Fire flower Emojis & Symbols

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠑⢄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⠀⢸⠀⠈⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⡌⠈⠢⡀⠀⠀⠀⡜⠀⢀⠃⠀⠖⡄⠀⠀⢀⠤⡴⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠳⣄⠀⠀⠀⢃⠀⠀⠈⠑⢄⠜⠀⠀⣸⡠⠊⠀⢰⢀⠞⠁⠰⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠉⠐⠂⠬⢆⡀⠀⠀⡜⠀⠀⠀⡏⠀⠀⠀⢠⠃⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⡀⠈⠢⡀⠀⠀⠀⠀⠈⠢⠀⣇⠀⠀⠀⠇⠀⠀⢀⠎⠀⠀⢠⠀⣀⣀⠀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠉⠉⠉⠒⠤⣀⠀⠀⡀⣀⣬⣦⣴⣦⣴⣤⣠⠊⠀⠀⠀⠼⠋⠁⢀⠆⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠖⣈⠉⠈⠓⢄⡀⠀⠀⠀⠈⠳⣤⣿⣿⣿⡟⢹⣿⣿⣿⣿⣷⣄⠀⠔⠀⠀⢠⠃⢀⣀⠤⠤⠤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⡀⠀⠈⠑⠒⠒⢢⣾⣿⣿⣿⠋⠀⣼⣿⡌⢻⣿⣿⣿⣷⠤⠤⠖⠛⠉⠁⠀⡠⠔⠈⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠄⠐⠄⠀⠀⠀⠀⣾⣿⣿⣿⣿⡀⠀⠻⠿⠃⢈⣿⣿⣿⣿⡆⠀⠀⠀⠀⡠⠮⠤⠄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠥⠤⣀⡀⠀⡠⠒⠒⠛⣿⣿⣿⡏⣿⣷⡀⠀⠀⠀⣼⣿⡟⣿⣿⣧⠤⠄⠐⠮⡀⠀⣀⠔⠚⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡹⠊⠀⠀⠀⠀⢹⣿⣿⠀⠙⠛⠁⠀⠀⠀⠙⠛⠁⢸⣿⡗⠠⣀⠀⠀⠀⠙⠤⠀⣀
⠀⠀⠀⠀⠀⠀⠀⠈⠓⢖⠂⠒⠂⠁⠀⠀⡠⠔⠊⠉⠈⡻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⡀⠀⠀⠑⢦⠀⠀⠐⠂⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⠀⠀⠒⡹⠁⠀⠀⡠⠋⠀⠘⠻⢷⣦⣄⣀⣀⣀⣤⣶⠟⠫⠀⠈⢂⠀⠀⠀⠣⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠊⠀⢀⡀⢴⠁⠀⠈⢀⡔⠁⠈⢹⠉⠛⠉⢩⠀⠄⠀⠆⠀⠀⠱⣄⠀⠀⠑⢄⡀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠘⠀⠀⠀⡘⠀⠀⠀⢸⠀⠀⠀⢸⠀⠀⠀⠸⣄⠀⠀⡀⠑⠂⠤⠤⠐⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢠⡇⠀⠀⡠⡏⠀⠀⠀⡌⠱⣄⠀⠀⠐⡌⠒⠰⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⡠⠃⡆⢀⠜⠀⠇⠀⠀⣰⠀⠀⡈⠑⢤⡀⠘⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠅⠔⠊⠀⠀⢰⡎⠀⠀⡀⠀⡰⠉⠢⣀⡇⠀⠀⠘⢆⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢇⠀⠁⠀⠀⠀⠁⠀⠀⠀⠸⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⣆

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡇
⠀⠀⠀⠀⠀⠀⠀⢠⠋⠘⠀⠀⠀⠀⢀⡀⠀⣀⠀⠀⠀⠀⠠⠂
⠀⠀⠀⠀⠀⠀⠀⣯⠀⠀⢢⠀⠀⠀⠁⠀⢰⠀⢳⠀⡄⠠⣀⡀⠀⠀⠀⡄
⠀⠀⠀⠀⠀⠀⠀⠛⢧⠀⠀⠙⠢⠤⠴⢢⣾⣗⣸⡇⠰⣠⡈⡇⠀⣀⡠⠂⠀⢀⡄⠀⡄
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⣿⣿⣿⣧⠀⠹⣧⣿⠟⠁⠀⢰⠁⠉⠃
⠀⠀⠀⠀⠀⠀⣧⠀⠈⢿⣄⣄⡆⢀⣀⡴⠟⠋⠉⣿⠀⣄⢸⣿⣇⠀⠀⠙⠀⠠⠀⢀
⠀⠀⠀⠀⡄⠀⠘⣦⡈⠉⠛⠿⣷⣿⡟⠀⠀⠀⠐⣿⡞⠉⣿⡿⠟⠲⠦⡤⠶⠂⠀⣼⠤⢤⣄
⠀⠀⠀⠀⡷⡀⠀⢈⣛⠶⠶⠚⠛⠋⠙⠓⠦⡀⠀⣿⠀⠀⡏⠀⠀⠀⠀⣷⡀⢀⡼⠋⠔⠊⠉⠁
⠀⠀⠀⠀⣧⠈⢢⠀⠑⢄⠀⠀⠀⠀⠀⠀⠐⢿⣆⢹⣧⣼⠁⠀⠀⠀⠀⠸⣿⠟⠀⠁
⠀⠀⠀⠀⢹⡀⢃⠀⠀⠀⠑⣄⠀⠀⠀⠀⢀⣑⣿⣿⣿⣷⡀⠀⠀⠀⣀⡴⠟⢱⡇
⠀⠀⠀⠀⠀⢳⣨⡵⣦⣀⣀⣈⣳⡦⠂⠉⠉⠁⠀⢈⡿⠋⠉⠛⢿⣿⣿⣤⡖⢸⠁⠸⣄
⠀⠀⠀⠀⠀⠀⠀⢰⣌⣧⣀⣴⣿⡇⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠺⣿⠙⡆⠀⠀⠀⠿⢄
⠀⠀⠀⠀⠀⠀⢀⡟⠀⣀⣙⣿⡟⣷⠀⢀⣀⣤⣶⢿⡀⠀⠀⠀⢀⣼⡟⠃⢹⠀⠀⠀⡆⠈⡄
⠀⠀⠀⠀⠀⣰⣿⠷⠚⣩⡟⠉⠀⠚⣢⣿⡿⣿⡇⢸⣁⣀⣠⡴⣿⢛⡶⠦⠀⠣⡀⠴⢻
⠀⠀⠀⠀⠀⡿⠁⠀⠀⠀⠀⢐⡶⠟⣿⢻⢃⣿⣧⡟⢋⡯⠀⠀⠚⠉⢀⣠⠃⠀⠀⠀⠈⢳⡄
⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⣶⠋⠴⠛⠁⢸⣿⡿⠏⠁⣸⠃⠀⠐⠲⠯⢉⣀⣀⣀⣀⡤⢤⠞⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢧⠤⠀⢠⠀⠀⢻⡇⠀⠀⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡠⠋⠀⠀⠀⠙

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣠⣤⣤⣾⣦⣤⣤⡀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡶⢾⣿⡿⠻⠿⢷⣶⡶⠿⠿⠻⣿⣿⢶⣶⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣶⣿⣫⣤⣄⣴⣿⣿⣿⣶⣄⣠⣬⣻⣷⣮⣿⣷
⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠉⠁⣴⣿⣿⣿⡿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣷⡄⠉⢹⣿⣷⡀
⠀⠀⠀⠀⠀⠘⣿⢋⣿⣧⣴⣾⣿⡿⣿⣿⣿⠋⠙⢿⠟⠉⢻⣿⣿⡿⣿⣿⣶⣄⣿⣏⢻⡟
⠀⠀⠀⠀⠀⣾⣿⡿⢻⣿⣿⣿⣷⣯⠉⠩⣡⣦⣀⣷⣇⣠⣦⡭⠉⢩⣷⣿⣿⣿⣯⠻⣿⣿⡄
⠀⠀⠀⠀⢠⣾⣍⠀⢸⣿⣿⣿⡿⠟⣴⣤⡞⡻⡡⢙⠡⡙⠙⣄⢴⡜⠿⣿⣿⣿⣿⠀⢈⣽⣦
⠀⠀⠀⠀⣸⡿⣿⣰⣿⣿⣿⣷⡄⢀⣨⡟⠁⠂⠀⣀⡀⠀⠀⠑⣯⣀⠀⣴⣿⣿⣿⣷⣸⡿⣿⡀
⠀⠀⠀⠘⢿⣧⣿⢻⣿⣿⣿⣿⠏⠙⠻⡟⠄⡀⠀⠻⠃⠀⡀⠜⡿⠛⠉⢿⣿⣿⣿⣿⢻⣇⣿⠟
⠀⠀⠀⠀⢸⣿⡟⠈⢻⣿⣷⣣⣤⣀⢾⣿⣇⣂⢀⠀⢀⢀⢂⡯⣽⢆⣠⣴⣳⣿⣿⠃⠘⣿⣿
⠀⠀⠀⠀⠀⣾⣷⣦⢸⣿⣿⣿⣿⣿⠀⠀⢼⡿⠲⣾⡲⠾⣽⠄⠈⢸⣿⣿⣿⣿⣿⢠⣾⣿⡆
⠀⠀⠀⠀⠀⠘⣿⡹⣿⡿⣿⣿⣿⣟⣾⣷⣧⠀⢀⣩⣁⠀⣡⣷⣿⣞⣿⣿⣿⡿⣿⡿⣹⡟
⠀⠀⠀⠀⠀⠈⠙⢷⣿⣧⠀⠙⣿⣿⣿⣿⣿⣷⣿⣿⣿⣷⣿⣿⣿⣿⣿⡏⠁⢠⣿⣷⠟⠉
⠀⠀⠀⠀⠀⠀⠀⠈⠙⢻⣿⣶⣮⣿⡿⠿⠿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣯⣶⣾⣿⠛⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣮⣹⣿⣦⢀⣨⣭⣿⣯⣭⣀⢠⣾⣿⣩⣶⠟⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⠛⠋⠻⠿⢿⣭⣽⠿⠿⠋⠛⠋⠁⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⡄

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⡀
⠀⠀⢰⣅⠆⠀⠀⠀⠀⠀⠀⠀⢰⠃⢠⡿⠀⣵⠈⡄⠀⠀⠀⠀⠀⢠⢀⢿⣼⣅⠁⠶⢄⢰⠆
⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠘⣇⢀⠦⠀⣸⠀⠀⠀⠀⢠⣧⢇⠸⡟⠘⢀⠀⣎⡿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⠈⠘⠢⠤⢹⣿⡣⠾⠟⠀⠐⠀⠀⠘⢾⡌⡅⠳⣷⡞⠈⡽⠰⠃
⠀⠀⠄⠀⠀⠄⠠⠀⠀⠀⠀⠀⠀⠀⠁⠀⠗⠀⠆⠀⠀⠀⠀⠀⠀⠀⠙⠊⢳⡿⠶⠿⠃⠁
⠀⠠⠀⠀⢰⡄⠀⣀⣤⣤⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠂⠀⠀⠈⠩
⠀⠀⠀⠀⠈⠗⣚⠛⢁⣄⠁⠀⠀⠀⠀⠀⠀⠀⠅⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠽⠃⠄
⠀⠀⠀⢀⣴⠀⢿⣇⠀⠹⢦⠄⠤⢠⠀⠀⠀⠀⠀⠀⢀⡎⠀⠀⠀⠈⠉⣿⡶⡄⠀⠀⠀⠀⠀⡀⢀⢹⠄
⠀⠀⠀⠀⠀⠃⠀⠙⠓⠀⠀⠀⠀⠈⢂⢀⠀⠀⠀⢁⣾⠇⠀⠀⠀⠀⠀⢘⠃⠉⠀⠀⠀⠀⠀⠡⠟⠈
⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⢰⡼⠀⠀⢰⡁⠀⠀⠀⠀⠀⢀⡦⢈
⠀⠀⠀⠀⠀⠀⠁⣠⣆⣀⣐⣶⣶⠖⠉⠀⠀⠀⠈⡿⡇⠀⠀⠀⠀⡼⠃⠁
⠀⠀⠀⠀⠀⠀⠀⠉⠀⠫⠍⠁⠀⠀⠀⠀⠀⠀⠀⠺⢧⠀⠀⢀⠜⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣶⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢝⠬⡓⠭⡐⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠈⠢⡈⠑⢄⠉⠓⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢻⠸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢱⠀⠈⢣⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⡸⢠⢱
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⡸⠀⠀⢸⠀⠀⡜⣠⠤⠀⠀⠀⠒⠒⠊⠁⠀⣠⠃⢸⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⡴⠁⠀⡠⠃⠀⣰⠏⠀⠀⢀⡠⠤⠤⠀⠠⠤⠒⠁⠀⡎⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⡜⠀⠀⡰⠁⠀⢰⡏⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⢠⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠒⠉⠑⠲⣄⡇⠀⠀⢃⠀⠀⡇⠀⠀⢸⡇⠀⠎⠀⡠⠖⠊⠉⠉⠉⠉⠉⠀⠀⢀⠜
⠀⠀⠀⠀⠀⠀⡀⠐⠉⠀⠀⠤⠤⣄⠀⠈⢳⡄⠀⠘⢆⠀⢣⠀⠀⢸⡇⠸⢀⠎⠀⠀⠀⣀⣤⠶⠶⠶⠶⣉⠁
⠀⠀⠀⢀⣤⡪⢒⣉⣀⠀⣀⡀⠀⠀⠱⡄⠀⠙⢶⣄⠀⠓⢄⠣⡀⠸⡇⢧⠊⠀⣠⡶⠋⠁⠀⠀⢀⠀⠀⠈⠳⡀
⠀⠀⣴⣿⣕⠪⠭⠄⣀⠀⠀⠈⠳⡀⠀⠱⡄⠀⠀⠉⠛⠶⣤⣑⡳⣄⣿⣟⣴⣛⡥⠒⣊⡉⠉⠀⠈⠉⠓⢄⠀⠙⢄
⠀⠘⠉⠁⠀⠀⠀⠀⠀⠉⠢⡀⠀⠱⡀⠀⠈⠲⠄⣀⡀⠀⣀⣈⣉⣹⣿⣿⣭⣍⣉⠀⠀⠀⠉⠙⠢⡄⠀⠈⢆⠀⠈⠳⢄⡀⠀⠀⠀⠀⣀⣤⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⠘⠢⢄⣀⣀⣀⡠⠤⠖⣊⡵⠋⣽⢿⠙⢷⢍⡙⠳⢦⣄⠀⠀⠈⢦⠀⠈⠣⣀⠀⠀⠈⠉⣀⠭⣿⡿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⢀⣠⣴⠞⠋⠀⡰⢱⢸⡆⠀⠣⡉⠦⠀⠉⠻⣦⠀⠈⢦⡀⠀⠀⠉⠉⠉⡡⢔⡨⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠬⠴⠶⠖⠚⠛⠁⠀⠀⢀⡔⠁⡆⢸⡇⠀⠀⢣⠀⠐⡄⠀⠈⢷⡀⠀⠉⠐⠒⠒⢉⡡⠔⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠁⠀⢀⡀⢤⣄⣀⣀⠤⠔⠉⠀⡜⠀⢸⡇⠀⠀⢸⠀⠀⢱⠀⠀⢸⠈⠢⠤⠤⠤⠒⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⡔⠁⠀⠀⠀⠀⠀⠀⠀⣀⠜⠁⠀⣼⠃⠀⢀⠎⠀⢀⡎⠀⢠⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⡘⠀⢀⠔⠊⠉⠉⠉⠉⠉⠀⠀⢀⣴⠏⠀⣰⠋⠀⢠⠎⠀⢠⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⡇⢠⠃⠀⣀⠤⠔⠒⠒⠒⠒⠈⠁⡎⠀⠀⡇⠀⠀⡆⠀⠀⡎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠁⡆⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⠀⠳⡀⠀⢣⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⣧⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⠉⠢⣀⠳⣄⠱⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠬⢕⣢⣕⣼⣦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠇

⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⠟⠛⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⠀⡆⢲⣀⡶⠛⣦⣴⠛⢶⣀⡖⢰⠀⡠⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠶⣤⡟⢸⡇⢻⣤⣹⡗⣦⡟⢻⣴⢺⣏⣤⡟⢸⡇⢻⣤⠶⣦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠚⣾⣷⣰⡾⣧⣿⠷⠼⢛⣛⣥⡟⠀⠀⢻⣬⣛⡛⠦⠾⣿⣼⢧⣄⣾⡷⠟⢦
⠀⠀⠀⠀⠀⠀⠀⠀⢠⡑⠶⢷⣔⢾⠇⠙⠻⢶⠾⣿⣿⣿⠟⣁⣀⠀⠀⣀⣈⠻⣿⣾⣿⠷⡶⠟⠉⠸⡧⣢⡾⠶⢊⡄
⠀⠀⠀⠀⠀⠀⢄⠲⣄⠙⢶⣶⢟⣼⡇⠀⠀⠀⣤⣶⣾⣿⣿⣯⡟⠀⠀⢻⣽⣿⣿⣷⣶⣤⠀⠀⠀⢸⣧⡻⣶⡶⠋⣠⠖⡠
⠀⠀⠀⠀⢀⡤⢼⣇⢸⣷⠾⣣⣿⡏⣠⡴⡀⠀⠘⠛⣟⣿⣿⡕⡤⣒⣒⢤⢮⣿⣿⣻⠛⠁⠀⢀⢦⣄⢹⣿⣜⠧⣾⡇⣸⡧⢤⡀
⠀⠀⠀⢀⣺⣄⣰⣝⣛⣵⡿⠿⢿⣿⣿⡿⣋⣠⣀⣭⡲⣝⣿⡸⡜⣿⣿⣧⢇⣿⣫⢖⣭⣀⣄⣸⢿⣿⣿⣿⠿⢿⣮⣛⣫⣆⣠⣗⡀
⠀⠀⢰⡟⠙⣻⡍⠁⠉⠉⢀⣾⣿⣿⢿⣷⡇⣇⠿⣿⣷⣿⣿⡷⣿⣛⣛⣿⢾⣿⣿⣼⣿⠿⣸⢸⣾⡿⣿⣿⣷⡀⠉⠉⠈⢩⣟⠋⢻⡆
⠀⠠⣤⠷⠶⣯⢻⡆⠀⠀⠀⠈⠉⣸⠭⢝⡻⣮⣿⣞⡽⠾⠿⣽⡟⢁⡈⢻⣽⠿⠷⢯⣳⢫⣵⢟⡫⠭⣏⠙⠁⠀⠀⠀⢰⡟⣽⠶⠾⣤⠄
⠀⠐⠶⠶⢿⡟⣾⣇⢠⣿⣦⠀⣄⣼⣿⣧⣳⣽⣷⣻⡇⣐⠰⣮⣰⠍⠩⣆⣕⠆⣂⢸⣿⣾⣯⣞⣼⣿⣧⢠⠀⣶⣿⡄⣸⣷⢻⡿⠶⠶⠂
⠨⣉⠛⣶⣶⢃⣽⣿⣾⣿⣿⣽⣜⠮⣯⣿⣳⡋⢉⣩⣥⣷⡢⢐⣿⣫⣼⣿⡂⢔⣮⡬⣍⡉⢙⣞⣿⣽⡥⣣⣯⣿⣿⣷⣿⣯⡘⣶⣶⠟⣉
⢠⡼⠷⠾⠟⣾⠟⢡⡿⣿⢟⠿⣛⡻⢿⡮⡿⣧⠰⣢⢈⢚⢻⣶⣿⢿⡿⣿⣶⡟⡓⡁⣴⠆⣼⣿⢵⡿⢟⣛⠿⡻⣿⢿⡌⠻⣷⠻⠷⡾⢧
⠻⣤⣬⠿⠛⠉⠀⠘⠙⠉⢠⢫⣶⣯⣻⢻⠟⢉⡴⠞⡿⢿⣿⣟⢮⣷⣾⡵⣛⣿⡿⢿⠳⢦⡉⠻⡟⣟⣽⣶⡝⠄⠉⠛⠃⠀⠉⠛⠿⣥⣤
⣴⠟⢛⣶⣤⣀⠀⢠⣠⡀⠐⣜⠿⣟⣿⣝⣦⡈⠧⢦⣦⣿⣿⣯⢟⡿⢿⡻⣭⣿⣿⣴⡴⠼⢁⣴⣫⣿⣻⠿⣣⠂⣀⣄⡄⠀⣀⣤⣶⡛⠻
⠘⢲⡾⢶⣦⢿⣦⡘⣷⣿⣾⣾⣭⣽⣾⣮⣿⡟⢱⡟⢈⢌⣾⡿⣿⣼⣧⣿⢿⣧⡡⡁⢻⠆⢻⣿⣵⣷⣯⣭⣵⣷⣯⣾⢃⣴⡿⣴⡶⢷⡖
⠀⣋⣤⠿⠿⡜⣿⣿⢿⣿⣿⣻⢫⢖⣛⣻⡽⣅⣈⣙⠚⡿⡑⠨⣿⡓⣛⣿⠅⢊⣿⢓⣋⣁⣨⢏⣟⣛⡲⡝⣟⣿⣿⡿⣿⣿⣣⠿⠿⣤⣙
⠀⡠⠴⠶⣾⣇⢿⡟⠘⣿⠿⠀⢃⢿⣿⡿⡽⣞⡻⣽⡇⠹⠴⠟⠹⣂⣐⠏⠫⠖⠍⢸⣯⢟⣷⢯⢻⣿⡿⡘⠀⠿⣿⠃⢻⡿⣸⣷⠶⠦⢄
⠀⠐⠚⣶⢶⣟⣼⠇⠀⠈⠀⢀⣀⢱⣒⣚⣵⢿⣫⢯⣳⠴⣶⣿⣧⡈⢁⣼⣿⣶⠦⢞⣽⣝⠿⣮⣓⣒⡎⣀⡀⠀⠁⠀⠸⣧⣻⡶⣶⠓⠂
⠀⠀⠸⣇⣠⣽⢃⡀⣀⡀⠈⢷⣿⣷⣾⡿⡏⡎⣷⣿⣏⣿⣵⣯⣷⢽⣫⣾⣿⣾⣿⢿⣿⣶⢱⢹⢿⣷⣾⣿⡿⠁⢀⣀⢀⣐⣯⣀⣸⠇
⠀⠀⠀⠈⣽⠛⠩⣿⣭⡻⣷⣶⣿⣿⣿⣷⡍⠙⠙⢿⡵⣫⣿⢱⢫⣿⣿⡝⡎⣿⣝⢬⣿⠉⠋⣩⣾⣿⣿⣿⣶⣾⢟⣭⣻⠍⠻⣯⠁
⠀⠀⠀⠀⠈⠓⢲⡏⢸⡿⠦⡝⣿⣇⠙⠻⠁⠀⣠⣤⣭⣿⣿⠮⠳⠍⠩⠚⠼⣿⣿⣭⣤⣄⠀⠈⠟⠋⣸⣿⢫⠶⢿⡇⢹⡖⠚⠁
⠀⠀⠀⠀⠀⠀⠊⠠⠋⣠⣾⠿⣮⢻⡇⠀⠀⠈⠓⠿⢿⣿⣿⣟⠶⠀⠀⢶⣻⣿⣿⡿⠿⠛⠁⠀⠀⢸⡟⣵⠿⣷⣄⠙⠄⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠘⡡⠶⡾⠫⢾⡖⣀⣰⠶⢶⣾⣿⣿⣎⡉⠉⠀⠀⠉⢉⣱⣿⣿⣷⡶⠶⣆⣀⢲⡷⠝⢷⠶⢌⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠷⣤⢾⡿⠙⢣⡟⣷⡶⢲⣭⣟⡛⣧⠀⠀⣼⢟⣻⣭⡖⢶⣾⢻⡞⠏⢿⡷⣤⠾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠶⠚⣧⢸⡇⣼⠟⣹⡇⠟⣧⣼⠻⢼⣏⠻⣧⢸⡇⣼⠓⠶⠞⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠊⠀⠃⠜⠙⢧⣤⠟⠻⣤⡼⠋⠣⠸⠀⠑⠈
⡿⢿⠿⠿⡿⠻⢿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⡟⣿⣿⣿⡿⢿⣿⢿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣰⠆⠀⢀⣠⠀⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢀⠀⠐⠀⡀⢀
⠀⠀⠀⠀⠀⠀⠀⡴⠂⢿⣧⡸⣄⠀⠋⠀⣰⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢀⢀⣿⣄⣀⢲⣇⡀⠀⠃
⠀⠀⠀⠀⠀⣤⡶⠇⣀⣀⣈⡃⡈⠃⠀⣦⠇⣄⠀⠲⠀⠀⣀⡀⠰⠗⠲⢈⣯⡤⠶⠿⠾⠿⣿⣏⠀⠠⠀⡞
⠀⠀⠀⠀⠀⠙⡇⢀⣤⣬⡏⠁⠿⠒⠓⠦⣝⡿⡴⠋⠀⠚⢩⠔⣾⠂⢀⡋⠂⠀⠀⠀⠀⠀⠘⠛⠒⠚⠒⠟
⠀⠀⠀⠀⠘⢿⠿⣾⠉⣙⣓⡆⢘⠒⢦⣾⠶⢹⡏⢀⣠⠔⠁⡀⠿⢢⣞⣥
⠀⠀⠀⠀⣀⠤⠋⠟⢻⡉⠉⠛⠊⠛⢳⣮⣶⠈⣠⡿⠓⣚⣷⣄⣠⠎⠉
⠀⠀⠀⢸⣿⣦⣀⣶⣿⣷⣤⣄⣀⡸⠟⠉⣴⣿⡏⢳⣀⣀⡠⢿⡐⠲⢶⣎⣠
⠀⠀⠀⠠⣬⣉⣸⠋⠰⣯⣁⣼⡿⣢⣤⡾⣿⠘⠇⠀⠹⣯⣀⠀⠈⠀⢠⠉⠁
⠀⠀⠀⠀⠈⢙⠃⣠⣾⡿⠹⣯⣴⡟⣼⡇⠙⢦⣘⣦⣀⡇⠸⣭⡛⠿⠷
⠀⠀⠀⠀⠀⠈⠛⠛⠓⣿⠻⢻⣿⠀⡿⣧⠀⠀⡛⢻⣿⡅⠀⢻⣿⡦
⠀⠀⠀⠀⠀⠀⠀⠀⠞⠋⣰⣿⡧⢤⡶⣹⡆⢀⣿⣿⠛⠿⢦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠀⢸⣿⠿⢿⠿⣿⣏⠀⡼⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣷⣄⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉

⠀⢀⠀⠀⠀⠀⠀⠈⠀⠁⠸⡇⠈⠀⠁⠀⠀⠀⠀⠀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠀⠁⢸⡇⠈⠀⠁
⡒⠩⠀⠀⠀⠀⠀⡀⠀⠀⠞⠣⠀⠀⢀⠀⠀⠀⠀⠀⠏⢒⡖⠹⠀⠀⠀⠀⠀⡀⠀⠂⠜⠣⠐⠀⢀⠀⠀⠀⠀⠀⠌
⠋⡀⠀⠀⠀⠀⠀⠀⠀⠓⡀⢀⠚⠀⠀⠀⠀⠀⠀⠀⢰⡝⠋⡀⠀⠀⠀⠀⠀⠀⠀⠃⡀⢠⠒⠀⠀⠀⠀⠀⠀⠀⢰
⠀⠙⠀⠀⠀⠀⠀⠀⠀⢻⡅⢨⡟⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⢻⡅⢨⡟⠀⠀⠀⠀⠀⠀⠀⠋
⠀⠀⠀⠈⠛⠺⠀⣀⠀⠀⠐⠂⠀⠀⣀⠀⠗⠛⠉⠀⠀⠀⠀⠀⠀⠈⠛⠺⠀⣀⠀⠀⠐⠂⠀⠀⣀⠀⠗⠛⠁
⡀⠀⠀⠀⠀⠀⠀⠈⠑⢤⠀⢀⡤⠊⠁⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠈⠑⢤⠀⢀⡤⠊⠁
⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⣼⡥⠀⠀⠀⠀⠀⠀⠀⠀⠻⠟⠀⠀⠀⠀⠀⠀⠀⠀⢬⣧⣼⡥⠀⠀⠀⠀⠀⠀⠀⠀⠻⠟⠀⠀⠀⠀⠀⠀⠀⠀⢬
⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂
⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡘⠂⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⣇⠈⠀⠁⠀⠀⠀⠀⠀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠀⠁⡸⢇⠈⠀⠁⠀⠀⠀⠀⠀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠈⠀⠁
⠣⠀⠀⢀⡀⠀⠀⠀⠈⠏⠒⠒⠹⠁⠀⠀⠀⠀⡀⠀⠀⠜⠣⠀⠀⢀⡀⠀⠀⠀⠈⠏⠒⠒⠹⠁⠀⠀⠀⢀⡀
⢀⠐⠀⠀⠀⠀⠀⠤⠂⠀⠉⠋⠀⠐⠤⠀⠀⠀⠀⠀⠂⡀⢀⠐⠀⠀⠀⠀⠀⠤⠂⠀⠉⠁⠀⠐⠤⠀⠀⠀⠀⠀⠂
⢠⠟⠀⠀⠀⠀⠰⠄⠀⠀⠀⠀⠀⠀⠠⠆⠀⠀⠀⠀⠻⡅⢠⠟⠀⠀⠀⠀⠰⠄⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠻
⠂⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂
⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⢃
⠀⠀⠀⠀⡴⠋⠀⠀⠀⢀⡏⢹⡀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⢀⡏⢹⡀⠀⠀⠀⠙⢦
⠀⢀⣤⠀⠀⠀⠀⠀⠀⢬⣧⣼⡥⠀⠀⠀⠀⠀⠀⣄⡀⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⢬⣧⣼⡥⠀⠀⠀⠀⠀⠀⣄⡀
⢵⠋⠀⠀⠀⠀⠀⠀⠀⠀⢘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠑⠂⢵⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⣿⣿⣿⣿⣻⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣟⣿⣛⣿⣿⣻⣟⣻⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⡀⠀⢰⣄⢠⡆⠀⢀⠀⠀⠀⢻⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣄⡉⢺⣇⣠⡾⠋⣀⡴⠁⠙⢦⣀⡙⢶⣄⣸⡷⠉⣠⣤⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠩⢟⢛⡓⠘⠿⠛⢉⠅⠁⠀⠀⠀⠀⠀⠈⠁⠚⠿⠃⢚⣛⡻⠍⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣀⠀⠀⠀⠀⠇⠆⢹⠈⢀⠐⠁⠀⠁⠐⠀⠀⠀⠀⠀⠁⠀⠀⠁⡏⠰⠼⠀⠀⠀⠀⢀⣠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠍⠀⠀⠄⠀⠀⡠⠃⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠄⠀⠀⠠⠀⠀⠉⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⠄⠰⡄⠀⠀⠄⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢠⠆⠠⡀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣤⢂⠤⡀⠀⠀⠀⢀⠠⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⢀⠤⡀⣆⣷
⠀⠀⠀⠀⠀⢀⣠⣄⠀⠻⣯⢧⣛⣀⡠⠂⠐⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢄⣀⢛⡼⣿⠟⠀⣤⣄⡀
⠀⠀⠀⠀⠈⠛⠛⠫⣶⣶⣄⡀⠈⢁⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢄⣠⣶⣶⠟⠛⠛⠁
⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⡟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⡴⣣⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢳⡄
⠀⠀⠀⠀⠀⠀⠀⠘⠋⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠠⠀⠀⠀⡼⠁⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⣇⠙⠃
⠀⠀⠀⠀⠀⠀⠰⢦⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡣⠄⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡰⠆
⠀⠀⠀⠀⠀⠀⠠⡾⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢀⡀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢷⠄
⠀⠀⠀⠀⠀⠀⠀⢀⣀⢹⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⡏⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⣇⠈⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠘⠄⠀⢂⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⣸⣴⠏
⠀⠀⠀⠀⠀⣀⣄⣀⣶⡾⠟⠢⠀⠈⠀⡀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⣀⠀⠀⠘⣦⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠔⠻⢷⣶⣀⣀⣀
⠀⠀⠀⠀⠀⠉⠻⠿⠁⣠⣶⡴⣊⠑⠢⠌⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⢸⡄⢠⠀⠀⠀⠀⠀⠀⢀⠔⡡⠔⢊⣑⢦⣲⣆⠈⠿⠟⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⠝⠊⠂⠀⠀⠀⠀⠠⠒⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠀⢻⣇⣸⢃⣿⠀⠀⠀⠀⠓⠔⠁⠀⠀⠀⠐⠑⠣⢟⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠐⠆⠠⠆⠀⠈⠂⠀⠀⠀⢰⡄⠈⢻⣷⡿⠀⣸⣿⣿⣿⡿⠀⠀⢀⠔⠁⠀⠰⠄⠰⠂⠀⠀⠀⠀⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠦⠀⠀⠑⡈⠂⠀⠀⢿⣶⣶⣿⣧⣴⣿⣿⠿⠋⠀⠀⠔⢁⠊⠀⠀⠴⠀⠂⢀⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠋⠀⠀⠀⠀⡔⣄⢸⠀⠈⠢⠀⠈⠉⠉⠉⠉⠉⠀⠀⢀⠐⠀⠀⡇⣤⢠⠀⠀⠀⠀⠙⠻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣽⣒⣫⢀⣦⣀⡈⠂⠀⠀⠀⠀⠀⠀⠐⢁⣠⣔⡀⣝⣒⣧⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠛⠁⢸⣏⠻⢦⡍⠛⢦⡀⢀⡴⠛⢩⡵⠟⣹⡇⠈⠛⠟⠛⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⠁⠀⠀⠋⠀⠰⠏⠹⠆⠀⠙⠀⠀⠈⣽⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠃

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢀⡜⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢇⡌⠀⢣
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣇⣸⡀⠀⠀⠱⡄⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⢢⠈⢰⠳⠀⠀⠀⢸⢀⠞⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⢀⠾⠀⡇⠶⢄⢸⢪⡼⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⣱⢨⡎⡜⠀⠇⡀⠀⠻⡰⠁⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠇⠀⡷⠁⡘⢀⠇⠀⠀⠥⢀⡼⠐⣲⡂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⢸⠀⡔⠁⡴⢁⠎⠀⠀⡠⢣⠋⠀⣾⢻⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠋⠀⡌⡠⠃⢀⠔⠋⠀⠇⠀⢸⢡⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡷⡀⠀⠀⣧⠁⠰⠁⠀⠀⢠⠀⠀⢸⢈⠵
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡕⢄⠀⠸⣆⡀⠀⠀⠀⠸⠀⠀⡘⠁⢠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠚⠢⣉⣦⡜⠧⣀⠀⢀⢃⡠⠜⠓⢒⢾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠤⠫⢕⠢⣤⠎⠉⢪⣖⠄⡉⠛⠯⣽⠟⠒⠳⠥⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣷⠄⣀⠔⣹⣇⠀⣤⣾⢣⠙⡮⣕⠢⠽⡃⠢⢄⣸⣿⣿⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠋⣠⣮⣁⠀⡰⠁⢸⢈⣆⢡⠘⢄⢀⣼⣶⡀⠈⠙⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢿⠎⠀⠀⢸⣿⣿⣿⡆⠀⠳⣿⡿⠃

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠓⠀⠀⢀⡠⢤⢖⠤⢄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠐⡉⢣⠀⡠⠖⢡⠚⢁⣴⠔⠊⠀⡠⢣⣃⠤⠊⣀⠀⠀⢠⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠘⡕⠢⡈⠺⢤⠁⢃⢧⢊⠝⠁⠀⠀⢀⠃⠈⣡⠖⡩⣋⠤⠒⠁⣸⠔⠢
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡈⢂⠀⢰⠀⠈⠢⡘⡄⢸⢀⠏⠀⠀⠀⠀⢸⠀⠰⠁⠐⠰⢁⠔⠒⠉⠸⣤⡎
⠀⠀⠀⠀⠀⠀⠀⠳⣀⠀⠉⠘⠂⢸⠀⠀⠀⠘⡰⠎⡌⠀⠀⠀⠀⠀⠈⡀⢁⠀⡆⠘⠁⣀⠤⠒⠉⢀⠃⠀⢠⢄
⠀⠀⠀⠀⢠⡀⠀⢇⠈⠁⠒⢄⡀⠈⢆⠀⠀⠀⡇⠀⡇⠀⠀⠀⠀⠀⠀⢣⠈⠶⠀⠠⠊⠀⠀⠀⡠⠃⠀⣠⠂⢸
⠀⠀⠀⠀⢸⠑⢤⡈⠲⠤⠀⠤⠘⣄⠈⠑⠤⣀⢱⡀⠇⠀⢰⠀⠀⠀⠀⠀⠳⡀⠀⣇⣀⠠⠤⠊⠑⠶⠈⠠⠔⣋⠔⠒⠒⠄
⠀⠀⠀⠀⠸⠀⠀⠉⠁⠒⠒⠒⠀⠈⠉⠀⠒⠠⢄⡀⠘⡀⠈⢆⠀⠀⠀⠀⢀⠅⢀⣀⠀⠤⠤⠄⣀⡀⢀⣤⠤⢍⡉⠃⠈⠁
⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡐⢄⠈⠢⠀⠀⣴⠟⠉⢀⠠⠄⠀⠠⠤⡀⠀⠙⠢⡑⠦⣉⣒⠖
⠀⠀⡋⠑⢄⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⢤⡀⠀⠀⠈⢆⠳⡀⠑⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⡀⠀⠘⡄⢤⠠⢄
⠀⠀⠈⠒⠬⠆⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠄⠀⠀⠈⢆⠘⡄⠀⢸⡇⠀⡠⠔⠂⣐⠒⠤⡀⠀⠁⠀⠀⢩⠀⠱⡀⠑⠄⡶
⠀⠀⠀⡗⢄⡀⠀⠑⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠈⡆⢀⠀⢸⡇⣰⡗⠒⡄⠙⠄⠉⠛⢦⡀⠀⠀⠀⢣⡀⠉⠒⠊
⠀⠀⠀⠐⢄⡀⠉⠒⠂⠬⣷⠖⠒⠒⠈⠉⠉⠒⢄⡀⠀⠀⠀⠀⠰⠘⣠⡾⣡⡟⠀⠀⠈⡆⢸⠀⠀⠈⠌⣦⡀⠀⠀⠉⠢⠤⢀⡀
⠀⠀⢀⠤⠄⠬⡍⢀⠔⠋⠒⠀⡠⠞⢃⣀⠤⠤⠀⠨⠑⠦⠴⠶⠶⣭⢙⠿⠋⠀⠀⠀⠀⢸⠈⡄⠀⠀⡌⡗⡌⠐⠒⣒⠒⣀⠉⠁
⠀⠀⢇⣀⠤⠊⠔⠁⠀⠀⢀⠞⢀⠔⠉⠀⠀⠀⠀⠀⣠⡴⠶⠶⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⣤⢎⠢⣀⡄⠰⡈⠢⣀⠉⠢⠀⢣
⠀⠀⠀⠀⣤⡊⠀⣀⡠⢒⡅⢠⠃⠀⠠⠁⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠡⡀⠀⠀⠀⡇⡎⠳⡀⠉⠀⣈⡒⠠⠛⢰⡠⠎
⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⡠⡌⠀⠀⠰⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⡇⡁⢀⠇⣠⡀⢇⠈⠢⡀
⠀⠀⠀⠀⠀⠀⢠⠃⠀⡰⠁⡃⠀⠀⠘⡀⠀⠀⠀⠀⠈⡌⠢⢄⠀⠀⠀⠀⠀⠀⠈⡀⠀⢠⣠⠧⠊⠀⡃⠐⠈⣆⠀⠁
⠀⠀⠀⠀⠀⠀⢠⠀⡜⠀⠀⠃⠀⠀⠀⠱⡀⠀⠀⠀⠀⠃⠀⢲⠭⣐⠦⡀⠀⠀⠀⠇⠀⣨⠀⠀⠀⡰⠁⡌⠀⡠⢀⠇
⠀⠀⠀⠀⠀⠀⠈⠓⠷⠀⠞⢜⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⢡⠀⠑⢬⠢⡀⠀⠀⠀⠇⠀⠀⢰⠀⡘⠀⠰⠗⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⢘⠈⠢⡀⠀⠀⠀⠀⠀⢀⠃⣰⠓⡄⠇⠀⠀⠑⡕⡄⠀⡸⢠⠛⢄⠐⢄⡃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠈⠢⡀⠀⠀⡠⠃⢀⠃⠀⢡⢸⠀⠀⠀⠘⡸⠀⠃⢹⡀⡸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠜⠁⠀⠸⡀⠀⡜⠀⠣⢄⣀⣀⡇⡟⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠊
⡶⣶⢶⠶⠶⡶⢶⠶⢶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⢶⡶⣶⣶⣶⣶⣶⠶⡶⣶⣶⣶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣷⣤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠟⠹⣿⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠚⠻⠛⠷⣦

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⢠⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠘⠏⠀⠐⠲
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠈⠹⡿⠟⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠶⠐⠒⠀⠀⠀⠆⢀⣴⣿⡿⠂⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠿⠋⣀⣤⣶⡆⠀⠀⣠⣶⣿⡟⠉⣀⣴⣿⠗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⢁⣠⣾⣿⠿⠋⠁⠀⠀⠻⠄⢿⣿⣾⡿⠛⢿⣧⣾⣿⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⡿⠛⢿⣷⣾⡿⠻⣿⣤⣾⠃⠀⠀⠀⣴⣿⡿⠋⠀⣠⣾⣿⠟⠁⠀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⣠⣶⣿⠟⠋⣀⣴⣿⢿⡋⠀⠀⠀⠀⠛⠋⢀⠰⠾⡿⠟⠁⠀⣠⣾⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣦⣾⣿⣿⡁⣀⡠⠿⣿⠁⣰⠃⠀⠀⠀⠀⢿⣷⣿⣶⠶⣶⣌⣠⣾⣿⠟⢿⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠋⣸⣿⠘⢯⣄⣀⣭⡿⠁⠀⢀⣀⣀⡀⢸⡿⠋⠀⠀⣽⣿⣿⠟⠁⠀⣠⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣏⣠⣾⣿⠛⢀⣄⣉⣉⣩⣶⠶⠀⠛⠋⠉⠋⠀⠀⢀⣴⣾⡿⠛⠁⢀⣤⣾⣿⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠟⠙⣿⣷⡦⠈⢋⠉⠋⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣏⠀⢀⣴⣿⡿⣿⣷⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠋⠁⣠⣾⣿⡇⠀⠀⠉⠀⠁⢀⠀⠀⠀⠀⠀⠀⠀⠻⠋⠈⣿⣷⣿⡿⠋⠁⠈⠻⢿⣿⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠈⢷⡄⠀⣀⣀⣀⠈⠁⠀⠀⠀⠀⠀⢀⣀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠈⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⢠⠘⠓⠀⠀⠀⢻⣽⡿⠀⠸⠛⠒⠀⠀⠀⠀⣹⣿⠟⠉⠀⢀⣴⣿⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠘⠃⠀⠀⠛⠀⣀⠀⠀⠀⢀⣀⠀⠀⢹⣿⣦⣠⣶⣿⣿⣿⣿⠛⠷⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠦⡀⠀⡀⢄⣤⣶⣿⡇⠠⠄⣶⡋⢹⡇⠆⢸⣭⣿⣿⣿⡿⠟⠙⢿⣷⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⡿⠋⠈⣻⡇⠀⠀⠀⠙⠉⠀⠀⠸⣿⣿⡿⠋⠀⠀⣠⣾⣿⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠟⠉⠀⣠⣶⣿⣷⣶⣶⣶⣶⣶⣶⣾⣿⡿⠋⠀⠀⣠⣾⣿⣿⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠟⠁⢀⣠⣾⣿⡿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣠⣾⣿⣿⣿⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣦⣴⣿⣿⣿⣿⣦⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⢙⣿⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠿⠋⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⢀⣴⣿⣿⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠟⠁⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⣴⣿⣿⣿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⣠⣾⣿⣿⡿⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⣿⣤⣴⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡏⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⢀⣽⣿⣿⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⠿⠛⢿⣿⣦⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⢀⣴⣿⣿⣿⠟⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠟⠁⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣰⣿⣿⣿⡟⠁⢀⣼⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⣠⣴⣿⣿⡿⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⠋⣠⣴⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣾⣿⣿⡿⠋⠀⢀⣀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠐⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣾⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⡿⠿⣿⣿⣿⣿⣦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣦⣀⣉⡉⠁⠀⠀⢉⣴⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⠉⠁⢠⣤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣬⡙⠛⠛⠉⣀⣠⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⣀⠛⠿⠿⠟⢋⡁
⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣶⣶⣶⣿⣿⣦⣄
⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄
⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦
⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿