Scribe Emojis & Symbols

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣶⣦⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣯⣈⣷⣤⣼⣯⣯⣿⣷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠟⠛⢉⣀⡈⠻⣿⠛⢿⣿⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣶⡀⠻⡿⠋⠀⠛⠙⣻⣿⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡿⣇⣠⠀⠀⠀⠀⠰⣿⣿⣿⣧⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣷⡆⠀⢀⡀⠀⢻⣿⣿⣿⣿⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣧⣤⠔⣛⠃⠀⢠⣿⣻⡏⠁⠀⠉⠓⠤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⠇⠀⠀⠺⣿⡏⢠⡄⠀⠂⠀⠀⠜⢣⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠻⣷⣿⣶⣤⢶⡄⠏⠁⢸⢇⣿⠀⡞⢠⠀⠀⢳⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣍⣿⠁⠈⠁⠉⢉⡀⠀⠀⠀⣿⢾⣧⠞⡤⠀⠀⠀⠀⣸⢦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢏⠸⣿⠀⠆⠀⡈⠃⣠⠀⠀⠀⠟⠸⢏⡘⠃⢠⣦⠀⠀⢹⡆⢳
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡏⠀⣠⣿⠄⠀⠀⠐⠇⠉⠀⠀⠀⠀⢰⡾⠃⣤⠞⠁⠀⠀⠸⢇⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⢻⡇⠀⢀⣷⠀⠀⠀⣌⠂⢀⠀⢀⠀⢀⣮⣡⠞⠁⠀⠀⠀⠀⠀⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠿⠉⠂⢷⡀⢈⠙⣇⡀⢀⣙⡅⢰⡄⠈⠀⣾⠟⢱⣄⠀⠀⠀⠀⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠐⠒⠀⠠⠀⠀⢀⣀⣀⠀⠀⠀⠀⢀⣤⣾⡿⠦⡀⣿⡈⠁⠈⠓⠹⢷⣏⠱⣿⢨⡇⢹⠀⢉⡴⠿⠛⠁⣀⣸⠇⠀⠀⢿
⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⡀⠀⠀⠀⠀⠙⠢⣀⡠⠾⠛⠠⣄⠀⠐⣍⠳⠀⠀⠰⡤⣿⣿⣧⡹⢿⣶⣾⡿⢋⠁⣀⢠⣿⣷⣿⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠲⢸⡷⠀⢦⡄⠀⠀⠀⠈⠁⠀⠀⠀⠈⢳⣆⠘⣷⡀⠀⠀⠃⢹⣟⣏⢷⣼⣿⣷⠟⠋⠀⠙⠃⠀⠉⠁⠀⠀⠀⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⣤⠏⣧⢠⣄⣀⣀⣀⢀⡀⠴⠒⠿⣿⢷⣜⡿⠀⠚⠓⢻⣹⣿⣿⡿⠿⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣷⣿⣿⣿⠟⠛⢋⣙⠛⠻⢿⣿⡦⠼⠷⣾⣶⡴⠟⠉⠉⠀⠀⠀⠀⠈⠙⣷⣄⠀⠀⠀⠀⠀⣀⢽⡆⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣧⠈⠳⣌⠙⠒⠀⠈⠁⢰⠀⠀⠍⠁⠀⣀⣀⠠⠤⠐⠚⠁⠈⠉⠙⠻⣶⣦⣀⡀⠁⢸⡇⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣯⣿⣿⣿⠛⢻⡄⠀⠙⠹⣦⣀⠀⠀⢸⡄⠀⠀⠀⢰⣿⠀⠀⠀⢀⣀⠀⠀⠀⢠⣀⠹⣿⣿⣇⡀⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡿⠿⠟⠃⢸⣷⠀⠐⠀⠀⠙⡃⠐⡌⠁⢀⠀⢠⣾⠇⠀⠀⠀⢈⣩⡻⣄⣀⠀⠉⠳⣽⣿⢿⣿⣦⣐⣀⣀⡀⠤⠤⠚⣣⣿⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⢰⠟⠀⣎⡖⠀⠀⢻⣇⠀⠀⠀⣦⠿⢾⡇⣶⢸⣮⣾⠃⠀⠀⠀⠀⢷⣤⣶⣿⣼⣷⡄⢰⣿⣿⣿⣿⣿⡿⠀⠀⣀⣤⣶⠟⠋
⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⡤⢀⣰⣟⡁⠀⠀⠈⣿⡀⠠⣤⡇⠀⠈⢷⣿⣿⣿⠁⠀⠀⠀⠀⠀⠈⠙⠛⠹⣿⣿⣿⣾⣿⠟⠉⣁⣠⡴⣾⣿⣿⡿⠁
⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⢠⡇⠈⠋⣿⡆⠀⠀⠀⠸⣧⠀⠟⢠⡄⠀⣾⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣾⣿⡯⠿⠓⠛⠉⠉⠀⣰⣿⣿⠟
⠀⠀⠀⠀⠀⠀⠀⠈⢻⣶⣤⠁⠀⠀⣼⡇⠀⠀⠀⠀⡿⣷⠀⠛⡜⠸⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⣿⣷⡄⠀⠀⠀⠀⠀⣼⣿⡿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣥⡾⢀⠀⠼⠂⠀⠄⠀⠘⣷⡇⠀⣀⢤⣴⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⣿⢿⣿⣦⠀⠀⢠⣾⣿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣤⣤⠄⠀⠀⠀⠀⢀⡿⣿⣦⣉⣦⣽⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⢀⠙⣿⣷⣴⣿⠟⠁
⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣯⡀⠀⠀⠀⠀⡾⠀⠙⠿⣿⣟⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⢀⣼⣿⣿⣷⣄
⠀⠀⠈⠉⠀⣄⢠⡀⠀⠀⠀⣿⣿⣿⣿⡄⠀⣠⠞⠀⢀⠀⠰⢟⣿⣿⣿⣿⣿⣷⣶⣤⣀⡀⠀⠀⠀⠀⠀⠸⣿⣿⣿⢿⠁⠘⢿⣿⣦⡄
⠀⠀⢠⣄⣾⣿⣀⣦⠀⠀⡜⠁⠘⢿⡿⠻⠞⠁⠀⠀⠁⠀⠀⠀⠛⣷⣿⣷⣬⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣮⡿⣧⣤⢑⡆⠀⠙⠳⣽⣶⣄⠢⣄
⠀⠀⢺⣿⣝⣙⣿⠿⠃⠲⢇⠀⣄⠨⣥⣤⣶⣦⣤⣤⣴⣦⣌⣱⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣋⣿⣿⣿⣿⠻⣿⣆⠙⢮⣴⠆⡀⠀⠈⠻⣿⣴⣿⣄⠀⠀⠀⢀
⠇⢀⡘⠛⠛⠛⠉⠀⠀⠀⣛⡀⠉⠀⣿⣿⣿⡿⢿⣟⣿⣿⣿⢿⣿⣿⣿⣿⡿⠟⢛⣿⣿⣿⠋⠁⠀⢿⣿⣿⣷⡿⣿⣷⣠⣽⣿⢷⣭⠒⠢⣤⡙⢻⣿⠿⠓⠊⣩
⠀⠘⠳⠶⠲⠶⠶⠛⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⢠⣍⣄⣠⠿⠟⠋⠀⠀⠀⣼⢿⣿⡿⡆⠒⠦⣼⣿⡿⠟⠀⠛⠿⣿⣈⠛⠒⠿⠆⢀⡤⠗⠈⠁⣠⡴⠟⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠙⣿⣿⠃⠀⠀⠀⢹⠉⠀⠀⠀⠀⠀⠈⢿⡗⠴⠆⠒⢀⣠⡴⠾⠛⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⣸⠇⠀⢄⣼⠀⠀⠀⠀⠀⣠⣶⡉⢀⣀⣤⠶⠛⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣶⣿⣾⣶⠟⠃⠀⠀⠀⠀⠘⢿⣿⠟⠛⠉
⣿⣿⣿⡿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣤⣤⣤⣤⣄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⣀⣤⣤⣤⣤⣀⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⣹⡁⠀⠀⠀⠀⠀⠀⢻⢱⠲⢄⡂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⡼⣤⡾⢿⣼⡧⣤⡤⠤⠤⢴⣿⣾⣷⣶⢾⠷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢦⣄⠀⠀⠀⠀⢘⡡⢷⡴⠛⢳⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⢰⠟⢀⡼⠳⡤⠂⠀⠀⣠⣴⣾⣿⣿⣭⣔⡀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠇⠀⠀⢠⠷⣤⡟⢶⠂⠀⠀⢠⣾⣿⡍⢩⣍⣉⣹⣿⣿⡀⠀⠀⠈⠂
⠀⠀⢀⣀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⣾⣴⠋⠁⠁⠀⠀⠀⣿⡟⢹⡇⠘⠋⢹⣿⡿⣿⡇⠀⠀⠀⠀⠀⢸⡀
⠀⣠⣺⡿⡛⣿⣟⢳⡀⠀⠀⠀⠀⣰⣿⣯⠗⠀⠀⠀⠀⢸⣿⣇⢸⡇⣄⠀⣜⠻⣷⠿⢃⣠⣤⠴⠶⠛⠻⠋
⢀⢣⡏⣾⣅⠀⢻⣎⡇⠠⡀⠀⣼⣟⠘⠯⠀⠀⠀⠀⠀⠘⢿⡿⣆⣿⣿⣀⣿⣀⣿⣶⣋⡁⢀⣱⡶⠲⣧⣀⢢⡀
⢸⣷⡷⣿⠙⠛⢋⣿⣧⣀⠛⢲⣿⢯⠀⠀⢣⠀⠀⠀⠀⠀⠀⣿⣿⡟⡿⣿⡿⡉⠠⠤⠉⠻⡆⠁⢤⠀⢀⡿⡿⣥⡀
⠈⢷⣿⡿⣷⣶⠟⠿⣴⠯⣹⡿⣍⢸⣧⡀⠀⠁⢀⣠⣶⣶⣾⣿⣿⣷⣿⣿⢡⡜⠂⠀⣠⡞⣻⡀⢈⣁⣠⣤⠂⠟⠹⣆
⠀⠘⢧⣱⡾⠝⠿⣶⣾⠳⡾⠅⢈⠀⣛⢿⣷⣶⣾⣿⣿⣿⣿⣿⠿⠛⡙⡟⢾⡠⠐⡤⢛⡴⣹⣧⠐⠓⡄⢠⠶⠟⠊⢈⠻⡆
⠀⠀⠀⠈⡟⠲⢤⣀⠉⠻⣷⡒⠤⠿⣭⣄⠈⠉⠛⠻⣿⡏⢩⢈⣷⢉⡉⢹⣀⡴⢋⣱⠚⡎⢹⣿⡚⣴⠧⠠⢀⢀⡀⢟⡉⢻⡄
⠀⠀⠀⠀⡃⠀⠀⢙⣿⣶⣄⡙⠳⠶⣼⣿⠗⣀⠀⠀⠘⡌⣶⡼⣴⣮⣠⠟⣿⡔⢿⡸⣧⢳⡾⠹⢦⡿⢶⣄⣨⠀⠢⠈⠁⠙⣧
⠀⠀⠀⠀⡇⠀⠀⢸⡇⠉⠛⠿⢷⣦⣌⡙⠻⢷⣗⣤⡀⢰⡈⢻⣋⠈⠹⠛⢹⣦⡈⣧⣴⣟⡡⠿⠿⠧⠾⡅⠈⢉⡃⠀⢠⠀⣿⡄
⠀⠀⠀⠀⡇⠀⠀⢸⡇⠀⠇⠀⠘⣿⣿⡿⢶⣤⡉⠛⠿⣿⣧⣸⣋⡀⠀⣠⣼⠷⠟⣻⣾⣷⡶⢶⡾⢿⣿⣷⣖⡶⠗⣀⠤⠚⠉⣅
⠀⠀⠀⠀⡇⠀⣧⢸⣿⠀⡆⡇⢀⣿⣿⡇⠀⠈⡟⠶⣤⣄⠙⠻⣟⣤⣤⣿⡾⠟⠛⠙⣍⣉⣤⣾⣇⣐⠍⠻⡅⠀⣙⣷⠒⣁⣼⡇
⠀⠀⠀⠀⡇⠀⢹⢸⣗⡀⣧⣿⠀⣿⣿⡇⢸⢀⡇⢀⣿⠈⢹⣦⣴⣽⢿⣧⣲⢀⣤⣤⠈⠧⢤⣿⣍⣈⠁⠹⠛⢫⣿⣧⠟⠋⣩⡇
⠀⠀⠀⠀⡇⠀⢸⣼⣿⡇⢿⠿⠇⢻⣿⣧⣙⣈⣃⣛⣿⠀⢸⣟⣛⢊⣿⣿⣿⠂⠀⠀⣀⣴⣐⣿⠍⠈⢇⣀⣠⣌⠁⠎⣂⣘⡟
⠀⠀⠀⠀⡇⠀⢠⢸⡟⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡿⣻⠷⢾⣿⢯⣄⣰⣟⣭⣍⣉⣉⣉⣉⣭⣭⣉⣉⣠⣤⣤⣬⣥⡀⠙
⠀⠀⠀⠀⡇⠀⠈⢹⣧⠀⢰⠆⡟⢹⣿⡥⠀⠀⠘⣿⡿⠀⢸⡿⣿⣴⡾⡇⢐⣄⣉⠈⡇⢰⣿⣿⣿⡿⣿⠸⠟⠛⠿⣏⡵⡟⢀⡆
⠀⠀⠀⠀⡇⠀⠀⠸⣧⠀⢸⠀⠁⢸⣿⡇⠀⠀⠀⢻⡇⠀⢸⣇⣠⢁⠀⣿⠈⠋⣸⣄⣤⠸⣿⡸⣿⡦⡿⣀⠀⢒⣲⢿⠔⡇⠈⡅
⠀⠀⠀⢸⡇⠀⠀⠀⣿⠀⣾⡆⠀⣾⣿⡇⠀⠀⠀⢸⡇⠀⢰⡟⢿⣆⣀⣿⡄⣨⣿⢿⠋⠀⣿⢳⠋⣸⣗⣟⣸⠾⣥⣼⡃⡧⢀⠁
⠀⠀⠀⢸⡇⠀⠀⠀⣿⠀⣿⣧⡀⣿⣿⣧⠀⠀⠀⣼⣷⠀⢸⡇⡀⢘⣿⠿⣿⡏⠁⢸⠀⠀⣿⣼⣤⣿⣿⣧⣚⣼⣿⢳⠿⡇⢸
⠀⠀⠀⢸⡇⠀⠀⠀⣿⠀⣿⡇⡃⢸⣿⡏⠀⠀⣄⣿⣿⠀⢸⡇⣸⡟⠁⠀⢈⣷⠄⡈⡀⠀⣿⡿⠉⡏⠉⣻⠛⣿⠃⢸⡻⡇⢐
⠀⠀⠀⢸⡇⠀⠀⠀⣿⠀⣿⡗⡇⢸⣿⣇⢀⠀⣾⣿⣿⠀⢸⣷⠋⠀⠀⠀⢸⣇⠀⠀⠇⠀⣿⡿⢀⠃⢀⣿⡿⠁⡇⣼⢿⡇⠈
⠀⠀⠀⢸⡇⠀⠘⠀⣿⠀⣿⣇⡇⢸⣿⡿⢠⠀⣸⣿⡇⠀⢸⠁⠀⠀⠀⠀⠸⠿⣂⡠⡇⠀⣿⣿⡘⢿⣿⠟⠷⢺⡁⣿⣰⡇
⠀⠀⠀⢸⡇⠀⠀⠀⣿⠀⠌⣿⡇⢸⣿⣧⣸⡄⣼⣿⡇⠀⢸⠁⠀⠀⠠⣶⡤⢟⡯⠛⡇⠀⣿⣿⣷⡾⠋⢗⣀⣾⣷⢯⣿⡇⢀
⠀⠀⢀⣾⣇⡐⣠⣴⣿⣴⣷⣯⣧⣾⣿⣿⣿⣷⣿⣿⣧⠀⢸⣀⣀⣀⣟⣡⣴⣋⣤⣤⣧⣠⣯⣭⣿⣿⣶⣾⣿⣿⣿⣿⣿⣧⣼⣴⣶⣶⣦
⣀⣀⠨⠿⠿⠿⠿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⠛⠛⠉⠛⠛⠛⠛⠉⠉⠉⠙⠛⠛⠙⠛⠛⠛⠋⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠖⠢⠀⠄⠀⠄
⠀⠀⠀⠀⠀⠀⠀⠐⠀⠛⠀⠑⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⣤⣤⣤⣤⣤⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⡠⢍⠀⡈⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⢀⠙⠿⣝⡿⢿⣿⡟
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠈⡠⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⢠⠜⠫⠟⢷⣲⣿⣾⡗⠲⠦⢤⣄
⢀⡀⠀⡀⠀⠀⠀⠸⣉⠙⠯⠆⠉⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠳⣏⢤⡀⠀⢰⣀⣉⣉⠌⠀⠀⠀⠀⠙⢦⡀
⠸⠅⠺⠇⠹⠁⠟⠀⠏⠸⠠⠿⠀⠿⠇⠀⠹⠀⠯⠸⠻⠘⠇⠿⠀⠇⡄⠀⠑⠗⠲⠚⠁⢵⠃⠀⠀⠀⠀⣀⣀⡀⠙⣄
⠀⠀⠀⠀⠀⠀⠀⢈⢉⢉⠉⡑⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⡟⠦⡀⠀⠀⠀⠀⢸⠀⠀⢀⡼⠉⠀⠀⠀⠀⠘⢦⣄
⠀⠀⠀⠀⠀⠀⠀⠠⠄⠠⠂⢠⠦⠀⠀⠀⠀⢀⡞⠹⡶⣦⢤⣀⣘⣯⡽⠤⠕⢦⣄⡀⢰⢞⣀⢀⣾⠀⠀⠀⠀⠀⢀⠔⣁⣼
⠀⠀⠀⠀⠀⠀⠀⠀⡆⢠⠄⢨⠅⠀⠀⠀⠀⡼⠁⠰⡀⠗⠒⢮⢉⡿⠫⣽⣦⣄⡈⠙⡏⠀⠉⣽⠏⠻⠲⣶⣊⢝⣥⡾⠛⠁⣇
⠀⠀⠀⠀⠀⠀⠀⠀⣁⢀⣀⡰⠒⠀⠀⠀⢰⠃⠀⠀⣞⢿⡲⠿⢌⠀⠾⠞⣆⡭⠷⠛⠁⢀⡼⠋⣠⠇⠀⣬⣾⣏⡁⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠸⠩⢩⠉⢁⡀⠀⠀⠀⠈⠉⠛⡶⣮⡣⣁⠀⠀⠗⠛⠋⢉⣀⣀⣤⠶⠞⢙⣟⣡⠴⠛⠁⠐⠦⠭⢧⡴⠀⣼
⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠆⢹⠉⠀⠀⠀⠀⠀⠀⡇⡟⠈⠛⠛⠒⠲⢖⣋⣉⣉⡀⠃⠈⠁⡟⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣹⠁⠀⢳⡀⠀⠀⠀⠀⠀⡇⠈⣿⠟⠚⠁⠀⠀⠀⠀⠀⠀⠀⣴⡞⠉⠹⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢄⠀⣀⣀⣀⣀⠀⣸⡟⠀⠀⢸⠉⢹⡀⠀⠀⠀⢁⠀⡇⠐⢀⠀⠀⠀⣀⡤⠖⠋⠀⣆⣀⡀⠀⢷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣴⣿⣟⠎⠉⠉⠉⠉⠐⣼⠋⢳⠃⠀⠀⢷⠚⠉⡄⡟⠀⡇⠀⣤⠷⠚⠫⡁⠀⠀⠀⡼⠛⠢⣉⠣⣀⠙⢦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠺⠶⠶⠶⠶⠶⠾⠿⠤⠼⠦⠤⠤⠿⠶⠖⠃⠙⠢⠭⠽⠦⠴⠖⠛⠋⠑⠢⠞⠁⠀⠀⠈⠛⠛⠛⠛

⠑⠶⣤⣤⣄⡀
⠀⠀⠀⠉⠉⢙⠛⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣄
⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⣡⣦⣄⡀⠀⠀⠀⠀⠾⢿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣧⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠚⠿⣶⣄⡀⠀⠀⠀⠹⣿⣿⡘⣫⣭⣭⣭⣭⣽⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⣿⣿⣦⣄⠀⠀⢹⣿⣿⠟⠀⠈⠉⠉⠙⣿⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⢷⣦⡙⣿⣿⣿⣶⣶⡄⠲⠾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠦⠽⣿⣦⡛⢿⣬⣿⣧⡀⣠⣿⣿⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⣬⣿⣿⣦⡙⣿⣿⣿⣿⣿⣿⣷⠀⠀⣀⣀⣠⣤⣤⣄⣀⣀⣀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣧⠄⠙⠻⣿⣿⣿⣿⠿⠟⠻⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⠟⢻⣟⢁⣼⣿⣶⣶⣶⡿⣟⣩⣤⣶⣶⣷⣄⠀⠀⢀⣀⣀⣤⡤⠄⠀⠀⠀⣿⣿⣷⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠋⠀⢰⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⢿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠁⠀⠀⠀⢹⣿⠇⢀⣀⣀⣀⣀⣀⣀⡀⠀⣀⣙⣿⣿⠃⠀⠀⠠⠶⠶⠶⠶⠄⠀⢰⣿⣿⣿⣷⣦⣤⣤⣤⣤⣤⣤⣤⣴⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡟⠀⠀⠀⠀⢠⣿⡟⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⡄⠤⠀⠀⠀⠀⠀⣿⣿⣿⡿⣿⢻⣿⡟⣿⠛⣿⣿⣿⣿⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣧⠀⠀⢀⣴⣿⠏⢠⣾⣿⣿⡏⠙⠻⡿⢹⡟⢿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⣿⠇⠙⠀⢹⡇⢿⠀⠹⣿⣿⡿
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣀⣴⣿⣿⠋⣰⣿⣿⣿⣿⠃⠀⠀⠀⠀⡁⢸⣿⣿⠃⠀⠀⢾⠛⠋⠀⠠⡤⠀⠀⢸⣿⠀⡇⠀⠀⠀⠈⠇⠀⠀⠀⢹⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⣿⣿⣿⣿⡿⢁⣴⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⡇⢸⣿⣿⠀⠀⠰⢶⣤⡴⠴⠦⡄⠀⠀⠸⣿⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⢠⣾⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠇⣼⣿⣟⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⣿⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣭⣭⣵⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⣉⣉⣉⣉⣀⣀⡀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡧⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⢉⣭⣭⣭⠍⠉⠉⢶⠀⠹⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⢰⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣧⡀⠀⠀⠀⠀⠀⠀⢸⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠈⢿⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡿⠀⠀⠀⠈⣿⣿⣿⣿⣦⣤⣤⣤⣶⣶⣶⣶⣾⣿⣿⠿⠿⠿⠿⠛⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⢀⣀⣀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠁⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⢰⣿⡿⠛⠛⠛⠛⠉⠉⠉⠉⠉⠙⢻⣿⣿⣿⣿⡇⣀⠀⠀⠀⠀⠀⠀⠸⡏⢹⡟⢹⡿⠛⠏⣿⠉⣿⠀⠉⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄
⠀⠀⠀⢸⣿⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠁⠀⠀⠀⠀⣿⠀⠟⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⠀⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⠀⠀⠀⣿⣿⢸⣿⡿⠋⠙⣿⡇⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⢸⣿⠃
⠀⠀⠀⠀⠀⢠⣿⡇⢸⣿⠇⠀⠀⣿⡇⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⠀⠀⠀⣿⡇⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⠀⠀⢸⣿⠇⣸⣿⠀⠀⠀⣿⡇⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⠀⠀⣼⣿⠀⣿⣿⠀⠀⢠⣿⠇⠀⣿⣿⣿⣿⣿⠇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⡀⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⠀⢠⣿⡿⢀⣿⣿⣶⣶⣾⣿⠆⠀⣿⣿⣿⣿⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠁⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃
⠀⠀⠀⠀⢸⣿⡇⢸⣿⣶⣦⣤⣿⣿⠆⢀⣿⣿⣿⣿⣿⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡀⢸⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⢸⣿⠃⣸⣿⠟⠛⢿⣿⣿⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢰⠀⣇⠀⠀⢀⡄⠁⣾⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⣿⣿⠀⣿⡏⠀⠀⠀⢻⣿⠀⠸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢸⠀⡏⠀⠀⢸⡇⠀⣿⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⠀⣿⣿⠀⣿⡇⠀⠀⠀⢸⣿⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⢸⠀⡇⡀⠀⢸⡇⠀⣿⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆
⠀⠀⠀⢠⣿⡿⢀⣿⡇⠀⠀⢀⣿⣿⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⢳⡀⢸⡇⠀⣿⠀⠀⣿⠀⠂⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⣸⣿⡇⢸⣿⡇⠀⠀⢸⣿⣿⠀⠀⣿⣿⣿⣿⣿⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢸⠀⡇⢸⡇⢸⣧⠀⣿⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⣿⣿⡇⢸⣿⣇⣀⣠⣾⣿⣿⠀⠀⣿⣿⣿⣿⣿⠀⠀⣟⠀⢻⡀⠀⠀⠀⠀⣤⡀⠀⢠⡇⣾⢠⣧⢸⣇⢸⣿⠀⣿⠀⣿⡏⠀⡆⠀⠀⠀⠀⠀⢸⣿
⠀⠀⠀⣿⣿⠃⣾⣿⠛⠛⠛⠛⢿⣿⡄⠀⣿⣿⣿⣿⣿⠀⠀⣿⠀⡄⢿⡄⠀⢀⣄⣽⡇⣠⣼⣿⣿⣸⡏⣸⣏⣾⣿⢠⣿⢠⣿⣇⣼⡇⢰⣆⣠⠀⡆⢸⣿
⠀⠀⢸⣿⣿⠀⣿⣿⡟⠛⠻⠿⣿⣿⡄⠀⣿⣿⣿⣿⣿⢸⡀⢻⣿⣿⣿⣶⣿⣼⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣷⣾⣿⣿⠀⠟⢸⣿
⠀⠀⢸⣿⡇⢸⣿⡏⠀⠀⠀⠀⠈⣿⣧⠀⣿⠿⠛⣿⣿⢸⠀⠀⣿⣿⣿⠿⠿⠿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠛⣿⣿⠀⠀⢸⣿
⠀⠀⣿⣿⠇⣾⣿⠁⠀⠀⠀⠀⠀⣿⣏⠀⣿⠀⠀⣿⡿⡌⠀⠀⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠀⣸⣿
⠀⢀⣿⣿⢠⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⠀⣿⠀⠀⣿⣧⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⢰⣿⣿
⠀⣸⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⣿⣿⢠⣿⠀⠀⣿⣿⠀⠀⢠⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣆⣾⣿⣿
⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⣼⣿⠀⠀⣿⣿⣷⣿⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⠿⠿⠟

⠀⠀⠐⠂⢈⡀⣉⡀⢀⠀⢀⡀⢀⠀⠀⢀⣀⢀⡉⠀⢀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⠀⠀⠀⠉⠙
⠀⠀⢘⠀⠈⠿⠈⠀⠽⠆⠳⠀⠟⠁⠛⠘⠕⠨⠙⠆⠨⠄⠋⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣊⢀⡀⠄⠹⡀
⠀⠀⠘⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠊⠀⠠⠰
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠚⠁⠀⠺⠂⠠⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⣤⠀⢶⠲⠆⠰⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣏⡘⠡⣗⠾⣿⡿⣿⣿⠀⠀⠀⠀⣀⣀⠀⣀⠀⣀⣀⣀⣀⣀⢀⣀⣀⣀⣈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢹⢏⠀⢀⠠⠁⣴⣿⣿⠄⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠀⠠⠁⠾⣧⣄⣤⣼⣷⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⢨
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠘⡍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⡸⠁⠀⠰
⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢰⡆⠀⠸⠇⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡴⠁⠀⢀⡔
⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠸⠃⠀⠀⠀⠀⠀⠠⡀⠀⠐⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡜⠀⠀⢠⢏⣤
⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠲⠖⡴⠂⠀⠀⢖⡀⠀⠀⠀⢀⣾⠟⠁⠀⠀⡤⠤⠀⠀⠀⡀⠁⠀⢀⡜⠹⣩⣿⢧⡘⠁
⠀⠀⠀⠀⠀⠀⠀⠈⣮⣽⣿⣇⠀⠀⢀⠴⠋⠘⠃⠀⠈⠉⠁⠀⣀⣤⡶⠖⠂⠠⠤⠦⠁⢠⢀⡜⢤⢰⣦⢀⠞
⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣝⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠖⠙⣧⠋
⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⡹⠄⢸⠗⠶⢤⣦⠄⠠⣴⣖⠿⠙⢻⠀⠈⠀⠉⠌⠉⠹⡿⠶⠶⠆⠀⡇⠀⠁⠀⠀⢠⠖
⠀⠀⠀⠀⠀⡀⠀⠀⠃⡀⠳⢄⣀⠠⡖⠀⠀⠀⠀⠉⠳⣦⣤⣤⣉⠀⢀⣺⠄⠁⠀⠀⠀⠀⠚⠀⡇⠀⠀⠀⡰⠃
⠀⠀⠀⠀⠀⠁⢀⠋⢠⡀⠀⠀⠀⠀⡇⠀⠙⠒⠦⣄⠀⠈⠁⠉⠙⠃⠘⠛⠻⠿⣷⣶⠆⠀⢰⠀⠇⠀⠀⠀⠁
⠀⠀⠀⠀⠀⠀⡎⠀⠀⠈⠀⠠⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠐⠤⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢼⠀⠆
⠀⠀⠀⠀⠀⠀⠑⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠿⠀⠀⣸⠀⠃⠀⠀⡄⠀⠀⠤
⠀⠀⠀⡀⠀⠀⠀⠀⠈⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢛⠀⠀⠀⠀⡃
⠀⠀⠀⡃⠁⠀⠀⠁⠀⠀⠀⠈⠘⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⢠⠀⠀⠀⠀⠁
⠀⠀⠀⡇⠀⢐⣒⠒⠠⠤⠄⠰⠂⣺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⡆⠀⠀⡀
⠀⠀⠀⡇⠀⠈⣠⠄⢠⠔⠀⠀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠸⠀⡇⠀⠀⠃
⠀⠀⠀⠃⠀⢀⡉⠀⠘⠂⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⠀⠀⠀⠃
⠀⠀⠀⠀⠀⠈⡉⢀⠀⠓⠈⢀⠂⠱⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠂
⠀⠀⠀⠀⠀⢀⡠⠀⠀⠚⠀⠀⠀⠀⠀⠀⠉⠐⠠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠄⠀⠀⢙⠀⠀⠀⠀⠠
⠀⠀⠀⠀⠀⠈⠀⡄⢠⡖⠒⠀⠠⠀⠁⠀⠀⠀⢠⡌⠀⠀⠀⠀⠀⠀⠀⣠⠴⣆⣠⣎⡀⣠⣬⠀⠀⠀⠀⢠⠀⠀⠀⡆
⠀⠀⠀⠀⠀⢠⣄⠀⠀⠑⠀⠀⠈⡀⠀⠀⠀⠀⢸⣀⠀⠀⠀⡀⣠⣴⣎⠁⠀⠈⠉⠡⣄⡀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠈⠀⠦⠀⠁⠘⠁⠬⠀⠀⠀⡀⣀⣈⠉⠉⠉⠉⠉⠁⠀⠈⠉⠁⠈⠉⠁⠉⠀⠀⠀⠀⠀⢀⠘⠀⠀⠀⡁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⠀⠀⣀⣀⣀⡈⠀⣀⣀⣀⣀⠀⠀⡀⢀⡀⡀⠀⠀⠀⠀⡄

⠀⠀⠀⢸
⣀⣀⣀⣸⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣠⣠⣤⣄⣀⣀⣀⣀⣀⣀⣀⣂⣤⣀⣀⣁⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠢⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠰⢀⡀⠀⠉⢢
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠱⠶⠉⡠⠀⠠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠥⡄⠀⠁⠊⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠰⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠠⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⡐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⡤⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣡⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⡅
⠀⠀⠀⠀⠀⣀⠀⠀⡀⠀⠀⠐⠁⠀⠉⠉⠉⠉⠉⠉⠈⠉⠉⠉⠁⠉⠉⠀⠀⡂⠀⠈⠁⡀⠀⠀⠐⠂⠀⠁⠀⡇
⠀⠀⠀⢠⠀⠉⠀⠌⠀⡶⠶⠶⠶⠾⠿⠿⣿⠿⢿⣿⣛⠿⠟⠻⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠐⢄⠀⠀⠀⠀⠀⠁
⠀⠀⠀⠀⠀⢀⠀⢀⣀⣟⣛⣛⣫⣟⣛⣽⣟⣿⣿⣿⣿⣤⣤⣯⣤⠇⠀⡄⠀⠰⠀⠀⠀⠀⠀⠀⠙⠒⠊⠉⠉⠇
⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠇⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸
⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰
⠀⠀⠀⠀⠀⢸⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡇⢠⠔⠁⠀⠀⠂⠀⠀⠀⠀⠐⠠⠤⠤⠐⠚⠓⠄⣀
⠀⠀⠀⠤⠤⠀⠬⠯⠩⠭⠭⠭⠭⠭⠅⠀⠀⠀⠐⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠐⠀⠀⠒⠒⠒⠒⠂
⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣠⣤⣤⣤⣤⣤
⣿⣿⣋⣉⣉⡉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣤⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠘⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⣿⣿⣿⡇⠀⠀⠀⡰⠊⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⣀⣴⡿⠃⠀⠀⣴⠛⠛⠁⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⢀⡴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣏⠀⠀⢈⠉⠉⠉⠁⠀⠀⠀⠀⠘⠲⠶⠴⠤⣄⠀⠀⠀⢀⣈⣳⣄⡀⠀⠀⣰⣿⠅
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⣄⠀⠳⣄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣴⡘⡆⣠⠴⠋⠉⠡⢬⣽⣢⣾⣿⡏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣷⡀⠈⠳⢦⡀⠀⠀⢸⠀⠀⠀⢠⣿⡷⠛⢁⣠⠾⠷⠶⣫⣾⣿⣿⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣦⡀⠀⠹⡄⠀⢸⡆⢀⡴⠛⠁⢀⣴⠋⠁⠀⣠⡾⣻⣿⣿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⠈⠻⣿⣷⣄⠘⠲⠼⠟⠉⠀⣀⣴⣿⣿⣧⠀⠀⣨⣾⣿⡿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠈⠙⢿⣷⣄⠀⣀⣤⠞⠉⠹⣿⣿⣿⣷⣿⣿⣿⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠈⠛⣿⢋⡟⠀⠀⠀⠘⢿⣿⣿⡿⠛⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⣸⠃⡸⠀⠀⠀⠀⠀⠀⠉⠉⠀⢀⣀⣀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠏⠀⡇⠀⠀⠀⠀⣀⣤⡶⠞⠛⠋⠉⠀⠀⠉⢳
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠤⢍⣀⣀⡀⣀⣀⣀⠀⡀⠃⣠⣴⡾⠟⠉⠀⠀⠀⠀⢀⣠⠖⠀⣠⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⣴⣶⣶⣤⣤⣤⡤⠖⢃⣴⡾⠛⠁⠀⠀⠀⠀⠀⠀⣴⡟⠁⠀⣼⣿⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣹⣿⠿⠟⠋⢁⣠⣾⡟⠀⠙⠦⣀⠀⠀⠀⢀⣠⣾⣿⠀⠀⠀⣿⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠒⣪⣥⣴⣶⣶⣿⣿⣿⡟⠀⠀⠀⠀⠈⠳⣶⣿⡿⠛⠁⣿⣧⠀⣼⣿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠙⡋⠉⣿⣿⣿⢿⣿⣷⣦⣄⠀⠀⠀⠀⠈⠻⣄⠀⠀⣿⣿⣿⣿⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠉⠳⣍⠛⣛⣛⡵⠚⢿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠈⠳⣄⣿⣿⣿⡏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠈⢑⣿⢿⣶⣤⣄⠀⠀⠉⠛⢿⣿⣷⡄⠀⠀⠀⠘⢿⣿⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠐⠁⠀⠀⠀⠉⠉⠛⢦⣄⡀⠀⠈⠛⢿⣆⠀⠀⠀⠀⠹⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⣤⣀⡀⠙⠷⡄⠀⠀⢠⣷⣄⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠶⠶⠶⠞⠛⠛⠻⠿⠿⠃

⠀⠄⠠⠤⠤⠄⠀⠄⠠⠠⠤⠄⠀⢀⠀⠀⠀⠤⠀⠀⠀⠀⠄⠀⠄⠀⠄⠀⠠⠀⠠⠀⠀⠀⠄⠀⠀⠀⠀⠄
⠀⠤⠠⠀⠄⠠⠀⠀⠤⠀⠀⠀⠠⠀⠀⠄⠠⠀⠠⠀⠠⠀⠄⠠⠀⠀⠀⠀⠠⠀⠠⠄⠄⠀⠀⠀⠀⠄⠀⠄
⠀⠄⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠
⠀⣀⣀⣀⡀⢀⣀⠀⣄⡀⢀⡀⢀⡀⢀⡀⡄⡀⡀⠀⣀⣀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠈⠁⠠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠑⢤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡤⠊⠀⠀⠀⠀⠀⠀⢀⠠⠀⠀⠀⠀⠀⠠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠈⠀⠀⢀⠠⡈⠁⡈⠠⠀⠂⠀⠀⠀⠀⡐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠠⠌⢀⠀⣀⠀⠄⠀⠀⠀⠀⠀⠀⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⣀⣀⣀⡀⠂⠀⠀⠲⠀⠀⠄⠀⠀⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣽⣽⣯⣽⣉⣍⣹⣉⣉⡷⠀⠀⠀⠀⠀⠀⠄⠀⠀⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⢀⠀⠀⠀⠀⠀⠠⠎⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠂⠀⠐⠂⠀⠀⠀⠀⠀⠙⠑⠒

⠀⡠⠀⠤⠄⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⢀⠠⢀⠀⡀⠀⠠⠠⠤⠄⣠⣤⠤⠴⠶⡄
⢸⡇⠸⣖⠀⠄⠀⠀⠀⠂⠀⠀⠀⠀⠰⠶⠰⠀⠀⠀⣄⠀⢆⠀⠀⠀⠀⠂⠠⠀⠀⣄⠀⢂⠀⠀⡆⠠⠀⠂⠀⠀⡇
⠘⡇⡀⡄⠀⠨⢀⡀⠀⠡⠀⠐⠀⠀⢰⠀⠀⣤⡄⠀⠍⠀⠰⠀⡀⢀⠀⠑⠈⠠⠀⠈⠀⠀⠅⠀⠄⠀⠠⠀⢀⠀⡇
⢀⣇⡀⠀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠸⠓⠘⣯⠮⠢⣄⠀⢰⡾⠀⠀⠀⠀⠁⡀⠀⠀⠀⠀⢠⢀⠀⠀⠀⠀⠀⠀⡇
⢸⡇⠈⠐⢢⣔⠀⠀⡁⠁⠂⠀⡄⠀⢨⠄⢠⣃⣄⣈⢈⢪⣀⡄⠐⠀⠂⢁⠔⢰⠀⠀⠀⡠⢨⠀⡆⠀⠀⡆⠀⡠⡇
⢸⡇⠀⠀⠀⠀⠀⢠⡀⡰⠀⠀⡄⠀⠐⠁⠠⢩⠤⡉⠀⠋⠀⠁⢁⠐⣈⡤⠀⠈⡀⠄⠀⠁⢀⠔⠇⠀⠀⠀⠀⠀⡇
⢸⣇⠀⠀⠀⢠⠊⠁⠀⠀⠠⠀⠒⢀⡐⠔⠀⠄⠉⠤⠀⠠⢀⣐⠈⠀⠀⠀⠀⠀⠃⠀⢢⢒⠀⠀⠀⠀⠀⠂⢘⣀⡅
⢸⡏⠉⢩⣉⡟⣡⠉⠉⣌⢉⠙⡌⣉⡀⢡⠁⠀⠈⢍⡉⠑⡄⠠⠤⠤⢤⠀⠉⠀⢀⠀⣀⡀⠉⠁⠁⠀⠀⠈⠉⠡⡅
⢸⡇⠀⣀⡅⠁⡌⠀⠀⠣⠘⠰⠁⢉⠁⡀⠁⠀⠀⢆⠈⢠⠀⠀⡀⠀⢸⠀⠀⢸⢀⠀⢀⡇⠀⠀⠀⠀⠐⣀⠈⠄⢠
⠘⣇⠀⠀⣀⣠⠄⠀⠀⠀⡈⠀⠇⡀⣠⡤⠎⠀⠀⠀⠌⠀⠄⠀⠃⠀⢸⠐⠒⢺⠈⠀⠀⠇⠀⠴⠁⠀⠀⠀⠀⢀⡇
⠀⣿⠀⠉⠂⢭⡃⠀⡁⠁⠀⠀⡄⠀⠐⢬⠀⠀⠀⠂⠔⠁⠀⢰⠃⠀⠺⣤⣤⡀⣸⠤⠤⢣⠑⠾⠁⣀⠀⠂⢀⠊⣿
⠀⣿⠰⠖⣠⡀⢄⠠⣀⡙⠀⠀⢄⠴⠀⡀⢄⢀⣉⡀⠀⠐⡀⢸⠀⠀⠀⠸⣀⣀⠆⠀⠀⠸⠀⠀⡀⢀⢁⣬⠀⠠⣿
⠀⣿⢸⠀⠉⡀⠉⠀⠀⠀⠀⠀⠚⠋⠈⣏⠀⠀⠠⠀⠠⠀⠂⢸⣀⣀⣀⣀⣀⣀⣀⣀⣀⡈⢠⠐⠀⠀⠠⠀⠀⠠⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠊⠱⠀⠐⠒⠂
⠀⠀⠀⠀⠀⠀⠀⠐⠀⠘⠀⠈⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠤⠤⠤⣤⣤⣤⣤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⡀⠅⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠉⠉⠀⡉⠙⢛⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢀⠔⠈⠐⠀⣒⡤⢼⡟⠒⠶⠤⣤⡀
⢀⠀⠀⠀⠀⠀⠀⠠⡋⠉⠫⠤⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⣁⠄⠀⠀⢠⣀⣉⣉⠄⠀⠀⠀⠀⠉⠢⡀
⢼⠀⢾⡄⢳⠁⠟⠀⠏⠸⠀⠾⠄⠟⠇⠀⠐⡇⠰⡅⠻⠇⠸⠸⡷⠸⡇⠀⠈⠳⠷⠦⠾⠉⢹⡏⠀⠀⠀⠀⢀⠀⠀⠈⢦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡶⠶⢄⠀⠀⠀⠀⠀⢸⠁⠀⠀⣰⠊⠁⠀⠀⠀⠀⠳⣠⡀
⠀⠀⠀⠀⠀⠀⠀⠠⠀⢀⠤⠀⠈⠀⠀⠀⠀⠀⢠⠒⠶⢤⣄⣀⠀⢹⡏⡧⣄⠳⣄⡀⠀⢠⡜⠀⠀⣴⠃⠀⠀⠀⠀⠀⢀⠔⢉⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡀⠀⡀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠈⠉⠓⠮⢅⣲⣄⡀⠉⠓⡞⠀⠀⢸⡟⠳⠶⣤⡰⢊⢖⣥⡾⠋⠹⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢈⠤⠀⠀⠀⠀⡞⠀⠀⢠⠶⠶⡴⢂⠀⠀⣄⠞⢉⣛⡦⠶⠃⠀⣠⠟⠀⡔⠀⢈⣩⡖⠋⠉⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⢰⠂⠀⠀⠊⠀⠀⠀⠀⠀⠓⠲⢤⣌⡁⡈⠀⠀⠑⡤⠶⠶⠋⠁⠀⢀⣠⡴⠛⡦⠞⣀⡴⠋⠉⢬⣙⡲⢀⡄⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠄⠂⠂⠀⠀⠀⠀⠀⠀⢸⢰⡏⠪⠷⢤⣀⣤⡤⠖⠒⠛⠋⠉⠠⠆⣸⠷⠋⠁⠀⠀⠀⠀⠀⠈⠉⠀⣼⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⡼⠀⠠⡄⠀⠀⠀⠙⠒⠚⠂⠲⢦⡤⣤⠇⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠚⣅
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡇⠀⠀⠼⠤⢤⠀⠀⠀⠀⠇⠀⡏⠀⠀⠀⠀⠀⠀⠀⣀⡴⠂⢸⠁⠁⠀⢸⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢊⣭⢦⡐⠒⠒⠒⠲⠒⠙⡦⠤⣤⠇⠀⠸⣄⠤⠦⠀⡶⠀⡇⠀⠐⣠⣤⠤⠖⠋⠁⠀⠀⣴⢖⡓⢦⡀⠻⢦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠩⢟⣣⣂⣀⣀⣀⣀⣀⣼⡇⠀⣯⠀⠀⢀⣗⣀⣠⠆⢦⠀⠣⢤⡋⢁⣀⣤⡴⠤⣀⢀⠜⠀⠀⠙⢦⣝⡦⣤⡽
⣶⣶⣶⣶⣶⢶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣾⣿⣾⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣷⣶⣶⣶⣶⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⣤⡀⠀⠀⠠⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢡⣝⢶⣄⠀⢘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠀⠀⠸⠋⠳⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⠸⢀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢒⡼⣋⠂⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠁⠀⢀⡀⠀⢀⡉⠐⠒⠠⣄⣀⣀⣀⡠⠤⠐⠒⠄⠀⠀⠀⠀⠀⠀⠀⢠⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⢨⢈⡘⠈⠙⠀⠀⠀⠀⠀⢸⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠐⠀⠀⡀⠀⠀⠀⢊⠺⣓⢄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠒⠒⠚⠀⠓⠚⠓⠀⠀⠀⠆⠀⢩⠒⠠⢤⡀⠀⠀⣀⣀⣀⣠⠊⢸
⠀⠀⠀⠈⠉⢹⠋⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⠀⠀⠀⠈⠀⠀⠀⠑⢦⡀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⡀⠸⡀⣿⣿⣿⠷⣿⣿⢿⣿⣿⣿⣿⣿⡏⠍⢹⠍⣿⠃⠀⠀⠀⡄⠀⠀⠀⠀⠙⠦⣐⣀⣀⠀⣿
⠀⠀⠀⠈⠁⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠋⠉⠟⠋⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⢀⡀⣀⣀⠀⠀⠀⠀⠀⠀⠀⣠⠃
⠀⢀⣀⣀⣒⣖⣒⣒⣒⣒⣒⣒⣒⣒⣒⡒⠒⠒⢒⡒⠒⠲⠓⠀⠉⠀⠀⠀⡌⠀⠀⠀⠈⠉⠁⠐⠒⠊⠉⠉⠒⠤⢀⣀⣀⡀
⣤⣤⣭⣥⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣤⣭⣤⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣽
⣿⣿⣥⣩⣬⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠊⠉⠉⠉⠒⢄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⡰⠁⠀⠉⡀⢹
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡂⢀⠃⠀⡤⠒⢢⣼⢀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠤⡝⠞⠀⠸⣀⣀⣜⠀⢀⡅⣀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣤⣶⠀⠀⠀⠉⠁⠀⠉⠁⠀⠀⠀⠀⠈⠉⠓⢄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠵⠹⡄⠀⠀⠀⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠈⡍⠢⢀⠀⠀⠀⠀⠀⠀⣠⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠈⠁⠐⠒⠈⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠒⡒⠒⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⢀⠔⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢡⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢁⡀⢌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠈⡥⠸⠂⠀⠀⠀⠀⠀⠠⠐⠒
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⠜⠀⢀⣂⠀⠀⡔⠒⠒⠒⠒⠛⣅⡸⢁⡾⢏⠱
⠀⠀⠀⠀⠀⠀⠀⣄⢀⣀⣀⣀⠔⠁⢮⠔⠉⠁⡈⢷⠧⠛⠛⠉⠉⠉⠉⠀⠒⠛⣑⠕⠁
⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣥⣭⣒⣤⠤⠄⣤⣰⣬⡦⢃⣀⡠⠤⠤⠤⢴⣶⣉⣈⠁⠒⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⠍⠉⠛⠿⠽⣭⣆⡒⠐⠒⠀⣪⠟⠛⠁⢀⠄⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠢⡀⠀⠀⠀⢀⣈⠱⠤⠚⠁⠀⠤⠴⠊⠂⢑⠆⠐⢩⡎⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⢾⡁⠀⢀⠀⠀⠀⠀⠀⠀⢕⢒⠏⠀⠀⣉⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠑⠒⠒⠊⠰⠈⠓⠂⠒⠴⠊

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠒⠒⠛⠉⠉⠉⠉⠛⠒⠲⠤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁
⠀⠀⠀⠀⠀⠀⣀⡠⠤⠀⠠⠒
⠀⠀⢀⣠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀
⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄
⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷
⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠐⠀⠀⠐
⠃⠀⠀⠀⠀⡠⠖⠒⠒⠂⠀⠀⢀⣿⡇⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠋⢠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇
⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⢀⡠⣀⠈⠀⠀⠀⣠⡄⠀⣰⠏⣤⠀⢀⡠⠀⠀⠀⠀⠀⠀⠀⢀⠎
⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⣴⠏⠀⠀⢠⡞⠀⣴⠋⠀⡼⠁⢠⠏⣰⠏⠀⠀⠀⠀⠀⠐⠈⡡⠃⠀⠀⠀⢀⡀⢰⠃⠀⢀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠋⠀⠀⠀⠛⠀⠀⠁⠀⠀⠃⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠖⠈⠀⠐⠁⠀⠀⡼⢰⠀⡆
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡀⣐⡠⠔⠊⠀⠀⠃⠸⠀⡇
⠀⠀⠀⠀⠀⢀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠂⠀⠀⠀⠀⠀⢀⡤⠂⠀⢠⠃⠐⡡
⠀⠀⠀⠀⢰⠁⠀⠀⠈⠢⠀⠀⠇⠀⠀⠱⠘⠆⠀⠀⠀⠈⠆⠀⠀⠄⠑⠀⠑⠅⠀⠐⢄⡀⠀⡞⠀⠀⠀⠀⣀⠀⠉⠁⠀⠀⠀⠀⠰⠋
⠀⠀⠀⠀⠀⠀⠀⠐⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀⠀⠁⠀⠀⠀⠀⠀⠈⢉⢉⠉⠉⢨⠀⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⣤⣀⣀⣀⣀⣤⠤⠖⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠌⠀⠀⠈⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠚⠁⠀⠀⠀⠀⠀⠠⠂⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠘

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠏⠉⣛⠃⠀⠀⠀⠀⠀⠠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣦⠀⢳⣤⡌⠓⢱⠄⠢⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣷⡾⣿⣧⡀⠀⠀⣸⣿⠀⠀⠠⢠⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠿⠿⣿⠇⠀⠈⣩⣷⣿⡇⠀⠀⠀⠈⣿⣿⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣟⡁⡄⡄⡀⢚⡵⠞⠹⣿⣿⠇⠀⠀⠀⠀⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣯⡴⠋⠀⠀⠀⣿⣿⠀⠀⠀⠀⠘⢿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⣿⣿⡟⢃⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⢤⣴⣾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣧⡄⠁⠀⠀⠀⣿⣿⠀⠀⠀⠀⢸⢿⣿⠀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣧⣤⣤⣤⣴⣾⢯⣤⣾⣿⣀⣧⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠽⢿⣿⣿⣇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⢿⡾⠁⠀⢹⣯⣝
⠀⠀⠀⠀⠀⠀⠀⠀⢞⡓⠢⠤⢀⣀⣤⣴⡟⢀⠀⠀⠀⠛⠛⢿⣿⡋⠉⠛⠘⠷⠄⢤⣯⡛⢇⣤⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠍⠅⠒⣿⣭⣷⣧⡸⠂⢂⠄⢤⣶⣶⣿⣿⣦⣶⣿⣿⣭⣽⣿⡏⢸⡄⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⢿⣿⣿⡷⢤⣀⣀⠐⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡾⠿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢸⣯⠉⠁⠀⠀⠈⠉⢩⣿⣯⣯⡽⣯⣿⣿⣶⣶⣶⡆⠘⡷⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠬⣀⡀⠀⠀⠸⣿⡀⢀⠃⠚⠛⠀⠀⣿⣿⡿⠿⠟⠛⠛⠛⠁⠀⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠚⠋⠁⠀⠁⠒⠠⠤⠄⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉