Hot spring Emojis & Symbols

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇
⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠒
⠀⠀⠀⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠋
⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃
⠀⠀⠀⠘⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿
⠀⠀⠀⠀⠈⠻⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠁⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣷⡀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⢀⣠⣄⣀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⣼⣿⣿⣿⣿⣧⠀⠀⠀⠠⠶⠛⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⣠⣴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣻⣿⣿⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄
⠀⠀⠀⠀⣼⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣷
⠀⠀⠀⠀⠻⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠂⠀⠀⠀⢀⣀⣤⣾⣿⣿⡟
⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣿⣿⣿⣿⡿⠟⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠛⠛⠋⠉

⠀⠀⠀⠀⠀⠀⠀⢠⣄⣤⣀⣤⣠⣄⣠⣄⣀⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣄⡀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣆
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠿⠿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⢸⣿⠟⠙⣿⣿⣿⣿⠋⠉⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⢟⣥⣤⣤⣙⢿⡟
⠀⠀⠀⠀⠀⠀⠀⢸⣿⠓⠆⢿⣿⣿⡟⠒⠚⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣷⡀
⠀⠀⠀⠀⠀⠀⠀⢸⣏⣠⣠⣸⡏⣿⣿⣰⣄⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⠿⠿⠿⠿⠿⠿⠿⠆
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⠿⠿⠷⠘⣿⣿⡿⠿⠇⠀⠀⢀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⢄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠈⠐⠄⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠢⠈⠐
⠀⠀⠀⠀⠀⠀⣴⠆⠠⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⡿⢀⡀
⠀⠀⠀⠀⠀⣠⡆⠀⠀⢰⣄⠀⠀⠀⠀⢠⠒⠀⠐⢣⣄⣀⣠⣤⣴⣶⢹⣿⣿⣿⣿⣿⢱⣮⣤⣀⣴⣄⣀⠈⣢
⠀⠀⠀⠀⠀⠈⠉⢶⡶⠈⠉⠀⠀⠀⡔⠈⢉⣁⣺⠟⠛⠋⠉⠀⠀⢰⡿⠟⠛⠛⠻⢿⡇⠀⠀⠉⠉⠙⠛⣯⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡟⠋⠉⠉⠁⠀⠐⠇⠐⠀⠈⠃⠀⠀⠀⠀⠈⠃⠀⠐⠀⠇⠠⠀⠀⣈⡙⠁
⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⠀⠀⠀⠀⠀⠻⠶⣶⣴⡾⠧⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⠌⠉⠁
⠀⠀⠀⠀⠀⢠⣌⣛⣛⣿⣤
⠀⠀⠀⠀⠀⣈⡛⠿⠿⣏⣭⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣤⣄⣀⣀⣀
⠀⠀⠀⠀⠺⣿⣿⣿⣿⣿⡿⡿⠀⠀⠀⢀⣀⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⢴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛
⠀⠀⠀⠀⠀⠈⠉⠉⠋⠉⠁⠀⠀⠀⠀⡚⠭⠫⠿⡿⡅⠤⠶⡄⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣍⣉⣹⣿⣿⣿⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⢿⣾⣶⣶⣶⣶⢻⣷⡀⠀⠀⠀⠀⢀⣿⣿⣿⡟⠛⠛⠻⣿⣿⣿⣿⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠲⠤⠤⠤⠤⠄⠾⠿⠟⠷⠄⠀⠀⠘⠻⠛⠁⠀⠀⠀⠀⣿⣿⠟⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠠⠴⢆⣙⠁⠁⠀⠑
⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠴⠋⠀⠀⠐⠲⢢⣐⠦⠁⠐⠂⠀⠰⢠⣀
⠸⠟⣩⡤⠬⡃⠀⣻⠴⡦⠐⣠⠀⠻⠠⠈⠀⣁⡳⠐⠠⠀⡀⠀⠀⠄⠀⢀⣀⣉⠂
⠀⠸⡛⠝⡒⢛⡛⣹⢖⣠⣿⠗⣓⣒⣢⣗⣽⣧⣖⣜⠁⠀⠀⠀⠀⠀⣀⡜⠉⠉
⢀⣨⠴⢩⣭⣯⣟⣑⠫⠏⠗⠌⡁⢉⠛⠛⠛⡿⢿⢿⣟⡶⣶⣦⠞⢠⡔⠰⠂⠀⠀⠀⡇⠂⠀⠀⠀⠀⠀⠀⠀⠈⠁
⢠⠖⠂⠶⠟⢁⠈⠁⠀⠀⠐⠃⠀⠐⡐⠄⠀⡴⢽⡶⠾⢻⡏⠀⠐⠘⠃
⢠⡀⠀⠀⡀⠀⠀⡀⢀⠀⢀⡠⠀⢢⠐⢀⣠⠔⠒⠓⡀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀
⠈⠂⠘⠛⠧⢌⣓⠜⠿⣷⣋⠀⡈⠉⠚⣇⠉⣀⡛⠉⠁⣀⣠⠴⠊⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠤⣟⡑⠶⢶⣦⣀⣄
⢠⣤⣤⣤⣆⣬⣅⡠⢤⡰⢺⣟⣿⠠⠖⣉⠗⠁⠀⠀⠀⠀⠀⠐⠀⠛⠁⠀⠀⣀⣠⣶⣄⠙⠛⠁⠉⠁⠀⡀⠓⢲⡿
⢸⣿⣿⠒⠉⠈⠉⠉⠉⠛⠟⠛⠉⠁⠲⠆⠀⠀⠀⠀⠀⠐⠀⠀⢀⢤⣀⢩⡟⠛⠋⠁⠀⠂⢀⡀⠈⠉⠀⠙⠻⣿⡙
⣸⡟⠁⠀⠀⡀⠀⠀⠀⢠⠀⠠⡀⢄⠀⠀⠀⠀⠀⠀⢠⣤⣸⣧⣠⣾⣭⣠⣰⢿⣶⣶⣶⣿⡿⢦⠖⢠⠀⡀⠸⠊⠋
⣼⣦⣶⠐⢿⣷⣀⣾⣼⣻⣴⣗⣽⣶⣦⣀⣶⣶⣿⣧⣾⢿⣯⣠⡤⡈⢀⠄⠀⠐⢃⣀⠁⠁⢀⣿⣷⣦⣀⠤⠀⠀⢰
⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠁⠈⠉⠁⠉⠁⠉⠀⠀⠀⠉⠉⠉⠀⠁⠀⠁⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠀⠀⠤⠐⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠢⢄⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂
⠀⠀⠀⠀⠀⠀⠀⣀⠤⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠂
⠀⠀⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡄
⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⢀⠀⠰⠈
⠀⠀⠀⠀⠀⠀⠀⠑⠢⠤⠰⠄⣀⡀⠠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠒⠒⠂⠀⠀⠀⠐⠀⠀⠂⠀⠀⠀⠦⡀⠀⠀⠄⠀⠀⠐⠂⠀⠂⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠠⣀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⢀⣩⣄⣀⣤⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠓⠠⢄⠈⠒⠤⡀⠤⠤⠐⢤⣴⣿⡿⠟⠻⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⢀⡀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢐⣀⢀⠀⠀⢼⡿⠋⠀⠀⠀⠈⠛⠛⠛⠻⣿⣿⣿⣦⠀⢀⡀⠀⠤⣀
⠀⠀⠀⠀⠀⢨⠐⢄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⠀⠀⠀⠀⠀⠀⠀⠂
⠀⠀⠀⠀⠀⠸⠀⡀⠗⠐⠀⠀⠀⠀⠀⠢⢆⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⢀⠀⠀⠀⠈⠁⢀⡀⠀⠀⠀⠀⠀⠄
⠀⠀⠀⠀⠀⡐⠋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⡀⠀⠨⠀⠀⠀⠉⠐⠀⠀⡀⠂
⠀⠀⠀⠀⠀⡇⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠠⠄⡘⠀⠀⠀⠀⠀⠀⠀⠀⠘
⠀⠀⠀⠀⠀⠣⡀⠀⢀⠄⠀⢀⣠⠔⠂⠉⠁⠀⠀⠉⠁⠐⢠⠔⠁⠀⠀⠀⠀⠀⠀⠀⠈⢀
⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⢀⠧⢀⠀⠀⠀⠀⠀⠀⠀⠀⢘⢀⣀⠀⠀⠀⠀⠀⠀⢀⠔⠀⡒⠀⠐⠂⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠐⢎⠀⠀⠈⠁⠒⠄⠀⠒⠊⠁⠘⡄⠀⠀⠀⠀⠀⠀⠀⠁⠄⢀⠒
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⡀⠀⠀⠰⠀⠀⠀⠀⢀⠜⠐⠀⠀⠀⠀⠠⠤⠐⠒⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠀⠀⠀⠂⠚⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡶⠤⢤⣤⣀⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⣫⡽⠛⠛⠛⠒⠶⠾⢭⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠙⠃⠀⠳⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣯⡖⠋⠁⠀⠀⠀⠀⠀⠀⠀⢸⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⢠⡞⢠⣤⣤⣤⣤⣴⣾⣶⣤⣤⣤⣤⡄⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠓⠦⠞⠀⠀⠻⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⠁⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣹
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣽⣿⣿⣿⣿⣿⣿⣍⡀⠀⠀⠀⣠⢴⠋⠉⢷⠴⣶⠶⣶⡟⠉⠉⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠖⠶⠋⠉⢳⡀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠸⡅⠀⠀⠀⠀⠀⣼⠀⣿⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠈⠙⡆⢠⣿⣿⣿⣿⠟⠿⣿⣿⣿⣿⣿⣿⣿⣆⠀⢧⣀⡀⠀⢀⣀⡞⠀⢸⣿⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠰⡇⠀⠀⠀⠀⢀⡏⠀⢸⣿⡿⠛⠁⠀⠀⠀⠉⠙⠛⠻⠿⣿⣿⠀⠀⠀⠑⠒⠋⠁⠀⠀⠈⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠧⠴⠋⠉⠀⠀⢸⡟⠁⠀⠈⠀⠀⠀⠀⠀⠈⠀⠀⠻⡿⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣿⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⡀⠀⠀⠈⠳⡄⠀⠈⠀⠀⠀⠀⠀⠈⠀⠀⡴⠃⠀⠀⠀⣤⣤⣾⣿⣿⣿⣿⣿⣿⣷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣦⡀⠀⠀⢳⠴⠦⡄⠐⠤⠔⠀⠀⠀⣼⣁⣀⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷
⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣷⠶⠒⡏⠀⠀⢹⣀⣀⣀⣠⣤⡞⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⢀⣷⢀⠡⠈⡇⠀⠀⠀⠀⠙⢶⣄⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷
⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⡍⠁⠀⠀⣠⡏⢹⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠙⣦⠀⠈⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟
⠀⠀⠀⠀⠀⠸⠿⠿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⢉⡟⠀⠀⠀⢸⡤⠴⠶⠶⠖⠚⠋⠉⠀⠀⠀⠀⠈⠉⠀⣼⠋⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⠛⠛⠋⠀⠀⠀⠀⠸⠥⠦⡴⠶⢤⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠶⠲⠶⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⢀⣠⠴⠒⠛⠛⠓⠶⣄⠀⠀⠀⠀⠀⠀⢀⣀⣀⣼⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⠶⠞⠋⠁⠀⠀⠀⠀⠀⠀⠙⠶⠖⠒⠒⠒⠚⠋⠀⠀⠁

⠀⠀⠀⡀⢀⣀⢀⣀⠀⣀⠀⢀⣀⣀⣀⣀⠀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⢀⣀
⠀⡇⠀⠁⣿⠉⡄⠋⢠⡏⠀⡈⠈⣋⠀⠁⠀⣧⠸⡄⠀⠀⠀⢀⣀⠀⣤⣤⣤⣜⠠⠦⠴⠴⢏⠁⠦⣄⠀⠀⠀⠉⠠⢀⣄⠠⡄⢀⡀⢀⡠⢄⠀⢺⠁⠀⡇⢸⣿
⠀⡇⠀⠀⡇⢸⢏⡦⠃⠁⡹⠁⠛⠠⠔⠀⠋⠈⠉⠑⠀⠒⠉⠈⠙⠻⠦⣤⣈⣠⡾⠷⠶⠦⣕⡀⠄⡀⠀⠈⠑⠂⠠⠘⠀⠀⠀⠀⠈⠀⠀⠀⠀⢸⠀⠀⡇⢸⣿
⠀⡅⠀⠀⡇⣼⢈⠓⠀⡰⠡⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⢉⠀⠤⠤⠤⠤⠐⠀⢄⠀⠀⠀⠀⠀⠀⢸⠀⠀⡀⢈⣽
⠀⡅⠀⡄⠁⢏⠂⠀⠰⡐⠁⢀⣀⣀⠀⣀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠢⢌⠢⢄⠀⠀⠀⢸⠀⠀⠁⠀⣿
⠀⠇⠀⠀⢧⠸⠀⢠⠓⡀⢋⡁⠀⠀⠀⠀⠀⠈⣻⠉⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠁⠀⠀⣈⣑⠔⠲⠒⠂⠬⠂⢌⠒⢄⣸⠀⠀⠒⠀⢻
⠀⡇⠀⢀⠀⠀⠀⣎⢀⠠⠙⠾⣱⠠⣦⣀⠴⠚⢀⡀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠆⣀⠴⠊⠁⠀⣉⢀⢠⡶⠃⠰⠄⠀⠑⠠⡻⣄⡀⠀⠀⣾
⠀⡆⠀⣸⡆⣆⢃⡨⠊⠁⠀⠀⠀⠁⠀⠁⠈⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣀⠈⠑⣤⡤⢤⡿⣀⠁⠠⠇⠀⠀⠀⣀⣀⣘⠢⡛⢂⠀⡟
⠀⡇⠀⢻⡇⠋⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠈⠐⠈⠀⠚⠡⠀⠀⠈⠁⠲⠉⠙⡁⠙⣷
⠀⡇⠀⣏⢃⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⢖⠢⣀⠀⠀⠀⠈⣢⠿
⠀⡇⠀⠋⢢⡇⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⡑⠆⠀⠀⠉⣷
⠀⣴⠀⠀⣼⡇⠀⠀⠀⡰⡐⢁⠀⠀⠀⠀⠀⡘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⣀⠀⠀⠀⠀⠀⠉⡖⠀⠀⠀⠟
⠀⡇⢀⣵⠏⣀⡀⠀⡤⢁⡭⠋⠤⠤⠀⠰⠣⠆⠠⠤⠄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠉⢷⣄⠀⢀⡀⠀⠇⠀⠀⠇⢸
⠀⣴⠼⠃⠀⡐⠄⢾⡀⠁⠀⠉⠌⠉⡠⢡⠃⠀⠀⠀⠀⠈⠁⠈⠉⠲⠶⠴⠖⠒⠒⠂⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠐⠊⠉⠐⢂⡠⣄⠘⣵⣈⢳⠀⠀⠀⢘⡀⢸
⠀⡏⠀⠗⠀⡃⢌⠃⠀⠀⠀⠀⠀⡴⢁⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠰⢆⠀⠀⠈⢷⣌⣬⡛⢸⠇⠀⠈⢣⣾
⠀⡇⠀⠀⡇⠟⣰⠂⠤⠤⠤⢤⠆⡠⠧⠀⠒⠒⠂⠀⠀⠤⢄⣀⣀⣀⣀⣀⣀⣀⠀⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⢀⠒⠛⣙⠛⡍⠁⠄⠐⠛⠓⢷⡈⢇⠀⠀⣼⣿
⠀⠇⠀⠀⡗⢠⠁⠀⠓⢠⠖⢁⡶⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠒⠀⠐⠂⠀⠈⠁⠀⠀⠀⠀⠀⠀⠐⠘⠀⠀⠀⠀⢀⠀⠘⣦⠱⣀⡟⠿
⠀⡇⠀⠃⢣⡎⠠⠤⠀⠌⣠⡁⠀⠀⠀⣀⡀⣤⡤⠤⠀⠀⠒⡠⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢦⡤⣤⣜⡁⠢⡀⠀⠀⠀⠀⠆⢡⠋⣶⠖
⠀⡅⠀⠀⢿⡇⠀⠀⠐⡐⠠⠄⢀⡠⡛⠚⠥⠀⠠⠀⠀⡀⢀⠀⠁⠈⠛⠠⠶⠒⠂⣀⢠⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⠱⣌⠢⡖⠒⠒⠇⠀⡄⠋⢰
⠀⠇⠀⠀⡀⡇⠀⠄⠰⠁⠀⡠⢈⠋⠀⠀⠀⠀⠈⠉⠉⠉⠁⠄⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠈⠉⠉⠩⣤⣄⣙⢶⣤⠦⣞⣉⣁⣀⣀⡀⠑⠮⠲⡙⠃⠀⢠⠀⣜
⠀⡆⠀⠀⠁⣇⠌⢠⢣⡴⠮⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⢀⣀⢀⣉⠀⠀⣀⣀⣀⠠⠤⢤⠈⢓⣬⠡⠟⠀⠀⠀⠉⠀⠐⠩⠒⡱⢎⠳⡀⠸⡆⣿
⠀⡇⠀⢸⡣⠋⢀⠔⠁⠀⠀⠀⣀⠄⡄⠀⠀⣀⡠⠠⠄⢀⡠⠐⠉⠀⠄⡀⣄⡁⠈⠉⢉⠀⠀⠊⠑⠀⠁⠈⠠⠈⠁⢰⠒⠒⢰⡆⡀⠊⠙⠈⠉⠁⣄⠑⢄⠻⣿
⠀⡇⢀⠜⠁⣤⣡⡤⠤⣀⡔⠊⣁⠄⡀⡁⡻⠤⠤⠠⠤⠞⠑⠁⡀⢀⠀⠀⠈⠀⠀⣸⠀⠑⠤⡀⠀⠀⢠⠁⠀⠤⡤⢀⡐⠀⠀⣿⣿⠀⠀⠀⢀⣼⠹⠣⠘⡦⣻
⠀⡟⠀⢠⡎⡥⢄⣤⠒⡤⠰⠒⠀⠒⠏⠀⠀⠀⠒⠒⠂⠊⠉⠀⢀⠤⠠⠐⠂⠄⠈⠀⠀⠀⠈⢱⡀⠠⠇⠀⡀⠀⠀⠉⠘⠷⣄⣘⣀⠀⠀⠔⠁⢀⠐⠀⢡⡌⣿
⠀⠆⠀⢻⠀⣁⣀⡀⠉⡱⠄⠄⠀⠀⠀⠰⠆⠀⠀⠋⠉⠆⠀⠀⠀⠀⠀⠠⠶⠘⠆⠀⠀⠀⠀⠀⠘⠋⠢⡜⠁⢀⡜⠀⠀⢀⠈⠻⡁⠄⢀⡦⠄⠀⠀⡀⠀⣿⣿
⠀⡟⠀⢠⡇⠡⢤⠀⠀⢀⠒⠀⠀⠉⡄⢀⠀⠤⠚⠀⠀⢂⣀⡀⠀⠀⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⢠⠇⠀⠀⠀⠀⢀⠀⠈⠈⢧⡄⠀⠀⠀⡄⠀⠿⠱
⠀⡇⠀⠀⡆⣤⢄⠁⠈⠁⠀⠑⣄⠀⢀⠸⠆⠋⠀⠀⠀⠀⠀⠉⡆⠀⠑⠤⣀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠂⠀⡍⠀⠀⠀⠐⠶⠾⣿⠐⣤⣀⠹⣆⠀⠀⡇⠀⠀⡇
⠀⡇⠀⢸⡇⡇⠀⠓⠀⡠⠴⠂⢄⠁⢘⠀⠀⠀⠀⠀⠀⠰⠖⠀⡀⠀⠀⠴⠋⠀⠀⠀⠀⠀⠀⡀⠀⠀⠘⢻⠀⠀⠀⠀⢀⠀⠀⡘⠀⡄⠙⣧⠈⠰⡀⠣⣀⠀⢡
⠀⡇⠀⢸⡇⡇⠀⢨⠎⠀⠀⠀⢈⣦⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠉⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠐⠈⠂⡐⢦⠀⠃⠀⢈⠣⠐⠀⠈⠃⠤⢂⡤⠗⣌⠳⣿
⠀⡇⠀⢰⠇⡇⠀⠈⠣⡀⠀⠀⠀⠹⢄⡀⠀⠀⠀⠀⠀⠉⠀⠀⠀⢸⠋⠂⠀⠀⠀⠀⠀⠀⠈⡰⠂⠀⠑⠄⢐⠁⠀⣤⠀⠘⠓⠀⠃⡐⠀⠁⡀⠀⠀⡋⢠⡄⢻
⠀⡅⠘⠸⠁⠀⠘⢀⡀⠀⠀⡗⠀⠀⠊⠀⠀⠀⠀⢸⡇⡼⠀⠀⢠⠊⠀⠀⢄⣠⣀⠄⢠⡀⡶⠁⠀⠀⠀⢣⡀⢄⡀⢇⡰⠀⠀⣳⠤⠧⠀⢄⠈⠂⠀⡇⠀⢻⣾
⠀⡆⠀⠘⡆⠀⠀⢊⠀⠀⢰⠉⠲⠈⢠⡤⠐⠂⠀⢸⣷⠀⠀⠐⠉⠀⠀⠀⠀⠂⡀⠀⠀⠁⠆⡀⠀⡧⠀⢀⠀⠀⠛⣹⠄⠤⠎⠁⠀⢀⠄⠄⠈⠑⠢⡇⠀⣾⣿
⠀⡁⠀⠈⠁⠀⠀⡟⠀⢀⡇⠀⠀⠸⠦⡀⠀⠰⡆⢸⡇⠀⡀⠠⠞⠁⠀⠀⢀⣸⠀⠀⠘⠆⠻⠃⠀⠀⠀⢸⡆⠀⠈⠁⠀⠀⠀⢀⡀⡀⠀⠀⠀⠢⡀⠈⠓⠾⢿
⠀⡇⠀⢠⠂⢠⠀⣧⠀⡊⠀⠀⠀⠀⠀⠢⠤⠤⠈⢺⡇⡌⠀⠁⡤⠤⠄⠀⠁⠈⢉⠆⠀⠀⠃⠀⢸⡆⠁⢘⢀⠊⠁⠀⢀⠤⠔⠁⢀⠤⡀⠀⠀⠀⠉⠢⠤⠤⣼
⠀⡇⠘⢨⡇⢸⠀⠀⢀⠡⡤⠀⠀⡂⠀⠀⡀⠀⠀⢸⠿⠀⠀⠄⠀⡀⠀⡀⠀⠀⣀⠀⠀⢸⡇⠀⠸⠀⡤⠞⠣⡀⠀⠀⠂⠀⠀⠀⣀⠀⠈⠉⠀⢀⠐⠄⢀⠀⢸
⠀⡇⠀⡄⡃⢸⠀⠀⠘⠀⠀⠀⢰⡏⠑⠐⠁⠀⠀⢸⠀⠀⠀⡆⠸⠄⠀⡇⢈⠀⠉⠉⠀⢈⡅⢠⠛⠃⠀⠀⠀⠀⠀⠀⠠⠄⠂⠈⠀⠀⠀⡠⠐⠀⠀⠀⠀⠁⢻
⠀⡇⠀⡃⣇⠸⠀⠀⠀⢰⣀⠠⠀⠀⠀⠠⠄⠀⠀⢸⠀⠀⠀⠁⡀⠀⠀⡟⠃⠀⡀⠒⠂⠉⠀⠏⠀⢀⡔⠂⠑⠈⢀⠤⢁⠤⠀⠀⢉⠀⠃⠁⠀⢀⠀⠀⠀⠀⢸
⠀⣇⢀⣇⢸⣠⠐⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⢸⢸⡀⠀⣠⡇⠀⢀⣇⠀⢰⡀⠀⢀⡄⠀⠀⡠⠀⠀⠀⠀⢀⡶⡴⠁⠀⠀⢀⡆⠀⠀⠐⣄⠀⡆⢠⡀⠀⣸

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠀⠀⢀⣤⡾⠀⠀⢀⣤⡞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠀⠀⢠⣿⡿⠀⠀⢠⣿⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⠀⢀⡀⠀⠀⠀⢸⣿⣿⡀⠀⢸⣿⣷⡀⠀⢸⣿⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣇⠘⣿⣷⡄⠀⠀⠹⣿⣷⡄⠀⠻⣿⣷⡀⠀⠻⣿⣷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠟⠈⠛⠉⡉⠁⠀⠀⠀⠀⠀⠀⠘⢿⣿⣆⠀⠘⢿⣿⡆⠀⠙⢿⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⡶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠀⠀⠈⣿⣿⠀⠀⠈⣿⡿
⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠃⠀⠀⢠⡿⠃⠀⠀⢠⡿⠃⠀⠀⢠⡀
⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⡄
⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣄⣀⣀⣀⣀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣠⣤⣤⣶⣶⣿⣿⣿⣿⡿⠁
⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠇⣶⢰⣳⢴⡦⠞⠦⢶⠒⡦⢴⡖⠀⣞⠶⠶⠖⣦⢶⡆⠖⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⢀⡀⠀⢀⠀⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠹⠚⠽⠺⠀⠹⠇⡯⠗⠇⠇⠏⠟⣯⠇

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠘⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⢀⡏⠀⠀⠀⢀⣀⠔⠒⠢⣄⡄⠀⠀⠀⠘⡆⢀⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⣠⠟⠒⠚⠒⠻⣄⠀⠀⠀⠀⠀⡎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⢸⣡⠤⠤⣤⠤⠤⣌⡇⠀⠀⠀⠀⢣
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⢀⡤⠤⢼⠁⠘⠂⠀⠐⠃⠈⡷⠤⢤⡀⠀⢀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠒⢶⠋⢀⣨⠯⣄⡤⠼⢆⡀⠐⠒⠂⢀⡴⢥⣀⣀⣸⣋⠉⠉⠙⡦⢤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠳⡤⠚⠉⠉⠀⠀⢀⠴⠊⠉⠙⠒⠒⠒⠋⠉⠑⠦⡀⠀⠈⠉⠒⠚⣇⠀⠘⡆
⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⢸⠃⠀⠀⠀⣀⣴⡃⢀⣀⣀⠀⢀⣠⣀⠀⣀⣄⡀⠙⣆⣀⠀⠀⠀⣨⠗⠲⡇
⠀⠀⠀⠀⠀⠀⠀⠘⢶⠒⠛⠒⠦⢤⡀⠀⢀⡉⠉⠀⠈⠉⠉⠀⠈⠉⠁⠀⠈⠉⠁⠀⢀⡤⢴⡁⠀⣠⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⢤⣀⣀⡝⠉⠉⢉⠷⠴⠤⢄⣠⠤⠶⠒⠶⢤⠔⠒⠒⢶⡁⠀⢀⡹⠋⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠦⠼⠤⢄⣀⣀⡹⠦⠄⠤⠤⠼⠦⠤⠤⠔⠛⠉⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⠀⠀⠀⠈⠂⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠃⠈

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡄⠀⠀⣀⣀⡀⠀⢀⣄⠀⠀⠀⠀⠀⠀⢀⡤⠤⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠙⠁⠀⢾⢠⠆⣷⠀⠈⠛⠀⣀⣀⠀⠀⠀⠸⡠⡖⣸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⠀⠀⠀⠀⠀⠈⠻⣟⠁⠀⠀⠀⢸⣡⠌⡇⠀⠀⠀⠙⢯⡁⠀⠀⠰⣶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⣙⣦⠀⣠⡄⠀⢘⡆⠀⠀⠀⠈⠻⣟⠁⠀⢀⣤⡀⠀⡗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡷⠃⠀⠙⠃⠀⠞⠁⠀⠀⠀⠀⠀⢸⠂⠀⠀⠉⠀⠚⠁⠀⢀⡤⢤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣷⠀⠀⠘⡆⠀⠀⠀⠀⠀⢰⡦⠀⠀⠀⠀⠁⠀⢀⡀⠀⠀⠀⠀⠀⠘⣶⣯⠇⠀⢶⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠁⠀⠀⢰⢚⣳⡌⠁⠀⠀⠀⠀⠀⡞⢩⠍⡇⢾⡇⣠⡄⠀⠈⢳⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⣴⣶⣶⠿⠿⠿⠿⠿⡿⠿⠿⠿⠿⠿⠿⠶⢿⣾⣶⣧⣤⣀⣙⠃⠀⠀⠞⠀⠀⣴⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢋⠖⣋⡥⣴⣖⡒⡶⢟⡛⠋⣹⠋⠉⠉⢻⣿⠓⠒⠒⠲⢿⡤⣍⣉⡛⠻⠷⣶⣤⣀⠀⠈⠁
⠀⠀⠀⠀⠀⢀⣀⡤⠤⠶⣇⠸⣏⠁⠊⣩⠐⠚⠃⠸⠟⠀⠁⠀⠀⠀⠈⠋⠀⠀⠀⠀⠜⠁⠀⠀⠉⠹⢶⡦⣌⡙⠛⢷⣦⣀
⠀⠀⠀⠀⠀⢉⣠⡤⠶⠚⣏⠳⢬⣓⠦⣌⡲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠄⠲⡍⠓⠦⣜⡏⢳⡀
⠀⠀⠀⠀⠀⢉⣠⠴⠖⠚⡏⡷⢤⡈⠙⠲⠬⣍⣓⡒⠦⠤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠴⠚⠉⠀⠚⣁⣠⠴⠊⣁⢼⠁
⠀⠀⠀⠀⠀⠉⢀⡴⠚⢉⡇⠇⠀⡏⠑⢲⡤⣄⣈⡉⠉⠓⠒⠦⠭⢭⣭⣍⣉⣉⣉⣛⣛⣛⣋⣋⣉⣉⣩⣭⣭⣭⠤⠖⠋⣁⣼
⠀⠀⠀⠀⠀⠀⡞⠀⡞⠉⣧⡃⠀⡅⠀⢸⡇⠀⠈⠉⡟⠒⠲⠦⠤⢤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⠤⣴⠚⢹⢸
⠀⠀⠀⠀⠀⠀⢻⡀⠙⢦⡙⢮⡓⢥⣀⣈⠁⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⢘⢸
⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠉⠳⢬⣓⠢⢭⣛⡒⠦⢤⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡍⠀⠀⠀⠰⣀⠴⡻
⠀⠀⠀⠀⠀⠙⠦⣄⠀⠉⠓⠦⣄⠈⠉⠓⠦⢭⣙⡒⠲⠬⢭⣝⣓⣒⡒⠶⠶⠶⠶⠤⠤⠤⠤⠴⠶⠶⠶⠶⠒⣒⣚⣩⠴⢋⡡
⠀⠀⠀⠀⠀⠦⣕⠮⣝⡲⠤⣄⡀⠀⠉⠓⠲⢤⡀⠉⠁⠘⠒⠦⠤⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣉⣉⣉⠉⢉⣩⡭⠤⠖⠋⠉⣀
⠀⠀⠀⠀⠀⠀⠈⠙⠲⢭⣓⠦⣍⣙⠲⠦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠄⠠⠴⠖⠚⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠮⢽⣒⡶⠤⣍⣙⡒⠲⠤⠤⢤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⡤⠤⠖
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠲⠮⢭⣉⣛⡀⠒⠒⠶⠤⠀⠈⠉⢭⣭⡍⠉⠩⣭⡥⠤⠤⠤⠤⠶⠖⠒⠒⣂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠓⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠚⠛⠋⠉⠉⠉