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