⠀⠀⠀⡴⠊⠉⠀⠀⠈⠉⢲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⡞⠁⠀⠀⠀⠀⣀⣀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣼⡤⣄⠀⠀⢰⣿⣿⠈⡇⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠦⡀⠀⠀⠀⠀
⣼⣿⠇⣸⠞⠀⠙⠯⠥⠖⣁⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢹⠀⠀⠀⠀
⠘⡟⠉⠻⠬⣝⣡⠤⠞⠋⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⡾⠀⠠⢸⠀⠀⠀⠀
⠀⣧⠴⠒⠋⠁⠀⠀⠀⠀⡀⢀⠀⠹⡄⠀⠀⢀⣀⡤⣤⠇⠀⢠⣏⢴⣦⠀⠀
⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⢹⠘⡆⠀⢹⣤⠖⢩⣀⡠⠾⠤⠤⠥⣁⠓⠚⠲⡄
⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⢇⢹⡀⠀⠹⠄⢰⠋⠁⢀⠀⠀⠀⠈⢧⠦⠟⠁
⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠘⡌⣇⣀⠀⠀⠀⠀⠐⠃⠀⠀⠀⠀⣸⠀⠀⠀
⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⢠⢧⡰⡮⠝⠂⠀⠀⠐⢆⠀⠀⠀⢠⠇⠀⠀⠀
⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠘⠛⠙⠃⠀⠀⠀⠀⠀⠀⠀⢁⡴⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡄⢻⠛⠉⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠲⡶⡖⠲⠒⢛⣉⣀⣳⠸⡆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⠈⠓⠦⣈⡀⣳⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡑⢲⠇⡇⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀

▔▔▔▔▔▔▔▔▔▔▔ ╲
▕╮╭┻┻╮╭┻┻╮╭▕╮╲
▕╯┃╭╮┃╭╮┃╰▕╯╭▏
▕╭┻┻┻┛┗┻┻┛ ╰▏
▕╰━━━┓┈┈┈╭╮▕╭╮▏
▕╭╮╰┳┳┳┳╯╰╯▕╰╯▏
▕╰╯┈┗┛┗┛┈╭╮

i⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣻⣿⣿⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿i
i⣿⣿⣿⣧⢲⣽⣛⣻⣽⣷⣿⣿⣿⣿⣿⣿⣿⣿⣰⣷⣹⣿⣿⣿⣿⣿⣿⣿i
i⣿⣿⣿⣿⡧⢛⣯⣍⣉⣉⠛⢿⣧⣿⣿⣿⡿⡏⠁⠀⠀⣽⣿⣿⣿⣿⣿⣿i
i⣿⣿⣿⣿⢣⣻⣿⣶⣾⣽⣗⡐⣷⣽⣿⣿⣿⣆⢘⣛⣿⣿⣿⢻⣿⣿⣿⣿i
i⣿⣿⣿⡟⡾⠋⠰⢿⣿⣿⣿⣧⡉⠿⢿⣿⣿⠿⢊⣿⣿⣿⠁⢸⣿⣿⣿⣿i
i⣿⣿⣿⡇⠀⢠⣤⣿⣿⣿⣿⣿⣿⣤⡈⠛⠛⣠⣿⣿⣭⣟⠄⠈⣿⣿⣿⣿i
i⣿⣿⣿⢇⣸⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠸⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿i
i⣿⡟⣼⣿⠋⠉⠀⠀⠀⠙⠻⢿⣿⣿⣿⢿⣿⣿⣿⠟⠀⠀⠀⢿⡝⣿⣿⣿i
i⣿⠃⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠃⠈⠉⠁⠀⠀⠀⠀⠀⠈⢿⡿⣿⣿i
i⡟⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢼⣿i
i⠃⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻