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