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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠙⢿⣿⣿⠿⠛⠉⠁⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠉⠛⠛⠛⠿⣿⠇⠀⠀⠀⠀⠀⠀⣀⠉⠁⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠉⢣⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⢼⡀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⣠⠖⠚⠳⣄⠀⠈⢢⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⢧⡀⢈⡧⠤⠞⠹⠤⠤⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢧⠀⠀⠈⠉⢧⠀⠀⠀⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⣠⠔⠋⠀⠀⠀⠀⠀⠀⠸⠀⢠⠔⠋⠉⠉⠉⢀⣀⣀⠤⢤⡄⠀⠀⠀⠀⠀⠹⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⢀⣤⣔⠒⢹⣄⠀⠘⡆⠉⠁⣰⠀⠀⣠⠞⠲⣄⠀⠀⢀⣴⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⢀⡔⠋⠉⠹⠿⠉⠉⠉⠒⣾⠒⠚⠓⠚⢻⡿⠒⠺⣇⣠⣶⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⣠⣇⣀⡀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡰⠁⠀⠀⠀⠀⠀⠀⢀⡞⠉⠳⢄⣀⠀⠀⠀⣀⡠⠞⠁⠀⠀⠈⠙⢦⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⣀⠞⠉⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠉⠁⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⣤⠤⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣈⣽⣿⣶⣶⣦⣤⣤⣤⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⡏⠁⠙⣦⠔⠢⣄⡤⠒⢯⡈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣄⠴⣇⠀⠀⣸⣄⠀⢀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠉⠉⠁⠈⠉⠁⢸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠘⠉⠛⠶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠛⠇⠀⠀⡀⠀⠁⡈⠹⠛⠛⠛⠛⠛⠛⡛⠛⠛⠛⠛⣿⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣟⠃⠀⠀⠀⠀⣀⠀⣀⣀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢀⢸⡀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⠏⠀⠀⠈⠻⠟⠋⠁⠀⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠁⠀⠀⠀⡔⠑⡀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣀⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿ ⣿⣿⣿⣿⣿⣿⠟⠋⠉⠀⠀⠀⠀⢠⠂⡉⠢⡈⡢⡃⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⢀⠼⠄⠈⠈⡄⠀⣀⣀⡱⠀⠀⠀⠀⠈⠙⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⢀⠔⠁⠀⠀⠀⣀⠥⢎⠀⢆⠐⡢⠀⡰⢄⡀⠀⣸⣿ ⣿⣿⣿⣿⣿⣿⡟⠁⠀⠔⠁⠀⠀⠀⡠⠊⠁⠛⠀⠉⡸⠀⠉⠙⠋⢸⣴⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣦⣤⠎⠀⠀⠀⠀⠜⠑⠄⣀⣀⠠⠔⠉⠉⠐⣄⢤⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠐⠀⠒⠁⠈⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⡸⠀⠀⠀⠰⠒⠢⠤⣄⣀⣀⠀⠀⢀⣨⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠇⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠒⢢⡠⢀⡠⢜⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠃⠚⠄⠜⠤⠔⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡇⠉⠒⢤⣄⣀⣀⣀⣀⣀⣀⣀⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡿⠀⠀⠀⡀⣂⡁⠀⠉⠉⠀⠁⠀⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣽⣿⣿⣿⣿⣿⢿⣟⣯⣻⡽⣯⣟⡼⡵⢆⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣉⢚⡰⣸⡆⢍⢣⣑⠲⣶⣒⢌⡲⢄⠣⡌⢭⡙⠧⣩⢑⢻⠆⣻⠃⡕⢪⡱⢭⢣⣍⠻⣜⢧⣏⡼⣣⣯⡝⢮⡽⣟⢯⢯⡽⣭⣛⣾⣹⢏⡽⣻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣯⣿⣾⣿⡿⣽⡾⣏⠟⣾⣋⣖⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢌⡻⡔⠰⣣⣎⢦⡿⣧⢿⣭⠢⡙⣌⢢⠱⣦⡹⣇⠦⡌⣜⡣⣍⠳⡜⣥⢓⣿⠲⣌⢯⡝⣞⡼⣻⢷⣭⢾⣿⣽⣯⣟⡾⣽⣻⣾⣵⣏⡾⣳⢹⣿⣿⣿⣿⣿⣿⣿⣳⢿⣽⢯⣟⣿⢿⣟⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣟⣾⡿⣽⣿⣯⣿⣾⣟⣯⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣾⣛⣼⣯⣜⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢰⣎⡱⣍⡳⢴⣿⢎⣿⣿⡾⣽⣿⣷⣮⣖⣹⣦⣽⣹⣲⣽⡦⣝⣦⢹⣽⣬⣋⣾⣟⣼⣫⣿⣾⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣫⣿⣿⣟⡿⣿⠼⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⢷⡿⠿⠿⢿⣟⣾⡷⣟⡾⣿⢿⣿ ⣿⣿⣿⣿⣿⣿⣿⢻⣷⣿⣻⣿⢿⣻⣾⣧⣻⡽⣳⢦⣀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⡟⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣳⣿⣯⣿⢯⣿⢿⡻⣿⣿⣿⣿⣿⣿⣿⣿⠟⡉⢂⢉⣢⣿⡿⣙⡉⠛⠤⡀⠉⠛⢯⣿⣽⣻⣿ ⣿⣿⣿⣿⣿⢏⡾⣿⣽⣻⣷⣿⡿⣿⡷⢿⣻⣽⢷⡪⣍⡷⡀⠠⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣷⣾⣿⣿⣿⣿⣿⣟⡷⣻⣿⣿⢸⡿⣽⣷⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⠟⡠⢂⡡⠄⢲⣿⡟⠬⠌⠈⠂⠀⠀⡐⠀⠀⢻⣾⣿⣿ ⣿⣿⣿⣿⡃⣾⣹⠿⣿⣻⡽⣿⣿⢷⣿⣏⢿⣞⣧⢻⣐⠻⣽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡽⣷⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⡟⡜⢯⣿⣯⣿⣿⣿⣿⣿⣿⡻⣿⣿⣿⣿⠃⢦⠑⢂⠀⠔⣫⡷⢍⠂⠀⠀⠀⠀⠳⣄⠀⡂⠈⢟⣿⣿ ⣿⣿⣿⠇⣰⠧⠁⠛⠽⠹⡯⢟⠸⡏⢧⠻⣄⠻⣎⢧⠧⣙⠄⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠆⣿⢿⡿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⣻⠸⣿⣯⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⢃⠌⠢⡉⠄⣠⠞⠁⠘⠀⠄⠀⠀⠀⠐⣂⠈⠳⣙⡄⠈⢿⣿ ⣿⣿⡿⢂⣿⢀⡆⣄⢠⣀⢀⡴⣆⣽⣞⣦⣽⣳⣿⣮⢗⢮⠘⡆⣿⡄⢀⠀⠀⠀⠀⠀⠀⠀⣈⠩⢐⣯⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⢧⣿⣯⣻⣿⣿⣿⣿⣿⣿⣟⣿⡟⡠⠎⣵⠁⡼⠁⠀⠀⠀⠀⠀⠀⠀⠘⢥⣄⠣⢪⡙⣾⡄⠌⣿ ⣿⣿⣧⣿⣿⣻⣿⣯⣿⣿⣯⣿⣿⣿⣿⣿⣿⢿⣽⣿⢫⡞⣇⢳⡼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⣯⣾⣿⣿⣿⣿⣿⣿⡿⠟⠋⠜⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠐⠀⠉⢻⣿⣻⣿⣿⣿⣿⣿⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⡱⢨⡇⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣣⠼⣼⣿⣆⢹ ⣿⣿⢣⣿⣿⣿⢻⣯⣿⣯⡍⠀⠈⢰⡟⣿⣿⠛⠉⢹⣷⠙⣯⠘⣷⢻⠀⠐⠀⢠⠀⡖⠀⠀⠀⠀⢠⢳⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠈⣿⣧⢹⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡟⡏⠀⠀⠀⠀⠀⠀⠀⢹⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⢰⣧⣤⠀⠀⠀⢠⣤⣶⡞⠓⠒⠂⠀⠀⢻⡌⠁⢻⣷⡌ ⣿⣿⢸⡗⣿⣿⠻⠭⠿⠛⠀⠀⠀⠀⠉⠉⠁⠀⠀⠈⣷⢙⢸⠣⣿⡞⢬⡡⠖⡈⠴⠁⠒⠀⢀⡠⠄⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡆⠛⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⡿⢸⣿⣟⡛⣀⠀⠀⢩⡶⣶⣶⡶⠖⠀⠀⠈⠀⠃⢸⡟⡆ ⣿⣿⠰⢩⣿⣿⠀⠀⠀⠀⠠⠀⠀⠄⠀⠀⠀⠀⠀⠀⣿⣊⠔⣃⢿⡹⢦⡙⡜⢰⠋⠰⠡⠀⠀⠂⢤⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣀⣤⡤⠼⣷⡈⠘⣿⡿⢯⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⣀⠀⠀⠴⠞⢋⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡇⢻⣿⠿⠿⢩⡇⠀⠈⠛⠛⠉⠀⠀⠀⠀⠀⠐⠉⣸⡇⣏ ⣿⣿⣳⣻⣿⣿⣆⠀⠀⠈⠲⠓⠛⠓⠀⠀⠀⠀⠀⢘⣿⡇⠆⡣⢞⣛⡦⢹⡰⡂⠘⢂⡰⠁⢠⢈⢸⣿⣿⣿⣿⣿⣿⣟⣛⣻⡓⢦⠀⠈⢩⣶⣷⣾⣿⡇⠀⢻⡗⣆⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣬⣤⢠⠀⠀⢾⡿⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⣿⡁⢽⡀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣦⣾⣿⢧⠘ ⣿⣿⣳⢿⣽⡿⣿⣆⠀⠀⣤⣾⣿⣷⣦⡤⠀⠀⠀⣾⣿⠃⡅⣑⣻⡜⣧⠁⠄⢱⣚⠂⡂⠀⠀⠠⢾⣿⣿⣿⣿⣿⣿⠿⣯⠿⠿⠲⡆⠀⠈⠉⠉⠀⠈⣿⢠⢹⠖⣩⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣷⡿⠛⠋⠁⢸⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⣿⡄⢻⡄⠀⠀⢿⣤⡠⠄⠀⠀⠀⠀⠀⠀⠀⣼⣿⢫⣿⢬⢣ ⣿⣿⣏⡿⣞⣿⣻⣿⣦⡀⠘⠻⠿⠟⠋⠀⠀⢀⣴⡿⣾⠀⡔⠢⣽⠻⡼⡌⡝⡠⣍⠀⠄⡀⠡⢀⣿⣿⣿⣿⣿⣿⣿⡔⠀⠂⠀⢠⡇⠀⠀⠀⠀⠀⠀⢽⡇⢺⣥⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣷⡇⠀⠀⠀⣺⡀⢀⡀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡇⣿⣿⣧⠘⣿⡀⠀⣀⣦⣴⣄⣀⣀⠀⠀⠀⠀⣰⢃⡯⣼⣿⡞⡴ ⣿⡳⣞⡝⣻⢷⡿⣿⢿⣿⣦⣄⡀⢀⣀⣠⠴⣿⣿⣟⣿⠀⡆⡑⣯⡿⣱⢃⠼⡕⢺⣠⠥⠌⡡⢄⢿⣿⣿⣿⣿⣿⣿⣯⡄⠀⠀⠻⠵⡤⠖⠂⠀⠀⠀⢸⣟⣾⣷⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡷⣧⠀⠀⠀⠉⢉⠁⡀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⢣⣿⣿⡙⡆⢹⣿⣄⠙⣿⣽⣽⠞⠁⠀⠀⢀⠴⠁⠀⣿⣞⣿⡿⣜ ⣯⣳⢣⡇⣟⣽⣿⣻⣯⢿⣷⠈⠉⠉⠉⠁⢠⣿⣽⣻⢿⡃⠄⡱⢳⣽⡒⣯⠘⡭⢏⡴⣂⢒⠱⣎⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⢀⣠⣤⣤⣤⣄⠀⠀⣼⣷⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣧⡀⠰⣾⡿⢯⣽⡟⣵⣿⣿⢛⡋⠙⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣽⣿⢸⣿⣿⡀⣷⠸⣿⣿⣷⡄⠀⠀⠀⠀⣀⠴⠋⠀⠀⠀⢹⣿⣿⣿⣿ ⣷⣩⡷⢿⣣⢿⡳⢿⡇⣿⣿⣦⠀⠀⠀⠀⠈⢱⣿⣿⢹⣇⠂⡱⡙⣮⣷⢣⡃⢽⠦⣙⣤⣫⠴⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡠⠀⠙⠷⠼⠖⠉⠀⢠⣿⡧⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣷⣄⠈⠉⠉⢁⣾⣿⠋⠋⣿⣇⣀⣹⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣾⢸⣻⣿⢤⢸⠀⣿⣿⣿⣿⠷⠶⠖⠊⠁⠀⠀⠀⠀⠀⢸⡛⠿⣿⣿ ⠿⣷⣏⡿⣃⡞⣿⢺⣏⣽⣿⣿⡀⠀⠀⠀⠀⢘⣿⣿⢌⢿⡀⠣⣜⢹⠾⣭⣳⢎⣿⣟⡾⣽⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠳⢦⣀⣀⣀⣠⠴⠫⢿⢃⣿⣿⣿⣿⣿⣿⣿⡟⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣯⣹⣿⣿⣿⢻⢶⣾⡿⣩⣴⣾⣿⣿⣿⣿⣿⣿⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣼⣟⡯⣱⢸⠀⣹⣿⣿⣟⠣⣀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⢀⠞ ⣤⡿⣧⣏⠽⡅⣿⢹⡯⣼⢿⣿⣷⡀⠀⠀⠀⢸⣿⣿⡞⣸⢧⠱⣜⡎⢿⢳⡽⣾⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠂⠈⠉⠉⠀⠀⠀⡟⠠⢾⣿⣿⣿⣿⣿⣿⣷⣌⣢⣤⡤⣤⣤⣄⡀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣷⡦⢹⣿⡼⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠈⣿⣿⣿⣿⣿⣿⣿⣿⣯⡷⡿⣸⡆⡇⢹⣿⣿⣿⣇⠠⢀⣀⣀⣠⢤⣖⡿⠥⠀⠀⠀⠈⠀ ⢻⡽⣷⣻⡆⣿⢸⣟⣇⢻⡞⢯⢹⣗⠀⠀⠀⣼⣿⣿⣿⣐⠻⣇⡹⡜⠸⡗⣎⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣽⣿⣻⣿⣻⣿⠟⠿⣿⣶⡶⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡷⡄⠻⣿⡲⣜⣻⣿⠼⢻⣿⣿⣿⣿⣿⣿⣷⡖⠒⠿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡿⢼⠃⠇⣸⠛⠟⠋⣹⣿⢿⣿⣷⡾⠋⠀⠀⠀⠀⠀⡘⠀⠀ ⣹⣟⣷⣹⣷⣹⡏⣾⣯⢼⣿⢪⢹⣿⡆⠀⢠⣟⠿⠮⣿⣎⠹⡝⢶⣏⠰⣙⢾⣽⣿⣿⡿⢫⣿⣿⢿⣷⣿⣿⣽⣿⣿⣿⣿⣿⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣙⣽⣷⣿⣿⣶⣷⠀⠻⡷⠟⣭⡕⡀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣧⠀⢻⣷⣼⠏⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⠯⡛⡵⢬⣿⡍⣻⢿⣿⣿⣿⣯⡇⣿⠀⢂⣿⣋⠐⡀⠈⠋⠑⠏⠀⠀⠀⠀⠀⠀⠀⡰⠀⠄⠁ ⣿⣞⡷⣯⢿⣷⢻⣿⡷⣾⣩⣻⡿⣿⣿⣶⣾⣿⣷⣌⣀⣾⣆⡹⢸⣿⠠⣏⡿⣾⣿⣿⢷⣿⣻⣿⣿⡾⢲⢍⣿⣿⣿⣿⣿⣿⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣭⡴⣾⣿⣟⡿⠳⡀⠀⠀⠀⠀⠀⠉⠉⠀⣦⣞⡡⠁⢻⡙⠉⠉⠉⢆⠈⡟⠁⠀⣠⡓⣏⣿⣿⣿⣿⣿⣿⣿⡿⠁⠜⣞⢡⣶⡟⠀⠆⣼⢛⣿⡇⣿⡃⡄⡛⠤⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠂⠀⠀ ⣿⢾⡽⣯⣿⣾⣟⣾⡽⢯⣿⡽⣤⣀⣿⣿⣄⠉⠻⠿⢿⣿⣿⣳⢣⣿⠜⣽⣻⣿⣿⣯⣟⡏⡿⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣟⣰⣟⣻⣿⣿⡟⠀⢈⣃⡀⢶⠨⣧⠠⡄⠀⢹⣿⣧⠶⠰⡇⠁⠀⠀⠨⠊⠀⠀⣴⠿⡴⢃⠿⡿⠟⠛⠉⠉⠉⠧⠀⡰⠁⠤⡁⠀⢀⠀⣬⢾⣿⣟⣿⣧⠄⡑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣴⣆⠉⡀ ⣯⢿⡽⣿⣻⣽⣯⣷⣟⣷⣾⣯⢩⣽⡿⣿⣿⣶⣄⡤⣡⣿⣿⣿⠼⣿⡩⣾⣿⣿⣿⣧⢟⠁⣿⠃⢩⢿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣼⢭⣿⣿⣿⡇⡤⠤⣉⠋⣦⠦⢿⡎⣣⠀⠪⠓⠁⡰⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⢈⡜⣹⡆⠀⠀⠀⢀⡜⢤⢣⠆⣠⣌⢁⠗⠀⠘⣿⡿⠋⠻⣿⠆⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠈⠙⠛⠻ ⣛⢾⣹⣿⣟⣿⣽⣟⣯⣿⣿⣿⣿⣿⡇⠸⠛⢿⣟⣿⣿⣿⣿⡿⡽⣾⡱⣿⣿⣿⣿⣽⡸⠀⡟⠀⣸⣾⣿⠟⢻⡙⠿⣿⡟⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⡿⣿⣿⡇⢤⣀⠨⢕⢄⠑⢄⠻⡟⠀⠀⣴⡞⡻⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠙⠣⠀⠀⢠⡾⠲⠁⠙⣄⢿⠇⠉⠀⠄⠒⡮⠒⠚⠙⡾⣎⣤⡤⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀ ⡹⢾⣹⣯⣟⡿⣷⣿⣿⣿⣿⣏⢽⣿⣿⣶⡾⣿⣿⣿⣿⣿⣿⣏⣟⣿⢸⣿⣿⣿⣿⡟⡇⢸⡇⢠⡷⣿⡿⣿⡟⣻⣶⠻⣿⣷⣾⣿⣿⣿⠻⠿⣖⣶⣶⣲⣶⣶⣶⡶⣾⣿⣿⣿⣿⣿⣿⡃⢸⡿⣧⠐⠈⡮⡊⠫⣡⠀⠂⢉⡑⠢⡀⠈⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⢠⡟⢒⡶⣾⣓⡂⠑⠄⠠⣔⣃⣾⣿⠴⣫⣶⣶⣼⡏⠀⠀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⡇⣾⢷⣯⢟⡯⣟⣾⣿⣿⣌⢺⣿⣟⣩⣿⣿⣿⣿⣿⣿⣿⣧⢿⣻⡽⣟⣿⣿⣿⢹⡇⣸⠁⢸⢸⣿⣯⠟⢯⣜⣀⣿⣿⣿⣻⣿⣛⣿⣿⣿⣾⣫⣿⣧⣖⣼⡿⢿⣿⣿⣿⣿⣿⣿⣿⠃⣼⣿⠟⠁⢀⡗⠃⠀⠈⢦⡀⠘⠆⣀⡕⠂⡊⠶⣤⣀⣀⠀⣸⡀⠀⠀⢀⣀⣴⣻⣧⢞⣠⣥⣐⠬⠙⣧⠀⠹⠦⣼⠿⠃⠀⣸⣿⣿⣾⡇⢻⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣱⢹⣟⣾⣻⢾⣹⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣴⣻⢭⣿⣿⣿⣿⣿⡽⢺⡇⣿⠀⢼⢸⣿⣹⡶⠟⢓⣤⣾⣿⣿⣿⣦⣴⣯⣹⣿⣿⣷⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⢀⣶⣀⣤⡼⠛⠤⡢⡴⡛⠀⠈⢢⡀⢀⠀⠀⠈⢦⣔⡛⢂⠀⠿⡏⠉⢽⠿⡟⢻⣹⢏⣿⣿⣿⣿⣷⡄⠸⣇⠐⢧⠹⢷⣄⢄⠙⠺⠿⣯⠀⣸⠀⠘⢶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⢟⣼⡧⣟⡿⣸⣼⣿⣿⣿⣿⣿⠘⠛⠻⠛⠻⢿⣿⣧⣻⣿⣿⣧⣼⣿⣿⣿⣧⡟⣿⡇⣿⠀⡿⢸⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣻⢧⣿⣿⣜⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠿⠟⢃⢀⡄⠀⡿⠿⣿⠿⠇⣠⡟⠛⠘⢠⣀⠀⠿⣿⠃⢀⡇⢻⠀⢻⣤⣿⣿⠟⡘⡿⣿⣿⣿⡟⡇⠀⢛⡄⠀⣿⣤⢛⢻⡛⠄⠀⠧⢼⡿⡄⠀⠀⠣⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡟⣼⡾⣽⣳⣳⡞⣮⣿⣿⣿⣿⡻⠆⠀⠀⠀⢹⠸⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⠃⣿⠀⣻⣹⣿⣯⣤⣿⣿⣿⣿⣿⠻⢛⣿⣿⣿⣳⢛⡾⢟⣳⣾⣭⡟⣽⣿⣿⣆⡸⢿⣿⣿⣿⠀⢶⢞⣛⢿⣀⠀⠀⠀⣽⡶⣬⠁⠘⡆⠀⠻⠒⡆⠀⣀⠤⢸⣶⠌⡇⢀⢻⡿⢯⣄⠦⢉⡻⠭⠽⠚⠀⢀⣼⣿⠀⠈⠉⠈⠉⢻⣚⢣⡄⣤⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣹⢮⣟⡽⣷⣿⢻⣿⣿⣿⣿⣿⡏⠙⠒⠦⠜⠉⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣏⣾⡿⢸⡏⠃⣹⣼⣿⣿⣽⣿⣿⣿⢟⣅⡰⣾⣿⣿⣟⡻⣿⣷⣶⣶⣾⣷⣾⣶⣿⣿⣿⡗⢻⣿⣿⣿⡰⡞⠞⢿⣧⣉⠀⠀⠀⢿⢾⡿⣧⢀⣹⢴⣀⡴⠴⠎⡀⠀⣾⡏⢀⣷⠀⡷⢾⡹⡛⢾⢷⡆⠀⠀⠀⠐⠌⠙⠛⢇⠀⠀⠀⢀⣤⣻⣶⣩⠥⠐⡄⠀⠀⠀⠖⠋⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣯⢻⡾⣽⣻⣯⣹⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣥⢦⡿⣿⣿⣿⣽⣿⣿⣟⠞⣄⠴⠿⣿⣿⣿⡧⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠛⣿⣿⣿⣏⡃⠄⠀⡷⢡⡶⠀⠄⠈⠓⠻⠓⠋⠉⢺⣟⠀⢢⡀⠀⠀⣿⣓⣫⣤⠐⣰⠺⠡⠩⡍⠉⣀⡀⣄⠠⠀⠂⠔⠀⠘⠃⠘⣿⢆⣢⣭⡇⡻⢬⢹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠ ⣧⡿⣽⡏⣿⣿⣿⣿⣿⣿⣿⣿⣧⡠⡄⠀⠀⠂⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⣼⣇⣿⣿⠉⢹⣿⣿⣿⣶⡀⠀⠄⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣢⣼⣿⣿⣿⡆⣵⣮⣡⡽⠳⢦⢀⢯⡷⢀⣀⡠⠀⠢⠌⠁⠘⠺⢿⣇⡖⢻⣵⢻⣿⠐⣯⣤⣻⢴⡇⠀⣙⡛⢀⡴⢒⠂⠀⢁⠀⠀⣰⣾⢸⣷⢤⡿⢦⢀⢿⢧⡀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠐⢽ ⠫⠔⡉⠄⣉⢹⢿⣿⣿⣿⣿⣿⣿⣛⣿⣾⣿⣾⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣶⣽⣿⣿⣿⠀⠈⣿⣿⣿⣿⣿⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣅⣨⠥⠶⠒⠒⠚⠀⠈⢁⠀⢀⣮⡤⣤⣄⠀⠀⠀⣿⣶⣧⣿⣿⣿⠀⠘⢯⣿⠑⢾⡌⢁⣐⣻⠏⠠⠀⠄⢡⠀⠁⠀⣹⣮⢛⣫⠵⣫⣾⣿⣶⣧⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⡑⠌⡐⠄⠀⡐⢾⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⡿⡍⢩⣿⣿⡿⢿⣿⢿⡿⣿⣿⠿⠶⣿⣿⣿⣿⣿⣿⣿⣿⢗⠩⢀⡀⣴⠆⣤⣄⠀⠀⠀⢿⣿⢾⣤⣥⡟⢿⡀⢸⠀⣴⣠⢿⡿⣿⣇⢠⢰⣾⣿⣦⣬⢿⣶⢌⣽⢃⡈⢤⠹⢷⠀⡀⠀⠉⠁⣈⣤⣶⣿⢿⡡⠃⠤⠐⡈⠄⠉⠉⠉⠙⠒⠲⠤⠄⣀⠀⠀⠀⣾ ⡔⡡⢂⠄⢠⣉⢾⣻⣿⣿⣿⣿⡃⠜⡀⠀⠀⡀⢂⠜⡢⣝⣿⣿⣿⣿⢿⠛⠛⠛⠛⠿⣿⣿⣿⣿⣿⣯⠀⠀⣿⣿⣿⢋⡷⠽⣿⣿⣿⣧⣼⡥⠾⢿⣼⡇⠀⠀⢻⣿⣿⣿⡿⣿⣿⣿⣿⡇⢸⣿⣴⣧⡝⢫⡄⠀⠀⢤⠀⢾⣕⣊⣿⡸⡟⠊⣧⠸⣯⣮⡛⣛⡿⢿⣿⡤⣍⠻⠍⡈⡁⢼⣈⡠⠥⠀⠀⠀⠐⠂⢡⣴⣿⣿⣿⣿⡟⢆⠡⡘⠄⡃⠔⡈⠠⠀⠀⠀⠀⠀⠄⠠⠀⡌⢰⣿⠏ ⡜⡡⢌⠀⠄⡘⣾⢧⣿⣿⣿⣿⡱⡘⠠⠐⠠⡐⢢⢊⠵⣩⢿⣿⣿⣿⣿⣷⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣋⡶⠺⢻⣿⣿⣇⣼⣉⡴⠋⠁⠘⣤⢼⣿⣿⣿⡿⣟⣿⣿⣿⣿⣿⢰⡛⣧⣎⣿⢐⡛⠀⠀⠈⣴⣬⠙⠛⡉⢿⣿⠀⢿⡆⠻⠛⢃⠛⣻⣿⣭⣥⠙⠷⣔⡀⡐⠈⠁⢀⡶⢤⣶⡶⢈⣤⣿⣀⣨⣿⣿⣿⡹⡌⢆⠱⡈⠔⡨⠐⠀⠀⠀⠀⣀⣈⣐⣤⣥⣴⣼⡏⠄ ⣳⡱⡎⢀⠂⡝⡾⣧⣿⣿⣿⣿⡥⡙⠤⢁⠂⡑⢢⢍⣲⣩⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡒⢸⣿⣿⣉⣹⣾⠷⠀⡤⠞⢹⡋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣷⡏⣭⣍⡿⡿⠂⠐⡀⠈⣉⢀⠛⠋⢀⣀⣤⢚⡷⠿⠛⣛⡉⠛⡿⠿⢻⠿⣿⣮⣽⣧⣤⣤⣿⣳⣮⣽⣶⣿⣿⣿⢿⣿⣿⣿⣷⣣⣝⣬⣳⣬⣦⣵⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⡌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⡖⣋⡓⠒⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠛⠀⠀⠀⠉⠉⠁⠀⠁⠀⠀⠀⠀⠈⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠁⠀⠀⠀⠀⡠⠊⠐⠀⠀⠈⠂⢄⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⡠⠂⢀⠄⠀⠀⠀⠀⠢⡀⠑⢦⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡌⠀⠀⢀⠊⢀⠔⠁⠀⠀⠀⠀⠀⠁⠌⠢⡀⠑⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⡜⠀⠀⢀⠡⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠠⠈⢄⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣧⠁⢀⡔⠓⠲⠠⠀⠀⠀⠄⠒⠀⠐⠢⠀⠀⢣⢂⢱⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⡿⠀⡾⣶⣻⣶⡆⠀⠀⠀⢠⣲⣶⣶⠦⠀⠀⠸⢷⢑⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⢰⠀⠀⠉⠉⠀⡀⠀⠀⠈⠉⠉⠁⠀⠀⠀⢀⢙⡶⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⠀⠀⠀⠀⢔⡁⣀⡀⠀⠀⠀⠀⠀⠀⠀⡸⢥⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠸⠘⠀⠀⠀⠀⠘⠓⠔⠓⠊⠀⠀⠀⠀⠀⢀⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⢃⠀⠀⢀⣠⣐⣐⣢⡤⠀⠀⠀⠀⠀⢨⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠈⢄⠀⠀⠐⠀⠠⠞⠁⠀⠀⠀⠀⠀⡂⠨⡏⠑⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡺⣧⡶⣶⠆⠀⠁⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠐⣄⠜⠃⠀⠀⠈⠂⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠛⡝⣀⡾⠋⢞⢿⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠘⠃⡿⡄⠀⠀⠀⠀⠀⠀⠈⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⢯⠋⢀⣳⡿⠁⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠈⠂⢄⡀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⡜⠒⠋⠉⠀⡧⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠀⠀⠀⠠⠃⠀⠀⠀⠀⠈⠒⢄⡀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⢠⠊⠀⠀⠘⡀⠈⠀⠀⠀⠉⠡⠀⠀⠀⠀⠀⢠⡡⡀⠀⠀⠀⡐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⣄⣀⣀⡏⡣⣄⣄⢤⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠇⠀⠀⠀⢀⣿⡕⢌⠀⠈⠁⠐⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠀⠻⣟⠛⠛⠁⣠⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⡇⠀⠀⠀⠞⢏⠄⡯⣦⠍⠀⣀⣜⠅⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⡀⢾⢺⣵⣯⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠄⠀⠀⢠⠁⠀⠀⠀⠀⠀⠑⠭⡟⠒⠉⠕⠏⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠋⠈⣼⣿⣣⡄⡀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⢸⠄⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⢸⠐⠁⠀⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣮⣍⢐⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠃⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⢰⣷⣿⣯⠡⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⢃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣟⣟⣛⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠄⠀⠈⠀⠀⠀⠀⠀⠀
pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠖⠒⠒⠲⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣧⣈⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡰⡃⢀⠂⠀⠀⢡⣴⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⢟⣽⢿⣿⣿⣿⣿⣿⣯⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⢸⡄⠀⡀⣸⡏⣠⠶⣟⣿⣷⢤⡀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠃⡴⣫⠞⣻⡿⡿⠟⡏⠋⠁⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢿⠸⡇⠀⠀⣿⡀⣿⣷⣶⣿⣿⣿⣭⣗⠲⣄⠀⠀⠀⣾⣾⣿⣿⣣⡿⣱⢳⠃⠇⠀⠅⠠⢸⣾⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣏⡞⡇⢿⠀⡁⢘⠁⣸⡸⡻⣿⣿⣿⣿⣿⡷⠾⢽⠚⠉⣽⣿⣿⣿⡿⡿⢁⣟⠀⣠⣧⡀⡠⣸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣾⢿⡸⡄⣇⠰⠀⢹⠇⠁⣿⣿⣿⣿⣿⣿⣟⣶⣶⡿⣿⣿⣿⣿⣿⣥⣾⣿⣴⣿⣧⣧⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⠉⣇⢧⢸⡀⡆⠸⡂⠀⢻⣿⣿⣿⣿⣿⣾⡟⠁⢻⣿⡇⢻⣯⣽⣿⣿⣿⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢧⢹⣼⡌⣇⢻⠀⡇⢠⡀⢷⡈⠛⠿⠿⣿⣧⣄⢸⣻⡀⠈⠛⠿⠿⠿⠁⠀⠸⢿⣿⣿⣿⣿⣿⡷⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⣇⣧⢹⡘⣇⢻⡈⣇⣎⢧⠀⠀⠀⠀⠉⠻⣦⣿⡇⠀⠀⠀⠀⣠⠀⠀⢦⡀⠈⠉⠉⢉⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⣽⡸⡎⣇⢹⡘⣇⠹⡜⣞⡆⠀⠀⠀⠀⠀⢈⣿⣇⠀⠀⠀⠀⢷⣤⣴⣾⡇⠀⠀⣠⣾⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢯⣧⢷⠸⡄⣧⢹⡆⢷⣜⣿⡀⠀⠀⠀⢰⣿⣿⣿⡀⠀⠀⣀⣤⣥⣭⣟⡁⠀⣴⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⡾⣇⢷⡸⡆⢷⠸⡼⣼⣷⡀⠀⠀⣿⣿⣟⣿⣷⣄⠀⢹⣿⣿⣿⣿⢟⣼⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⣿⡌⣧⢹⡈⣇⢳⠹⡝⣳⡀⠀⠈⢿⣿⣿⣿⣿⣧⡀⠙⠛⠛⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣿⣿⡸⡆⢧⢹⡌⣇⠹⡅⠉⠓⠲⣼⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⠿⠿⠉⢿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⣿⣧⢻⡜⣇⢳⡘⣆⢻⡷⠀⢳⡈⠻⣿⣿⢿⣿⣿⣿⣿⣿⣷⠶⢶⣶⣿⡿⠿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣷⣹⡎⣷⡸⡎⢧⠹⡆⠹⡄⣆⢻⣀⣿⣿⢷⣟⣿⣿⣿⣿⣿⣶⡦⢚⣵⣷⣷⣽⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣸⣧⢿⡜⣧⢹⡄⠙⡞⣆⠀⣿⣿⣀⣻⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⣿⠙⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡎⡿⡌⢷⡘⣇⢳⡀⢈⠀⠀⣿⣿⠁⢀⡼⣻⣾⣿⣿⣿⣿⣿⣿⣦⡉⠛⠛⠛⠻⣿⣿⣷⡻⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣗⣇⡃⠈⣇⠸⡆⢳⡘⢦⡀⢸⣿⡖⠋⢠⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⣿⣿⣿⣿⣽⣿⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣧⡨⡉⠁⢝⡈⢳⣠⠷⡽⣿⡇⠒⠀⠀⠀⠹⠿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⢸⣿⣿⣿⣯⣿⣧⢳⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣇⣈⡤⠖⠛⠛⢦⡙⣿⣷⠄⠐⠒⠀⠀⠀⠈⠙⢿⣿⣿⣿⣟⣿⣿⣷⡞⣿⣿⣿⡟⣿⣿⠀⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣤⡙⠻⣦⡀⢹⣺⣿⡠⠄⠄⠂⠀⠀⠀⠀⣠⠽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⣿⣀⣸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣟⠿⣦⡈⠛⢦⣸⣿⣇⠀⣀⠤⠄⠐⠊⠁⠀⠀⠀⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣌⢻⣦⠘⣿⣿⡟⣧⡀⢀⣀⡀⠤⠔⠚⠉⠀⢀⣨⢿⣿⣿⣿⣿⣿⣿⣿⣿⣏⢘⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡝⣷⣸⣿⣷⡀⢿⣄⠄⢀⣀⣀⡤⢴⣺⠿⠚⣁⣬⣿⣿⣿⣿⣿⣿⣟⠻⣿⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣌⣿⣿⡇⠙⣆⠘⠻⣯⣅⣀⣡⠤⠴⠒⠋⢃⣡⢿⣿⣿⣿⣿⣿⣿⣄⣹⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⢿⣇⠈⠈⠳⡄⠑⢎⢳⣤⠤⠴⠖⠛⠉⡴⠻⣿⠿⣿⢿⣿⣿⣿⣻⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣟⣦⢻⣥⠀⠂⠀⠀⠀⠀⢈⡤⠖⠒⠋⣉⣀⣴⣿⣧⠀⠈⣿⣿⣿⣷⣷⣶⣦
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⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡀⠀⠀ ⠀⠀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡇⠀⠀ ⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣶⣤⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀ ⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀ ⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀ ⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⠿⠿⠛⠋⠀⠀ ⠀⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠀⠀ ⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠀⠀ ⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⣿⣶⣤⠀⠀⢀⣴⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀ ⠀⣾⣿⣿⣿⡟⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀ ⢀⣿⣿⣿⣿⠁⠀⢸⣿⣿⣿⣿⠋⠹⣿⣿⣿⣷⠀⠀ ⠘⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⡟⠀⢠⣿⣿⣿⣿⠀⠀ ⠀⣿⣿⣿⣿⣦⣾⣿⣿⣿⣿⠃⠀⣼⣿⣿⣿⡟⠀⠀ ⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠰⢿⣿⣿⣿⠃⠀⠀ ⠀⠀⠈⠻⠿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠈⠛⠋⠀⠀⠀ ⠀⢺⣷⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣷⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⢠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠁⠀⠀ ⠀⢹⣿⣿⣿⣿⣿⣿⠿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⡿⠿⠛ ⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⢸⢛⡾⡽⣱⠃⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢾⣿⣿⡟⠁⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣏⠀⢠⣿⣿⣿⣿⣿⣷⣦⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⣏⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⠳⣤⠀⠀⠀⠀⠀⢀⣀⣤⣶⡛⣧⠁⠀⠀⠀⣠⣿⣿⣿⠀⠀⢀⣼⣿⣿⣿⣿⣿⣧⢿⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡟⠂⢀⣾⣿⣿⣿⣿⣿⣟⢿⡂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⢳⣸⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠚⠿⠶⠖⠚⠛⠉⡽⢾⣿⣷⡼⣧⠀⠀⠀⠈⢹⣿⠏⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⠆⠠⢸⣿⣿⣿⣿⠿⠟⠛⠀⠉⠉⠉⠁⠀⠀⠀⠈⠉⠙⠛⠿⣠⢆⣾⣿⣿⣿⠭⣿⣿⣿⣿⣯ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣧⢻⣏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣸⣿⣿⣷⡹⡆⠀⠀⢀⣿⣏⡀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣴⡄⣾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣶⣄⠉⢻⢿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢫⢸⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢠⡏⣿⣿⣿⣷⠻⣦⣴⣿⣿⣿⣇⢠⣿⣿⣿⣿⣿⣿⣿⣧⡉⢻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⡆⠀⠀⠹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡿⡾⡜⡏⡟⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣸⣿⣿⣿⣿⡇⢹⣿⣿⣿⣟⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣷⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣹⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣷⢿⣿⣿⣿⣿⣿⡀⢿⣿⠟⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡷⣌⣳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠼⢣⢂⢸⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣟⡛⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠋⣽⢋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⡀⢝⣮⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⣸⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡌⢯⡳⣌⢿⣷⡀⠀⠀⠀⠀⠀⢠⠏⠀⠀⣰⣿⣿⣿⣿⣿⣿⡿⣹⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠹⣜⢦⡳⣿⣄⠀⠀⠀⢠⣞⣠⠦⠾⠋⢻⣿⣿⣿⣿⣿⣷⣿⡿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⠟⠁⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣌⢿⣷⡸⣽⡄⢀⣠⠏⠉⠀⠀⠀⠀⢨⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⣸⠃⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣯⣷⡍⠿⣍⣯⣽⠓⡒⠒⠒⠒⣺⣾⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⣴⠃⠀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣻⣹⢆⣦⡔⠧⣄⠙⡲⡿⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⣰⠃⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣤⣠⡞⢿⡙⡓⢙⠧⢧⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⡼⠁⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣏⡘⣿⡦⣍⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⠏⠀⠀⠀⠀⠀⠈⠁⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⡤⠿⠋⠱⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣤⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣽⠁⠐⠤⠤⣤⠤⠥⢹⡆⢽⣶⣶⣦⡈⣙⣋⣩⠒⢶⡀⠀⢀⡈⠀⣀⡀⠁⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢿⡦⠧⠈⠄⠀⠀ ⠀⠁⠸⡀⠀⢀⣀⣀⣾⣿⣾⣧⣅⢻⡿⣿⢿⢿⡤⠤⢽⡤⢤⡤⠤⠼⠄⢤⠤⠤⠤⠴⠗⠒⢶⠶⡖⠒⠚⠛⠛⠛⠧⣤⠴⠶⠄⠀⠒⠒ ⠒⠛⢰⡏⠉⠉⠉⢹⠙⢿⡏⢻⣿⣿⣿⡿⣿⣿⡄⢀⠀⠀⣹⣀⣀⣀⣀⣸⠀⠀⠀⠀⠀⠀⢸⠀⡇⠀⠀⠀⠀⠀⢀⣿⢀⣀⣀⣀⠀⠀ ⢻⣛⣛⣓⣒⣺⡛⠻⣦⣘⣧⣾⣋⣿⣿⣿⡾⠭⠇⠀⢹⡀⢀⣙⣖⣚⣷⣄⡳⠶⠶⠶⠶⡖⠛⠛⢛⣉⣉⣙⣯⣉⣉⣩⣭⣭⣭⣽⣤⣤ ⢩⣩⣿⣿⣍⣽⠧⢤⠤⠴⠞⠆⢲⡖⠒⠚⠒⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⣇⠀⠀⢻⣿⣿⣿⣿⣿⢿⡿⣿⣿⢿⣿⣿⣟ ⠸⠛⠛⠛⡛⢿⣇⣀⣀⣀⣀⣀⠠⠧⢤⡤⠤⠴⣿⡿⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡒⠒⣟⠛⠋⣿⣿⣿⣿⣿⣧⣹⣷⣿⣿⣼⡿⡿⢻ ⢀⣼⣿⣿⠯⣜⣇⠀⠀⠀⣿⠀⣀⣀⣀⣧⣀⣀⣿⢧⣾⣿⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣆⢿⠀⠀⣹⣿⣿⣿⣿⣿⠿⣿⣿⣧⢹⢛⠷⡞ ⢰⣿⣿⣿⣾⣿⡏⣿⠉⠉⠉⠉⣿⠁⠀⠀⠀⢹⣿⣿⡞⠛⠛⠁⡽⡷⣄⠙⢿⣿⣿⣿⣿⣯⠉⠉⠙⠿⠿⠿⣿⠿⠿⠿⠿⠛⠛⢳⡖⠒ ⢨⣽⣿⣿⣶⣿⣷⠚⠒⠒⡶⠒⠛⠒⠒⡖⠈⠉⣿⣷⣷⣾⣦⣹⣿⣽⣟⣿⡺⢿⣿⣿⣿⣿⣀⢀⣀⣀⣀⣀⣿⣄⣀⣤⣤⣤⣤⣼⣧⠤ ⣈⣉⣀⣉⣙⣯⣥⣤⣤⡤⠿⠤⢤⡤⠤⠿⠶⢶⡿⠿⣿⣿⣿⣷⠈⠙⠿⠋⠁⠈⣿⡿⣿⣿⡏⡏⠉⡏⠉⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀ ⠀⠀⠸⡅⠀⠀⠀⢘⣇⣀⣀⣀⣘⣇⣀⣀⣠⣀⣇⣀⣿⡇⠀⢻⣀⣰⢤⠀⠀⠀⢹⣿⣿⣿⣧⣇⣀⣧⣀⣠⣤⣤⣤⣤⣿⣤⡤⠤⣤⣤ ⢲⣛⣋⣉⣉⣉⣉⣉⠿⡍⢿⠉⠀⠀⠀⢹⠁⠉⠻⡤⣿⣿⡄⢈⣯⣤⣤⠧⠀⢀⣾⣿⣿⣿⣿⣧⠀⠀⠀⠀⢸⡇⠀⢀⣠⣴⣖⣿⣹⣴ ⡭⠭⠭⣁⣀⡈⠛⠻⡖⠒⠛⠒⢲⠒⠊⠉⠉⠰⡖⠷⢾⣿⣿⣦⣙⠚⣁⣀⣴⠟⢱⣿⣿⣿⣿⣧⣷⣤⣤⣤⣼⣷⣾⣿⣷⣾⣿⣿⣿⣿ ⢶⣄⡗⠲⣿⣯⠙⠲⠧⠤⣤⠤⠼⠦⠤⢤⠤⠼⠶⢤⣾⣿⣿⣿⣟⣿⣿⠋⠀⢠⣿⣿⣿⣿⣿⢻⠀⣇⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡗⣟⣿⡗⣠⡈⢷⡄⢀⡀⣹⣀⣀⣀⣀⣸⣄⣀⣸⣾⣿⣿⣿⣿⣿⡿⡃⢀⣀⣠⣿⣿⣿⣿⣿⣿⢛⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡻⡟ ⣮⣝⣛⡛⢋⣛⣋⣡⣬⠉⠉⠁⠈⣿⠀⠀⠀⣠⣿⣿⣿⣿⠟⠀⡀⠀⣸⠟⣹⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠛⢿⣿⡿⠟⢟⣛⠇⠒⢳⠹ ⠀⠒⢾⣏⢭⢗⣬⡗⡿⠒⢶⠒⠒⠛⠒⢻⣿⣿⣿⣿⣏⣻⣤⣤⣽⣮⣅⣰⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⢿⣑⣤⣾⣖⡖⡒⣺⢝⢡ ⡆⠤⢸⣾⣿⣿⡮⣿⡧⠤⠼⠤⠤⡤⢤⣾⢿⣿⣿⣿⣿⣿⣿⣿⣶⣽⣿⣿⣿⣿⣿⣿⣿⣏⢿⡇⠀⠀⠀⠀⢻⡹⠁⠀⠈⢏⠆⠁⡨⠺ ⣦⣽⣾⣿⣿⣿⣿⣿⣷⣀⣀⣀⣀⣿⣿⢇⣾⢿⣿⣿⣿⣿⣿⢿⣿⣿⣿⢿⢿⣿⣿⣿⣿⣿⣿⡦⠀⠀⠀⠀⢸⢞⡄⡀⠀⣨⠇⠈⠐⠀ ⠉⠉⠉⠉⠉⠙⡏⠉⠉⣤⠈⡏⠀⣿⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣾⣿⡜⡏⢿⣿⣿⣟⠀⠀⠀⠀⣸⣈⣝⣭⢙⣟⣿⣶⠄⣐ ⠒⠒⠒⢲⡖⠒⠓⠚⢻⡗⠒⠋⠉⢿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣣⣾⣿⣿⣿⣷⣸⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣧⣾ ⠤⠤⠤⠼⠧⠤⣤⠤⠼⠦⠤⣤⠦⢼⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠹⢿⣿⡟⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢼⣿⣿⣟⣀⣽⣿⣿⣯⣿ ⣀⣀⣀⣀⣀⣀⣯⣀⣀⣀⣀⣿⣠⡿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⠷⣧⣿⣿⡇⣸⣿⣿⢻⣿⣿⠀⠀⠀⠀⣸⣿⣿⣿⠿⣿⣿⣿⣿⣿ ⠈⠁⠀⢸⡏⠀⠀⠀⠀⠇⠀⣠⣿⣿⣽⣿⣿⢛⣿⣿⣿⣿⣿⣿⠿⠶⣿⣿⣿⣷⣿⣿⣧⣾⣿⣿⠀⠀⠀⠀⣿⣿⣿⢿⣮⡿⠿⠿⠿⠿ ⠓⢲⡖⠚⠛⠛⢻⠟⠉⠉⠙⣿⣿⡟⣿⣿⡿⢣⣾⣿⣿⣿⡾⠗⢶⣿⣿⣿⣿⣿⣿⣿⣿⣟⡽⢿⠀⠀⠀⠀⢿⣿⡟⣾⣿⣉⡉⡉⠉⠉ ⠤⠼⠧⠤⢤⡦⠼⠷⠶⢶⠶⠿⠿⣿⣿⡟⣴⣿⣿⣿⣿⣿⣾⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣼⡆⠀⠀⢀⣬⠟⣷⣿⣿⣛⡓⠛⣲⣀ ⣀⣀⣀⣀⣸⣧⣀⣀⣀⣸⣀⣀⣼⠟⣿⠀⠉⣿⣿⣿⣿⣿⣿⡋⠳⠾⣿⣿⣻⣵⣿⣿⣿⣶⣶⠞⠁⠀⠀⢸⣿⣾⣿⣿⣿⣿⣿⣿⣿⣛ ⠀⠀⠀⠁⠀⠀⠀⠀⡟⠀⣠⠾⣭⠀⠈⢿⣾⣿⣿⣿⣿⣿⣮⣻⣷⣶⢛⣟⣷⣿⢽⣿⡿⠏⠁⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏ ⠙⠉⠉⠉⠉⡟⠉⠉⣩⠟⣡⣿⣿⣦⣤⣤⣹⣿⣿⣿⣿⣿⡏⠡⣮⣠⣺⣪⣿⣃⡿⠋⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⢿⡷ ⠒⠒⠶⢶⠶⢷⣶⣋⡁⢶⡛⣫⣿⠿⣥⣿⠟⢻⣿⣿⣿⣿⣷⣎⣭⠿⠃⣵⡼⠋⠀⠀⠀⣀⣶⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⠀⣿⡇⢸⣷ ⢤⣤⣤⡤⠤⣾⡏⠁⢀⣼⣿⡿⠻⡇⣿⣿⣶⣎⠻⢿⣿⣻⣇⣰⣤⡤⠚⢹⣷⣄⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣤⣿⣧⣼⣿ ⣀⣀⣀⣀⣀⣾⣇⠀⢸⣿⣿⣿⣷⢷⡇⣌⣸⣿⡆⠀⠉⠛⠛⠋⠁⠀⠀⠸⣻⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣽ ⠉⠉⠉⢹⠏⠁⢿⡆⠸⢿⣿⣿⣿⢺⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⢀⣴⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠚⠛⠛⠛⠛⠻⣟⣿⠳⠶⠮⣿⣿⢸⡽⠛⣡⠀⠀⠀⠀⠀⠀⣠⡞⠻⣜⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢃⣽⢯⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠦⠶⠶⣶⠦⠾⣿⡟⣿⣿⣿⣿⣿⣿⣶⡾⢋⡠⢂⣀⢀⣠⠞⠉⠀⠀⠈⠳⢶⣿⣿⣻⣿⣿⣿⣿⣿⣼⠏⣬⠞⣼⣿⣿⣿⣿⣿⣿⠃⠀ ⣀⣤⣤⣠⣄⣤⣿⠃⠘⢿⣿⣿⣿⣿⣿⣴⣯⣴⣟⣵⠟⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⣟⣿⣿⣿⣿⣿⣿⡴⢁⣼⣿⣿⣿⣿⣿⣿⣿⡆⠀ ⠀⣀⢀⡀⢀⣸⡇⠘⠻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢾⣦⣿⣿⣿⣿⣿⣿⣿⠃⠀ ⠉⠉⠉⢿⠉⢹⠃⠐⠲⠦⠈⠉⢩⠽⣿⣿⣿⣛⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⢻⣿⣿⣿⣿⣿⣿⣿⣇⣾⢷⣿⣿⣿⣿⣿⣿⣿⠄⠀ ⠲⠖⠒⠒⠒⡀⢠⣼⠋⠿⣦⠹⢿⡿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⣿⣿⣿⣿⣿⣿⣿⡏⣰⡏⣿⡿⣿⣿⣿⣿⡿⠀⠀ ⣤⣁⣀⣀⡼⠁⠀⣬⣁⣛⡿⣷⣾⠈⠀⣿⣿⣿⣯⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢻⣿⣿⣿⣿⣿⣿⡿⣿⡟⣵⠇⢿⣿⣿⡏⠀⠀⠀ ⣩⣽⣿⣟⠁⠀⠀⡄⢈⣉⣡⣤⡿⢆⠞⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡉⡷⠋⡴⢋⡏⢸⣿⡋⠀⠀⠀⠀ ⣿⣿⣿⡟⣰⣦⣴⣶⠿⣛⡉⠀⠀⠌⠀⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⠇⠀⠞⠃⠞⠀⠸⠋⠀⠀⠀⠀⠀BLACKBERRY DISA PAINT ⣿⣿⠿⣵⣿⡿⢿⣹⣿⣿⣇⠀⠀⢠⠀⣿⣿⣿⡧⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⡍⠉⢹⡏⠉⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⢻⡝⣫⠟⣝⢫⡛⡽⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⡋⠉⠉⠉⢉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉ ⠆⠀⢸⣟⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⡿⠿⠿⠟⣾⠳⢭⠳⢬⡑⠺⡌⢣⠱⣉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠇⠀⢸⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⢶⡴⣶⢶⠲⣆⢢⡡⢜⣦⠓⠤⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⢂⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⢸⣟⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⠷⠯⠿⢵⣫⣞⡱⢎⢦⠱⢩⣿⣈⠢⣙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡻⡷⢯⣿⣿⣿⣯⠘⠉⠉⠀⠀⠀⠀⠀⠀⠈⣰⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⢸⣦⡀⠀⠀⠄⢂⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⣿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡷⠙⠌⠁⢻⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⢸⣿⣟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⣿⠀⠀⠀⠀⢨⣟⢯⣿⣿⣿⣿⡇⠀⠀⠀⠸⡇⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⣿⠀⠀⠀⠀⠀⡿⣘⢾⣿⣿⣿⡇⠀⠀⠀⠀⡏⣿⣧⣤⣶⣶⣶⣦⣄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⢼⡆⠀⠀⠀⠀⡗⡥⢾⣿⡿⠟⡑⢄⣀⠀⢀⠷⠛⣹⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣢⣤⣜⠂⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⢸⡇⠀⠀⠀⠀⣟⠼⠋⠁⠀⣠⠍⣲⠦⣃⣡⣶⣿⣿⣿⣟⡃⠀⠀⠈⢻⣿⣿⣿⡿⠟⠻⢃⣹⣿⣿⡿⠟⢚⢿⣿⣟⡟⡔⠦⡼⠋⠨⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⢀⠐⢁⣚⠑⠹⠿⣿⠿⠛⠻⣹⡆⠉⢀⢀⣀⢼⣿⣿⣿⣿⢀⡵⣿⣿⣿⣇⢡⣾⡷⡎⢏⡯⢔⠰⠦⣴⢿⡿⠄⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⣀⣒⣯⣶⣶⣶⣦⡄⠠⠤⠴⡠⠀⡰⢡⢢⣜⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⠃⣴⣟⣽⡿⢰⢹⣷⣷⡆⣸⣏⣿⡊⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀ ⣾⠂⠤⢰⡖⠒⠈⠉⠁⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⡀⠘⢢⣴⡇⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣟⡟⠁⢘⠏⠉⠫⣠⣆⣼⣷⢸⡇⠌⠉⡫⡀⠀⠀⠀⠀⠀⠀⡱⠂⠀⠀⠀⠀ ⣿⠀⠀⢸⡿⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⢸⡿⢽⣳⡀⠀⢀⣰⣾⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⢠⢀⣴⣫⣾⣿⣿⣿⣿⣿⠐⢾⣡⡞⠀⠀⠀⠀⠀⠀⡱⠀⠀⠀⠀⠀ ⣿⡀⢀⠘⠛⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠙⠛⠋⡁⣌⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢡⣫⣽⣿⣿⣿⣿⣿⣿⣿⣿⡼⣿⣿⡇⠌⠀⠀⠀⠀⢀⠳⡁⠀⠀⠀⠀ ⠛⠀⠀⢃⠀⠀⠀⠀⠀⠘⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢈⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀ ⠀⠀⠀⠘⠄⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⡿⣼⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣠⠑⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣇⠂⠄⠀⠀⠀⡈⢱⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣷⣥⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣗⣠⣀⣀⡀⠀⠀⠉⠙⠻⣿⣿⣿⣿⠀⠈⠉⠣⠌⠀⠀⠀⠀⢀⠳⡌⠀⠀⠀⠀ ⠀⠀⠀⠚⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠉⠙⢿⠟⠝⠩⡻⣿⣿⢷⡖⡀⣀⠀⠠⠀⠈⠻⣿⣿⡆⠀⠂⠀⢌⠁⠀⠀⢀⠠⢛⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⡄⠊⠁⡄⠀⠠⠶⠆⣥⢌⠨⣚⠃⠀⠀⠁⠓⢦⡀⠐⠄⠹⣿⠏⠓⢄⠀⢌⠀⠀⠔⠀⢀⢯⡔⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⢆⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠈⠀⣀⡶⠉⠀⠀⢀⣈⠈⢷⣿⡆⡀⠀⠀⠀⠀⠀⣾⢶⠈⢾⠈⢇⠀⢀⡷⢈⠎⠀⠀⠀⠰⢎⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠁⠀⠀⠀⠀⠈⠉⣀⠌⣿⣖⠠⠀⣀⡤⠄⠈⢱⡾⠟⠺⡆⠀⢄⠀⠤⣉⠀⢀⠐⠀⠀⡞⡔⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠶⠹⣿⣷⡟⣡⣤⡗⠐⠄⠀⣀⢰⠐⡰⠀⠀⠀⢌⠃⠀⠀⠀⠤⣙⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠋⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠟⠓⢯⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡿⢏⡙⠉⠁⠀⢰⣢⣤⠺⣹⠂⠁⠀⣎⣤⢪⡄⠐⠈⠀⠐⣼⡋⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣧⡣⡁⠗⠤⠄⡌⠀⠀⠀⠀⠀⠀⠀⠀⣡⣿⣿⣧⣝⡖⠄⣀⣆⣡⣶⡛⣿⡀⠀⣸⣠⣤⠻⠀⠀⢠⠠⠑⣼⢣⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣶⣞⠥⠈⠐⠠⠀⠀⠀⠀⢰⣿⣿⣿⣿⣷⣭⡲⢄⣈⠑⠢⡁⠸⠀⠠⡠⡉⠐⢽⢢⠉⠂⠀⠦⣹⢇⠀⠀⠀⠀ ⠀⠀⠀⠀⢘⣧⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡁⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣷⣝⠲⡆⠡⣀⠀⠙⢧⠐⢳⡈⢄⢎⠁⢀⠠⠌⠂⡽⣎⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣾⣥⡘⢦⡀⠈⢲⣿⣷⣌⠮⡜⠀⠀⢠⠘⡽⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠠⠋⠀⠙⢾⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠄⡀⢠⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡑⡀⢀⣿⣿⣿⢣⠄⠠⠌⠂⢡⣛⡖⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠐⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣇⠐⠡⣻⣿⣿⣿⣿⣿⣿⣿⢿⡹⣿⣿⣿⣿⡬⡘⣯⠹⣿⢣⠎⠁⠀⠰⠡⣞⡭⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢈⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢉⠆⠁⠸⣿⣿⣿⣿⣿⣿⣿⣇⠲⠈⢻⣿⣿⣿⣿⡀⢣⠈⣿⡢⡔⠈⠁⢣⢞⡷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀⢠⢄⣿⣿⣿⣿⣿⣿⣿⣿⢀⠃⢸⣿⣿⣿⣿⣧⠢⢀⢿⡁⠀⢠⡘⢆⣻⡼⠀⠀⠀⠀ ⣠⣄⡀⠀⠀⢽⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠠⠜⡄⡆⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⡿⣮⠀⢈⣾⣿⣿⣿⣿⣿⣿⣿⣿⣇⢚⢸⣿⣿⣿⣿⣿⠀⠌⣶⢣⠞⠁⢈⠰⣯⢷⠀⠀⠀⠀ ⢼⣿⠃⠀⠀⢸⡃⠀⠀⡐⠀⠐⠀⠀⠀⢀⠈⣐⠧⠀⢹⣿⣿⣿⣿⣿⣿⠋⢙⣿⠑⠘⣆⢩⣏⣿⣿⣿⣿⣿⣿⣿⣿⡗⡋⠋⣧⢠⠉⢻⣿⡌⠰⣻⢃⣀⠤⣎⠳⣽⡿⠀⠀⠀⠀ ⢺⠇⠀⠀⠀⢸⡇⠀⢀⠁⠀⠀⠀⢨⠤⡀⢡⡞⠁⡄⢸⣿⣿⣿⣿⣿⡇⠀⣼⡟⣀⣰⠇⡞⢘⣇⣿⣿⣿⣿⣿⣿⣿⣧⢁⣔⣽⣮⣚⢼⣿⡌⢢⣝⡷⠎⠁⣤⡝⣯⣿⠁⠀⠀⠀ ⠁⠀⠀⠀⠀⢸⡇⠀⠂⠀⠀⠀⣠⢣⡾⠏⠉⠓⠄⢈⢻⣿⣿⣿⣿⣿⣧⠀⣿⠁⠈⠢⢃⡠⢮⡇⢽⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣯⣿⣿⣷⣿⣽⢲⣰⠾⢃⠹⣽⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣧⠂⠀⠀⠀⡐⢦⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⣿⠀⠀⠀⠀⢺⢀⢄⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⡟⢋⢀⣴⡻⢿⣽⠃⠀⠀⠀ ⠀⠀⢀⠀⠀⠸⠁⠀⠀⠀⠴⣩⣻⠉⠀⠀⠀⠀⠀⣐⣿⣿⣿⣿⣿⣿⢻⡀⣿⠀⠀⠀⢀⠉⣘⣼⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⡷⣮⠿⠃⣽⣿⣿⡁⠀⠀⠀ ⢂⠡⢂⠀⠐⠁⢀⠀⠤⠉⢦⣱⠟⠀⡀⠀⠀⠈⢶⠸⢿⣿⣿⣿⣿⣿⢸⣇⣿⢠⣤⣀⢂⢷⣫⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣡⣤⣿⡿⣽⣿⡅⠀⠀⠀ ⢂⠡⢌⡄⠀⠔⡈⠂⠄⡡⣶⠟⡃⠐⢄⠀⠀⠘⢿⣮⣯⣿⣿⣿⣿⣿⣿⣿⢻⡾⡛⢶⢵⣳⡿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡷⠟⣩⣽⣿⣿⡆⠀⠀⠀ ⢢⡱⠾⠅⠀⠀⢀⡱⣨⠜⠓⠄⡀⠈⠀⠐⠀⠀⣀⣹⣿⣿⣿⣿⣿⣿⡜⣹⡜⣿⡔⠈⡄⠡⣒⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣟⣴⣳⣷⣟⣿⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢔⣒⠂⣀⣀⣤⣄⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⣿⠋⢠⣟⡼⣷⠼⣆⣼⢇⣿⣄⠱⣄ ⠀⠀⠀⠀⠀⠀⠹⣿⡀⣆⠙⠢⠐⠉⠉⣴⣾⣽⢟⡰⠃ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣦⠀⠤⢴⣿⠿⢋⣴⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡙⠻⣿⣶⣦⣭⣉⠁⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠈⠉⠉⠉⠉⠇⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠀⠀⣘⣦⣀⠀⠀⣀⡴⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⢻⣿⣿⣿⣿⠻⣧⡀⠀⠀⠀ ⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠫⣿⠉⠻⣇⠘⠓⠂⠀⠀ ⠀⢅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⢶⣾⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣿⣿⣿⣿⣿⣿⣿⣧⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠹⠻⢿⣿⣿⠿⠛⣄⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⡀⣀⡀⡴⣤⠲⡔⣤⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣤⣴⢾⠉⠃⠈⠁⠈⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡝⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢱⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡆⣀⣤⣤⠊⠀⠀⠀⠑⡀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡟⢀⠀⢠⠀⠀⠘⠃⠀⡇⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠣⡈⢀⡨⠦⢄⣀⡠⠜⠀⠀⠀⠀⠸⣝⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢾⠁⢀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡒⠗⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⠁⠀⠀⠀⠀⢀⡠⢖⠑⣬⢇⡠⠖⠓⠲⢤⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢆⠠⠤⠔⠒⠉⠱⣒⣉⣔⣉⠀⠀⠀⠀⠈⠉⠉⠛⠲⠤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠉⠉⠉⠓⣄⠀⠀⠀⢀⣀⠤⠤⠬⢦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡠⠒⠙⢿⣀⠴⠊⠉⠀⠠⡄⠀⠈⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⣼⡅⠀⠀⠈⡇⠀⠀⠀⠀⠀⡇⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⡇⠀⠀⠀⠀⢀⠇⠀⣠⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⢀⠇⢠⣀⣤⠔⠋⢐⡞⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⡞⢠⣊⣀⡏⠀⠀⣼⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢴⣄⣄⣯⣙⠛⠒⠸⠧⠀⠐⢋⣼⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⡂⠤⠀⠈⠉⠁⠀⠀⠀⠠⢾⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠓⠢⢌⣀⣀⠀⢹⣯⣍⣁⣀⡠⠽⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣗⠤⣄⣀⣀⣀⣈⣉⣹⣺⡶⠥⠤⠤⣒⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⠶⠤⠤⠤⠖⠚⠈⠉⠉⠉⠉⠉⠀⠀
⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬛😶⬛⬜⬜⬜⬜⬛😶⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬛😶😶⬛⬜⬜⬛😶😶⬛⬜⬜⬜⬛⬛⬜⬜⬜ ⬜⬜⬜⬛😶😶😶⬛⬛😶😶😶😶⬛⬜⬛😶⬛⬜⬜⬜ ⬛⬛⬛😶😶😶😶😶😶😶😶😶😶⬛⬛😶😶⬛⬜⬜⬜ 😶😶😶😶😶😶😶😶😶😶😶😶😶😶😶😶😶⬛⬜⬜⬜ 😶😶😶😶😶😶😶😶😶😶😶😶😶😶😶😶😶⬛⬜⬜⬜ 😶😶😶😶😶😶😶😶😶😶😶😶😶😶😶😶😶⬛⬛⬛⬛ 😶😶😶😶😶😶😶😶😶😶😶😶😶😶😶😶😶😶😶😶⬛ 😶😶😶😶😶😶😶😶😶😶😶😶😶😶😶😶😶😶😶⬛⬜ 😶😶😶😶😶😶😶😶⬛😶⬛😶😶😶⬛😶⬛😶⬛⬜⬜ 😶😶😶😶😶😶⬛😶⬛⬛⬛⬛😶😶⬛⬛⬛⬛⬜⬛⬜ 😶😶😶😶😶😶😶⬛⬜⬜⬜⬜⬛😶⬛⬜⬜⬜⬛⬜⬛ 😶😶😶😶😶⬛⬛⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜ 😶😶😶😶😶😶⬛⬜⬛⬜⬜⬜⬜⬛⬜⬛⬜⬜⬜⬛⬜ 😶😶😶😶😶😶⬛⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬛⬜⬜ 😶😶😶😶😶😶😶⬛⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜ 😶😶😶⬛⬛😶😶😶⬛⬛⬛⬛😶😶😶😶😶⬛⬜⬜⬜ 😶😶⬛😶⬛😶😶😶😶😶😶😶😶😶⬛⬛⬛⬛⬜⬜⬜ 😶😶⬛😶😶😶⬛😶😶😶😶😶😶😶😶😶😶⬛⬜⬜⬜ 😶⬛⬜⬛⬛😶😶⬛😶😶😶😶😶😶😶😶😶😶⬛⬜⬜ ⬛⬜⬜⬛😶😶😶😶⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬛😶😶😶😶😶😶😶⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛⬜😶😶😶😶😶⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛⬛⬛😶😶😶😶😶😶⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛⬜⬛⬛⬛😶😶😶😶⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛⬛⬛⬜⬜⬛⬛⬛😶⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ 😶⬛⬛⬛⬛⬜⬜⬛⬛⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛😶😶😶⬛⬛⬛⬜⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜
⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛⬛⬛⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬛⬛⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛⬜⬛⬛⬛🟨🟨🟨🟨🟨🟨⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬛⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬛🟨⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜⬜⬜ ⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜⬜ ⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛⬛⬜⬜⬜⬜ ⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛⬛⬛⬛⬜⬜⬜⬛⬜⬜⬜ ⬛🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬛⬜⬜⬜⬜⬛⬜⬜ ⬛🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜⬜⬛⬜⬛⬜⬛⬜⬜ ⬛🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬛⬜⬜ ⬜⬛🟨🟨⬛🟨🟨🟨⬛⬜⬜⬛⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜ ⬜⬛🟨🟨⬛⬛🟨🟨🟨⬛⬜⬜⬜⬜⬛🟨🟨🟨🟨⬛⬜⬜ ⬜⬛⬛⬛🟨🟨⬛🟨🟨🟨⬛⬛⬛⬛🟨🟨🟨🟨🟨⬛⬜⬜ ⬜⬛⬜⬛⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬛⬛⬛🟨🟨🟨🟨🟨🟨⬛⬛⬛🟧🟧🟧🟧⬛⬜⬜ ⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨⬛🟧🟧🟧🟧🟧🟧🟧🟧⬛⬜ ⬜⬜⬜⬛🟨🟨⬛🟨🟨🟨⬛🟧🟧🟧🟧🟧🟧🟧🟧🟧⬛⬜ ⬜⬜⬜⬜⬛⬛🟨🟨🟨⬛🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧⬛ ⬜⬜⬜⬜⬜⬛🟨🟨🟨⬛🟧⬛🟧🟧🟧🟧🟧🟧🟧🟧🟧⬛ ⬜⬜⬜⬜⬜⬛🟨🟨🟨⬛🟧⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬜⬜⬜⬜⬜⬛🟨🟨🟨⬛🟧🟧🟧🟧🟧🟧🟧⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟨🟨🟨🟨⬛🟧🟧🟧🟧🟧⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟨🟨🟨🟨⬛🟧🟧🟧🟧🟧⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛🟨🟨🟨🟨🟨⬛🟧🟧🟧⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬛⬛🟨🟨🟨🟨⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬜⬜⬛⬛🟨🟨🟨🟨🟨⬛🟦⬛⬜⬜⬜⬜ ⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬛⬛🟨🟨🟨⬛🟦🟦⬛⬛⬜⬜ ⬜⬛🟦🟦⬛⬜⬜⬜⬜⬜⬜⬛⬛🟨🟨⬛🟦🟦🟦⬛⬜⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡤⣤⠄⣤⣄⢀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣺⢫⠾⣞⡻⢋⣶⠿⡃⡺⢅⢋⢢⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣞⣽⣏⠿⣍⠳⣌⡰⢎⡱⢜⢮⠛⢾⣋⢷⢃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⢸⢓⢤⡙⢦⡙⣧⣎⣱⡼⣋⠴⡯⣜⣇⣍⡦⢿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⠟⣦⡛⢂⡿⣅⣺⣭⣷⡖⣿⣿⢿⣿⣿⣾⣦⠜⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣹⠎⣳⣼⣿⣿⣿⣿⡟⡿⠰⡻⠧⠥⡻⡿⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣼⣿⣿⣿⣿⣿⣿⣤⣙⣄⠗⣈⣯⠾⡷⣽⣿⣸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⢻⣿⣿⢿⢿⣳⣾⢵⠎⢢⠼⠻⠻⠟⠢⣧⣿⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣷⣿⡀⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣇⠀⠀⠀⠸⣀⢀⡀⠀⠀⠀⣸⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣼⣿⣿⣿⣿⡄⠀⠀⣀⣤⣀⣤⡀⠀⣠⣿⣿⣿⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣱⣿⣿⣿⣧⣿⣿⠦⡀⠙⠊⠃⠋⢀⣴⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣛⣛⣻⣿⣿⠀⠈⠑⠒⠒⠒⢹⡿⣿⣿⣿⣿⡤⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⠫⠿⢿⠯⡠⢀⠀⠀⠀⠀⠀⢘⡇⠈⠛⠛⠿⠿⠦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢢⠀⠀⠀⠀⠈⠀⢨⠆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⢢⢂⠀⠀⠀⠀⢀⠿⠁⠀⠀⠀⠀⠀⠀ ⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⢊⢢⡀⢀⢀⣦⠎⠀⠀⠀⠀⠀⠀⠀ ⢀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠂⠹⠶⣤⢄⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⠀⠀⡀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⡴⠚⢓⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⢉⣥⠿⠛⠋⠉⠉⠉⠉⠉⠙⠒⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣡⠞⢹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢯⡳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣟⠁⠀⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠻⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⢀⣀⠀⠉⡳⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⢠⠀⠀⠀⣤⠀⢀⣠⢠⣶⣤⣤⣤⣤⣄⣹⣆⣠⡤⠽⠞⣾⣴⣤⢥⣽⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⣷⡀⢰⣇⣠⠖⠋⣉⣹⡿⠿⠤⠤⠤⣸⣏⡤⠶⠒⠒⠙⠛⠓⠦⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⡀⠀⣯⢷⠀⣯⡤⠞⠋⠁⠀⠀⠀⠀⠀⠀⢨⡯⠴⠶⠖⠚⠛⠶⣄⣼⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠙⣧⣸⡇⠈⢷⡈⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⢀⣿⢷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠘⣿⡇⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⢀⣀⣠⣼⣏⡼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢧⣤⣟⠛⠲⠀⠀⠀⠀⠀⠀⢀⣤⠖⠒⠋⠉⠉⠉⠉⠉⠉⠉⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠻⣿⣟⢷⠀⠀⠀⠀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⣩⣏⣀⡴⠃⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⢰⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠠⠀⢠⣶⣿⡿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠘⢸⠀⠢⣤⣀⠀⠀⣀⡠⠴⠚⣹⣿⠾⠟⠿⣿⡏⠉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠐⢶⣾⠿⠃⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⢻⣻⠇⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀⠀⠙⠳⣤⡀⠀⠀⠀⠙⠲⠤⣄⣀⣀⣀⡤⠴⠛⢹⡍⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠉⠓⠢⢤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⡌⢷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣽⢷⡄⠀⠀⠀⠈⡽⡄⣼⠁⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢃⠀⠹⣆⠀⠀⠀⠈⣿⣇⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠈⢳⡀⠀⣼⠃⠈⢳⣞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⠴⠒⠛⠋⠉⠓⠒⠫⣷⡲⢤⣄⣀⣀⣀⣀⣀⣾⡅⠀⠀⠀⠀⠀⠙⠾⠁⠀⠀⠀⠙⣿⠒⢤⣄⠀⠀⠀ ⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠙⢦⡀⠀⠉⠉⠉⠉⠓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀⠉⢶⡄⠀ ⠀⣠⠞⠁⠀⠀⠀⠀⠀⡠⠃⠀⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠹⣄ ⠘⠯⠤⣄⣀⡀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡤⠠⠴⠻ ⠀⠀⠀⠀⠀⠉⠉⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⡄⣸⢷⣀⣴⣆⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠙⠃⠀⠛⠁⠸⠟⢛⣧⡴⠚⡇⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠏⢹⣇⡤⣤⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⣠⠿⢴⡆⠀ ⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⠾⢤⣤ ⠀⠀⠀⠀⣠⢾⡯⣍⣉⢳⡀⠀⣀⣠⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁ ⠀⠀⢠⡾⠛⠻⣿⠲⢮⣕⣽⣻⣿⣿⣖⡦⣉⢣⡀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀ ⠀⢠⠏⠀⠀⠀⠀⠀⠀⡽⠋⠁⠀⠀⠨⣿⣮⡳⣣⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀ ⠀⢸⡀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀ ⠀⠀⢱⢤⠞⠉⠉⠒⢧⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀ ⠀⢠⠏⠘⠦⣀⣀⠀⠈⠣⣀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀ ⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⣀⣀⡎⠀⠀⠀⠀⠀⠀⠀ ⠸⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⣯⣍⣹⠆⠀⠀⠀⠀⠀⠀ ⠀⠈⢹⡒⠒⣶⡒⠲⣤⠤⣀⣀⠀⠀⠀⠀⠀⠲⣄⣸⣧⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠉⠀⠙⡏⢻⣶⣾⣿⣽⣶⡀⠀⠀⠀⣸⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⡨⣿⣿⣿⣿⣿⣿⣆⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠇⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⠋⢰⣿⣿⡿⠿⢟⢿⡃⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠳⠤⣬⡉⠓⢣⠀⠈⠃⢹⡤⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠤⣼⣇⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣄⣀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⣤⣶⡶⢛⠟⡿⠻⢻⢿⢶⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⡾⡫⢊⠌⡐⢡⠊⢰⠁⡎⠘⡄⢢⠙⡛⡷⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⢪⢋⡞⢠⠃⡜⠀⠎⠀⠉⠀⠃⠀⠃⠀⠃⠙⠘⠊⢻⠦⠀⠀⠀⠀⠀⠀ ⠀⠀⢇⡇⡜⠀⠜⠀⠁⠀⢀⠔⠉⠉⠑⠄⠀⠀⡰⠊⠉⠑⡄⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⡸⠧⠄⠀⠀⠀⠀⠀⠘⡀⠾⠀⠀⣸⠀⠀⢧⠀⠛⠀⠌⡇⠀⠀⠀⠀⠀⠀ ⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠒⠚⠁⠈⠉⠲⡍⠒⠈⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠲⣆⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠉⡹⠤⠶⠁⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣦⡀⠀⠀⠀⠀⠧⣴⠁⠀⠘⠓⢲⣄⣀⣀⣀⡤⠔⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣜⠀⠈⠓⠦⢄⣀⣀⣸⠀⠀⠀⠀⠁⢈⢇⣼⡁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠒⠛⠲⣄⠀⠀⠀⣠⠏⠀⠉⠲⣤⠀⢸⠋⢻⣤⡛⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢡⠀⠀⠀⠀⠉⢲⠾⠁⠀⠀⠀⠀⠈⢳⡾⣤⠟⠁⠹⣿⢆⠀⠀⠀⠀⠀⠀ ⠀⢀⠼⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀ ⠀⡏⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀ ⢰⣄⠀⠀⠀⠉⠳⠦⣤⣤⡤⠴⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⣆⠀⠀⠀ ⢸⣉⠉⠓⠲⢦⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣼⢹⡄⠀⠀ ⠘⡍⠙⠒⠶⢤⣄⣈⣉⡉⠉⠙⠛⠛⠛⠛⠛⠛⢻⠉⠉⠉⢙⣏⣁⣸⠇⡇⠀⠀ ⠀⢣⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠒⠒⠒⠋⠉⠀⠸⠚⢇⠀⠀ ⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⢤⣨⠇⠀ ⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢻⡀⣸⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠛⠉⠁⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢠⢄⣀⣤⠤⠴⠒⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⢀⡷⢤⣤⣀⣀⣀⣀⣠⠤⠾⣤⣀⡘⠛⠶⠶⠶⠶⠖⠒⠋⠙⠓⠲⢤⣀⠀ ⠀⠀⠘⠧⣀⡀⠈⠉⠉⠁⠀⠀⠀⠀⠈⠙⠳⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⢀⣈⡇ ⠀⠀⠀⠀⠀⠉⠛⠲⠤⠤⢤⣤⣄⣀⣀⣀⣀⡸⠇⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠖⠒⠒⢲⡦⠖⠋⠉⠁⠀⠀⠀⠈⠉⠙⠒⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⢋⣀⡀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡰⡟⠉⢠⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠒⠒⢢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⠁⢳⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡇⠀⣸⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⢀⣠⣤⠬⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠳⣤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⣤⠴⠊⠁⠉⣁⣄⣼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣽⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠖⠋⠉⠹⡄⠀⣠⠞⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⠀⣧⠞⠃⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⣰⠟⠉⠁⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⣠⠼⠓⠒⠒⠦⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣀⡜⠁⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⣠⡴⠋⠁⠀⠀⠀⠀⠀⠀⠈⠉⠒⢦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢄⣀⠀⠀⠀⠀⢀⣠⠞⠁⠀⢀⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠈⢹⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠸⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠋⠉⠀⠀⢀⡴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠛⠉⣿⡇⣼⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠙⢯⠛⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠋⠁⢠⠤⣖⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⠽⣦⣈⢳⡀⠈⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⢀⡴⠋⢠⣤⡤⢖⣫⣴⣏⡷⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠉⠛⢿⣠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⢀⡴⠋⢀⣰⣿⢩⣤⠞⢁⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⢀⡟⠉⣠⣤⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⢀⣴⠋⠀⣾⣿⡏⢠⡾⢁⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡘⠉⡇⠀⢠⣾⠀⠀⠀⣸⠁⠀⠀⠀⠀⣠⡞⣁⣠⣴⣿⣿⣷⠟⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠲⣶⠚⠁⠀⠀⠀⡏⠀⠀⠀⠀⣠⠏⢀⣿⣿⣿⣿⣿⡏⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠈⡇⠀⠀⠀⣤⣿⣶⣾⣿⣿⣿⣿⣿⣇⠸⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢰⡇⠀⠀⠀⣿⣿⣿⡿⣿⣿⡟⠿⢿⣿⠗⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠈⣧⠀⠀⠀⣿⣯⣿⣎⣻⣩⣇⣦⣈⣿⡇⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠘⣦⠀⠀⠙⢿⣿⠋⠹⣧⣶⣿⣿⣿⢇⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠘⡆⠀⠘⠿⠿⠟⠑⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠛⠿⣄⡀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠲⣧⢤⣄⠀⠀⠀⢠⣷⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠉⠙⠶⢤⣀⡀⠀⠀⠀⠀⠀⠀⠁⠉⠙⣆⠀⠾⢻⣆⡏⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠲⠦⢤⣀⠀⠀⠀⠈⠁⠀⢸⣇⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⢷⡀⠀⠀⠀⠀⡟⠸⡆⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡤⠒⠒⠋⠉⠉⠉⠓⠮⣗⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠙⣦⠀⠀⢰⡇⠀⠹⡄⠀⣸⠦⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⣌⠙⠲⢤⣀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠈⢣⡀⢸⠇⠀⠀⠹⣤⣿⠀⠀⠈⠙⠢⣄⠀⠀⠀⠀⠀ ⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢇⠀⠀⠀⠉⠙⠶⠦⢄⡞⠀⠀⠀⠀⠀⠀⠹⣼⠀⠀⠀⠀⠉⠛⢧⡀⠀⠀⠀⠀⠙⢦⡀⠀⠀ ⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠀⠉⠀⠀ ⠰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠇⠀⠀⠀⠀⠀⠀⠀⠑
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⠤⠶⠦⣤⣄⣀⣀⡤⠶⢶⣶⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠃⠉⠛⢾⣏⠀⠀⠀⣈⣹⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡶⡫⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠙⢷⡴⠛⠉⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠋⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⡆⢀⠀⠀⢷⣄⡀⠀⠀⠀⠎⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠏⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⣶⣦⠀⣼⠁⠉⠙⠳⣤⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⡄⠀⠀⠀⣼⠷⣄⠀⠀⠀⠈⢷⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⣠⠞⢁⣀⡿⠟⢲⣦⡀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣄⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠘⢿⡠⢲⣿⢋⡷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣦⡹⣤⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⢶⡏⠀⠀⠀⢳⡀⠘⢷⣈⣩⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡏⠙⠿⠲⡶⠶⣶⠒⠒⠋⠙⠏⠀⡼⠁⠀⠀⠀⠀⢿⣤⠞⢹⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⡶⢤⡾⠁⠀⠈⠳⠦⣄⡠⠴⠊⠁⠀⠀⠀⠀⠀⠀⠁⠀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣹⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡼⠁⣤⠖⢲⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡖⣶⡄⠉⢳⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡟⠀⠀⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⢚⣥⠟⠁⠀⠀⠀⠹⣷⣶⣍⠛⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠀⠀⣠⠞⣿⠀⠀⠀⠀⠀⣀⣀⣴⣖⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠈⢻⡝⣧⠀⢻⡟⢷⡄⠀⠀⠀⠀⠀⠀ ⢿⣷⠟⠁⠀⠙⠓⠒⠒⠿⠯⠿⠶⠛⠉⠙⠛⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⢠⡇⢸⣧⠈⣿⡄⠙⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣶⣤⣀⠀⠀⠀⣠⡞⠀⢸⣿⠀⠈⣷⠀⠸⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⡾⢸⡟⠉⡿⠒⢺⡍⠀⠀⣸⡟⠀⠀⢹⡇⠀⠹⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⢸⣿⣸⣇⠀⣸⣷⣀⡴⡏⠀⣠⡶⠟⠁⠀⠀⢻⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣯⡿⠸⣿⠈⠙⡷⣟⠉⠉⢠⠇⠻⣯⠀⠀⠀⠀⠀⠈⢳⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣼⠀⠀⢻⠀⢸⠁⣿⠀⠀⣾⡟⠀⢸⡿⣧⠀⠀⠀⠀⠸⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠹⣆⠀⠸⡇⡿⠀⢿⠀⢰⠃⠀⢀⣾⠁⢹⡄⠀⠀⠀⠀⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⣒⠚⢓⣶⣯⠍⠛⠛⠻⣦⠀⣿⡇⠀⠸⣦⡏⠄⢀⣾⠃⠀⢸⡇⠀⠀⠀⠀⢹⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣤⣿⣿⣉⣿⣭⣿⣷⣦⡄⠺⣇⢹⡇⠀⠀⡿⠀⢀⣾⠋⠀⠀⢸⡇⠀⠀⠀⠀⢹⡇ ⠀⠀⠀⠀⠀⠀⠀⢀⡞⢁⣀⣠⣿⣧⣥⣦⣀⡈⠻⠇⠰⣿⡌⣿⠀⣼⠁⢀⣾⠃⠀⠀⠀⢸⡇⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠈⢷⣤⠶⠴⣄⣽⠿⠿⠿⢿⣇⠀⠀⢹⣿⣾⣷⡇⣰⠟⠁⠀⠀⠀⢀⣾⡇⠀⠀⠀⠀⣸⠁ ⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⣤⣴⡾⢧⣴⣶⣤⣄⡉⠀⠀⠀⢻⠛⠛⢻⡟⠒⠒⠒⠒⠒⠛⠉⠀⠀⠀⠀⢀⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⣴⡇⢸⣿⢷⣄⠀⠀⢸⡇⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⣀⣠⡟⢀⣼⣫⣬⠿⠦⣤⡞⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡾⠏⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠷⠶⠶⠿⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣀⠀⠀⡀⠀⠀⠀⠀⠀⠀ ⢰⣦⣄⣾⠻⣦⡾⠻⣦⡟⠹⣦⡾⢻⣤⡾⢷⣀⣴⡆ ⢸⡇⠙⠃⠀⠙⠁⠀⠉⠀⠀⠉⠀⠀⠛⠀⠈⠛⢹⡇ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀ ⢀⡿⠀⣀⣠⣄⣀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⡀⢿⡄ ⠸⣷⠟⠉⠀⠀⠉⠻⣦⠀⠀⢠⡾⠋⠁⠀⠈⠙⢾⡇ ⢰⡏⠀⠀⣀⡀⠀⠀⠸⡇⠀⡿⠀⠀⢀⣀⠀⠀⠈⣷ ⠸⣇⠀⠀⠛⠃⠀⠀⢰⡇⠀⣧⠀⠀⠘⠛⠁⠀⢀⡿ ⢀⡿⣦⡀⠀⠀⢀⣠⡟⠀⠀⠘⣧⣀⠀⠀⠀⣠⣾⡇ ⢸⢩⠈⠙⠛⠛⠋⠁⠳⣤⣤⡼⠃⠉⠛⠛⠛⠉⡨⣳ ⠘⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⠃ ⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡃⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡴⠛⠲⢤⡀⠀⠀⣠⡴⠋⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠒⠮⠉⠉⠑⠀⠀⠀⠀⠹⣄⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀ ⠀⠀⣀⣀⣀⣀⡤⢏⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⣿⡇⠀⠀⠀⠀ ⠀⢾⠉⠉⠁⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀ ⠀⠈⣧⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀ ⠀⠀⠈⣧⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣀⠀⠀⡄⠀⠀⠀⠀⠘⠆⠀⠀⠉⠓⢲⡄ ⠀⢀⠔⢫⠚⠀⠀⣆⠀⠀⣆⠀⢹⣤⠞⠉⠉⣭⣽⢧⡀⣠⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀ ⢾⡁⢰⣇⢀⡀⢀⠼⠛⡋⠙⠳⡾⠁⠀⠀⠀⠛⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⢠⡋⠀⠀ ⠀⠙⠲⢍⣀⣙⡟⠀⠀⠿⠒⠀⢱⡀⠀⠀⠀⠀⠀⢀⡟⠀⠀⣠⣤⡀⠀⠀⠀⠳⡄⠀ ⠀⠀⠀⠀⠩⠭⣷⡀⠀⠀⣀⣤⡤⠟⢦⣄⣀⣠⡴⠋⠀⠀⠘⢵⣾⢳⠀⢀⣠⡴⠛⠀ ⠀⠀⠀⠀⠀⠀⠈⢹⠶⣾⠁⠀⠀⣀⠀⠀⠀⠀⠀⠀⢠⣄⠀⢾⡿⠏⢠⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⠀⠈⠛⠒⠋⠁⠀⠀⠀⠀⢀⣠⠼⠋⠀⣿⣤⣀⣸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠆⠀⠀⠀⢀⣀⣀⠤⠴⠚⠋⠀⠀⠀⠀⣿⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⢓⣶⠀⠀⠀⠀⢀⣠⣤⡟⢧⠉⢷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠉⠈⠱⣏⠙⣏⠉⣧⣠⡷⠾⠀⠀⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⡇⠀⠀⠙⡞⠉⠉⠁⠀⠀⣷⠀⠀⣾⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⢠⠀⠀⠀⠻⣦⠤⠤⠴⠛⣿⠀⠀⢿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠹⡄⠀⠀⠀⣿⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⢳⡄⠀⠀⠀⠀⢻⡄⠀⢰⡟⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢯⡟⠀⠹⣆⠀⠀⠀⠀⠻⡦⠼⣇⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢧⡟⠀⠀⠀⠘⢦⡀⠀⠀⠀⣴⠖⣛⣄⠀⣿⠁⠀⠀⠀ ⠀⠀⠀⢀⣴⠿⠷⡢⣄⡼⣡⠏⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⢹⡿⣥⡼⢛⡏⠀⠀⠀⠀ ⠀⠀⣴⡿⡁⠀⣠⠾⣫⡾⠃⠀⠀⠀⢀⠀⠀⠀⠀⠀⠙⠲⢬⣿⣿⣿⣾⢿⡀⠀⠀⠀ ⠀⣰⣿⣧⡇⠀⣿⠞⢻⣷⡀⠀⠀⠀⢸⡶⠀⠀⢢⠀⠀⠀⠈⠙⠻⣿⣮⣻⢿⡀⠀⠀ ⠀⣿⣟⢿⣧⠀⠀⠀⢸⣷⣧⢶⣶⡄⢨⣿⣆⠀⣷⣦⣄⠀⣼⣇⠀⡘⡏⠛⠶⠿⠆⠀ ⠀⠻⣿⣾⠿⣤⠀⠀⠀⠁⠀⣰⡿⠿⠋⠈⣿⣷⡏⢹⣮⣿⢻⡏⠻⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⠓⠶⠚⠛⠁⠀⠀⠀⠀⢠⣿⠀⠀⠘⠃⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠉⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣥⣤⣤⣤⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠿⢋⣉⣉⣛⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣽⠟⠉⠙⠀⠉⣻⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡙⠛⠒⠒⠚⠛⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡀⠀⠀ ⠀⠀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡇⠀⠀ ⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣶⣤⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀ ⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀ ⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀ ⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⠿⠿⠛⠋⠀⠀⠀ ⠀⠀⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢿⣿⣿⣶⣶⣶⣶⣶⣶⡆⠀⠀ ⠀⠀⠀⠀⠙⠻⠿⠿⠿⠿⠿⠿⠇⠀⠀ ⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⣿⣿⣿⠉⣿⣿⡏⠉⣿⣿⡇⠀⠀ ⠀⠀⣿⣿⣿⠀⣿⣿⡇⠀⣿⣿⡇⠀⠀ ⠀⠀⢿⣿⡿⠀⠿⠿⠇⠀⣿⣿⡇⠀⠀ ⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠈⠛⢿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀ ⠀⠀⣠⣤⣤⣬⣽⣿⣿⣿⣿⣦⡄⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠻⢿⣿⣿⣿⣿⡛⠛⠛⠛⠃⠀⠀ ⠀⠀⠀⠀⠉⠻⢿⣿⣿⣷⣦⣀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠀⠀ ⠀⠀⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⡄⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⣿⣿⣿⠉⣿⣿⡏⠙⣿⣿⡇⠀⠀ ⠀⠀⣿⣿⣿⠀⣿⣿⡇⠀⣿⣿⡇⠀⠀ ⠀⠀⣿⣿⣿⠀⣿⣿⡇⠀⣿⣿⡇⠀⠀ BLɅϽKPIИK BLIИK🖤🩷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠖⠶⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⢀⣴⠛⠲⡆⠀⠀⠀⢀⣴⣾⠟⠀⢀⣀⡀⠀⢻⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⠀⠀⠀⠀⠀⢀⣴⡏⠘⣧⢠⣿⣿⠀⠀⡷⠀⠀⣴⣿⡿⠁⠀⣼⣾⣿⣿⡄⠀⣽⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⡋⠹⢽⠁⠀⠀⣀⣠⣿⣿⡇⠀⡿⠸⣿⣿⠀⢀⡇⠀⣼⣿⡿⠁⠀⣼⡿⠻⢿⡟⠁⠀⣼⠀⠀⠀⠀⠀ ⢠⣤⡶⠶⠦⠤⠴⠿⠟⠁⠀⠙⠛⠛⠋⠁⢈⣿⣿⡇⠈⣷⠀⢿⣿⠀⠐⣇⣸⣿⡿⠁⠀⠰⣿⣥⠶⠛⠀⢀⣴⣿⠀⠀⠀⠀⠀ ⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⣿⠇⠀⠻⣤⣼⠿⠂⠀⢻⣿⣿⣷⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⠏⠀⢀⣤⣀⠀ ⠹⢿⣿⣿⣿⣿⣿⣿⣶⠀⠀⣾⣿⣿⡿⣿⣿⡟⠁⠀⠀⠀⠈⠁⡀⠀⠀⣸⣿⣿⣿⡆⠀⠰⣶⣿⣿⣿⣿⠟⢁⣠⠴⠋⠉⣽⠇ ⠀⠀⠀⠉⠉⠉⠉⣿⣿⡄⠀⢹⠁⠀⠀⢸⣿⣿⣶⠀⠀⣼⣿⣿⣿⠀⠀⣏⠘⣿⣿⣷⣄⠀⠙⠛⠿⠿⠷⠚⠁⠀⢀⣠⣾⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⢸⡆⠀⠀⠀⠙⣿⣿⡇⠀⣿⠉⣹⣿⡆⠀⢹⡀⠈⠻⣿⣿⣧⣄⣀⣀⣀⣀⣀⣤⣾⣿⣿⡿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠀⣼⠇⠀⠀⠀⠀⢸⣿⣧⣀⣿⠀⢸⣿⣷⣤⣾⡇⠀⠀⠈⠛⠿⢿⣿⣿⣿⣿⣿⡿⠿⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⡾⠋⠀⠀⠀⠀⠀⠘⠿⣿⣿⠃⠀⠈⠿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀ ⣠⠴⠶⢾⣿⣿⣶⣶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⢶⣾⣿⣿⣿⣷⡶⠶⢶⣿⣿⡿⠿⣿⣿⣿⠶⠶⢤⡀ ⡏⠀⠀⢸⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠿⣿⣿⣿⠀⢸⣿⣿⡇⠀⠈⠛⠃⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠈⠻⠟⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠙⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠈⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠈⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠘⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⣀⣼⣧ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⢿⣿⣿⣿⡆⠀⠀⡀⠀⠀⠀⢀⣶⣷⡄⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⣀⣴⣾⣿⣿⡟ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⠀⣾⣿⣧⠀⠀⢸⣿⣿⣿⠀⠀⠸⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⣇⣴⣾⣿⣿⣿⠟⢹⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⠀⣿⣿⣿⠀⠀⠸⣿⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⠿⠋⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⣿⣿⣿⠀⠀⠀⣿⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⣀⣴⣾⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⣿⣿⣿⡄⠀⣸⣿⣿⣿⠀⠀⠀⣿⣿⣧⣴⣾⣿⣿⣿⠿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⢰⣿⣿⣿⡿⠀⢿⣿⣿⣿⣾⣿⣿⣿⡇⠀⠀⢀⣿⣿⣿⣿⣿⠿⠋⠁⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⣸⣿⣿⣿⠇⠀⠈⠿⣿⣿⣿⣿⣿⠟⢀⣤⣾⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⢀⣿⣿⣿⡿⠀⠀⠀⠀⠈⠉⠉⢉⣤⣾⣿⣿⣿⡿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⣼⣿⣿⣿⠃⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⠿⠋⠁⠀⢾⣿⣿⠀⠀⣠⣦⡀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⠀⠀⢀⣾⣿⣿⣿⠃⠀⠀⠀⠀⣴⣿⣿⣿⡿⠛⠁⢀⣤⡀⠀⢸⣿⣿⠀⢰⣿⣿⡇⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⡇ ⡇⠀⠀⢸⣿⣿⣿⣤⣴⣿⣿⣿⡿⠁⠀⠀⠀⠀⢸⣿⠿⠛⠁⠀⠀⢠⣿⣿⡇⠀⣸⣿⡿⠀⠸⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⢸⡇ ⠻⢤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣯⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣷⣶⣿⣿⣧⣤⣤⣽⣿⣿⣿⣿⣧⣤⣤⣤⣤⣤⣤⣤⠾⠃ ⠀⠀⠀⢸⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠛⠛⠉⠀⢀⣀⣤⡀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⡀⠀⠀⠀⠀⠀⠈⣁⣤⣤⡄⠀⠀⠀⠀⠀⢀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢾⠁⠀⣹⠀⠀⠀⠀⠀⠀⢺⡟⠉⠉⠀⠀⠀⠀⠀⠀⢸⣿⠋⠉⠀⠀⠀⠀⠀⢠⡟⠉⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⠟⠻⠷⣦⡀⠀⠀⠀⣤⣾⣷⠶⠾⠃⠀⠀⠀⠀⣤⣾⣿⡶⠶⠓⠀⠀⠀⠀⢸⣧⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣸⣀⣀⣤⡿⠁⠀⠀⠀⠀⢸⣇⣀⣀⣀⣀⠀⠀⠀⠀⠀⣿⣀⣀⣀⣀⠀⠀⠀⢸⡇⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠈⠉⠛⠉⠉⠁⠀⠀⠀⠀⠀⠉⠙⠉⠉⠉⠀⠀⠀⠈⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⢀⣷⡄⠀⢀⣦⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠙⣧⣼⠋⢹⣶⠟⠙⣦⣴⢿⡇⠀⢀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠈⠁⠀⠀⠉⠀⠀⠛⠉⠸⢿⡿⠋⢻⣧⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠏⠉⣾⣤⣤⢤⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠁⣀⣾⣇⣴⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠉⢠⣞⣁⣀⡀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⢩⡿⠁ ⠀⠀⠀⠀⢀⡴⢻⣿⠷⠤⣤⣈⢷⡀⢀⣠⣤⣴⠲⠤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠀ ⠀⠀⠀⣠⡾⠟⠻⣿⣿⠻⢦⣈⢳⣿⣿⣟⣛⣿⣻⡶⣄⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀ ⠀⠀⣾⠋⠀⠀⠀⠈⠁⠀⠀⢉⣿⠟⠉⠉⠀⠉⠙⣿⣶⣙⢦⣳⡀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠙⠛⠛⣮⢿⡇⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⣧⠀⠀⢠⣤⣀⣀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠇⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢈⡷⣶⠋⠉⠉⠉⠉⢿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⠁⠻⣄⣀⣀⠀⠀⠀⠻⣄⡀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣼⠃⠀⠀⠀⠉⠙⠛⠀⠀⠀⠈⠙⠒⠦⠤⠤⠖⠛⠋⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡼⠷⠾⢯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⢶⡦⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⣯⠙⠒⣶⣖⠒⠶⣶⢦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠲⣄⡀⣸⣷⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠓⠚⠁⠙⢷⠒⢿⣦⣤⣼⣿⣝⣲⣄⠀⠀⠀⠀⠀⢨⡟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠈⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⢸⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⢻⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⣾⣿⣿⡿⠿⢿⣿⢿⡟⠀⠀⢀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣇⣀⠀⠻⠿⠧⢷⡀⠀⠹⡆⠹⣇⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⢷⣄⠀⠘⣇⠀⠀⠀⠀⢿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠲⢿⡄⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣄⣀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⣀⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡎⠀⠉⣶⠤⠴⠊⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⡼⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠒⠈⢻⡆⠀⠀ ⠀⢟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀ ⠀⠘⢆⢦⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠘⠢⢄⣀ ⠀⣠⢞⠘⠀⢀⠀⢀⡄⠰⣤⠔⠓⣲⣾⡀⢀⠀⠀⠀⠀⠀⠀⡼ ⢺⡁⢎⠠⣀⡼⠛⡉⠑⢺⠁⠀⠀⠉⠁⢸⠋⠀⠀⠀⠀⠀⣞⠀ ⠀⠈⠓⢢⣼⡀⠀⠉⠁⠘⣄⠀⠀⠀⢀⠜⠀⢠⣶⣦⠀⠀⢈⡆ ⠀⠀⠀⠈⠉⠳⣤⣴⠊⠉⠀⠉⠐⠋⠁⠀⣀⠀⣿⡾⢠⠞⠉⠀ ⠀⠀⠀⠀⠀⢠⠇⠈⠒⠊⠁⠀⠀⠀⣀⠴⠋⢠⡧⠤⠼⠆⠀⠀ ⠀⠀⠀⠀⠀⠘⠧⠤⠤⠤⠤⣖⠚⠉⠀⠀⠀⢘⣷⠤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠛⠳⡤⢰⠒⣾⣹⣭⠆⠘⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠰⠀⠀⠘⡞⠓⠉⠉⢰⠀⠐⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠹⡖⠒⠊⢹⠀⠀⢹⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠿⣆⠀⠀⠀⠹⡄⠀⣸⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡆⠈⢦⠀⠀⠀⠹⠤⢿⠀⠀⣸⠀⠀ ⠀⠀⠀⠀⣀⡀⠀⢠⢞⠟⠀⠀⠀⠳⣄⠀⠀⢾⡭⢤⣴⡇⠀⠀ ⠀⠀⣴⡟⠉⣩⣷⣷⠋⠀⠀⠀⠀⠀⠈⠳⢤⣸⣿⣿⣼⣇⠀⠀ ⠀⣼⣿⡇⢘⡷⢻⣇⠀⠀⠀⣧⠆⠀⡀⠀⠀⠈⠻⢿⣽⡿⣆⠀ ⠀⣿⣿⣷⠀⠀⠸⠿⠖⣷⣆⡼⣷⣀⣷⣦⣤⣾⣆⣬⡏⠙⠛⠂ ⠀⠙⠛⠉⠳⢤⣀⡤⠔⠋⠉⠀⠘⣿⠀⠛⡟⣿⠀⠙⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣧⣶⣶⣤⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠥⠶⠲⢽⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠒⠦⠤⠚⢋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠤⠤⠤⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⠉⢁⡨⠛⠉⠀⠀⠀⠀⠀⠀⠀⠉⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡟⠊⡱⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠤⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⠃⢣⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢧⡀⡞⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠢⣄⠀⣀⠤⠶⠚⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠚⢻⠀⢀⠔⠉⠉⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⣠⡾⠅⠀⠀⠀⢘⡶⠋⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⢀⠞⠁⠀⠀⠀⠀⠀⡜⠀⠀⠀⣀⠴⠊⠉⠉⠁⠒⠤⢄⡀⠀⠀⠀⠀ ⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣏⠀⠀⠀⠀⠀⡠⠞⠀⢀⡴⠊⠁⠀⠀⠀⠀⠀⠀⠀⢀⠙⣦⠀⠀⠀ ⠀⠀⠀⠀⠈⢦⡀⠀⢶⣄⡀⠀⠀⠀⠀⠀⠉⠐⠒⠂⠉⠀⢀⡔⠋⠀⠀⠀⠀⠀⠀⣀⠤⠒⠊⣹⣧⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢨⣦⡀⠳⡉⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⣠⠔⠋⢀⣰⢺⣿⣻⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠩⡉⠳⢿⣄⣀⡀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⡠⠊⢁⣼⢟⣩⠞⡿⠊⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⢰⠋⣠⡤⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⣠⠎⠀⣾⡟⢡⠞⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⣉⣃⣀⡾⠀⠀⢰⠁⠀⠀⠀⡴⢡⣴⣾⣿⣿⢋⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⡞⠀⠀⠀⣼⣥⣾⣿⣿⣿⣯⢸⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣇⠀⠀⢸⣿⣿⣿⣿⡟⠿⣿⠆⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠸⡄⠀⢸⣷⣿⣾⣧⢳⣶⣿⡇⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠙⢄⠀⠉⢻⠀⠹⣿⣿⠿⡷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠛⢧⣀⠀⠀⠀⠀⠀⠙⠒⠼⣄⣀⠀⠀⠀⣷⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠈⠉⠒⠦⠤⣀⡀⠀⠀⠀⠈⠙⣆⠘⢹⡾⠉⢢⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⢦⡀⠀⠀⠀⡼⢧⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⠤⠄⠒⠒⠒⠛⠿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠑⣄⠀⠀⡇⠈⢆⠀⣹⠤⣀⠀⠀⠀⠀⠀ ⠀⠀⢀⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⡌⠑⠢⢄⣀⠀⠀⢠⠁⠀⠀⠈⢣⣠⠃⠀⠈⢶⣧⠀⠀⠉⠒⢄⠀⠀ ⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠉⠑⠋⠀⠀⠀⠀⠀⠹⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠙⠆ ⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠧⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠼⠿⠿⠿⠟⠛⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⣤⣤⣶⠄ ⠚⣿⣿⣷⣦⣤⡀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣠⣾⣿⣿⣿⠟⠀ ⠀⠈⢿⣿⣿⣿⣿⣦⣄⣰⣁⡀⢀⡀⠀⠀⡠⠄⠠⢄⣷⣶⣾⣿⣿⣿⣿⠿⠀⠀ ⠀⠀⠈⢻⣿⣿⣿⣿⣿⡿⠁⢀⠀⠈⡆⣸⠀⠀⠄⠀⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠙⠿⣿⣿⡟⢻⡦⠀⢀⣴⣿⣿⣧⠤⣴⣚⣿⣝⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⡗⠉⡁⠀⠈⠉⠛⠛⠉⠉⢀⡠⢀⣼⡟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⣿⣤⡸⣉⡗⢒⡖⠒⡒⣻⠥⢣⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⡜⣿⣿⣿⣿⣿⣿⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡘⡟⠙⠋⢉⢇⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠤⣉⣉⣥⡞⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⡨⠟⠛⠋⠩⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣶⣶⣶⣤⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠁⠀⠀⠙⢿⣿⣆⠀⠀⠀⢠⡾⠋⠁⠀⠀⠈⠙⢻⣿⣷⡄⠀ ⠀⠀⠀⠀⢀⣾⣿⡿⠁⠀⠀⠀⠀⠀⠈⢿⣿⣇⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡄ ⠀⠀⢀⣴⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇ ⠠⣶⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡇ ⠀⠙⠿⢿⣿⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢼⣿⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠃ ⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠏⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⡏⠀⠀⠀⠀⠀⢸⣿⡷⡇⠀⠀⢰⣿⣿⣦⣄⣀⣀⣼⡿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣷⡇⠀⠀⠈⠻⠿⠿⠿⠟⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠻⢿⣦⡀⠀⠀⠀⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣄⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟨🟨⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬛🟨⬛⬛⬜⬛⬜⬜⬜⬛⬛⬜⬜⬜ ⬜⬜⬜⬛🟨⬛⬛⬜⬜⬜⬛🟨⬛🟦⬛⬛🟦⬛⬛⬛🟨🟨⬛⬜⬜ ⬜⬜⬜⬛🟨🟨🟨⬛⬛⬜⬛🟨⬛🟦🟦🟦🟦⬛🟨🟨🟨🟨⬛⬜⬜ ⬜⬜⬜⬛🟨🟨🟨🟨🟨⬛🟨🟨⬛🟦⬛⬛🟦⬛🟨🟨🟨⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨⬛🟨🟨⬛🟨🟨🟨🟨⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛⬜ ⬜⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛ ⬜⬜⬛⬛⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛⬛🟨🟨🟨⬛⬜ ⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛⬛⬛⬛⬜⬜⬜⬛⬛⬛⬜⬜ ⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬛⬜⬜⬜⬜⬛⬜⬜⬜ ⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜⬜⬛⬜⬛⬜⬛⬜⬜⬜ ⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬛⬜⬜⬜⬛⬜⬜⬜⬛⬜⬜⬜ ⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬛🟨🟨⬛🟨⬛⬜⬜⬜ ⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛⬛⬛🟨🟨🟨⬛🟨⬛⬜⬜⬜ ⬜⬛🟨🟨🟨🟨🟨🟨⬛⬛🟨🟨🟨🟨🟨🟨🟨⬛⬛🟨🟨🟨⬛⬜⬜ ⬛🟨🟨🟨🟨🟨🟨⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛⬜ ⬛⬛⬛⬛🟨🟨🟨⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛🟥🟥⬛ ⬜⬜⬜⬜⬛🟨🟨🟨⬛⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛🟥🟥⬛⬜ ⬜⬜⬜⬜⬛🟨🟨🟨🟨⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛🟥⬛🟥⬛ ⬜⬜⬜⬜⬛🟨🟨🟨⬛⬛🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛⬛⬛⬜⬛⬛ ⬜⬜⬜⬜⬜🟨⬛⬛⬜⬛⬛⬛🟨🟨🟨🟨🟨⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦⬛🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜
⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇ ⠀⠀⠸⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⣴⠄⢀⡈⠙⠻⢿⣿⣿⣿⣿⣿⣿⡏⠀ ⠀⠀⣦⣹⣿⠿⠛⠻⢷⣤⣴⡾⠟⠻⢷⣿⡃⣀⡀⠘⣿⣿⣿⣿⣿⣿⣿⡄ ⢀⣄⣸⡿⠁⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠘⣿⡟⠁⠀⢸⣿⣿⣿⣿⣿⣿⠇ ⠀⠙⢻⣇⠀⣛⣀⣀⣘⣿⠀⠀⠀⠶⠀⠀⣿⡷⠟⠁⣿⣿⣿⣿⣿⣿⡏⠀ ⠀⠀⠀⣿⣿⠛⠛⠛⠛⠛⢷⣤⣀⣀⣤⡾⠋⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡄ ⠀⣤⣾⡿⢿⣦⣤⣤⠀⠀⠀⠉⠙⠋⠉⠀⠀⠀⢰⣿⠿⣿⣿⣿⣿⣿⣿⠁ ⢾⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⠁⠀ ⠈⠻⣿⣷⣶⣤⣤⣤⣤⣤⣤⣤⣤⣶⣾⡷⠀⠀⢸⣿⣿⣿⣿⣿⣿⠃⠀⠀ ⠀⠀⠀⠉⠙⠻⣿⣿⠛⠛⠛⠛⠛⠋⠉⠀⠀⠀⢸⣿⣿⣿⠿⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠃⠀⠀⠀⠀⠀⠀⠀⠘⠿⠇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣦⡀⠀⠀ ⢰⠒⣿⣷⣶⡒⠒⠒⠒⠒⠒⠒⠒⠒⠒⢲⣾⣿⣷⢲⣿⠛⠻⠗⠒⡀ ⢸⠀⣿⣿⠻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠈⠋⢸⣿⠀⠀⠀⠀⡇ ⢸⠀⣿⣿⠀⠙⣿⣧⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢸⣿⠀⠀⠀⠀⠅ ⢸⠀⣿⣿⠀⠀⢹⣿⡇⠀⠀⠀⢀⡀⠀⢸⡇⠀⠀⠘⣿⠀⠀⢀⣤⡇ ⢸⠀⣿⣿⠀⠀⠈⣿⣿⢰⣷⠀⢸⣿⠀⢸⣷⠀⠀⠀⣿⣤⣾⡿⠛⠅ ⢸⠀⣿⣿⠀⠀⠀⣿⣿⢸⣿⠀⢸⣿⠀⢸⣿⢀⣤⣾⣿⡟⠁⠀⠀⠅ ⢸⠀⣿⣿⠀⠀⠀⣿⣿⠸⣿⣶⣿⡟⢀⣸⣿⡿⠟⠉⣿⡇⠀⠀⠀⡇ ⢸⠀⣿⣿⠀⠀⣸⣿⡇⠀⠉⠛⣫⣶⡿⢿⣿⠀⠀⠀⣿⡇⠀⠀⠀⡇ ⢸⠀⣿⣿⠀⣠⣿⡟⠀⠀⣴⣿⠟⢋⡀⢸⣿⢠⣿⣀⣿⠇⠀⠀⠀⡂ ⠸⠤⣿⣿⣾⡿⠯⠤⠤⠬⠭⠤⠤⢼⣷⣼⡿⠤⠿⠿⠿⠤⠤⠤⠤⠂ ⠀⠀⠻⠟⠋⣀⡀⠀⠀⠀⣀⡀⠀⠈⠛⣋⣁⠀⠀⢀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠤⢇⠀⠀⣸⡧⠤⠀⠀⣨⣧⠤⠀⠀⣎⡼⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠶⠚⠀⠀⠀⠷⠖⠂⠀⠀⠷⠶⠂⠀⠃⠙⠂⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠣⠞⠶⢳⡴⣆⡠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠉⠐⠋⠧⢴⢀⠀ ⠀⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠯⡄ ⠀⠀⣠⢾⣗⡪⣢⣤⣶⣒⢄⠀⠀⠀⠀⢀⠜⠁ ⠀⠐⠁⠀⠁⢈⠟⠉⠉⠹⢷⣧⠀⠀⢀⠎⠀⠀ ⠀⠐⣤⠖⠠⢎⠀⠀⠀⠀⢀⡏⠀⠀⠎⠀⠀⠀ ⠀⡜⠘⠂⠄⠈⠢⠄⠀⠤⠊⠀⠀⡜⠀⠀⠀⠀ ⠘⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣍⡧⠀⠀⠀⠀ ⠀⠀⠫⠛⢭⢿⣰⣦⣄⠀⠀⢱⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⡜⣿⣿⣿⣧⠀⢨⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡴⢡⣿⡿⢿⢟⠀⡌⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠒⢍⣡⠀⠈⡎⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠤⠜⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢠⠤⣀⢀⠠⠒⡀⠀⠀⠀⠀⠀ ⢀⣀⠠⠦⠀⠁⠀⠀⠀⠐⠒⠒⡆⠀⠀ ⠘⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠇⣀⠀ ⡤⡃⠀⡄⠴⣰⠂⠩⠞⡤⠀⠀⠀⡰⠁ ⠁⠂⣽⠀⠃⣐⢀⢀⡠⠃⢀⣦⠀⡱⠀ ⠀⠀⠀⡙⠣⠄⠀⠀⢀⠔⢸⣁⡇⠀⠀ ⠀⠀⠀⠙⠒⠒⡢⣉⣀⣀⠼⡖⡄⠀⠀ ⠀⠀⠀⠀⠀⢸⠂⠈⢞⠊⣉⡄⢲⠀⠀ ⠀⠀⠀⠀⠀⢀⢆⠀⠈⡄⠀⡇⢸⠀⠀ ⠀⠀⠀⠀⢀⡶⠈⠢⡀⠈⡺⢄⣸⠀⠀ ⠀⣴⢋⢴⡗⠁⠀⠀⠀⠢⣯⣾⣧⠀⠀ ⢸⣿⠈⠩⠧⢤⣸⣄⣤⣀⣤⣹⠻⠧⠀ ⠈⠉⠑⠂⠒⠉⠀⠹⠁⠉⠇⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡧⠤⣌⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⠭⠩⠿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⠲⠞⠑⠆⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⠃⠈⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢇⠀⠀⡀⢀⣀⠠⠴⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣨⣦⢈⠐⠀⢹⣀⡀⡅⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⣿⠇⢁⠤⠥⠀⠮⡂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⡏⠀⣰⠀⠀⠀⢱⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡴⡑⠍⡉⢤⣴⣿⠻⠾⣴⠷⡄⠀ ⠀⠀⠀⠀⢐⠄⡀⠉⢸⠣⣰⢯⡶⣷⠧⡈⡇⠀ ⠀⠀⡠⠊⠁⠁⢂⠉⠉⢀⡀⠈⢿⠉⠂⠀⡇⠀ ⠀⢰⢀⠀⠀⠀⢸⡆⠀⠈⠁⠀⠘⢎⡆⠀⠈⡄ ⠀⡎⠀⠈⠁⡰⠁⠀⠀⠀⠚⠃⠶⠆⠱⡀⠀⡇ ⢠⡇⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠊⠀ ⠈⠃⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠐⠃⠀ ⠀⠂⠀⠀⢀⣣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠢⠦⠠⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠖⠉⠉⠈⠉⠙⠫⣽⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠙⢳⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠋⠉⠙⢢⡠⠔⠒⠢⢄⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢶⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡅⠸⠂⠀⡜⠀⠀⠀⠀⠀⣧⠀⠀⣰⠃⠀⠀⠀⢀⡤⠤⠤⠴⠁⠀⡼⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠉⠉⠀⠳⠤⢄⣀⠉⣠⠏⣴⣶⢃⡄⠀⢀⡴⡛⠂⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡰⠋⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠙⠒⠦⠤⠤⠦⠤⢌⡋⠁⢾⣼⣟⢹⠃⠀⡼⠗⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀ ⠀⠀⢀⣀⣠⠇⠀⢼⡀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⠀⠀⠀⠀⢀⣀⣤⡶⢖⣻⣧⣼⣿⡿⠋⠀⠸⡡⣤⠀⠀⠀⠀⠀⠀⠀⠀⣧⡀⠀⠀ ⢠⡎⠹⠻⣄⢠⠀⠈⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠲⡶⠾⣿⣿⣼⣿⣿⣿⣿⣯⢳⡀⠀⠀⠀⠉⠛⠓⠢⣄⠀⠀⠀⠀⠀⠀⠱⡀⠀ ⢈⡷⠴⠖⢻⡌⠢⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡜⠈⡟⢆⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⢡⠀ ⠀⢳⠆⠒⢛⡇⠀⠀⠀⠀⠑⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡛⠻⢿⣛⣿⣿⣡⠞⠁⠈⣧⠔⠒⠒⣲⣷⠦⢼⠀⠀⠀⠀⠀⠀⠀⡆ ⠀⠈⠓⠒⠺⡁⠀⠀⠀⠀⠀⠀⠓⢦⣀⠀⠀⠀⣀⡠⠤⢤⡿⡍⣿⠂⠾⣿⡟⠋⠁⠀⡠⠋⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠙⠋⠐⠚⢧⠀⠀⣸⢠⠞⢿⢀⡜⠁⠹⡀⠀⣰⠃⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃ ⠀⠀⠀⠀⠀⠀⠘⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣹⠃⠀⠀⠙⠀⠀⠀⠓⠊⠙⡇⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⢸⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⡀⠀⠀⠘⣆⠀⠀⠀⢀⣀⡤⠖⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⠤⣀⡀⠀⠀⡼⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠤⠤⣸⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠧⢴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⢤⡲⠶⠁⠒⠠⠄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡖⠱⠁⠀⠀⠀⠀⠀⠉⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡎⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⡀⠀⠀⠀ ⠀⠀⠀⠀⠰⠀⠀⠀⡀⢀⣀⣀⣀⢄⣀⡄⣈⣱⠀⠀⠀ ⠀⠀⠀⠀⢠⣇⢸⠄⣗⠍⠚⠉⠀⡺⠨⠭⠍⡸⠀⠀⠀ ⠀⠀⠀⠀⠐⡍⣾⠈⠈⠀⠀⠀⣀⣀⣀⡀⠰⡃⠀⠀⠀ ⠀⠀⠀⠀⠀⢙⢷⠆⠀⡠⠂⠁⠀⠀⠀⠀⠀⠘⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠉⢰⠁⠀⠀⠀⠀⠀⠀⡀⣀⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠸⡀⠀⠀⠐⠸⠛⣻⡏⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⡐⠙⢅⡀⠑⠤⢀⣀⠠⢴⠃⢄⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠁⠀⠀⠀⠁⠒⢒⢆⠀⠀⣇⠆⡄⠀⠀⠀ ⠀⠀⠀⣀⡜⣢⣄⡀⠀⠀⠀⡎⠀⠱⣀⠎⠢⣀⠀⠀⠀ ⢀⠔⠉⠀⡀⠀⠈⠑⡉⠉⠉⠁⠀⠀⠀⠀⠀⠐⡈⠢⠀ ⠑⠂⠄⠄⠀⠀⠀⠀⠸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⣾⠲⣠⠟⢧⡴⢳⣄⡴⣶⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣼⠲⠼⠁⠉⠁⠀⠀⠀⠀⠀⠀⠉⠀⣻⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣸⡯⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢌⣧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⢀⡀⠀⠀⠀⠙⠻⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠙⠲⣿⠁⢀⣀⣠⠤⠤⣼⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⡼⠋⠀⣀⡤⠶⠒⠊⠙⡏⠁⠀⠛⠀⠀⠀⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⣧⠔⠋⠙⠋⠀⠀⠀⢀⡧⠔⠚⠙⣆⠀⣠⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠙⢄⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⢀⡾⠚⢹⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡀⠀⠀⠀⠉⠒⠒⠒⠋⠁⠀⠀⠒⠚⠉⠀⠀⠈⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢽⣽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣜⣀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣀⡤⠞⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⣴⠖⠚⢙⡿⠓⠒⠋⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⢰⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡤⡚⠉⠉⠓⠲⠤⠤⠤⠤⠤⠤⠤⢤⡜⠉⠛⠒⢼⣷⠒⠒⠛⠛⠛⠓⠒⠺⣤⣠⠤⠤⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢼⡽⠁⣠⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠙⢧⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⢹⡗⠒⠒⠤⣀⠀ ⠀⠀⠀⠀⠀⠀⠯⣼⠁⡿⠁⣆⣀⣀⡀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⢀⡇⠀⠀⠀⠨⡇ ⠀⠀⠀⠀⠀⠀⢠⠇⢰⣧⠎⠉⠉⠉⠉⠉⠙⠛⠒⠾⡆⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠐⢷⣄⡼⠧⡶⠀⠀⠀⡇ ⣠⣶⢲⠶⣄⣀⣼⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠒⠒⢺⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣼⠁⠀⠀⢠⠇ ⡏⢸⠛⣳⠈⡇⢸⡄⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⢰⠏⠀ ⠻⣌⣙⣋⡴⠋⠲⣇⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⠃⢸⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠟⢹⣇⢦⣼⡿⠁ ⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣄⠀⠀⠀⠀⠀⢀⣀⣀⣤⠤⠖⠚⠉⠁⠀⠀⣿⢯⣿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⡀⠀⠀⠀⢻⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⣰⢋⣉⣀⣀⣠⠤⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⡶⠶⠶⠶⠶⢶⠶⣿⠉⠉⢉⣡⣧⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡄⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠘⠦⠿⡉⠹⣍⣁⣸⡆⢳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢶⣶⠶⣞⠉⣇⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⢠⠇⠀⡿⣀⡽⢧⢸⡆⠀⠀⠀⠀ ⠀⠀⠀⢰⡃⣾⢉⡇⢸⣄⣸⡀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⠢⣤⠊⢀⡼⠁⠀⠀⡼⢸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⣜⣋⣢⠟⠀⠈⢷⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣧⣹⡏⠀⠀⠀⠀⡇⢸⢧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠈⢣⡀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢷⠀⠀⠀⡸⠁⡜⣀⡬⢦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡑⢄⣹⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣉⣙⢚⠳⣄⡴⣁⣜⣩⠤⠗⠊⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡴⠴⠑⠊⠓⠑⠔⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠾⠚⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⡴⠃⠀⣑⣮⡀⢤⠄⠼⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⢸⠔⠚⠃⠀⢀⠤⠐⢄⢠⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠈⠂⠤⠤⠔⠁⠠⠤⠊⠘⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⡻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡱⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢩⠀⠀⠀⠠⠔⣲⠆⠒⠂⠉⠀⠀ ⠀⠀⠀⢀⠴⠢⠤⠀⠀⠀⣀⣀⠄⠤⢸⡤⠤⠤⠤⠤⣄⣀⢀⠀⠀⠀⠀ ⠀⠀⠀⢿⡠⠲⠀⠀⠀⠀⠀⢸⠀⠀⠀⠑⠀⠀⠀⠀⠈⡆⠀⡏⠁⠒⡄ ⠀⠀⠀⢀⠃⠧⠋⠉⠁⠐⠒⠺⡀⢀⡠⠖⠀⠀⠀⠀⠀⠲⢤⢧⠆⠀⡁ ⠫⠯⢱⠚⡀⡆⠀⠀⠀⠀⠀⠀⠀⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⡠⠁ ⠓⠉⠊⠉⡇⢡⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⢴⣃⣧⠄ ⠀⠀⠀⠀⢱⠈⡀⠀⠀⠀⠀⠀⠸⢄⣀⣀⠀⠤⠤⠐⠊⠉⠀⢸⠿⠃⠀ ⠀⠀⠀⠀⠀⡄⢇⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⣴⣒⣀⡠⠜⠀⠀⠀ ⠀⠀⠀⠀⠀⢡⠸⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⢏⣇⢤⢒⢓⢀⠀⠀⠀ ⠀⠀⡔⡶⠲⡉⡄⠇⠀⠀⠀⠀⠀⠀⠀⠑⠄⣀⠀⡘⢨⠣⠛⢸⠀⠀⠀ ⠀⠀⠣⣓⡵⠉⠳⡘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡪⢶⠁⠀⠸⢸⢄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⢌⡄⠀⠀⠀⠀⠀⠀⠀⠀⡗⡬⢦⣠⣂⣖⢪⠕⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡀⠀⠀⣠⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⡟⠋⠀⠀⠈⠉⠛⢿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡟⠁⡀⡀⠀⠀⠀⢦⠈⠓⢄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣟⠩⣿⡟⠀⠀⣯⣙⡛⣲⣤⣼⡧⣤⣄⣹⡆ ⠀⠀⠀⠀⠀⠀⠀⣨⣿⠛⠿⠃⠀⠀⠈⠛⠛⠛⠏⡍⠉⣳⡼⠉⠀ ⠀⠀⠀⠀⠀⣠⢾⠁⢧⠀⠀⢶⣄⡀⠀⠀⠀⠀⠀⠀⠈⠻⡁⠀⠀ ⠀⠀⢀⡤⢾⡙⡼⡇⠈⢧⡀⠀⠀⠈⠙⠶⣄⡀⠀⠀⠀⠀⢹⡀⠀ ⠀⣰⠏⠀⠀⢻⣳⢳⡀⠀⣹⣦⣀⣤⣶⠛⠛⠛⠓⠦⢤⣀⣠⡇⠀ ⢠⡏⠀⠀⠀⠀⣿⠈⡷⣄⣿⣿⡿⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⢸⡆⡇⠈⠁⢹⢠⡏⠛⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⣀⣀⣄⣸⡀⠧⢀⣠⠼⢸⠃⠀⠈⢳⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⡿⣽⢇⡄⠈⠙⣶⣄⣠⠤⠼⣟⠛⠛⢿⠃⠀⠀⠀⠀⠀⠀⠀ ⢀⠿⡟⣟⣾⣥⠟⠋⠉⠀⠀⣀⡤⠤⠷⠄⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠙⢾⣭⣁⣤⡤⠴⠒⠻⣭⣀⡀⣀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢹⠉⢡⠘⡆⠀⠀⠀⠀⠀⠀⠀ ⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⢸⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⣾⢸⡀⣷⠀⠀⠀⠀⠀⠀⠀ ⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣸⠀⡷⠀⠀⠀⠀⠀⠀⠀ ⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⢹⠴⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⣇⣀⠀⠀⡀⣀⣀⣀⣀⣠⡤⠴⣾⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡟⠉⠋⠻⡏⠉⠉⢸⡀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡃⠀⠀⠀⡇⠀⠀⢸⡇⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠈⠀⠀⢸⡇⠀⠀⢸⠁⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⠀⠀⠀⢸⡇⠀⠀⣼⡀⢀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠀⠀⠀⡿⠀⠀⠀⣿⠃⠚⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⠃⠀⠈⣻⡇⠀⠀⢨⣿⣶⣶⣿⣦⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⣶⣶⣶⣿⣶⣤⣀⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀ ⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⢀⡀⠀⣉⡉⡉⣉⣛⣉⡉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⠑⠢⣀⣀⡠⠄⠒⠲⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠤⠤⠤⠄⣠⠏⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠒⠠⢤⡀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⢀⡤⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀ ⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠀⣧⢀⣠⣆⢀⣷⣀⠀⣤⠀⢀⠀⠀⠈⠳⡀ ⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠛⠉⠉⠉⣩⡍⠉⠉⡟⠉⠛⠒⠾⢴⣖⣀⣠⡿ ⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⣀⣀⣈⡀⠀⢠⣇⢤⣀⠀⠷⠂⣽⡿⠋⠀ ⠀⠀⡼⠁⠀⠀⠀⠀⣀⣀⠀⠀⠈⠁⠀⠀⠀⠈⠉⠁⠀⠀⢸⠦⠤⡴⠃⠀⠀⠀ ⠀⢸⡀⠀⠀⠀⠀⣴⢳⣧⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠊⠁⠀⠈⢧⡀⠀⠀⠀ ⠀⠀⠉⠒⠠⢄⡀⠘⠾⢿⠂⠀⠠⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⠀⠀⠀⠀⠀⠉⠑⠒⠂⠠⢤⡤⠄⠐⠒⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠓⠤⠤⢾⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⣇⠀⠀⠀⠀⠀⢀⣠⡯⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡼⠦⢾⠉⡳⢲⣾⣿⣿⣿⣷⣾⣏⢢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠈⠋⠙⣾⣿⣿⡿⠿⣟⠻⡟⢦⠙⢆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⣴⣴⠛⠛⠋⠀⠜⣹⡆⠈⠈⢧⠀⠳⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⢰⣿⠏⠀⠀⠀⠀⠘⣹⠁⠀⠀⠀⠑⢄⠈⢆⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠀⠀⠐⠋⠁⠀⠀⠀⣀⣤⠞⠉⣷⣄⠀⠀⠀⠀⠁⠀⢣⠀⠀ ⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡗⠺⣷⣿⢦⡀⠀⠀⠀⠀⣸⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢄⣀⣀⣠⠴⠚⠁⠈⠉⠓⠒⠚⠉⠁⠀⠈⠓⠒⠒⠺⡁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠤⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣼⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠂⠒⠒⣤⠤⠒⠒⠒⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠤⢤⣄⠀⠐⠁⠀⠀⠀⠀⠀⠀⠈⠣⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢘⣒⡿⠋⠈⠲⠖⠂⠉⠉⠉⢢⠀⢀⠀⣀⣱⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡧⠄⣀⠀⠀⠀⠀⢀⡀⠀⠀⠸⠤⢻⣠⠏⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠁⢀⡀⠈⣆⠀⡰⠋⠁⠉⠑⠄⠀⠀⠀⠁⡈⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⠚⠦⣈⣡⠈⠉⠀⢇⠀⠀⠛⠀⡄⠀⠀⠀⠂⢐⡰⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠀⠀⢀⠀⠘⠤⠴⠀⠈⠒⠤⠔⠊⠀⠀⠀⠀⠀⠠⢶⠊⡇⠀⠀⠀ ⠀⠀⠀⢰⠀⠀⡔⠁⠀⠀⠀⠀⠀⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠤⡔⠁⠀⠀⠀ ⠀⠀⠀⠈⢆⠀⠣⣄⣀⣀⣀⣀⠴⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢳⡄⠘⠢⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⢀⡤⠾⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢌⠽⢄⠀⠀⠀⢀⣀⣀⣀⡠⠤⠤⠤⠖⠒⠉⠁⠀⢀⠧⢀⠀⠀⠀ ⠀⠀⠀⠀⣸⣧⠔⠺⠁⢲⠖⠉⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⠁⠀⠀⠑⠄⠀ ⠀⠀⠀⣰⣿⣿⣤⣤⣖⣁⣀⠀⠀⠀⣐⣄⣀⣀⡠⠤⠂⠁⠀⠀⠀⠀⠀⠀⠈⠆ ⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⡸ ⠀⢠⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⡇⠀⠀⠀⢀⡠⠄⠚⠀ ⣰⣿⡇⠀⠀⠀⠉⠉⠙⠛⠛⠛⠛⣿⣿⡇⠀⠀⠀⠀⠀⠈⠐⡆⠉⠁⠀⠀⠀⠀ ⢻⣿⣿⣿⣶⣤⣄⣀⣀⠀⠀⠀⣠⣿⣿⣁⠀⠀⠀⠀⠀⠀⣀⡇⠀⠀⠀⠀⢸⠀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⣿⠀ ⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⢸⣿⠀ ⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⢿⠋⠀ ⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠆⢀⠀⠀⡀⠘⡀⠀ ⠀⠀⠘⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣸⣧⠀⡏⠒⠁⠀ ⠀⠀⠀⠀⠀⠀⠙⠉⠉⠉⠉⠉⠙⡿⠿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠉⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⢇⡀⠀⠀⠀⢀⣧⡀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⣶⣿⣦⣄⣉⣉⣉⣁⣠⡇⠀⢀⠓⠠⠤⢀⣠⠤⠞⡄⠀⠀⠀⠀⠀ ⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣶⣶⣤⣤⣴⣶⣧⠀⠀⠀⠀⠀ ⠀⢿⣿⣿⣿⣿⣿⣿⡿⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⣿⣿⣿⣿⠿⠟⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⣤⣾⣛⣲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡿⠺⡏⠀⠀⠀⠈⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠛⠃⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⢀⡠⠤⠤⣀⡠⠖⠒⠾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣧⡀⢰⠋⠀⡄⠀⠈⡇⠀⠆⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣷⡈⢦⡀⠀⠀⡠⠗⠒⠲⣤⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣾⡿⠇⠀⠉⣉⡭⠤⠤⠤⠾⢏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢿⢶⡶⠋⠀⡀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⢀⣽⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⢮⡉⠛⢋⣀⣀⣴⣾⣿⠿⣿⡼⢇⣴⣷⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡸⠉⠲⢤⣙⠢⣤⡬⠽⠟⣿⢷⡀⢈⡁⢻⡿⢯⣼⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣧⡀⠀⠀⠀⠈⣽⠳⣄⢀⣿⣴⣿⣿⣿⠿⣦⡀⠹⡇⠀⠀ ⠀⠀⠀⠀⣀⠄⠒⠓⢬⡁⠒⠢⠴⠿⠀⠈⠛⠀⠻⣷⡾⠿⢄⠀⠑⠀⡅⠀⠀ ⠀⠀⢠⠎⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⢠⣤⡄⠀⠀⠹⡷⣄⠀⠁⠀⠠⣇⠀⠀ ⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⣷⡄⠀⠀⠈⠛⠁⠀⠀⠀⣧⣈⣶⠀⠀⠀⠘⢆⠀ ⠀⢸⠛⠢⢤⣀⡀⠀⠀⣠⠇⠃⠀⠀⠀⠀⢀⣤⡀⠀⠈⠳⣜⠀⠀⠀⠀⣸⡀ ⢀⡇⠀⠀⠀⠀⠈⢉⡟⠁⠀⠀⠀⠀⠀⠀⠻⠟⠁⢾⣿⠂⠈⠣⡀⠀⠀⣸⠃ ⢸⡀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣀⣰⠋⠀ ⣾⡇⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢏⠀⠀⠀ ⢻⠇⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣠⢾⡆⠀⠀ ⢸⠀⠀⠀⠀⠀⠘⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⢠⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡀⢄⠀⢠⠀⢸⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠑⠾⠗⠼⠦⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠈⠁⠚⣵⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⡉⢱⠒⠀⠒⡀⠀⡘⠀⠀⠀⠀⢀⠔⢲⠀⠀ ⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⣰⡇⠐⠲⠤⢀⡠⡣⣶⡁⠀⣴⠃⠀⠀⠀⡇⠀⠀ ⠀⠀⢀⠇⢸⠀⠀⠀⠀⠀⢎⠀⠀⠉⢉⣩⠵⣦⣻⡷⠃⢐⣁⠀⠀⠀⠀⢳⡀⠀ ⢸⣙⣳⢂⠈⠇⠀⠀⠀⠀⠀⠁⠐⠚⣿⣾⣿⣿⡏⣤⠀⠈⠉⠐⢆⠀⠀⠀⠐⠀ ⠘⡄⢒⠄⠀⠈⠢⡀⠀⠀⠀⠀⠀⣰⣟⠻⣻⣿⠑⠁⡡⠐⢒⠶⠬⠄⠀⠀⠀⠁ ⠀⠀⠈⢆⠀⠀⠀⠈⠱⠀⠴⡂⢀⢋⢾⢉⠛⡅⢀⡌⠀⠀⠈⠀⠀⠀⠀⠀⠀⡄ ⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⡇⢠⠁⠀⠁⠀⠈⠁⢃⠀⠀⢠⠀⠀⠀⠀⡀⠌⠀ ⠀⠀⠀⠀⠀⠀⠁⠂⠄⣀⣀⠃⡆⠀⠀⠀⠀⠀⠀⠀⠁⠂⠤⡷⠂⠈⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠝⠁⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠐⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⢁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⢀⠀⠀⠀⡠⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠁⠀⠈⠐⠁⠀⠀⢡⠀⠀⠀⠀ ⠀⠀⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⡆⠀ ⠀⠀⣣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣁⠀ ⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⡅ ⠀⠑⡄⠀⠀⠠⣗⠬⠦⠦⡼⠧⣴⠰⠃⡶⢦⠀ ⠀⢰⠁⠀⢀⣤⡌⠙⠉⠉⠁⠀⡠⠏⠙⡒⠁⠀ ⠀⠈⠐⢢⠀⠙⡇⠀⠀⡠⠊⠁⠈⢂⠀⡰⠀⠀ ⠀⠀⠀⠀⠉⢩⢣⢀⡼⣷⡀⠀⠀⠀⢢⠀⠀⠀ ⠀⠀⠀⠀⠀⠎⠉⠚⠀⠐⣱⡀⡠⠒⢨⠃⠀⠀ ⠀⠀⠀⠀⠸⠀⡠⠁⠀⡴⠛⠑⣖⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⢧⠀⠀⠀⢠⠁⠀⠀⡇⠆⠀⠀⠀⠀ ⠀⠀⠀⢰⠈⠢⠤⠐⠁⠀⠀⠀⢱⠘⡀⠀⠀⠀ ⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢈⡤⠃⠀⠀⠀ ⠀⠀⠀⠀⠉⠐⠒⠒⠒⠒⠒⠈⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⠛⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣞⡥⡞⠛⠉⠉⠉⠙⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡋⠈⠓⠀⠀⠀⠀⠀⠀⠀⢝⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢫⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡾⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠺⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⣙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⣠⠖⠋⠉⠉⠓⣶⠞⠁⢀⠀⠉⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣦⠀⢰⡇⠀⠰⡶⠀⠀⠘⡆⠀⠸⠃⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣯⢷⡀⢷⡀⠀⠀⠀⠀⣼⠷⠖⠒⢤⣤⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣬⣿⣷⡇⠀⠙⠓⠒⠒⢋⣁⣀⣀⣀⣼⠏⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣏⢁⣀⢀⣴⠖⠛⠉⠉⠉⠉⠉⠉⠓⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⢺⡿⠉⠁⠀⢦⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡅⠀⠀⠀⣸⣷⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣆⠓⠒⢿⡿⠃⠀⠀⢀⣤⣴⣶⣶⣾⣇⣾⣷⢀⣶⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢿⡁⠈⠳⣦⡀⠀⠒⠲⣖⢻⣿⣼⡏⠁⠸⣿⠯⣶⣿⣿⡟⢳⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠙⠓⠦⣬⣙⣲⣶⠖⠚⠋⢹⡼⢻⡄⢀⣥⡀⣹⡿⠓⢦⣼⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⡀⠀⠀⠀⠀⠀⢹⡟⢷⣄⠀⣸⣷⣴⣻⣿⣿⡿⠿⣷⣄⠀⠸⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡠⠾⣄⡙⠓⠤⢤⣀⣀⡾⠇⠀⠙⠿⠏⠨⢻⣿⣁⣿⣳⡀⠈⠙⣦⠀⢹⠀⠀ ⠀⠀⠀⠀⢠⠴⠋⠁⠀⠀⠀⠉⢣⡀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡁⠈⠙⠆⠀⠀⠠⣾⠀⠀ ⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⣸⣿⡷⠂⠀⠀⠘⢿⠙⣆⠀⠀⠀⠀⠐⢷⡀⠀ ⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⡆⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⢘⣆⣈⣿⡄⠀⠀⠀⠀⢳⠀ ⠀⠀⢸⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⡼⠸⠁⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠈⠙⢧⠰⠃⠀⠀⠀⠀⢀⣧ ⠀⢠⡏⡀⠀⠈⠙⠓⠒⠦⢤⣤⠞⠣⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⠀⣰⡶⣄⡀⠙⣆⠀⠀⠀⠀⠘⣻ ⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠁⠀⠻⠿⠛⠀⠀⠈⢧⡀⠀⠀⢐⡿ ⠀⡇⡀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⣠⡟⠁ ⢠⣯⠅⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠘⣏⠁⠀⠀ ⢸⣿⠂⠀⠀⠀⠀⠀⠰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⢀⣹⡄⠀⠀ ⠀⡟⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠧⠞⠛⠟⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠘⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡗⠀⠀⠀⠀⠀⠀⢠⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⡀⠀⠀⡀⠀⠘⣧⣇⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢳⡀⢳⡄⠀⢧⠀⢠⡏⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠙⠒⠛⠒⠚⠒⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠚⠐⠢⢄⡀⠀⣠⠖⠉⠈⢢⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠉⠋⠁⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⡤⠴⠒⠒⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠒⠠⢄⡀⠀⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀ ⠀⢀⡠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⠀ ⡴⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠇ ⠳⣄⠀⠀⠀⠀⠀⠀⢠⣦⡀⠀⣄⠀⣄⠀⢸⣰⠀⠀⣠⠀⣠⠀⢸⣀⡴⠋⠀ ⠀⠈⢳⠄⠀⠀⠀⠀⠲⢧⡽⠒⠛⠓⠛⢒⡞⠘⠷⠾⣋⠙⠋⠉⡿⠛⢻⠀⠀ ⠀⢀⠎⠀⠀⠀⠀⢀⣀⡀⠙⠲⠖⠒⠈⠛⠀⠀⠀⠀⢈⡗⠒⢿⡤⠔⠋⠀⠀ ⠀⠸⡀⠀⠀⠀⠀⣞⡿⡏⠀⠀⠀⠀⠀⠀⢀⣠⠷⠶⡉⠀⠀⠀⢣⠀⠀⠀⠀ ⠀⠀⠈⠑⠒⡆⠀⠈⠓⡏⠀⠀⠀⠀⢀⡔⠋⠀⠀⠀⠘⢄⠀⠀⢀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⠤⠤⠔⣷⠀⠀⠀⣴⣯⡀⠀⠀⠀⠀⠀⠈⢷⠂⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣖⠉⡷⠤⣼⠟⣿⣷⡀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠏⠓⠣⢴⠃⠀⠁⠞⢿⡄⠀⠀⣀⠤⠖⢚⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⡜⠀⠀⠀⢰⣟⣓⡀⠞⠁⢀⡠⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⢀⡜⠁⠀⠀⣠⠞⠋⠉⠙⣿⡋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⠀⠀⠉⠀⠀⠀⢀⠇⠀⠀⠀⠀⢯⢣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⢻⡀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⣿⠈⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡞⠀⢣⣀⠀⣀⡠⠞⠀⠀⠀⠀⠀⠀⢹⡄⠸⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠇⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⢳⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣤⠜⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠦⢄⣀⡀⠀⠀⠀⠀⠀⣀⣀⣀⡤⠼⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢰⡀⢠⣆⢀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠀⢠⣦⠀⡟⢆⡞⠳⡾⠈⠟⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⢰⣧⣸⠳⣼⠈⢳⠇⠈⠃⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡀⢸⡗⢼⠈⠋⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢏⠛⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣱⣆⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠒⠒⠒⠶⢞⠁⠀⠀⠉⠳⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⣧⠶⠆⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⣧⠀⣾⡆⠀⠀⠀⠀⡼⠶⠒⠒⠓⢳⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠘⠦⣀⣀⣀⣀⡤⠞⠁⠀⠀⠀⢀⣸⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡷⠒⢤⡀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠈⠉⢻⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠼⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠓⠿⡴⠂⠀⠀⢀⣀⣀⣀⣀⣀⣀⡀⠀⢀⣀⣠⡼⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⣾⣿⣷⣾⣿⣶⣿⡛⠻⠛⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠙⢿⣿⣿⣿⣿⠇⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠙⠦⣄⣀⣀⣀⣀⣀⣠⡎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠴⠚⠃⠀⠀⠀⠀⠉⠉⠉⠁⠀⠉⠉⠉⠓⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⣀⣤⣀⠀⠀⠀⠀⠀⠀⣀⡤⠶⢿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠸⣇⡤⠞⣷⠦⣤⠞⠋⠉⠉⣳⠀⠀⠙⢦⡀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣀⣼⡁⣼⠁⢀⡇⠀⠀⠀⡼⠁⠀⠀⠀⠀⣷⠀⠀ ⠀⠀⠀⠀⠀⡸⠃⠀⣠⡴⠛⠁⠀⠉⠙⠒⠋⠀⠀⠀⡼⠁⠀⠀⠀⢀⡴⠃⠀⠀ ⠀⠀⠀⠀⣼⠃⠀⠀⠘⠷⣄⠀⠀⠀⠀⠀⠀⠀⣠⠞⠓⠒⠒⠒⠻⡏⠀⠀⠀⠀ ⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠈⠛⠲⠦⠴⠶⠖⠋⠁⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⡦⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⡤⠖⣶⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⡄⠀⠉⠉⠙⠛⠛⠋⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⣀⡽⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣄⣀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠶⠤⡤⠖⠒⠋⢫⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡏⠈⠉⠉⣹⠋⠉⠉⠉⠀⠀⠀⠀⢹⡄⠀⠀⠸⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠁⠀⠀⠠⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⣷⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠾⣄⡀⠀⣠⠟⡆⠀⠀⠀⠀⠀⠀⠀⣟⠙⠦⠴⠚⢁⣼⡀⠀⠀⠀ ⠀⠀⠀⢀⠿⣄⣀⣉⣉⣁⣴⣇⠀⠀⠀⠀⠀⠀⠀⣿⡷⢶⠶⠒⠋⠁⠉⢷⡀⠀ ⠀⠀⡴⠋⠀⠀⠀⠀⠀⡏⣠⣿⠀⠀⠀⠀⠀⠀⠀⣿⣧⠼⠀⠀⠀⠀⠀⠀⠹⡄ ⠀⣼⠁⠀⠀⠀⠀⠀⠀⣩⣿⠋⠀⠀⠀⠀⠀⠀⠀⠈⢮⡓⠦⣄⡀⠀⠀⠀⠀⣷ ⠀⣏⠀⠀⠀⢀⣠⢴⡻⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⢭⣙⣒⣒⣲⠟ ⠀⠻⢭⣿⡭⠽⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠒⢦⡀⠀⠀⠀⠀⣠⡶⠋⠙⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠈⠶⣄⣠⠞⠁⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠈⣇⣀⣀⣀⠤⠤⠤⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡞⠉⠉⠉⠉⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⢈⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣨⠇⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⢄⠀⠀⠀ ⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⢤⠀⠀⠳⣄⣀⣸⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀ ⢧⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠑⣦⠞⠉⠉⠉⠉⠉⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠗ ⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠻⢤⣴⠃⠀⠀⠀⠀⠀⠀⠀⣤⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀ ⠀⠀⠘⣦⠀⠀⠀⢀⣀⣀⠀⠀⢽⡀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡤⠖⠒⠒⠶⣄⣠⠀⠀⠀⠀⠠⣿⠁⠀⠀⠀ ⠀⠀⡸⠃⠀⠀⣰⣿⣿⣾⠷⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀ ⠀⡴⠃⠀⠀⠀⢿⣼⡉⠃⠀⠀⠀⠀⠈⠓⠲⠤⠤⠴⠚⠛⢦⡀⠀⠀⠀⠀⠀⠿⣿⡛⠓⠀⠀⢀⣇⠀⠀⠀ ⠀⠛⠲⢤⣄⣀⣀⣹⠇⠀⣰⡟⠙⣦⠀⠀⠀⠀⠠⣀⠀⠀⠀⠙⡆⠀⠀⠀⠀⣰⣿⣿⣷⣤⠤⠞⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣉⠙⣆⡀⠈⣷⠋⠈⣷⡀⠀⠀⠀⠉⠓⢤⣤⡴⠧⢤⣤⡤⠾⢧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠞⠉⠀⠉⠻⣽⡄⠘⢦⡞⠉⢙⣷⣄⡀⣴⠶⣤⠀⠀⠀⠀⢿⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⠃⠀⠀⠀⠀⠀⣿⠉⢳⣄⣓⢴⣯⣀⠈⠹⠟⠀⠘⡇⠀⠀⠀⣮⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡏⠀⠀⠀⠀⠀⠀⢹⠤⣏⠀⣼⢏⠉⠉⠀⠀⠀⠀⠘⠛⡟⠓⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠁⠀⠀⠀⠀⠀⠀⣾⠀⠈⠓⠛⢾⡆⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⠀⠀⠀⠀⠀⠀⠀⡏⠉⠉⠉⠙⠛⢻⣶⠀⠀⠀⠀⠘⡟⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡏⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⢱⡄⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⢸⡃⠀⠀⠀⠀⠀⠨⣿⠀⠀⠀⠀⠀⠀⠻⣄⡈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣷⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠈⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⡆⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⠀⠀⠙⢦⣄⠀⠀⢀⣰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣽⣆⠀⠀⠀⠀⠀⠀⠹⣦⣀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡏⠘⢧⡀⠀⠀⠀⠀⠀⠈⠉⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡇⠀⠈⢻⠀⠀⠀⠀⠀⠰⡶⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣇⡀⠀⠘⣇⠀⡆⠘⣆⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠓⠶⢬⣷⣼⣦⣼⣟⣋⣀⣀⣀⣠⡤⠴⠖⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⡀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⡠⠐⠀⠈⠁⠐⠪⢟⢁⡰⢄⠀⠀⠀⠀⠀⠀ ⢠⠺⠀⠀⠀⠀⠀⠠⠆⡀⢣⢀⡀⢡⠀⠀⠀⠀⠀ ⡆⡇⠀⠀⠀⠀⠀⠰⠀⡡⢳⣄⡈⡾⠀⠀⠀⠀⠀ ⠰⡡⡀⠀⠀⠀⢀⡠⠀⢇⠻⣺⡝⠁⠀⠀⠀⠀⠀ ⠀⢭⡩⠃⠯⣉⠡⠃⠀⠈⠊⡙⠀⠀⠀⠀⠀⠀⠀ ⢀⠜⠤⡄⠀⠀⠀⠀⢀⣤⠌⢣⡀⣀⠀⠀⠀⠀⠀ ⣎⡠⢺⣁⣀⣠⡴⣾⡛⠁⠀⠀⠹⢣⠹⡢⡀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⠀⢨⢶⢤⢀⠔⢸⡇⢣⠱⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⢼⠾⣴⠧⡚⢴⠋⠀⠱⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⢿⡀⣇⠹⢀⠛⣸⢡⠀⠀⡇ ⠀⠀⠀⠀⡨⢷⡺⠷⣬⢱⢻⠀⠏⡰⠃⢸⠀⠀⠀ ⠀⠀⠀⢘⠤⢭⡿⡻⠆⠈⣷⣾⣔⣁⣀⡼⠀⠀⡄ ⠀⠀⠀⠈⠢⡁⢸⢩⣷⣀⡸⠀⡇⠀⠀⠀⠀⣠⡇ ⠀⠀⠀⠀⠀⠀⠉⠉⠁⠘⠛⠛⠛⠛⠚⠛⠛⠒⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⠶⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⢦⣤⡀⠀⠀⠀⠀⠀⢀⣤⣶⡿⠋⠀⠀⠀⠀⠚⠙⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡶⢶⣄⠀⢠⣶⣿⠀⠀⢸⡇⠀⠀⠀⢀⣴⣿⣿⠏⠀⠀⣀⣦⣾⣦⡀⠀⠸⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⣦⡀⠀⠀⠀⠀⠀⠀⣤⣾⣿⠀⠈⣿⠀⣿⣿⣿⠀⠀⢸⡇⠀⠀⣠⣾⣿⡿⠋⠀⢀⣴⣿⣿⣿⣿⣧⠀⠀⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡟⠁⢸⢹⡇⠀⠀⠀⠀⣀⣠⣿⣿⣿⠀⠀⣿⠀⣿⣿⣿⠀⠀⢸⡇⠀⣰⣿⣿⡿⠁⠀⢀⣰⣿⡿⠿⣿⣿⠃⠀⠀⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⣀⣤⣤⣤⣀⣀⣀⣠⣿⣿⠏⠀⠐⠸⠧⡴⠶⠞⠛⠉⢹⣿⣿⣿⠀⠸⣿⡀⢹⣿⣿⠀⠀⢹⡇⢠⣿⣿⡿⠁⠀⠀⢸⣿⠋⣠⣤⡾⠁⠀⠀⣰⣿⠀⠀⠀⠀⠀⠀ ⢠⣿⣿⠏⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⠀⠀⣿⡇⠀⣿⣿⡄⠀⢸⣷⣿⣿⣿⡇⠀⠀⠀⠙⠛⠛⠉⠁⠀⠀⣠⣾⣿⣿⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣾⣿⣿⣿⣿⠟⠀⠀⠙⢷⣶⡿⠛⠃⠀⠀⢹⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⡿⠃⠀⢀⣤⣶⣦⡄ ⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠋⢁⣠⡴⠿⠉⠁⢹⡿ ⠀⠀⠀⠉⠙⠛⠛⠛⠛⢻⣿⣿⣇⠀⠀⢻⡏⠉⠁⠀⢸⣿⣿⣿⣦⡀⠀⠀⣰⣶⣾⣿⣿⡄⠀⢰⡟⠘⣿⣿⣿⣷⡀⠀⠈⠻⢿⣿⣿⣿⣥⡴⠞⠋⠀⠀⠀⣀⣼⣿⡃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡯⠀⠀⢸⡇⠀⠀⠀⠀⠿⣿⣿⣿⣇⠀⠀⣿⠿⠿⣿⣿⡇⠀⠘⣷⠀⠙⢿⣿⣿⣿⣦⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⣀⣦⣾⣿⣿⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠈⣿⣿⣿⠀⠀⣿⡄⠀⣿⣿⣇⠀⠀⢹⡄⠀⠈⠻⣿⣿⣿⣿⣶⣤⣤⣤⣤⣤⣴⣶⣿⣿⣿⣿⡿⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣏⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣄⢀⣿⠃⠀⣿⣿⣿⣶⣶⣿⡅⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣦⣾⡿⠁⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⠏⠀⠀⢸⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠋⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣖⣓⣲⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢞⡡⣶⠋⠁⠀⠀⠀⠀⠀⠈⠙⢶⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠋⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠑⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠞⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠲⡄⠀⢀⣀⣀⣀⠘⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⢨⡄⢠⡇⣠⠼⠚⣿⣿⣏⣉⣑⣿⣋⠭⠥⠿⠿⢍⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡄⢸⠿⡌⣯⡔⠂⠉⠀⠀⠀⠀⢀⡿⠔⠒⠒⠒⢢⣤⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢳⣾⠀⠹⡌⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⢿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣀⡿⠦⠀⠀⠀⠀⠀⢀⡠⠤⠄⠒⠒⠒⠒⠒⠚⠙⢿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡻⣿⡿⠀⠀⠀⢠⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠼⡥⠞⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣠⣴⣿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡇⠀⠀⡀⠀⠀⠠⠔⣺⡿⠿⠻⣶⡖⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣼⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠁⠀⢑⡿⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠐⢧⣀⠀⠀⠘⠦⣄⣀⠀⠀⢀⣀⠴⣿⠢⢄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠈⠑⠢⠤⣄⣀⣈⣉⠉⠁⠀⠀⢻⠀⢀⠵⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡽⠳⡀⠀⠀⠸⣧⡜⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡹⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠙⢆⠀⢀⡞⠳⣤⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡠⠤⠚⠓⠒⠪⠷⣦⠤⣀⣀⣀⣀⣠⣧⠀⠀⠀⠈⠳⠞⠀⠀⠈⢷⠦⢄⡀⠀⠀ ⠀⠀⡠⠚⠁⠀⠀⠀⡀⠀⠀⠀⠈⠳⡀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠙⣆⠀ ⠠⣞⡀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⢈⡇ ⠀⠀⠈⠉⠑⠐⠊⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠶⢤⡀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠲⢌⡒⠒⠉⠁⣄⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣯⠉⠉⠉⠑⠁⠁⠀⠀⠀⠀⠀⠀⠀⠘⣾⢦⣀⠀⠀⠀⠀⠀⠀⠀⠛⢷⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠙⠢⣌⡇⠀⠀⠀⣴⠋⠙⠛⠁⢤⡙⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡤⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⣄⠤⠷⢤⣴⡟⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠒⠀⠉⠓⢾⠁⠀⢀⠀⠉⡗⠀⠀⠀⠀⠙⢧⣄⣀⣀⣀⣾⢋⣀⣀⣀⣀⣀⡀⠀ ⠀⠘⢧⣄⠀⠀⠀⠀⠀⠈⡹⠀⠀⣀⠀⠀⠀⢇⠀⢙⡁⠀⡟⢾⠛⠛⢛⣛⡛⠋⠉⢻⣿⠉⠀⠀⠀⠀⠈⠉⠙⣷ ⠀⠀⢀⣟⠀⠀⠀⠀⠀⠘⠻⡄⠀⠉⠀⠀⢀⠞⠉⠁⢈⡟⠓⢾⣿⣿⣧⣴⣶⣶⣶⣾⠷⠴⣶⠶⣶⠶⢶⡶⠾⠋ ⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠒⠒⠚⠁⠀⠀⠚⠉⠀⢀⡠⠃⠀⠀⠀⠀⠀⠀⣛⡆⠀⢸⠀⢸⠀⠀⡳⠀⠀ ⠀⠀⠙⠒⠦⢤⠀⠀⢰⣿⣿⡄⢀⣀⣀⣀⣀⣠⣤⡤⠐⣾⣿⣷⣶⣶⣶⣶⣤⣶⣶⣿⠦⠒⠚⠒⠚⠒⠚⠛⣶⠀ ⠀⠀⠀⠀⠀⢸⡀⠀⠈⠛⠯⠞⡻⣀⣇⠀⣹⢀⣿⢷⡄⣸⣿⣭⣭⣿⣶⣤⣭⣥⣤⣿⣤⣤⣤⣤⡶⠶⠒⠚⠛⠀ ⠀⠀⠀⠀⠀⠀⠷⠤⠐⢲⠀⢀⣷⠀⠉⠉⠉⠁⢀⠾⣟⣿⠉⠉⠉⠉⠙⣿⣯⡿⠛⠉⠉⠉⢙⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢯⣼⠉⣻⠉⢻⠉⣹⣤⣼⣿⣀⣀⣀⣀⣀⣿⣏⣳⣦⣤⣶⣾⣿⣿⣿⣦⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣏⠉⠒⠉⠉⠹⣾⠟⠛⠻⣿⡿⠿⠿⠿⣿⠛⢿⠛⠉⠉⠁⣀⣿⣾⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣦⡀⠢⡀⠀⠈⠳⣤⡤⢿⣷⣦⣤⣼⣽⣠⣼⡷⠶⠟⠛⣛⣉⣉⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠙⢦⡀⠀⠀⠀⠀⠙⢶⡾⢿⣿⣿⣟⠉⠀⠀⠀⢀⠞⣯⣽⡿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠙⠲⣄⡀⠀⠀⠀⠀⠀⢰⣻⣿⣠⡴⠒⠚⠛⠒⠋⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢸⠀⠀⠀⠀⢄⡙⠒⠤⣄⡀⠀⢠⣴⠿⣿⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠌⠀⠀⠀⠀⠀⠈⠲⠤⠤⠉⠛⢹⡷⠶⣿⠄⠉⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⣀⠀⠀⡀⠀⠀⢀⡀⠀⣠⠶⠤⠿⢧⡀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠗⠋⢹⣦⣴⠛⣆⣰⠏⡟⠻⠟⠀⠀⠀⠀⠙⢦⠀⠀⠀⣰⣿⠟⢉⣽⣶⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣡⠃⠀⠘⢁⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⢰⠁⢉⡴⢋⣼⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠁⢀⣠⣤⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣞⡶⠃⡠⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣮⢤⡴⠋⢼⣉⠼⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠖⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠒⠶⠤⠤⠴⠶⠒⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⡀⠠⠀⢤⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⡄⠀⠀⠀⠀⢁⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢐⠤⢀⠠⢄⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⢤⢝⢸⣑⡊⢂⠀⠀⠀⠀⠀⠀⢀⣠⠴⠶⢦⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡰⠁⠈⠊⠁⠗⡀⠆⠀⠀⢀⣀⠎⠟⠁⠀⠀⠈⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠰⠀⢐⣀⠀⠀⠆⠰⠈⡄⠘⣙⡟⠠⠁⠀⠀⠀⢸⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⢰⣀⠰⠉⠀⠀⠐⠀⠣⡈⠽⠿⠛⠀⠀⠀⠀⠀⡞⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⢿⢃⠀⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠘⠻⣶⣾⠋⠓⢦⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⡇⢠⠉⠹⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠈⠀⠀⡆⡀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢣⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢷⣣⠀⠀⣙⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⡀⠈⠀⠑⢄⠀⠀⠀⢀⠃⣘⢹⠀⠀⡉⡇⠀⠀⠀⣇⠀⠀⠀⠀⠀⠈⡆⠀ ⠈⠛⠀⠀⠀⠀⠀⠑⠂⠲⠵⠾⠟⠛⠀⠀⠛⠻⢶⣤⠀⠘⢄⠀⠀⠀⢀⡸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠊⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣦⢀⣷⣧⣡⣶⡄⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⠛⠁⠘⠋⠀⠿⠋⢻⡿⢿⣤⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠃⢷⢿⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢹⡿⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⢡⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢡⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡷⠷⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢁⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠃⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡾⠛⠙⠚⢧⡀⠀⠀⠀⣠⠇⠀⠀⠀⠀⠀⠀⠀⠀⡎⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢷⣄⣄⠀⠀⠙⠒⠒⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣤⠀⠈⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⠿⠋⣼⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⢈⣻⣏⡁⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣄⣤⡀⠀⠀⠀⠀⠉⠉⠙⠒⠒⠒⣯⠹⡍⢫⡈⡷⠀⠀⠈⣧⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡖⢿⣇⠉⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡗⠺⠒⠋⠁⢀⣠⣤⣽⣦⣤⣶⡋⠙⠓⠒⣿⡖⠦⢤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⡾⢻⣷⠾⠿⠃⠀⢙⢦⡀⠀⠀⠀⠀⠀⠀⠈⢛⣲⣆⣠⣶⣏⣉⠀⠉⠉⠻⢾⣝⡿⣦⡀⢸⣧⠀⠀⠀⠈⠉⡳⢦⡀⠀⣴⣦⣀⣀⠀⠀ ⢸⣟⣷⢤⣷⣶⢿⠀⠀⠀⠠⠝⢦⣀⠀⠀⢀⣀⣾⠟⠉⠉⠉⠉⣿⠻⠀⠀⠀⠀⠀⠈⠻⢮⡻⠿⣿⣀⠀⠀⠀⠀⠀⠙⠼⢻⡇⠞⢋⣿⠀⠀ ⢸⢉⠙⠛⢿⣧⠼⣧⣀⠀⠀⠀⠁⠈⠉⠉⠉⠀⣿⠀⠀⠀⠀⠀⠛⢀⠀⠀⡀⠀⠀⠀⠀⠈⠛⠛⠳⢮⣝⡶⣤⣄⡀⠀⠀⠀⠀⠠⠞⢳⣲⡆ ⢸⠈⢳⡀⠀⠀⠀⡏⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠍⠛⣠⣿⠀⠀⠃⢀⡀⠆⠆⠾⡄⢠⣤⣠⣝⣿⣮⠻⡝⠳⣄⡀⠀⣠⠾⠚⠉⠁ ⣸⠀⢠⠇⠀⠀⠀⣇⠀⠀⠉⠳⣤⡀⠀⠀⠀⠀⠀⢹⣷⣀⣴⣾⣟⠁⠀⠠⣀⣌⣱⣿⣿⠿⠛⠛⠉⠉⠉⠛⢿⣶⣿⠀⠈⠉⠉⠁⠀⠀⠀⠀ ⣿⠶⠋⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠉⠉⠈⠉⠁⠀⣿⡆⠀⣂⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠠⠀⢸⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⣄⣀⠀⠀⢠⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣁⣼⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⢿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣶⣶⣤⣤⡶⠟⠉⢸⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⣙⣿⣿⣿⣿⣿⣿⠏⠀⠘⣿⣿⡇⠀⠀⠀⠘⠳⣤⡤⢤⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢧⠀⠀⠀⢸⣿⠀⠀⠈⠉⠉⠋⠀⠀⠀⠈⠉⢻⣵⡀⠀⠀⣠⠋⣠⠞⠋⢩⣿⣿⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⣦⣀⣀⣨⡟⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣤⣠⡇⢠⣿⠷⣦⡟⡟⠀⢻⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⢧⣤⣬⣭⣥⠤⠿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣾⣧⢀⣿⢰⠁⠀⡾⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⣘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠉⠈⠙⡏⢸⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠿⠦⠤⠤⢤⣠⠤⠤⠤⠖⠚⢉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣛⡳⠶⠞⣣⡎⣀⡼⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠲⠤⠤⠤⠤⠤⠤⠤⠔⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡉⠉⢉⡁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⣄⡀⠀⠀⠀⠀⠀⢀⣠⠖⠒⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠉⠑⠦⣄⣀⡾⠋⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣠⠤⠤⠒⠒⠒⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠦⠤⢄⣀⡀⠀⠀⠀ ⠀⠀⠀⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀ ⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀ ⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀ ⠀⠀⢀⣠⠼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣄⠀⠀ ⢀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⠄ ⢿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⣠⠞⠀ ⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⢆⠀⠐⣦⡀⠰⡄⠀⠈⡧⣟⠀⠀⢰⡆⢀⣴⠀⢀⣹⣀⣾⠁⠀⠀ ⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠘⠳⣷⡤⠿⠚⠛⠟⠛⠛⠓⣶⠃⠸⢶⣺⣟⠋⠻⠋⠉⢛⡿⠛⢹⡆⠀⠀ ⠀⠀⠀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣤⡤⠤⠤⢶⡾⠋⠀⠀⠀⠀⠀⠹⡦⢤⣶⡟⢀⣠⠿⠃⠀⠀ ⠀⠀⣾⠁⠀⠀⠀⠀⠀⢀⣶⣶⠲⠄⠀⠈⠁⠀⠀⠀⠀⠀⠀⢠⣄⣀⣤⠾⠃⠀⠈⢿⠉⠀⠀⠀⠀⠀ ⠀⠀⠻⣄⠀⠀⠀⠀⠀⢻⣍⡏⣗⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⠒⠒⢦⡀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠑⠲⣦⠀⠀⠉⠛⡟⠀⠀⠀⠀⠀⠀⣠⡶⠋⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⢘⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣀⣀⣀⣠⣷⠀⠀⠀⠀⢀⣴⡏⠀⠀⠀⠀⠀⠀⠀⠀⠽⣦⠤⠒⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⣀⠼⣄⠀⠀⠀⣿⣸⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣯⠀⣸⠋⠓⣾⠋⢹⡿⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠉⠛⠦⣼⠁⠀⠀⠐⠖⠻⣧⠀⠀⠀⢀⣠⠴⠖⠛⢻⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⢰⡞⠾⡇⠀⣴⠋⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⣿⣿⠾⠿⣬⣥⡤⠤⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⢠⠞⠁⠀⠀⠀⢠⡾⠁⠀⠀⠀⠈⣿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠉⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⢿⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⡄⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⣾⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠀⢷⡀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡯⠀⠈⠳⢤⣤⡤⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⠶⠤⠤⠤⣤⣤⡤⠤⠤⠤⠶⠖⠒⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⢀⣠⣄⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣄⡀⠀⠀⠀⣰⣿⣿⣦⠀⠀⣠⣿⣿⣷⣄⠀⣰⣿⡿⣿⣷⡄⠀⣴⣿⣿⣷⡀⠀⢠⣼⣿⣷⡀⠀⠀⠀⣠⣤⡀ ⣿⣿⣿⣦⣀⣼⣿⠏⠙⣿⣷⣼⣿⡟⠈⠻⣿⣷⣿⡏⠀⠈⢿⣿⣾⣿⠏⠈⢿⣿⣴⣿⡿⠉⢿⣿⣄⣰⣾⣿⣿⠇ ⣿⣿⠙⢿⣿⣿⠏⠀⠀⠘⣿⣿⠋⠀⠀⠀⠹⠿⠏⠀⠀⠀⠈⠿⠿⠁⠀⠀⠈⢿⣿⡟⠀⠀⠈⢿⣿⡿⠋⢸⣿⠀ ⣿⣿⠀⠀⠛⠋⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠘⠛⠁⠀⢸⣿⠀ ⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀ ⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀ ⢸⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀ ⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀ ⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀ ⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀ ⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀ ⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡇⠀ ⠀⣸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡃⠀ ⣸⣿⠟⠁⠀⣀⣠⣴⣶⣶⣶⣶⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣶⣶⣦⣄⣀⠀⠙⣿⣷⠀ ⣿⣿⢀⣴⣾⡿⠟⠛⠉⠉⠉⠙⠛⠿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠿⠛⠋⠉⠉⠉⠛⠻⢿⣷⣦⣸⣿⡇ ⢿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⡀⠀⠀⠀⠀⢀⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⠁ ⢨⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⡀⠀⠀⠀⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡄ ⣾⣿⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⣀⣄⡀⠀⠀⠀⠀⠀⠈⣿⣿ ⣿⣏⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⡧⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣿ ⢿⣿⡀⠀⠀⠀⠀⠀⠛⠛⠃⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⢀⣿⣿ ⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠁⠀⠀⠀⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃ ⢸⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠁⠀⠀⠀⠀⠈⢻⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡟⠀ ⣼⣿⣎⠻⢿⣷⣶⣤⣀⣀⣀⣠⣤⣶⣿⡿⣿⣇⠀⠀⠀⠀⠀⠀⢰⣿⢿⣿⣶⣤⣄⣀⣀⣀⣤⣴⣿⡿⠛⣿⣷⡄ ⣿⢁⣍⠀⠀⠉⠛⠛⠿⠿⠿⠿⠛⠋⠁⠀⠸⣿⣦⣀⣀⢀⣀⣴⣿⠃⠀⠈⠙⠛⠿⠿⠿⠿⠟⠛⠉⠀⢀⡅⢹⣷ ⣿⡀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⢿⡿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⣸⡿ ⠹⣷⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣴⡿⠃ ⠀⠙⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠋⠁⠀ ⠀⠀⣼⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⠁⠀⠀ ⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⠀⠀⠀
⠀⠀⢀⠠⠤⡤⠄⠐⠒⠂⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⡗⡒⠁⠀⠀⠀⠀⠀⠀⠀⠁⠂⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡁⠭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⢀⡀⠬⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⠈⢃⡰⠉⠉⡄⠀⠀⠀⠀⠀⠀ ⠀⠘⡀⠀⠀⠀⠀⠀⢃⠠⠊⠁⠀⢀⠎⠀⡠⠔⠃⠐⠂⠄⡀⠀⠀ ⠀⠀⠐⢄⠀⣄⠀⠀⠀⠑⠠⠤⠐⠁⠠⠊⠀⠀⠀⡀⠤⣰⡸⠀⠀ ⠀⠀⠀⠀⢳⠌⣎⠒⠀⠀⠀⠀⢠⠊⠀⠀⡀⢔⡭⢔⣝⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠁⢸⢫⠅⢀⠀⢠⠃⠀⢀⠔⣰⣎⢜⠕⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠐⢳⠋⠀⡄⠀⢠⣣⣿⣿⡇⡃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠇⠀⣿⣟⣿⣙⣿⢰⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠈⠄⡉⠏⠙⠿⢯⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡐⠈⠒⠠⢀⣀⠈⠙⠒⢄⠘⡵⢢⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡀⠀⣧⡀⠀⠀⠀⠀⠈⡕⢄⠀⢰⠣⠀⣆⠀⠀⠀⠀ ⠀⢀⠔⠉⠀⠀⠀⠀⠙⠕⠂⠄⣀⢠⠀⠀⠡⡘⠀⠡⣇⠉⠂⢄⠀ ⠠⠁⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠁
⠀⠀⠀⠀⠀⢀⠤⡀⠀⢀⠠⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣀⣀⠇⠀⠀⠑⠁⠀⠀⢃⡀⠠⠤⡀⠀⠀ ⠀⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠃⠀⠀ ⢀⠤⠃⠀⠀⠀⢀⠀⡄⠀⠀⠀⠀⠀⠀⠈⠂⢄⠀ ⢃⠀⠀⠀⠠⣈⠎⠉⠉⢙⡄⠀⠀⠀⠀⠀⠀⡠⠁ ⠀⡕⠀⣴⡦⠈⢄⠀⠀⢀⠔⠉⠁⢲⠀⠀⢃⠀⠀ ⠘⠤⢀⣳⠀⢄⡄⠉⠉⡁⠑⡄⠀⡨⡿⠤⠜⠀⠀ ⠀⠠⠊⠘⡦⡡⡊⡦⢤⠬⡉⠈⡏⠈⠀⠀⠀⠀⠀ ⢀⠁⠀⠀⡑⠏⢯⠁⠀⠀⠳⠒⠁⠀⠀⠀⠀⠀⠀ ⠘⠀⠀⠀⡏⠉⠉⢳⠀⠀⢗⢄⠀⠀⠀⠀⠀⠀⠀ ⢠⠀⠀⠀⠅⠀⠀⢸⠀⠀⠈⠂⡆⠀⠀⠀⠀⠀⠀ ⠈⢂⠀⠀⠈⢆⠀⠀⠣⡀⠀⠀⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠱⡀⠀⠀⠢⢀⠀⠈⠒⠊⢡⠀⠀⠀⠀⠀⠀ ⠀⠀⡄⠘⡀⡀⠐⡞⠀⠀⠀⠀⣀⡇⠀⠀⠀⠀⠀ ⠀⠀⠈⠑⠒⠓⠋⠁⠀⠒⠂⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠉⠢⣄⠀⢀⠔⠉⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠈⠓⠁⠀⠀⠀⠀⠸⡀⢀⣀⣀⣀⣀⠀⠀⠀⠀ ⠀⠀⠠⡎⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⢸⡆⠀⠀⠀ ⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠀⠀⠀⠀ ⠀⠀⠀⣸⠄⠀⠀⠀⠀⠀⢀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢤⡀⠀⠀ ⡴⠚⠉⠀⠀⠀⠀⠀⠠⡄⠈⣧⣀⣸⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀ ⠣⡀⠀⠀⠀⠀⠀⠠⡀⢈⠟⠁⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃ ⠀⠙⢦⠀⠀⠀⢀⠀⠈⢹⠀⠀⠀⠀⠀⠀⠉⣇⡠⠤⠤⣄⣀⠀⠀⠀⠀⡖⠉⠀⠀ ⠀⢠⠏⠀⢀⣾⣿⡿⠂⠀⠳⣀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⢹⡀⠀⠀⠀⢹⠀⠀⠀ ⠠⣇⠀⠀⠈⢻⡎⠁⣀⣄⡀⠀⠉⠒⠒⠉⠉⠢⡀⠀⠀⠀⠛⣿⣍⡀⠀⣸⠆⠀⠀ ⠀⠀⠉⠑⣶⠺⣇⠀⢯⡴⠳⣄⠀⠀⠐⠦⣀⣀⡼⣀⣀⡠⣞⡛⠋⠉⠉⠁⠀⠀⠀ ⠀⠀⢠⠞⠉⠉⠻⣵⡈⢣⡞⠉⣷⣄⣠⡤⢤⠀⠀⠀⣇⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠃⠀⠀⠀⠀⣏⣹⠆⢿⠾⠦⠀⠙⠁⢨⣇⣀⣀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡜⠀⠀⠀⠀⠀⡏⠙⠦⢯⣦⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⠀⠀⠀⢠⡏⠒⠒⠒⠛⣦⠀⠀⠀⠐⡷⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢱⡀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⡄⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠑⠂⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢣⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠳⡀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠳⡀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⣆⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠈⠓⠦⠴⠚⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡏⢣⡀⠀⠀⠀⠀⠙⠒⡆⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡇⠀⢹⠀⠀⢀⠀⢲⡊⠁⠀⠀⠀⠀⠀⠀⢀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⢤⣀⣣⣸⡄⢣⡤⠃⠀⠀⠀⣀⣠⠤⠴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠢⠛⠚⠔⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠉⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠠⡑⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣎⠀⠑⡀⠀⠀⠀⢀⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢐⡉⠃⠄⠠⠁⠀⠀⠀⣄⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡘⠁⠀⠀⠀⢀⢞⠄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⢀⠈⠐⠒⠀⠰⣒⢗⠀⠸⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⢀⡔⡟⡇⠑⢄⠀⠀⢀⡳⠤⣶⠉⠛⠷⣦⣸⡈⠉⠒⣄⡠⣄⡀ ⠸⠝⠫⠣⢄⠀⠁⠀⠹⡀⠀⢀⡀⠄⠀⢈⠛⠫⣶⣤⡀⠈⣘⠶ ⣄⠜⠀⠀⠀⠑⠠⠤⠤⠷⠔⢫⠀⣴⡼⠛⠉⠉⠙⣿⠀⠉⠀⠀ ⠑⠂⠀⠂⠀⠀⠀⠀⠀⠀⠀⣸⣾⣿⡀⠀⠀⠀⠀⢿⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⢿⣿⣿⣿⡦⣤⡤⠔⢻⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢰⡉⠙⠛⠀⠈⠱⡄⢠⢫⡓⣶⢆ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⠖⠉⠉⠒⡀⠀⠀⠀⠀⠈⢉⠾⢼⡆⠘ ⠀⠀⠀⠀⠀⠀⠀⠞⢒⣒⡒⠒⠌⠃⠀⠀⠀⠀⠀⠋⠴⠤⠁⠃
⠀⠀⠀⠀⠀⠀⡠⢒⠠⣀⠠⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡆⠀⠒⠉⠀⠈⠀⠀⠐⣣⠄⡀⠀⠀⣀⣲⡤⣄⠀⠀⠀⠀⠀ ⠀⢀⠴⠃⠀⠀⠀⠀⠀⡀⢀⡀⢄⣵⠂⠀⢸⡁⠈⠀⢪⡇⠀⠀⠀⠀ ⠘⢦⠀⠀⠀⠀⢤⠂⠉⠁⢢⠀⠄⢹⣁⣤⣤⣷⠤⣤⠾⠀⠀⠤⠤⡄ ⠀⠀⠝⠀⠀⠀⠚⢀⠉⠀⡰⠂⣁⠞⢼⠶⠬⠥⠤⡾⠤⡤⠴⢶⠖⠃ ⠀⠘⠤⢀⠀⢠⣶⡀⢈⣀⣀⣀⠠⣤⣮⣤⣤⣠⣤⡼⠤⠧⠤⠤⢥⠀ ⠀⠀⠀⠈⡄⣈⡙⢨⠠⠤⠧⠛⣇⡿⠶⠿⢶⣶⡶⠷⠶⢶⡖⠂⠉⠀ ⠀⠀⠀⠀⠀⠀⠑⠮⣓⡖⣆⡨⣼⣧⣀⣀⣸⣟⣦⣤⣶⠿⡧⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠄⠈⠫⣉⣿⣍⣉⣿⣹⡤⠤⢶⡛⡅⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⠢⡀⠀⠈⠒⠿⣻⡏⢀⣀⣰⡹⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡐⡆⠀⠀⢕⠂⠄⣀⣩⠟⡿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠃⡀⢀⠀⠀⠉⢩⠄⣿⡉⠁⠈⢂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠚⠉⠷⡎⠢⢊⡏⠋⠀⠀⠈⢆⠀⡼⢏⠼⡷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⡀⣤⡋⠀⠀⠀⠀⠀⠈⢴⡖⡡⠊⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠯⠬⠈⠺⠭⠆⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠉⠙⠲⣄⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠙⢦⡤⠖⠋⠉⠀⠀⠉⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡤⠴⠒⠒⠤⠤⣤⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠲⠤⠤⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠀⠀ ⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀ ⠀⠀⠀⣀⠶⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡇⠀⠀ ⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠀⢹⠀⠀⢀⡇⠀⣸⣧⠀⠀⠀⡄⠀⠀⠀⠀⠀⠈⠹⢦⡀ ⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠷⠴⠚⠓⠛⢻⡛⠓⠛⠺⣿⠷⠾⠷⣤⣴⡇⢠⣤⠀⠀⢸⣳ ⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⡻⡏⠀⠀⠀⡿⠀⠀⠀⠀⣸⡉⠿⣷⣶⣶⡿⠋ ⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⣀⣀⣀⣀⣀⣀⣀⠀⣸⠥⠶⠦⣄⠀⠿⠋⢁⣾⠟⠋⠀⠀ ⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⢸⣤⠤⣀⡾⠁⠀⠀⠀⠀ ⠀⠀⡟⠀⠀⠀⠀⠀⠀⢠⣾⣹⣉⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠒⠋⠀⠀⢾⡀⠀⠀⠀⠀⠀ ⠀⠀⠳⢤⡀⠀⠀⠀⠀⢸⡀⣿⡻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠙⠒⢦⠀⠀⠙⠒⢶⠃⠀⠀⠸⠻⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠒⠶⠶⢤⣤⠤⠶⠖⠒⠋⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣧⣀⣀⣀⣼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠚⢣⣄⣀⠀⠀⠀⠀⠀⣤⣤⣾⠓⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠷⠶⢾⡁⢈⡟⠙⣿⣿⣿⣿⣿⣿⣿⣾⣥⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠈⠻⠚⠳⣴⣿⣿⣿⣿⣿⣿⠿⣿⣿⢯⡉⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⡀⢀⣿⣿⣿⠿⠋⠀⡼⣳⠈⠻⠄⢷⡀⠙⢆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⣸⣳⣿⠀⠉⠁⠀⠀⠎⣠⣿⡆⠀⠀⠀⠣⡀⠀⠳⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠐⣿⣿⠋⠀⠀⠀⠀⠀⠈⢉⡞⠀⠀⠀⠀⠀⠙⢦⡀⠙⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠰⠞⠉⠀⠀⠀⠀⠀⠀⣠⡴⠟⢹⣶⡀⠀⠀⠀⠀⠀⠉⠃⠀⢳⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡷⣦⣀⣾⣃⣿⣄⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⢀⡴⠿⣯⣿⡿⠟⠀⣹⣿⣼⠝⠷⣄⡀⠀⠀⠀⢀⣼⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⣀⣀⣀⣤⠴⠚⠋⠀⠀⠀⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠉⠓⠒⠒⠛⡅⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠓⠶⠤⢤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⡤⠤⠶⠛⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⠄⠄⡀⠀⠀⣀⡀⠀⠀⠀⠀ ⠀⠀⢠⠄⠀⠤⠂⠀⠀⠈⠈⠀⠀⠘⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠰⠀ ⢀⠄⠊⠀⠀⠀⠀⢀⢀⠀⡄⢀⠀⠀⠀⠀⠸⡀ ⠰⡀⠀⠀⠀⠀⠀⡓⠊⠈⡅⠙⡗⠒⢘⢴⣀⡼ ⠀⡸⠀⠀⠀⡀⠀⠑⠒⠒⠒⠐⠀⢰⣈⡰⠉⠀ ⠀⠅⣀⠀⢈⣷⠁⢀⠀⠀⠀⠀⠈⠁⠀⠣⡀⠀ ⠀⠀⠀⢸⠀⠈⠀⠀⠉⠀⠒⠀⡤⠀⠒⠊⠀⠀ ⠀⠀⠀⠈⠉⢉⡀⠀⠀⠀⣀⢃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠓⠢⢍⣿⣿⣿⣷⣯⢂⠀⠀⠀⠀ ⠀⠀⠀⢠⠁⠀⢠⣴⠛⠋⢜⡇⠁⠣⠑⡀⠀⠀ ⠀⠀⠀⢸⠀⠀⠘⠁⠀⣀⠤⢣⡀⠀⠑⠊⢂⠀ ⠀⠀⠀⠸⡀⠀⠀⡠⠺⠿⠋⠳⠗⠠⢀⣀⡜⠀ ⠀⠀⠀⠀⠈⢉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀ ⠀⠀⠀⠀⠀⠀⠉⠐⠒⠀⠀⠀⠀⠀⠐⠒⠈⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢮⢣⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠼⠀⠀⠹⣯⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡠⠾⣠⣀⡀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠯⠍⠀⠆⣀⠊⠀⢰⢦⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⢚⠉⢉⠵⠒⠒⠢⠄⠀⠸⡶⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⠽⠤⢾⠀⠀⠒⠀⢸⢀⣔⡶⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⢇⠀⣀⠤⢕⡒⠖⠒⠁⠀⠸⢆⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠫⣀⣀⣀⣀⣄⣀⠀⣀⠹⣿⡒⢄⠠⠜⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠒⡳⢶⣻⣿⠿⠿⡟⡆⢠⡶⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢑⣾⣍⠉⠁⢨⣗⣿⣿⣿⡲⠧⡀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠀⢀ ⠀⠀⠀⠀⡠⠒⠉⠈⠙⠤⣉⣁⣠⠟⠿⠟⢅⠀⠰⡄⠀⡀⠤⠤⠊⠀⠀⠔⠂⠈ ⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⡆⠀⢱⣀⠦⠤⡔⠀⠀⠀⠀⠠⠀ ⠀⡔⠁⠀⢀⠀⠀⣠⠀⡤⠠⡤⠂⢀⠄⠀⠇⢠⠀⠀⠫⡀⠘⠮⣙⣥⡤⢄⠀⡄ ⡘⠀⠀⠀⠈⠁⠞⣻⠚⢏⠂⢶⠊⠀⠀⢸⠀⠘⡄⠀⠀⠈⢢⠀⢀⠔⠁⠀⠉⠁ ⠇⠀⠀⠀⠀⢸⠀⡇⠑⠚⠀⠀⠧⠤⡀⠘⠀⠀⠑⠀⠀⠀⠀⠳⠉⠀⠀⠀⠀⠀ ⠘⢄⡀⠀⠀⠈⢆⣣⣀⣀⠦⠤⠒⠤⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠈⠉⠉⣟⠈⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢯⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⢊⣴⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠏⠐⠬⢑⣢⠤⠄⠀⠀⠤⠤⠄⣒⠩⠔⠊⢴⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠈⠉⠁⢐⡒⠈⢁⡠⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡿⠉⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀⠀⠀⠀⠀⢠⢿⠀⠀⠀⠀⠀⠀⠘⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠎⠀⠣⠀⠀⠀⠀⠀⠀⠘⡖⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡸⠈⠑⠂⠄⠄⠀⢀⡠⢾⠀⠀⠀⠵⣀⠀⠀⢀⡠⠊⠀⢃⠀⠀⠀⠀ ⠀⠀⠀⢸⡁⠀⠀⠀⠀⡠⠤⠠⠤⡇⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⣠⣿⡀⠀⠀⠀ ⠀⠀⣴⣇⡘⠉⠁⠰⠃⠀⠀⠀⠀⠈⠂⡰⠁⠃⠤⠤⠤⠄⢶⠊⣠⣎⡀⠀⠀⠀ ⠀⠀⠈⠑⠂⠭⢁⣃⣀⣀⣀⣀⣀⠠⠜⠉⠢⠄⣀⣀⣀⡀⢘⣒⡒⢭⡽⠀⠀⠀
⠀⠀⠀⠀⠀⣠⣤⡀⠀⠀⣠⣦⡄⠀⢀⣴⣶⣄⠀⠀⣴⣦⡀⠀⠀⣠⣤⠀⠀⠀⠀⠀⠀ ⣾⣿⣦⡀⣰⣿⠛⣿⣦⣾⡿⠙⣿⣶⣿⠏⠈⢿⣷⣾⠟⠹⣿⣤⣾⡟⢻⣷⣀⣤⣾⣿⠀ ⢸⣯⠙⣿⣿⠃⠀⠘⢿⠟⠀⠀⠈⠿⠋⠀⠀⠈⠿⠋⠀⠀⠘⣿⠏⠀⠀⢻⣿⠟⢹⣿⠀ ⢸⣿⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢸⣿⠀ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀ ⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀ ⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀ ⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀ ⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀ ⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀ ⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀ ⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀ ⣼⡿⠁⣠⣴⣾⠿⠿⠿⢿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠿⠿⠿⠿⣶⣦⣀⢻⣿⠀ ⢹⣷⣾⠟⠉⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠀⢀⣾⡟⠉⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⠀ ⢨⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀ ⣸⡏⠀⠀⠀⠀⣠⣤⡄⠀⠀⠀⠀⠈⣿⡆⠀⢸⡿⠀⠀⠀⠀⢀⣤⣦⡀⠀⠀⠀⠀⣿⡇ ⢿⣧⠀⠀⠀⠀⠻⠿⠃⠀⠀⠀⠀⢀⣿⠇⠀⢸⣷⠀⠀⠀⠀⠈⠿⠿⠃⠀⠀⠀⠀⣿⡇ ⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠁ ⢀⣿⢿⣧⣄⠀⠀⠀⠀⠀⢀⣠⣾⡟⠀⠀⠀⠀⠈⣿⣷⣄⡀⠀⠀⠀⠀⢀⣠⣾⣿⡇⠀ ⣾⢛⡃⠉⠻⠿⢶⣶⣶⡾⠿⠛⠙⣷⣄⠀⠀⠀⣰⡿⠉⠛⠿⢷⣶⣶⡾⠿⠛⠁⡛⢿⡄ ⣿⡘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⣼⡇ ⠘⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠟⠀ ⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀ ⠀⠀⢉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⣀⣠⣤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⡿⡿⠛⠛⠿⣿⡿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠛⠀⠀⠀⠀⢀⠑⢄⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣛⣿⠇⠀⢻⣟⣳⣦⣾⣦⢤⣽⠆ ⠀⠀⠀⠀⠀⣠⢾⠋⠉⡀⠀⠀⠉⠁⠁⠂⢸⡟⠀⠀ ⠀⠀⢀⣤⣺⣹⠀⢣⠀⠉⠑⠲⢄⡀⠀⠀⠀⢱⡀⠀ ⠀⣰⠋⠀⢱⣿⢆⠀⣱⣦⣠⣶⠊⠛⠑⠦⠤⠤⠇⠀ ⢠⡇⠀⠀⠀⢿⢸⠳⠿⢿⣻⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⣀⣀⣸⢸⡀⣀⡏⡇⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠈⣿⣿⡟⡄⠉⣳⡤⠤⠤⠷⡒⠒⡇⠀⠀⠀⠀⠀⠀ ⢀⡟⢿⡿⠷⠉⠀⣀⣠⠔⠚⠛⢨⡇⠀⠀⠀⠀⠀⠀ ⢸⡅⠀⠉⠒⠋⠉⠀⠈⠑⡖⠖⡋⢇⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣠⡇⢸⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡓⢸⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢟⣇⡼⠀⠀⠀⠀⠀⠀ ⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⠃⠒⢺⠋⠉⢹⠉⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⢸⠀⠀⢸⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡾⠀⠀⢸⠀⠀⢸⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡇⠀⠀⡞⠀⠀⣿⠀⢷⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⣹⠃⠀⢠⣿⣾⣿⣷⣶⣤⣄⡀⠀⠀⠀⠀ ⢠⣿⣿⣿⣿⣿⣷⣾⣟⠛⠻⠿⠿⠿⠿⠛⠀⠀⠀⠀ ⠀⠈⠉⠉⠛⠛⣛⡛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟨🟨⬛⬜⬜⬜⬛⬛🟨🟨⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟨🟨🟨🟨⬛⬜⬛🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛🟨🟨🟨🟨🟨🟨⬛🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛⬛⬜⬛🟦⬛🟨🟨🟨🟨⬛🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬛🟨🟨⬛🟦🟦🟦⬛🟨🟨⬛🟦⬛🟨🟨🟨🟨🟨🟨⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬛🟨🟨⬛🟦🟦🟦⬛⬛⬛🟦🟦🟦⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜ ⬜⬛🟨🟨⬛🟦🟦🟦⬛🟦⬛🟦🟦🟦⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜ ⬜⬜⬛🟨🟨⬛🟦🟦⬛⬛⬛🟦🟦🟦⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜ ⬜⬜⬛🟨🟨🟨⬛⬛⬛🟨⬛⬛🟦⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜ ⬛⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜ ⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜ ⬛🟨🟨🟨⬛⬛⬛⬛🟨🟨⬛⬛⬛⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜ ⬜⬛🟨⬛⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛⬛⬛⬜⬜ ⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜ ⬜⬜⬛⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛ ⬜⬜⬛⬜⬜⬛⬜⬛⬜⬜⬜⬜⬛⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜ ⬜⬜⬛⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜ ⬜⬜⬜⬛⬜⬛⬛🟨⬛⬜⬜⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🟨🟨🟨🟨⬛⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛🟨🟨⬛⬛⬛⬛🟨🟨🟨⬛⬛⬛🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬛🟨🟨🟨🟨🟨🟨⬛⬜⬜ ⬜⬜⬜⬜⬛🟨⬛⬛⬛⬛⬛🟨🟨🟨🟨🟨🟨⬛🟨🟨⬛🟨🟨🟨🟨🟨🟨⬛⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥⬛🟨🟨🟨🟨🟨🟨⬛⬛⬛🟨🟨🟨⬛⬛⬛⬛⬜⬜ ⬜⬜⬜⬜⬛🟥🟥⬛⬛🟥🟥⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟥⬛🟥🟥🟥🟥⬛🟨🟨🟨🟨🟨🟨🟨⬛🟨🟨🟨⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟥🟥⬛⬛⬛🟥⬛🟨🟨🟨🟨🟨🟨⬛🟦⬛⬛🟨⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥⬛⬜⬛⬛🟨🟨🟨⬛🟦⬛⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬛🟦🟦⬛⬛⬛🟦🟦⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢦⡼⢷⡴⣦⣠⣆⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠁⠀⠀⠈⠁⠙⠉⠷⢿⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢡⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢡⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠁⠈⠑⡄⠀⠀⠀⠀⠀⠀⠀⢰⢁⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⢸⠟⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⢀⠇⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡋⠈⠉⠣⣀⣀⡠⠃⠀⠀⠀⠀⠀⠀⡘⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⢲⡦⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠃⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣞⠀⠀⠀⠀⠀⠀⠀⠀⣘⣛⡽⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⠤⢤⣀⣀⣠⣤⠬⠷⡄⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⢾⡗⠢⡀⠀⠀⠀⠀⠀⠀⢹⡮⠦⠷⠃⠀⣀⣰⣄⣠⡔⠶⠶⣶⡤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠖⣿⠼⠿⠀⠘⢦⡀⠀⠀⠀⠀⠈⣓⣶⣠⣶⣋⠉⠉⠙⠻⣿⣷⣤⣸⡇⠀⠀⠈⠑⣢⣄⢀⣤⣄⣀⠀ ⢘⡿⢷⣾⡿⣋⠀⠀⠀⠙⠦⠤⠤⠤⢾⠉⠀⠀⠈⡏⠁⠀⠀⠀⠀⠙⢿⣿⣿⣤⣀⠀⠀⠈⠉⠻⠘⢉⣟⣀ ⢸⠓⣄⠈⠋⢹⠓⢦⡀⠀⠀⠀⠀⠀⢹⡄⠀⠠⠆⣠⡆⠀⠂⠀⠄⠀⡄⢀⣈⠙⣿⡿⣗⢦⡀⠀⠀⣡⠼⠛ ⢸⠀⡸⠀⠀⢸⠀⠀⠙⠦⣀⡀⠀⠀⠀⣻⣄⣠⢶⡟⠀⠀⣀⣅⣶⡶⠟⠛⠛⠛⠛⢿⣾⡇⠈⠙⠋⠀⠀⠀ ⢸⠊⠁⠀⠀⢸⠄⠀⠀⠀⠀⠈⠉⠉⠁⠀⠈⠀⠀⣿⢀⣴⣿⡿⠃⠀⠀⠀⠀⠀⠀⢸⣿⠂⠀⠀⠀⠀⠀⠀ ⠈⠓⠢⠤⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠸⣿⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⣀⣬⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠘⢿⣿⣿⣿⣿⣿⡿⠻⣶⣴⡶⠋⠁⢸⡟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⣰⠟⠛⠻⠿⠿⠁⠀⠙⠛⣧⡀⠀⠀⣹⢛⡽⠦⣤⣤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢧⣀⣀⣹⢧⠀⠀⠀⠀⠀⠀⠀⠀⠘⠧⣀⣰⠁⣾⢦⣴⠻⠉⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠢⠤⠤⠔⠚⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣹⠷⣴⡇⡇⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣞⣁⠀⠀⠀⢀⣀⡠⠼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢥⣀⡸⢣⠁⣰⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠤⢤⣀⣉⠥⠤⠴⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠓⠛⠈⠁⠀
.•♫•♬• 𝗬𝗚 𝗚𝗶𝗿𝗹𝗶𝗲𝘀 •♬•♫•.
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🇯 🇮 🇸 🇴 ೀ
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡿⠿⠿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠏⠀⠀⠀⣙⣿⣁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⠶⠦⠀⡐⠖⣻⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡏⠀⠀⢤⢁⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣀⠈⠉⠏⣾⣿⣿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⠀⠀⢁⠂⠈⢹⣿⣶⣶⣦⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⡀⠀⠁⠀⢠⣿⣿⣿⣿⣿⣿⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣧⠀⢀⣼⣤⡀⢠⣾⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⢀⣤⣶⣦⣴⣦⡄⠀ ⠀⠀⠀⢠⣿⣿⢋⣀⠀⡝⠀⡀ ⠀⠀⠀⡸⡟⠃⠈⠓⠛⠙⡵⠁ ⠀⡤⢪⣄⠡⣀⢁⠢⢄⡀⢐⠀ ⠸⠀⠀⡇⠂⢻⡿⠇⠀⠀⠀⠀ ⢠⣴⢖⠣⣄⡊⣧⢬⠀⠀⠀⠀ ⢸⠻⠗⠡⠄⠖⣈⡹⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⣇⡆⡇⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠸⢄⠇⠀⠀⠀ ⠘⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀ ⠀⣇⠀⣀⣀⣀⠠⠃⠀⠀⠀⠀ ⠀⢸⠀⡁⠀⡇⢸⠀⠀⠀⠀⠀ ⠀⡄⠀⡃⠀⡇⣠⠀⠀⠀⠀⠀ ⢀⣁⣰⣃⢸⣷⣿⣤⣤⡀⠀⠀ ⠘⠛⠻⢿⡿⠂⠉⠉⠉⠀⠀⠀
BLɅϽKPIИK IИ YOUR ɅREɅ
Blackpink biggest and best gg in the world 🤍ꫂ ၴႅၴ
JISOO🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰💚💚💚💚💚💚💚💚💚💚💚💚💚💚💚💚💚JISOO🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰💚💚💚💚💚💚💚💚💚💚💚💚💚💚💚💚💚JISOO🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰💚💚💚💚💚💚💚💚💚💚💚💚💚💚💚💚💚JISOO🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰💚💚💚💚💚💚💚💚💚💚💚💚💚💚💚💚💚JISOO🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰🐰💚💚💚💚💚💚💚💚💚💚💚💚💚💚💚💚💚
💗🖤ε(´。•᎑•`)っ 💕*ପ꒰⑅•ᴗ•。꒱໊੭*
BLɅϽKPIИKL.A.L.I.S.A 🖤ROSÉ💗🌹Jennie ♡ JisooBLIИK🖤🩷ﮩ٨ـﮩﮩ٨ـ♡ﮩ٨ـﮩﮩ٨ـ안녕하세요‧₊˚🖇️✩ ₊˚🎧⊹♡🦋⃟ᴠͥɪͣᴘͫ•𝆺𝅥🩷🖤‎‧₊˚✧[text]✧˚₊‧Saranghae💜✧˖°ʚ🍓ɞ♡🖤🩷BP૮₍ ˶ᵔ ᵕ ᵔ˶ ₎ა₊˚ʚ ᗢ₊˚✧ ゚.ε(´。•᎑•`)っ 💕♫₊˚.🎧 ✩。⋆。‧˚ʚ🍓ɞ˚‧。⋆꒒ ০ ⌵ ୧ ♡*ฅ^•ﻌ•^ฅ**ପ꒰⑅•ᴗ•。꒱໊੭*🍙♡ ‹𝟹㊗🎧"▶︎•၊၊||၊|။||||။၊|။•🫰🏼🇰🇷#blackpink
BLACKPINK ⚫💕 L.A.L.I.S.A 🖤 ROSÉ💗🌹 JISOO🫰🏻 JENNIE -`♡´- 🎤 🎧 ꒒ ০ ⌵ ୧ ♡ 🍜 🍣 🥢 🍚 🍙
⋆ ˚。⋆୨୧˚𝐥𝐢𝐬𝐚˚୨୧⋆。˚ ⋆<𝟑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣴⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠿⠛⠛⠿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠃⠀⠀⢀⣀⣌⣻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡗⣛⡁⢀⠠⠤⠧⠿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠉⠁⣇⣹⡀⠀⠀⢹⡿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣇⠀⢀⣝⣿⣦⠀⠀⢸⣽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡆⠀⠈⠋⠁⠀⣠⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡓⠂⠀⠀⠁⢀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⠅⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠐⢹⠙⠟⡿⠤⠤⠤⢀⠀⠀⠀⠀ ⠀⠖⢫⣵⣿⡿⡿⣻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀ ⠀⠀⢤⠇⡋⠚⠙⠑⣿⣿⣿⣿⣿⠉⠢⢀⡀⠀⣀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠀⠀ ⠀⠀⡸⢒⡡⠂⠆⠽⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠆⠀ ⠀⢀⠁⡇⠈⢢⠀⠀⠀⠙⠿⠿⠁⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠠⠁⠸⠀ ⠀⠎⠀⠡⠀⠀⢢⠀⠀⠀⠀⠀⠀⠐⠠⣤⡤⠤⠀⠠⡠⠒⠀⠀⠀⠀⠈⠀⠀⠀⠀⡆ ⠘⠦⢄⣀⠀⠀⠘⠀⠀⠀⢀⡴⠒⠢⡀⣿⡇⠀⢀⠞⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠸ ⠀⠀⠀⡿⠈⠉⠁⡄⠘⣳⣿⢳⣔⣢⡅⣿⣇⣴⣁⡀⢠⡤⣀⣤⡄⠀⡧⠤⠀⡖⠒⠉ ⠀⠀⠀⢸⠀⠀⠀⢃⠀⠀⠸⡎⠉⠁⡗⣿⡟⢿⣯⠃⠚⠓⠙⠉⠁⢠⠀⠀⢰⠀⠀⠀ ⠀⠀⠀⢸⣦⠀⠀⢸⠀⠀⠀⠈⠒⠊⠃⣿⡇⠈⢿⣷⡀⠀⠀⠀⠀⢸⠀⠀⡸⠀⠀⠀ ⠀⠀⠀⠀⣾⠀⠀⠀⡀⠀⠀⠀⠀⠠⠴⠿⠧⠀⠀⠻⠿⠄⠄⠀⠀⠈⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⡟⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣻⠀⠀⠀ ⠀⠀⠀⠀⣷⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣿⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡶⣤⢛⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⠙⢿⠈⣧⢔⣺⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠤⢯⡄⠀⠀⠀⠹⣯⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⣶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡖⠚⠳⠦⠦⢤⣤⡀⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣞⣉⣹⠓⠒⠶⠒⠲⠦⡈⠁⠀⢠⣴⣆⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⣯⣯⣭⣁⠈⠉⠉⠉⠒⠦⠀⠀⠀⢸⡌⠛⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡼⢋⠀⠀⠀⢀⠽⠋⠉⠉⠉⠱⢦⡀⠀⠀⢰⣿⡿⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⢾⠆⠀⢰⡏⠀⠀⠀⣤⡄⠀⠀⣷⡄⠀⣀⣬⣤⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣨⠗⠚⠋⠉⠙⢇⠀⠀⠀⠉⠀⠀⢀⠿⠀⡰⠋⡼⠋⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⣤⣀⠛⠦⢤⣤⡤⠖⠋⠀⠀⠀⢘⣻⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡤⠶⠶⠖⠋⠙⠲⠶⠒⠉⠁⠈⠉⠙⠲⠦⠤⣄⣀⠀⠀⠀⠀⠀⢸⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⢦⣀⣀⣄⡀⠀⢀⣤⣄⠀⢀⣤⣄⣀⡤⠻⣿⣯⡙⢳⡄⠳⠴⠋⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠁⠀⠉⠉⠻⣄⣨⠯⣕⣤⢾⣷⣶⣾⣿⣿⣿⡶⣷⡄⠀⢸⡆⣸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠛⢫⣤⣿⣿⣟⠉⠙⢉⡏⢸⡇⣀⣸⣟⠁⠘⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢦⣿⣯⡁⠀⠉⠉⠉⢹⡵⢋⣼⣿⣿⣾⣓⢶⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠤⠀⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠾⠛⠮⣟⠒⠲⠤⠤⠛⠛⢻⣿⣿⣿⣿⣿⠇⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⠁⠀⠀⣀⡀⢀⡕ ⠀⠀⠀⠀⠀⠀⢀⡴⠚⠁⠀⠀⠀⠀⠈⠳⢄⣀⣀⣀⣀⣼⠏⠛⠿⢧⠙⢆⠀⠀⠀⢱⡀⠀⢀⣤⠴⠶⠶⠞⠋⠀⠀⠀⠀⠮⠁⢀⣀⠀ ⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠈⢧⠀⠀⠈⢣⡀⠈⢧⣀⣀⣀⣠⠀⠀⠀⠀⠀⠀⢀⡀⠀⠈ ⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠸⡇⠀⠀⠰⣷⡴⠋⠉⢿⠳⣄⣀⣀⡄⠀⠀⠀⠰⡈⠀⠒ ⠀⠀⡴⠃⠀⠀⠀⢀⠀⠀⠀⠀⢀⡄⠀⣤⠤⠤⣤⡴⠚⠉⠉⣷⠀⠀⢸⠀⠀⣇⠀⠀⠀⠘⢧⡀⠀⠀⠳⣄⡙⠦⢄⣀⡴⢆⠀⠈⠢⡄ ⢀⡾⠁⠀⠀⠀⠀⠙⢤⣤⣄⣴⣿⣀⣴⡷⣄⠀⠈⡇⣠⠴⠚⠁⠀⠀⣿⠀⠀⢸⠀⠀⠀⠀⠀⠑⢦⡀⠀⠈⠉⠉⠉⡟⠀⠈⠓⠤⠴⠃ ⢸⠁⠀⠀⠀⠀⠀⠀⠀⢀⡜⢁⡿⡅⠈⠳⡈⠙⠛⢿⡁⠀⠀⠀⠀⠀⣿⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⣰⠞⠁⠀⠀⠀⠀⠀⠀ ⢾⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⢸⠀⠙⢦⣤⠟⠀⠀⠀⣇⣀⡀⠀⠀⠀⢿⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠹⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣀⠀⠀⠀⠀⠀⠀⠀⢿⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠉⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠻⣄⠀⠀⠀⠀⠀⠀⠈⢧⡀⠳⣄⡀⢀⡠⢧⣤⠴⠒⠲⢤⡷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠓⠲⠶⠶⣶⡤⠤⠽⠋⠐⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⣡⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣈⠙⠢⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠒⢉⡤⠞⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⠉⠓⠦⣌⣉⡒⠶⠦⠤⠄⣀⣀⡠⠤⠤⠴⠶⠒⠋⣉⣠⠴⠚⠁⠠⠞⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠈⠉⠑⠒⠒⠲⠦⠤⠤⣤⡤⠤⠒⠚⠉⠁⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣆⣀⣀⣀⡤⠴⠛⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡟⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠛⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⢸⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠈⠉⠉⠒⠒⠶⠤⠤⢄⣀⣠⠴⢻⡗⠀⠀⠀⠀⡴⢿⣄⡀⠀⠀⠀⠀⣀⡴⠚⠁⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⢠⡏⠀⠀⠀⠀⠀⢻⡄⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⢀⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠿⢦⣀⣀⣀⠀⠀⢀⡠⠖⠋⠉⠁⠈⠉⠙⢧⡀⠀⠀⢀⡤⢺⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⢹⡂⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⣏⠀⠘⠀⠀⠈⠉⢉⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⢠⠎⠀⠘⠦⠤⠤⠤⠤⠤⠤⠤⢶⠚⠁⢀⣴⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠷⣭⣝⡒⠲⠤⢤⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⣠⣊⣩⡭⠝⢲⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⡒⢤⠤⠤⣄⣀⣀⣀⣀⣀⣀⡤⠤⠴⠚⠋⠀⠀⠙⠓⠦⠤⣄⣀⣀⣀⡀⡀⣀⣀⣀⡤⠤⡔⡛⠛⠁⠀⠀⠀⠀
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ROSÉ LISΛLΛ LISΛ 𝖩EИИIE JISOO BLΛƆKPIИK
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠴⠒⠉⠁⠀⠀⠉⠉⠛⠻⢴⡚⠉⠉⢑⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⡊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣶⠋⠁⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡸⢡⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠗⣀⡀⢸⡷⠤⣄⡀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠉⢁⡾⣄⠀⠀⠙⣦⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⡆⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣰⠋⣀⡼⠓⣶⣄⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢳⡘⡄⠀⠀⠀⠀⠀⠀⠀⠀⣀⡄⠀⠹⡄⠹⣇⠹⢇⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡟⢺⡤⣤⣤⡤⠤⠖⠶⠋⡝⠀⠀⠀⠹⣄⡼⢾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢳⣦⡴⠃⠀⠑⠦⠤⠤⠊⠁⠀⠀⠀⠀⠉⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠟⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡰⠁⠈⢁⣼⠃⠀⠀⠀⠀⠀⠀⣀⡤⣾⡟⠁⠀⠙⢿⣿⡖⢦⣀⠀⠀⠀⠀⠀⠀⠀ ⢰⠁⢀⡴⢻⡀⠀⠀⢀⣀⣤⣖⣿⡿⠛⠁⠀⠀⠀⠀⠈⢻⡟⡆⠻⡟⢦⡀⠀⠀⠀⠀ ⠘⠟⠉⠀⠈⠉⠉⠙⠛⠛⠋⠁⠉⠉⠑⣤⡀⠀⠀⠀⠀⢸⠇⣿⠀⢻⡄⠱⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⢻⠓⢦⠤⡔⠋⠀⣿⠀⠈⣷⠀⢻⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣇⢸⣆⣇⠀⣿⣄⣴⠇⣠⡴⠋⠀⠀⢷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠏⢹⡇⢈⢿⡅⠀⣸⡈⢻⣤⡀⠀⠀⠈⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⡄⠀⣇⢸⠸⡇⢀⠟⠁⣰⠏⣇⠀⠀⠀⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡴⣒⠒⣲⣶⠛⠒⠿⣄⢹⡇⠀⢧⡾⠄⢠⠏⠀⣿⠀⠀⠀⠈⡇ ⠀⠀⠀⠀⠀⠀⠀⡸⠦⠿⣯⠿⠾⠿⣷⡄⢻⡌⣇⠀⡼⠀⣠⠏⠀⠀⣿⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠸⣀⣲⣛⢻⣿⣿⣶⡄⠀⠘⣷⣼⣴⠁⣴⠋⠀⠀⠀⣿⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⢰⠋⢁⡬⠿⣥⣤⣬⡉⠀⠀⠹⡟⠿⣾⠧⠤⠤⠶⠚⠋⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠈⠣⡀⠀⠀⣼⠃⣽⠿⣆⠀⢀⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⠧⠴⠿⠛⠉⢹⣿⣤⣤⣿⣤⣤⣤⣤⣤⣤⣴⣶⣋⣸⡇
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⣿⣽⣿⣿⣿⣿⣿⢿⣟⣯⣻⡽⣯⣟⡼⡵⢆⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣉⢚⡰⣸⡆⢍⢣⣑⠲⣶⣂⢌⡰⢄⠣⡌⢭⡙⠧⣩⢑⢻⠆⣻⠃⡕⢪⡱⢭⢣⣍⠻⣜⢧⣏⡼⣣⣯⡝⢮⡽⣟⢯⢯⡽⣭⣛⣾⣹⢏⡽⣻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣯⣿⣾⣿⡿⣽⡾⢏⠟⣾⣋⣖⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢌⡻⡔⠰⣣⣎⢦⡿⣣⢿⣭⠂⡙⣌⢢⠱⣦⠹⣇⠦⡌⣜⡣⣍⠳⡜⣥⢓⣿⠲⣌⢯⡝⣞⡼⣻⢷⣭⢾⣿⣽⣯⣟⡾⣽⣻⣾⣵⣏⡾⣳⢹⣿⣿⣿⣿⣿⣿⣿⣳⢿⣽⢯⣟⣿⢿⡟⣿⣿⣾⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣟⣾⡿⣽⣿⣯⣿⣾⣟⣯⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣟⣛⣾⣛⣼⣯⣜⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢰⣎⡡⣍⠳⢰⣿⢎⣿⣿⡾⣽⣿⣷⣮⣖⣹⡦⣽⣹⣲⣽⡦⣝⣦⢹⣽⣬⣋⣾⣟⣼⣫⣿⣾⣽⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣷⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣷⣫⣿⣿⣟⡿⣿⠼⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⢷⡿⠿⠿⢿⣟⣾⡷⣟⡾⣿⢿⣿ ⣿⣿⣿⣯⣿⣿⣿⢻⣷⣿⣻⣿⢿⣻⣼⣧⣻⡽⣳⢦⣀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⡟⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⣳⣿⣯⣿⢯⣿⢿⡻⣯⣿⣿⣿⣿⣿⣿⣿⠟⡉⢂⢉⣢⣿⡿⣙⡉⠛⠤⡀⠉⠛⢯⣿⣽⣻⣿ ⣿⣟⣿⣿⣷⢏⡾⣿⣽⣻⣷⣿⡿⣯⡷⢿⣻⣽⢷⡪⣍⡷⡀⠠⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⢸⣿⣿⣿⣿⣷⣿⣿⣻⢿⡿⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣷⣾⣿⡿⣿⣿⣿⣟⡷⣻⣿⣿⢸⡿⣽⣷⣿⣾⣿⣧⣿⣿⣿⣿⣿⣿⣿⠟⡠⢂⡡⠄⢲⣿⡟⠬⠌⠈⠂⠀⠀⡐⠀⠀⢻⣾⣿⣿ ⣷⣿⣿⣷⡃⣾⣹⠿⡿⢻⡽⣿⣿⢷⣿⣏⢿⣞⣧⢻⣐⠻⣝⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣽⡽⣷⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣣⡟⡜⢯⢿⣯⣿⣟⣿⡿⣿⣿⡻⣿⣿⣿⣿⠃⢦⠑⢂⠀⠔⣫⡷⢍⠂⠀⠀⠀⠀⠳⣄⠀⡂⠈⢟⣿⣿ ⣿⣿⣽⠇⣰⠥⠁⠛⠽⠹⡯⢛⠸⡏⢧⠛⣄⠻⣎⢧⠣⣙⠄⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠆⣿⢿⡿⣯⣿⣿⣯⣿⢿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣞⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⣻⠸⣿⣯⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⢃⠌⠢⡉⠄⣠⠞⠁⠘⠀⠄⠀⠀⠀⠐⣂⠈⠳⣙⡄⠈⢿⣿ ⣿⣿⡿⢂⣿⢀⡂⣀⠠⣀⢀⡴⣄⣽⣞⣦⣽⣳⣽⣮⢗⢮⠘⡆⣿⡄⢀⠀⠀⠀⠀⠀⠀⠀⣈⠩⢐⣯⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠄⠂⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣾⣿⣿⣿⣿⣿⠿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⢧⣿⣯⣻⣿⢿⣿⣿⣿⣿⣟⣿⡟⠠⠎⣵⠁⡼⠁⠀⠀⠀⠀⠀⠀⠀⠘⢥⣄⠣⢪⡙⣾⡄⠌⣿ ⣿⣿⣆⣿⣻⣹⣟⡮⢙⢳⢧⢟⣛⣿⠝⢮⢟⢛⣴⣿⢫⡞⣇⢳⡼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⣯⣾⣿⣿⣿⣿⣿⣿⡿⠟⠋⠜⠉⠻⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠄⠀⠀⡀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢿⣿⣿⣿⣿⣿⢿⣿⠟⠀⠀⠐⠀⠉⢻⣿⣻⣻⣿⣿⣿⣿⢺⣿⣿⣿⣿⣯⣿⣿⣿⣿⢷⣿⣳⡱⠨⡇⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣣⠼⣼⣿⣆⢹ ⢿⣿⢣⣿⣿⣷⢳⣭⣔⣯⡍⠀⠈⢰⠁⢡⣶⠛⠉⢱⣷⠙⣯⠘⣷⢻⠀⠐⠀⢠⠀⡖⠀⠀⠀⠀⢠⢳⣿⣿⣿⣿⢿⣿⡏⠀⠀⠀⠀⠀⠀⠈⣿⣧⢹⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣾⣿⡟⡎⠀⠀⠀⠀⠀⠀⠀⢹⣵⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⢰⣧⣤⠀⠀⠀⢠⣤⣶⡞⠓⠒⠂⠀⠀⢻⡌⠁⢻⣷⡌ ⣿⣿⠸⡗⣿⣾⠛⠭⠿⠓⠀⠀⠀⠀⠉⠀⠀⠀⠀⠈⣥⢙⢸⠣⣿⠞⢬⡁⠖⡈⠴⠁⠒⠀⢀⡠⠄⣿⣻⣿⣿⢺⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡆⠛⣿⣿⣿⣿⣿⣿⠀⠀⠀⡇⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣟⣿⣿⣿⣿⣿⣻⠃⠀⠀⠀⠀⠀⠀⠀⢀⢿⣼⣽⣿⣿⣿⣿⣿⣿⣿⣿⢾⣽⣿⣿⣿⣿⣿⣿⣗⡿⢸⣿⣟⡛⣀⠀⠀⢩⡶⣶⣶⡶⠖⠀⠀⠈⠀⠃⢸⡟⡆ ⣿⣿⠰⢩⣽⣻⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣊⠔⣃⢿⡸⢦⠙⡜⢰⠋⠰⠡⠀⠀⠂⢤⣿⣿⣿⣯⣿⡿⠇⠀⠀⠀⠀⠀⠀⣀⣠⠤⠼⣷⡈⠘⣿⡿⢯⣷⣿⡅⠀⠀⠐⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣿⣿⣿⣿⣿⣟⣤⣄⣀⠀⠀⠴⠌⢋⣉⣹⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⣿⣿⣿⣿⣟⣯⡇⢻⣿⠿⠿⢩⡇⠀⠈⠛⠛⠉⠀⠀⠀⠀⠀⠐⠉⣸⡇⣏ ⣿⡟⣲⣻⣿⣿⣆⠀⠀⠀⠠⠐⠀⠑⠀⠀⠀⠀⠀⢐⣿⠇⠆⡣⢞⣛⡦⢹⡰⡂⠘⢂⡰⠁⢠⢈⢸⣭⡿⣿⠾⢾⣿⡏⡁⢸⠃⢦⠀⠈⢨⣴⣧⡼⣿⡇⠀⢻⡗⣆⣿⣿⡇⠀⠀⠀⠀⠀⠀⠦⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⣷⣶⣠⣤⢠⠀⠀⢾⡏⠟⠿⣿⣿⣿⣿⢿⣿⣿⣷⣿⣿⢛⢿⣿⣿⣿⣿⡷⣿⣿⡁⢽⡀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣦⣾⣿⢧⠘ ⣿⣿⣳⢿⣽⡿⢿⣄⠀⠀⡄⣀⢀⠐⠠⠄⠀⠀⠀⣾⣿⠃⠅⣑⣻⡜⣧⠁⠄⢱⣚⠂⡂⠀⠀⠠⢾⣿⣯⣾⣿⣯⣿⠤⣤⠦⠙⠰⠂⠀⠀⠈⠉⠀⠈⡻⢠⢹⠖⣩⣿⣿⣧⠀⠀⠀⠀⡀⠀⠀⠆⠀⠀⠀⠀⠀⡾⣿⣟⣿⣭⣿⣿⣿⢵⡿⠁⠋⠁⢸⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡷⣿⣿⡄⢻⡄⠀⠀⢿⣤⠠⠄⠀⠀⠀⠀⠀⠀⠀⣼⣿⢫⣿⢬⢣ ⣿⣿⣏⡿⢞⣿⣻⣿⣦⡀⠐⠠⠴⠄⠃⠀⠀⢀⣴⡿⣾⠀⡔⠢⣭⠻⡼⡌⡝⡠⣍⠀⠄⡀⠡⢀⣿⣿⣿⣾⣳⣻⣯⡐⠀⠂⠀⢠⡆⠀⠀⠀⠀⠀⠀⢼⡇⢺⣥⣿⣿⣿⣾⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣵⣿⣿⣿⣷⡃⠀⠀⠀⡺⠀⢀⡀⠀⠀⠀⣸⣯⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡇⣿⣿⣧⠘⣿⡀⠀⣀⣦⢴⣄⣀⣀⠀⠀⠀⠀⣰⢃⡯⣼⣿⡞⡴ ⣿⡳⣞⡝⣛⢷⡿⢿⢿⣿⣦⡄⡀⢀⣀⣠⠴⣿⣿⣞⣿⠀⡆⠑⣯⡿⣱⢃⠼⡕⢺⣠⠥⠌⡡⢄⢿⣿⣿⣿⣆⣽⣺⣯⡄⠀⠀⠻⠴⡄⠆⠂⠀⠀⠀⢸⣟⣾⣷⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣾⣿⠷⢣⠀⠀⠀⠉⢉⠁⠀⠀⠀⣰⣿⣿⣯⣟⣿⣿⣿⣿⡿⣟⣿⣿⣿⣿⡷⣿⢣⡿⣿⡙⡆⢹⣿⣄⠙⢿⣸⣽⠞⠁⠀⠀⢀⠴⠁⠀⣿⣞⣿⡿⣜ ⣯⣳⢣⡇⢟⣽⣿⣻⣯⢿⣷⠈⠁⠉⠉⠁⢠⣷⣹⣻⢿⡃⠄⡱⢳⣽⡒⣯⠘⡭⢏⡴⣂⢒⠱⣎⣿⣿⣷⣷⣿⡿⠿⣿⣧⡀⠀⠀⢠⡤⣤⣠⡄⠀⠀⣼⣷⣿⣿⢿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣯⣿⣿⣞⣷⣧⡀⠰⣞⠄⢢⣼⡝⣰⣺⣗⢃⡂⠙⣿⣿⣿⢿⣿⣿⡿⣿⣿⣿⣽⣿⢸⣿⢿⡀⣷⠸⣻⣿⣗⡄⠀⠀⠀⠀⣀⠴⠋⠀⠀⠀⢹⣿⣿⣿⣿ ⣷⣩⡷⢿⣣⢿⡳⢿⡇⣿⣿⣦⠀⠀⠀⠀⠈⢱⣿⡿⢹⣇⠂⡱⡙⣮⣵⢣⡃⢽⠦⣙⣤⣫⠴⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡠⠀⠉⠳⠘⠖⠈⠀⢠⣿⡧⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠿⣿⣿⣿⣻⣿⡟⣿⣿⣷⣄⠈⠀⠉⢁⣺⣿⠋⠋⣿⣇⣀⣹⣿⣿⢸⣿⣿⣾⣿⣿⣿⣿⣾⢸⣻⣿⢤⢸⠀⣿⣿⣿⣿⠷⠶⠖⠊⠁⠀⠀⠀⠀⠀⢸⡛⠿⣿⣿ ⠿⣷⣏⡿⣃⡞⣿⢺⣏⣽⣿⣿⡀⠀⠀⠀⠀⢘⣯⣿⢌⠿⡀⠣⣜⢹⠾⣭⣳⢎⣿⢟⡾⣽⣳⣿⣿⣿⣯⣿⣿⣿⣿⣟⣿⣿⣿⠱⢠⣀⣀⣀⣠⠴⠫⢿⢃⣿⣿⣿⣿⣿⣿⣿⡟⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣯⣹⣿⣿⣿⢻⢶⣾⡿⣩⣴⣾⣿⣿⣿⣿⣿⣿⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣼⣟⡫⣱⢸⠀⣹⣿⣾⣟⠣⣀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⢀⠞ ⣤⡿⣥⣏⠽⡅⣿⢹⡯⣼⢿⣿⣷⡀⠀⠀⠀⢸⣿⣿⡞⣸⢧⠱⣜⡎⢿⢳⡽⣾⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠂⠈⠉⠉⠀⠀⠀⡟⠠⢾⣿⣿⣿⣿⣿⣿⣷⣌⣢⣤⡤⣤⣠⣄⡀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡷⡦⢹⣿⡼⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠈⣿⣿⣿⣿⣷⣿⣯⣿⣯⡷⡿⣸⡆⡇⢹⣿⣿⣿⣇⠠⢀⣀⣀⣠⢤⣖⡿⠥⠀⠀⠀⠈⠀ ⢻⡽⣷⣻⡆⣿⢸⣟⣇⢻⡞⢯⢹⣗⠀⠀⠀⣼⣿⣿⣿⣐⠻⣇⡹⡜⠸⡗⣎⣿⣿⣿⣿⣿⣿⣿⡯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣽⣿⣻⣿⣻⣿⠟⠿⣿⣶⡶⠿⠿⣿⣿⣿⣿⣿⣿⣿⣧⡷⡄⠻⣿⡲⣜⣻⣿⠼⢻⣿⣿⣿⣿⣿⣿⣷⡖⠒⠿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡿⢼⠂⠇⣸⠛⠟⠋⣹⣿⢿⣿⣷⡾⠋⠀⠀⠀⠀⠀⡘⠀⠀ ⣹⣟⣷⣹⣷⣹⡏⣾⣯⢼⣿⢪⢹⣿⡆⠀⢠⣟⠿⠮⣿⣎⠹⡝⢶⣏⠰⣙⢾⣽⣿⣿⡿⢫⣿⣿⢿⣷⣿⣿⣽⣿⣿⣿⣿⣿⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣙⣽⣷⣿⣿⣶⣷⠀⠻⡷⠟⣭⡕⡀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣧⠀⢻⣷⣼⠏⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⠯⡛⡵⢬⣿⡍⣻⢿⣿⣿⣿⣯⡇⣿⠀⢂⣿⣋⠐⡀⠈⠋⠑⠏⠀⠀⠀⠀⠀⠀⠀⡰⠀⠄⠁ ⣿⣞⡷⣯⢿⣷⢻⣿⡷⣾⣩⣻⡿⣿⣿⣶⣾⣿⣷⣌⣀⣾⣆⡹⢸⣿⠠⣏⡿⣾⣿⣿⢷⣿⣻⣿⣿⡾⢲⢍⣿⣿⣿⣿⣿⣿⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣭⡴⣾⣿⣟⡿⠳⡀⠀⠀⠀⠀⠀⠉⠉⠀⣦⣞⡡⠁⢻⡙⠉⠁⠉⢆⠈⡟⠁⠀⣠⡓⣏⣿⣿⣿⣿⣿⣿⣿⡿⠁⠜⣞⢡⣶⡟⠀⠆⣼⢛⣿⡇⣿⡃⡄⡛⠤⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠂⠀⠀ ⣿⢾⡽⣯⣿⣾⣟⣾⡽⢯⣿⡽⣤⣀⣿⣿⣄⠉⠻⠿⢿⣿⣿⣳⢣⣿⠜⣽⣻⣿⣿⣯⣝⡏⡿⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣟⣰⣟⣻⣿⣿⡟⠀⢈⣃⡀⢶⠨⣧⠠⡄⠀⢹⣿⣧⠶⠰⡇⠁⠀⠀⠨⠊⠀⠀⣴⠿⡴⢃⠿⡿⠟⠛⠉⠉⠉⠧⠀⡰⠁⠤⡁⠀⢀⠀⣬⢾⣿⣟⣿⣧⠄⡑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣴⣆⠉⡀ ⣯⢿⡽⣿⣻⣽⣯⣷⣟⣷⣾⣯⢩⣽⡿⣿⣿⣶⣄⡤⣡⣿⣿⣿⠼⣿⡩⣾⣿⣿⣿⣧⢟⠁⣿⠃⢩⢿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣼⢭⣿⣿⣿⡇⡤⠤⣉⠋⣧⠦⢿⡎⣣⠀⠪⠓⠁⡰⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⢈⡜⣹⡆⠀⠀⠀⢀⡜⢤⢣⠆⣠⣌⢁⠗⠀⠘⣿⡿⠋⠻⣿⠆⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠈⠙⠛⠻ ⣛⢶⣹⣿⣟⣿⣽⣟⣯⣿⣿⣿⣿⣿⡇⠸⠛⢿⣟⣿⣿⣿⣿⡿⡽⣾⡱⣿⣿⣿⣿⣽⡸⠀⡟⠀⣸⣾⣷⠟⢻⡙⠿⣿⡟⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⡿⣿⣿⡇⢤⣀⠨⢕⢄⠑⢅⠿⡟⠀⠀⣴⡞⡻⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠙⠣⠀⠀⢠⡾⠲⠁⠙⣄⢿⠇⠉⠀⠄⠒⡮⠒⠚⠙⡾⣎⣤⡤⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀ ⡹⢾⣹⣯⣟⡿⣷⣿⣿⣿⣿⣏⢽⣿⣿⣶⡾⣿⣿⣿⣿⣿⣿⣏⣟⣿⢸⣿⣿⣿⣿⡟⡇⢸⡇⢠⡷⣿⡿⣿⡞⣻⣶⠻⣿⣷⣾⣿⣿⣿⠻⠿⣖⣶⣶⣲⣶⣶⣶⡶⣾⣿⣿⣿⣿⣿⣿⡃⢸⡿⣧⠐⠈⡮⡊⠫⣡⠀⠂⢉⡑⠢⡀⠈⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⢠⡟⢒⡶⣾⣓⡂⠑⠄⠠⣔⣃⣮⣿⠴⣫⣶⣶⣼⡏⠀⠀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⡇⣾⢷⣯⢟⡯⣟⣾⣿⣿⣌⢺⣿⣟⣩⣿⣿⣿⣿⣿⣿⣿⣧⢿⣻⡽⡟⣿⣿⣿⢹⡇⣸⠁⢸⢸⣿⣯⠟⢯⣜⣀⣿⣿⣿⣻⣿⣛⣿⣿⣿⣾⣫⣿⣧⣖⣼⡿⢿⣿⣿⣿⣿⣿⣿⣿⠃⣼⣿⠟⠁⢀⡗⠃⠀⠈⢦⡀⠘⠆⣀⡕⠂⡊⠶⣤⣀⣀⠀⣸⡀⠀⠀⢀⣀⣴⣻⣧⢞⣠⣥⣐⠬⠙⣧⠀⠹⠦⣼⠿⠃⠀⣸⣿⣿⣾⡇⢻⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣱⢹⣟⣾⣻⢾⣹⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣴⣻⢭⣿⢿⣿⣿⣿⡽⢺⡇⣿⠀⢼⢸⣿⣹⡶⠟⢓⣤⣾⣿⣿⣿⣦⣴⣯⣹⣿⣿⣷⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⢀⣶⣀⣤⡼⠛⠤⡢⡴⡛⠀⠈⢢⡀⢀⠀⠀⠈⢦⣔⡛⢂⠀⠿⡏⠉⢽⠿⡟⢻⣹⢏⣿⣿⣿⣿⣷⡄⠸⣇⠐⢧⠹⢷⣄⢄⠙⠺⠿⣯⠀⣸⠀⠘⢶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⢟⣼⡧⣟⡿⣸⣼⣿⣿⣿⣿⣿⠘⠛⠻⠛⠻⢿⣿⣧⣻⣿⣿⣧⣼⣿⣿⣿⣧⡟⣿⡇⣿⠀⡿⢸⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣻⢧⣿⣿⣜⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠿⠟⢃⢀⡄⠀⡿⠿⣿⠿⠇⣠⡟⠛⠘⢠⣀⠀⠿⣿⠃⢀⡇⢻⠀⢻⣤⣿⣿⠟⡘⡿⣿⣿⣿⡟⡇⠀⢛⡄⠀⣿⣤⢛⢻⡛⠄⠀⠧⢼⡿⡄⠀⠀⠣⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡟⣼⡾⣽⣳⣳⡞⣮⣿⣿⣿⣿⡻⠆⠀⠀⠀⢹⠸⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⠃⣿⠀⣻⣹⣿⣯⣤⣿⣿⣿⣿⣿⠻⢛⣿⣿⣿⣳⢛⡾⢟⣳⣾⣭⡟⣽⣿⣿⣆⡸⢿⣿⣿⣿⠀⢶⢞⣛⢿⣀⠀⠀⠀⣽⡶⣬⠁⠘⡆⠀⠻⠒⡆⠀⣀⠤⢸⣶⠌⡇⢀⢻⡿⢯⣄⠦⢉⡻⠭⠽⠚⠀⢀⣼⣿⠀⠈⠉⠈⠉⢻⣚⢣⡄⣤⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣹⢮⣟⡽⣷⣿⢻⣿⣿⣿⣿⣿⡏⠙⠒⠦⠜⠉⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣏⣾⡿⢸⡏⠃⣹⣼⣿⣿⣽⣿⣿⣿⢟⣅⡰⣾⣿⣿⣟⡻⣿⣷⣶⣶⣾⣷⣾⣶⣿⣿⣿⡗⢻⣿⣿⣿⡰⡞⠞⢿⣧⣉⠀⠀⠀⢿⢾⡿⣧⢀⣹⢴⣀⡴⠴⠎⡀⠀⣾⡏⢀⣷⠀⡷⢾⡹⡛⢾⢷⡆⠀⠀⠀⠐⠌⠙⠛⢇⠀⠀⠀⢀⣤⣻⣶⣩⠥⠐⡄⠀⠀⠀⠖⠋⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣯⢻⡾⣽⣻⣯⣹⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣥⢦⡿⣿⣿⣿⣽⣿⣿⣟⠞⣄⠴⠿⣿⣿⣿⡧⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠛⣿⣿⣿⣏⡃⠄⠀⡷⢡⡶⠀⠄⠈⠓⠻⠓⠋⠉⢺⣟⠀⢢⡀⠀⠀⣿⣓⣫⣤⠐⣰⠺⠡⠩⡍⠉⣀⡀⣄⠠⠀⠂⠔⠀⠘⠃⠘⣿⢆⣢⣭⡇⡻⢬⢹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣠ ⣧⡿⣽⡏⣿⣿⣿⣿⣿⣿⣿⣿⣧⡠⡄⠀⠀⠂⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⣼⣇⣿⣿⠉⢹⣿⣿⣿⣶⡀⠀⠄⣿⣿⣿⣿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣢⣼⣿⣿⣿⡆⣵⣮⣡⡽⠳⢦⢀⢯⡷⢀⣀⡠⠀⠢⠌⠁⠘⠺⢿⣇⡖⢻⣵⢻⣿⠐⣯⣤⣻⢴⡇⠀⣙⡛⢀⡴⢒⠂⠀⢁⠀⠀⣰⣾⢸⣷⢤⡿⢦⢀⢿⢧⡀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠐⢽ ⠫⠔⡉⠄⣉⢹⢿⣿⣿⣿⣿⣿⣿⣛⣿⣾⣿⣾⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣶⣽⣿⣿⣿⠀⠈⣿⣿⣿⣿⣿⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣅⣨⠥⠶⠒⠒⠚⠀⠈⢁⠀⢀⣮⡤⣤⣄⠀⠀⠀⣿⣶⣧⣿⣿⣿⠀⠘⢯⣿⠑⢾⡌⢁⣐⣻⠏⠠⠀⠄⢡⠀⠁⠀⣹⣮⢛⣫⠵⣫⣾⣿⣶⣧⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⡑⠌⡐⠄⠀⡐⢾⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⡿⡍⢩⣿⣿⡿⢿⣿⢿⡿⣿⣿⠿⠶⣿⣿⣿⣿⣿⣿⣿⣿⢗⠩⢀⡀⣴⠆⣤⣄⠀⠀⠀⢿⣿⢾⣤⣥⡟⢿⡀⢸⠀⣴⣠⢿⡿⣿⣇⢠⢰⣾⣿⣦⣬⢿⣶⢌⣽⢃⡈⢤⠹⢷⠀⡀⠀⠉⠁⣈⣤⣶⣿⢿⡡⠃⠤⠐⡈⠄⠉⠉⠉⠙⠒⠲⠤⠄⣀⠀⠀⠀⣾ ⡔⡡⢂⠄⢠⣉⢾⣻⣿⣿⣿⣿⡃⠜⡀⠀⠀⡀⢂⠜⡢⣝⣿⣿⣿⣿⢿⠛⠛⠛⠛⠿⣿⣿⣿⣿⣿⣯⠀⠀⣿⣿⣿⢋⡷⠽⣿⣿⣿⣧⣼⡥⠾⢿⣼⡇⠀⠀⢻⣿⣿⣿⡿⣿⣿⣿⣿⡇⢸⣿⣴⣧⡝⢫⡄⠀⠀⢤⠀⢾⣕⣊⣿⡸⡟⠊⣧⠸⣯⣮⡛⣛⡿⢿⣿⡤⣍⠻⠍⡈⡁⢼⣈⡠⠥⠀⠀⠀⠐⠂⢡⣴⣿⣿⣿⣿⡟⢆⠡⡘⠄⡃⠔⡈⠠⠀⠀⠀⠀⠀⠄⠠⠀⡌⢰⣿⠏ ⡜⡡⢌⠀⠄⡘⣾⢧⣿⣿⣿⣿⡱⡘⠠⠐⠠⡐⢢⢊⠵⣩⢿⣿⣿⣿⣿⣷⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣋⡶⠺⢻⣿⣿⣇⣼⣉⡴⠋⠁⠘⣤⢼⣿⣿⣿⡿⣟⣿⣿⣿⣿⣿⢰⡛⣧⣎⣿⢐⡛⠀⠀⠈⣴⣬⠙⠛⡉⢿⣿⠀⢿⡆⠻⠛⢃⠛⣻⣿⣭⣥⠙⠷⣔⡀⡐⠈⠁⢀⡶⢤⣶⡶⢈⣤⣿⣀⣨⣿⣿⣿⡹⡌⢆⠱⡈⠔⡨⠐⠀⠀⠀⠀⣀⣈⣐⣤⣥⣴⣼⡏⠄ ⣳⡱⡎⢀⠂⡝⡾⣧⣿⣿⣿⣿⡥⡙⠤⢁⠂⡑⢢⢍⣲⣩⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡒⢸⣿⣿⣉⣹⣾⠷⠀⡤⠞⢹⡋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣷⡏⣭⣍⡿⡿⠂⠐⡀⠈⣉⢀⠛⠋⢀⣀⣤⢚⡷⠿⠛⣛⡉⠛⡿⠿⢻⠿⣿⣮⣽⣧⣤⣤⣿⣳⣮⣽⣶⣿⣿⣿⢿⣿⣿⣿⣷⣣⣝⣬⣳⣬⣦⣵⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⡌
⢡⢊⡐⢄⠢⡐⡐⢢⠑⡌⢆⠳⡌⢧⡹⣌⢧⡹⣌⠧⡹⣌⢧⡹⢜⡣⢏⡜⣣⢛⡜⣣⠻⡜⣭⢯⡹⢧⡻⡽⣭⢻⡝⣯⡻⣝⣯⠿⣽⣻⢟⡿⣻⣟⢿⣛⣿⣻⣟⡿⣟⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢂⠰⠈⡄⢣⠐⣡⠃⢭⡘⣌⢣⡙⢦⢓⡜⢆⡳⢌⡳⡑⡎⢦⡙⡬⢱⡩⢜⡡⢏⡼⢱⢫⠵⣚⠶⣙⢧⡝⣳⢭⣳⠻⣼⡹⣝⢮⡻⣵⢫⣯⢽⡳⣏⣯⢻⣼⢳⡽⣻⣽⣻⢷⣟⣿⣳⡿⣾⣻⣽⣿⣻⣿ ⠈⢆⠱⢈⠆⡱⢠⢉⠆⢲⡈⢦⡙⢆⡫⢜⡜⢢⡍⢲⢡⡙⢦⡑⢎⡱⡘⠦⣙⢆⣧⣯⣾⣷⣿⣾⣽⣶⣹⡵⣪⣵⣛⣶⣙⣮⣳⡝⢮⡳⣝⢮⢷⡹⣎⠿⣜⢯⡽⣳⣏⣷⣻⢾⣽⣳⢿⣻⡽⣷⣻⣽⢿ ⠩⡐⢌⠢⡘⢡⢂⠣⢌⢣⠘⠆⡜⡡⢞⡡⢎⡱⢌⠣⢆⡹⠰⡘⢢⣱⣼⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⡎⢯⡞⣵⢫⡟⣼⢣⡟⣵⢾⡱⢯⣛⡾⡽⣯⢷⣻⢷⣯⣟⣯ ⠐⡡⢂⠱⢈⠖⣈⠆⡣⠜⣈⠓⡬⢑⠦⡑⢎⡰⡉⢆⠣⠔⢣⣩⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣘⡎⢷⡹⣎⢷⡹⣎⢷⣫⢟⣭⢟⡽⣞⣯⢯⢿⡼⣽⣞ ⠁⢆⡁⢎⠰⢨⠐⡘⢄⠣⢌⡱⠰⡉⢆⡉⠦⡑⠬⢌⡱⢩⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣟⡬⢳⡹⢎⡷⣹⢎⡷⢫⡞⣭⢟⡾⣜⢯⣳⢟⡧⣟ ⠌⢂⠰⢈⠆⡡⢊⠅⡊⠔⢢⠐⡱⢈⠆⡘⠔⡡⢎⢒⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡡⢏⡝⢶⣙⢮⡵⣫⢞⡽⢎⡷⣭⢻⡜⣯⢽⣫ ⠈⠔⢂⠡⡘⢠⠁⢎⠰⡉⢆⡑⢢⠁⡎⡑⠸⡐⢬⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⢟⠻⢛⠩⢉⠐⡈⢂⠱⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡫⣜⢣⢞⣱⢺⡱⢏⣞⡹⣜⢧⢯⡝⣮⣳⢭ ⠌⡘⡀⠆⠱⠠⣉⠢⢁⠒⡄⢢⠁⢎⡐⢡⠣⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡉⢌⠣⠘⡀⠂⠄⢂⠠⠀⠀⠀⠂⠉⠠⠙⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣎⠳⣎⡜⣣⠽⣩⠶⣹⢎⢯⢞⡹⢶⡹⣞ ⡀⠣⠠⠘⡃⢃⠠⢄⠃⡜⢠⠃⡜⠠⡘⢄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡄⠸⡀⠄⠃⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⡜⣸⢃⡿⣃⠿⣣⡜⣟⡼⣻⢇⡿⣸ ⢀⠃⠥⠑⡈⢆⠒⡠⠡⠘⡄⢃⠌⡑⢌⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣍⠚⡄⠃⠄⡈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠄⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡸⢥⣋⠶⣍⡳⡵⡹⢶⡹⣥⢻⣜⡳ ⢂⠩⡐⢡⠘⡄⢊⠤⢁⠣⡐⠌⡰⢁⢊⣽⣿⣿⣿⣿⣿⣿⣿⣿⠿⡱⢀⠣⠠⠑⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢈⠻⢿⣿⣿⣿⣿⣿⣿⣿⡕⣣⢎⡳⢥⡳⢭⡝⣣⢟⡼⢳⢮⡝ ⠄⢣⠘⡄⠣⢌⠢⡘⠤⡁⠔⢡⠂⡅⣺⣿⣿⣿⣿⣿⣿⣿⣿⢏⡓⢄⠃⠂⢅⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⡀⠂⢿⣿⣿⣿⣿⣿⣿⡷⡑⢮⢱⢣⡝⡲⣭⢓⡮⣝⠽⣪⡝ ⢌⠢⡑⢨⠑⢢⠑⡠⢃⠜⡨⠐⡌⣰⣿⣿⣿⣿⣿⣿⣿⣿⢏⡒⢌⣂⡡⣈⣀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⣄⠠⢀⠡⠌⢿⣿⣿⣿⣿⣿⣿⢩⠖⡭⢲⣍⠳⡥⣏⠶⣍⢯⣓⢞ ⢄⠒⡡⢂⠍⡢⠑⡄⢃⠢⣁⠱⣀⣿⣿⣿⣿⣿⣿⣿⣿⣏⢶⣹⣶⡟⠷⠛⠾⠩⡝⢻⢆⠢⢀⠀⠀⠀⠀⠀⠀⠠⡐⢚⠻⠹⠆⡟⠋⠿⣻⣦⠘⡸⣿⣿⣿⣿⣿⣿⡧⢚⠥⡳⣌⠻⡴⣩⠞⣬⣓⢮⡝ ⢌⢢⠑⡌⢢⢡⠃⡜⢠⠃⡔⢂⢴⣿⣿⣿⣿⣿⣿⣿⣿⡘⠾⢋⠥⡘⣀⠃⠄⠁⠀⢂⠈⡐⢁⠂⡀⠀⠀⠀⠀⢁⠐⡀⢂⡐⠠⢄⠙⡀⠄⡙⢷⡱⢿⣿⣿⣿⣿⣿⣷⡉⠶⣑⢎⡳⣱⢣⡛⡴⢭⠶⣹ ⢌⢢⠱⡘⣄⠣⡘⢄⠣⡘⢄⢃⣾⣿⣿⣿⣿⣿⣿⣿⠧⡘⢥⢃⢶⣱⣶⣯⣮⣵⣘⡤⣘⡰⣉⢆⠡⠀⠀⠀⢀⢢⣰⣼⣯⣷⣳⣬⣖⣭⣂⠇⢢⢓⣿⣿⣿⣿⣿⣿⣿⢸⢡⠇⢮⡱⢥⢣⠽⣘⠧⣏⡳ ⢌⢢⠱⡘⡄⢣⡑⣊⠴⡁⠎⣼⣿⣿⣿⣿⣿⣿⣿⣿⢣⢉⠲⣿⣿⣿⣟⢻⣿⣿⣿⣻⣷⡵⣭⢎⡱⠀⠄⠐⠠⠢⣽⣿⣿⣿⣿⡟⣿⣿⣿⡟⢆⡣⣾⣿⣿⣿⣿⣿⣿⡇⢎⡹⢆⢧⢋⣎⢳⣍⠻⣴⢫ ⢌⢆⢣⠱⣌⠣⡔⡡⢆⡙⡜⣼⣿⣿⣿⣾⣿⣿⣿⣿⠅⡊⠔⠡⣉⠒⠌⠓⢋⡙⠤⢋⡍⢶⢣⡞⣥⠃⠌⡠⢁⠣⡉⢝⠻⡝⡫⡝⡜⣫⠟⣜⠣⣵⢻⣿⣿⣿⣿⣿⣿⣎⢣⡓⣎⢎⡳⣌⡳⢬⣛⢖⣫ ⢪⠜⢢⠓⡬⠱⣌⠱⣌⠲⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⡐⡈⠐⡀⠈⠐⠈⡀⠐⡌⢖⡺⣭⢳⡝⢦⢉⠰⢁⠆⡱⡘⣄⠣⢆⠱⣈⠴⢁⠫⣌⢳⣹⢿⣿⣿⡿⣻⣿⣿⡇⢧⡹⣘⢮⡱⢎⡵⣓⠮⣝⡲ ⡌⢎⠥⣋⠴⡓⣌⠓⡬⢱⣸⣿⣿⣿⣿⡿⣿⣿⣿⣿⡄⡑⢠⠃⠄⠡⢀⠡⡐⠡⢎⡱⢣⢯⣻⢞⡱⠊⠄⡃⢎⡱⢐⠢⠍⣆⠳⢄⠊⡄⢓⢬⠲⡝⣾⣿⣷⣶⣳⣿⣿⣯⢒⡵⣩⢖⡹⢎⠶⣍⡳⢎⠷ ⡜⣡⠞⡤⢣⡕⣌⠳⣌⢣⣾⣿⣿⣿⣿⣿⣽⣿⣿⣿⡦⡑⠢⢌⢂⡁⢂⡐⠌⡑⢢⣉⢿⣿⢫⡼⣬⣁⠦⣜⡠⢓⡣⢍⡒⢌⠲⢌⡑⢌⡱⢊⡳⢽⣿⣿⣿⡝⣾⣿⣿⣧⠓⡶⢱⢎⡵⣋⢗⠮⣝⣭⣛ ⡜⢢⡝⣰⠣⣜⠢⡝⡤⣛⣷⣿⣿⣿⣿⣿⣞⡿⣿⣿⣷⡉⢖⡈⢆⡘⠄⡐⢂⠌⠤⢈⢻⣯⣿⣿⣷⣾⡹⢿⡿⣡⠳⡌⡜⢬⠘⡆⡜⢢⠱⣍⢞⣻⣿⡿⣛⣯⣿⣿⣿⣧⢛⡜⣣⠞⡴⢭⡺⣙⢮⡖⣭ ⡜⢣⠜⣢⠝⡴⢋⡴⢃⠧⣿⣿⣿⣿⣿⣿⣿⡵⣿⡽⣿⡘⣄⢃⠆⡰⢁⠒⣈⠐⢂⡉⢦⠹⣍⢳⡰⢩⢇⠣⡙⠥⢃⡜⠰⢊⡱⣘⢌⡣⣝⡸⣾⢿⣷⠸⣯⣿⣿⣿⣿⣿⡸⡜⣥⢛⡼⣣⠽⡭⢶⡹⣖ ⣜⠣⣝⢢⡛⡴⣋⠼⣩⢾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡔⡌⠦⡘⢄⠣⡘⢠⠘⠤⡑⢮⣝⣮⢯⣵⣛⣮⢳⣭⢂⠇⢬⡑⢣⠒⡥⢎⡒⢦⡱⢎⣷⣾⣿⣿⣿⣿⣿⣿⣿⣱⣙⢦⡛⣴⢣⢟⡹⣎⠷⣭ ⣬⠳⣌⢧⢳⡱⣍⢞⡱⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⡩⢂⠱⡈⢆⠑⢢⢉⠖⣭⣷⣾⣿⣿⣿⣯⣿⣿⣾⣯⣜⢦⡙⢦⡙⠴⣣⢙⢦⡙⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢞⡲⣝⡲⡝⣮⢳⣭⣛⠶ ⠶⡹⣜⢪⡕⡲⣍⠮⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡜⣡⠃⡜⢠⠊⡄⢃⠞⣻⣿⣿⣿⣷⣬⣿⣼⢿⣿⡿⣿⣿⢏⠦⡙⠦⢥⢋⠶⣙⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⡞⣱⢎⡳⡽⣜⡳⢮⡝⣯ ⣽⢱⡎⢳⡜⢳⣬⢳⡞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠋⡔⢡⠒⡌⡜⡌⢳⣽⣯⡟⣾⣧⣿⡟⣮⣷⡏⣷⠘⣮⢱⢹⡌⣧⡎⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢹⢣⣯⣵⠋⣶⢹⣧⠛⣶ ⢧⣳⢚⡧⣝⠮⡵⢮⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣚⢵⡃⣎⡱⢡⠛⣦⢓⢾⡻⢿⢻⠟⣿⠻⢷⡛⡴⣋⢦⡙⢦⠳⣌⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⠯⣞⢲⡭⣞⣭⢳⡞⣽⣚ ⢧⣳⢫⡜⣮⣝⠺⣵⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡽⢶⣩⢧⡛⡴⣋⠶⣙⢎⢦⡙⡤⢋⠖⣱⠱⣎⠶⣙⣎⣷⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢿⡸⢧⣛⠶⣭⡳⡽⢮⡽ ⣛⢶⣫⢞⡵⣎⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⡿⣿⣾⣮⡽⣱⡝⣎⢷⣪⢮⢵⣩⢇⡻⣔⢫⣜⣷⡿⣞⡳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⢧⣛⢧⣏⡟⡶⣽⣹⡳⣽ ⡽⣎⢷⣫⢞⡼⣾⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠾⣽⣳⢯⣟⣿⣷⣿⣾⣳⣽⣮⣷⣣⣿⣼⡾⡿⢾⣭⢳⡣⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣮⡝⡾⣼⣹⢳⢧⢷⣻⢵ ⡽⣎⠷⣎⠿⣜⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣵⢯⣟⣾⣳⡟⣿⢿⣿⡿⣿⣻⢟⣯⠳⡽⣹⠳⣌⢧⢹⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢶⣹⡳⢧⢯⣻⠾⣽⣺⢯ ⣟⡭⣟⣭⡟⣽⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡹⢧⡟⣞⡶⣯⡽⣏⢿⡼⣹⢇⡻⡜⣎⢳⡱⣃⡛⡌⡎⡕⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡷⣽⢫⣟⣳⣟⡷⣯⣟ ⡿⣼⣛⣶⢻⡵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣫⢷⡹⢮⢷⣣⠿⣼⣫⢞⡵⢫⠵⡹⢌⡳⢒⡥⠹⡔⡹⣸⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣝⣳⣟⡾⣳⣟⣾⣳⢯ ⡿⣵⣻⢮⣟⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⢏⡾⣙⢯⡞⣭⢻⢶⡹⢮⣙⢧⠫⣕⢣⠎⡵⣈⠳⣌⠱⣌⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣳⢾⣽⣳⣟⣮⣟⡿ ⣿⣳⣯⣟⡾⣽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣳⢯⡳⢯⢶⡹⢮⡟⣮⣝⡧⡝⢦⡛⢤⡓⢎⠴⡡⢓⡌⠳⣌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣯⣟⡾⣷⣻⢾⣽⣻
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