....#.'.....,,,,*  
*,,,*,,,*,,,,,,,,,,,,,,,*,,,*,,,,,,,,*,,,+,..###.....###.....,,,,*  
*,,,*,,,*,,,,,,,,,,,,,,,*,,,*+********,,,*...'.#.....#.'.....,,,,*  
*,,,*,,,*,,********+*,,,*,,,,,,,,,,,,,,,,*,..###.....###.$..,,,,,*  
*,,,*,,,*,,+,,,,,,,,*,,,*,,,,,,,,,,,,,,,,*,,,,,#.<...#,,,,..,,,,,*  
*,,,*,,,*,,*,,,,,,,,*,,,+,,,,,,,,,,,,,,,,*,,,,,#.....#,,,,,,,,,,,*  
*,,,*****,,***+******,,,******************,,,,,#######,,,,,,,,,,,*  
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*  
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*  
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*  
*,,,*******+**,,,**+**,,**+******,,*******+**,,,,,,,,,,,,,,,,,,,,*  
*,,,*,,,,,,,,*,,,*,,,*,,*,,,,,,,*,,*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*  
*,,,*,,,,,,*,*,,,+,,,*,,*,,,,,,,+,,*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*  
*,,,*,,,,*,∩,*,,,*,,,*,,+,,,,,,,*,,*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*  
*,,,******+***,,,**+**,,*******+*,,****+******,,,,,,,,,,,,,,,,,,,*  
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*  
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*  
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*  
**********************************************,,,,,,,,,,,,********  
                                             *,,,,,,,,,,,**         
                                             *************