Great white shark Emojis & Symbols

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⡀⠀⠤⠤⠀⣠⣤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣮⡓⢄⠀⠀⠀⠀⢀⡀⠠⠄⣒⣀⣭⣤⣶⣿⣿⣶⣾⣿⣿⠿⠿⡳
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣦⡱⠤⣒⣨⣥⣶⣾⣿⣿⣿⣿⣿⡿⠿⠛⠋⠈⠋⠀⠀⠔⠁
⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⣛⣥⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣀⣠⣤⣤⣤⣤⠀⡠⠊
⠀⠈⠻⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢔⣨⣴⣾⣿⣿⣿⣿⣿⡿⡿⣿⠟⠛⠉⠁⠚⠉⠩⠋⠙⠉⠍⡈
⠀⠀⠀⠈⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣐⣥⣶⣿⣿⣿⣿⣿⣿⣿⡯⠷⠛⠻⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊
⠀⠀⠀⠀⠀⢻⣿⣿⣿⣦⡀⠀⠀⠀⢠⣀⠀⣄⣢⣵⣿⣿⣿⣿⣿⣿⡿⢟⣋⡭⠴⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠒⠁
⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣥⣴⣶⣾⣶⣿⣿⠿⡿⢿⣿⡿⢟⡯⠗⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠔⠚⢄
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠋⠉⠉⠀⠀⢀⣀⠶⠒⠊⢁⣈⣀⣤⡐⠂⠉⠀⠀⠀⠀⣀⣠⠤⢶⠚⠉⠀⠀⠀⠈⠣
⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠃⠀⠀⠀⠚⠛⠿⠒⠒⠚⠉⠹⠛⠉⠈⢉⡙⠋⠉⠉⠉⠉⠀⠀⠀⠀⠉⠉⠐⠢⢀⠀⠀⠱⡀
⠀⠀⠀⠀⠀⠀⢀⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣤⣧
⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉


⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⣁⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠉⠀⡡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⡟⠀⠀⠀⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠳⣤⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡞⣽⣿⣿⠟⠂⠀⠀⠀⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠞⠕⠺⠅⠀⠈⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠛⢿⣿⣿⡿⠁⠀⠀⠀⠀⠀⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⡀⠐⣤⡼⠗⠋⠣⠸⢓⡀⠀⠀⠀⠠⢶⠄⠀⠀⠀⢀⢤⠛⣼⡗⣼⣿⡿⠁⠀⠀⠀⠀⠀⠀⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣏⣾⣳⣋⣟⠗⣲⡠⠀⠁⠐⠂⡛⠀⣂⣄⣀⣀⡀⠀⠀⠉⠈⢑⣿⠀⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣀⡀⠘⠈⠸⠂⠈⠈⠉⠁⠀⠀⠘⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠷⠷⠇⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠉⠛⠀⠀⠀⠐⠚⠳⣶⣶⣤⣤⣤⣤⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣏⡌⡀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠋⠉⠀⠆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣯⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠁⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⢀⡈⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⣤⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⣿⣿⠀⠀⠀⠀⠀⢠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⠟
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣄⣀⢴⣾⣿⣿⣿⠏
⠀⠀⠀⠀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄
⠀⠀⠀⠈⠻⡉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄
⠀⠀⠀⠀⠀⠈⠢⣄⡀⠀⠀⠀⢀⣀⣀⡤⠀⠀⠀⠀⠉⠙⠻⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⡿⣹⢿⣿⣿⣿⣿⣿⣿⣿⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⡛⠿⣿⣿⣿⣿⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡙⢿⣶⣭⣝⣛⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⡽⠛⠛⠛⠛⠛⠛⠛⠋⠁⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣷⣶⣤⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣰⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣍⠛⠛⠋⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⢹⣿⣿⡏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⣸⣿⣿⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⡄⣸⣰⣿⠟⠁⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⠿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠟⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠚⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⡀⠤⠠⠀⠒⠒⠒⠈⣉⡉⠁⠀⠀⠀⠀⠀⠀⠐⠂⠀⠠⢀⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢀⠄
⠀⠀⢞⠁⢀⠀⠀⠀⠀⠀⠀⢴⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠲⢁⠀⠀⠀⠀⠀⢀⠎
⠀⠀⠀⠡⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢰⠀⡀⠀⠀⠀⠀⠀⠀⠈⠂⢄⠀⠒⡎
⠀⠀⠀⠀⠈⢻⣶⣴⡔⠆⠙⠙⠋⠒⠶⠤⣀⠀⠀⠀⠀⠀⢸⢀⠃⡇⢠⠀⠀⠀⠀⠀⠀⠀⠁⠀⡀
⠀⠀⠀⠀⠀⠀⠙⠺⠥⠄⣤⡦⠒⠚⠚⠚⠛⠓⠀⠀⠀⠀⠋⡜⢰⠃⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠰⠁⠠⠒⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠋⠉⠙⠛⠲⣢⣤⣄⡀⠀⠀⠀⠀⠀⠈⢿⣶⣤⣀⠀⠈⠢⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⠿⠛⠻⢷⣦⣄⣀⡀⠀⠀⠈⠙⠿⣷⣦⡀⠈⠢⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣿⠿⢋⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠲⢄⠀⠀⠈⢻⣿⣶⣄⡘⢄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠾⠋⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡰⠃⠀⠀⣸⣿⠟⠉⠻⢎⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⡰⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀⡡⠄⠁⠀⠂⠀⣴⠿⠋⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠀⠀⠠⠜⠉⠀⠀⠀⣀⡤⠚⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⣤⣤⠤⠐⠊⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡠⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈

⠀⠀⠀⠀⠀⢸⣆
⠀⠀⠀⠀⠀⢹⣿⡆
⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢄
⠀⠀⠀⠀⠀⣸⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡕⡄
⠀⠀⠀⠀⠀⣿⣿⣿⠇⠀⡠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⡼
⠀⠀⠀⢀⣴⡿⠛⠁⠀⡜⣷⡄⠈⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠇
⠀⠀⣄⡼⠋⠁⠀⠀⠀⡇⠈⠀⠀⠀⠠⠘⠶⢦⣄⠀⠀⠠⠄⠿⠿⠟⢰
⣤⣾⡏⠀⠀⠀⢠⣤⣴⡏⠀⠒⠁⠀⠀⠀⠀⠀⠾⣧⣀⠀⠀⠀⠀⠀⠘⢦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⣞⠠⣂⡤⠤⠤⠤⠄⡀⠀⠀⠈⠈⠓⠤⣀⠀⠀⠀⠀⠙⢦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⢾⣴⣶⣿⣾⣴⣴⣤⠲⠄⠀⠀⠀⠀⠀⠙⠳⣤⠀⠀⠀⢱
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠰⡀⠀⠀⠀⠈⠂⠀⠀⠘⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠙⢿⣿⣿⣿⠋⢿⣿⣿⡧⠄⠀⠀⠀⠁⠀⠀⠀⠀⠀⢠⢰
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⣼⣿⣿⣿⣾⣯⡿⡟⠁⠀⠀⠀⠀⠈⠑⠂⠰⣲⠀⠈⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠻⣍⣿⣽⠭⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣶⠶⠶⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠚⠉⠑⠲⣤⣤⣤⠶⠖⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣀⠑⢄⡀
⠀⠀⠀⠀⠀⠀⡠⣢⠞⠁⠀⠀⠀⠀⠀⠈⠿⢿⣷⣦⣤⣤⣴⡶⠾⠟⠛⠉⠁⠀⠉⠛⠶⣌⡢⢄
⠀⠀⠀⠀⠠⡪⠞⠁⢀⠠⠀⠒⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⣕⡀
⠀⠀⢀⣪⣾⣄⡤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⢦⣄
⣤⣼⣿⣿⣭⣥⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤
⣿⣿⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤
⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⢀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠘⠁
⠀⠰⣄⠀⠀⠀⠀⣾⣡⣶⣾⠿⠿⠿⠛⠟⠛⣿⣿⠃⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⣽⠒⠚⢿⣿⠏⠙⠉⠁⠒⠶⢮⣷⡶⠿⠟⠃⠀⢀⠀⠀⢸⣿⣿⣷⣼⠠⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠻⠛⢟⡛⠛⠲⣆⣤⣾⠟⠁
⠀⠐⠃⠀⠀⣰⠶⢀⣀⣤⣴⣤⣤⣤⠜⠀⠀⠀⠀⠀⠈⢷⢆⣤⡽⣿⠿⢽⣒⠧⠀⠀⠀⠀⠀⡠⠖⠛⢽⣦⣀⡀⠀⡉⠹⢭⣿⣿⠁
⠀⠀⠀⠄⠊⠀⠀⠀⠀⠁⠉⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠙⣟⣛⣿⠟⠉⡀⠀⠀⠀⠊⠁⠀⠀⠀⠀⠈⠉⠻⢿⣷⠀⠈⢿⣿⠀⢀⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⢀⡴⠋⡿⠛⠛⠻⠟⠚⠉⠉⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠈⠛⠀⣼⡇
⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⡀⠀⠀⠀⠀⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠹⠃⠀⠀⠀⠀⣿⢿⡀
⠀⠀⠹⣦⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣶⣶⣶⣶⣦⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠨⣬⠻⡕⠑⠆⢠⡀⠀⢀⣾⠷⠀⠀⠀⠀⠀⠀⣄⡬⠕⢺⣷⣄
⠀⠀⠀⢸⣷⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⠿⠯⠿⢿⠷⠀⠀⠀⠀⠀⠀⣹⡇⠻⣿⣿⣿⣿⣷⣦⣀⣀⣠⣤⣶⣶⣶⠞⠫⠄⠀⠀⠈⠙⠢
⠀⠀⠀⣸⡟⠉⠉⠉⢙⣿⣿⣿⣿⣿⠿⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠦⢶⣎⡉⠉⠉⣝⣿⣿⣷⣼⣿⣿⠟⠁
⠀⠀⠐⠋⠀⠀⠀⣀⠤⠚⠋⠉⠁⠀⠀⠀⠀⠀⠒⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⠀⠛⢛⣿⣯⡍⠀⠒⠋
⠀⠀⠀⠀⠀⠀⠈⠁⠀⣼⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠃⠀⠀⠀⠀⠀⠀⠀⠀⢿⡛⠲⣶⣶⣄⠀⠀⠀⢀⡀
⠀⠀⠀⠀⢀⣀⣤⣶⣾⣷⣦⣤⣤⠴⢿⠁⠀⠀⠀⠀⢷⣄⠀⠀⠀⣠⣶⣶⣶⣦⠀⠀⠀⢀⠀⠀⠀⠘⠋⠂⣀⢉⠙⢲⣶⣤⣸⡇
⠀⠀⠀⠀⣆⠛⢿⣿⣿⣶⣿⡿⠁⠈⢿⡄⠀⠀⠀⠀⠈⢿⣦⡀⣼⡿⢻⠛⠉⠋⠒⠤⠤⠍⠁⠀⠀⠀⢠⣯⣾⣿⣿⠗⠉⠛⠿⣷⣀⡏
⠀⠀⠀⠀⠁⢀⣈⣉⣠⡈⠷⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠮⣲⡋⠁⢀⠀⠀⠀⠤⠴⢤⡀⠀⠀⠀⠀⠸⣋⣁⣀⣀⣀⡔⠀⠀⣿⣧⡀
⠀⠀⢀⠴⠖⠀⠛⠉⠘⡀⠀⠉⠉⠑⠒⠦⠄⠀⠀⠒⢀⣿⠏⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠉⠛⠿⣭⠁⠀⠐⠋⠀⠈⠉⠙⠒⠤
⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⣿⣿⠿⠿⠿⠛⠿⢿⠿⢿⡿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⣤⣤⣄⣀⣀⣀⡀
⠀⠀⠛⠉⠛⠛⠿⣯⣿⣿⣷⠠⣄⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡆
⠀⠀⠀⠰⣶⣶⣶⣦⣄⡙⢿⣤⣀⣀⠀⢨⢷⡀⢀⢴⣯⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁
⠀⠀⠀⠀⠈⢻⣿⣉⠋⠉⠀⠈⠋⣿⠿⠿⣾⣿⣾⠁⠈⠛⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡟
⠀⠀⠀⠀⠀⠀⠛⢿⣶⣤⢄⣀⣀⠀⠀⠐⣿⣿⣿⣶⣶⣰⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣷⣦⣄⠀⠈⠙⢿⣯⣝⡻⢿⣿⣿⣦⣧⣀⡀⣀⣶⣄⣀⣀⣸⠿⣿⣿⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣶⣁⠀⠉⢻⣿⣶⣿⣿⣿⣿⣿⠟⠋⠉⠁⠉⠉⠀⠲⣿⣿⣿⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡏⠉⠉⠉⠛⠛⠛⠻⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢷⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⠈⠌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠀⠀⢀⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀⡠⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣶⣶⣶⣶⣿⣿⣿⣻⣿⣟⣛⣭⣭⣭⣉⠘⠛⠓⠒⠄⣠⣏⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⡜⠁⠀⠀⡰⠁
⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣷⣦⣤⣭⣭⣉⣹⣒⡒⠒⠒⠒⠒⠃⠓⠒⠚⠀⠀⠀⢰⡁
⠀⠀⠀⢈⠉⠉⠙⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⡶⣤⣤⡀⡈⣇
⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠉⠉⢉⣛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠉⠻⢿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣶⡶⠟⠋⠁⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠛⠛⠛⠛⠛⠛⢛⠻⠿⠿⣿⣷⡄⠀⠀⠀⠀⠀⠙⢿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠣⣍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣥⣀⡀⠀⠀⢀⣀⠤⠔⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠢⠤⠄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠙⣻⣿⣿⣿⣿⣶⣍
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠠⠙⠉⠉⠉⠉⠉⠁⠀⠀⠈⠛⢿⣿⣿⣿⣷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠆

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣾⣿⡀⠀⠀⠀⠀⠀⢀⣴⡿⠁
⠀⠀⠀⠀⠀⢠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣴⣦⣿⣿
⠀⠀⠀⠀⠀⠀⠀⣈⡉⠍⠛⠻⣿⣿⣿⣿⡿⠿⠿⠿⠿⣿⡟⠉⠙⢿⡆⠀⠀⠀⠀⠀⠀⣀⡀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠦

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⣧
⠀⢀⡀⢄⣠⣤⣶⣖⣒⢒⣒⡖⡀⠀⣀⢀⠀⣤⣤⠤⠤⠤⠞⠁⠀⠀⢸⡄
⠀⢸⣾⠛⠛⠛⠛⠛⠛⠻⠿⠶⠿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣄⡙⠠⣷⡀
⠀⠀⢿⠀⠀⠀⠀⠀⣀⠤⠤⠤⣤⣈⡛⠻⣿⣿⣿⣿⡂⠈⠻⢿⣿⣿⣷⣦⣍⠢⡀⠀⠀⠀⠀⠠⢀
⠀⠀⠈⢧⡀⢠⡜⠋⡡⣖⢮⣳⣰⣽⣿⣷⣌⠙⠻⣿⡙⣧⠀⡀⠉⠙⠿⣿⣿⣿⣦⡀⢄⠀⠀⠀⣧⣷
⠀⠀⠀⠀⠱⣜⢆⣨⣱⣾⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠁⢸⣇⣿⣷⣶⣦⣀⣘⡛⢿⣿⣦⣳⣀⡼⠋⡘
⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⡿⠟⢭⣹⡾⢃⡄⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⢿⣿⡟⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡻⡅⣂⠭⢚⣩⣾⠏⢀⣠⡄⠘⠻⣧⣄⡀⠑⠿⣿⣿⠿⠿⣿⡟⢟⢻⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣖⣫⡴⠾⠿⣿⣿⡿⡿⠛⠙⠒⠒⠚⠛⠛⠷⢤⣈⠙⠳⢤⣀⠀⠈⠢⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠢⢌⣙⠲⠤⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⠯⠷⢦⠄

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠠⠀⢦⡀⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣊⡽⣸⠟⣥⣾⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣦⠀⠀⠀⠔⠺⣿⠯⢿⣽⣶⣿⣿⣿⣿⣿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣷⡶⢼⠷⣤⣤⣤⣿⣿⠟⣉⣿⣿⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢿⣿⣧⡽⠛⢯⣩⣿⣿⣿⣿⣿⣿⣿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣻⡿⡯⣿⣟⢉⣳⣾⣿⣿⣾⣿⠟⠁
⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⢀⢀⣀⣦⣽⣴⣶⣷⣿⣯⣿⣿⣿⣿⣿⣿⣅
⠀⠀⠀⠀⠀⠀⠀⠠⠼⢧⡶⡖⢛⣛⣿⣻⣛⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣷⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣊⣿⣾⣿⣿⣿⡿⠿⠛⠛⠉⠀⠀⠀⠈⠉⠉⠛⣿⣿⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⡟⠙⠁⠀⠀⠈⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣧
⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡟⠁
⠀⠀⠀⠀⠀⠀⠀⠰⠟⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢈⣍⠉⠉⢉⡉⣉⡝⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢁⠉⠁⠀⠄⠌⠙
⠀⠀⠀⠀⠀⠀⠀⡠⢊⠄⠈⠀⠀⡀⢈⠢
⠀⠀⠀⠀⠀⢀⠞⡠⠀⠀⠀⠀⢐⡌⠈
⠀⢀⣾⣿⣿⣿⣿⡀⢀⠄⠀⡁⠁
⠀⣸⣿⡿⠻⠛⢋⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡇
⣆⡿⠉⠀⢀⠤⣟⠿⠛⠋⠁⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣯
⣏⠁⠀⠀⡌⠫⠉⠀⠀⠛⠃⢡⠄⣾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡟
⡍⣿⣾⡧⠀⠀⠀⠀⠀⠀⠀⠈⢾⣿⣧⢀⠀⠐⠀⠀⠀⠀⡀⠀⠀⠀⠀⢀⣼⣿⣿⣾⡿
⡇⣿⣿⣶⣶⡆⣠⣀⡀⠀⠀⠀⠀⢹⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠹⣿⣿⣿⠃
⠃⠈⣿⣿⣿⣿⣿⣿⡿⢿⣦⡀⠀⠈⢿⣷⣜⣦⣾⣮⡀⣀⣰⡀⢀⠀⠀⠀⠀⠈⠙⠻⠆
⠀⠀⢾⠻⣿⣿⣿⠋⢀⣾⣿⣿⣄⠀⠈⢿⣿⣿⣿⣿⣷⣭⣿⣷⣿⣷⣶⡇⠀⠀⠀⠀⠀⠀⠁⠂⣄
⠀⠀⢸⣇⣌⣿⣿⠀⢸⡿⣿⣿⣿⣇⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣯⣶⣆⡘⠋⠂⣿⣉⡀⢉⠁
⠀⠀⠀⠣⣿⠏⣿⡄⢸⣇⣿⣿⣿⣿⡀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣽⣷⣿⣿⣿⣂⡀⣀⣀⠂⡀
⠀⠀⠀⣸⡿⠀⣿⡏⢶⡿⣿⣿⣿⡿⠁⠀⠀⠙⢻⣿⣿⣿⣿⣿⣿⡟⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠞⠋⢉⠛⣿⣄
⠀⠀⠐⣏⣉⠾⣿⣿⡶⡷⢻⣻⠟⠀⠀⠀⠀⠀⡀⢀⣼⢿⣿⣿⣿⢠⣼⢻⣿⣿⣿⣿⣿⣿⣿⠿⢟⣤⣀⡆⠀⢠⠝⢣⡀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⣶⡶
⠀⠀⠈⢻⣿⣷⣾⣽⣾⠷⠟⢁⣠⣤⣴⣶⣧⣶⠟⢀⣠⣰⣾⣿⡣⢺⣇⣿⣿⣿⣿⣿⡟⢉⣀⠴⠦⣶⣄⢡⣀⢃⣨⡨⠛⣶⣄⣠⣶⢿⣿⣿⣿⣿⠟⠋
⠀⠀⠀⠀⠈⠉⠛⠓⠲⠶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣀⣘⣿⣿⣿⣿⣯⠙⠻⡀⠀⠀⠀⠱⠀⠉⠀⠈⠉⠓⢿⣽⣿⣿⣟⣼⡟⣿⡟⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠈⢻⡏⠀⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣿⣿⣿⣿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣆⡠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⡏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣽⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣄

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠆
⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⡤⠀⠛⠛⠻⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣺⡟⠁
⠀⠀⣀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣤⣤⣠⣤⡀⠀⠀⠀⣠⣾⣷⠏
⠀⠈⠉⠉⠩⠋⠙⠙⢿⣿⣿⣷⣤⣰⣦⣤⣤⣤⣬⣿⣿⣿⣿⡿⡿⠿⠟⠛⢛⡛⠛⠛⠛⡻⣿⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⢹⣶⠍⠉⠁⠀⠀⠁⠀⠅⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣴⣶⣶⣶⣶⣾⣿⣿⣿⠿⠿⠶⣦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⣾⡋⠉⢻⣿⣿⡿⠿⠛⠛⠉⠉⠀⠀⠙⠀⠀⠀⢸⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⣀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⡷⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡴⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⣶⢆⣴⣾⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⣀⣀⡤⢤⡶⠶⣤⣤⡀⠀⠀⠀⠐⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣵⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⢀⡔⣨⣡⣾⣴⣿⣡⣾⢃⣠⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⣠⣶⡿⠻⠞⠹⠯⠿⣅⡛⢱⢿⣿⣧⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠻⣿⠟⠁⠀⠀⠀⠀⣴⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠈⠣⢉⡽⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⢿⣿⡧⢧⣀⠀⠀⠀⠀⠊⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣧⣙⣅⠀⠈⠓
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣝⠻⡁⠈⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡏⠉⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⡏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣷⣄
⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣷⣄
⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⠛⠿⢿⣿⣿⣿⣿⣿⣦
⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡿⠟⠋⠻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠉⠛⠿⣿⣇⠀⠀⠀⠀⠀⠀⣀⡤
⠀⠀⠀⢠⣾⣿⣿⡿⠟⠉⠀⠀⠀⠀⠈⠙⢷⡀⠀⠀⠀⠀⠀⠀⠸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⢀⣠⣶⡿⠋
⠀⠀⢠⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⠀⠀⠀⠀⠀⠀⢿⣿⣿⣶⣤⣤⡤⠀⠀⠀⠀⣠⣶⣿⡿⠋
⠀⠠⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣷⣤⣠⣴⣾⣿⣿⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣸⡟⠁⠉⠛⠿⣿⣿⣿⣿⡿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠘⢿⣿⣿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠇

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢠⣤⣤⣄⣀⡀⠀⠀⢀⠀⠀⠀⠀⢀⡀⠄⠀⢀⣶⣆⣨⣭⣤⣚⣤⡶⠿⠛⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠘⢻⢿⣿⣿⣿⣿⣷⠶⠎⠛⠋⢉⣰⣾⣿⣿⣿⣿⣿⡿⠟⠛⠛⠃⠀⠀⠀⠀⠀⡠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⣻⡾⢛⣩⣵⣶⣶⣷⣿⣿⣿⣿⢻⡿⣿⠟⠉⠉⣡⣤⠴⣶⢶⣶⣦⣤⠀⡞⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠋⢁⣶⣿⣿⣿⣿⣿⣿⣿⣹⣗⢻⠈⠇⠀⠀⠀⠋⠁⠉⠀⠀⠀⢪⡙⡿⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣠⣤⠾⠟⠛⠛⠉⠉⠉⠉⠉⠉⠁⠰⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣠⣴⠟⠋⠁⢀⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠔⠉
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢠⣿⣿⣿⣿⢛⣿⠟⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠒⠚⠉
⠀⠀⠀⠀⠀⠀⠀⠠⠀⣠⣿⡿⣿⣯⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠒⡟⠁
⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣟⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⡠⠔⠊⠉⡇⠀⠐
⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⡿⠁⠀⠀⠀⠀⢀⠤⠂⠁⠀⠀⠀⠐⠀⠀⠀⢀⠄
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃
⠀⠀⠀⠀⠀⠀⠐⠸⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋
⠀⠀⠀⠀⠀⠀⠀⢣⠸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠋⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠑⡼⠀⠀⠄⠀⠀⠀⠀⠈⠐⠲⠶⠿⠛⠀⣠⠊
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡁⠠⠐⠺⠿⣷⣶⣶⣶⡀⢀⣤⣤⡀⠀⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠊⠀⠙⣿⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃

⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⢀⠀⡀⢀⢀⠀⢀⠀⠀⠀⠀⠀⠀⢸⡷⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⡀⠦⢼⢸⢱⢸⡞⢰⡎⠀⠀⠀⠀⠀⠀⠀⡇⣾⣦
⠀⠀⠀⠠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠗⠀⠸⠈⠙⠸⠙⠸⠑⠀⠀⠀⠀⠀⠀⠀⡿⠃⠈⢃
⠀⠀⠀⠀⢹⡻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⣠⡧⠀⠀⠿⠄⠀⠀⢀⡀⠀⢀
⠀⠀⠀⠀⠀⢻⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠖⠊⠉⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⠀⠈⠉⠐⠂⠀⠄
⠀⠀⠀⠀⠀⠀⢣⠀⣦⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠒⣊⠉⠐⠂⠀⠀⠀⠀⠀⠀⠄⡀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠖⠀⠀⠀⠒⢠
⠀⠀⠀⠀⠀⠀⠈⠁⠀⠁⠐⠤⠤⠤⠤⠶⠀⠀⠈⠉⠉⠀⠀⠈⠁⠀⠀⠀⠀⠀⢀⠀⠄⡾⢰⠀⡇⡈⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠔⠁
⠀⠀⠀⠀⠀⠀⠀⣠⢠⢤⠘⠑⠒⠤⣄⣀⡀⠀⣀⣀⣀⣀⣀⣀⣀⣔⣀⡔⡆⠈⠀⠈⠀⠄⠐⠘⠇⠇⠀⠀⠀⠀⠀⠀⠉⠛⠿⠛⠂
⠀⠀⠀⠀⠀⠀⢠⠁⡲⠃⠀⠀⠀⠀⠟⠋⠉⠉⠓⢛⡿⠿⣿⣿⣛⣟⣛⡶⠁⠛⠃⣠⣶⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠊
⠀⠀⠀⠀⠀⢀⡾⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠎⠐⠂⣿⠟⠁⠀⠈⠀⠀⡠⠖⠛⠛⠛⠋⠋⠲⣿⣿⣿⡅
⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⢏⢿⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⢸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⠋

⠀⠀⠀⠀⠀⠀⢀⣀
⠀⠀⠀⠀⠀⠀⡤⠴⠈⠙⢗⣶⣄
⠀⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⠉⠚⢷⡦⢤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠙⢦⣄⠉⠲⢄⠀⣀
⠀⠀⠀⠀⠀⠀⠀⡔⠁⣴⣾⣷⣦⣤⠀⠀⠙⠛⢷⣦⣿⣧⣶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠿⡻⡠⠀⢀⠀⠀⢉⣿⣿⠙⢄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡭⠓⠈⠀⢁⡴⠃⠀⠀⠺⢻⣟⠀⠈⠣⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠦⠠⣈⠁⠀⡀⠀⠀⠀⣾⣿⣿⣷⣤⣱⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠁⠀⠀⠈⠙⢦⣿⣿⣤⡀⠈⢶⠈⠋⠙⠛⠓⠦⢄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⡠⠒⠉⠉⠁⠀⠉⠛⠷⣼⣤⣭⣭⣍⣽⠖⠂⠤⣀⠁⠠⡀
⠀⠀⠀⠀⠀⠀⠀⠀⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠙⣟⠋⠙⠆⠀⠀⠀⠈⠑⠛⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⣿⡄⠀⠀⠀⢀⣀⡤⠤⣤⣤⣤⣤⣤⣤⣄⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠛⣿⣿⣦⣤⣴⣶⣶⣶⣶⣶⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣶⣦⣤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⣨⠟⣫⣿⡿⠿⠛⣉⣩⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⡿⠿⣿⠇
⠀⠀⠀⠀⠀⠀⢀⠄⢀⠞⠁⢠⡞⢡⡾⠋⢁⢀⣿⣿⣿⠿⣋⣽⠿⠛⢉⣤⣶⣶⣶⣶⢤⣤⣀⠀⠞⠁
⠀⠀⠀⠀⠀⢠⠞⠀⠀⢀⢤⠏⠐⡉⢀⣦⣾⣿⠛⠋⠁⢉⡤⠔⠒⠀⠀⠀⠀⠙⠿⣿⡏⠉⠁
⠀⠀⠀⠀⢠⡏⠀⠀⣴⠁⠈⣰⡿⢷⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⣦⡤⠏
⠀⠀⠀⠀⡼⠀⢀⡞⠁⢀⣼⣋⣬⣿⠿⠓⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⡤⠶⠛⠉
⠀⠀⠀⠀⠇⠀⠈⠀⢀⣬⡿⢟⡩⠊⠀⠀⢀⣤⣀⣤⡭⢿⠿⡿⠿⠿⣄
⠀⠀⠀⠀⡄⠀⢀⣴⢟⡩⢶⡯⠀⠐⢾⠛⠉⠉⠁⠀⣀⠓⠲⢦⣀⠀⠘⣧
⠀⠀⠀⠀⢀⣴⠿⠚⠁⠀⢰⣵⣾⠙⣾⡄⣴⠃⠀⠈⠀⠀⠀⠊⠉⣑⢆⣸
⠀⠀⠀⠠⠟⢡⠀⠀⠀⠀⠀⠀⠙⢦⣸⣼⡇⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⢸⠀⢸⡀⢠⠀⠀⠀⠀⠈⢻⡇⠀⢣
⠀⠀⠀⠀⠀⠀⠀⠈⢇⠈⢧⣦⠀⢦⡀⠀⠻⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠣⠑⢄⠑⢄⡀⠈⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠐

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣆
⠀⠀⠀⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠋⠙⣧
⠀⠀⠀⢸⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠛⠁⠀⠀⠘⣧
⠀⠀⠀⠈⣿⣿⡀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⠴⠞⠛⠉⠀⠀⠀⠀⠀⠈⠉⠛⠛⠷⢶⣦⣄⡀
⠀⠀⠀⢸⣿⢸⣷⣤⣴⡿⠿⠿⠶⠒⣛⣛⣋⡭⢅⣀⣤⠖⢀⣤⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠍⠳⢦⣀
⠀⠀⠀⣼⣿⣌⠛⠛⠛⠻⠿⠿⠿⠭⠿⠶⢶⣿⣿⣿⠏⢠⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⠀⠠⠬⠷⣦⣄⡀
⠀⠀⣼⣿⡿⠋⠛⠶⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠿⡟⠀⡿⠁⠀⠀⠀⡴⢠⠄⠀⠀⠐⠶⣶⣗⠋⠑⠉⠁⠀⠀⠀⠀⠒⠪⢝⡛⠶⣤⣀
⢠⠾⠟⠉⠀⠀⠀⠐⠶⠛⠛⠓⠶⢤⣀⡀⠀⠀⠀⠇⠘⠃⠀⠀⠀⢸⠃⡏⠀⠀⠀⠀⠉⠓⢺⣿⣔⣀⣀⡀⠀⢀⣀⣀⡀⠀⠈⠓⠈⠹⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠈⠋⠀⠈⢉⠛⠛⠛⠛⡛⢿⡿⠶⣶⣶⣿⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢛⣿⣿⠟⠀⣠⣶⠀⠀⠀⠀⠀⠀⠈⠳⢶⣶⡱⠎⢦⢦⣤⣤⣭⣤⣤⡴⠖⠊⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠿⢋⣠⣴⠞⠻⠷⣤⣄⣀⣀⠀⠀⠀⠀⠀⠈⠉⠒⠒⠢⠤⠤⣴⣶⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣛⣭⠴⠞⠋⠉⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠒⠲⠶⠶⠶⠶⠒⠛⠛⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣧⠀⠀⠀⠀⠀⠀⠁⠀⠀⣀⠀⠠⠄⠀⠒
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⠒⢤⠄⠀⠀⠀⣿⣿⣿⣇⠀⠀⠀⠀⠈⠀⠀⠀⠈⠁⠀⠠⡴⠄
⠀⠀⠀⠀⠀⠀⢀⣠⠆⠀⠀⠀⣀⣴⠁⠀⠀⠀⠀⣿⣿⣿⣿⡆⠀⢀⣀
⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⠈⠙⠋⠁⠀⠀⠀⠀⠼⠟⠛⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣀⣤⣀⠀⣤⣶⣧⣿⣿⣿⣶⠀⣀⣤⣤⣶⣶⣾⣶⣦⣴⣄⡁⣂⠀⠠⠄
⠀⠀⠀⠀⠀⢘⣳⣴⣴⣶⣿⣿⣿⣿⣿⣏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣷⣷
⠀⠀⠀⣴⠟⠛⠙⠋⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⠿⣿⣿⣿⠿⠟⠛⢉⣩⣤⣈⣉⣡⣤⣵⣾⣿⣿⠿⠃
⠀⠀⠀⠸⢿⡿⠿⠿⢿⣿⣿⣿⣿⣥⣶⡾⠟⣋⣭⣽⣿⣦⠀⠀⠀⠉⠀⠀⠀⠀⠁⠀⠈⠙⠛⣿⢻⢿⡻⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠁⠀⢈⣉⠥⠶⠚⠍⣁⣀⣖⢂⣀⡀⠀⣀⠀⠀⠀⣀⣠⣤⣀⣀⣂⣾⡿⠶⠃
⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠒⠊⠉⢐⠒⠠⣀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠓⠒⠛⠛⠛⠻⠿⠛⠛⣷⡄
⠀⠀⠐⠐⠒⠚⠋⠁⠀⠀⡔⠀⠺⠗⠀⠀⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠈⢻⡀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣧⠤⠤⢤⡀⡆⡀⠀⣤⣶⣴⣶⣿⣷⣶⡄⠀⠀⠀⠀⠰⠐⠲⠤⠀⠀⠳⣬⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠃⠈⠛⠿⢿⣟⣿⣶⢾⣿⣯⡿⠿⢿⡿⠿⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⠿⠛⠁

⢠⡾⠛⠛⠻⠿⣿⣿⣶⠶⠶⠤⣤⣤⣄⣀⡀
⣼⠁⠀⠀⠀⠀⠀⠈⠉⠛⠶⣄⠀⠀⠀⠉⠙⠛⠶⣤⣀
⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⢀⣠⣍⠛⠶⣤⣀
⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡙⢷⡀⠀⢰⣿⡷⢾⡄⠀⠀⠉⠛⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠶⢦⡄
⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠻⣆⠘⣿⠷⠾⠃⠀⠀⠀⠀⠀⠈⠛⢦⣄⠀⠀⠀⢀⡴⠋⠁⠀⣴⠋
⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣤⣠⠟⠁⠀⠀⢸⡇
⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⡀⠀⠀⢸⠃
⠀⠀⠀⠹⣆⠀⠀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⣿
⠀⠀⠀⠀⢻⣤⣾⣿⠟⢶⢻⡶⠻⣴⢷⡼⢧⣽⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧
⠀⠀⠀⠀⠈⣯⠙⠛⠛⠛⠛⠛⠛⠛⠒⠒⠚⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄
⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆
⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆
⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠈⣷
⠀⠀⠀⠀⠀⣀⠀⠀⠀⢀⣨⡿⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀⢻
⠀⠀⠀⠀⠀⡿⣦⣤⠶⠋⠁⠀⠀⠈⠛⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠙⠶⣼⣆
⠀⠀⠀⢀⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠶⠦⠄⠉⠛⠶⣤⣀
⠀⢀⣴⠋⠁⠀⠀⠀⠀⠀⠀⢀⣀⣤⡴⠶⠶⠒⠒⠒⠶⠶⠿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⢦⣄⡀
⠀⣾⠁⠀⠀⠀⠀⣀⣤⠶⠞⢿⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠉⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⢶⡶⠦⣤⣤⣀⣀⠀⠀⠀⠀⠈⠙⠳⢦⣄
⠀⢿⣤⣤⡴⠞⣿⠉⠀⠀⠀⠈⢻⡄⠀⠀⠀⠀⠀⠀⠀⣠⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢀⡴⠟⠀⠀⠀⠀⠈⠉⠙⠛⠶⢦⣤⣀⡀⠀⠈⠛⢦
⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⣠⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠳⠶⠾
⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠙⠳⠞⠛⠉⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣀⣠⣤⠶⠛⠉
⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣼⣆⣴⡿⠴⠶⢶⡆⢉⡿⠋⠁
⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣠⡶⠛⠉⠉⠀⠈⠛⠁⠀⠀⠀⢸⠟⠋
⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⣰⠏
⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⣰⠏
⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢀⣼⠃
⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⣠⠞⠁⢀⠄⢐⢠⡀⡄⢠⢀⣄⡠⣀⡤⣀⣤⡤⣀⠄⡖⢀⡤⡄⢠⣀⡄⡤⠀⡠⢀⢤⣠⢤⢤⠀⠀⡀⠀⠀⢒⢤⢲⠀⡆⠐⡆
⠀⠀⠀⠀⠀⠀⢸⣇⡴⠟⠁⠀⠀⠈⠁⠈⠉⠁⠉⠈⠉⠀⠁⠁⠁⠉⠀⠁⠉⠁⠉⠉⠃⠉⠉⠉⠀⠁⠀⠑⠈⠈⠈⠈⠈⠀⠀⠀⠀⠀⠋⠈⠉⠀⠁⠀⠁
⠀⠀⠀⠀⠀⣴⠟⠋

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠁⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⣸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣟⠒⠂⠀⠀⠀⢀⠀⠀⠀⠀⡀⠉⣉⠑⢤⢤⣿⣧
⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠲⠊⢀⣠⡶⠀⠀⠀⠈⠛⢦
⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⠀⠀⢀⠀⠀⠀⠀⠀⠀⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣷⣄⣉⢀⣀⢀⣠⠠⣤⢤⣤⣈⡓⠄⠰⠀⠀⠀⠀⠀⢄
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⠫⣿⠲⡮⣹⠣⣽⡑⣿⣺⠿⠿⢿⡆⠀⠆⢀⢠⠀⠀⠈⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⣽⣳⣼⠱⠶⠙⣓⣯⠕⠈⠀⠀⠀⠀⠹⠀⠀⠚⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣵⣾⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣿⣯⣅⡢⢭⣉⢿⣿⣿⣿⣶⣤⣀⣀⣀⣀⣠⣴⣿⣷⣦⣄⣀
⠀⠀⠀⠀⠀⢀⠔⣡⣾⡽⠟⠉⠉⠀⠐⠚⠛⠛⠓⠲⢶⣿⣭⣭⣭⣿⣿⣿⣿⣿⠿⠿⠿⣻⣿⣶⣤⣀
⠀⠀⠀⠀⢐⣵⡿⠟⡉⠀⠤⠄⠖⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢝⠻⣿⣿⣿⣇⠀⠀⠀⠀⠉⠉⠛⠳⠥⡀
⠀⠀⠀⠾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡸⣿⣿⣿⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠈⠑⠓
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠠⠀⠀⠂⡀⠙⢇⣿⣿⣿⡇⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠚⠁⣠⣾⣿⡇⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⣆⣀⣠⡴⠞⠛⠻⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⣾⡿⠉⠀⠀⠀⠘⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠾⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠒⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠰⠆⠠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣅⣾⠛⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⠻⠏⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠣⣾⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠂⠀⠀⠀⣠⠔⠋⣹⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⢀⣴⣿⣿⣗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠂⢡⢾⠉⠉⢁⣲⣿⣿⣿⣿⢿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠠⠦⣔⡏⠀⠀⠈⢛⣿⣿⣿⣿⣾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⣱⣽⠃⠀⠀⠀⣾⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠐⠀⠐⠀⠀⠀⢰⣶⣿⠃⠀⠀⠀⢸⡿⠿⢿⣿⡿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⡗⠒⡖⠀⠀⠀⠀⠀⢀⢨⠟⠁⠀⠀⣀⣐⣺⣿⣶⣿⣿⢻⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠉⢿⣿⣿⣶⣤⣄⣠⡾⠋⠀⠀⠀⠰⢠⣿⣿⣿⣿⣿⡟⣼
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡗⠀⣜⢿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣧⡟⠀⠐⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠈⠫⠿⣿⠁⠀⠀⠀⠀⢀⢢⣷⣿⣿⣿⣿⣿⣿⡿⣛⠁⠉⠉⠁
⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⣿⣿⡂⠀⣴⠃⠀⠀⠀⠀⣤⣾⣼⣿⣿⣿⣿⣿⡿⢫⠾⠛⠈⢀⡄⠀⠂⢀⠀⠀⠀⠀⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⡟⡿⠀⠀⣿⠀⠀⢀⣰⣴⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢀⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠌⠣⢀⣀⠀⠈⠂⢀⣾⣿⣿⣿⣿⡿⢟⣛⡳⣿⠃⠀⣰⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡁⠀⠀⠀⣾⠟⠋⠙⢿⡿⢐⣛⣻⣏⣼⠀⢠⡿⠟⠛⡄⠀⠀⠐⠀⠀⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⢻⠀⢀⣐⡄⢠⣿⣷⠀⣇⠚⣽⢿⣿⣿⡄⠈⠃⢾⡷⠀⣴⠖⠀⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⢪⣾⣿⣧⠈⠋⠁⣀⣜⣦⡻⠟⡫⠤⠀⠀⠀⡀⡀⣄⣿⣄⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣄⠐⠙⢿⣦⣽⣿⣿⣷⣦⣤⣈⠻⠿⠇⣈⣡⣤⣶⣦⣄⣘⢿⣿⣿⣿⣿⣤⡶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢰⠦⣝⣿⣿⣿⣿⣽⣿⣿⣿⡟⠛⢉⣁⣤⣿⣿⣿⣿⣿⠋⠛⠛⠋⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠾⠿⠿⠿⠿⠛⠋⠁⠀⠀⠀⠛⠛⠛⠛⠿⠯⠉
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤
⣿⣿⣤⣤⣤⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿