--------------------:-::::::::::::::---:::::::::--------.....................```````````````````````
------------------:://++++/::::::---------::::---------......................```````````````````````
.....---------/+ossyhhhysos+/:::::--------:::--------.......................````````````````````````
.....-----:/+sshhdmdhyyhdhsss+/:://////////////:----......................``````````````````````````
.....--::syyhdhso/:---::ydo+/////+//:::://////////:-.....................```````````````````````...
......-ysydhds/---------:///++++///:::::::::/:::::://::-................```````````````````````.....
.......hdmhh/-..------:/:/+++++///:::::::::::::::---:::::-.............``````````````````````.......
.......:dhd+....----:/://++++///////::::::-:::----------:::-....````..`````````````````````.........
........oo-......-:+//+ooo+///////::::::::::-------.....-:::-```````````````````````````...........
`.................-oo++ooo+++//////::::::::----------......-:::.````````````````````````.`.........-
`````...`.........ossoooooo+++//////:::::------------.......-:/:-```````````````````.........-------
````````````......yssoooooo++++/////:::---------------.......-://-```````````````..........---------
```````````````...ysosooooooo++////::::----------------......--://:`..`````````.........-----------:
`````````````````.osssoooooooo+++/////::---:::----------.......-://:.....`.............----------:::
````````````````..-sssooooosooo+++////::::--:::::--------......-:///-....................----------:
````````````````...-+yysssossooo++////::::-:::::::--------......-:/+/....................-----------
````````````````.....oyyssssoooo+/////::::::::::::----::--....-:::/+-................--------------
`````````````````......-/yssssoooo+++///::::--::::::::::::::::--:::/+:.................-------------
```````````````````......ohsssoooo++/////::::::::::////////:::--::::/+...................-----------
````````````````````....-syysssooo++////////:://///////:::::::----://+-.....................------.-
```````````````````..../ssssssssoo++++++///////////////++oooos+//++/:/:.............................
````````````````````.-+oooooosssooo+++++++////////+oossoo/-..-```-+:+/:-............................
```````````````````-/oooooo+++++++++///////////+sss+/o-./o:::/:::+-::++........```````````````````.
````````````````.-/+++oo+/-.---:::::::://///osssyooodddmmmmmmmmmmmddso:....``````````````````` `````
```````````````-++++++o+/:---------::///+oydhhhydhddhhhhhdddhyysyhdmdh/...``````````````````````````
`````````````./o++++++++/:::/::::://++sydmmmdddhhhyyyso+/+osyo///++s+o/..`````````````````` ````````
````````````o+++++++++o+/::/+ooososyho/sosdyhdhhhyyssso+//++oo++++/+s.:.`````````````````` `.``````
```````````oo+++++++++oo++////++++++///o/o.:/:ssosysooo++++/+/////--.o/.``````````````` ` `-``````
``````````oo++++++++++oooooo++++++++++///+o//:`/``./..-o::/s:--/.`-`/++/:```````````` `````.--.----
`````````-oo++++++++/+++++ooossoooooooo++////+++o-..-```/```/```-``:-o+://````````````..------------
`````````+ooo++++++//++++++++o+++++ooooooo++/////+/+/-.-+```+.`.+--/:-::/:````.`....----------:::---
``````...ooooo+++++////++++++++++///++++ooooo+///:::::///::/++//::---:/++---------------------::::::
.......-ossoo+++++//++++++++////////////+++oooo+////::::::-------:/+oss:::::---------------:::::://
:-::::-:/ssssoo++++++++++++//////////:::////+++oooooooo++//////++oooooso:----------------::::::///+/
/////////ssssoooo+++++++++///+///////::::///////+++ooooooossssoo+++//+s+-......------:::::::::////+/
+++++++++sssssoooo++++++++++++////////::::://///////////++++++/:::///+s/:-----------------::::////+/
+++++++++osssssooo++++++++++++////////::::::::::::::::::////:::::///+oo:::::::::::::--------::////++
+++/+//+++ysssssooo++++++++++////////////::::::::-------:::-----:://os/::::---.....---::::::::/://::
++++/::+++oyyssssooo+++++++++////////////::::::::--------------:://oso::::--------------------/---::
++:///::/++syyssssoo++++++++++/////////////////:::-------:::--::/+oss+//::::--------------...`:.````
+o++++/--ooyhyysssoo+o++++++++////+////////////:::::-:::::::://+osyso+++/::::::---...````````:-```.
oooooooooo++oyyyyysssoo+oo+++++///+/+////////////////::://///+oossyyssoo++//--..`````````````::-.---
+ooo+oooooooossyhhyyysoooooo+++++++++/++////++++++/////////+ossyyhysssoooo++/:-````````..-.--:-----:
/+++++o+ooooossyyyyyyyssssoooooo+++++++++++++++++++ +++++++osyyhhdhyssooooo//++/:::....----:-:::/:::/
//+/:+++ooo+sssssoooyyyyssyyyssssssooossosooooooooooos ssyyhhhhhhyyyssooooo/://:/+oo/+////:::::::////
-::.`--:++ooooossosoossyyoysyssossyssyyssyyysyyyyyhhhhhdd hhhyyyyyssssooo+ooooo+oooosssoos+++/+/////+
.....-.`..--