`````````.....``.`````.....```````````.......................`````.....``...........```````````````````````...................``````'''''`'''''````....```......................```''''''''`````````....
`.................````````````````````````..............``````````````````````````````````''''::'''''''```````.........``````'''```'''''''::::::''```'':::''``````.............````''```''''``````......
....................```````````````````````````........``````````````````'''''''''''''''':::::::::;;;;:::''''''``.``...`'::::'``'''''''''````'''::''':;;;;:''':::''`````....``````````````````````......
...... ... .........````````````````'''''```.......``````````````''::::::::::::;;;;;;;;;;;;;;;;;;;;:'''''::''``..`''::::'::;;;;;;;;;;:''````''':;;;;::::;;;;;;;::''```````````````````............
. ........ .......````''`````````''''''``.......`````````````''::::::::::::::::::;:::;;;;;;;;;;;:::''''::::''::;;::'':;;xxxx;xxxx;;::''````':xxx;;;xx;;;;;;:''``.``````````..................
............................``````''''''''''''''``...........```````'''''::::;;;;:::;;;;;;;;;;;;;;;;;;;;;;;;:::''::::::''''::;xxxx;;;;xxxxxx;;:'`':;xxxx;;;:::::''````'''''''``````'```............
.....................................```````''''`''''''``...........````````'''''''''::::::;;;;;;;;;;;;;;;;;;;xx;;x;;;;;::::::'::;;;;;xxxxxxx;xxxxxx;;::':;;;;::;;;:''''':;;;;;;;::'''::;;;:'```'''''```
...........................................````''''''''''``.....``......```````````````'''::;;;;;;;;;;;;;;;;;;;;;;;;;;xx;;::'''''''':::;;;xxxxxxxxxxxxx;:''';xxxxx;;;xxxxxxxxxxxxxxx;::::;;xx;;:::::''``
.. ...``...`.........`````...................```''''''''''``................```..``'''''''''::;;;;;;;;;;;;;;;;;;;;;xxx;;:'''':::::'''::;xxxxxxxxxxxxxxx;:'':;;;;;;;;;;;;;;;;;;;xxxxx;;;::;;;xxxxx;;'''`
....................``''``........................``''''''''``.................````..```'''''''''::::;;;;;;;;;;;;;;:::''''''::;;:'::'''::;xx##xxxxxxxx##xxxxx;;::;xxxxx;;;xxx;;;;;;xxxx;;;;;xxxxxxx;;;;;
......`````.....```'''''``````....................``'''''''''`......................```...``''''''':::::::::::::''''''''::::'''`'::;;::'''::;xxxxxxxxxxxx###xxxxxxxxx#########x:::;;xxxxxxxxxxxxxx;;:::
....`.........``''''''''``...........................`'''''''''``...........................```''''''''''''''''''''''''''''```...``'::;;::'''':;;;;;xxxxxxxxxxxxxxxxxxxxxxx######xx;:::::::;:::::::''```
``......``...``'''`''''`.............................``'''''''''`.......................```....``'''''''''''''''''''````............```'::;;::::''''::;xxxxxxxxxxxxxxxx;xxx####x###xxxxxx;;;;;;;:''`````
.....``````````````````..............................``'''''''''''`...........................`....```````````````.......``..............``'''''::::':;;xx;;;;;xxxxxxxxxxxxxxxxxx#xxxx##xxxxxxx;;;:'''':
..```````````'''``.......... ......................``'''''''''':''`````...........................```................`.........................'':::::;;;;;xxxxxxxxxxxxxxxxxxxxxxxxxxxx;;;xxxxx;;::::;;
..````````'''''`....``''`..........................```'''''''''''`..............................................................................`'''::::::;;;;;;;;;;;;;;;xxxx####xxxxxx;;;;xxxxx;;;;;;;;
````````''''``......`':'`.........................`'''''''''''''`.................................................................................``''::::::::;;;;;;;;;;;xxxxxxxxxxxxxxxx;;;;x;;;;::;;;;
..````````'''``````'''''`...................`...```'''''''''''''`.....................................................................................```'''::::::;;;;;;;xxxx;::::;xxxxxxxx;;;;;;;;;;:::
```````````'''''``'''''`.......................``''''''''''''''`..........................................................................................```'''''::::::::::::'':;xxxxxxxxxxxx;;;;;;;:''
``````````````````'''''''`````````````'''``..``'''''''''''''''`................................................................................................```''''''''''::'''::;;;;;;;;;;;;;;;;;;;::
`````````.........``````''````````````''``.```'''''''''''''''`....................................................................................................```.....`'::'''::;;;;;;;;;;;;;;;xxx;;;
................`````````````````````````````'''''''''''''''``...........................................................................................................```'::::;;;;;;;;;;;;;;;;;;;;xxx
............``````````````````````''`````````'''''''''''''```...............................................................................................................`':::::;;;;;;;;;;;;;;;;;;;;x
```......```````````````````````'``...```''''''''''''''''``......................................``............................................................................`':::::;;;;;;;;;;;::::;;;
``.....```````````````````'''```...```''''``'''''''''''``..............................`............````````````.................................................................`':::::::;;;;;:;;::;;;;
..````````````````````````````...```'''``''''''''''''``...................................```..````'''''''''''''''````.............................................................`'':::::::;;;;:::::::
..```````````````````.`````....```''''````''''``'''``...................................```````'''''''''''''''''''''''```.............................................................``''''''''''``````
``````````..`````````````...````'''```''''''''''''``...................................``````'''''''''''``'''''''''''''''``...................... ......................................``''''''``''''``
````....``````````````....``````''````''''''''''``................................``......``::''''''''''''''''''''''''''''''``............................................................```''''''''```
```....``````````````...```````'``''''````''''``.......................```````````''`````..`':'''''''''''''''''''''''''''':''``...............................................................``'::'````
......````````````...```````''`````''`````````....................`````````''''''''''''''````''''''''''''''''''''''''''''''''''``............ ...............................................``''''```
....```.......`....`````````````''``````````..................``````''''''''''''''''''''''''``''''''''''::::;;::'''''''''''''':'`................................................................`':''``
`````````````....`````````````````````````..................``````'''`````````'''''''''''''''::'''''''::::::;;;:''''''''''::'':'`................`................................................``''''
``...`````.....````````````````````````.....................```````''`````````''''''''''''''::'''':::::::::;x;;:::''''''''''':::'`...................................................................```
```````.......```````````````````````......................````````''`````````'''::::::::::::''''''::;;;;;;;;;;:::::'''''''''::::'`................................... ...............................
``````......```````````````````````........................``````````````''''''':::::::;::::::''''''::;;;;;;;;;;;;::'''''''''::::'``....................................................................
'``......````````````````````````..........................````````````'''::::::::::::::;;;;;::''''':;;;;;;;;;;;;;;:''''''''''':::'`........... ..... ..........................................
``......```````````````.``````.............................```````````''::::::::::::::::::;;;::'`'':;;;;;;;;;;;;;;;::''```''''''::'``........... ........ ...............................
........``````````````......................................``````````'''::::::::::::::::::::::'''::;;;;;;;;;;;;;;;;::''``''''''::''`............................................. ..... .......
`.......```````````````.....................................```````````''':::::::::::::::::;;:::::::::;;;;;;;;;;;;;;;;:''`'''''':::'``............................................ .. ..
.........`````````````.......................................``````````'''':::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;:''''''''::::'`...................................................... ..
.........````````````.................. ...................``````''````'''::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;'''''''':::''`.......................................................
........````````````.................. .....................````''''````''''::::::::::::::;;:::;;;;;;;;;;;;;;;;;;;;;:''''''''::'``......................................................
.......``````````.................................................```'''''``''''''':::::::::::;;::;;;;;;;;;;;;;;;;::;;;;;;:''''''::'``......................................................
....````````....... ......... ..................................````''''''''`''''''::::::::::::::;;;;;;;;;;;;;;:;;;;;;::''''':::'`......................................................
..``````........ ................ ..........................````'''''''''''''''''''''''':::::;;;;;;;;;;;;;;;;;;;::'''''::'`......................................................
`````................................. .............................``````'''''''''''''''''''''''':::::;;;;;;;;;;;;;;:'''''''::'`..................................................... ..
``...... ................... ..........................................``````''''''''''''''''''''``''':::;;;;;;;:;;;:''`'''''::'`..............................................................
..... ...... ........................ ...................................`````''''''''''''''''''''''''::::;;;;;;;::'''''':::'`...................``````````...........................
... ..................................... ..................................`````''''''''''''''''''''::::;;;:::''''''''''`..................``````````````````................ ...
.............. ............... ........................................`````''''''''''''''''''':::::''''''''''`............. ..```````````````````````............. ..
............. ............. ..... .....................................````````''''''''''``'''''''``''''''``..............```````````````````````````............
............... .......... ...... ..........................................`````'''''''```''''''''''':''`.............`````````````````````````````............
................. .. ....... .............................................................````'''''`````'''``''::'`............````````````````````````````````..... ....
..................... ......................... ................................................``````````''''''''''`...........``````````````````````````````.````.... ...
...................... .. ............ ..... .......... .................................................````''''''''::::''`..........``````````''`````````````..................
.................................... ................... ........................................................````''''''''``..........`````````''''`````````````.````.........`... .......
......................................................... .............................................................`````````...........````````'''''`````''''''''```.................
............................................................................................................................................``'````````````''''````'':''``................... .
............................................................................................................................................``'`````````''':::::''':::::''``..................
.............................. ..........................................................................................................```````````''::::::;;::::::::''``.................
...........................................................................................................................................````````````':::::::::::::::''''````................
... .............................................................................................................................................````````````'::;::::::::::'''''''```..............
.. ......................................................................................................................................... ..```````````'''::::::::::::::::'''````............
................................................................................................................................................````````````''':::::::':''''''''''``...........
.................................................................................................................................................`````````````'':::::''::'''''''''```..........
...............................................................................................................................................``````````'''''::'''''''''''```..........
............................................................................................................................ ..................`````````````''''''''''''''```..........
........................................................................................................................... .....................```````````````'''''''''```......
................................................................................................................................................````..````````'''''``````.....
........................................```................................................................................ ..............```....```````'''`````````..
....................................`````````````````.............................................................................. .. .. ...............```...``````````````````
.....................`````````````.......``````````````````````............................................................................... .............................``````````````
