$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
_______$_______________________$$$$$$___$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
_______$_________$$____$$$$$$$$$$$$$$$$$$$$$$$$$$$________$$$$$$$$$$$$$$$$
_______$_________$$$$$$$$$$$$$$$$$$$$$$$$$__________________$$$$$$$$$$$$$$$
_______$_________$$$$$$$$$$$$$$$$$$_$$$$$$___________________$$$$$$$$$$$$$
_______$_________$$$$$$$$$$$$$$______$$$$$____________________$$$$$$$$$
_______$__________$$$$$$_____________$$$$$_____________________$$$$$$$$
_______$__________$$$_________________$$$$$________________$___$$____$$
_______$$$$______$$$__________________$$$$$_____________$$$_$___$$___$$
____$$$$$$$$$$$$$$$__$$$$$____________$$$$$_____________$$$_$___$$___$$
____$$$$$$$$$$$$$$__$$$__$$___________$$$$$_____________$$$$$___$$___$$
____$$$$$$$$$$$$$$__$$$$_$$___________$$$$$$_____________$$$___$$$___$
____$$$$$$$$$$$$$___$$$__$$___________$$$$$$$__________________$$____$
_______$$$$$$$$$$______$$$___________$$$$$$$$$$_______________$$____$$
_______$$$$$$$$$$$__$$$$$___________$$$$$$$_$$$$____________$$$$____$$
_______$$_______$$__________________$$_$$$$___$$$$$______$$$$$$_____$$
_______$$________$$_______________$$$$_$$$$____$$$$$$$$$$$$$$$______$$
_______$$________$$$____________$$$$___$$$$$______$$$$$$$$$$$$______$$
_______$$_______$$$$$$$______$$$$$$$__$$$$$$$_______________$$_______$
_______$$_______$$__$$$$$$$$$$$$$$___$$$$$$$$$______________$$_______$
_______$$_______$$__$$_$$$$$$$____$$$$$$$$$$$$$$____________$$______$$
_______$$_______$$__$$$_______$$$$$$$$$$$$$$$$$$$$__________$$__$$$$$$$
_______$________$___$$$_____$$$$$$$$$$$$$$$$$$$$$$$$_______$$$$$$$$$$$$
_______$________$____$$$$$$$$$$$$$$$$___$$____$$$$$$$$$____$$$$$$$$$$$$
______$$________$____$$$$$$$$$$$$$______$$______$$$$$$$$$$$$$$$$$$$$$$$
______$$________$____$$$$$$$$$__________$$________$$$$$$$$$$$$$$$$$$$$$
_____$$_________$___$$$$$$______________$____________$$$$$$_$$$$$$$$$$$
____$$$_________$___$$__________________$______________$$$$_$$$$$$$$$$$
____$$__________$___$$_________$________$________________$$_$$$$$$$$$$
____$$$$________$__$$_________$$_______$_________________$$_$$$$$$$$$$
____$$$$$$$$$$$$$_$$_________$$_______________$__________$$_$$$$$$$$$$
____$$$$$$$$$$$$$_$$_________$________$_______$__________$$_$$$$$$$$$$
___$$$$$$$$$$$$$$$$$________$$_______$$_______$$________$$___$$$$$$$$$
___$$$$$$$$$$$$$$$$________$$_______$$$________$________$$___$$$$$$$$$
___$$$$$$$$$$$$$$$$$_______$$_______$$$________$________$$___$$$$$$$$$
__$$$$$$$$$$$$$$$$$$$$_____$________$$_________$_______$$$___$$$$$$$$