77777777777777777777777777777777777777777777777777777777777777777777777777777777
777777777777777777777777777777777777777777I++?7777777777777777777777777777777777
777777777777777777777777777777777777I7I?+:,:::,:=?7777777777777777I7777777777777
777777777777777777777777777777I?=,::,::::::,:,,,,:,::=?II777III77777I???I7777777
77777777777777777I777I=:~::,,:,,,,,,,,,,,,,,::::::::::~:::::::::~=?~~::~:::+7777
777777777777+,,.....,,,.,,,,,..,,,,,,,,,,::,,::::::::::::::::::::::::::::::~:+77
777777777777=....................,....,,,,:,,:,,::::,:::::::::::::~~:~:::::::::=
77777777777I?.........................,,.,,,,,,,,,,,,:::~:::::~::::::::::~~:::::
7777777777+,........................................,.,,,,,,,::::::,::~:~~::~:~~
777777777=......................................................,,,,::::~:~::,,:
77777777?........................................................,,,,~~~:,,,,,,,
77777777~........................,,,,,,,.,,,,,......................,~:.........
777777777:.......................,:,::::::~,::,::,,,,,,,,:~..........:..........
7777777777:....................,,:::~~:~~~:::~::::::::,,,,,....:..,.,,..........
777777777?..................,::::=++++++++++=~~~=++::,,,,,:,,....,,..,......,,:=
77777777+...................,:~++++??+??+++++?+????=:,,,,:,,......,..,....,,:~~=
7777777:..................,,,,,=++?????++++++?:..,........,,,,.......,,,..,:~==~
777 77:.....................,,,~++??????+++++~..............,,,,..........,,~~~~
77777+..............,,....,,,,,::=++?+???++,.....,,,.,,,,...................,,,,
777+.,.....................,:::,::~+?+??+=,,....,,,.......,::,...............,,,
77?,.........................,:::,=++???=,,.....,,......?7IIII7................,
7=................,.,::??:.....,,,=++???~,...........,.?II+=:II~................
+.................::+III7I+......,=+I?+?~.......,,...,I7:.....::,...............
..................~?77I?.,......,,,=+??+=,.......,..,II7...,.,.=................
..................=77I?.,,,.,,.,,,:??++++:,.....,....II7.....,=.................
.................,III7+,:~:+~..,,,,=++?+=.,.....,....,+7,..,II:.................
=.,...............,=I7,.:,+~....,,:~+++?~.......,...........,,,....,,,..........
III,...............,=II=,.......,,:++??+:..........,,:~~:......,.,:,,,..........
777:................:~~......,.,,~++??+~=,..,,++::~==++?+?++:...,:,.,...........
777:....................,:====,,,=+.,.........,,~====+==+?+??+~~=:,,,...........
777=.........~~,.......,~=+=~~...........,........:~~+====+++?+==,,,............
777,.........,=+==~:~~~====:.....=?,..,II7II?.:??:.....:~~=====::,..............
777...........+++++++++~.....,?III?...,?II77~.:II7=:,...,::~:::,,,,.....,.......
I77...........,=~=++++:......,I?II~....:7777,.:77III,.....::,:,,,,..............
=,,,...........:~~==,........,?II=......+??=....+II=.,I~.....,:.................
................,::,........,,I77,......~=~......:?...+7,...,..................,
...................,.....................~.............I==.................,,...
.................:=:.....~,.......................,....+?I,.............,,,,,,..
.................=7:....~I+..................,.,.......~~..............,,,.,,,,,
.......................:77I:...,?~.....I?...,III+..,......................,,,,,.
.......................=IIII~..=I+....~I??,.:III?:~:......~~...........,,..,,,,,
...................,......+?+..=?++,..~I+?~.,++++++~..................,,,,,,,,,,
......,,++?:.........=,,......................,,....................,,.,,,:,,:::
......:,:???:.........:?=:,,..............,,:,~~+?=:,................,,,,:::::,,
......,~+++?=~..........~=+++++?I???III???+???++=~:,,,.............,..,,,,,,,:::
.....,+?+==~~~...........,=++++++???I?????+???=~~:,,,.................,,,.,+::::
.....:~:,,:~:...,::~,......~+=~+??????++=~~~~~~:~:,...................,.,::::~~:
.....,~:.,,::.......~+.......,~++=++++==::,:,,.,........................,,,,,:::
..........,::........,~.............,,............................,....,,.,,,,,,
,..........:=..........:,..............................................,,....,,:
~:........,.~..................................................................: