.
⠄⠄⠄⠄⠄⠄⢀⡆⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣧⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⣼⣇⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣿⡆⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⣿⣿⡄⠄⠄⠄⠄⣀⣀⢀⡀⠄⠄⠄⠄⣸⣿⣿⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⢿⣿⣿⣄⡀⢠⣾⣿⣿⣿⣿⣧⠄⢀⣴⣿⣿⠇⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⣀⣤⣤⣙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣁⣤⣄⣀⠄⠄⠄⠄
⠄⢀⣴⣿⣿⠏⠁⠄⠄⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣦⠄⠄⠄⠈⢻⣿⣷⣄⠄⠄
⢀⣾⣿⣿⣧⣀⠄⢀⢄⣾⡿⠟⢿⣿⣿⣿⣿⠿⠿⣿⣷⢄⡀⢀⣠⣿⣿⣿⣧⠄
⠈⠻⠿⣿⣿⡿⠟⠁⣼⣿⡁⢾⣿⣿⣿⣿⣿⣿⡇⢸⣿⡆⠙⠿⣿⣿⡿⠿⠛⠄
⠄⠄⠄⠄⠄⠄⠄⢰⣿⣿⣷⣤⣼⣿⣿⣿⣿⣦⣴⣿⣿⣿⡀⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⣿⣿⣿⠿⠟⠛⠛⠉⠙⠛⠛⠿⢿⣿⣿⡇⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⢀⣿⠟⠁⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠉⠻⣧⡀⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⢠⡿⠁⠄⠐⠛⢦⠄⠄⠄⠄⠄⢠⡞⠓⠄⠄⠙⣷⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⢸⡇⠄⠄⠄⠠⠊⠄⠄⠄⠄⠄⠈⠣⠄⠄⠄⠄⣿⡇⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠸⣧⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⠄⠄⠄⠄⢠⣿⠁⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠙⣷⣄⠄⠄⠘⠳⣤⣀⣠⡴⠋⠄⠄⠄⣠⡿⠁⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠈⠛⠷⣦⣤⣀⣀⠄⢀⣀⣀⣤⡶⠟⠋⠄⠄⠄⠄⠄⠄⠄⠄
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠉⠉⠛⠛⠛⠛⠉⠁⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄
______________0100___________00001________________
_____________0___0___________0___01_______________
_____________01__10___000001100__10_______________
______________0___100000000000____0_______________
______________0____00000000001_____0001___________
__________10100_____10000000__________1000________
______100001___________101________________10______
____100_______________0___00________01____10______
____0________________000_0000______00111100_______
___1011____100_______000__000______01______01_____
__00__000101_0_____________________0_____00000____
_0000________10____110110001001___10_____000000___
000000_________00011__________11000_______000000__
000000________100________________100_____0000000__
000001_______00_____001____0001____01____00000000_
000000_______0_____0000____0000_____0_____0000000_
0000000001___0_____0000____0000_____0_______10000_
00000000000__00_____001____100_____00__________0__
00000000000___00__________________00__________10__
0000000000_____0001____________1101__________10___
00000000__________100101111000011___________00____
_0000001___________101___100_______________00_____
__00_________________11100______________1001______
____01________________________________0001________
______111_________________________11000___________
_______001011___________________00110_____________
_____000____0_______01110_______0___01____________
__100000___10_______0___0_______0____0____________
__1000000_10_______01___0_______0___0000__________
___1000000000______0___10________00000000_________
______100000000___00____0________0000000__________
_____00000000000000_____000000000000______________
_____000000000000________000000000001_____________
____________________________00000001______________
