###############################################################################
#..............................................................................#
#..............................................................................#
#...............[....................................).........................#
#.............).....................###############............................#
#..............)....########........#.#..'...#..#.'............(...............#
#......#########....#......#........##'#########'##............................#
#......#.......#....#......#........#.#..#...#..#.#............................#
#......#.##.##.#....#......#........#.#..#...#..#.#............................#
#......#.##)##.#....#......#........#####'...###'##............................#
#......#))))...#....#......#........#.#..#...#..#.#..............#'########....#
#......#)##.##.#....#......#........#.#..#...#..#.#..#############........#....#
#......#)##.##.#....#......#........#.#..#...#..#.#..#...........'........#....#
#......')).....#....#......#........##'###...'#####..#...........#''####..#....#
#..########)####....##'#####........#.#..#...#).#.#..#...........#..#  #..#....#
#..#...........#....................#.#..#...#..#.#..#........).)#..#  #..#....#
#..#....#.#....#....................##'#########'##..#.#.#.#.#)#.#..####..#....#
#..#...##.##...#..[.................#.#..#...'..#.#..#...........#.....'..#....#
#..#..##...##..#....................###############..#.#.#.#.#.#.#.....'..#....#
#..#.##.@.X.##.#.....................................#...........##########....#
#..#.#..%>...#.#.....................................#...........#.............#
#..#.##...D.##.#............%.......####.............#...........#.............#
#..#..##...##..#...#########........#..#..[..........#...........#.............#
#..#...##.##...#...#.......#......###..###...........#############.(...........#
#..#....#[#....#...#.......#......#..##..#......................!.(#'########..#
#..#......[.)..#...#.......#....###..##..###.......................#........#..#
#..########'####)..#.......#....#..##..##..#.....................(.#........#..#
#...........((.()..#.......#....#..##..##..#....................((.#........#..#
#..............))..#.......#....###..##..###.........######....))).#........#..#
#..................#####''##......#).##..#...).......#.##.#........#........#..#
#.................................###%.###.......|...##..##........#........#..#
#...########........................#).))............##..##........##########..#
#...#......#...................######'#####..........#.##.#....................#
#...#......#...................#..........#..........#'####....................#
#...#......'....[..............#..........#......................##'#####......#
#...#......#...................'..........#......................#......#......#
#...#......#...................#..........#..####'#######........#......#......#
#...#......#...................#..........#..#..........#........#......#......#
#...########...................#.....[....#..#..........#........#......#......#
#..............................############..#..........#........#......#......#
#.........#############......................#..........#........#......#......#
#........#####(....#####.....................#..........#).......#......#......#
#...[...####.........####....................#..........#........#......#......#
#.......###..<........###....................############........########......#
#.......##.....###.....##......................................................#
#.......##.<(### ###...##.........................##########'###########.......#
#.......#..(.#     #....#.........................# #####  #(.#  ##### #.......#
#.......#.))##     ##...#####'##..................###...####).####..!###.......#
#.......#...#       #...#.....%#..................##.....##))).##.....##.......#
#.......'(..##     ##...'......#..................##.)...##....##.....##.......#
#......)#....#     #....')))...#..................##....##..)...##....##.......#
#.......##...### ###...##%>)...#........########..##...##..#..#..##...##.......#
#.......##.....###.....##)%[...#........#......#..##..................##.......#
#.......###...........###......#........#......#..##..................##.......#
#.......####....<....## #......#........#......#..##...##..#..#..##...##.......#
#........#####.....#############........#......#..##....##......##....##.......#
#.........#############..)..............#......'..##.....##....##.....##.......#
#........................)..............#..>...#..##.....##....##.....##.......#
#........................##'#########...#......#..###|..####..####..}###.......#
#........................#..........#...#......#..# #####  #..#  ##### #.......#
#........................#..........#...########..######################.......#
#........................#..........#..........................................#
#........................#..........#..........................................#
#...)....................#..........#......................)...................#
#..%.)...................#..........#..........................................#
#....)...................#..........#.................∩........................#
#..).....................############..........................................#
#..............................................................................#
#..............................................................................#
################################################################################