Furrycubshotafutafutanarinsfwnaked Nude Pornographic Porn Pornography Emojis & Text

Copy & Paste Furrycubshotafutafutanarinsfwnaked Nude Pornographic Porn Pornography Emojis & Symbols ⣿⣟⡿⣭⣚⢥⡳⣌⡳⡜⠁⠀⡄⢠⡻⣝⢯⡙⢮⠕⡎⠔⢀⠚⣬⠣⣏⠳⣭⣛⣯⣟⣿⣻⢿⡿⣿⡿⣿⢿⣟⣯⣛⣽⡻⣿⢿⡿⣿⡿

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

Related Text & Emojis

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢶⣿⢃⣠⣴⣶⣶⣿⣛⢯⣹⣾⠁⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣻⣾⣿⣞⣯⣷⣽⣾⣿⣁⣀⣠⢤⡶⣶⠿⣻⣶⣟⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣟⣯⣿⣶⣯⣿⣿⣿⡁⠀⣴⠿⣟⣿⣟⣿⣻⢷⢯⣞⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢈⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⢒⣖⣲⡶⢶⡖⣶⣒⢶⡲⣞⣫⠭⣭⣭⣽⣭⣯⣽⣿⣿⣿⣿⣿⣿⣿⠿⢿⡿⠿⠿⠿⣌⠿⢿⣿⣿⣿⣿⡾⣽⢯⣟⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠘⡀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣯⣛⢧⣛⢧⣛⡶⣹⣎⢷⣝⡮⣟⢷⡾⣹⢯⡟⠉⠉⠛⢿⣿⣿⣯⣟⣿⣫⣽⡿⣃⣔⣬⣿⣷⣯⣿⣿⣿⣿⣽⣻⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣟⡾⣭⡟⣾⣹⢗⣾⣫⢾⡽⣽⢾⡽⢯⡟⠀⠀⠀⢀⢈⣿⣿⣿⣿⣿⠿⢻⣷⣼⣿⣿⣟⣿⣟⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠐⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣷⣿⣷⣯⣟⡾⣽⣳⢿⡽⣾⡽⡟⠀⠀⢀⣰⠞⠟⠙⢻⣷⣿⣸⣷⣾⣟⣺⣽⣟⣻⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣷⣯⣿⣽⣳⢿⠃⠀⠀⢀⠀⢠⣤⣦⣄⣇⠉⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣿⣿⣿⣿⣉⠉⠉⠻⠀⠀⠠⢀⣾⢿⠋⢁⣿⣿⠀⠀⠀⠀⣿⣧⠙⢿⣹⣏⢠⣛⠟⠁⠀⠀⢀⣴⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣓⣈⣰⣦⣤⣀⣼⠋⠀⠀⢭⣽⣿⡇⠀⣀⣀⣿⣿⡇⡸⣿⣿⡤⠉⠒⠤⣀⠀⠠⡄⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⠏⠀⠛⣞⣧⣾⠍⠢⣀⠀⠈⠻⠟⣇⢉⣡⡶⣭⠯⡀⠐⠛⠙⢇⠀⠐⢲⠏⠀⠀⠈⠲⠞⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⢀⠄⠂⢸⠛⠁⣠⣲⡆⢔⠾⠋⠀⠈⠢⣉⠀⢀⣀⣈⡆⠀⠀⢸⣀⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠤⣌⡁⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡿⠀⠀⣜⣩⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣛⡉⠀⠀⠓⢄⡀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⡹⠋⠀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠐⠒⠚⣿⣶⠦⣄⣀⡀⠘⠿⠽⠶⢾⣷⣀⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⡀⣀⣀⣠⡿⠍⣛⠻⡿⠿⣟⣲⣶⣶⡶⠿⣿⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠼⠛⢻⠿⠻⢿⣿⣷⣿⣶⣆⠬⡯⣑⣿⣿⣿⣿⣹⣍⣧⣾⠈⠉⠉⠒⠒⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠁⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠐⠒⠠⣔⠁⠀⠉⣿⣿⣿⢛⡖⠾⠿⢿⡿⠿⣾⠟⠁⠀⠀⠀⠀⠀⠸⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡅⠀⠀⠀⠀⠀⠀⠀⠉⠒⠄⠘⢿⣿⠇⠈⠁⠒⠺⣤⣢⡼⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠣⡀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠹⡄⠐⠒⠠⠤⠀⣀⠀⠀⠀⠀⠈⣏⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⣄⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠘⣆⠀⠀⠀⠀⠀⠉⠑⠢⡀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠈⢣⡀⠠⢄⣀⠀⠀⠀⢠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠧⣀⣀⠀⢀⡤⠋⠀⠀⠀⠀⠈⢁⠒⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⢀⣠⢾⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠈⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⣻⡿⠏⠀⠀⠀⠐⠢⠄⢀⡀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⠖⠋⣁⡼⣇⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⡀⢀⡎⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡔⠍⠀⠀⠈⠢⣀⠀⠀⠀⡰⢠⡇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⡴⠋⠁⠁⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢧⠄⠂⡄⠀⠀⠀⠀⠁⠢⢴⣁⡼⠀⠀⠀⠈⠑⠂⠀⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⣀⠤⠖⠉⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⢠⠀⠀⠀⠑⠤⡀⠀⠀⡐⠁⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠈⢆⠀⠀⠀⠀⠀⢑⠞⠤⣠⣇⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡠⠤⢤⢤⠴⠃⠀⡀⠔⠊⠀⠠⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠀⠀⠀⠣⡀⠀⠀⡤⠃⠠⣼⠃⢳⠈⠉⠉⣍⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⡜⢸⢀⡔⠉⠀⢀⡠⢔⠊⠉⠻⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡦⡀⠀⠀⠈⠑⠺⠤⣴⠟⠃⠀⠸⡆⠐⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⢀⠃⢸⡃⣇⠀⡰⠟⠂⠁⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠈⠺⠦⣄⣠⠤⠴⠊⠉⠀⠀⠀⡼⠁⠀⠐⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠀⢸⠀⢸⣇⠞⠉⠀⠀⠀⠀⢀⡠⠐⠀⠈⢣⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢿⣁⠀⠈⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⢀⠀⠀⠰⠀⢸⠹⡄⠀⠀⢀⡠⠒⠁⠀⠀⠀⡠⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢜⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠈⠉⠓⠦⠄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡯⠀⠀⠀⣆⣼⡆⢙⣤⡐⠁⠀⠀⠀⡠⠔⠉⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢾⠁⠉⠢⢄⡀⠀⠀⠀⠀⠈⠉⠁⠐⠒⠒⠒⠒⠒⠚⠓⠀⠈⠉⠀⠀⢧⠀⠘⢷⣀⡠⠔⠉⠀⠀⠀⠀⢀⠠⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠚⡱⠁⠀⠀⠀⠀⠈⠁⠒⠠⠤⢀⣀⣀⢀⠀⡀⢀⢀⡀⠀⠀⣀⡠⠔⠒⠂⠙⣆⠀⠀⠙⣦⠀⠀⠀⢀⠄⠊⠁⠀⠀⡀⠘⣄⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⢡⠊⠀⠀⠀⠀⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠰⡄⠀⠹⡄⠀⠀⠀⠳⡄⠐⠁⠀⠀⢀⠔⠉⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠋⡔⠁⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠹⡄⠀⠀⠀⠈⢷⣀⡠⠚⠁⠀⠀⢀⠄⠢⡀⠣⣀⠀⠀⠀⢀⣀⣤⣤⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢁⠎⠀⠀⠀⠀⠀⠀⠀⠀⢰⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣹⡄⠀⠀⠀⠀⠀⠀⠀⡇⡆⠀⠀⢳⠀⠀⠀⠀⠈⠙⢵⠀⠀⢀⠕⢁⠖⡠⠁⠀⠉⡖⠚⠉⠩⢿⡟⣿⣭⣷⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡘⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⢡⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⡎⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⣜⢣⠀⠀⠀⠀⠀⠀⠀⢹⠸⡀⠀⠐⢇⠀⠀⠀⠀⠀⠀⠑⢶⡁⠀⢸⡔⠁⠀⢠⠃⢁⠀⠀⠀⠒⣿⡽⣶⢾⣿⣷⣄⠀ ⠀⠀⠀⠀⠀⠀⢰⠇⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢣⠇⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⢠⠇⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⠀⠀⠀⠀⠀⠀⠀⠸⠀⡇⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠘⢿⣦⣾⠀⠀⠀⡇⠀⢸⠀⠀⠀⠀⢸⣿⣷⣿⡿⣿⣿⣧ ⠀⠀⠀⠀⠀⠀⢎⠀⠀⠀⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⡌⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⠀⠀⠄⠀⠀⠀⠀⡇⢸⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠹⣴⠀⠀⡜⠀⠀⢘⣲⣄⣀⣈⣸⠿⢿⣯⣿⣽⣞⣿ ⠀⠀⠀⠀⠀⠀⠀⢣⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⡸⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡸⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⡇⠀⠀⠀⠀⠀⠀⠀⢸⠈⡇⠀⠀⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠸⠓⣜⠂⠀⣴⣿⣿⣷⣾⣯⣿⣦⠈⠉⠛⠻⠞⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣄⡇⢜⡀⠤⣀⠀⠀⠀⠀⠀⠀⠀⡇⢓⠨⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⣇⠀⠀⠀⠀⠀⠀⠀⠈⡆⢥⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠨⠀⠀⠓⢦⢿⣿⣿⣾⣷⣿⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⣀⠈⠑⠀⠦⠤⠄⠀⠀⠀⠀⣇⣽⠀⠀⠄⠀⠀⠀⠀⠀⠀⠒⠈⢸⠂⡏⠀⠠⠀⠀⠀⠀⠐⠀⠇⢸⠄⣀⣀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⣶⠤⠤⠤⠤⠤⠶⠖⠛⠉⠲⠤⣄⣀⣀⣀⢀⣀⣀⣤⣤⣼⣿⣧⣈⠉⠐⠒⠂⠀⠀⠀⢸⡻⠦⠤⣤⠤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡀⠀⢠⣀⣤⠴⠖⠛⠋⠉⠉⠉⣩⡥⠬⠥⣬⣉⣹⡏⠉⠉⠉⠉⠉⠉⠒⠒⠒⠚⠿⠥⢤⣀⡀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⡗⠚⠉⣀⠠⠤⠒⠒⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠉⠉⠉⠉⠁⠉⠁⠀⠀⠀⠒⠤⢩⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠉⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠛⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠠⡟⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠘⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⢸⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⢨⡇⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⢈⡰⢯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡇⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠋⠀⢀⣸⣄⠇⠈⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⢸⢧⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⠔⠁⠊⠁⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡄⠀⣠⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⢠⡤⠖⠋⠁⠀⠀⠠⢀⡿⠉⠙⠢⠤⠀⣉⠒⠤⣀⠀⠀⠀⠀⠀⠀⡿⢸⡀⠀⠀⠀⠀⠀⡀⠠⢖⠍⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣤⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠓⠋⠀⠀⠀⡀⠤⠀⠂⣠⠞⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠁⠀⠀⠀⠀⢠⠇⣈⣇⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢀⠠⠂⠀⡄⠹⡀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠋⠀⠀⠀⠀⠀⠈⢀⠀⠠⠐⡴⢡⠂⠁⠂⠤⣤⣀⠀⠀⠀⠈⠢⠀⠀⠀⠀⠀⡼⠀⣼⢹⡀⠀⠀⠀⠀⢀⡠⠤⠏⠁⠀⠀⠀⠀⠀⣰⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠋⠀⠀⠀⠀⠀⠀⡀⠁⠀⠂⠀⠄⡜⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⠲⡄⠤⠀⢠⡼⠁⢀⡟⠀⣧⠐⠒⠒⠽⠋⠁⠀⠀⠀⠀⡠⠤⠎⠁⠁⠀⠸⡀⠀⠀⠀⡀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠄⠀⡀⠁⢀⠂⡸⠀⠀⠈⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⢀⡾⠁⣾⣸⠁⠀⡟⡆⠀⠀⡠⠖⠒⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⢀⠝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠐⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠉⠓⠢⢤⣀⢠⣃⣀⢀⡞⢁⡼⠛⠃⠀⣱⠁⢻⠈⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠀⡇⠀⠀⡠⠋⠈⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣎⣠⡶⠗⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠁⠠⠈⢰⡇⠉⠂⢄⡀⠀⠀⠀⠀⠀⠀⠀⢁⠂⠀⢀⡟⠠⠞⠀⠠⡄⣱⠃⠀⠈⣇⣀⣀⡤⠆⠂⠂⠂⠂⠒⠉⠁⠁⠀⠀⠀⡇⢀⠎⠀⠀⠀⠀⠀⠁⠀⢠⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢚⣷⡾⠁⠀⠀⠀⠀⠀⠀⢀⠀⠀⠁⠠⠈⠀⠄⢸⣇⠀⠀⠀⠀⠁⠂⠠⢀⠀⠀⠀⠎⠀⢀⡞⠀⠠⠀⠂⣽⣻⠃⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡠⠚⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⢾⣿⠇⠀⠀⠀⠀⠀⠀⢀⠀⠀⠈⠀⠄⠐⠀⠠⢸⠁⠑⠤⢀⣀⠀⠀⠀⠀⠀⠀⠉⠀⢀⡏⠀⠐⠀⣡⢾⡟⠁⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⠀⣀⡤⠔⠋⠉⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠃⣯⢾⠀⢀⣴⡟⠀⠀⠀⠀⡀⠈⠀⠄⠀⠂⠈⢀⢸⠀⠀⠀⠀⠀⠀⠁⠑⠢⣀⡀⠀⢠⠟⠀⣈⣤⠞⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⢳⠐⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⢀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⠃⠀⣷⣿⣴⣟⡿⠁⠀⠀⣀⣁⠀⠀⠐⠀⡈⠀⢁⠀⣼⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣎⣠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⢀⣀⣀⡀⠤⠂⠁⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠃⠀⠀⠉⢁⣼⡿⢶⣞⡿⣿⣿⡏⠀⠈⡀⠐⠀⢈⠀⣼⢹⠦⠀⠁⠂⠤⣀⠀⠀⠀⠀⠀⡾⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣏⠁⠉⠉⠀⠀⠀⠀⠀⠀⠀⣸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡞⠀⠀⠀⠀⠞⠛⠛⠉⢁⣿⡿⣿⠁⣀⡐⢂⠄⢈⡆⢠⠇⣼⠀⠀⠀⠀⠀⠀⠀⠉⠐⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⣀⡤⠄⠊⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣼⡟⠁⢃⣤⣿⣷⠋⠐⣿⠈⠁⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡒⠋⠉⠉⠉⠁⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⢋⣿⢁⣴⣾⣿⣿⣟⣠⠟⡏⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⢀⡀⠠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠘⣯⣼⣿⠟⣿⣿⠟⠁⣸⠁⠒⠠⢀⡀⠀⠠⠈⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⡧⠖⠒⠒⠁⠉⠁⠀⠀⢻⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣧⠀⣴⡇⠀⢰⠀⠀⠀⢀⠀⡜⠀⠀⠹⡏⢁⣴⠛⠁⠀⢠⠇⠀⠀⠀⠀⠀⠜⠁⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣧⢹⣒⣒⠶⠶⢦⡤⠝⠛⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⠞⢠⡁⠀⢷⠀⠀⢀⠎⠸⠀⠀⠀⢀⣴⠋⠁⠀⠀⢀⠏⠈⠉⠀⠀⢀⣀⠀⠤⠐⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠸⡇⠀⠈⠆⢀⠇⠀⠁⠀⣼⢠⡞⡁⠀⠀⠀⢀⠏⠀⠀⠀⠚⠛⠂⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣀⠀⠀⢀⣀⣀⣀⣀⠠⠄⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⡄⠀⠈⠚⠂⠀⠀⣴⣿⡎⠀⠀⠀⠀⠀⡞⠀⠀⠐⠒⠐⠀⠀⠀⠀⠈⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠀⠀⠈⢳⠀⠀⠀⠀⢀⠀⠀⠤⠄⠒⠂⠨⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠢⢤⣀⡀⢳⢀⣀⣠⠤⠤⠤⠤⠬⡇⠒⠈⠉⠀⠀⠀⠀⠀⠀⢀⠀⠘⣆⢀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠤⠂⠈⠙⠁⡀⠄⢂⠐⡀⠆⠐⣻⠀⠀⢀⡀⠄⠐⠂⠉⢀⣀⣀⣠⣼⣦⣤⣂⠐⠐⡈⠐⢂⠁⠒⠠⢁⠂⠌⢉⠑⢦⠀⣠⠤⠴⠾⢲⠶⠶⠤⠤⢤⣀⣀⠒⠀⠤⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠳⠤⣌⣌⣠⠁⡐⠈⠄⢂⠐⡈⠄⣹⡖⠀⣀⣠⣦⣶⣿⣿⣭⣽⣶⣷⣽⣶⣬⣭⡳⣥⠀⠡⠀⠌⠠⢁⠂⠌⡀⠂⠌⢀⣾⣥⣶⣶⣿⣿⢿⡿⣿⣿⣿⣿⣮⣽⣿⣶⣄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠌⠐⡀⢂⠐⠠⢈⣷⣿⣿⣿⣟⡿⣽⣻⣿⣟⡷⣯⣟⣿⣿⣟⣿⣿⠇⠠⢁⠈⡐⠠⠈⠄⠠⢁⠂⣼⣿⣯⣷⣻⣿⣽⢯⣟⣷⣿⣟⣾⣽⣻⣟⡿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⣌⡐⢀⠂⡈⠐⡀⠻⣿⣿⣿⣾⣿⣿⣽⣯⣿⣟⣷⣿⣾⣿⣿⣿⡿⠀⡁⠂⡐⠠⠁⠌⠠⠁⠂⠄⡈⢿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣾⣷⣿⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⠒⠃⠐⠤⠀⠙⠛⠿⠿⣿⣿⣿⣿⠿⠿⠟⠛⢋⠉⡀⠄⢂⠐⠠⠐⠠⠁⠌⠠⠁⠌⠠⠐⡀⠈⠉⠛⠛⠟⠻⠟⠟⠻⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠒⠐⠒⠂⠂⠂⠑⠀⠃⠈⠀⠃⠈⠀⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢸⠂⠀⠀⠀⠘⣧⠀⠀⣟⠛⠲⢤⡀⠀⠀⣰⠏⠀⠀⠀⠀⠀⢹⡀ ⠀⡿⠀⠀⠀⠀⠀⠈⢷⡀⢻⡀⠀⠀⠙⢦⣰⠏⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⢀⣻⠞⠛⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠛⠓⠒⠓⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀ ⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⢀⡟⠀ ⠀⠘⣇⠀⠘⣿⠋⢹⠛⣿⡇⠀⠀⠀⠀⣿⣿⡇⠀⢳⠉⠀⣠⡾⠁⠀ ⣦⣤⣽⣆⢀⡇⠀⢸⡇⣾⡇⠀⠀⠀⠀⣿⣿⡷⠀⢸⡇⠐⠛⠛⣿⠀ ⠹⣦⠀⠀⠸⡇⠀⠸⣿⡿⠁⢀⡀⠀⠀⠿⠿⠃⠀⢸⠇⠀⢀⡾⠁⠀ ⠀⠈⡿⢠⢶⣡⡄⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⣴⣧⠆⠀⢻⡄⠀⠀ ⠀⢸⠃⠀⠘⠉⠀⠀⠀⠠⣄⡴⠲⠶⠴⠃⠀⠀⠀⠉⡀⠀⠀⢻⡄⠀ ⠀⠘⠒⠒⠻⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠞⠛⠒⠛⠋⠁⠀ ⠀⠀⠀⠀⠀⠀⠸⣟⠓⠒⠂⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⣹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⢸⠇⢸⠀⡿⡟⡷⡇⠀⢠⣾⣉⣅⣿⣈⣧⡀⠀⢹⡇⠀⠀⠀⢸⣿⣿⣆⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⢸⠀⣼⠀⢿⡇⡇⣧⠀⠸⣿⡍⢩⢿⠈⠉⢻⡝⢻⡇⠀⠀⠀⢸⣿⣿⣿⡜⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⢸⡄⣿⡴⢿⡇⣷⣿⣦⠀⢿⡇⣸⠀⠀⠀⠀⠙⣾⡇⠀⠀⢰⢸⣿⡿⡇⣧⢹⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⢫⠘⡇⣿⡇⢸⡧⢹⣿⣯⢊⣿⣇⠋⢀⣀⣀⣀⣀⣺⡁⠀⠀⣼⢸⣿⡇⢷⢸⡎⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⠘⡆⢿⢯⣷⡌⠛⢸⡏⢿⠳⣇⠉⠐⠋⣿⣿⣿⣿⣯⢻⡇⢀⡟⣼⡇⡇⢸⢸⣷⢻⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣹⣆⣧⠸⣧⣼⢿⣿⣿⣯⠈⣰⡏⠳⠄⠠⠿⠿⠟⠚⡅⣾⠀⣸⣇⣿⢻⡇⢸⢸⣿⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠸⡏⡜⡆⠹⡟⢾⣿⠿⡯⠀⢻⠁⠀⠀⠀⠀⠀⢀⣼⢱⠇⢀⣿⠙⣿⢸⡇⣾⢸⡿⢿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡇⡜⣷⢻⠹⡄⡹⡄⠑⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⣼⡏⢀⡿⣸⡇⣿⢸⣧⢸⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⡇⢻⡘⣇⠹⣎⠻⣲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⣇⣾⣿⣧⣿⠁⣿⢠⡟⠸⡿⠈⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⡇⢸⣧⢿⣶⠿⣦⢮⠉⠃⠀⠀⠀⠀⠀⠀⠀⠘⢁⣾⣿⣿⣿⣿⡟⠀⣿⢸⣷⢰⡇⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⣿⡌⣿⣿⣿⣥⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⢀⡴⣿⡟⣿⡿⣿⣿⠃⢰⣿⣿⣹⢸⡇⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⡇⢻⣷⣿⠿⣿⣿⣾⣿⣿⣿⣿⣿⠲⣤⡤⠞⠉⠞⠉⠰⣿⣣⣿⣿⠀⢸⣿⡏⣿⣸⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣧⢸⣿⣿⠀⣹⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⠘⠀⣿⣿⢹⣿⡏⠀⢰⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⠸⣿⣿⣼⣿⣿⣿⣿⡿⠿⠋⠀⠀⠙⠒⠒⠒⠛⢀⡴⠀⠈⠛⠷⣦⣿⣯⣿⣿⠃⠀⣼⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠜⠃⠉⠉⠁⠉⠉⠁⠀⠀⠀⣀⣀⡐⡄⠀⠀⠀⢠⣏⡤⠴⠖⠂⠀⠀⠀⠀⠀⠈⠈⠳⣻⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢤⣤⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⡄⠀⠀⠀⠀ ⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⢹⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠔⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⡀⠀⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⣀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣼⠀⠀⠀⠀ ⠀⢀⠞⠀⠀⣠⠶⠚⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀ ⢀⡟⠀⢠⠞⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀ ⢸⠀⠀⡿⠀⠷⠃⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⢤⡀⠀⠈⢧⠀ ⢸⠀⠀⠛⠀⠀⠀⠀⠘⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⢹⡄⠀⢸⠀ ⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢡⡀⠀⢠⡇⠀⢈⡇ ⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⢸⠃ ⠀⠀⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡟⠁⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡤⠚⠁⠀⢀⡞⠀ ⠀⠀⠀⡷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⣡⠟⠀⠀⠀⠀⠀⠀⠙⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀ ⠀⠀⠀⠃⠀⠙⢷⡶⠤⣤⢤⠤⠴⠖⠋⣩⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠳⣌⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢴⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣦⣿⠀⠀⠀⠚⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡀⠈⠉⠓⠲⢶⡶⠶⣶⠞⠋⠁⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠀⠀⠀⣸⡁⡼⠁⠀⠀⠀⠈⡧⠀⠀⠀
⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠇⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠿⠛⠋⠉⠉⠉⠉⠀⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡏⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣶⣶⡖⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⠇⠉⢙⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣛⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡟⠻⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡀⢀⣿⣿⣿⣿⣿⡿⠁⢀⣶⡗⢀⣿⣿⣿⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⠀⠈⠛⢿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⣿⣿⣿⣿⣿⣿⣿⣷⣤⣾⣿⠃⠸⠿⠋⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣟⡻⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣙⠻⢿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡴⣿⣿⣿⣿⣧⣶⣦⣤⣴⣶⣶⣤⡀⠀⠀⠀⠀⠀⢹⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣟⣻⣂⣀⣀⣤⣤⣶⣶⣶⣿⣿⣷⣶⣶⣭⣙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣯⣭⣭⣭⣭⣭⣛⣛⣻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡙⢿⣿⣿⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⢻⣿⣿⣿⣿⣿ ⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢻⣿⣿⣿⣿ ⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣧⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⢻⣿⣿⣿⣿⣿⣿⣿⣿⡌⣿⣿⣿⣿ ⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢿⣿⣿⣿⣿⣿⣿⣿⣷⢸⣿⣿⣿ ⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⣿⣿⣿⣿⣿⣿⣿⣿⠈⣿⣿⣿ ⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⡿⣀⢹⣿⣿ ⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⢋⠟⣸⣿⣿ ⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣿⣿⣿⣿⣿⣿⡟⢘⣰⣿⣿⣿ ⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣧⢻⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣻⠭⠿⠍⣽⣿⣿⣿⣿⡟⣸⣿⣿⣿⣿⣿⠟⣠⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⣀⣀⡀⠀⠀⠀⢹⣿⣿⣎⢿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠨⠶⠟⣋⣴⣿⣿⢏⣼⡟⣰⣿⣿⣿⡿⠟⣡⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠻⢿⣿⣦⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣣⡾⢋⣀⣛⣛⣫⣥⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣫⣥⣶⣿⣶⣦⣬⣭⣈⠛⠿⣿⣿⣭⣝⣛⣛⣛⣛⣭⡴⠞⣫⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣭⣭⣛⣛⣋⠉⣥⡀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠟⣋⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡻⣿⣿⣿⣿⣿⣿⣿⠿⣫⣾⣿⣧⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⣿⣿⣿⣿⠿⠶⢂⣟⣛⣛⣛⣃⠹⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡿⢃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⣿⣧⣶⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣮⣍⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢿⣿⣿⣿⣟⣛⣻⣿⣿⣿⣿⢿⣿⣿⣻⣿⣿⣿⣷⣬⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⡶⢶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣝⣿⣶⢽⣿⣿⣛⢶⡝⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢹⣶⠒⠾⠭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡻⣽⢿⣾⣵⣮⣂⡹⣿⣿⣿⣿⣿ ⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣿⣰⢃⣿⣶⣦⣍⡛⠻⣿⣿⣿⣟⠿⣿⣿⣮⡳⣽⣿⣿⣿⡗⠘⣿⣿⣿⣿ ⣿⣿⣿⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡾⢸⣿⣿⣿⣿⣿⣿⣦⢉⡻⢿⣿⣮⣛⢿⣿⣎⢿⣻⡿⠏⣠⠸⠿⢿⣿ ⣿⣿⣿⣷⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣇⣆⢻⣿⣿⣿⣿⣿⣿⡇⣿⣶⣍⡛⠿⣷⣌⡻⣾⣿⠀⠞⣡⣶⣿⡆⢹ ⣿⣿⣿⣿⣷⣌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⢻⣿⣆⢻⣿⣿⣿⣿⣿⡇⢹⣿⣿⣿⣷⣦⣍⡳⠌⠓⢀⣾⣿⣯⣍⢡⣿ ⣿⣿⣿⣿⣿⣿⣦⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣧⢻⣿⣧⠹⣿⣿⣿⣿⡏⢸⣿⣿⣿⣿⣿⣿⣿⣦⡀⢾⣿⣿⣿⣿⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣼⣿⡎⣿⣿⣧⢹⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⡛⠛⠁⣁⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣷⢿⣿⣿⡇⢿⣿⣿⢇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣧⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⢸⣿⣿⣿⢸⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣿⠇⣿⣿⣿⣿⢸⣿⢇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣧⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢸⣿⣿⠏⣼⣿⣿⣿⢇⣾⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠶⢛⣡⣾⣿⣿⠿⣣⣾⣿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣤⣍⣛⣋⣩⣵⣾⣿⣿⡏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣷⣄⠀⠀⠀⣀⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠏⠀⠀⣿⠀⢀⡾⠛⠋⠀⣾⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡏⠀⠀⠀⣿⢀⣾⠁⠀⣰⠆⢹⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣧⠀⠀⢠⡟⢸⡇⠀⣰⠟⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣹⣆⢀⣸⣇⣸⠃⢠⡏⠀⣸⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣶⣶⣶⠾⠟⠛⠉⠉⠉⠈⠉⠉⠛⠁⢾⠁⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⣶⠾⠟⠛⠛⣻⣿⣙⡁⠀⠀⢾⣶⣾⣷⣿⣶⣄⠀⠀⠀⠀⠰⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣴⣶⣶⠾⠟⠛⠉⠉⠉⠀⠀⠀⠀⠀⣿⣻⣟⣻⣿⡦⠀⠘⣿⣿⣛⡿⢶⡇⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠙⣿⣿⡗⠀⠀⠿⠉⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠈⢿⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⣄⣿⡿⠁⠀⠀⠘⢦⣿⣿⠇⠟⠁⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣇⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⡀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡾⠟⠛⠆⠀⠀⠀⠀⠀⢀⢻⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠿⣿⣭⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⠾⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠷⠶⢶⣶⣦⣤⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣌⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⣤⣴⣾⣿⣿⣿⣓⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣷⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣶⣾⣟⣯⣽⠟⠋⠀⠉⠳⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢇⠀⠉⠛⠷⣮⣍⣩⡍⢻⡟⠉⣉⢹⡏⠉⣿⣹⣷⣦⣿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⢸⠇⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⢠⣠⡶⠀⠀⠀⠀⠘⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠟⠁⠀⠀⠀⠀⠀⠘⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣇⡀⠀⠀⠀⠀⠀⠀⢹⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣥⢠⣤⠼⠇⠀⠀⠘⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣽⡄⠈⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠿⠾⠷⠄⠀⠀⠀⢀⣿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⠋⠀⠀⠀⠀⠀⠀⢰⣾⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⣠⣿⣿⣶⣶⣤⣤⣄⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣴⣿⣇⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠀⠉⠛⢿⣿⣯⣿⡟⢿⠻⣿⢻⣿⢿⣿⣿⣿⣿⣿⠿⠟⠹⣟⢷⣄⠀⠀⠀⢀⣼⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⠘⢷⣌⡻⠿⣿⣛⣿⣟⣛⣛⣋⣉⣉⣉⣀⡀⠀⠀⠈⠻⢿⣷⣶⣶⢛⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣏⠀⠀⠀⠀⠹⢯⣟⣛⢿⣿⣽⣅⣀⡀⠀⣀⡀⠀⠀⠀⠠⢦⣀⠰⡦⠀⢸⠀⣏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠈⠉⢻⣿⡟⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠈⠛⠷⠀⣸⠀⣿⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⠀⠀⢦⡀⡀⠀⠀⠀⠀⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠈⠳⣝⠦⢄⠀⠀⠀⣟⣷⠀⠀⠀⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⡀⠀⠀⠈⠙⠂⠀⠀⠀⢸⣿⡄⠀⠀⠘⢦⡙⢦⡀⠀⠀⠀⠀⢰⣷⣷⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⢧⣤⣀⡀⠀⠀⠀⠀⠀⠀⢿⣷⣄⠀⠀⠀⠁⠋⠀⠀⠀⠀⠀⢸⣿⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡀⠈⠉⠛⠛⠛⠛⠛⠛⠛⠛⢿⡍⠛⠳⠶⣶⣤⣤⣤⣤⣤⣤⠼⠟⡟⢿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣾⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣿⣷⣶⣶⣶⣶⣶⣶⣦⣀⣀⣀⣻⡀⠀⠀⠀⣀⣀⠀⡀⠀⠀⠀⢀⣼⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠁⠀⠀⠈⠻⣿⡆⢹⣯⣽⣿⣿⠟⠋⠙⣿⣶⣿⣿⣿⣿⣾⣿⣿⣿⣟⠋⠉⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⡀⠀⠀⠀⠈⢻⣆⣿⠀⠀⠀⢁⣶⣿⠿⠟⠛⠷⣶⣽⣿⣿⣻⣏⠙⠃⣴⢻⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣀⠀⠀⠉⠀⠀⠀⠀⠀⢹⣿⠀⣀⣴⣿⠋⠀⠀⠀⠀⠀⠀⠉⠻⣿⣧⣿⢀⣰⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣶⣶⣤⣤⣤⣤⣤⣤⣾⣿⣟⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣅⣾⢿⣵⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠁⢹⣜⠷⠦⠤⠤⠤⠤⠤⠴⠶⠛⣉⣱⠿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠷⣦⣤⣤⣄⣠⣤⣤⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⢰⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⢹⠰⡀⠀⠀⡃⠑⢾⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⡀⠀⡆⠇⠀⠛⣄⠀⣇⣰⡿⣧⣤⣤⣬⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⠀⠸⠐⣧⣈⢸⣄⢈⣷⣿⣿⢃⣿⣫⣴⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⡄⠐⡁⠈⢆⠈⠉⠻⣿⡿⡛⠉⣀⣤⣤⣤⣭⣿⡓⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠀⠐⡆⠈⢳⣶⣶⢯⠊⣠⣾⣿⣿⣿⣿⡍⠉⠳⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢆⠀⠑⠀⡀⠙⡿⠁⣾⣿⣿⣿⣿⠝⠒⠢⢄⠀⠀⠑⢤⡀⠀⠀⠀ ⠀⠀⠀⠐⣤⣈⣦⣀⣀⠀⢀⡧⢤⣿⣿⣿⣿⣀⠄⠀⠀⠀⣣⣷⣦⡀⠈⠢⡀⠀ ⠀⠀⠀⠀⢣⡈⠙⢣⡀⢨⠃⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣶⣶⣿⡆ ⠀⠀⢀⣐⣶⣛⠯⠖⠳⢼⠀⠀⠀⠀⡜⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠹⣁⠀⠀⣈⣩⠥⠀⠳⣦⠀⠀⣳⡿⢿⣿⣿⣿⣮⡻⢿⣿⣿⣿⣿⡫⣺⠀ ⠀⠀⠀⢈⣻⢛⡳⠤⠤⡾⣟⣒⠛⠯⡽⣍⠐⢌⡉⠙⠛⠛⠳⠬⠟⠋⠐⢊⠍⠀ ⠀⠀⡠⢐⡗⢁⡾⠋⣉⣬⠖⠒⠲⡤⠌⣂⠥⢀⡈⢣⡈⠀⠀⠀⠐⠪⢽⣋⠒⢄ ⡠⠊⠀⠛⠲⣿⡃⠜⡯⣴⢺⡛⠲⣵⢄⡀⠨⠁⠒⠒⠈⠀⠀⠀⠀⣀⣀⣉⡹⠂ ⠀⠀⠀⠀⠀⠘⡿⠀⢀⢿⢸⡇⠀⠀⠑⠪⡍⠒⠂⠀⠀⠀⠀⣠⠤⠐⠒⢾⡿⡂
⣿⣿⣿⡆⠙⠿⣿⣿⣿⣿⡿⣿⣄⢡⣾⣿⣿⢻⣧⢱⣬⡳⢿⣿⠿⣿⣿⣿⣿⣯⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣧⢹⣷⣦⠻⣿⣿⣿⣿⣿⣿⣦⡸⣿⣿⣿⢿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠃⠀⠀⠰⣭⣛⣩⡄⣿⣿⠈⣿⣿⣿⡇⢿⣷⠸⣿⣦⣍⡳⢶⣽⣿⣿⣿⣿⣦⡙⠿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⠟⣰⣦⡙⢿⣿⣿⣿⢸⣿⣿⠗⡙⣿⣿⣿⣿⣿⣿⣿⣎⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡏⠀⠀⢠⢠⣿⣿⣿⣧⢹⣿⠀⣿⣿⣿⣿⡈⣿⠃⣿⣿⣿⣿⣷⣬⣝⡛⠿⣿⣿⣿⣷⣬⣙⠻⢿⣿⣿⣿⡇⣼⡿⢛⣡⣾⣿⣿⣷⣮⡙⢿⣿⢨⣭⣵⣾⠗⡈⣿⣿⣿⣿⣿⣿⣿⣿⣦⡸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠃⢀⣴⠟⠂⢿⣿⣿⣿⣼⣿⡇⢻⣿⣿⣿⡇⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣷⣶⣬⣍⣛⡛⠿⠷⠶⠦⠭⠋⠈⠡⣴⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡚⠿⡿⢣⣾⣷⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⠻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⢠⣾⡏⡴⡐⢸⣿⣿⣿⣿⣿⡇⠘⣿⣿⣿⣿⣄⢸⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠸⠿⠇⠀⠙⠉⣁⣽⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣍⣛⠻⢷⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⢸⣿⢰⡇⡇⢸⣿⣿⣿⣿⣿⡇⡆⢻⣿⣿⣿⣿⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠰⣶⣦⡀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣍⡛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠘⣿⡸⡇⠃⢸⣿⣿⣿⣿⣿⣷⢸⣦⡙⠿⢫⢸⣿⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡙⢿⣷⡀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣝⠻⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠀⠹⣗⣷⡀⢸⣿⣿⣿⣿⣿⣿⠈⣿⣿⣶⠏⣼⣿⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⠹⣷⡄⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡙⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡄⠀⠹⣿⣿⢸⣿⣿⣿⣿⣿⣿⡆⣿⣿⣿⣿⡿⢋⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡘⢿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡙⢿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣧⠀⠀⠉⢛⢸⣿⣿⣿⣿⣿⣿⣧⠸⠿⣛⣩⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⠻⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡄⠀⠀⠈⢸⣿⣿⣿⣿⣿⣿⣿⣆⢻⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣷⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠨⣅⢰⣿⣿⣿⣿⣿⣿⣿⢋⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣧⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣇⠃⣾⣿⣿⣿⣿⣿⣿⢃⣾⣿⣿⣿⡿⠛⣛⣉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⡟⢸⣿⣿⣿⣿⡇⠛⣿⡿⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣿⣿⣿⣿⣿⣿⣷⢸⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢁⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣧⠻⣿⣿⣿⣿⣿⣿⣿⣿⠁⣼⡎⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣧⠹⣏⢿⣿⣿⣿⣿⡟⢰⣿⣿⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣾⣷⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⢀⣀⣴⣶⣶⣶⡖⢂⡀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣧⠙⠈⢿⣿⣿⣿⠇⣼⣿⣿⣿⡌⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⠆⣿⣿⣿⡆⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢠⢴⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣸⣗⢦⢛⠛⠋⣼⣿⣿⢋⣿⣿⣦⡙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⣀⣥⡜⢹⣷⣶⣓⣿⣶⣌⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠈⢉⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡟⣡⣽⣿⢘⢸⣿⣿⣿⣿⡏⣼⣿⣿⣿⣿⣷⣌⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣋⣴⡿⢯⣿⣿⢸⣿⣿⣧⢹⡙⣿⣿⡇⢀⢩⣝⣛⣛⡛⠛⠋⠉⠁⠀⠀⠀⠀⠀⣠⣿⣿⣏⣸⣿⣿⡏⡌⠃⢸⡃⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠟⡐⣹⣿⣏⡌⣾⣿⣿⣿⣿⢡⣿⣿⣿⣿⣿⣿⡿⢋⣴⣬⣙⣛⠿⠿⠿⠿⠿⠿⠟⣛⣉⣥⣶⣾⠿⢋⣴⣿⣿⢹⡇⣿⣿⣿⡆⣷⢹⣿⣿⠈⣆⢻⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠻⣿⣿⣿⣿⢏⠜⣰⣿⣿⣿⠇⣿⣿⣿⣿⠇⣾⣿⣿⣿⣿⠟⣡⣴⣿⣿⣿⣿⣿⣿⣿⣷⡘⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⡇⢹⣿⣿⣇⢹⡄⣿⣿⡇⣿⡆⠁⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠷⣌⡙⠿⢣⢎⣼⣿⣿⣿⠻⢰⣿⣿⣿⣿⢰⣿⣿⣿⡿⢃⣾⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣧⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⢸⢰⣿⣿⡇⣿⣿⣶⡀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ ⣷⣬⡉⡰⣣⣾⣿⣿⣿⡟⡌⣾⣿⣿⣿⡇⣿⣿⣿⠟⣰⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⢻⣿⣿⣆⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡇⣿⣿⠀⣿⣿⣿⣿⡄⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡙⠋⣜⣴⣿⣿⣿⣿⣿⢰⢃⣿⣿⣿⡿⢸⣿⣿⠏⠈⢁⡄⠹⢿⢿⣿⣿⣿⣿⣿⣿⣇⢿⣿⣿⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠀⣿⣿⡙⠟⢱⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢁⣾⣿⣿⣿⣿⣿⣿⠃⡘⣸⣿⣿⣿⣇⡾⢋⣵⣾⣀⣀⣠⣶⣶⣤⣉⠙⠻⢿⣿⣿⣿⣼⣿⣿⣇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⠀⣿⡿⢃⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⠏⢀⢡⣿⣿⣿⠟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡈⠛⢿⣿⣿⣿⣿⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢸⡿⢿⢠⡟⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠏⡄⠎⣼⣿⠟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠙⠿⣿⣿⣷⢸⣆⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡤⠟⠁⠀⣈⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡟⡘⡀⣰⣿⢃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠈⠻⣿⡆⢧⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣀⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡟⡰⠱⢡⣿⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠙⢿⡌⢷⡀⠈⢿⣿⣿⣿⣿⣿⣿⣿⠿⢛⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠁⣱⢣⣿⢃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠱⣌⠻⣆⡁⠍⠉⠝⣛⣻⠥⠀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⢃⣴⢃⣾⡏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠘⢶⣬⡙⠂⣷⣶⡿⢫⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣫⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣧⣾⢃⣾⣿⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠛⣃⣴⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⢃⣾⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢌⢻⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣟⣩⣴⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⢣⣾⣿⣿⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠘⣆⠻⣿⣿⣿⣿⣿⣿⠿⠿⠿⠍⢋⣩⣴⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⣡⣿⣿⣿⡟⠁⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⣿⡇⢻⣧⡘⢻⣿⣛⣛⣿⣿⠀⠀⢼⢟⠻⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣿⣿⣿⠿⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⣿⣿⣦⡙⠛⣿⣿⣽⣷⡀⡀⢈⣀⣀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡟⠀⠀⠀⠘⣿⡟⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢿⣿⣿⣿⣷⣦⣭⣉⣉⣭⣴⣾⣿⣿⣿⣶⡙⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡿⠁⠀⠀⠀⠀⢻⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠃⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣹⣿⡇⣇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡟⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⡇⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠃⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⠇⣿⡆⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣰⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣿⢰⣿⣿⣎⠻⣿⣿⣿⣿⣿⠿⠿⠿⠟⣛⣡⣾⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣸⣿⣿⡇⣼⣿⣿⣿⣷⣶⣭⣭⣭⡵⢶⠶⣛⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⢡⣿⣿⣿⣿⣿⣿⣷⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⡤⠀⠀⠀⠀⠀⠀⠀⣠⠾⠛⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠛⠉⠀⣰⠋⠀⠀⠀⠀⠀⢀⣤⠞⠁⠀⠀⢹⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⠉⠉⠉⠙⠛⠒⠶⢤⣄⡀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⣼⣃⣀⣀⣀⠀⣀⡴⠋⠁⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⣄⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣇⡀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢽⠄⠀⠀⠀⠀⠀⠀⠀⠾⠦⢤⣤⣤⣼⡧⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀ ⠀⠀⣰⣦⡴⠚⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⣰⠇⠉⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⣤⣤⣤⣄⣀⣀⣀⣀⣀⠀⠀⠀⣸⠀⠀⠀⠀⠀ ⠀⠹⣖⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠐⢺⡟⠉⠉⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠉⠙⣏⠙⢃⡏⠀⠀⠀⠀⠀ ⠀⠀⠹⣦⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀⢸⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠆⠀⢸⡀⠈⠉⠓⠶⣄⡀⠀ ⠀⠀⠐⣾⠷⣄⠀⠀⠀⣠⠴⠟⠲⠶⠼⣧⡀⠀⢻⣿⣿⣿⣿⡿⠃⠀⠀⠀⠈⢿⣿⣿⣿⣿⠟⠀⢀⡾⠀⠀⠀⠀⠀⣈⣹⡄ ⠀⠀⠀⠈⢷⡀⠀⠀⠾⠧⢤⣄⣀⡀⠀⠈⠛⠀⠀⠉⠛⠛⠉⠀⠀⠀⠲⠒⠀⠀⢈⡩⠉⠁⠀⠀⠞⠁⠀⠀⠀⢻⡍⠉⠀⠀ ⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⢀⣤⣔⣒⡶⠀⠀⢧⣤⠴⠛⠲⠤⠴⠚⠁⢠⡴⣔⣲⠆⠀⢀⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠉⠒⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠀⠀⢀⣴⠛⠳⣆⣸⠇⠀⠀⠀ ⠀⠀⠀⡀⣰⠃⠀⠀⠀⠀⠀⣇⣠⠶⠋⠓⢶⡶⣶⠶⠒⠲⢦⡀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡤⠴⠞⠋⠀⠀⠀⠈⠉⠀⠀⠀⠀ ⠀⠀⣼⡿⠁⠀⠀⠀⠀⠀⠐⠛⠁⠀⠀⢀⡞⢰⠇⠀⠀⠀⠀⠙⠦⠀⠀⠀⠀⣼⣇⣁⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣋⡄⣿⠀⠀⠀⠀⠀⠀⣧⠀⠀⠠⢿⣟⣷⠧⠀⠈⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⡽⠋⠀⢻⠀⠀⠀⠀⠀⠀⢹⡄⠀⠈⠻⠻⠦⣄⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⣿⠛⠇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⣸⢁⡀⠀⠀⠀⢸⢿⡀⠀⠀⠀⠀⠀⢹⡆⠀⢸⣷⣿⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⣦⣜⣧⠀⠀⠀⠀⠀⠀⠀⠀⠿⢾⣇⠀⠀⢀⡾⠘⣧⠀⠀⠀⠀⠀⠀⢻⡀⠈⢸⡀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢯⡹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣦⠴⠋⠀⠀⢻⡆⠀⠀⠀⠀⠀⠈⣧⠀⢸⡇⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠻⣮⠳⣄⠀⠀⠀⠀⠀⣠⡴⠋⠁⠀⠀⡀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠘⣆⠘⡇⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⠶⣭⣒⣠⣠⡾⠋⠀⠀⠀⠀⠀⠙⠲⢦⣌⢷⡀⠀⠀⠀⠀⠀⠹⡆⣷⠀⠀⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⣿⠛⠲⠦⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠙⢳⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠸⡆⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠹⣄⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⢻⡀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠹⣆ ⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠈⢷⡀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⢹ ⠀⠀⠀⠀⠀⠀⣰⠿⣏⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠈⠳⣄⠘⠷⠶⢤⣄⠀⠀⠀⠀⢀⡿ ⠀⠀⠀⠀⠀⠀⣿⡀⠈⠳⣮⡲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠘⣧⠀⠀⠀⠈⢳⡄⠀⣰⠟⠁ ⠀⠀⠀⠀⠀⠀⠙⠳⢦⣤⣤⣹⣷⣭⡢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣿⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢬⣁⠐⠀⠠⠤⠤⠄⠀⠀⣀⣽⡃⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⣠⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠲⠶⠶⠶⠚⠛⠁⠈⢷⣔⠂⠀⠀⣀⡾⠳⠶⠶⠶⠟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠉⠉⢀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠠⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡴⠒⠒⠒⠒⠒⠶⠦⠄⢹⣄⠀⠀⠑⠄⣀⡠⠤⠴⠒⠒⠒⠀⠀ ⢇⠀⠀⠀⠀⠀⠀⠐⠋⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀ ⠈⢆⠀⠀⠀⠀⡤⠤⣄⠀⠀⠀⠀⡤⠤⢄⠀⠀⠀⠀⠀⣠⠃⠀ ⠀⡀⠑⢄⡀⡜⠀⡜⠉⡆⠀⠀⠀⡎⠙⡄⠳⡀⢀⣀⣜⠁⠀⠀ ⠀⠹⣍⠑⠀⡇⠀⢣⣰⠁⠀⠀⠀⠱⣠⠃⠀⡇⠁⣠⠞⠀⠀⠀ ⠀⠀⠀⡇⠔⣦⠀⠀⠀⠈⣉⣀⡀⠀⠀⠰⠶⠖⠘⢧⠀⠀⠀⠀ ⠀⠀⠰⠤⠐⠤⣀⡀⠀⠈⠑⣄⡁⠀⡀⣀⠴⠒⠀⠒⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢯⡉⠁⠀⠀⠀⠀⠉⢆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣞⡄⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⣦⡀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⠻⣶⣤⡶⢾⡿⠁⠀⢠⣄⡀⢀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⣀⣼⠷⠀⠀⠁⢀⣿⠃⠀⠀⢀⣿⣿⣿⣇⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⣾⣯⣅⣀⠀⠀⠀⠈⢻⣦⡀⠒⠻⠿⣿⡿⠿⠓⠂⠀⠀⢂⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⢻⡇⣤⣾⣿⣷⣿⣿⣤⠀⠀⣿⠁⠀⠀⠀⢀⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⡿⠏⠀⢀⠀⠀⠿⣶⣤⣤⣤⣄⣀⣴⣿⡿⢻⣿⡆⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠟⠁⠀⢀⣼⠀⠀⠀⠹⣿⣟⠿⠿⠿⡿⠋⠀⠘⣿⣇⠀⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⣶⣶⣿⣿⣇⣀⠀⠀⠙⣿⣆⠀⠀⠀⠀⠀⠀⠛⠿⣿⣦⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⠿⠋⠁⠀⣹⣿⠳⠀⠀⠀⠀⠀⠀⢀⣠⣽⣿⡿⠟⠃ ⠀⠀⠀⠈⠀⢰⠿⠛⠻⢿⡇⠀⠀⠀⣰⣿⠏⠀⠀⢀⠀⠀⠁⣾⣿⠟⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⣰⣿⣿⣾⣿⠿⢿⣷⣀⢀⣿⡇⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠋⠉⠁⠀⠀⠀⠀⠙⢿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ 𐙚 -`♡´-˙✧˖°📷 ༘ ⋆。˚˙✧˖°📷 ༘ ⋆。˚˚˖𓍢ִ໋🌷͙֒✧˚.🎀༘⋆˚‧。⋆🌻⋆。‧˚⛷🧚‍♀️🛖
⠀⠀⠀⠀⠀⢠⣒⣤⠤⣀⣀⠀ ⠀⠀⠠⣒⢤⠋⠂⠈⡷⠒⠒⣗⠢⡀⠀⠀⠀⠀ ⠀⢠⠋⠀⡇⠀⠀⣰⠁⠀⢀⡼⠠⣱⠀⠀⠀⠀ ⠀⢈⠀⠀⣧⣀⣠⣏⢀⠴⠋⠉⠙⡟⡄⠀⠀⠀ ⠀⠘⣄⢠⠟⠉⠉⢻⡎⠀⠀⠀⣸⠇⢸⠀⠀⠀ ⠀⢀⠜⡏⠁⠀⠀⠀⣧⣀⣠⠾⠋⠀⡜⠀⠀⠀ ⠀⡜⠀⠁⠀⠀⠀⠀⠘⣷⠀⠀⡠⠊⠀⠀⠀⠀ ⠀⠹⣁⡤⢾⡀⠀⠀⢠⠏⠀⡐⠁⠀⠀⠀⠀⠀ ⠀⠀⠃⢴⠀⠉⠒⠚⠃⠀⢠⠁⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠈⠁⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠀⠂⠄⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⢷⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣟⡄⠉⠻⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠟⠋⠉⠀⢻⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠈⠃⠀⠀⠈⠙⢷⣴⡀⠀⠀⣀⣀⣀⣀⣀⡺⣧⠙⠻⣶⡂⠀⠀⠀⠀⠀⢀⣤⡿⠋⠀⠀⠀⠀⠀⠘⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⡀⠀⠀⠀⠀⠀⠀⠙⢷⣞⠛⠋⠙⠉⠉⠉⠙⣻⡟⠀⠉⣿⣖⣀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣤⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢮⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠳⠅ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣇⠀⠀⠀⠠⣰⣆⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣠⣤⣲⣆⡀⠀⠀⠀⠀⠀⠀⣴⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠉⠿⠹⢿⣿⣿⣶⣶⣀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣿⣿⣿⣿⡿⠿⠿⠏⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠙⣷⡢⠀⠀⠀⠀⠀⠀⣀⣨⣽⣿⠿⠃⠀⣀⣤⡄⡀⠀⠙⠿⣿⣾⣦⣭⣄⣀⡤⠀⠀⠀⠀⣀⣠⣿⣥⣤⣤⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣧⣤⣈⣻⣷⡀⠀⢸⣾⡿⡿⠟⠋⠉⠀⠀⠸⢟⡛⡿⠇⠀⠀⠀⠀⠉⠙⠛⢿⢿⣿⡷⡆⢀⠺⡿⢋⠙⣩⣾⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣷⣈⡁⠍⣩⠤⣄⡈⢩⡼⠈⠀⠀⠀⠀⠀⠀⠠⣤⡀⠀⠀⠀⣠⡀⠀⠀⠀⠁⣾⠟⣿⣀⣾⠿⠃⣼⣾⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣴⣒⡿⢛⣿⣲⡾⡟⠀⠀⠀⣾⡄⢀⣴⡾⠛⠳⢦⣤⣤⡾⠇⠀⠀⠀⠀⠈⠸⢿⢩⠗⠀⠀⠀⣻⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠓⠀⠈⠉⠙⠀⠀⠀⠀⠀⠈⠛⠛⣷⠀⠀⠀⠀⢀⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⢀⠘⢻⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⢀⠀⡀⡀⣠⡄⠀⠀⠀⠀⠀⠀⠀⢻⣦⠀⠀⠀⢠⡗⢠⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⡿⡿⠶⠶⠿⠚⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣿⣴⠾⠟⠻⣦⣿⣷⣤⣀⡀⠀⠀⠀⠀⠀⢻⣦⡀⠐⣸⡇⠀⠀⠀⢀⣀⣠⣠⣴⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠉⢿⣄⠉⠛⣷⣶⠀⠀⠀⠈⠙⠛⠛⠋⠀⠀⠀⠀⠘⣿⡝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣻⣧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⣁⡀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⢻⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠄⠢⠤⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡠⠒⠈⠉⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠢⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠈⠑⢄⠀⠀⠀⢀⡠⠒⠈⠉⡹⠋⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠑⢄⡰⠁⠀⠀⠀⣰⣁⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠠⠬⠭⠒⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀:⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⢀⡀⠤⢤⣤⣤⣤⡤⠀⠀⠀⣤⣤⣤⠄⣀⠀⠜ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠭⣉⠉⠉⠀⠀⡅⠀⠘⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⠀⡸⠘⣪⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠁⠀⢀⣬⠔⠀⠙⠿⠟⠁⠀.⠤⠘⠿⠃⠠⠵⠂⠀⢃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠤⠤⠤⣀⠀⠀⠠⣀⣀⡀⠀⠀⠀⠀⠀⢀⠤⠂⠒⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠒⠤⠄⣀⣀⣁⠠⠤⠐⠊⠁⠀⠀⢀⠀⡧⣧⣤⡜⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡆⠀⣠⡴⠁⢠⡄⠄⠒⠒⠂⠤⠤⠴⠀⠀⠀⣘⣄⠀⢀⡀⠀⠐⠂⠊⠑⠒⠒⠊⠁ ⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⢇⡜⠀⡇⢠⡏⠀⠀⠀⠀⡀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠈⠙⡔⠢⡀ ⠀⠀⠀⠀⠀⢴⠀⢸⠀⠀⠀⠉⠀⠈⢲⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⢔⠀⠀⠀⠀⢝⡕⠄⣀⠈⡄ ⠀⠀⠀⠀⢰⠈⢢⡘⡀⠀⠀⠀⠀⠀⢠⠀⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡀⠀⠀⠀⠈⠀⠀⠈⠑⢄ ⠀⠀⠀⠀⠈⡄⠀⠈⠈⠀⠀⠀⠀⠀⡀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣ ⠀⠀⠀⠀⠀⠐⢄⡠⠀⠀⠀⠀⠀⢀⠇⠀⡇⣠⣴⣤⣄⡀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⠀⠀⠀⠀⡄⢸⠀⠀⠀⠀⠀⣘⣀⠀⢣⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿ ⠀⠀⠀⠀⠀⠀⢋⠪⠆⣀⠔⠊⠉⠀⠀⠀⠈⢿⣿⣿⣿⣿⡇⠀⠀⠀⢀⠜⢄⠀⠀⠀⠀⠀⠀⣾⣿⣿⠏⠢⢄ ⠀⠀⠀⠀⣀⠠⠚⠒⠊⠀⠀⠀⠀⠀⠀⢀⠠⢊⠏⠛⠿⠯⠥⠤⠔⠊⠁⠀⠆⠁⠒⠠⢤⠤⠔⣛⠉⠀⠉⠒⠒⠄⡀ ⠀⠀⠀⡐⢀⣀⠀⠀⠀⣄⠤⠐⠂⠉⠉⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠈⠀⠈⠉⠐⠢⢄⢀⡀⠠⣈ ⠀⠀⠘⠒⠱⠀⢀⠀⢠⠁⠑⠢⢀⠔⠊⠁⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⡇⠢⠀⠀⠀⠈⢆⢀⡸. ⠀⠀⠀⠀⢣⢤⣀⡀⡌⠀⠀⡔⠁⠀⠀⠀⠀⠀⠑⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠑⢄⠀⠈⣹⡅⡪⣪ ⠀⠀⠀⢠⡢⢃⢟⠰⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠀⠈⢢⠀ ⠉⠈⠘ ⠀⠀⠀⠈⠵⠅⠊⠁⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⡐⠃⠀⠀⠀⠀⠀⠀⢣ ⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⢇ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⢀⢜⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡏⠛⠛⢿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠹⣿⣆⠀⠀⠈⠻⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢻⣿⣟⠛⠻⢿⣷⣦⣠⣤⣾⣿⣿⣧⣀⣤⣤⣾⣿⣿⣿⣿⠋⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠛⠛⢫⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⣿⣦⡀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⢨⣷⡀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⣿⣦⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣾⣿⡟⢳⡀⠀⠀⠀⠀⠀⠀⠙⣆⠀⣠⣾⣿⣶⣦⣤⠤⠒⠒⠒⠒⣲⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡟⠉⠏⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠹⡄⠀⠀⠀⠀⠀⠀⠈⠙⠿⢿⣿⣿⣿⣏⣀⣀⣀⡤⠴⢿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣷⠞⠉⢻⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡿⠋⠙⢦⠀⠀⠀⠀ ⠀⠀⠀⢠⡇⢸⣿⣿⣿⣿⣯⣧⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠈⢧⠀⠀⠀ ⠀⠀⠀⢸⣷⣾⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⣴⣾⡇⠀⠀ ⠀⠀⠀⣸⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⠀⠀ ⠀⠀⠀⢸⣄⣿⣿⣟⠹⣿⣿⣏⠉⠉⠜⠛⠉⢠⠟⣿⣿⡿⢹⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⠸⣿⣿⣿⣿⡾⠁⢸⣿⣷⡄⠀⠀⠀⣸⣀⣸⠋⠀⣸⣿⣿⣿⣿⠷⠦⣀⡀⠀⠀⠀⠀⠀⢀⣀⡠⠴⢖⣤⣶⣶⣶⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⢠⠟⠛⠛⡇⠀⠀ ⠀⠀⠀⠀⢿⣿⣿⣿⡇⠑⠸⠿⠿⠷⠀⠀⠀⠉⠀⠀⠀⢠⣿⣿⡿⠋⠀⠀⠀⠀⠉⠛⠢⢤⠤⠞⢋⣀⡀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⣠⠞⠀⠀⣴⠃⠀⠀ ⠀⠀⠀⠀⠈⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠘⠲⠆⣀⣤⣾⣿⣿⡿⣄⠲⣄⡀⠀⠀⠀⠀⠀⣠⣤⠭⠭⠭⢭⣍⡛⠻⢿⣿⣿⣿⣿⠟⠉⠉⠉⠻⢶⣶⣿⣷⣶⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣿⣿⣇⠈⠙⠒⠒⠒⠒⠚⠋⠁⠀⣿⣿⣿⡇⠈⠳⢬⣿⠉⢲⣶⠖⠋⠀⠀⠀⠀⠀⠀⠀⠉⠑⠲⣍⠻⣿⡏⠀⠀⠀⠀⠀⠸⣿⣿⡿⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡿⠀⠀⠀⠀⠘⢳⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⠃⠀⠀⠀⠀⠀⢸⣟⣥⢄⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠖⠋⢀⡰⠂⠀⠀⠀⢠⠏⠀⠀⠀⠀⠙⢦⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⢀⣤⡞⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠻⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⣰⣄⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠔⢻⣿⠁⢰⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⣿⣷⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠉⠁⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠔⠋⢀⡼⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣯⣄⣠⣔⠋⠀⣠⡾⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⣀⠀⠀⠀⠀⠈⠉⠲⣄⠀⠀⠀⠀⣰⠏⠀⠀⠈⠉⠛⠛⠁⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⡼⠏⢀⣴⣶⣿⣿⣿⣶⣬⡀⠀⣀⡼⢋⣤⠶⠶⠶⠦⠄⠀⠀⠀⠀⠀⠙⠷⢤⣀⣀⠴⠚⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⢰⠋⠀⠀⢀⣴⣾⣿⣷⣄⠀⠀⣀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⠟⠁⠈⠙⠻⣿⡄⠸⡄⢀⣼⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⡿⢠⣾⣿⣶⡀⢙⣳⣄⢁⣾⣿⣿⣿⣿⣿⡿⠟⠛⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⢱⡸⠿⠿⠋⠀⢠⠂⠉⠛⣿⣿⣿⣿⣿⠋⠀⠀⠀⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠉⠓⠒⣋⡉⣿⣧⠀⠀⠀⠉⠻⢿⣧⡀⠀⠀⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⣼⣿⣹⣟⣿⡟⠀⠀⠀⠀⠀⠀⠉⠻⢷⣤⣾⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢈⣉⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⡟⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡌⣆⠀⠀⠀⣷⠎⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⡄⠀⠀⢸⡈⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣰⣹⣆⠀⠀⣧⣤⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⡷⠚⠛⢻⣟⠲⣤⡤⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣤⣿⣿⣼⢥⣆⢀⠀⣝⠂⣿⡄⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⣾⣿⣿⣿⡿⣿⡟⣿⣰⢸⡼⣿⣿⣤⣧⣾⣠⣴⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡟⣿⡟⣟⣇⡇⣤⢸⣿⡖⡇⣧⡧⠹⣿⡿⣿⣷⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⡇⣿⣿⣿⣿⣿⣿⢯⣿⣿⣿⢀⣰⡇⢹⠏⠉⠙⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣇⣧⣿⣿⠿⣿⠉⠉⢏⣿⢟⣿⡟⣿⢠⡿⠀⠀⠀⠀⠈⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠘⢿⣿⣿⠇⠉⠀⠀⢀⡠⢈⣿⣷⣼⡟⠁⠀⠀⠀⠀⠀⠀⠈⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠙⠻⢷⣤⡙⠛⠋⣠⣾⣻⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠁⠀⠀⠀⠀⠀⠀⠀⢹⣿⢿⣿⣿⡿⣿⣧⠤⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣿⡿⢁⣟⡅⠀⠀⠀⠈⠑⢦⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⡀⠀⠀⠀⠀⠀⠀⢀⣴⡿⢻⡈⠑⢻⠁⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠄⠲⠿⠗⠒⠒⠒⠒⠒⠂⠉⠉⠀⠀⠉⠢⢸⠲⡀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⡈⠑⠲⢤⡀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⣴⣶⣒⣹⣛⣳⣄⠀⠀⠀⠀⠀⠠⢿⡿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠀⠀⠀⠀⠀⣼⣿⠿⠃⠀⠀⢨⡭⢳⡀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠹⡄⠀⠤⢦⣸⣷⠇⠀⠀⠀⢀⣀⠹⡄⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⠁⢰⠃⠀⠀⢀⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠉⠓⢒⡶⢻⡿⠀⢀⡴⠚⠉⠀⠀⠁⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣆⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣕⣿⡇⠀⢸⠀⡄⢀⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⣀⡴⠋⠀⠈⢿⣡⡞⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢤⣴⡇⠀⠻⠂⣠⣶⠗⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⣚⠃⡇⢤⠸⣇⠳⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⣽⣄⣴⠛⠛⠛⠻⢕⣄⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⣀⣴⢟⡟⢩⠤⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⡦⣌⡧⣇⠈⠀⠙⠧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⣀⣀⣹⠿⠓⠀⠀⠄⠐⢢⣿⡇⣸⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⣮⡟⠵⠋⠀⠀⡄⠀⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠚⠲⢄⣀⠀⠈⠈⠳⣤⣀⠀⠀⠀⢀⣀⣠⣶⣿⠿⠁⠀⣠⣤⣤⣄⣿⡀⠀⢀⣰⠞⠋⠀⣼⡆⠊⢀⣳⠀⢠⠈⣿⡞⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡾⢋⡟⠀⣴⠃⠰⠿⢿⣠⣧⣙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠤⠔⣾⣟⣻⡟⠛⠋⠛⠛⠟⠁⢀⣤⡾⠛⢿⣿⡏⠻⣧⠊⣭⡟⠀⣼⡍⠁⢣⠀⠈⠳⡀⢰⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠀⡞⠀⡼⠁⠀⠀⠀⠀⠈⠳⢟⠲⠈⠑⠲⡤⢤⣀⣀⡀⠀⠘⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠻⣿⠈⣹⠈⠙⠀⢀⣄⣰⡿⠋⠀⠀⠀⠀⢀⡴⢁⡴⢿⣡⡞⠧⣌⣱⠼⢧⡀⠀⡇⢸⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡀⡇⠐⡇⠀⠀⠀⠀⠀⠀⢠⠀⠙⢤⡀⠀⠁⠀⠀⠀⠉⠉⠐⠒⠂⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⠀⠈⡇⡟⠀⠂⠀⣾⡿⠻⠂⠀⠀⠀⠀⠀⠀⢉⠉⠀⠀⠈⠙⢶⣖⠶⢤⣼⠅⢠⡇⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢧⣿⠀⢻⡄⠀⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡀⠀⠀⠀⠀⠉⠙⣖⠺⠲⣄⢀⣀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠝⢳⠯⠤⠧⠤⠤⠽⡒⢦⣄⠼⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠻⡍⠉⡿⢀⡾⣻⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠳⣄⠙⠠⣤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠐⠚⠃⢸⠛⡄⠀⣴⠀⠉⢉⠉⠁⠉⠉⠉⠉⠉⠉⠉⠉⠀⠈⣇⠈⡆⠀⠀⠀⣀⡜⠁⠀⢬⢳⣹⡅⠀⠀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠘⡆⣷⠿⠟⠁⠉⠙⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠈⠓⠛⠁⠀⠀⠈⠉⠓⠦⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠀⠀⠀⠀⠀⠀⠈⠒⠤⠤⠄⠀⠀⠀⣄⠀⠀⠀⠀⠸⡄⠛⡇⠀⠈⠀⠀⠀⢀⡼⡸⣿⠇⡠⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠸⡌⠀⠀⠀⠀⠀⠀⠀⠻⣟⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⢤⣨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠲⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢀⡞⢡⣯⡴⠛⠉⠉⠙⠒⢤⡀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠹⡅⠙⢆⠀⠀⠀⠀ ⠀⠀⠀⢹⠓⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠒⠒⠢⢤⣀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⣰⠋⠀⠃⠀⠀⠀⠀⠀⠀⠈⠲⣄⠀⢀⣠⠏⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠈⢣⡀⠀⠀ ⠀⠀⠀⢸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠈⠓⠒⠒⠲⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠀⠀⠀⠀⢀⡴⠋⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢳⡋⠀⠀⠀⠀⠀⢀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⢳⠀⠀ ⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠒⠒⠂⠠⠤⠤⠤⠤⠤⣤⠴⠋⢀⣄⣀⣀⢠⡾⠁⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠙⣄⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠈⣇⠀ ⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠻⠶⡶⠟⢻⠋⠋⠀⠀⠀⠀⢸⠁⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠘⣆⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡐⠀⢓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠠⠏⠀⠀⠀⠀⠀⠀⣸⠀⢠⠏⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢰⢸⡄ ⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⢠⠏⠀⠀⠀⠀⠀⣇⢠⠴⠀⠀⠀⠀⠀⠀⠀⢀⠳⡄⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣸⢘⡇ ⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⢀⡟⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⢹⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢠⠂⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡄⠀⠀⠀⠀⠀⠀⣾⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠏⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡏⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠘⡇⠀⣆⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣀⡀⠀⠹⡄⠈⢧⡀⠀⠀⠀⠀⠀⠀⠙⢧⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⢶⣻⡄⢨⡟⠁⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠉⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠀⣹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣥⣤⣤⣈⠙⡲⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠄⠀⠀⠀⠀⣀⣤⣤⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣷⡉⠻⣿⣷⣶⣶⣍⡉⠑⠢⣀⠀⠀ ⠚⠁⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⣻⣿⣿⣶⣼⣿⣿⣿⣿⣿⣶⣄⠈⠳⣄ ⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠈ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠉⠙⠯⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣧⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⣀⣄⣀⣤⣤⠀⠀⠀⠀⢨⣝⡛⠻⠿⢿⣿⣿⣿⡏⠁⠀⣹⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢉⣼⡿⠟⠋⠉⠉⠈⠁⠀⢆⠀⠀⠀⠈⠛⠶⢄⡀⠉⠉⠻⡇⢀⣾⣿⣿⣿⣿⣿⣿⡿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠫⠔⠋⠁⣀⣀⡀⠀⠀⠀⠀⠀⠈⣢⡀⠀⠀⠀⣀⡀⠈⠑⠒⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠈⠱⡄⠀⠀⣀⣀⣈⡁⡀⠀⠏⠀⣀⣀⠀⠀⠀⠃⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠀⠀⠀⠀⢀⣠⣤⣴⣾⣧⣴⡃⠉⠉⠍⠉⠙⠛⠃⣴⣿⠟⠛⢻⣿⢾⣧⣔⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⢐⣪⣶⡿⠟⠛⢋⣟⠉⠙⠀⠀⠀⠀⠀⠀⣤⡝⠚⠿⠶⠿⢥⣤⠾⠋⢹⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡄⠀⣲⡿⠛⠙⣳⣶⣞⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⠗⠦⠤⣶⣤⣀⡈⠀⠀⠀⢿⣿⣿⡟⢻⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⠛⠛⣲⠿⠇⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿ ⠀⠀⣉⢿⣿⣿⣿⣿⡿⠻⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣊⣁⣈⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⡏⠙⠿⣿⣿⣿⣿ ⠀⠀⠀⠈⢿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⣇⣀⠀⠈⠻⣿⣿ ⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⢻⠃⠙⠛⢿⠻⣿⡇⠀⠀⠀⠀⠀⠀⢰⠃⠉⠉⠉⠉⠙⢿ ⠀⠀⠀⠀⠀⠈⣿⣁⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⢠⣿⣟⡏⡄⠀⠀⠀⠃⠹⣷⠀⠀⠀⠀⠀⢀⡟⠲⠦⠤⠤⠤⠤⣀ ⠀⠀⠀⠀⠀⠀⠸⣿⡁⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠸⡙⠈⠓⠙⠄⠀⠀⠀⠀⡙⠀⠀⠀⠀⢈⡟⠀⠀⠀⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⡀⠀⠘⢇⡀⢏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠙⢦⡀⡀⠀⠀⠀⢀⡴⠁⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⡄⢄⠀⠉⠒⠮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠱⡈⠑⢦⠀⡏⠀⠀⠂⢀⡴⠁⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡀⠸⣏⠈⠳⣄⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⣀⠀⠀⢣⠀⠀⢛⡇⠀⢀⡴⠋⣠⠊⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣤⡏⣇⠀⢻⣆⠀⠘⣦⡀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡈⠉⠑⡚⢲⠒⢶⡖⠒⠋⠀⠊⠁⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⣇⢸⠀⠈⠻⡇⠀⠈⠻⢄⠀⠀⠈⢿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣷⣄⣀⣘⠃⠀⠀⠿⣿⣿⣷⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠁⢸⠘⡆⠰⡀⢹⠀⠀⠀⠀⠳⠤⠤⢄⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣶⢐⣿⣿⣿⣷⣖⠉⢙⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠿⠿⠿⠿⡿⠋⠙⣿⡿⣿⠿⠧⠀⣽⣿⣟⠿⠿⣿⡛⠛⠛⠛⠛⠛⣿⠒⢻⣷⣶⣤⣆⣀⣀⣀⣀⣈⣁⣰⣤⣰⡄⢀⣀⡀⢀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣴⠟⢳⡚⠳⣾⣿⣿⣿⢯⣟⠲⣭⣛⡀⣈⡇⠀⠀⠀⠀⠀⠛⠈⠳⣿⠛⠿⢛⡿⠿⠿⠿⠿⢿⡿⠿⠷⠃⠾⠛⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⡿⠯⡏⣁⣴⡟⠛⢋⣡⠤⢤⣿⣇⠈⠁⠀⠀⠙⢮⣷⡀⢀⣀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠚⠚⠀⠷⠂⠇⠒⠒⠓⠒⠒⠂⠀⠀ ⣿⣷⣶⣶⣶⣶⣾⣶⣶⣶⣴⣾⣿⣿⣿⣿⡿⠋⠰⠀⣀⣩⠞⣠⠖⠋⠀⠀⢀⣨⣿⣀⠀⣀⠀⠀⣀⠳⢽⣧⣙⠏⠉⠉⠉⠉⠉⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣤⡞⢹⣿⣽⣿⣞⠁⣀⣀⡴⠚⣹⣿⠉⢿⣆⠹⡄⠀⠈⢣⠀⠈⠻⣆⠀⠀⠀⠀⠀⢸⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠿⠿⡿⣿⠿⠿⠿⠿⠟⠛⠻⢿⣿⠿⢦⣬⣿⣾⣿⣿⠟⠛⣿⡟⠉⣠⣴⡿⠃⠀⣼⢻⠀⢹⡄⠀⠈⢇⠀⠀⢻⡆⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⣿⣹⣿⣹⣿⠏⢠⣿⠛⢛⣿⡿⠿⠥⢤⣤⠏⠀⡇⠀⣧⠀⠀⢸⡆⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⡴⢉⣿⠛⢿⠿⢀⣾⣯⣭⣉⠉⠠⠤⠄⢠⡟⠀⣰⠁⢰⣿⠆⠀⢸⡇⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠇⣼⡇⠀⠘⢀⡘⠈⣟⣿⣿⣿⡳⣦⠀⢸⠀⢀⡟⢀⣾⣹⠀⠀⡜⠁⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣼⣷⠀⠀⣿⣧⠰⣄⣿⣇⠀⠈⠀⠀⠈⠉⠀⠀⠘⣧⡾⠀⣿⣡⠇⢀⡼⢃⠀⠀⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣿⣿⣿⣿⣿⠉⠉⢉⣉⠉⢿⣿⣇⡄⣿⢿⠳⣤⡸⡎⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⣿⣿⠁⣠⠞⢀⡜⠀⣾⣿⣿⣿⣿⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣿⣿⣿⣿⠋⡄⠀⠛⠁⠀⠈⢹⣿⣷⣜⣿⡇⠘⣧⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢃⣴⠏⣡⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⣿⣿⠻⢁⡾⣱⠇⠀⠀⠀⠀⠀⢻⡟⣿⣿⣧⡀⢸⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠿⠟⠉⠀⣿⣮⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣿⠏⠀⠈⠠⠏⠀⠀⠀⠀⠀⠀⠀⠋⢿⣿⣿⣷⣸⡇⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠛⠁⠀⠀⢀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣿⣽⣿⣿⠇⠀⠀⠈⠻⠦⣄⣀⣀⣠⣤⠶⠛⠉⠀⠀⠀⠀⠀⠀⠘⢷⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠈⠉⠻⢿⣀⡀⠀⠀⠀⠀⠈⢹⣿⣀⣁⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⢸⠀⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠾⠁⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠒⠢⠤⠄⣸⡯⠭⠽⠛⠋⠉⠀⠀⠀⠀⠉⠻⢦⣸⡧⠿⣿⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢠⣅⡤⠀⠀⠀⠈⠉⠉⠉⠉⠛⠓⠦⣄⡀⠀⠠⠜⠒⠒⠒⠢⠤⢻⣷⣤⡈⠓⢸⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣸⠋⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢦⣸⡇⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠈⢿⡷⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡙⣧⣀⣷⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠙⣿⣿⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⢧⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⣿⣟⣾⡆⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠋⠈⠙⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣻⣟⣿⣷⠀⠀⠀⠀⠀⠀⢸⡌⠓⠦⣤⣤⣤⣤⠤⠤⠖⠚⠋⠁⠀⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣤⣤⡴⠞⠋⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⡾⣿⣿⣷⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡏⠉⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣷⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⢸⣧⠀⠀⠀⠀⢸⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠉⢿⣾⣤⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⣿⣦⠀⠀⠀⢸⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢸⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⢸⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣿⣷⣽⣿⣿⡿⡏⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣸⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣽⣟⠙⠶⡇⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡇⠼⠏⢈⣶⣾⣷⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣷⡄⠙⢿⣿⣿⣛⣗⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⠿⠿⠟⠿⠟⠻⠛⢿⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⢹⡄⠀⣴⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⢹⡄⢹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⢹⣼⡄⠀⠀⠀⠀⢰⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⢼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠸⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢨⣟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠃ ⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⠀⠀⣴⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀ ⠸⣆⠀⠻⣦⡀⠀⠀⠀⣠⣤⣄⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⠾⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢧⡀⠈⠁⠀⢀⣀⣿⣿⣿⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠀⠀⠀⠀⣿⣿⣿⢹⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⢀⣀⣀⣠⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠛⠛⠋⠉⠉⠛⣷⡄ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⢀⣀⡤⣤⢤⡤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⣀⣤⣶⠿⠛⠋⠁⠁⠀⠀⠀⠉⠛⣯⣳⡀⠀⠀⠀⠀⠀⠀⢠⡿⠃ ⠀⣠⣶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡻⣿⠀⠀⠀⠀⠀⣠⡿⠃⠀ ⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠉⢹⡆⠀⠀⢸⣿⠀⠀⠀⠀⢠⡿⠁⠀⠀ ⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⠀⠀⢀⣮⠏⠀⠀⠀⠀⠘⣷⡀⠀⠀ ⠀⠙⠿⣶⣤⣀⠀⠀⠀⠀⠈⠻⢦⣤⣤⣤⡶⠟⠁⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀ ⠀⠀⠀⠀⠉⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣤⣤⣄⣀⣀⣤⡿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠈⠉⠉⠙⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⠤⠶⠶⠛⠛⠉⢹⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢰⣀⠀⠀⠀⠀⠀⠈⠹⣆⢱⡄⠀⠀⠀⠀⠀⠀⠉⢻⡄⠀⠘⢷⡀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠤⠄⠒⠒⠂⠋⠉⠉⡟⠉⠀⢰⠃⠀⠀⠀⠀⣿⣇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⠘⣆⠀⠀⠀⠀⠀⣄⢹⡄⣇⠀⠐⣦⠀⠀⠀⠀⠀⢳⡀⠀⠈⢳⡀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡏⠀⠀⠀⠀⠀⣿⣽⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⢸⡆⣿⡀⠀⠀⠀⠀⠸⣧⢻⣼⠀⠀⢻⣇⠀⠀⠀⠹⣆⢿⡀⠀⠈⢷⠀⠀⠀⠀⣿⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⡇⠀⠀⠀⠀⢠⢿⣿⡄⠀⠀⡇⢹⡄⠀⠀⠀⠀⠀⣿⡟⣧⠀⠀⠀⠀⠀⢹⣷⢿⠀⠀⢸⠸⣧⠀⠀⠀⢹⣎⢧⠀⠀⠈⣧⠀⠀⠀⠀⠀⠙⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⢠⡇⠀⠀⠀⠀⣼⠀⠹⣧⠀⠀⢻⢸⣇⠀⠀⠀⠀⠀⢹⡇⢻⡄⠀⠀⠀⠀⠀⣿⣿⡄⠀⣼⠶⣿⡄⣠⣄⡀⣿⣾⡆⠀⠀⠸⣇⠀⠀⠀⠀⠀⠸⡀⠀ ⠀⠀⠀⠀⠀⠀⢰⣟⢷⠀⢸⡇⠀⠀⠀⠀⣿⠀⠀⠸⣇⠀⢸⣼⣿⠀⠀⠀⠀⠀⣄⣷⣾⣿⡿⠟⠛⠛⠳⣿⡘⣷⢀⡿⠀⠀⠷⠇⢹⡝⢿⡜⣿⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⢠⠴ ⠀⠀⠀⠀⠀⠀⣼⣿⡸⡇⠸⡇⠀⠀⠀⠀⢻⡀⠀⠀⠹⣦⢀⣿⣿⡆⠀⠀⣀⣀⣿⣿⡏⠁⠀⠀⠀⣀⣰⣀⣽⣻⡼⠁⠀⠀⠀⠀⠈⣷⠈⠇⢻⡇⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡿⠻⢷⣽⡀⢧⠀⠀⠀⠀⢸⡿⠿⠗⠂⣿⢮⣿⡀⢿⣴⠞⠋⠉⠉⠉⠛⠠⢶⣲⡿⠿⠛⣁⣈⣬⣭⣄⣀⣀⠀⠀⠀⢸⡇⠀⠈⠃⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⡇⣠⣴⢷⣷⣸⡀⠀⣀⣀⡘⡇⠀⠀⠀⠘⣯⠛⢷⡌⢡⣤⠤⣤⣤⣆⣠⣴⡿⢋⣤⣶⣿⣿⣿⠛⠛⠛⠻⠿⣿⣶⣴⠀⣿⠀⠀⡄⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⡿⠛⠁⠀⠉⠻⣷⠋⠉⠉⠉⢿⡀⠀⠀⠀⢿⣆⡀⠙⠋⠀⠀⠀⠀⠉⣹⢏⣴⣿⣿⡿⠟⠁⣼⠀⠀⠀⠀⠀⠀⠹⣿⡟⣿⠀⢀⡇⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⡆⣿⡀⠀⠀⠀⠀⣈⣤⣤⣤⣤⣴⣧⠀⠀⠀⠈⢻⡇⠀⠀⠀⠀⠀⠀⠀⢩⣾⡿⢷⣄⣀⣀⡴⠃⠀⠀⠀⠀⠀⠀⢠⡿⠁⢸⠀⢸⠀⠀⣤⠀⠀⠘⣿⡆⠀⠀⠀⠀ ⣄⡴⠶⠶⣶⣧⢿⠀⢀⣴⣾⣿⣿⣷⣶⣶⣶⣯⣿⢷⡄⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠸⠟⠀⠀⠈⠘⠁⣀⣀⣤⠤⠤⠤⢄⣠⠞⣁⠀⢸⠀⣿⡀⠀⣻⠀⠀⠀⣿⣷⠀⠀⠀⠀ ⠉⠀⠀⠈⣿⣿⣿⣷⣿⣿⠟⠉⠉⢿⡛⠻⠿⠿⣟⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⡿⣷⠖⠻⠟⠛⠟⢋⡵⢋⡘⡳⢸⣴⣟⡇⠀⡟⠀⠀⠀⢸⣿⣇⠀⠀⠀ ⠀⠀⠀⢰⣿⡿⣿⣿⣿⡅⠀⠀⠀⠀⠙⠷⠴⠶⠋⠀⠀⠀⢘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣷⡶⢟⣠⠟⢃⡠⢂⡴⢋⣴⣯⠞⣡⣾⠏⢿⡇⢠⡇⠀⠀⠀⠀⡏⢻⡇⠀⠀ ⠀⠀⢰⠘⣿⠀⠘⢻⣿⣥⡀⠀⣀⣠⣤⣤⠤⢤⡤⠄⢀⡴⠋⠙⣆⠀⠀⠀⠀⠀⠀⠀⣠⢞⡵⡿⠋⣠⠞⠃⠀⢉⡴⠋⡰⢋⡼⣣⢞⡱⠋⠀⠈⢿⣼⠀⡄⠀⠀⠀⡇⠀⢿⣧⠀ ⠀⠀⢸⡀⢻⡆⡀⠀⢛⡯⢩⣿⠟⣉⡽⠃⣠⢞⡔⣠⢏⡤⠀⠀⠈⠂⠀⠀⠀⠀⢀⠜⠑⡋⠈⠀⠚⠁⠐⠀⣠⠞⠀⠘⣱⠛⠊⠡⡿⢰⠀⠀⠀⣰⡇⠀⡇⠀⠀⠀⡃⠀⠸⣇⣆ ⠀⠀⠘⣧⠸⣿⡇⠀⠩⢤⡾⢣⣤⡿⢥⡾⣡⢞⡴⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠈⠀⠀⠀⠀⠀⠀⠀⠘⠁⠤⣠⠞⠁⠀⠀⠐⠷⠟⠀⠀⣠⠏⠀⣰⡏⠀⠀⠀⠀⠀⠀⢻⡜ ⠀⠀⠀⣿⢰⡹⣿⡄⠀⡼⣵⣿⠋⣰⠟⡴⣫⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⣠⢾⡿⡇⠀⠀⠀⢀⠀⠀⢸⣿ ⡄⠀⠀⣿⣿⣷⣿⣧⠆⠀⡽⠃⡼⠃⢈⡽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⠴⠲⢤⣤⣀⠀⠀⠀⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⠀⣀⣴⣿⠵⠋⠁⣸⠡⡇⠀⠀⠀⠸⡀⠀⡸⢿ ⡇⠀⠀⢹⣿⣿⣟⠿⣶⡌⢠⡞⠁⠀⠞⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠋⣁⣠⣤⣤⣶⣶⣦⣌⢉⣷⣶⣶⣿⡿⠀⠀⠀⠀⠀⠰⠖⠛⠋⠉⠀⠀⠀⠰⢿⠀⡇⠀⠀⠀⠀⠁⠐⠁⠀ ⣿⡀⠀⠀⢿⣻⣿⣇⠈⠙⠿⢤⣤⡄⠀⠀⠀⠀⠀⣶⣄⣠⣾⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⣧⠀⠀⠀⡀⠀⠇⠀⠀ ⠈⣷⡀⠀⠈⢷⡻⣿⡆⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⣿⠀⠀⠀⡆⠀⠀⠄⠀ ⠀⣿⡿⣤⣀⠀⠻⣿⣿⣄⠀⠀⠀⣄⠾⡄⠀⠀⠀⠀⠀⠹⣿⣿⡿⠋⠈⠻⣿⣿⣿⠟⠉⠀⠀⠈⢿⡿⠁⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⠀⠀⠀⡇⠀⠀⠀⡀ ⣠⣿⡇⠀⠈⠓⢦⣀⡙⠻⣆⣀⠀⠙⢛⣣⡄⠀⠀⠀⠀⠀⠹⣿⡇⠀⠀⠀⢻⡿⠁⠀⠀⠀⠀⠰⢿⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⠆⠀⠀⣠⣾⣿⣿⣿⡿⣿⡇⠀⠀⣇⠀⠀⠀⢳ ⣥⣿⠁⠀⠀⣠⣿⣿⣿⣶⣶⣿⣟⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⣾⡇⠀⠀⠀⢀⢈⣷⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⡇⠈⣿⠀⣤⣿⡀⠀⠀⠀ ⣿⡁⠀⣠⡾⣿⣿⣿⣿⡿⣿⣻⡏⠓⢦⣄⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⡟⠀⠀⠀⠀⠎⠉⡼⠻⡄⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣹⣷⣶⠈⢣⣿⡾⢱⣦⡀⠀ ⠈⠙⠛⢿⣿⣶⣷⣶⣶⣶⣄⣽⣿⠀⠀⣿⣷⣤⡀⠀⠀⠀⠀⣷⠀⠀⠀⢠⣯⠀⠀⠀⠀⠀⣼⠳⣶⠟⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣀⣽⣿⣿⣿⣿⣿⠀⡾⣿⣷⣌⠻⣿⣦ ⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⠏⠀⣴⡿⣿⣿⣿⣶⣄⡀⠀⠹⡄⠀⠀⠀⠉⠀⠀⢀⣤⠞⠁⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣸⣿⣿⠏⣻⣆⠈⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣧⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣳⠀⠀⠀⠀⠀⣴⡏⠀⠀⠀⠀⠀⢀⣠⣴⣿⠿⠿⢿⣿⣿⣿⡿⠿⠟⠛⠉⠉⠁⠀⠀⢠⣿⣿⣿⠆⠉⠿⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢯⡛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡠⠀⠀⣸⡟⠀⠀⠀⢀⣠⡴⢟⣉⣤⡤⠶⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡁⠄⠁⠄⠙⢷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠉⠛⠛⠉⠙⠛⠋⠉⠳⣌⠉⠘⣧⣤⣶⡿⣛⣿⡾⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡏⠁⠄⠁⠄⠀⠄ ⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢑⣶⣄⠀⣀⢀⠀⠀⠀⠀⠀⢙⡇⠀⣿⢋⡉⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠄⠀⠀⠀⠄⠀⠄
⠀⠀⠈⢶⡀⠀⠉⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⢀⡴⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠲⣤⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⠀⠀⠀⠀⠈⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠉⡿⢀⡔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠖⠛⠋⠉⠉⠉⠉⠙⠒⠦⣄⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣦⠀⠀⠀⠀⠀⠘⣿⠶⣄⡀⠀⠀⠀⣰⠏⠀⢸⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⠀⠀⢀⣀⡤⠤⣄⣀⣀⠀⣀⡈⠙⠶⣄⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠈⠳⣄⡉⠓⠦⣄⣇⠀⠀⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠪⣝⡛⠛⢦⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⡀⠀⠉⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⢳⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠀⠀⠀⠀⠀⠀⠀⠀ ⠳⡀⠀⠀⠀⠀⠈⢧⠀⠙⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣦⣄⣀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠀⠀⠰⡼⠀⠀⠀⠀⠀⠀⠀⠀ ⠦⣝⢦⡀⠀⠀⠀⠈⣷⣄⠈⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠿⠟⠋⠉⠁⠀⠀⠀⠙⢷⣤⣄⡘⢧⠀⠀⠐⣆⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠸⡇⠀⠀⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⢦⡀⠉⠛⠒⠀⠀⠀⢻⡈⠳⣄⠀⠀⠀⠀⠀⠀⠀⣰⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠈⠙⢮⣇⠀⠀⢹⣄⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⢻⡀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠻⣦⣄⡀⠀⠀⠀⠀⠹⣄⠈⠳⢦⠀⠀⠀⠀⠘⠁⠀⣀⣤⣶⣶⣶⣶⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⡸⠙⢦⡀⠀⠀⢷⡀⠀⠀⠀⠀⠀⢳⡄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠳⢭⣗⣲⠀⠀⠀⠘⢧⣀⠀⣀⣀⣀⠀⠀⣠⣾⣿⡿⠿⠛⠛⠿⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⣇⣠⠇⠀⠀⠙⠦⣀⠈⠳⡄⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢦⡀⠀⣀⡼⠷⣬⣙⣀⣀⣠⠴⠛⠉⠉⠀⢸⣿⣿⣿⣿⡟⠀⠀⠀⠀⢀⣸⡏⠻⣿⡿⡄⠀⠀⠀⠀⠘⠋⠁⠀⠀⠀⠀⠀⠈⠙⠒⠿⢦⡀⠀⠀⠀⠀⠈⠧⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⣽⠛⢁⣠⣀⡈⢻⡽⠋⠀⣀⡤⠀⠀⠀⢤⡷⣿⡏⢸⠀⠀⠀⠀⠀⡟⠁⠙⠢⣿⡷⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⢠⡍⠲⢤⣀⠀⠀⠀⠈⢑⣶⠆⠀⠀⠀⠀ ⢼⠁⢠⠟⠀⠀⢩⠏⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⢻⡇⠸⡄⠀⠀⠀⠀⠳⣄⣠⠀⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣷⣴⡿⠁⠀⢦⡈⢻⡍⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⣾⠀⢸⣄⡀⠀⣇⣰⠋⠀⠀⠀⠀⢀⠀⠀⠀⠀⠈⠿⣆⣙⣦⣄⣀⣀⡠⠞⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠿⠛⠉⠙⠿⠯⠼⠀⠀⠀⠙⢦⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⠀⠘⣄⠉⠛⢻⠃⠀⠀⢀⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠓⠦⠤⣀⡀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠰⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⠦⣀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢳⣄⠈⠓⠒⡇⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠓⠢⠤⣇⣠⠎⠀⢠⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡖⠲⠦⢤⣤⣤⡤⠞⠙⢧⠀⡄⠀⠀⠀⠀⠀⠀⠀⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢺⡏⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⠀⠀⠀⢳⣄⣰⠶⣄⠀⠀⡇⢠⢶⡾⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠾⣇⣀⣏⡿⠋⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢣⣸⡇⠀⢰⠏⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⢀⣀⡤⡴⠧⢤⣀⣀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠔⠚⠛⠚⢿⡇⠀⣼⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡼⣧⠔⣲⠒⠛⠓⠛⠳⠤⣀⡀⠉⠓⠢⢤⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠊⣡⠤⠤⠤⢤⠀⢳⠀⡇⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠙⢷⡶⢤⣤⣤⡤⠶⠚⢉⣻⣽⡿⠯⠤⣤⣄⡀⠀⠀⠈⠙⠲⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠀ ⣰⠷⠋⠀⠀⠀⠀⠀⢀⣈⣷⣇⠀⠀⠀⢀⡏⣠⠶⠚⠉⠓⠲⢤⡀⠀⢀⡼⢳⡀⠀⠀⠙⢷⣠⠟⢷⠀⠸⣍⣨⡟⠀⠀⠀⠀⠀⠈⠙⠶⣄⡀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀ ⠋⠀⠀⠀⠀⢀⡤⠞⠉⠁⠈⠹⣆⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⡭⠷⠊⠁⢈⡇⠀⠀⠀⠀⠉⠳⠦⣇⣀⣸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀ ⠀⠀⠀⠀⣠⡟⠁⠀⠀⠀⡀⠀⠈⠧⣀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠿⠳⣿⠛⠓⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀ ⠀⠀⠀⠀⣿⠀⣠⠴⠒⡶⠃⠀⠀⠀⠈⠙⠒⠚⠃⠀⠀⠀⠀⠀⠀⠀⠐⠋⠀⠀⠈⠑⠲⢤⣀⡀⠀⠀⠀⢀⣸⣷⠒⠛⠀⠀⠀⠀⠉⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀ ⠀⠀⠀⠀⣿⡾⠁⢀⡾⠁⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠒⠚⢉⣥⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⡠⠀⠉⠁⠀⣼⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠶⠤⠶⠖⠉⡽⠀⠀⠈⠙⠲⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠇⠀⠀⠀⠀⢻⡀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠤⣀⣀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠈⠛⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⡆⠀⠀⠀⠀⠀⠙⢦⡀⠈⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣠⣴⡶⠿⠿⠿⠷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠙⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡿⠁⠀⠀⢠⣾⡆⠀⢰⣶⠀⠀⢻⣧⠀⠀⠀⠀⠀⠘⢷⣄⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⠀⠛⠁⠀⠈⠋⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠈⢻⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⡇⠀⣶⣤⣄⣀⣀⣀⣀⣀⣠⡄⢀⣿⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⡀⠸⣿⣿⣿⣿⣿⣿⣿⣿⢃⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢿⣦⣈⠛⠻⠿⠿⠟⣛⣵⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⠻⠿⠶⠾⠿⣛⣉⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢶⣶⣤⣤⣀⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣯⠻⢿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠈⠉⠙⠛⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⢀⡴⠶⣦⣴⠛⠉⠹⠏⠙⠳⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⣄⡀⠀⠀⠀⠀⠘⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠈⢻⣦⠀⠀⠀⠀⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠷⣦⣄⡀⠀⠀⠻⣿⣇⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⣴⠇⠀⠀⠀⠀⠀⢠⡶⠶⢦⣀⠀⠀⠀⠙⣦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣶⣤⣽⣿⣴⣾⣿⣿⡻⠿⢷⣿⣧⣤⣤⣄⣀⣀⣀⣀⡀⠀⢻⣧⣸⠃⠀⠀⠀⣸⡟⠛⠛⠀⠀⠀⠈⠙⢦⡀⠀⠸⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠁⠀⠀⠀⠙⣿⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠘⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⣰⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣷⣄⣀⣀⣠⣿⣟⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⢀⣾⠋⠈⠛⠳⣆⠀⠀⠀⠀⠀⠀⠘⣿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⠛⠛⠻⣿⡙⢿⣦⡀⠀⠈⠙⠛⠿⣿⣿⣿⣿⣿⡿⠀⠀⠀⢻⡁⠀⠀⠚⠳⠿⣷⡄⢀⣀⣤⠶⠦⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⣿⠀⠀⠀⠘⢿⣄⠈⠻⣦⣀⠀⠀⠀⠀⠉⠛⠿⣿⣷⠀⠀⠰⡿⣷⡀⠀⣀⣀⡀⠀⠀⠈⠉⠙⠷⢀⣿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⣿⠀⠀⠀⠀⠈⢻⣦⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⢨⡿⣦⣛⠿⠿⠆⠀⠀⠀⠀⣠⣾⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⣿⠀⠀⠀⠀⠀⠀⠻⣧⡀⠀⠈⠹⣷⣄⠀⠀⠀⢿⠀⠀⠀⠀⢰⡟⠁⠈⠛⠿⣶⣤⣤⣤⣴⠾⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠸⣿⠀⠀⠀⣸⣿⠀⠀⠀⣴⣿⠀⠀⠀⣤⠗⠀⣨⣿⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⣽⡇⠀⠀⠀⣿⠀⠀⠀⣻⣦⠀⢀⡀⢿⡏⠀⠀⠀⣻⡆⣐⣿⣹⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⣿⠀⠀⠰⣿⠋⣸⡾⢧⣾⠇⠀⠀⠸⣯⠙⣿⠛⢿⡉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⠁⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⣿⡄⠀⢠⣾⣿⣏⣷⢈⣷⠀⠀⠀⣴⠟⢴⠛⢠⡾⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⣿⡇⠀⠈⣿⣿⠛⠁⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⢹⡇⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⣼⡟⣀⣀⣤⣄⡀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⢀⣈⠻⣷⣤⡀⠀⠀⠀⢀⣀⣤⣤⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⠛⠛⠿⢷⣦⡄⠀⠀⣼⣿⡿⠟⠛⠉⠙⢿⣆⠀⣾⡇⠀⠀⠀⠀⠀⠀⠘⣿⣤⣶⡿⠿⠻⢿⣦⠙⠿⣶⣤⣶⠿⠛⠉⠉⠙⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣄⠀⠀⠈⣿⠀⠀⠛⠿⣶⣤⣤⣀⣠⣾⠟⢰⣿⣶⣶⣶⣶⣤⡀⠀⠀⠻⢿⣧⣤⣀⣀⣼⣿⠀⠀⠈⠙⢷⣄⡀⠀⠀⣀⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⢷⣾⠟⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠻⣿⣄⡀⠈⠉⣿⡄⠀⠀⠀⠈⠙⠛⠛⠛⠁⠀⠀⠀⠀⠀⠙⠛⠿⠿⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢷⣶⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠦⣄⠀⠀⠀⠀⠀⠀⠀⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢞⡡⠤⠒⠓⠒⠒⠒⠒⠢⠤⣇⠈⠢⡀⠀⠀⠀⠀⠀⣀⣀⣀⠤⠤⠔⠒⠒⠂⢇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠉⢉⡚⠯⠴⠦⠄⠀⠀⠀⠀⠀⠁⠀⠬⠖⠒⠊⠉⠉⠀⠀⠀⠀⠀⠀⠀⢀⣀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢒⠉⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠒⠉⢀⠃⠸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠊⠀⠈⢢⡱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡮⠁⢀⠃⠀⡘⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⣀⣤⠖⠊⠁⠈⢷⠀⠀⠀⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⣛⡅⠀⣠⠦⡄⢠⠁⠸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⢾⠟⠁⠀⠀⠀⢀⣀⣀⣀⢠⡴⣞⢕⣡⠤⠤⠤⠤⠤⢄⡀⠀⠀⢠⠀⠀⢀⠜⡠⠃⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⢠⣈⣡⣴⣽⣯⠑⠉⠀⢀⢤⣰⣶⣤⣤⣤⣤⣀⣀⣠⠘⠠⠤⣒⠟⠁⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠨⣿⡏⠉⢹⣿⠂⠀⠀⢰⡛⠉⠸⣿⣿⡇⠍⣿⣿⠅⠀⢗⠊⢀⣰⠾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⡘⡘⡇⠀⠰⣿⠀⠀⠀⢸⠀⠀⠈⣿⡿⠃⢰⠇⠀⠀⠀⠠⡿⠅⠃⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⠀⡇⡷⠿⠀⣴⣯⣤⠤⠒⠈⠀⠀⠀⠀⢠⠠⡸⠲⡀⠀⠀⠀⠃⠀⢄⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣄⢻⠐⡀⠀⠁⠉⠁⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⣠⠁⠀⡆⢀⠆⠀⠈⢆⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣫⠆⠙⢣⠈⡒⢤⣈⠉⠉⠁⠉⠁⠀⢀⡀⡤⠒⢍⢸⢀⡜⠹⠊⠀⠀⠀⠘⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⡙⠀⠀⠀⡗⠧⠎⠀⠉⠐⠒⢲⡶⠟⠋⠀⢀⠀⠀⠙⠋⠀⣀⠴⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣁⡀⠀⠀⠀⠀⠀⣸⠀⠀⢀⣀⠨⠭⠙⠛⠉⠀⠀⠈⠹⠶⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⡠⠟⢛⣐⡲⠟⠛⠉⠉⠉⠉⠉⠉⠓⠤⡀⠀⠀⠀⠀⠀⠀⡇⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠤⠖⠒⠋⠉⠉⠉⠉⢀⠗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡿⡀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠊⣠⢳⠇⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠇⡰⡿⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡠⠊⠀⠀⢜⠁⠛⠃⠤⠤⣀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢶⣤⡄⠀⠀⢀⣀⢀⣀⡠⠤⠊⠙⢶⣄⡤⠄⡐⠚⠈⠁⢀⣀⡀⠀⠀⠑⠢⢄⡀⠀⠈⠳⡘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡏⠙⠓⢶⠥⢴⡝⠊⠀⠀⠀⠀⠀⠈⠑⠓⠂⠈⡏⠁⠀⠀⡝⠢⡀⠀⠀⠀⠈⠐⢄⡀⠡⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡀⠀⠈⡆⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⢠⡁⠀⠈⣷⢄⠀⠀⠀⠀⠈⠐⢾⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⢰⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠘⣄⢸⡵⣄⣘⡏⠀⠉⠒⠒⠒⠒⢲⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠘⠀⠀⢸⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠰⡀⠈⠪⢷⣄⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠤⢧⣠⢾⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠙⠆⠀⠀⠑⠫⡒⠤⣤⠤⠤⠒⠒⠒⠢⠤⠤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣿⠀⠀⠀⠈⠇⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠈⠢⡈⠷⡆⠀⠀⠐⠒⢶⣶⣒⠻⠦⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠈⢢⠈⢦⡀⠀⠀⠀⠈⠙⠵⡢⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠱⡀⠙⣄⠀⠀⠀⠀⠀⠈⠪⡳⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡄⠈⢦⡀⠀⠀⠀⠀⠀⠈⢪⢦⠀ ⠀⠀⠀⠀⠀⠀⢀⡠⡴⡆⠀⠈⣽⡀⠀⢣⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠉⠀⢜⡀⠀⠀⠀⠀⠹⢧ ⠀⠀⠀⠀⣠⠞⠉⢠⠁⠁⠀⠀⠘⢇⠀⠀⠑⢄⠀⠙⡁⠀⠀⠀⠀⠀⠀⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⢢⡬⣦⠀⠀⠀⠀⠸ ⠀⠀⢀⠞⠁⠀⠀⡈⠀⡆⠀⠀⠀⠸⡀⠀⠀⠀⠷⡄⠀⠀⠀⠀⠀⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⢳⡀⠀⠀⠀⠀⠀ ⠀⢠⠋⠀⠀⠀⠀⡇⠀⡇⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠑⢖⠤⢀⣀⣀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⢣⠀⠀⠀⠀⠀ ⢠⠃⠀⠀⠀⠀⠀⠃⠀⢣⣄⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠡⡀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠸⠀⠀⠀⠀⠀ ⡞⠀⠀⠀⠀⠀⠀⢸⠀⠸⡛⣄⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⢇⠀⢣⠈⢢⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠈⢶⣆⠆⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡎⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠑⢄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⡌⠀⠀⠀⠀⠀
⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠈⠀⠈⠁⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠚⠛⠛⠛⠛⠒⠒⠓⠶⢤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠁⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⢀⣤⠀⠀⠀⠀⡶⠀⠀⢀⣀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢁⡴⠚⠁⠀⠀⠠⡀⢸⡥⠒⠉⠁⠈⠙⠳⣄⣀⠀⠀⠀⠀⠠⣤⣽⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠉⠀⢀⣀⣀⣀⡀⣁⡟⣀⣠⣄⡀⠀⠀⠀⠀⣻⡽⣶⣄⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⣤⠀⠀⣰⡯⠰⠷⠆⢻⠚⠿⠻⠿⠛⢷⡀⠀⠀⠀⠃⣿⡀⢪⣝⣶⣶⡀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⢃⠇⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠐⣆⠀⢷⢿⣧⠈⣿⣻⠏⣷⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣽⠏⣼⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣴⣿⣇⠸⣸⡹⡏⣷⣿⡆⠘⣇⠀⠀⢈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⣿⡆⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣟⣽⣿⣷⣿⡀⠳⠳⣿⣿⢿⣧⣠⣿⠀⠀⠘⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⢸⣇⠀⡿⣿⡗⠶⣤⣄⣀⠀⠀⠀⢹⣽⠏⢹⣿⣾⣿⠋⠀⠀⠈⠛⢈⠁⣿⣿⠀⠀⣿⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠈⣿⠀⠀⠙⢿⣿⣛⣥⣾⠷⠄⠀⠀⠈⠉⠉⡇⠻⠀⠀⠀⠀⠀⠀⢸⣿⢿⠟⠀⠀⡿⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠙⣆⠀⡄⠸⡏⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠁⠀⠀⠀⠀⠀⢀⣿⣿⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠹⡄⠀⠀⢳⡄⠀⠀⠀⢠⠀⠀⠁⠀⡄⠘⡧⠀⠀⠀⠀⠀⠀⢸⡿⣷⡀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠦⣤⣻⡄⢠⠀⢳⡄⠀⠀⠿⣦⣴⠊⠁⠀⠀⠀⣧⠀⠀⠀⠀⢠⠟⠀⣹⡇⠀⠀⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⢸⡆⠀⠙⢶⣀⠤⣿⠿⠶⠴⠒⣲⠏⠁⠀⠀⢀⡴⠋⢀⣴⠟⢿⡀⠀⢨⣿⡟⠒⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠸⣇⠀⠀⠀⠙⢦⡉⣳⠶⠖⠚⠁⠀⠀⠀⣰⣯⣴⡾⠛⠁⠀⠐⠛⢦⡟⠀⠀⠀⠈⠙⠲⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣸⣤⣤⣤⢤⠴⠛⠻⣄⠀⠀⠀⢀⣤⡾⠛⣻⠇⡄⠀⠀⠀⢀⣤⣾⣭⡀⠀⢀⡤⠶⠿⢿⡿⠛⠳⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠛⠉⠀⠀⠀⠀⠀⠈⠙⠂⠀⠬⠽⠛⢋⡙⣇⠀⠺⣁⣀⣃⣀⣴⠟⠉⠀⠀⠀⠈⢹⡟⠲⠶⠚⠉⠀⡀⠀⠀⠠⠤⣦⣹⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⣇⣀⡾⠁⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⢀⡗⠲⠶⠶⠶⢶⣓⣊⠀⠠⠶⠚⠛⠲⣶⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⣀⣤⣾⣟⣄⠀⠀⠀⠀⢀⣼⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠔⣚⣯⠷⠚⠋⠈⠛⠲⣶⣖⢺⣿⠋⠀⠙⢾⡓⠦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣀⠤⠤⠠⡄⢠⣄⠀⠀⠀⢀⣀⣠⡴⢶⣚⡭⠷⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣟⠶⣀⠈⠉⠉⠉⠉⠉⠁⠀⠈⠙⠒⣽⠦ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⢶⣚⠃⠀⠐⠘⠓⠻⠿⣦⠖⣺⣯⡭⠖⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠀⠈⢠⡈⠙⠶⣄⡀⠀⠀⠀⠀⠀⠀⢶⡋⠀ ⠀⠀⠀⠀⠀⠀⢀⣼⠣⠴⠚⠋⠉⠀⠀⠈⠉⠙⠒⣰⣿⢯⠗⠒⠒⠛⠉⠙⠒⠒⠀⠀⠀⠠⣤⣀⠀⠀⢠⣤⠀⠀⠀⠀⠐⠒⠒⠚⠷⠄⠀⢳⡀⠀⠀⠉⠓⠲⠤⣄⠀⠀⠀⡱⣤ ⠀⠀⠀⠀⠀⠀⣿⠀⢀⡠⠖⠒⠒⠐⠒⠒⠲⢶⠶⠋⠁⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⡞⠛⠁⠀⠀⠀⠀⠀⠀⠠⢀⣀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠟ ⠀⠀⠀⠀⠀⢸⡇⠀⠁⠀⠀⢶⣰⡶⠒⠒⠚⠉⠀⠀⠀⠀⠀⠀⠀⣷⠄⠀⠀⠀⠀⠀⢀⡴⠖⠁⠀⠀⣹⠶⠶⠦⠶⠦⠤⠄⠀⠀⠀⠀⠀⠀⠀⢼⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠁⠀⢀⡤⠚⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⢀⣾⠗⠀⠀⠀⠀⠀⠘⠳⠤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡉⠉⠙⠒⠦⠤⢀⣀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠲⢄⣀⡀⠀⠉⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠂⠀⠲⢤⡀⠀⠀⠀⠀⠘⡏⢳⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠋⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠐⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣷⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢱⠂⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⠀⠀⠀⠋⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠟⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠒⠒⠒⠒⠒⠛⢻⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⠫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠦⢤⣤⣤⣤⣤⣤⠶⠿⠛⠁⣸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠋⣿⣟⠉⣿⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣇⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣣⣤⣭⡏⢻⣿⣾⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣌⣿⣶⣶⣶⣶⣖⣶⣾⣿⣿⣿⣿⣿⣟⣺⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⣾⣿⣿⣿⣶⣶⣴⣿⣿⣿⣿⣽⣿⣿⣿⣿⠿⢿⣿⣿⣉⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣿⣿⣧⣼⣿⣿⣿⡏⠸⡇⢹⣿⣿⠿⣿⣟⣿⡀⡄⠹⣿⣮⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⣿⣷⣿⣿⡏⣿⢧⠀⣷⣾⣯⠦⣄⣠⠈⢻⣿⣼⣦⣿⣷⣿⠟⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⣿⣿⣿⣿⢿⣌⣓⣿⣧⡁⢀⣿⡿⠁⠸⡿⣿⣿⣿⣿⣿⣷⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⡿⠿⠻⠧⠞⠁⠀⠀⠐⢃⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣌⣿⡧⠀⠀⢠⠆⠀⠈⢹⣋⣿⡏⢙⣶⣾⣿⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⡿⠃⠀⠀⠀⠀⣠⣾⣿⣿⡿⣿⡿⣿⣿⠿⠷⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⢤⣀⣀⡴⠞⠉⢉⠀⠉⠀⠋⠀⠀⠉⠁⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⡾⠃⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⣜⡳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣟⡀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⢀⣀⡤⢀⣀⠈⠹⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣍⠀⠦⣄⠀⠀⢸⣿⠇⢀⠏⠠⠴⠚⠋⢁⣀⣀⣈⣙⣒⣘⠋⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣹⡀⠀⠘⠳⣄⠀⣿⣰⠟⢀⣠⣴⠿⠟⠉⠁⠀⠀⠀⠀⠉⠙⠻⢷⡶⠶⠚⠛⠛⠛⠛⠳⠶⠤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡗⡄⠀⠀⠙⠷⢿⣟⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣦⣁⠀⠀⣠⡼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡟⠀⢸⣶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣠⡟⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⣿⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠀⣸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠖⠛⣿⣤⠞⣿⡿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⢸⣿⠶⠃⠀⠀⠉⠉⠓⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠞⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠛⠛⠛⠛⠛⡛⠦⣶⣦⣴⣾⣷⢤⣶⣤⣤⣤⣤⣄⣀⣀⣤⠴⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠈⠓⠮⣍⣸⣿⡶⠋⠉⠀⠀⠀⠀⠹⣟⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣽⣇⠀⠀⠀⠀⠀⠀⠀⠈⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⢸⠿⣷⠘⢦⠀⢀⢀⡠⠶⠖⠒⠒⢾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠖⠛⠉⠀⠀⠉⠓⢦⣄⠀⣠⡏⠀⠙⣦⠈⢻⡿⠋⠀⠀⠀⠀⠀⢨⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠙⡷⠋⠀⠀⠀⠈⢳⣏⡀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⢀⡼⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⢀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢣⡀⡀⠀⠀⠀⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⠀⠀⠀⢉⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢀⡀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⡀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠿⠿⣦⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣀⡴⠛⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣯⠀⠀⣸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⢁⣼⡟⢿⣄⢸⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡥⠾⢥⣿⡁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡶⠏⠀⢠⣾⣿⣋⣙⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣇⠀⠀⠀⣼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⠉⣀⣠⣶⡿⢿⣿⣄⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣛⠻⠶⠶⠞⠻⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢙⡛⠛⢛⣛⡉⠀⠘⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⣙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⣟⣫⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣐⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁
.  +⠀ ⠀ ⠀˚⠀ ⣴⠟⠉⠉⠛⢦⡀⢀⣴⠛⠉⠈⠙⠻⣄ ⠀⠀⣼⠃⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠹⣦ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡆ ⠀⠀⠀⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃ ⠀⠀⠀⠀⠀⠻⢦⣄⠀⠀⠀⠀⠀⣠⡴⠛ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣄⠶⠋ ⠀⠀⠀+. *
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⢠⣤⣶⡒⠀⠀⠀⠀⠀⣠⣶⠋⠛⠁⠀⢀⡴⠛⠁⢀⣤⣶⠶⠒⠓⣻⠿⣿⣿⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⢀⣠⣴⡟⠋⠁⠀⠀⠀⠀⣀⣴⣿⡟⠀⠀⠀⠀⣠⠋⠀⢠⣴⠿⠋⠀⠀⣠⣾⡽⣣⢟⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⠧⡀⠀⠀⠀⠀⣠⡦⠟⡟⡟⠀⠀⠀⠀⣸⠃⠀⣴⠟⠋⠀⢀⣤⣾⣿⢋⣼⠋⣽⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠻⣷⣽⣦⡤⠾⠋⠁⠀⣰⢹⡇⠀⠀⠀⢸⠇⠀⣾⠃⢀⣠⣾⢟⣿⡟⣡⣿⡇⣰⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⡟⣾⠀⠠⠀⢠⡟⢀⡾⣡⢶⣯⢿⣿⠟⢻⡿⢋⡟⣰⡿⠁⠀⠀⠀⠀⠀⠀⡔ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⢠⢁⣿⠀⢀⠀⣾⣷⣿⢮⣿⣽⠛⠛⢁⡴⠏⢀⣿⣶⣿⠇⠀⠀⠀⠀⠀⠀⣰⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠈⢻⣆⠀⠀⠀⢸⢸⣿⠀⢸⠀⣿⡏⠙⠻⠿⡟⣷⣴⠛⠀⣠⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⡿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⢠⣻⡀⠀⠀⣸⣿⣿⠀⢸⡀⢿⣿⣄⣠⡴⠛⠉⣁⠴⣿⣿⣟⣃⡿⠁⠀⠀⠀⠀⠀⠀⣸⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠈⢿⣷⠀⠀⡇⡟⣿⠀⢸⠇⢸⡇⠙⠋⠀⠀⠀⠀⠀⡟⠩⣿⣿⠀⠀⠀⠀⠀⠀⢀⢴⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠈⢿⣇⢠⣷⣧⣿⡆⢠⠀⢸⣷⡄⠀⠀⠀⠀⢀⠚⠇⠀⢻⠋⠀⠀⠀⠀⠀⠀⢈⣾⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⢻⣷⣿⣿⣿⡇⢸⡀⠘⣧⡑⠄⠀⠙⢿⡛⠀⠨⣯⡿⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠈⠁⠙⠿⣿⠁⠸⣧⠀⣿⡿⣦⣀⠀⠀⠁⣠⣴⠞⠁⠀⠀⠀⠀⠀⠀⣸⠟⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⠤⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⢠⣿⣦⣼⡝⠈⠻⣿⣿⣿⠟⢱⠇⠀⠀⠀⠀⠀⠀⣼⣿⠈⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⡀⠀⠀⠀⠀⣠⡾⠀⣠⣿⡿⣿⣿⣷⠴⠟⠛⠛⠋⠀⡿⠀⠀⠀⠀⠀⢀⡾⠁⡿⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡄⢀⣴⣠⣶⣋⣠⠾⠛⣉⡀⠀⠀⠁⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠸⡁⣸⡇⠀⢹⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⠤⠒⠒⠒⠚⠛⢛⠛⠉⠉⠑⠒⠚⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⣱⣿⡇⠀⢸⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⠴⠒⠋⠁⠀⠀⠀⠀⢀⣠⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡇⠀⢻⣧⠀⠀ ⠀⠀⠀⣀⣤⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣽⡀⠀⠀⣠⢠⣼⣿⣿⣿⣿⡇⠀⢸⢸⠀⠀ ⠀⣴⡿⣿⡥⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⢸⠃⠀⢰⣿⣿⣿⡿⢹⡿⢸⡇⠀⢸⡼⡄⠀ ⠀⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠐⣼⣿⣿⡿⠀⣸⡆⢸⡇⠀⢸⠀⢻⡀ ⠀⡿⠀⠀⠀⠀⠀⠀⠐⠂⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⣼⣿⣿⣿⠇⢀⣿⠇⢸⡇⠀⢸⡄⠈⠇ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⢀⣾⣿⣿⣿⣿⠀⢸⣿⠀⣼⣇⠀⠘⡇⠀⠀ ⢰⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⢘⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠋⠀⣴⣿⣿⣿⣿⣿⣿⠀⢸⣿⠀⣿⡿⠀⠀⡇⠀⠀ ⠈⣏⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣁⣴⣿⣿⣿⣿⡏⣿⣿⣿⠀⢸⡏⢀⡟⣤⠀⠀⣿⠀⠀ ⠀⠙⢾⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠾⢿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⠀⢸⡇⣼⠇⢸⠀⠀⣿⠀⠀ ⠀⠀⠈⠻⢦⣀⠀⠀⠀⢀⠀⠀⣀⣤⣿⡿⠛⠷⠦⣄⣀⣀⣀⣀⣠⣤⣶⠟⠋⠉⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿⣿⠀⢸⣇⡿⠀⢺⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠛⠒⠶⣦⣴⡾⢻⣿⠋⠀⠀⠀⠀⠘⢻⣬⡉⠐⠂⠛⡶⣤⡀⠀⠀⠈⣹⣿⣿⣿⣿⣿⡟⣿⡇⣿⣿⣿⡆⢸⢻⠃⠀⢹⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡿⠀⣸⡅⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠶⠾⠷⠧⣄⣀⠀⠀⢃⣿⣿⣿⣇⢹⣿⣿⠁⣿⡟⠏⠁⡄⡘⠀⣶⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢳⡀⢹⡹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣌⢿⣿⣿⢸⣿⣿⢸⣿⡇⢀⡀⢧⡇⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⡿⣿⣿⣿⣿⢸⣿⠀⢸⡇⢸⡇⠀⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡜⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡇⢰⣿⣿⡸⠀⠀⡷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⢰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⢡⡀⠀⣿⣿⠿⣿⣿⠃⠀⠁⣿⠃⠀⠀⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⡀⠀⠀⠀⠘⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣛⢿⣿⣽⣿⣿⣿⣷⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣧⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⣤⣀⣈⣿⣿⡧⢴⣿⣿⣿⣿⠿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣇⢹⣿⣿⡟⢀⣨⣿⠙⣷⣼⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣄⣿⣿⣿⣿⣿⣿⣿⡇⠀⢿⡻⣧⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⠿⢫⡟⠉⠠⢀⠀⢀⣘⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣷⣿⣿⡿⢯⣬⣿⣾⣷⣿⣿⠏⢻⣿⣿⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣟⣿⣿⠼⣿⣿⣿⣿⣿⣭⣿⣿⣿⠿⠿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣯⡅⠼⠿⣿⣿⡿⠿⠟⠓⠈⣹⣆⢀⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣯⣾⣿⢥⡿⢳⣶⡻⠿⠄⣈⣶⠖⠋⠹⣿⣿⣿⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣇⣼⣧⢿⡟⢩⣾⣿⣟⣁⠀⠉⢰⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣷⠊⣟⠋⠹⠷⢋⠗⠉⠉⠉⠉⠙⢷⣦⣿⣿⣉⣷⣛⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⣾⢻⣾⣧⡤⣤⣀⡈⠀⠀⣀⣤⠀⠀⣸⣿⣉⣻⠋⠿⢻⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠉⠉⠻⣦⡀⠀⠀⠀⠀⠀⣴⠞⠛⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣤⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠈⣷⠀⠀⠀⢀⡾⠃⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡇⠀⠹⢦⡤⢤⣄⡀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⣾⠁⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡴⠞⠋⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⢸⡇⠀⠀⠀⠀⠀⠀⠘⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢧⣄⡀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⠇⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⠀⠀⢀⣀⣀⣀⣱⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣤⠶⠋⠀⠈⠉⠁⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠘⠳⠛⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠸⠃⠐⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠐⠀⠀⠂⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠇⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠂⠀⢀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠀⠀⠀⠊⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡟⠋⠙⣧⠀⠀⣰⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠛⠻⡧⠀⠀⢻⣄⡀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠁⠀⠀⠘⠛⠳⢦⣀⠀⠀⠀⢀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⡀⠀⣤⣤⣤⡄⠀⢹⡆⠀⠀⠀⣽⡷⣿⡋⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡁⠸⣇⡀⣀⡤⠀⢸⡇⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⢀⣠⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⠈⠛⠉⠀⣠⠞⠛⢳⡶⢤⣤⣤⣴⡶⠶⠶⠚⠛⢩⡿⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⢻⡁⠀⠀⠀⠙⠳⠶⠖⠛⠀⠀⠀⠀⣴⣋⣠⡾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⣰⣾⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣌⠙⠳⢶⡶⠶⠶⠞⣫⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡞⢻⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠒⠛⠛⠶⠶⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠉⠉⠀⠈⠳⣤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠂⠀⠀⠀⣤⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠤⠶⢤⣀⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⣼⠃⠀⡇⠀⣿⣾⢸⣾⡆⠀⠀⢀⣾⠸⢃⢀⣇⠀⢧⡀⠀⠀⢸⣿⠀⠀⠀⠀⠀⢸⣿⣿⣧⠐⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⠀⢀⡇⠀⠇⡇⢸⢹⡇⠀⠀⣼⣿⠶⠲⢻⡏⠑⠚⢿⡶⠦⢄⣿⠀⠀⠀⠀⠀⢸⣿⣿⡿⡇⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠀⣿⠀⣼⡇⠀⢀⡇⢸⣸⡇⡀⠀⣸⣿⠁⠀⡟⠇⠀⠀⠀⢻⣦⣨⡟⠀⠀⠀⠀⠀⢸⣿⣿⣿⢹⡄⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠀⢿⠀⣿⣷⠚⢺⡇⢸⣧⣧⣹⡀⠸⣿⠀⢠⠁⠀⠀⠀⠀⠀⠙⢿⡇⠀⠀⠀⠀⡇⢸⣿⣿⢸⠘⣧⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠃⠸⡇⡏⣿⠀⢸⣿⡙⣷⢻⣧⡣⡱⡿⡆⠘⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⢠⠇⣸⣿⣿⢸⡆⢸⡆⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⢠⠀⣷⣷⢿⡄⠘⢻⠀⢻⠘⢯⢳⡹⠇⠻⠀⣴⠟⣿⣿⣿⣿⣿⡿⣿⢶⠆⠀⣼⠀⣿⡇⣿⠀⡇⢸⣧⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⢸⡆⢻⡌⠈⢿⣃⣀⣀⣸⡆⠸⡄⢹⢦⡀⠀⠀⠀⡿⢿⡭⠿⣻⡿⠃⡜⠀⠀⣿⢀⣿⠁⣿⠀⡇⢸⣿⡆⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣼⡇⠈⣇⠀⣿⣦⡾⢻⣿⣿⣿⣷⠀⢠⢸⠀⠙⠂⠀⠐⠛⠛⠛⠉⢁⡆⢸⡇⠀⣼⡇⣼⣿⠀⣿⠀⡇⢸⣿⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣷⢨⡹⡀⠘⣯⠳⣴⣿⢿⡽⡏⠀⠘⡞⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⢡⡟⠀⢀⣿⠙⠻⡿⢠⡟⢰⡇⢸⣿⣾⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⡀⣿⡘⡇⢻⡀⠘⣆⠈⠫⠷⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣇⣼⠇⠀⣾⡟⠀⢀⡇⢸⡇⢸⡇⢸⣇⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⡇⢸⡇⢿⡀⢻⡘⣬⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⡏⠀⣸⣿⠁⢠⣿⠁⣿⠃⢸⡇⢸⣿⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⡇⠘⣧⠈⣧⠀⢻⡄⠻⣭⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⢻⣧⣾⡟⣿⣶⣿⡇⠀⣿⠀⣾⠡⠸⡿⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⠀⢿⡇⢿⣾⣶⢿⣦⢲⡈⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠋⢠⣿⣿⣯⣾⣿⣿⣿⠀⠀⣿⢰⡿⠀⢰⡇⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢻⠀⢸⣷⢿⣿⣖⠀⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⡿⣿⣿⡏⠀⢰⣿⣼⡇⡇⢸⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⢸⣾⠸⣿⣷⣿⣿⣾⣻⣿⣿⣿⣿⣷⣤⡄⠀⠀⠀⠀⣠⡴⢋⣽⠟⢁⣿⣿⢡⣿⣿⠀⠀⣼⣿⣿⢳⡇⢸⠃⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⣿⣇⣿⠘⢿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡏⠻⠶⠶⠛⠁⠀⠞⠁⠀⠘⣿⣇⣸⡿⣿⠀⠀⣿⣿⡟⣸⡇⡜⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠸⣿⣿⣿⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡇⠈⠀⢰⣿⣿⢡⣿⣷⡇⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⣿⣿⣿⢸⣿⣿⣿⣽⣿⣿⣿⣿⠟⠁⠀⠈⠶⠦⠀⠀⠠⠶⠆⠀⣀⠀⠈⠻⠷⣦⣁⣼⣿⡟⣾⣿⣿⠁⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠹⠿⠿⠌⠿⠿⠿⠷⠛⠋⠉⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⢀⠀⠈⠉⠛⠛⠛⠛⠛⠇⢤⣀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⡴⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠦⠤⣄⣈⠆⠀⠀⠀⠀⢠⣾⠤⠖⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠨⡷⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢦⣤⣄⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡖⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⢀⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⣀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢆⡀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⣶⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢤⡀⡇⠀⠀⠀⠀ ⠀⠀⢠⠞⠁⠀⠀⠀⣀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣧⠀⠀⠀⠀ ⠀⣠⠟⠀⠀⢀⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀ ⢠⠟⠀⠀⣤⠟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀ ⣾⠀⠀⢠⡇⠀⣽⡴⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⠀⠀⠀⠈⣷⠀ ⣿⠀⠀⢸⡆⠀⠀⠀⠀⠈⢳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡀⠀⠀⠀⠈⢻⡄⠀⠀⢸⡆ ⣿⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⢿⠀⠀⠈⡇ ⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⢤⡀⠀⠀⣼⠀⠀⠀⡅ ⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢀⡟⠀⠀⠀⡇ ⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠃⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠟⠀⠀⠀⢸⠃ ⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢿⡿⠃⠀⠀⠀⠀⠀⠀⢹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠶⠚⠀⠀⠀⠀⣰⠏⠀ ⠀⠀⠀⢸⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠾⠋⣡⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⡳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠀⠀ ⠀⠀⠀⠸⠀⠀⠙⢳⣶⠤⣄⣀⣀⣀⣀⣠⠤⠶⠚⢉⣡⡶⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡈⠳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡄⢸⡇⠉⠀⠀⠀⣤⠤⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢦⠀⠉⠛⠶⢦⣄⣀⣀⣀⣀⣀⣀⣀⡤⠶⠋⠁⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠉⢉⡿⠉⢉⡿⠋⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠗⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠀⠀⠀⠀⢸⡇⠠⠞⠁⠀⠀⠀⠀⠀⢉⠆⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⢿⡛⠫⢽⣖⠒⠲⢤⠾⠁⢀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⠀⠀⠀⠀⠀⣠⠔⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠶⢦⣄⡀⠀⠉⠓⢦⡈⠉⠑⠲⣤⡀⠉⠓⠲⣤⣀⠀⠀⢀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⣶⡄⠀⠀⠈⠲⣄⠀⠀⠙⠦⣀⠉⠳⣍⢓⢦⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠹⣟⢮⡳⡀⠀⠀⠈⠳⡄⠀⠀⠘⢧⡀⠈⠛⠳⡈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⣠⣾⠟⠁⠐⠁⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣇⠀⠀⠀⠀⠀⠀⠈⠻⣽⣿⣄⠀⠀⠀⠘⠂⠀⠀⠀⠙⢦⠀⠀⢘⠂⠀⠙⢄⡀⠀⠀⠀⠀⠀⠀ ⣠⣴⠆⠀⠀⠀⢀⣠⢾⠟⢁⠄⠀⠀⢠⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠘⢆⠀⠀⠀⠀⠀⠀⢢⡘⢮⣻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠈⠓⣄⢰⠀⠱⣄⠀⠀⠀⠀⠀ ⠛⠁⠀⢀⣠⠴⠋⣰⠏⡴⠃⠀⠀⢰⠋⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠈⢧⠀⠀⠀⠀⠀⠀⠹⣄⠳⣽⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠈⠻⣇⠀⠙⣦⡀⠀⠀⠀ ⠀⠈⠻⠯⠤⠤⡞⢁⡞⠁⠀⠀⠀⡏⠀⠀⣿⡄⠀⠀⠀⢶⣀⠀⣆⡀⠀⢀⠃⠐⠒⠀⠳⡄⠀⡀⢀⣀⣀⣈⣳⡘⢾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣦⣀⠀⠈⠀⠀⡇⢳⡄⠀⠀ ⠀⠀⠀⠀⠀⡼⢡⡞⠀⠀⠀⠀⣸⠁⠀⢰⡇⣇⠀⠀⠀⠠⠙⠿⣮⡷⢤⣼⠤⠤⠤⠤⠖⠛⢿⣻⡻⣄⡀⠀⠀⠉⢿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢻⠟⠦⣄⠀⠳⣄⠻⣄⠀ ⠀⠀⠀⠀⡸⢁⡎⠀⠀⠀⡤⠀⡟⠀⠀⣸⠁⣼⡆⠀⠀⠀⠀⠀⢸⡀⠀⣟⣀⡀⠀⠀⠀⣀⣀⣙⣷⣀⡙⣦⣄⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠀⠀⠘⢆⠀⠈⠃⠹⣄ ⠀⠀⠀⠠⠃⡾⠀⠀⠀⣸⠁⠀⡇⠀⠀⡏⢸⠃⢹⡀⠀⠀⠀⠀⠈⣇⢰⠏⠀⠈⡹⠋⠉⢉⣿⢉⣉⣽⣯⣭⣭⣭⣶⣤⣹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠘⣾⡆⠀⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⢸⡇⠀⠀⣧⡿⠐⠲⢷⡀⢳⡄⠀⠀⢹⡜⠀⠀⠀⠀⣖⣿⣿⡿⢟⣻⢏⡽⠉⠉⠉⠛⣿⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⢷⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⢠⣾⢷⠀⣧⡟⠁⠀⠀⠀⠱⡄⡟⢦⡀⠀⢷⡀⠀⠀⠸⢋⡟⠳⠶⠶⠒⠋⢀⣀⡠⣴⣴⣿⡋⣹⠀⠀⣤⠀⢰⠀⠀⠀⠀⢸⣼⡏⠉⠂⠀⠀⠀⠀⠀ ⠀⠒⠂⠀⠀⠀⠀⢰⠁⠀⢸⡇⣨⡟⣧⡇⢀⣴⣂⡀⠀⠙⢾⡀⠘⠲⢌⣧⠀⠀⠀⠈⠀⠀⣀⣠⢴⣺⡭⢖⣿⡿⢇⣀⡽⢿⠀⠀⢻⠀⠈⡄⠀⠀⠀⠈⡟⣧⠀⠀⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣾⡿⠁⠹⣜⣶⠋⠁⢀⡄⠀⠀⠘⡿⡀⠀⣠⢝⣹⣤⠒⡤⣶⠯⠟⢿⣯⡥⠖⠛⠉⠛⠉⠉⠀⠘⡆⠀⢸⠀⠀⡇⠀⠀⠀⠀⢃⡿⢷⡄⠀⠀⠀⡀⠀ ⠀⠀⠁⠀⠀⠀⠀⢸⡆⠀⣿⠁⠀⣠⢛⣾⣶⡶⡿⣿⣥⡀⠀⡧⣁⣼⡷⣫⠆⠀⢀⡴⣯⣝⣻⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⢸⠿⠋⠀⠀⠢⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡾⡇⢠⡟⢀⣾⣷⢿⣟⣣⠶⠚⠁⠀⣠⣼⠟⠉⠡⠞⠁⠀⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⣿⠀⠀⠀⠀⠀⠀⠀⢸⢸⡾⠋⠁⠀⢱⡀⢀ ⠀⠀⠀⠀⠀⠀⠀⡧⣷⠘⡇⢘⣾⡏⠀⠀⢀⡠⣤⠞⢻⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⣻⠀⠀⠀⠀⠀⠀⠀⢸⢸⠃⠀⠀⠀⠀⢳⠀ ⠀⠀⢸⠀⠀⣤⠀⢿⣿⣧⢳⠀⣿⣧⣤⣺⠽⣛⡥⠾⠋⠋⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠸⠀⡼⣿⠀⠀⠀⠀⠀⠀⠀⠸⠸⣆⠀⠀⠀⠀⠈⠇ ⠀⠀⠈⠀⢰⡘⡇⠈⣿⣯⠻⣤⠉⠛⢛⡥⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣸⠃⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⡟⠓⠄⠀⠀⢠⠀ ⠀⠀⠀⠀⢸⢣⢱⡀⢻⣹⡆⣿⣠⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢧⡇⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⢠⠎⠀ ⠀⠀⠀⠀⠸⠀⢣⣷⡸⡇⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡴⠖⠋⠉⢙⣲⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣯⡞⠀⠀⣿⡇⠀⠀⠀⠀⠀⡄⠀⢸⣿⣠⠆⢠⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣷⣽⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣛⢛⣉⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⣸⠏⠀⠀⠀⣿⡇⠀⠀⠀⠀⢠⠀⠀⢸⠟⠁⣰⣿⣇⡠⡀ ⠀⠀⠀⠀⠀⣆⠀⠈⡇⠙⠆⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣭⣝⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠻⢧⡀⠀⠀⠀⠁⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⢸⠀⠀⣯⣠⣾⣿⣿⣿⠞⠀ ⠀⠀⠀⠀⠄⣿⠀⠀⢻⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⢋⠀⢰⠛⢳⡀⠀⠀⠀⠀⢀⣀⣼⣿⠀⢀⠀⠀⠀⡟⠀⢐⣿⣿⣿⣿⡿⠁⠀⠀ ⠀⠈⠠⠀⠀⢸⡀⠀⢸⡇⠀⠀⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⢰⠗⠁⠀⢸⡄⠀⣧⠀⠀⠀⠀⠀⠉⢸⣾⠀⡾⠀⠀⢸⠇⠀⢸⣿⣿⣿⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡇⠀⠀⢣⠀⠀⠸⡹⣄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⢹⡄⠀⠀⠠⣿⣶⣿⠳⣄⠀⠀⠀⠀⣼⡟⢠⠃⠀⠀⡟⠀⢠⣿⣿⡿⢿⡠⠖⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠸⡀⢀⠀⡇⠹⣄⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠳⣄⠀⠀⠘⣿⠉⠉⠛⠿⣶⢤⣴⣷⠁⣸⠀⠀⢠⠃⠀⡞⢿⡿⠡⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⢇⠘⡀⢹⡄⢹⣦⡀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⢷⣄⠀⠀⢠⡀⠉⠙⢦⡀⠹⡄⠀⠀⠀⢠⣿⣿⡟⢠⠇⠀⢀⣿⠀⢰⣧⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡆⡀⠀⠘⡆⢷⠈⣿⡈⢷⠙⢦⡀⠀⠀⠀⠀⠀⠈⠻⢿⣉⠉⠉⣙⣒⡶⠬⢧⣶⣄⠁⢀⡇⠀⢀⣴⣿⣿⣿⠃⡼⠀⠀⣼⣿⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢧⢁⠀⠀⠸⡌⡆⢹⡱⡌⢧⡀⠉⠳⢤⡀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⢀⣠⠄⠈⠈⠉⠉⢁⣴⣿⣿⣿⣿⡇⢰⠃⠀⣴⣣⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⡀⠀⠘⡎⢣⠀⠀⠹⣽⡀⢇⠘⢆⠻⡄⠀⠀⠉⠳⣄⣀⠀⠀⠀⠀⠀⠘⠿⠏⠃⠀⠀⠀⢀⣴⣿⣿⣿⣿⡿⡿⢠⠎⠀⣸⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠱⡄⠀⢹⡌⣆⠀⠀⠣⢷⡘⣧⠈⠳⡘⢦⣀⡈⢦⡀⠈⠛⠲⣤⣀⠀⠀⠀⡀⢀⣀⣠⣶⣿⣿⣿⣿⣿⠛⡹⢃⠎⠀⣴⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
🧸😊
🐻‍❄️❄️🧊
🐻‍❄️🐾🍼/🦁🐾🍼
🐻🧔‍♂️🏳️‍🌈
🦁🔥
🏳️‍🌈🐻🧔‍♂️
⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣆⠀⠀⠈⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣶⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡎⠀⠀⠀⣀⡤⣖⣒⣋⣉⣉⡉⠛⠒⠲⣄⡀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣆⣀⣘⣆⣀⣀⣀⡞⠀⠀⣠⠶⢤⣀⣼⡗⠲⠚⠉⠉⠃⠈⠳⣾⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⣠⠿⠛⣋⠁⠀⠀⠀⠀⠉⠳⢦⣄⠀⠙⢦⡀⠀⠀⠀⠀⢹⣄⠀⠀⠀⠀⠀⠀⣰⣿⡿⠛⠉⠁⠀⢀⡼⠋⠉⠉⠻⣇⠀⠀⠈⢿⣇⠀⠀⣀⠀⠀⠀⠀⢹⣇⠀ ⠀⠀⠀⠀⠀⣷⠎⠁⣠⠞⠁⣠⠀⠀⠀⠀⠀⠀⠀⡘⢦⡀⠀⠙⢦⣀⠀⣀⡈⠻⠷⣦⡀⠀⢀⣼⠟⠁⠀⠀⠀⠀⠀⢻⣤⠀⠀⠀⠀⠙⠂⠀⠀⠀⠉⠉⢿⠉⢣⡀⠀⠀⠘⢿⡀ ⠀⠀⠀⢀⣾⠃⠀⠐⣁⣤⠞⠁⠀⠀⠀⠀⠀⠀⣠⠇⠀⠈⣳⣦⣤⣬⣭⣭⡽⢶⣤⣦⣳⣤⠞⠁⠀⠀⠀⣀⡤⠶⠾⠀⠙⣳⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⣄⠃⠀⠄⢀⡀⠇ ⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⢀⣠⠞⠋⢁⣠⠖⠀⠀⠀⠀⠀⠀⠈⠙⠶⣶⣶⠞⠛⠁⠀⠀⠀⠀⠀⠀⠀⠙⡶⢤⣀⡀⠀⠀⠀⠀⢠⡇⠙⢦⠀⢠⣿⣇⠀ ⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⣋⣤⣶⠟⠁⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠉⠀⠀⠉⠓⠦⣄⠀⠈⣧⠀⠀⠀⠸⠿⣿⡆ ⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡿⠛⠋⠁⣸⠃⠀⠀⣸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⡳⣄⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠈⠱⣤⡟⠀⠀⠀⠀⠀⡼⠀ ⠀⠀⡇⠙⠶⠤⠤⠤⢖⣪⡽⠿⠛⠋⢲⡀⢠⠇⠀⠀⠰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡜⢦⠀⠀⢠⠞⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡛⠒⠾⣆⠀⢀⠇⠀ ⠀⠀⡇⠀⠀⣀⡤⠞⠋⢡⠴⠂⠀⠀⢸⡇⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠊⢧⠐⠋⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢀⣀⣈⣙⣋⠀⠀ ⠀⢀⣻⡴⠚⠉⠀⠀⠀⠀⠀⠀⣀⡄⣸⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠙⠶⢤⡄⠀⠀⣴⠟⠁⣀⡴⠛⠉⠀⠀⠀⠉⠛⣗ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠚⠉⣰⡏⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⣀⣀⣀⣤⣴⣯⣥⡴⠛⠉⠁⠀⠒⠒⠶⣶⡚⠋⠉ ⠀⠀⠀⠀⠀⠀⢀⡤⠖⠉⢀⣠⣾⠉⣇⠠⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠞⠛⠛⠉⠁⢀⡠⠀⠈⠉⠓⢦⣘⡶⢤⡀⠀⠙⢷⠀⠀ ⠀⠀⢀⣤⠴⠚⣉⣤⠴⠛⠋⠁⠸⠛⡿⢧⣼⣆⠀⠀⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠄⠚⠋⢁⣀⣀⣀⣤⣬⣿⣷⡄⠙⠦⣄⠈⡆⠀ ⠀⠀⣀⣤⡶⠟⠉⠀⠀⠀⠀⠀⠀⣼⠁⠀⠈⢻⡄⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⢀⣠⡴⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠃⠀ ⠤⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠈⢷⡀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣿⣿⣿⣷⡀⠀⠀⢀⣴⠞⠁⠀⠀⠀⠀⠀⠈⢧⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⣿⣿⣿⣿⣷⡶⠚⠋⠀⠀⠀⠀⠰⠛⠁⠀⠀⠘⣆⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡇⠀⣀⡀⠀⠀⠤⠄⠀⡀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⡈⠑⢀⣤⣧⢠⠔⣮⠳⡌⢢⠀⣿⡇⠀⠀⠀⡠⡀⢲⣰⢤⢢⣖⠲⢲⣆⢲⡶⣦⢖⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⡿⠈⠀⢀⠞⠁⠀⠀⠈⢓⠻⣵⠈⠵⣿⡇⠀⠀⠀⣈⡨⡉⣅⣉⢈⠉⡀⡀⢉⠂⠀⢙⠓⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⣿⣿⣿⡇⠀⠀⡜⠀⠒⠂⢤⠀⠀⢱⠸⡀⠀⢻⡇⠀⠀⠀⠜⠿⠣⠨⠰⡍⢆⢞⣻⣹⣹⣏⡉⠋⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⢀⠛⢻⡇⠀⠈⠻⠛⡖⠅⠀⠀⠠⠒⠧⡇⠀⠈⠀⠀⠀⢠⣦⡂⢀⡤⡠⣤⠄⢤⠄⠤⢀⣤⢤⡀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⢷⣜⡀⠀⢠⠁⠀⠀⠀⠀⣆⠾⡳⣧⡇⠀⠀⡄⠀⠀⠀⠉⠁⠒⠁⠛⠙⠒⠒⠈⠈⠚⠁⠐⠢⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⢠⣿⠀⠐⡈⢆⠀⢀⡀⠐⠉⠀⠈⣽⡀⠀⠀⡦⠀⠠⡹⡻⡝⡞⢭⡗⡰⣽⣇⠉⠓⣷⣶⢲⣶⠢⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⠥⠕⠻⣀⣵⣠⡀⠀⠀⠀⠉⠀⢀⣴⣷⠁⠐⡄⡿⡄⠀⠀⠠⢬⡌⣠⣠⣀⢉⣁⣁⣉⣁⣉⡀⠁⠁⠀⠀ ⠀⠀⠀⠀⢀⠄⠀⠀⢴⠟⠃⠀⠀⠀⠀⠀⠈⠉⠓⢤⣠⡴⣞⣿⣿⢿⣂⠡⢡⢠⠇⠀⠀⠘⠘⠛⠡⠦⠧⠁⠼⠿⠮⠳⠕⡙⠀⠀⠀⠀ ⠀⠀⠀⡰⡁⠁⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡿⣇⣿⡿⣿⣏⣀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡐⠍⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠋⠉⠉⠀⠀⠀⠀⠉⠀⠆⠠⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠱⠀⠀⠀⢸⣀⠣⡀⢄⠠⠀⠄⡠⠄⣄⠠⠤⠄⠀⢎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡸⠀⠀⠀⠀⢈⢷⣰⣈⣆⠦⢍⠲⠁⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⢻⢀⡴⡪⢕⡲⠒⠐⠉⠲⠤⣀⠀⠀⠀⠀ ⡰⠈⠀⠀⠀⢀⠇⣾⠥⡃⡜⡂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢪⢲⡠⢀⢀⣠⠴⠒⡋⡟⣜⢜⣡⠠⡔⠬⡍⡭⣐⠢⢕⢆⠀⠀ ⠃⠀⠀⠀⠀⡸⢸⣿⣷⣃⣜⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡱⢖⢉⠔⡽⠽⢶⣻⠄⣞⠦⡓⠌⠓⢌⡱⢠⣃⡣⠵⣳⠀ ⠁⠀⠀⠀⣰⢣⣿⣿⡿⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⡠⡪⠖⡡⠃⠈⠈⡰⡎⣟⣮⣳⢣⡙⡄⢆⡣⢌⣹⢁⢱⠒⣽⡃ ⠀⠀⢀⠴⢡⣾⣿⢋⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢞⠉⢀⠀⠀⠀⡀⡄⡵⣱⢞⣷⣝⡳⢷⢮⡵⣸⣬⡏⢻⢝⣸⣿⠁ ⢱⠢⠍⣌⣿⡿⡑⢊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡫⠃⠀⠀⢠⢠⠳⣜⡵⣋⢷⣫⠷⣽⢻⡽⢶⣹⢷⡾⢹⡾⣯⣿⠃⠀ ⢎⠥⡙⣾⡟⢱⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠓⠀⠀⢠⡒⣎⢮⡝⣎⠶⡙⠦⠑⣈⠄⣆⢾⣱⣟⣿⡟⢸⠟⠛⠁⠀⠀ ⡎⢦⣱⡟⢀⡗⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠁⢀⠜⣦⢹⡜⢮⠱⡘⢆⡩⢔⡭⡖⣯⣽⣟⣷⠿⠋⡇⡇⠀⠀⠀⠀⠀ ⣘⡶⠋⢀⠎⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⡀⡜⣚⠴⡣⢍⢆⠣⡜⢦⣝⢮⣳⡿⠷⢛⠙⣆⠀⠀⡇⡇⠀⠀⠀⠀⠀ ⠁⣀⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡲⡏⠀⠠⣘⠴⣩⠒⣍⢢⢋⡷⣛⣯⡾⠋⠁⠀⠀⠀⠆⠘⢧⡀⡇⡇⠀⠀⢀⠠⠀ ⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⣀⢃⡇⢇⠀⡱⡌⢞⠤⡋⡔⢣⣻⡼⡿⠋⠀⠀⠀⠀⠀⠀⠈⠢⠀⠙⡇⡇⠀⠠⠀⠠⠀ ⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢺⠸⡌⢺⡱⣜⢃⡚⡠⣝⣣⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡷⣄⠀⠀⠡⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⣼⠠⠛⠖⠻⠾⢦⣅⡳⣼⣿⣯⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⡇⠘⢦⡀⢀⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⠠⠁⠂⠄⠀⡀⠈⠙⠻⣗⠳⡟⠲⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⡏⢄⠈⢳⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⡀⠀⠀⠀⠀⠀⠀⠐⠀⡀⠊⢻⠀⠀⠀⠀⠍⠢⣄⠀⠀⠀⠀⠀⠀⠇⡅⠀⠂⠀⢻⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡀⠓⠀⠀⠄⡀⠈⠀⠳⡄⠀⠀⠀⢠⠀⢣⠀⠀⠁⠀⢻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣎⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠁⠀⠀⠀⠀⡈⠀⢹⡆⠀⠀⢸⠀⢸⠀⠀⡀⠀⠸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢏⡲⣈⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠐⠈⢠⡀⠀⠀⠀⠀⠄⡁⢂⢳⠀⠀⢨⠀⢸⠀⠀⢀⠠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣏⡞⡥⣆⢈⡀⠀⠄⠠⢀⠐⢀⠠⠁⠌⣠⠂⡀⢀⠂⠌⡐⢀⠢⣽⡄⠀⠈⠓⠃⠀⠀⠀⠐⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡼⣱⡹⢶⡸⣐⡌⡐⢄⠢⢄⠂⡅⢎⣔⠇⡀⠂⠌⡐⢀⠎⣴⣹⠁⠀⠀⠀⠀⠀⠀⠀⠐⡀ ⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⣝⠲⣍⡳⣚⡝⣎⠷⣪⡝⢾⣙⢾⡲⢤⣓⡴⣠⡞⡽⣒⡟⠀⠀⠀⠀⠀⠀⠀⠠⠀⠄ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢠⡷⢫⣿⢿⣶⣱⢧⡞⣜⣣⡗⣞⠳⡍⢧⣙⢣⠞⡜⣥⢛⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀ ⠀⠀⠀⠀⠀⠈⠀⠀⠀⡐⠈⢀⠀⠀⠀⢰⣋⢗⡾⣻⡟⢿⣿⣿⠿⢿⣾⣮⣳⢭⡲⣌⢶⣉⣾⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂ ⢀⣤⠶⣤⡀⠀⠀⠀⠁⠀⠀⠂⠀⠀⠈⢴⢫⢞⡼⣿⠃⣂⠹⣿⡝⣲⠲⡜⣭⢋⡟⣫⢏⣽⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀ ⣾⢻⡋⠹⣽⣖⣲⣶⣶⣶⣖⣷⣶⣖⣾⢟⣷⣺⣽⣻⡆⢆⠡⢿⣷⢡⣛⡜⢦⢫⡜⡵⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⡀ ⠘⠿⣪⠷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠠⣜⡹⣚⣷⡟⠠⢌⠪⡐⠸⣿⣣⠞⣜⢣⡟⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⠀
⠀⠀⠀⠀⠀⠀⠀⢠⣄⡀⠉⠉⠉⠍⢻⣆⠀⠙⢦⣈⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠀⠈⠈⠁⠀⠁⠈⠀⠁⠉⠁⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⠸⣿⣦⡀⠀⠀⠀⠹⣦⡀⠀⠙⢿⡮⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣆⠹⣿⣽⣦⡀⠀⠀⠹⣷⣀⣀⣠⠷⠒⠒⠛⠲⠦⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠘⢿⣿⣿⣆⣴⣟⣯⣉⣽⣥⣴⣦⣤⣤⣤⣄⣀⠉⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⡼⠋⢨⣿⡟⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠷⣤⡤⠘⢇⣾⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⣸⣷⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣶⣧⡀⠘⣿⣽⣷⠹⡜⢿⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣤⣴⣶⣾⣿⣿⡄⠈⡞⣈⣽⡿⣟⡏⢻⡿⠛⠛⠛⠛⣿⣿⡿⡆⠀⠀⠀⠀⠐⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⢿⠀⠀⠿⠋⠹⣿⣿⠇⢸⣇⣄⣤⣤⣤⣿⣿⡁⢷⠀⠀⠀⠀⠀⣠⠤⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠟⣿⣿⣿⣿⣻⠟⠋⠀⠀⠀⠀⠘⠋⠉⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣧⣼⠀⠀⠀⢠⣾⣿⣿⣿⣿⣝⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⠀⣿⣿⣿⣧⡀⠀⣴⣏⣿⡏⠀⠀⠀⠀⠈⠱⠿⠛⢹⣯⣿⣿⣿⣿⣿⡿⠀⠀⠀⣾⣿⢿⣿⣿⣿⣿⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣷⣾⣅⣹⠋⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡜⣿⡿⠿⢿⣇⠀⠀⠀⣿⡿⠛⠉⠉⠉⢻⣤⣾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⡤⠟⠀⠛⢿⡿⠃⠀⠀⠀⠈⣿⠀⠀⣏⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣽⢿⠿⢽⣿⣶⣶⠶⠖⠒⠚⠛⠷⢦⣀⡴⠊⠀⣀⠀⠀⠀⠀⣾⠀⠀⢸⡄⠀⣀⣀⣀⣀⢸⣿⣿⡿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⢻⣷⣶⣼⠟⠃⠀⠀⠀⠀⠀⠀⠀⠉⠂⠀⢠⠇⠀⠀⠀⠀⡏⠐⠀⠀⢵⣾⣿⣿⣿⣿⡿⢹⡇⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⢶⡟⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⣿⣿⣿⣿⡿⠁⠈⡇⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⡀⠀⠀⠀⢀⡤⠖⠚⣿⠀⠀⠀⠀⢀⣠⡤⠖⠛⠡⢶⡿⠁⠀⠀⠀⢀⡏⠀⠀⠀⡀⠀⢀⠀⠀⠉⠁⠀⠀⣷⣀⣠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠅⠀⠀⠀⠀⠀⢦⠀⠀⠸⠿⢿⣦⡞⠁⠀⠀⠀⢻⡄⠀⢀⣴⣿⣇⠀⠀⢀⣰⡾⠁⠀⠀⠀⢀⡼⠁⠀⠀⠀⠸⣆⠈⢧⠀⠀⠀⠀⠀⢸⡟⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⣟⠁⠀⠀⠀⠀⠀⢙⣶⣿⣿⣿⣿⣿⡶⠟⠁⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣾⣗⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⢻⡤⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠛⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣆⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⢹⣦⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢀⣀⣀⣤⢴⡿⠤⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⢸⠇⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⡀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠈⢿⠋⠉⢻⣿⣿⣿⣿⣿⡟⠛⠛⠛⠋⠉⢉⣡⡴⠏⠁⠀⠀⠉⠉⠉⠉⠉⠉⠉⠑⠲⢄⣀⣀⣿⣤⡤⠾⠄⢤⢄⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣷⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⣼⡄⠀⠀⠉⠛⢛⣿⠗⠀⠀⢀⣠⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠘⣇⠀⠀⢹⣆⣀⣀⡤⠞⠻⣇⠀⣰⠾⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠈⠉⠁⠀⠀⠀⠈⠻⣯⠀⠈⠙⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⣀⣠⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠛⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠈⠉⠙⠲⣦⣀⣨⣶⠶⠞⠋⠉⠛⠷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠁⠀⠀⠀⣠⡶⠟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⣦⣄⡀⠀⠀⢀⣾⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣻⣶⣿⣿⣿⣿⣿⣿⣿ ⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⡶⠶⠄⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠋⢿⣧⠀⠀⠀⠀⠀⠀⠿⠶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀⠀⠈⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠙⢿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣷⠀⠀⠀⠀⠀⢸⡿⠄⠀⠀⠀⠀⠀⠈⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⢹⣿⡀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠉⠉⠛⠛⠿⠿⣶⣶⣦⣤⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⣻⡿⠂⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠿⠿⠿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⣿⠁⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠿⠋⠀⠀⠀⣿⠀⠀⠀⠀⢀⣀⣿⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠁⠀⠀⠀⠀⠀⠿⠶⠾⠟⠛⠛⠛⣿⡟⠛⠿⠿⣶⣶⣤⣄⣀⡀⠀⠀⠀⠀⠈⠙⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠈⠉⠙⠻⠿⣷⣦⣄⡀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⣀⣀⣀⣀⣤⣤⣴⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠃⣰⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣤⣶⠶⠾⠿⡟⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠁⠀⣰⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣀⣠⣤⣤⣶⠶⠾⠿⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⣠⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀ ⡛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠟⠋⢹⣿⠀⠀⠀⣀⣀⣤⡶⠆⠀⠀⠀⠀⠲⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⣶⣦⠀⢀⣤⡀⠀⠀⢰⣿⣿⣷⢀⠀ ⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣟⣠⣶⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⣿⣿⣧⣾⣿⠇⠀⠀⢸⣿⣿⣿⣿⡆ ⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠇⠀⠀⢀⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠘⢿⣿⡿⠋⠀⠀⠀⠸⣿⣿⣿⠟⠀ ⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⣿⠙⠿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠉⠀⠀⠀⠀⠘⢿⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⠀⢿⠟⠁⠀⠀ ⠀⠀⢿⣧⠀⠀⠀⠀⠸⢿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⣿⠀⠀⠈⠙⠻⠿⣶⣤⣤⣀⣀⣀⢀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡶⠾⠷⢶⣶⣾⣿⣄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠈⠛⠿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⢠⡟⠀⠀⠀⠀⠀⡀⠀⠈⠉⠉⠉⠙⠛⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⣤⣾⡿⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢋⣤⣶⡶⠿⠇⠀⠀⠉⠙⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢿⣶⣶⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⡿⠃⠀⠀⠀⢀⣾⠇⠀⠀⠀⠀⠀⠀⣠⣿⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⢠⣿⠟⠁⠀⠀⠙⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⠿⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣶⡿⠋⠀⠀⠀⠀⠀⠀⣴⠿⣿⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡿⠃⠀⢀⣿⣃⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠁⠀⠀⢀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢏⣴⣿⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡄⠀⠸⠿⣛⣀⣄⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣾⣿⡿⠙⣿⣿⣿⣤⣤⣾⣶⣿⣧⣴⠾⠋⢁⣠⣤⣎⣿⣿⠄⠁⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣶⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣀⠀⢀⣀⣠⣶⣿⣿⣿⡿⠋⠉⠀⠀⠀⠀⣾⢿⣿⡿⢿⠿⠉⢀⣠⣶⠟⠋⢘⣿⣿⣿⠰⠇⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⠛⠿⢶⣦⣤⣀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⠷⣶⣶⣤⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⣻⣤⠐⢿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠁⠀⢻⣿⣎⠀⠰⠟⣋⠀⣀⣼⣿⢻⣿⣿⡇⠀⠀⠀⠀⠀⣼⣧⡴⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠈⠙⠻⣿⣦⣄⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⡶⠿⠟⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⣠⡾⣫⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠙⠁⠀⠀⠀⠛⠋⠁⠀⣾⣿⡇⠀⠀⠀⣠⣴⠞⠛⠁⣀⣤⡶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⡄⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠋⠀⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠱⠶⠶⠶⣯⠄⠀⠀⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⣟⠛⠛⠿⠷⠶⠿⠿⠿⢃⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠷⣶⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⢀⣼⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⡀⠀⠀⢀⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⡶⠶⠶⠿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⠏⠀⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣿⡿⠁⠀⠀⠘⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⠿⠟⠛⠛⠛⠻⠿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢿⣷⣤⣤⣀⣠⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⡾⠟⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣶⣤⣄⡀⠀⠀⢀⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣾⣆⣴⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣿⡿⢛⣉⣠⣤⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣾⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠻⠷⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠛⠛⠉⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠀⠹⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⣧⡀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⠃⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⠿⠿⠿⠟⠻⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⣿⣿⣿⠿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠲⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⣶⣤⣶⣶⣶⠿⠿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠛⠋⠀⠈⠻⣿⣦⡀⠀⠀⠀⠀⠀⠛⠟⠛⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣷⣶⣼⣿⡇⠀⠀⠀⠀⠀⠀⣰⡟⠛⠛⠿⣶⣤⡀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⣀⣤⣶⠟⠋⢻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠀⠀⠀⠀⠀⠀⠘⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⡿⠇⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠈⠙⠿⣷⣤⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⣀⣤⣶⠿⠛⠁⠀⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⣤⣤⣤⣤⣤⣤⣤⣀⡈⢻⣧⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣶⣤⣤⣀⣤⡶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣤⣄⠀⠀⠀⠀⠀⣀⣠⣴⣾⡿⠛⠉⠀⠀⠀⠀⠈⠉⠛⠻⢿⣿⣄⡀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⢷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⠿⠛⠋⠉⢀⣠⣤⣶⠿⠛⠋⠁⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠰⠾⠛⠉⠀⢀⣠⣴⣾⠿⠛⠉⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⡾⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢷⣦⣄⣀⢀⣠⣤⣤⣶⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠙⢿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣄⠀⠙⢿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠀⠀⠀⠀⠀⢀⣀⣤⣼⡾⠆⠈⠛⢷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠈⠻⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠏⣀⣤⣶⣾⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠈⠙⢿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠈⠛⢿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⠿⠛⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⠿⠋⠁⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⠟⠋⠀⠀⠀⠀⢀⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⣀⣤⣶⡄⠀⠀⠀⠀⢀⣨⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣆⠀⣠⣾⠟⠁⣼⡇⠀⢀⣤⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡿⠁⠀⠠⣿⣦⣾⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣭⠁⠀⠀⠀⣈⠩⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣿⣏⢸⣵⣷⠿⠾⠻⠛⢛⡼⠛⠁⠀⣠⡴⠞⠛⠷⣭⣶⡀⠀⠀⠙⢆⠱⡄⠀⠀⠀⠀⠀⠀⠀⠰⡀⠀⠈⠢⡀⠀⠀⠱⡄⠈⠻⡖⢤⣀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡿⠟⠋⠀⠀⠀⠀⡰⠋⠀⠀⢀⣼⠙⡆⠀⠀⠀⠈⠓⣿⣆⠀⠀⠀⠳⡝⣆⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠘⣆⠀⠀⠘⣄⠀⠻⡄⠈⠑⢦⡀⠀⠈⠑⢄⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⣰⠋⠘⣧⡈⢦⠰⣄⠀⠐⢌⠻⣷⡄⠀⠀⠙⢎⢷⢤⡀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠘⢷⡀⠀⠘⢇⠀⢱⡄⠀⠀⠈⠐⠀⠀⠀⠑⠀⠀ ⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⢠⡎⠀⠀⣠⠞⠁⢧⠀⢹⣷⡌⠣⡈⠂⠀⠀⠑⢌⠻⣦⡀⠀⠈⣃⣷⡽⠲⡚⠛⠓⠒⠀⠀⠳⡄⠀⠈⢿⣄⠀⠈⣦⠀⠹⣄⡀⠀⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⢸⡄⠀⠀⢀⡏⠀⢀⡴⠁⠀⠀⠈⢧⠀⢳⠈⠢⡙⢄⠀⠀⠀⠈⠓⣌⠳⡀⠋⠁⠀⠻⣦⣌⡳⣄⠀⠀⠀⠀⠱⡀⠀⠀⢻⣆⠀⠈⢆⠀⢫⣿⢷⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⢀⠞⠀⣰⠋⠀⠀⠀⠀⠀⠈⢧⠈⢧⠀⠙⢮⡳⣄⠀⠀⠀⠀⠁⠙⢦⡀⠀⠀⢣⠈⠙⠺⣕⢦⣄⠀⠀⢱⡀⠀⠀⢿⢦⠀⠘⡆⠈⢯⢣⡙⢿⣷⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⢇⣠⠏⠀⡼⠁⠀⣀⣠⡤⠴⠶⠖⠈⢳⡈⢇⠀⠀⠙⢮⡣⡀⠀⠀⠀⠀⠀⠳⡄⠀⠈⢧⠀⠀⠈⢯⡚⠽⡶⣄⢱⠀⠀⠀⢯⣆⠀⢸⡀⠘⣧⣱⡀⠙⢿⣿⣶⡄ ⡀⠀⠀⠀⠀⠀⡸⠃⢠⢾⣤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠳⡌⣦⠀⠀⠀⠙⢮⡳⣀⠀⠀⠀⠀⠘⢆⠀⠈⣦⠀⠀⢀⣙⣦⡀⠈⠙⢷⢤⣀⠘⡞⣆⠀⢧⠀⠁⢳⡹⡀⠀⠹⣿⣧ ⢁⠀⠀⠀⢠⠏⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢮⢧⠀⠀⠀⠀⠙⠾⣧⣄⠀⠀⠀⠈⣧⡀⠘⡏⠉⠁⠀⠀⠙⢦⡀⠘⣧⠀⠀⢹⣟⢆⠸⣇⠘⡄⢷⣳⡀⠀⠘⣿ ⠈⠀⠀⠀⡟⠀⣠⢿⣯⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠫⣷⡀⠀⠀⠀⠀⠈⠛⠳⣄⡀⠈⠈⢳⡀⢱⠀⠀⠀⠀⠀⠀⠓⣄⠸⣧⠀⠀⣿⡜⡄⢻⡄⢃⠀⢧⢳⡀⠀⠘ ⠀⠐⡀⡼⠁⣰⠃⠀⣏⢻⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠙⠢⠀⠀⠻⡄⣀⣤⣤⣤⣤⣤⣤⣽⣦⣿⣧⠀⢸⡇⢳⣸⢻⡘⣆⠘⣆⢧⠀⠀ ⠀⢀⡼⠁⢠⣿⡄⠀⠸⡄⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣏⣩⡤⣤⣾⣿⡿⠿⢿⣶⣿⣿⣆⢸⡇⠘⣏⣿⣷⢿⡆⠙⡜⣧⡀ ⠈⠉⠀⢀⣞⠈⢷⡈⠀⠹⡀⠈⢷⡄⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠈⠳⠀⠀⠀⠀⠀⠀⠀⣿⢿⠿⠗⠻⠿⠿⠟⠛⣷⠀⠀⡿⠉⣿⣿⡀⡇⠀⢸⣟⢿⣿⣾⡀⢳⣹⠉ ⠀⠀⢀⠎⠘⣆⣘⣗⠤⠖⠛⢲⠀⠀⠀⠀⣀⣠⣤⣭⣤⣤⣶⠶⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠸⠷⠄⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⢻⣿⣇⡇⠀⠘⢸⡄⠙⠻⣷⠈⢯⡇ ⠀⠀⠘⠓⠒⣋⣭⡥⠤⠤⠔⣋⣤⣶⠾⠛⣉⣿⣶⣟⣻⣿⣿⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠀⠀⠀⠈⣧⣄⠀⠈⣇⠸⢳ ⠀⠀⠀⠒⠋⠁⠀⠀⣠⣴⡿⠋⣁⣤⣶⣯⣿⣾⣿⣿⣫⣤⡿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⢹⠉⠛⡶⣼⡄⠈ ⠀⠀⠀⢀⠀⠀⠐⢞⣿⣿⢶⡿⠟⠋⠽⠚⠋⠐⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⢸⠀⠀⠉⠙⣇⠀ ⠀⠀⠀⠀⠳⣀⣴⣿⣿⣏⠻⣤⠤⠔⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⢠⠀⠀⠘⠀⠀⠀⠀⠘⠀ ⠀⠀⠀⠀⠀⠙⢿⡉⠉⠉⠳⣼⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⡀⠀⠀⠄ ⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠈⠳⣵⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡀⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠀⠈⠳⡄⠑⡄⠈⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⡤⠴⠶⢴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⡀⡇⠀⠁⢀⠀⠀⠀⠀ ⠐⠀⠀⠀⢸⣦⣄⡀⠀⠀⢱⡄⣐⢦⡀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣻⣿⣿⣿⣾⣷⣏⢀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⢸⠁⡇⠀⠀⠀⢰⠀⠀⠀ ⠀⠀⠀⠀⡜⣿⣯⡑⠄⠀⠀⠙⢿⣦⡙⠄⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⢾⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠁⢸⢀⠇⢠⠀⠇⣸⠀⠀⠀ ⠀⠀⠀⠀⣇⠈⢇⠙⢤⡀⠀⠀⠀⢳⣷⣄⠀⡘⢧⠀⠀⠀⠀⠀⠀⠀⢻⣣⣾⣻⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⣰⡏⢻⠀⠀⢸⠀⣾⠀⠀⠁⢠⣶⣿ ⡀⠀⠀⠀⢹⣧⠘⣧⠀⠙⣄⡀⠀⠀⠻⣿⣧⡁⠈⣆⠀⠀⠀⠀⠀⠀⠈⢿⡿⣿⣿⣿⣿⠘⠋⠉⠉⠀⠀⠀⠉⠘⣿⡏⠀⠀⠀⠀⠀⠀⣠⣿⠀⠘⠀⡇⡎⠀⣽⠀⠀⠠⢻⣿⣿ ⣀⠀⠀⣠⠜⠋⢳⡈⣆⠀⠀⠳⡄⠀⠀⡹⣇⠱⡄⠘⡆⠀⠀⠀⠀⠀⠀⠀⢳⣿⠟⠁⠉⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⢧⢦⡀⠀⠀⠀⢰⠋⣿⡄⠀⢰⢹⠃⢀⣿⠀⠠⠀⢸⣿⡯ ⠀⠙⢶⣤⣄⣀⣠⣷⡘⢇⠀⠀⠙⢆⠀⠱⡽⡀⠘⡄⠸⡀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣸⠤⠽⠲⠤⣰⣿⠠⣿⣧⠀⡼⡏⠀⣸⢿⣷⠃⠀⣸⡿⠐ ⠀⠀⠀⠙⠻⣿⣿⡝⣳⡜⣷⣄⠀⠈⢧⠀⠡⢧⠀⠸⣆⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⣴⣿⡏⢸⠉⣿⡸⡻⠀⢀⠇⢠⢧⠆⠀⢿⡃⡀ ⠀⠀⠀⠀⠀⠀⠙⠻⢾⣷⣹⣿⣿⣦⣤⣧⠀⠸⡆⠀⠘⣌⡇⠀⠀⠀⠀⠀⠀⠀⠀⣇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢢⣾⡿⣿⠗⠲⢤⣹⡽⠁⠀⡸⠀⣸⡟⠂⣤⡾⠋⠀ ⠀⠀⠂⠀⠀⢀⡀⠀⠀⠉⠻⠟⢿⣿⡄⠉⢧⠀⢹⡀⠀⠹⣵⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣝⡿⠏⠀⣷⣄⡙⢧⡀⠐⢳⢀⣿⣷⡞⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠳⢦⣀⠀⢰⠀⠈⠙⢆⠘⡆⠈⠙⠳⣶⣿⣦⣄⣀⣀⡀⠀⢸⣿⣭⡓⠦⣄⡀⠀⠀⠀⠀⠀⣀⣀⣴⣿⡿⠏⠁⠀⠀⡟⠉⠙⠧⣌⠳⠮⣾⣿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⣄⣀⠀⠀⠈⠙⠳⠷⣤⣀⣘⣆⢳⠀⠀⠀⠀⠉⣻⣿⣭⣩⣝⣛⣻⣿⣿⣿⡄⠀⠈⠙⠿⠿⠿⢿⣿⠿⠛⠉⠀⠀⠀⠀⣨⣧⣠⣤⣴⣶⣦⡀⡾⠁⠀⠀⠀⠀⠀⠀ ⠤⠤⢤⢴⣷⣦⣌⣛⠓⠦⣤⡀⠀⠀⠈⢉⣛⣨⠤⠤⠤⠄⠐⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿⠶⣮⣖⣛⣦⣄⡈⣥⣀⠀⠀⢀⡶⠚⠋⠁⠀⠰⣶⣶⣯⣟⣿⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣤⣴⠞⠋⣡⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⠝⠷⣄⠀⠀⣻⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠶⣶⠖⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣴⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⡿⠻⠿⣿⠻⣿⣉⢻⣿⣍⣉⣻⣟⠿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠤⡀⠀⠀⠀⣠⣴⣻⣿⣿⣿⣿⣿⣿⣿⠟⣿⣏⡟⣤⣾⣿⡟⢿⣿⣻⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⢎⡙⣲⣿⣾⣿⣿⣿⠿⣿⣿⣿⣯⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠳⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣴⣟⣱⡿⠿⠛⣉⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⢿⡟⣿⣿⣿⣿⣧⡀⠳⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢫⣴⡿⠛⣳⣾⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠟⠀⢿⣿⣿⣿⣿⣏⠁⡈⠉⠿⢿⣿⣷⡠⡀⠳⡄⠀⠀ ⠀⠀⠀⠀⠈⠁⣠⣿⡟⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣿⣿⣿⣿⠈⣿⣿⣿⢸⣿⣿⢹⠉⣿⣿⣿⣿⡻⣿⣿⣿⣷⡌⢆⡈⣿⣿⣿⣿⣿⣧⠉⢷⡀⡈⠛⢿⣷⡠⠀⠘⡄⠀ ⠀⠀⠀⠀⠀⣼⣿⣟⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⢿⣿⠀⡿⣿⣿⠀⢿⣿⠸⡄⠘⣟⣿⣿⣇⠈⠘⢿⣿⣧⣴⣷⡝⣿⡿⢿⣻⣿⣷⡘⢿⣮⣼⢀⠙⢷⣄⡀⢹⠀ ⢲⣶⣦⣤⣾⣷⣻⣽⣿⣿⣿⣿⣿⣿⣿⢿⠛⣿⣿⣶⣿⣿⣿⠩⣤⣿⡆⠷⢿⣿⠦⢼⣿⠛⠉⠉⢙⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⠇⠘⣧⠐⢷⡀⠿⠿⣤⣽⣿⣿⡀⠀⠉⠙⠲⣤ ⠓⠉⢛⣷⣤⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣟⣍⡽⣿⣿⣷⠀⣿⡇⠀⢘⣣⣠⣴⣿⣶⣾⣿⣿⣿⡿⠿⢿⡟⠋⠉⣿⣿⣿⠀⡀⣹⡆⠈⠱⠡⠀⠀⠈⣹⠻⣿⠷⠶⠶⠶⠶ ⠀⢸⣼⡿⠿⠃⡟⣿⣿⣿⣿⣿⣿⣿⣿⢳⠈⣿⣿⣿⠁⢹⣿⣯⣴⣿⣷⣿⣿⣿⠿⠛⠛⠋⠉⠉⢁⣿⠀⢠⡬⠛⠀⠀⡟⠛⢳⣷⣶⡏⣿⡀⠀⠀⠃⠐⡰⡀⠂⠨⢁⠤⠤⠀⠀ ⠀⠈⣿⡇⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣩⣽⣿⣿⣿⠿⠿⠛⠋⠉⠉⠈⠻⣿⠀⠀⣴⡆⠀⢰⡿⠃⢚⡿⠁⠀⠀⠀⢠⣤⣤⡿⣿⡇⠸⣇⠀⠀⠀⠀⢱⣿⡀⠘⢀⠀⠅⣘⣷ ⠀⢸⢹⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⢻⣿⡇⠀⢠⡀⠀⢰⡾⠇⠀⠀⠀⠙⠀⠀⣿⡇⠀⠸⠏⠀⢀⣀⡀⠀⠀⢀⣾⣿⠃⠀⠸⣧⠀⣻⡄⠀⠀⢠⠀⢻⣿⡄⠙⢿⣞⠛⢉ ⠀⠸⠸⣿⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠘⠿⠃⠀⠈⠁⠀⣀⣴⡇⠀⠐⣦⠀⠀⠀⣿⡇⠀⣐⣀⣠⣾⣿⣷⣶⣿⣿⣿⣿⡀⠀⣾⣿⠀⢹⣷⠀⠀⠀⠀⠫⣿⣷⠀⠀⢹⣷⡈ ⠀⠀⠀⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⡏⠉⠀⠀⣤⡤⠀⠀⠀⠀⠋⠉⣀⣀⣠⣿⣷⣤⣶⣿⣿⣿⡿⠿⠿⠿⠟⠛⠛⠛⠋⢹⣿⡇⠀⣿⣧⠀⡌⣿⣧⠀⠀⠀⠂⠘⣿⣧⠀⠀⣿⣿ ⠀⠀⠀⠘⣿⡄⣿⢹⣿⣿⣿⣿⣿⣷⡖⠀⢀⣿⣧⣤⣤⣶⣶⣶⠿⠟⠛⠛⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⣿⡇⣼⡿⢿⠀⠇⢸⣿⣆⠀⠀⠀⠀⠹⣿⡆⠀⢸⣿ ⠀⠀⠀⠀⠘⢿⣿⡿⣿⣿⡿⣿⠿⢿⣿⣿⣿⡉⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣰⡟⢰⢿⣿⣷⠃⣸⣆⣠⢸⣿⣿⡆⠃⠀⠈⡄⠹⣿⡄⠈⣿ ⠀⠀⠀⠀⠀⣰⠛⣿⣿⣿⣿⣿⣆⣺⣿⣿⣇⠙⢢⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣄⣀⠀⠀⠸⠀⠀⠀⠀⠀⢀⣿⣷⠟⣾⣯⡏⠀⠘⢩⣿⢈⣿⣿⣿⣿⣦⠀⠀⠀⠹⣧⡀⣿ ⠀⠀⠀⣀⡾⠃⠐⣷⣿⣿⣧⠈⢹⣿⡄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢲⣎⣩⣤⣴⣶⣿⣿⣿⣷⣶⠃⠀⠀⣀⣠⡾⠋⠁⢠⣿⡞⢠⣦⣤⣿⢘⢼⣿⣿⣿⣟⢿⠀⠀⠀⠀⠘⢿⣿ ⣤⡤⠚⠋⡴⠀⣼⡟⢿⣿⣿⣦⣤⣿⣧⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠿⠛⠉⠛⣿⡆⠀⣀⡨⠕⠃⠀⠀⣼⡿⢠⣿⡏⠀⢹⢸⣿⣿⣿⣿⣿⣼⡄⠀⠀⠀⠀⠈⢿ ⠉⠀⠀⢰⡇⣴⡿⠁⢸⣿⣸⣿⢹⣿⣿⣿⣯⣿⣦⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡿⠁⠀⣠⠶⠃⣿⡇⠈⠉⠀⠀⠀⠀⢸⣷⣣⣾⣿⣿⣶⣿⣾⣿⣿⣽⡏⣿⣿⣿⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⣾⢸⣿⠁⠀⠀⣿⡏⡇⠘⣿⣿⣿⣿⣿⣏⠙⠲⠤⠀⠀⠀⠀⠈⣿⣿⣡⠔⠋⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⣼⠉⠉⠉⠉⢹⣿⢋⡿⢻⣿⣿⣷⣼⣿⣿⣧⡀⠀⠀⠀⠀ ⠀⠀⠀⢿⡟⣿⠀⠀⠀⠸⣽⠳⠀⣿⣿⣿⣿⡿⣿⣷⡀⠘⢀⣤⡤⠴⠒⠚⣉⡤⠐⠀⢀⣰⢟⢡⠁⠀⠀⠀⠀⣠⣾⣿⡦⣤⠀⣰⣿⣾⣼⣷⡞⢿⡟⠛⠛⠛⢹⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠘⣇⣇⢆⠀⠀⠀⢻⣧⠀⢿⣿⡟⣿⣆⣸⣿⣿⣗⠋⠀⠀⢀⣶⣾⣋⣀⣤⠴⠿⠵⢄⡠⠀⠀⢀⣠⣾⣿⡟⡿⠀⣿⠀⣿⣿⣿⣿⣿⣿⡀⠹⡀⠉⣆⠰⣿⣿⠆⠀⠀⠀ ⠀⠀⠀⠀⠹⣾⣬⠧⢤⣀⣀⠙⢧⣘⣿⡟⠃⠀⠀⠀⠀⠀⠘⠛⠛⠛⠓⠲⠤⠤⠤⢄⣀⣀⣀⣋⡤⣤⣿⣿⣿⠏⠁⢧⠀⣿⢀⣽⣿⣿⣿⣿⣿⣿⣄⠀⠀⠙⢳⣿⠏⠀⠀⠀⠀ ⠀⠀⣠⠖⠋⠁⠀⠀⠀⢀⣭⢉⣀⣩⡿⠷⠛⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⢤⣀⣀⣀⠀⠀⠀⣀⣠⣤⣿⣿⣿⠋⠀⠀⠸⠀⣿⠀⠉⣿⣿⠿⣿⣿⣿⣿⣷⡂⠀⠀⢹⣦⡀⡇⠀⠀ ⣠⠾⠁⠀⠀⠀⣀⡤⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⣀⠀⣿⡆⠀⢸⣿⠀⠹⣿⡻⣿⣿⣿⡀⠃⠀⢛⢿⣇⠀⠀ ⠉⢀⡴⠋⣱⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣶⡶⣄⡀⠀⠉⠉⠛⣫⠍⠁⠀⠀⠀⣰⠃⠀⢻⣿⣦⠀⠘⢦⡀⠈⠳⣽⣿⡿⢧⣷⠀⢸⠀⠻⠄⠀ ⠀⠉⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠜⠛⣻⡿⣙⡲⠿⠿⣭⣙⣉⠁⠀⠀⠀⠀⡼⠁⠀⠀⠀⠙⠿⣿⡶⣾⣷⣦⣤⣸⣿⣿⣿⣻⢆⣼⣤⣀⢀⡄ ⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⣈⣩⡽⠟⢉⣭⣿⣶⣦⣤⣉⡛⢦⣄⡀⠚⠁⠀⠀⠀⠀⠀⠀⠈⠙⠲⣼⣿⠛⠮⣽⣿⣧⢀⣽⣿⡿⠿⢿⣄ ⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣠⣤⣴⣶⣾⣿⢧⠤⠴⠾⠛⠛⠛⠛⠛⠛⠛⠛⠿⠿⠿⣿⡶⠶⠶⣶⣶⡦⠤⣤⣤⢤⡝⠙⣶⣶⡏⠙⠛⠃⠀⠀⠀⠀⠀⠠ ⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣅⣀⣤⠴⠟⢛⣩⠖⠋⠁⡀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠤⣉⠙⠉⢻⠭⡟⠻⣏⢈⠛⢦⣄⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣯⣝⣿⣯⣿⣻⡿⣷⣿⣴⣿⣿⣷⠾⣷⡿⣿⣿⣾⣧⠾⣧⣆⣨⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠋⠁⡿⠀⠀⢸⡄⢀⡾⠋⢹⠁⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⢀⣀⣀⡀⣼⠃⠀⠀⣧⠀⠀⠀⣿⣿⡆⠀⣾⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠈⠻⠖⠛⠋⠉⠁⠀⠀⢉⡇⠀⠀⢸⡟⢄⢀⣀⣿⣿⣧⢺⡟⠃⠸⣿⡟⠒⠤⢤⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠘⠛⠋⠉⢉⡉⠁⠀⢻⡅⠀⢠⡋⣷⠀⠀⠈⢳⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⣴⣿⣷⣥⣿⡌⣷⠀⣏⠉⠙⣆⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣠⡾⠀⠀⠀⠀⠀⠀⣼⢷⣿⣶⣿⣛⣻⡟⠀⢿⣄⠀⠙⣆⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⢠⠞⣩⡟⠀⠀⠀⠀⠀⢀⡏⠉⠉⠛⠿⢦⣉⣻⡀⠀⠙⢷⣄⠸⡆⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⢀⣯⣴⣿⠄⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠉⣿⣿⣿⡀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣀⡀⠹⡄⢀⡜⠋⠁⣿⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢻⡙⠀⠀⠀⢠⡷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣤⣀⡈⠉⠒⢧⡜⠀⠀⣠⡿⠀⠀⡀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠈⢻⠐⠒⢲⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡶⠾⠁⢀⡾⠋⠀⠀⠀⣷⡀⠀⠀⠀⠀⠀⠙⢶⣦⣤⣠⣤⠀⠀⣴⣿⣿⠀⢸⡇⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢀⣾⠀⠀⠀⠀⠀⠘⢷⣤⢤⣤⠤⠶⠛⠋⠀⠀⠀⠀⠙⠛⢿⣿⠀⠀⠈⠓⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡧⠞⠛⠛⠛⠛⠓⠶⢤⣤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⡆⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢁⣠⠤⠖⢒⣦⣤⣤⣀⠀⠁⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⣤⡀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣠⡾⢟⢁⣤⠞⠋⠁⠈⠉⠙⡿⣶⣄⠀⠙⢆⠀⠀⠀⠀⠀⠀⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠑⡝⢾⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣏⡾⠋⣀⣾⠟⠁⠀⠀⠀⠀⢀⣼⡇⠀⠙⢷⣄⠀⠱⣄⠀⠀⠀⠀⠘⣟⢿⡦⣄⠀⠀⠀⠀⠀⠀⠀⢸⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣴⣿⣿⣿⡿⣿⠹⢧⣀⣀⣀⣤⠴⢿⣿⣇⡀⠀⠈⠻⣷⡀⠘⡆⠀⠀⠀⠀⠘⠻⢧⣁⡙⠓⠤⣄⣀⣀⠴⠋⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢿⣿⣿⡟⣰⠏⡶⠀⠀⠉⢀⣀⣠⠼⠛⠉⠁⠀⠀⠀⠹⣿⡀⠁⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⣀⠀⢸⠏⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⣼⠛⣟⣠⡟⠀⣿⣀⡴⠚⠋⠁⠀⠀⠀⣠⣤⣴⣲⣶⣶⡿⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣄⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣧⣰⡇⣠⡟⠉⠀⣨⣿⠏⠀⠀⠀⠀⢀⣶⢟⣫⣸⠾⠛⠉⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣄⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡶⢿⣏⣿⣿⣿⠀⢠⡾⠋⣽⠀⠀⠀⢀⣾⠻⠤⣼⠟⠁⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣤⡾⠋⠀⣸⠿⣿⣿⣧⣴⠏⠀⠀⣿⠀⠀⣰⠟⠁⣸⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡾⠃⠀⠀⠀⡇⢠⡏⢀⡿⠁⠀⠀⠀⠙⡄⢠⠏⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣿⣥⣀⡀⠀⠀⣷⣞⣀⡞⠁⠀⠀⠀⠀⠀⢧⡟⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣶⣶⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠈⢁⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀ ⠻⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀ ⠀⠈⠻⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠉⠙⢻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⣄⡀⠀⠀⠀⠀⠀⠀⢀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠲⠲⠖⢶⣿⣿⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣷⡈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣤⣤⣴⣾⣿⣿⡿⠛⠋⡿⡻⢿⣿⣷⣦⣄⣀⣀⣀⣀⣀⣀⣤⣴⣚⣋⣁⡀⠀⠀⢀⡠⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣤⣀⣤⠶⠿⠟⠛⠛⠻⠿⠿⠿⠶⠶⠶⠶⠛⠁⠈⡙⠓⢾⣧⠤⣯⣿⣿⠿⢟⠛⠛⠛⠉⠁⠀⢀⣀⡀⠀⠀⠉⠓⢶⠋⣀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣤⣶⣛⣙⣷⣴⡟⠉⠁⠀⠈⠉⠛⠻⣯⣧⢿⠳⣄⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⠶⢲⣶⡶⠋⠉⠉⠉⠉⣓⣿⣧⣴⠚⠓⡦⠤⠤⠤⠤⢽⣷⣕⢾⣷⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢁⣼⡿⣿⣤⣤⣤⠤⢴⣒⠛⠛⠛⠛⣇⣀⡟⠒⠒⠿⣝⠿⢿⣿⣶⢽⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠟⣰⡏⠉⠓⢒⣾⡿⠋⡀⠀⠀⠀⣿⣸⠙⣧⠀⠀⠘⣦⡀⢽⣿⣇⠹⡿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡟⣸⢻⡿⣄⢠⣿⣿⠇⠀⣇⠀⣦⠀⣿⣿⡄⠘⣧⡀⠀⣸⣴⠈⣿⣿⣦⣇⡹⠷⣄⣀⣀⡀⠀⠀⠀⣀⣀⠤⠶⠶⠒⠂⠀ ⡇⡟⢸⣷⠘⣟⣿⢹⡇⠀⢿⡀⠘⣾⡏⠈⣿⣦⣹⣧⢀⣿⣿⡆⢸⣿⢿⣿⡀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠓⠓⠚⠒⠀⠀⠀ ⣿⠇⢸⣯⣳⢿⣯⠸⣿⡀⢸⣿⣤⣿⣷⡀⣹⠙⣿⣿⣿⣿⣿⡇⣼⡟⢀⠈⠻⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡁⡇⠞⣿⣿⣘⠿⣴⣿⣿⣸⣿⠈⠛⢿⣿⣿⠖⣿⣿⣿⣿⣿⣿⣿⠿⣼⠀⠀⠈⣙⣟⣲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢧⢿⡼⢿⣿⣿⡀⢿⣿⠾⢿⣿⣒⠚⠉⢿⡇⠐⠙⠙⢻⡯⠞⣾⡏⣰⠃⢳⣾⣟⠉⠠⠜⠉⠉⠓⠦⣄⡀⠀⠀⠀⠀⠀⠀ ⠋⣿⠁⣼⢹⣿⣷⣏⣿⣴⢻⣿⣿⡏⠃⠎⠀⠀⠀⠀⠀⠀⣠⢋⣿⡇⠀⣿⡿⠓⠦⠽⣶⣤⡀⠀⠈⠲⢍⠓⠶⣦⣤⣤⡄ ⠀⠀⠙⣾⣦⠿⢿⣿⣿⣆⠑⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣼⣿⣷⣱⡟⠁⠀⠀⠀⠀⠈⠑⢦⣴⠒⠊⠉⠉⠉⠉⢹⠄ ⠀⢀⣴⠋⠀⢀⡾⠻⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠂⣰⣻⠋⠈⣿⣤⣄⣀⣀⣀⠀⡀⠀⠀⠛⢦⠀⠀⠀⠀⢀⠏⢰ ⠾⠿⡆⣠⠖⠁⠀⠀⠈⢎⢳⣿⣲⢤⣀⡀⠐⠋⠉⠀⢀⠜⠁⠁⠀⢀⣿⠀⠀⠀⠘⢛⢹⣷⣄⡀⠀⠈⣗⠒⠤⣤⡾⠀⠀ ⠀⠀⠈⢛⣦⣤⢄⣀⡀⠸⣦⡇⣼⠃⠀⠉⠉⠑⠒⠚⠁⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠸⡄⠀⠉⠁⠀⢸⡀⡄⢀⡇⠀⠀ ⠀⠀⠀⠘⠋⠉⠻⡛⢿⣷⣿⣿⠃⣀⡠⠤⠖⠛⠲⠤⠤⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⡿⠀⣼⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢳⡀⢻⣿⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⢰⠃⣸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢠⣿⣰⢳⠃⠀⠀⠀ ⠀⠀⠀⣀⣀⡀⠀⣹⡇⡀⡿⠙⠻⢶⡶⠶⠶⣦⣤⣤⣀⡀⢀⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠆⠀⢨⡿⠁⢼⠀⠀⠀⠀ ⠤⠖⠋⠁⢀⣩⠿⣿⠁⢱⠇⠀⠀⠀⠈⠉⠉⠀⠀⠀⠉⠙⢟⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡆⠀⠘⣧⢤⡏⠀⠀⠀⠀ ⠀⣠⠴⠚⢹⠁⣴⠋⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡀⠀⠀⠀⠀⠒⠒⠊⠉⠉⠛⠳⡔⠛⠋⣽⠇⠀⠀⠀⠀ ⠋⠁⠀⢠⣧⡾⠃⢀⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠘⣿⠀⠀⠀⠀⠀ ⠀⣠⣠⠿⠋⠀⠀⡼⠃⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡿⠀⠀⠀⠀⠀ ⡾⠛⠁⠀⠀⠀⣼⠃⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣇⣤⣤⠤⠴⢾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⣼⡟⠀⠀⣠⡤⠖⠚⠁⣀⣤⡶⠟⠛⠉⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠋⠀⠈⠳⣄⠀⠀⠈⠙⠲⢤⣀⣀⢀⣀⣠⣶⣟⣠⣾⠟⠀⠀⠈⠁⠀⠀⢀⡾⠋⠁⠀⠀⠀⢰⣧⠀⠀⠀⠀⠀ ⠀⠀⢠⠃⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠈⣉⡉⣼⣿⣿⣷⠏⠀⠀⠀⢀⣀⠤⠔⠋⠀⠀⠀⠀⠀⢀⡟⣿⠀⠀⠀⠀⠀ ⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⠴⠚⣋⣽⣿⡿⠿⠿⡏⠀⠀⣠⠞⠉⠀⠀⠀⣠⠀⠀⠀⠀⢀⡾⠁⢸⡄⠀⠀⠀⠀ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⡟⠁⠀⢀⡸⠀⣠⠞⠁⠀⠀⠀⠀⠀⠘⣧⡘⢶⡖⠋⠀⠀⠀⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠬⠔⠒⠒⠒⠧⠾⢷⣦⡤⣤⣤⣤⠤⠖⠚⠋⠳⢤⡹⡄⠀⠀⠀⢻⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠀⠀⠀⠉⠙⠲⢤⣀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠹⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠸⣆⠀⠀⠀⣳⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⠀⠀⠘⢦⠀⠀⠀⢳⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣾⣿⣶⡦⠀⠀⠀⠀⠀⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⠶⠞⠛⣻⠿⣿⣿⣿⣭⡁⠀⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠛⠉⠁⠀⠀⣀⣤⣾⣯⡿⢟⣿⣿⣶⣦⡀⠀⠀⠀⠀⠈⢦⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⢠⠤⠀⠀⠀⣨⣏⣽⡿⢳⣿⠟⠉⠀⠀⠈⢿⣦⡀⠀⠀⠀⠈⣷⣯⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣱⠉⠀⠀⠀⠀⠀⢿⣿⣿⣧⣾⠁⠀⠀⠀⣴⣶⠀⢹⣷⣄⠀⣠⣿⡿⢋⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣄⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⣾⢣⡏⢀⠀⠀⠀⠀⢠⣾⣿⣿⡿⠃⠀⠀⠀⣸⡟⠁⠀⣿⣿⡿⠷⣿⠋⠀⠘⠋⣨⣿⣧⣶⣀⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠙⣆⠀⠀⠀⢸⠀⠀⠀⠀⣸⡏⣼⠁⠘⠄⠀⠀⠀⣨⣿⣿⣿⠇⠀⠀⠀⣰⡟⡀⣰⣼⣿⣿⡇⠀⣿⠀⠀⠀⢸⠛⢹⣿⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⠀⠀⢹⡀⠀⠀⠸⠀⠀⠀⢠⣿⣿⣿⢠⡀⠀⠀⠀⠀⣿⣿⣿⡷⠄⠀⠀⢠⣿⣷⣿⣿⣿⣿⣾⡇⢰⡍⠀⠀⠀⠈⠀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢢⡀⠀⠘⣿⡄⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⢸⡇⢿⠸⢸⠷⣿⣀⡇⢾⣿⣿⣿⠃⠀⠀⠀⣼⣿⣿⣿⣿⣿⠉⣿⢷⠸⣇⠀⣀⣀⣀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠘⢷⡄⠀⣄⣿⡆⠀⡇⠀⠀⢀⣿⠀⢸⡄⢸⠀⢸⠙⡿⢾⣿⣿⣏⠀⠀⠀⢰⣿⣿⣿⣽⣷⣿⣿⡟⢸⡄⣿⠀⠉⠉⢹⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡀⠀⠻⣦⡈⢻⣄⠸⡿⢷⣸⡇⠀⢀⣾⠛⡆⡼⢷⣸⣇⢀⠀⠀⣤⣧⣿⣿⣷⡇⠀⣼⣿⡙⣿⠛⠛⣿⣿⡇⢸⡇⣿⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣦⠀⠈⠳⣄⢹⡶⣷⠀⢻⣧⣶⣿⠋⡄⣻⡇⣬⣿⣿⣿⣇⡀⢿⣿⣆⠸⢿⣿⣾⣿⡟⣧⠀⠀⠀⢿⣿⣿⡾⠀⣿⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⣸⣿⡇⠘⠃⠘⣈⣿⣿⣿⣟⣿⣷⣿⣿⡟⠻⣿⡾⣾⣿⢻⡇⢸⡏⠻⣿⣿⣼⠇⠀⢀⣴⣿⣿⡇⠀⣿⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠉⠀⠁⢀⡴⠋⠉⠉⠉⠛⠛⠛⠻⠿⣿⣄⠀⠘⢿⣾⣿⣀⢻⣌⣷⣀⣿⣿⣿⣀⣠⣾⣿⣿⣿⡇⢠⣿⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡆⠀⣠⠋⠀⠀⠀⠀⠀⠀⣀⡤⣴⣾⣿⠋⠛⠳⠾⣿⣿⡿⠞⠛⠉⠁⠀⠈⠉⠛⠻⣿⣿⣿⣿⡇⣾⡇⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⢠⡟⠀⠀⠀⠀⠀⠀⢸⡏⣸⢫⣾⡏⢧⡀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⡿⠿⠷⣤⣄⣀⠀⠀⢨⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠈⠛⢳⢿⠁⡇⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣦⣄⠀⠉⠛⢷⣆⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢷⢀⠀⠀⠀⠀⠀⠀⠀⡏⠸⣦⡇⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣄⠀⠀⠙⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠘⣾⡇⠀⠀⠀⠀⠀⠀⢳⠀⠈⠓⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⡇⠀⢀⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⣿⣷⢀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠸⡧⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣀⣤⣀⣀⣀⣀⣀⣷⡾⢾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⢸⡎⠙⢆⠀⠀⠀⣸⠉⠁⠀⣶⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⣡⣿⣯⠉⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡄⠀⠈⣧⠀⠀⠀⠀⠀⡇⠀⠀⠀⣏⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠙⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡇⠀⠀⠘⣇⠀⠀⠀⣸⠇⠀⠀⠀⣿⠀⠀⠀⠀⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⠀⠀⠀⢸⡇⠀⠀⠿⡀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣷⠀⠀⠀⣧⡀⠀⠀⠀⠀⠀⠀⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⢠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣦⣀⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣟⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣷⢀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣺⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣤⠥⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡟⣇⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⣀⣠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠉⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⢟⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢻⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠸⣟⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣞⡽⡵⠚⠉⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⠀⠀⠀⠀⠈⠳⣟⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⣐⣦⣀⣀⣀⣀⣀⣀⣶⠟⠀⠀⠀⠀⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠈⠘⣿⣲⣶⣶⡶⠶⠶⠦⠤⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⠔⠚⠛⠉⠁⠀⠀⠀⠈⠉⠙⢻⣿⡁⠀⠀⠀⠀⠀⠘⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢦⡜⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀ ⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡽⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠜⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⢀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣾⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣹⣧⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣦⡀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠟⠉⠙⢢⡹⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⡠⠞⠉⠉⠻⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠙⢦⡉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣾⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠔⣫⠗⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠈⠦⣌⣳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣸⣿⣷⣶⣿⣀⡢⠤⣄⠀⠀⠀⠀⠀⢀⣠⠶⠾⠋⠁⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠃⣀⣀⡀⠀⠀⢀⣀⣤⣾⣿⣿⣯⣤⣽⣿⣿⣶⣤⣤⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡴⠿⠿⠛⢉⣉⠹⠿⢿⠿⡿⢛⡛⠋⠉⠀⢀⡈⡉⢉⡙⠛⠻⢿⣦⣄⠉⠉⡛⠛⠷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡟⠀⣠⣀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣄⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡟⠀⣼⣿⣿⣿⣦⣄⠙⠻⣿⣿⣿⣿⣿⣿⣿⠀⢻⣷⣦⣈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠃⢰⣿⣿⣿⣿⣿⣿⣿⣦⡍⠙⠉⣁⣠⣤⣤⣄⡀⢻⣿⣿⣿⣦⣄⣈⠙⠿⢿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⣀⣠⣴⣶⣿⣷⡄⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡏⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⠛⢿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣷⣶⣄⠛⣿⣿⣿⡿⠟⠋⣠⣴⣾⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣌⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠘⣿⠋⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⡄⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⡀⢻⣿⣿⣿⠏⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣷⡀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⠃⣸⣿⣿⠏⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⠿⠿⠛⠃⣠⣿⣿⡿⠟⠁⢀⣀⣀⡀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⡿⠋⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣷⡈⢶⣶⣿⣿⣿⣿⣦⣤⣾⣿⣿⣿⣿⣷⣀⢘⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⣀⣀⣀⠀⠉⠻⣿⣿⣿⣿⣿⣿⠟⠀⠀⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⣄⡛⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣠⣶⣿⣿⣿⣿⣿⣷⣄⠈⣿⣿⣿⣿⣿⣶⣾⣿⡟⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡟⢁⣾⡟⠿⠛⠉⢻⣿⣿⣿⣿⣧⣀⡀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠁⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⠀⣿⣿⣿⣿⣿⡁⣉⣁⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠛⢿⡿⠿⢿⣿⣿⡀⠠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡟⠀⠚⠛⣉⣉⣉⡉⠛⢿⣿⣿⣿⣿⣿⣿⡿⢿⣿⠿⢿⣿⣿⡏⣿⣿⣿⣿⣿⣧⣴⣶⣧⡀⢉⣠⣶⣿⣿⣿⣷⡀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⣶⣿⣿⣿⣿⣿⣷⣦⡀⠙⠻⢿⣿⣿⣿⣧⣌⠉⣠⣬⣍⠋⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⠿⢿⣿⣿⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣉⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠋⠉⠠⠤⣤⣴⣶⣦⣤⣤⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠠⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⠃⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⣉⣠⣤⣶⣶⣤⣤⣄⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⠛⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣴⣿⣿⣿⣿⣿⣿⣿⡟⢁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⣠⣤⡄⠸⣿⣿⣿⣿⣇⠸⣿⡏⢹⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡄⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣿⣿⣿⣿⣿⣦⣈⠁⠘⠿⣿⡇⢸⠿⠟⢉⣠⣿⣿⣿⣿⣿⣷⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣧⡄⠹⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠹⣿⠃⢰⣿⣷⣄⠘⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣰⡀⠈⠀⣿⣿⣿⣿⣄⠈⢻⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⡏⢻⣿⣿⣿⣿⣇⠹⣿⣿⣿⣿⣿⣿⣿⡿⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣰⣿⣇⠀⢰⣿⣿⣿⣿⣿⣇⠈⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣧⠘⣿⣿⣿⣿⣿⣄⠻⣿⣿⣿⣿⡿⠟⢀⠰⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣼⣿⣿⣿⢠⣿⣿⣿⣿⣿⣿⣿⣇⠈⢻⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠀⣿⣿⣿⣿⣿⣿⣿⣿⡄⢹⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣴⣾⣿⣶⡶⠂⣴⣿⣿⣿⣿⡿⠟⠉⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠈⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢀⣰⣶⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⠘⠿⢿⠿⠛⠁⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣠⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢁⣠⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⡀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣼⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢼⣿⣿⣿⣿⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⣴⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠟⣹⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⣄⣠⣤⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠚⠉⠁⠉⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠁⠀⠀⠀⠀⣼⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠁⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠋⣀⣴⠟⠀⠀⠀⠀⣠⡾⡇⠀⠀⠀⢇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢛⣠⣿⠟⡗⠀⠀⠀⣠⣾⠿⠟⠀⠀⠀⠀⢸⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡟⠯⠀⢠⠃⠀⠀⠙⠉⠉⠉⠛⠓⠒⣤⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⡄⠀⠀⠀⠀⠀⠀⢠⣷⡈⠇⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡼⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠃⠀⢸⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⠀⠀⢠⣾⡿⣧⠀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⢠⠿⠨⠿⠇⠠⠚⠁⠀⠀⢀⣀⢀⣄⣤⣶⣾⠍⠁⠀⠀⡸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡀⠀⠀⢸⣿⠀⢹⣧⠀⠀⡀⠀⢳⡀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⡟⠉⠁⠀⠀⠀⢠⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⠈⡏⠀⡀⢻⣆⠀⠛⢦⡀⠠⠀⠀⠀⠀⣼⠀⠀⠀⠀⣀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣤⠆⠀⠀⠀⢠⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠀⣿⡇⢨⡇⠈⢿⣆⠀⠀⠙⢦⣀⠀⠀⠀⡟⠀⠀⠀⠀⣿⠿⣟⣛⣛⣉⣁⣀⡀⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⡇⠀⢹⣿⣏⠓⠶⠤⠬⠽⠶⠾⠟⠶⠖⢚⢻⣿⡦⠞⠛⠛⢯⣁⠀⠀⠀⠀⣀⡴⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⡇⠀⠈⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠋⠀⠀⠀⠀⠀⢹⣦⣤⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢸⡇⠀⠧⠀⣾⠄⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢟⣀⣿⣇⠀⠐⡹⢾⣶⠿⣄⣀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⢸⡆⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠖⠒⠲⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣆⢀⣵⡿⠋⠑⠲⠯⣍⠓⠲⠶⠶⠖⠊⠁⠀⠀⢸⡇⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⠀⠙⠲⣤⡀⠀⠀⠀⠀⠀⢀⡴⠋⠀⢸⣿⣷⡿⠋⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⢀⡴⠋⡶⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⣿⠁⠀⠀⣠⠖⠛⠋⠉⠉⠉⠙⠓⢒⣒⣒⣒⣛⣀⣠⣤⣤⣽⣿⡁⠀⠀⠀⠀⠐⠢⣄⠀⢸⡆⠀⠀⣤⠖⠋⠀⢀⡇⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣇⠀⣠⣾⡷⠖⠚⠉⠉⠉⠛⠛⠿⠿⠿⢿⡿⠛⠉⠁⠀⠀⠀⠀⠉⠉⠒⠶⢤⣀⡐⠪⢽⣾⣿⣶⣿⣷⠀⠀⠀⢸⡇⠀⠀⠀⢸⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡾⠁⠹⡟⢋⡞⠁⠀⠀⠀⢀⣀⣀⣀⣤⣶⣶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠳⣶⣦⣍⣙⠻⠿⢤⣀⠀⢸⠁⠀⠀⠀⠈⠉⠉⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡞⠁⠀⠀⣹⡾⠁⠀⠀⣠⡴⠟⢛⣿⣟⣡⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⡿⣿⡿⢶⣤⣍⡙⠛⠲⣤⣀⠀⠀⠀⠀⠀⢸⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣤⣶⣿⣿⠛⠁⠀⠀⠘⠁⣤⠾⣿⣟⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣄⠀⠙⠛⠳⢦⣄⠈⠳⡄⠀⠀⢠⡏⢸⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠘⠋⣿⣿⡟⠀⠀⠀⢠⢠⠞⠁⠀⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡋⣿⣿⣝⢦⡀⠀⠀⠈⠑⢦⣳⡀⢀⣼⣧⡞⠁⠈⢷⡀⠀⠀⠀⠀ ⠀⠀⣼⠟⢻⠁⠀⠀⠀⣰⠏⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⢻⣿⣆⢹⣷⣄⠀⠀⠀⠁⣷⠿⢿⠏⠀⠀⠀⣸⣧⠀⠀⠀⠀ ⢀⡜⠁⠀⠀⠀⠀⠀⢠⡇⠰⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡄⢻⣏⠛⢦⣄⠀⠹⡆⡏⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⢀⡏⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠻⡄⠙⢷⣄⢹⠀⠀⣿⠃⠀⢀⣴⣿⣟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢟⢦⡀⠻⡞⠀⠀⣿⡶⠶⠾⣻⡟⠛⢷⡀⠀⠀⠀ ⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡽⣄⣿⠀⠀⡟⢳⠀⠀⠀⠱⡄⠀⢳⡀⠀⠀ ⠀⢀⡠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠘⡆⠀⠁⢸⡇⠀⠀⠀⠻⡀⠀⢳⡀⠀ ⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡻⣄⠀⠈⣷⠀⠀⠀⠀⠳⠀⠀⢣⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡹⣆⠀⢻⡆⠀⠀⠀⠀⠀⠀⠈⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠹⡆⢸⡇⠀⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣼⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠐⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⢿⡆⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⢿⡂⣠⣶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⢯⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣼⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀
⢀⡴⠚⠉⠙⠲⣄⠀⠀⠀⡴⠒⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡞⠀⠀⠗⠐⠆⠈⡆⠀⠀⠙⣦⠼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢳⠰⣶⣤⣤⣶⢠⠇⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠓⠮⢭⡭⠵⠋⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⡿⣿⣿⣿⣿⡝⠓⠒⠦⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢧⠈⠻⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⡄⠀⠈⠻⣿⣧⠀⠀⠀⠀⠀⢠⠟⠳⣄⠀⠀⠀⢀⢄⡠⠢⠦⢄⠀⠀ ⠀⠀⠀⠀⠙⠦⣄⡀⠙⢿⡄⠀⠀⠀⢠⠏⠀⠀⠈⢦⠀⡸⠁⠀⢀⡤⡀⠀⠱⡀ ⠀⠀⠀⠀⠀⠀⠀⠉⠓⢾⠓⠛⢯⣹⣿⣶⣶⣶⣤⣬⣾⠀⠀⡎⠉⠀⠀⠑⢄⡱ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠤⢾⢯⡉⠛⠿⣿⣿⣿⡏⠀⡜⠁⠭⣦⡀⣀⣀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢸⠀⠀⠳⡈⠢⣄⠀⠈⠛⡇⠀⠙⣄⣶⡄⠀⠉⣡⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⢸⠀⠀⠀⠱⡄⠈⢳⠀⢘⡄⠀⣺⠀⢉⠖⣲⡞⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⣼⠀⠀⠀⠀⡇⠀⢸⠀⢸⢦⡤⡯⠀⢼⢢⢿⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⡏⠀⠀⠀⢸⠁⠀⢸⠀⢺⡿⠣⠃⠀⠊⠋⠚⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠀⠀⠀⣸⢁⣀⠀⠀⡏⠀⠀⠸⡇⠀⠙⢦⡀⠀⠀⣀⣀⠀⠀⠀ ⠀⠀⠀⠘⢯⡉⠓⡄⠰⣟⣉⣉⡷⢸⣁⣀⡀⠀⢷⣟⣉⣳⠉⠲⣎⠉⠈⡇⠀⠀ ⠀⠀⠀⠀⠀⠉⠛⠁⠀⠀⠈⠉⠀⠈⠳⢤⣹⠀⠀⠈⠉⠁⠀⠀⠈⠉⠉⠀⠀⠀
🐴❓🍆
✨🐎🍆
🌸🎀🍆💦
🍆♀️♂️♂️🔞💦
If you'd like to report a bug or suggest a feature, you can provide feedback here. Here's our privacy policy. Thanks!
AI Story Generator - AI Chat - AI Image Generator Free