^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
^^^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^
^^^^^^^^^^^~~~~################~~~~~^^^^^^^^^^^
^^^^^^^^^~~~#######################~~~^^^^^^^^^
^^^^^^^^~~###########################~~^^^^^^^^
^^^^^^^~~######..#   |? ##############~~^^^^^^^
^^^^^^~~####  |..#   #? ########  #####~~^^^^^^
^^^^^~~###.####..#   #?      #>#    ####~~^^^^^
^^^^~~###........#   #?#     #.#     ####~~^^^^
^^^~~####.##-###.#  #######  |.##-#######~~^^^^
^^~~### #.#    #.| ##::*::####.........###~~^^^
^^~###  |.#  ###.# #::* *::#........#######~~^^
^~~######.#  # #.###:* @ *:#.######.|   ###~~^^
^~###.....#### |...#* @@@ *#.#    #.########~^^
^~###.#-#....###...#*  @  *#.#    #......###~^^
^~###.# ####.......#*  @  *#.###-##.########~^^
^~###.#    #.#####.#* *-* *#........#    ###~^^
^~###.#    #.#   |.#***:***####.....#-######~^^
^~###.######.#####.#:::::::#  #.###......###~^^
^~###........#   #.####.#####-#.# ##########~^^
^~~########..#  ##..###=###.....| #     ###~~^^
^^~###    #..##-#...............####-######~^^^
^^~###    |.......###.$.$.#####.........###~^^^
^^~####   #.#####.# |.$.$.|   ##.#########~~^^^
^^~~####  #.#   |.###.$.$.#    #.|    ####~^^^^
^^f~~#### #>#   #.....$.$.#    #.#   ####~~^^^^
^^^f~~~####.#   ##-##.$.$.#    #.# #####~~f^^^^
^^^fff~~######  #   #.....#    ########~~f^^^^^
^^^^fff~~~#############.#############~~~ff^^^^^
^^^^fffff~~~###########=###########~~~ffff^^^^^
^^fffffffff~~~~~#######|#######~~~~~fffffff^^^^
^ffffffffffffff~~~~~~~~|~~~~~~~~fffffffffffff^^
$$$$$$$$$$$$$$$$$$$$$$$|$$$$$$$$$$$$$$$$$$$$$$^
ffffffffffffffffffffff$|$fffffffffffffffffffff^
$$$$$$$$$$$$$$$$$$$$$$$|$$$$$$$$$$$$$$$$$$$$$$^