Coconut milk Emojis & Symbols

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⣒⣛⣫⣭⣭⠭⠤⠶⠶⠶⠶⠶⠶⠶⠶⠶⠿⢯⣝⢶⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣷⣏⣉⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⣀⣀⣀⣤⣤⢾⢿⣧⠤⠤⠤⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⢀⣉⣉⣭⡭⠭⠿⠿⠿⠯⠭⠭⠭⠭⠶⠶⠶⠶⠦⢬⣿⣇⡤⣤⡀⠈⢳⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⡶⠏⠭⠿⠿⣿⣿⢯⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⠴⢺⣿⠏⠀⠀⢹⠀⠈⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣒⠽⠚⣉⠴⠒⠒⢒⠒⠒⢿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⢀⡀⠀⢸⣿⠀⠀⠀⢸⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⠞⣥⠔⠻⡙⠄⠀⠀⠈⠀⠀⢸⣼⡀⣰⠂⢠⢲⡄⡖⠀⡖⣳⢰⡖⡄⢤⣠⡆⢻⣇⡀⢸⣿⠀⠀⢀⡟⠀⣸⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⡜⢁⡔⠁⠀⠀⠙⠂⠀⠀⠀⠀⢀⠞⡏⡇⠈⠉⠈⠉⠀⠉⠁⠈⣁⠈⢀⡀⠀⡁⠀⠀⠀⠀⡼⣿⠀⢀⡞⠁⣠⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢹⠃⢸⠀⠀⠀⠀⠀⢀⣀⡠⠔⢾⣡⢞⣿⢹⡀⠀⠀⣦⢶⣤⢦⡀⣽⠀⢸⡇⠀⣧⡠⠄⠀⢠⢧⡟⠒⠋⣀⡴⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡟⢇⢉⡟⠐⠒⢒⣋⣩⠥⠶⣚⠩⠖⠇⠘⣏⢣⡀⠀⠃⠘⠃⠘⠃⠘⠀⠘⠃⠀⠛⠛⠂⢠⢎⡾⠶⠖⠛⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡖⠬⠭⣭⠧⠥⢦⡒⠂⠉⠳⡀⠀⠘⡄⢹⣦⡳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢋⡞
⠀⠀⠀⠀⠀⠲⢶⣈⠉⠉⠉⢻⣆⠀⠈⢢⡀⠀⠑⢄⠀⠀⠹⣄⠀⢳⡈⣇⡿⢮⡓⠦⢤⣤⣤⣤⣤⠤⠤⠤⠶⠚⣱⠋
⠀⠀⠀⠀⠀⠀⠀⠈⠉⣛⠿⢛⣛⣳⣄⠀⠙⠦⣄⠀⠑⢦⡀⠙⣆⠈⣇⡾⠁⠀⢹⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠞⠛⠒⠒⠲⠬⠽⠿⠶⢤⣈⣙⣲⣤⣝⣦⡼⠗⠉⠀⠀⠀⠈⠛⠻⠿⠷⠶⠶⠶⠶⠒⠒⠛⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠉⠉⠻⢓⣒⡦⠤⢤⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠄⠀⠀⠀⠀⠀⠈⠉⠓⠒⠮⠭⢽⣶⣶⣤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⢈⡁⠒⠢⠤⣄⣀⣀⠀⠈⢱⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠙⣧⡀⠀⠀⠀⠉⠙⠓⣾⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣇⡇⠀⠀⠀⠀⠀⢸⣸⠉⢦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠰⣄⠀⠀⢔⡽⣳⠃⠀⠀⠀⠀⠀⢇⣟⣦⣄⠹⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠨⢽⣢⣵⡾⠛⠀⠀⠀⠀⠀⠘⣼⡟⠈⠛⠓⠈⢣⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠠⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣴⠦⣀⣄⠈⠉⠙⠓⠻⠵⣶⣤⢤⣀⣀⡀⠀⣼⢁⡠⠔⠊⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠙⠒⠻⠼⢻⣉⣰⠶⣦⣄⢀⠀⠈⠀⠈⠉⣳⣿⡇⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠸⢾⣷⣦⡄⢁⣈⠛⠉⠟⠿⢿⣸⢲⡖⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠉⠓⠚⠻⠀⠀⠀⠀⠀⠁⠈⠁⠀⣿⣿⡇⠀⠀⠤⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢠⠀⠀⠀⠢⡀⠀⠀⠀⠀⠀⠀⡟⣿⡇⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢀⠐⢢⠀⠀⠘⡀⢀⠀⠀⠀⠀⡇⡟⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠠⢄⠀⡤⡄⢃⠘⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠑⢄⠀⠀⠀⠀⠉⠀⠀⠀⠁⡀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠐⡏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⣀⣇⣧⠀⠀⠀⠀⠀⠀⠀⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡇⠁⠉⠀⠀⠀⠀⣠⠄⠀⠀⠀⠂⠀⠐⠠⠤⡇⠁⠀⠀⠀⠀⢰⠆⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⡔⠀⠀⠈⠀⠈⠂⠀⢠⠀⠀⡇⡋⠁⠀⠀⠉⠀⠀⠀⢛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢆⣀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⡇⡏⡏⠀⠀⢀⠀⠀⠀⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠈⠉⠉⡏⠳⣄⣀⡀⢀⣠⠔⡪⣃⠀⠀⡇⡇⡇⠀⠀⠠⠄⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠘⠀⠻⠙⡹⡻⢓⠈⠳⣶⣄⠀⡇⡇⡇⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⢀⠀⠀⠀⠀⠀⠀⠁⠱⢿⠀⡆⣽⣿⠆⠀⣇⡇⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢭⣒⠤⣀⡀⠀⠀⠀⠀⠀⠇⢻⠛⣧⠀⣇⡇⠀⠀⠀⠀⠀⣀⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠭⣓⣢⢤⣀⠀⠀⠈⠀⠙⠀⡿⡇⢀⠠⣠⠴⠚⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⠷⢶⣤⣀⣀⣏⡻⠗⠋⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉

⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄
⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡇
⠀⠀⠀⠀⠀⠀⠀⢸⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀
⠀⠀⠀⢀⣴⣾⣿⠟⠉⠉⠉⠉⠉⠉⢉⣭⣿⣿⠟⠋⠛⢿⣿⣶⣄
⢀⣤⣾⣿⠿⠋⠀⠀⠀⠀⠀⠀⣠⣶⣿⡿⠋⠁⠀⠀⠀⠀⠉⠻⢿⣿⣦⣀
⣾⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⣼⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⡆
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⡇
⣿⣿⠟⠟⠛⠛⠛⠛⠛⠛⠛⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠟⠛⢿⣿⡇
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⣀⣤⣶⣾⣿⡿⠿⠿⣿⣶⣤⡀
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⣠⣶⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⢻⣿⣿⣆
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠟⠋⠀⣀⣠⣤⣀⠀⠀⠀⠀⢸⣿⣿⣿⣷⡀
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠿⠋⢀⣤⣾⣿⡿⠿⠻⣿⣷⡀⠀⠀⣸⣿⡇⠘⣿⣷⡄
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠁⣠⣶⣿⡿⠋⠁⠀⠀⠀⣾⣿⠇⠀⢰⣿⣿⠁⠀⠘⣿⣿⡀
⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣾⣿⠟⠁⣠⣾⣿⠟⠁⠀⠀⠀⠀⠀⣼⣿⡟⠀⣠⣿⣿⠃⠀⠀⠀⠹⣿⣧
⣿⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿⣿⡏⠉⠉⠉⠉⠉⣹⣿⡿⠃⢠⣾⣿⠟⠁⠀⠀⠀⠀⠀⢠⣾⣿⠏⠀⣴⣿⡿⠁⠀⠀⠀⠀⠀⣿⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⢀⣾⣿⠟⠀⣰⣿⡿⠃⠀⠀⠀⠀⠀⢀⣴⣿⡿⠃⢠⣾⣿⠟⠀⠀⠀⠀⠀⠀⠀⢸⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢀⣾⣿⠋⠀⣼⣿⠟⠀⠀⠀⠀⠀⢀⣴⣿⡿⠋⢀⣴⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢀⣾⣿⠃⠀⢰⣿⡟⠀⠀⠀⢀⣠⣾⣿⡿⠋⢀⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⣼⣿⡏⠀⠀⠘⣿⣷⣤⣤⣶⣿⡿⠟⠁⣠⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⣿⣿⠀⠀⠀⠀⠈⠙⠛⠛⠉⠁⣀⣴⣾⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠇
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⢿⣿⣆⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠏
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠈⠻⣿⣿⣶⣶⣾⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠃
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠈⠻⣿⣿⣯⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⡿⠏
⣿⣿⣄⣤⣤⣤⣤⣤⣤⣤⣤⣿⣿⣧⣤⣤⣤⣤⣤⣤⣽⣿⣿⣿⣶⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣶⣾⣿⠿⠋
⠙⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠉
⣿⣿⡿⠻⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣷⣶⣶⣶⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⢤⣤⣤⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⢠⡞⠁⢹⡎⠙⠲⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣴⡶⣶⡶⠶⣾⡿⠛⠷⣦⠀⠀⠀⠀⢠⡞⠁⠀⠀⢀⡟⠀⠀⠀⣧⠀⠀⠘⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⣼⡏⠀⣿⡇⢠⣿⠁⠀⢀⣻⡆⠀⠀⠀⣾⠴⠶⢦⣄⣼⠁⠀⠀⠀⣿⠀⠀⠀⠸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⣹⣧⣤⣿⣷⠶⢿⣷⡿⠛⠛⢿⡄⠀⠀⠀⠀⠀⠀⠘⠛⢻⣏⡟⠲⡿⠞⠛⠛⠶⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⢻⣦⣴⡶⠾⣷⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡅⣀⣠⣽⣇⣀⣀⣀⣤⣤⣤⣤⡞⣾⣄⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡟⠋⠉⢿⡟⠉⠉⠁⠀⠀⢀⡇⡏⠉⠉⠙⠛⢷⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠾⠛⠋⢹⣷⣶⠿⠿⣷⣤⣴⣶⡶⠶⣾⢱⣷⣶⡇⠀⠀⠀⣿⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠟⠉⠀⠀⢀⣠⡶⢿⣇⣠⣤⣼⣧⠀⠀⠀⠀⡼⣸⣾⠟⠀⠀⠀⣼⡟⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠋⠀⠀⢀⣤⡾⠟⠉⠀⠘⣿⡏⢉⣀⣿⡆⠀⢀⣠⣿⠟⠁⠀⠀⣠⣾⠋⠀⠸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⣀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠹⣿⡿⣛⣹⣿⡶⠟⠋⠀⠀⢀⣴⡾⠋⠁⠸⡇⠀⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡅⠀⠀⠈⠛⠿⠶⣶⣤⣤⣤⣴⣶⠶⠿⠟⠛⠉⠁⠀⢀⣠⣴⡾⠟⠉⠀⠀⠀⠀⠃⠀⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣶⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣆⠉⠙⠛⠻⠿⠿⠿⠿⠿⠿⠿⠛⠛⣋⠉⠁⠀⠀⠀⢰⠀⠀⠀⠀⣤⠀⠀⠀⠀⢀⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⢀⡀⠀⠀⠀⠰⡆⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠸⠆⠀⠀⠀⢻⠀⠀⠀⢻⣼⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣾⡇⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⠀⢰⡆⠀⠀⢸⡇⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⣶⠀⠀⠀⠀⢀⣼⡿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣌⡃⠀⠀⠀⠁⠀⢠⡄⠀⠀⠀⠇⠀⠀⠀⠸⠇⠀⢀⣴⡿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣶⣤⣀⡀⠀⠈⠇⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣯⣤⣤⣤⣄⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠋⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣦⠀⠀⠀⠀⢀⡜⡿⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⢀⡏⢹⠀⠀⠀⢠⠞⢠⠃⠀⠀⠀⠀⣀⢴⡾⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢳⠀⠀⢸⠃⢸⠀⠀⢠⡎⠂⡞⠀⠀⢀⡴⢚⡵⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠖⠒⠒⠛⠛⠓⠒⠒⠢⠤⣄⣀⠀⢺⠀⢧⠀⢸⠆⠸⡄⠀⡾⠘⢸⠁⢀⡴⢋⡴⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠁⠀⣀⡤⠤⠖⠒⠒⠀⠀⠀⠀⠀⠀⠈⠙⠻⢴⡈⢇⢸⣠⠀⡇⢰⡇⢁⡇⡰⢏⡴⠋⣀⣤⠴⠶⣒⠞⠋⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠁⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠒⠂⠤⠄⠀⠙⠺⡎⣯⡀⢹⢸⡇⣸⢟⣵⡯⠖⣋⠥⢂⡠⠞⠁
⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⠀⠀⠠⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⡤⠽⣾⡆⣸⠞⠛⠛⠛⠛⠶⠮⣤⡖⠉
⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⣀⠄⠂⠀⠀⠀⣀⡤⢖⣺⠭⠛⠛⠉⠉⠉⠉⠁⠀⠀⠀⢸⢿⠃⠀⠀⣀⡠⠤⣀⠀⠀⠉⠓⢿⣁
⠀⠀⠀⠀⠀⡰⠃⡜⠀⠀⠀⠀⡠⠞⠁⠀⢀⡠⠖⡫⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣰⠋⢸⠀⠀⠰⡏⠀⠀⠈⠉⠙⠦⢤⣀⠈⠳⢤⡀
⠀⠀⠀⠀⣰⠁⡼⠀⠀⠀⢠⠎⠀⠀⣠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠁⠀⣰⠃⠀⠈⡇⠀⠘⢧⢠⠀⠀⠀⠀⠀⠀⠉⢣⣀⠀⠙⢦⡀
⠀⠀⠀⢠⠇⢠⠃⠀⠀⠀⠁⠀⡠⢊⠴⠋⠀⠀⠀⠀⣀⠄⠀⠀⠀⣀⠤⠒⠉⠀⠀⠀⢠⠇⠀⠀⠀⠸⡄⠀⠘⣆⢆⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠙⣆
⠀⠀⠀⢸⠀⠘⠀⠀⠀⠀⡠⢊⠜⠁⠀⠀⠀⠀⠐⠋⠁⠀⠀⢀⣠⡤⠶⠖⠒⠒⠲⠦⢼⣀⡂⠀⠀⡀⠙⣆⠀⠉⢧⡀⠀⠀⠀⠀⠀⠀⠐⡄⢸⡄⠀⠸⡄
⠀⠀⠀⢸⠀⠃⠀⠀⢀⠞⡠⠁⠀⠀⠀⠀⠀⣀⠀⠀⣠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢮⡀⠀⠈⠳⣄⠀⠙⠲⣄⠀⠀⠀⠀⠀⠐⠀⣟⠀⠀⣇
⠀⠀⠀⠈⡇⠀⠀⡴⠁⠊⠀⠀⠀⠠⠔⠚⠉⢀⡤⠊⠁⠀⠀⠀⣠⠶⠒⠓⠒⠞⠤⢄⡀⠀⠀⠀⠀⠙⣦⡀⠀⠈⠙⠦⣄⡀⠙⠛⠲⠤⠤⠤⠖⠁⠀⠀⡟
⠀⠀⠀⠀⡇⢀⠞⠀⠀⠀⠀⠀⠀⣀⠠⠤⣶⠋⠀⠀⠀⣀⡴⠊⡡⠄⠂⠀⠀⠀⠀⠀⠙⠶⡌⠀⠀⠀⢸⣷⣄⣀⣀⣀⠀⠉⠓⠒⠤⠤⣀⣀⣀⣀⣤⡞⠁
⠀⠀⠀⠸⣄⣊⣀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⢀⡼⠁⠀⠈⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⣧⠏⠀⠈⠉⠳⣄⡀⠀⠀⠀⠀⠀⠀⣠⠎
⠀⠀⠀⠀⠀⠀⠈⠙⠦⣀⠀⠀⠀⠀⡾⠁⠀⠀⢀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠺⠧⣄⡀⢰⡏⠀⠀⠀⠀⠀⠘⡇⣀⠄⠂⠀⣠⠞⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠒⢶⠇⠀⠀⠠⡞⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠈⡿⠀⠀⠀⠀⠀⠀⢀⠏⢀⣀⣴⠾⠛⠛⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⢀⡀⢳⣶⣷⣶⢾⠓⠒⠛⠻⠟⠛⢻⡏⣉⣉⣭⡿⢶⣦⡤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠠⢐⣩⠷⣄⠀⠀⠀⠀⣠⣽⣿⣿⡟⢆⠈⠀⠀⠀⠀⠀⢸⡯⠥⠤⢤⣄⣀⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠐⠉⠙⠲⠦⣄⣤⠴⠶⠒⠋⠉⠀⢀⡼⠛⠓⠚⠋⠀⠁⡿⢹⠟⢈⠳⣄⠀⠀⠀⠀⡼⠶⠶⠶⣤⣤⣤⠬⠽⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡧⣄⠀⠀⠀⠀⢀⡼⠃⡞⠀⠉⠀⠈⠹⣶⣖⠻⢕⠢⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣟⡲⠤⣤⣄⣠⣤⠤⠴⠒⠛⠉⠁⠀⠈⢙⣷⡒⠛⠉⣠⡞⠁⠀⠀⠀⠀⢀⣧⡙⣷⢤⡑⠦⡙⠲⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠢⠤⠤⣤⣄⣀⣠⡤⠬⠥⠖⠚⠉⠀⠉⠉⠉⢽⠳⣤⣠⣤⢖⢻⡉⢧⠱⡈⢧⠉⠓⠬⣄⣀⡙⢦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⡇⠀⠸⣆⠈⡇⠀⠳⡄⠀⢳⠀⠀⠀⠈⠉⠙⠛⠆
⢀⠆⠀⢈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡇⠀⠀⠙⡄⣇⠀⠀⠈⠲⣄⢣
⡞⠀⠀⠈⡀⢠⡀⡠⠄⢀⢠⡀⡄⢠⠀⢀⠀⡀⢺⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠙⢾⡀⠀⠀⠀⠈⠙⠧
⢷⠀⠀⠀⠳⠤⠙⠧⠄⠳⠤⠀⠿⠈⠦⠻⠔⠧⠘⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁
⣬⣷⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤
⣿⣿⣏⣈⣉⣉⡉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠖⠒⠒⠒⠲⠶⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠹⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⣄⠀⠀⠀⠀⢠⠟⠀⠀⠀⠀⠙⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣬⠷⠤⠤⢤⡟⠀⠀⠀⠀⠀⠀⠸⡆
⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⠉⠀⢀⣀⣀⣀⣼⠀⠀⠀⠀⠀⠀⡀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠈⠷⠴⠆⠀⠀⠀⠀⠀⠀⡾⠁⢀⣤⠖⠋⠉⠁⠀⠀⢹⡄⠀⠀⠀⣀⣰⠇⢀⣿⡄
⠀⠀⠀⠀⠀⠀⠀⢸⡇⠘⢳⡄⢀⡶⠂⠀⠀⠀⠀⢸⡇⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠹⢦⣀⠀⠉⣀⣠⣞⠁⠹⡆
⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠈⠁⠀⠃⠀⠀⠀⠀⠀⢸⣇⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⢸⡆⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢧⡀⠈⠛⠶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠟⠀⢠⡏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⠙⠳⣤⣀⠀⠉⠙⠓⠒⠒⠒⠒⠛⠋⠉⠀⣠⣴⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⢤⣀⣀⣀⠀⠀⣀⣈⣷⣄⠀⠉⠙⠓⠶⠦⠤⢤⣤⠤⠤⠶⠚⢋⣡⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠀⠈⠓⠦⣄⣀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠋⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠉⠉





⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⠛⢻⡟⡛⢻⡿⣻⢿⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣶⣶⣦⣤⣀⠀⠀⠀⠀⢀⣂⣰⠂⠀⠀⠁⠁⢈⠄⠀⠐⢀⣀⣀⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠛⠉⢉⢀⡀⠀⠀⠈⠛⢿⣷⣆⠀⠀⠈⠉⠛⠛⠛⠛⠛⠛⠓⠒⠛⠚⠛⠋⠉⠉
⠀⠀⠀⠀⠀⠀⠀⣠⣶⠛⠁⠀⠐⠀⠙⣀⠀⠈⠑⢆⠀⠈⠿⣿⣧⡀⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠀⢀⣼⡟⠉⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠸⢦⠀⠀⣿⣿⣧⠀⠀⠀⠔⠁⠄⠄⠀⠤⠠⠤⠞⠆
⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠠⠁⠩⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠰⠐⠀⠠⠄
⠀⠀⠀⠀⠀⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⡨⠁⠀⢰⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣤⣀⡀
⠀⠀⠀⠀⠀⣿⡅⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⢨⡵⠁⠀⣤⣿⣟⣻⡾⠁⠀⠀⠀⠀⠀⢀⡴⠋⠰⡳⠆⠁⢻⡄
⠀⠀⠀⠀⠀⠘⣿⣄⡀⠙⠒⠲⠢⠴⠶⠐⠒⠁⠀⣠⣾⡿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠰⡄⠂⡄⠨
⠀⠀⠀⠀⠀⠀⠘⢿⣷⣦⣄⡀⣀⣀⣀⣀⣀⣴⣿⣟⢿⢷⣾⣿⠟⠀⠀⢠⡆⠉⠆⠀⠹⣦⣀⣀⡖⠒⣾⡅⠄
⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⡿⣿⡛⣏⢹⣤⣻⣿⣿⠟⠁⠀⠀⠀⠀⢷⠀⠀⠈⠁⠘⠛⠋⢰⣾⠟⠃
⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠿⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠈⢳⣀⡈⠀⠀⡀⣦⡿⠋
⠀⠀⢠⣇⠀⠀⠈⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⠀⠀⠀⠀⠀⠀⠉⠓⠚⠚⠋⠁⠀⠀⠀⠀⠰
⠀⠀⠀⣿⡀⠀⠀⠠⢆⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣤⣾⡿⠀⠀⠳⢤⣀⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣤⠄
⠀⠀⠀⠸⣷⡀⠀⠀⠈⠀⠄⠀⢀⢠⠄⠈⠌⠀⠀⢀⣾⣿⡟⠁⠀⠀⠀⠀⠀⠉⠈⠀⠀⠀⠒⠀⠀⠀⠈
⠀⠀⠀⠀⠘⢷⡄⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢀⣾⣿⠟⠁⢀⠀⠀⠤⠀⠀⣀⡀⠀⢀
⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣟⠴⠉⠀⠀⠀⢀⠀⠀⠀⠉⠃⠀⠚⠁⠀⠀⠐⣦
⠀⠀⠀⠀⠀⠀⠀⠈⠻⠷⣶⣦⣤⣴⠶⠞⠛⠋⠀⠀⠀⠀⠀⠀⠀⠉⠢⡀⣀⠀⠀⠀⠀⠀⣀⠴⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⠐⠒⠉⠁

⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤
⣿⣿⣤⣯⣴⣬⣿⣵⣯⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⢰⢠⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⣸⡦⠂⠉⠉⢩⡿⣿⣿⡋⠓⢦⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣴⣄⣀⣼⣇⣡⣌⣤⣾⣦⣬⠟⡰⠡⠀⠈⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠁⢷⡦⠉⠉⠻⣿⣿⣧⣌⢀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠘⣷⠀⠀⠀⣿⣿⣿⠿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣿⠀⠀⠰⣿⡏⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⢀⣿⠀⠀⠐⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⣸⣿⠀⠀⠸⢿⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⢠⣿⡟⠀⠀⢀⣾⣿⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⣸⣿⠗⠀⠀⠈⢻⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⢀⣿⣧⠒⠀⢀⠀⢸⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⢸⣿⣿⣿⣿⡟⠀⣾⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣾⣿⣿⣿⣾⡁⣼⣿⡿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣶⣿⣿⡿⠟⠁⠀⢠⢦⠀⠀⠀⠀⠀⠀⡴⠄⠀⢠⠀⠀⠀⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡽⠭⢭⠉⠀⠀⠀⠀⢸⡏⢰⡿⣧⣾⡄⠀⡇⣠⣿⢾⣼⣇⣼⣧⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⢰⠆⠀⠀⠀⠀⠀⠁⠈⠁⠀⠉⠀⠀⠉⠁⠁⠈⠈⠁⠉⠁⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠶⠯⣀⠵⣿⣶⣦⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠄⠉⠀⠐⠴⢲⣾⣿⡿⠋

⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⠋⠛⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⡄⠀⠀⣠⠀⠀⡰⠂⠀⠲⡀⠀⢀⠄⠀⠀⠀⢰⣶⣗⠄⢠⠀⡰
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⢀⡲⣿⠀⠀⠉⠂⠀⠁⠀⠀⠀⠀⠀⠞⠑⠀⠀⠀⢠⣿⡡⣠⡿⡰⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⡟⠁
⠀⢀⣀⣀⣀⣀⣠⠴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⢠⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⡤
⠀⠀⠈⠁⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠆⠀⠀⠀⠀⣼⠿⡀⡀⠀⠈⠏⠀⠀⠀⠀⢲⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠀⠁
⠀⠀⢀⡈⠀⣀⠠⢀⡀⠀⡐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢀⠃⠀⢸⣧⣦⣴⠇⠀⠀⠀⠀⠈⢷⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠇⢀⡀⡄
⠀⠀⠐⠃⠀⠙⡄⠀⠀⠈⠻⠛⠢⠀⠀⠀⠀⠀⠀⠀⠀⢊⠀⠀⢸⣠⠀⣿⠉⠡⠯⠐⠤⡄⠀⠀⠀⠈⠑⢆⣲⠀⠀⡆⠀⠀⢤⡄⠀⠠⠋⠀⠈⢢
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⠄⢸⣿⣷⣾⡄⠀⠀⠀⠀⠛⠢⠀⠀⠀⠀⠀⠀⠉⠀⠁⠀⠀⠁⠵
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⠀⠀⢸⠆⠤⠦⠀⠀⠀⠀⠠⠠⠀⠀⠀⠄⠊⠁
⠀⠀⠀⢀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢻⠟⢹⡷⠀⠈⡦⠀⠀⠀⠀⠀⠀⠀⠘⠀⠁⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠈⣷⠆⠀⠀⠀⣰⡄
⠀⠀⣄⡜⠻⡆⠀⠀⠀⢀⠚⠀⠀⢀⠁⠈⢀⡿⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣥⠀⠀⠀⠀⠀⠀⠁⠀⠀⢠⡠⠻⢇
⣴⣷⣟⠀⠀⢁⠀⠀⢀⠠⠀⠀⠀⣼⠀⡀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠁⠀⠀⠀⠀⠀⠀⠸⣶⣴⣾⡁⠀⠘⡄
⠒⠀⢸⠇⣰⣼⠀⢀⠠⠁⠀⠀⢰⡿⠋⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡲⠒⠁⠚⠐⠐⡿⢀⣦⡇
⠀⠀⠾⠿⠿⠿⠀⠂⠆⠀⠀⠀⠉⠀⠀⠀⠀⠀⢀⡇⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡎⠋⠀⠀⠀⠀⠸⠿⠿⠿⠇⠐
⢐⠐⠀⠀⠀⠀⠐⠓⠀⢻⠀⠀⠀⠸⠒⣤⢠⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠆⠂⠀⠀⠀⠀⠓
⠈⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⠀⠈⠀⠃⡀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⡀⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠙⠑⠀⠀⠈⠉⠓⢦⠤⠤⢤⠄⠀⠀⠀⠀⠀⠀⡏⠀⠐⠀⠀⣠⢾⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠈⠁⠀⠀⠀⠐⠓⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡵⠊⠁⠈⡏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⢦⠀⠀⠀⠀⠀⠀⠀⢰⣾⣼⠁⠀⠄⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⣀⣣⠀⠀⠺⠀⠀⠊⠀⠀⠉⠂⠀⣰⠶⠀⠀⠀⠈⣿⠟⠁⣼⢀⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠐⠊⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠘⠿⣯⣾⣿⠎
⠀⠀⠀⠀⠀⠀⠀⢀⣠⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⠀⠀⠲⠒⠒⠲⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⢰⣧⠀⠀⠀⠸⡿⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠐⠖⠒⠒⠞⠉
⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⠀⠀⠀⡟⠉⢦⡆⡀⢀⡄⠀⠀⠀⠀⠘⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠂
⠀⠀⢰⠃⠀⢳⠈⠐⠂⠀⣦⣖⡀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⢰⠀⠀⣼⠿⠛⡿⢁⠀⠀⠀⠀⠀⠸⢥⡀⣀⠀⠀⡄⠀⠀⢀⠀⠀⠀⡞⠁⠸⡂⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡶⠿⠿⢶⣶⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠋⠁⠀⠀⠀⠀⠈⠙⢿⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⣿⡆⠀⠀⢰⣿⣁⣀⣀⣀⣀⣀⡀⠀⠀⠈⢿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠈⠛⠛⠛⠛⠛⣿⡟⠻⠿⣶⣦⣼⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⣶⣶⣿⣿⡾⠿⠿⠿⠶⣶⣶⣿⣷⣤⣤⣄⣀⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡾⠟⠛⠉⠉⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⢸⣿⠀⠈⠉⠙⠛⠿⣶⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⢷⣦⣤⣄⣀⣀⣀⠀⠀⠀⢿⣇⠀⠀⠀⠀⣼⣟⣀⣀⣀⣤⣴⣾⠿⣿⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠉⠙⠛⠛⠛⠛⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠋⠉⠁⠀⠀⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⣀⣀⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣀⣀⣠⣿⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠛⠛⠛⠉⠁⠈⠻⣷⣄⣀⣤⣾⠿⠻⢷⣦⣀⣀⣴⡿⠋⠀⠉⠙⠛⠛⣻⡟
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣿⣇⣀⡀⠀⠀⠀⠀⠈⠛⠛⠋⠁⠀⠀⠀⠉⠛⠛⠋⠀⠀⠀⠀⠀⠀⢀⣿⠇
⠀⠀⠀⠀⠀⠀⢀⣼⡟⠋⠉⠉⠉⠙⠛⠻⠿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟
⠀⠀⠀⠀⠀⠀⣾⣿⡄⠀⣾⡟⠛⠿⠷⣶⣤⣄⡉⠛⠿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟
⠀⠀⠀⠀⠀⢸⡿⠹⣷⡄⠙⣿⣄⠀⠀⠀⠉⠛⠿⣷⣤⡈⠙⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋
⠀⠀⠀⠀⠀⣾⡇⠀⠘⢿⣦⡈⠛⢿⣦⣀⠀⠀⠀⠀⠙⠻⣷⣄⠙⢿⣦⡀⠀⠀⠀⢀⣠⣴⡿⠋
⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠙⠿⣶⣄⠉⠻⢷⣦⣄⡀⠀⠀⠈⠻⣷⡄⠙⣿⣶⣶⠿⠟⠋⠁
⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠈⠛⠿⣶⣤⣈⠙⠻⠿⣶⣶⣤⣾⡟⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣶⣦⣤⣄⣀⣀⣀⣤⣾⡟
⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⣻⣿⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⡾⠟⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⢶⣶⣶⡶⠿⠟⠛⠉

⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠀⣴⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶
⠀⠀⠀⠀⠀⠀⠘⠀⠀⠁⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠺⣿⣿⣿⣿⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠛⠛⠟⠳
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠀⠀⠀⠀⠀⠀⠀⠀⡉⠙⠛⠳⢤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣳⢽⣾⣿⠀⠀⠀⠀⠈⢷⢀⣄⡄⢀⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢾⢱⣶⠀⠀⠀⠀⠀⢺⣠⣼⠒⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣌⢣⣫⠀⠀⠀⠀⠀⠘⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣷⠒⠀⠀⠒⠐⢲⣿⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡟⠁⠀⠀⠀⠀⠸⣿⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣄⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⣿⣶⣶⣿⣿⣿⣿⣿⡟⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠟⠿⢿⣿⣿⣿⣿⠟⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⠚⣿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠔⠂⠘⠀⢿⠁⠐⢠⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⠀⠤⠤⠤⠄⠚⠋⠁
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣟⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⢀⡼⠁⠀⣉⠙⠒⠦⢤⣀⡀
⠀⠀⠀⠀⠀⠀⠀⣠⠴⠚⣉⣿⣿⠿⡄⢀⡞⢠⡆⢳⡈⠳⢤⡀⠀⠀⠉⣙⡶⠆⠀⠀⣀⣀⠀⠀⠿
⠀⠀⠀⢀⡤⠖⢋⡤⠖⠋⠁⠀⠹⡄⠹⡞⠀⢸⡇⠀⠳⠀⠀⠉⠀⢰⠊⠁⠀⠀⠀⠀⠓⠛
⠀⠀⠀⠀⠙⠚⠉⠀⠀⠀⠀⠀⠀⢹⡄⠹⡄⠘⠀⣀⣀⣀⡴⠚⠉⠉⠀⠀⠀⠀⢀⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠹⡄⠹⣤⠞⠁⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠸⢤⠟⠀⠀⠰⠗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠹⡄⠀⠀⢈⣿⣆⣀⣀⣀⣀⣀⣀⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠖⢻⡄⠹⣏⣉⣩⣽⣿⣭⣭⣭⣭⣭⣭⣭⣍⣉⣉⣛⣓⣲⣦⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠉⠛⠛⠛⠛⠛⠒⠒⠒⠛⠟⠖⠒⠒⠒⠚⠛⠛⠛⠛⠉⠉⠉⠉⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⢄⠀⠀⠀⠀⠀⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⢠⡏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠙⡆⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⣼⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⢧⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢰⠋⠁⠀⠀⣼⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠙⢆⠀⠀⠀⠸⡀⠀⠀⢀⡜⠀⠀⣠⠞⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⣤⣄⣀⠀⠀⠀⠀⠀⠀⣈⣠⡴⠛⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠋⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢠⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡛⡄⠀⡘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠇⣸⠃⠐⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⠀⠀⡏⠀⠘⡏⠐⠂⡦⢻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢱⢰⡇⠀⠀⢿⠀⡰⠁⠸⠀⠀⠀⡀⣠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢇⠂⢄⡀⠀⡇⠀⢿⠁⢀⠟⠸⣆⠇⠀⣸⠴⠊⠁⣰⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡐⢈⠂⡇⠀⢰⢀⡏⠀⢰⠏⠀⢠⡯⢴⡾⢡⣇⡠⣴⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡘⠃⠙⡀⠀⡿⢠⠀⠐⣂⡴⠋⣠⢋⡤⠛⣡⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢄⠁⠐⠒⠠⢀⢃⡶⠀⢷⣸⠇⠀⣀⠀⣿⠀⣸⠗⠉⢀⡝⠁⠀⣀⣀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⡙⠀⣀⡙⢿⡀⢰⡙⣄⡴⠉⢄⡿⠒⢛⡹⢣⡾⠶⠚⠋⢉⣠⠞⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠦⡒⠬⢷⣌⢧⡙⢇⢠⡄⣼⠁⠀⠛⢀⣴⣏⣰⠯⠒⢈⢛⡴⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢦⠀⠉⢋⣧⠀⢹⡎⢃⠀⠀⡼⢋⣤⡏⡤⣠⠾⠵⠞⠀⠀⡀⠴⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⣆⠂⠓⠶⢬⣯⡁⠺⣇⠀⣶⠺⡁⢀⠴⠤⠾⣥⠀⣀⡠⠚⢉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠈⠀⠈⣳⣄⠈⢳⡏⠀⠹⡅⢀⣤⡶⠋⠉⠉⢀⡤⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣌⠻⢭⡉⠙⢶⡀⠃⣀⢛⣠⡿⠠⢀⣀⠟⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣜⡓⠠⠹⣆⠀⣷⡚⢸⡏⢁⣤⡔⠚⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣝⠳⣴⡿⣦⢯⡼⣏⠿⣧⣤⠵⠶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢻⡥⠛⢃⣀⠛⠉⠢⣨⣟⠢⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠃⠏⢡⡄⠺⠈⢣⣤⡜⠁⠙⣦⢾⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠈⣧⡰⠁⠘⣆⣰⠋⠀⠻⣄⣐⠃⠀⢙⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⢀⠄⠑⣄⠀⢉⡈⠢⣀⠎⠰⠉⢢⣰⠋⢱⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠻⣄⠀⢀⡴⠋⢳⡀⢀⡴⠉⢦⠀⡴⢋⡝⢦⡰⢇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⢈⢶⡁⠀⠁⢀⣷⠋⠀⠀⡠⢿⠀⠀⢀⡜⢧⡸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠔⠁⠂⠹⣀⠔⠡⠆⢑⡀⠊⠐⠀⢧⡴⠁⠊⠀⣻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠛⢦⡀⢀⠖⡹⣆⠀⢠⠞⠹⡄⠀⣠⡘⢧⠀⢠⢊⢹⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⣹⡇⠈⠀⠘⣷⠁⠀⠀⢹⣎⠈⠀⢀⡵⢆⠈⣨⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡜⠁⠈⢢⡀⢂⠤⠱⣄⠔⡡⠈⠳⣠⠎⠀⠀⣷⢹⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣄⠀⢀⡴⠓⣄⠀⢠⣟⢦⡀⢀⡴⡛⢄⢀⡴⡉⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡈⢳⡋⠚⠁⠈⣷⠁⠀⠀⢱⣎⠀⠀⡨⢇⡘⢀⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢇⠙⢦⡔⠋⠀⠱⣄⠐⠁⠈⢳⡞⠁⠈⣷⠞⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠮⣑⢢⡤⠒⠍⠲⣤⠚⠉⢙⣦⠴⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠒⠒⠋⠉⠉⠉