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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ss~~~sssssssssssss+---------------+==---------------------------+?fffppppppppppppppfffffffffffffy!ssssffffffffffffffffff#####FffvvCrrssssssssssssssrrrrRRRrrrrsssssssssssff/ffffFFFffffffFFFFFFFFfffffsssssssssssssssssssssssssssssddddddssssrvvvf~~~~~~~~~~~~~~~~~~~~~~ffff~~~~~~~~~~~~~~~~~~~~~~~~~~v^^^^^^^^llllllzzsssssppppsssszzzzliiiiiiddddddddiiiiiiiiiiddddiiiiiiddddddddd^^^^~~~~~~~~~~~~^^^^^^^v^^^^^^^^^^^^^hhiifffffyy|pppS~~~~~~~~~~~
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssss~~~~~~sss~~~~sssssxxxxxxxxxsssssssssssssrrsssffCCff^^^^^^^^^^^^^^^^^Cfffff|FFFFFFFFFFFFFFFfFffffffffffffffffffffffffffffffffffffffFFFFFFFFfffffsssssssssssssssrrrRRRRrrrsiiiii/iiiiiiiffffffFFfffffFFFFFFFFffffsssssssssssssssssssssssssssssssssssssrvvvfys~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvv^^^^^^^^^^^^^lllllllllllllllliiiiiiiiddddddddddddddddddiiiiiiddddddddd^^^^~~~~~~~~~^^^^^^^^^^^^vv^^^^^^^^^hhhyy+------+ppSSSSSphhpS~~~
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ss~~~ssssiihhihh?iihrrihhhhxxxxssssrsssffffffff^^^^^CCCvvvvvvvvvfff###cccccF#FFFFFFFFFFFFFFFFFFFFFFFFFFFCCCFFFxFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffssssss/ssssrrrRRRRRRRrrrb\vvvvvvvviiiiiffffffffffFFFFFFfffffssssssssssssssssssssssssssssssssrrvvvvvfyssssssss~~~~~~~~~~~~~~~~pppffffff~~~~z~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvf^^^^^^^^^^^^^^lllllllllllllliiiiiiiiiiiiiiiidddddiiiiiidddddddddd^^^~~~~~~~^^^^^^^^^^^^^^#####^^^^^^^hhffffffyyyy|yyyS~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sss~~~~sssssxish^^^hhrrr?xxxssssssrrsssffffffff^^^^^Cvvvvvvvvvvff+----cc+cc-----------------------------+-----x---------------------------------------+sssssrrrRRRRRRRrrrrb\vvvvvvviiiiiiiffffffffFFFFFFfffffssssssssssssssssssssssssssssssssrrvvvvvvsssssssss~~~~~~~~~~~~~~~~zzpfffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvvvvvvv^^^^^^^^llllllllllllliiiiiiiiiiiiiiiiidddiiiiiidddddddddd^^^~~~~~~~^^^^^^^^^^^^^^#####^^^^^^^^hhffffffyyy|yyyyS~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssss~sssssssxsxrrrrssssss?rrssssffffffff^^^^^CCCvvvvvvvff/fff##ccccc#FFFFFFFFFFFFFFFFFFFFFFFFFFFF|FFFFFxxFFFFFxxxFFFFFFFFFFFFFFFFFFfffffffsssssssssssrrrRsssssRRrrrbb\vvvvvvvvvvviiifffffffFFFFFFfffffsssssssssssssssssssssssssssssssrrvvvvvvfysssssss~~~~~~~~~~~~~~~~~~CCffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvvvvvvvC^^^^^^llllllllllllllliiiiiiiiiiiiiiiddiiiiiiidddddddddd^^^~~~~~~~^^^^^^^^^^^^^^^####^^^^^^^hhhffffffyyy|yyyyyS~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssss~~~~~~ssssssxsxxrrrrssssrrsssssfffffff?^^^^vvCCvvvvffff/fffff##ccc##FFFFFFFFFFFFFFFFFFFFFFFFFFFF|FFFFFFxxxxFxFFFFFFFFFFFFFFFFFFFFFFffffffsssssssssssrrrddddddRRRrrrbb\vvvvvvvvvvviifffffffFFFFFFfffffsssssssssssssssssssssssssssssssrrvvvvvvvssssssssss~~~~~~~~~~~~~~fzCCfffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvvvvvCC^^^^^^llllllllllllllllllliiiiiiiiiiiiiiiiiidddddddddd^^^^~~~~~~~^^^^^^^^^^^^^^^####^^^^^^^^hhhffffffyy|yyyyyS~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ss~~~~~~~~ssssssssxsxrrrrsrrssssssfffffff^^^^^vvvvvvvvvff/ffffff%####FFFFFFFFFFFFFFFFFFFFFFFFFFFFFF|FFFFFFxxVxxFFFFFFFFFFFFFFFFFFFFFFfffffffsssssssssssrrrddddddRRRRrrrbb\vvvvvvvvvviiiffffffFFFFFFfffffsssssssssssssssssssssssssssssrrrrvvvvvvssssssssssss~~~~~~~~~~~~ffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvCC^^^^^^lllllllllllllllllllliiiiiiiiiiiiiiiiidddddddddd^^^^~~~~~~~^^^^^^^^^^^^^^^####^^^^^^^hhhhffffffyy|yyyyS~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ss~~ss~~~~~~~~~sssssssssssxrrrrsssssfffffffff^^^^^vvvvvvffff/fffffffFFFF#FFFFFFFFFFFFFFFFFFFFFFFFFFFFFF|FFxFFFxVVVxFFFFFFFFFFFFFFFFFFFFFffffffffsssssssssssrrrddddddRRRRRrrbbb\vvvvvvvvviiiffffffFFFFFFfffffssssssssssssssssssssssssssssrrrrrvvvvvfyssssssss~~~~~~~~~~~~~~~~fffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^lllllllllllllllllllllliiiiiiiiiiiiiidddddddddd^^^^~~~~~~~^^^^^^^^^^^^^^^####^^^^^^^hhhfffffffff|yyyyfSS~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssss~~~~~~~~~sssssssssssssrrrssssssfffffffff^^^^^vvvvvffff/fffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF|FFFxxxxxVxxxFFFFFFFFFFFFFFFFFFFFffffffffssssssssssrrrrdddddddRRRRrrbbCC\vvvvvvvviiiffffffFFFFFFffffssssssssssssssssssssssssssrrrrrrrrvvvvvvsssss~~~~~~~~~~~~~~~~~~~~fffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvf^^^^^^^lllllllllllllllllllllliiiiiiiiiiiiildddddddz^^^^^~~~~~~~^^^^^^^^^^^^^^^#####^^^^^hhhhfffffffff|yyfffffS~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssrrrsssssssfffffffff^^^^^vvvvffff/ffffffffffFFFFFFFFFFFFFFFFFFFF?FFFFFFFFFFFFF|FFFFFFFxxxFxxFFFFFFFFFFFFF?FFFFFffffffffsssssssssssrrrdddddddRRRRRrrbCCC+vvvvvvvvfffffff###FFFFrfffsssssssssssssssssssssssssrrrrrrrrrrvvvvfysssss~~~~~~~~~~~~~~~~~~~~~~~~ffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~f^^^^^^^dllllllllllllllllllllliiiiiiiiiiilbbbbbbbbb^^^^^~~~~~~~^^^^^^^^^^^^^^^#####^^^^hhhhhhhhffffff|ffffffSS~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ss~ssssssssssssssrrrsssssssffffffffff^^^^^vvvvvff/ffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFF|FFFFFFFxFFFFxxFFFFFFFfFFFFFFFFFFffffffffsssssssssssrrrdddddddRRRRRrrbbbb|vvvvvvviiiffff#####FFFrfffssssssssssssssssrrrrrrrrrrrrrrrrvrrrrvfyssssssssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~f^^^^^^^lllllllllllllllllllllliiiiiiiiilllllllllll^^^^^~~~~~~^^^^^^^^^^^^^^^^v^^^^^^^^hxxhxxhhhfffff|ffffSSSSSS~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssss~ssssssssssssrrssssssssffffffffff^^^^ddddddd/dffffffffffffffffffffffffffFFFFFFFFFFFFFFFFFFF|FFFFFxxFFFFfffffffffffFFFFFFFFFFffffffffsssssssssssrrrddddddddRRRRrrrbbb|vvvvvviiifffff######Fvvfffssssssssssssssrrrrrrrrrrrrrrrrrrrrrrrrssssssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvf^^^^^^^lllllllllllllllllllllllllllllllllllllllll^^^^^~~~~~~^^^^^^^^^^^^^^^^v^^^^^^^^hxhxxxxxxxffff|ffffSSSbbpS~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sss~~ss~~ssssssssssssrrsssssssfffffffffff^^^^d?dddd+ddddffffffffffffffffffffffffddddddddddfffffffff|ffffffffffffffffffffffFFFFFFFFFFffffffffsssssssssssrrrdddddddddRRRRrrbbb|vvvvvviiffffff######Fvvfffsssssssssssssrrrrrrrrrrrrrrrrrrrrrrrrrrsssssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~v^^^^^^^^^lllllllllllllllllllllllllllllllllllllll^^^^^~~~~~~^^^^^^^^^^^^^^^^v^^^^^^^hhhhhhhhxxxffff|ffSSSSpppppS~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sss~~~~~~sssssssssssssrrsssssssfffffffffff^^^^dddddd|dddddffffffffffffffffffffffdddddddddddddfffffff|ffffffffffffffffffffffFFFFFFFFFFffffffsssssssssssssrrrdddddddddRRRRrrrbb|vvvvviiifffffff#####Fvvfffssssssssssssrrrrrrsssssssrrrrrrrrrrrsrrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~v^^^^^^^^^lllllllllllllllllllllllllllllllllllll^^^^^^~~~~~~^^^^^^^^^^^^^^^^v^^^^^^^hhxxVx##xx#hpff|fffSSppppSS~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~s~~~~~~ssssssssssssssrrsssssssfffffffff^^^^^^dddddd|dddddddddddddfffffffffffffdddddddddddddddffffff|ffffffffffffffffffffffFFFFFFFFFFffffffsssssssssssssrrrddddddddddRRRrrrrb+iiivviiifffff#ff####Fvvfffsssssssssssrrrrrrrrvvvvsssrrrrrrssrrrr~~~~~~~~~~~~ssss~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssss~~~~~~ssss~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^lllllllllllllllllllllllllllllllllll^^^^^^^~~~~~~^^^^^^^^^^^^^^^^v^^^^^^^hxxxxxx#xxhhppf|fffSSSppS~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssrrsssssssffffffff^^^^^^^dddddd|ddddddddddddddddddddffff%dddddddddddddddddfffff|ffffffffffffffffffffffFFFFFFFFFFffffffsssssssssssssrrrrddddiiidddRRRrrrii\iiiiisfffffff#fff#FFvvfffssssssssssrrrrsssssssssvvssrrssssssrrrr~~~~~~~~~ssssssssssss~~~~~~~~~~~~~~sssssssssssssssssss~~~~sss~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^lllllllllllllllllllllllllllllllll^^^^^^^~~~~~~^^^^^^^^^^^^^^^^v^^^^^^^hhxxxx##hhhpppp|ffS~~~SS~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssrrsssssssfffffffs^^^^^^^dddddd|dddddddddddddddddddddddfdddddddddddddddddddffff|ffffffffffffffffffffffFFFFFFFFFFffffffsssssssssssssrrrrddiiiiiiiddRRrrrsii\iiissfffffffffffFFvvvffssssssssssrrrrvsssssvssssss^^^^^^^^sssrrrrr~~~~~ssssssssssssssssss~~~~sssssssssssssssssssssssssSSsssssS~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^llllllllllllllllllllllllllllllll^^^^^^^^~~~~~~^^^^^^^^^^^^^^^^v^^^^^^^hhh!xxxxxpppppp|ppS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssssrrsssssssfffffff^^^^^^^^dddddd|ddddddddddddddddddddddddddddddddddddddddddddfdd|dddddddddddssfffffffffFFFFFFFFFFffffffsssssssssssssrrrdddiiiiiiiiddRRrrrssi\isssfffffffffffffvvvffsssssssssrrrrssssvvvssss^^^^^^^^^^^sssssrrrr~~~sssssssssssssssssssssssssssssssssssssssssssssSSvSvvvvvvvS~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^llllllllllllllzllllllllllllll^^^^^^^^^~~~~~~^^^^^^^^^^^^^^^^v^^^^^^^hhhhhxxxppppppp|pppSS~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssssrrsssssssfffffff^^^^^^^^dddddd|ddddddddddddddddddddddddddddddddddddddddddddddd|ddddddddddddddddffffffFFFFFFFFFFffffffssssssssssssrrrrdddiiyyyiiidddRRrrssss+ssssffffffffffffvvvffsssssssssrrrssssvvvvvvss^^^^^^^^^^^^vvvssrrrrssssssssssssssssssssssssssssssssssssssssssvvvvSSSSSvvvvvvvS~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^llllllllllldzlllllzzlllllll^^^^^^^^^^~~~~~~~~^^^^^^^^^^^^^v^^^^^^^hhhhhhhhppppppp|pppppS~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssssrrssssssffffffff^^^^^^^ddddddd|ddddddddddddddddddddddddddddddddddddddddddddddd|dddddddddddddddddddfffFFFFFFFFFFffffffssssssssssssrrrrdddiiyyyyiiiddRRrrssss|ssssffffffffffffvvvffssssssssrrrvvvvvvvvvvvss^^^^^^^^^^^^^vvvssrrrrsssssssssssssssssssssssssssssssvvvvvvvvvvvvvvvSSvvvvvvvvvvS~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^dddzzdzdzdzzdzzdddzdzddz^^^^^^^^^^^~~~~~~~^^^^^^^^^^^^^vv^^^^^^^hhvvvhhpppppppp|pppppS~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssssssrrrssssssffffffff^^^^^^?ddddddd|ddddddddddddddddddddddddddddddddddddddddddddddd|dddddddddddddddddddddfFFFFFFFFFFffffffssssssssssssrrrrdddiiiyyyiiidddRRrrsss|ssssffffffffffffv?vffssssssrrrrvvvvvvvvvvvvv^^^^^^^^^^^^^^^vvvssrrrrsssssssssvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvrrrrrrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^ddddddd^dddddddddddddd?^^^^^^^^^^~~~~~~~^^^^^^^^^^^^^v^^^^^^^^hhvvvvhlllppppp|pppSS~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssssssssssrrrsssssssffffffff^^^^^^dddddddd|dddddddddddddddddddddddddddddddddddddddiiiiiiii|iiiiiiidddddddddddddddFFFFFFFFFFffffffssssssssssssrrrrdddiiiyyyyiidddRRRrsss|sssssfffffffffffvvvfssssssrrrrvvvvvvvvvvvvvf^^^^^^^^^^^^^^^^vvssrrrssssssssssvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvrrrrrrrrrrrrrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~f^^^^^^^^^^^^^^^dddd^^ddddddddddddd^^^^^^^^^^^^~~~~~~~^^^^^^^^^^^^^v^^^^^^^^hhvvvhhllllpppp|pppS~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssssssssrrrssssssssffffffff^^^^^^!ddddddd|dddd?ddddddddddddddddddddddddddddddiiiiiiiiiiii|iiiiiiiiiiidddddddddddFFFFFFFFFFffffffssssssssssssrrrrddddiiyyyyyiiddRRRrsss|ssssssffffffffffvvvfsssssrrrrrrvvvvvvvvvvvvv^^^^^^f^^^^^^^^^vvssrrrssssssssssvvvvvvvvvvvvvvvvvvvvvvvvvrrrrrrrrrrrrrrrrrrrrrrrrrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^hhh^^ddhddddhh^^^^^^^^^^^~~~~~~~~~^^^^^^^^^^^vv^^^^^^^hhvvvvhhslllpppp|ppppS~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssfffffffssssssssssrrrssss^^^^^v^ffffff^^^^^sssssdddd|ddddddddddddddddddCddddddddddddddiiili+--------+---------+iiidddddddddFFFF###FFFffffffssssssssssssrrrrddddiiyyyyyiiddRRRrsss|ssssssffffffffffvvvfssssrrrrrrvvvvvvvvvvvvvf^^^^^vvf^^^^^^^^^vvsrrysssssssssvvvvvrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrSSS~~~~~~~~~~~~~~~~~~~~~~~f^^^^^^^^^^^^^^^^^^^^^ddddhhhdd^^^^^^^^^~~~~~~~~~~~~~~~^^^^^^^^^v^^^^^^^^hvvvvvvhhsssssss|ppppS~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssffffFfffsssssssrrrss^^^^^^?v^^ffffff^^^^%sssssdddd|dddddddddddddddddddddddddddddddiiiiii/iiiiiC^^^^^^?iiiii^i\iiiidddddddFFFF####FFffffffsssssssssssssrrrddddiiyyyyyiiddRRRrrss|ssssssffffffffffvvvfsssrrrrrrvvvvvvvvvvvvvvv^^^^^vvvf^^^^^^^^vvrrrrysssssssrrrrrrrrrrrrrrrrrrvvvvvvvvvvvvvvvvvvvvvvvvvrrrrrvvvvvvvvvvvS~~~~~~~~~~~~~~~~~~~~~~~~~f^^^^^^^^^^^^^^^^^^^^^^h##^^^^^^^^^^~~~~~~~~~~~~~~~~^^^^^^^^^v^^^^^^^^hvvvvvvhhsssssss|pppS~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssfffFFffffssssrrrss^^^^^^^^^^^^fffff^^^^^sssssssdd|ddddddddddddddddddddddddddddddiiiiii/iiii^^^^^^^^^^^^^^^^ii\iiCiidddddFFFF#####FffffffsssssssssssssrrrddddiiyyyyyiidddRRrrss|sssssssfffffffffvvvsssrrrrrrvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^rrrrrssssssrrrrrrrrrrrvvxxvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvSSSSSS~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^#%%#ddd^^^^^~~~~~~~~~~~~~~~~~^^^^^^^^^v^^^^^^^^hvvfvvvhhsssssss|sss~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssffffffssssrrrss^^^^^^^^^^^^ffffff^^^^ssssssssss|ssddddddddddddddddddddddddddddiiiii/iiiii^^^^^^^^^^^^^^^^iii\iCiidddddFFFFF####FffffffsssssssssssssrrrddddiiyyyyyiiidddRrrss|sssssssfffffffffvvvsssrrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvC^^^^^^rrrrrrsssrrrrrrrrvvvvvvxllxxvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvS~~~~~~~~~~~~~~~~~~~~~~~~~?^^^^^^^^^^^^^^^^##dd^^^^^^^~~~~~~~~~~~~~~~~~~^^^^^^^^v^^^^^^^hhvfffvvhhsssssss|ssss~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssssrrrss^^^^^^^^^vv?vvffff^^^^^^sssssssss|ssddddddddddddddddddddddddddd+----+iiiiii^^^^^^^^^^^^^^^^?iii+--------------###FfffffssssssssssssssrrrddddiiyyyyyyiidddRRrrs|ssssssssffffffffvvvssrrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvC^^^^^^rrvrvrrrrrrrrrvvvvvvvvvvxlllxvvvvvvvvvvvvvvvvvv^^^^^^^^^^^^^^^r^vvvvvvvvvvvvvvvvSSS~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~^^^^^^^^^v^^^^^^^hhvvffvvvhhssssss|sssss~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssrrrss^^^^^^^^vvvvvvfffffff^^^^^ssssssss|sssddddddddddddddddddddddddd/diiiii\iiiiiC^^^^^^^^^^^^^^^iii/iiiidddddFFFFFF###FfffffssssssssssssssrrrddddiiyyyyyyiiiddRRRrs+ssssssssffffffffvvvssrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^rrrrv?rrrrrrrvvvrvvvvvvxllllxvvvvvvvf^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvvvvvvvvSSSSS~~~~~~~~~~~~~~~~~~~~~v^^^^^^^^^^^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~^^^^^ddddddd^^^^^hhvvvvvvvhsssssss|ssss~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssssrrss^^^^^^^^vvvvvvvvffffff^^^^sssssssss|ssssfffdddddddddddddddddddd/dddiiiii\iiiiC^^^^^^^^^^^^^^^ii/iiiiddddddFFFFFF##FFfffffsssssssssssssssrrddddiiyyy?yyyiiddRRRrss\sssssssffffffffvvvsrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^vvrrrvvrrrrrrvvvvvvvvvvvxxxxvvvvvvvf^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvvvvvrvvS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^~~~~~~~~~~fffffffffff^^^^^dddd#dddd^^^^hvvvvvvvhhsssssss|ss~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssrrrss^^^^^^^vvvvvvvvfffffff^^^^^ssssssss|sssfffffdddddddddddddddddd/ddddddiiii\iiiii^^^^^^^^^^^^^ii/iiidddddddddFFFFFFFFffffffsssssssssssssssrrddddiiyyyyyyyiiddRRRrsss\sssssssffffffffsrrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^vvvrrrrrrrrvrvvvvvvvvvvvv?vvvvvvvvvv^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvvvvvvS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffff^^^^^ddd#?#ddd^^^^hhvvvvvhhssssssss|sdS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~vvb~~~~~~~~~~~~~~sssssssssrrrrs^^^^^^^^vvvvvvvvvvffffff^^^^^^sssssss|sssffffffdddddddddddddddd/dddddddddiii+------------------+iidddddddddddFFFFFFFFffffffsssssssssssssssrrddddiiyyyyyyyiiddRRRrrsss\sssssssfffffffsrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^vvvvrrrrrvvvvvvvvvvvv^^^^^^^^^^^^^^^^^^^^^vvvvvfff^^^^^ffffffffffFF^^^^^^^^^^^^^^^fvvvvvvS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffff^^^^^ddddddddd^^^^hhhhhhhhddsssssdd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~vvvvybb~~~~~~~~~~~~ssss~~~~~~~sss^^^^^^^vvvvvvvvvvfffffff^^^^^ssssssss|sssffffffddddddddddddddd/ddddddddddddddiiiiiiiiiiiiiiiiidddddddddddddddFFFFFFFFffffffsssssssssssssssrrddddiiyyyyyyyiiddRRRrrssss\sssssssssffsssrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^vvvvvrrrvvvvvvvvvvf^^^^^^^^^^^^^^^^^^^^^^vvvvvvvffffffffffffffffFFFFF^^^^^^^^^^^^^fvvvfvvvS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffff^^^^^^ddddddd^^^^^^hhhhhhdddsssssdd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~vvvvvyvvv~~~~~~~~~~~~~~~~~~~~ssss^^^^^^vvvvvvvvvvvvvvvvf^^^^^^^sssssss|sssffffffdddddddddfffff/ffdddddddddddddddddddddddddddddddddddddddddddddFFFFFFFFffffffsssssssssssssssrrrdddiiiyyyyyyiiddRRRrrrssss\ssssssssssssrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^vvvvvvvvvvvvvvvvv^^^^^^^^^^^^^^^^^^^^^^^vvvvvvvffffffffffffffffFFFFFFFFFFFFFFFFFfffvvvfSSS~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvvffffffffffffffffffffffffdd^^^^^^^^^^^^^^^^^^^dhddhdddddssssdd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~vCCvvv~~~~~~~~~~~~~~~~~~ssssss^^^^^^^vvvvvvvvvvvvvvvvv^^^^^^ssssssss|sssffffffffffsffffffff/ffffddddddddddddddddddddddddddddddddddddddddddddFFFFFFFFffffffsssssssssssssssrrrddddiiyyyyyyiiddRRRrrrsssss\ssssssssssrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^vvvvvvvvvvvvvvC^^^^^^^^^^^^^^^ffffff^^^^vvvvvvvvffffffffffffffFFFFFFFFFFFFSSSSSFFffvSSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvvvffffffffffffffffffffffffdddd^^^^^^^^^^^^^^^^^^dddddddddsssssdd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~vvvvv~~v~~~~~~~~~j~~~~~~~ssssss^^^^^vvvvvvvvvvvvvvvvvvf^^^^^^^sssssss|sssffffffffffffffffff/fffff^^^^^ddCdddddddddddddd?dddddddddddddddddddddFFFFFFFFfffffssssssssssssssssrrrrdddiiyyyiiiiiddRRRrrrssssss\sssssssssrrvv?vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^vvvvvvvvvvvvvf^^^^^^^^^^^^^^ffffffff^^^vvvvvvvvffffffffffffffFFFFFFFFFFF~~~~~~~SSSSS~~~~~~~~~~~~~~~~~~~~~~~~~rvvvvvrrrrrrrrrfffffffffffffffffffddddddd^^^^^^^^?^^^^^^^^^dddddddddsssssdd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~vz~~~~~~~~~~~~jjjj~~~~~~sssssss^^^^^vvvvvvvvvvvvvvvvvvvf^^^^^ssssssss|sssfffffffffffffffff/fffff?^^^^^^^C^ddddddddddddddddddddddddddddddddddfFFFFFFFFfffffssssssssssssssssrrrrrdddssyyiiiiiddRRRrrrrssssss\ssssssrrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^vvvvvvvvvvvf^^^^^^^^^^^?fffffffffff^^^vvvvvfffffffffffffffffFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvvvvvvrvvvvvrrrrrrrrfffffffffffffffffddddddddd^^^^^^^^^^^^^^^^^^dddddddddssssddd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~v~~~~~~~~~~~~%V^?~~~~~sssssss^^^^^vvvvvvvvvvvvvvvvvvvv^^^^^^sssssss|sssffffffffffffffff/fffffff^^^^^^^^^^dddddddddddddddddddddddddddddddfffFFFFFFFFfffffssssssssssssssssrrrrrrddiiiiiiiidddRRRRrrrrssssss\ssssrrrrrvvvvvvvvvvvvvCvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^vvvvvvvvvvf^^^^^^^^^^ffffffffffffff^^^vvvvvvfffffffffffffffFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvvvvvvvrrrrrrrrrrrrrrffffffffffffffddddddddddd^^^^^^^^^^^^^^^^^^dddddddddssssddd|ddS~~~~~~~~~~~~
~~~~~~~~~~ddd~~~~~~~~~~~~~~~~~~~~~~~~~jjjb~~~~~ssssssss^^^^vvvvvvvvvvvvvvvvvvvvf^^^^^ssssssss|sssfffffffffffffff/fffffff^^^^^^^^^^^^^^^ddddddddCdddddddddddddddfffffffFFFFFFffffffssssssssssssssssrrrrrrdddiiiiiiidddRRRrrrrrsssssss\ssrrrrrvvvvvvvvvvvvvvCvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^vvvvvvvvf^^^^^^^^^ffffffffffffffff^^^r^^^^^^^CffffffffffffFF?FFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvvvvrrrrrrrrrrrrrffffffffffffiidddiiiiiddd^^^^^^^^^^^^^^^^^^Cddddddddssssddd|ddS~~~~~~~~~~~~
~~~~~~~~~zd?d~~~~~~~~~~~~~~~~~~~~~~~~~~j~~~~~~~sssssss^^^^^v?vvvvvvvvvvvvvvvvvvv^^^^^^sssssss|ssssfffffffffffff/ffffffffC^^^^^^^^^^^^^^^^^^ddddCddddddd^^^^^^^^fffffffFFFFFFffffffssssssssssssssssrrrrrrdddddiiddddddRRRrrrrrrsssssss\srrrrvvvvvvvvvvvvvvCCCvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^vvvvvvvf^^^^^^^^ffffffffffffffffff^^^^^^^^^^^^fffffffffffFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvvrrrrrrrrrrrrffffffffffiiiidddiiiiiddd^^^^^^^^^^^^^^^^^^^ddddddddssssddd|dS~~~~~~~~~~~~~
~~~~~~~~~zdd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssss^^^^^vvvvvvvvvvvvvvvvvvvvf^^^^^ssssssss|ssssffffffffffff/fffffffffCCff^^^^^^^CCC^^^^^^^^^^^^^^^^^^^^^^^^^^ffffffFFFFFFfffffssssssssssssssssssrrrrrddddddddddddRRRRrrrrrrrsssssss+rrrvvvvvvvvvvvvvvvCCCvvvvvvvvvvvvvvvvvvvvvv?^^^^^^^^vvvvvvvv^^^^^^^fffffffffffffffffff^^^^^^^^^^^^fffffffffffFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvrrrrrrrrrrrrrffffffffffiiiidddiiiiiidd^^^^^^^^^^^^^^^^^^^dddddddsssssddd|dS~~~~~~~~~~~~~
~~~~~~~~~~zdd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssss^^^^^vvvvvvvvvvvvvvvvvvvvv^^^^^^ssssssC+---------------+ffffffffffffff^^^^^^^CCC^^^^^^^^^^^^^^^^^^^^^^^^^^ffffffFFFF?FfffffssssssssssssssssssrrrrrrdddddddddddRRRrrrrrrrrrrrrsss=rrrrvvvvvvvvvvvvvvCCCvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^vvvvvvv^^^^^^^ffffffffffffffffffff^^^^^^^^^^^ffffffffffffFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvrrrrrrrrrrrrrffffffffffiiiiidddiiiiiiddd^^^^^^^^^^^^^^^^^^^ddddddyssssddd|dS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssss^^^^^vvvvvvvvvvvvvvvvvvvvf^^^^^ssssssss|ssssffffffffffff\ffffffffffffffff^^^^CCC^^^^^^^^^^^^^^^^^^^^^^^^^^fffffffFFFFffffffssssssssssssssssrrrrrrrrRdddddddddRRRRrrrrrrrrrrrrrrr=rrrvvvvvvvvvvvvvvvCCCvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^vvvvvxx^^^^^^ffffffffffffffffffffff^^^^^^^^^ffffffffffFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvrrrrrrrrrrrrrfffffffffiiiiiidddiiiiiiddd^^^^^^^^^^^^^^^^^^^ddddddssssssdd|dS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssss^^^^Cvvvvvvvvvvvvvvvvvvvvv^^^^^^sssssss|ssssfffffffffffff\ffffffffffffffff^^^^C^^^^^^^^^^^^^^^^^^^^^^^^^^^ffffffffFFffffffssssssssssssssssrrsrrrrrrRRdddddddRRRRrrrsssssrrrrrrrr=rrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^vvvvxl^^^^^^^fffffffffffffffffffffffffffffffffffffffFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~rrrrrrrrrrrrfffffffffiiiiiidddiiiiiiddd^^^^^^^^^xx^^^^^^^^ddddddysssssdd|dS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~^vb~~~~~~~~~~~~~~ssssssssssss^^^^Cvvvvvvvvvvvvvvvvvvvv^^^^^^ssssssss|ssssfffffffffffFFF\FFFFFFffffffffffffffffff^ffwffffffffff^^^^^^^^^ffffffffffffffffsssssssssssssssrrsssrrrrrrRRdddddRRRRRrrsssssssrrrrrrR=Rrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^vvvxllllx^^^fffffffffffffffffffffffffffffffffffffffFFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~rrrrrrrrrrrfffffffffiiiiiidddiiiiiiddd^^^^^^^^xll?^^^^^^^?dddddssssssdd|dS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~?v~~~~~~~~~~~~~~sssssssssssss^^^^vvvvvvvvvvvvvvvvvvvv^^^^^^^^sssssss|ssssssfffffffffFFFF\FFFFFF?Fffffffffffffffffffrfffffffffff^^^^^^^^ffffffffffffffffssssssssssssssrrssssrrrrrrrRRRRRRRRRrrrrssssssssrrrrrr=rrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^vvxlllllx^^^ffffffffffffffffffffffffffffffffffffffFFFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~rrrrrrrrrfffffffffiiiiiiiddddiiiiiddd^^^^^^^^^xxC^^^^^^^dddddddsssssdd|dS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~b~~~~~~~~~~~~~~~sssssssssssss^^^^vvvvvvvvvvvvvvvvvvvf^^^^^^^ssssssss|sssssffffffffffFFfff\ffffFFFffffffffffffffffffrfffffffffffffff^^^^^ffffffffffffffssssssssssssssrrsssssrrrrrrrrRRRRRRRrrrrrsssssssssrrrrr=rsrvvvvvvvvvvvvvvvvvvvvvvvvvrvvvvvvvvvvvvvvvf^^^^^^^vvvlllll^^^^?ffffffffffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~rrrrrrrrffffffffdiiiiiidddddiiiiidddd^^^^^^^^^^^^^^^^^^^ddddddyssssdd|dS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssss^^^^vvvvvvvvvvvvvvvvvvvv^^^^^^^^sssssss|ssssfffffffffffffffff\ffffFFfffffffffffffffffrffffffffffffffff^^^^^ffffffffffffffsssssssssssssrrssssssssssrrrrrRRRRRRrrrrrssssssssssssss|ssrrvvvvvvvvvvvvvvvvvvvvvvvrvvvvvvvvvvvvvvvvv^^^^^^^^vvx^xx^^^^^^ffffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvrrrrfffffffffddiiiiiidddddiiiiidddd^^^^^^^^^^^^^^^^^^^ddddddsssssdd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssss^^^^vvvvvvvvvvvvvvvvvvvf^^^^^^^ssssssss|ssssfffffffffffFFFffff+fffFFfffffffffffffffffrffffffffffffffff^^^^^fffffffffffffssssssssssrrrrrssssssssssssrrrrrRRRRRrrrrrssssssssssssss|ssrrrvvvvvvvvvvvvvvvvvvvvvrvvvf###vvvvvvvvvvf^^^^^^^^vvv^^^^^^^^^ffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffsffffffffffddiiiiiidddddiiiiidddd^^^^^^^^^^^^^^^^^^^ddddddyssssdd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssss^^^^^vvvvvvvvvvvvvvvvvvf^^^^^^^sssssssss|ssssfffffffffffFFFffff|fffFFfffffffffffffffflllfffffffffffffff^^^^^^ffffffffffffsssssssrrrrsssssssssssssssssrrrrrRRRRRrrrrssssssssssssss|ssssrrvvvvvvvvvvvvvvvvvvvrvvvf#####vvvvvvvvvv^^^^^^^^vvf^^^^^^^^^fffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffdddiiiiiddddddiiiiidddd^^^^^^^^^^^^^^^^^^^^dddddsssssdd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssss^^^^^vvvvvvvvvvvvvvvvvvv^^^^^^ssssssssss|ssssffffffffffffFFFfff|fffFFffffffffffffffffllllfffffffffffffff^^^^^^ffffffffffssrrrrrrrsssssssssssssssssssssrrrrRRRRRRrrrrrrsssssssssss|ssssrrrvvvvvvvvvvvvvrrrrrvvvf#######vvvvvvvvvx^^^^^^^xvv^^^^^^^^^fffCfffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFCCC~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffdddiiiiiddddddiiiiidddd^^^^^^^^^^^^^^^^^^^^dddddyssssdd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssss^^^^^vvvvvvvvvvvvvvvvvvf^^^^^^^sssssssss|ssssssffffffffffFFFfff|fffFFffffffffffffffffjjjjjffffffffffffff^^^^^^ffffffffffsrrssssssssssssssssssssssssssssrrrrRRRRRRrrrrrrssssssssss|ssssssrrvvvvvvvvvvvrvvvvvvvvv###?###vvvvvvCvvxxxxxxxxxvvvf^^^^^^^fffC------+----FFFFFFFFFFFFFFFFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffff%ffffffffddddiiiiiddddddiiiiidddd^^^^^^^^^^^^^^^^^^^^dddddsssssdd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssss^^^^^vvvvvvvvvvvvvvvvvvvv^^^^^ssssssssss|ssssssffffffffffFFFFff|fffFFFFfffffffffffffjjjjjjjfffffffffffff^^^^^^^ffffffvvvrrsssssssssssssssssssssssssssssssrrrRRRRRRRrrrrssssssssss|ssssssrrrvvvvvvvvvrvvvvvvvvvvv#####vvvvvvvvvvx^^^xllxxvvvvvv^^^^^ffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffdddddiiiiiddddddiiiiidddd^^^^^^^^^^^^^^^^^^^^dddddyssssdd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssss^^^^vvvvvvvvvvvvvvvvvvvf^^^^^^^sssssssss|ssssssffffffffFFFFFfff|ffffFFFFFFFFFfffffffjjj?jjjffffffffffffff^^^^^^^^fffvvvrssssssssssssssssssssssssssssssssssrrrRRRRRRrrrrrsssssssss|ssssssssrvvvvvvvvrvvvvvvvvvvvvv####vvvvvvvvvvvv^^xxxx^vvvvvf^^^^^ffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffdddiiiiiiiddddddiiiiidddd^^^^^^^^^^^^^^^^^^^^dddddsssssdd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssss^^^^vvvvvvvvvvvvvvvvvvvv^^^^^^ssssssssss|ssssssffffffffFFFF+---+ffffffFFFFFFFFFfffffjjjjjjjffffffffffffff^^^^^^^^^vvrrrsssssssssssssssssssssssssssssssssssssrrrRRRRRRrrrrssssssss|ssssssssrrrvvvvvrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^x^^vvvvvv^^^^^%ffffffffffffFFFFFFFFFF~~~~FFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffddddiiiiiiiddddddiiiiidddd^^^^^^^^^^^^^^^^^^^^dddddyssssdd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssss^^^^^vvvvvvvvvvvvvvvvvvvf^^^^^sssssssssss|ssssssffffffffFFff|fffffffffffffffffffffffffjjjjjffffffffffffffffff^^^^^^rr^sssssssfffffffffffffffffffssssssssssssssrrrRRRRRrrrrssssssss|ssssssssrrrrrrrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^vvvvvf^^^^^^ffffffffffffffFFFF~~~~~~~~FFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffdddddiiiiiiidddddiiiiiidddd^^^^^^^^^^^^^^^^^^^^dddddsssssdd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssss^^^^^vvvvvvvvvvvvvvvvvvvv^^^^^^ssssssssss|sssfffffffffffFFff|ffffffffffffffffffffffffffjjjfffffffffffffffffffff^^^^?^^^^sssssfffffffffffffffffffffsssssssssssssrrrRRRRRRrrrsssssss|sssssssssrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^vvvvvv^^^^^^fffffffffffffffffFF~~~~~~FFFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffdddddiiiiiiidddddiiiiiidddd^^^^^^^^^^^^^^^^^^^^dddddyssssdd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssss^^^^^vvvvvvvvvvvvvvvvvvvf^^^^^^^sssssssss|sssfffffffffffFFff|ffffffffffffffffffffffffffffffffffffffffffffffffff^^^^^^^^^^^^ssfffffffffffffffffffffffssssssssssssrrRRRRRRrrrsssssss|ssss^^^^^^^rrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^vvvvv^^^^^^^ffffffffffffffffff~~~~~~FFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffdddddiiiiiiidddddiiiiiidddd^^^^^^^^^^^^^^^^^^^^dddddsssssdd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssss^^^^^vvvvvvvvvvvvvvvvvvvv^^^^^^ssssssssss|sssfffffffffffFFff|fffffffffffffffffffffffffffffffffffffffffffffffffvvv^^^^^^^^^^^^^sffffffffffffffffffffffssssssssssssssrRRRRRrrrssssss|ssss^^^^^^^^^rrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^vvvv^^^^^^^^^ffffffffffffffffff~~~~~~FFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffddddddiiiiidddddddiiiiiidddd^^^^^^^^^^V^^^^^^^^^dddddyssssdd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssss^^^^vvvvvvvvvvvvvvvvvvvvf^^^^^^^sssssssss|sssfffffffffffFFff|ffffffffffffffffffffffffffffffffffffffffffffffvvvrrrf^^^^^^^^^^^^^^ffffffffffffffffffffffsssssssssssssrrrRRRRrrssssss+ssss^^^^^^^^^^rrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^vvvf^^^^^^^^^ffffffffffffffff~~~~~~~FF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffffddddddiiiiiddddddiiiiiiidddd^^^^^^^^^^^^^^^^^^^^dddddsssssdd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssss^^^^vvvvvvvvvvvvvvvvvvvvv^^^^^^ssssssssss|sssfffffffffffFFff+ffffffffffffffffffffffffffffffffffffffffffffvvvrrfffff^^^^^^^^^^^^^^ssfffffff+--------+fffssssssssssssrrrRRRRRrsssssss\sss^^^^^^^^^^^rrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvs^^^^^vvvv^^^^^^^^^ffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffddddddiiiiiddddddiiiiiiddddd^^^^^^^^^^^^^^^^^^^^dddddyssssdd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssss^^^^vvvvvvvvvvvvvvvvvvvvf^^^^^^^sssssssss|sssfffffffffFFFFfff\ffffffffffffffffffffffffffffffffffffffffffvvvrffffffffff^^^^^^^^^^^^fffffff/ffffffffff\fffsssssssssssssrrRRRRRrsssssss+sss^^^^^^^^^^rrrvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^vvvvvvf^^^^^^ffffffffffffffffffFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffdddddddiiiiiddddddiiiiiiddddd^^^^^^^^^^^^^^^^^^^^^dddddydyddd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssss^^^^vvvvvvvvvvvvvvvvvvvvv^^^^^^ssssssssss|sssfffffffffFFFFffff\fffffffffffffffffffffffffffffffffffffffvvvrrfffffffffffff^^^^^^^^^^ffffff+s^^^^fffffff\fffssssssssssssrrRRRRRrrssssss|sss^^^^^^^^^^^rrrvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^vvvvvvv^^^^^^ffffffffffffffffffFFFFFFFFFFFF~~~~~~~~~~~~~~~~fffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffdddddddiiiiidddddiiiiiiiddddd^^^^^^^^^^^^^^^^^^^^dddddddddddd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssss^^^^vvvvvvvvvvvvvvvvvvvvf^^^^^^^sssssssss|ssffffffffffFFfffffff\ffffffffffffffffffffffffffffffffffvvvrrrrffffffffffffffffff^^^^^^^^^ffff|f^^^^^^^^ffff\fffssssssssssssrrRRRRrrssssss|sssss^^^^^^^^^^rrrvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^vvvvvvvv^^^^^^fffffffffffff?fffFFFFFFFFFFFFFFFF~~~~~~~~~~fffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffdddddddiiiiiiddddiiiiiiiddddd^^^^^^^^^^^^^^^^^^^^^ddddddddddd|ddS~~~~SS~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssss^^^^^vvvvvvvvvvvvvvvvvvvvv^^^^^^ssssssssss|ssffffffffffFFffffffff+ffffffFFFFFFFFFFFFFFFFFFFfffffvvvrrrffffffffffffffffffffffffff^^^^^ffff|f^^^^^^^^^^fff\ffssssssssssssrrrRRRRrrsssss|ssssss^^^^^^^^^^vvrvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^^^vvvvvvf^^^^^^ffffffffffffffffFFFFFFFFFFFFFFFFFFfff~~~~~~ffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffdddddddiiiiiidddiiiiiiiddddd^^^^^^^^^^^^^^^^^^^^^dddddddddddd|ddS~~SSS~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssss^^^^^vvvvvvvvvv?vvvvvvvvvf^^^^^^^sssssssss|ssffffffFFFFFFffffffff|FFFFFFF%rrrrrrrrrrrrrrrrrrrrrrrrrfffffffffffffffffffffffffffff^^^^^^vvv|v^^^^^^^^^^ffff+fsssssssssssssrrRRRRrrsssss|sssssss^^^^^^^^^rrrrvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^^vvvvvvv?^^^^^^fffffffffffffffFFFFFFFFFFFFFFFFFffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffdddddddiiiiiidddiiiiiiiddddd^^^^^^^^^^^^^^^^^^^^^^ddddddddddd|ddS~SSSS~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssss^^^^^vvvvvvvvvv^vvvvvvvvvv^^^^^^ssssssssss|ssffffffFFFFFFffffffFF###FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffffffffffffffffffffff^^^^^^^vv+vvvv^^^^^^^ffff|fsssssssssssssrrRRRRrrrssss|ssssssss^^^^^^^^vvrrrvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^^^vvvvvv^^^^^^^^^ffffffffffffffFFFFFFFFFFFFFFFffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffddddddddiiiiiidddiiiiiiiddddd^^^^^^^^^^^^^^^^^^^^^^ddddddddddd|ddS~SS~~S~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssss^^^^^vvvvvvvvvv^vvvvvvvvvf^^^^^^^sssssssss|sssfffffFFfffffffffFF#####FFFFFFFFFFFFFFFFFFFFFFFFFFFFFF?FFfffffffffffffffffffffffffff^^^^^^vvv\vvvv^^^^^^Cfff|fffsssssssssssrrrRRRRrrrsss|sssssssss^^^^^^^vvvrvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^^vvvvvf^^^^^^^^^ffffffffffffffFFFFFFFFFFFFFFFffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffffffffddddddddiiiiiidddiiiiiidddddd^^^^^^^^^^^^^^^^^^^^^^ddddddddddd|ddSSS~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssss^^^^vvvvvvvvvvv^vvvvvvvvvv^^^^^^ssssssssss|sssfffffFFffffffffFF#######FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffffffffffffffffff%^^^^^^vvvv\vvvvf^^^^^fff|fffsssssssssssrrrRRRRrrrsss|ssssssssss^^^^^^^vvvrvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^^^vvvvvv^^^^^^^^^ffffffffffffffFFFFFFFFFFFF?FffffFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffffffffffffdddddddddiiiiiddiiiiiiiddddd^^^^^^^^^^^^V^^^^^^^^^^ddddddddddd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sss^^^^^vvvvvvvvvvv^vvvvvvvvvf^^iii^^sssssssss|sssfffffFFfffffffffF####?##FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffffffffffffffffffffff^^^^^^^vvv+?vvv^^^^^fff|fffsssssssssssrrrRRRRrrrrss|sssssssssss^^^^^^vvvvrvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^^vvvvvvvvv^^^^^^^fffffffffffffFfffFFFFFFFFFFfffFffffffff~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffffffffffffffdddddddddiiiiiddiiiiiidddddd^^^^^^^^^^^^^^^^^^^^^^^^dddddddddd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssss^^^^^vvvvvvvvvv^V^vvvvvvvvvfiiiiissssssssss|sssssfffFFffffffffff#######FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffffffffffffffffffff^^^^^^^vvvvvvvC^^^^fff|fffsssssssssssrrrrRRRrrrrss|sssssssssss^^^^^^vvvvvrvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^vvvvvvvvvv^^^^^^^ffffffffffffffffFFFFFFFFFFffff~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffffffffffffffffffffffdddddddddiiiiidiiiiiiidddddd^^^^^^^^^^^^^^^^^^^^^^^^dddddddddd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~s^^^^^vvvvvvvvvvv^vvvvvvvvvvviiiiiisssssssss|sssssfffFFffffffffffff#ff##FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffff^^^^^^^^^^^^^^^^^^fff|fffsssssssssssrrrrRRRRrrrss|sssssssssss^^^^^^vvvvrrrrrvvvvvvvvvvvvvvvvvvv^^^^^^^^^vvvvvvvvvf^^^^^^^^ffffffffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffffffffffffffffffffffffddddddddiiiiiidiiiiiiiddddd^^^^^^^^^^^^^^^^^^^^^^^^^^ddddddddd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssss^^^^^vvvvvvvvvvv^vvvvvvvvvvfiiiiissssssssss|ssssssffFFffffffffffff|ffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffff^^^^^^^^^^^^^^^^fff|ffffsssssssssrrrrrRRRRRrrss|sssssssssss^^^^^^vvvvvrrrrrvvvvvvvvvvvvvvvvvvC^^^^^^^^vvvvvvvvvv^^^^^^^^^fffffffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffffffffffffffffffffffddddddddiiiiiidiiiiiiiddddd^^^^^^^^^^^^^^^^^^^^^^^^^dddddddddd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssss^^^^vvvvvvvvvvvvvvvvvvvvvvvv^iii^^sssssssss|ssssssffffffffffffffff|fffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffff^^^^^^^^^^^^^^^fff###fffssssssssrrrrrRRRRRrrss|sssssssssss^^^^^^vvvvrvvvrrrrrrrvvvvvvvvvvvvv^^^^^^^^^vvvvvvvvvf^^^^^^^^^^fffffffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~ffCffffffffffffffffffffffffffffffffffffffffffddddddddiiiiiiiiiiiiidddddd^^^^^^^^^^^^^V^^^^^^^^^^^^ddddddddd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvf^^^^^ssssssssss|sssssssfFFFFffffffffff|ffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffffffffffffff#####ffssssssssrrrrrrRRRRrrss|sssssssssss^^^^^^vvvvvrvvvvvvvvvrvvvvvvvvvvvf^^^^^^^^^^vvvvvvvvv^^^^^^^^^^^^fffffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffffffffffffffffffffffddddddddiiiiiiiiiiiiidddddd^^^^^^^^^^^^^^^^^^^^^^^^^^ddddddddd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvv^^^^^^sssssssss|ssssssssFFFFFFffffffff|fffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffffffffff#######fssssssrrrrrrrrrRRRrrss|sssssssssss^^^^^^vvvvvvvvvvvvvvvrvvvvvvvvvvvv^^^^^^^^^^vvvvvvvv^^^^^^^^^^^^^^fffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffffffffffffffffffffffffddddddddiiiiiiiiiiiidddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddddd|ddS~~~~~~~~~~~~
~~~~~~~~~i~~~~~~~~~~~~~~~~~vvvv~~~~~~~~~~sssssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvf^^^^^ssssssssss|sssssssssfFFFFFFFFffff|fffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffFFFFFFFFFff########fssssrrrssrrrrrrRRRRrss|sssssssssss^^^^^vvvvvvrvvvvvvvvvr?vvvvvvvvvvf^^^^^^^^^^vvvvvvv^^^^^^^^^^^^^^^^ffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffffffffffffffffffffffffddddddddiiiiiiiiiiiidddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddddddd|ddS~~~~~~~~~~~~
~~~~~~~~%ii~~~~~~~~~~~~~~vvy?vvv~~~~~~~~ssssssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvv^^^^^^sssssssss|ssssssssssffffFFFFFfff+fffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF########fsssrrssssrrrrrrRRRRrrs|ssssssssssss^^^^vvvvvvvrvvvvvvvvvrvvvvvvvvvvv^^^^^^^^^^^vvvvvf^^^^^^^^^^^^^^^^^ffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffffffffffffffffffffddddddddiiiiiiiiiiiiddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddddd|ddS~~~~~~~~~~~~
~~~~~~dii~~~~~~~~~~~~~~~~vvyyyv~~~~~~~~~~sssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvvf^^^^^ssssssssss|ssssssssssffffffFFFFfff\fffffffffffffFFFFFFFFFFFFFFFFFFFFFF?FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF########fssrrssssssssrrrRRRRrrs|ssssssssssss^^^^vvvvvvvvrvvvvvvvvvrvvvvvvvvvvv^^^^^^^^^^vvvvf^^^^^^^^^^^^^^^^^^fffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffffffffffffffffddddddddiiiiiiiiiiidddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddddd|ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~vvyyvv~~~~~~~~ssssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^sssssssss|sssssssssssffffffFFFffff\fffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF#######ffssrsssssssssrrrrRRRrrs|sssssssssss^^^^^vvvvvvvvvvvvvvvvvvvrvvvvvvvvvf^^^^^^^^^^?vv^^^^^^^^^^^^^^^^^^^^ffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffffffffffffffffffffddddddddiiiiiiiiiidddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddddd|ddS~~~~S~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvyvv~~~~~~~~ssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^ssssssssss|sssssssssssffffffFFFFFfff\fffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF#####ffvvvrsssssssssssrrRRRrrs|sssssssssss^^^^^vvvvvvvvrvvvvvvvvvvvrvvvvvvvvvf^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffddddddddiiiiiiiiiidddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddddd|ddSSS~S~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vv~~~~~~~~sssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^sssssssss|sssssssssssffffffffFFFFfff\ffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF|ffffvvvssssssssssssrRRRRrrs|ssssssssss^^^^^^vvvvvvvvvvvvvvvvvvvvvrvvvvvvvvv?^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^f~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffdddddddddddddddddddddddd^^^^^^^^^^^^^^V^^^^^^^^^^^^^^^dddddddd|ddS~SSS~S~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^ssssssssss|sssssssssssfffffffffFFFFFFF\FffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFf+fffvvvrsssssssssssssRRRRrrs|ssssssssss^^^^^^vvvvvvvvrvvvvvvvvvvvvvrvvxxxxvvv^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffffffdddddddddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddddddd+ddS~~~SSS~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~SSSSSSSS~S~~~~~~~~sssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^sssssssss|sssssssssssffffffffffFFFFFFF\FFffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfFFFFFFFFFFfff/fffvvvrssssssssssssssRRRRrrs|ssssssssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvrvxxllxvvv^^^^^^^^^^^^^^^^^^^^f~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffffffffddddddddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddddd/dddS~~~~~S~~~~~~
~~~~~~~~~~~~~~~~~~~~^^^^vvvvvv?SvRRRRrrrrsssss^^^^^vvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^ssssssssss|sssssssssssffffffffffffffffFF\FffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffffff/ffvvvrrfssssssssssssssrRRRrrs|ssssssssss^^^^^^vvvvvvvvrvvvvvvvvvvvvvvvrvxxxxvvvv^^^^^^^^^^^^^^fffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ff~~~~~~ffffffffffffffffffffffffdddddddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddddd/dddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvvfRRRRrrrrsssss^^^^^vvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^sssssssssss|sssssssssssffffffffffffffffffF\ffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffffff/fvvvrrfffssssssssssssssrRRRrrs|ssssssssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvrvvvvvvvf^^^^^^^^^^^^^ffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffddddddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddd/dddS~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~^^^^^vvvvvvvvvrRRRrrrrssss^^^^^vvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^ssssssssssss|ssssssssssssfffffffffffffffffff\ffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffffffff/ffvvvfffffssssssssssssssrRRRrrs|ssssssssss^^^^^^vvvvvvvvrrrvvvvvvvvvvvvvvvrvvvvvvv^^^^^^^^^sffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffddddddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddd/ddS~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^^^^^vvvvvvvvvRRRrrrrsss^^^^^^vvvvvvvvvvvvvvvvvvvvvv^^^^^^^^^^sssssssssss|sssssssssssssfffffffffffffffffff\ffffF?FFFFzzzFFFFFFFFFFFFFFFFFFFFFFFFFFFFF%FFFFFFFFFFFFFffffffffffffffff/fffffffffffssssssssssssssrRRRrrs|ssssssssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvrvvvvvvv^^^^^^^^fffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffdddddddddddddddddddd^^^^^^^^^^^^^^V^^^^^^^^^^^^^^^^^ddddd+ddS~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvvrRRRrrrrsss^^^^^^vvvvvvvvvvvvvvvvvvvvv^^^^^^^^^^ssssssssssss|sssssssssssssssffffffffffffffffff\ffffFFzzzllzFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffffffffff/ffffffffffffsssssssssssssrrRRRrrs|ssssssssss^^^^^^vvvvvvvvvvrvvvvvvvvvvxxxvvvvrvvvvvf^^^^^^^^SS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^v^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffdddddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddd|ddS~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvvvRRRrrrrsss^^^^^^vvvvvvvvvvvvvvvvvvvv^^^^^^^^^^sssssssssssss|sssssssssssssssssfffffffffffffffff\ffffzlllllzFFFFFFFfffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffffffff/fffffffffffffsssssssssssssrrRRRrrs|ssssssssss^^^^^vvvvvvvvvvvvvvvvvvvvxxxxxvxvvvrvvvvv^^^^^^^^S~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^v^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffCfffffffffffffffffddddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddd|dS~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvvrRRRrrrrsss^^^^^vvvvvvvvvvvvvvvvvvvvf^^^^^^^^^ssssssssssssss|ssssssssssssssssssfffffffffffffffff+---+lllll+-------+fffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffff/ffffffffffffffssssssssssssrrrRRRrrs|ssssssssss^^^^^^vvvvvvvvvvrvvvvvvvvvxxxxvvvvvvrvvvf^^^^^^^^S~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%~~~~~~~~~~~~~~~~^^^^v^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Cfffffffffffffffffddddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddd|dS~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvvvRRRrrrrsss^^^^vvvvvvvvvvvvvvvvvvvvf^^^^^^^^^sssssssssssssss|ssssssssssssssssssssffffffffffffffffffff\llz/yffffffff\ffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffff+fffffffffffffffsssssssssssssrRRRRrrs|sssssssssss^^^^^^vvvvvvvvvvrvvvvvvvvvvxvvvvvvvvrvvv^^^^^^^^S~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^v^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffdddddddd?ddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddd+S~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvvrRRRRrrrsss^^^^vvvvvvvvvvvvvvvvvvvvv^^^^^^^^ssssssssssssssss|sssssssssssssssssssssssffffffffffffffffff+-+fffffffffff\ffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffff|fffffffffffffffssssssssssssrrRRRRrrs|sssssssssss^^^^^^vvvvvvvvvvvrvvvvvvvvvvvvvvvvvvvrvvv^^^^^^S~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^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+S~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvrRRRRRrrrsss^^^^vvvvvvvvvvvvvvvvvvvv^^^^^^^^sssssssssssssssss|sssssssssssssssssssssssssssssfffffffffffffffffffffffffffff\fffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffff|FfffffffffffsssssssssssssssrrRRRrrrs|sssssssssssss^^^^^^^^^vvvvvvvrvvvvvvvxxxvvvvvvvvvvCrrrrrrrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^fCff^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffddddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd|dSSS~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvCvvvvRRRRRrrrsss^^^^vvvvvvvvvvvvvvvvvvvf^^^^^^^ssssssssssssssssss|sssssssssssssssssssssssssssssssssffffffffffffffffffffffffff\ffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffff|FfffffffffsssssssssssssssssrrRRRrrss|sssssssssssss^^^^^^^^^vvvvvvvvvvvvvvxlllxvvvvvvvvvvv^^^^^S~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^ffff^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffdddddddddddddddd^^^^^^^^^^^^^^^^V^^^^^^^^^^^^^^^^dddd|ddddSS~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^vvvCvvvRRRRRRrrrsss^^^^vvvvvvvvvvvvvvvvvvvv^^^^^^sssssssssssssssssss|ssssssssssssssssssssssssssssssssssffffffffffffffffFFFFFfffff\ffffFFFFFFFFFFFFFFFFFFFFFFFfffffffffffFF|FffffffffssssssssssssssssssrRRRRrrss|ssssssssssssss^^^^^^^^vvxxxvvrvvvvvvvxlxvvvvvvvvvvvf^^^^^S~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^fff^^^^~~~~~~~~~~~~~~~~~~fffff~~~~~~~~FFFfffffffffffffffffffffddddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddd|ddddddSS~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^vvvvvvfRRRRRRrrrsss^^^^vvvvvvvvvvvvvvvvvvvf^^^^^^^ssssssssssssssssss|ssssssssssssssssssssssssssssssssssssffffffffffffffFFFFFffffff\ffFFFFFFFFFFFFFFFFFFFFFFfffffffffffffFC|FffffffssssssssssssssssssssrRRRRrrss|sssssssssssssssss^^^^^vxllxvvvrvvvvvvvxvvvvvvvvvvvvv^^^^^S~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~fffffff~~~~FFFFFffffffffffffffffffffffdddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddd+ddddddddSS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvRRRRRRrrrsss^^^^vvvvvvvvvvvvvvvvvvvv^^^^^^sssssssssssssssssss|sssssssssssssssssssssssssssssssssssssfffffffffffffFFffffffffff\fFFFFFFFFFFFFFFFFFFFFF+---------------+ffffffsssssssssssssssssssssrRRRRrrss|ssssssssssssssssss^^^^vxllxvvvvvvvxxxvvvvvvvvvvvvvv^^^^^^S~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^~~~~~~~~~~~~~~~~fffffffff~~FFFFFFFffffffffffffffffffffffffdddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd/dddddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvfRRRRRrrrssss^^^^vvvvvvvvvvvvvvvvvvv^^^^^^ssssssssssssssssssss|sssssssssssssssssssssssssssssssssssssssfffffffffffFFfffffffffff\FFFFFFFFFFFFFFFFFFFF/FFffffffffffFFFFffffllssssssssssssssssssssssrRRRrrrss|ssssssssssssssssss^^^^vvxlxvvvrvvvxlxxvvvvvvvvvvvvf^^^^^SS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^~~~~~~~~~~~~~F#FffffffffffffFFFFFfffffffffffffffffffffffffdddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd/ddddddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvRRRRRrrrssss^^^^vvvvvvvvvvvvvvvvvvf^^^^^^^sssssssssssssssssss|sssssssssssssssssssssssssssssssssssssssffff?ffffffFFfffffffffffF\FFFFFFFFFFFFFFFFFF/FFFfffffffffFFFffffffllssssssssssssssssssssssRRRRrrrss|ssssssssssssssssss^^^^vvvxvvvvvvvvxxxxvvvvvvvvvvvvv^^^^^S~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^?^^^~~~~~~~~~~~~~~F##ffffffffffFFFFFFFfffffffffffffffffffffffffffddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddd+dddddddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvfRRRRrrrrssss^^^^vvvvvvvvvvvvvvvvvvv^^^^^^ssssssssssssssssssss|ssssssssssssssssssssssssssssssssssssssssffffffffffFFFffffffffffFF+FFFFFFFFFFFFFFFF/FFFFFffffffffFFFfffffssssssssssssssssssssssssRRRRRrrrss|sssssssssssssssss^^^^^vvvvvvvvrvvvvvvvvvvvvvvvvvvv^^^^^^^S~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~###ffffffffFFFFFFFffffffffffffffffffffffffffffdddddddd^^^^^^^^^^^^^^^V^^^^^^^^^^^^^^^^dddd|ddddddddddddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvRRRRrrrrssss^^^^vvvvvvvvvvvvvvvvvv^^^^^^^^sssssssssssssssssss|ssssssssssssssssssssssssssssssssssssssssffffffffffFFFFfffffffffFF|FFFFF?FFFFFFFFF/FFFFFFffffffffFFffffssssssssssssssssssssssssssRRRRRrrrss|sssssssssssssssss^^^^^vvvvvvvvvrvvvvvvvvvvvvvvvvvf^^^^^^^S~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~###fffffffFFFFFFFFffffffffffffffffffffffffffffdddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd|ddddddddddddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvfRRRRrrrsssss^^^^vvvvvvvvvvvvvvvvvf^^^^^^^ssssssssssssssssssss|ssssssssssssssssssssssssssssssssssssssssssfffffffffFFFfffffffffFF|FFFFFFFFFFFFFF/FFFFFFFffffffffFFffffssssssssssssssssssssssssssRRRRrrrsss|sssssssssssssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^S~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~F#######ffFFFFFFFFFffffffffffffffffffffffffffffffddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd|ddddddddddddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvvRRRRrrrsssss^^^^vvvvvvvvvvvvvvvvvv^^^^^^sssssssssssssssssssss|ssssssssssssssssssssssssssssssssssssssssssffffffffffFFFffffffffFF|FFFFFFFFFFFFF/FFFFFFFFffffffffFFffffsssssssssssssssssssssssssrRRRrrrrsss|sssssssssssssssss^^^^^vvvvvvvvvrvvvvvvvvvvvvvvvvv^^^^^^^^ssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~#####FfffFFFFFFFfffffffffffffffffffffffffffffffs^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd+ddddddddddddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvRRRRRrrrsssss^^^^vvvvvvvvvvvvvvvvvf^^^^^^^ssssssssssssssssssss|ssssssssssssssssssssssssssssssssssssssssssssffffffffFFFFfffffffFF|FFFFFFFFFFFF/FFFFFFFFFffffffffFFffffssssssssssssssssssssssssrrRRRrrr----+ssssssssssssssss^^^^^^vvvvvvvvvvrvvvvvvvvvvvvvvvf^^^^^^^^sssssSSSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffFFFFFFFffffffffffffffffffffffffffffffffs^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd/dddddddddddddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^vvvvvfRRRRrrrrsssss^^^^vvvvvvvvvvvvvvvvvv^^^^^^sssssssssssssssssssss|ssssssssssssssssssssssssssssssssssssssssssssfffffffffFFFFFffffffF|FFFFFFFFFFF/FFFFFFFFFFffffffffFFfffsssssssssssssssssssssssssrrRRRrrrsss/sssssssssssssssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^?sssssffffS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffFFFFFFFfffffffffffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd/dddddddddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvvRRRRrrrrsssss^^^^vvvvvvvvvvvvvvvvv^^^^^^ssssssssssssssssssssss|sssssssssssssssssssssssssssssssssssssssssssssffffffffffFFFffffffF|FFFF####F#yyyFFFFFFFFFffffffffFFfffsssssssssssssssssssssssssrrRRRrrsss/ssssssssssssssssss^^^^^^vvvvvvvvvvrvvvvvvvvvvvvvvv^^^^^^^^ssssssfffSSS~~SS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffFFFFFfffffffffffffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd+ddddddddddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvRRRRRrrrrsssss^^^^vvvvvvvvvvvvvvvvf^^^^^^^sssssssssssssssssssss|ssssssssssssssssssssssssssssssssssssssssssssssffffffffffFFFffffff+----#######yyFFFFFFFFfffffffffF?FfssssssssssssssssssssssssssrrRRRrrss/sssssssssssssssssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^ssssssf~SSS~SSffSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~FffffffffffffffffffFFFFfffffffffffffffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd|ddddddddddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvfRRRRRrrsssssss^^^^vvvvvvvvvvvvvvvvv^^^^^^ssssssssssssssssssssss|sssssssssssssssssssssssssssssssssssssssssssssssfffffffffFFFfffffffFFFF#######FFFFFFFFFFfffffffffFFFFFsssssssssssssssssssssssssrrRRRrrs+ssssssssssssssssssss^^^^^^vvvvvvvvvvrvvvvvvvvvvvvvvv^^^^^^^sss#sssff~~~SffffffS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffffffffffffffFFFFFFffffffffffffffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd|ddddddddddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvvRRRRRrrsssssss^^^^vvvvvvvvvvvvvvvvf^^^^^^^sssssssssssssssssssss|ssssssssssssssssssssssssssssssssssssssssssssssssfffffffffffffffffffFFFF#####FFFFFFFFFFfffffffffffffsssssssssssssssssssssssssssrrRRRrss|sssssssssssssssssss^^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^ss####sfffffffffffSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffFFFFFffffffffffffffffFFFFFFfffffffffFFfffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddd|ddddddddddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvrRRRRRrrsssssss^^^^vvvvvvvvvvvvvvvvv^^^^^^ssssssssssssssssssssss|ssssssssdddddddddddddddddssssssssssssssssssssssssssffffffffffffffffffFFFFFFfFFFFFFFFFFffffffffffffssssssssssssssssssssssssssssrrRRRrss|sssssssssssssssssss^^^^^^^vvvvvvvvvvrvvvvvvvvvvvvvf^^^^^^^^s####ssfffffffff~~~~S~~~~~~~ffff~~~~~~~~~~~~~~~~~~fffffff~~~~~~~~FffffffffffffffffFFFFFFfffffffffFFFFFFFffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddd+ddddddddddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^vvvvvRRRRRrrsssssss^^^^vvvvvvvvvvvvvvvvf^^^^^sssssssssssssssssssssss|ssssssddddddddddddddddddddddssssssssssssssssssssssssfffffffffffffffffffffffffFFFFFFFFffffffffffffsssssssssssssssssssssssssssssrrRRRrss|ssssssssssssssssss^^^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^s#|#sssffffff~~~~~~~~S~SSSSSffffffffff~~~~~~~~~ffffffff~~~~~~~~FFFFfffffffffffffffFFFFFFffffffffFFFFFFFFFFffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd/dddddddddddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvrRRRRRrssssssss^^^^vvvvvvvvvvvvvvvvv^^^^^^ssssssssssssssssssssss|sssssddddddddddddddddddddddddssssssssssssssssssssssssffffffffffffffffffffffffffFFFFfffffffffffffssssssssssssssssssssssssssssssrrRRRrss|sssss^^^^^ssssssss^^^^^^^^vvvvvvvvvvrvvvvvvvvvvvvvf^^^^^^^Css|ssssffffff~~~~~~~~~Sfffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~FFffffffffffffffFFFFFFfffffffFFFFFFFFFFFffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd/ddddddddddddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvrrRRRRRrssssssss^^^^vvvvvvvvvvvvvvvvf^^^^^sssssssssssssssssssssss|ssssdddddddddddddddddddddddddddd!ssssssssssssssssssssssfffffffffffffffffffffffffffffffffffffffssssssssssssssssssssssssssssssssrrRRRrss|sssss^^^^^^sssssss^^^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^ss|ssssffffffff~~~~~~~~ffffffffffffffffffffffffff~~~~~~~~~~~~~~FFFFFFfffffffffffffFFFFFFfffffffFFFFFFFFFFffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^d+ddddd^^^^dCddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvrrRRRRrssssssss^^^^vvvvvvvvvvvvvvvvv^^^^^^ssssssssssssssssssssss|sssddddddddddddddddddddddddddddddsssssssssssssssssssssssffffffffff?ffffffffffffffffffffffffffsssssssssssssssssssssssssssssssssrrRRRrss|sssss^^^^^^sssssss^^^^^^^vvvvvvvvvvvrvvvvvvvvvvvvvf^^^^^^^sss|ssssffffffff~~~~ffffffffffffffffffffffffffffffffff~~~~~~~~FFFFFFFFfffffffffffffFFFFFFfffffffFFFFFFFfffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^d|ddd^^^^^^d^^CddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvrrrRRRRrssssssss^^^^vvvvvvvvvvvvvvvvf^^^^^sssssssssssssssssssssss+sssdddddddddddddddddddddddddddddddssssssssssssssssssssssssfffffffffffffffffffffffffffffffffsssssssssssssssssssssssssssssssssssrrRRRrss|sssss^^^^^^sssssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^sss|ssssffffffffffffffffffffffffffffffffffffffffffffffffff~~FFFFFFFFFFfffffffffffffFFFFFFfffffffFFFFFFFfffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd|ddd^^^^^^v^^^ddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^vvvvrrRRRRrssssssss^^^^vvvvvvvvvvvvvvvvv^^^^^^sssssssssssssssssssss/|ssdddddddddddddddddddddddddddddddddsssssssssssssssssssssssssfffffffffffffffffffffffffffffsssssssssssssssssssssssssssssssssssssrrRRRrss|sssss^^^^^^ssssss^^^^^vvvvvvvvvvvvvvrvvvvvvvvvvvvv^^^^^^^ssss|ssssffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFFFFFfffffffffffffFFFFFFffffffffFFFFFFffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd|d^^^^^ddpp^^^^dddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~^^vvrrrRRRRrssssssss^^^^vvvvvvvvvvvvvvvvf^^^^^sssssssssss+---------+s|ssddddddddddddddddddddddddddddddddddsssssssssssssssssssssssssssfffffffffffffffffffffffssssssssssssssssssssssssssssssssssssssssrrRRRRrs|sssss^^^^^^ssssss^^^^^vvvvvvvvvvvvvvvrvvvvvvvvvvvf^^^^^^^ssss|ssssffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFFFFFfffffffffffffFFFFFFffffffffFFFFFFffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddd+d^^^^^d^^l^^^^dddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^^vvvrrRRRRrssssssss^^^^vvvvvvvvvvvvvvvvv^^^^^^sssssssss/?sssssssssss|sddddddd!d!dddddddddddddddddddddddddssssssssssssssssssssssssssssssssfffffffffffffsssssssssssssssssssssssssssssssssssssssssssssrrRRRRrs|sssss^^^^^^ssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^ssss|ssssffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFFFFFfffffffffffffFFFFFFffffffffFFFFFFffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^V^^^^^^^^^^^^^^dd/d^^^^^xd^d^rr^^^dddzR~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~^^vvrrrrRRRRssssssss^^^^vvvvvvvvvvvvvvvvf^^^^^sssssssss/sssssssssssss|sddddddiiiiidddddddddddddddddddddddddsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrRRRRrC+sssss^^s^^^sssss^^^^^^vvvvvvvvvvvvvvvrvvvvvvvvvvv^^^^^^^^ssss|ssssfffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFFFffffffffffffffFFFFFFfffFFFFfFFFFFFfffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd/dd^^^^^^ddd^r^rRRRRRRRR~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^^^vvrrrRRRRrsssssss^^^^vvvvvvvvvvvvvvvvv^^^^^^sssssss+ssssssssssssss|dddddddiiiiidddddddddddddddddddddddddsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrRRRrss\sssssssssssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^ssss|ssssfffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFFFfffffffffffffffFFFFffffFFFFfffffFFfffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^+ddd^^^^^^d^d^l^^^^ddddR~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^^^rrrrrRRRRrsssssss^^^^vvvvvvvvvvvvvvvvf^^^^^ssssssss|ssssssssssssss|dddddddiiiiidddddddddddddddddddddddddsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrRRRrsss\ssssssssssssss^^^^^vvvvvvvvvvvvvvvvrvvvvvvvvvvv^^^^^^^^ssss|ssssfffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFFFfffffffffffffffFFFFffffFFFFfffffFFffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^d|dd^^^^^^^^d^^^^^^^ddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^^^^rrrrrRRRrsssssss^^^^vvvvvvvvvvvvvvvvv^^^^^^sssssss|ssssssssssssss|dddddddiiiiidddddddddddddddddddddddddssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrRRRRrsss+sssssssssssss^^^^^vvvvvvvvvvvvvvvvvrvvvvvvvvvf^^^^^^^^ssss|ssssfffffffffffffffffffffffffffffffffFFFfffffffffffffffffFFFFFFFFffffffffffffffffFFfffffFFFFfffffFFffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^d|dd^^^^^^^^^^^^^^^^ddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^^^^rrrrrRRRrsssssss^^^^vvvvvvvvvvvvvvvvf^^^^^ssssssss|ssssssssssssss|dddddddiiiiidddddddddddddddddddddddddssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrRRRRRrss|ssssssssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^ssss|ssssfffffffffffffffffffffffffffff?ffFFFFFFfffffffffffffffFFFFFFFFfffffffffffffffffffffffFFFFf?fffFFffffffffffffffffC^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^d|d^^^^^^^^^^^^^^^^^ddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^^^^^rrrrRRRrrssssss^^^^vvvvvvvvvvvvvvvvv^^^^^^sssssss|sssssssssss^!^+ddddCddiiiiiddddddd!dddddddddddddddddsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrRRRRRrrss\sssssssssss^^^^^vvvvvvvvvvvvvvvvvvrvvvvvvvvvf^^^^^^^^ssss|sssssffffffffffffffffffffffffffffffffFFFFFFFFFfffffffffffFFFFFFFffffffffffffffffffffFFFFFFFFFFFfffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^V^^^^^^^^^^^^^^^dd+d^^^^^^^^^^^^^^^^^ddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^^^^^rrrrRRRrrssssss^^^^vvvvvvvvvvvvvvvvf^^^^^^^ssssss|ssssssssss^^^^^\ddddddd!d!dddddddiiiidddddddddddddddsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrRRRRrrsss\ssssssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^ssss|ssssssfffffffffffffffffffffffffffffFFFFFFFFFFFfffffffffffFFFFFFFfffffffffffffffffffffffffFFFfffFFFFfffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd/dd^^^^^^^^^^^^^^^^^dddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^rrrrRRRrrssssss^^^^vvvvvvvvvvvvvvvvv^^^^^^^^sssss|sssssssssss^^^^^+dddddiiiiiddddddiiiidddddddddddddddsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrRRRRrssss\sssssssss^^^^^vvvvvvvvvvvvvvvvvvrvvvvvvvvvf^^^^^^^^ssss|ssssssfffffffffffffffffffffffffffffFFFFFFFFFFFfffffffffffFFFFFFFfffffffffffffffffffffffffFFFFFFFFFFfffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^/ddd^^^^^^^^^^^^^^^^^dddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^^^^^rrrrRRRrrssssss^^^^vvvvvvvvvvvvvvvvf^^^^^!^ssssss|ssssssssss^^^^^^|dddddiiiiiddddddiiiidddddddddddddddssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrRRRRRrssss\ssssssss^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^ssss|ssssssfffffffffffffffffffffffffffffFFFFFFFFFFFfffffffffffFFFFFFFfffffffffffffffffffffffffFFFFFFFFFFFffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^+dddd^^^^^^^^^^^^^^^^^dddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^^^^^rrrrRRRrrrrssss^^^^^vvvvvvvvvvvvvvvv^^^^^^sssssss|sssssssss^^^^^^d|dddddiiiiiddddddiiiidddddddddddddddssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrRRRRRrrssss\sssssss^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^sssss|sssssssffffffffffffffffffffffffffffFFFFFFFFFFFfffffffffffFFFFFFFfffffffffffffffffffffffffFFFFFFFFFFFffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^|ddd^^^^^^^^^^^^^^^^^^dddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^^^^^rrrrRRRrrrrssss^^^^^vvvvvvvvvvvvvvvf^^^^^ssssssss|ssssssss^^^^^^^^|dddddiiiiiidddddiiiidddddddddddddddssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrRRRRrrrssss\ssssss^^^^^vvvvvvvvvvvvvvvvv###vvvvvvvvv^^^^^^^sssss|sssssssffffffffffffffffffffffffffffFFFFFFFFFFFfffffffffffFFFFFFffffffffffffffffffffffffffFFFFFFFFFFFffffffffffffffff^^^^^^^^^^^^^^^^^V^^^^^^^^^^^^^^^^^|ddd^^^^^^^^^^^^^^^^^dddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^^^^^rrrrRRRrrrrssss^^^^^vvvvvvvvvvvvvvvv^^^^^^sssssss|sssssss^^^^^^^^^|dddddiiiiiiiiiiiiiiidddddddddddddddssssssddddddddddddddddddddddssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrrRRRrrrssss+?+ssss^^^^^^vvvvvvvvvvvvvvv#####vvvvvvvf^^^^^^^sssss|ssssssssfffffffffffffffffffffffffffFFFFFFFFFFFfffffffffffFFFFFffffffffffffffffffffffffffffFFFFFFFFFFffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^d|ddd^^^^^^^^^^^^^^^^^^ddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^^^^^^^^^rrrrRRRrrrrrsss^^^^^vvvvvvvvvvvvvvvf^^^^^ssssssss|ssssss^^^^^^^^^d|dddddiiiiiiiiiiiiiiiddddddddddddddddddddddddddddddddddddddddddddddddddsssssssssssssssssssssssssssssssssssssssssssssssssssssssssrsrrRRRRRrsssssss\sss^^^^^^^vvvvvvvvvvvvv#######vvvvvvv^^^^^^^sssss|ssssssssffffffffffffffffffffffffFFFFFFFFFFFFFFfffffffffffFFFFFffffffffffffffffffffffffffffFFFFFFFFFFffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dd+dd^^^^^^^^^^^^^^^^^^^^dddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^^^^^^^^^rrrrRRRrrrrrssss^^^^vvvvvvvvvvvvvvvv^^^^^^sssssss|sssss^^^^^^^^^dd|ddddddiiiiiiiiiiiiiidddddddddddddddddddddddddddddddddddddddddddddddddddddddsssssssssssffffsffffffffsssssssssssfffffsssssssssssrssrrRRRRRrrsssssss\ss^^^^^^^^^vvvvvvvvvvvv######vvvvvvf^^^^^^^sssss|sssssssssffffffffffffffffffffffFFFFFFFFFFFFFFFFFfffffffffFFFFFffffffffffffffffffffffffffffFFFFFFFFFFffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^d/ddd^^^^^^^^^^^^^^^^^^^^dddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^^^^^^^^^rrrrRRRrrrrrssss^^^^^vvvvvvvvvvvvvvf^^^^^^^ssssss|ssss^^^^^^^^rddd|dddddddiiiiiiiiiiiiiddddddddddddddddddddddddddddddddddddddddddddddddddddddddddsssssssffffffffffffffffsfffffffffffffffssssssssrssssrRRRRRrrrsssssss\ss^^^^^^^^^^^vvvvvvvvvv#####vvvvvvv^^^^^^^sssss|ssssssssssffffffffffffffffffffFFFFFFFFFFFFFFFFFFFffffffffFFFFFffffffffffffffFFFFFFFFFFffffFFFFFFFFFFfffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^/dddd^^^^^^^^^^^^^^^^^^^^^ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^^^^^rrrrRRRrrrrrssss^^^^^vvvvvvvvvvvvvvv^^^^^^sssssss|sss^^^^^^^vvfddd|ddddddddd!diiiiiiiiiddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddsssssffffffffffffffffffffffffffffffffssssssssrssssrrrRRRRrrrrssssss\ss^^^^^^^^^^^^vvvvvvvvv####vvvvvvf^^^^^^^sssss|sssssssssssfffffffffffffffffffFFFFFFFFFFFFFFFFFFFffffffffFFFFFffffffffffffFFFFFFFFFFFFffffffffFFFFFffffffffffffffff^^^^^^^^^^^^#######^^^^^^^^^^^^^^+ddd^^^^^^^^^^^^^^^^^^^^^^^ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^rrrRRRRrrrrssss^^^^^vvvvvvvvvvvvvvf^^^^^^^ssssssCssss^^^^^^vvvddd|ddddddddddddddddiiiiddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddsssfffffffffffffffffffffffffffffffffsssssssrssssrrrRRRRRrrrrssssss\ss^^^^^^^^^^^^vvvvvvvvvf#vvvvvvvv^^^^^^^sssss|sssssssssssffffffffffffffffffffFFFFFFFFFFFFFFFFFffffffffffFFFfffffffffffffFFFFFFFFFFFFffffffffFFFFFffffffffffffffff^^^^^^^^^^^^#######^^^^^^^^^^^^dd|ddd^^^^^^^^^^^^^^^^^^^^^^^ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^rrRRRRrrrrssss^^^^^^vvvvvvvvvvvvvv^^^^^^sssssssssss^^^^^^^vvfddd+ddddddddddddddddiiiiddddddddddddddddddddddiiiiiiiiiiiiiiiiiiiiiiiiidddddddddddddddddsfffffffffffffffffffffffffffffffffssssssrsssssrrrRRRRRRrrrsssssss\sss^^^^^^^^^^^vvvvvvvvvvvvvvvvvf^^^^^^ssssss|sssssssssssfffffffffffffffffffffFFFFFFFFFFFFFFFfffffffffffFFFfffffffffffffFFFFFFFFFFFFFffffffffffFFffffffffffffffff^^^^^^^^^^^^#######^^^^^^^^^^^ddd|dd^^^^^^^^^^^^^^^^^^^^^^^^ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^rRRRRRrrrsssss^^^^^vvvvvvvvvvvvvf^^^^^^^!^sssssss^^^^^vvvvvvdd/dddddddddddddddddiiiiddddddddddddddddddiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiddddddddddddddffffffffffffffffffffffffffffffffffssssrsssssssrrrRRRRRRrrrsssssss\sssss^^^^^^^^vvvvvvvvvvvvvvvvf^^^^^^^ssssss|sssssssssssffffffffffffffffffffffffFFFFFFFFFFfffffffffffffFFFfffffffffffffFFFFFFFFFFFFFffffffffffffffffffffffffffff^^^^^^^^^^^^^#####^^^^^^^^^^^dddd+dd^^^^^^^^^^^^^^^^^^^^^^^^ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^rRRRRrrrsssss^^^^^vvvvvvvvvvvvvvf^^^^^^^^^!^!^!^^^^^^vvvvvfd/ddddddddddddddddddiiiiddddddddddddddddiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiddddddddddddffffffffffffffffffffffffffffffffffssssrsssssssrrrrRRRRRRrrrsssssss\ssssss^^^^^^vvvvvvvvvvvvvvvf^^^^^^^^ssssss|sssssssssssfffffffffffffffffffffffffFFFFFFFFFfffffffffffffFFFffffffffffffffFFFFFFFFFFFFffffffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd/ddd^^^^^^^^^^^^^^^^^^^^^^^^ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^RRRRrrrsssss^^^^^vvvvvvv?vvvvvvvf^^^^^^^^^^^^^^^^^^vvvvvvv/dddddddddddddddddddiiiidddddddddddddddiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiidddddddddfffffffffffffffffffffffffffffffffffffsrsssssssrrrrrrRRRRRrrrrrssssss\ssssss^^^^^^vvvvv?vvvvvvvvv^^^^^^^sssssss|sssssssssssfffffffffffffffffffffffffFFFFFFFFFfffffffffffffFFFffffffffffffffFFFFFFFFFFFFFFffffffffffffffffffffffffFF^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd/dddd^^^^^^^^^^^^^^^^^^^^^^^^ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^rRRRrrrssssss^^^^vvvvvvvvvvvvvvvv^^^^^^^^^^^^^^^^^^vvvvvv/ddddddddddddddddddddiiiiddddddddddddddddiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiidddddddddffffffffffffffffffffffffffffffffffffffrsssssssssrrrrrrRRRRRRRrrrssssss\ssssss^^^^^^vvvvvvvvvvvvv^^^^^^^ssssssss|ssssssssssssfffffffffffffff###ffffffFFFFFFFFFffffffffffffffFfffffffffffffffffFFFFFFFFFFFFFFffffffffffffffffffffffFF^^^^^^^^^^^^^^^^^^^^^^^^^^dddd+ddddd^^^^^^^^^^^^^^^^^^^^^^^^ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^ssrRRRrrrssssss^^^^^vvvvvvvvvvvvvvf^^^^^^^^^^^^^^^^vvvvvvv+vddddddddddddddddddddiiiiddddddddddddddddddiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiidddddddddddffffffffffffFFFFFfffffffffffffffffflllffssssssssrssrrrrRRRRRRRrrrssssss\sssss^^^^^^vvvvvvvvvvvv^^^^^^^sssssssss|ssssssssssssffffffffffffff#####fffffFFFFFFFFFfffffFFFFFFFFFFFFfffffffffffffffFFFFFFfffFFFFFffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddd|ddddd^^^^^^^^^^^^^^^^^^^^^^^^ddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^rRRRrrrssssss^^^^^vvv?vvvvv?vvvvv^^^^^^^^^?vvvvvvvvvvvvvv\ddddddddddddddddddddiiiiddddddddddddddddddddddiiiiiiiiiiiiiiiiiiiiiiiiiidddddddddddddddffffffffffffF?FFFFFFFFFFFFffffffffffllffssssssssrsssrrrrRRRRRRrrrrrsssss\ssss^^^^^^vvvvvvvvvvv^^^^^^^^sssssssss|ssssssssssssfffffffffffff#######ffffFFFFFFFFFfFFFFFFFFFFFFFFFFFFFFfffffffffffffFFFFfffFFFFFffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddd|ddddd^^^^^^^^^^^^^^^^^^^^^^^ddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^rRRRRrrssssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv\dddddddddddddddddddiiiidd^^^^^^^^^^^^dddddddddddddddddddddddddddddddddddddddddddddddffffffffffffffFFfffFFFFFFFFFFFffffffffffffffssssssrssssrrrrrRRRRRRrrrssssss+ssss^^^^^vvvvvvvvvv^^^^^^^^sssssssssy|ssssssysssssfffffffffffffffff###ffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffffFFFFffffffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddd|ddddd^^^^^^^^^^^^^^^^^^^^^^^ddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^rrRRRRrrrsssss^^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv\ddddddddddddddddddiiiid^^^^^^^^^^^^^^^dddddddddddddddddddddddddddddddddddddddddddffffffffffffffffFFffffffffffffffffffffffffffffssssssrssssssrrrrRRRRRRrrrsssss|sssss^^^^vvvvvvvvvf^^^^^^^sssssssysss|sssssssssssssffffffffffffffffff#ffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffFFffffffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddddd+ddddd^^^^^^^^^^^^^^^^^^^^^^dddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^rrRRRRrrrssssss^^^^^vvvvv?vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvff+dddddddfdfdddddddiiiid^^^^^^^^^^^^^^^^^ddddddddddddddddddddddddddddddddddddddfffffffffffffffffffFFffffffffffffffffffsffffffffffsssssrrsssssrrrrRRRRRRRrrrssss+sssss^^^^^vvvvvvvf^^^^^^^sssssssyssss|sssssssssssssfffffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffFFfffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^r^dddddd/dddddd^^^^^^^^^^^^^^^^^^^^^^ddS~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^rrrrRRRrrrssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvffffff/ffddddddfffdddddddiiiid^^^^^^^^^^^^^^^^^^^^^CddddddddddddddddddddddddddddffffffffffffffFFFFFFFFFFFFffffffffffFfffffffffffffffffffsssssrssssssrrrrrRRRRRRrrrssss\ssss^^^^^vvvvvvvv^^^^^^^ssssssysssss|ssssssssssssssfffffffffffffffffffffffFFFFFFFFFFFFFFF?FFFFFFFFFFFFFFFFFFffffffffFFFffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvddddd/ddddddd^^^^^^^^^^^^^^^^^^^^^^ddS~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^rrrrrRRRrrrsssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvvvvvvffffffffff/fffffffffffffddddddiiiid^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ddddddddddddddfffffffffffffffffffffFFFFFFFFFFFFfffffffffFFFFffffffffffffffffffffssrsssssssrrrrrRRRRRRrrrssss\sss^^^^^^vvvvvvf^^^^^^ssssssyssssss|ssssssssssssssfffffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffFFFffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvfdddd/dddddddd^^^^^^^^^^^^^^^^^^^^^^ddSS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^rrrrrRRRrrrsssssss^^^^^vvvvvvvvvvvvvvvvvvvvvvvffffffffffffff/ffffffffffffffddddddiiiidd^^^^^ffff^^^^^^^^^^^^^^^^^^^^ffffffffffffffffffffffffffffffffffFFfffffffffffffffffffFFFFfffffffffffffffffffffsrrsssssssrrrrrRRRRRrrrrssss\ss^^^^^^vvvvvvv^^^^^^sssssssssssss|sssssssssssssssffffffffffffffffffffffFFFFFFFffFFFFFFFFFFFFFFFFFFFFFffffffffffffFFfffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvfdddd/ddddddddd^^^^^^^^^^^^^^^^^^^^^^dddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^rrrrrrRRRrrrsssssss^^^^^^vvvvvvvvvvvvvvvvvvvffffffffffffffff/ffffffffffffffffdddddiiiidCC^^^^fff?ff^^^^^^^^^^^^^^^^^CffffffffffffffffffffffffffffffffffFFfffffffffffffffffffFFFFfffffffffffffffffffffvvvssssssssrrrrrRRRRRRrrsssss\ss^^^^^^^^^?^^^^^^^^sssssssssssss|sssssssss###sssffffffffffffffffffffffFFFFFFFffffffFFFFFFFFFFFFFfffffffffffffffFFFffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvfdddd/dddddddddd^^^^^^^^^^^^^^^^^^^^^^dddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~^^^^^rrrrrrrRRRrrrsssssss^^^^^^vvvvvvvvvvvvvvvvffffffffffffffffff/fffffffffffffffffdddddiiiidd^^^^^ffffffff^^^^^^^^^^^^^^^^ffffffffffffffffffffffffffffffffffFFfffffffffffffffffffFFFFffffff##fffffffffffffvvvfssssssssrrrrrrRRRRrrrsssss\s^^^^^^^^^^^^^^^^^ssssssssssssss|sssssssss#?#ssssfffffffffffffffffffffFFFFFFFffffffffffffffffffffffffffffffffffFFFfffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvddd/ddddddddddd^^^^^^^^^^^^^^^^^^^^^^dddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^^^^^^^^rrrrrrrRRRrrrssssssss^^^^^vvvvvvvvvvvvvvvffffffffffffffffff/fffffffffffffff^^^fdddddiiddd^^^^fffffffffffff^^^^^^^^^^^fffffffffffffffffffffffffffFFFFFFFFFFfffffffffffffffffffFFFFfffff^^^^^fffffffffffvvvffffsssssssrrrrrRRRRrrssssss\s^^^^^^^^^^^^^^^^ssssssssssssss|sssssssss###sssssfffffffffffffffffffffFFFFFfffffffffffffffffffffffffffffffffffFFffffffffffffffffffffffff^^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvfdd/dddddddddddd^^^^^^^^^^^^^^^^^^^^^^dddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~^^^^^^^^^rrrrrrrrRRRrrrssssssss^^^^^vvvvvvvvvvvvfffffffffffffff###ff/ffffffffffffffff^^^^^^^^^^^dd^^^^^fffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFFFFFffffffffffffffffffFFFFFFfff^^^~^^^ffffffffffvvvffffsssssssssrrrrRRRRrrssssss\^^^^^^^^^^^^^^^^ssssysssssssss|ssssssssssssssssssffffffffffffffffffffFFFFFfffffffffffffffffffffffffffffffffFFFFffffffffffffffffffffffs^^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvvd/ddddddddddddd^^^^^^^^^^^^^^^^^^^^^^dddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^^^^^^^srrrrrrrrRRRrrrrssssssss^^^^vvvvvvvvvvvfffffffffffffff#####/fffffffffffffffff^^^^^^^^^^^^^^^^^ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFff^^^~c~^^^fffffffffvvvffffffsssssssrrrrrRRRrrsssssss\sssssss^^^^^^^ssssyssssssssss|sssssssssssssssssssfffffffffffffffffffFFFFFfffffffffffffffffffffffffffffffffFFFFffffffffffffffffffffffs^^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvf/dddddddddddddd^^^^^^^^^^^^^^^^^^^^^^dddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~^^^^^^^^srrrrsssrRRRrrrrssssssss^^^^vvvvvvvvvvfffffffffffffff#######fffffffffvvvvvvvf^^^^^^^^^^^^^^^^^ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFff^^~ccc~^^fffffffffvvvfffffffssssssssrrrrRRRrrsssssss\ssssssss^^^^^sssssssssssssss|ssssssssssssssssssssfffffffffffffffffffFFFffffffffffffffffffffffffffffffffffffffffffffffffffffffffffss^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvvv/ddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^ddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~^^^^^^^^^rrrrrsssrRRRrrrrssssssss^^^^vvvvvvvvvvvffffffffffffff#######ffffffffvvvvvvvvvf^^^^^^^^^^^^^^^^ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFff^^^~c~^^^fffffffffvvvffffffffssssssssrrrRRRrrssssssss+-+ssssssssssssssyssssssssss|sssssssssssssssssssssfffffffffffffffffffFfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffss^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvvv/fddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^ddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~^^^^^^^^^rrrsrsssRRRRrrrrssssssss^^^^^vvvvvvvvvffffffffffffffff######fffffffffvvvvvvvvvvv^^^^^^^^^^^^^^ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFfff^^^|^^^fffffffffvvvrffffffffssssssssyrrrRRRrrssssssssss\ssssssssssssssssssssssss|ssssssssssssssssssssssfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffsss^^^^^^^^^^^^^^^^^^^^^vvvvvvvvvv/vvddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^ddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~^^^^^^^^^rrrsssssRRRRrrrrssssssss^^^^^vvvvvvvvvvffffffffffffffff|fff#ffffffffvvvvvvvvvvvvvvvf^^^^^^^^ffffffffffffffffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffffffffFFFFFFfffff^|^C#fffffffffvvvfffffffffssssssssyrrrRRRrrsssssssssss+-----------------------+sssssssssssssssssssssssffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffss^^^^^^^^^^^^^^^^^^^^^vvvvvvvvvv/vvfddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^ddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~^^^^^^^^rrrrssssRRRRrrrrssssssss^^^^^?vvvvvvvvvvfffffffffffffff|fffffffffffff^^^^^^^^^vvvvvvf^^^^^^fffffffffffffffffffffffffffFFFFFFFF?FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffFFFFFFffffff|ffffffffffffvvvfffffffffssssssssyyrrRRRRrrsssssss!sssssssssssssssssssssssss/ssssssssssssssssssssssssssfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffsss^^^^^^^^^^^^^^^^^^^^vvvvvvvvvv/vvvvddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^ddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~^^^^^^^^^rrrrsssssRRRrrrrrssssssss^^^^^vvvvvvvvvvvvvvffffffffffff|fffffffffffff^^^^^^^^^^vvvvvvvC^^^^ffffffffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF?fffffFFFFFFffffff|ffffffffffffvvvfffffffffsssssssssyyrrrRRRrsssssss?!sssssssssssssssssssssss/sssssssssssssssssssssssssssssfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffssss^^^^^^^^^^^^^^^^^^^?vvvvv+----+vvvvfddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^%dddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~^^^^^^vvrrrssssrRRRrrrrrsssssssss^^^^vvvvvvvvvvvvvvvfffffffffff|fffffffffffff^^^^^^^^^^^vv^vvv^^^^^fffffffffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffFFFFFFffffff|ffffffffffvvvrrfffffffffssssssssssyrrrRRRrrsssrryssssssssssssssssssssssss/ssssssssssssssssssssssssssssssssfffffffffffffffffffffffffffffffffffffffffffffffffffffffffssssssssssssss^^^^^^^^^^^^^^^^^^^vvvvv/vvvvvv\vvvvddddddddddddddd^^^^^^^^^^^^^^^^^^^^^^ddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~^^^^^^^vvrrrrsssrrRRRrrrrrsssssssss^^^^^vvvvvvvvvvvvvvvvvfffffff/fffffffffffffffffff^^^^^^^^^^?f^^^^ffffffffffffffffffffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffffffffffffffFFFFFFffffff|fffffffvvvrrrfffffffffffssssssssssyyrRRRRRrrrrssssssssssssssssssssssssss/sssssssssssssssssssssssssssssssssssfffffffffffffffffffffffffffffsffffffffffffffffffffffssssssssssssssss^^^^^^^^^^^^^^^^^^^vvvvv/vvvvvvvv\vvfddddddddddddddd^^^^^^^^^#^^^^^^^^^^^^dddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~^^^^^^vvvvrrrsssrrRRRrrrrrsssssssss^^^^^vvvvvvvvvvvvvvvvvv+----+ffffffffffffffffffffff^^^^^^^^^^^^^^ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFffffff|vvvrrrrrrrffffffffffffffsssssssssyyyrrRRRRrrrryssssssssssssssssssssssss/sssssssssssssssssssssssssssssssssssssssffffffffffffffffffffffffffffffffffffffffffffssssssssssssssssssshh^^^^^^^^^^^^^^^^^^vvvvv/vvvvvvvvvv\vvddddddddddddddd^^^^^^^^^####^^^^^^^^^dddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~^^^^^^vvvrrrssssrrRRRrrrrrsssssssss^^^^^vvvvvvvCvvvvvvvvv/vvvvvvvffffffffffffffffffffff^^^^^^^^^^^^ffffFFFFFFFFFFfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFffffff|fffffffffffffffffffFFfffssssssssssyyrrRRRRRrrrrysssssssssssfffffffssss/ssssssssssssssssssssssssssssssssssssssssssssffffffffffffffffffffffffffffffffffffffssssssssssssssssssssh%^^^^^^^^^^^^^^^^^^^vvvv/vvvvvvvvvvvv\fddddddddddddddd^^^^^^^^^#####^^^^^^^^dddSS~~~~~~~~~~~~
~~~~~~~~~~~~~~~^^^^^^^vvvrrrrsssrrrRRRrrrrrsssssssss^^^^^vvvvvvvvvvvvvvvv/vvvvvvvvvvvffffffffffffffffffff^^^^^^^^^^^fffFFFFFFFFFFFfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFffffff|fffffffffffffffffffFFFffsssssssssssyjrrRRRRrrrrssssssssssssf?fffffyss/ssssssssssssssssssssssssssssssssssssssssssssssffffffffffffffffffffffffffffffffffssssssssssssssssssssssshh^^^^^^^^^^^^^^^^^vvvvv/vvvvvvvvvvvvv^\ddddddddddddddd^^^^^^^^^#######^^^^^^ddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~^^^^^^^vvvvrrrsssrrrRRRrrrrrssssssssss^^^^vvvvvvvvvvvvvvv/vvvvvvvvvvvffffffffffffffffffffffffffff?ffffffFFFffffffFFFfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffvvvrrrrrFFFFFffffff|fffffffffffffffffffFFfffsssssssssssyjjrrRRRRrrrrsssssssssssfffffffff/fffffsssssssssssssssssssssssssssssssssssssssssssssffffffffffffffffffffffffffffsssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^vvvv/vvvvvvvvvvv^^^^^\ddddddddddddddd^^^^^^^^#######^^^^^^ddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~^^^^^^vvvvrrrrsssrrrRRRrrrrsssssssssss^^^^vvvvvvvvvvvvvv/vvvvvvvvvvvvvfffffffffffffffffffffffffffffffffFFFfffffffFFFFfffffffffffffffffffffffffffffffffffffFFfffffffffffffffffffffffvvvrrrrrFFFFFffffff|fffffffffffffffffffFFfffssssssssssyjjjrrrRRRRrrrrssssssssssffffffff/ffffffysssssssssssssssssssssssssssssssssssssssssssssssffffffffffffffffffffffsssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^vvvvv/vvvvvvvvvvv^^^^^^d\dddddddddddddd^^^^^^^^^#####^^^^^^^ddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^^^^vvvvvrrssssrrrRRRrrrrsssssssssss^^^^^vvvvvvvvvvvv/vvvvvvvvvvvvvffffffffffffffffffffffffffffffffffFFFffffffffFFFFFFFFFFFfffffffffffffffffffffffffffffFFFFffffffffffffffffffsssvvrrrrrrFFFFFffffff|ffffffffffffffffF?FFffffsssssssssyjjjjjjrRRRRrrrrysssssssssfffffff/fffffffsssssssssssssssssssssssssssssssssssssssssssssssssssfffffffffffffffffsssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^vvvv/vvvvvvvvvC^^^^^^^^dd\ddddddddddddd^^^^^^^^^^^^^^^^^^^^dddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~^^^^^^vvvvrrrssssrrrRRRrrrssssssssssss^^^^^vvvvvvvvvvv/vvvvvvvvvvvvvvvfffffffffffffffffffffffffffffffffFFffffffffffFFFFFFFFFFFfffffffffffffffffFFFFFFFFFFFFFffffffffffffsssssssssssvvrrrrrrFFFFFffffff|fffFFffffffffffFFFFFFfffssssssssssjjjjjjrrRRRrrrrssssssssssffffff/ffffffffysssssssssssssssssssssssssssssssssssssssssssssssssssssfffffffffffsfsssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^vvvvv/vvvvvvvvv^^^^^^^^^dddd\dddddddddddd^^^^^^^^^^^^^^^^^^^^dddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~^^^^^^vvvvvrrsssrrrrRRRrrrssssssssssss^^^^^^vvvvvvvvv/vvvvvvvvvvvvvvvffffffffffffffffffffffffffffffffffFFffffffffffffffffffFFFFFFFFFFffffffffffFFFFFFFFFFFFFfffffffffssssssssssssssvvrrrrrrFFFFFffffff|ffFFFffffffffffFFFffffffsssssssssjjjjjjjrrRRRRrrrysssssssssfffff/fffffffffsssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffffssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^vvvvv/vvvvvvvvv^^^^^^^^^^ddddd\ddddddddddd^^^^^^^^^^^^^^^^^^^^dddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^^^^vvvvrrrsssrrrrRRRrrrssssssssssss^^^^^^vvvvvvvv/vvvvvvvvvvvvvvvvvffffffffffffffffffffffffffffffffffffffffffffffffffffffFFFFFFFFFFFffffffffFFFffffffffffffffffsssssssssssssssssrrrrrrrrFFFFFffffff|ffFFFfffffffffffffffffsssssssssssjjjjjjjjjrRRRRrrryssssssssffff/ffffffffffyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^vvvvv/vvvvvvvvv^^^^^^^^^^^dddddd\dddddddddd^^^^^^^^^^^^^^^^^^^ddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^^^vvvvrrrsssssrrrRRRrrrsssssssssssss^^^^^^vvvvvv/vvvvvvvvvvvvvvvvvvvfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffssssssssssssssrrrvvvrrrfFFFFFFffffff|ffFFfffffffffffffffffsssssssssssjjjjjjjjjjrRRRRrrrsssssssssfff/fffffffffffsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffsssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^vvvvv/vvvvvvvf^^^^^^^^^^^^dddddddd\dddddddddd^^^^^^^^^^^^^^^^^^ddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^^^vvvvvrrsssssrrrrRRrrrsssssssssssss^^^^^^vvvvv/vvvvvvvvvvvvvvvvvvvvvffffffffffffff^^^^^^^^fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffssssssssssssssrrssffvvvrfFFFFFFffffff|ffFFfffffffffffffsssssssssssssssjjjjjjjj%jrrRRRrrryssssssssff/ffffffffffffysssssssssssssssfffffffssssssssssssssssssssssssssssssssssssfffffsssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^vvvvv/vvvvvvvvv^^^^^^^^^^^dddddddddd\ddddddddd^^^^^^^^^^^^^^^^^^ddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^^^vvvvrrrsssssrrrRRRrrrssssssssssssss^^^^^^vvv+vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^^ffffffffffffffffffffffsssfffffffffffffffffffffffffffffffffffffffsssssssssssssssrrrsssfffffffFFFFFFffffff|ffFFffffffssssssssssssssssssssssjjjjjjjjjjjrrRRRrrrysssssssf/fffffffffffffssssssssssssssssfffffffffffffffffysssssssssssssssssssssssssffffssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^vvvvv/vvvvvvvvv^^^^^^^^^^^^ddddddddddd\dddddddd^^^^^^^^^^^^^^^^^^dddddSS~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^^vvvvvvrrsssssrrrRRRrrrssssssssssssss^^^^^^vvv|vvvvvvvvvvvvvvvvvvvvvvvvvvvvvv^^^^^^^^^^^^^^^fffffffffffffffffffssssssffffffffffffffffffffffffffffffffffsssssssssssssssssssrssssssffffffFFFFFFffffff|ffFFfffffsssssssssssssyssssssssjjjjjjjjjjjjrrRRRRrrssssss+-+ffffffffffffffyssssssssssssssffffffffffffffffffsssssssssssssssssssssssssfffffsssssssssssssssssssssssssssssss^^^^^^^^^^^^^^vvvvv/vvvvvvvvv^^^^^^^^^^^^^dddddddddddd\ddddddd^^^^^^^^^^^^^^^^^dddddSSS~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^^vvvvvrrrrssssrrrRRRrrrsssssssssssssss^^^^^vvv|vvvvvvvvvvvvvvvvvvvvvvvvvvvv?^^^^^^^^^^^^^^^^fffffffffffffffsssssssssssssfffffffffffffffffffffffffsssssssssssssssssssssssrrrssssssffffffFFFFFFffffff|fFFFffffsssssssssssssysssssssssjjjjjjjjjjjrrrrRRRrryssss/ssfffffffffffffffssssssssssssssfffffffffffffffffffysssssssssssssssssssssssssffffssssssssssssssssssssssssssssss^^^^^^^^^^^^^^vvvvv/vvvvvvvf^^^^^^^^^^^^^^dddddddddddddd+ddddddd^^^^^^^^^^^^^^^^ddddSSS~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^^vvvvvvrrrssssrrRRRRrrrsssssssssssssss^^^^^vvv|vvvvvvvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^^^^^^^^^^ssfffffffffffssssssssssssssssffffffffffffffffffffffsssssssssssssssssssssssssrssssssssfffffffFFFFfffffff|FFFFfffsssssssssssssyssssssssssjjjjjjjjjjrrrrrrRRrrssss/ssssffffffffffffffysssssssssssssffffffffffffffffffffysssssssssssssssssssssssffffffssssssssssssssssssssssssssss^^^^^^^^^^^^^^vvvvv/vvvvvvvvv^^^^^^^^^^^^^^dddddddddddddd|dddddddd^^^^^^^^^^^^^^dddddddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^^vvvvvrrrrsssrrrRRRRrrrssssssssssssssss^^^^^^v|vvvvvvvvvvvvvvvvvvvvvf^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssssssssfffffffffffffffffsssssssssssssssssssssssssrrrssssssssfffffffFFFFfffffff|FFFffffssssssssssssyssssssssssjjjjjjjjjjrrr+======----+ssssssffffffffffffysssssssssssssfffffffffffffffffffffffsssfssssssfssssssfsssffffffssssfsssssssssssssssssssssss^^^^^^^^^^^^^^^vvvv/vvvvvvvf^^^^^^^^^^^^^^^ddddddddddddddd|ddddddddd^^^^^^^^^^^^^dddddddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^vvvvvvvrrrsssrrrRRRrrrrssssssssssssssss^^^^^^v|vvvvvvvvvvvvvvvvvv^^^^^^^^^^^^^^^^^^^^^^^^^^!^ssssssssssssssssssssssssssssssssffffffffffffffssssssssssssssssssssssssssrrssssssssssfffffffFFFFfffffff|FFfffsssssssssssssysssssssssssjjjjjjjjjrrrj|jrrRRRrrysssssssssffffffffffffyssssssssssssfffffffffffffffffffffffysfffssfsfffssfsfffssfsffffsfsfffssyssssssssssssssssss^^^^^^^^^^^^^^^vvvv/vvvvvvvvv^^^^^^^^^^^^^^dddddddddddddddd+rddddddd^^^^^^^^^^^^^ddddddddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^vvvvvvvvrrsssrrrRRRrrrrssssssssssssssss^^^^^^v|vvvvvvvvvvvvvvvvv^^^^^^^^^^^^^^^^!^!^!^!^!^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrrrrsssssssssssfffffffF?FFfffffff|Fffffssssssssssssyssssssssssjjjjjjjjjjjrrjj|jjrrRRRrrysssssssssssssssssssssssssssssssss?ffffffffffffffffffffffffffffffffffffffffffffffffffyyyyyyyysssssssssssssssss^^^^^^^^^^^^^^^vvvv/vvvvvvvf^^^^^^^^^^^^^^^^ddddddddddddddd/rrddddddddd^^^^^^^^^^dddddddddS~~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^vvvvvvvrrrsssrrrRRRrrrrssssssssssssssss^^^^^^v|vvvvvvvvvvvvvvvv^^^^^^!^^^^^^^!^sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrrrssssssssssssssssfffffffFFFFfffffff|Ffffssssssssssssysssssssssssjjjjjjjjjjjrrjj|jjrrrRRrrssssssssssssssssssssssssssssssssssfffffffffffffffffffffffysfffffffffffffffffFFfffffffsssssssssssssssssssssss^^^^^^^^^^^^^^^vvvvv/vvvvvvvf^^^^^^^^^^^^^^^^^dddddddddddddd/drrdddddddddd^^^^^^^ddddddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^vvvvvvvvrrrrsrrrRRRrrrrssssssssssssssssss^^^^v|vvvvvvvvvvvvvvvf^^^^^sss^!^!^sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssy!rrrrrryssssssssssssssssssssfffffffFFffffffFF|Fffssssssssssssysssssssssssjjjjjjjjjjjjrrjj+jjrrrRRrrrsssssssssssssssssssssssssssssssssfffffffffffffffffffffffsssssssssssffffffFFFFFFffffssssssssssssssssssssss^^^^^^^^^^^^^^^^^vvvv/vvvvvvvf^^^^^^^^^^^^^^^^^ddddddddddd+--+ddrrdddddddddddddddddddddddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvrrrsrrrRRRrrrrssssssssssssssssss^^^^v|vvvvvvvvvvvvvv^^^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrysssssssssssssssssssssssssfffffffffffffffFF|Fffssssssssssssssssssssssssjjjjjjjjjjjrrrj/jjCjrrRRRrrrssssssssssssssssssssssssssssssssfffffffffffffffffffffffyssssssssssssffffffFFFFffffssssssssssssssssssss^^^^^^^^^^^^^^^^^vvvvv/vvvvvvvvv^^^^^^^^^^^^^^^^ddddddddddd/dddddrrrdddddddddddddddddddddddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvrrrrrrrrRRRrrrrssssssssssssssssss^^^^v|vvvvvvvvvvvvv^^^^^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrrssssssssssssssssssssssssssssfffffffffffffffff+fffssssssssssssssssssssssssjjjjjjjjjjjrrj/jjjCjrrrRRrrrysssssssssssssssssssssssssssssssfffffffffffffffffffffffsssssssssssssssssfffFFFFfffsssssssssssssssssss^^^^^^^^^^^^^^^^^^vvvv/vvvvvvvf^^^^^^^^^^^^^^^^^^dddddddddd/ddddddrdrdddddddddddddddddddddddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~^^^^vvvvvvvvvrrrrrrrRRRrrrrssssssssssssssssss^^^^v|vvvvvvvvvvvv^^^^^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss%ssssssssrrrsysssssssssssssssssssssssssssssffffffffffffffff/fffssssssssssssyssssssssssssjjjjjjjjjjjjr+jjjjjjjrrRRRrrrrssssssssssssssssssssssssssssssfffffff%fffffffffffffffysssssssssssssssssfffFFFffffssssssssssssssss^^^^^^^^^^^^^^^^^^vvvvv/vvvvvvvf^^^^^^^^^^^^^^^^^^ddddddd+--+dddddddrrrdddddddddddddddddddddddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvvrrrrrrRRRrrrrssssssssssssssssss^^^^v|vvvvvvvvvvv^^^^^^!^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrssssssssssssssssssssssssssssssssssffffffffffffff/fffssssssssssssyssssssssssssjjjjjjjjjjjjjr=rrjjjjjrrrRRrrrrysssssssssssssssssssssssssssssfffffffffffffffffffffffsssssssssssssssssssssffffffssssssssssssssss^^^^^^^^^^^^^^^^^^vvvvv/vvvvvvvf^^^^^^^^^^^^^^^^^^^dddddd/dddddddddddrdrdddddddddddddddddddddddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvrrrrrrrRRRrrrrssssssssssssssssss^^^^v|vvvvvvvvvvf^^^^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrsssssyssssssssssssssssssssssssssssssfffffffffffff/fffssssssssssssysssssssssssssjjjjjjjjjjjjjj+jrrrjjjrrrRRRrrrssssssssssssssssssssssssssssssffffffffffff?f!fffffffssssssssssssssssssssssssffffssssssssssssss^^^^^^^^^^^^^^^^^^vvvvvv/vvvvvvv^^^^^^^^^^^^^^^^^^^^dddddd/ddddddddddddrrrrrrrdddddd!drrrrrdddddddddddS~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvvrrrrrrRRRrrrrssssssssssssssssss^^^^v|vvvvvvvvvvv^^^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrsssssssssssssssssssssssssssssssssssssfffffffffff/ffffsssssssssssysssssssssssssjjjjjjjjjjjjjj/jjrrrjjjjrrRRRRrrrsssssssssssssssssssssssssssssffffffffffffffffffffffysssssssssssssssssssssssffffssssssssssss^^^^^^^^^^^^^^^^^^^vvvvvv/vvvvvvvf^^^^^^^^^^^^^^^^^^^dddddd/dddddddddddddrrrrrrrrrdrrrrrrsssrrddddddddddS~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvrrrrrrrRRRrrrrssssssssssssssssss^^^^v|vvvvvvvvvvf^^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrsssssssysssssssssssssssssssssssssssssssffffffffff/ffffsssssssssssysssssssssssssjjjjjj#jjjj+--+jjjrrjjjjjjrRRRRrrryssssssssssssssssssssssssssssffffffffffffffffffffffssssssssssssssssssssssssfffffsssssssss^^^^^^^^^^^^^^^^^^^^vvvvvv/vvvvvvvf^^^^^^^^^^^^^^^^^^^^ddddd/ddddddddddddddrrrrrrrrrrrsssssssssrddddddddddS~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvvrrrrrrRRRrrrrsssssssssssssssss^^^^^v|vvvvvvvvvvv^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrsssssssssssssssssssssssssssssssssssssssfffffffff/fffssssssssssssyssssssssssssssssjjj###jj/jjjjjjjrrjjjjjjrrRRRrrrsssssssssssssssssssssssssssssffffffffffffffffffffffysssssssssssssssssssssssffffssssssss^^^^^^^^^^^^^^^^^^^^^vvvvvv/vvvvvvvf^^^^^^^^^^^^^^^^^^^^^dddd/ddddddddddddddrrrrrrrrrrrrrssssssssrrdddddddddS~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvvvrrrrrRRRRrrrsssssssssssssssss^^^^^v|vvvvvvvvvvf^^^^^sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrr!ssssssssyssssssssssssssssssssssssssssssssfffffff/fssssssssssssssysssssssssssssssssjjj###-+jjjjjjjrrrjjjjjjrrrRRRrrrsssssssssssssssssssssssssssssssffffffffffffffffffysssssssssssssssssssssssfffffssssss^^^^^^^^^^^^^^^^^^^^^^vvvvvv/vvvvvvvvv^^^^^^^^^^^^^^^^^^^^dddd+ddddddddrrrrddrrrrrrrrrrrrrrrssssssssrdddddddddS~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvvvvrrrrRRRRrrrrssssssssssssssss^^^^^v|vvvvvvvvvvv^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssryjsssssssssssssssssssssssssssssssssssssssssssfffff/fssssssssssssssssssssssssssssssssssjjjjjj|jjjjjrrrrrjjjjjjjrrRRRrrrysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffssssss^^^^^^^^^^^^^^^^^^^^^vvvvvv/vvvvvvvf^^^^^^^^^^^^^^^^^^^^^ddddd|ddddddddrrrrrrrrrrrrrrrrrrrrrrsssssssrrddddddddS~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvvvrrrrrRRRRrrrrssssssssssssssss^^^^^v|vvvvvvvvvvf^^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrjjsssssssssyssssssssssssssssssssssssssssssssssfff/fsssssssssssssssssssssssssssssssssssjjjjjj|jjjjrrrjrrjjjjjjjjrrRRRrrsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffffssss^^^^^^^^^^^^^^^^^^^^^vvvvvv/vvvvvvvvv^^^^^^^^^^^^^^^^^^^^dddddd+dddddddddrrdrrrrrrrrrrrrrrrrrrysssssssrdddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvvvvrrrrrRRRrrrrsssssssssssssss^^^^^vv|vvvvvvvvvvv^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrr?jjjssssssssssssssssssssssssssssssssssssssssssssf+fssssssssysysssssssssssssssssssssssssjjjjjj|jjjrrrrjjrrjjjjjjjrrRRRrrysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffffssss^^^^^^^^^^^^^^^^^^^^^^vvvvv/vvvvvvvvvf^^^^^^^^^^^^^^^^^^^^ddddd/ddddddddddrrdrrrrrrrrrrRrrrrrrrryssssssrdddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvvvrrrrrrRRRrrrrrssssssssssssss^^^^^vv|vvvvvvvvvvf^^^^^sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrjjjjsssssssssyssssssssssssssssssssssssssssssssssss|ssysssssssssssssssssssssssssssssssssjjjjjjj|rrrrrjjjjjrrj?jjjjjrrRRRrryssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffssss^^^^^^^^^^^^^^^^^^^^^vvvvv/vvvvvvvvvf^^^^^^^^^^^^^^^^^^^^ddddd+ddddddddddddddrrrrrrrrrRRRrrrrrrrsssssssrrddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^vvvvvvvvvvvvrrrrrRRRrrrrrssssssssssssss^^^^^vv+vvvvvvvvvCC^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrryjssssssssssssssssssssssssssssssssssssssssssssssss|ssssssssssssssssssssssssssssssssssssjjjjjjr=rrrjjjjjjjrrjjlljjjrrRRRrrrysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffss^^^^^^^^^^^^^^^^^^^^^^^vvvv/vvvvvvvvvf^^^^^^^^^^^^^^^^^^^^dddddd|ddddddddddddddrrrrrrrrRRRRRrrrrrrysssssssrrdddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^^vvvvvvvvvvrrrrrrRRRrrrrrssssssssssssss^^^^^vvv\vvvvvvvvvf^^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrsssssssssssssssysssssssssssssssssssssssssssssssssssy|ssssssssssssssssssssssssssssssssssssjjjjjjr|jjjjjjjjjjrrllllljjjrrRRRrrssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssfffffs^^^^^^^^^^^^^^^^^^^^^^vvvv/vvvvvvvvvvv^^^^^^^^^^^^^^^^^^^ddddddd|ddddddddddddddrrrrrrrrRRRRRrrrrrrsssssssssrrddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^^vvvvvvvvvvvrrrrrRRRrrrrrssssssssssssss^^^^^^^^^\vvvvvvvvv^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrsssssssssssssssssssysssssssssssssssssssssssssssssssss|sssssssssssssssssssssssssssssssssssjjjjjjrr|jjjjjjjjjjrllllllljjrrrRRrrrsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffs^^^^^^^^^^^^^^^^^^^^^^vvvv/vvvvvvvvvf^^^^^^^^^^^^^^^^^^^^dddddddd|ddddddddddddddrrrrrrrrRRRRRrrrrrrysssssssssrrrrrrr~~~~~~~~~~~~~
~~~~~~~~~~~~~^^^^^^vvvvvvvvvvvvrrrrRRRrrrrrssssssssssssss^^^^^^^^^v+vvvvvvvf^^^^^sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrssssssssssssssssssssssssssssssssssssssssssssssssssssss|ssssssssssssssssssssssssssssssssssjjjjjjrrj|jjjjjj%jjjjjjllllljjjjrrRRrrrsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssfffffsC^^^^^^^^^^^^^^^^^^^^^vvv/vvvvvvvvvf^^^^^^^^^^^^^^^^^^^^ddddddddd|ddddddddddddddrrrrrrrrRRRRRrrrrrrssssssssssdddddddS~~~~~~~~~~~~
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~~~~~~~~~~~~~^^^^^^vvvvvvvvvvvvvrrrRRRRrrrrssssssssssssssss^^^^^^^v|vvvvvvvvf^^^^^^^^^^^!^ssssssssssssssssssssssssssssssssssrrrrrrrrssssssssssrrrysssssssssssssssssssssssysssssssssssssssssssssssssssssssss|sssssssssssssssssssssssssssssssssjjjjrjjjjj|jjjjjjjjjjjjjjlllwwjjjjjrRRRrrrysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssffffff^^^^^^^^^^^^^^^^^^^^^vv/vvvvvvvvvf^^^^^^^^^^^^^^^^^^^^^ddddddddd+dddddddddddddddrrrrrrrrrRRRRRrrrrrrrsssssssssdddddddS~~~~~~~~~~~~
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~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSSvvvvvvrrRRRrrsssssssssssssssssssssssssssssss|vvvvvvvvvvvvvsssssssssssssssssssssssssssssssssssssssssssss/ssssssssslllllllllllfllllfffssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrRRRRrrrrysssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^!^sssssssssssssssssssssssssssssdddddd+--------------+ddddddddddddddddddddysssssssssssssssbbS~~~~~~~~~~~bh#b~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~^^^vvvvvvvvvvvrrrrsssssssssssssssssssssssssssssss|vvvvvvvvvvvvsssssssssssssssssssssssssssssssssssssssssssss/ssssssssssflllll?llllllllllffysssssssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrRRRrrrrrssysyssssssssssssss^s^s^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssdddddd/dddddddddddddddddddddddddddddddddddddysssssssssssssssbS~~~~~~~~~~~bh#hb~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~^^v^vvvvvvvvvvrrrrrrssssssssssssssssssssssssssssss|vvvvvvvvvvvssssssssssssssssssssssssssssssssssssss%ssssss/sssssssssssffllllflflllllllllfsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssRRRRrrrsssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssssssssddddd/dddddddddddddddddddddddddddddddddddddyssssssssssssssssbbS~~~~~~~~~~bhhhb~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^^^CC^^vvvvvvvvvrrrrrssssssssssssssssssssssssssssss|vvvvvvvvvvsssssssssssssssssssssssssssssssssssysssssssss/sssssssssssssfffllllfllllfllfffyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssRRRRRrrsssssssssssss^s^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssssssssddddd/ddddddddiiiiiddddddddddddddddddddddddddyssssssssssssssssbbS~~~~~~~~~~bbb~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^vvvvvvvrrrrrrssssssssssssssssssssssssssssss|vvvvvvvvvsss^s^^^^^^^^^^^^^^^^^^^^^^^sssssssssysssssss/ssssssssssssssssflllllflllllffsssssssssssssssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrRRRRrrsssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^sssssssssssssssssssssssssssssssdddd/ddd!d!diiiiiiiiddddddddddddddddddddddddyssssffssssssssssssbbS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^~SSSSSvvvvrrrrrssssssssssssssssssssssssssssss|vvvvvvvv^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssysssss/ssssssssssssssssssffflllfllllllyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrRRRRrsss^^^^^s^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssssssssddddd/diiiiiiiiiiiiiiiiddddddddddddddddddddddddyssssssssssssssssssbbS~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Svvrrrrrrssssssssssssssssssssssssssssss+vvvvvvv^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssysss/sssssssssssssssssssssffffllllflfsssssssssssssssssssssssssssssyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssssdddd/diiiiiiidiiiiiiiiiiddddddddddddddddddddddyssssssssssssssssssssbS~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSvrrrrssssssssssssssssssssssssssssss/vvvvvvvf^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssss/sssssssssssssssssssssssffffffflfsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssrrrRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssssssssssddd/ddiiiiiiiiiiiiiiiiiiiiiiiidddddddddddddddddysssssssssssssssssssbS~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SS~~~~ssssssssssssssssssssssssssss/vvvvvvvf^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssss/ssssssssssssssssssssssssssffffffsssssssssssssssssssssssssssssssssssyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssssssssssddd/ddiiiiiiiid!diiiiiiiiiiiiiiidddddddddddddddyssssssssssssssssssssbbSSS~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssssssssssssssssss/vvvvvvvf^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssss/sssyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssys^s^s^^^rrrRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^!^ssssssssssssssssssssssssssssssssddd/dddiiiiiidddd!d!diiiiiiiiiiiiddddddddddddddddyssssssssssssssssssssbbbbSSSSS~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssssssssssssssss+vvvvvvvv^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssss/sssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^rrrRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssssssssssdd/dddiiiiiiddddiiiiiiiiiiiiiiiiidddddddddddddddyssssssssssssssssssssssssbbbbb?SSSS~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssssssssssss^|vvvvvvvv^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvvs/sssssssssssyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss^s^s^^^^^^^^^^rrRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssssssssssdd/ddddiiiiidddddd!d!d!d!diiiiiiiiddddddddddddddddysssssssssssssssssssssssssbbbbbbbbSS~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssssss^^^|xvvvvvv^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^v^vvv?/sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss^s^s^^^^^^^^^^^^^^^^rrRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^sssssssssssssssssssssssssssssssssssssdd/ddddiiiiiiddddiiiiiiiidddddiiiiiddddddddddddddddssssssssssssssssssssssssssssddbbbbbbS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssss^^^^xxxxxxvvf^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^vvvvvvv/vvsssssssssssssssssssyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss!sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^rRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^ssssssssssssssssssssssssssssssssssssssssd/ddddddiiiiddiiiiiiiid!ddddddiiiiidddddddddddddddddssssssssssssssssssssssssssdddddddbbS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssss^^^vx|xxxxxxv^^^^^^^^^^^^^^^^^^^^^^^^^^^^^?^v^vvvvvvvv/vvfssssssssssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^rRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssssssssssssssss/ddddddiiiiidiiiiiiiiiiddddiiiiid!dddddddddddddddddsssssssssssssssssssssssssssddddddddbbS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssss^^^^^xxxxvxxf^^^^^^^^^^^^^^^^^^^^^^^^^^v^v^vvvvvvvvvvvv/vvvvfssssssssssssssssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssyssssssssssssssssssssssssssssssssssssssssssssssssssssssss^s^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssssssssssssssss/dddddddd!d!ddiiiiiiiiiddddiiiiiiddddddddddddddddddddsssssssssssssssssffyssssddddddddddbbS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssss^^^^^^xvxxxvxv^^^^^^^^^^^^^^^^^^^^f^vv^vvvvvvvvvvvvvvvv/vvvvvvfssssssssssssss~~ssssssssssssssysssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^sssssssssssssssssssssssssssssssssssssssssss/sddddddddddddiiiiiiiiddddiiiiiiidddddddddddddddddddddysssssssssssssssssssssssdddddddddddbS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssss^^^^^^xvvxxxxxf^^^^^^^^^^^^^^^f^f^vvvvvvvvvvvvvvvvvvvvv/vvvvvvvvS~sssssssss~~~~ssssssssssssssssssssyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssssssssssssssssss/ssdddddddd!d!diiiiiidddddiiiiiiiiiddddddddddddddddddddsssssssssssssssssssssssddddddddddddbS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssss^^^^^^^vvv|vxvf^^^^^^vvv^vvvvvvvvvvvvvvvvvvvvvvvvvvvvvv/vvvvvvSSS~~~~~sss~~~~~~~~sssssssssssssssssssss~~ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssssssssssssssss/sssdddddddiiiiiiiiiidddddddiiiiiiiid!dddddddddddddddddddsssssssssssssssssssssssdddddddddddbS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssss?^^^^^^^Cvvx|xxvx^^^vxxxxxxxvvvvvvvvvvvvvvvvvvvvvvvvvvvv/vvvvfSS~~~~~~~~~~~~~~~~~~~~~~sssssssssssssssss~~~~~~sssssssssssssssssssssssssssssssssss?sssssssssssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^!^!^sssssssssssssssssssssssssssssssssssssssssss/ssssdddddddd!d!diiiiidd!d!diiiiiiiiiiiiddddddddddddddddddysssssssssssssssssssssssddddddddddbbS~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^vxx+--------------xx--------------------------+vvSSSS~~~~~~~~~~~~~~~~~~~~~~~~~~s^ssssssssss~~~~~~~~sssssssssssssssssssssssssssssssss---+---ssssssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssffffffffffsssssssssssssssss/sssssdddddddiiiiiiiiiiiiii?iiiiiiiid!d!ddddddddddddddddddddyssssssssssssssssssssssddddddddddbbS~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~x|xxxvxxxxxxxxxxxxvvvvvvvvvvvvvvvvvvvvvvvvvvCSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sss~~~~~~~~sssssssssssssssssssssssssssssssssssssss%sssssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^!^ssssssssssssssssssfffffffffffffysssssssssssssss/ssssssdddddddd!d!diiiiiid!d!diiiiiiiiiiiidddddddddddddddddddddssssssssssssssssssssssdddddddddbbS~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^~~~~~|xxvxx^xxxxxxvvvvvvvvvvvvvvvvvvvvvvvvvfSSSSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss^s^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^!^^^ssssssssssssssssssssffffffffffffffsssssssssssssss/sssssssdddddddiiiiidiiiiiiiiiiiiiiiidd!d!dddddddddddddddddddddddddddsssssddddddyssssssddddddddbbS~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^~~~~~v|xvvx^V^xxxxvvvvvvvvvvvvvvvvvvvvvSSSSSS~~~~~~~~~~~~~~~~~~~~SS~S~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ssssssssssssssssssssssssssssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^!^^^^sssssssssssssssssssssffffffffffffffysssssssssssss/ssssssssdddddddiiiiiiiiiiid!diiiiiiidddddddddddddddddddddddddddddddddyssssdddddddysssssddddddddbbS~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^rs~~~~~~~~~~~~~~~^^^^^^^~~~~xv|xx?x^VV^vvvvCvvvvvvvvvvvvvSSSSSS~~~~~~~~~~~~~~~~~~~~~~~~SSSSSSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~sssssssssssssssssssss^sssssssssssssssssssssssssssssss^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssffffffffffffffsssssssssssss/sssssssssdddddddiiiiiiiiiiiddddiiiiiddd!d!ddddddddddddddddddddddddddddsssssdddddddssssssddddddddbbS~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^rss~~~~~~~~~~~~~~~^^^^^^vxvvvv|xxxxv^^xxxxvvvvvvvSSvvSSSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~SS~~xxx~SSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^^ssssssssssssssssssssssssfffffffffffffffysssssssssss/ssssssssssdddddddiiiiiiiiiiddddiiiiiiddiiiiidddddddddddddddddddddddddddyssssdddddddysssssddddddddbbbS~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^rrs~~~~~~~~~~~~~~^^^^^^vvxvvvx+xxxxxxxxxvvvv^^^SS~~SS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~xx~~~~~S~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^^^^sssssssssssssssssssssssssfffffffffffffffsssssssssss/sssssssssssdddddddiiiiiiiiiiddddiiiiidddd!d!ddddddddddddddddddddddddddddsssssdddddddsssssdddddddddbbbS~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^%rs~~~~~~~~~~~~~~~^^^^^vvxvxv+xvxxvvvvvvv^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~S~~~~~S~~~~~SSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRRRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^!^^^ssssssssssssssssssssssssssssfffffffffffffffysssssssss/sssssssssssssddddddiiiiiiiiiidddiiiiiidddiiiiidddddddddddddddddddddddddddyssssdddddddyssssdddddddddbbbS~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^~s~~~~~~~~~~~~~~~~^^^^^xxxxvx|xvxvvvf^^^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSS~~~~~S~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^SS^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRRRRRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^!^!^sssssssssssssssssssssssssssssssssssfffffffffffffffsssssssss/ssssssssssssssddddddd!d!ddiiiiiddiiiiiidddd!d!ddddddddddddddddddddddddddddsssssdddddddssssssddddddddbbbS~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^vvxxxxv|v^^^^^^^^^^^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~SSS~~~~~~~~S~~SSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^S~~S^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRRRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssss%sssssssssss%ssssfffffffffffffffysssssss/sssssssssssssssddddddiiiiiiiiiiidiiiiiiddddddddddddddddddddddddddddddddddddysssssddddddysssssddddddddbbbS~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^SSSSSxv+C^^^^^^^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~S~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRRRRRRRRRRRRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^sssssssssssssssssssssssssssssssssssssssssfffffffffffffffsssssss+ssssssssssssssssddddddd!d!ddiiiiiiiiiiiiidddddddddddddddddddddddddddddddddddssssssddddddssssssddddddddbbbS~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^SSSSSx/f^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssssssssssssssssssssssffffffffffffffssssssss|sssssssssssssssdddddddiiiiidiiiiidiiiiiiiiddddddddddddddddddddddddddddddddddysssssddddddysssssddddddddbbbS~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^SSSSx/SS^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^SSSS^^^^^^RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssssssssssssssssssffffffffffffffysssssss|ssssssssssssssddddddddiiiiidiiiiiiiiiiid!dd!d!ddddddddddddddddddddddddddddddssssssddddddssssssddddddddbbbS~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^xSSSS/SSS^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^SS~SSS^^^RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssssssssssssssssssssssssssffffffffffssssssssss|sssssssssssssdddddddddiiiiidd!d!ddiiiiiiiiiiiiidddddddddddddddddddddddddddddysssssdddddsssssssddddddddbbS~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSSS/SSS^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddddddddddddddd~~~~~~~~~~~~~~~~~~~~^!^!^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^~~~~~~~~RRRRRRRRRRR^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss|ssssssssssssddddddddddiiiiidiiiiiiiiiiiiiiiid!ddddddddddddddddddddddddddddddssssssddddsssssssdddddddddbbS~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~S+SSSS^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddddddddddddddddddddddddddddddd~~~~~~~~^hh?FF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~R^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss|sssssssssssdddddddddddiiiiidiiiiiiiiiiiiiiiiiiiiidddddddddddddddddddddddddddyssssdddyssssssssdddddddddbbS~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~^~~^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddddddddddddddddddddddhhhddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss|sssssssssdddddddddddddiiiiidiiiiiiiiiiiiiiiiiiiiiiddddddddddddddddddddddddddsssssddyssssssssddddddddddbbbS~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dzdzzdddddddddddddddddddddhdddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssss---+---ssssssssssssssssssssssss?ssssssssssssssssssssssssssssssss|sssssssdddddddddddddddiiiiidiiiiiiiiiiiiiiiiiiiiidddddddddddddddddddddddddddyssssddssssssssdddddddddddbbbS~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zdddddddddddddddddddddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^!^ssssssssssssss?ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss|sssssdddddddddddddddddiiiiidiiiiiiiiiiiiiiiiiiiiiiddddddddddddddddddddddddddsssssddyssssssddddddddddddbbbbSS~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zdddddddddddddddddddddddxdxddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss|ssssddddddddddddddddddd!d!ddd!diiiiiiiiiiiiiiiiiidddddddddddddddddddddddddddyssssddssssssdddddddddddddbbbbbbSS~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zdddddd~~~~~~~~zdzzzdddddddddddddddddddddddddddddddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~^^^^^^^^^^^^^^^^^^^?^?^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ssssssssssssssssssssssssssssssssssss%sssssssssssssssssss%ssssssssssssssssssssss|ssddddddddddddddddddddiiiiidddddiiiiiiidiiiiiiiiddddddddddddddddddddddddddddsssssddyssssddddddddddddddbbbbbbSbS~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zzdddddddddddd~~zzdddddddddddddddddddddddddddddxdxddddddddddddddddddddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^!^ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss|sdddddddddddddddddddddd!d!d!ddd!diiiiiiiiiiiidddddddddddddddddddddddddddddddyssssddsssssddddddddddddddbbbbbbSbbS~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zdd#%#ddddddddddddddddddddddddddddddddddddddxxdddddddddddddddddddddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^?ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss|ddddddddddddddddddddddiiiiiiidiiiiiiiiid!d!dddddddddddddddddddddddddddddddddsssssddyssssdddfffffffddddbbbSSSSSbS~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zzz~~~~~~~~~~~~zdzzdddd#ddddddddddddddddddddddddddddddddddddddddxxdddddddddddddddddddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss|ddddddddddddddddddddddd!diiiiiiid!d!ddddddddddddddddddddddddddddddddddddddddd!d!dddsssssddffffffffddddbbbSSSSSbS~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddzzzzd~~dddddddddddddddddddddddddddddddddddddddddddddddddddddxddxxxdddddddddddddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dd~~~Sdddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddssssssssssfsfffffffyssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssd|ddddddddddddddddddddddddiiiiiiiiiiiddddddddddddddddddddddddddddddddddddddddddddddddyssssddffffffffddddbbSSSSSSS~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddxddddddddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSS~~~~~Sdddddddddddd^^^^^^^^^^^^^^^^^^^^^^^^^^^^^dddddddddssssssssssffffffffffffssssssssssssssssssssssssssssssssssssssssssssssssssssssssssdd|dddddddddddddddddddddddddiiiiiiid!dddddddddddddddddddddddddddddddddddddddddddddddddsssssddffffffffddddbbSSSSSSbS~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSddddSSSSSSdddddd^d^dddddCddddd^C^dddddddddddddddyssssssssf?ffffffffffffffssssssssssssssssssssssssssssssssssssssssssssssssssssssddd|ddddddddddddddddddddddddddiiiiiiidddddddddddddddddddddddddiiiddddddddddddddddddddddd!d!ddfffffffffddddbbbSSSSSbS~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^ddd~~~~ddddddbbbbdbbbddddddddddddddddddddddddddddddddddddddddddddddddddddddddddh!h!dddddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSS~~~~~~SSSSSSzzdzSSSSSSSSSddddddddddddddddddddysssssssssffffffffffffffysssssssssssssssssssssss%sssssssssssssssssssssssssssssddd|dddddddddddddddddddddddddddiiiiidddddddddddddddddddddddddiiiiiiddddddddddddddddddddddddfdfffffffffddddbbbbSSSbbS~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^d%ddddddddddbb~~~~~~~~bbbdbbdddddddddddddddddddddddddddddddddddddddddddddddddddddhhhdddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSS~~~~~~~~~Sddddddddddddddddddddyssssssssfffffffffffffffysssssssssssssssssssssssssssssssssssssssssssssssssssdddd|dddddddddddddddddd^^^^^^^^^^^^^ddddddddddddddddddddddddddiiiiiidddddddddddddddddddddffffffffffffffddddbbbbbbSbbS~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^ddddddddddddd~~~~~~~~~~~~~~~~bbbdddddddddddddddddddddddddddddddddddddddddddddddddd!h!hdddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSddddddddddddddddddsssssssssfffffffffffffffssssssssssssssssssssssssssssssssssssssssssssssssssssdddd|ddddddiiiiiidddd!d^^^^^^^^^^^^^^ddddddddddddddddddddddddiiiiiiiiddddddddddddddddddddfffffffFFfffffddddbbbbbbSbbS~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddd~~~~dddd~~~~~~~~bdddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSSSSSSddddddddddyssssssssfffffffffffffffysssssssssssssssssssssssssssssssssssssssssssssssssssdddd|ddddddiiiiiiiddd^^^^^^^^^^^^^^^^^^^dddddddddddddddddddddiiiiiiiiddddddddddddddddddddffffffFFFfffffddddbbbbbSSbS~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddd~~~~dddd~~~~~~~~ddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SS~~~~~~~~~~~~~~~~~~~~~~~~~Sdddddddddsssssssfsffffffffffffffffysssssssssssssssssssssssssssssssssssssssssssssssssssddd|ddddddiiiiiii^^^^^^^^^^^^^^^^^^^^^^^ddddddddddddddddddddiiiiiiiiddddddddddddddddddddffffffFFFffffdddddbbbSSSSbS~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddd~~~~ddd~~~~~~~ddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxdddxdddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SS~S~~SS~xSSS~~~~~~~~~~~~~~~~~~~~~~Sddddddddddsssssssfsfffffffffffffffssssssssssssssssssssssssssssssssssssssssssssssssssssddd|ddddddiiiiii%^^^^^^^^^^^^^^^^^^^^^^^^^ddddddddddddddddddiiiiiiiiddddddddddddddddddddffffffFFfffffdddddbbbS~~~S~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddd~~~~~~~~~~~~~~~~~~~~ddddddddddddddddddddddddddddddddddddddxxxxxxddddxxxddxxddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~S~~S~xxxSS~~~~~~~~~~~~~~~~~~~SSddddddddddddsssssffffffffffffffffffffyssssssssssssssssssssssssssssssssssssssssssssssssssdd|dd^^^^^^^^^^^^^^^^^fffffffffffffff^^^^^^^^ddddddddddddddiiiiiiiiddddddddddddddddddddffffffFFfffdddddddbbS~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddd~~~~dddddd~~~~~~~~~~~~~~~~~~~ddddddddddddddddddddddddddddddddxxdddxxxxdxxxxddxxxxxxxddxxddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~S~~~~~~~x~SS~~~~~~~~~~~~~~~~~~Sdddddddddddddddssssssffffffffffffffffffsssssssssssssssssssssssssssssssssssssssssssssssssssdd|^^^^^^^^^^^^^^^^^^ffffffffffffffff^^^^^^^^^^^dddddddddddiiiiiiiiddddddddddddddddddddffffffFFfffdddddddbbS~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddd~~~~ddddd~~~~ddd~~~~~~~~~ddddddddddddddddddddddzd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SS~SS~SS~SS~~~~~~~~~~~~~~~~~~~~SSSSSSddddddddddssssssffffffffffffffffffssssssssssssssssssssssssssssssssssssssssssssssssssdd|^^^^^^^^^^^^^^^^^^fffffffffffffffff^^^^^^^^^^^dddddddddddiiiiiidddffffffddddddddddddfffffffffffdddddddbS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^dddddddddd~~ddddddddddz~~~~~~~~~~~~ddzzddddddddddddzzzz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~S~S~SSS~~~~~~~~~~~~~~~~~~~~~Sddddddddddddddysssssffffffffffffffffffysssssssssssssssssssssssssssssssssssssssssssssssssdd|^^^^vvvvvvf^^^^^^^fffffffFFFfffffffff^^^^^^^^^^^^ddddddddiiiiiidddffffffffdddddddddddffffffffffddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^%ddddddddddddddddddddzz~~~~~~~~~~~~~~~~~~zzddzddddddz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Sddddddddddddyssssssffffffffffffffffffsssssssssssssssssss###ssssssssssssssssssssssssssssdd+^^^vvvvvvvvf^^^^^^fffffffFFFFFffffffff^^^^^^^^^^^^ddddddddiiiiddddffffffffffddddddddddfffffffddddddddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^dddddddddddddddddddzz~~~~~~~~~~~~~~~~~~~~~~~~zzzdddddz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Sdddddddddddddssssfssffffffffffffffffffyssssssssssssssssss####sssssssssssssssssssssssssssd/^^^vvvvvvvvvvvvvvfffffffFFFFfffffffffffffff^^^^^^^^^dddddddddddddddfffffffffffdddddddddfffffffdddddddddbS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddddddddddz~~~~~~~~~~~~~~~~~~~~~~~~~~~~zddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Sdddddddddddddssssssfsfffffffffffffffffysssssssssssssssssss#####ssssssssssssssssssssssssss/d^^vvvvvvvvvvvvvvvvffffffFFFFfffffffffffffffff^^^^^^^^ddddddddddddddfffffffffffdddddddddfffFfffdddddddddbS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddddddz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSddddddddddyssssfffffffffffffffffffysssssssssssssssssssss####yssssssssssssssssssssssss/d^^vvvvvvvvvvvvvvvvvvfffFFFFffffffffffffffffffffff%^^^^^dddddddddddddffffffffffffdddddddfffFFFfffddddddddbS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zdd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSddddddddsssssssffffffffffyssssssssssssssssssssssssssss####ssssssssssssssssssssssss/sd^^vvvvvvvvvvvvvvvvvffffFFFFfffffffffffffffffffffff^^^^^^^dddddddddddffffffffffffdddddddfffFFFfffddddddddbS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Sddddddddddysssssssffffffffysssssssssssssssssssssssssssss####yssssssssssssssssssssss/s^^^^vvvvvvvv^vvvvvvvffffffffffffffffffffffffffffffffff^^^^^^^dddddddffffffffffffffdfdfdfffffFFFfffffddddddbS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Sdddddddddssssssssfffffffffffsssssssssssssssssssssssssss###yssssssssssssssssssssss/s^^^^^vvvvvff^^^^vvvvffffffffffffffffffffffffffffffffffff^^^^^^^ddddffffffffffffffffffffffffffFFFffffffffddddS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSdddddddddysssssssfffffffffffssssssssssssssssssssssssssssssssssssssssssssssssssss/ss^^^^^vvvvvv^^^^^vvvvvfffffffffffffffffffffffffffffffffff^^^^^^^^fffffffffffffffffffffffffffffFFFffffffffffbbS~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~v+vvv~~~~~~~~~~~~~~~~~~~~~~ddd~dddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Sdddddddddddsssssfssfffffffffffsssssssssssssssssssssssssssssssssssssssssssssssssss+sss^^^^vvvvvvf^^^^^^vvvfffffffffffffffffFFFFFFFFFFFFFFFffff^^^^^^^FFFFFFFFFFFfffffffffffffffffffFFFffffffbbbbbS~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vv/vv~~~~~~~~~~~~~~~~~~~~~~~~~~ddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSSSSSddddddddddysssssfsfffffffffffffsssssfsssssssssssssssssssssssssssssssssssssssssss|sss^^^vvvvvvvvvv^^^^ffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffF^^^^^^^FFFFFFFFFFFFFFFFFFFFFFff#######FFffbbbbbSSS~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^vvvv/v~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSiiiddddddddddddddsssssfffffffffffffffffsssfssssssssssssssssssssssssssssssssssssssssssss|sss^^^vvvvvvvvvf^^^^^fFFFFFF###FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF^^^^FFFFFFFFFFFFFFFFFFFFFFFFFF#######F?SSSbbS~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvv/vvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Siiiiiidddddddddddddddssssssffffffffffffffffffsssssssssssssssssssssssssssssssssssssssssssss|sss^^^vvvvv?CvvCC^^^^FFFFFF#####FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF#########S~~~SS~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^vv/vvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fff~~~~ffffz~~~~~~~~~~~~~~fffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSiiiiiiddddddddddddddddyssssssffffffffffffffffssssssssssssssssssssssssssssssssssssssssssssss|sss^^^vvvvvvvvvCv^^^^FFFFF###?###FFFFFFFFFFFFFFFFFFFFFFFFFFFFFSSFFFFFFFFFFFFFFFF%FFFFFFFFFF#########S~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^v+vvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~zz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffff~~~~~~~~~~~~~~~~~~~~ff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Siiiiiiidddddddddddddddddddsssssffffffffffffssssfsssssssssssssssssssssssssssssssssssssssssssss|sss^^^vvvvvvvvvv^^^^^FFFFF#######FFFFFFFFFFFFFFFFFFFFFFFFFFFFSSFFFFFFFFFFFFFFFFFFFFFFFFFFFF#####fff#S~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^vv|vvv~~~~~~~~~~~~~~~~~~~~~~~~~~zzxdddzssz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffff~~~~z~~~~~~~~~~~~~~~~~~~~vvffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Siiiiiiidddddddddddddddddddddssssfffffffffffssssssfssssssssssssssssssssssssssssssssssssssssssss|sss^^^vvvvvvvf^^^^^^^FFFFF#######FFFFFFFFFFFFFFFFFFFFFFFFFFFFSFFFFFFFFFFFFFFFFFFFFFFFFFFFFF####ff#f#S~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^vv|vvv~~~~~~~~~~~~~~~~~~~~~~~~zzdxdd?dddss~~ss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Siiiiiiidddddddddddddddddddddddfysfffffffffffsssssfsssssssssssssssssssssssssssssssssssssssssssss|sss^^^^^^^^^^^^^^^^^ffFFFF#fffff#FFFFFFFFFFFFFFFFFFFFSSSFFFSSSFFFFFFFFFFFFFFFFFFFFFFFFFFFFF##fff##ffS~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~?+--+vv~~~~~~~~~~~~~~~~~~~~~~~~~~~~zzddddddszzssz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSSiddddddddddiiiiidddddddddddfyfffffffffffssssfssssssssssssssssssssssssssssssssssssssssssssss|sss^^^^^^^^^^^^^^^^ffffffffffffffFFFFFFFFFFFFFFFFFFFFFFSSSSS~SSFFFFSSSFFFFFFFFFFFFFFFFFFFFfffffffSSS~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~/vvvvvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zszzzssssz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSddddddddiiiiiddddddddddffffffffffffffffffsssssssssssssssssssssssssssssssssssssssssssssss|sssss%df^^^^^^^^^fffffffffffffffffffffffFFFFFFFFFFFFFFFFFFS~~~SFFFS~~~SSSSFFFFfffffffffffffffffFS~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zzz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSdddddiiiiiiddddddddddddffffffffffffssssfssssssssssssssssssssssssssssssssssssssssssssss+sssssdddf^^^^^^^ffffffffffffffffffffffffffffffffffffffffffSS~~SSSS~~~~~~~~SSffffffffffffSSSSSSSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Sddddiiiiiidddddddddddddfffffffffffdysssfssssssssssssssssssssssssssssssssssssssssssssss\ssssddddffffffffffffffffffffffffffffffffffffffffffffffffffS~~~~~~~~~~~~~~~~SfffffffSSSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSSSSdiiiiiiidddddddddddddfffffffffffddyssssssssssssssssssssssssssssssssssssssssssssssssss\sssdddfffffffffffffffffffffffffffffffffffffffffSSSSSSSSSSS~~~~~~~~~~~~~~~~~SSSSSSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~f~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~f%ff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Sdddddiiiiiiiiidddddddddddddfffffffffffdddddyssssssssssssssssssssssssssssssssssssssssssssssss\ssdddffffffffffffffffffffffffffffffffffffffffffffffS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSSSSiiiiiiiidddddddddddfffffffffffffdddddssssssssssssssssssssssssssssssssssssssssssssssssss\sdddffffffffffffffffffffffffffffffffffffSSSSffffffS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvC^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~f~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Siiiiiiiiiiidddddddddffffffffffffffffddddddssssssssssssssssssssssssssssssssssssssssssssssssss\dddfffffffffffffffffffffffffffffffffffS~~~~SSSSSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vv?C^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Sdiiiiiiiiiiidddddddffffffffffffffffdddddddddssssssssssssssssssssssssssssssssssssssssssssssssss\dddffffffffffffffffffffffffffffdddddS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~dd^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvf^^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Siiiiiiiiiidddddddffffffffffffffffffddddddddddysssssssssssssssssssssssssssssssssssssssssssssssy\ddddddfffffffffffffffffffddddddddSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~dd^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hh~~~~=~~^^^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Sdiiiiiiiidddddddddfffffffffffffffffffdddddddddssssssssssssssssssssssssssssssssssssssssssssssssyy\dddddddddddddddddddddddddddddddS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~dddd^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhh~RR=r~~^^^^^^^^^^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hh~~~~~~~~~~~~~~~~~~~ddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Siiiiiiiidddddddddffffffffffffffffffffdddddddddsssssssssssssssssssssssssssssssssssssssssssssssyyy\dddddddddddddddddddddddddddddddS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~ddd?^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhh+==R~^^^^^^^^^^^^^^^^^~~~~~~~~~~zz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhh~~~~~~~~~~~~~~~~~dddddd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Siiiiidddddddddddfffffffffffffffffffffdddddddddssssssssssssssssssssssssssssssssssssssssssssssyyyd\ddddddddddddddiiidddddddddddddiSSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~i~~~~~~~~~~~
~~~~~dddd^^^^~~~~~~~~~~~~~~~~~~~~~~hhhhhhhvhh|hrRRr^^^^^^^^^^!!^^^^^^~~~~~~zzdz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhh#h^^^~~~~~~~~~~~~~vrdd~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Siiiiidddddddddddfffffffffffffffffffffdddddddddddyssssssssssssssssssssssssssssssssssssssssssssyyyd\ddddddddddddhiiiidddddddddddddiiiSSSSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~^^^~~~~~~~~~~~~~~^^^hrrrrrhhrrvhhh|vrRrrrrr^^^^^^!!^!^^^^~~~~~zzddddz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhh|^^^^^^~~~~~~~~~vrrrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Siiiiiidddddddddffffffffffffffffffffffffddddddddddssssssssssssssssssssssssssssssssssssssssssssssyydd\ddddddddddhhi^^ihddddddddddddddiiiiiiS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~^^~~~~~~~~~~~~~~~~^^^^hrrrrrrrrvvvhv+vrrRRrrrr^^^^^^!!^^^^^~~~~~~zd?dddz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhh|?^^^~~~~~~~~~~vrrs^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSSSidddddddfffffffffffffFFFFfffffffffdddddddddddsssssssssssssssssssssssssssssssssssssssssssssyyydd\ddddddddddhi^!^hhdddddddddddddddddSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Cdddff~~~fffFFF~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~^^^hrrrrrrrrvvvvv/vvvrRrrr^^^^^^^!!!^^^^~~~~~~~zddddzz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhh+^^^^^~~~~~~~~vrr^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SdddddddfffffffffffffFFFFFFffffffffffdddddddddddsssssssssssssssssssssssssssssssssssssssssssssyyydd\dddddddhhhi^^^iddddddddddddddddddzzS~S~~~~~~~~~~~~~~~~~~~~~~~~~~~~dddddddfffff~~fFFFFF~~~~iii~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~^^^hhhrrrrrrvvvvv/vvvrrRRr^^^^^^^^!!^^^^^~~~~~~~~zzdz~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhhhhf\^^~~~~~~~~~~vrr^^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SdddddddfffffffffffffFFFFffffffffffffdddddddddddddyssssssssssssssssssssssssssssssssyyypppssssyyyddd\ddddddddhii^^iiiddddddddddddddddypsszS~~~~~~~~~~~~~~~~~~~~~~~dd?dddd~~~~ffffff~~~FFFFf~~ii~~~~~~~i~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~^^^hhrrrrrrrrvvv/vvvvvrRrrrr^^^^^^^^^^^^~~~~~~~~~~^z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhhhff+^^~~^~~~~vvvrr^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSdddddffffffffffffFFFffffffffffffffddddddddddddddyssssssssssssssssssssssssssffffffffffffssssyydddd\ddddddyhiiiiiiiiiiiiiiiiiidddddppssszS~~~~~~~~~~~~~~~~~~~~~~~~iiid~~dddffpppffffFFF~~~~iii~~~~~~i~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~^^hhrrrrrrrrvvv+vvvvvvvrRRrrr^^^^^^^^^^~~~~~~~~~~^^^z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhhhfff|^^^^^vv~~vvvrr^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SddddSSSSSSSfffffFFFfffffffffffffffdddddddddddddddssssssssssssssssssssssssffffffffffffpfpssyydydyd\yddddyhiiii^^^^^^^ppyyFyyiyfpppssrszSS~~~~~~~~~~~~~~~~~~~~~~~~~d~~~~dffpp?pfffFFFf~~iiiihihiiii~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~^^^hrrrrrrrrrvvvvv\vvvvvfrrrRrrrr^^^^^^^^~~~~~~~~~~^^^zx~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhhhfff|^^^^^vvvvvvvrr^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSS~~~~~~~SSSSSSSSfffffffffffffffddddddddddddddddssssssssssssssssssssffffffffffffffffffppyyyyyyyy\yyyyyyyiii^ccccc^pypffffyyffFFfssrrrrS~~~~~~~~~~~~~~~~~~~~~~~~~~dddddffpppffffFFF~~iiiihhhhh~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~^^^^^rrrrrrrrrvvvvvvv\vvvvv^rrrRrrrrr^^^^^~~~~~~~~~~^^^^z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhfff|^^!^^vvvyyvvrr?^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSSSSSSfffffffdddddddddddddddddsssssssssssssssssssffffffff?fffffffffffyyyyyyyyy\yyyyyy/--=ccccc=--#FFpFppfFF#FfysyybS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddffffffffFFFffiiiihhhhhiii~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~^^^^^^^^rrrrrrrrvvvvvvvvv\vvvf^^^rrRrrr^^^^^~~~~~~~~~~^^^^^^z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhffff|^^!^^vvyyyvvrrf^^^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~v?vvvvrff~~~~~~~~~~~~zzffffff~~~~~~fffff~~~~~~~~~~f~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSSSSSSSSSSSfffffdddddddddddddddddssssssssssssssssssffffffffffffffffffffyyyyyyyyyy+----/hhh^ccccc^ffffFfFpffffffffyybbS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~dffffffffFFFffiiiihh^hhiii~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~^^^^^^^^rrrrrrrrvvvvvvvvvvv\vvv^^^rrrRRrr^^^^~~~~~~~~~~~~^^^^zx~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhfffff|^!^^^vvvvyyvrrd^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~vvvvvvvvfffff~~~~~~ffffffffffff~~zff~~fffff~~~~~~fffffF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~S?ffffFFFFFffffffffdddddddddddddddddddysssssssssssssssffffffffffffffffffffyfyfyyyyyyy\hhhhppp^^^=^^^ffssFFppffpfppfpyybS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fff~~FFFffiiiihh%hhii~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^^^^^rrrrrrrrrrvvvvvvvvvvv+vf^^^rrrRRRrr^^~~~~~~~~~~~~^^^^^zfffysss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffff|^^!^^^vvvyvvrrf^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fvvvrrrfffffff~~~~~~~~fffffffffffffffffffff~~~~~zffffFFFFFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SffffFFFFFffffffffdddddddddddddddddddsssssssssssssssffffffffffffffffffffffyfyfyfyyyyy\hpff^hpph|fffssfssFpppppppfffffbS~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddd~~~~~~~~fFfffiiiihh^hhiii~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~^^^^^^rrrrrrrrrvvvvvvvvvvv/vvv^^^^rrrRRRR~~~~~~~~~~~^^^^^^^^zffffyssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffff|^^^^^^^vvvyvrrf^^~~~~^Cv~~~~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffffffffff~~~~~~fffffffffffffffffffFFFf?FFFFfff~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSSSSSSSfFFFFFFFfffffffddddddddddddddddddddssssssssssssfffffffffffffffffffffffffffyfyfyyyyy\pf^V^hhh+--+#ffFFFpffffffffffpbbS~~~~~~~~~~~~~~~~~~~~~~~~~~ddddddffFFfffffffffiiiihhhhh~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~^^^^^^rrrrrrrrrvvvvvvvvvvv+vvvf^^^^^rrrR~~~~~~~~~~~~~^^^^^^^^ffffysssssssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhfffff+^^^^^^^vvvvvrrf^^^~^^^^vv~~~~~~~~~~~~~~~~~~~~f##fffffffffffffffffffffffff~~~~~~FFfffffffffffffffffFFFFffffFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SffffffffffFFFFFFFfffffffffffffdddddddddddddddsssssssssssffffffffffffffffffffffffffyfyfyfyyCCy\pf^fph/ffbhrCfffFppfffbffyfpypbS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddfFFFfffffffdiiiiihi~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~^^^^^^rrrrrrrrrvvvvvvvvvvvv|vvvv^^^^^^^r~~~~~~~~~~~~~~^^^^^^^^fzfffyssssssssssssssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhffffff\^^^^^vvvvvvrrf^^^^^^^ffff+-+~~~~~~~~~~~+===+--##fffffffffffffffff~~~~~~~~~~FFFFFffzffffffffffffffFFFff~~fFFF~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSSfffffffFFFFFFFfffffffffffffffffddddddddddddssssssss+---------------------------------------+----+yfbSrrppfffppppbrbyffppybS~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddddd~~fff~~ffffdiiii~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~^^^^rrrrrrrrvvvvvvvvvvvvv|vvv^^^^^^^^^^^~~~~~~~~~~~^^^^^rrrrrrrfysssssssssssssssssssss~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffhhffffffff\^^^^^vvvvrrff^^^fffffff/vvv\ffffffffv/v~~~~fffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffff~~FFFff~~~~ffFFF~~~~~~~~~~~~~~~~~~~~~SSSSSfffffffffffFFFFFFFfffffffffffffffffffffdddddddddssssss/ssffffffffffffffffffffffffffyfyfyyyyyyyyy\ffyffpbSSrrrrrrbbbbbrrbbbb#bS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ddd~~~~f~~~~fffddiiiii~~iiiii~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^^rrrrrrrrvvvvvvvvvvvvvv+vvf^^^^^^^^^^^^~~~~~~~~~~^^RRRRRRRRrrfssssssssssslllsssssssFFFFFFFFFff~~~~~~~~~~~~~~~~~~~~fffff?hfffffffff\^vvrrrrrrrff^^jffffff+ffvvv+-+fffff/vv~~~~~~~~ffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SffffffffffffSSSSSSFFFFFFfffffffffffffffffffffffddddddddyss/sssfffffffffffffffffffffffffyffyyyyyyyyyyyy\fppppbbbbrrrrrrrrrbrrrrrbb\bSSSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffddiiiiiiiiiiii~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^rrrrrrrrrrvvvvvvvvvvvvvv\vv^^^^^^^^^^^^f~~~~~~~~~~~~~RRrRRRrrrrssssssssllllllsssssssFFFFFFFFFFffff~~~~~~~FFFF~~~~~~fffFFFffffffffvv+rrrrrrrrrff^^jjfffff|ffvvvrrf\fff/vvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSSfffffffffSSSSSSSSSSFFFFfffffffffffffffffffffffffddddddss/ssssffffffffffffffffffffffffffyyyfyyyyyyyyyyy\pfffppbrrrrrrrrrrrrrrrbyyy\bbbbSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~dfffffffffdiii~~iiii~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~^rrrrrrrrrvvvvvvhhhhvvvvvv\^^^!!^^^!^^^^fz~~~~~~~~~~~RRR^^rrRrrrrsssssssslllllssssssssssFsFFFFFffff~~~~~~FFFb~~~~~~ffffFffffffffffvv|rrrffffffff^^jjj^^h^|fvvvrffff+-+ffvvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SffffffffffSSSSSSSSFFFFFFFFFfffffffffffffffffffffffffffddddd/ssssssffffffffffffffffffffffffyyfyyyyyyyyyyyyyy\sffpbrrrrrrrrrrrrrrbyyyyyy\yyyybS~~~~~~~~~~~~~~~~~~~~~~~~~~dddff~~~~fddii~~~~iiiiiii~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~SSSSrrrrrrvvvvvhhhhhhvvvvvvv+^^!!^!!^^^^fffzz~~~~~~~~^^^^^^rrRRrrrrssssssllllllllsssFFFssFsFFsFFFF~~~~FFFFFFb~~~~~~ffffffffffffffffvv|rffffffffff^^^^^^^^h+fvvvffffffff\ffvvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSSfffSSSSSSfffffFFFFFFFFFffffffffffffffffffffffffffffddd/yssssssfffffffffffffffffffffyffyfyyyyyyyyyyyyyyyy\ppbrrrrrrrrrrrrrrrrbybbbby\yyyybS~~~~~~~~~~~~~~~~~~~~~~dddd~~dddd~~~ddi~~iiiiii~~i~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~SSSrrrrrrrvvvvhhhh^hhhvvvvvvv/v^^!!!^^^^Cfffffzzzz^^^^^^v^^^rrrRrrrrrsssllllllllllssFF?FssssssFFFFF~~FFFFFFFFbb~~~~ffffffffffffffFffvv|vvvvfvvvvvfv^^v^^^^^h\ffffffffffff+-+vvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSS~SfffffffffFFFFFFFFFffffffffffffffffffffffffffffdd/dsssssssfffffffffffffffffffffyyffssssyyyyyyyyyyyyyy+brrrrrrrrrrrrrrrrrrbrrrrbb+bbbbS~~~~~~~~~~~~~~~~~~~~dd~~~~~~~~ddd~~dd~~~~i~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~SSSSrrrrrrvvvvhhh^^^hhhhvvvvv/v^^^!^^www^^fffFffff^^^^^vCv^^rrrrRrrssssssslllsslllssssFFFFsFFsFFFFFFFFFFFFFFFFFFb~~ffffffffffffffFFFfvv|vvvvvvvvvvvvvvvvv^^^hh\ffffffffffffff\vvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSSSSSffFFFFFFFFFffffffffffffffffffffffffffffd/ddysssssssfffffffffffffffffffff?ysssssyyyyyyyyyyyyyy|rrrrrrrrrrrrrrrrrrrrrrrrrr=rSSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~SSSSSrrrrrrvvvhhhh^^^hhhhvvvvv+v^^^!!^^wRR^fffFFfff^^^^vvvvv^^^rrrRrrrsssssllllllssssssFFFFFFFsFFFFFFFFFFFfFFFFFFFFFFFFFFFfffffffffFFFfvv|vvvvvvvvv%vvvvvv^^^hhhf+fFFFFFFFFFFFFF+-+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSSS~~SSSSS~~SSSSSFFFFFFFFFFFFFFFfFFfffffffffffffffffff/ddddysssssssffffffffffffffffffffyssssssssssyyyyyyyyy++rrrrrrrrrrrrrrrrrrrrrrrrrr=rSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~SSSSrrrrrvvvhh^^hh^^^hhhvvvv/v^^^^!^^^wRR^rfffFfff^^^vvvvvvvvrrrRRrrrssssrrlllllllssssFFsFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffFFFfvv|vvvvvvvvvvvvvvv^^^C^hf/fFFFFFFFFFFFFFFFFF\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SFFFFFSSFFFFFSSFFFFFFFFFFFFFFFFFFFFFFFFfffffffffffffffff/dddddsssssssssffffffffffffffffyssssssssssssssyyyyyyyy++Crrrrrrrrrrrrrrrrrrrrrrrbb#bbbSS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~zz~z~~~~~SSSSrrrvvhhh^^^^^^hhhhhvvv/vh^^^^^^^^^RRRrfffffff^^^vvvvv^^vrrrRrrrrrrsrrsslslsllsssFFssFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffFFFfvv|vvvvvvvvvvvvvvf^^^C^h/ffFFFFFFFFFFFFFFFFFF+-+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffffffffffd/dddddddssssssssssssssssssssssssssssssssssssssssyyyyyyyyCCrrrrrrrrrrrrrrrrrrrrrbbbffpfbbbS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~zzvvzvzzvzzSSSSSSrrvhhhhh^^^hh^hhvvv/vhh^^^^^^^rRRrrrfffffff^^vvvv^^^^^rrRRrrrssrrrsssssslssssssssssFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffFFFfvv|rf^^^^vv^^^^^^^^^^^^+ffffFFFFFFFFFFFFFFFFFFFF\F~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSSSSFFFFFFFFFFFFFFFFFF%FFFFFFFFFFFFFffffffffffffffdd/ddddddddyssssssssssssssssssssssssssssssssssssssssyyyyyyrrrrrrrrrrrrRRrrrrrrrrrbbffFFfppbbbS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~zvvvvyyyvvvzSSSSSSSvhh^^hhh^^^^^hhvv/vvhh^^^^^^^RRRRrrffffff^^^vvvv^^^^rrRRRrrssssrssssssssssssFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFCC|rr^^^^^^^^^^ff^^^^^f|ffffff?ffffffffffffffffff+-+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SFFFFFFFFFFFFFfffffFFFFFFFFFfffffffffffffffffffffddd/ddddddddddyssssssssssssssssssssssssssssssssssssssssyyyyyrrrrrrrrrrrRrRRRRrrrrrrrbbfF#FfpbS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~zzvvvyyyvzSSSSSSSvvh^^^^h^^^^^hhhv/vvhh^^^^^^^^^RRRRRrrffff^^vvvv^^^^rrrrRRrryssssssssssssssssFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFffFFFFFCC|rr^?^^^^^^fff^f^^^ff|ffffffffffffffffffffffffffff\ff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSfffffffffffffffffffFFFFFFFFFffffffffffffffffffffddd/ddddddddddddyssssssssssssssssssssssssssssssssssssssssyyrrrrrrrrrrrrrrRRRrRrrrrrrrrrbpCFfppbS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~zvyvzSSSSSSS~~h^^^^hh^^^^^hhv/vvvhh^^^^^^^^^^^RRRRRrrf^^^vvvv^^^^rrrrRrrrsssssssssssssssssFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF+---------+==------------------+fffffffffffffffffffffffffffff+-+f~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ff~~~~~~~~~~~~~~~~~~~~~Sffffffffffffffffff~~~~FFFFFFFFfffffffffffffffffffddd/ddddddddddddddysssssssssssssssssssssssssssssssssssssssrrrrrrrrrrrrrrRRRRRRRrrrrrrrrrbpCfffbbbSrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~zvvvzSSSSSS~~~^^^^^^hC^^^^hv/vvvvhh^^^^^^^^^^^^hhRRRRr^^vvvv^^^^^rrrrrrrrysssssllssssssllsFFFFFFFFssFFFFFFFFFFFF+-+FFFFFFFFFFFFFFFF/fffFFFFFfv|rrfffffffffffffffffffffffffffffffffffffffffffffffffff\fffvvv~~~~~~~~ffff~~~~zff~~~~f~~~~~~~~~~fffff?f~~~~~~~~~~~~~~~~~~~~~SSSffffffffffff~~~~~~~~FFFFFFFffffffffffffffffddddd/dddddddddddddddssssssssssssssssssssssssssssssssssssssssrrrrrrrrrrrrrrrRrRRRrRrRrrrrrrbbffpbbbrrrrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~zzzSSSSSS~~~wr^^^^^^^^^hv/vvvvvh^^^^^^^^^^^^hhhhhRRRr^^vv^^^^^rrrrrrrrrrsssssslssssssslFFFFFFsssFFFFFFFFFFFFF/FFF\FFFFFFFFFFFFFF/ffffFFFFFfv|rrfffffffffffffffffffffffffffffffffffFFFFfffffffffffff+-+fvvv~xxvvvv~ff~~~~~~~fff~~ffff~~~~fffffffffFff~~~~~~~~~~~~~~~~~~~~~~SSSffff~~~~~~~~~~fFFFFFFFFFffffffffffffffffdddd/dddddddddddddddddsssssssssssssssssssssssssssssssssssssssrrrrrrrrrrrrrrrrRRRRRRrrrrrrrrrbppbrrrrrrrrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~SSSSSS~~~^^r^^^^^^^^hv/hvvvvvv^^^^^^^^^^^^hhhhhhyRRRr^^^^^^^^rrrrrrrryssssssssssssslssFFsssssFFFFFFFFFFFFF/fFFff+----+ffFFfff/fffffFFFFFvv|rrfffffffffffffffffffffffffffffffffffffffFFffffffffffffff\vv#fffvvvvvv~ff~~zzffffffff~~fffffff~~fff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SS~~~~~~~~~~fffFFFFFFFFFffffffffffffffddddd/dddddddddddddddddddssssssssssssssssssssssssssssssssssssssrrrrrrrrrrrrrrRrRRRRRRrRrRrrrrbbbbbrrrrrrrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~SSSSSS~~~^^^!^^^^^^^h/hhhvvvff^^^^^^^^^^^hhhhhhhhhRRRr^^^^^^rrrrrrrrrsssssssssssssssssssssFFFFFFFFFFFFF+-+ffffffffffff\ffFFf/ffffffFFFFFvv|rrffffffffffffffffffffffffffffffffffffffffffffffffffffffff+-+~fffvv?~~~~fffffvvv~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~S~~~~ffffffffffffFFFFFFFffffffffffffffddddd/ddddddddddddddddddddddysssssssssssssssssssssssssssssssssrrrrrrrrrrrrrrrrrRRRRRRRrrrrrrrrrrrrrrrrrrrrrrrrrr~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~SSSSS~~~^^!!^^^^^^^h+hhhvvvf^ff^^^^^^^^^hhhhhhhhh^^RRRr^^^^^rrrrrrrrssssssssssssssssssFFFssFFFFFFFFFFF/ffffffffffffffff\fff/fffffffFFFFFvv|rffffffffffffffffffffffffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~C~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SffffffffffffffffFFFFFFFfffffffffffffdddii/ddddddiiiiiiddddddddddddyssssssssssssssssssssssssssssrrrrrrrrrrrrrrrrrrRRRRRRRRRRRrRrrrrrrrrrrrrrrrrrriiiiiS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~SSS~~~~^^^!^^^C^^hh|hhvvvvfff^^^^^^^^^^^hhhvhhhh^^RRRr^^^^^rrrrrrrsssxssssllsssssssssFFFFFFFFFFFFFFF/ffffffffffffffffff\f/ffffffffFFFFFvv|rfffffffff~~~~ffff~~~~~~fff~~~~~~~~ffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSSfffffffffffffFFFFFFFfffffffffffffdddi/iddddddiiiiiiddddddddddddddssssssssssssssssssssssssssssrrrrrrrrrrrrrrrrRRRrRRRRRRrRrrrrrrrrrrrrriiiiiiiiiiiS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~SSSSSS~~~~~^^^^i^^hih|vvvvvvv^^^^^^^^^^^^hhhhvhhh^^^RRRr^^^^rrrrrrrrssxxssssslllssssyssFFFFFFFFFFFFFF/ffffffffffffffffffff+fffffffffFFFFFvv|rrrffff~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SffffffffffffFFFFFFFffffffffffffdddd/iidddddiiiiiiidddddddddddddddssssssssssssssssssssssssssssrrrrrrrrrrrrrrRRrRRRRRRRRRRrRrrrrrrrrdddiiiiiiiiiiS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~SSSSS~~~~^^ii^iiiiihh|vvyvvv^^^^^^^^^^^^^^hhvhhhhh^RRRr^^^^^rrrrrrrrxxssssssxsxsxsxssssffffFFffffFFf/fffffffffffffffffffffffffffffffFFFFFvv|rffffbbf~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSfffffffffffFFFFFfffffffffffffddd/iiidddddiiiiiiidddddddddddddddddddddddysssssssssssssssssssrrrrrrrrrrrrrrRrRRrRRRRRRRrrrrrrrrddddddiiiiiiiiiS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~SSSSS~~^^^^iiiiiiivv|yyy?vf^^^^^^^^^^^^^hhhhvhhh^^RRRr^^^^rrrrrrrrxxxyssssssxxsxssssssfffff+------+ffffffffffffffffffffffffffffffffFFFFFvv|rfbbbb~~~~~~~f~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SfSSSSfffffFFFFFfffffffffffffdd/diiidddddiiiiiiidddddddddddddddddddddddddssssssssssssssssssssrrrrrrrrrrrrrRRrRrRRrRRRRrRrrrrrrdddddiiiiiiiiiS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~SSSSS~~C^^^^^iiiiivv|yyvvff^^^^^^^^^^^^^hhhvhhhh^RRRr^^^^^rrrrrrrxxxxxsssssxssxsssssssffff/fffffffffffffffffffffffffffffffffffffffFFFFFFvv|rbbbb~~~~~~ffff~~~~~~ff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~S~~~~SSSSfFFFFFffffffffffffdd/ddiiidddddddddiiidddddddddddddddddddddddddyssssssssssssssssssssdrrrrrrrrrrrrRRrRRRRRRRRRrrrrrrrrddddiiiiiiiiiS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~SSSSSSS~Cvvvvvv+-----+vvv^^^^^^^^^^^^^^^^hhhhvrrRRRRrr^^^rrrrrrrrxxxxxxsss+---+xssssssssff/ffffffF!F!FffffffffffffffffffffffffffffFFFFFFFvv|rb~~~~~~~~ffffffffffffff~~~~ffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ff~~~~~~~~~~~SSSSSSffffffffffddd/dddiiiiiiiiidddiiiddddddd###ddddddddddddddddddddyssssssssssssdddddddrrrrrrrrrrRRRRRRRRRRrrrrrrrdrrdddiiiiiiiiS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~SSSSSSSvvvyvvv/vvvvvvvvff^^^^^^^^^^^^^^^hhhhhhrrRRRRRRrr^^rrrrrrxxxxxxsss/ssxxx\xxxsxssff/ffffffff~~~~f~~ff~~fffffffffffffffffffF?fFFFFFFvv|rbb~~~~ffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffff~~~~~~~~~SSSSSffddddd/ddddiiiiiiiiiiiiiiiddddddd#?#ddddddddddddddddddddsssssssssssdddddddddrrrrrrrrrrrRRRRRRRrRrrrrrrrrrrddddiiiiiiiS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~SSSSSSSSvyyvv/vvvyyvvvvfff^^^^^^^^^^hh^hhhhhhhhrrRRRRRRrrrrrrrrrrxxxxsxs/s~~~~~~\xxsxxxs/fffffff~~~~~~~~~~~~~~~~~fffffffffffffffffffffFFFvv|rrbb~~ffffffffffffffffffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffff~~~~~~~~~~SSdddd/dddddiiiiiiiiiiiiiiiddddddd###ddddddddddddddddddddysssssssddddddddddddrrrrrrrrrrRrRRRRRRRRRRrrrrrrrrddddddddddzS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~SSSSSSSvvvvv/vvvyyyvvvfff^^^^^^^^^^^^hhhhhhhhhhrrRRRRRRrrrrrrrrxxxxxxxs/~~~~~~~~x+-----+fffff~~~~~~~~~~~~~~~~~~~ffffffffffffffffffffFFFFFvv|rrfbbffffffffffffffffffffffff?fff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffffff~~~~~~~~Sddd/ddddddddddddiiiiiiiiiddddddddddddddddddddddddddddddddddddddddddddddddddrrrrrrrrrrRRRRRRRrRRrrrrrrdddddddddddddzS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~SSSSSS~~~~~~~~vvvvyvvvfffv^^^^^^^^^^^^^h^hhhhhhrrRRRRRRRRrrrrrrx+------+~~~~~~~~~~~~xxx~~~~~~ff~~~~~~~~~~~ff~~~~~~~~fffffffffffffffffFFFFFfv+vrfffffffffffffffffffff~~fffffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ffffffffffff~~~~C-==-+ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddrrrrrrrrrrrRRRRRRRrrrrrrdddddddddddddiiiS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~SSSSS~~~~~~~~~vvvvvvvv^^^vv^^^^^^^^^^^^^^^hhhhhrrRRRRRRRrrrrrxx/xx~~~~~~~~~~~~~~~~~~~x~~~~~~~~~~~~ff~~f~~fffffff~~fffffffffffffffffffFF~~Ff/vvrfffffffffffffffffff~~~~f~~fffffffff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffffffffff~~~~~SddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddrrrrrrrrrrRRRRRrRRRRRrrrdddddddddiiiiiiiS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~SSSS~~~~~~~vvvvvvvv^vv^vv^^^^^^!^^^^^^^^^hhhhrrRRRRRRRRrrxxxx/x~~~~~~~~~~~~~~~~~~~~x~~~~~~~~~~ffffffffffffffffffffFfffffffffffffffffF~~FF+vvvrfffffffffffffffffffffff~~~~~~~~fff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~fffff~~~~~~~~~~~~~SSSSSdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddrrrrrrrrrrRrRRRrRRRrrrrrdddddddddiiiiiiS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~SSSS~~~~~~~~~~vvvv?^^^vvv^^^^^^!^^^^^hhhh^hhhh+==========+---+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zfffffffffffffffFFFFfffffffffffffffFF~~F|vvvrfffffffffffffffffffffffff~~~~~~ff~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SSddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddrrrrrrrrrrrRRRRRRrRrRrrrdddddddddiiiiiiS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~SSSS~~~~^^^^vv^^^^^^^^^^^^^!!^^^^CC^hh^hhh/h~RRRRRRRRR~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~zfffffffffffFFFFFfffffffffffffF~~FF|vvvrffffffffffiiiiiihhhiiiiiiii~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~SiiiiSSSiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiidddrrrrrrrrrrrrRRRRRRRrrrrrdddddddddiiiiiiS~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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