~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~bbbb~~~~bbbbbbb~~~~~~~bb~~~bbbbbbbbb~~~~~bbbbbbbbbb~~~~~~~bbbbbbbb^^^~~~~~~~~~~~~~~
~~~~~~~~~~~~~bbbbbbb~~bbbbbbbbb~~~~~bbbb~bbbbbbbbbbb~~~bbbbbbbbbbbb~~~~~bbbbbhh^^^^^c~~~~~~~~~~~~
~~~~~~~~~~~~bbfffffbbbbfffffffbbbbbbbfbbbffffffffffbbbbbffffffffffbbrbbbbffffhhhh^?cc~~~~~~~~~~~~
~~~~~~~~~~bbfffffffffffffffffffffffffffffffffffffffffffffffffffffffrrffffffffffhhhc~~~~~~~~~~~~~~
~~~~~~~~bbffffffffffffffffffffffffffffffffffffffffffffffffffffffffrffffffffffffffb~~~~~~~~~~~~~~~
~~~~~~~~~~~bbffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFfffffffrffffffffffffffffbb~~~~~~~~~~~~~
~~~~~~~~~bbffffffffffffffffffFFFFFFFFFFFFFFFFFFFFFF?FFFFFFFFFFFFrFFFFffffffffffffffbb~~~~~~~~~~~~
~~~~~~~bbffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFrFFFFFFffffffffffffffbb~~~~~~~~~~~
~~~~~~~~~bbffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFrFFFFFFFF?fffffffffffffffbb~~~~~~~~
~~~~~~~~~~bbfffffffFFFFFFFFFFFFFFF?ddFFFFFFFFFFFFFFFFFFFFFFFFrFFFFFFFFFfffffffffffffffffbb~~~~~~~
~~~~~~~~~~~bbfffffffFFFFFFFFFFFFddddMMMMMFFFFFFFFFFFFFFFFFFFrFFFFFffffffffffffffffffffffffbb~~~~~
~~~~~~~~~~~bbfffffFFFFFFFFFFFFFFdd?dMf?fMFFFFFFFFFFFFFFFFFFrFFFFFFffffffffffffffffffffffffbb~~~~~
~~~~~~~~~~~bbffffffFFFFFFFFFFFFFFdddMMMMMFFFFFFFFFFFFFFFFFrFFFFFFFFFffffffffffffffffffffffbb~~~~~
~~~~~~~~bbffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFrFFFFFffffffffffffffffffffffbb~~~~~~~~~~
~~~~~~~bbffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFrFF?ffffffffffffffffffffffbb~~~~~~~~~~~~~
~~~~~~~bbffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFrFFFffffffffffffffffffffffffbb~~~~~~~~~~~~
~~~~~~~bbffffffffffffFFFFFFFFFFF?FFFFFFFFFFFFFFFFFFFFFrFFFfffffffffffffffffffffffffffbbbbbbb~~~~~
~~~~~~~~~~bbfffffffffffffffFFFFFFFFFFFFFFFFFFFFFFFFrrrfffffffffffffffff|fffffffffffffffffbb~~~~~~
~~~~~~~~bbfffffffffffffffffFFFFFFFFFFFFFFFFF?FFrrrrffffffffffffffffffff|fffffffffffffffbb~~~~~~~~
~~~~~~~~bbffffffffffffffffffffFFFFFFFrrrrrrrrrrffffffffffffffffffffffffcffffffffffffffffffbb~~~~~
~~~~~~~bbffffffffffffffffffffffffFFFrffffffffffffffffffffffffffffff---ccc---ffffffffffffbb~~~~~~~
~~~~~bbffffffffffffffffffffffffffFfrfffffffffffffffffffffffffffffffffffcfffffffffffffbb~~~~~~~~~~
~~~~~bbffffssfffffffffffffffrrrrrrrffffffffffffffffffffffffffffffffffff|fffffffffffffbb~~~~~~~~~~
~~~~~bbffsssssfffffffrrrrrrrrffffffffffffffffffffffffffffffffffffffffff|ffffffffffffffbb~~~~~~~~~
~~~~~~sssssssssssrrrrffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffbb~~~~~~~~~~~~
~~~~~s~~sssssssffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffbb~~~~~~~~~~
~~~~~ssssssffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffbb~~~~~~~~~~~~
~~~~~s?sfpppppfpppppfffffffffffffppfpppfppfffffffpffpfpfpfppfffffffffpfpfppfffffpfffbb~~~~~~~~~~~
~~~~~sffppppppfppppppfffffffffffffppppppppffffffffpppppppppffffffffpppppppffffffpppffbb~~~~~~~~~~
~~~~~~~pppppppppppppppppffpfpffpppppppppppppfpfpfpfpppppppppffffpfpfpppppppfffpppbb~~~~~~~~~~~~~~
~~~~~~pppppppppppppppffpppppppppppppppppfffffffffpppppppppppppppppppppppppppppbb~~~~~~~~~~~~~~~~~
~~~~~~~~~pppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppbb~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~?ppppphhhhhhhhppppppppppppppppppppph?hhhhhhhhhhpppphhhphpphphbb~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh?hhhhhhhhhhhbb~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~hhh^^^^^^^^^^^^?^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^hhhhhh~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~hhh^^^^^^^^^^^^vvvvvvvvvvvvvvvvvvvvvv^^^^^^^^^^^^hhhhhh~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~hhh^^^^^^^^^^^^vvvvvvvvvvvvvvvvvv^^^^^^^^^^^^hhhhh~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~hhhhh^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^hhhhhhh~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhhhhhhhh?hhhhhhhhhhhhhhhhhhhhhhhhh~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~hhhhhhhhhhhhhhhhhhhhhhhhh~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~