⠀ ⣼⠓⢄⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⢹⠀⠀⠱⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⢸⠀⠀⠀⠘⠄
⣤⣤⡤⢤⣀⣀⠀⠀⠀⠀⢀⠃⠀⠈⠒⠢⢤⡀⡁⠀⠀⠀⠀⢀🍓⣤⠤⢄⣀
⡏⠉⠒⠒⠤⡀⠉⠙⠊⠁⠀⠀⠀⠀⠀⠀⠀⠈⢺⠀⠀⠀⣠⠞⢛⠛⠋⡈⡀⠌⢣
⠸⡀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⢀⡖⠛⠲⠀⠀⠱⠀⠀⡎⠄⡁⠄⡁⠄⡀⠄⡁⠸⡀
⠀⠱⡀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠨⠀⢘⠡⡀⠄⡀⠄⡀⠄⡀⠨⡎
⠀⠀⠈⠺⡇⠀⢀⡞⠉⠉⠂⠀⠀⠀⢀⠀⠀⠀⢀⣹⡉⡩⢢⡀⠄⡀⠄⡀⠄⣠⠏⡅
⠀⠀⠀⠀⢇⠀⠈⠃⠀⠀⠀⣀⠜⠓⢻⠀⠀⠀⡰⠗⠉⠀⢀⡍⢦⣄⣤⣴⠟⠋⠀⡸
⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠑⠤⠜⠀⠀⠊⠀⠀⢀⠞⠉⠀⠀⠈⢣⣀⣠⠤⠚⠁
⠀⠀⠀⠀⠀⡳⠧⡥⢦⣆⡀⠀⠀⠀⠀⠀⠀⠀⠠⠊

⢀⡴⣺⠋⡇⠀⠈⢳⡈⠳⣌⠻⡙⣢⡀
⠀⠀⠀⣠⡞⢸⡇⠀⣇⡀⠀⠈⣿⡄⠙⣧⠹⢻⣷⡀⠀⠀
⢀⢺⠛⣿⡇⡿⡇⠀⢻⣷⠀⠀⣿⣷⡚⢿⣧⢠⢿⢿
⢸⣿⡏⡿⡇⣿⣿⣶⠉⣻⢿⡾⠚⣽⣥⣭⣻⠊⡌⣏⢷⡀⠀⠀⠀⠀
⢸⣿⣇⢻⡇⢸⣿⠟⠙⣉⠀⠀⠀⠳⣿⡿⢹⣦⢡⠘⣜⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⣾⣿⠘⢷⢸⢣⠰⠋⠁⠁⠀⠠⠀⠀⠀⢸⠻⣄⢃⠘⣿⣧⠀⠀
⠀⠸⣿⣧⠸⡈⣗⡳⡀⠀⠀⢠⠴⢶⠂⢀⠇⠀⢻⣎⠆⢌⢿⣧⡀
⠀⠀⢻⣿⣯⣇⢹⡄⠉⠂⡄⣀⣉⣁⡴⠁⠀⠀⠀⠻⣮⣎⠢⣝⢿⣆⠀
⠀⠀⠀⠻⣿⣿⣷⣽⣄⣀⠧⠀⠠⠤⢣⣀⡀⠀⠀⠀⠈⠻⣷⡈⠳⣝⠷⣄⠀
⠀⠀⠀⠀⢹⠟⠁⠈⠻⡽⣷⣄⠀⠐⢆⠫⡻⣷⣆⠀⠀⠀⠈⠛⢷⡌⠻⢮⣕⠦⡀
⠀⠀⠀⠀⡌⠀⠀⠀⠀⠹⢯⣛⣦⣀⠈⢇⡵⣜⣿⡄⠀

⢀⡴⣺⠋⡇⠀⠈⢳⡈⠳⣌⠻⡙⣢⡀
⠀⠀⠀⣠⡞⢸⡇⠀⣇⡀⠀⠈⣿⡄⠙⣧⠹⢻⣷⡀⠀⠀
⢀⢺⠛⣿⡇⡿⡇⠀⢻⣷⠀⠀⣿⣷⡚⢿⣧⢠⢿⢿
⢸⣿⡏⡿⡇⣿⣿⣶⠉⣻⢿⡾⠚⣽⣥⣭⣻⠊⡌⣏⢷⡀⠀⠀⠀⠀
⢸⣿⣇⢻⡇⢸⣿⠟⠙⣉⠀⠀⠀⠳⣿⡿⢹⣦⢡⠘⣜⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⣾⣿⠘⢷⢸⢣⠰⠋⠁⠁⠀⠠⠀⠀⠀⢸⠻⣄⢃⠘⣿⣧⠀⠀
⠀⠸⣿⣧⠸⡈⣗⡳⡀⠀⠀⢠⠴⢶⠂⢀⠇⠀⢻⣎⠆⢌⢿⣧⡀
⠀⠀⢻⣿⣯⣇⢹⡄⠉⠂⡄⣀⣉⣁⡴⠁⠀⠀⠀⠻⣮⣎⠢⣝⢿⣆⠀
⠀⠀⠀⠻⣿⣿⣷⣽⣄⣀⠧⠀⠠⠤⢣⣀⡀⠀⠀⠀⠈⠻⣷⡈⠳⣝⠷⣄⠀
⠀⠀⠀⠀⢹⠟⠁⠈⠻⡽⣷⣄⠀⠐⢆⠫⡻⣷⣆⠀⠀⠀⠈⠛⢷⡌⠻⢮⣕⠦⡀
⠀⠀⠀⠀⡌⠀⠀⠀⠀⠹⢯⣛⣦⣀⠈⢇⡵⣜⣿⡄⠀

⢀⡴⣺⠋⡇⠀⠈⢳⡈⠳⣌⠻⡙⣢⡀
⠀⠀⠀⣠⡞⢸⡇⠀⣇⡀⠀⠈⣿⡄⠙⣧⠹⢻⣷⡀⠀⠀
⢀⢺⠛⣿⡇⡿⡇⠀⢻⣷⠀⠀⣿⣷⡚⢿⣧⢠⢿⢿
⢸⣿⡏⡿⡇⣿⣿⣶⠉⣻⢿⡾⠚⣽⣥⣭⣻⠊⡌⣏⢷⡀⠀⠀⠀⠀
⢸⣿⣇⢻⡇⢸⣿⠟⠙⣉⠀⠀⠀⠳⣿⡿⢹⣦⢡⠘⣜⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⣾⣿⠘⢷⢸⢣⠰⠋⠁⠁⠀⠠⠀⠀⠀⢸⠻⣄⢃⠘⣿⣧⠀⠀
⠀⠸⣿⣧⠸⡈⣗⡳⡀⠀⠀⢠⠴⢶⠂⢀⠇⠀⢻⣎⠆⢌⢿⣧⡀
⠀⠀⢻⣿⣯⣇⢹⡄⠉⠂⡄⣀⣉⣁⡴⠁⠀⠀⠀⠻⣮⣎⠢⣝⢿⣆⠀
⠀⠀⠀⠻⣿⣿⣷⣽⣄⣀⠧⠀⠠⠤⢣⣀⡀⠀⠀⠀⠈⠻⣷⡈⠳⣝⠷⣄⠀
⠀⠀⠀⠀⢹⠟⠁⠈⠻⡽⣷⣄⠀⠐⢆⠫⡻⣷⣆⠀⠀⠀⠈⠛⢷⡌⠻⢮⣕⠦⡀
⠀⠀⠀⠀⡌⠀⠀⠀⠀⠹⢯⣛⣦⣀⠈⢇⡵⣜⣿⡄⠀

⢀⡴⣺⠋⡇⠀⠈⢳⡈⠳⣌⠻⡙⣢⡀
⠀⠀⠀⣠⡞⢸⡇⠀⣇⡀⠀⠈⣿⡄⠙⣧⠹⢻⣷⡀⠀⠀
⢀⢺⠛⣿⡇⡿⡇⠀⢻⣷⠀⠀⣿⣷⡚⢿⣧⢠⢿⢿
⢸⣿⡏⡿⡇⣿⣿⣶⠉⣻⢿⡾⠚⣽⣥⣭⣻⠊⡌⣏⢷⡀⠀⠀⠀⠀
⢸⣿⣇⢻⡇⢸⣿⠟⠙⣉⠀⠀⠀⠳⣿⡿⢹⣦⢡⠘⣜⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⣾⣿⠘⢷⢸⢣⠰⠋⠁⠁⠀⠠⠀⠀⠀⢸⠻⣄⢃⠘⣿⣧⠀⠀
⠀⠸⣿⣧⠸⡈⣗⡳⡀⠀⠀⢠⠴⢶⠂⢀⠇⠀⢻⣎⠆⢌⢿⣧⡀
⠀⠀⢻⣿⣯⣇⢹⡄⠉⠂⡄⣀⣉⣁⡴⠁⠀⠀⠀⠻⣮⣎⠢⣝⢿⣆⠀
⠀⠀⠀⠻⣿⣿⣷⣽⣄⣀⠧⠀⠠⠤⢣⣀⡀⠀⠀⠀⠈⠻⣷⡈⠳⣝⠷⣄⠀
⠀⠀⠀⠀⢹⠟⠁⠈⠻⡽⣷⣄⠀⠐⢆⠫⡻⣷⣆⠀⠀⠀⠈⠛⢷⡌⠻⢮⣕⠦⡀
⠀⠀⠀⠀⡌⠀⠀⠀⠀⠹⢯⣛⣦⣀⠈⢇⡵⣜⣿⡄⠀

⢀⡴⣺⠋⡇⠀⠈⢳⡈⠳⣌⠻⡙⣢⡀
⠀⠀⠀⣠⡞⢸⡇⠀⣇⡀⠀⠈⣿⡄⠙⣧⠹⢻⣷⡀⠀⠀
⢀⢺⠛⣿⡇⡿⡇⠀⢻⣷⠀⠀⣿⣷⡚⢿⣧⢠⢿⢿
⢸⣿⡏⡿⡇⣿⣿⣶⠉⣻⢿⡾⠚⣽⣥⣭⣻⠊⡌⣏⢷⡀⠀⠀⠀⠀
⢸⣿⣇⢻⡇⢸⣿⠟⠙⣉⠀⠀⠀⠳⣿⡿⢹⣦⢡⠘⣜⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠈⣾⣿⠘⢷⢸⢣⠰⠋⠁⠁⠀⠠⠀⠀⠀⢸⠻⣄⢃⠘⣿⣧⠀⠀
⠀⠸⣿⣧⠸⡈⣗⡳⡀⠀⠀⢠⠴⢶⠂⢀⠇⠀⢻⣎⠆⢌⢿⣧⡀
⠀⠀⢻⣿⣯⣇⢹⡄⠉⠂⡄⣀⣉⣁⡴⠁⠀⠀⠀⠻⣮⣎⠢⣝⢿⣆⠀
⠀⠀⠀⠻⣿⣿⣷⣽⣄⣀⠧⠀⠠⠤⢣⣀⡀⠀⠀⠀⠈⠻⣷⡈⠳⣝⠷⣄⠀
⠀⠀⠀⠀⢹⠟⠁⠈⠻⡽⣷⣄⠀⠐⢆⠫⡻⣷⣆⠀⠀⠀⠈⠛⢷⡌⠻⢮⣕⠦⡀
⠀⠀⠀⠀⡌⠀⠀⠀⠀⠹⢯⣛⣦⣀⠈⢇⡵⣜⣿⡄⠀