--........................--------------------.........----------------------------------...........................--------+++++++++OOOOOOOOO###############OOOOOOOOO++++++++++++++++++++++++++++++++OOOOOOOOOOOOOOOO++++++++++++++++++++++++++++++++++++
---......................-----------------------------------------------------------------..........................---------++++++++OOOOOOOOO##############OOOOOOOOOO++++++++++++++++++++++++++++++++++++OOOOOOOO++++++++++++++++++++++++++++++++++++++++
----...................--------------------------------------------------------------------..........................--------+++++++++OOOOOOOOOO###########OOOOOOOOOOO++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
-----................-----------------------------------------------------------------------..........................--------+++++++++OOOOOOOOOOO#######OOOOOOOOOOOO+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
------.............----------------------------------------++++++++++++++++++++++------------..........................--------+++++++++OOOOOOOOOOOOOOOOOOOOOOOOOOO++++++++++++------------++++++++++++++++++++++++++++++++------+++++++++++++++++++++++++
-------.........----------------++++++++++++----+++++++++++++++++++++++++++++++++++++----------.........................--------+++++++++OOOOOOOOOOOOOOOOOOOOOOOO++++++++++-----------------------+++++++++++++++++++++--------------+++++++++++++++++++++
---------...-----------------++++++++++++++++++++++++++++++++++++++++++++++++++++++++++---------........................---------+++++++++OOOOOOOOOOOOOOOOOOOOO++++++++++---------------------------------------------------------------++++++++++++++++++
---------------------------++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++---------......................----------++++++++++OOOOOOOOOOOOOOOOO++++++++++-------------------------------------------------------------------++++++++++++++++
--------------------------++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++---------.....................-----------++++++++++OOOOOOOOOOOOOOO+++++++++-----------------------------------------------------.....-------------++++++++++++++
-------------------------+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++-----------..................------------++++++++++++OOOOOOOOOOO++++++++++--------------.............----------------------..............----------+++++++++++++
------------------------+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++-------------.............--------------++++++++++++++OOOOOO+++++++++++++-----------.......................................................--------++++++++++++
++---------------------+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++---------------------------------------++++++++++++++++++++++++++++++++-----------.........................................................--------+++++++++++
+++++------------------+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++---------------------------------------++++++++++++++++++++++++++++++++----------............................................     ..........-------+++++++++++
++++++++++-----------++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++-------------------------------------+++++++++++++++++++++++++++++++++----------..........................................          ........-------+++++++++O
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++----------------------------------++++++++++++++++++++++++++++++++++----------........................................             .......-------+++++++++O
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++------------------------++++++++++++++++++++++++++++++++++++++-----------.....................................               ........------+++++++++O
++++++++++++++++++++++++------++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++-----------....................................               ........------+++++++++O
++++++++++++++++++++++----------------++++++++++++++++++++++++++++++--------------------+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++-----------....................................              ........------++++++++++
+++++++++++++++++++++--------------------++++++++++++++++++++----------------------------+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++-----------.....................................           ........-------++++++++++
+++++++++++++++++++++------------------------+++++++++++---------------------------------++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++-----------.......................................      ..........-------++++++++++
++++++++++++++++++++----------------------------------------------------------------------+++++++++++++++OOOOOOOOOO++++++++++++++++++++++++++++++++++++++++++++++++++++++-----------....................................................-------+++++++++++
++++++++++++++++++++----------------------------------------------------------------------+++++++++++OOOOOOOOOOOOOOOOOO+++++++++++++++++++++++++++++++++++++++++++++++++++-----------.................................................---------+++++++++++
++++++++++++++++++++---------------------------------------------------------------------+++++++++++OOOOOOOOOOOOOOOOOOOO+++++++++++++++++++++++++++++++++++++++++++++++++++-------------..................--------...................---------++++++++++++
+++++++++++++++++++----------------------------------------------------------------------+++++++++OOOOOOOOOOOOOOOOOOOOOOO+++++++++++++++++++++++++++++++++++++++++++++++++++--------------------------------------------.........------------+++++++++++++
+++++++++++++++++++---------------------------------------------------------------------+++++++++OOOOOOOOOOOOOOOOOOOOOOOO++++++++++++++-++++++++++++++++++++++++++++++++++++---------------------------------------------------------------+++++++++++++++
+++++++++++++++++++--------------------------++++++++++--------------------------------+++++++++OOOOOOOOOOOOOOOOOOOOOOOOO++++++++++----------++++++++++++++++++++++++++++++++------------------------------------------------------------+++++++++++++++++
+++++++++++++++++++----------------------+++++++++++++++++++-------------------------++++++++++OOOOOOOOOOOOOOOOOOOOOOOOO+++++++++---------------++++++++++++++++++++++++++++----------------------------------++++++++-----------------+++++++++++++++++++
++++++++++++++++++++------------------++++++++++++++++++++++++++++-----------------++++++++++OOOOOOOOOOOOOOOOOOOOOOOOOO++++++++-------------------++++++++++++++++++++++++++------------------------------+++++++++++++++-----------++++++++++++++++++++++
++++++++++++++++++++++++--------+++++++++++++++++++++++++++++++++++++++++----+++++++++++++++OOOOOOOOOOOOOOOOOOOOOOOOOO++++++++----------------------++++++++++++++++++++++++-----------------------------+++++++++++++++++++++++++++++++++++++++++++++++++
-++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++OOOOOOOOOOOOOOOOOOOOOOOOOOO++++++++----------------------++++++++++++++++++++++++---------------------------+++++++++++++++++++++++++++++++++++++++++++++++++++
----+++++++++++++++++++++++++++++++++++++OOOOOOOOOOOOOO+++++++++++++++++++++++++++++++++++OOOOOOOOOOOOOOOOOOOOOOOOOOO+++++++++-----------------------+++++++++++++++++++++++--------------------------++++++++++++++++++++++++++++++++++++++++++++++++++++
------+++++++++++++++++++++++++++++OOOOOOOOOOOOOOOOOOOOOOO++++++++++++++++++++++++++++++++OOOOOOOOOOOOOOOOOOOOOOOOOOO+++++++++-----------------------+++++++++++++++++++++++--------------------------++++++++++++++++++++++++++++++++++++++++++++++++++++
-------++++++++++++++++++++++OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO++++++++++++++++++++++++++++++OOOOOOOOOOOOOOOOOOOOOOOOOOO+++++++++----------------------+++++++++++++++++++++++++------------------------+++++++++++++++++++++++++++++++++++++++++++++++OOOOOO
-------++++++++++++++++++OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO++++++++++++++++++++++++++++++OOOOOOOOOOOOOOOOOOOOOOOOOOO+++++++++---------------------+++++++++++++++++++++++++++---------------------++++++++++++++++++++++++++++++++++++++++++++++OOOOOOOO
--------+++++++++++++++OOOOOOOOOOOOOOO##########OOOOOOOOOOOOOO++++++++++++++++++++++++++++++OOOOOOOOOOOOOOOOOOOOOOOOOO+++++++++++------------------++++++++++++++++++++++++++++++------------------++++++++++++++++++++++++++++++++++++++++++++++OOOOOOOOO
--------+++++++++++++OOOOOOOOOOOOO################OOOOOOOOOOO++++++++++++++++++++++++++++++++OOOOOOOOOOOOOOOOOOOOOOOOO++++++++++++++-------------+++++++++++++++++++++++++++++++++++++-----------++++++++++++++++++++++++++++++++++++++++++++++++OOOOOOOOO
--------+++++++++++++OOOOOOOOOOO###################OOOOOOOOOO++++++++++++++------+++++++++++++OOOOOOOOOOOOOOOOOOOOOOOOO++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++OOOOOOOOO
--------++++++++++++OOOOOOOOOOO####################OOOOOOOOO++++++++++++-----------+++++++++++++OOOOOOOOOOOOOOOOOOOOOOO+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++OOOOOOOO
--------++++++++++++OOOOOOOOOO####################OOOOOOOOO+++++++++++---------------++++++++++++OOOOOOOOOOOOOOOOOOOOOO+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++--------------------+++++++++++++++++++++OOOOOOO
---------+++++++++++OOOOOOOOOO###################OOOOOOOOO++++++++++------------------+++++++++++++OOOOOOOOOOOOOOOOOOOOO++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++-----------------------+++++++++++++++++++++OOOOOO
---------++++++++++++OOOOOOOOOO################OOOOOOOOO++++++++++----------------------+++++++++++++OOOOOOOOOOOOOOOOOOO+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++--------------------------+++++++++++++++++++++OOOO
----------++++++++++++OOOOOOOOOOO############OOOOOOOOOO+++++++++-------------------------+++++++++++++++OOOOOOOOOOOOOOO+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++---------------------------+++++++++++++++++++++++++
------------+++++++++++OOOOOOOOOOOOOO####OOOOOOOOOOOO+++++++++----------------------------+++++++++++++++++OOOOOOOOOOO++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++----------------------------++++++++++++++++++++++++
-------------++++++++++++OOOOOOOOOOOOOOOOOOOOOOOOO+++++++++--------------------------------++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++-----------------------------++++++++++++++++++++++++
---------------+++++++++++++OOOOOOOOOOOOOOOOOOO++++++++++----------------------------------++++++++++++++++++++++++++++++++++++++++++++++++++++++++-------------+++++++++++++++++++++++++++++++++++++-----------------------------++++++++++++++++++++++++
------------------+++++++++++++OOOOOOOOOOOO+++++++++++-------------------------------------++++++++++++++++++++++++++++++++++++++++++++++++++++++-------------------+++++++++++++++++++++++++++++++++-----------------------------++++++++++++++++++++++++
---------------------++++++++++++++++++++++++++++++----------------------------------------+++++++++++++++++++++++++++++++++++++++++++++++++++------------------------+++++++++++++++++++++++++++++++---------------------------++++++++++++++++++++++++++
-------------------------+++++++++++++++++++++++-----------------------------------------++++++++++++++++++++++++++++++++++++++++++++++++++-----------------------------++++++++++++++++++++++++++++++------------------------++++++++++++++++++++++++++++
-----------------------------+++++++++++++++-------------------...---------------------+++++++++++++++++++++++++++++++++++++++++++++++++----------------------------------++++++++++++++++++++++++++++---------------------+++++++++++++++++++++++++++++--
-----------------------------------+++----------------------....-------------------++++++++++++++++++++++++++++++++++++++++-------------------------------------------------++++++++++++++++++++++++++++----------------+++++++++++++++++++++++++++-------
-----.............-------------------------------------.........----------------+++++++++++++++++++++++++++++++++++++------------------------------.............---------------++++++++++++++++++++++++++++--------++++++++++++++++++++++++++++++---------
--.....................--------------------------................-------------+++++++++++++++++++++++++++++++++++++----------------------------....................--------------++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++---------
............................---------------......................------------+++++++++++++++++++++++++++++++++++++---------------------------.......................-----------------+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++----------
..................................................................-----------++++++++++++++++++++++++++++++++++++--------------------------..........................-------------------------++++++++++++++++++++++++++++++++++++++++++++++++++----------
...................................................................----------+++++++++++++++++++++++++++++++++++--------------------------...........................----------------------------------+++++++++++++++++++++OOOOOOO++++++++++++----------.
....              .................................................----------+++++++++++++++++++++++++++++++++++--------------------------...........................-------------------------------------++++++++++++++++OOOOOOOOOOO++++++++++---------..
                     .......................           .............---------+++++++++++++++++++++++++++++++++++--------------------------..........................----------------------------------------+++++++++++++OOOOOOOOOOOOO++++++++++-------...
                      ...................                ...........----------+++++++++++++++++++++++++++++++++++---------------------------.....................--------------------------------------------++++++++++++OOOOOOOOOOOOOO+++++++++-------...
                       ................                   ...........----------+++++++++++++++++++++++++++++++++++-------------------------------........-----------------------------------------------------+++++++++++OOOOOOOOOOOOOOO++++++++-------...
                      .................                    ..........-----------+++++++++++++++++++++++++++++++++++---------------------------------------------------------------------------------------------++++++++++OOOOOOOOOOOOOO+++++++++------...
                   ....................                    ...........-------------+++++++++++++++++++++++++++++++++++------------------------------------------------------------------.............------------+++++++++OOOOOOOOOOOOOOO+++++++++------..
                ........................                   ...........------------------------++++++++++++++++++++++++++++------------------------------------------------------------..................----------+++++++++OOOOOOOOOOOOOOO++++++++-------.
            .............................                  ...........----------------------------+++++++++++++++++++++++++++--------------------------------------------------------......................--------+++++++++OOOOOOOOOOOOOOO+++++++++------
       ....................................               ............------------------------------+++++++++++++++++++++++++++---------------------------------+++------------------.......................--------+++++++++OOOOOOOOOOOOOOOO++++++++-----
...............................................        ...............-------------------------------++++++++++++++++++++++++++++---------------------+++++++++++++++++++-----------..........................-------+++++++++OOOOOOOOOOOOOOOOO+++++++----
.................-------------------.................................--------------------------------++++++++++++++++++++++++++++++--------------++++++++++++++++++++++++++---------...........      ..........-------+++++++++OOOOOOOOOOOOOOOOOO+++++++--
............---------------------------.............................----------------------------------++++++++++++++++++++++++++++++---------+++++++++++++++++++++++++++++++--------........            ........-------++++++++OOOOOOOOOOOOOOOOOOOO+++++++
......-----------------------------------.........................------------------------------------++++++++++++++++++++++++++++++++----+++++++++++++++++++++++++++++++++++-------.......               .......-------++++++++OOOOOOOOOOOOOOOOOOOOO+++++
-------------------+++++++++++++------------....................-------------------------------------+++++++++++++++++++++++++++++++++---++++++++++++++++++++++++++++++++++++------.......                 .......------++++++++OOOOOOOOOOOOOOOOOOOOOOO+++
-------------+++++++++++++++++++++++------------............-----------------------------------------+++++++++++++++++++++++++++++++-------++++++++++++++++++++++++++++++++++------.......                 .......-------+++++++OOOOOOOOOOOOOOOOOOOOOOOOO+
--------++++++++++++++++++++++++++++++-------------------------------------------------------------+++++++++++++++++++++++++++++++-----------++++++++++++++++++++++++++++++++------......                   ......-------+++++++OOOOOOOOO########OOOOOOOOO
---++++++++++++++++++++++++++++++++++++----------------------------------+++++++++++-------------+++++++++++++++++++++++++++++++----------------++++++++++++++++++++++++++++-------......                   ......------+++++++OOOOOOOOO############OOOOOO
+++++++++++++++++++++++++++++++++++++++++----------------------------++++++++++++++++++++++++++++++++++++++++++++++++++++++++----------------------++++++++++++++++++++++++-------......                    ......------+++++++OOOOOOOO##############OOOOO
++++++++++++++++++OOOOOOOOOOOO+++++++++++++-----------------------++++++++++++++++++++++++++++++++++++++++++++++++++++++++---------------------------++++++++++++++++++++--------......                    ......------+++++++OOOOOOOO################OOOO
++++++++++++++++OOOOOOOOOOOOOOOOO+++++++++++++-----------------+++++++++++++++++++++++++++++++++++++++++++++++++++++++-----------------------------------+++++++++++++----------......                     ......-----++++++++OOOOOOO##################OOO
+++++++++++++++OOOOOOOOOOOOOOOOOOOO+++++++++++++++++-----+++++++++++++++++++++++++++++++++++++++++++++++++++++++++------------------------------------------------------------.......                     ......------+++++++OOOOOOO##################OOOO
+++++++++++++++OOOOOOOOOOOOOOOOOOOOOOO+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++-------------------.......-----------------------------------........                      ......-----+++++++OOOOOOOO##################OOOO
++++++++++++++++OOOOOOOOOOOOOOOOOOOOOOOO++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++-------------------............-------------------------------.........                       .....------+++++++OOOOOOO##################OOOOO
+++++++++++++++++OOOOOOOOOOOOOOOOOOOOOOOOOO+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++------------------................---------------------------...........                       ......-----+++++++OOOOOOOO#################OOOOOO
+++++++++++++++++++OOOOOOOOOOOOOOOOOOOOOOOOOOO++++++++++++++++++++++++++++++++++++++++++++++++++++++++++------------------..................-------------------------...........                         .....------++++++OOOOOOOOO################OOOOOOO
+++++++++++++++++++++OOOOOOOOOOOOOOOOOOOOOOOOOOOOO+++++++++++++++++++++++++++++++++++++++++++++++++++++-----------------...................-----------------------.............                         ......-----+++++++OOOOOOOOO###############OOOOOOOO
---++++++++++++++++++++OOOOOOOOOOOOOOOOOOOOOOOOOOOOO++++++++++++++++++++++++++++++++++++++++++++++++++----------------....................-----------------------.............                          ......-----+++++++OOOOOOOOO#############OOOOOOOOOO
--------++++++++++++++++++OOOOOOOOOOOOOOOOOOOOOOOOOOOO+++++++++++++++++++++++++++++++++++++++++++++++---------------...................-------------------------..............                          ......-----+++++++OOOOOOOOOO###########OOOOOOOOO++
------------++++++++++++++++OOOOOOOOOOOOOOOOOOOOOOOOOOO++++++++++++++++++++++++++++++++++++++++++++++--------------..................---------------------------.............                          ......------+++++++OOOOOOOOOOO#######OOOOOOOOOOO+++
----------------+++++++++++++++OOOOOOOOOOOOOOOOOOOOOOOO+++++++++++++++++++++++++++++++++++++++++++++---------------................------------------------------.............                         ......------+++++++OOOOOOOOOOOOOOOOOOOOOOOOOOOO++++
--------------------+++++++++++++OOOOOOOOOOOOOOOOOOOOOO++++++++++++++++++++++++++++++++++++++++++++---------------..............----------------------------------.............                       .......------+++++++OOOOOOOOOOOOOOOOOOOOOOOOOOO+++++
-----------------------+++++++++++++OOOOOOOOOOOOOOOOOO++++++++++++++++------------+++++++++++++++++---------------.............---------------+++++++--------------...............                    .......------++++++++OOOOOOOOOOOOOOOOOOOOOOOOO++++++
--------------------------++++++++++++OOOOOOOOOOOOOOO+++++++++++++++----------------++++++++++++++-----------------.........-------------+++++++++++++++++-----------................                ........-------++++++++OOOOOOOOOOOOOOOOOOOOOOO+++++++
-----------------------------+++++++++++OOOOOOOOOOO+++++++++++++++-------------------+++++++++++++-------------------....-------------+++++++++++++++++++++++----------..................          ..........-------++++++++OOOOOOOOOOOOOOOOOOOOOO++++++++
-------------------------------+++++++++++++OOO+++++++++++++++++---------------------+++++++++++++----------------------------------+++++++++++++++++++++++++++-----------....................................-------+++++++++OOOOOOOOOOOOOOOOOOO+++++++++
-----------........---------------+++++++++++++++++++++++++++++-----------------------+++++++++++++--------------------------------+++++++++++++OOOO+++++++++++++---------------..............................--------+++++++++OOOOOOOOOOOOOOOOOO+++++++++
----------.............-------------++++++++++++++++++++++++++-----------------------++++++++++++++------------------------------++++++++++OOOOOOOOOOOOOO+++++++++++----------------..........................---------+++++++++OOOOOOOOOOOOOOOO++++++++++
-----------...............------------+++++++++++++++++++++++------------------------++++++++++++++++---------------------------+++++++++OOOOOOOOOOOOOOOOOOO+++++++++++----------------........................--------+++++++++++OOOOOOOOOOOOOOO+++++++++
-------------...............-----------++++++++++++++++++++++-----------------------++++++++++++++++++--------------------------++++++++OOOOOOOOOOOOOOOOOOOOOOO++++++++++++---------------......................--------+++++++++++OOOOOOOOOOOOOOO++++++++
+--------------..............------------+++++++++++++++++++----------------------++++++++++++++++++++++------------------------++++++++OOOOOOOOOOOOOOOOOOOOOOOOO++++++++++++++++----------.....................---------+++++++++++OOOOOOOOOOOOOOOOO+++++
++++-------------..............-------------++++++++++++++++--------------------+++++++++++++++++++++++++-----------------------++++++++OOOOOOOOOOOOOOOOOOOOOOOOOOOO+++++++++++++++----------.....................---------++++++++++OOOOOOOOOOOOOOOOOOO++
++++++-------------..............----------------++++++++++----------------+++++++++++++++++++++++++++++++----------------------++++++++OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO++++++++++++++---------.....................----------++++++++++OOOOOOOOOOOOOOOOOOO
++++++++------------...............------------------------------++++++++++++++++++++++OOOO+++++++++++++++----------------------++++++++OOOOOOOOOOO########OOOOOOOOOOOOOOO++++++++++++---------......................----------++++++++++OOOOOOOOOOOOOOOOO
++++++++++------------...............-------------------------++++++++++++++++++++++OOOOOOOOOO++++++++++++-----------------------+++++++OOOOOOOOOO#############OOOOOOOOOOOOOOOO++++++++--------.........................---------++++++++++OOOOOOOOOOOOOOO
++++++++++++------------...............-----------------------+++++++++++++++++++OOOOOOOOOOOOOO+++++++++++------------------------++++++OOOOOOOOO################OOOOOOOOOOOOOOO++++++++-------...........................---------+++++++++OOOOOOOOOOOOOO