⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠿⢼⣿⠿⢥⣀⣠⣮⡿⢿⡷⠎⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠁⠀⠀⠀⠉⠐⢚⣤⣤⣄⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⠋⠀⣠⡶⠂⠀⠀⠀⠀⡞⣫⡉⢱⠂⣧⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡾⠀⠀⡿⠁⠀⠀⠀⠀⢰⠁⠤⢹⣿⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⡇⠀⠈⠁⠀⠀⠀⠀⣠⡿⡤⠓⠈⢿⠀⠉⠛⢉⣆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠰⢉⣉⣴⣦⡀⠘⣄⣀⣠⣈⣿⡀⠀⠀⠀⠀
⠀⠀⢀⡤⡊⠀⢤⠄⠀⠀⠀⠀⠀⢳⣿⣿⣿⣿⡟⠉⠉⢙⣟⡿⡿⠳⣄⠀⠀⠀
⣠⠔⠉⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠙⠽⣛⣉⣓⡦⠝⠛⠋⠉⠁⠀⠀⣵⣦⠀
⠁⠀⠀⠀⣀⣦⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄
⠉⠉⠉⠉⠁⠐⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢫

⠄⠄⣾⣿⠿⠶⠿⢿⣿⣿⣦⣤⣄⢀⡅⢠⣾⣛⡉⠄⠄⠄⠸⢀⣿
⠄⠄⢀⡋⣡⣴⣶⣶⡀⠄⠄⠙⢿⣿⣿⣿⣿⣿⣴⣿⣿⣿⢃⣤⣄⣀⣥⣿⣿
⠄⠄⢸⣇⠻⣿⣿⣿⣧⣀♡⢀⣠⡌⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿
⠄⢀⢸⣿⣷⣤⣤⣤⣬⣙⣛⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡍⠄♡⢀⣤⣄⠉⠋
⠄⣼⣖⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⢇⣿⣿⡷⠶⠶⢿⣿⣿⠇⢀
⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣷⣶⣥⣴⣿
⢀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟
⢸⣿⣦⣌⣛⣻⣿⣿⣧⠙⠛⠛⡭⠅⠒⠦⠭⣭⡻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃
⠘⣿⣿⣿⣿⣿⣿⣿⣿⡆⠄⠄⠄⠄⠄⠄⠄⠄⠹⠈⢋⣽⣿⣿⣿⣿⣵⣾⠃
⠄⠘⣿⣿⣿⣿⣿⣿⣿⣿⠄⣴⣿⣶⣄♡ ⣴⣶⠄⢀⣾⣿⣿⣿⣿⣿⣿⠃⠄
⠄⠄⠈⠻⣿⣿⣿⣿⣿⣿⡄⢻⣿⣿⣿⠄⣿⣿⡀⣾⣿⣿⣿⣿⣛⠛⠁⠄⠄

⠀⠀⠀⠀⠀⠀- ⣠⠤⠖⠚⠛⠉⠛⠒⠒⠦⢤
⠀⠀⠀⠀⣠⠞⠁⠀⠀⠠⠒⠂⠀⠀⠀⠀⠀⠉⠳⡄
⠀⠀⠀⢸⠇⠀⠀⠀⢀⡄⠤⢤⣤⣤⡀⢀⣀⣀⣀⣹⡄
⠀⠀⠀⠘⢧⠀⠀⠀⠀⣙⣒⠚⠛⠋⠁⡈⠓⠴⢿⡿⠁
⠀⠀⠀⠀⠀⠙⠒⠤⢀⠛⠻⠿⠿⣖⣒⣁⠤⠒⠋
⠀⠀⠀⠀⠀⢀⣀⣀⠼⠀⠈⣻⠋⠉⠁
⠀⠀⠀⡴⠚⠉⠀⠀⠀⠀⠀⠈⠀⠐⢦
⠀⠀⣸⠃⠀⡴⠋⠉⠀⢄⣀⠤⢴⠄⠀⡇
⠀⢀⡏⠀⠀⠹⠶⢀⡔⠉⠀⠀⣼⠀⠀⡇
⠀⣼⠁⠀⠙⠦⣄⡀⣀⡤⠶⣉⣁⣀⠘
⢀⡟⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⣽
⢸⠇⠀⠀⠀⢀⡤⠦⢤⡄⠀⠀⡟
⢸⠀⠀⠀⠀⡾⠀⠀⠀⡿⠀⠀⣇⣀⣀
⢸⠀⠀⠈⠉⠓⢦⡀⢰⣇⡀⠀⠉⠀⠀⣉⠇
⠈⠓⠒⠒⠀⠐⠚⠃⠀⠈⠉⠉⠉⠉⠉⠁

ㅤㅤㅤㅤㅤ ⣠⡶⠶⠲⠖⠶⠶⢦⣀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⢀⣀⣀⣀⠀⠀⠙⣷⡀⠀
⠀⠀⠀⠀⠀⠀⢀⡿⠀⣾⣏⠉⠉⠉⠉⣷⠀⠘⣷⠀
⠀⠀⠀⠀⠀⠀⣼⠇⠀⠘⠻⠿⠿⠿⠛⠋⠀⠀⢹⡇
⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀ ⠀⢸⡇
⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣇
⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿
⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿
⠀⠀⠀⠀⢸⡇⠀⠀⣴⠖⠛⠛⠛⠳⡆⠀⠀⠀⠀⣿
⢀⡴⠶⠦⣿⠀⠀⠀⢻⡀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣿
⢺⣄⠀⠀⠀⠀⠀⣀⣼⠇⠀⣠⣤⣼⠇⠀⠀⠀⠀⡿
⠀⠙⠛⠛⠛⠛⠛⠋⠀⠀⣾⡁⠀⠀⠀⠀⠀⢀⣠⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠶⠶⠶⠛⠋⠁

⠀⠀⠀⠀⠀⠀- ⣠⠤⠖⠚⠛⠉⠛⠒⠒⠦⢤
⠀⠀⠀⠀⣠⠞⠁⠀⠀⠠⠒⠂⠀⠀⠀⠀⠀⠉⠳⡄
⠀⠀⠀⢸⠇⠀⠀⠀⢀⡄⠤⢤⣤⣤⡀⢀⣀⣀⣀⣹⡄
⠀⠀⠀⠘⢧⠀⠀⠀⠀⣙⣒⠚⠛⠋⠁⡈⠓⠴⢿⡿⠁
⠀⠀⠀⠀⠀⠙⠒⠤⢀⠛⠻⠿⠿⣖⣒⣁⠤⠒⠋
⠀⠀⠀⠀⠀⢀⣀⣀⠼⠀⠈⣻⠋⠉⠁
⠀⠀⠀⡴⠚⠉⠀⠀⠀⠀⠀⠈⠀⠐⢦
⠀⠀⣸⠃⠀⡴⠋⠉⠀⢄⣀⠤⢴⠄⠀⡇
⠀⢀⡏⠀⠀⠹⠶⢀⡔⠉⠀⠀⣼⠀⠀⡇
⠀⣼⠁⠀⠙⠦⣄⡀⣀⡤⠶⣉⣁⣀⠘
⢀⡟⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⣽
⢸⠇⠀⠀⠀⢀⡤⠦⢤⡄⠀⠀⡟
⢸⠀⠀⠀⠀⡾⠀⠀⠀⡿⠀⠀⣇⣀⣀
⢸⠀⠀⠈⠉⠓⢦⡀⢰⣇⡀⠀⠉⠀⠀⣉⠇
⠈⠓⠒⠒⠀⠐⠚⠃⠀⠈⠉⠉⠉⠉⠉⠁