Shooting stars Emojis & Symbols

⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⠀⠀⣀⣠⣿⣦⣶⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣿⣶⠄⠠⣤⣀⠀⠀⠀⠀⢀⠉⠀⠉⠀⠀⠀⠀⠀⢤⣴⣿⣧⣄⠀⣀
⠀⠀⠉⢻⣿⣿⡯⣔⠈⠐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠃⢀⢔⢮⠛⠃⠀⠀⠀⠀⠐⠄⠉⠀⠀⠀⠀⠀⢠⣿⣿⣿⠁⠀⢀⡀⠀⢈⠄
⠀⠀⠀⠚⠹⢿⣏⣤⣍⡀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡞⡏⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠉⠀⠀⢀⠉⡉⠁
⠀⠀⠀⠀⠀⠀⠀⠈⠁⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⢳⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⢰⠀⠈⡆⠈⣆
⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⠀⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠶⠋⠀⢀⡇⠀⠸⡄
⠀⠀⠀⣤⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⣀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⡼⠁⠀⠀⡇
⠀⠀⠀⠀⢻⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠢⢤⣤⠴⠊⠀⠀⠀⠐
⠀⠀⠀⠀⠈⠻⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠬⠉⢿⡿⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⢠⣄⣀⡄
⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣧⠀⠀⠀⠘⠃⡀⠐⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⢀⣼⣿⣿⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡹⡆⠀⢀⡀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡻⣮⢳⡻⣿⡀⠀⠀⠀⠀⠀⠹⠃⢠⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⠋⡀⠀⡀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠻⣝⢧⡹⡍⢷⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⡀
⠀⠀⠀⠀⠀⡰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠁⣄⠀⠀⡀⠀⠀⡀⠂⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡳⡌⠄⠣⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⡄
⠀⠀⠐⢖⢒⡡⣌⠂⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡄
⠀⠀⠀⢨⠀⣓⠃⠾⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠿⠷
⠀⠀⠀⠘⢿⣿⣯⡓⠘⣏⢿⡀⠀⠀⠀⠀⠀⠘⣷⣶⣾⣿⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⡄⢀⡀⠀⠀⠀⠀⢀⣤⣾⣦⣀
⠀⠀⠀⠀⠀⠙⠿⡿⢦⡈⠄⢳⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠈⠟⢀⡀⣔⠲⣤⠀⠀⠀⠀⣿⣿⣿⡁⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠈⠂⠑⢄⠀⠣⠀⠀⠀⠀⠉⠉⠹⣿⣿⣿⡳⣄⠀⠀⠀⠀⠀⠀⣼⡇⣿⡌⢷⡈⡄⠀⠀⢸⡏⣇⠈⠁⠀⠀⠀⠈⣆⠹⡄
⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣷⡹⡌⠣⠀⠀⠀⠀⠀⠀⠀⢹⣧⠘⣿⡄⠀⠀⠘⣿⡘⢦⡀⠀⠀⠀⢠⡟⢰⡇
⠀⠀⠀⠀⠀⠀⣻⣿⣿⣄⠀⠀⠀⠀⢠⣤⡄⠀⠀⠀⠀⠁⢿⣇⠑⠀⠀⠀⣶⣤⣶⠀⠀⠀⠁⠂⣿⡷⠀⠀⠀⠘⢿⣦⣙⠳⠶⠞⢋⣠⡿⠁
⠀⠀⠀⠀⠀⠀⠛⠹⠏⠀⠀⠀⠀⠀⠚⡿⣛⠀⠀⠀⠀⠀⡌⠈⠀⠀⠀⠾⢿⣿⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠟⠛⠉
⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢫⢔⣲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢐⢪⡓⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⣀
⠀⠀⠀⠀⠀⠀⠈⡁⠂⠀⠀⠀⠀⠀⠀⠀⠈⠂⢹⠧⢁⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢻⣦⠻⣷⠄⠀⠀⠀⠀⠀⠀⢰⣿⣏⠀⣠⡀
⠀⠀⠀⠀⠀⠀⢀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠚⠈⠳⠄⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠁
⠀⠀⠀⢿⠆⠀⠉⢁⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿
⠀⠀⠀⠀⢠⡄⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣄
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣈⣉⣉⣁⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠿⠿⠿⣿⣶⣤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⣄
⠀⠀⠀⠀⠀⢠⣴⣶⣶⣶⣶⣶⣦⣬⣉⠻⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣀⣠
⠀⠀⠀⠀⠀⠠⠿⠛⠉⠉⠁⢀⣠⣬⠭⠽⠂⢁⣶⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠽⢿⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠀⠀⠀⠀⠛⣿⠿⡆⠀⠀⠀⠀⠀⠀⠀⢠⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢷⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⡤⠄⠀⠐⣿⣷⣶⣶⣤⣄⡀⠈⠳⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⠿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⣀⣉⣉⠓⠦⣈⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠉⠉⠉⠂⢀⣸⢶⣶
⠀⠀⠀⠀⠀⠀⢀⣀⡄⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⡾⠛⠂
⠀⠀⠀⠀⠀⠀⠠⢿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⢛⣋⣩⣭⣤⣤⣤⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠔⣚⣛⣋⣉⣉⣛⣛⠻⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣾⣄⡀⠀⠉⠉⠉⠉⠉⠛⠻⠿⣿⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⣿⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣦⣄⠀⣀⣴⣶⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠈⠛⠁⣼⠁⠙⣧⡀⠀⠀⠀⠀⠀⢀⣤
⠀⠀⠀⠀⠀⠀⠀⢴⣞⣉⡀⠀⠀⠀⠙⠶⣄⠈⢻⡄⢻⡓⠦⡴⠋⢹
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢀⣴⠛⠛⠉⠉⠁⠀⠻⣆⣷⠀⠀⠀⠈⠛⣲⣤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡞⠁⠀⠀⠀⠀⠀⠀⣴⣏⣥⣤⣄⠀⢰⡛⠉⠈⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣴⣦⡀⠀⠀⠀⠻⣧⡀⠀⠈⠳⣼⡇⠀⠀⠸⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠉⠻⣦⣤⠶⠞⡿⢻⣆⠀⠀⠈⠁⠀⠀⠀⢻⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠾⠀⠀⠀⠀⢀⡾⠁⠀⠙⢷⡀⠀⠀⠀⠀⠀⠈⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣥⣄⡀⠀⠀⠀⠀⠈⠳⣤⡀⠀⠈⢻⣄⠀⠀⠀⠀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⣤⠶⠦⣤⣬⣿⣆⠀⠀⠹⣦⠀⠀⠀⠀⠀⢿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠶⢦⣄⡀⠀⠀⠀⠀⠀⠈⢻⡄⠀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⣤⡀⠀⠀⠀⠀⢻⡄⠀⠈⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣄⠀⠀⠀⢻⡄⠀⢻⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⢻⡄⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⢿⡄⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣮⣿⣿⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢏⠓⠢⠤⣄⣀⡴⠁⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠤⠒⠒⠂⠛⠉⠉⠉⠉⠓⠒⠳⡀⠀⠀⠀⠀⠀⠀⠸⢄⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠊⠁⠀⣀⡤⠤⠒⠒⠘⠉⠉⣉⣉⣉⣍⠁⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠉⠀⢀⡠⠔⠊⠉⠀⢀⣀⠤⠒⠚⠉⣉⡠⠤⠐⠒⣂⠞⠀⠀⠀⠀⠀⠀⢀⡤⠔⠒⠋⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠖⠉⠀⢀⡠⠚⠁⠀⠀⣠⠴⠊⠁⢀⡠⠔⠊⠉⢀⡤⠖⠊⡡⠃⢀⣀⠤⠔⢄⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠀⠀⣠⠔⠉⠀⠀⣠⠔⠋⠀⢀⡠⠒⠁⠀⣀⠴⠊⠁⠀⠀⠘⠛⠉⠁⠀⠀⠀⠈⠣⠀⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⣠⠞⠁⠀⠀⡠⠊⠁⠀⢀⠔⠁⠀⢀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢴
⠀⠀⠀⠀⠀⠀⠀⠀⡠⠋⠀⠀⢀⠜⠁⠀⠀⡠⠊⠀⠀⢀⠞⠁⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⡰⠃⠀⠀⢀⠞⠀⠀⠀⡔⠁⠀⠀⡠⠊
⠀⠀⠀⠀⠀⣠⠋⠀⠀⢀⠜⠀⠀⠀⡰⠃⠀⠀⢠⠊⠀⠀⢀⡜⠁
⠀⠀⠀⠀⡰⠁⠀⠀⢠⠎⠀⠀⠀⡜⠀⠀⠀⡰⠃⠀⠀⢠⠎
⠀⠀⠀⡰⠁⠀⠀⢠⠂⠀⠀⠀⡜⠀⠀⠀⡰⠁⠀⠀⢠⠃
⠀⠀⢰⠃⠀⠀⢀⠏⠀⠀⠀⡜⠀⠀⠀⣰⠁⠀⠀⢀⠇
⠀⠀⠃⠀⠀⠀⡎⠀⠀⠀⡸⠀⠀⠀⢠⠃⠀⠀⠀⡎
⠀⡴⠀⠀⠀⡼⠀⠀⠀⢠⠃⠀⠀⠀⡞⠀⠀⠀⣸
⢀⠃⠀⠀⢠⠃⠀⠀⠀⡜⠀⠀⠀⢰⠁⠀⠀⠀⡇
⠸⠀⠀⠀⣸⠀⠀⠀⠀⠇⠀⠀⠀⡼⠀⠀⠀⢰
⡟⠀⠀⠀⡇⠀⠀⠀⢸⠀⠀⠀⠀⡇⠀⠀⠀⣸
⡇⠀⠀⠀⡇⠀⠀⠀⢸⠀⠀⠀⠀⡇⠀⠀⠀⠈
⣿⣿⡿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣶⣶⣶⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣇
⠀⠀⠀⢲⠊⢣⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣍⠉⠀⠘⠲⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠
⠀⠀⠀⠘⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⣀⣀⢠⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⡛⠉⢢⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠈⠛⠃⠀⠀⠀⠀⠀⠀⠀⢀⣴⡀⠀⠀⠸⠒⠢⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠈⣇
⠀⠀⠀⠀⠀⠀⠀⢀⣀⡴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⡜⠁⠀⠀⢹⡀
⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⣩⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠧⣄⣀
⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠃⠀⠀⠀⠀⠀⠀⢀⡠⠔⠊⠁⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⣲⡤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠂⠁⠀⣀⠠⠄⠒⠊⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠊⢁⡠⠔⠂⠉⠀⣀⠠⠤⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⢠⡎⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⢁⠤⠂⢁⡀⠤⠒⢈⣁⡠⠤⢤⡞⠀⠀⣀⣠⠤⣄⠀⠀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⡠⢊⡠⠊⣁⠔⢊⡡⠄⠒⠉⠁⠀⠀⠀⠸⠓⠋⠉⠁⠀⠀⠈⠓⢤⡀⢸⠅
⠀⠀⠀⠀⠀⢠⢎⠔⡡⢔⡩⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠺
⠀⠀⠀⠀⣴⢕⣵⡪⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢄
⠀⠀⢀⣾⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⢠⡤⠞⢆⣀⠀⠀⠀⠀⠀⠀⠀⢈⡇⣠⠋
⠀⢠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡧⢄⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣰⠇⠸⣆⣀⣀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣆⠀⠀⠀⠀⠀⠀⠁⠉⠲⣄⠀⠀⠀⠀⣠⣴⡏⠘⠀⠀⠀⠀⠀⠀⢰⣇
⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡏⢸⣆⣀⣀⣀⠀⠀⠘⠀⠀⣼⠁⣠⣄⠈⢿⣿⡇⡇⠀⠀⣀⣀⣀⣠⡟⠸⣄⣀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠙⣿⣦⡀⠀⠀⢀⡴⠟⠉⢇⠀⠀⡀⢰⡷⠚⠉⣿⣷⣾⣿⢡⠁⠀⢰⠉⠙⢦⡀⠀⠀⢀⣴⣿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⢃⡤⢤⡘⣿⡀⠀⠸⡄⠀⠀⢺⠀⠀⠀⣿⣿⣿⣿⠘⠀⢀⠇⠀⠀⣰⢇⣤⢦⡘⡿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠉⠀⠈⢿⣿⣷⡀⠀⢳⠀⠰⢸⡀⠀⠀⣿⣿⣿⡏⡇⠀⡼⠀⠀⣰⣿⣿⠋⠀⠙⢻⠄
⠀⠀⠀⢀⠿⣦⡀⠀⠀⠘⢄⠀⠀⠈⢿⣿⣷⠀⠘⣇⠀⡟⡇⠀⠀⣿⣿⣿⣿⠀⢰⠇⠀⢠⣿⣿⠋⠀⠀⣠⠋⠀⠀⢀⣴⣿⡀
⠐⢆⡐⠚⠀⠛⢛⡲⠶⡄⠈⠣⡀⠀⠈⢿⣿⣧⠀⠹⠀⠁⠇⠀⠀⢿⣿⣿⠟⠀⡞⠀⢠⣿⣿⠃⠀⢀⡞⠁⣠⠖⢶⣟⠛⠁⠳⢲⡶
⠀⠀⢹⠀⣀⠀⣯⣄⠀⠈⠢⡀⠑⢄⠀⠀⢻⣿⣆⠀⠁⠀⠀⠀⠀⠉⠗⠋⠁⠰⠁⢀⣾⡿⠃⠀⣠⠋⢀⠔⠁⠀⢀⣽⢇⣤⡘⡏
⠀⠀⣶⡛⠉⠓⢾⣿⣷⣄⠀⠘⢦⡈⠂⠀⠀⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⠁⢀⡜⠁⠔⠁⠀⣠⣾⣿⠿⠋⠀⠉⠻
⠀⠀⠈⠙⠲⢄⡀⠉⠻⣿⣷⣤⠀⠑⠄⠐⠄⠀⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⣠⣾⡿⠟⠁⠀⣠⠔⠈
⠀⠀⠀⠀⠀⠀⠉⠂⠀⠈⠉⠘⣒⠢⠀⠁⠀⠀⠀⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠊⠙⠈⠀⡠⠔⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠒⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠤⠄⠐⠒⠂⠀⢀⠀⠩⠙⢹⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠄⠒⠀⠉⠁⠀⠀⠀⠀⠀⠠⠔⠂⢉⡠⠐⡨⡒⡛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⡀⠤⠂⠀⠀⢀⠤⠂⢁⡴⢋⠊⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠎⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠉⠀⠀⢀⠠⠂⠁⣠⠞⠁⠔⠁⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠉⡰⠁⠀⠀⠀⠀⠀⡀⠔⠊⠀⠀⠀⠀⡠⠒⠁⢀⠔⡘⠁⢀⠊⠀⡌
⠀⠀⠀⠀⠀⠀⠀⣠⠐⠉⠀⠀⠀⡔⠁⠀⢰⠀⡀⠔⠉⠀⠀⠀⠀⣀⠔⠁⠀⡠⠔⡡⠊⠀⡠⠁⠀⡈
⠀⠀⠀⠀⠀⠀⠀⠙⢄⠈⠉⠉⠉⠀⠀⠀⠈⠛⠤⠤⢄⣀⢀⠠⠊⠀⠀⡠⠊⢀⠞⠀⠀⡐⠁⠀⠰
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠉⠀⢀⡴⠊⠀⡠⠁⠀⠀⠜⠀⠀⠀⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⡔⠊⠁⠀⠀⢀⣴⠋⠀⠀⡔⠀⠀⠀⠌⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⡠⡞⠀⠀⢀⣀⠀⠀⠀⡇⠀⠀⢀⢔⠝⠁⠀⢀⠎⠀⠀⠀⡘⠀⠀⠀⠀⠇
⠀⠀⠀⠀⠀⠀⣔⠁⣜⡠⠔⠊⠁⠀⢱⢄⠀⡃⠀⡠⠁⠀⠀⠀⢀⠊⠀⠀⠀⢰⠁⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠈⠺⡁⠀⠀⠀⠀⡐⠁⠀⠑⠴⢊⠌⠀⠀⠀⢠⠂⠀⠀⠀⠀⠆
⠀⠀⠀⠀⠀⠀⠆⠀⠈⢆⠀⢀⠌⠀⠀⣀⠠⠴⠁⠀⠀⠀⢀⠃⠀⠀⠀⠀⢰
⠀⠀⠀⠀⢀⠔⠃⠀⠀⠀⠑⠮⠔⠊⠉⠀⡰⠁⠀⠀⠀⢀⠆⠀⠀⠀⠀⢀⠞⡀
⠀⠀⢀⠔⠁⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⡌⠀⢓⠀⠀⠀⠀⠸
⢀⢄⡠⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⡘⠀⠀⠈⡄⠀⠀⠀⠀⢃
⠛⠥⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀⠀⡸⢍⠉⠉⠉⠉⠀⠀⠀⠀⠀⠈⠉⠀⡩⠟
⠀⠀⠀⠈⠉⠐⠢⡀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠐⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊
⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢀⠔⢂⠤⠤⢀⡀⠱⣀⠃⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠏
⠀⠀⠀⠀⠀⠀⠀⡁⠀⢀⠎⠀⠁⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⢰⠁⠀⢀⠤⢄⠀⠀⢩
⠀⠀⠀⠀⠀⠀⠀⠁⢠⡟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⡠⠚⠁⠀⠀⠑⠢⡈⡄
⣀⣀⣀⣀⣀⣀⣀⣸⣋⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣘⣁⣀⣀⣀⣀⣀⣀⣀⣈⣃⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⣉⣉⣍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠱⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⢹⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⢷
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠈⢧
⡴⠒⠚⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠒⠒⠶⠦⠤⢤⡀
⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡃
⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠉⠑⠲⢤⣀
⠀⠀⠀⠀⠉⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠖⠛⠲⢤⣀⠀⠀⠀⠀⠈⠙⠲⢄⡀
⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⠀⠀⠀⠈⠙⠲⢄⡀⠀⠀⠀⠀⠉⠳⢄⡀
⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡏⠙⠦⣄⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠙⠦⣀
⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⣀⡤⠶⢤⣀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠈⠳⣄
⠀⠀⠀⠀⡇⠀⣀⡤⠖⠋⠁⠀⠀⠀⠈⠙⠦⣄⠀⠀⢻⣄⠀⠀⠀⠀⠈⠲⣄⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠈⠳⡀
⠀⠀⠀⠀⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠶⠋⠈⠳⡀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠙⢦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠱⣄⠀⠀⠀⠀⠀⠳⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠹⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠹⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠰⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⢳
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⢻⠀⠀⠀⠀⣰
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⢸⡗⠶⠶⠚⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⣀⣠⡴⠻⣄⠀⠀⠀⠀⡸⠁
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣷⣶⣶⣯⣥⣤⣤⣤⣤⣤
⣿⣿⣤⣤⣤⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠻⠿⠶⣶⣶⣤⣤⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣶⣦⣤⣀
⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢿⣶⣤⣀
⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠛⠛⠿⠿⣷⣶⣶⣤⣄⣀⡀⠀⠀⠀⠀⠈⠙⠻⢷⣦⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⣷⣶⣤⣀⡀⠀⠀⠀⠉⠛⢷⣤⡀
⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⢷⣦⣄⠀⠀⠀⠈⠛⢦⡀⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠿⢿⣷⣶⣦⣤⣀⡀⠀⠀⠀⠈⠙⠛⠦⣄⠀⠀⠀⠉⠂⠀⠀⢠⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⢷⣶⣤⣀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢀⣾⣿⣿⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠶⣤⡀⠀⠐⢶⣶⣶⣾⣿⣿⣿⣿⣿⣷⣶⣶⡶⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠄⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⠟⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠛⠉⠛⠿⣿⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⠀⠈⠙

⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀
⢀⣶⣴⠂⠀⠀⠒⡒⠒⠦⣄⡀⠀⠀⠀⠀⠀⢀⣸⣦⠆⠀⠒⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢀⣸⣦⡆⡀⠚⠈⠀⠀⠀⠀⠠
⠀⠹⠉⠃⠀⢀⠠⣌⠙⠢⣄⠙⠳⠀⠀⠀⠀⠀⠹⠋⠃⠀⠓⠀⠀⠀⠀⠀⠈⠒⠀⠀⠀⠀⠘⠋⠁⠀⠺⠀⠀⠀⡀⠁
⠀⠀⠀⠀⠀⠀⢱⡀⠑⣄⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠡⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐
⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁

⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣀⣠⠤⠤⢤⣄⣀
⠠⣿⣿⣡⠰⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣶⡂⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠠⢾⣿⡇⠀⠀⠹⣟⣒⠲⢦⣌⠁
⠀⠈⠱⠆⠀⡅⠈⢀⡀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠘⠉⠁⠀⠀⠀⠀⠀⠀⠁⠢⡑⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠈⢳⠀⠈⠳⡄
⠀⠀⠀⠀⠀⠈⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⢄⡸⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠋⠀⠀⢠⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠶⠋⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠋⠉⠀⠀⠀⠀⠀⢀⣴⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿
⠠⣿⣾⡳⣟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⣋⡼
⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⢋⡴⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠋⠰⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠋

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣀⡄⠀⠀⠀⠀⠀⣠⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠋⠁⠀⠀⠀⠀⠀⢀⣤⣶⠿
⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⡿⠋⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⣴⠟⠋
⠀⠀⠀⠀⠀⣄⣋⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣁⠀⠀⠀⠀⠀⠀⠀⢀⣸⡋
⠀⠀⠀⠀⠙⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⠇⠀⠀⠀⠀⠀⠀⠀⠺⡿⠇

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣇⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⣿⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡄⠀⠀⠀⠀⠀⠀⢀⣀⡤⠄
⠀⠀⠀⠀⠀⠀⠀⢠⣿⠟⠉⠀⠀⠀⠀⠀⠀⢀⡼⠛⠉⠀⠀⠀⠀⠀⠀⠀⢀⣖⣭⠵⠶⠆⠀⠀⠀⠀⣠⡾⠋⠁
⠀⠀⠀⠀⠀⠀⠀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⠀⠀⠀⣰⡋
⠀⠀⠀⠀⠀⠠⣿⣗⠀⠀⠀⠀⠀⠀⠀⠠⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠰⣿⠇
⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡤⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠖⠀⠀⠀⠀⠀⠀⣠⠶⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇
⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠁⠀⠀⠀⠀⠀⠀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠾⠇
⠀⠀⠀⠀⠀⠠⣴⣦⠁⠀⠀⠀⠀⠀⠀⠀⣴⣷⠍⠀⠀⠀⠀⠀⠀⠀⢀⣦⡄⠀⠀⠀⠀⠀⠀⠀⣤⣦⠍
⠀⠀⠀⠀⠀⠀⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠉⠀⠀⠀⠀⠀⠀⠀⠘⠙

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⡶⠄
⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⢀⣴⡯⠂⠀⠀⠀⠀⢀⣰⣋⡀⠀⠁
⠀⠀⠀⠀⠀⠀⢀⣶⣯⠀⠀⠀⠀⠀⠀⠀⢀⣠⣜⠁⠀⠀⠀⠀⠀⠀⢠⣤⡄⠈⠈⠀⠀⠀⠀⠀⣴⣿⣿⣇
⠀⠀⠀⠀⠀⠀⠈⠟⠓⠀⠀⠀⠀⠀⠀⠀⠈⠟⠏⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃


⣟⣿⣻⣿⣛⣟⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣻⣿⣟⣻⣛⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢤⣤⣶⣿⣿⣶⣶⡤⠀⠀⠀⠀⠀⠀⠀⢘⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⡟⠀⠀⠀⠙⣿⣿⣿⣿⡋⠀⠀⠀⠀⠐⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠁⠠⠈⠀⢠⠿⠛⠙⠻⠇⠀⠀⠀⠛⠀⢐⠀⠀⢠⠘⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠈⠛⠁⠔⠠⠐⠂⠀⠠⠀⣠⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢿⠇⠀⠀⠀⠉⠀⠀⣰⣦⡆⠀⠀⠀⠀⠀⢀⠀⠀⠀⠁⠀⠉⠁⠀⠈⠀⠑⠠⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠟⠉⠀⠀⠀⠀⠀⠀⣴⡅⠂⠽⠗⠀⡦⠈⢀⡀⠀⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣂⠀⠀⢀⠐⠀⠀⠀⣥⠀⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠟⠃⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠈⠄⠈⠀⠈⠀⠉⠁⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠠⡀⠆⢈⠁⠀⠠⢾⠄⠂⠀⠐⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠁⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠛⠁⠄⠐⡀⢠⡈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⠀⠁⠀⠈⣠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢁⠀⢀⡂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⠀⠀⡀⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠡⠁⠨⠀⢠⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⣈⠨⢃⡄⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠘
⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣽⣭⣽⣽⣼⣬⣽⣯⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣷⣾⣶⣿⣷⣾⣷⣶⣶⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⠀⣀⡤⢄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠴⠒⠊⠉⠉⠀⠀⠀⠀⠀⠀⠀⡹⠁⠀⠀⠈⠶⠊⠉⠉⢢
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠋⠁⠀⠀⠀⣀⡤⠴⠒⠚⠉⠉⠉⠉⠉⢳⠀⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⡤⡀⠀⠀⢀⡠⠚⠁⠀⠀⠀⣀⠤⠒⠉⠀⠀⠀⣀⡤⠴⠒⠒⠉⠉⠉⢧⡀⠀⠀⠀⠀⠀⡠⠃
⠀⠀⠀⠀⠀⠀⠀⢸⠁⠈⢢⡴⠋⠀⠀⠀⢀⠴⠊⠁⠀⠀⢀⡤⠒⠉⠁⠀⠀⢀⣠⠤⠖⠒⠛⠑⢦⣀⣠⠴⠊
⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠑⢤⡤⠤⠞⠓⠊⣳⢀⡤⠚⠁⠀⠀⠀⢀⡤⠚⠉
⠀⠀⠀⠀⠀⠀⢀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡷⠋⠀⠀⠀⠀⡠⠞⠁
⠀⠀⢀⡠⠔⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⡠⠊
⠀⠀⠘⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⣠⠎
⠀⠀⠀⠀⠀⠈⠑⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⡴⠁
⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢀⡤⠒⠒⠦⠤⠤⣬⠆
⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⣠⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠙⠚⠁

⣶⣶⣶⣶⠶⣶⣶⠶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⣶⢶⡶⢶⣶⡶⡶⣶⣶⢶⢶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⢳
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠲⢖⡒⠚⠁⠈⠓⠒⣲⠶⠂⠀⠀⠀⠀⠀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠟⣆⠀⠀⠀⠀⠀⠆⠀⢙⠆⠀⠀⠰⣿⣿⢰⠀⠀⠀⠀⠀⢰⠿⡄
⠀⠀⠀⠀⠀⠀⠸⣿⣟⠋⠀⠙⣛⡿⠛⡆⠀⠀⠀⣼⡴⠚⣷⣦⣿⡟⡆⠀⢠⠛⠿⣋⠋⠀⠙⣋⣿⠟
⠀⠀⠀⠀⠀⠀⠀⠘⣿⢃⣤⣀⢿⡄⠀⢹⡀⠈⠰⠁⠀⠀⣿⣿⣿⣇⠁⠀⡎⠀⠀⣼⢁⣤⡈⢿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⡟⠁⠀⠹⣿⣷⡀⠀⢇⠀⠄⡇⠀⠀⣿⣿⣿⠿⠀⢰⠁⠀⣸⣿⡿⠁⠈⢻⡄
⠀⠀⠀⡘⢷⣄⠀⠀⠑⢄⠀⠀⠹⣿⣷⠀⠸⡄⠀⢣⠀⠀⣿⣿⣿⡇⠀⠇⠀⣰⣿⡟⠀⠀⣠⠋⠀⠀⣠⣾⣇
⠘⠢⡀⠁⠈⣉⠕⠓⢄⠈⠢⠀⠀⠹⣿⣧⠀⢣⠀⠘⠀⠀⢿⣿⡿⠀⡘⠀⢠⣿⡟⠀⢀⡔⠁⡠⠒⠻⣟⠃⠈⣻⠟
⠀⠀⣎⡴⢄⣹⣦⣀⠀⠱⣄⠑⠄⠀⠹⣿⣇⠀⠀⠀⠀⠀⠈⠉⠀⠀⠁⢀⣿⠏⠀⣠⠊⡠⠊⠀⢀⣴⣿⡴⠦⣷
⠀⠘⠻⢤⡀⠙⠻⣿⣷⣄⠈⠣⠀⠀⠀⠙⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠬⠋⠀⠐⠁⠘⠁⣠⣶⡿⠟⠁⠀⡀⠌
⠀⠀⠀⠀⠉⠒⠤⠈⠙⠟⠧⢄⠀⠂⠁⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠺⠟⠋⢀⡠⠒⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠁



⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠉⢣
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⠀⠈⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀⠀⠘⡄
⠀⠀⠀⠀⡴⠒⠒⠒⠒⠚⠉⠁⠀⠀⠀⠀⠀⠈⠒⠒⠲⠶⠤⠤⡀
⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢏⣀
⠀⠀⠀⠀⠀⠀⠈⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢴⣉⠀⠀⠈⠉⠒⠤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠈⠙⠲⢤⡀⠀⠀⠀⠙⠢⣄
⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠓⠤⣀⠀⠀⠈⠓⢤⡀⠀⠀⠀⠑⢦⡀
⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣀⠤⠒⠒⠦⣀⠀⠀⠀⢻⠀⠀⠈⠓⢄⠀⠀⠀⠙⠢⡀⠀⠀⠀⠙⢦⡀
⠀⠀⠀⠀⠀⠀⠀⢫⠤⠒⠉⠀⠀⠀⠀⠀⠀⠙⠢⣀⡼⠢⡀⠀⠀⠀⠙⢦⠀⠀⠀⠈⠢⡀⠀⠀⠀⠙⢦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠑⣄⠀⠀⠀⠘⢦⠀⠀⠀⠀⠳⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠳⡀⠀⠀⠀⠙⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠱⡄⠀⠀⠀⠹⡄⠀⠀⠀⠘⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠹⡄⠀⠀⠀⠹⡀⠀⠀⠀⠸⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠹⡀⠀⠀⠀⢱⠀⠀⠀⠀⢣
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⢧⠀⠀⠀⠈⡇⠀⠀⢀⡜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⣼⠀⠀⠀⠀⡹⠑⠚⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠒⠋⠙⠦⣀⡠⠴⠃


⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⢀⣀⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠖⠒⠋⠉⠉⠉⠉⠉⠉⠉⠉⣹⠋⠀⠀⠙⢦⡴⠒⠛⠲⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠚⠉⠁⠀⠀⠀⢀⣀⡤⠤⠴⠒⠒⠒⠒⠒⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠀⠀⠀⠀⣀⡤⠖⠊⠉⠀⠀⠀⢀⣀⡤⠤⠤⠶⠺⣄⠀⠀⠀⠀⠀⠀⠀⣠⠏
⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠢⡀⢀⡴⠋⠀⠀⠀⠀⣠⠴⠊⠁⠀⠀⠀⣀⡤⠖⠋⠉⠀⠀⠀⢀⣀⣤⠼⢦⡀⠀⠀⠀⣠⠔⠁
⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠙⢏⠀⠀⠀⢀⣴⣊⣡⡀⠀⠀⣠⠔⠋⠁⠀⠀⠀⢀⡤⠖⠋⠉⠀⠀⠀⠀⠉⠒⠒⠋⠁
⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠙⠒⠋⠉⠁⠀⢠⢃⡴⠋⠀⠀⠀⠀⢀⡤⠚⠁
⠀⠀⠀⠀⠀⢀⣀⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⢀⠔⠋
⠀⠀⢀⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⢀⠔⠁
⠀⠀⠈⠓⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⡴⠃
⠀⠀⠀⠀⠀⠀⠈⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣤⠞
⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⡠⠒⠒⠲⠤⠤⢤⣼
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⣠⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠔⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⠿⠛⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⡿⠛⠉⠀⠀⠀⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣦⣀
⢠⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣷⣤⡀
⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣼⣿⣿⣶
⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠿⠿⠛⠛⠋⠉⠉
⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣶⣾⣿⣿⣿⣿⠿⠿⠿⠿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠇
⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣩⣿⣿⣿⡿⠁⡰⠀⠀⠀⠀⠀⠙⢿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣿⣿
⠸⣿⣷⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠟⠁⡰⠁⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣆⠀⠀⠀⠀⠀⣿⡇
⠀⢻⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠿⠋⣠⠊⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⣹⣿⣿⣧⡀⠀⠀⢸⣿⠇
⠀⠀⠹⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⠿⠛⠁⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⢀⠔⢀⣼⣿⣿⢿⣿⣷⡄⠀⢸⣿
⠀⠀⠀⠘⢿⣿⣿⣦⣀⠀⢤⣀⡀⠐⠛⠛⠋⠉⣉⠠⠄⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⢁⣴⣿⣿⣿⠋⠀⠹⣿⣿⣆⣿⡏
⠀⠀⠀⠀⠀⠙⢿⣿⣿⣷⣤⣈⠑⠪⠍⢈⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠠⠒⢉⣠⣶⣿⣿⣿⠟⠁⠀⠀⠀⠈⢿⣿⣿⠇
⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣶⣦⣤⣄⣉⣀⡐⠒⠒⠒⢂⣈⣉⣠⣤⣶⣾⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠹⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⠀⠀⠀⠀⣰⣷⣐⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣼⣧⣤⠀⣀⣀⠀⠀⠀⠀⠀⠀⢀⠇⠂⡇⠀⠀⠀⠀⠀⢠⣤⣴⣿⣆⣀
⠀⠀⠙⢿⣿⣿⣿⡟⠵⠂⠅⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⢿⡅⠀⡠⡙⠿⠆⠀⠀⠀⠀⠁⢂⡀⠚⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⠛⠀⠈⠁⠀⠀⢢
⠀⠀⠀⢸⣿⣻⣿⠇⣉⠲⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⢱⡙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠋⠙⠻⠀⠀⠈⠒⠶⠶⠋
⠀⠀⠀⠀⠀⠈⠙⠒⠝⠳⠂⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⢠⡇⣿⡆⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠘⡄⠐⢄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⣾⠁⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⣰⠁⠀⢱⠀⠈⣇
⠀⠀⠀⠀⢠⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⡿⠋⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠁⠀⠀⡾⠀⠀⢸
⠀⠀⠀⠴⣾⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣦⣀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⡼⠁⠀⠀⢸⠁
⠀⠀⠀⠀⠘⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠈⠲⠤⠤⠴⠋⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠬⠉⢻⡿⠛⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⢠⣀⣀⡄
⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣧⠀⠀⠀⠀⠶⠀⠀⠰⠆⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢀⣼⣿⣿⣧⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡻⡇⠀⠀⠀⠀⠺⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⡝⢯⢻⣿⡀⠀⠀⠀⠀⠈⠉⢻⠏⢉⡁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠈⠀⠀⠶⠆⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠙⣮⢻⣌⢷⡻⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦
⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠂⠘⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣝⢦⠳⡌⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⡄
⠀⠀⠀⣀⣀⡠⠋⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠇⠀⠀⠀⠀⣀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠪⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡄
⠀⠀⠀⠹⡄⢲⣛⡦⣉⣽⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡄
⠀⠀⠀⠀⣆⣨⣍⡁⡝⢿⣻⣇⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⢶⣦⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠿⠛⠋
⠀⠀⠀⠀⠻⣿⣿⣮⡁⠈⢧⠹⣆⠀⠀⠀⠀⠀⠀⠈⣿⣷⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠴⣿⣿⣿⣷⡄⠠⠄⠀⠀⠀⠀⠀⣤⣼⣿⣦⣤
⠀⠀⠀⠀⠀⠀⠙⢯⡻⣆⡈⠃⠹⡄⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣦⠄⠀⠀⠀⠀⠀⠀⠀⠻⠃⢀⠠⣜⢷⣤⡀⠀⠀⠀⢨⣿⣿⣿⠁⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠪⠓⢄⠀⠙⠀⠀⠀⠀⠈⠉⠉⠹⣿⣿⣿⣟⢦⡀⠀⠀⠀⠀⠀⠀⢀⣿⠘⣷⠘⣧⡈⣄⠀⠀⠀⣾⡹⡆⠈⠀⠀⠀⠀⠀⢳⡀⢣
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⡌⢦⠙⠆⠀⠀⠀⠀⠀⠀⠉⠀⣿⡇⠸⣷⡄⠀⠀⠀⢻⣇⠻⣄⠀⠀⠀⠀⠀⣸⠇⢸⡇
⠀⠀⠀⠀⠀⠀⠐⣶⣴⣇⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠘⢸⣿⠈⠃⠀⠀⠀⣤⣀⣠⡄⠀⠀⠙⢳⠀⣿⣷⠀⠀⠀⠈⢿⣦⡙⠷⣦⣤⣤⡾⠋⣠⡿⠁
⠀⠀⠀⠀⠀⠀⠰⠿⣿⡟⠋⠀⠀⠀⠀⢠⣿⣿⣧⢀⠀⠀⠀⠀⢀⠇⠇⠀⠀⠀⣠⣿⣿⣿⣅⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠙⠿⣶⣤⣤⣤⣴⠾⠛
⠀⠀⠀⠀⠀⠀⣀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠸⣙⡦⣀⣄⠀⠀⠀⠘⠀⠀⠀⠀⠀⠉⠉⣿⠋⢉⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁
⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢙⠒⢬⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⢳⣌⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⠠⠶
⠀⠀⠀⠀⠀⠀⠀⠠⠌⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢨⡟⠂⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀⢻⣧⡙⡿⠃⠀⠀⠀⠀⠀⠀⠀⣾⣿⣧⣄⣴⣦
⠀⠀⠀⠀⠀⠀⠀⣀⠐⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠙⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠃
⠀⠀⠀⢺⠿⠀⠀⠉⡄⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⡄
⠀⠀⠀⠀⠀⣀⠀⠰⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠟⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠋
⣶⣶⣶⣶⣾⡷⣿⣾⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣷⣾⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣾⣶⣿⣿⣷⣶⣶⣶⣾⣿⣷⡾⢷⠾⠿⠿⠶⢾⣷⠿⣶⡶⠷⣾

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠻⣿⣿⣶⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠛⠻⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣆⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠆⢀⣼⠿⡟⠁⠀⠀⠀⢀⣠⠾⠋⢀⡶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠁⠀⠀⠄⠀⢀⡴⠟⠁⣠⠔⠁⠀⣀⣠⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠁⠀⠀⠀⠀⢀⣠⠞⠋⢀⠤⠊⠀⠈⠀⣀⣼⢿⡟⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠋⣠⣾⠆⠈⠀⣠⠶⠋⠁⠀⠀⠁⠀⠀⣀⣤⠞⠋⠀⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠋⢀⠤⠊⠁⢀⣠⠴⠋⠁⠀⠀⠀⠶⠄⣀⡴⠞⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⣚⠉⠀⠄⣊⠀⢀⡤⠖⠋⠀⠀⠀⠀⠀⢀⣠⠴⠚⠁⠀⠀⠀⠀⠀⠰⠷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠒⠉⠀⠀⠛⠁⢀⡠⠔⠊⠁⠀⠀⠀⠀⠀⣀⡤⠖⠉⠀⢀⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠔⠊⠁⠀⠀⠀⠀⠀⣈⠤⠖⠋⠁⠐⣀⠤⠒⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠠⠀⠂⠉⠀⠀⠀⠀⠀⠀⠀⠄⠂⠉⠀⠀⠀⠀⣀⠁⠀⠀⠀⠀⠀⠀⣠⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠛⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡤⢀⠀⠀⠀⢀⠊⠀⡃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠠⠤⠀⠀⠀⠀⠠⠴⢄⠀⠈⠐⠁⠀⠀⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠐⠂⠁⣀⠠⠤⠀⠒⠒⢀⣀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀⠈⠐⠂⣤⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠔⠈⠀⡀⠔⠂⠁⠀⡠⠄⠐⠊⡉⠄⠀⠐⣂⡴⠃⠀⠀⠀⠀⠀⠄⠐⠈⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠊⠀⡀⠔⠉⠀⢀⠄⠂⠁⡀⠄⠂⠁⡠⠔⠂⢁⣌⠠⠀⠂⠈⠢⠀⠀⡃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⡠⠊⠀⠀⡠⠊⠁⢀⠔⠊⠀⣀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⡠⠊⠀⠀⡠⠊⠀⢀⠔⠁⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀⠔⠁⠀⢠⠊⠀⠀⡐⠁⠀⢀⠎
⠀⠀⠀⠀⠀⠀⠀⠀⡔⠀⠀⢀⠊⠀⠀⡐⠁⠀⢀⠎⠀⠀⡰⠁
⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠠⠃⠀⠀⡔⠀⠀⢠⠂⠀⠀⡐
⠀⠀⠀⠀⠀⠀⡜⠀⠀⢠⠂⠀⠀⡈⠀⠀⢠⠃⠀⠀⡜
⠀⠀⠀⠀⠀⠐⠀⠀⢀⠂⠀⠀⡐⠀⠀⠀⠎⠀⠀⠠
⠀⠀⠀⠀⠀⠆⠀⠀⡄⠀⠀⠀⠁⠀⠀⡘⠀⠀⢀⠃
⠀⠀⠀⠀⠸⠀⠀⢠⠁⠀⠀⠘⠀⠀⠀⠁⠀⠀⠈
⠀⠀⠀⠀⠇⠀⠀⡀⠀⠀⠀⠇⠀⠀⢠
⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡄



⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠
⠀⠠⠆⠀⠀⠀⠀⠀⠀⠀⢀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣦⡄
⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠁
⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠐⠄⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠐
⠀⠀⠀⠀⠀⠀⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠚⠁⠀⠀⡀
⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠒⠉⣠⣴⠞⠋⠁⠀⠀⢀⡤⠊⠀⠀⠄⠀⠀⠀⠀⣴⡆
⠀⠀⠀⠀⠀⠀⣀⢀⣀⣤⡴⠞⠋⠉⣴⣷⡶⠟⠉⠀⢀⡠⠒⣠⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠺⣿⣿⠋⠁⠀⠀⠀⠀⠘⠉⠃⣠⡴⠞⢉⡤⠞⣁⠄⠀⠀⠠⣷⡆
⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣤⣀⣤⣶⠟⡉⣠⡴⠋⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠐⠾⣿⣿⡋⠀⠐⡿⠏⣠⠞⠁⠀⠀⠂
⠀⠀⠀⠀⠀⢲⣶⣶⣿⣧⣀⠀⠋⠀⠁⠀⢀⣴⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠰⣷
⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠟⠋⠀⢰⣄⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛
⠀⠀⠀⠀⠀⠘⠋⠉⠻⣿⠀⠀⠰⢿⣿⣿⡄⠀⠀⠀⢀⠠⠀⠀⠀⢾⢿⠀⠀⠀⠀⡀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠈⡈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⣶⣶⡶⣶⠶⣶⣶⡶⣶⡶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣷⣤⣴⣶⣾⣿⣿⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣿⡷⠂⠀⠀⠀⢸⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⡀⠀⠀⠀⠀⢠⡀⠀⠀⠈⠉⠉⠠⣶⠀⠀⠈⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠘⡿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠁⠀⠀⠂⠀⠉⠀⠀⠀⢠⣦⡄⠀⢲⣿⡖⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⢀⡀⠀⠀⠶⠀⠀⣀⣄⡀⠀⠀⠈⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠟⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⠀⡀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠉⠀⠀⢠⡀⠀⢀⠀⠀⣻⣿⠃
⠀⠀⠀⠀⢀⠀⠀⠀⠂⠀⠀⠀⠀⠈⠀⠀⢀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠆
⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠐
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⢛⡻⣛⡛⢻⡛⣻⠿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⡾⠿⠿⠿⠿⠿⠿⠿⠿⢷⣶⣦⣤⣄⣀
⠀⠀⠀⠀⠀⠀⠀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⢷⣦⣄
⠀⠀⠀⠀⠀⠀⠀⣿⠙⠻⣷⣄⠀⠀⢀⣠⣶⠿⠛⠁⠀⢀⡀⠀⠀⢀⣀⣀⣠⣤⣤⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷
⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠈⠛⢿⣶⣿⣋⣡⣤⣶⡾⠿⢻⣿⡿⠿⠛⠛⠋⠉⠉⠉⠉⠉⠙⠛⠛⠿⢷⣶⣤⣄⡀⠀⠀⠀⢀⣿
⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠙⠛⠛⠉⠉⠀⠀⢀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣶⣤⣴⡾⠏
⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣟⣠⣤⣶⣶⠾⠿⠿⠿⠿⠷⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⣿⡏
⠀⠀⠀⣠⣴⡾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢷⣦⣄⣠⣴⡿⠁
⣠⣴⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⡄⠀⣀⣤⣤⣤⣶⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⢻⡟⠉⠉
⠻⣷⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⠛⠉⠉⠀⠀⠀⠈⠉⠙⠻⢷⣦⣀⣀⣠⣿⠃
⠀⠀⠈⠉⠛⠻⢷⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠋⠁
⠀⠀⠀⠀⠀⠀⠀⠈⣿⡆⠀⠀⠀⠀⢀⣴⣶⣶⣶⣶⣶⣶⣦⣿⡷
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⣠⣿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢀⣾⠟⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡿⠋

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠹⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠸⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⢻⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⢧
⠀⠀⢀⣀⣀⣀⣀⣀⣀⣤⡼⠁⠀⠀⠀⠀⠀⠀⠈⢧⣀⡀
⣞⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠙⠛⠓⠒⠦⡄
⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡃
⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠋⠀⠉⠙⠲⢤⣄⡀
⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠧⣤⣀⠀⠀⠀⠀⠀⠈⠉⠳⢦⣀
⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠉⠛⠶⣄⡀⠀⠀⠀⠀⠀⠈⠙⠦⣄
⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡷⢦⣄⠀⠀⠀⠀⠀⠉⠳⢤⡀⠀⠀⠀⠀⠀⠈⠓⢦⡀
⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠈⠙⠦⣄⠀⠀⠀⠀⠀⠙⠳⣄⠀⠀⠀⠀⠀⠀⠙⠶⣄
⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⢀⣠⡴⠖⠛⠲⢤⣀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠈⠓⢦⡀⠀⠀⠀⠀⠈⠛⢦⡀⠀⠀⠀⠀⠀⠈⠳⣄
⠀⠀⠀⠀⢸⠃⠀⣠⡴⠞⠋⠁⠀⠀⠀⠀⠀⠈⠙⠦⣄⠀⠀⢸⣦⡀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠈⢧⡀
⠀⠀⠀⠀⠘⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⠞⠀⠙⢦⡀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠙⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠈⢳⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠹⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠹⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠹⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⢹⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⢷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⢰
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡦⣄⣀⣠⠴⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⢀⣼⡃⠀⠀⠀⠀⠀⢠⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠲⠶⠖⠋⠀⠳⣄⡀⠀⣀⣠⠞
⣶⣶⣶⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣧⣤⣤⣦⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠴⠶⠒⠛⠛⠛⠋⠉⠉⠙⠛⠛⠛⠒⠶⠦⢤⣤⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⠛⠒⣿⠃⠰⠞⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠲
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣦⡴⠾⠗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⠚⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠓⠶⢤⣄⣀
⠀⠀⣄⡀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠶⣤⣀
⠀⠀⣿⠙⠶⢚⡟⠀⠀⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛
⢴⣟⣁⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣀⣀⡀
⠀⠀⢹⣆⡞⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠖⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠲⠦⣄⣀
⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⠤⣶⠀⠠⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢯⡄⣀⣻⡄

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠲⠶⣤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠈⢆⠀⠈⢷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠈⢆⠀⠈⢷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⢆⠀⠈⢷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⠀⠀⠀⠈⢆⡀⣈⣷⠤⠶⠶⢶⡶⠶⢲⡶
⠀⣀⣠⣤⠤⠶⠒⠛⠋⠁⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢠⠏⠀⢀⡾⠁
⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⢠⣞
⠀⠈⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⢠⠏⠉⠳⣄⡀
⠀⠀⠀⠀⠈⠻⢦⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⣞⠀⠀⠀⣏⠀⠀⠀⠈⠻⣦⡀⢀⡤⣶⣤⣀⣀⣤⣤
⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠈⢧⡀⠀⠀⠀⠈⠙⢾⣧⠆⠀⠉⠁⣰⠃
⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠳⡄⠀⠀⠀⢠⡞⠁⢀⠀⠀⠀⢈⡻⣤⡀
⠀⠀⠀⠀⠀⢸⡇⠀⠀⢀⣠⠞⠁⢉⡹⠟⠲⠦⣤⣀⣀⠙⣄⠀⠀⠙⣄⠀⠀⠈⠉⠳⡆⠷⢠⡿⠷⣥⠾⠃
⠀⠀⠀⠀⠀⣾⠀⢀⡴⠋⠀⢀⣴⠋⠀⠀⠀⠀⠘⢧⠉⠉⠛⠓⠚⠂⠙⢦⠀⠀⠀⠀⠻⠞⠛⠳⣄
⠀⠀⠀⠀⠀⣧⣴⣩⣤⡤⠴⠋⠙⢷⡀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠱⣄⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⢀⡠⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠁⠄⠀⠹⣄⠀⠀⠀⣀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠻⣄⣾⠹⠉⠳⢦⣀⣠⠴⠊⠁⠀⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠈⢦⣴⢛⠋⠡⡀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠘⣿⠀⡆⠀⠀⠈⠀⠀⠀⠀⠠⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠙⣦⡔⠻⠓⠲⠾⡧⠂⠀⠀⠱⠤⠠⠤⠼⢶⡄⠀⠀⠀⠀⠀⢸⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀
⠀⠀⠀⠀⠀⣠⠶⠦⣤⣀⡤⠖⠛⡇⠀⠀⠀⠀⠈⢷⡀⠑⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠲⡀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠙
⠀⠀⠀⠀⠀⢿⡀⠆⠀⠉⠀⠀⠠⣇⡀⠀⠀⠀⠀⠈⢳⡀⠰⡀⠀⠀⠀⠀⠀⠀⠀⣾⡁⠀⠀⠙⣄⠀⣾⣉⠀⠀⠀⠀⢆⠀⠀⢀⣿⠲⠶⠶⢤⡶
⠀⠀⠀⠀⠀⢘⡷⠀⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⣷⠀⠅⠀⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀⠈⢦⠀⠉⠉⠛⠳⣆⠈⢆⠀⣼⠇
⠀⠀⠀⠀⣴⡮⠤⠄⠠⠄⠀⢀⣶⣠⠤⠟⠀⠀⠀⠀⢠⡇⠘⠀⠀⠀⣠⡔⠒⠤⢀⠀⠈⢳⡀⠀⠀⠀⢣⡀⠀⠀⠀⠘⢧⡈⣵⡟
⠀⠀⠀⠀⠀⠀⠉⠻⣦⠘⣄⣸⠀⠀⠀⠀⠀⠀⠀⠀⣸⢁⣇⣀⣴⠊⠁⠈⠙⠒⢤⣌⣁⡲⠷⠀⠀⠀⠀⠱⡀⠀⠀⠀⠈⠉⠀⠹⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠉⠉⠀⠹⣆⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠹⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⢠⡞⡛⠑⠦⣄⡀⠀⣠⠔⢻⡀⠀⠀⠀⠀⠀⠀⠹⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⢸⡇⠁⠀⠀⠀⠉⠛⠁⠀⡞⠱⡀⠀⠀⠀⠀⠀⠀⠹⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⢘⡷⠊⠀⠀⠀⠀⠀⠀⠀⣇⡀⠱⡀⠀⠀⠀⠀⠀⠀⠹⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡏⡝⢷⣄⡠⢶⡶⠀⠀⠀⠀⠈⢧⢀⣴⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⠳⡀⠀⠀⠀⠀⠀⠀⠹⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡞⡋⠀⠀⠠⠀⣾⠁⠀⠀⠀⠀⠀⠘⣟⠲⢤⡉⠑⠀⠀⠀⢠⣖⣐⣒⣒⣰⡾⠃⠹⡄⠀⠀⠀⠀⠀⠀⢻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡎⠇⠀⣀⢀⡙⣦⠀⠀⠀⠀⠀⠀⢹⡄⠀⢹⡆⢷⠀⣰⠋⢩⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠴⠶⠋⠛⠶⠶⠛⠁⠀⠀⠀⠀⠀⠀⢷⠀⠈⣷⡤⠟⠁⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⢀⣤⠞⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⣀⡷⠞⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⣀⣤⠶⠛⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⢀⣀⣤⡴⠟⠋⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣣⣤⡶⠚⠛⠉⠉
⣿⣿⣿⠟⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣤⣤⣤⣶⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿