⠀⠀⠀⣀⡴⠶⠶⠾⣭⣓⢤⡀
⠀⢀⠞⠀⠀⠀⠀⠀⠀⠙⣷⠽⣞⠛⣛⣛⣛⠓⠲⠤⢠⣀⡀⠀⠀⠀⠀⠀⠀⢀⣶⢢⡀
⠀⡯⠀⠀⠀⠀⠀⢀⠴⣋⡶⣿⠻⡏⠉⠉⠉⠉⠓⢦⡀⠀⠉⠛⠓⠶⢤⣤⣄⣀⣋⡴⠋
⠀⢻⣀⣄⠀⠀⣰⣧⡾⠟⠁⢸⠀⣷⠀⠀⠀⣤⡄⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠈
⠀⠀⠙⠿⠁⣸⣿⡟⠁⠀⢠⠏⢰⣇⠀⠀⠘⡏⠁⠀⣠⠇
⠀⠀⠀⡀⢀⣿⠣⣴⡤⣤⠋⢠⡿⠀⠀⠀⠀⠈⠛⠛⠁⠀⠀⣀⣀⣠⣤⣀⣀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⡀
⠀⠀⢰⠿⣿⠇⠀⢈⡸⠁⣰⠯⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣬⣉⡙⢿⢿⡿⣧⡿⢧⠀⠀⠀⠀⠀⣰⠟⢁⠀⠀⢀⡹⣦
⠀⠀⠈⢳⡿⠶⢺⠏⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⠶⠿⢿⣾⠏⠙⠻⢶⣅⣹⠟⠘⣿⣦⠀⠀⢰⠃⠀⣾⠲⣄⣸⣿⣽
⠀⠀⣠⣼⠁⢠⠇⠀⠁⣀⣀⠀⠀⠀⠀⠀⠀⢠⠤⠿⢷⣶⣴⣿⡅⠀⠀⠀⠙⣿⣷⣄⠁⠈⢳⣄⢸⠀⠀⢻⠀⠀⠻⡟⣿⠂
⠀⠀⣇⡏⠀⣾⠀⠀⠐⢿⠎⢷⠀⢠⣿⣳⣦⣌⢷⣀⡀⢀⡷⠾⣷⠀⠀⠀⠀⠈⢿⢿⣿⣶⣿⣟⣿⡀⠀⠈⢦⠀⠀⠹⣿
⠀⠀⡿⣇⠀⠘⣆⡀⠀⢀⡰⠋⠀⠈⢳⣽⡇⠙⠛⠻⣿⣼⣝⠂⢹⣄⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⡿⣇⣄⠀⠈⠳⡄
⠀⠀⢇⢯⠀⠀⠈⠙⠛⠋⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠈⢿⠷⣄⣴⣮⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣄⠀⠘⣆
⠀⠀⢸⠘⡆⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⢀⢙⠓⠈⠻⢿⣷⣆⣀⣴⣶⣴⣤⠟⠀⠀⠀⠀⠀⠙⠁⠀⠸⡆
⠀⠀⠈⡇⠛⢦⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠈⠙⠻⠿⠿⣷⣦⣤⣄⠀⠈⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⢇
⠀⠀⢠⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠂⢄⡀⠀⠈⠉⠉⠉⠒⠲⠶⠤⠴⠶⠤⠴⠶⠒⠒⠒⠉⣉⣉⣠⠞⡦
⠀⠀⠈⣷⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠒⠦⣄⡀⠐⠒⠤⠤⠤⠤⠔⠒⠚⠛⣛⣭⣭⣅⡤⠼⠺⠁
⠀⠀⠀⠘⡾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠒⠒⠀⠄⠤⠤⠂⠀⠁
⠀⠀⠀⠀⢇⢧⠀
⠀⠀⠀⠀⢸⠈⣇
⠀⠀⠀⣀⠸⡇⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠖⠲⠦⣤⡀⠀⠀⠀⠀⣠⣴⣷⣶⠾⣶⢿⠧⠤⣄⠀⠀
⠀⠀⢸⠟⢀⡇⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣥⡄⠀⢀⡄⠈⢇⠀⠀⣰⡾⠋⠀⠉⠁⣠⣾⠿⠿⠒⠾⣄
⠀⠀⠈⠛⢾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣤⠞⢻⠟⠀⢸⣤⡾⠃⠀⠀⣴⡴⠟⠃⠀⠀⠀⠈⠙⣛⣦
⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣳⠏⠀⢀⡟⠀⠀⣼⣯⡄⠀⣤⣿⠏⠀⠀⠀⢀⣴⡶⠞⠿⣿⣿⣗⡶⠀⠀⡀
⠀⠀⢀⣰⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠁⠀⣠⡞⠁⠀⣸⣿⠟⠁⠀⠙⠉⠀⠀⠀⠔⠛⠁⠀⣠⣗⣛⣿⡿⠃⣠⠞⣿
⠀⠀⠟⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⣠⣶⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣆⣸⢛⣽⠷⠚⠋⠁⣻⠿
⠀⠀⠀⡿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⣴⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⠿⠋⠀⠀⠀⠐⣺⠟
⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣀⠀⠀⠀⠀⠀⠀⠀⠸⢾⣿⣾⣿⣿⡟⠠⠔⠛⢫⣽⣿⣼⣠⣦⣤⣦⠞⠁
⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣉⡙⠓⠒⠒⠲⠦⣤⣀⣀⡀⠉⢉⣁⣀⣀⣤⠾⠿⠛⠛⠛⠛⢉⣉⠁
⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⣤⣈⣉⡽⠭⠤⠤⣄⣀⠈⠉⠉⠉⣀⣀⣀⣀⣠⠴⠚⠉⠉⠉⠉
⠀⠀⠀⠣⣀⣺⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠉⠉⠑⠂⠊⠉⠉⠉⠉