*************************************######***************************
*,,,,,,,,,,,,,,,,,,,,,,,*,,,,,*,,,,**.....,,,,,,,,,,,**,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,,,,,,,,*,,,,,*,,,***#....,,,,,,,,,,****,,,,,,,,,,,,**
*,,,,,,,,,,,,,,,,,,,,,,,*,,,,,*,,,**##...,,,....,,,,****,,********,,**
*,,,,,,,,,,,,,,,,,,,,,,,*,,,,,*,,,,*#...#####..,,,,..**,,,*,,,,,,*,,,*
*,,,**************,,,,,,*,,,,,*,,,,**...#...#..,,,,..**,,,*,,,,,,*,,,*
*,,,*,,,,,,,,,,,,*,,,,,,****+**,,,***#).#...#.#####.#***,,*,,,,,,*,,**
*,,,*,,,,,,,,,,,,*,,,,,,*,,,,,,,,,**##..#...#.#...#.##**,,*,,,,,,*,,**
*,***+*********,,*****,,*****,,,,,,*#...##'##.#...#..#*,,,***,,***,,,*
*,*,,,,,,,,,,,*,,,,*,+,,*,,,*,,,,,,*#.........#...#..#*,,,*,,,,,,*,,,*
*,*,,,,,,,,,,,*,,,,*,+,,*,,,*,,,,,**##........##'##.#***,,*,,,,,,*,,**
*,*,,*******,,***,,,,*,,*,,,+,,,,,**##.######.......##**,,*,,,,,,*,,**
*,*,,*,,,,,*,,,,*,,,,*,,*,,,*,,,,,,*#..#,...#........#*,,,*,,,,,,*,,,*
*,*,,*,,,,,*,,,,*,,,,*,,*****,,,,,,*#..#,...'........#*,,,***++***,,,*
*,*,,*,,,,,+,,,,*,,,,*,,*,,,,,,,,,**##.#....#...†...##**,,,,,,,,,,,,**
*,*,,*,,,,,*,,,,*,,,,*,,*,,,,,,,,,**##.#########....#***,,,,*,,*,,,,* 
*,*,,*,,,,,*,,,,*,,,,*,,******,,,,,*#....#.....#.....#*,,,,,,,,,,*****
*,*,,*******,,***,,,,*,,*,,,,*,,,,,*#....#..∩..#.....#*,,,,,,,,,,*,,,*
*,*,,,,,,,,,,,*,,,,*,'..*,,,,*,,,,**##...†.....#....##*****,,,,,,*,,,*
*,*,,,,,,,,,,,*,,,,*,'..*,,,,*,,,,**##...#.....#....#**,,,*,,,,,,+,,,*
*,***+*********,,#####..*,,,,+.....##....#######.....**,,,+,,,********
*,,,*,,,,,,,,,,,,#......*,,,,*.....##.........,,,,,,,**,,,*,,,*,,,,,,*
*,,,*,,,,,,,,,,,,#......*,,,,*....#*##.......#+****,*******,,,+,,,,,,*
*,,,*************#......######....####.......#,,,,*,****,,,,,,*,,,,,,*
*,,,,,,,,,,,,,,,,.......#..#.......##..#####.#,,∩,*,,**,,,,,,,*,,,,,,*
*,,,,,,,,,,,,,,,,......)†h2#.......##..#,,,*.#*****,,**,,,,,,,*,,,,,,*
*,,,,,,,,,,,,,,,,.......##2#......#*##.#,,,+,,*,,*,,****,,,,,,********
*,,,,,,,,,,,,,,,,.......#...1.....####.#,,,*,,+,,*,,****,,,,,,,,,*,,,*
*******########**############1.....##..#,,,*,,#,,*,,,**,,,,,,,,,,+,,,*
*,,,,#.#....#.#,,,*#...#,,,,#......##..#####..#,,*,,,**,,,,,,,,,,*,,,*
*,,,,#.#....#.+,,,*#...#,,,,#.....####........#***,,*********,,,,*****
*,,,,#.#....#.#,,,*#...#,,,,#.....####.)#####....,,,***,,,,,*,,,,,,,,*
*,,,,#.#....#.#,,,*#...#,,,,#......##...#,,,*,,,.,,,,**,,,,,*,,,≈≈≈,,*
*,,,,#.###'##.######...###+##......##...#,,,*,,,,,,,,**,,,,,+,,≈≈≈≈≈,*
###+##.............#...#..........####..#,,,*****,,,***,,,,,*,,≈≈≈≈≈,*
#..................##'##..........#*##..#,,,*,,,*,,,***,,,,,*,,≈≈≈≈≈,*
#..................................##...#,,,*,,,*,,,,**,,,,,*,,,≈≈≈,,*
#..........###'###.......####+##...##...##+##,,,*,,,,********,,,,,,,,*
#.##'##....#.....#.......#,,,,,*..####......+,,,*,,,***,,*,,,,,,******
*,#...####.#.....#.#######,,,,,*#+#*##.####.#****,,,***,,+,,,,,,+,,,,*
*,#...#,,'.#.....#.#,,,,**,,,,,*,,,*#..#,,*,,,,,,,,,,**,,*,,,,,,*,,,,*
*,#...#,,#.#.....#.+,,,,**,,,,,*,,,*#..#,,+,,,,,,,,,,**,,*,,,*********
*,#...#,,#.#.....#.#,,,,**,,,,,*,,,*##.#,,*,,#****,,,******,,*,,,,,,,*
####+##**###########****************##.####..#,,,*,,***,,,*,,*,,,,,,,*
#....#,,,#..#,,*,,,,,,*,*,,,,,*,,,,*#........#,,,*,,,**,,,+,,*,,,,,,,*
#....#,,,+..#,,*,,,,,,#.#,,,,,*,,,,*#...####.#,,,*,,,**,,,*,,*,,,,,,,*
#....#,,,#..+,,*,,,,,,#.+,,,,,*#+##*##..#,,*,**+**,,*******,,**+******
#....#,,,#..####,,,,,,+.#,,,,,*...####..#,,*,,,,,,,,***,,,,,,,,,,*,,,*
#....#####.....#,,,,,,#.#######....##...#,,*,,,,,,,,,*******,,,,,+,,,*
####+#.........########............##†.†#,,+,******,,**,,,,*,,,,,*,,,*
#.................................#*##††#,,*,*,,,,*,***,,,,*,,,,,*,,,*
#.................................####..#,,*,#,,,,*,***,,,,+,,,*******
#..................................##...####.#,,,,*,,**,,,,*,,,*,,,,,*
#..................................##........#,,,,*,,**,,,,*,,,*,,,,,*
#.88..88..88..88..88..88..88..88..####.......#**+**,********,,,*,,,,,*
#...........................)).....##.........,,,,,,,**,,,,,,,,+,,,,,*
#..................................++....≈≈≈≈≈≈≈≈,,,,++,,,,,,,,*,,,,,*
#..................................++....≈≈≈≈≈≈≈≈,,,,++,,,,,,,,*******
*,,,,..............................##.........,,,,,,,**,,,,,,,,,,,,,,*
*,88,,88..88..88..88..88..88..88..####.......#*+***,****,,,,,,,,,*+***
*,,,,,,,,,,,,,,,,,,,...............#*...##+###,,,,*,,**,,,,,,,,,,*,,,*
*,,,,,,,,,,,,,,,,,,,,,.............#*...#,,,,*,,,,*,,**,,,,,,,,,,*,,,*
*,,,,,,,******,,,,,,**#+##........##*#..#,,,,*,,,,*,****,,,,,,,,,*,,,*
***+*,,,*,,,,+,,,,,,*,,,,#........#***..#,,,∩******,****,***+**,,*,,,*
*,,,**+**,,,,*,,*****,,,,*,,*****,,**,,,*,,,,*,,,,*,,**,,*,,,,*,,*,,,*
*,,,*,,,*,,,,*,,+,,,*,,,,**'*,,,+,,**,,,******,,,,*,,**,,*,,,,**+*****
*,,,*,,,*,,,,*+**,,,*,,,,*,,*,,,*,****,,,,,,,***+**,****,*,,,,*,,,,,,*
*,,,*,,,*,,,,*,,*,,,*,,,,*,,*,,,*,****,,,,,,,,,,,,,,****,*,,,,*,,,,,,*
*,,,*,,,*,,,,*,,*,,,*,,,,*,,*,,,*,,**,,,,,,,,,,,,,,,,**,,*,,,,*,,,,,,*
**********************************************************************