Asparagus Emojis & Symbols

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡀⢸⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⢶⠀⠀⠀⢰⠀⡄⢸⣿⢷⢸⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣀⡐⢰⣾⡇⠐⠀⣿⠁⢻⢀⡆⢀⣴⢀⠀⡄⢠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣦⣘⡇⠀⡿⢳⠺⡄⡿⣆⣄⠼⢻⢠⣏⣾⠿⣀⣾⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠀⠀⠀⠀⢰⡀⢠⣭⡛⠻⡾⠀⣤⠀⢹⣷⣻⢋⢾⢸⠟⣹⣯⠀⠋⠀⠁⠀⡄⣏⡉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠟⣀⡀⠀⠀⠻⣿⣌⠻⣿⣷⣶⣿⣶⣿⣿⠃⢸⣆⠹⣶⢿⣼⡏⠷⠚⠀⢼⡷⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢆⣈⡇⠀⠀⢙⢿⠙⠟⠉⣿⡋⢻⢩⣿⣿⠀⠀⣻⡆⣧⡼⣿⠀⡀⠀⢠⡀⡷⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣻⡆⡀⠈⢻⣶⢸⣯⣿⡇⠀⢿⣿⣿⣇⢰⣿⡿⣿⣿⠸⣾⠃⠀⢸⠿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⠇⡀⠀⢻⡟⢹⣏⠻⠄⢈⣿⡿⣿⣼⠙⠆⣥⣾⣤⠉⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠁⠀⣿⡇⠞⢻⣦⣀⠀⣿⡇⣄⣈⣆⣀⣿⣿⡟⠀⠀⠀⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⠂⠹⣦⡀⣼⣟⣿⡇⢸⠁⠟⢸⣿⡇⣿⠋⢀⠀⠀⣀⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢠⠿⣿⣿⡇⢹⣅⢸⡀⢀⠛⠾⣇⡁⢀⣦⢀⡈⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠳⡈⢢⣿⢛⡇⢼⣯⡈⢳⣿⡄⢀⣿⣧⡾⢹⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⣀⡀⢻⣆⠁⣸⣿⡇⠈⣿⡏⣸⣿⣆⡇⢰⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⢷⣤⡿⢁⣿⢻⣿⡀⠸⡇⠛⣿⣿⠃⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⢸⣿⡇⠘⣿⠈⢟⠃⠐⣧⣴⠃⢻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠈⠀⣾⣿⡇⠉⣸⣷⣾⡄⠀⢹⣿⡐⠻⠠⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⣿⣿⠛⣿⠙⣿⠋⢻⡷⠀⣿⣧⠀⢰⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⢸⣿⡏⠀⢿⣠⠀⠀⢸⣧⠀⢻⣿⡇⢸⣷⣧⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⣿⡏⡇⠀⣴⣽⣇⡆⢸⣯⠀⠀⣿⠁⠀⢻⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⠈⠻⢣⠇⠀⢘⣿⡄⠹⣼⣿⡆⠀⠉⠀⠀⠀⢷⣤⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠸⠟⣿⣇⠀⠸⢿⡆⠀⢀⠀⠀⠀⠈⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣄⡀⠀⠙⢿⣧⡀⠸⣿⡀⢸⠖⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢄⠀⠀⠀⠀⡄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⡀⠀⢀⠜⠓⣄⠀⠋⠀⠀⠱⡄⠀⠘⢀⠀⠈⣄⠀⠀⠀⠀⠀⠀⢀⠔⠊⠁⠘⣄⡠⠂⢄
⠀⠀⠀⠀⠀⠀⢀⡠⢄⠀⠰⠃⠀⠙⢦⡞⠈⠣⣌⠀⠂⠈⢾⠁⠐⠀⠀⢵⣠⠆⠀⠀⠁⠈⢦⠀⠀⠀⣠⠞⠁⣂⢀⡠⢀⡏⠀⠀⢰
⠀⠀⠀⠀⠀⠀⣮⠀⠀⡱⣇⠠⠊⠀⠈⢣⡄⢠⠟⠀⠀⠑⢮⠐⢄⡠⠓⡄⠻⡀⢀⠀⠀⢁⣈⡆⠀⠔⠁⠀⣄⠁⠀⠀⠈⣧⠐⠁⠆
⠀⠀⠀⠀⠀⠀⢋⠀⠀⡀⡋⠀⠀⠀⠈⠈⢇⠰⠀⠀⠤⠀⢈⠀⢸⡇⠀⠘⢰⡇⠀⠐⣀⠈⠘⡇⠸⠋⠁⠀⢸⡀⠘⠃⢴⣏⠔⠒⠇
⠀⠀⠀⠀⠀⠀⢈⡀⠈⠁⢷⠀⠀⠀⠀⠀⠸⠀⣤⠀⠀⠠⢾⠢⠄⠁⠆⠀⢠⡃⢀⠂⠀⠀⣀⠃⡀⠀⠀⠀⠎⠀⠀⠀⡎⢠⢄⡴
⠀⠀⠀⠀⠀⠀⠀⢣⠀⠇⠈⢣⡄⠀⠀⠰⠦⡀⢹⠆⠤⠀⠀⢣⡀⠀⠐⠀⢸⢷⡌⠀⠀⠀⠛⠀⡇⢀⠀⠀⠀⢀⠔⠋⣀⠤⠊
⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠱⠉⠂⠀⢂⠸⡀⢳⡀⠀⠀⠀⠙⡄⠀⠀⠸⡂⢡⠀⠀⠀⣼⢠⠉⠉⠀⠀⢀⡧⠔⢉⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⡀⠀⠃⠀⠀⠸⠀⢣⠀⠱⠄⠀⠀⠀⠸⠀⠀⠀⣤⠈⡄⠀⣇⢸⡌⠀⠀⠀⠠⡎⠀⢀⡜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠸⠂⠀⠀⡇⠈⡆⠀⢇⠐⠀⢀⠚⡄⠀⠀⠉⠀⡇⠀⠈⢙⠣⠀⠀⢀⡰⠀⠀⣈⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⡦⠀⠀⢴⠀⠻⡀⠸⠀⠀⠠⠄⡇⠀⠀⠘⠃⡇⠀⠀⣈⡐⠀⠀⠈⠇⢀⢸⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⢰⠀⠀⠀⡆⠈⢧⠀⡇⠀⠀⠀⢰⠄⠀⠀⢸⡇⠀⢘⠁⠀⠀⢀⡞⠀⠁⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠈⠀⠀⠀⢃⠀⠈⡆⢁⠀⠀⠀⢸⠀⡀⠀⢨⡇⢀⠋⠀⠀⠐⠘⠃⠀⡜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⢳⠄⠄⠸⡁⡀⢰⢸⠋⠀⠀⠘⡁⠀⠀⠀⠃⡸⠀⠀⠀⢳⠇⠀⣠⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠸⡆⠀⠀⡇⠀⠀⣇⡀⠀⠀⡌⡇⠀⠀⠀⢸⣇⠀⠀⠀⡘⠀⠈⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⣀⠀⠀⠛⠀⠀⢸⡇⠀⠠⠀⣧⢀⠀⠀⢸⠀⠀⠀⣠⠃⠀⡛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠉⠙⠢⠄⣸⡇⠀⠀⣿⠀⠀⠀⢧⠤⠀⠀⢸⠀⠀⢀⡜⠀⠘⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⡶⠂⢠⡉⠁⠂⠧⠀⣀⠀⠀⠀⠀⠀⢘⠀⠀⢀⡃⠤⠛⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠈⠃⠓⠀⠀⠙⠙⠓⠂⠤⣉⡙⠋⠠⠤⢤⣌⣁⣀⣀⣀⣠⠴⢫⠦⠄⠀⠀⠀⠀⠀⠀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⡀⢠⣄⠐⠳⠀⠂⠀⠀⠀⠀⠤⢸⣾⣥⣆⠚⢦⠀⠁⠀⠀⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢃⣀⠐⠒⠂⠀⠀⢈⡀⠠⠤⠘⣿⠂⠀⠤⢀⣀⡀⠀⠀⢸⢉⡇⠙⠗⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠉⠋⠀⠀⠸⠆⠀⠀⠀⣿⠀⠀⠀⠀⣼⠀⠀⡏⡇⠀⠱⠀⠉⡌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⢸⠆⠀⠀⣇⡀⠀⠀⢀⣷⠀⠀⠀⠀⡏⠀⢰⠆⠰⠀⠀⠀⠀⡅
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⡈⠀⠀⠀⡇⠀⠀⢀⠀⣿⡆⠀⠀⠀⠁⢀⡎⢸⠀⢃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⡏⠀⠀⠀⡇⠀⠀⠀⠈⡟⡇⠀⠀⠀⡇⠘⠁⠆⢇⠈⢃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠀⢠⠀⠀⠀⠀⡇⠀⠀⠀⠀⠇⡇⠀⠀⠀⣇⣿⠀⠀⠘⡀⠈⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠸⠀⠀⠀⠀⠇⠀⠀⠀⢰⠀⠀⠀⠀⠀⣿⢁⡀⠀⠀⢣⠀⢡
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⡇⢸⡇⠀⠀⠘⡅⠈⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠃⠀⠀⠀⠀⢸⠀⠀⠀⡇⠀⠸⠀⠀⠀⡇⠀⡟⡀⠀⠀⠘⠀⢃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠁⠀⢰⠀⠀⠀⠀⠀⠘⠀⠀⢰⠀⠀⢰⠀⠀⠀⡇⠀⠀⢃⠀⠀⠀⢃⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡈⠀⠀⠀⠀⠀⡄⠀⢀⡏⠀⠀⠈⠀⠀⠀⠃⠀⢠⠸⡀⠀⠀⠘⡀⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⢠⡇⠀⠀⠀⠀⠀⡇⠀⢈⠁⠀⠀⡆⠀⠀⠀⠂⠀⢸⠀⠇⠀⠀⠀⢃⠰
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠠⠀⠀⠀⠀⠀⢰⠀⠀⡆⠀⠀⠀⠇⠀⠀⠀⠀⠀⢘⠀⠸⠀⠀⠀⠘⡀⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢤⡀⣧⠀⠀⠀⠀⠀⠘⠀⢀⠀⠀⠀⢸⠀⠀⠀⠀⡆⠀⠀⣤⠀⠇⠀⠀⠀⢧⠖
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠤⠄⢀⡠⢇⣀⣸⠀⠀⠀⡀⠀⠀⠀⠀⡇⠀⠀⡇⠀⠰⣄⠀⡠⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠈⠉⠑⠒⠒⠒⠋⠐⠈⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠛⢶⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠛⣿⠉⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢻⡟⢁⣀⣀⡾⠒
⠀⢀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⢧⣰⠟⠳⣄⡟⢷⡀⠀⠀⠀⠀⠀⢀⣴⡏⠀⣰⠟⠁⠀⣿⣀⣀
⠀⣼⠋⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣿⠀⠀⢘⣧⡈⣷⣄⠀⠀⠀⢀⡿⢀⣷⠊⠁⢠⠀⣠⠋⠀⣹
⠀⣿⠀⠀⢹⠛⠳⢦⡀⠀⠀⠀⠀⠸⡇⣾⠛⢦⡀⣼⠁⢻⡏⢿⠀⠀⠀⢸⡷⢾⠃⣀⣀⡿⠋⣻⢀⣴⣏
⣼⠏⠳⣦⣾⡀⠀⠈⢻⡄⠀⠀⠀⠀⢻⣿⠀⠀⣻⡇⠀⣸⡇⣸⠃⠀⠀⣿⠀⣸⠟⠁⣿⠤⣤⠟⠉⣴⠏
⣿⠀⠀⠘⣇⠳⣄⡀⡟⠙⢦⡀⠀⠀⣼⠏⢳⣴⡏⢻⣴⠋⢷⣿⠀⠀⢠⡿⠾⣯⣠⠞⢁⣠⠟⢶⠟⠁
⠘⣦⣀⣀⡸⣆⡟⠉⢻⡄⣈⣷⡀⠀⢹⡇⠀⢻⡄⠀⣿⠀⢸⡟⠀⢠⡟⠀⠀⠈⠉⠻⣯⣤⡴⠋
⠀⣾⠁⠈⢙⡓⣿⣄⠀⣿⠏⢿⡇⠀⠈⢻⡄⢸⡷⠶⠿⣦⣼⠃⢠⡟⠀⠀⠀⠀⢀⡼⠃
⠀⠹⣆⡀⠈⠁⢈⡿⠛⣯⠀⢸⡇⠀⠀⠀⠙⣿⠀⠀⠀⠈⣷⣠⡟⠀⠀⠀⠀⢀⡾⠁
⠀⠀⠈⢻⡏⠉⠙⢦⠀⢸⡶⠛⢷⡀⠀⠀⠀⢸⡇⠀⠀⠀⠘⣏⠀⠀⠀⠁⢠⡟
⠀⠀⠀⠀⠻⢶⣤⣼⠗⠋⠀⠀⠈⢷⡀⠀⠀⠸⣇⠀⠠⠀⠀⢹⡀⠀⠀⣰⠟
⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⢀⡠⠀⠈⢷⡀⠀⠀⣿⠀⠀⠛⠀⠀⣧⠀⣰⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠘⣧⠀⠀⣸⡆⠀⠀⠀⠀⠈⣾⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠘⣧⣴⠏⣧⠀⠀⠀⠀⠀⢿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠸⡇⠀⢹⡀⠀⢠⠀⠀⠸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠖⢠⠀⠀⢁⡀⠈⡁⠀⠀⠀⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⢷⣰⣷⠀⠀⠀⠀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠈⣧⢸⡄⠀⠀⠀⠀⠀⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⢹⡄⠀⠀⠀⠀⠘⣎⣧⠀⠀⠀⠀⠀⢹⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⢿⡀⠀⠀⠀⠀⠹⣿⠀⠀⠀⠀⠀⠸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠘⣇⠀⠀⠀⠀⠀⢻⡆⠀⠒⠀⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⣼⢿⡄⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⢹⡄
⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⢀⡼⠃⠈⣧⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⢀⡾⠁⠀⠀⢸⡆⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⣷
⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⣿
⠀⠀⠀⢀⡾⠁⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⢹
⠀⠀⢀⡞⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⢸
⠀⠀⢸⡇⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⣇⠀⠀⠀⣾
⠀⠀⠀⠛⠦⠴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣿⠀⠀⢀⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢀⣿⡀⢀⣼⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢦⣤⣤⡴⠞⠉⠙⠉⠁
⣿⣿⡿⠟⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣯⣤⣤⣤⣤⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣄⢢⡀⠀⣠⠀⠀⣤⣦⡀⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣆⠀⣼⣿⡟⡀⢁⣾⣿⣆⣰⣿⣿⣿⣿⡦⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢀⣾⣿⠦⣿⡿⢻⣥⣼⢻⣿⠋⢻⣿⣿⣿⡿⠁⢣⣼⣿⡄⡄
⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣾⣿⠟⠇⣽⣷⣿⣿⣿⣿⣿⠛⣀⢿⣿⣿⣇⠶⠀⣿⣿⣷⠠⡀
⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣻⠟⡸⢿⣿⠟⣶⠉⢠⣿⡏⢸⠀⢀⣿⣿⣯⡀⠙
⠀⠀⠀⠀⠀⠀⠰⣿⠇⢹⣿⣿⣿⠟⣿⣿⢃⠀⠘⣿⠿⠏⢠⠃⣿⣷⠘⡆⡈⠀⣾⣿⡇⠀⣦
⠀⠀⠀⠀⠀⠀⠀⣿⠞⠁⢹⣿⡟⠀⠹⡇⠘⣶⠗⣿⡀⠀⣾⠀⢹⣿⠀⠸⠇⠀⣿⠁⢦⠈⠇⡄
⠀⠀⠀⠀⠀⠀⠀⣥⣾⣀⢄⣹⠃⠴⡀⣿⠀⠹⠀⣿⠃⣸⠁⢂⢸⡏⠀⠀⣶⢀⣿⠀⠘⢀⢤⡄
⠀⠀⠀⠀⠀⠀⠠⣿⠙⠉⣶⡷⠊⢀⠃⠈⢄⠀⠀⢿⠀⡟⠀⠘⢠⡇⠀⡆⠈⢸⣿⡗⢸⡇⠀⣵
⠀⠀⠀⠀⠀⠀⠀⣿⡼⡄⣿⣧⡼⣯⠀⢰⡞⡇⠀⠈⢡⠁⠀⠀⣾⡇⣼⠃⢠⣾⣿⡇⠘⡇⢸⡏
⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣸⡇⢁⡈⠁⢸⠀⠀⢀⠀⣼⠀⠀⠀⣻⡇⠠⣾⠇⣿⡿⣷⡀⠘⠟⠓
⠀⠀⠀⠀⠀⠀⠀⠈⢿⡀⢿⣇⣼⠁⠀⡌⠀⢀⠚⠀⣿⠀⠀⠀⣿⡐⠆⠀⠜⢸⠁⠙⣷⠄
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣼⣿⠂⠀⢸⡇⠀⠸⠀⣰⡿⠀⠀⠂⣿⠃⠀⠸⠀⣿⠀⠀⢿⠀⢠⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢸⣷⠀⠁⣾⡇⠂⠀⠁⣿⠃⠀⠀⢠⣿⠀⠀⠀⢰⡟⠀⠀⢸⢠⡃⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⣿⡆⠀⣿⡇⠀⡀⠘⣿⠀⠀⠀⣼⡇⠀⠀⡴⣿⡇⠀⠀⡼⠘⠀⠰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⢹⣿⢀⣿⣯⠀⠀⠸⣿⠁⠀⠀⢸⡇⠀⡘⢀⣿⠀⠀⢠⡏⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⠙⣿⡄⠀⢨⣿⡀⠀⠀⢨⡇⠰⡇⣸⡏⠀⠀⣸⠃⠈⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡸⣿⡄⢸⣧⠀⠈⣿⡧⠀⠀⠈⣧⠀⠀⢹⠀⠀⠀⣿⠀⠀⣠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⠁⠀⠁⣿⣿⣸⣿⣇⠀⣿⡄⠗⠀⠀⣿⠀⠀⢸⡆⠀⢰⡏⠂⠀⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⣀⠀⠀⢻⣇⢺⣿⣆⣹⣧⠈⠀⠀⢹⡄⠀⢸⠇⠀⣼⡇
⠀⠀⠀⠀⠀⠀⠀⠄⠒⠉⠉⠉⢛⣶⣾⣿⠏⠛⠻⠙⣳⡄⣠⠁⢰⣿⠉⢹⣏⢹⣿⠑⠻⣿⠖
⠀⠀⠀⠀⠀⠶⣀⠀⠤⠄⠐⠈⠁⢸⡇⣁⣤⡴⣿⣿⣹⣇⠹⠀⡈⣿⠀⠘⣿⠘⣿⠀⠀⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠸⠉⠙⣿⡆⠻⣿⣿⣿⢀⠀⠀⢻⡆⠀⣿⡀⢿⠀⠀⣿⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠄⠈⠐⠁⠀⣬⣿⡇⠘⢿⣿⣿⡴⡆⠀⢸⡇⠀⢸⡇⠈⡆⠀⢸⠟⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢰⣿⡇⠀⠸⣿⣿⡇⠄⠀⢸⡇⠀⠀⠃⠀⠈⡀⠘⠦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣠⣿⠁⠀⣛⣿⣿⠇⡀⠀⢸⡗⠀⠀⠀⠀⠀⠁⠀⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢼⣿⠀⠀⢯⣿⣿⠀⠄⠀⠀⣿⠀⠀⣤⠀⠀⢠⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠈⢛⣿⠀⠠⣄⣻⡟⠀⠀⠀⠀⣿⠀⠀⢻⡆⠀⠀⡄⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠬⡟⠀⢨⣧⣿⡇⠀⠀⠀⠀⣿⠀⠀⢸⡇⠀⠀⡇⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⡇⠀⢨⢿⣿⠁⠀⠀⠀⠰⡟⠀⠀⣿⠃⠀⠀⣿⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣻⣧⠀⢐⣾⣿⠀⣀⠀⠀⠘⠋⠀⠀⣿⡀⠀⢸⣿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⠻⠏⠻⠿⠿⠢⠤⠀⢤⠐⠲⠖⠚⠛⠛⠛⠋⠁


⣿⣿⣿⠿⢿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣠⣄⣤⣤⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡑⡆⠀⠀⣤⢀⠸⣿⢆⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠧⣤⢰⣿⢀⠀⣿⠈⢃⣆⢰⣇⣄⠀⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⠀⢐⡷⢯⣼⢃⠁⢣⣌⣾⣪⢸⡼⣿⠋⠞⠳⠀⣠⡤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠶⣀⠀⠈⠳⣮⡱⣶⣧⣼⣧⣼⣿⠃⣏⠻⡴⣏⡷⡦⠀⢠⣧⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢣⣨⡆⠀⢙⣏⠻⡋⣿⠉⣏⣿⣏⠀⢸⣇⣥⡿⡇⡄⠀⣄⡿⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣿⣄⠀⠹⣧⣿⣿⡄⠘⣿⣿⡆⣿⡏⠟⡇⢻⠁⠀⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡇⠂⢠⡿⢸⢷⡈⠀⣿⠋⠋⣇⠀⣿⣿⠁⠀⢠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡚⠎⣷⣄⣼⣿⡗⠘⠱⠋⣿⡏⡿⢇⡀⢀⡤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⡟⢻⣿⠇⣷⠰⣄⡤⠙⣷⡀⣾⣄⡞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⢺⡘⠀⣿⡇⢹⣷⢀⣿⢻⠁⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢷⣌⡷⢠⡿⣿⡀⢿⠸⣿⣷⠀⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⠀⣿⡇⡸⣇⢛⠃⢸⣤⠆⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⢸⣿⣧⡀⣿⣿⣄⡀⢿⡎⠁⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⣼⡟⠀⣇⠉⠃⢸⡇⢹⣿⡄⣿⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⢀⣿⢹⠀⣭⣧⣀⢸⡇⠀⣿⠁⠹⣏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠈⠋⡆⢀⣸⣧⠈⣿⡗⠀⠈⠀⠀⠹⡶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠈⠹⣿⡆⠘⢳⡄⢰⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠀⠈⠉⠀⠘⠓⠘

⣿⣿⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢶⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠈⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠁⠀⠹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠁⠘⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⢻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⢿⠀⠀⣤⠙⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢘⣤⣴⠛⠀⣀⠀⠀⠀⣾⣦⠀⠀⠀⠀⡄⠐⢩⡿⢻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣄⡘⠃⠘⣧⡴⠁⠀⢸⠀⠀⠀⢀⣤⢠⡞⠀⠠⠘⠋⡁⠘⣾⣿⣆⡰⠀⣼⣿⠀⠀⢰⣟⢤⡀⠈⠁⠀⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠿⣿⠀⠀⢸⣇⠀⠀⢸⠃⠀⢰⣿⣿⠃⠘⣶⠇⠀⠀⠁⢸⡿⢿⣿⡧⣸⠿⣽⣷⠄⠋⠀⢼⣄⠾⣀⣤⡏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⣻⡇⢠⠀⠙⠀⠆⠀⢀⡄⢨⣿⠃⠀⠀⠈⡀⠀⢀⣰⣿⣧⣾⠋⠀⢻⣴⣿⡏⠀⣤⠆⣸⡟⠒⣿⠿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠙⣹⣿⠀⠀⠀⠀⠉⠀⠀⢸⡧⢾⣿⡀⠀⠀⠘⢿⣠⡾⠋⢸⣿⠁⢀⣤⣼⣿⣿⠇⠁⢰⣼⠃⠀⠀⠻⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠀⠀⣿⠙⣶⠀⢠⡆⠀⠀⠀⣾⡇⢸⣿⠁⡖⠀⠀⢸⡏⠀⢀⣼⣿⣴⠊⢹⣿⡏⢁⣠⡄⢸⠇⣀⣠⣴⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣼⡇⠿⣿⡏⠀⠘⢷⡀⠀⠀⢿⡇⣾⣏⠀⠃⠀⠀⠸⣧⣰⣾⣛⡿⠁⠀⠀⣿⡷⠋⠠⣿⣿⠗⠉⠁⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⢸⡄⣼⠁⠀⠀⠀⠀⠀⡀⢾⡁⢿⡇⠀⢀⠀⣀⠴⠋⣿⣿⢻⣇⠀⠀⣾⠏⠀⠀⠀⣿⠀⠀⢀⣤⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠹⣿⣷⠀⠀⠀⠀⠈⠱⣾⡀⢾⣇⡴⠻⣶⠉⠀⠀⢹⣿⣿⡏⠀⣴⡿⠇⠀⠂⣤⠛⠀⣰⡞⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⣤⠘⢿⡀⠀⠀⠀⠀⠀⢻⡅⣾⡟⠀⠀⣿⠀⠀⢀⣼⣿⣿⡇⢲⡿⠃⠀⠀⠀⠀⢀⣼⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠠⠈⠀⢸⡃⠀⠐⠀⠀⠀⣾⡏⢿⡁⠀⠀⢸⡄⠀⣸⣿⣧⣿⡇⣿⠃⠀⠀⠀⡀⠂⠘⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢸⣧⢠⡄⠀⠠⣧⢿⠁⣾⡇⠀⠐⠏⠀⡀⣿⣿⣿⣿⣏⠃⡀⠀⢰⡏⠀⠀⢰⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢰⠀⠀⠻⡆⠀⠃⣼⠀⣿⡇⠀⠀⠀⣠⠿⣿⡿⣙⣿⠟⠀⠰⠀⠀⠁⠀⢀⠸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⢠⣷⣼⡄⠀⠀⠀⠀⣏⣹⡧⣼⡇⠀⠀⢰⠉⠀⢿⣇⣿⡏⠀⠀⠀⠀⠀⠀⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠘⢿⣿⠆⠀⠀⠀⢹⡅⠓⣾⡇⠀⠀⠘⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⡀⢱⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠘⣿⡄⠀⠀⢠⣾⠁⣶⣿⡇⣤⡀⠀⢀⡇⢸⣿⠟⠀⠀⠀⠀⣠⢡⣾⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠄⠀⢸⡇⠀⠀⠀⠸⢇⣸⣿⣷⠈⢡⡄⠘⠃⣿⡿⠀⠀⠀⢀⡄⢉⣾⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⡇⠀⠀⠀⠀⠘⣿⣿⣇⠀⠀⢿⡆⣇⣿⠇⠀⠀⣴⠋⠀⢿⣿⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⢹⣿⣿⠀⠀⢀⡿⠁⢩⠀⠀⠀⠀⠀⢀⡸⢻⡏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡇⠀⠀⠀⠀⢸⣿⣿⠀⠀⠈⠀⢠⡾⠀⠀⠀⠀⣰⣿⡇⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⢸⣧⠀⠀⠀⣠⠿⣿⣿⠀⠀⠀⠠⡿⣷⣶⡶⣦⣀⣿⡿⠃⢸⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠈⣿⠀⠀⢰⠏⠀⢹⣿⠓⠄⢠⠂⣠⡟⠁⢀⣾⣿⢾⡇⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣧⠀⢹⠇⠰⡇⠀⣤⠚⠻⣿⣾⡏⢰⣿⣇⣠⠟⡿⠁⠘⠁⠀⣸⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠈⠛⠐⠾⣦⣀⣀⣀⣀⣭⣶⣾⣿⣿⣿⣿⠟⢡⣼⣷⣤⣀⡴⢶⣿⢻⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⣀⡀⠀⠀⠈⠉⠛⠛⠛⠛⠛⠉⣿⡿⠿⠿⣿⣿⣉⢿⣋⣉⣤⣧⣾⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣶⠿⠒⢶⣤⣤⣴⣶⣾⣿⠷⢢⣄⠀⠉⠛⠃⠉⠉⣽⣿⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⢻⣿⢸⣿⠀⠀⠀⢠⣽⣟⠁⠀⠘⠢⣀⠙⠷⣦⣤⠟⠀⠰⣿⣿⣻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣄⠘⣿⡀⢿⡆⠀⠀⢘⡿⠃⠀⠀⠀⠀⢸⣷⣾⡿⠉⠀⠀⠀⣹⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠹⣿⣟⠁⠈⡇⠀⠀⠟⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⢨⡿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⠀⠀⠻⣿⡅⠀⣧⠀⠀⠀⣰⡇⠀⠀⠀⠻⣾⣟⣿⠁⠀⠀⠀⢰⣿⡇⢸⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠴⠙⡇⠀⡏⠀⠀⠀⢻⡇⠀⠀⠀⠀⢿⡿⣿⡇⠀⠀⠀⠀⣿⡇⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⠀⠁⠀⠀⠀⣿⡇⠀⠀⠀⢀⣸⡿⣿⠀⠀⠀⠀⠀⣿⡇⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠘⢿⡇⣽⠀⠀⠀⠀⢠⣿⠁⢸⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⣼⣄⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⢸⣧⣿⠀⠀⠀⠀⢸⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢣⣿⠀⠀⠀⠀⣾⠇⠀⠀⠀⠀⢸⡟⣿⠀⠀⠀⠀⢸⣿⡇⠀⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣼⣿⠀⡀⠀⠀⢡⡄⠀⠀⠀⠀⢸⣯⣿⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⢴⡇⠀⠀⢸⡇⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⢸⣿⡇⣠⡦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⣨⡷⠀⠀⠀⠀⠸⠟⢿⣀⠀⣀⣀⣠⡉⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢁⠀⠀⠀⠀⢀⠀⠀⠀⠀⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠒⠚⠋



⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⡿⠻⠿⠿⠿⠛⠿⡿⠏⠘⠛⠻⣿⠿⠿⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣛⣛⣛⣋⣻⣿⣟⣻⣿⣿⣛⣛⣛⣛⣛⣻⣿⣛⡛⣻⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⢢⣿⠀⢀⡾⡆⠀⠀⠀⠀⠀⣾⢁⠾⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⢑⡄⢹⣶⡏⡏⢳⡄⠀⣀⠀⣼⠃⠝⢠⡟⠀⢀⣀⣤⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡀⠀⢸⣇⠂⠈⣼⡏⠟⠘⠁⡇⣼⢹⣇⡗⢸⡀⠼⣇⣴⠋⠼⢰⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣙⣦⣸⡏⢂⡐⢸⠀⠠⠊⢹⠟⠍⢉⣿⢣⠆⢸⡰⠻⠟⡙⢂⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢎⡈⠙⡇⢸⢇⡼⠀⢀⢀⡜⠀⣸⠊⡿⠀⠀⢸⠃⠠⠰⢢⡞⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠀⠷⡀⢸⠀⠘⡇⠀⠋⡄⠐⠎⠠⢶⠇⠀⠀⡇⠀⢀⡴⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⢱⠘⡆⢀⠇⠀⠀⣇⢼⠀⠊⡼⢀⡄⢸⠀⢀⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⢦⠀⡰⢸⠀⠀⠀⡏⠀⠂⢀⠇⠁⡀⡎⠀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠎⠱⣱⣼⠀⡀⠘⡇⠀⠀⢸⠀⠀⠀⡇⠀⢸⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠸⡇⢐⠁⢸⡀⢀⠀⢸⠀⠀⠀⠑⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⠀⠀⢰⠈⠀⢸⢀⠛⡆⠸⠀⠀⠀⡄⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢦⠀⠘⡄⠀⢸⠃⠀⠀⠇⠀⠀⢠⠇⠀⢿⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠃⠀⣇⠀⢸⠀⠀⠀⢸⠀⠀⢸⠀⠘⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠘⡂⠀⠀⢸⠀⢸⠀⠀⠀⢸⠀⠀⢸⠀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣇⠀⠀⠘⣇⠘⡄⠀⠀⠸⡄⠀⢸⠀⠀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠘⡄⠀⠀⢹⡀⡇⠀⠀⠀⡇⠀⠈⡆⠀⢀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢡⠀⠀⠀⢿⡅⠀⠀⠀⡇⠀⡰⢃⠀⡌⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠘⡄⠀⠀⠘⡇⠀⠀⠀⢷⢰⠃⢸⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠄⠀⠀⢣⠀⠀⠀⢃⠀⠀⠀⢸⠈⠀⢸⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣆⠀⠀⠘⡆⠀⠀⠘⡄⠀⠀⢸⠀⠀⢸⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢹⢰⡄⠀⢻⠀⠀⠀⢹⠀⠀⢸⡀⠀⠘⡄⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠘⣾⠈⠢⡘⡇⠀⠀⠀⣇⠀⢸⡇⠀⠀⡇⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠸⡀⠀⠀⢹⡀⠀⠀⠸⡀⠀⡇⠀⠀⢱⠀⢹⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢇⠀⠀⠀⢣⠀⠀⠀⢣⠀⡇⠀⠀⢸⠀⠘⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠘⡄⠀⠀⠘⡆⠀⠀⠘⡄⡇⠀⠀⠀⡇⠀⢹⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⢰⣧⠁⠀⠀⢱⠀⠀⠀⢳⡇⠀⠀⠀⣧⡴⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⠶⠤⠎⢿⣀⣀⣀⣼⣄⠀⠀⣸⣇⡀⣀⣠⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠉⠛⠛⠉⠈⠉⠉⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡇⢛⡀⠀⠀⠀⠀⠀⢀⠄⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠄⠜⠃⠀⠀⠀⠀⡀⢉⡀⢀⡀
⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⢡⠀⠀⠀⠀⠀⠀⠂⡀⠀⠃⠀⠀⢀⡀⠀⠐⠁⢸⡄⠀⡇⠀⠀⠀⠀⠀⡴⠀⠀⠀⠀⠀⣀⠀⢀
⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠉⡆⠈⠡⠀⠀⠀⠀⠀⡔⠉⡀⠂⣤⠸⠀⠛⠀⠇⣀⠀⠀⠀⡇⠀⠀⠀⠴⠉⠃⠀⣀⠄⠀⢠⠠⠔⠋
⣤⠀⠀⢀⡄⠀⠀⠀⠀⠀⠘⠀⠰⡄⠀⠃⠀⠀⠀⡀⠀⠀⢀⠄⢻⡔⠁⠀⡀⡴⠁⠇⠂⡰⠀⠄⠀⠰⠆⢤⠆⠁⠂⠀⣀⠀⠀⠐
⡏⠻⠀⠸⠉⠀⠀⠀⠀⠀⢰⠀⠀⡁⠀⠘⠆⠀⠀⡇⠀⠀⠀⠀⠟⠐⢀⠈⣧⠁⠀⠀⠐⠁⠞⠀⠀⠖⠀⠀⠠⠀⠁⠀⠄⡠
⢰⠀⠀⠸⠀⠀⠀⠀⠀⠀⠈⠁⠐⠀⠆⠀⢰⠀⠀⠃⢀⠀⠂⡀⠀⠀⠂⠀⡇⠀⠀⠀⢸⡡⠒⠁⠢⠀⡰⠀⡀⠀⢀⡀⠀⠁
⠀⢣⠀⣦⠀⠀⠐⠈⠃⠀⠀⠀⠀⠀⠀⠀⠐⠀⠠⠀⠀⠀⠀⠉⠀⠀⠀⢰⠃⠀⠀⢄⠋⠀⠀⢰⡄⠈⠀⠀⠈⠶⠉
⠀⠀⠐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠂⠘⠀⠀⠀⡹⠂⣅⠀⡠
⠀⠀⠀⠸⡀⠀⠀⡄⠀⠀⠀⠀⢠⢀⠀⠀⡈⠀⠠⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠠⠀⡀⠀⠀⠀⢈⠛
⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠁⠀⢀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⢠⡀⡆⢠⠁⠀⠀⠄⠎
⠀⠀⠀⠀⠀⢹⡀⠀⠈⠀⠀⢀⢰⠈⠆⠠⠁⠁⠸⠀⠀⠸⠀⠀⠀⠀⠞⠀⠀⠌⢰⡁⠂⠀⠀⠀⠜
⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⣦⠀⠈⡆⠀⠀⠀⠈⠃⠀⠠⠀⢀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣠⠾
⠀⠀⠀⠀⠀⠀⠀⢡⠀⠄⠀⠀⠸⡀⠀⡆⠀⢀⠘⠀⢰⠂⠀⢠⠘⠑⠀⠀⢁⠀⢀⠀⢠⠞⠁⡀
⠀⠀⠀⠀⠀⠀⠀⠈⣦⠐⠀⠀⠀⢱⠀⠀⢠⡄⠀⢀⢣⠀⠀⠋⠀⢰⣤⠀⠀⠀⢨⠀⢁⠀⢠⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠈⣶⠀⡄⠀⠀⢸⡄⠀⠰⠃⠀⢸⠆⠀⠀⠀⠀⠀⠀⠀⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠐⠀⡀⠀⢿⠀⠋⠀⠀⢸⠀⠀⠀⠀⠀⠘⠀⠀⠐⠀⡇⠀⠀⠸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⢠⡈⠆⠀⠀⠀⢸⠀⠰⠀⠀⠀⣸⠆⠀⠀⢰⡇⠠⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠃⠀⠁⢜⠀⠀⠐⢻⠀⡀⠀⠀⢀⡇⠀⠀⠀⠀⠃⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢠⠀⠀⠸⣇⠀⠀⠈⣸⠀⡀⠀⢸⡇⠀⠀⠀⢸⠀⠀⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠹⣄⠀⣦⡏⠀⠁⠀⣈⠀⠀⠀⡀⢾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⢡⠀⣿⠀⠀⠀⠀⢻⠀⠀⠀⠁⢰⠀⠀⣥
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠁⠄⣿⠀⠀⠀⠁⠈⠀⡀⠀⢀⣠⠤⢊⢹⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠐⠀⢠⠚⠛⠂⢀⡠⣠⣔⡠⠠⡦⠉⠁⠀⠀⠀⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⠘⠄⠐⠀⢬⠀⣼⢣⣄⣈⣀⣀⡄⠠⠆⢺
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠦⠀⠠⠀⠠⠤⢰⢞⡗⢿⡄⠉⠍⠉⠀⠁⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢰⠀⠀⠀⠀⢱⠂⡞⠀⠈⠷⠀⢀⠄⣴⠀⠁⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⠀⠀⡇⠀⠀⠀⣀⡐⠀⠀⠀⠀⠐⠇⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⢡⠀⠀⠀⠀⢁⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠌⢃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠄⢸⠀⠀⢄⠀⠘⡆⠆⠀⡷⠀⠀⠆⠀⠀⠀⠐⠀⢸⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢻⠀⡐⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⠀⠀⢸⠀⠁⠀⠀⠀⢸⡆⢀⠀⠀⠀⠀⠀⡅⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢸⡇⠂⠀⠀⠀⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⡀⠸⠀⠀⠀⢀⡆⣼⠤⠀⠀⠀⢰⡇⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⠀⣀⠤⢧⡀⠀⠀⢀⡸⢇⠹⣄⠀⠀⠀⡸⠃⠤⠤⠤⠒⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⡀
⠀⠀⠀⠀⠀⠀⠀⡀⠞⠹⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠐⡎⣠⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⢀⠐⢆⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢀⡄
⠀⠀⠀⠀⠀⠀⠀⠁⠈⣅⠀⠀⠀⠀⠀⠀⠀⣖⠀⡠⡇⢱⠀⠀⠀⠀⡉⠙⠦⠀⢤⠀⠀⠀⠘⠃⠀⣁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢠
⠀⠀⠀⠀⠀⠀⠀⠈⡠⠈⠀⠀⠀⠀⠀⠀⠐⢻⡀⠀⠙⡁⢷⠀⠀⠀⢼⣧⠀⡀⠐⠆⠀⠠⡆⠀⡖⣹⠀⠀⠀⠀⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⡟
⠀⠀⠀⠀⠀⠀⠑⠈⣄⠀⠀⠀⠀⠀⠀⠀⠀⢈⡅⠁⠢⢽⠀⢧⡀⠀⠠⣿⢳⣸⡄⠀⠂⠀⠀⠀⣧⡗⠀⠀⠀⠀⠀⣈⢢⣈⠀⠀⠀⠀⠐⠀⢸⡄
⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢿⠀⠀⢧⡀⢹⡄⠀⠙⢮⢻⡇⠀⠆⠁⠀⠀⢸⠁⠀⠀⠀⠀⠀⠉⠁⠈⣷⠀⠀⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠈⣷⠀⠹⡄⠀⠀⣭⣷⠀⠀⢰⡀⠆⠿⠀⠀⠀⠀⠀⠀⠀⠐⠀⣷⡄⠀⠀⠀⠀⠀⢺⡇
⠀⠀⠀⠀⠀⠀⠀⠐⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠈⣧⠀⢳⡀⠀⡈⠙⢆⠀⢨⡀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⡇⠀⠀⠀⠀⠀⠈⡇
⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠇⠀⠀⢻⡀⠘⣷⠀⠀⠠⠫⣄⠘⢸⣧⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣷
⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⠀⠀⢠⣥⠀⢘⣆⠀⠀⠀⢘⠆⠜⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⢾⡁
⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⢸⡇⠀⠀⢼⡄⠈⢻⡄⠀⠀⢸⠃⡦⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢈⡇
⠀⠀⠀⠀⠀⠀⠀⠀⢽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣥⡤⣀⡘⠗⠀⠨⣷⠀⠀⣀⣶⣘⣩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡜⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠂⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠙⡀⠀⠉⢹⡍⠙⠛⠏⠙⠉⠉⢫⠻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⣧
⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠠⣤⠀⠀⠈⣷⠀⠀⠘⡄⠀⠀⠸⣆⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⢸⣾⡆⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⢸⡀⠀⢻⠀⠀⠀⢹⡄⠀⠀⢸⠄⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢰⠃⠁
⠀⠀⠀⠀⠀⠀⠀⠸⢻⠀⠀⠀⠀⠀⠀⢀⠀⠂⠀⠀⠸⠃⠀⠈⡇⠀⠀⠈⣷⠀⠀⠈⣆⠀⠀⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⢲⣷⠀⠀⣧⠀⠀⠀⢸⡄⠀⠀⠈⣧⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻
⠀⠀⠀⠀⠀⠀⠀⠘⢻⠀⠀⠀⠀⠀⠀⠰⠃⠀⠀⢠⡴⢻⡀⠀⣯⠀⠀⠀⠀⢷⠀⠀⠈⠻⣇⠀⠀⠐⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠏
⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠸⠇⡀⢹⠀⠀⠀⠀⠉⠀⠀⠀⠀⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠈⠂
⠀⠀⠀⠀⠀⠀⠀⢀⣸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠘⠂

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡆⠀⠀⢀⠀⣀⢸⡳⠆⠀⠀⣴⡄⠀⠀⠀⣾⡄
⠀⠀⠀⠀⠀⠀⠀⠀⢞⠹⣁⠀⣴⡿⡠⠞⢩⢶⢦⡀⠠⢿⠶⠀⠀⢰⣼⡆⠀⠀⣠
⠀⠀⠀⠀⠀⠀⠀⠀⠿⠃⡛⣔⣳⣴⣦⡾⠛⠸⠏⢆⠀⣼⣄⣤⠀⡀⠀⣴⣦⡶⡥⠀⠀⣠⣶⡶
⠀⠀⠀⠀⠀⠀⣀⣀⢰⡄⠻⠏⢙⡙⠀⢀⡄⢴⡀⡱⣾⡍⠙⠛⢃⠷⣮⣽⠳⠿⡇⢀⡚⡏⣉⠁
⠀⠀⠀⠀⠀⠀⠙⠻⡄⡖⠾⠶⠉⠀⠋⢈⡁⠤⠀⢠⡄⣭⠁⠸⢦⠄⣙⣱⡆⠀⣴⠟⢡⡏⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠚⠙⠀⢡⠀⣤⠀⠀⠾⣑⠘⠀⠀⠊⠀⠀⠐⠀⢠⡼⠷⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠀⢴⠀⠀⢀⣁⠀⢰⠀⣤⠈⣄⠀⣸⢃⠶⠀⠀⠈⠤⢶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠐⠂⠩⠀⠐⠀⠀⠢⠀⠀⠀⠀⢀⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⢀⡀⠀⣦⡀⠀⠀⢀⡆⠀⠀⠀⠆⠀⢠⡄⢊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⠅⠈⠃⠀⢉⡅⠀⠀⠰⢴⠀⠀⠀⠀⠀⣘⡇⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀⠈⠀⢀⡀⠀⠈⡇⣷⠀⢸⡀⠈⠀⢾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠞⠀⠀⠀⢘⡃⠀⢷⡄⢡⠀⣈⡅⡄⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⡀⠀⣀⠀⠀⠁⠀⠴⠆⢀⡀⠀⢰⠳⠰⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠀⠀⣃⡚⠓⠛⠾⣤⡀⠀⣀⣤⠆⠀⠓⠂⠀⠀⢹⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⢄⢺⡄⠀⠠⠿⠶⣾⡏⣾⣿⣿⠋⠉⠀⠀⢀⢀⣶⠐⣦⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢇⡆⠨⠗⠚⠙⠀⠀⢘⠯⡉⠁⠐⠂⣲⠒⠲⣇⠀⡹
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠸⠇⢰⡆⠀⠀⠀⠀⢸⡇⠘⡀⡀⠀⠪⣅⣀⣉⡼⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠃⠀⠀⠀⣱⠀⢀⡀⠀⠈⠁⠀⠘⣝⢆⠀⠘⡉⠉⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⠁⠀⠘⠃⠀⠀⠀⠀⠀⠸⠀⠁⣰⠐⠀⢠⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠈⢁⠀⠀⠀⠀⠀⣸⡀⠀⠘⠂⠇⠘⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣁⠀⠀⡷⠀⠀⠸⠆⠀⣦⠀⠀⠤⣦⠀⠀⠀⠈⠈⠙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣄⡀⠀⠀⠰⠳⠛⠀⠰⠴⠀⠋⠀⠀⠀⢠⠆⢀⡴⠀⢠⡴⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠶⠞⠉⠠⠤⠴⠀⠤⠽⠧⠀⠴⠋⠀⠁⠀⠚⠋

⠀⠀⠀⠀⠀⠀⢠⠶
⠀⠀⠀⠀⠀⠀⠘⢦⣤⣠⠆⡀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⡎⠀⠀⠀⠀⠉⠛⠻⠦⠀⠀⠀⠉⠙⠓⣤⣄⡀
⠀⠀⠀⠀⠻⠶⠦⣤⣀⣀⡀⠀⢀⠀⠀⠀⠲⠠⣄⡈⠉⢉⣗⠢⣄⠀⠀⢀⢀
⠀⠀⠀⢰⡄⠀⠀⠀⠘⠘⠛⠉⠉⠀⠛⠒⠀⠀⠀⠀⠀⠘⠦⣷⠀⠉⠒⢌⡋⠼⠶⠖⡀⢀⠀⣀⣠⡄⣀⣀
⠀⠀⠀⠀⠉⠓⠲⠦⠤⢤⣄⣀⣠⡆⣤⡀⠀⠀⠀⠀⠀⢠⠄⣈⡙⠒⠀⠀⠓⠸⠦⣇⣤⡘⢷⢀⣹⠂⢸⣿⡌⢷⣆⣤⡀
⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠐⠀⠀⠀⠀⠙⠉⢀⡤⣀⠀⠠⢆⣄⠲⣥⣞⣼⣶⢧⣼⡆⡳⣿⠺⣭⢿⣾⢦⡀
⠀⠀⠀⠀⠀⢾⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠦⢽⣿⣅⡞⢷⣵⡶⠁⣼⣯⠰⣿⣿⣽⣟⣉⠁
⠀⠀⠀⠀⠀⠈⠙⠲⠶⣖⣦⣀⠀⠀⠀⠀⣶⢠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⣍⣽⣿⠟⠿⠏⢧⣾⠋⠉⠉⠁⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠲⠦⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣆⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠐⠶⠶⠤⠄⠎⢠⣦⠀⠀⠲⠦⠀⠀⠀⠀⠈⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡃⠻⠗⠲⢐⣦⠀⢀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠶⣟⣄⢳⣞⣳⣰⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠧⢭⣼⡆

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠐⢦⡀⠀⠀⠀⡔⠋⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠤⣤⡀⠀⢀⣤⡀⠀⢠⠉⠙⢆⠀⡘⠀⠀⠀⠙⡆⠀⢰⠁⠐⠀⡈⣧⠀⠀⠀⠀⠀⠀⠀⣀⡔⢊⣡⠀⠸⣦⡴⠊⠱
⠀⠀⠀⠀⢀⣤⣄⡀⠀⡆⠀⠀⠛⢦⡌⠀⠙⢴⣅⠀⠂⠈⢶⠏⠰⠆⠀⣀⢼⣄⠛⠈⠀⠀⠀⠈⢇⠀⠀⠀⠀⣠⠞⠉⢀⠀⣠⡤⢀⡛⠀⠀⢰
⠀⠀⠀⢠⡏⠀⠈⠱⣦⠀⠴⠛⠀⠈⢣⣀⠤⣤⠛⢀⠐⠓⢴⡀⢆⠀⠔⠠⠀⢹⠇⢀⠀⠀⠀⠰⠈⢁⠀⢀⡜⢁⣀⣠⠋⠀⠁⠀⢸⠇⡴⠂⢾
⠀⠀⠀⢰⡗⠀⠀⠇⣼⠛⠀⠀⠀⠐⠈⣿⠀⣇⠀⢀⡀⠀⠘⠁⠀⢻⠀⠀⠐⣀⠓⠀⠀⠄⠀⠘⠓⣿⠀⣶⠜⠁⠀⢨⠀⡀⠶⠄⣸⠏⡀⠤⡜
⠀⠀⠀⠀⠃⠀⠰⠧⣿⠀⠀⢀⡀⡀⠀⢸⠄⠇⠀⠀⠀⠀⢠⣆⠀⠸⢀⡀⠀⠀⢡⠀⠀⠜⠙⢂⠀⠞⢰⠁⠀⠀⠀⡸⠏⠀⠀⠀⡟⠙⡇⠰⠇
⠀⠀⠀⠀⢸⠀⠀⡂⠈⢇⠀⠁⠀⠉⡀⣻⠀⢠⣆⠀⠀⠌⠙⢣⠉⠀⠀⠀⠀⠀⣤⠀⠈⠀⠀⠀⢾⠃⢸⠁⠀⠀⠀⠁⠀⠀⢀⡼⠠⠚⣱⠏
⠀⠀⠀⠀⠀⢿⡈⠁⠀⠈⢷⡄⠀⠀⠉⣛⢲⠀⢻⠉⠳⠄⠀⠈⢢⡀⠀⠀⠀⠀⡉⢿⠀⠀⠀⠀⠆⠀⢸⣤⡄⠀⠀⠀⣠⠎⠁⣤⠔⠊⠁
⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠈⢱⠈⠁⠀⢻⠀⢓⠀⢣⡀⠀⠀⠀⠀⠱⡀⠀⠀⠀⢣⠘⣆⠀⠀⢠⢤⠀⡇⠀⠀⠀⠀⢠⡽⠒⠉⡸
⠀⠀⠀⠀⠀⠀⠀⠈⠓⣄⠀⠀⡆⠀⠀⠀⡇⠘⢇⠀⠳⡀⠀⠀⠀⠀⢃⠀⠀⠀⣸⠀⢹⠀⠀⣀⣰⡷⠀⠀⠀⠀⠐⡟⠁⠀⠐⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣄⠀⢱⡄⠀⠀⢱⠀⠘⡀⠀⢇⡀⠀⠀⢀⢾⠀⠀⠀⠁⡆⠈⠀⠀⠈⢨⠧⡄⠀⠀⠂⢰⠁⠀⢀⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡀⠸⡆⠂⠀⠘⡀⢠⢇⠀⢸⠀⠀⠀⢸⠘⠀⠀⠀⠠⢧⠀⡄⠀⠀⡜⠀⠇⠀⠀⢘⡇⠀⢠⡾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢃⠀⣤⠀⠀⠀⠇⠀⢸⡄⠀⡄⠀⠀⠈⠉⣧⠀⠀⠀⠸⣇⠄⠀⢠⠛⠈⠀⠀⠀⡌⠀⡜⢀⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠈⡀⠀⠀⢸⡄⠀⠻⡀⠟⠀⠀⠀⠀⣯⠀⠀⠀⠀⣿⠀⠀⡸⠀⠀⠀⠀⢴⠁⠀⢀⡋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠇⠀⠀⠈⢣⠀⠀⢇⠰⡄⡆⠀⠀⢠⡤⠆⠀⠀⠿⡀⠰⠇⠀⠀⠀⠀⡌⠀⠀⡎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡄⢰⡖⢂⠀⢸⡀⠄⠸⠀⠏⠀⠀⠀⢀⡇⠀⠀⠀⢀⡇⡼⠀⠀⠀⠈⣾⠁⢀⡼
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣁⠈⡇⠈⠀⠈⡄⠀⠀⠿⣠⠀⠀⢠⠘⡇⠀⠀⠀⠀⣿⡀⠀⠀⠀⢠⠋⠀⠘⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⡀⢷⠀⠀⠀⡗⠀⠄⠀⣿⠀⠀⢀⠀⣇⣀⡀⠀⠀⢘⠀⠀⠀⢀⡜⠀⠈⠗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡈⠉⠳⢆⣀⠀⢰⠆⠒⠀⣿⠀⠀⠀⠀⢉⠀⡰⠀⠀⢸⠀⢠⠀⣈⠃⠀⠸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠰⠂⣤⠀⠉⠙⠒⢠⠀⣸⠀⠀⠀⠀⢸⠉⠀⠀⠀⢸⠀⠀⢈⡛⠀⢀⣧⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠄⢰⡀⠉⠑⢶⣀⣄⡉⠑⠒⢤⣤⡚⣀⠀⠀⠀⠘⠂⠠⠌⠁⠂⠈⢀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢀⠈⠁⠀⠀⠈⠀⠀⠈⠁⠒⠦⠤⠌⣉⡐⠒⠛⠃⠤⠤⠤⠤⠴⣞⢉⠼⠻⣆⡠⠤⠤⣄⠠⠄⠀⠐⠢⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠤⠤⢄⡘⠛⠁⠀⠀⠒⠀⠂⠀⠐⠒⣻⣧⣼⣧⡈⠛⠒⠀⠄⠀⠀⠀⠁⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⣀⡉⠀⠁⠀⠀⠀⢀⡀⠀⠤⠄⠉⣻⠋⠁⠠⠤⢀⣀⣀⠀⠀⠈⠅⢰⠆⠹⢏⠦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⠁⠀⢙⠃⠀⠀⠸⠧⠀⠀⠀⠀⡿⡄⠀⠀⠀⢸⣯⠁⠀⠹⢫⠀⠈⡄⢀⠋⣄⢡
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⠀⠀⠀⣆⠀⠆⠀⠀⢀⡇⡇⠀⠀⠀⢸⡇⠀⢠⣄⠈⣦⠀⠁⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡄⢀⡈⠠⠀⠀⣏⠁⠀⠀⠰⠈⣧⡇⠀⠀⠀⢸⠀⠀⡌⠙⡀⠈⡄⠀⠀⠀⠚
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⢸⡇⠄⠀⠀⣷⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⢸⠀⢀⠃⠰⢃⠀⢱
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⡀⠀⠀⠀⠀⣷⠀⠀⠀⠀⢸⡏⠁⠀⠀⠀⢸⠀⣸⠀⠰⣈⣄⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⡇⠀⠀⠀⠀⣿⠀⠀⠀⠀⠸⡇⢀⠀⠀⠀⢸⣠⣿⠀⠀⠀⠹⡀⠸⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢠⠁⠀⠀⠀⠀⠉⠀⠀⠀⠀⣰⠀⢸⠀⠀⠀⠠⡿⢹⠀⠀⠀⠀⢃⠀⢰
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⢸⡇⠀⠀⠀⠇⠸⣧⠀⠀⠀⠸⡀⠈⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⢸⡇⠀⠀⠀⡄⠀⣿⠀⠀⠀⠀⢇⠀⢇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⢠⡇⠀⠀⠀⡇⠀⡏⢠⠀⠀⠀⠸⡇⢸⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⡇⠀⠀⠀⡇⠀⡇⠈⡄⠀⠀⠀⢸⠀⣶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡿⠀⠀⠀⠀⠀⠀⡦⠀⠀⢰⠀⠀⠀⢸⠇⠀⠀⠀⡇⠀⠀⠀⢃⠀⠀⠀⠀⡆⠈⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⢀⠁⠀⠀⠀⠀⠀⠀⠇⠀⢀⡌⠀⠀⠀⡈⠀⠀⠀⠀⡇⠀⢸⡆⠘⡀⠀⠀⠀⢰⠀⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⢸⠀⠀⠀⠀⠀⠀⢸⠀⠀⢸⠁⠀⠀⠀⡇⠀⠀⠀⠀⡇⠀⢸⡅⠀⢿⠀⠀⠀⠈⣄⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⡀⢌⠀⠀⠀⠀⠀⠀⠸⠀⠀⡌⠀⠀⠀⢰⠀⠀⠀⠀⠀⡟⠀⠘⣧⣤⢴⡆⠀⠀⠀⢹⡴⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠚⠓⠤⢀⣀⣀⣀⣇⡀⠀⡇⠀⠀⠀⠸⠀⠀⠀⠀⠀⡇⠀⠀⠃⠀⠀⢡⠀⠀⢀⡠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠈⠓⠤⠤⠤⠛⠢⢤⣀⣀⣠⠷⠤⠤⠊⠀⠀⠀⠛⠛⠉
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡿⠙⣿⠛⣿⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⢦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡷⡄⠀⠀⠰⡇⠀⠟⢦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⢈⠱⣦⢄⠀⠀⠸⣇⠈⠳⣄⠀⢳⣘⡳⢸⠷⡄⠀⢠⡄
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡃⢦⣀⠱⣄⡸⡟⢦⠀⠈⢳⡌⣯⡵⢨⠆⢸⣤⡿⡌⢧⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡾⡍⠒⠀⡌⣷⡀⠱⢄⠀⡏⠸⣿⣠⠦⡙⢆⢇⡘⢆⣳⡀
⠀⠀⠀⠀⠀⠀⠘⣗⠶⢤⣑⣼⡦⠐⣌⡹⠷⣶⣆⠁⠁⠀⠹⠛⣧⠀⣄⢧⣁⡄⡏⢇
⠀⠀⠀⠀⠀⠀⠀⠘⢦⣀⠻⡉⠳⣤⢬⣄⠓⠸⣿⣦⡈⡀⠲⠇⡘⡇⠀⠀⢻⠈⡟⢋⣷
⠀⠀⠀⠀⠀⢠⣤⣀⣈⠳⣄⠙⣟⠛⠦⢈⣛⣳⣌⢂⠑⠽⣄⠘⠉⢻⡀⠀⠈⢧⠁⠰⣇
⠀⠀⠀⠀⠀⠀⢦⣌⢻⡙⢾⡿⣏⠓⢦⠬⠦⡈⠛⣙⢷⠲⢌⠀⠺⡄⠰⢕⡀⠀⢢⡀⠸⣄⡀
⠀⠀⠀⠀⠀⠀⠈⢯⡉⢙⡂⠳⣌⣻⣦⠶⠄⣀⢩⡉⠙⢷⡄⠃⣀⠀⠀⠳⣅⠀⠀⠈⡄⠈⡛⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⠻⠦⡀⢢⡉⠿⣤⣘⣦⠈⠃⠈⢹⣦⣌⢀⡀⠑⠈⢧⠀⠀⠑⢄⠁⢿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣆⣁⣈⠃⠱⡈⢻⣍⡊⠉⠀⠠⣌⠷⡀⢁⠂⠀⠀⠱⠦⡀⠈⠣⠀⠻⡶⢦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣷⣄⡁⢩⣀⠀⠉⠑⢦⡀⠀⠀⠈⢦⠈⠢⡀⠀⠂⠰⡄⠀⠈⢠⡟⢸⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠯⠤⠶⢤⣠⠄⠀⠉⠢⣍⠒⠄⠙⢤⠘⣤⠶⣄⠘⢆⢠⠞⢠⢏⡾⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣛⣒⣀⠀⠈⢧⣄⠀⠀⡿⢰⣶⢼⣀⡼⠋⡴⡣⠋⣰⠛⢦⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⣩⣭⣑⡦⢬⡳⣼⢳⣇⡞⣼⢉⡤⡫⠟⣡⠞⠋⠈⢄⠙⢦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣛⣷⢄⣹⣿⣼⣟⣼⣻⠥⣊⡴⠛⠀⡂⢀⠀⠀⠢⡀⠙⣦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣿⣾⣿⣫⡴⠞⠋⠀⠢⡀⠁⠈⠀⠄⠀⠑⢄⠈⠳⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⣭⢎⡼⠁⠈⢦⠀⠀⠀⠸⢦⠀⠀⠈⢢⠀⠀⠱⣄⠈⢣⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣿⢸⠙⢮⡁⢀⠑⣄⠀⠁⠀⠑⢄⠀⠀⠑⠄⠀⠈⠳⡀⠙⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢿⣄⠀⠈⠢⡀⠀⠀⠀⠳⡀⠀⠈⢂⠀⠀⠙⣦⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⠈⠢⡀⠀⠀⠘⢄⠀⠠⢣⡀⠀⡾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⠈⢂⡀⠀⠀⠣⡀⠀⢸⠞⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⢑⠀⠈⠀⠘⣶⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠤⠤⠤⠗⠶⠖⠋