.
░░░░░░░░░░░░░░░░░░░██░░░░░░░░░░░░░░░░░░░
░░░░░░░░░░░░░░░░░▄████▄░░░░░░░░░░░░░░░░░
░░░░░░░░░░░░░░░░▄██████▄░░░░░░░░░░░░░░░░
░░░░░░████▄▄▄▄▄▄████████▄▄▄▄▄▄████░░░░░░
░░░░░░████████████████████████████░░░░░░
░░░░░░████████████████████████████░░░░░░
░░░░░░██████▀▀░░▄▄▀▀▀▀▄▄░▀▀███████░░░░░░
░░░▄▄██████░░░░▀▀░░░░░░▀▀░░░░██████▄▄░░░
▄▄█████▀████▄█████▄░░▄█████▄████▀█████▄▄
▀██████▄░░██▀░░░░░▀██▀░░░░░▀█▀░░▄██████▀
░░▀█████░░██░░░░░██████░░░░░██░░▀████▀░░
░░░░▀███░░▀█▄░░░░▀████▀░░░░▄█▀░░░██▀░░░░
░░░░░░▀█░░░▀██▄▄▄██████▄▄▄██▀░░░▄▀░░░░░░
░░░░░░░██░░░░░▀▀▀░░██░░▀▀▀░░░░░░█░░░░░░░
░░░░░░░███▄░░░░░░░▀██▀░░░░░░░░░▄█░░░░░░░
░░░░░▄▀░███▄░░░░░░░░░░░░░░░░░░▄█░▀▄░░░░░
░░░░░█░░█░▀███▄▄░░░░░░░░░░░░▄▀░█░░█░░░░░
░░░░░█░░▀▄░░▀██████▄▄▄▄▄▄██▀░░▄▀░░█░░░░░
░░░░░░▀▄▄▀░░░░░▀███▀▀███▀░░░░░▀▄▄▀░░░░░░
░░░░░░░░░░░░░░▄▀░░█░░█░░▀▄░░░░░░░░░░░░░░
░░░░░░░░░░░░░░▀▀▀▀▀░░▀▀▀▀▀░░░░░░░░░░░░░░
______________________¶________________________________
_____________________¶¶¶_______________________________
___________________¶¶¶¶¶¶______________________________
__________________¶¶___¶¶¶¶___________¶¶¶¶¶¶___________
_________________¶¶____¶¶¶¶¶_____¶¶¶¶¶¶¶¶¶¶____________
________________¶¶_____¶¶¶¶¶¶¶¶¶¶¶_____¶¶¶¶____________
_____¶¶¶¶¶¶¶¶¶¶¶¶_______¶¶¶¶¶¶¶________¶¶¶¶____________
_____¶¶¶_¶_¶¶¶¶¶¶______¶¶¶¶¶_________¶¶¶_¶¶____________
_____¶¶¶____¶¶¶¶¶¶¶_____¶¶___________¶¶¶_¶¶_¶¶_________
_____¶¶¶____¶¶¶___________¶¶_________¶¶¶_¶___¶_________
_____¶¶¶____¶¶¶_________¶¶_¶¶_______¶¶¶¶¶¶_____________
_____¶¶¶__¶¶¶¶¶¶¶_____¶¶¶___¶____¶_¶¶¶¶¶_¶¶¶¶¶_________
____¶¶__¶¶¶_____¶¶¶_______________¶¶¶_________¶¶¶¶¶¶¶¶_
____¶__¶¶________¶¶¶_________¶_____¶¶______________¶¶¶_
___¶¶_¶¶__________¶¶________¶¶_______¶___________¶¶¶¶¶_
__¶¶__¶¶__________¶¶¶¶¶¶¶¶¶__¶¶_______¶______¶_¶¶¶¶¶¶__
__¶___¶¶_____¶¶¶¶_¶¶¶¶___¶¶¶¶__________¶____¶¶¶¶¶¶¶¶¶__
__¶____¶¶____¶¶¶¶¶¶________¶¶¶_________¶¶¶¶¶¶¶¶¶¶¶__¶__
_¶¶_____¶¶¶¶¶¶¶¶¶¶_____¶____¶¶¶_________¶¶¶¶¶¶¶¶¶__¶___
_¶________¶¶¶¶_¶¶___¶¶¶¶_____¶¶_________¶__¶¶¶_¶_______
_¶¶_________¶__¶¶____¶¶_____¶¶¶¶¶¶¶_____¶______¶¶______
_¶¶_________¶¶__¶¶_________¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶_____¶¶_____
__¶_____________¶¶¶¶_____¶¶¶¶¶¶_¶¶¶¶¶¶¶¶¶¶¶¶_____¶¶____
__¶¶______________¶¶¶¶¶¶¶¶¶¶______________¶¶______¶¶___
__¶¶¶¶¶¶¶¶___¶¶¶______¶¶¶_________¶_______¶¶¶¶¶¶___¶___
__¶______¶¶____________________¶_¶¶¶_____¶¶¶¶¶¶¶¶¶¶¶¶__
__¶¶¶¶¶_¶¶¶_________________¶_¶_¶__¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶__
_____¶¶¶¶¶_______________¶_______¶__¶¶¶¶¶__________¶¶__
_______¶¶¶______¶_¶¶¶_¶¶¶_¶_¶____¶__¶__________________
_________¶¶¶¶____¶_¶_¶_¶________¶___¶¶_________________
___________¶¶¶¶¶____________¶¶¶____¶¶¶_________________
_______________¶¶¶¶¶¶¶¶¶¶¶¶¶__¶¶¶¶¶¶¶__________________
__________________¶¶___¶¶_¶¶____¶______________________
__________________¶¶___¶___¶¶__________________________
______________¶_____¶¶______¶¶_________________________
______________¶¶____¶______¶¶¶_________________________
_______________¶¶¶¶¶¶¶__¶¶¶¶¶__________________________
_______________________________________________________
