##################***********************************###########
#...?..$$.........,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..........#
#.....e§§.........,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,.........)#
#....§.###########********,,,,,,,,,,****###################.)..#
#................,,,,,,,,,,,,,,,,,,,,,,,......§§§§§............#
#.....e..........,,,,,,,,,,,,,,,,,*,,,,,......$§D§§.........#..#
#................,,,,,***,,,,,,,,,*,,,**###Q.#####§.#####...#..#
#..#.............,*+++* *,,,,*,,,,*,,,*,,,#.,*,,,*..#.∩.#...#..#
#..#..........#+++*,,,***,,,,*,,,,*,,,*,,,*,,*,,,#..#...#...#..#
#..#.....$....#,,,*,∩,**,,,,,*,,,,*,,,**+**,,**'##..##'##...#..#
*,,#...eC.....#,∩,*,,,**,,,,,*,,,,*,,,,,,,,,,,,....(.ceDD...#..#
*,,#....OOO.###,,,******,,,,,*,,,,*,,,,,,,,,,,,C......C((...#..#
*,,#........#***********,,,,,*,,,,*,,,**+**,,**'##..##$##...#..#
*,,#........#*,,,,**,,,,,,,,,*,,,,*,,,*,,,*,,*,,,#..#...#...#..#
*,,#......⌠.#*,∩⌠,**,⌠,,,,,,,*,,,,*,,,*,,,*,,*,,,#.,#.∩.#...#..#
*,,#........#*,,,,**,,,,,,,,,*,,,,*,,,*,,,*,,*,,,#,,#...#...#..#
*,,#....#####*+++***,,,,,,,,,*,,,,*,,,**+**,,**+**,,##'##D..#..#
*,,#....******,,,***,,,,,,,,,*,,,,*,,,,,,,,,,,,,,,,,,...D...#..#
*,,*,,,,**,,,*,∩,*,,,,,,,,,,,*,,,,*,,,,,,,,,,,,,,,,,,..,....#..#
*,,*,,,,**,,,*,,,*,,,,,,,,,,,*,,,,*,,,**+**,,**+**,,**+*#...#..#
*,,*,,,***,,,*+++*,,,,,,,,,,,*,,,,*,,,*,,,*,,*,,,*,,*,,,#...#..#
*,,*,,,* *+++*,,,,,,,,,,,,...#....#...#,,,*,,*,∩,*,,*,,,*,,,#..#
*,,,,,,***,,,,,,,,,,,,,,..........#...#****,,*****,,*****,,,#..#
*,,,,,,,,,,,,$,,,,,,,,,,.C........#....,,,,,,,,,,,,,,,,,,,,,#..#
*,,,,,,,,,,,,,,,,,,,,,,,.C.p..........,,,,,,,,,,,,,,,,,,,,,,...#
*,,,,,,*****************##.C........#####******************,,,,*
*,,,,,,,,,,,,,,,,,,,,,,,.....D...........,,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,,,,,,,,....*pce<(.......,,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,,,,,,,,......D.e<[......,,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,,,,,,,,.....(C<<........,,,,,,,,,,,,,,,,,,,,,,*
*,,,,*******************####..p..u..#####*###########******,,,,*
*,,,,,**   *****,,,,,***#.............#***#.........#*****,,,,,*
*,,*,,,*****,,,,,,,,,,,,.....#...(#......###(......##*..,,,,*,,*
*,,**,,......,,,,,,,,,,,.....#....##..##..###.....###..**,,**,,*
*,,***,......,,,,,,,,,,,....*#....##.##*#.# ##...## #.#***,**,,*
*,,* **.....p,,,,,,,,,,,...,*#....##.#*##.## ##.## ##.##**.**,,*
*,,* *#......,,,,,,,,,,,...,*#....#*..##...####)####...##..**,,*
*,$*##.......*******,,,,,,,,**,,,,###.......##...##.......###,,*
*,,*#.......#********,,,,,,,**,,,,#.##*#...............#*##.#,,*
*,,*#....C.#**$,,,$***,,,,,,,*,,,,#..####.....###.....####..#,,*
*,,##......#*,,$$$,,**,,,,,,,*,,,,#...###....#####....###...#,,*
*,,#.......#*,,$∩$,,**,,,,,,,*,,,,#...)'.....'..##.....)....#,,*
*,,#.......#*,,$$$,,**,,,,,,**,,,,#...###....#####....###...#,,*
*,,#.......##*$,,,$***,,,,,,**,,,,#..####)....###.....####..#,,*
*,,##.......#**,,,***,,,,,,,*#....#.####...............####.#..#
*,,*#........***,***,,,,,,,**#....###...§.§.##...##.......###..#
*,,*#........,,,,,,,,,,,,,** #....*#..##§§§####'####...##..#*..#
*,,*#........,,,,,,,,,,,,,** #....*#.####§## ##.## ##.##*#.#*..#
*,,*#........,,,,,,,,,,,,,,**#....*#.####§# ##...## #.####.#*..#
*,,*.........,,,,,,,,$,,,,,,*#....##..##§§###.....###..##..##..#
*,,*.(.......,,,,,,,,*****,..#...C#....§§###.......###......#..#
*,,.....####.,,,,*****   **.......C..######.........######.....#
*,,..####******************#........#######################....#
*,...,,,,,,,,,,,,,,,,,,,,,,...............................=....#
*,,,,,,,,,,,,,,,,,,,,,,,,,,....................................#
***************************#####################################