$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$7$$$$$77$777777777777777777777777777777777777777777777777777777777777777777777777
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$7$$777$$7777777777777777777777777777777777777777777777777777777777777777777777777777I777I7
$$$$$$$$$$$$$$$$$7$$777$7777777777777777777777777777777777777777777777777777777777777777777777777II7777I7III7I7IIIII77II
$77$$$777$$$777$77777777$77777777777777777777777777777777777777777777777777777777777I7II777I77IIIIIIIIIIIIIIIIIIIIIIIIII
7777777777$7777777777777777777777777777777777777777777I777777777777777777777I7IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
777777777777777777777777777777777777777777777777777IIIIIII77III7IIIIII7IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
777777777777777777777777777777777777777777777777III7IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
7777777777777777777777777777777777777I777I77II?+I=?~,~==:~?~==,=IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII????II
777777777777777777777I77III7777IIIIIIIIIIII7=7II?7++~+?77II?I+=,~IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII?III?I?I?????????????
777777II77II7I7I7IIIII7I7IIIIIIIIIIIIIIIII$777777I~?I77$~==,~?+=.~??IIIIIIIIIIIIIIIIIIIIIIII????????????????????????????
77IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII7I777$$$?=7$$77?:~=,,,.I??=~,:=I??I???????????????????????????????????????????
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII7777$?~+$?I$I+=I?=?=,::=:,~+~,:,??????????????????????????????????????????????
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII?IIII$$I+77$7I77I+~=+=+??++=~.:=~~,~++???????????????????????????????????????????
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII????III$$$$$$$$$$$$7II77I~7I?++=,:,,,,:~,.??????????????????????????????????????????
IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII??I?I7$7$ZZZ$$$$$$$$$$77777II+++::==,,:~:,,.,??????????????????????????++++??++++++++
IIIIIIIIIIIIIIIIIIII????????????I?$ZZZ$ZZZZZZZ$$$$$$$$$7$$7777II?I~~.~~,:~+=:.,,.?+??????+++++++++++++++++++++++++++++++
?I??????????????????????????????I$$Z$$$$$ZZZZZ$$$$$$$$$$$77777+~+=:,..:,,==+=~...+++++++++++++++++++++++++++++++++++++++
???+==++?????????????+???????????7$$$$$$$$ZZZZ$$$$$$$$$$77777II???=~,.,:=?+=+~....++++++++++++++++++++++++++++++++++++++
??++=~~~~~~+?++=+~=++=~~~~:::~$ZZ$$$$$$$$$$$$$$$$$$$$$$$77777II??+~==~,~?????+::=:,,,::+++++++++++++++++++++++++++++++++
??++==~~~~~~=~~=?II77II7I~~+$ZZZZZZZ$$$$$$Z$$$$$$$$$$$7777777II????++=:::I????+===::,:,,=++===+++++=+=+====++===========
?+?+++==++?+????II7$7$777I?$ZZ$$Z$ZZZZZ$$$$$$$$$$$$$$$77777777III?+~~=+=IIIII??+=::=~~:..+==============================
++++++?????????+=+7777$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$77777IIII???IIIIIIII??===~:,:~,,================================
:~++++++????I?++~~?77777$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$7777777IIIIII?=IIIII?++++=::::,.================================
::::::==????????+=?II777777777$$7$$$$$$$$$$$$$$$$$$$$$7777777777IIIIIII?IIII??++++=~,:==================================
~:::::~~++????+?????I77IIII777777777777$$$$$$$$$$$$$$$$$$$777777777IIIIIIII??=++++~.:===================================
~~~~~==+++++++++??IIIIIIIIII7777777777777777$7$$$$$$$$$$$$77$$$$~,II??~.I??I?=??+=:...~=================================
====+==++=++=+=++++???I???????IIIIII7IIIII777777$$$$$$$I$$$+??+I~..+:,::..~:+:~=:,:,.,.:========================~=====~=
==========~~====~~~+?+????????+++?++==+???II777777$$$$II?=?+777III?+~+~7+$7I?$$I7+:,,,....=====================~~~~=====
=======~~~~~~~~~~~~=++++???++++++++++++=+?III7777777I++~:?$$$777II??,?$ZZZZZ$$$$7I+.,:,.,.~~==~============~=~~~~=~~~~~~
~======~~~~~~~~~~~~~==+=+++==+++++++++++~+III7777777777?$77$$$777I?$ZZ$ZZZZ$$$$$77I++I?:..~==~~=~=~~=~~~~~~~~~~~~~~~~~~=
==========~~~~~~~~~~~~~=========++++++++==??I777777$$$7777$$$$77II$ZZZZZZZZZZZZ$??.7+.+,=.,.:====~====~=====~~~~~~~====~
===========~~~~~~~~~~~~~~~~~=====++++++++++?III?77$$$$77$7777$77ZZZZZZZZZZZZ7I77$7++.=?:+~,,,,~~~=~=~=~====~==~~~~~~~~=~
============~~~~~~~~~~~~::~~~~~==~==+++++++??????I7$$$$$$$77777$$$ZZZZZZZZ$Z$$$Z$$77+:+,:.,,,,,~~===============~~~===~~
=============~~~~~~~~~~~~~~~~~~~~~~~====+++++?+??77777$$$$777$I$$7$$$$$$$7$$$$$7$$7I?+=+:.,,,,:====~====================
=============~~~~~~~~~~~~~~~~~~~=~~~~~====++++++?I777777777$$7$7$777777$777777777III?+++~.::,,~=~=~==~~==========~======
++=+============~~~~~~~~~~~~~~~~~~~~~~~=====++++???II77777777$77$$$$77777777777777II??+=,:.,,:~~~~~~=======~============
++++++==============~~~~~~~~~~~~~~~~~~~~========+++?????I?77$$$7$$$$77777777I7777III??~,::...~~~~~~~~~~~~~=~~=~~~~~~~===
++++++++++======================~~~~~~~~~========++++?????777$$7$$$$$$$$$7777IIIIII?....,.:. ..~~~~~====================
??????++++++======================================+++++++?I77$$I777$$$77$77777I?II+,,..,....,..,.:..,.,,~::~~~~=========
==+++++++++++========++========~~~~~~=~~==========+++++++++?7$7$77$$$77777777II?~+++=~=:..,,.:::.,,,:,,..:::::~~:~~~~~~~
++++++++++??+=++=======+++=====~~~~~~~~~~==========+++=+++++??777777777777777IIII?I??+=~,~==~..,.,~=~:,,  ..,:.,::~~~~~~
+~====++++?++++?+++?+=++++??++++++====~==+=========+==+==+++++?III7777$$77777777IIIIII?????+~:, ,..,=+:... :~:,..,::~:~~
+==++++==+++++++++++=++==================+========+=++===+===+++++??II7$$$77$77I77IIIIIIIII??~~:..,.?+:~.,..~~~~:,..::::
=+++++++==??IIIIIIII????????+?++??+++==================++==++++++++++?I777$$$$7777III7IIIIIIII+~ .~.,?=?:=,...~~~,,,::::
IIIIIIIIIIII77IIIIIIIIII????????????+==+=+===+++++++++++++++++++++=++I77777?$$$$777777777777III+=~.=,.~.~:,~. :::::::~~=
I7777777IIIII??IIIIIIIIIIIIIII?????++++?+++=+=++=++??+++?++++++++++I777I+:I$$$$$$$77777777IIII????.,+..:,.:~:..,~~~~~~~~
I?????IIII7777II77777777IIIIIII?????++=+++????????????????+++++++++$$$77777$$$$$$$$$$7777777IIIII+.~?=?=..=~~~::,~~~===+
~~~~~~~~~~~~=~~~==?I??++++=~~+I?IIIIIIIIIII?????????????=++?+++++++I$$$$$$$$$$$$$7777$7777777III??+:=?+=..~~:,~~~~~~:~==
:::~~~~~~~~~::::::::~::::::::~::::::::~~======??+??++++==========++$$$$$$$$$$$$$$$777777III7III??+,=+=~:,~~~:~~=~~:~::::
:~~~~~~~::~~::~~~~:~:~~:::::::::::~:::::::::::::~~~~~==~=~~~~~=~=?$$$$$$$$$$$$$$Z$$$$$$7III77II??+++..=~,::::::~=~+===~~
~==~~=~~~~~~================~~~========~~:~~::~::::~~::~~~~~~~~==$$$$$ZZZZ$$$$Z$$$$Z$$$7I$777II?~~=~:~=:.:,,:::,,,,,:,..
++=~~===~===~~==~===~~~~==+++++++++++++++++++++++++==~~~~:~::~=+$$$$$Z$$$$$$$Z$$$$$$$Z$77$77III?+:++:,~:,:,,,..,,.,..:::
++=====+++?=~~~~~~~~===++++??+??+??+??++?+++++++++++++=~~~~~==++$$$$$$$$$Z$$$$$$$$$$$77+?I?7I???+,==~:,,,,,......,,..,.:
+++===+===++++~~=~~~=:~~:~===~~~~::~=+??=====+++++?++=~~==++????$$$$$$ZZZZZZ$$$$$$$77II:?+II?++++:,:::,,......,~:,,.....
??++++++++???==~:~~~::~:::::,,::~~:::::~=~~~~==+++++++++?????????$$$$$ZZZ$ZZ$$$$$$77$7$7?+?????+++::~,,..,......,.,,....
=======+=+~==~:~+?+++=====~~~~~~~::~::~~::,::~~==+?+++???????I??7$$$Z$$$ZO$ZZZZZ$ZZZZ$I:+:.:+===~~~,::,,................
++??+???+???+=IIIIIIII?????+++++===~~~:~~:~~~~===~++?????I??I???7$$$$$ZZ$$ZZZZ$$$ZZZ$$7777=.:.~==:.:::,,..,,,,,::.....,,
7IIII77777777IIIIIIIIIII??????++???++?+++===+===++=~?IIIIIIIIIIII$$$ZZZZZZZZZZZ$ZZZ$Z$ZZ$7I=..=~~::~~~~,.,~~~:,...,,,...
7$777777777I7III???????I????II?II?I??????????+++++????IIIIIIIIIIII$$Z$ZZ$$$$$ZZZZZZ$$77777?,=.~:~~::~:::,,,,,:::,,::,,:~
$$$$$$7777777777III77I7IIIIIIIIIII????II?????++++++++???IIIIIIIII$$ZZZZZ$$$$ZZZZZZZ$$777~I=I++,===+++++=~:,,,::~~:::::::
$$$$$$$$$$$77777777777777777IIIIII???II???????????????????IIIIII$$$ZZZZZ$$Z$$7=+Z+$7~7$7?I7I?=.===+++++===~:,::~~==~~~~~
$$$$$$$$$$$$7777$$777777777777IIIIIIIIIIIIIIIIIIIIIIIII?IIII???7$ZZZZZ$$$$$$$$$77I=7~777?7$7?~,.=++++=====~::::::~======
$$$Z$$$$ZZ$$$$$$$$$$$$$$$$$$$$77777777IIIIIIIIIIIIIIIIIIIIIIII?IZ$ZZZZZ$$+77$I+7$7$7?:7$I777?=~~.=++==~~,:::::,,.,:,,,,,
$$$$ZZZZ$$$$$$$$$$$$$$$$$$$$$$$$$$$$7777777777I7II7I777IIIIIIII?I?Z$$ZZZ$$$7I==$I+=I+=$7?7???+~.~:,,:,,,,:,,~::::::::,,,
ZZZZZZZZ$$$ZZZ$$ZZZZZZZZZZZ$$$$$$$$$$$$$$$$$$7777777777IIIIIIIIIIII$ZZZZ$$77?$$$$=,=~+IIII7?:~==~~~~::,,.,,,=~::~~~==~~~
ZZZZZZZZOOOOZZOZZZZZZZZZZ$Z$$$$$$$$$$$$$$$$$$$$$$$$$7777777IIIIII??II$ZZ$Z7$$Z$$Z$$7~?I?+?+=++===~::~:::::::::~~===~::::
ZZZZZZZZZZOOOOOOOOOOZZZZZZ$$Z$$$$$ZZZ$$$$$$$$$$$$$$$$777777IIIIII?????ZZ$$$$$$$$$$$7I:??~,~=::~~~=+==~~~~========~~=+=~~
ZZZZZZZZZZZZZZZZ7?I$Z$$$$$$ZZZZ$Z$$$Z$ZZ$$$$Z$$$$$$$$77777777I77II????I88ZZZ$$$$Z$77====~:~~::~~~+===~~~~=++++=+?IIIII??
ZZZZZZ$$$$$$$7$$$$$$$$$$$$$$$$$$ZZ$Z$$ZZZZZZZZZ$$$$$$$$$77777777III????7OOZ$$ZZOOO$I?+=~,:~~~:~:==+++==:.,:~~~:===+=~=+?
ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ$$$$$$$$$$$$$$$$$$$$$$$77777IIIIIIII?++?77$O8OZO$ZZI:,:::,,:::,,:,,,,,:::,..,:.,........
OOZZOZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ$$ZZ$$$$$$ZZZ$Z$$$$$$$7777IIIII7II??I7$$ZZOZZZZ$77,:,,,,,,,,,,,..,==.,,::~==~~~~~~~~:.
OOOOOOOOOOOOZZZZZOOOOOOZZZZZZZZZZZZZZZZZZZZZZZZZ$$$$$$$$$$$$$7II7$$$ZZZZZZZZZZ$$$77I+~........,,.~+?=+?I7I~::~~,,,,:~:,.
OOOOOOOOOOOOOOOOZZZZOZOOOZOOOZOOOZZZZZZZZZZZZZZZZZZZZZZZZ$$$Z$$$$$$$$Z$$ZZZZZOZZ7=++...............,:+?==,..............
OOOOOOOO$$$$ZZ$ZOOOOOZZZZOZZZZZZZOOZZZZ$ZZZZZZ$ZZ$$$$7??++=+~~~~=I7I?I+~~:::::,,,,,,,,......................... . .. ...
ZOO$77777$$$$$ZZZZZZZZOZZZZZZZZZZZZZZZZZZZ7?=~~~=~~~~~~::::::,,,:,,,,,,::,,,,,,,..,.........,,..........................
$7$$$ZZZZZZZZZZZZZZZZZZZZZZZZZZZZ77I~~~~~~~~~::::::~:::~:::::::,,,,,,,:::,,,,,,,.....,,,................................
ZZZZZZZZZ77IZ$777I7II?=+=~~~::::::::,,:::::::~:::::~~:::~::::,,:::::,,,,,,,,,,.,,.,,,.,.,,..........................,,..
$$$7I?+=========~~~~~~~~~~:~::~~::::::::::::::::,,,,::~~~~~~::~::~~::::,,,:,,.,,,,,,,,,..,,,,:,,...,.....,,,. ..........
=~:~~==~~~~~~~~~~~~~~~~~::::::::::::,,,:,::::~::::::::,,,::::,,,,,,,,::~::,..,,,,,,..,,,,.,,,,,,,,,...,:,,.,,,,,,,,,,,..
=~,,::,:~~~~~~:::~~::::~::::~:::::,,:,,,,,,:,,,,,,,:::::::~:::~:,,,,,,,:~~~::::,,,....,::,,,,.,,,,,:::,,:::::,,,,,,,,...
+~=+?+=~:::::::::~~~:::::::::~~~:::~:::::+~~=~:,,,,,:,,,~~~=::~===~:,,,,:,,,:::,..,,.........,,,,,,,,,,,,,::~:,,,,,,,,,,
~~=+~::~~::,:::~~~~~~~:~~~::~:::::::::~:,,::~~~~::::~::::,.,~=:::,:::~:::,,,,,,,~~,:::,.......,,,,,.,,.,,......,,,,,:,,,
==++++=~~~:~~~~~~~~~~:~~~~~~=~~=~~::::::::::,:,::::::,,::::::,,,:,,:,,=====:::,,.,~~::~,:,....,,,.,,.....,,,,,,,,....,~~
~~~~====~~~~~~~~~~~~~==++==~~~~::::~~~::~::::::,,::=,,:::,,,:,,,,,,:~~~~===:~:,,,,,~~:~::::,,~:..:==~:,,,,,...,,,,,,,,,:
~~~~~~~===~~~~~~=+=~==~~~~~~~~~:::::~~~~~~:::::::==:,?I+:,:~??:~::,,.,:~~~::,..,,,,:~=II7I??++:::,,,,,,,..,,,:,,.,::,::,
=======~===~==~~~===~~~~~~~:~~~~~~~~~~~~~~~~=~~~+=~~=+III+,,=~~:.,::,.:::,::::,,.:,,,:::::::,,:~,~~~??+~::.,,:,.,.,,,,,,
:~~===========~~~~=====~~~~~:::~~~=====+~~:::::~III77$$$7I=::+=:,,:,,,,,,,::~:::=~:,,,::~~======~:::::,,::.,,,,,:::..,.,
::~~~~~~~~~~~~~~=~========~~~~::::~~~~~~~~~:~+I7I7$$$$$$$7I?+=:::::::,.,:,:~~~~===~~~~::~:::::::~:,,~=~~,,~~:~~~==~,,:=+
::~~~~~~~:~~~~~~~~~~~~=======~=~~~=~~~~~::,,,:~=I7777?==???~:::~~~??=~,,,,,::::~~~:~~==~==~~==~:::~:,,:=~=III7I?::::,:+~
::~::::~~~~~~:::::::~~~~~~~~~~~====++????+==~::::~~~~~::~~~:::,::::::,,,,,,:,:::~~::~:::::,,,,,::~::=~,:::~~+===~~~~,,,:
MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
(Tak til GlassGiant.com)