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