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~~~~~~~~~~~~~~~b^^^^vyyz~~~~~~~~~~~~~~~~~~~yysssssssssssssssxss|shsshshxsshsshsss/yyhhhyyyppppppyyyyyyyyyy\yyyyyypprrpppppfppfppppppppppssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrRRRRrrrsssssssssssssffffffffffffff|ffFFFFFFFFffffffffffffffff^^^^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffvv~rffvvvvvvv~~~~~~~~~~rvvvvvf^^^^^^^^^lllllllllllllliiidddddddddddiiiiiiidddiiiiiddddiiiiiiiddddddddd^^^^^^^~~~~~~~~~~~~^^^^^^^^^^^^^^^^^|ddd~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~^^^vvzvv~~~~~~~~~~~~~~~~~~~sssssssssssss###sss|shssshsssshsxsss/yyyyyyyyyppppppppyyyyyyyyy\yyyypprrpppfppppppfpfpfppppppssssxsssssxsssssssssssxssssssssxsssssssxssssssssssssssrrrRRRrrrsssssssssssssffffffffffffff|ffFFFFFFFFfffffffffffffff^^^^^^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffsrvvv~~~~~vvvv~~~~~~vrvvvvvvvf^^^^^^^^^^llllllllllliiiidddddddddddiiiiiiddddiiiiiddddiiiiiiiddddddddd^^^^^^~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^|ddd~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~^^^vz~~~~~~~~~~~~~~~~~~~~ssssssssssssss##?##--+-------------?-+yyyyyyyyypppppppppyyyyyyyyyy\yyyprrppfpppppppppppppffpppssssssssssssssssssssxssssssssssssxsssssssssssssssssssssrrrRRRrrrssssssssssssfffffffffffffff|ffFFFFFFFFffffffffffffffff^^^^^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vv^^^^^^^^^^lllllllllliiiiidddddddddddiiiiidddddiiiiiddddiiiiiidddddddddd^^^^^^~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^|ddd~~~~~~~~~~~~~~~~~~~~~~~~
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~rsssssssssssssssssss|slsxsssyssxsssppyyyyyyypppppppppppyyyyyyyyyyy|prrpppppppffffffffppfppfppsssxsssssssssssssssssssssssssssssssssssssssssssssssssssrrrRRRrrrssssssssssssffffffR???Rffff|ffFFFFFFFFfffffffffddddddddddd^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvv^^^^^^^^lllllllllliiiiidddddddddddiiiiiiddddiiiiiddddiiiiiidddddddddd^^^^^^~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^|d~~~~~~p~~~~~~~~~~~~~~~~~~~
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssssssslsss|sssxssssssssspppppp+------#?#pppyyyyyrrsssspp|fpppfppppppppfpppppppfpppppffff?fffsssssssssssssssssssfffffffsssssssssssssssrrsssrrrrrRRRRrrssssssssssfffffffFFffffff+ffFFFFFFFFdddddddddddddddddddddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vf^^^^^^^^^^^lllllllllllllliiiiiiiidddddddddiiiiiiidiiiiiiiddiiiiiddddddddddd^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~yyyyyyyyyyy|p~~~~~bpb~~~~~~
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssxsssssslss|ssssssxsssppppppppp|pppppppppzllllllzzssspppp|pxppppppfffffffpppppppfppppfffffssssssssssssssxssssffffffffffffssssssssrrssssssssrrrrrRRRRrrsssssssssssfffffffFFFf/fffffFFFFFFFFddddddddiiiiiiiiiiiiiiiiiiiiiiiiiii~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vv^^^^^^^^^^^^^^lllllllllllllllliiiiiiiiiidddddddiiiiiidiiiiiiiddiiiiiddddddddddd^^^^~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^~~~fffffyyyyyy|pppp~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~ssssssxssslsssslsssls|slxsslssssppppypppp|pppppppppzlllllllzssspppp|pppfpppffffFF?f?ppppppppppfffffssssssxssssxssssssfffffffffffffffssssssrrsssssssssrrrrrRRRRrrrssssssssssffffffffFF/ffffffFFFFFFFFfddddddddiiiiiiiiiiiiiiiiiiiiiiiiiiiiii~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~f^^^^^^^^^llll^llllllllllllllllliiiiiiiiiidddddddiiiiiidiiiiiiddiiiiiddddddddddd^^^^~~~~~~~~~~~~~^^^^~~~~~~~~~~~~~^^hhffffffyyyy|pppp~~~~~~~~~~~
~~~~~~~~~~~~~d?dx^^~~~~~~~~~~~~~~~~~~~~~~ssssssxsssssssssssssss|ssssssssssppppppppp|ppppprrrrrllllllzzssppppp|fpppppppfffFFFFfffppfppppffffffysssssssssssssssssfffffffff#fffffsssssrrssssssssssrrrrrRRRRrrrssssssssssffffffffF/fffffffFF?FFFFFffdddddddddddddddddddddddddddddddddddiiiddds~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vv^^^^^^^^lllllllllllllllllllllllliiiiiiiiidddddddiiiiiiddiiiiiddiiiiiidddddddddd^^^^~~~~~~~~~~~~~^^^^~~^^^^^^^^^^^^^hhiiffffyyyy|pppp~~~~~~~~~~~
~~~~~~~~~~~~~~~dd^^^^~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssssssss|ssssssssssssssspppp|pppprryszllllllzzsspppppp|pppppfpppffffffffffppp?ppffffffsssssssxssssxsssssffffffff#fffffffssssrsssssssssssrrrrrRRRRrrrsssssssssssfffffff/FfffffffFFFFFFFFfffddddddddddddddddddddddddddddddddddd!ddddss~~~~~~~~~~~~~~~~~~~~~~~~~ffff~~~~~~~~~~~~~~~~~~~~~~~~vf^^^^^^^^llllllllllllzzzzzzzzzzzzliiiiiiiidddddddiiiiiiiiiiiiiddiiiiiidddddddddd^^^^~~~~~~~~~~~~^^^^~~^^^^^^^^^^^^^^hhhiiffyyyyy|ppppb~~~~~~~~~~
~~~~~~~~~~~~~~~~z^^^~~~~~~~~~~~~~~~~~~~~~~~~xssssssxxxsssxxxsss|sssssssssssssss+---+prrrrysszzzzzzzzsppppppfp|ppfpppppfpppppppppppppfpfffffffyssssssxssssssssffffffffffff##ffffsssrrsssssssssssrrrrrRRRRrrrsssssssssssffffff/FFfffffffFFFFFFFFffffdddddddddddddddddddddddddddddddddddddddsssr~~~~~~~~~~~~~~~~~~~~~~~~~fffff~~~~~~~~~~~~~~~~~~~~vvv^^^^^^^^lllllllllssssssssssssssssllliiiiidddddddiiiiiiiiiiiiiddiiiiiiiddddddddd^^^^~~~~~~~~~~~~^^^~~~~~^^^^^^^^^^^^^hhiiffffyyy|pppbb~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~ssssssssxxxssssxxss|sssssssssssssss|pppprryssssssssssssspppppfppp|pppppppppppppfppppppppppffffffyssssssssssssfffffffffffffff###fffffssrssssssssssssrrrrrRRRRrrrsssssssssssfffff/fFFfffffffFFFFFFFFfffffsdddddddddddddddddddddddddsdddd?dddddssssrvvf~~~~~~~~~~~~~~~~~~~fffffff~~~~~~~~~~~~~~~~~~~~~~vvv^^^^^^^lllllllsssssspppppppppsssliiiiiidddddddiiiiiiiiiiiiiddiiiiiiiddddddddd^^^^^~~~~~~~~~~~^^^^~~~~~^^^^^^^^^^^hhhhiifffffyy|pppb~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssxxsssxsss|sssssssssssssss|pprrryssssssssfffffffffppppCC|fppfppfpfppppppppfppfpppffffsssssssxssfffffffffffffffffff####fffffsrrssssssssssssrrrrrRRRrrrrsssssssssssffff/ffFFfffffffFFFFFFFFfffffssssdddddddddddddddddddssssddddddddddssssrvvv~~~~~~~~~~~~~~~~~~~~fff%fff~~~~~~~~~~~~~~~~~~~~~~vf^^^^^^^^llllllzssssppppppppppppsszliiiiiddddddddiiiiiiiiiiiiddiiiiiiiddddddddd^^^^~~~~~~~~~~~~^^^~~~~~^^^^^^^^^^^^^hhiifffffyy|pppb~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssss~sssxsssxsssss|sssssssssssssss|rrrssssssssffffffffffffffppCC|pppppffppppfpppfppppppppffffysssssssssffffffffffffffff#######fffffsrsssssssssssssrrrrrRRRrrrrsssssssssssfff/fffFFFffffffFFFFFFFFfffffssssssssdddddddddddsssssssssddddddddssssrvvv~~~~~~~~~~~~~~~~~~~~ffffffff~~~~~~~~~~~~~~~~~~~~~~vv^^^^^^^^llllllzzsssspppp?pppsssszzliiiiiddddddddiiiiiiiiiiiidddiiiiiiddddddddd^^^^~~~~~~~~~~~~^^^^~~~x^^^^^^^^^^^^hhhiifffffyy|pppb~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ss~~~sssssssssssss+---------------+==---------------------------+?fffppppppppppppppfffffffffffffy!ssssffffffffffffffffff#####FffvvvrrssssssssssssssrrrrRRRrrrrsssssssssssff/ffffFFFffffffFFFFFFFFfffffsssssssssssssssssssssssssssssddddddssssrvvvf~~~~~~~~~~~~~~~~~~~~~~ffff~~~~~~~~~~~~~~~~~~~~~~~~~~v^^^^^^^^llllllzzsssssppppsssszzzzliiiiiiddddddddiiiiiiiiiiddddiiiiiiddddddddd^^^^~~~~~~~~~~~~^^^^^^^v^^^^^^^^^^^^^hhiifffffyy|ppp~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~s~~~~sssssssssssxssssssssssssssssssrrssssffffffffffffffffffffffff|fffffffpppfpppffffffffffffffffffffssfffffffffffffffffff#?FFFFFfffffsssssssssssssssrrrrRRRrrrrsssssssssssf/ffffffFFffffffFFFFFFFFfffffssssssssssssssssssssssssssssssddddsssssr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~f^^^^^^^^lllllllzzsssssppsssszzzzzliiiiiiddddddddiiiiiiiiiidddddiiiiiddddddddd^^^^~~~~~~~~~~~^^^^^^^^v^^^^^^^^^^^^hhiiiffffyyy|ppp~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ss~~~~sssssssssssssxssssssssssssssrrsssssffffffffffffffffffffffff|ffffffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFfffffsssssssssssssssrrrrRRRRrrrsssssssssss/fffffffFFffffffFF%FFFFFfffffsssssssssssssssssssssssssssssssssssssssr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vf^^^^^^^^lllllllzzzzzzzzzzzzzzzllliiiiiiiddddddddiiiiiiiiidddddiiiiiddddddddd^^^^~~~~~~~~~~~^^^^^^^^vv^^^^^^^^^^^^hiifffffyyy|pp~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~s~~~~~~~~~~~~~~~~~~~ssssssssssssssssssssxsssssssrssssffffffffffffffffffffffffff|ffffffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFffffffssssssssssssssrrrrRRRRrrrssssssssss/ffffffffFFFfffffFFFFFFFFfffffssssssssssssssssssssssssssssssssssssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vv^^^^^^^^^lllllllllllllllllllllllliiiiiiiidddddddiiiiiiiiidddddiiiiiddddddddd^^^^~~~~~~~~~~~^^^^^^^^^v^^^^^^^^^C--+hhffffyyyy|pp~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~ss~~~~~~~~~~~~~~~~~~~~ssssssssssssssssssssssssssssrssssfffff%fffffffffff^!^ffffff|ffffffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFffffffsssssssssssssssrrrRRRRrrrsssssssss/sffffffffFFFfffffFFFFFFFFfffffsssssssssssssssssssssssssssssssssssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~f^^^^^^^^^lllllllllllllllllllllllliiiiiiiidddddddddddddddddddddiiiiiddddddddd^^^^~~~~~~~~~~^^^^^^^^^^vv^^^^^^^^^^^h\hyyyyyyyy|pp~~~~~~pp~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sss~~~~~~~~~ss~~~~~~ssssssssssssssssxssssssxsssrrrssssfffff^^^^^^^^^^^^^?fffffFF|fffffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFFFfffffsssssssssssssssrrrRRRRrrrssssssss/siiffffffffFFfffffFFFFFFFFfffffsssssssssssssssssssssssssssssssssssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~rf^^^^^^^^^lllllllllllllllllllllllliiiiiiidddddddddddddddddddddiiiiiddddddddd^^^^~~~~~~~~~~^^^^^^^^^^^v^^^^^^^^^^hhh\yyyyyyyy|ppp~~~ppppp~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ss~~~~~~~ss~~~~~~~sssssssxsssssssssssssssssssrssssfffff?^^^^^^^^^^^^^^^^ffffFF|FFffffffffFFFFFffffffffffffffffffffffffffffffffffffffffFFFFFFFFfffffsssssssssssssssrrrRRRRrrrssssiii/iiiiifffffffFFfffffFFFFFFFFfffffsssssssssssssssssssssssssssssssssssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vv^^^^^^^^^^^^^^^lllllllllllllllllliiiiiidddddddddddddddddddiiiiiiddddddddd^^^^~~~~~~~~~~^^^^^^^^^^^v^^^^^^^^^^^hhy\yyyyyyy|ppp~~ppphppp~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssss~~~~~~sss~~~~sssssxxxxxxxxxsssssssssssssrrsssffffff^^^^^^^^^^^^^^^^^lllfff|FFFFFFFFFFFFFFFfFffffffffffffffffffffffffffffffffffffffFFFFFFFFfffffsssssssssssssssrrrRRRRrrrsiiiii/iiiiiiiffffffFFfffffFFFFFFFFffffsssssssssssssssssssssssssssssssssssssrvvvfys~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvv^^^^^^^^^^^^^lllllllllllllllliiiiiiiiddddddddddddddddddiiiiiiddddddddd^^^^~~~~~~~~~^^^^^^^^^^^^vv^^^^^^^^^hhhyy+------+pp~~~~~phhp~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sss~~~~~~~~~sss~sssshihiiiihhhhxxxssssssssssrrssssfffff^^^^^^^^^^^^^^^^^^^llfff|FFFFFFFFFFFFffffffffffffffffffppppfffffffffffffffffffffFFFFFFFFffffffffssssssssssssrrrRRRRrrriiiii/iivviiiiffffffFFfffffFFFFFFFFffffssssssssssssssssssssssssssssssssssssrvvvvvsssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvv^^^^^^^^^^^^^^llllllllllllllliiiiiiiddddddddddddddddddiiiiiiddddddddd^^^^~~~~~~~~~~^^^^^^^^^^^^v^^^^^^^^^^hhyyyyyyyyy|pp~~~~pphhpp~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ss~~~~~~~~~~~ssssshhihhhhhhhiihhhxxsssssssssrssssfffff?^^^^^^^^^^^^v^^^^^^^ffff|f%ffffffff?fffffffffffffffffpppppffffffffffffffffffffffF?FFFFFFffffffffssssssssssssrrrRRRRrrriiii/ivvvvvviiifffffFFFfffffFFFFFFfffffsssssssssssssssssssssssssssssssssssrvvvvvsssssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvv^^^^^^^^^^^^^llllllllllllllliiiiiiiidddddddddddddddddiiiiiiddddddddd^^^^~~~~~~~~~~^^^^^^^^^^^^v^^^^^^^^^hhhyyyyyyyyy|pp~~~~~~ppp~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~s~~~~~~~~~sssssiiihhhhh^^^hhhhiixxx?sssssssrsssffffff^^^^^^^vvvvvvv^^^^^^^?fff|f#ffffffffffFFFFFFFFFFFFFFFFpppFFFFFFFFFFFfffffffffffffFFFFFFFFfffffffffsssssssssssrrrRRRRrrrri?/vvvvvvvvviiiffffFFFfffffFFFFFFfffffsssssssssssssssssssssssssssssssssssrvvvvfysssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvf^^^^^^^^^^^^^llllllllllllllliiiiiiiiiddddddddddddddddiiiiiddddddddd^^^^^~~~~~~~^^^^^^^^^^^^^^^v^^^^^^^^^hVhyyyyyyyyy|ppz~~~~~~pp~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssihhhhhhh^^^?hhhhhhhhxxxsssssrrsssffffff^^^^^^^vvvvvvvv^^^^^^f###|##FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffFFFFFFFFfffffffffssssssss+--============+CCvvvvvvvviiifffffFFFffffFFFFFFfffffssssssssssssssssssssssssssssssssssrrvvvfyssssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvf^^^^^^^^^^^^^^^lllllllllllllliiiiiiiiiiidddddddddddiiiiiidddddddddd^^^^~~~~~~~~^^^^^^^^^^^^###^^^^^^^^^hhhhyyffyyyy|ppz~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~s~~~~~ssihhhiiih^^hwrhhhh?hhhhxxsssrrsssfffffff^^^^^^vvvv?vvvvv^^ff####cccF##FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffsssssss/ss%rrrRRRRRrrrrb\vvvvvvvvvviiifffffffffffFFFFFFfffffsssssssssssssssssssssssssssssssssrrvvvvvsssssss~~~~~~~~~~~~~~~~~~~~ffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvf^^^^^^^^^^^^^^^llllllllllllliiiiiiiiiiiiiiidddddddiiiiiidddddddddd^^^^~~~~~~~~^^^^^^^^^^^^####^^^^^^^^^hhhffffyyyy+-?~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ss~~~ssssiihhihhhiihrrihhhhxxxxssssrsssffffffff^^^^^vvvvvvvvvvvvfff###cccccF#FFFFFFFFFFFFFFFFFFFFFFFFFFFCCCFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffssssss/ssssrrrRRRRRRRrrrb\vvvvvvvviiiiiffffffffffFFFFFFfffffssssssssssssssssssssssssssssssssrrvvvvvfyssssssss~~~~~~~~~~~~~~~~pppffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvf^^^^^^^^^^^^^^lllllllllllllliiiiiiiiiiiiiiiidddddiiiiiidddddddddd^^^~~~~~~~^^^^^^^^^^^^^^#####^^^^^^^hhffffffyyyy|yyy~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sss~~~~sssssxish^^^hhrrr?xxxssssssrrsssffffffff^^^^^vvvvvvvvvvvff+----cc+cc-----------------------------+---------------------------------------------+sssssrrrRRRRRRRrrrrb\vvvvvvviiiiiiiffffffffFFFFFFfffffssssssssssssssssssssssssssssssssrvvvvvvvsssssssss~~~~~~~~~~~~~~~~zzpfffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvvvvvvv^^^^^^^^llllllllllllliiiiiiiiiiiiiiiiidddiiiiiidddddddddd^^^~~~~~~~^^^^^^^^^^^^^^#####^^^^^^^^hhffffffyyy|yyyy~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssss~sssssssxsxrrrrssssss?rrssssffffffff^^^^^vvpvvvvvvvff/fff##ccccc#FFFFFFFFFFFFFFFFFFFFFFFFFFFF|FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffsssssssssssrrrRsssssRRrrrbb\vvvvvvvvvvviiifffffffFFFFFFfffffsssssssssssssssssssssssssssssssrvvvvvvvfysssssss~~~~~~~~~~~~~~~~~~ppffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvvvvvvvf^^^^^^llllllllllllllliiiiiiiiiiiiiiiddiiiiiiidddddddddd^^^~~~~~~~^^^^^^^^^^^^^^^####^^^^^^^hhhffffffyyy|yyyyy~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssss~~~~~~ssssssxsxxrrrrssssrrsssssfffffff?^^^^vvvvvvvvffff/fffff##ccc##FFFFFFFFFFFFFFFFFFFFFFFFFFFF|FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffsssssssssssrrrddddddRRRrrrbb\vvvvvvvvvvviifffffffFFFFFFfffffsssssssssssssssssssssssssssssssrvvvvvvvvssssssssss~~~~~~~~~~~~~~fzppfffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvvvvvvf^^^^^^llllllllllllllllllliiiiiiiiiiiiiiiiiidddddddddd^^^^~~~~~~~^^^^^^^^^^^^^^^####^^^^^^^^hhhffffffyy|yyyyy~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ss~~~~~~~~ssssssssxsxrrrrsrrssssssfffffff^^^^^vvvvvvvvvff/ffffff%####FFFFFFFFFFFFFFFFFFFFFFFFFFFFFF|FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffsssssssssssrrrddddddRRRRrrrbb\vvvvvvvvvviiiffffffFFFFFFfffffsssssssssssssssssssssssssssssrrrvvvvvvvssssssssssss~~~~~~~~~~~~ffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvv^^^^^^lllllllllllllllllllliiiiiiiiiiiiiiiiidddddddddd^^^^~~~~~~~^^^^^^^^^^^^^^^####^^^^^^^hhhhffffffyy|yyyy~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ss~~ss~~~~~~~~~sssssssssssxrrrrsssssfffffffff^^^^^vvvvvvffff/fffffffFFFF#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFF|FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffsssssssssssrrrddddddRRRRRrrbbb\vvvvvvvvviiiffffffFFFFFFfffffssssssssssssssssssssssssssssrvvvvvvvvvfyssssssss~~~~~~~~~~~~~~~~fffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^lllllllllllllllllllllliiiiiiiiiiiiiidddddddddd^^^^~~~~~~~^^^^^^^^^^^^^^^####^^^^^^^hhhfffffffff|yyyyf~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssss~~~~~~~~~sssssssssssssrrrssssssfffffffff^^^^^vvvvvffff/fffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF|FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffssssssssssrrrrdddddddRRRRrrbbbb\vvvvvvvviiiffffffFFFFFFffffssssssssssssssssssssssssssrrrvvvvvvvvvvvsssss~~~~~~~~~~~~~~~~~~~~fffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvf^^^^^^^lllllllllllllllllllllliiiiiiiiiiiiildddddddz^^^^^~~~~~~~^^^^^^^^^^^^^^^#####^^^^^hhhhfffffffff|yyfffff~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssrrrsssssssfffffffff^^^^^vvvvffff/ffffffffffFFFFFFFFFFFFFFFFFFFF?FFFFFFFFFFFFF|FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffsssssssssssrrrdddddddRRRRRrrbbbb+vvvvvvvvfffffff###FFFFrfffsssssssssssssssssssssssssrrrrrvvvvvvvvvfysssss~~~~~~~~~~~~~~~~~~~~~~~~ffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~f^^^^^^^dllllllllllllllllllllliiiiiiiiiiilbbbbbbbbb^^^^^~~~~~~~^^^^^^^^^^^^^^^#####^^^^hhhhhhhhffffff|ffffff~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ss~ssssssssssssssrrrsssssssffffffffff^^^^^vvvvvff/ffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFF|FFFFFFFFFFFFFFFFFFFFFfFFFFFFFFFFffffffffsssssssssssrrrdddddddRRRRRrrbbbb|vvvvvvviiiffff#####FFFrfffssssssssssssssssrrrrrrrrrrrrrrrvvvvvvvfyssssssssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~f^^^^^^^lllllllllllllllllllllliiiiiiiiilllllllllll^^^^^~~~~~~^^^^^^^^^^^^^^^^v^^^^^^^^hxxhxxhhhfffff|ffff~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssss~ssssssssssssrrssssssssffffffffff^^^^ddddddd/dffffffffffffffffffffffffffFFFFFFFFFFFFFFFFFFF|FFFFFFFFFFFfffffffffffFFFFFFFFFFffffffffsssssssssssrrrddddddddRRRRrrrbbb|vvvvvviiifffff######Fvvfffssssssssssssssrrrrrrrrrrrrrrrrrrrrvvvvvsssssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvf^^^^^^^lllllllllllllllllllllllllllllllllllllllll^^^^^~~~~~~^^^^^^^^^^^^^^^^v^^^^^^^^hxhxxxxxxxffff|ffff~~~bbp~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sss~~ss~~ssssssssssssrrsssssssfffffffffff^^^^d?dddd+ddddffffffffffffffffffffffffddddddddddfffffffff|ffffffffffffffffffffffFFFFFFFFFFffffffffsssssssssssrrrdddddddddRRRRrrbbb|vvvvvviiffffff######Fvvfffsssssssssssssrrrrrrrrrrvvvvvvvvvvvrvvvfyssssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~v^^^^^^^^^lllllllllllllllllllllllllllllllllllllll^^^^^~~~~~~^^^^^^^^^^^^^^^^v^^^^^^^hhhhhhhhxxxffff|ff~~~~ppppp~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sss~~~~~~sssssssssssssrrsssssssfffffffffff^^^^dddddd|dddddffffffffffffffffffffffdddddddddddddfffffff|ffffffffffffffffffffffFFFFFFFFFFffffffsssssssssssssrrrdddddddddRRRRrrrbb|vvvvviiifffffff#####Fvvfffssssssssssssrrrrrrvvvvvvvvvvvvvvvvvrvvvssssssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~v^^^^^^^^^lllllllllllllllllllllllllllllllllllll^^^^^^~~~~~~^^^^^^^^^^^^^^^^v^^^^^^^hhxxVx##xx#hpff|fff~~pppp~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~s~~~~~~ssssssssssssssrrsssssssfffffffff^^^^^^dddddd|dddddddddddddfffffffffffffdddddddddddddddffffff|ffffffffffffffffffffffFFFFFFFFFFffffffsssssssssssssrrrddddddddddRRRrrrrb+iiivviiifffff#ff####Fvvfffsssssssssssrrrrrrrrvvvvvvvvvvvvvvvvvrrfyssssssssssssss~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssss~~~~~~ssss~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^lllllllllllllllllllllllllllllllllll^^^^^^^~~~~~~^^^^^^^^^^^^^^^^v^^^^^^^hxxxxxx#xxhhppf|fff~~~pp~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssrrsssssssffffffff^^^^^^^dddddd|ddddddddddddddddddddffff%dddddddddddddddddfffff|ffffffffffffffffffffffFFFFFFFFFFffffffsssssssssssssrrrrddddiiidddRRRrrrii\iiiiisfffffff#fff#FFvvfffssssssssssrrrrvvvvvvvvvvvvvvvvvvvvvvvrrsssssssssssssssssssss~~~~~~~~~~~~~~sssssssssssssssssss~~~~sss~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^lllllllllllllllllllllllllllllllll^^^^^^^~~~~~~^^^^^^^^^^^^^^^^v^^^^^^^hhxxxx##hhhpppp|ff~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssrrsssssssfffffffs^^^^^^^dddddd|dddddddddddddddddddddddfdddddddddddddddddddffff|ffffffffffffffffffffffFFFFFFFFFFffffffsssssssssssssrrrrddiiiiiiiddRRrrrsii\iiissfffffffffffFFvvvffssssssssssrrrrvvvvvvvvvvvvv^^^^^^^^vvvvrrsssssssssssssssssssssssss~~~~sssssssssssssssssssssssss~~sssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^llllllllllllllllllllllllllllllll^^^^^^^^~~~~~~^^^^^^^^^^^^^^^^v^^^^^^^hhh!xxxxxpppppp|pp~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssssrrsssssssfffffff^^^^^^^^dddddd|ddddddddddddddddddddddddddddddddddddddddddddfdd|dddddddddddssfffffffffFFFFFFFFFFffffffsssssssssssssrrrdddiiiiiiiiddRRrrrssi\isssfffffffffffffvvvffsssssssssrrrrvvvvvvvvvvv^^^^^^^^^^^vvvvvrrssssssssssssssssssssssssssssssssssssssssssssssssss~~v~vvvvvvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^lllllllllllllllllllllllllllll^^^^^^^^^~~~~~~^^^^^^^^^^^^^^^^v^^^^^^^hhhhhxxxppppppp|ppp~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssssrrsssssssfffffff^^^^^^^^dddddd|ddddddddddddddddddddddddddddddddddddddddddddddd|ddddddddddddddddffffffFFFFFFFFFFffffffssssssssssssrrrrdddiiyyyiiidddRRrrssss+ssssffffffffffffvvvffsssssssssrrrvvvvvvvvvvvf^^^^^^^^^^^^vvvvvryssssssssssssssssssssssssssssssssssssssssssssvvvv~~~~~vvvvvvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^lllllllllllllllllllllllllll^^^^^^^^^^~~~~~~~~^^^^^^^^^^^^^v^^^^^^^hhhhhhhhppppppp|ppppp~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssssrrssssssffffffff^^^^^^^ddddddd|ddddddddddddddddddddddddddddddddddddddddddddddd|dddddddddddddddddddfffFFFFFFFFFFffffffssssssssssssrrrrdddiiyyyyiiiddRRrrssss|ssssffffffffffffvvvffssssssssrrrvvvvvvvvvvvvv^^^^^^^^^^^^^vvvvvrysssssssssssssssssssssssssssssssssvvvvvvvvvvvvvvv~~vvvvvvvvvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^zzzzzzzzzzzzzzzzzzzzzzzz^^^^^^^^^^^~~~~~~~^^^^^^^^^^^^^vv^^^^^^^hhvvvhhpppppppp|ppppp~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssssssrrrssssssffffffff^^^^^^dddddddd|ddddddddddddddddddddddddddddddddddddddddddddddd|dddddddddddddddddddddfFFFFFFFFFFffffffssssssssssssrrrrdddiiiyyyiiidddRRrrsss|ssssffffffffffffv?vffssssssrrrrvvvvvvvvvvvvv^^^^^^^^^^^^^^^vvvvvrysssssssssssvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvrrrrrrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^sssssssssssssssssssssss^^^^^^^^^^~~~~~~~^^^^^^^^^^^^^v^^^^^^^^hhvvvvhlllppppp|ppp~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssssssssssrrrsssssssffffffff^^^^^^dddddddd|dddddddddddddddddddddddddddddddddddddddiiiiiiii|iiiiiiidddddddddddddddFFFFFFFFFFffffffssssssssssssrrrrdddiiiyyyyiidddRRRrsss|sssssfffffffffffvvvfssssssrrrrvvvvvvvvvvvvvf^^^^^^^^^^^^^^^^vvvvrssssssssssssvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvrrrrrrrrrrrrrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~f^^^^^^^^^^^^^^^sssssssssssssssssss^^^^^^^^^^^^~~~~~~~^^^^^^^^^^^^^v^^^^^^^^hhvvvhhllllpppp|ppp~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssssssssrrrssssssssffffffff^^^^^^!ddddddd|dddddddddddddddddddddddddddddddddddiiiiiiiiiiii|iiiiiiiiiiidddddddddddFFFFFFFFFFffffffssssssssssssrrrrddddiiyyyyyiiddRRRrsss|ssssssffffffffffvvvfsssssrrrrrrvvvvvvvvvvvvv^^^^^^f^^^^^^^^^vvvvrrsssssssssssvvvvvvvvvvvvvvvvvvvvvvvvvrrrrrrrrrrrrrrrrrrrrrrrrrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^pppppppppppppp^^^^^^^^^^^~~~~~~~~~^^^^^^^^^^^vv^^^^^^^hhvvvvhhslllpppp|pppp~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssfffffffssssssssssrrrssss^^^^^v^ffffff^^^^^ssssddddd|dddddddddddddddddddddddddddddddddiiiii+--------+---------+iiidddddddddFFFF###FFFffffffssssssssssssrrrrddddiiyyyyyiiddRRRrsss|ssssssfffffRRRRfvvvfssssrrrrrrvvvvvvvvvvvvvf^^^^^vvf^^^^^^^^^vvvvrysssssssssvvvvvrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr~~~~~~~~~~~~~~~~~~~~~~~~~~f^^^^^^^^^^^^^^^^^^^^^vvvvvvvvv^^^^^^^^^~~~~~~~~~~~~~~~^^^^^^^^^v^^^^^^^^hvvvvvvhhsssssss|pppp~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssffffFfffsssssssrrrss^^^^^^?v^^ffffff^^^^ssssssdddd|dddddddddddddddddddddddddddddddiiiiii/iiiiii^^^^^^?iiiiiii\iiiidddddddFFFF^^^^^FffffffsssssssssssssrrrddddiiyyyyyiiddRRRrrss|ssssssfffffRccRfvvvfsssrrrrrrvvvvvvvvvvvvvvv^^^^^vvvf^^^^^^^^vvvvvrysssssssrrrrrrrrrrrrrrrrrrvvvvvvvvvvvvvvvvvvvvvvvvvrrrrrvvvvvvvvvvv~~~~~~~~~~~~~~~~~~~~~~~~~~f^^^^^^^^^^^^^^^^^^^^^^###^^^^^^^^^^~~~~~~~~~~~~~~~~^^^^^^^^^v^^^^^^^^hvvvvvvhhsssssss|ppp~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssfffFFffffssssrrrss^^^^^^^^^^^^fffff^^^^^sssssssdd|ddddddddddddddddddddddddddddddiiiiii/iiii^^^^^^^^^^^^^^^^ii\iiiiidddddFFFF^ccc^FffffffsssssssssssssrrrddddiiyyyyyiidddRRrrss|sssssssffffR#cRfvvvsssrrrrrrvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^vvvvrssssssrrrrrrrrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^#######^^^^^~~~~~~~~~~~~~~~~~^^^^^^^^^v^^^^^^^^hvvfvvvhhsssssss|sss~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssffffffssssrrrss^^^^^^^^^^^^ffffff^^^^ssssssssss|ssddddddddddddddddddddddddddddiiiii/iiiii^^^^^^^^^^^^^^^^iii\ iiidddddFFFF^^=^^FffffffsssssssssssssrrrddddiiyyyyyiiidddRrrss|sssssssffffR=RRfvvvsssrrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^vvvvrrsssrrrrrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv~~~~~~~~~~~~~~~~~~~~~~~~~~?^^^^^^^^^^^^^^^^####^^^^^^^~~~~~~~~~~~~~~~~~~^^^^^^^^v^^^^^^^hhvfffvvhhsssssss|ssss~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssssrrrss^^^^^^^^^vv?vvffff^^^^^^sssssssss|ssddddddddddddddddddddddddddd+----+iiiiii^^^^^^^^^^^^^^^^?iii+--------------+##FfffffssssssssssssssrrrddddiiyyyyyyiidddRRrrs|ssssssssffffffffvvvssrrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^vvvvvrrrrrrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^^^^^^^^r^vvvvvvvvvvvvvvvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~^^^^^^^^^v^^^^^^^hhvvffvvvhhssssss|sssss~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssrrrss^^^^^^^^vvvvvvfffffff^^^^^ssssssss|sssddddddddddddddddddddddddd/diiiii\iiiiii^^^^^^^^^^^^^^^iii/iiiidddddFFFFFF###FfffffssssssssssssssrrrddddiiyyyyyyiiiddRRRrs+ssssssssffffffffvvvssrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^vvvvv?rrrrrrrvvvrvvvvvvvvvvvvvvvvvvvf^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvvvvvvvv~~~~~~~~~~~~~~~~~~~~~~~~~~v^^^^^^^^^^^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~^^^^^ddddddd^^^^^hhvvvvvvvhsssssss|ssss~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssssrrss^^^^^^^^vvvvvvvvffffff^^^^sssssssss|ssssfffdddddddddddddddddddd/dddiiiii\iiiii^^^^^^^^^^^^^^^ii/iiiiddddddFFFFFF##FFfffffsssssssssssssssrrddddiiyyy?yyyiiddRRRrss\sssssssffffffffvvvsrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^vvvvvvvrrrvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvvvvvrvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffff^^^^^dddd#dddd^^^^hvvvvvvvhhsssssss|ss~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssrrrss^^^^^^^vvvvvvvvfffffff^^^^^ssssssss|sssfffffdddddddddddddddddd/ddddddiiii\iiiii^^^^^^^^^^^^^ii/iiidddddddddFFFFFFFFffffffsssssssssssssssrrddddiiyyyyyyyiiddRRRrsss\sssssssffffffffsrrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^vvvvvvvvvvvvrvvvvvvvvvvvv?vvvvvvvvvv^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvvvvvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffff^^^^^ddd#?#ddd^^^^hhvvvvvhhssssssss|sd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~vvb~~~~~~~~~~~~~~sssssssssrrrrs^^^^^^^^vvvvvvvvvvffffff^^^^^^sssssss|sssffffffdddddddddddddddd/dddddddddiii+------------------+iidddddddddddFFFFFFFFffffffsssssssssssssssrrddddiiyyyyyyyiiddRRRrrsss\sssssssfffffffsrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^vvvvvvvvvvvvvvvvvvvvv^^^^^^^^^^^^^^^^^^^^^vvvvvfff^^^^^ffffffffffFF^^^^^^^^^^^^^^^fvvvvvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffff^^^^^ddddddddd^^^^hhhhhhhhddsssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~vvvvybb~~~~~~~~~~~~ssss~~~~~~~sss^^^^^^^vvvvvvvvvvfffffff^^^^^ssssssss|sssffffffddddddddddddddd/ddddddddddddddiiiiiiiiiiiiiiiiidddddddddddddddFFFFFFFFffffffsssssssssssssssrrddddiiyyyyyyyiiddRRRrrssss\sssssssssffsssrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^vvvvvvvvvvvvvvvvvvf^^^^^^^^^^^^^^^^^^^^^^vvvvvvvffffffffffffffffFFFFF^^^^^^^^^^^^^fvvvfvvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffff^^^^^^ddddddd^^^^^^hhhhhhdddsssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~vvvvvyvvv~~~~~~~~~~~~~~~~~~~~ssss^^^^^^vvvvvvvvvvvvvvvvf^^^^^^^sssssss|sssffffffdddddddddfffff/ffdddddddddddddddddddddddddddddddddddddddddddddFFFFFFFFffffffsssssssssssssssrrrdddiiiyyyyyyiiddRRRrrrssss\ssssssssssssrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^vvvvvvvvvvvvvvvvv^^^^^^^^^^^^^^^^^^^^^^^vvvvvvvffffffffffffffffFFFFFFFFFFFFFFFFFfffvvvf~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvvffffffffffffffffffffffffdd^^^^^^^^^^^^^^^^^^^dhddhdddddssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvv~~~~~~~~~~~~~~~~~~ssssss^^^^^^^vvvvvvvvvvvvvvvvv^^^^^^ssssssss|sssffffffffffsffffffff/ffffddddddddddddddddddddddddddddddddddddddddddddFFFFFFFFffffffsssssssssssssssrrrddddiiyyyyyyiiddRRRrrrsssss\ssssssssssrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^vvvvvvvvvvvvvvf^^^^^^^^^^^^^^^ffffff^^^^vvvvvvvvffffffffffffffFFFFFFFFFFFFFFFFFFFffvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvvvffffffffffffffffffffffffdddd^^^^^^^^^^^^^^^^^^dddddddddsssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~vvvvv~~v~~~~~~~~~j~~~~~~~ssssss^^^^^vvvvvvvvvvvvvvvvvvf^^^^^^^sssssss|sssffffffffffffffffff/fffff^^^^^ddddddddddddddddd?dddddddddddddddddddddFFFFFFFFfffffssssssssssssssssrrrrdddiiyyyiiiiiddRRRrrrssssss\sssssssssrrvv?vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^vvvvvvvvvvvvvf^^^^^^^^^^^^^^ffffffff^^^vvvvvvvvffffffffffffffFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~rvvvvvrrrrrrrrrfffffffffffffffffffddddddd^^^^^^^^?^^^^^^^^^dddddddddsssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~vz~~~~~~~~~~~~jjjj~~~~~~sssssss^^^^^vvvvvvvvvvvvvvvvvvvf^^^^^ssssssss|sssfffffffffffffffff/fffff?^^^^^^^d^ddddddddddddddddddddddddddddddddddfFFFFFFFFfffffssssssssssssssssrrrrrdddssyyiiiiiddRRRrrrrssssss\ssssssrrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^vvvvvvvvvvvf^^^^^^^^^^^ffffffffffff^^^vvvvvfffffffffffffffffFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvvvvvvrvvvvvrrrrrrrrfffffffffffffffffddddddddd^^^^^^^^^^^^^^^^^^dddddddddssssddd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~v~~~~~~~~~~~~%V^j~~~~~sssssss^^^^^vvvvvvvvvvvvvvvvvvvv^^^^^^sssssss|sssffffffffffffffff/fffffff^^^^^^^^^^dddddddddddddddddddddddddddddddfffFFFFFFFFfffffssssssssssssssssrrrrrrddiiiiiiiidddRRRRrrrrssssss\ssssrrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^vvvvvvvvvvf^^^^^^^^^^ffffffffffffff^^^vvvvvvfffffffffffffffFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvvvvvvvrrrrrrrrrrrrrrffffffffffffffddddddddddd^^^^^^^^^^^^^^^^^^dddddddddssssddd|dd~~~~~~~~~~~~~
~~~~~~~~~~ddd~~~~~~~~~~~~~~~~~~~~~~~~~jjjb~~~~~ssssssss^^^^vvvvvvvvvvvvvvvvvvvvf^^^^^ssssssss|sssfffffffffffffff/fffffff^^^^^^^^^^^^^^^ddddddddddddddddddddddddfffffffFFFFFFffffffssssssssssssssssrrrrrrdddiiiiiiidddRRRrrrrrsssssss\ssrrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^vvvvvvvvf^^^^^^^^^ffffffffffffffff^^^r^^^^^^^fffffffffffffFF?FFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvvvvrrrrrrrrrrrrrffffffffffffiidddiiiiiddd^^^^^^^^^^^^^^^^^^dddddddddssssddd|dd~~~~~~~~~~~~~
~~~~~~~~~zd?d~~~~~~~~~~~~~~~~~~~~~~~~~~j~~~~~~~sssssss^^^^^v?vvvvvvvvvvvvvvvvvvv^^^^^^sssssss|ssssfffffffffffff/fffffffff^^^^^^^^^^^^^^^^^^dddddddddddd^^^^^^^^fffffffFFFFFFffffffssssssssssssssssrrrrrrdddddiiddddddRRRrrrrrrsssssss\srrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^vvvvvvvf^^^^^^^^ffffffffffffffffff^^^^^^^^^^^^fffffffffffFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvvrrrrrrrrrrrrffffffffffiiiidddiiiiiddd^^^^^^^^^^^^^^^^^^^ddddddddssssddd|dd~~~~~~~~~~~~~
~~~~~~~~~zdd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssss^^^^^vvvvvvvvvvvvvvvvvvvvf^^^^^ssssssss|ssssffffffffffff/fffffffffffff^^^^^^^fCf^^^^^^^^^^^^^^^^^^^^^^^^^^ffffffFFFFFFfffffssssssssssssssssssrrrrrddddddddddddRRRRrrrrrrrsssssss+rrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv?^^^^^^^^vvvvvvvv^^^^^^^fffffffffffffffffff^^^^^^^^^^^^fffffffffffFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvrrrrrrrrrrrrrffffffffffiiiidddiiiiiidd^^^^^^^^^^^^^^^^^^^dddddddsssssddd|dd~~~~~~~~~~~~~
~~~~~~~~~~zdd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssss^^^^^vvvvvvvvvvvvvvvvvvvvv^^^^^^ssssssC+---------------+ffffffffffffff^^^^^^^fif^^^^^^^^^^^^^^^^^^^^^^^^^^ffffffFFFF?FfffffssssssssssssssssssrrrrrrdddddddddddRRRrrrrrrrrrrrrsss=rrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^vvvvvvv^^^^^^^ffffffffffffffffffff^^^^^^^^^^^ffffffffffffFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvrrrrrrrrrrrrrffffffffffiiiiidddiiiiiiddd^^^^^^^^^^^^^^^^^^^ddddddyssssddd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssss^^^^^vvvvvvvvvvvvvvvvvvvvf^^^^^ssssssss|ssssffffffffffff\ffffffffffffffff^^^^fif^^^^^^^^^^^^^^^^^^^^^^^^^^fffffffFFFFffffffssssssssssssssssrrrrrrrrRdddddddddRRRRrrrrrrrrrrrrrrr=rrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^vvvvvvf^^^^^^ffffffffffffffffffffff^^^^^^^^^ffffffffffFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvrrrrrrrrrrrrrfffffffffiiiiiidddiiiiiiddd^^^^^^^^^^^^^^^^^^^ddddddssssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssss^^^^vvvvvvvvvvvvvvvvvvvvvv^^^^^^sssssss|ssssfffffffffffff\ffffffffffffffff^^^^i^^^^^^^^^^^^^^^^^^^^^^^^^^^ffffffffFFffffffssssssssssssssssrrsrrrrrrRRdddddddRRRRrrrsssssrrrrrrrr=rrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^vvvvvf^^^^^^^fffffffffffffffffffffffffffffffffffffffFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~rrrrrrrrrrrrfffffffffiiiiiidddiiiiiiddd^^^^^^^^^xx^^^^^^^^ddddddysssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~^vb~~~~~~~~~~~~~~ssssssssssss^^^^vvvvvvvvvvvvvvvvvvvvv^^^^^^ssssssss|ssssfffffffffffFFF\FFFFFFffffffffffffffffff^ffwffffffffff^^^^^^^^^ffffffffffffffffsssssssssssssssrrsssrrrrrrRRdddddRRRRRrrsssssssrrrrrrR=Rrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^vvvvvv^^^^^^fffffffffffffffffffffffffffffffffffffffFFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~rrrrrrrrrrrfffffffffiiiiiidddiiiiiiddd^^^^^^^^xllx^^^^^^^ddddddssssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~?v~~~~~~~~~~~~~~sssssssssssss^^^^vvvvvvvvvvvvvvvvvvvv^^^^^^^^sssssss|ssssssfffffffffFFFF\FFFFFF?Fffffffffffffffffffrfffffffffff^^^^^^^^ffffffffffffffffssssssssssssssrrssssrrrrrrrRRRRRRRRRrrrrssssssssrrrrrr=rrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^vvvvvf^^^^^^ffffffffffffffffffffffffffffffffffffffFFFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~rrrrrrrrrfffffffffiiiiiiiddddiiiiiddd^^^^^^^^^xxx^^^^^^^dddddddsssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~b~~~~~~~~~~~~~~~sssssssssssss^^^^vvvvvvvvvvvvvvvvvvvf^^^^^^^ssssssss|sssssffffffffffFFfff\ffffFFFffffffffffffffffffrfffffffffffffff^^^^^ffffffffffffffssssssssssssssrrsssssrrrrrrrrRRRRRRRrrrrrsssssssssrrrrr=rsrvvvvvvvvvvvvvvvvvvvvvvvvvrvvvvvvvvvvvvvvvf^^^^^^^vvvvvv^^^^^^?ffffffffffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~rrrrrrrrffffffffdiiiiiidddddiiiiidddd^^^^^^^^^^^^^^^^^^^ddddddyssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssss^^^^vvvvvvvvvvvvvvvvvvvv^^^^^^^^sssssss|ssssfffffffffffffffff\ffffFFfffffffffffffffffrffffffffffffffff^^^^^ffffffffffffffsssssssssssssrrssssssssssrrrrrRRRRRRrrrrrssssssssssssss|ssrrvvvvvvvvvvvvvvvvvvvvvvvrvvvvvvvvvvvvvvvvv^^^^^^^^vvf^^^^^^^^^ffffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvrrrrfffffffffddiiiiiidddddiiiiidddd^^^^^^^^^^^^^^^^^^^ddddddsssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssss^^^^vvvvvvvvvvvvvvvvvvvf^^^^^^^ssssssss|ssssfffffffffffFFFffff+fffFFfffffffffffffffffrffffffffffffffff^^^^^fffffffffffffssssssssssrrrrrssssssssssssrrrrrRRRRRrrrrrssssssssssssss|ssrrrvvvvvvvvvvvvvvvvvvvvvrvvvf###vvvvvvvvvvf^^^^^^^^vvv^^^^^^^^^ffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffsffffffffffddiiiiiidddddiiiiidddd^^^^^^^^^^^^^^^^^^^ddddddyssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssss^^^^^vvvvvvvvvvvvvvvvvvf^^^^^^^sssssssss|ssssfffffffffffFFFffff|fffFFfffffffffffffffflllfffffffffffffff^^^^^^ffffffffffffsssssssrrrrsssssssssssssssssrrrrrRRRRRrrrrssssssssssssss|ssssrrvvvvvvvvvvvvvvvvvvvrvvvf#####vvvvvvvvvv^^^^^^^^vvf^^^^^^^^^fffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffdddiiiiiddddddiiiiidddd^^^^^^^^^^^^^^^^^^^^dddddsssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssss^^^^^vvvvvvvvvvvvvvvvvvv^^^^^^ssssssssss|ssssffffffffffffFFFfff|fffFFffffffffffffffffllllfffffffffffffff^^^^^^ffffffffffssrrrrrrrsssssssssssssssssssssrrrrRRRRRRrrrrrrsssssssssss|ssssrrrvvvvvvvvvvvvvrrrrrvvvf#######vvvvvvvvvv^^^^^^^^vv^^^^^^^^^fffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffdddiiiiiddddddiiiiidddd^^^^^^^^^^^^^^^^^^^^dddddyssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssss^^^^^vvvvvvvvvvvvvvvvvvf^^^^^^^sssssssss|ssssssffffffffffFFFfff|fffFFffffffffffffffffjjjjjffffffffffffff^^^^^^ffffffffffsrrssssssssssssssssssssssssssssrrrrRRRRRRrrrrrrssssssssss|ssssssrrvvvvvvvvvvvrvvvvvvvvv###?###vvvvvvvvvf^^^^^^^^vvvf^^^^^^^ffff------+----FFFFFFFFFFFFFFFFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffff%ffffffffddddiiiiiddddddiiiiidddd^^^^^^^^^^^^^^^^^^^^dddddsssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssss^^^^^vvvvvvvvvvvvvvvvvvvv^^^^^ssssssssss|ssssssffffffffffFFFFff|fffFFFFfffffffffffffjjjjjjjfffffffffffff^^^^^^^ffffffvvvrrsssssssssssssssssssssssssssssssrrrRRRRRRRrrrrssssssssss|ssssssrrrvvvvvvvvvrvvvvvvvvvvv#####vvvvvvvvvvv^^^^^^^^vvvvvv^^^^^ffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffdddddiiiiiddddddiiiiidddd^^^^^^^^^^^^^^^^^^^^dddddyssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssss^^^^vvvvvvvvvvvvvvvvvvvf^^^^^^^sssssssss|ssssssffffffffFFFFFfff|ffffFFFFFFFFFfffffffjjj?jjjffffffffffffff^^^^^^^^fffvvvrssssssssssssssssssssssssssssssssssrrrRRRRRRrrrrrsssssssss|ssssssssrvvvvvvvvrvvvvvvvvvvvvv####vvvvvvvvvvvv^^^^^^^vvvvvf^^^^^ffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffdddiiiiiiiddddddiiiiidddd^^^^^^^^^^^^^^^^^^^^dddddsssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssss^^^^vvvvvvvvvvvvvvvvvvvv^^^^^^ssssssssss|ssssssffffffffFFFF+---+ffffffFFFFFFFFFfffffjjjjjjjffffffffffffff^^^^^^^^^vvrrrsssssssssssssssssssssssssssssssssssssrrrRRRRRRrrrrssssssss|ssssssssrrrvvvvvrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^vvvvvv^^^^^%ffffffffffffFFFFFFFFFF~~~~FFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffddddiiiiiiiddddddiiiiidddd^^^^^^^^^^^^^^^^^^^^dddddyssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssss^^^^^vvvvvvvvvvvvvvvvvvvf^^^^^sssssssssss|ssssssffffffffFFff|fffffffffffffffffffffffffjjjjjffffffffffffffffff^^^^^^rr^sssssssfffffffffffffffffffssssssssssssssrrrRRRRRrrrrssssssss|ssssssssrrrrrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^vvvvvf^^^^^^ffffffffffffffFFFF~~~~~~~~FFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffdddddiiiiiiidddddiiiiiidddd^^^^^^^^^^^^^^^^^^^^dddddsssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssss^^^^^vvvvvvvvvvvvvvvvvvvv^^^^^^ssssssssss|sssfffffffffffFFff|ffffffffffffffffffffffffffjjjfffffffffffffffffffff^^^^?^^^^sssssfffffffffffffffffffffsssssssssssssrrrRRRRRRrrrsssssss|sssssssssrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^vvvvvv^^^^^^fffffffffffffffffFF~~~~~~FFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffdddddiiiiiiidddddiiiiiidddd^^^^^^^^^^^^^^^^^^^^dddddyssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssss^^^^^vvvvvvvvvvvvvvvvvvvf^^^^^^^sssssssss|sssfffffffffffFFff|ffffffffffffffffffffffffffffffffffffffffffffffffff^^^^^^^^^^^^ssfffffffffffffffffffffffssssssssssssrrRRRRRRrrrsssssss|ssss^^^^^^^rrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^vvvvv^^^^^^^ffffffffffffffffff~~~~~~FFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffdddddiiiiiiidddddiiiiiidddd^^^^^^^^^^^^^^^^^^^^dddddsssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssss^^^^^vvvvvvvvvvvvvvvvvvvv^^^^^^ssssssssss|sssfffffffffffFFff|fffffffffffffffffffffffffffffffffffffffffffffffffvvv^^^^^^^^^^^^^sffffffffffffffffffffffssssssssssssssrRRRRRrrrssssss|ssss^^^^^^^^^rrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^vvvv^^^^^^^^^ffffffffffffffffff~~~~~~FFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffddddddiiiiidddddddiiiiiidddd^^^^^^^^^^V^^^^^^^^^dddddyssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssss^^^^vvvvvvvvvvvvvvvvvvvvf^^^^^^^sssssssss|sssfffffffffffFFff|ffffffffffffffffffffffffffffffffffffffffffffffvvvrrrf^^^^^^^^^^^^^^ffffffffffffffffffffffsssssssssssssrrrRRRRrrssssss+ssss^^^^^^^^^^rrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^vvvf^^^^^^^^^ffffffffffffffff~~~~~~~FF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffffddddddiiiiiddddddiiiiiiidddd^^^^^^^^^^^^^^^^^^^^dddddsssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssss^^^^vvvvvvvvvvvvvvvvvvvvv^^^^^^ssssssssss|sssfffffffffffFFff+ffffffffffffffffffffffffffffffffffffffffffffvvvrrfffff^^^^^^^^^^^^^^ssfffffff+--------+fffssssssssssssrrrRRRRRrsssssss\sss^^^^^^^^^^^rrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvs^^^^^vvvv^^^^^^^^^ffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffddddddiiiiiddddddiiiiiiddddd^^^^^^^^^^^^^^^^^^^^dddddyssssdd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssss^^^^vvvvvvvvvvvvvvvvvvvvf^^^^^^^sssssssss|sssfffffffffFFFFfff\ffffffffffffffffffffffffffffffffffffffffffvvvrffffffffff^^^^^^^^^^^^fffffff/ffffffffff\fffsssssssssssssrrRRRRRrsssssss+sss^^^^^^^^^^rrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^vvvvvvf^^^^^^ffffffffffffffffffFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffdddddddiiiiiddddddiiiiiiddddd^^^^^^^^^^^^^^^^^^^^^dddddydyddd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssss^^^^vvvvvvvvvvvvvvvvvvvvv^^^^^^ssssssssss|sssfffffffffFFFFffff\fffffffffffffffffffffffffffffffffffffffvvvrrfffffffffffff^^^^^^^^^^ffffff+s^^^^fffffff\fffssssssssssssrrRRRRRrrssssss|sss^^^^^^^^^^^rrrvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^vvvvvvv^^^^^^ffffffffffffffffffFFFFFFFFFFFF~~~~~~~~~~~~~~~~fffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffdddddddiiiiidddddiiiiiiiddddd^^^^^^^^^^^^^^^^^^^^dddddddddddd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssss^^^^vvvvvvvvvvvvvvvvvvvvf^^^^^^^sssssssss|ssffffffffffFFfffffff\ffffffffffffffffffffffffffffffffffvvvrrrrffffffffffffffffff^^^^^^^^^ffff|f^^^^^^^^ffff\fffssssssssssssrrRRRRrrssssss|sssss^^^^^^^^^^rrrvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^vvvvvvvv^^^^^^fffffffffffffffffFFFFFFFFFFFFFFFF~~~~~~~~~~fffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffdddddddiiiiiiddddiiiiiiiddddd^^^^^^^^^^^^^^^^^^^^^ddddddddddd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssss^^^^^vvvvvvvvvvvvvvvvvvvvv^^^^^^ssssssssss|ssffffffffffFFffffffff+ffffffFFFFFFFFFFFFFFFFFFFfffffvvvrrrffffffffffffffffffffffffff^^^^^ffff|f^^^^^^^^^^fff\ffssssssssssssrrrRRRRrrsssss|ssssss^^^^^^^^^^vvrvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^^^vvvvvvf^^^^^^ffffffffffffffffFFFFFFFFFFFFFFFFFFfff~~~~~~ffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffdddddddiiiiiidddiiiiiiiddddd^^^^^^^^^^^^^^^^^^^^^dddddddddddd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssss^^^^^vvvvvvvvvv?vvvvvvvvvf^^^^^^^sssssssss|ssffffffFFFFFFffffffff|FFFFFFF%rrrrrrrrrrrrrrrrrrrrrrrrrfffffffffffffffffffffffffffff^^^^^^vvv|v^^^^^^^^^^ffff+fsssssssssssssrrRRRRrrsssss|sssssss^^^^^^^^^rrrrvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^^vvvvvvv?^^^^^^fffffffffffffffFFFFFFFFFFFFFFFFFffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffdddddddiiiiiidddiiiiiiiddddd^^^^^^^^^^^^^^^^^^^^^^ddddddddddd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssss^^^^^vvvvvvvvvv^vvvvvvvvvv^^^^^^ssssssssss|ssffffffFFFFFFffffffFF###FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffffffffffffffffffffff^^^^^^^vv+vvvv^^^^^^^ffff|fsssssssssssssrrRRRRrrrssss|ssssssss^^^^^^^^vvrrrvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^^^vvvvvv^^^^^^^^^ffffffffffffffFFFFFFFFFFFFFFFffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffddddddddiiiiiidddiiiiiiiddddd^^^^^^^^^^^^^^^^^^^^^^ddddddddddd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssss^^^^^vvvvvvvvvv^vvvvvvvvvf^^^^^^^sssssssss|sssfffffFFfffffffffFF#####FFFFFFFFFFFFFFFFFFFFFFFFFFFFFF?FFfffffffffffffffffffffffffff^^^^^^vvv\vvvv^^^^^^ffff|fffsssssssssssrrrRRRRrrrsss|sssssssss^^^^^^^vvvrvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^^vvvvvf^^^^^^^^^ffffffffffffffFFFFFFFFFFFFFFFffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffffffffddddddddiiiiiidddiiiiiidddddd^^^^^^^^^^^^^^^^^^^^^^ddddddddddd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssss^^^^vvvvvvvvvvv^vvvvvvvvvv^^^^^^ssssssssss|sssfffffFFffffffffFF#######FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffffffffffffffffff%^^^^^^vvvv\vvvvf^^^^^fff|fffsssssssssssrrrRRRRrrrsss|ssssssssss^^^^^^^vvvrvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^^^vvvvvv^^^^^^^^^ffffffffffffffFFFFFFFFFFFFFFffffFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffffffffffffdddddddddiiiiiddiiiiiiiddddd^^^^^^^^^^^^V^^^^^^^^^^ddddddddddd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sss^^^^^vvvvvvvvvvv^vvvvvvvvvf^^^^^^^sssssssss|sfffffffFFfffffffffF####?##FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffffffffffffffffffffff^^^^^^^vvv+?vvv^^^^^fff|fffsssssssssssrrrRRRRrrrrss|sssssssssss^^^^^^vvvvrvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^^vvvvvvvvv^^^^^^^fffffffffffffFfffFFFFFFFFFFfffFffffffff~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffffffffffffffdddddddddiiiiiddiiiiiidddddd^^^^^^^^^^^^^^^^^^^^^^^^dddddddddd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssss^^^^^vvvvvvvvvv^V^vvvvvvvvvf^^^^^ssssssssss|sfffffffFFffffffffff#######FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffffffffffffffffffff^^^^^^^vvvvvvvv^^^^fff|fffsssssssssssrrrrRRRrrrrss|sssssssssss^^^^^^vvvvvrvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^vvvvvvvvvv^^^^^^^ffffffffffffffffFFFFFFFFFFffff~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffffffffffffffffffffffdddddddddiiiiidiiiiiiidddddd^^^^^^^^^^^^^^^^^^^^^^^^dddddddddd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~s^^^^^vvvvvvvvvvv^vvvvvvvvvvv^^^^^^sssssssss|sfffffffFFffffffffffff#ff##FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffff^^^^^^^^^^^^^^^^^^fff|fffsssssssssssrrrrRRRRrrrss|sssssssssss^^^^^^vvvvrrrrrvvvvvvvvvvvvvvvvvvv^^^^^^^^^vvvvvvvvvf^^^^^^^^ffffffffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffffffffffffffffffffffffddddddddiiiiiidiiiiiiiddddd^^^^^^^^^^^^^^^^^^^^^^^^^^ddddddddd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssss^^^^^vvvvvvvvvvv^vvvvvvvvvvf^^^^^ssssssssss|sfffffffFFffffffffffff|ffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffff^^^^^^^^^^^^^^^^fff|ffffsssssssssrrrrrRRRRRrrss|sssssssssss^^^^^^vvvvvrrrrrvvvvvvvvvvvvvvvvvvv^^^^^^^^vvvvvvvvvv^^^^^^^^^fffffffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffffffffffffffffffffffddddddddiiiiiidiiiiiiiddddd^^^^^^^^^^^^^^^^^^^^^^^^^dddddddddd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssss^^^^vvvvvvvvvvvvvvvvvvvvvvvv^^^^^^sssssssss|sfffffffffffffffffffff|fffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffff^^^^^^^^^^^^^^^fff###fffssssssssrrrrrRRRRRrrss|sssssssssss^^^^^^vvvvrvvvrrrrrrrvvvvvvvvvvvvv^^^^^^^^^vvvvvvvvvf^^^^^^^^^^fffffffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffffffffffffffffffffddddddddiiiiiiiiiiiiidddddd^^^^^^^^^^^^^V^^^^^^^^^^^^ddddddddd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvf^^^^^ssssssssss|sfffffffFFFFffffffffff|ffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffffffffffffff#####ffssssssssrrrrrrRRRRrrss|sssssssssss^^^^^^vvvvvrvvvvvvvvvrvvvvvvvvvvvf^^^^^^^^^^vvvvvvvvv^^^^^^^^^^^^fffffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffffffffffffffffffffffddddddddiiiiiiiiiiiiidddddd^^^^^^^^^^^^^^^^^^^^^^^^^^ddddddddd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvv^^^^^^sssssssss|sfffffffFFFFFFffffffff|fffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffffffffff#######fssssssrrrrrrrrrRRRrrss|sssssssssss^^^^^^vvvvvvvvvvvvvvvrvvvvvvvvvvvv^^^^^^^^^^vvvvvvvv^^^^^^^^^^^^^^fffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffffffffffffffffffffffffddddddddiiiiiiiiiiiidddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddddd|dd~~~~~~~~~~~~~
~~~~~~~~~i~~~~~~~~~~~~~~~~~vvvv~~~~~~~~~~sssssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvf^^^^^ssssssssss|sfffffffffFFFFFFFFffff|fffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffFFFFFFFFFff########fssssrrrssrrrrrrRRRRrss|sssssssssss^^^^^vvvvvvrvvvvvvvvvr?vvvvvvvvvvf^^^^^^^^^^vvvvvvv^^^^^^^^^^^^^^^^ffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffffffffffffffffffffffffddddddddiiiiiiiiiiiidddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddddddd|dd~~~~~~~~~~~~~
~~~~~~~~%ii~~~~~~~~~~~~~~vvy?vvv~~~~~~~~ssssssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvv^^^^^^sssssssss|sfffffffffffffFFFFFfff+fffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF########fsssrrssssrrrrrrRRRRrrs|ssssssssssss^^^^vvvvvvvrvvvvvvvvvrvvvvvvvvvvv^^^^^^^^^^^vvvvvf^^^^^^^^^^^^^^^^^ffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffffffffffffffffffffddddddddiiiiiiiiiiiiddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddddd|dd~~~~~~~~~~~~~
~~~~~~dii~~~~~~~~~~~~~~~~vvyyyv~~~~~~~~~~sssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvvf^^^^^ssssssssss|sfffffffffffffffFFFFfff\fffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF########fssrrssssssssrrrRRRRrrs|ssssssssssss^^^^vvvvvvvvrvvvvvvvvvrvvvvvvvvvvv^^^^^^^^^^vvvvf^^^^^^^^^^^^^^^^^^fffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffffffffffffffffddddddddiiiiiiiiiiidddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddddd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~vvyyvv~~~~~~~~ssssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^sssssssss|sffffffffffffffffFFFffff\fffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF#######ffssrsssssssssrrrrRRRrrs|sssssssssss^^^^^vvvvvvvvvvvvvvvvvvvrvvvvvvvvvf^^^^^^^^^^?vv^^^^^^^^^^^^^^^^^^^^ffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffffffffffffffddddddddiiiiiiiiiidddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddddd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvyvv~~~~~~~~ssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^ssssssssss|sffffffffffffffffFFFFFfff\fffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF#####ffvvvrsssssssssssrrRRRrrs|sssssssssss^^^^^vvvvvvvvrvvvvvvvvvvvrvvvvvvvvvf^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffddddddddiiiiiiiiiidddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddddd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vv~~~~~~~~sssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^sssssssss|sffffffffffffffffffFFFFfff\ffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF|ffffvvvssssssssssssrRRRRrrs|ssssssssss^^^^^^vvvvvvvvvvvvvvvvvvvvvrvvvvvvvvv?^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^f~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffdddddddddddddddddddddddd^^^^^^^^^^^^^^V^^^^^^^^^^^^^^^dddddddd|dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^ssssssssss|sfffffffffffffffffffFFFFFFF\FffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFf+fffvvvrsssssssssssssRRRRrrs|ssssssssss^^^^^^vvvvvvvvrvvvvvvvvvvvvvrvvvvvvvvv^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffffffdddddddddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddddddd+dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^sssssssss|ssfffffffffffffffffffFFFFFFF\FFffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfFFFFFFFFFFfff/fffvvvrssssssssssssssRRRRrrs|ssssssssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvrvvvvvvvvv^^^^^^^^^^^^^^^^^^^^f~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffffffffddddddddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddddd/ddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvvvRRRRrrrrsssss^^^^^vvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^ssssssssss|ssfffffffffffffffffffffffffFF\FffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffffff/ffvvvrrfssssssssssssssrRRRrrs|ssssssssss^^^^^^vvvvvvvvrvvvvvvvvvvvvvvvrvvvvvvvvv^^^^^^^^^^^^^^fffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ff~~~~~~ffffffffffffffffffffffffdddddddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddddd/dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvvfRRRRrrrrsssss^^^^^vvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^sssssssssss|sssssffffffffffffffffffffffffF\ffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffffff/fvvvrrfffssssssssssssssrRRRrrs|ssssssssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvrvvvvvvvf^^^^^^^^^^^^^ffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffddddddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddd/ddd~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~^^^^^vvvvvvvvvrRRRrrrrssss^^^^^vvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^ssssssssssss|ssssssssssssfffffffffffffffffff\ffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffffffff/ffvvvfffffssssssssssssssrRRRrrs|ssssssssss^^^^^^vvvvvvvvrrrvvvvvvvvvvvvvvvrvvvvvvv^^^^^^^^^sffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffddddddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddd/dd~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^^^^^vvvvvvvvvRRRrrrrsss^^^^^^vvvvvvvvvvvvvvvvvvvvvv^^^^^^^^^^sssssssssss|sssssssssssssfffffffffffffffffff\ffffF?FFFFzzzFFFFFFFFFFFFFFFFFFFFFFFFFFFFF%FFFFFFFFFFFFFffffffffffffffff/fffffffffffssssssssssssssrRRRrrs|ssssssssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvrvvvvvvv^^^^^^^^fffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffdddddddddddddddddddd^^^^^^^^^^^^^^V^^^^^^^^^^^^^^^^^ddddd+dd~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvvrRRRrrrrsss^^^^^^vvvvvvvvvvvvvvvvvvvvv^^^^^^^^^^ssssssssssss|sssssssssssssssffffffffffffffffff\ffffFFzzzllzFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffffffffff/ffffffffffffsssssssssssssrrRRRrrs|ssssssssss^^^^^^vvvvvvvvvvrvvvvvvvvvvvvvvvvvrvvvvvf^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^v^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffdddddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddd|dd~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvvvRRRrrrrsss^^^^^^vvvvvvvvvvvvvvvvvvvv^^^^^^^^^^sssssssssssss|sssssssssssssssssfffffffffffffffff\ffffzlllllzFFFFFFFfffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffffffff/fffffffffffffsssssssssssssrrRRRrrs|ssssssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvrvvvvv^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^v^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffddddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddd|d~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvvrRRRrrrrsss^^^^^vvvvvvvvvvvvvvvvvvvvf^^^^^^^^^ssssssssssssss|ssssssssssssssssssfffffffffffffffff+---+lllll+-------+fffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffff/ffffffffffffffssssssssssssrrrRRRrrs|ssssssssss^^^^^^vvvvvvvvvvrvvvvvvvvvvvvvvvvvvvrvvvf^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%~~~~~~~~~~~~~~~~^^^^v^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffddddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddd|d~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvvvRRRrrrrsss^^^^vvvvvvvvvvvvvvvvvvvvf^^^^^^^^^sssssssssssssss|ssssssssssssssssssssffffffffffffffffffff\llz/yffffffff\ffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffff+fffffffffffffffsssssssssssssrRRRRrrs|sssssssssss^^^^^^vvvvvvvvvvrvvvvvvvvvvvvvvvvvvvrvvv^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^v^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffdddddddd?ddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddd+~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvvrRRRRrrrsss^^^^vvvvvvvvvvvvvvvvvvvvv^^^^^^^^ssssssssssssssss|sssssssssssssssssssssssffffffffffffffffff+-+fffffffffff\ffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffff|fffffffffffffffssssssssssssrrRRRRrrs|sssssssssss^^^^^^vvvvvvvvvvvrvvvvvvvvvvvvvvvvvvvrvvv^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^v^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fff~~fffffffffffffffffddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddd/~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvrrRRRRrrrsss^^^^vvvvvvvvvvvvvvvvvvvvf^^^^^^^sssssssssssssssss|sssssssssssssssssssssssssfffffffffffffffffffffffffffffff\fffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffff|FFfffffffffffffssssssssssssrrRRRRrrs|sssssssssss^^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvrvf^^^^^s~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^v^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffff~~ffffffffffffffffddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd/~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvvrRRRRrrrsss^^^^vvvvvvvvvvvvvvvvvvvvv^^^^^^ssssssssssssssssss|sssssssssssssssssssssssssssffffffffffffffffffffffffffffff\fffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffff|FFffffffffffffsssssssssssssrrRRRrrrs|ssssssssssss^^^^^^^^^vvvvvvvrvvvvvvvvvvvvvvvvvvvvvrv^^^^^s~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^v^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~ffffff~~~~fffffffffffffffffddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd+~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvrRRRRRrrrsss^^^^vvvvvvvvvvvvvvvvvvvv^^^^^^^^sssssssssssssssss|sssssssssssssssssssssssssssssfffffffffffffffffffffffffffff\fffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffff|FfffffffffffsssssssssssssssrrRRRrrrs|sssssssssssss^^^^^^^^^vvvvvvvrvvvvvvvvvvvvvvvvvvvvvrrrrrrrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^ffff^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd|d~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvvRRRRRrrrsss^^^^vvvvvvvvvvvvvvvvvvvf^^^^^^^ssssssssssssssssss|sssssssssssssssssssssssssssssssssffffffffffffffffffffffffff\ffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffff|FfffffffffsssssssssssssssssrrRRRrrss|sssssssssssss^^^^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^ffff^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffdddddddddddddddd^^^^^^^^^^^^^^^^V^^^^^^^^^^^^^^^^dddd|dddd~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^vvvvvvvRRRRRRrrrsss^^^^vvvvvvvvvvvvvvvvvvvv^^^^^^sssssssssssssssssss|ssssssssssssssssssssssssssssssssssffffffffffffffffFFFFFfffff\ffffFFFFFFFFFFFFFFFFFFFFFFFfffffffffffFF|FffffffffssssssssssssssssssrRRRRrrss|ssssssssssssss^^^^^^^^vvvvvvvrvvvvvvvvvvvvvvvvvvvvvf^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^fff^^^^~~~~~~~~~~~~~~~~~~fffff~~~~~~~~FFFfffffffffffffffffffffddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddd|dddddd~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^vvvvvvfRRRRRRrrrsss^^^^vvvvvvvvvvvvvvvvvvvf^^^^^^^ssssssssssssssssss|ssssssssssssssssssssssssssssssssssssffffffffffffffFFFFFffffff\ffFFFFFFFFFFFFFFFFFFFFFFfffffffffffffFF|FffffffssssssssssssssssssssrRRRRrrss|sssssssssssssssss^^^^^vvvvvvvvrvvvvvvvvvvvvvvvvvvvvv^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~fffffff~~~~FFFFFffffffffffffffffffffffdddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddd+dddddddd~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvRRRRRRrrrsss^^^^vvvvvvvvvvvvvvvvvvvv^^^^^^sssssssssssssssssss|sssssssssssssssssssssssssssssssssssssfffffffffffffFFffffffffff\fFFFFFFFFFFFFFFFFFFFFF+---------------+ffffffsssssssssssssssssssssrRRRRrrss|ssssssssssssssssss^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^~~~~~~~~~~~~~~~~fffffffff~~FFFFFFFffffffffffffffffffffffffdddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd/ddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvfRRRRRrrrssss^^^^vvvvvvvvvvvvvvvvvvv^^^^^^ssssssssssssssssssss|sssssssssssssssssssssssssssssssssssssssfffffffffffFFfffffffffff\FFFFFFFFFFFFFFFFFFFF/FFffffffffffFFFFffffllssssssssssssssssssssssrRRRrrrss|ssssssssssssssssss^^^^vvvvvvvvrvvvvvvvvvvvvvvvvvvvf^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^~~~~~~~~~~~~~F#FffffffffffffFFFFFfffffffffffffffffffffffffdddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd/dddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvRRRRRrrrssss^^^^vvvvvvvvvvvvvvvvvvf^^^^^^^sssssssssssssssssss|sssssssssssssssssssssssssssssssssssssssffff?ffffffFFfffffffffffF\FFFFFFFFFFFFFFFFFF/FFFfffffffffFFFffffffllssssssssssssssssssssssRRRRrrrss|ssssssssssssssssss^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^?^^^~~~~~~~~~~~~~~F##ffffffffffFFFFFFFfffffffffffffffffffffffffffddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddd+ddddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvfRRRRrrrrssss^^^^vvvvvvvvvvvvvvvvvvv^^^^^^ssssssssssssssssssss|ssssssssssssssssssssssssssssssssssssssssffffffffffFFFffffffffffFF+FFFFFFFFFFFFFFFF/FFFFFffffffffFFFfffffssssssssssssssssssssssssRRRRRrrrss|sssssssssssssssss^^^^^vvvvvvvvrvvvvvvvvvvvvvvvvvvv^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~###ffffffffFFFFFFFffffffffffffffffffffffffffffdddddddd^^^^^^^^^^^^^^^V^^^^^^^^^^^^^^^^dddd|ddddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvRRRRrrrrssss^^^^vvvvvvvvvvvvvvvvvv^^^^^^^^sssssssssssssssssss|ssssssssssssssssssssssssssssssssssssssssffffffffffFFFFfffffffffFF|FFFFFFFFFFFFFFF/FFFFFFffffffffFFffffssssssssssssssssssssssssssRRRRRrrrss|sssssssssssssssss^^^^^vvvvvvvvvrvvvvvvvvvvvvvvvvvf^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~###fffffffFFFFFFFFffffffffffffffffffffffffffffdddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd|ddddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvfRRRRrrrsssss^^^^vvvvvvvvvvvvvvvvvf^^^^^^^ssssssssssssssssssss|ssssssssssssssssssssssssssssssssssssssssssfffffffffFFFfffffffffFF|FFFFFFFFFFFFFF/FFFFFFFffffffffFFffffssssssssssssssssssssssssssRRRRrrrsss|sssssssssssssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~F#######ffFFFFFFFFFffffffffffffffffffffffffffffffddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd|ddddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvRRRRrrrsssss^^^^vvvvvvvvvvvvvvvvvv^^^^^^sssssssssssssssssssss|ssssssssssssssssssssssssssssssssssssssssssffffffffffFFFffffffffFF|FFFFFFFFFFFFF/FFFFFFFFffffffffFFffffsssssssssssssssssssssssssrRRRrrrrsss|sssssssssssssssss^^^^^vvvvvvvvvrvvvvvvvvvvvvvvvvv^^^^^^^^ssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~#####FfffFFFFFFFfffffffffffffffffffffffffffffffs^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd+ddddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvRRRRRrrrsssss^^^^vvvvvvvvvvvvvvvvvf^^^^^^^ssssssssssssssssssss|ssssssssssssssssssssssssssssssssssssssssssssffffffffFFFFfffffffFF|FFFFFFFFFFFF/FFFFFFFFFffffffffFFffffssssssssssssssssssssssssrrRRRrrr----+ssssssssssssssss^^^^^^vvvvvvvvvvrvvvvvvvvvvvvvvvf^^^^^^^^sssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffFFFFFFFffffffffffffffffffffffffffffffffs^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd/dddddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^vvvvvfRRRRrrrrsssss^^^^vvvvvvvvvvvvvvvvvv^^^^^^sssssssssssssssssssss|ssssssssssssssssssssssssssssssssssssssssssssfffffffffFFFFFffffffF|FFFFFFFFFFF/FFFFFFFFFFffffffffFFfffsssssssssssssssssssssssssrrRRRrrrsss/sssssssssssssssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^?sssssffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffFFFFFFFfffffffffffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd/ddddddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvRRRRrrrrsssss^^^^vvvvvvvvvvvvvvvvv^^^^^^ssssssssssssssssssssss|sssssssssssssssssssssssssssssssssssssssssssssffffffffffFFFffffffF|FFFF####F#yyyFFFFFFFFFffffffffFFfffsssssssssssssssssssssssssrrRRRrrsss/ssssssssssssssssss^^^^^^vvvvvvvvvvrvvvvvvvvvvvvvvv^^^^^^^^ssssssfff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffFFFFFfffffffffffffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd+dddddddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvRRRRRrrrrsssss^^^^vvvvvvvvvvvvvvvvf^^^^^^^sssssssssssssssssssss|ssssssssssssssssssssssssssssssssssssssssssssssffffffffffFFFffffff+----#######yyFFFFFFFFfffffffffF?FfssssssssssssssssssssssssssrrRRRrrss/sssssssssssssssssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^ssssssf~~~~~~~ff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~FffffffffffffffffffFFFFfffffffffffffffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd|dddddddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvfRRRRRrrsssssss^^^^vvvvvvvvvvvvvvvvv^^^^^^ssssssssssssssssssssss|sssssssssssssssssssssssssssssssssssssssssssssssfffffffffFFFfffffffFFFF#######FFFFFFFFFFfffffffffFFFFFsssssssssssssssssssssssssrrRRRrrs+ssssssssssssssssssss^^^^^^vvvvvvvvvvrvvvvvvvvvvvvvvv^^^^^^^sss#sssff~~~~ffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffFFFFFFffffffffffffffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd|dddddddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvRRRRRrrsssssss^^^^vvvvvvvvvvvvvvvvf^^^^^^^sssssssssssssssssssss|ssssssssssssssssssssssssssssssssssssssssssssssssfffffffffffffffffffFFFF#####FFFFFFFFFFfffffffffffffsssssssssssssssssssssssssssrrRRRrss|sssssssssssssssssss^^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^ss####sfffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffFFFFFffffffffffffffffFFFFFFfffffffffFFfffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddd|dddddddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvrRRRRRrrsssssss^^^^vvvvvvvvvvvvvvvvv^^^^^^ssssssssssssssssssssss|ssssssssdddddddddddddddddssssssssssssssssssssssssssffffffffffffffffffFFFFFFfFFFFFFFFFFffffffffffffssssssssssssssssssssssssssssrrRRRrss|sssssssssssssssssss^^^^^^^vvvvvvvvvvrvvvvvvvvvvvvvf^^^^^^^^s####ssfffffffff~~~~~~~~~~~~ffff~~~~~~~~~~~~~~~~~~fffffff~~~~~~~~FffffffffffffffffFFFFFFfffffffffFFFFFFFffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddd+dddddddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^vvvvvRRRRRrrsssssss^^^^vvvvvvvvvvvvvvvvf^^^^^sssssssssssssssssssssss|ssssssddddddddddddddddddddddssssssssssssssssssssssssfffffffffffffffffffffffffFFFFFFFFffffffffffffsssssssssssssssssssssssssssssrrRRRrss|ssssssssssssssssss^^^^^^^^vvvvvvvvvvvvvvvvv?vvvvvvv^^^^^^^^s#|#sssffffff~~~~~~~~~~~~~~~ffffffffff~~~~~~~~~ffffffff~~~~~~~~FFFFfffffffffffffffFFFFFFffffffffFFFFFFFFFFffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd/ddddddddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvrRRRRRrssssssss^^^^vvvvvvvvvvvvvvvvv^^^^^^ssssssssssssssssssssss|sssssddddddddddddddddddddddddssssssssssssssssssssssssffffffffffffffffffffffffffFFFFfffffffffffffssssssssssssssssssssssssssssssrrRRRrss|sssss^^^^^ssssssss^^^^^^^^vvvvvvvvvvrvvvvvvvvvvvvvf^^^^^^^sss|ssssffffff~~~~~~~~~~fffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~FFffffffffffffffFFFFFFfffffffFFFFFFFFFFFffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd/dddddddddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvrrRRRRRrssssssss^^^^vvvvvvvvvvvvvvvvf^^^^^sssssssssssssssssssssss|ssssdddddddddddddddddddddddddddd!ssssssssssssssssssssssfffffffffffffffffffffffffffffffffffffffssssssssssssssssssssssssssssssssrrRRRrss|sssss^^^^^^sssssss^^^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^ss|ssssffffffff~~~~~~~~ffffffffffffffffffffffffff~~~~~~~~~~~~~~FFFFFFfffffffffffffFFFFFFfffffffFFFFFFFFFFffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^d+ddddd^^^^dddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvrrRRRRrssssssss^^^^vvvvvvvvvvvvvvvvv^^^^^^ssssssssssssssssssssss|sssddddddddddddddddddddddddddddddsssssssssssssssssssssssffffffffff?ffffffffffffffffffffffffffsssssssssssssssssssssssssssssssssrrRRRrss|sssss^^^^^^sssssss^^^^^^^vvvvvvvvvvvrvvvvvvvvvvvvvf^^^^^^^sss|ssssffffffff~~~~ffffffffffffffffffffffffffffffffff~~~~~~~~FFFFFFFFfffffffffffffFFFFFFfffffffFFFFFFFfffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^d|ddd^^^^^^^^^ddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvrrrRRRRrssssssss^^^^vvvvvvvvvvvvvvvvf^^^^^sssssssssssssssssssssss+sssdddddddddddddddddddddddddddddddssssssssssssssssssssssssfffffffffffffffffffffffffffffffffsssssssssssssssssssssssssssssssssssrrRRRrss|sssss^^^^^^sssssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^sss|ssssffffffffffffffffffffffffffffffffffffffffffffffffff~~FFFFFFFFFFfffffffffffffFFFFFFfffffffFFFFFFFfffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd|ddd^^^^^^^^^^dddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvrrRRRRrssssssss^^^^vvvvvvvvvvvvvvvvv^^^^^^sssssssssssssssssssss/|ssdddddddddddddddddddddddddddddddddsssssssssssssssssssssssssfffffffffffffffffffffffffffffsssssssssssssssssssssssssssssssssssssrrRRRrss|sssss^^^^^^ssssss^^^^^vvvvvvvvvvvvvvrvvvvvvvvvvvvv^^^^^^^ssss|ssssffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFFFFFfffffffffffffFFFFFFffffffffFFFFFFffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd|d^^^^^^^^^^^^^ddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~^^vvrrrRRRRrssssssss^^^^vvvvvvvvvvvvvvvvf^^^^^sssssssssss+---------+s|ssddddddddddddddddddddddddddddddddddsssssssssssssssssssssssssssfffffffffffffffffffffffssssssssssssssssssssssssssssssssssssssssrrRRRRrs|sssss^^^^^^ssssss^^^^^vvvvvvvvvvvvvvvrvvvvvvvvvvvf^^^^^^^ssss|ssssffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFFFFFfffffffffffffFFFFFFffffffffFFFFFFffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddd+d^^^^^^^^^^^^^ddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^^vvvrrRRRRrssssssss^^^^vvvvvvvvvvvvvvvvv^^^^^^sssssssss/?sssssssssss|sddddddd!d!dddddddddddddddddddddddddssssssssssssssssssssssssssssssssfffffffffffffsssssssssssssssssssssssssssssssssssssssssssssrrRRRRrs|sssss^^^^^^ssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^ssss|ssssffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFFFFFfffffffffffffFFFFFFffffffffFFFFFFffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^V^^^^^^^^^^^^^^dd/d^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~^^vvrrrrRRRRssssssss^^^^vvvvvvvvvvvvvvvvf^^^^^sssssssss/sssssssssssss|sddddddiiiiidddddddddddddddddddddddddsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrRRRRrs+sssss^^s^^^sssss^^^^^^vvvvvvvvvvvvvvvrvvvvvvvvvvv^^^^^^^^ssss|ssssfffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFFFffffffffffffffFFFFFFfffFFFFfFFFFFFfffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd/dd^^^^^^^^^^^^^^^rrrr~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^^^vvrrrRRRRrsssssss^^^^vvvvvvvvvvvvvvvvv^^^^^^sssssss+ssssssssssssss|dddddddiiiiidddddddddddddddddddddddddsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrRRRrss\sssssssssssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^ssss|ssssfffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFFFfffffffffffffffFFFFffffFFFFfffffFFfffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^+ddd^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^^^rrrrrRRRRrsssssss^^^^vvvvvvvvvvvvvvvvf^^^^^ssssssss|ssssssssssssss|dddddddiiiiidddddddddddddddddddddddddsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrRRRrsss\ssssssssssssss^^^^^vvvvvvvvvvvvvvvvrvvvvvvvvvvv^^^^^^^^ssss|ssssfffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFFFfffffffffffffffFFFFffffFFFFfffffFFffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^d|dd^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^^^^rrrrrRRRrsssssss^^^^vvvvvvvvvvvvvvvvv^^^^^^sssssss|ssssssssssssss|dddddddiiiiidddddddddddddddddddddddddssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrRRRRrsss+sssssssssssss^^^^^vvvvvvvvvvvvvvvvvrvvvvvvvvvf^^^^^^^^ssss|ssssfffffffffffffffffffffffffffffffffFFFfffffffffffffffffFFFFFFFFffffffffffffffffFFfffffFFFFfffffFFffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^d|dd^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^^^^rrrrrRRRrsssssss^^^^vvvvvvvvvvvvvvvvf^^^^^ssssssss|ssssssssssssss|dddddddiiiiidddddddddddddddddddddddddssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrRRRRRrss|ssssssssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^ssss|ssssfffffffffffffffffffffffffffff?ffFFFFFFfffffffffffffffFFFFFFFFfffffffffffffffffffffffFFFFf?fffFFfffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^d|d^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^^^^^rrrrRRRrrssssss^^^^vvvvvvvvvvvvvvvvv^^^^^^sssssss|sssssssssss^!^+dddddddiiiiiddddddd!dddddddddddddddddsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrRRRRRrrss\sssssssssss^^^^^vvvvvvvvvvvvvvvvvvrvvvvvvvvvf^^^^^^^^ssss|sssssffffffffffffffffffffffffffffffffFFFFFFFFFfffffffffffFFFFFFFffffffffffffffffffffFFFFFFFFFFFfffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^V^^^^^^^^^^^^^^^dd+d^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^^^^^rrrrRRRrrssssss^^^^vvvvvvvvvvvvvvvvf^^^^^^^ssssss|ssssssssss^^^^^\ddddddd!d!dddddddiiiidddddddddddddddsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrRRRRrrsss\ssssssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^ssss|ssssssfffffffffffffffffffffffffffffFFFFFFFFFFFfffffffffffFFFFFFFfffffffffffffffffffffffffFFFfffFFFFfffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd/dd^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^rrrrRRRrrssssss^^^^vvvvvvvvvvvvvvvvv^^^^^^^^sssss|sssssssssss^^^^^+dddddiiiiiddddddiiiidddddddddddddddsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrRRRRrssss\sssssssss^^^^^vvvvvvvvvvvvvvvvvvrvvvvvvvvvf^^^^^^^^ssss|ssssssfffffffffffffffffffffffffffffFFFFFFFFFFFfffffffffffFFFFFFFfffffffffffffffffffffffffFFFFFFFFFFfffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^/ddd^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^^^^^rrrrRRRrrssssss^^^^vvvvvvvvvvvvvvvvf^^^^^!^ssssss|ssssssssss^^^^^^|dddddiiiiiddddddiiiidddddddddddddddsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrRRRRRrssss\ssssssss^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^ssss|ssssssfffffffffffffffffffffffffffffFFFFFFFFFFFfffffffffffFFFFFFFfffffffffffffffffffffffffFFFFFFFFFFFffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^+dddd^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^^^^^rrrrRRRrrrrssss^^^^^vvvvvvvvvvvvvvvv^^^^^^sssssss|sssssssss^^^^^^d|dddddiiiiiddddddiiiidddddddddddddddsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrRRRRRrrssss\sssssss^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^sssss|sssssssffffffffffffffffffffffffffffFFFFFFFFFFFfffffffffffFFFFFFFfffffffffffffffffffffffffFFFFFFFFFFFffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^|ddd^^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^^^^^rrrrRRRrrrrssss^^^^^vvvvvvvvvvvvvvvf^^^^^ssssssss|ssssssss^^^^^^^^|dddddiiiiiidddddiiiidddddddddddddddsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrRRRRrrrssss\ssssss^^^^^vvvvvvvvvvvvvvvvv###vvvvvvvvv^^^^^^^sssss|sssssssffffffffffffffffffffffffffffFFFFFFFFFFFfffffffffffFFFFFFffffffffffffffffffffffffffFFFFFFFFFFFffffffffffffffff^^^^^^^^^^^^^^^^^V^^^^^^^^^^^^^^^^^|ddd^^^^^^^^^^^^^^^^^ddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^^^^^rrrrRRRrrrrssss^^^^^vvvvvvvvvvvvvvvv^^^^^^sssssss|sssssss^^^^^^^^^|dddddiiiiiiiiiiiiiiidddddddddddddddssssssddddddddddddddddddddddsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrRRRrrrssss+?+ssss^^^^^^vvvvvvvvvvvvvvv#####vvvvvvvf^^^^^^^sssss|ssssssssfffffffffffffffffffffffffffFFFFFFFFFFFfffffffffffFFFFFffffffffffffffffffffffffffffFFFFFFFFFFffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^d|ddd^^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^^^^^^^^^rrrrRRRrrrrrsss^^^^^vvvvvvvvvvvvvvvf^^^^^ssssssss|ssssss^^^^^^^^^d|dddddiiiiiiiiiiiiiiiddddddddddddddddddddddddddddddddddddddddddddddddddsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrRRRRRrsssssss\sss^^^^^^^vvvvvvvvvvvvv#######vvvvvvv^^^^^^^sssss|ssssssssffffffffffffffffffffffffFFFFFFFFFFFFFFfffffffffffFFFFFffffffffffffffffffffffffffffFFFFFFFFFFffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd+dd^^^^^^^^^^^^^^^^^^^^ddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^^^^^^^^^rrrrRRRrrrrrssss^^^^vvvvvvvvvvvvvvvv^^^^^^sssssss|sssss^^^^^^^^^dd|ddddddiiiiiiiiiiiiiidddddddddddddddddddddddddddddddddddddddddddddddddddddddsssssssssssffffsffffffffsssssssssssfffffssssssssssssssrrRRRRRrrsssssss\ss^^^^^^^^^vvvvvvvvvvvv######vvvvvvf^^^^^^^sssss|sssssssssffffffffffffffffffffffFFFFFFFFFFFFFFFFFfffffffffFFFFFffffffffffffffffffffffffffffFFFFFFFFFFffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^d/ddd^^^^^^^^^^^^^^^^^^^^ddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^^^^^^^^^rrrrRRRrrrrrssss^^^^^vvvvvvvvvvvvvvf^^^^^^^ssssss|ssss^^^^^^^^rddd|dddddddiiiiiiiiiiiiiddddddddddddddddddddddddddddddddddddddddddddddddddddddddddsssssssffffffffffffffffsfffffffffffffffsssssssssssssrRRRRRrrrsssssss\ss^^^^^^^^^^^vvvvvvvvvv#####vvvvvvv^^^^^^^sssss|ssssssssssffffffffffffffffffffFFFFFFFFFFFFFFFFFFFffffffffFFFFFffffffffffffffFFFFFFFFFFffffFFFFFFFFFFfffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^/dddd^^^^^^^^^^^^^^^^^^^^^dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^^^^^rrrrRRRrrrrrssss^^^^^vvvvvvvvvvvvvvv^^^^^^sssssss|sss^^^^^^^vvfddd|ddddddddd!diiiiiiiiiddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddsssssffffffffffffffffffffffffffffffffsssssssssssssrrrRRRRrrrrssssss\ss^^^^^^^^^^^^vvvvvvvvv####vvvvvvf^^^^^^^sssss|sssssssssssfffffffffffffffffffFFFFFFFFFFFFFFFFFFFffffffffFFFFFffffffffffffFFFFFFFFFFFFffffffffFFFFFffffffffffffffff^^^^^^^^^^^^#######^^^^^^^^^^^^^^+ddd^^^^^^^^^^^^^^^^^^^^^^^dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^rrrRRRRrrrrssss^^^^^vvvvvvvvvvvvvvf^^^^^^^ssssssCssss^^^^^^vvvddd|ddddddddddddddddiiiiddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddsssfffffffffffffffffffffffffffffffffssssssssssssrrrRRRRRrrrrssssss\ss^^^^^^^^^^^^vvvvvvvvvf#vvvvvvvv^^^^^^^sssss|sssssssssssffffffffffffffffffffFFFFFFFFFFFFFFFFFffffffffffFFFfffffffffffffFFFFFFFFFFFFffffffffFFFFFffffffffffffffff^^^^^^^^^^^^#######^^^^^^^^^^^^dd|ddd^^^^^^^^^^^^^^^^^^^^^^^dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^rrRRRRrrrrssss^^^^^^vvvvvvvvvvvvvv^^^^^^sssssssssss^^^^^^^vvfddd+ddddddddddddddddiiiiddddddddddddddddddddddiiiiiiiiiiiiiiiiiiiiiiiiidddddddddddddddddsfffffffffffffffffffffffffffffffffssssssssssssrrrRRRRRRrrrsssssss\sss^^^^^^^^^^^vvvvvvvvvvvvvvvvvf^^^^^^ssssss|sssssssssssfffffffffffffffffffffFFFFFFFFFFFFFFFfffffffffffFFFfffffffffffffFFFFFFFFFFFFFffffffffffFFffffffffffffffff^^^^^^^^^^^^#######^^^^^^^^^^^ddd|dd^^^^^^^^^^^^^^^^^^^^^^^^dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^rRRRRRrrrsssss^^^^^vvvvvvvvvvvvvf^^^^^^^!^sssssss^^^^^vvvvvvdd/dddddddddddddddddiiiiddddddddddddddddddiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiddddddddddddddffffffffffffffffffffffffffffffffffssssssssssssrrrRRRRRRrrrsssssss\sssss^^^^^^^^vvvvvvvvvvvvvvvvf^^^^^^^ssssss|sssssssssssffffffffffffffffffffffffFFFFFFFFFFfffffffffffffFFFfffffffffffffFFFFFFFFFFFFFffffffffffffffffffffffffffff^^^^^^^^^^^^^#####^^^^^^^^^^^dddd+dd^^^^^^^^^^^^^^^^^^^^^^^^dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^rRRRRrrrsssss^^^^^vvvvvvvvvvvvvvf^^^^^^^^^!^!^!^^^^^^vvvvvfd/ddddddddddddddddddiiiiddddddddddddddddiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiddddddddddddffffffffffffffffffffffffffffffffffssssssssssssrrrrRRRRRRrrrsssssss\ssssss^^^^^^vvvvvvvvvvvvvvvf^^^^^^^^ssssss|sssssssssssfffffffffffffffffffffffffFFFFFFFFFfffffffffffffFFFffffffffffffffFFFFFFFFFFFFffffffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd/ddd^^^^^^^^^^^^^^^^^^^^^^^^dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^RRRRrrrsssss^^^^^vvvvvvvvvvvvvvvf^^^^^^^^^^^^^^^^^^vvvvvvv/dddddddddddddddddddiiiidddddddddddddddiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiidddddddddfffffffffffffffffffffffffffffffffffffsssssssssrrrrrrRRRRRrrrrrssssss\ssssss^^^^^^vvvvv?vvvvvvvvv^^^^^^^sssssss|sssssssssssfffffffffffffffffffffffffFFFFFFFFFfffffffffffffFFFffffffffffffffFFFFFFFFFFFFFFffffffffffffffffffffffffFF^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd/dddd^^^^^^^^^^^^^^^^^^^^^^^^dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^rRRRrrrssssss^^^^vvvvvvvvvvvvvvvv^^^^^^^^^^^^^^^^^^vvvvvv/ddddddddddddddddddddiiiiddddddddddddddddiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiidddddddddffffffffffffffffffffffffffffffffffffffssssssssssrrrrrrRRRRRRRrrrssssss\ssssss^^^^^^vvvvvvvvvvvvv^^^^^^^ssssssss|ssssssssssssfffffffffffffff###ffffffFFFFFFFFFffffffffffffffFfffffffffffffffffFFFFFFFFFFFFFFffffffffffffffffffffffFF^^^^^^^^^^^^^^^^^^^^^^^^^^dddd+ddddd^^^^^^^^^^^^^^^^^^^^^^^^dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^ssrRRRrrrssssss^^^^^vvvvvvvvvvvvvvf^^^^^^^^^^^^^^^^vvvvvvv+vddddddddddddddddddddiiiiddddddddddddddddddiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiidddddddddddffffffffffffFFFFFfffffffffffffffffffffffssssssssrssrrrrRRRRRRRrrrssssss\sssss^^^^^^vvvvvvvvvvvv^^^^^^^sssssssss|ssssssssssssffffffffffffff#####fffffFFFFFFFFFfffffFFFFFFFFFFFFfffffffffffffffFFFFFFfffFFFFFffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd|ddddd^^^^^^^^^^^^^^^^^^^^^^^^dd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^rRRRrrrssssss^^^^^vvvvvvvvvvvvvvv^^^^^^^^^?vvvvvvvvvvvvvv\ddddddddddddddddddddiiiiddddddddddddddddddddddiiiiiiiiiiiiiiiiiiiiiiiiiidddddddddddddddffffffffffffFFFFFFFFFFFFFFffffffffffffffssssssssrsssrrrrRRRRRRrrrrrsssss\ssss^^^^^^vvvvvvvvvvv^^^^^^^^sssssssss|ssssssssssssfffffffffffff#######ffffFFFFFFFFFfFFFFFFFFFFFFFFFFFFFFfffffffffffffFFFFfffFFFFFffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddd|ddddd^^^^^^^^^^^^^^^^^^^^^^^ddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^rRRRRrrssssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv\dddddddddddddddddddiiiidd^^^^^^^^^^^^dddddddddddddddddddddddddddddddddddddddddddddddffffffffffffffFFfffFFFFFFFFFFFffffffffffffffssssssrssssrrrrrRRRRRRrrrssssss+ssss^^^^^vvvvvvvvvv^^^^^^^^sssssssssy|ssssssysssssfffffffffffffffff###ffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffffFFFFffffffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddd|ddddd^^^^^^^^^^^^^^^^^^^^^^^ddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^rrRRRRrrrsssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv\ddddddddddddddddddiiiid^^^^^^^^^^^^^^^dddddddddddddddddddddddddddddddddddddddddddffffffffffffffffFFffffffffffffffffffffffffffffssssssrssssssrrrrRRRRRRrrrsssss|sssss^^^^vvvvvvvvvf^^^^^^^sssssssysss|sssssssssssssffffffffffffffffff#ffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffFFffffffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddddd+ddddd^^^^^^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^rrRRRRrrrssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvff+dddddddfdfdddddddiiiid^^^^^^^^^^^^^^^^^ddddddddddddddddddddddddddddddddddddddfffffffffffffffffffFFffffffffffffffffffsffffffffffsssssrrsssssrrrrRRRRRRRrrrssss+sssss^^^^^vvvvvvvf^^^^^^^sssssssyssss|sssssssssssssfffffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffFFfffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^r^dddddd/dddddd^^^^^^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^rrrrRRRrrrssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvffffff/ffddddddfffdddddddiiiid^^^^^^^^^^^^^^^^^^^^^dddddddddddddddddddddddddddddffffffffffffffFFFFFFFFFFFFffffffffffFfffffffffffffffffffsssssrssssssrrrrrRRRRRRrrrssss\ssss^^^^^vvvvvvvv^^^^^^^ssssssysssss|ssssssssssssssfffffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffFFFffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvddddd/ddddddd^^^^^^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^rrrrrRRRrrrsssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvffffffffff/fffffffffffffddddddiiiid^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddddddddddddfffffffffffffffffffffFFFFFFFFFFFFfffffffffFFFFffffffffffffffffffffssrsssssssrrrrrRRRRRRrrrssss\sss^^^^^^vvvvvvf^^^^^^ssssssyssssss|ssssssssssssssfffffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffFFFffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvfdddd/dddddddd^^^^^^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^rrrrrRRRrrrsssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvffffffffffffff/ffffffffffffffddddddiiiidd^^^^^ffff^^^^^^^^^^^^^^^^^^^^ffffffffffffffffffffffffffffffffffFFfffffffffffffffffffFFFFfffffffffffffffffffffsrrsssssssrrrrrRRRRRrrrrssss\ss^^^^^^vvvvvvv^^^^^^sssssssssssss|sssssssssssssssffffffffffffffffffffffFFFFFFFffFFFFFFFFFFFFFFFFFFFFFffffffffffffFFfffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvfdddd/ddddddddd^^^^^^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^rrrrrrRRRrrrsssssss^^^^^^vvvvvvvvvvvvvvvvvvvffffffffffffffff/ffffffffffffffffdddddiiiiddd^^^^fff?ff^^^^^^^^^^^^^^^^^fffffffffffffffffffffffffffffffffffFFfffffffffffffffffffFFFFfffffffffffffffffffffvvvssssssssrrrrrRRRRRRrrsssss\ss^^^^^^^^^?^^^^^^^^sssssssssssss|sssssssss###sssffffffffffffffffffffffFFFFFFFffffffFFFFFFFFFFFFFfffffffffffffffFFFffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvfdddd/dddddddddd^^^^^^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~^^^^^rrrrrrrRRRrrrsssssss^^^^^^vvvvvvvvvvvvvvvvffffffffffffffffff/fffffffffffffffffdddddiiiidd^^^^^ffffffff^^^^^^^^^^^^^^^^ffffffffffffffffffffffffffffffffffFFfffffffffffffffffffFFFFffffff##fffffffffffffvvvfssssssssrrrrrrRRRRrrrsssss\s^^^^^^^^^^^^^^^^^ssssssssssssss|sssssssss#?#ssssfffffffffffffffffffffFFFFFFFffffffffffffffffffffffffffffffffffFFFfffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvddd/ddddddddddd^^^^^^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^rrrrrrrRRRrrrssssssss^^^^^vvvvvvvvvvvvvvvffffffffffffffffff/fffffffffffffff^^^fdddddiiddd^^^^fffffffffffff^^^^^^^^^^^fffffffffffffffffffffffffffFFFFFFFFFFfffffffffffffffffffFFFFfffff###f#fffffffffffvvvffffsssssssrrrrrRRRRrrssssss\s^^^^^^^^^^^^^^^^ssssssssssssss|sssssssss###sssssfffffffffffffffffffffFFFFFfffffffffffffffffffffffffffffffffffFFffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvfdd/dddddddddddd^^^^^^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~^^^^^^^^^rrrrrrrrRRRrrrssssssss^^^^^vvvvvvvvvvvvfffffffffffffff###ff/ffffffffffffffff^^^^^^^^^^^dd^^^^^fffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFFFFFffffffffffffffffffFFFFFFfff#######ffffffffffvvvffffsssssssssrrrrRRRRrrssssss\^^^^^^^^^^^^^^^^ssssysssssssss|ssssssssssssssssssffffffffffffffffffffFFFFFfffffffffffffffffffffffffffffffffFFFFffffffffffffffffffffffs^^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvvd/ddddddddddddd^^^^^^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^^^^^^^srrrrrrrrRRRrrrrssssssss^^^^vvvvvvvvvvvfffffffffffffff#####/fffffffffffffffff^^^^^^^^^^^^^^^^^ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFfff#####ffffffffffffvvvffffffsssssssrrrrrRRRrrsssssss\sssssss^^^^^^^ssssyssssssssss|sssssssssssssssssssfffffffffffffffffffFFFFFfffffffffffffffffffffffffffffffffFFFFffffffffffffffffffffffs^^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvf/dddddddddddddd^^^^^^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~^^^^^^^^srrrrsssrRRRrrrrssssssss^^^^vvvvvvvvvvfffffffffffffff#######fffffffffvvvvvvvf^^^^^^^^^^^^^^^^^ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFfff#####ffffffffffffvvvfffffffssssssssrrrrRRRrrsssssss\ssssssss^^^^^sssssssssssssss|ssssssssssssssssssssfffffffffffffffffffFFFffffffffffffffffffffffffffffffffffffffffffffffffffffffffffss^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvvv/ddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~^^^^^^^^^rrrrrsssrRRRrrrrssssssss^^^^vvvvvvvvvvvffffffffffffff#######ffffffffvvvvvvvvvf^^^^^^^^^^^^^^^^ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFfff#####ffffffffffffvvvffffffffssssssssrrrRRRrrssssssss+-+ssssssssssssssyssssssssss|sssssssssssssssssssssfffffffffffffffffffFfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffss^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvvv/fddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~^^^^^^^^^rrrsrsssRRRRrrrrssssssss^^^^^vvvvvvvvvffffffffffffffff######fffffffffvvvvvvvvvvv^^^^^^^^^^^^^^ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFffff###ffffffffffffvvvrffffffffssssssssyrrrRRRrrssssssssss\ssssssssssssssssssssssss|ssssssssssssssssssssssfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffsss^^^^^^^^^^^^^^^^^^^^^vvvvvvvvvv/vvddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~^^^^^^^^^rrrsssssRRRRrrrrssssssss^^^^^vvvvvvvvvvffffffffffffffff|fff#ffffffffvvvvvvvvvvvvvvvf^^^^^^^^ffffffffffffffffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffffffffFFFFFFffffff|ff#fffffffffvvvfffffffffssssssssyrrrRRRrrsssssssssss+-----------------------+sssssssssssssssssssssssffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffss^^^^^^^^^^^^^^^^^^^^^vvvvvvvvvv/vvfddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~^^^^^^^^rrrrssssRRRRrrrrssssssss^^^^^vvvvvvvvvvvfffffffffffffff|fffffffffffff^^^^^^^^^vvvvvvf^^^^^^fffffffffffffffffffffffffffFFFFFFFF?FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffFFFFFFffffff|ffffffffffffvvvfffffffffssssssssyyrrRRRRrrsssssss!sssssssssssssssssssssssss/ssssssssssssssssssssssssssfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffsss^^^^^^^^^^^^^^^^^^^^vvvvvvvvvv/vvvvddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~^^^^^^^^^rrrrsssssRRRrrrrrssssssss^^^^^vvvvvvvvvvvvvvffffffffffff|fffffffffffff^^^^^^^^^^vvvvvvvv^^^^ffffffffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffFFFFFFfffffffffffffffffffvvvfffffffffsssssssssyyrrrRRRrsssssss?!sssssssssssssssssssssss/sssssssssssssssssssssssssssssfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffssss^^^^^^^^^^^^^^^^^^^?vvvvv+----+vvvvfddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^%ddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~^^^^^^vvrrrssssrRRRrrrrrsssssssss^^^^vvvvvvvvvvvvvvvfffffffffff|fffffffffffff^^^^^^^^^^^vv^vvv^^^^^fffffffffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffFFFFFFffffff|ffffffffffvvvrrfffffffffssssssssssyrrrRRRrrsssrryssssssssssssssssssssssss/ssssssssssssssssssssssssssssssssfffffffffffffffffffffffffffffffffffffffffffffffffffffffffssssssssssssss^^^^^^^^^^^^^^^^^^^vvvvv/vvvvvv\vvvvddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~^^^^^^^vvrrrrsssrrRRRrrrrrsssssssss^^^^^vvvvvvvvvvvvvvvvvfffffff/fffffffffffffffffff^^^^^^^^^^?f^^^^ffffffffffffffffffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffffffffFFFFFFffffff|fffffffvvvrrrfffffffffffssssssssssyyrRRRRRrrrrssssssssssssssssssssssssss/sssssssssssssssssssssssssssssssssssfffffffffffffffffffffffffffffsffffffffffffffffffffffssssssssssssssss^^^^^^^^^^^^^^^^^^^vvvvv/vvvvvvvv\vvfddddddddddddddd^^^^^^^^^#^^^^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~^^^^^^vvvvrrrsssrrRRRrrrrrsssssssss^^^^^vvvvvvvvvvvvvvvvvv+----+ffffffffffffffffffffff^^^^^^^^^^^^^^ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFfffffffvvvrrrrrrrffffffffffffffsssssssssyyyrrRRRRrrrryssssssssssssssssssssssss/sssssssssssssssssssssssssssssssssssssssffffffffffffffffffffffffffffffffffffffffffffssssssssssssssssssshh^^^^^^^^^^^^^^^^^^vvvvv/vvvvvvvvvv\vvddddddddddddddd^^^^^^^^^####^^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~^^^^^^vvvrrrssssrrRRRrrrrrsssssssss^^^^^vvvvvvvvvvvvvvvvv/vvvvvvvffffffffffffffffffffff^^^^^^^^^^^^ffffFFFFFFFFFFfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFffffffffffffffffffffffffffFFfffssssssssssyyrrRRRRRrrrrysssssssssssfffffffssss/ssssssssssssssssssssssssssssssssssssssssssssffffffffffffffffffffffffffffffffffffffssssssssssssssssssssh%^^^^^^^^^^^^^^^^^^^vvvv/vvvvvvvvvvvv\fddddddddddddddd^^^^^^^^^#####^^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~^^^^^^^vvvrrrrsssrrrRRRrrrrrsssssssss^^^^^vvvvvvvvvvvvvvvv/vvvvvvvvvvvffffffffffffffffffff^^^^^^^^^^^fffFFFFFFFFFFFfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFffffff|fffffffffffffffffffFFFffsssssssssssyjrrRRRRrrrrssssssssssssf?fffffyss/ssssssssssssssssssssssssssssssssssssssssssssssffffffffffffffffffffffffffffffffffssssssssssssssssssssssshh^^^^^^^^^^^^^^^^^vvvvv/vvvvvvvvvvvvv^\ddddddddddddddd^^^^^^^^^#######^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~^^^^^^^vvvvrrrsssrrrRRRrrrrrssssssssss^^^^vvvvvvvvvvvvvvv/vvvvvvvvvvvfffffffffffffffffffffffffffffffffffFFFffffffFFFfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffvvvrrrrrFFFFFffffff|fffffffffffffffffffFFfffsssssssssssyjjrrRRRRrrrrsssssssssssfffffffff/fffffsssssssssssssssssssssssssssssssssssssssssssssffffffffffffffffffffffffffffsssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^vvvv/vvvvvvvvvvv^^^^^\ddddddddddddddd^^^^^^^^#######^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~^^^^^^vvvvrrrrsssrrrRRRrrrrsssssssssss^^^^vvvvvvvvvvvvvv/vvvvvvvvvvvvvfffffffffffffffffffffffffffffffffFFFfffffffFFFFfffffffffffffffffffffffffffffffffffffFFfffffffffffffffffffffffvvvrrrrrFFFFFffffff|fffffffffffffffffffFFfffssssssssssyjjjrrrRRRRrrrrssssssssssffffffff/ffffffysssssssssssssssssssssssssssssssssssssssssssssssffffffffffffffffffffffsssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^vvvvv/vvvvvvvvvvv^^^^^^d\dddddddddddddd^^^^^^^^^#####^^^^^^^dddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^^^^vvvvvrrssssrrrRRRrrrrsssssssssss^^^^^vvvvvvvvvvvv/vvvvvvvvvvvvvffffffffffffffffffffffffffffffffffFFFffffffffFFFFFFFFFFFfffffffffffffffffffffffffffffFFFFffffffffffffffffffsssvvrrrrrrFFFFFffffff|ffffffffffffffffFFFFffffsssssssssyjjjjjjrRRRRrrrrysssssssssfffffff/fffffffsssssssssssssssssssssssssssssssssssssssssssssssssssfffffffffffffffffsssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^vvvv/vvvvvvvvvf^^^^^^^^dd\ddddddddddddd^^^^^^^^^^^^^^^^^^^^ddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~^^^^^^vvvvrrrssssrrrRRRrrrssssssssssss^^^^^vvvvvvvvvvv/vvvvvvvvvvvvvvvfffffffffffffffffffffffffffffffffFFffffffffffFFFFFFFFFFFfffffffffffffffffFFFFFFFFFFFFFffffffffffffsssssssssssvvrrrrrrFFFFFffffff|fffFFffffffffffFFFFFFfffssssssssssjjjjjjrrRRRrrrrssssssssssffffff/ffffffffysssssssssssssssssssssssssssssssssssssssssssssssssssssfffffffffffsfsssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^vvvvv/vvvvvvvvv^^^^^^^^^dddd\dddddddddddd^^^^^^^^^^^^^^^^^^^^ddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~^^^^^^vvvvvrrsssrrrrRRRrrrssssssssssss^^^^^^vvvvvvvvv/vvvvvvvvvvvvvvvffffffffffffffffffffffffffffffffffFFffffffffffffffffffFFFFFFFFFFffffffffffFFFFFFFFFFFFFfffffffffssssssssssssssvvrrrrrrFFFFFffffff|ffFFFffffffffffFFFffffffsssssssssjjjjjjjrrRRRRrrrysssssssssfffff/fffffffffsssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffffssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^vvvvv/vvvvvvvvv^^^^^^^^^^ddddd\ddddddddddd^^^^^^^^^^^^^^^^^^^^ddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^^^^vvvvrrrsssrrrrRRRrrrssssssssssss^^^^^^vvvvvvvv/vvvvvvvvvvvvvvvvvffffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFFFFFFffffffffFFFffffffffffffffffsssssssssssssssssrrrrrrrrFFFFFffffff|ffFFFfffffffffffffffffsssssssssssjjjjjjjjjrRRRRrrryssssssssffff/ffffffffffyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^vvvvv/vvvvvvvvv^^^^^^^^^^^dddddd\dddddddddd^^^^^^^^^^^^^^^^^^^dddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^^^vvvvrrrsssssrrrRRRrrrsssssssssssss^^^^^^vvvvvv/vvvvvvvvvvvvvvvvvvvfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffssssssssssssssrrrvvvrrrfFFFFFFffffff|ffFFfffffffffffffffffsssssssssssjjjjjjjjjjrRRRRrrrsssssssssfff/fffffffffffsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffsssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^vvvvv/vvvvvvvf^^^^^^^^^^^^dddddddd\dddddddddd^^^^^^^^^^^^^^^^^^dddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^^^vvvvvrrsssssrrrrRRrrrsssssssssssss^^^^^^vvvvv/vvvvvvvvvvvvvvvvvvvvvffffffffffffff^^^^^^^^fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffssssssssssssssrrssffvvvrfFFFFFFffffff|ffFFfffffffffffffsssssssssssssssjjjjjjjj%jrrRRRrrryssssssssff/ffffffffffffysssssssssssssssfffffffssssssssssssssssssssssssssssssssssssfffffsssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^vvvvv/vvvvvvvvv^^^^^^^^^^^dddddddddd\ddddddddd^^^^^^^^^^^^^^^^^^dddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^^^vvvvrrrsssssrrrRRRrrrssssssssssssss^^^^^^vvv+vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^^ffffffffffffffffffffffsssfffffffffffffffffffffffffffffffffffffffsssssssssssssssrrrsssfffffffFFFFFFffffff|ffFFffffffssssssssssssssssssssssjjjjjjjjjjjrrRRRrrrysssssssf/fffffffffffffssssssssssssssssfffffffffffffffffysssssssssssssssssssssssssffffssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^vvvvv/vvvvvvvvv^^^^^^^^^^^^ddddddddddd\dddddddd^^^^^^^^^^^^^^^^^^dddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^^vvvvvvrrsssssrrrRRRrrrssssssssssssss^^^^^^vvv|vvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^^^^^^^^fffffffffffffffffffssssssffffffffffffffffffffffffffffffffffsssssssssssssssssssrssssssffffffFFFFFFffffff|ffFFfffffsssssssssssssyssssssssjjjjjjjjjjjjrrRRRRrrssssss+-+ffffffffffffffyssssssssssssssffffffffffffffffffsssssssssssssssssssssssssfffffsssssssssssssssssssssssssssssss^^^^^^^^^^^^^^vvvvv/vvvvvvvvv^^^^^^^^^^^^^dddddddddddd\ddddddd^^^^^^^^^^^^^^^^^ddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^^vvvvvrrrrssssrrrRRRrrrsssssssssssssss^^^^^vvv|vvvvvvvvvvvvvvvvvvvvvvvvvvvv?^^^^^^^^^^^^^^^^fffffffffffffffsssssssssssssfffffffffffffffffffffffffsssssssssssssssssssssssrrrssssssffffffFFFFFFffffff|fFFFffffsssssssssssssysssssssssjjjjjjjjjjjrrrrRRRrryssss/ssfffffffffffffffssssssssssssssfffffffffffffffffffysssssssssssssssssssssssssffffssssssssssssssssssssssssssssss^^^^^^^^^^^^^^vvvvv/vvvvvvvf^^^^^^^^^^^^^^dddddddddddddd+ddddddd^^^^^^^^^^^^^^^^ddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^^vvvvvvrrrssssrrRRRRrrrsssssssssssssss^^^^^vvv|vvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^^^^^^^^^^ssfffffffffffssssssssssssssssffffffffffffffffffffffsssssssssssssssssssssssssrssssssssfffffffFFFFfffffff|FFFFfffsssssssssssssyssssssssssjjjjjjjjjjrrrrrrRRrrssss/ssssffffffffffffffysssssssssssssffffffffffffffffffffysssssssssssssssssssssssffffffssssssssssssssssssssssssssss^^^^^^^^^^^^^^vvvvv/vvvvvvvvv^^^^^^^^^^^^^^dddddddddddddd|dddddddd^^^^^^^^^^^^^^dddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^^vvvvvrrrrsssrrrRRRRrrrssssssssssssssss^^^^^^v|vvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssssssssfffffffffffffffffsssssssssssssssssssssssssrrrssssssssfffffffFFFFfffffff|FFFffffssssssssssssyssssssssssjjjjjjjjjjrrr+======----+ssssssffffffffffffysssssssssssssfffffffffffffffffffffffsssfssssssfssssssfsssffffffssssfsssssssssssssssssssssss^^^^^^^^^^^^^^^vvvv/vvvvvvvf^^^^^^^^^^^^^^^ddddddddddddddd|ddddddddd^^^^^^^^^^^^^dddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^vvvvvvvrrrsssrrrRRRrrrrssssssssssssssss^^^^^^v|vvvvvvvvvvvvvvvvvv^^^^^^^^^^^^^^^^^^^^^^^^^^!^ssssssssssssssssssssssssssssssssffffffffffffffssssssssssssssssssssssssssrrssssssssssfffffffFFFFfffffff|FFfffsssssssssssssysssssssssssjjjjjjjjjrrrj|jrrRRRrrysssssssssffffffffffffyssssssssssssfffffffffffffffffffffffysfffssfsfffssfsfffssfsffffsfsfffssyssssssssssssssssss^^^^^^^^^^^^^^^vvvv/vvvvvvvvv^^^^^^^^^^^^^^dddddddddddddddd+rddddddd^^^^^^^^^^^^^ddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^vvvvvvvvrrsssrrrRRRrrrrssssssssssssssss^^^^^^v|vvvvvvvvvvvvvvvvv^^^^^^^^^^^^^^^^!^!^!^!^!^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrrrrsssssssssssfffffffF?FFfffffff|Fffffssssssssssssyssssssssssjjjjjjjjjjjrrjj|jjrrRRRrrysssssssssssssssssssssssssssssssss?ffffffffffffffffffffffffffffffffffffffffffffffffffyyyyyyyysssssssssssssssss^^^^^^^^^^^^^^^vvvv/vvvvvvvf^^^^^^^^^^^^^^^^ddddddddddddddd/rrddddddddd^^^^^^^^^^dddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^vvvvvvvrrrsssrrrRRRrrrrssssssssssssssss^^^^^^v|vvvvvvvvvvvvvvvv^^^^^^!^^^^^^^!^sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrrrssssssssssssssssfffffffFFFFfffffff|Ffffssssssssssssysssssssssssjjjjjjjjjjjrrjj|jjrrrRRrrssssssssssssssssssssssssssssssssssfffffffffffffffffffffffysfffffffffffffffffFFfffffffsssssssssssssssssssssss^^^^^^^^^^^^^^^vvvvv/vvvvvvvf^^^^^^^^^^^^^^^^^dddddddddddddd/drrdddddddddd^^^^^^^dddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^vvvvvvvvrrrrsrrrRRRrrrrssssssssssssssssss^^^^v|vvvvvvvvvvvvvvvf^^^^^sss^!^!^sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssy!rrrrrryssssssssssssssssssssfffffffFFffffffFF|Fffssssssssssssysssssssssssjjjjjjjjjjjjrrjj+jjrrrRRrrrsssssssssssssssssssssssssssssssssfffffffffffffffffffffffsssssssssssffffffFFFFFFffffssssssssssssssssssssss^^^^^^^^^^^^^^^^^vvvv/vvvvvvvf^^^^^^^^^^^^^^^^^ddddddddddd+--+ddrrddddddddddddddddddddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvrrrsrrrRRRrrrrssssssssssssssssss^^^^v|vvvvvvvvvvvvvv^^^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrysssssssssssssssssssssssssfffffffffffffffFF|Fffssssssssssssssssssssssssjjjjjjjjjjjrrrj/jjjjrrRRRrrrssssssssssssssssssssssssssssssssfffffffffffffffffffffffyssssssssssssffffffFFFFffffssssssssssssssssssss^^^^^^^^^^^^^^^^^vvvvv/vvvvvvvvv^^^^^^^^^^^^^^^^ddddddddddd/dddddrrrddddddddddddddddddddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvrrrrrrrrRRRrrrrssssssssssssssssss^^^^v|vvvvvvvvvvvvv^^^^^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrrssssssssssssssssssssssssssssfffffffffffffffff+fffssssssssssssssssssssssssjjjjjjjjjjjrrj/jjjjjrrrRRrrrysssssssssssssssssssssssssssssssfffffffffffffffffffffffsssssssssssssssssfffFFFFfffsssssssssssssssssss^^^^^^^^^^^^^^^^^^vvvv/vvvvvvvf^^^^^^^^^^^^^^^^^^dddddddddd/ddddddrdrddddddddddddddddddddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^vvvvvvvvvrrrrrrrRRRrrrrssssssssssssssssss^^^^v|vvvvvvvvvvvv^^^^^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss%ssssssssrrrsysssssssssssssssssssssssssssssffffffffffffffff/fffssssssssssssyssssssssssssjjjjjjjjjjjjr+jjjjjjjrrRRRrrrrssssssssssssssssssssssssssssssfffffff%fffffffffffffffysssssssssssssssssfffFFFffffssssssssssssssss^^^^^^^^^^^^^^^^^^vvvvv/vvvvvvvf^^^^^^^^^^^^^^^^^^ddddddd+--+dddddddrrrddddddddddddddddddddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvvrrrrrrRRRrrrrssssssssssssssssss^^^^v|vvvvvvvvvvv^^^^^^!^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrssssssssssssssssssssssssssssssssssffffffffffffff/fffssssssssssssyssssssssssssjjjjjjjjjjjjjr=rrjjjjjrrrRRrrrrysssssssssssssssssssssssssssssfffffffffffffffffffffffsssssssssssssssssssssffffffssssssssssssssss^^^^^^^^^^^^^^^^^^vvvvv/vvvvvvvf^^^^^^^^^^^^^^^^^^^dddddd/dddddddddddrdrddddddddddddddddddddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvrrrrrrrRRRrrrrssssssssssssssssss^^^^v|vvvvvvvvvvf^^^^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrsssssyssssssssssssssssssssssssssssssfffffffffffff/fffssssssssssssysssssssssssssjjjjjjjjjjjjjj+jrrrjjjrrrRRRrrrssssssssssssssssssssssssssssssffffffffffff?f!fffffffssssssssssssssssssssssssffffssssssssssssss^^^^^^^^^^^^^^^^^^vvvvvv/vvvvvvv^^^^^^^^^^^^^^^^^^^^dddddd/ddddddddddddrrrrrrrdddddd!drrrrrdddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvvrrrrrrRRRrrrrssssssssssssssssss^^^^v|vvvvvvvvvvv^^^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrsssssssssssssssssssssssssssssssssssssfffffffffff/ffffsssssssssssysssssssssssssjjjjjjjjjjjjjj/jjrrrjjjjrrRRRRrrrsssssssssssssssssssssssssssssffffffffffffffffffffffysssssssssssssssssssssssffffssssssssssss^^^^^^^^^^^^^^^^^^^vvvvvv/vvvvvvvf^^^^^^^^^^^^^^^^^^^dddddd/dddddddddddddrrrrrrrrrdrrrrrrsssrrddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvrrrrrrrRRRrrrrssssssssssssssssss^^^^v|vvvvvvvvvvf^^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrsssssssysssssssssssssssssssssssssssssssffffffffff/ffffsssssssssssysssssssssssssjjjjjj#jjjj+--+jjjrrjjjjjjrRRRRrrryssssssssssssssssssssssssssssffffffffffffffffffffffssssssssssssssssssssssssfffffsssssssss^^^^^^^^^^^^^^^^^^^^vvvvvv/vvvvvvvf^^^^^^^^^^^^^^^^^^^^ddddd/ddddddddddddddrrrrrrrrrrrsssssssssrddddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvvrrrrrrRRRrrrrsssssssssssssssss^^^^^v|vvvvvvvvvvv^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrsssssssssssssssssssssssssssssssssssssssfffffffff/fffssssssssssssyssssssssssssssssjjj###jj/jjjjjjjrrjjjjjjrrRRRrrrsssssssssssssssssssssssssssssffffffffffffffffffffffysssssssssssssssssssssssffffssssssss^^^^^^^^^^^^^^^^^^^^^vvvvvv/vvvvvvvf^^^^^^^^^^^^^^^^^^^^^dddd/ddddddddddddddrrrrrrrrrrrrrssssssssrrdddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvvvrrrrrRRRRrrrsssssssssssssssss^^^^^v|vvvvvvvvvvf^^^^^sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrr!ssssssssyssssssssssssssssssssssssssssssssfffffff/fssssssssssssssysssssssssssssssssjjj###-+jjjjjjjrrrjjjjjjrrrRRRrrrsssssssssssssssssssssssssssssssffffffffffffffffffysssssssssssssssssssssssfffffssssss^^^^^^^^^^^^^^^^^^^^^^vvvvvv/vvvvvvvvv^^^^^^^^^^^^^^^^^^^^dddd+ddddddddrrrrddrrrrrrrrrrrrrrrssssssssrdddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvvvvrrrrRRRRrrrrssssssssssssssss^^^^^v|vvvvvvvvvvv^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssryjsssssssssssssssssssssssssssssssssssssssssssfffff/fssssssssssssssssssssssssssssssssssjjjjjj|jjjjjrrrrrjjjjjjjrrRRRrrrysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffssssss^^^^^^^^^^^^^^^^^^^^^vvvvvv/vvvvvvvf^^^^^^^^^^^^^^^^^^^^^ddddd|ddddddddrrrrrrrrrrrrrrrrrrrrrrsssssssrrddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvvvrrrrrRRRRrrrrssssssssssssssss^^^^^v|vvvvvvvvvvf^^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrjjsssssssssyssssssssssssssssssssssssssssssssssfff/fsssssssssssssssssssssssssssssssssssjjjjjj|jjjjrrrjrrjjjjjjjjrrRRRrrsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffffssss^^^^^^^^^^^^^^^^^^^^^vvvvvv/vvvvvvvvv^^^^^^^^^^^^^^^^^^^^dddddd+dddddddddrrdrrrrrrrrrrrrrrrrrrysssssssrddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvvvvrrrrrRRRrrrrsssssssssssssss^^^^^vv|vvvvvvvvvvv^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrr?jjjssssssssssssssssssssssssssssssssssssssssssssf+fssssssssysysssssssssssssssssssssssssjjjjjj|jjjrrrrjjrrjjjjjjjrrRRRrrysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffffssss^^^^^^^^^^^^^^^^^^^^^^vvvvv/vvvvvvvvvf^^^^^^^^^^^^^^^^^^^^ddddd/ddddddddddrrdrrrrrrrrrrRrrrrrrrryssssssrddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvvvrrrrrrRRRrrrrrssssssssssssss^^^^^vv|vvvvvvvvvvf^^^^^sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrjjjjsssssssssyssssssssssssssssssssssssssssssssssss|ssysssssssssssssssssssssssssssssssssjjjjjjj|rrrrrjjjjjrrj?jjjjjrrRRRrryssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffssss^^^^^^^^^^^^^^^^^^^^^vvvvv/vvvvvvvvvf^^^^^^^^^^^^^^^^^^^^ddddd+ddddddddddddddrrrrrrrrrRRRrrrrrrrsssssssrrdddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvvvvrrrrrRRRrrrrrssssssssssssss^^^^^vv+vvvvvvvvvvv^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrryjssssssssssssssssssssssssssssssssssssssssssssssss|ssssssssssssssssssssssssssssssssssssjjjjjjr=rrrjjjjjjjrrjjlljjjrrRRRrrrysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffss^^^^^^^^^^^^^^^^^^^^^^^vvvv/vvvvvvvvvf^^^^^^^^^^^^^^^^^^^^dddddd|ddddddddddddddrrrrrrrrRRRRRrrrrrrysssssssrrddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^^vvvvvvvvvvrrrrrrRRRrrrrrssssssssssssss^^^^^vvv\vvvvvvvvvf^^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrsssssssssssssssysssssssssssssssssssssssssssssssssssy|ssssssssssssssssssssssssssssssssssssjjjjjjr|jjjjjjjjjjrrllllljjjrrRRRrrssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssfffffs^^^^^^^^^^^^^^^^^^^^^^vvvv/vvvvvvvvvvv^^^^^^^^^^^^^^^^^^^ddddddd|ddddddddddddddrrrrrrrrRRRRRrrrrrrsssssssssrrdddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^^vvvvvvvvvvvrrrrrRRRrrrrrssssssssssssss^^^^^^^^^\vvvvvvvvv^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrsssssssssssssssssssysssssssssssssssssssssssssssssssss|sssssssssssssssssssssssssssssssssssjjjjjjrr|jjjjjjjjjjrllllllljjrrrRRrrrsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffs^^^^^^^^^^^^^^^^^^^^^^vvvv/vvvvvvvvvf^^^^^^^^^^^^^^^^^^^^dddddddd|ddddddddddddddrrrrrrrrRRRRRrrrrrrysssssssssrrrrrrr~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^^vvvvvvvvvvvvrrrrRRRrrrrrssssssssssssss^^^^^^^^^v+vvvvvvvf^^^^^sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrssssssssssssssssssssssssssssssssssssssssssssssssssssss|ssssssssssssssssssssssssssssssssssjjjjjjrrj|jjjjjj%jjjjjjllllljjjjrrRRrrrsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssfffffss^^^^^^^^^^^^^^^^^^^^^vvv/vvvvvvvvvf^^^^^^^^^^^^^^^^^^^^ddddddddd|ddddddddddddddrrrrrrrrRRRRRrrrrrrssssssssssddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~^^^^vvvvvvvvvvvvvrrrRRRrrrrrssssssssssssss^^^^^^^^^v|vvvvvvvv^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrysssssssssssssssssssssysssssssssssssssssssssssssssssssss|sssssssssssssssssssssssssssssssssjjjjjjrrjj|jjjjjjjjjjjllllllllljjrrRRRrryssssssssssssssssssssss%ssssssssssssssssssssssssssssssssssssssssssssssffffs^^^^^^^^^^^^^^^^^^^^^vvv/vvvvvvvvvf^^^^^^^^^^^^^^^^^^^^^ddddddddd+ddddddddddddddrrrrrrrrRRRRRrrrrrrysssssssssddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^^vvvvvvvvvvvvrrrrRRRRrrrrsssssssssssssss^^^^^^^^v|vvvvvvvf^^^^^!^!^!^sssssssssssssssssssssssssssssssssssssssssssssssssssssssssrssssssssssssssssssssssssssssssssssssssssssssssssssssssssss|ssssssssssssssssssssssssssssssssjjjjjjrrjjj|jjjjjjjjjjjjllllllljjjjrrRRrrrrsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffff^^^^^^^^^^^^^^^^^^^^vvv/vvvvvvvvv^^^^^^^^^^^^^^^^^^^^^^ddddddddd/ddddddddddddddrrrrrrrrrRRRRRrrrrrrssssssssssddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^^vvvvvvvvvvvvvrrrRRRRrrrrssssssssssssssss^^^^^^^v|vvvvvvvvf^^^^^^^^^^^!^ssssssssssssssssssssssssssssssssssrrrrrrrrssssssssssrrrysssssssssssssssssssssssysssssssssssssssssssssssssssssssss|sssssssssssssssssssssssssssssssssjjjjrjjjjj|jjjjjjjjjjjjjjlllwwjjjjjrRRRrrrysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffff^^^^^^^^^^^^^^^^^^^^^vv/vvvvvvvvvf^^^^^^^^^^^^^^^^^^^^^ddddddddd+dddddddddddddddrrrrrrrrrRRRRRrrrrrrrsssssssssddddddd~~~~~~~~~~~~~
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~~~~~~~~~~~^^^^^^^^^vvvvvvvvvvvvvvrrrrRRRRrrrsssssssssssssssssssssssssssss\vvvvvvvvvvvvvvvvvvvvvvvvvvvvsssssssssssssssssssssssssssssssssssssssssssfffff/ffffssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssfffffffffffffyssssssssssssssssssssssssssssssssssssssssssrrRRRrrrssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssdddddddddddddddddddd+dddddddddddddddddddyssssssssssssssb~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~^^^^^^^^^vvvvvvvvvvvvvrrrrrRRRRrrsssssssssssssssssssssssssssssss+vvvvvvvvvvvvvvvvvvvvvvvvvsssssssssssssssssssssssssssssssssssssssssssssffff/fffffffysssssssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrRRRRrrsssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssdddddddddddddddddddd|ddddddddddddddddddysssssssssssssssb~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^^^^vvvvvvvvvvvvvrrrrrRRrrrsssssssssssssssssssssssssssssss|vvvvvvvvvvvvvvvvvvvvvvvssssssssssssssssssyssssssssssssssssssssssssssssfff/fffffffffysssssssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrRRRRrrryssssssssssssssssssssssssssssssssssssssss^s^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^sssssssdddddddddddddddddddd|dddddddddddddddddddyssssssssssssssb~~~~~~~~~~~~~~~~b~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^^^^vvvvvvvvvvvvrrrrrrRRrrrsssssssssssssssssssssssssssssss|vvvvvvvvvvvvvvvvvvvvvsssssssssssssssssssssssssssssssssssssssssssssssffff/ffffffffffffsssssssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrRRRRrrrysssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^!^!^!^!^!^!^!^^^ssssssssssdddddddddddddddddddd|ddddddddddddddddddysssssssssssssssb~~~~~~~~~~~~~~~bhb~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvrrrrrRRrrssssssssssssssssssssssssssssssss|vvvvvvvvvvvvvvvvvvvssssssssssssssssssssssssyssssssssssssssssssssssssfff/fffffffffffffffysssssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrRRRRRrrrssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssss^ssssssssssddddddddddddddddddddd|dddddddddddddddddddyssssssssssssssb~~~~~~~~~~~~~~bhhb~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvrrrrRRrrssssssssssssssssssssssssssssssss|vvvvvvvvvvvvvvvvvsssssssssssssssssssssssssysssssssssssssssssssssssssff/ffffffffffffffffsssssssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrRRRRRrrssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^sssssssssssssssssssssssssssddddddddddddddddddddd+ddddddddddddddddddysssssssssssssssb~~~~~~~~~~~~~~bhb~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvrrrRRRrrsssssssssssssssssssssssssssssss|vvvvvvvvvvvvvvsssssssssssssssssssssssssssssysssssssssssssss+---------+fffffffffffffffffysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrRRRRRrrryssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssssssdddddddddddddddddddddd/ddddddddddddddddddddyssssssssssssssbb~~~~~~~~~~~~~bhhbb~~~~~~~~~~~~~~~
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~~~~~~~~~~~~~~~~~~~~~~~~~~^^^vvvvvvvvvvvrrrrsssssssssssssssssssssssssssssss|vvvvvvvvvvvvsssssssssssssssssssssssssssssssssssssssssssss/ssssssssssfffffffffffffffffffysssssssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrRRRrrrrrssysyssssssssssssss^s^s^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssdddddd/dddddddddddddddddddddddddddddddddddddysssssssssssssssb~~~~~~~~~~~~bh#hb~~~~~~~~~~~~~~~~
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~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^vvvvvvvrrrrrrssssssssssssssssssssssssssssss|vvvvvvvvvsss^s^^^^^^^^^^^^^^^^^^^^^^^sssssssssysssssss/ssssssssssssssssffffffffffffffsssssssssssssssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrRRRRrrsssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^sssssssssssssssssssssssssssssssdddd/ddd!d!diiiiiiiiddddddddddddddddddddddddyssssffssssssssssssbb~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^~~~~~~vvvvrrrrrssssssssssssssssssssssssssssss|vvvvvvvv^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssysssss/ssssssssssssssssssfffffffffffffyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrRRRRrsss^^^^^s^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssssssssddddd/diiiiiiiiiiiiiiiiddddddddddddddddddddddddyssssssssssssssssssbb~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvrrrrrrssssssssssssssssssssssssssssss+vvvvvvv^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssysss/sssssssssssssssssssssfffffffffffsssssssssssssssssssssssssssssyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssssdddd/diiiiiiidiiiiiiiiiiddddddddddddddddddddddyssssssssssssssssssssb~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vrrrrssssssssssssssssssssssssssssss/vvvvvvvf^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssss/sssssssssssssssssssssssfffffffffsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssssssssssddd/ddiiiiiiiiiiiiiiiiiiiiiiiidddddddddddddddddysssssssssssssssssssb~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssssssssssssssssss/vvvvvvvf^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssss/ssssssssssssssssssssssssssffffffsssssssssssssssssssssssssssssssssssyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssssssssssddd/ddiiiiiiiid!diiiiiiiiiiiiiiidddddddddddddddyssssssssssssssssssssbb~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssssssssssssssssss/vvvvvvvf^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssss/sssyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssys^s^s^^^rrrRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^!^ssssssssssssssssssssssssssssssssddd/dddiiiiiidddd!d!diiiiiiiiiiiiddddddddddddddddyssssssssssssssssssssbbbb~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssssssssssssssss+vvvvvvvv^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssss/sssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^rrrRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssssssssssdd/dddiiiiiiddddiiiiiiiiiiiiiiiiidddddddddddddddyssssssssssssssssssssssssbbbbb?~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssssssssssss^|vvvvvvvv^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvvs/sssssssssssyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss^s^s^^^^^^^^^^rrRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssssssssssdd/ddddiiiiidddddd!d!d!d!diiiiiiiiddddddddddddddddysssssssssssssssssssssssssbbbbbbbb~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssssss^^^|vvvvvvv^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^v^vvv?/sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss^s^s^^^^^^^^^^^^^^^^rrRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^sssssssssssssssssssssssssssssssssssssdd/ddddiiiiiiddddiiiiiiiidddddiiiiiddddddddddddddddssssssssssssssssssssssssssssddbbbbbb~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssss^^^^v|vvvvvvf^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvvvvv/vvsssssssssssssssssssyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss!sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^rRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^ssssssssssssssssssssssssssssssssssssssssd/ddddddiiiiddiiiiiiiid!ddddddiiiiidddddddddddddddddssssssssssssssssssssssssssdddddddbb~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssss^^^vv|vvvvvvv^^^^^^^^^^^^^^^^^^^^^^^^^^^^^?^v^vvvvvvvv/vvfssssssssssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^rRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssssssssssssssss/ddddddiiiiidiiiiiiiiiiddddiiiiid!dddddddddddddddddsssssssssssssssssssssssssssddddddddbb~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssss^^^^^vv|vvvvf^^^^^^^^^^^^^^^^^^^^^^^^^^v^v^vvvvvvvvvvvv/vvvvfssssssssssssssssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssyssssssssssssssssssssssssssssssssssssssssssssssssssssssss^s^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssssssssssssssss/dddddddd!d!ddiiiiiiiiiddddiiiiiiddddddddddddddddddddsssssssssssssssssffyssssddddddddddbb~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssss^^^^^^vv|vvvvv^^^^^^^^^^^^^^^^^^^^f^vv^vvvvvvvvvvvvvvvv/vvvvvvfssssssssssssss~~ssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^sssssssssssssssssssssssssssssssssssssssssss/sddddddddddddiiiiiiiiddddiiiiiiidddddddddddddddddddddysssssssssssssssssssssssdddddddddddb~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssss^^^^^^vvv|vvvvf^^^^^^^^^^^^^^^f^f^vvvvvvvvvvvvvvvvvvvvv/vvvvvvvv~~sssssssss~~~~ssssssssssssssssssssyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssssssssssssssssss/ssdddddddd!d!diiiiiidddddiiiiiiiiiddddddddddddddddddddsssssssssssssssssssssssddddddddddddb~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssss^^^^^^^vvv|vvvf^^^^^^vvv^vvvvvvvvvvvvvvvvvvvvvvvvvvvvvv/vvvvvv~~~~~~~~sss~~~~~~~~sssssssssssssssssssss~~ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssssssssssssssss/sssdddddddiiiiiiiiiidddddddiiiiiiiid!dddddddddddddddddddsssssssssssssssssssssssdddddddddddb~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssss^^^^^^^vvvv|vvvv^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv/vvvvf~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssssss~~~~~~sssssssssssssssssssssssssssssssssss?sssssssssssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^!^!^sssssssssssssssssssssssssssssssssssssssssss/ssssdddddddd!d!diiiiidd!d!diiiiiiiiiiiiddddddddddddddddddysssssssssssssssssssssssddddddddddbb~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^vvv+------------------------------------------+vv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~s^ssssssssss~~~~~~~~sssssssssssssssssssssssssssssssss---+---ssssssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssffffffffffsssssssssssssssss/sssssdddddddiiiiiiiiiiiiii?iiiiiiiid!d!ddddddddddddddddddddyssssssssssssssssssssssddddddddddbb~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvv|vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sss~~~~~~~~sssssssssssssssssssssssssssssssssssssss%sssssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^!^ssssssssssssssssssfffffffffffffysssssssssssssss/ssssssdddddddd!d!diiiiiid!d!diiiiiiiiiiiidddddddddddddddddddddssssssssssssssssssssssdddddddddbb~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^vvvvv|vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss^s^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^!^^^ssssssssssssssssssssffffffffffffffsssssssssssssss/sssssssdddddddiiiiidiiiiiiiiiiiiiiiidd!d!dddddddddddddddddddddddddddsssssddddddyssssssddddddddbb~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^vvvvvv|vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv~~~~~~~~~~~~~~~~~~~~~~~~~~SS~S~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^!^^^^sssssssssssssssssssssffffffffffffffysssssssssssss/ssssssssdddddddiiiiiiiiiiid!diiiiiiidddddddddddddddddddddddddddddddddyssssdddddddysssssddddddddbb~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^rs~~~~~~~~~~~~~~~^^^^^^^vvvvvv|vv?vvvvvvvvvvvvvvvvvvvvvvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSSSSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssssssssss^sssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssffffffffffffffsssssssssssss/sssssssssdddddddiiiiiiiiiiiddddiiiiiddd!d!ddddddddddddddddddddddddddddsssssdddddddssssssddddddddbb~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^rss~~~~~~~~~~~~~~~^^^^^^vvvvvv|vvvvvvvvvvvvvvvvvv~~vv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SS~~xxx~SSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^^ssssssssssssssssssssssssfffffffffffffffysssssssssss/ssssssssssdddddddiiiiiiiiiiddddiiiiiiddiiiiidddddddddddddddddddddddddddyssssdddddddysssssddddddddbbb~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^rrs~~~~~~~~~~~~~~^^^^^^vvvvvvv+vvvvvvvvvvvvv^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~xx~~~~~S~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^^^^sssssssssssssssssssssssssfffffffffffffffsssssssssss/sssssssssssdddddddiiiiiiiiiiddddiiiiidddd!d!ddddddddddddddddddddddddddddsssssdddddddsssssdddddddddbbb~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^%rs~~~~~~~~~~~~~~~^^^^^vvvvvv+vvvvvvvvvvv^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~S~~~~~S~~~~~SSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRRRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^!^^^ssssssssssssssssssssssssssssfffffffffffffffysssssssss/sssssssssssssddddddiiiiiiiiiidddiiiiiidddiiiiidddddddddddddddddddddddddddyssssdddddddyssssdddddddddbbb~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^~s~~~~~~~~~~~~~~~~^^^^^vvvvvv|vvvvvvf^^^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSS~~~~~S~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRRRRRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^!^!^sssssssssssssssssssssssssssssssssssfffffffffffffffsssssssss/ssssssssssssssddddddd!d!ddiiiiiddiiiiiidddd!d!ddddddddddddddddddddddddddddsssssdddddddssssssddddddddbbb~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^vvvvvvv|v^^^^^^^^^^^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~SSS~~~~~~~~S~~SSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRRRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssss%sssssssssss%ssssfffffffffffffffysssssss/sssssssssssssssddddddiiiiiiiiiiidiiiiiiddddddddddddddddddddddddddddddddddddysssssddddddysssssddddddddbbb~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvv+f^^^^^^^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~S~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRRRRRRRRRRRRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^sssssssssssssssssssssssssssssssssssssssssfffffffffffffffsssssss+ssssssssssssssssddddddd!d!ddiiiiiiiiiiiiidddddddddddddddddddddddddddddddddddssssssddddddssssssddddddddbbb~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvv/f^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssssssssssssssssssssssffffffffffffffssssssss|sssssssssssssssdddddddiiiiidiiiiidiiiiiiiiddddddddddddddddddddddddddddddddddysssssddddddysssssddddddddbbb~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^vvvvv/vv^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^~~~~^^^^^^RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssssssssssssssssssffffffffffffffysssssss|ssssssssssssssddddddddiiiiidiiiiiiiiiiid!dd!d!ddddddddddddddddddddddddddddddssssssddddddssssssddddddddbbb~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^vvvvv/vvv^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^~~~~~~^^^?RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssssssssssssssssssssssssssffffffffffssssssssss|sssssssssssssdddddddddiiiiidd!d!ddiiiiiiiiiiiiidddddddddddddddddddddddddddddysssssdddddsssssssddddddddbb~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~/vvv^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddddddddddddddd~~~~~~~~~~~~~~~~~~~~^!^!^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^~~~~~~~~RRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss|ssssssssssssddddddddddiiiiidiiiiiiiiiiiiiiiid!ddddddddddddddddddddddddddddddssssssddddsssssssdddddddddbb~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^?^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+vv~~^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddddddddddddddddddddddddddddddd~~~~~~~~^hhhhh~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~R^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss|sssssssssssdddddddddddiiiiidiiiiiiiiiiiiiiiiiiiiidddddddddddddddddddddddddddyssssdddyssssssssdddddddddbb~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^~~^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddddddddddddddddddddddhhhddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss|sssssssssdddddddddddddiiiiidiiiiiiiiiiiiiiiiiiiiiiddddddddddddddddddddddddddsssssddyssssssssddddddddddbbb~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dzdzzdddddddddddddddddddddhdddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssss---+---ssssssssssssssssssssssss?ssssssssssssssssssssssssssssssss|sssssssdddddddddddddddiiiiidiiiiiiiiiiiiiiiiiiiiidddddddddddddddddddddddddddyssssddssssssssdddddddddddbbb~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zdddddddddddddddddddddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^!^ssssssssssssss?ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss|sssssdddddddddddddddddiiiiidiiiiiiiiiiiiiiiiiiiiiiddddddddddddddddddddddddddsssssddyssssssddddddddddddbbbb~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zdddddddddddddddddddddddxdxddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss|ssssddddddddddddddddddd!d!ddd!diiiiiiiiiiiiiiiiiidddddddddddddddddddddddddddyssssddssssssdddddddddddddbbbbbb~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zdddddd~~~~~~~~zdzzzdddddddddddddddddddddddddddddddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssssssssssssss%sssssssssssssssssss%ssssssssssssssssssssss|ssddddddddddddddddddddiiiiidddddiiiiiiidiiiiiiiiddddddddddddddddddddddddddddsssssddyssssddddddddddddddbbbbbb~b~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zzdddddddddddd~~zzdddddddddddddddddddddddddddddxdxddddddddddddddddddddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss|sdddddddddddddddddddddd!d!d!ddd!diiiiiiiiiiiidddddddddddddddddddddddddddddddyssssddsssssddddddddddddddbbbbbb~bb~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zdd#%#ddddddddddddddddddddddddddddddddddddddxxdddddddddddddddddddddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^?ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss|ddddddddddddddddddddddiiiiiiidiiiiiiiiid!d!dddddddddddddddddddddddddddddddddsssssddyssssdddfffffffddddbbb~~~~~b~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zzz~~~~~~~~~~~~zdzzdddd#ddddddddddddddddddddddddddddddddddddddddxxdddddddddddddddddddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss|ddddddddddddddddddddddd!diiiiiiid!d!ddddddddddddddddddddddddddddddddddddddddd!d!dddsssssddffffffffddddbbb~~~~~b~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddzzzzd~~dddddddddddddddddddddddddddddddddddddddddddddddddddddxddxxxdddddddddddddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dd~~~~dddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddssssssssssfsfffffffyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssd|ddddddddddddddddddddddddiiiiiiiiiiiddddddddddddddddddddddddddddddddddddddddddddddddyssssddffffffffddddbb~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddxddddddddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddddddssssssssssffffffffffffssssssssssssssssssssssssssssssssssssssssssssssssssssssssssdd|dddddddddddddddddddddddddiiiiiiid!dddddddddddddddddddddddddddddddddddddddddddddddddsssssddffffffffddddbb~~~~~~b~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddd~~~~~~dddddd^d^ddddddddddd^d^dddddddddddddddyssssssssf?ffffffffffffffssssssssssssssssssssssssssssssssssssssssssssssssssssssddd|ddddddddddddddddddddddddddiiiiiiidddddddddddddddddddddddddiiiddddddddddddddddddddddd!d!ddfffffffffddddbbb~~~~~b~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^ddd~~~~ddddddbbbbdbbbddddddddddddddddddddddddddddddddddddddddddddddddddddddddddh!h!dddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zzdz~~~~~~~~~ddddddddddddddddddddysssssssssffffffffffffffysssssssssssssssssssssss%sssssssssssssssssssssssssssssddd|dddddddddddddddddddddddddddiiiiidddddddddddddddddddddddddiiiiiiddddddddddddddddddddddddfdfffffffffddddbbbb~~~bb~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^d%ddddddddddbb~~~~~~~~bbbdbbdddddddddddddddddddddddddddddddddddddddddddddddddddddhhhdddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddddddddddddyssssssssfffffffffffffffysssssssssssssssssssssssssssssssssssssssssssssssssssdddd|dddddddddddddddddd^^^^^^^^^^^^^ddddddddddddddddddddddddddiiiiiidddddddddddddddddddddffffffffffffffddddbbbbbb~bb~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^ddddddddddddd~~~~~~~~~~~~~~~~bbbdddddddddddddddddddddddddddddddddddddddddddddddddd!h!hdddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddddddddddsssssssssfffffffffffffffssssssssssssssssssssssssssssssssssssssssssssssssssssdddd|ddddddiiiiiidddd!d^^^^^^^^^^^^^^ddddddddddddddddddddddddiiiiiiiiddddddddddddddddddddfffffffFFfffffddddbbbbbb~bb~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddd~~~~dddd~~~~~~~~bdddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddyssssssssfffffffffffffffysssssssssssssssssssssssssssssssssssssssssssssssssssdddd|ddddddiiiiiiiddd^^^^^^^^^^^^^^^^^^^dddddddddddddddddddddiiiiiiiiddddddddddddddddddddffffffFFFfffffddddbbbbb~~b~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddd~~~~dddd~~~~~~~~ddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SS~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddddsssssssfsffffffffffffffffysssssssssssssssssssssssssssssssssssssssssssssssssssddd|ddddddiiiiiii^^^^^^^^^^^^^^^^^^^^^^^ddddddddddddddddddddiiiiiiiiddddddddddddddddddddffffffFFFffffdddddbbb~~~~b~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddd~~~~ddd~~~~~~~ddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxdddxdddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SS~S~~SS~xSSS~~~~~~~~~~~~~~~~~~~~~~dddddddddddsssssssfsfffffffffffffffssssssssssssssssssssssssssssssssssssssssssssssssssssddd|ddddddiiiiii%^^^^^^^^^^^^^^^^^^^^^^^^^ddddddddddddddddddiiiiiiiiddddddddddddddddddddffffffFFfffffdddddbbb~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddd~~~~~~~~~~~~~~~~~~~~ddddddddddddddddddddddddddddddddddddddxxxxxxddddxxxddxxddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~S~~S~xxxSS~~~~~~~~~~~~~~~~~~~~dddddddddddddsssssffffffffffffffffffffyssssssssssssssssssssssssssssssssssssssssssssssssssdd|dd^^^^^^^^^^^^^^^^^fffffffffffffff^^^^^^^^ddddddddddddddiiiiiiiiddddddddddddddddddddffffffFFfffdddddddbb~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddd~~~~dddddd~~~~~~~~~~~~~~~~~~~ddddddddddddddddddddddddddddddddxxdddxxxxdxxxxddxxxxxxxddxxddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~S~~~~~~~x~SS~~~~~~~~~~~~~~~~~~ddddddddddddddddssssssffffffffffffffffffsssssssssssssssssssssssssssssssssssssssssssssssssssdd|^^^^^^^^^^^^^^^^^^ffffffffffffffff^^^^^^^^^^^dddddddddddiiiiiiiiddddddddddddddddddddffffffFFfffdddddddbb~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddd~~~~ddddd~~~~ddd~~~~~~~~~ddddddddddddddddddddddzd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SS~SS~SS~SS~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddssssssffffffffffffffffffssssssssssssssssssssssssssssssssssssssssssssssssssdd|^^^^^^^^^^^^^^^^^^fffffffffffffffff^^^^^^^^^^^dddddddddddiiiiiidddffffffddddddddddddfffffffffffdddddddb~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^dddddddddd~~ddddddddddz~~~~~~~~~~~~ddzzddddddddddddzzzz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~S~S~SSS~~~~~~~~~~~~~~~~~~~~~~ddddddddddddddysssssffffffffffffffffffysssssssssssssssssssssssssssssssssssssssssssssssssdd|^^^^vvvvvvf^^^^^^^fffffffFFFfffffffff^^^^^^^^^^^^ddddddddiiiiiidddffffffffdddddddddddffffffffffdddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^%ddddddddddddddddddddzz~~~~~~~~~~~~~~~~~~zzddzddddddz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddddyssssssffffffffffffffffffsssssssssssssssssss###ssssssssssssssssssssssssssssdd+^^^vvvvvvvvf^^^^^^fffffffFFFFFffffffff^^^^^^^^^^^^ddddddddiiiiddddffffffffffddddddddddfffffffdddddddddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^dddddddddddddddddddzz~~~~~~~~~~~~~~~~~~~~~~~~zzzdddddz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddddddddssssfssffffffffffffffffffyssssssssssssssssss####sssssssssssssssssssssssssssd/^^^vvvvvvvvvvvvvvfffffffFFFFfffffffffffffff^^^^^^^^^dddddddddddddddfffffffffffdddddddddfffffffdddddddddb~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddddddddddz~~~~~~~~~~~~~~~~~~~~~~~~~~~~zddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddddddddssssssfsfffffffffffffffffysssssssssssssssssss#####ssssssssssssssssssssssssss/d^^vvvvvvvvvvvvvvvvffffffFFFFfffffffffffffffff^^^^^^^^ddddddddddddddfffffffffffdddddddddfffFfffdddddddddb~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddddddz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddyssssfffffffffffffffffffysssssssssssssssssssss####yssssssssssssssssssssssss/d^^vvvvvvvvvvvvvvvvvvfffFFFFffffffffffffffffffffff%^^^^^dddddddddddddffffffffffffdddddddfffFFFfffddddddddb~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zdd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddsssssssffffffffffyssssssssssssssssssssssssssss####ssssssssssssssssssssssss/sd^^vvvvvvvvvvvvvvvvvffffFFFFfffffffffffffffffffffff^^^^^^^dddddddddddffffffffffffdddddddfffFFFfffddddddddb~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddysssssssffffffffysssssssssssssssssssssssssssss####yssssssssssssssssssssss/s^^^^vvvvvvvv^vvvvvvvffffffffffffffffffffffffffffffffff^^^^^^^dddddddffffffffffffffdfdfdfffffFFFfffffddddddb~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddddssssssssfffffffffffsssssssssssssssssssssssssss###yssssssssssssssssssssss/s^^^^^vvvvvff^^^^vvvvffffffffffffffffffffffffffffffffffff^^^^^^^ddddffffffffffffffffffffffffffFFFffffffffdddd~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddddysssssssfffffffffffssssssssssssssssssssssssssssssssssssssssssssssssssss/ss^^^^^vvvvvv^^^^^vvvvvfffffffffffffffffffffffffffffffffff^^^^^^^^fffffffffffffffffffffffffffffFFFffffffffffbb~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~v+vvv~~~~~~~~~~~~~~~~~~~~~~ddd~dddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddddddsssssfssfffffffffffsssssssssssssssssssssssssssssssssssssssssssssssssss+sss^^^^vvvvvvf^^^^^^vvvfffffffffffffffffFFFFFFFFFFFFFFFffff^^^^^^^FFFFFFFFFFFfffffffffffffffffffFFFffffffbbbbb~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vv/vv~~~~~~~~~~~~~~~~~~~~~~~~~~ddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddysssssfsfffffffffffffsssssfsssssssssssssssssssssssssssssssssssssssssss|sss^^^vvvvvvvvvv^^^^ffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffF^^^^^^^FFFFFFFFFFFFFFFFFFFFFFff#######FFffbbbbbb~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^vvvv/v~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~iiiddddddddddddddsssssfffffffffffffffffsssfssssssssssssssssssssssssssssssssssssssssssss|sss^^^vvvvvvvvvf^^^^^fFFFFFF###FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF^^^^FFFFFFFFFFFFFFFFFFFFFFFFFF#######Fbbbbbb~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvv/vvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~iiiiiiidddddddddddddddssssssffffffffffffffffffsssssssssssssssssssssssssssssssssssssssssssss|sss^^^vvvvv?vvvvf^^^^FFFFFF#####FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF#########~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^vv/vvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fff~~~~ffffz~~~~~~~~~~~~~~fffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~iiiiiiiiddddddddddddddddyssssssffffffffffffffffssssssssssssssssssssssssssssssssssssssssssssss|sss^^^vvvvvvvvvvv^^^^FFFFF###?###FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF%FFFFFFFFFF#########~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^v+vvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~zz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffff~~~~~~~~~~~~~~~~~~~~ff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~iiiiiiidddddddddddddddddddsssssffffffffffffssssfsssssssssssssssssssssssssssssssssssssssssssss|sss^^^vvvvvvvvvv^^^^^FFFFF#######FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF#####fff#~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^vv|vvv~~~~~~~~~~~~~~~~~~~~~~~~~~zzxdddzssz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffff~~~~z~~~~~~~~~~~~~~~~~~~~vvffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~iiiiiiiidddddddddddddddddddddssssfffffffffffssssssfssssssssssssssssssssssssssssssssssssssssssss|sss^^^vvvvvvvf^^^^^^^FFFFF#######FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF####ff#f#~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^vv|vvv~~~~~~~~~~~~~~~~~~~~~~~~zzdxdd?dddss~~ss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~iiiiiiidddddddddddddddddddddddfysfffffffffffsssssfsssssssssssssssssssssssssssssssssssssssssssss|sss^^^^^^^^^^^^^^^^^ffFFFF#fffff#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF##fff##ff~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~?+--+vv~~~~~~~~~~~~~~~~~~~~~~~~~~~~zzddddddszzssz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~iddddddddddiiiiidddddddddddfyfffffffffffssssfssssssssssssssssssssssssssssssssssssssssssssss|sss^^^^^^^^^^^^^^^^ffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF~~~FFFFFFFFFFFFFFFFFFFFfffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~/vvvvvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zszzzssssz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddiiiiiddddddddddffffffffffffffffffsssssssssssssssssssssssssssssssssssssssssssssss|sssss%df^^^^^^^^^fffffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFF~~~~~~~~FFFFfffffffffffffffffF~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zzz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddiiiiiiddddddddddddffffffffffffssssfssssssssssssssssssssssssssssssssssssssssssssss+sssssdddf^^^^^^^fffffffffffffffffffffffffffffffffffffffffffff~~~~~~~~~~~~~~~ffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddiiiiiidddddddddddddfffffffffffdysssfssssssssssssssssssssssssssssssssssssssssssssss\ssssddddfffffffffffffffffffffffffffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~fffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~diiiiiiidddddddddddddfffffffffffddyssssssssssssssssssssssssssssssssssssssssssssssssss\sssdddfffffffffffffffffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~f~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~f%ff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddiiiiiiiiidddddddddddddfffffffffffdddddyssssssssssssssssssssssssssssssssssssssssssssssss\ssdddffffffffffffffffffffffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~iiiiiiiidddddddddddfffffffffffffdddddssssssssssssssssssssssssssssssssssssssssssssssssss\sdddffffffffffffffffffffffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvv^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~f~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~iiiiiiiiiiidddddddddffffffffffffffffddddddssssssssssssssssssssssssssssssssssssssssssssssssss\dddfffffffffffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vv?f^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~diiiiiiiiiiidddddddffffffffffffffffdddddddddssssssssssssssssssssssssssssssssssssssssssssssssss\dddffffffffffffffffffffffffffffddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~dd^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvf^^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~iiiiiiiiiidddddddffffffffffffffffffddddddddddysssssssssssssssssssssssssssssssssssssssssssssssy\ddddddfffffffffffffffffffdddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~dd^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hh~~~~~~~^^^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~diiiiiiiidddddddddfffffffffffffffffffdddddddddssssssssssssssssssssssssssssssssssssssssssssssssyy\ddddddddddddddddddddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~dddd^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhh~RRvr~~^^^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hh~~~~~~~~~~~~~~~~~~~ddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~iiiiiiiidddddddddffffffffffffffffffffdddddddddsssssssssssssssssssssssssssssssssssssssssssssssyyy\ddddddddddddddddddddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~ddd?^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhh+rRR~^^^^^^^^^^^^^^^^^~~~~~~~~~~zz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhh~~~~~~~~~~~~~~~~~dddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~iiiiidddddddddddfffffffffffffffffffffdddddddddssssssssssssssssssssssssssssssssssssssssssssssyyyd\ddddddddddddddiiidddddddddddddi~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~i~~~~~~~~~~~
~~~~~dddd^^^^~~~~~~~~~~~~~~~~~~~~~~hhhhhhhvhh|hrRRr^^^^^^^^^^!!^^^^^^~~~~~~zzdz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhh#h^^^~~~~~~~~~~~~~vrdd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~iiiiidddddddddddfffffffffffffffffffffdddddddddddyssssssssssssssssssssssssssssssssssssssssssssyyyd\ddddddddddddhiiiidddddddddddddiii~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~^^^~~~~~~~~~~~~~~^^^hrrrrrhhrrvhhh|vrRrrrrr^^^^^^!!^!^^^^~~~~~zzddddz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhh|^^^^^^~~~~~~~~~vrrrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~iiiiiidddddddddffffffffffffffffffffffffddddddddddssssssssssssssssssssssssssssssssssssssssssssssyydd\ddddddddddhhi^^ihddddddddddddddiiiiii~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~^^~~~~~~~~~~~~~~~~^^^^hrrrrrrrrvvvhv+vrrRRrrrr^^^^^^!!^^^^^~~~~~~zd?dddz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhh|f^^^~~~~~~~~~~vrrs^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~idddddddfffffffffffffFFFFfffffffffdddddddddddsssssssssssssssssssssssssssssssssssssssssssssyyydd\ddddddddddhi^!^hhddddddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddff~~~fffFFF~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^hrrrrrrrrvvvvv/vvvrRrrr^^^^^^^!!!^^^^~~~~~~~zddddzz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhh+^^^^^~~~~~~~~vrr^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddfffffffffffffFFFFFFffffffffffdddddddddddsssssssssssssssssssssssssssssssssssssssssssssyyydd\dddddddhhhi^^^iddddddddddddddddddzz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddfffff~~fFFFFF~~~~iii~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~^^^hhhrrrrrrvvvvv/vvvrrRRr^^^^^^^^!!^^^^^~~~~~~~~zzdz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhhhhf\^^~~~~~~~~~~vrr^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddfffffffffffffFFFFffffffffffffdddddddddddddyssssssssssssssssssssssssssssssssyyypppssssyyyddd\ddddddddhii^^iiiddddddddddddddddypssz~~~~~~~~~~~~~~~~~~~~~~~~ddddddd~~~~ffffff~~~FFFFf~~ii~~~~~~~i~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~^^^hhrrrrrrrrvvv/vvvvvrRrrrr^^^^^^^^^^^^~~~~~~~~~~^z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhhhff+^^~~^~~~~vvvrr^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddffffffffffffFFFffffffffffffffddddddddddddddyssssssssssssssssssssssssssffffffffffffssssyydddd\ddddddyhiiiiiiiiiiiiiiiiiidddddppsssz~~~~~~~~~~~~~~~~~~~~~~~~~iiid~~dddffpppffffFFF~~~~iii~~~~~~i~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~^^hhrrrrrrrrvvv+vvvvvvvrRRrrr^^^^^^^^^^~~~~~~~~~~^^^z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhhhfff|^^^^^vv~~vvvrr^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddffffffffffffFFFfffffffffffffffdddddddddddddddssssssssssssssssssssssssffffffffffffpfpssyydydyd\yddddyhiiii^^^^^^^ppyyFyyiyfpppssrszSS~~~~~~~~~~~~~~~~~~~~~~~~~d~~~~dffpp?pfffFFFf~~iiiihihiiii~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~^^^hrrrrrrrrrvvvvv\vvvvvfrrrRrrrr^^^^^^^^~~~~~~~~~~^^^zx~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhhhfff|^^^^^vvvvvvvrr^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffddddddddddddddddssssssssssssssssssssffffffffffffffffffppyyyyyyyy\yyyyyyyiii^ccccc^pypffffyyffFFfssrrrrS~~~~~~~~~~~~~~~~~~~~~~~~~~dddddffpppffffFFF~~iiiihhhhh~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^^^rrrrrrrrrvvvvvvv\vvvvv^rrrRrrrrr^^^^^~~~~~~~~~~^^^^z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhfff|^^!^^vvvyyvvrr?^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffdddddddddddddddddsssssssssssssssssssffffffff?fffffffffffyyyyyyyyy\yyyyyy/--=ccccc=--#FFpFppfFF#Ffysyyb~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddffffffffFFFffiiiihhhhhiii~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~^^^^^^^^rrrrrrrrvvvvvvvvv\vvvf^^^rrRrrr^^^^^~~~~~~~~~~^^^^^^z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhffff|^^!^^vvyyyvvrrf^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~v?vvvvrff~~~~~~~~~~~~zzffffff~~~~~~fffff~~~~~~~~~~f~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffdddddddddddddddddssssssssssssssssssffffffffffffffffffffyyyyyyyyyy+----/hhh^ccccc^ffffFfFpffffffffyybb~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dffffffffFFFffiiiihh^hhiii~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~^^^^^^^^rrrrrrrrvvvvvvvvvvv\vvv^^^rrrRRrr^^^^~~~~~~~~~~~~^^^^zx~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhfffff|^!^^^vvvvyyvrrd^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvvvvfffff~~~~~~ffffffffffff~~zff~~fffff~~~~~~fffffF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffFFFFFffffffffdddddddddddddddddddysssssssssssssssffffffffffffffffffffyfyfyyyyyyy\hhhhppp^^^=^^^ffFfFFppffpfppfpyyb~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fff~~FFFffiiiihh%hhii~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^^^^^rrrrrrrrrrvvvvvvvvvvv+vf^^^rrrRRRrr^^~~~~~~~~~~~~^^^^^zfffysss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffff|^^!^^^vvvyvvrrf^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fvvvrrrfffffff~~~~~~~~fffffffffffffffffffff~~~~~zffffFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffFFFFFffffffffdddddddddddddddddddsssssssssssssssffffffffffffffffffffffyfyfyfyyyyy\hpffffpph|ffffFfFfFpppppppfffffb~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddd~~~~~~~~fFfffiiiihh^hhiii~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~^^^^^^rrrrrrrrrvvvvvvvvvvv/vvv^^^^rrrRRRR~~~~~~~~~~~^^^^^^^^zffffyssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffff|^^^^^^^vvvyvrrf^^~~~~^vv~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffffff~~~~~~fffffffffffffffffffFFFf?FFFFfff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fFFFFFFFfffffffddddddddddddddddddddssssssssssssfffffffffffffffffffffffffffyfyfyyyyy\pfFFFfph+--++ffFFFpffffffffffpbb~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddffFFfffffffffiiiihhhhh~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~^^^^^^rrrrrrrrrvvvvvvvvvvv+vvvf^^^^^rrrR~~~~~~~~~~~~~^^^^^^^^ffffysssssssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhfffff+^^^^^^^vvvvvrrf^^^~^^^^vv~~~~~~~~~~~~~~~~~~~~f##fffffffffffffffffffffffff~~~~~~FFfffffffffffffffffFFFFffffFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffFFFFFFFfffffffffffffdddddddddddddddsssssssssssffffffffffffffffffffffffffyfyfyfyyCCy\pfffph/ffb+rpfffFppfffbffyfpypb~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddfFFFfffffffdiiiiihi~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~^^^^^^rrrrrrrrrvvvvvvvvvvvv|vvvv^^^^^^^r~~~~~~~~~~~~~~^^^^^^^^fzfffyssssssssssssssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhffffff\^^^^^vvvvvvrrf^^^^^^^ffff+-+~~~~~~~~~~~+===+--##fffffffffffffffff~~~~~~~~~~FFFFFffzffffffffffffffFFFff~~fFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffFFFFFFFfffffffffffffffffddddddddddddssssssss+---------------------------------------+----+yfbSrrppfffppppbrbyffppyb~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddd~~fff~~ffffdiiii~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~^^^^rrrrrrrrvvvvvvvvvvvvv|vvv^^^^^^^^^^^~~~~~~~~~~~^^^^^rrrrrrrfysssssssssssssssssssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffhhffffffff\^^^^^vvvvrrff^^^fffffff/vvv\ffffffffv/v~~~~fffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffff~~FFFff~~~~ffFFF~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffFFFFFFFfffffffffffffffffffffdddddddddssssss/ssffffffffffffffffffffffffffyfyfyyyyyyyyy\ffyffpbSSrrrrrrbbbbbrrbbbb#b~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddd~~~~f~~~~fffddiiiii~~iiiii~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^^rrrrrrrrvvvvvvvvvvvvvv+vvf^^^^^^^^^^^^~~~~~~~~~~^^RRRRRRRRrrfssssssssssslllsssssssFFFFFFFFFff~~~~~~~~~~~~~~~~~~~~ffffffhfffffffff\^vvrrrrrrrff^^jffffff+ffvvv+-+fffff/vv~~~~~~~~ffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffff~~~~~~FFFFFFfffffffffffffffffffffffddddddddyss/sssfffffffffffffffffffffffffyffyyyyyyyyyyyy\fppppbbbbrrrrrrrrrbrrrrrbb\b~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffddiiiiiiiiiiii~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^rrrrrrrrrrvvvvvvvvvvvvvv\vv^^^^^^^^^^^^f~~~~~~~~~~~~~RRrRRRrrrrssssssssllllllsssssssFFFFFFFFFFffff~~~~~~~FFFF~~~~~~fffFFFffffffffvv+rrrrrrrrrff^^jjfffff|ffvvvrrf\fff/vvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffff~~~~~~~~~~FFFFfffffffffffffffffffffffffddddddss/ssssffffffffffffffffffffffffffyyyfyyyyyyyyyyy\pfffppbrrrrrrrrrrrrrrrbyyy\bbbbbb~~~~~~~~~~~~~~~~~~~~~~~~~~~~dfffffffffdiii~~iiii~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^rrrrrrrrrvvvvvvhhhhvvvvvv\^^^!!^^^!^^^^fz~~~~~~~~~~~RRR^^rrRrrrrsssssssslllllssssssssssFsFFFFFffff~~~~~~FFFb~~~~~~ffffFffffffffffvv|rrrffffffff^^jjj^^h^|fvvvrffff+-+ffvvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffff~~~~~~~~FFFFFFFFFfffffffffffffffffffffffffffddddd/ssssssffffffffffffffffffffffffyyfyyyyyyyyyyyyyy\sffpbrrrrrrrrrrrrrrbyyyyyy\yyyyb~~~~~~~~~~~~~~~~~~~~~~~~~~~dddff~~~~fddii~~~~iiiiiii~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~SSSSrrrrrrvvvvvhhhhhhvvvvvvv+^^!!^!!^^^^fffzz~~~~~~~~^^^^^^rrRRrrrrssssssllllllllsssFFFssFsFFsFFFF~~~~FFFFFFb~~~~~~ffffffffffffffffvv|rffffffffff^^^^^^^^h+fvvvffffffff\ffvvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fff~~~~~~fffffFFFFFFFFFffffffffffffffffffffffffffffddd/yssssssfffffffffffffffffffffyffyfyyyyyyyyyyyyyyyy\ppbrrrrrrrrrrrrrrrrbybbbby\yyyyb~~~~~~~~~~~~~~~~~~~~~~~dddd~~dddd~~~ddi~~iiiiii~~i~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~SSSrrrrrrrvvvvhhhh^hhhvvvvvvv/v^^!!!^^^^ffffffzzzz^^^^^^v^^^rrrRrrrrrsssllllllllllssFFFFssssssFFFFF~~FFFFFFFFbb~~~~ffffffffffffffFffvv|vvvvfvvvvvfv^^v^^^^^h\ffffffffffff+-+vvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffFFFFFFFFFffffffffffffffffffffffffffffdd/dsssssssfffffffffffffffffffffyyffssssyyyyyyyyyyyyyy+brrrrrrrrrrrrrrrrrrbrrrrbb+bbbbb~~~~~~~~~~~~~~~~~~~~dd~~~~~~~~ddd~~dd~~~~i~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~SSSSrrrrrrvvvvhhh^^^hhhhvvvvv/v^^^!^^www^^fffFffff^^^^^vvv^^rrrrRrrssssssslllsslllssssFFFFsFFsFFFFFFFFFFFFFFFFFFb~~ffffffffffffffFFFfvv|vvvvvvvvvvvvvvvvv^^^hh\ffffffffffffff\vvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffFFFFFFFFFffffffffffffffffffffffffffffd/ddysssssssfffffffffffffffffffff?ysssssyyyyyyyyyyyyyy|rrrrrrrrrrrrrrrrrrrrrrrrrr=r~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~SSSSSrrrrrrvvvhhhh^^^hhhhvvvvv+v^^^!!^^wRR^fffFFfff^^^^vvvvv^^^rrrRrrrsssssllllllssssssFFFFFFFsFFFFFFFFFFFfFFFFFFFFFFFFFFFfffffffffFFFfvv|vvvvvvvvv%vvvvvv^^^hhhf+fFFFFFFFFFFFFF+-+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~FFFFFFFFFFFFFFFfFFfffffffffffffffffff/ddddysssssssffffffffffffffffffffyssssssssssyyyyyyyyy++rrrrrrrrrrrrrrrrrrrrrrrrrr=r~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~SSSSrrrrrvvvhh^^hh^^^hhhvvvv/v^^^^!^^^wRR^rfffFfff^^^vvvvvvvvrrrRRrrrssssrrlllllllssssFFsFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffFFFfvv|vvvvvvvvvvvvvvv^^^h^hf/fFFFFFFFFFFFFFFFFF\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~FFFFF~~FFFFF~~FFFFFFFFFFFFFFFFFFFFFFFFfffffffffffffffff/dddddsssssssssffffffffffffffffyssssssssssssssyyyyyyyy++yrrrrrrrrrrrrrrrrrrrrrrrbb#bbb~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~zz~z~~~~~SSSSrrrvvhhh^^^^^^hhhhhvvv/vh^^^^^^^^^RRRrfffffff^^^vvvvv^^vrrrRrrrrrrsrrsslslsllsssFFssFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffFFFfvv|vvvvvvvvvvvvvvf^^^h^h/ffFFFFFFFFFFFFFFFFFF+-+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffffffffd/dddddddssssssssssssssssssssssssssssssssssssssssyyyyyyyyyyrrrrrrrrrrrrrrrrrrrrrbbbffpfbbbS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~zzvvzvzzvzzSSSSSSrrvhhhhh^^^hh^hhvvv/vhh^^^^^^^rRRrrrfffffff^^vvvv^^^^^rrRRrrrssrrrsssssslssssssssssFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffFFFfvv|rf^^^^vv^^^^^^^^^^^^+ffffFFFFFFFFFFFFFFFFFFFF\F~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffffffffdd/ddddddddyssssssssssssssssssssssssssssssssssssssssyyyyyyrrrrrrrrrrrrRRrrrrrrrrrbbffFFfppbbbS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~zvvvvyyyvvvzSSSSSSSvhh^^hhh^^^^^hhvv/vvhh^^^^^^^RRRRrrffffff^^^vvvv^^^^rrRRRrrssssrssssssssssssFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFvv|rr^^^^^^^^^^ff^^^^^f|ffffff?ffffffffffffffffff+-+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~FFFFFFFFFFFFFfffffFFFFFFFFFfffffffffffffffffffffddd/ddddddddddyssssssssssssssssssssssssssssssssssssssssyyyyyrrrrrrrrrrrRrRRRRrrrrrrrbbfF#FfpbS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~zzvvvyyyvzSSSSSSSvvh^^^^h^^^^^hhhv/vvhh^^^^^^^^^RRRRRrrffff^^vvvv^^^^rrrrRRrryssssssssssssssssFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffFFFFFvv|rr^?^^^^^^fff^f^^^ff|ffffffffffffffffffffffffffff\ff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffFFFFFFFFFffffffffffffffffffffddd/ddddddddddddyssssssssssssssssssssssssssssssssssssssssyyrrrrrrrrrrrrrrRRRrRrrrrrrrrrbpFFfppbS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~zvyvzSSSSSSS~~h^^^^hh^^^^^hhv/vvvhh^^^^^^^^^^^RRRRRrrf^^^vvvv^^^^rrrrRrrrsssssssssssssssssFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF+---------+==------------------+fffffffffffffffffffffffffffff+-+f~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ff~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffff~~~~FFFFFFFFfffffffffffffffffffddd/ddddddddddddddysssssssssssssssssssssssssssssssssssssssrrrrrrrrrrrrrrRRRRRRRrrrrrrrrrbpffffbbbSrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~zvvvzSSSSSS~~~^^^^^^hh^^^^hv/vvvvhh^^^^^^^^^^^^hhRRRRr^^vvvv^^^^^rrrrrrrrysssssllssssssllsFFFFFFFFssFFFFFFFFFFFF+-+FFFFFFFFFFFFFFFF/fffFFFFFfv|rrfffffffffffffffffffffffffffffffffffffffffffffffffff\fffvvv~~~~~~~~ffff~~~~zff~~~~f~~~~~~~~~~fffff?f~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffff~~~~~~~~FFFFFFFffffffffffffffffddddd/dddddddddddddddssssssssssssssssssssssssssssssssssssssssrrrrrrrrrrrrrrrRrRRRrRrRrrrrrrbbffpbbbrrrrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~zzzSSSSSS~~~wr^^^^^^^^^hv/vvvvvh^^^^^^^^^^^^hhhhhRRRr^^vv^^^^^rrrrrrrrrrsssssslssssssslFFFFFFsssFFFFFFFFFFFFF/FFF\FFFFFFFFFFFFFF/ffffFFFFFfv|rrfffffffffffffffffffffffffffffffffffFFFFfffffffffffff+-+fvvv~xxvvvv~ff~~~~~~~fff~~ffff~~~~fffffffffFff~~~~~~~~~~~~~~~~~~~~~~~~~ffff~~~~~~~~~~fFFFFFFFFFffffffffffffffffdddd/dddddddddddddddddsssssssssssssssssssssssssssssssssssssssrrrrrrrrrrrrrrrrRRRRRRrrrrrrrrrbppbrrrrrrrrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~SSSSSS~~~^^r^^^^^^^^hv/hvvvvvv^^^^^^^^^^^^hhhhhhyRRRr^^^^^^^^rrrrrrrryssssssssssssslssFFsssssFFFFFFFFFFFFF/fFFff+----+ffFFfff/fffffFFFFFvv|rrfffffffffffffffffffffffffffffffffffffffFFffffffffffffff\vv#fffvvvvvv~ff~~zzffffffff~~fffffff~~fff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffFFFFFFFFFffffffffffffffddddd/dddddddddddddddddddssssssssssssssssssssssssssssssssssssssrrrrrrrrrrrrrrRrRRRRRRrRrRrrrrbbbbbrrrrrrrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~SSSSSS~~~^^^!^^^^^^^h/hhhvvvff^^^^^^^^^^^hhhhhhhhhRRRr^^^^^^rrrrrrrrrsssssssssssssssssssssFFFFFFFFFFFFF+-+ffffffffffff\ffFFf/ffffffFFFFFvv|rrffffffffffffffffffffffffffffffffffffffffffffffffffffffff+-+~fffvv?~~~~fffffvvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffFFFFFFFffffffffffffffddddd/ddddddddddddddddddddddysssssssssssssssssssssssssssssssssrrrrrrrrrrrrrrrrrRRRRRRRrrrrrrrrrrrrrrrrrrrrrrrrrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~SSSSS~~~^^!!^^^^^^^h+hhhvvvf^ff^^^^^^^^^hhhhhhhhh^^RRRr^^^^^rrrrrrrrssssssssssssssssssFFFssFFFFFFFFFFF/ffffffffffffffff\fff/fffffffFFFFFvv|rffffffffffffffffffffffffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~v~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffFFFFFFFfffffffffffffdddii/ddddddiiiiiiddddddddddddyssssssssssssssssssssssssssssrrrrrrrrrrrrrrrrrrRRRRRRRRRRRrRrrrrrrrrrrrrrrrrrriiiii~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~SSS~~~~^^^!^^^i^^hh|hhvvvvfff^^^^^^^^^^^hhhvhhhh^^RRRr^^^^^rrrrrrrsssxssssllsssssssssFFFFFFFFFFFFFFF/ffffffffffffffffff\f/ffffffffFFFFFvv|rfffffffff~~~~ffff~~~~~~fff~~~~~~~~ffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffFFFFFFFfffffffffffffdddi/iddddddiiiiiiddddddddddddddssssssssssssssssssssssssssssrrrrrrrrrrrrrrrrRRRrRRRRRRrRrrrrrrrrrrrrriiiiiiiiiii~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~SSSSSS~~~~~^^^^i^^hih|vvvvvvv^^^^^^^^^^^^hhhhvhhh^^^RRRr^^^^rrrrrrrrssxxssssslllssssyssFFFFFFFFFFFFFF/ffffffffffffffffffff+fffffffffFFFFFvv|rrrffff~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffFFFFFFFffffffffffffdddd/iidddddiiiiiiidddddddddddddddssssssssssssssssssssssssssssrrrrrrrrrrrrrrRRrRRRRRRRRRRrRrrrrrrrrdddiiiiiiiiii~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~SSSSS~~~~^^ii^iiiiihh|vvyvvv^^^^^^^^^^^^^^hhvhhhhh^RRRr^^^^^rrrrrrrrxxssssssxsxsxsxssssffffFFffffFFf/fffffffffffffffffffffffffffffffFFFFFvv|rffffbbf~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffFFFFFfffffffffffffddd/iiidddddiiiiiiidddddddddddddddddddddddysssssssssssssssssssrrrrrrrrrrrrrrRrRRrRRRRRRRrrrrrrrrddddddiiiiiiiii~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~SSSSS~~^^^^iiiiiiivv|yyyvvf^^^^^^^^^^^^^hhhhvhhh^^RRRr^^^^rrrrrrrrxxxyssssssxxsxssssssfffff+------+ffffffffffffffffffffffffffffffffFFFFFvv|rfbbbb~~~~~~~f~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ff~~~~fffffFFFFFfffffffffffffdd/diiidddddiiiiiiidddddddddddddddddddddddddssssssssssssssssssssrrrrrrrrrrrrrRRrRrRRrRRRRrRrrrrrrdddddiiiiiiiii~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~SSSSS~~f^^^^^iiiiivv|yyvvff^^^^^^^^^^^^^hhhvhhhh^RRRr^^^^^rrrrrrrxxxxxsssssxssxsssssssffff/fffffffffffffffffffffffffffffffffffffffFFFFFFvv|rbbbb~~~~~~ffff~~~~~~ff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fFFFFFffffffffffffdd/ddiiidddddddddiiidddddddddddddddddddddddddyssssssssssssssssssssdrrrrrrrrrrrrRRrRRRRRRRRRrrrrrrrrddddiiiiiiiii~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~SSSSSSS~vvvvvvv+-----+vvv^^^^^^^^^^^^^^^^hhhhvrrRRRRrr^^^rrrrrrrrxxxxxxsss+---+xssssssssff/ffffffF!F!FffffffffffffffffffffffffffffFFFFFFFvv|rb~~~~~~~~ffffffffffffff~~~~ffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ff~~~~~~~~~~~~~~~~~ffffffffffddd/dddiiiiiiiiidddiiiddddddd###ddddddddddddddddddddyssssssssssssdddddddrrrrrrrrrrRRRRRRRRRRrrrrrrrdrrdddiiiiiiii~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~SSSSSSSvvvyvvv/vvvvvvvvff^^^^^^^^^^^^^^^hhhhhhrrRRRRRRrr^^rrrrrrxxxxxxsss/ssxxx\xxxsxssff/ffffffff~~~~f~~ff~~fffffffffffffffffffFFfFFFFFFvv|rbb~~~~ffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffff~~~~~~~~~~~~~~ffddddd/ddddiiiiiiiiiiiiiiiddddddd###ddddddddddddddddddddsssssssssssdddddddddrrrrrrrrrrrRRRRRRRrRrrrrrrrrrrddddiiiiiii~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~SSSSSSSSvyyvv/vvvyyvvvvfff^^^^^^^^^^hh^hhhhhhhhrrRRRRRRrrrrrrrrrrxxxxsxs/s~~~~~~\xxsxxxs/fffffff~~~~~~~~~~~~~~~~~fffffffffffffffffffffFFFvv|rrbb~~ffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffff~~~~~~~~~~~~dddd/dddddiiiiiiiiiiiiiiiddddddd###ddddddddddddddddddddysssssssddddddddddddrrrrrrrrrrRrRRRRRRRRRRrrrrrrrrddddddddddz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~SSSSSSSvvvvv/vvvyyyvvvfff^^^^^^^^^^^^hhhhhhhhhhrrRRRRRRrrrrrrrrxxxxxxxs/~~~~~~~~x+-----+fffff~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffFFFFFvv|rrfbbffffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffff~~~~~~~~~ddd/ddddddddddddiiiiiiiiiddddddddddddddddddddddddddddddddddddddddddddddddddrrrrrrrrrrRRRRRRRrRRrrrrrrdddddddddddddz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~SSSSSSSSSvvv/vvvvvyvvvfffv^^^^^^^^^^^^^h^hhhhhhrrRRRRRRRRrrrrrrx+------+~~~~~~~~~~~~xxx~~~~~~ff~~~~~~~~~~~ff~~~~~~~~fffffffffffffffffFFFFFfv+vrfffffffffffffffffffff~~fffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffff~~~~ff~~d/ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddrrrrrrrrrrrRRRRRRRrrrrrrdddddddddddddiii~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~SSSSSSSSvvv/vvvvvvvvvv^^^vv^^^^^^^^^^^^^^^hhhhhrrRRRRRRRrrrrrxx/xx~~~~~~~~~~~~~~~~~~~x~~~~~~~~~~~~ff~~f~~fffffff~~fffffffffffffffffffFF~~Ff/vvrfffffffffffffffffff~~~~f~~fffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffff~~~~~~+dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddrrrrrrrrrrRRRRRrRRRRRrrrdddddddddiiiiiii~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~SSSSSSSSv+vvvvvvvvv^vv^vv^^^^^^!^^^^^^^^^hhhhrrRRRRRRRRrrxxxx/x~~~~~~~~~~~~~~~~~~~~x~~~~~~~~~~ffffffffffffffffffffFfffffffffffffffffF~~FF+vvvrfffffffffffffffffffffff~~~~~~~~fff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffff~~~~~~~~~~~~~~~~~~dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddrrrrrrrrrrRrRRRrRRRrrrrrdddddddddiiiiii~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~SSSSSSSSvv|vvvvvvv?^^^vvv^^^^^^!^^^^^hhhh^hhhh+==========+---+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zfffffffffffffffFFFFfffffffffffffffFF~~F|vvvrfffffffffffffffffffffffff~~~~~~ff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddrrrrrrrrrrrRRRRRRrRrRrrrdddddddddiiiiii~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~SSSSSSS|^^^^vv^^^^^^^^^^^^^!!^^^^hh^hh^hhh/h~RRRRRRRRR~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zfffffffffffFFFFFfffffffffffffF~~FF|vvvrffffffffffiiiiiihhhiiiiiiii~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiidddrrrrrrrrrrrrRRRRRRRrrrrrdddddddddiiiiii~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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