⋆˚𝜗𝜚˚⋆⋆˚
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠟⠁⠤⣾⣿⣿⣿⣿⣦⣂⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⡀⠄⠠⢀⠀⠠⠐⡀⢀⠈⠻⢽⡿⣿⣿⣷⡂⠛⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠟⠁⠀⠄⠡⠐⡈⠐⠠⠈⠄⠡⠐⡀⠢⢀⡀⠙⢿⣻⣿⣿⣶⣶⣶⣶⣄⡉⠻⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡏⠀⠠⠁⠌⠠⠁⠄⡁⢂⠡⠈⠄⠡⢀⡁⢂⠐⡠⠀⠻⣿⡷⣿⢿⣿⣿⣿⣿⣦⠈⠻⣿⣿⣿ ⣿⣿⣿⣿⠃⠀⠄⠡⠉⠄⡁⢂⠐⡀⢂⠡⢈⠐⠠⠐⡈⢐⠠⢁⠀⢹⡟⢿⣿⣻⣾⣿⣿⣿⣧⠀⣿⣿⣿ ⣿⣿⡿⠋⠀⠠⠈⠄⡁⢂⠐⡀⢂⠐⡀⠂⠄⡈⠄⠡⠐⢂⠐⡈⠄⢈⣠⣄⡙⢿⣿⣷⣿⣿⠇⠀⣿⣿⣿ ⣿⠏⠀⠠⠈⠄⡁⢂⠐⡀⢂⠐⡀⠂⠄⡁⢂⠐⡈⠄⡁⠂⠌⠀⣠⣾⣿⣿⠿⢀⣽⣾⣿⣿⠃⠀⣿⣿⣿ ⡏⠀⠠⠁⠌⠐⡀⢂⠐⡀⠂⠐⢀⠁⢂⠐⡀⢂⠐⠠⠀⠁⣠⣾⣿⣿⡿⢋⣴⣿⣯⣿⣿⣽⠀⠀⠈⢻⣿ ⡀⠀⠡⠈⠄⠡⠐⡀⠂⠐⢀⣤⣀⠈⠄⢂⠐⠠⠈⠄⣠⣾⣿⣿⡿⠋⣴⣟⣿⡾⣟⣾⡿⣟⠀⠡⠌⠀⢿ ⡇⠀⢁⠂⠌⠐⠠⠐⠀⠐⢸⣿⣿⣷⣄⠀⠌⠀⣠⣾⣿⣿⠿⠃⠀⠸⣟⣾⢯⣿⣟⣯⣯⣿⠀⠁⠎⡀⢸ ⣿⣆⠀⠐⠈⠄⠡⢈⠐⡀⠈⠹⣿⣿⣿⣷⣤⣾⣿⣿⠿⠋⠀⡐⠠⢸⡿⣽⣺⡷⣿⣻⣷⣿⠀⢈⠒⠀⢸ ⣿⣿⡷⠄⠀⠈⡐⢀⠂⠄⠡⢀⠀⠻⢿⣿⣿⣿⡟⠋⠀⡀⠂⠄⡁⢸⡿⣽⡷⣿⣻⣽⣷⢿⠀⠄⠃⢠⣾ ⣿⣿⡇⠀⢀⠂⡐⠠⢈⠠⠁⠄⠂⠄⠈⠛⠛⠉⢀⠀⠂⠄⡁⠂⠄⢸⡿⣽⣻⢷⣟⣿⣾⠿⠀⢀⣴⣿⣿ ⣿⣿⣧⠀⠀⠠⢀⠡⢀⠂⠌⠠⠁⠌⡐⠠⠐⡀⠂⠌⡁⠂⠄⡁⠂⢸⣟⣽⣽⡿⣯⣿⣾⠁⢸⣿⣿⣿⣿ ⣿⣿⣿⣧⠀⠁⠂⠄⠂⡐⠈⠄⡁⠂⠄⡁⠂⠄⡁⠂⠄⡁⠂⠄⠡⠀⢿⡽⣿⢿⣿⢿⡝⠀⣽⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣆⡈⠀⠡⠐⢈⠠⢀⠁⠂⠄⡁⠂⠄⡁⠂⠄⠡⢈⠐⡀⠈⠻⣽⣻⢾⡯⠁⣴⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⡄⠀⠌⡐⠠⢀⠁⠂⠄⠡⢈⠐⠀⠂⠄⠡⢀⠀⠉⢉⣠⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⠀⠂⠄⡈⠐⡈⠐⠀⠀⣤⣤⣤⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⣤⣅⣀⣥⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠐⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠀⠀⠀⠀⠀⠀⠀⠌⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠁⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠂⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⡀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠂⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠄⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠊⠀⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⠀⠀⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣟⣻⣿⣿⣾⣶⣿⣾⣶⣿⣿⣖⣤⣤⣶⢹⠀⠀⠀⠀⡀⣦⣿⣿⣿⣬⠷⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠀⠀⠀⠀⠋⠿⠺⠀⠉⠚⡷⣿⣿⣿⣿⣿⢩⠚⠔⠤⠀⠐⠃⠘⠉⠉⠀⡄⢻⠀⠀⠀⠋⠐⣄⣿⣿⢿⡈⣧⣿⣼⠧⠺⠛⠉⠉⠉⠈ ⢣⠀⠀⠁⡟⣼⣿⠝⡠⣀⠀⠀⣀⣄⣿⣾⣴⢀⠀⠀⠀⠀⣘⣤⣶⢽⠒⣉⢄⣦⢻⠀⠀⢿⠀⠀⡀⣷⣽⢹⠀⣦⢷⡏⢸⠁⡿⢰⠀⠀ ⠸⠀⠀⠇⣼⠃⣠⣷⠾⠀⠀⠀⠁⠞⣠⠂⠓⡄⠀⠀⠀⠁⢸⠀⠀⡀⢤⡑⢄⠳⣯⢻⠉⣏⣽⠈⠀⡀⣷⡌⠹⠀⠀⣆⢿⡻⣼⠀⠖⠶ ⢸⠀⠃⣿⢠⡟⠀⡏⣤⢷⠿⡾⣠⠉⠉⡈⢀⠀⠁⠋⠛⡿⠋⠈⠀⠀⠀⠀⢄⠑⣄⢷⠈⡀⣀⢀⠀⠀⡀⢷⡘⠰⠀⠀⣟⣿⠰⠀⠀⠀ ⢹⠀⣿⢸⠀⣿⠉⣼⠀⡇⣼⢀⡽⢀⠀⡄⠀⠃⡿⣀⠀⠀⣀⣄⣧⠈⠀⠀⠀⠀⢄⠑⢤⠀⠀⠀⠀⠀⠁⡀⣷⠢⠙⠀⡄⣶⢽⠁⠉⠖ ⡇⠈⣴⢀⠎⣿⣧⢸⠃⡼⠀⠀⡀⢄⠴⡤⠀⡇⣿⢿⠻⠛⠛⠛⠟⢿⠘⠀⠀⠀⠀⠀⢆⠘⠀⠉⠳⠚⣚⢐⡀⠲⡑⠪⠈⠀⣇⢛⠀⠀ ⡀⢲⠈⠀⢀⣷⡿⢿⣾⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⣷⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀⡀⠳⡀⠳⣀⢀⠀⠀⠄⠘⣄⣔⠸⠀⣹⠋⠹ ⠀⠀⠈⠀⠀⡇⣿⣠⢸⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⡗⣿⣿⣶⣶⣽⣞⣠⠀⠀⠀⠀⠀⠀⠀⠀⢧⡈⢦⠈⠀⠀⠀⣆⠈⠡⣯⠀⡄⣿⣿ ⠀⠀⢷⠀⠀⡆⣿⠾⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠢⠒⠒⠔⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⣆⠘⠀⠀⠀⢷⡿⣾⠀⠀⣿⣿ ⠀⠀⡇⠀⠀⠀⢸⣷⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⡄⠘⠀⠀⡀⣻⠀⠀⠀⣇⣿ ⠀⠀⡀⠸⠀⠀⣇⡄⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠁⡉⢸⠀⣆⠈⠀⠀⡇⠀⠀⠀⡇⣿ ⠘⠀⠀⢣⠀⠀⠀⢠⣧⠀⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠓⠿⣸⢁⣏⠿⡟⣼⢸⠀⠀⢣⠀⠀⠀⢰⠀⠀⡇⣿ ⢂⠀⠀⡆⠘⠀⠀⠀⡇⣾⣶⠛⠛⠒⠔⠤⠀⠀⠻⠀⠀⠀⠀⠀⠀⠁⠉⠉⡉⠍⣉⠉⠛⠟⣴⣾⣧⢷⢰⡄⠀⡀⢰⠀⠀⠀⠀⠀⡇⣿ ⢻⠉⠀⠁⣿⠀⠀⠏⡸⢻⡼⣀⣤⣶⠶⠶⠶⠶⣴⣠⠀⠀⠉⠖⠷⠇⠈⠀⡉⣊⣶⣐⣄⢀⡟⢀⡸⡇⠀⠁⢸⠀⠀⠀⠀⠀⠀⠀⡎⣿ ⣆⣿⠹⡆⣿⠀⠀⣾⢳⡈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⣾⢀⠀⡄⡿⢹⠀⠂⠉⠉⠈⠀⡟⢸⡟⠀⡇⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⢨⠀ ⠀⡄⣿⠻⣦⠸⠀⣇⡀⢱⡀⢱⠢⠓⠟⣼⠀⣀⡀⣃⣼⠀⠀⠀⠀⡄⣶⠘⠀⠀⠀⠀⠃⣿⢿⣠⠀⡈⠀⡿⢸⠀⠀⠀⠀⠀⠁⡗⠈⠠ ⠀⠀⡐⣷⢨⣆⠹⡀⢸⡆⠈⡄⠘⠀⣰⣿⣤⠦⠓⡽⠀⠀⠀⠀⠀⠀⠀⢆⠘⠀⠉⠚⡧⢟⣸⠀⠁⢰⠀⣿⢠⠀⠀⠀⠁⠿⢰⠀⢷⠀ ⠀⠀⠀⠀⣄⠙⡀⢦⣿⠈⢣⠀⡄⠹⠸⡀⢱⠃⠀⣸⠠⠀⠀⠀⠀⠀⠀⠀⣦⣹⢀⠀⣺⣿⢰⠀⡞⠀⡏⣼⠀⠀⠀⠀⡏⣠⠀⠀⡷⠘ ⠀⠀⠀⠀⠀⠀⢦⠙⡀⢦⡈⢱⠀⡄⢹⠀⡀⠱⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢳⠀⢸⣷⠀⠀⠀⠀⣮⢀⠀⠏⣧⣿⢈⠀⠀⠀⠁⠸ ⠀⠀⠀⠀⠀⠀⠀⣷⠻⠈⢆⠙⠀⠀⡄⠘⠃⡀⠳⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⢸⡂⠀⠀⠀⠇⢠⠋⡜⢀⡀⡀⢮⠀⠀⠀⡆⢸ ⠀⠀⠀⠀⠀⠀⠀⡇⢹⡀⠢⡈⠳⠈⠀⠀⠀⢣⠈⣧⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⠀⠋⠞⣠⠀⠀⠁⠟⢸⠀⠀⠀⡇⣼ ⠀⠀⠀⠀⠀⠉⠉⢉⣿⠀⠃⣏⡘⢲⠈⠀⠀⠀⢄⠀⣆⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣀⢀⠀⠀⠀⡄⣦⠙⠈⠀⠀⡟⠀ ⠀⠀⠀⠀⣀⢀⠀⠀⣇⠸⡀⢦⠙⠀⡀⢄⠢⠒⠁⠈⠀⡄⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠴⠢⡙⢮⠙⠀⠈⠆⠾⠤⡤⣠⠀⠁⣸⠀ ⠠⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠑⣍⢤⠀⠀⠀⠁⡜⠁⠞⠦⠽⠤⡦⢶⠾⠤⠤⠤⡠⣀⢀⠓⠤⠀⠀⣔⡦⣶⡿⢿⡦⠰⠀⠀⠀⡾⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢣⠈⠀⣀⣃⣵⠋⣻⠴⣀⠀⠀⡀⢢⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠶⠿⠤⡤⣀⢷⠿⠉⠁⡟⢠⠀⠀ ⠀⠀⠉⠀⠀⠀⠀⠀⠂⠄⠤⢦⠟⡤⣯⣾⣠⠄⠀⠀⠀⠀⠀⠀⣄⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠶⠐⠀⠀⣀⣢⣄⢀⠀⠀⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣹⣧⣿⣿⣿⣶⣾⣾⣷⣿⣾⣶⣾⢻⣶⣶⣶⣷⢻⢈⠀⠀⠀⠀⠀⡄⣦⣿⣿⣿⣿⣜⣦⠿⢙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠈⠀⠀⠀⠀⠀⠁⠉⠉⠈⠀⠀⠁⠋⠟⣿⣿⣿⣿⣿⣿⣼⠀⡉⣉⢉⠉⡉⣉⣀⠀⠀⠀⠀⠀⡀⣧⠀⠀⠀⠀⠀⠀⠁⣌⣷⣿⣟⣿⠘⣄⡽⣿⢷⠶⠓⠉⠈⠀⠀⠀⠀⠀⠀ ⠈⠌⠠⠀⠀⠀⠏⣿⣿⣰⠁⠋⠾⣠⣄⣶⣿⣿⣿⣿⣿⣭⢾⣤⣀⠀⠀⠀⠁⠓⣛⣗⢭⠦⠒⠓⠉⡉⣿⠘⠀⠀⠆⡾⣠⠀⡀⣧⣿⣞⣿⠈⡀⢳⣿⢸⡇⣿⣂⣶⣧⠿⠤⡤⣤ ⢇⠰⠒⠁⠉⡟⣿⣡⣿⡿⣈⠀⢀⠀⠀⠀⠀⡀⣿⣿⣴⣀⠀⠀⠀⠀⠀⠀⠇⠸⣀⢄⣳⣜⠦⠓⠈⣀⣦⣿⠘⠀⡀⢳⢉⠀⠀⠀⣧⢿⣎⠹⠀⡀⣦⣇⡟⣿⠀⠏⣫⢰⠀⠀⠀ ⡇⠀⠀⠀⠁⣾⢠⡏⣀⣧⣿⠰⠀⠀⠀⠀⠁⠟⣴⢀⠒⠑⠃⢀⠀⠀⠀⠀⡎⢸⠀⠀⠀⡀⢦⠙⣈⢦⠙⣏⣿⠙⠉⡎⡻⢨⠈⠀⠀⣧⢻⣆⠹⠀⠀⢀⣄⣿⡟⢏⣴⠀⠃⠿⠶ ⡇⠀⠀⠃⡿⡖⠀⣿⠀⡇⣲⠶⠻⠋⠛⠿⣴⢀⠀⠀⠤⣠⠀⠁⠀⠀⠀⠋⢰⢦⠀⠀⠀⠀⠀⠀⣄⠳⡈⣦⣿⣬⣀⣄⣤⢠⢠⠀⠀⠀⣇⢻⡄⢳⠀⠀⠄⣌⢿⣿⠐⠀⠀⠀⠀ ⡇⠀⠁⡿⣿⠄⡧⢹⠀⡏⠐⠀⣷⣿⣾⢀⠋⡴⣀⣄⠳⠀⠀⠉⣋⣶⣶⣶⣲⣕⠻⠟⠀⠀⠀⠀⠀⠀⣄⠳⡈⢧⠘⠀⠀⠀⠀⡀⡁⠀⠀⣶⢿⡙⠀⠀⠀⣆⡾⣿⠉⠀⠀⠀⠁ ⡇⠀⡇⣧⢸⠀⡇⣯⠚⢸⠠⠀⡏⣴⠀⡆⢹⠈⠀⠀⡅⠀⠀⣿⢹⠀⠀⠀⠀⠀⠀⣀⢳⠈⠀⠀⠀⠀⠀⠀⣦⠙⣄⠀⠀⠀⠀⠀⠁⠁⠛⠈⣧⡈⢦⠙⠀⠀⢀⣇⣹⠉⠒⠖⣤ ⡇⠹⡆⡄⠀⠈⡴⣾⢇⢸⠀⠟⣰⠀⠀⠀⠀⣄⠤⠤⣀⠀⡇⣿⣿⢿⠿⠛⠿⠿⠻⠟⡿⢿⠈⠀⠀⠀⠀⠀⠀⡀⢦⠘⠀⠁⠼⠳⡎⡃⣖⠰⠀⢆⠲⡙⢮⠙⠄⠀⣧⢟⠘⠀⠀ ⠀⣾⠙⠀⠀⣄⡶⣿⡇⢿⠏⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⡄⠳⠈⣆⠹⣀⣤⠀⠀⠀⠀⠣⠀⣄⣝⢻⠀⠀⣳⢠⠋⠸ ⠀⡀⡇⠀⠀⠀⠀⣿⣿⣼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣩⠀⣏⣿⣿⣿⣿⣿⣿⣾⣫⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠘⡄⠳⠀⠀⠀⠀⠀⡀⢵⠂⠓⡇⠸⠀⡆⢻⣿⢻ ⠀⠀⡇⢸⠀⠀⠀⣿⣿⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣹⠌⣤⣤⣤⣤⣤⣡⣋⠴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠙⡀⢧⠈⠀⠀⡄⠀⡆⠸⠀⠻⢸⠀⠀⣇⣿⣿ ⠀⠀⡀⢸⠀⠀⠀⣧⣧⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢦⠶⠶⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠸⠀⣦⠈⠀⠀⠀⠀⣧⢭⢯⢰⠀⠀⡇⣿⣿ ⠀⠀⠀⣇⠀⠀⠀⡄⠘⣷⡏⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⠀⣦⠘⠀⠀⠀⡀⣿⢈⠀⠀⠀⡀⣿⣿ ⠀⠀⠀⡇⠈⠀⠀⠀⢻⡀⣿⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⡀⢳⠀⠀⢧⠘⠀⠀⠀⡄⢸⠀⠀⠀⠀⣿⣿ ⠀⠀⠀⠀⢿⠀⠀⠀⡆⠸⣧⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⠰⠋⢉⠄⠤⠿⡟⢸⠀⠀⢧⠀⠀⠀⠀⢳⠀⠀⠀⠀⣿⣿ ⠸⠀⠀⠀⣧⠈⠀⠀⠀⢀⡀⢸⠀⠋⠘⠄⠋⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠖⠥⣾⣶⠀⠉⠟⣯⢿⡿⣸⣇⠀⠈⠀⡀⢻⠀⠀⠀⡆⠸⠀⠀⠀⣿⣿ ⠆⠀⠀⠀⡀⢹⠀⠀⠀⠀⠀⢻⣲⣶⠻⠟⠚⠒⠒⠤⠄⠠⠀⡇⠸⠀⠀⠀⠀⠀⠀⠀⠁⠉⠁⠉⡉⢉⡭⣉⠉⠉⠋⠟⡶⣵⣞⣧⣷⡼⠀⣇⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⠻⢣⠀⠀⠀⣏⠸⠀⠀⠃⠼⡇⠙⠛⣤⣤⣶⢿⠻⠛⠛⠛⠛⠿⣿⣴⠀⠀⠀⠀⠋⠓⠀⠛⣀⠀⡀⣤⣥⣿⣬⣲⣔⢠⠁⣼⠀⣾⡇⢸⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⣳⢿⢻⠀⠀⣿⢸⠀⠀⡇⢿⠀⣼⣷⠀⠀⠀⣀⢀⠀⠀⡀⣉⣀⢀⠀⠀⠋⠿⣴⢀⡀⢹⣿⠸⠀⡀⣀⣀⢀⠀⠀⠀⠃⣿⢀⡟⢀⡇⢸⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣀⣄ ⡀⢷⣯⢻⠀⣿⢸⠀⠀⡇⡀⢹⢸⡄⠸⠀⠀⠀⠀⠀⠉⠀⠁⠈⠁⠋⠏⣼⢀⠀⠀⠀⣆⣺⢻⠀⡀⢦⠒⠒⠖⠠⠁⡾⣼⠏⢸⠀⡇⢰⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠨ ⠀⠀⣦⣝⠻⡌⣷⠈⠀⡆⠘⡄⢹⠀⣇⣜⠤⠓⠟⣿⢸⠀⠀⡀⣀⠃⣼⠀⠀⠀⠀⠀⠀⣆⡖⠘⠀⠀⠀⠀⠀⠀⡇⣿⢡⣼⠀⠀⡇⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠸⠋⠞⢹⠀⢀ ⠀⠀⠱⣌⡻⢮⡀⣷⠘⠀⢿⠀⡇⠈⠀⢣⠬⠀⣸⣇⣽⠤⠷⠛⠉⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠙⠀⠀⠀⠉⠞⣼⡏⡟⢀⠀⠀⣼⠀⡇⣟⢰⠀⠀⠀⠀⠀⡇⢏⣠⠄⡜⠸⠀ ⠀⠀⠀⠀⡀⢦⠙⠀⣦⠳⡌⠸⠀⢻⠀⡀⢧⠈⢸⠀⣦⠘⠀⠈⣇⣾⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢻⠖⣤⢀⠀⢸⢿⣾⠀⠀⠏⢀⠀⡞⣾⠀⠀⠀⠀⠀⠀⣿⣰⠀⠀⠃⣷⠀ ⠀⠀⠀⠀⠀⠀⣄⢷⠘⡀⣦⣿⠘⡄⢹⠀⡀⢧⢸⠀⠀⢧⠘⢹⡇⢸⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢿⠈⠀⠇⢡⣿⢠⠀⠀⣴⠀⡇⣿⢠⠀⠀⠁⠛⠉⡾⢠⠀⠀⠀⡄⡇⠀ ⠀⠀⠀⠀⠀⠀⠤⠀⣆⠹⠀⡀⣦⠙⣆⠘⠀⠀⢧⠈⠀⠀⢧⡈⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢧⠘⡇⡄⣷⠀⠀⠀⠀⠀⢳⣸⠀⠀⠃⣴⣏⣴⢹⠀⠀⠀⠀⠀⢹⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠙⠀⣄⠹⠀⠀⠀⡀⢳⠀⢣⠀⢦⠘⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⡿⠀⡆⠀⠀⠀⠀⠁⡼⠀⠋⠞⣠⠀⢠⠀⣥⠰⠀⠀⠀⠀⣷⠀ ⠠⠀⠀⠀⠀⠀⠀⠀⠀⡇⣏⡀⢦⠙⡀⢧⠘⠀⠀⡀⠰⡀⢳⠀⣆⣿⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠹⠀⠀⠀⠀⠀⡀⢁⠏⣴⢀⠀⠀⠀⠋⣼⠀⠀⠀⠀⠀⡟⠞ ⠀⠠⠒⠀⠀⠀⠀⠀⠆⠘⣿⠸⠀⡀⢦⠘⣕⠲⠀⠀⠀⠀⡀⢶⠈⡄⢷⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠁⠞⣾⢠⠀⠀⠀⠀⡇⣿⣴⠀⠀⠀⠀⠀⣿⠀ ⠀⡀⢀⠀⠀⠁⠋⠚⠒⠒⣗⢻⠀⠦⠺⣖⠒⢦⠓⠉⠀⠀⠀⠀⠀⠀⡀⢷⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⣷⠈⠀⠀⠀⠀⠀⠀⠀⣄⢦⠛⠈⠀⠀⠇⣼⠀ ⠀⠀⠀⠀⠙⣀⠀⠀⠀⠀⠀⣿⠸⠀⣄⠳⠙⠀⠀⡀⣄⠶⠓⠙⠉⠀⠀⠀⣆⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠴⣤⠳⠙⣄⠳⠈⠀⠈⠀⠷⠾⠤⡤⣠⢀⠀⠀⡟⢀⠀ ⠤⠱⠀⠉⠈⠠⠀⠀⠀⠀⠀⡄⢹⠀⠛⡀⣶⠲⠀⠀⠀⠀⠀⠁⡼⠀⠋⠶⠻⠒⠒⠗⠿⠻⠚⠒⠒⠒⠖⠴⡭⣠⢁⠋⠞⠤⠀⠂⣝⠦⣟⢿⣟⢿⠺⣷⠹⠀⠀⠀⠀⠇⣸⠀⠠ ⠀⡀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠻⡀⣄⠤⠤⠤⠦⠾⠠⠏⣡⠛⡴⢌⠀⣀⢦⠙⠀⠀⠤⢠⠀⠀⠀⠀⡀⢀⠀⠀⣄⠀⠀⠀⠉⠉⢉⠈⡁⣍⣼⢷⠛⠉⠀⠀⠀⠋⣾⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡄⠳⠀⠀⠀⠋⣽⢋⡿⢾⣠⢂⠀⠀⠀⠀⠀⡄⢳⠄⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣦⣲⣀⣀⢀⠀⡦⣝⢾⠙⡟⣼⢀⠀⠀⠉ ⠀⠀⠁⠉⠀⠀⠀⠀⠀⠀⠄⡐⣄⣤⣤⢷⡽⣤⣃⣿⣴⢀⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠙⠁⠈⠀⠀⠀⠀⠂⠐⠀⠀⠀⠀⠀⠁⠀⠈⡶⣶⠰⠀⠀⠀⠀⢤⡐⣀⠀⠀⠀⠀⣀
⠀⠀⠀⠀⠀⠀⠀⠉⠛⠞⡾⣣⠐⠀⡟⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⣠⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⠀⠀⣀⡆⣿⣿⣿⢿⣿⣿⢻⢙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⠓⠛⠒⠽⡤⣿⢀⡇⡿⢿⢠⠀⡟⣾⣿⣿⣠⠀⢶⠰⠘⠀⠀⠀⠇⢰⠀⠁⠉⠋⠒⠓⠍⠭⣤⣤⣀⣄⣤⠦⠓⡄⣷⣿⣿⣿⣿⣿⣿⣤⠳⠉⠀⠤⣷⣿⢯⠙⠀⠀⠀⠀⠰⣀ ⠀⠀⣷⠳⠈⠀⣿⢹⡾⢖⢀⠀⡁⣾⣟⣾⢠⠀⠀⣆⢶⢲⠀⠀⡏⡾⠴⣠⣁⣋⠖⠵⣻⣴⣠⣟⠀⠀⠀⠀⠀⠀⢀⠦⣿⣿⣿⣠⢀⠀⠀⠀⣀⣄⠦⠓⣻⢦⣾⠘⠀⠀⠀⠁⠈ ⠉⠀⡀⢳⢧⠉⣿⣰⡆⠀⠀⠃⡾⢇⣾⢠⠀⠀⠃⠑⣿⢠⠀⡏⡿⢀⠋⠴⣠⠋⡔⣀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⢻⠈⠀⠀⠀⠀⠀⠃⠟⣾⣧⠸⣆⣿⣤⣠⠀⠀⢨ ⣀⢀⠀⡆⢿⣿⣰⠎⠀⠀⠃⡰⢃⣿⢀⠀⠈⠀⠋⣺⠶⠴⡦⢧⢻⡴⢁⠞⣴⢀⠀⠀⠀⠀⠀⣰⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⠻⠉⠁⠀⠉⡉⣿⢸⠀⢻⠀⣿⢻⠀⠀⠀⢀ ⠀⠀⠀⡆⣿⣸⠘⠀⠀⠃⣰⠋⣿⢀⠁⠚⢸⠀⠀⠀⠀⠀⠏⣴⢁⠞⣠⠀⠀⠀⠀⠀⠀⠁⠚⠖⡥⢭⠲⠓⠀⠀⠀⠀⠋⠒⠓⠈⡀⣦⣿⢻⣼⠀⣇⢸⠀⣇⢸⣀⣷⢻⠀⠀⠻ ⠈⠀⠀⠃⣸⠀⠀⠀⠁⠛⡴⣾⢰⠀⣰⢤⢠⠀⠀⠀⠀⠟⢡⠏⣰⠀⠀⠀⠀⠀⠀⠁⡾⣠⣀⣀⠀⠀⡀⣄⢿⠸⠀⠏⢀⠀⠀⣄⠳⠀⣄⣿⢠⠀⡀⣿⠀⡼⢸⠀⡇⣿⠘⠀⣿ ⠀⠀⠀⡸⠀⠀⠁⠟⣴⠁⠞⢠⠀⣤⠸⠈⠁⠀⠀⠀⠀⢋⡴⢀⠀⠀⠀⠀⠀⠀⠃⣿⠉⠀⠉⠉⠈⠀⠋⡟⣿⢿⠀⡄⠓⠉⠋⠞⣠⠀⠀⡀⢻⠀⠀⣿⣿⢻⢻⠘⡇⢸⢸⠀⣸ ⠀⠀⠈⠀⠀⠃⡴⢔⡤⣀⠀⠀⠀⠀⣼⢶⣠⠋⡴⠁⠾⣠⠀⠀⠀⠀⠀⠀⠀⠃⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀⠀⡀⢀⠀⠀⠀⠀⠀⡄⢻⠀⣿⣺⣿⣽⡿⡇⢸⢸⡟⢠ ⠹⠀⠀⠀⠃⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡞⢀⠏⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣴⣦⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢿⣿⢿⣿⣴⢀⠀⢠⢾⣿⠀ ⣿⠸⠀⠀⡄⠀⠀⠀⠀⠀⠄⠀⠀⠀⠋⡴⠀⠟⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢦⣙⣦⣶⣿⣿⣿⣿⣿⠹⠀⡕⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣆⣿⣿⠀⠀⠀⠀⢸⢠⠀ ⣿⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠏⢠⠁⡟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠲⠙⣈⣀⣀⣁⣋⠶⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠉⣾⣾⠀⠀⠀⠃⠀⠀⠀ ⣿⠀⠀⠀⠀⠂⠛⠀⠀⠀⠀⠀⡏⢠⠀⡏⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⢣⢸⠀⠀⠀⡆⠀⠀⠀ ⣿⠀⠀⠀⠀⠁⢰⠀⠀⠀⠀⡏⢠⠀⠃⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣸⡏⢠⠀⠀⠀⠘⠀⠀⠀ ⣿⠀⠀⠀⠀⡆⠀⠀⠀⠀⠏⢠⠀⠁⣸⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⣸⠀⠀⠀⠃⢸⠀⠀⠀ ⣸⠀⠀⠀⠀⠀⠀⠀⠀⠁⢰⠀⠀⡆⣿⣿⣹⢉⠛⠾⠆⢶⠙⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⡇⢸⡏⢀⠀⠀⠀⡎⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⡴⠀⠀⠀⠀⣸⡇⣾⣿⣿⢾⠒⠒⢦⣶⣙⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠤⠠⠀⣿⢤⠧⠻⠈⡏⠇⢠⠀⠀⠀⠁⢸⠀⠀⠀⠁ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⢇⣼⢸⣦⣝⣦⢷⠻⠛⠛⠛⣋⠻⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠜⠀⠀⡀⣀⢀⠀⠁⡿⢿⣾⣦⠡⢸⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠐ ⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⡇⢠⣧⠈⣇⠹⣀⢤⡠⣒⣿⣉⣀⢀⠀⠀⠇⠸⠿⠒⠙⠀⠀⠀⡖⣷⣯⠿⠿⠿⠾⠷⡿⣿⣤⣀⣄⠿⡏⢠⢧⠘⠀⠀⠇⣻⠀⠀⠀⠄⠌ ⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⡇⢸⠀⢷⠀⣵⠹⠀⠀⠀⠀⠀⣀⣀⠀⠀⣿⢿⢰⠀⡀⣦⠻⠈⠂⠐⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠃⢰⣸⠃⡿⢻⠀⠀⡇⣷⠰⠀⠟⠜⠌ ⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢷⠀⡇⢸⠀⡆⢹⡇⣷⠈⠄⠦⠲⠶⡠⢀⠀⡏⣧⣼⠀⠀⠀⠀⣄⢿⠚⠙⠉⠈⠀⠃⠉⠈⠀⠀⠀⠈⡞⠀⢹⡾⡄⣸⠀⠀⡇⡿⠀⡟⣱⡴⠀ ⠠⡔⠁⠐⠀⠀⠀⠀⠀⠀⠀⡇⡿⠀⠀⢹⠀⠀⣧⡼⢿⢻⠀⠀⠀⠀⠀⠀⠁⣼⣶⢀⠀⠀⠀⠀⠀⡄⢳⠀⠀⠀⠀⠀⣧⣏⠻⠔⣠⡇⢰⠀⣾⢀⡇⢀⠀⠃⣾⢁⡟⢫⣰⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⢸⠀⣇⠈⠀⡀⢷⢿⣧⠶⠙⠀⠀⠀⠁⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢹⠋⠾⡴⣠⣿⣀⢳⠀⢃⣸⠀⠃⢰⠀⡼⠀⠋⣾⢀⣵⣞⢠⠂⠀⠀ ⢰⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⣇⢿⠀⡄⢹⠀⠀⡇⣿⡄⠸⡀⣤⢤⠿⣿⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠀⠀⡟⣀⠀⡏⠃⣸⠀⠀⣾⠀⡏⢡⠟⣼⠀⠋⣴⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⣄⠻⠈⠁⠈⠀⠀⡄⣽⢸⠀⣆⠀⠀⡀⣿⠈⢸⠀⠀⠟⣼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣸⠏⢠⠀⠀⢿⣰⠀⠀⡏⢀⠃⣾⣠⠐⠃⡾⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⢧⡘⢧⠈⠀⠀⣆⣜⠀⠀⠀⠀⠀⢻⢠⢸⠁⡾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠏⣠⠀⠀⠇⣸⠀⠀⠎⢠⠋⣠⢀⠡⠟⣠⠀⠠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣮⠀⡄⠀⢆⠙⠀⠀⢷⠈⠀⠀⠀⠀⣿⠀⢿⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⠏⢠⠁⠰⠁⡼⠀⠀⠀⢀⠟⢠⠀⠏⡼⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢳⠈⠀⠀⠀⡀⣦⠙⡄⢠⠀⠀⠀⠀⣤⠋⣰⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡾⢠⠁⡼⠁⡼⢀⠀⠀⠋⡴⢀⠋⡴⢁⢿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠄ ⢸⠀⠀⠀⠀⠀⡦⣯⠘⠀⠀⠀⠀⡄⠰⠳⠀⠀⠀⠀⠀⣠⠁⠞⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⣾⢀⠋⣴⠀⡀⠀⠀⠃⡿⣨⠋⡴⢀⠀⡇⣧⡇⢰⠀⠀⠀⠀⠀⠀⠀⠀ ⢳⠀⠀⠀⠀⠋⠶⣠⢀⠀⠀⠀⠀⠀⠀⡀⢿⠀⠀⠀⠂⠖⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠫⣰⢁⠴⢀⠀⠀⠀⠀⠁⠞⡵⢟⣺⠒⠸⠀⣿⣿⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⡀⣤⠦⠒⠓⠚⠀⠀⠀⠀⠋⡴⢁⠚⠶⠳⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡾⢠⠀⠀⠀⠀⠁⠋⠖⡤⣀⠀⠀⠁⠟⣠⠀⠃⣾⢀⠀⠀⠀⣀⣤⠧⠘⠀⠀⠀ ⡀⢻⠀⠀⠀⠀⠀⠃⡽⠋⠟⣹⠟⣿⢚⡵⣀⠀⠒⠑⡈⣀⢤⠶⠒⠓⠉⠉⠉⠉⠉⠉⠉⠉⡉⠉⠛⠛⠀⣄⣹⢀⠀⠀⠀⠀⠀⠛⣽⢉⠉⠀⡟⢰⠀⠀⠀⠀⠀⠦⣠⠀⠀⠀⠒ ⠀⡄⠹⠀⠀⠀⠀⠀⠉⡿⣷⣤⣠⢀⠀⠀⠀⠀⠀⠀⣴⣀⠀⣄⠲⠠⠀⠀⠀⠄⠤⠤⠀⠀⠋⡴⢀⡓⢮⠙⡄⢳⠀⠃⠛⠛⠛⠒⠴⡤⢠⠏⢣⠐⠀⠀⠀⠀⠀⠀⠀⡀⠄⡠⠀ ⠀⠀⣄⠹⠀⠉⠞⣽⣺⠀⣄⣤⢤⣭⣖⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⢀⠀⠀⠀⣀⡁⢤⡳⢮⠙⣬⠳⠈⠀⠀⠁⠟⣦⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡄⣤⣉⡜⢀⠀⠀⠀⠃⠟⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠏⣴⠀⠀⠀⠀⠀⠀⡀⢤⠢⣌⣦⣿⡬⢤⠀⠁⡞⢲⠐⠤⠃⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠚⡟⣛⣷⢾⣴⠀⠇⠹⠉⠉⠀⡉⠉⠀⠈⠟⠤⠥⡾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⠻⠉⣾⢀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠂⠠⠁⠀⠀
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