Emu Otori Emojis & Text

Copy & Paste Emu Otori Emojis & Symbols

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

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡤⠤⠤⢤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠛⠉⡁⠀⠀⠀⠀⠀⠀⠈⠉⠙⠲⢦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡞⠋⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⢸⡅⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠈⢳⣄⠀⠀⠀ ⠀⠀⠀⡾⠁⢀⡴⠂⠀⣠⠈⣇⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠹⡆⠀⠀ ⠀⠀⣸⡇⢀⡞⠁⢀⡼⣻⠀⠘⢆⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⣻⠀⠀ ⠀⠀⣿⡛⡱⠀⣠⡟⠋⢻⠂⠀⠀⠓⠕⣄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢸⡺⡇⠀ ⠀⠀⣿⡇⡇⣴⡿⠁⢄⡘⣆⠀⠀⠀⢸⢮⠁⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣇⡇⠀ ⠀⠀⢿⡿⣁⣏⣤⣤⣀⠹⢿⣆⢰⡀⢸⣏⡷⣄⣀⠰⡀⠀⡇⠀⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⢀⣾⣠⣿⣿⢹⣟⢿⡿⣯⡛⢿⣷⡜⡟⠯⣍⣳⣦⡱⣀⢸⠀⠀⡄⠀⠈⡄⠘⣇⠀ ⠰⠿⠟⢻⣽⡇⠘⣧⣈⣱⡏⠁⠀⠉⠙⠷⢿⢻⣿⡿⣿⢯⢸⠀⣸⣷⠀⢰⣿⣄⣻⣀ ⠀⠀⠀⠀⣿⡇⠀⠀⠉⠋⠀⠀⠀⠀⠀⠀⠘⣿⣉⣵⡿⢘⣯⣶⡟⢹⢧⣼⠋⠈⠉⠙ ⠀⠀⠀⠀⠚⠻⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢠⡿⢟⠿⣡⣼⡼⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢻⣷⣦⣄⣘⣓⠦⠴⠂⠀⠀⣀⣀⣤⣾⣿⣿⡟⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠉⠁⣹⡟⣟⣻⣿⠛⣽⡿⣿⡟⠁⠛⠏⠛⠷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⢣⢻⣿⣿⡿⣷⡁⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡟⠀⡇⠈⢯⡿⣫⠞⠀⢳⡀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡼⣇⢀⣼⡇⠀⢰⢻⠇⠀⠀⠀⣳⡨⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡟⠳⣬⡟⣼⣳⠄⢸⢸⠀⠀⢠⠤⠞⣿⡄⢘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⠞⠛⢠⡿⢤⣀⡼⡸⡄⠀⠘⢈⡠⢽⣻⣅⠼⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⣼⣽⣷⣱⣀⣀⣠⣤⣾⠛⠓⠦⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡄⠀⠙⣿⠋⠉⠀⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⣿⣆⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⡇⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣶⣶⣶⡟⢷⣤⣠⣤⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠘⠻⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⣀⣀⣀⣤⠤⢖⣒⣒⣒⣿⣭⣭⣭⣭⣝⣒⣒⣒⠢⠤⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣉⣉⠉⢉⣡⠶⠾⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠦⢭⣗⡦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢴⣯⠿⠚⠉⠀⠀⠀⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⢯⣳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣟⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠴⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡏⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣯⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠓⢻⣶⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠉⠓⢒⣶⠆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⢫⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣏⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡾⢡⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠏⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⡜⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠇⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⡸⠁⣸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡏⣰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠘⣧⠀⠀⠀⠀⠀⠀⢀⡴⣃⡜⠁⢀⡏⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣿⣷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠘⢦⡘⣦⠀⠀⠀⠠⠴⠿⢛⡟⠀⠀⣸⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⡇⠀⠀⠀⠀⠙⠺⣧⡀⠀⠀⠀⢀⡞⠀⠀⢠⠇⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣯⣤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⣠⠎⢀⣏⣤⣤⣄⣀⣀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢠⠇⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⢋⣴⠏⣠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀ ⠀⠀⣠⠞⠁⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠀⢠⠏⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⣠⠞⣴⡿⢋⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠈⢷⣄⠀ ⠖⠯⠥⠴⣺⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠘⣆⡾⠀⠒⠒⠒⠒⢧⠀⠀⠀⢀⣠⣟⣵⣾⣿⣵⡿⠋⠀⠤⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⣿⡟⠲⠤⠼⠷ ⠀⠀⠀⢀⡇⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣶⣶⣿⣷⣶⣶⣶⣶⣶⣾⣧⣀⣴⡿⠗⣭⠟⣻⣧⠟⠀⠀⣠⣤⣶⣶⣾⣶⣶⣶⣶⣶⣶⣤⣀⠘⣇⠀⠀⠀⣶⡀⠀⢿⣿⠀⠀⠀⠀ ⠀⠀⠀⢸⣤⠇⢀⣾⡆⠀⠀⠀⠀⠀⠀⣿⢹⡿⠟⠛⢋⣙⡟⠉⠙⢯⠙⣏⠁⠀⢠⠏⠴⠋⠁⠀⠀⠐⠋⢹⡿⠛⠛⣉⣹⠋⠉⠙⣯⠙⢿⣷⣿⠀⡀⠀⣿⡿⣦⡈⣿⡀⠀⠀⠀ ⠀⠀⠀⠀⢿⠛⠉⢸⡇⢠⡄⠀⠀⠀⢀⣿⣾⡇⠀⠀⢿⣿⠷⣄⣠⡞⠀⠈⢧⣠⡏⠀⠀⠀⠀⠀⠀⠀⠀⢼⡇⠀⠘⢿⡿⠂⢀⣰⡟⠀⣼⠟⢿⢀⣧⠀⣼⢁⣤⣉⡿⠃⠀⠀⠀ ⠀⠀⠀⠀⠈⢳⡀⢸⠁⣼⢳⡀⠀⠀⣿⣿⣿⣷⡀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⣿⠇⠀⠉⠀⠿⠛⠸⡆⢹⡜⣷⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢈⡏⣰⢿⣆⠹⣆⠀⠙⣎⠛⢾⠿⠶⠶⠶⠶⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠷⠶⠶⠶⠾⠋⠀⠀⠀⠀⠀⠀⣰⣿⡴⡟⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠼⠛⠁⠀⠙⣧⡈⠓⠦⣝⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢻⠀⠙⠿⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣃⣙⣦⡀⠈⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣯⣀⣘⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⣼⠟⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠤⠤⣄⣠⠤⠶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠿⡆⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢣⠶⠋⠉⠈⠑⠦⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠚⠁⠉⠙⢦⣹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⢻⡏⠒⠶⠦⠤⢄⣀⣀⣀⣀⣀⣀⣀⡤⠤⠤⠶⠒⢺⡏⠁⠀⠀⠀⠀⠀⠀⠀⢱⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠤⣤⣄⣠⡤⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⣤⣄⣠⡤⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣄⡀⠀⠀⠀ ⢰⣿⠋⠹⣷⣤⡀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⡀⢉⢿⣄⠀⠀ ⠸⣷⣤⠏⠀⣸⣿⣤⣴⠟⠛⢻⣷⠀⠀⠀⠀⠀⠀⠀⣀⠀⢀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣴⣿⣎⠁⡈⠿⣇⠀ ⠀⠙⣿⡄⡟⠁⡀⢘⡯⢀⢆⣿⠟⠀⠀⠀⠀⠀⣠⣼⣿⠿⠟⠿⢿⣿⡖⣦⣄⠀⠀⠀⠀⣿⡟⠁⠙⣿⣿⢧⠃⠶⣎⣿⡀ ⠀⠀⢹⡞⡄⢣⠟⠋⢁⢢⣿⠃⠀⠀⠀⣀⣴⠟⣛⣫⣥⣤⣠⡤⣶⣤⣅⣈⠹⢻⣦⡀⠀⠈⢿⡆⠡⣿⠏⠸⣤⣀⠰⣿⡇ ⠀⠀⠈⢿⣆⢉⠂⢬⣄⢒⣿⠀⠀⢀⣼⠏⡽⠞⢩⢑⢢⣄⣡⣐⣄⢢⢉⠛⢆⠣⣜⢻⣦⠀⢼⡧⢡⡆⠤⠽⢋⠉⣴⡿⠀ ⠀⠀⠀⠘⣷⣌⠰⠀⢙⣾⠟⠀⢀⣾⠋⡔⡱⠊⣴⣾⣿⣿⣿⣿⣿⣿⣶⡌⠢⡁⢆⠡⢻⣇⠻⣧⣃⠠⢀⠣⣌⣽⠟⠁⠀ ⠀⠀⠀⠀⠀⠻⠷⣭⡾⠿⠀⠀⣼⠇⡘⡖⢡⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠱⢈⠆⠡⣿⡄⠈⠻⢶⣧⠿⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡁⠭⡐⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠡⢊⠅⣼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠄⢣⣘⣿⣿⣿⣿⡿⠟⠛⠻⠿⣿⣿⣿⣿⣿⣀⠃⠆⣼⡟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠂⣾⣿⣿⣿⠋⡐⡈⠄⡡⠐⡈⢻⣿⣿⣿⣧⠌⣣⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡌⢿⣿⠟⣁⠂⡅⠘⢄⠡⡁⠆⢡⠚⢿⣿⣿⢈⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⣈⡝⢒⡌⠱⣈⠱⡈⣴⠈⡜⢡⠘⡤⣭⣂⢭⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⢷⣬⣑⣢⡑⠴⣀⡓⣌⣆⣳⣶⠟⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠙⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠌⠐⡀⢂⠐⡀⠡⠐⠠⢈⠐⢈⠠⠐⢈⠐⠠⢀⠡⠀⡁⣿⣿⣽⣿⣿⣷⣿⡿⡻⣕⣮⡝⣮⢫⡝⣮⢽⣿⣿⡿⢂⠡⣚⢯⡹⢏⣰⣿⣯⡝⡧⢏⡾⣱⠞⣭⢞⣶⣿⣯⢷⣿⣿⣿⣿⣿⠛⠞⣿⣿⢧⣿⣿⣿⡝⣮⠳⣭⣚⠧⡞⣵⢣⡏⣟⣬⢳⣿⣿⣿⣇⠈⡐⠈⠠⠐⠠⠈⠄⠂⠄⡈⠐⠠⠐⠈⠄⡁⠂⠄⡈⠄⡈⠐⠠⠀ ⠀⠌⠐⡀⢂⠐⢀⠡⢈⠐⠠⢈⠠⢀⠁⠂⠌⠐⡀⠂⢁⠠⠙⣿⣿⣿⣿⣿⣶⣽⣷⣿⣿⡻⢴⣫⡜⣮⢿⣿⣿⡇⢡⣒⣼⣾⣿⣶⣾⣯⣷⡹⠘⡍⠲⢍⠻⡜⣾⣿⣿⣽⣿⣿⣿⣿⡿⠁⠌⢂⣿⣿⣷⣿⣿⣿⣟⣖⢻⡲⢭⣞⡹⢖⣫⣜⠳⣞⣯⣿⣿⣿⣿⡂⢀⠁⢂⠁⢂⠡⠐⠈⠄⠠⢁⠂⠡⠈⠄⠠⢁⠂⡐⠠⢀⠁⢂⠁ ⠀⠌⠐⡀⠂⠌⡀⠐⠠⢈⠐⠠⢀⠂⠌⠐⡈⠄⠠⠁⠂⠄⢂⠈⠻⠿⣿⣯⣿⣿⣿⣿⡿⣩⢗⡲⡽⢼⣿⣿⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠄⠃⠌⡐⠠⢉⠉⡛⠟⡋⣽⣿⢋⣴⣩⣐⣂⡙⠏⡹⢿⠹⣿⣿⣎⡳⢭⡳⣬⢛⡮⠵⣎⡟⡼⣻⣿⣿⡽⣿⣧⠀⠌⡀⠌⢀⠐⢈⠐⡈⠄⠂⠠⠁⠌⠠⠁⠄⢂⠠⠁⠄⡈⠄⡀ ⠀⠌⠐⡀⠡⠐⡀⢁⠂⠄⡈⠐⡀⠂⠌⠐⡀⠂⠡⢈⠐⡀⠂⠄⡁⠄⠠⠌⣹⣏⣿⣿⡳⣝⡎⢷⣩⢟⣿⣿⣿⣿⣿⠟⣼⡿⢉⣹⣿⣿⣿⣿⡟⢈⠡⠘⠠⠑⣈⠰⠀⡅⢢⣽⣾⣿⣿⣿⣿⣿⣷⣦⣁⠂⢩⣿⣿⢶⣙⢧⢳⡣⢟⣜⡻⢼⣯⡵⣣⠿⣿⣿⣯⣿⣧⣄⣐⡀⢂⠈⠄⡐⢀⠂⢁⠂⡁⠌⡀⠡⢈⠠⠐⢈⠠⠐⠀⠄ ⠀⠌⠐⡀⠡⠐⢀⠂⠌⠐⡀⠡⠐⢈⠠⢁⠠⠁⠂⠄⠂⠄⠡⠐⠀⠌⠐⢨⢹⣷⣿⣿⣳⣽⣚⢧⠳⣞⣿⣿⣿⣿⣏⠸⣿⣿⣦⣿⣿⣿⣽⣿⡧⢈⠤⢉⡐⠡⡀⠆⢡⠐⢫⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣧⠆⣿⣿⡧⢏⣞⣣⣝⢫⠶⣹⡹⣿⣷⣣⠟⣭⠿⣿⣿⣿⣿⣿⣿⣦⠐⠠⢀⠂⠌⡀⢂⠐⠠⢀⠁⢂⠐⠈⠄⡐⠈⡐⠀ ⠀⠌⠐⠠⠁⠌⡀⠐⡈⠐⡀⢁⠂⠄⠂⠄⠂⠡⢈⠐⢈⠠⠁⢂⠡⠈⡐⠠⢸⣿⣿⣿⣵⣻⣜⢮⣛⡼⣻⣿⣿⣿⠣⢘⣿⣿⡟⡿⢿⢿⣿⣿⡗⠀⠆⢂⠤⠁⡔⠈⡄⠊⣴⣿⣇⢠⣿⣿⣿⣿⣿⡜⣿⣿⣿⣾⣿⢯⡝⢦⡳⣎⣏⠷⣣⡝⣿⣿⣿⣿⣾⣷⣽⣾⣿⣿⣿⢻⣿⠀⠂⠄⡈⠄⡐⠠⢈⠐⠠⠈⠄⡈⠐⠠⢀⠡⢀⠂ ⠀⠌⠠⠁⠌⡐⠀⠡⢀⠡⠐⢀⠂⠌⠐⡈⠄⠡⠀⠌⡀⠄⡁⠂⠄⢂⠐⠠⢘⣿⣿⣿⣞⣿⣯⠶⣍⠶⣿⣿⣿⡏⡐⢢⠹⣿⣿⣶⣭⣾⣿⠟⠠⢉⡐⠂⡄⠃⠄⠃⠤⠑⣾⣿⣿⣿⣿⣿⣿⣾⣿⡏⢸⣿⣿⣿⣿⢳⣚⢧⣝⣾⣎⠷⣣⡝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡟⠃⠠⠁⢂⠐⠠⠐⡀⠂⠌⡀⢁⠂⠄⡁⠂⠄⢂⠠⠀ ⠀⠌⡀⢁⠂⠄⡁⠂⠄⠂⠌⡀⠐⡈⠄⠐⡈⠄⡁⢂⠐⠠⠐⠈⠄⠂⠠⢁⠈⢿⣿⢿⣿⣿⣿⣏⡞⣝⢾⣿⣿⣇⡘⢄⠣⣉⠙⡛⢛⠋⡡⠘⢠⠁⠤⠡⢠⠉⡐⠉⠤⢁⢻⣿⣿⡘⣏⢻⡹⣿⣿⡇⢼⣿⢿⣿⣿⢣⡝⣎⢾⣿⣎⢯⠵⣺⣿⣿⣿⣿⣿⣿⡗⠤⠈⡀⠐⡀⠌⡀⠡⠀⠌⠠⢁⠠⠁⡐⢀⠂⡈⠄⠠⢁⠈⠄⠠⠁ ⠀⢂⠐⠠⠈⠄⠠⠁⠌⡐⠠⢀⠡⠀⠌⠐⠠⠐⢀⠂⡈⠐⡈⠐⡈⠄⠡⠀⠌⠘⣿⡿⣿⣿⣿⣿⡼⢭⡞⣿⣿⣿⣔⡈⠒⡄⠣⢘⡀⠆⢡⠘⠠⡘⠠⠑⠂⡌⡐⢉⡐⠂⠌⠻⣿⣿⣼⣧⣿⣿⠟⡐⢌⠂⣾⣿⣏⢧⣛⡼⣻⣿⣚⢮⡝⣳⣿⣿⣿⣿⣿⣿⠇⠠⢁⠠⠁⠠⠐⢀⠡⠈⠄⠡⢀⠂⠁⠄⠂⡐⠠⢈⠐⠠⢈⠠⠁⠂ ⠀⢂⠈⠄⠡⠈⠄⡁⠂⠄⠡⢀⠂⠌⠠⠁⢂⠁⢂⠐⠠⠁⡐⠠⠐⠠⢁⠈⡐⠠⠙⣿⣿⣿⣿⣿⣿⣓⠾⣹⣿⣿⣿⣧⣱⢀⠃⠆⠰⢈⠄⢊⠡⠠⠑⣈⠡⢐⠈⠤⠐⡉⠰⢁⠌⣉⠛⡩⢍⡐⢢⠘⡄⢃⣿⣟⢮⣓⢮⣵⣿⡿⣜⣣⢞⣿⣿⣿⣿⣿⣿⡟⠀⡐⠠⠐⠈⠄⡁⠂⠄⠡⢈⠐⡀⢂⠡⢈⠐⢀⠂⠄⡈⠐⠠⠐⠈⠄ ⠀⢂⠈⠄⠡⠈⠄⠠⠁⠌⡐⠠⠐⠠⢁⠈⠄⡈⠄⡈⠄⡁⠄⠂⢁⠂⠄⢂⠐⡀⠂⠙⢿⣞⣿⣿⣿⣿⣝⣣⢿⣿⣿⣿⣿⣷⣮⣌⠁⠆⣈⠂⠆⣷⣇⡄⢂⠡⢌⢢⡡⠈⡅⠌⠒⡠⢃⠔⢢⠘⡄⠣⣌⣿⣿⢏⡞⣬⣳⣿⣿⢳⣣⢯⣿⣿⣿⣿⣿⣿⡟⢀⠂⡐⠠⠁⠌⠐⡀⠡⠈⠄⢂⠠⠐⠠⢀⠂⡈⠄⢂⠐⠠⢁⠂⠡⢈⠀ ⠀⢂⠈⠄⠡⠈⠄⠡⢈⠐⠠⠐⠈⠄⢂⠈⡐⠠⠐⠠⠐⡀⢂⠁⠂⠄⡈⠄⠠⢀⠁⢂⠈⡙⢿⣿⣟⡿⣿⣷⣯⣿⣿⣿⣿⣿⠿⣿⣿⣷⣦⣜⣰⣈⠙⠻⠿⠿⡟⡻⢁⠡⡐⠌⢡⠐⡌⢌⣢⣱⣼⣿⣿⣿⡟⢮⡝⣶⣿⣿⣏⣷⣯⣿⣿⣿⠿⣿⣿⠟⠁⡀⠂⠄⠂⠡⢈⠐⡀⢁⠂⠌⡀⠐⡈⠐⠠⠐⡀⠐⠠⢈⠐⠠⢀⠡⠀⠂ ⠀⢂⠈⠄⠡⠈⠄⠡⠀⠌⡐⠈⡐⠈⠠⠐⡀⠂⡁⢂⠁⠄⢂⠈⡐⠠⠐⠈⡐⠠⢈⠠⠐⠀⠄⠘⠻⢿⣯⣟⠿⣿⣿⣿⡝⢿⣿⡽⣷⣿⣟⣿⣿⣿⣿⣿⣿⣿⣾⣷⣷⣷⣾⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⡟⣼⣣⣿⣿⣿⣿⣽⣷⣿⣿⣿⣿⡿⠛⠁⡀⠂⠄⡁⠂⡁⠂⠄⢂⠐⠠⢈⠠⢀⠡⢀⠁⢂⠁⠄⡁⠂⠄⡈⠐⡀⠂⢁⠂ ⠀⢂⠈⠄⠡⠈⠄⡁⠌⠐⡀⠡⢀⠁⢂⠁⠄⠡⠐⠠⢈⠐⡀⠂⠄⡁⠂⡁⠄⠁⠄⠂⠌⠐⡈⠐⡀⠂⢉⠛⠿⠿⣿⣿⣿⣿⣟⠿⡆⣴⣿⣿⣿⢿⡇⣿⣿⣿⢫⡝⣹⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣻⣼⣷⣿⣿⣿⣿⣿⣿⡿⣿⣿⠿⠉⡀⠂⡁⠄⡁⠂⠄⠡⢀⠁⠂⠄⡈⠐⠠⠐⡀⠂⠄⡈⠄⡈⠄⠠⢁⠂⠄⠡⠐⢈⠠⠀ ⠀⢂⠈⠄⠡⢈⠐⠠⢈⠐⡀⠡⠀⠌⠠⠈⠄⠡⢈⠐⡀⠂⠄⡁⠂⠄⡁⠄⡈⠐⡈⠐⡈⠄⠠⠁⡐⠈⠠⠐⢀⠂⠄⡐⠠⢑⠨⣡⢿⣿⣿⣿⣿⣾⣽⣿⣿⣿⣿⣿⣿⢟⣴⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠁⢂⠐⡀⠡⢀⠂⠄⠡⢈⠐⠠⢈⠐⠠⢀⠁⢂⠁⡐⠈⠄⡐⠠⠐⠠⠁⠄⠂⠌⡐⢀⠂⠄⠁ ⠀⢂⠈⠄⡁⢂⠈⡐⢀⠂⠄⠡⠈⠄⡁⠂⠌⡐⢀⠂⠄⡁⠂⠄⡁⠂⠄⢂⠠⠁⠠⠁⠄⡈⠄⡁⠄⡈⠐⡈⠠⠐⠠⠐⢀⠂⢄⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡽⢿⣿⣿⣿⠟⠙⠛⠛⠛⠛⢋⠉⡑⠀⢂⠐⢈⠠⠐⢀⠡⠀⠂⠌⠐⡀⠌⠐⡀⠌⠐⠠⢈⠀⠂⠄⡁⠂⠄⠂⡁⢂⠡⠈⡐⠠⠐⡀⢂⠈⠄ ⠀⢂⠈⠄⡐⢀⠂⠄⢂⠈⡐⠠⠁⢂⠠⠁⠂⠄⢂⠈⠄⠠⢁⠂⠄⡁⠂⠄⠂⡁⠂⡁⢂⠐⠠⠐⠠⢀⠡⠐⢀⠁⠂⠌⡀⣘⣾⣿⣟⣳⣿⣿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣧⢻⡝⣿⣿⣿⢆⠁⠌⡀⠡⢈⠀⠂⠄⢁⠂⢈⠠⠐⢈⠠⢀⠡⠈⡐⠠⠐⢈⠐⠀⠌⠠⠁⢂⠈⡐⠠⢀⠡⠈⡐⢀⠂⠄⠡⠐⠠⠁⡐⠀⠌⠀ ⠀⢂⠈⡐⢀⠂⡐⠈⡀⠂⠄⡁⠌⠀⠄⠡⢈⠐⠠⠈⠄⠡⢀⠂⡐⠠⢁⠈⡐⢀⠡⠐⡀⠌⠐⠈⠄⠂⠄⡈⠄⢈⠐⢠⣴⣿⣿⢟⡼⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⢎⣿⣿⣧⢻⡝⣿⣿⣿⣥⠀⠄⡁⠄⡈⠐⡈⠄⡈⠄⠐⡈⠠⠐⡀⠂⡁⠐⠠⠁⢂⠈⡐⠈⠄⡁⠂⡐⢀⠁⠂⠄⠡⠐⢀⠂⠌⠐⡈⠄⠡⠐⢈⠠⠁ ⠀⢂⠐⡀⢂⠐⡀⠡⢀⠁⠂⠄⠂⠡⢈⠐⠠⠈⠄⠡⢈⠐⠠⠐⡀⠡⢀⠂⡐⢀⠂⡐⠠⢀⠡⢈⠐⡈⠄⠐⢈⠀⢢⣽⣿⡿⣹⢎⣷⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣞⡼⣿⣿⣧⢻⡼⣿⣿⣿⠆⠠⠐⡀⠄⠡⢀⠂⠄⡈⠐⡀⠡⠐⡀⠡⢀⠁⢂⠡⢀⠂⠄⡁⠂⠄⡁⠄⢂⠈⡐⢈⠐⡈⢀⠂⠌⡐⢀⠂⡁⠂⠄⠂⠄ ⠀⠂⠄⡐⢀⠂⠄⡁⠂⠌⡐⠈⠄⡁⢂⠈⠄⠡⢈⠐⠠⢈⠐⠠⢀⠡⢀⠂⡐⢀⠂⠐⡀⢂⠐⡀⠂⠄⠂⡁⢂⣼⣿⣿⢿⣳⡽⣾⣿⣿⣿⡽⣻⣿⣿⣿⣳⣟⣿⣿⣿⣿⢷⡹⣞⡽⣿⣿⣧⢻⡜⣿⣿⣿⣄⠁⡀⠂⠡⠀⠌⠠⢀⠡⢀⠡⠐⢀⠡⠀⠌⠠⢀⠂⡈⠄⠠⢁⠐⠠⠐⡀⢂⠐⡀⢂⠐⠠⢈⠠⢀⠂⡐⢀⠁⠂⠌⡀ ⠀⡁⢂⠐⠠⠈⠄⡐⠈⠄⡐⢈⠠⠐⡀⠌⠠⠁⢂⠈⡐⠠⢈⠐⠠⢀⠂⡐⢀⠂⡈⠐⠠⢀⠂⠄⢁⠂⢁⠰⣿⣿⢿⣻⢮⣽⣿⣿⣿⣿⡏⢾⣽⣻⣿⣿⣿⣿⣿⣿⣿⣻⣎⢷⡹⣞⣿⣿⣿⣧⢻⡭⣿⣿⣿⣆⠀⡁⠂⠡⢈⠐⡀⠂⠄⡐⢈⠀⢂⠁⠌⠐⠠⠐⠀⠌⠐⠠⠈⠄⡁⠄⠂⡐⢀⠂⡈⠐⠠⠐⡀⢂⠐⠠⢈⠐⠠⠀ ⠀⡐⠠⠈⠄⡁⢂⠐⠈⠄⡐⠠⢀⠁⠄⡈⠄⡁⢂⠐⠠⠁⠄⡈⠐⡀⢂⠐⡀⠂⠄⡁⠂⠄⢂⠈⠄⡐⠠⣿⣿⡇⢠⣉⢻⣿⣿⣿⣿⣿⣭⢻⣞⣿⣿⣿⣯⣻⣽⣿⣟⡷⣝⢮⡳⣝⢾⣿⣿⣿⣧⣟⡾⣿⣿⣿⡄⠠⠁⠂⠄⠂⠄⡁⢂⠐⠠⠈⠄⡈⠐⡈⠐⡈⠐⡈⠄⠡⢈⠐⢀⠂⠡⠐⢀⠂⠄⡁⢂⠁⡐⠠⢈⠐⠠⢈⠀⡁ ⠀⡐⠠⠁⢂⠐⠠⢈⠐⠠⠐⡀⠂⠌⠐⡀⢂⠐⠠⢈⠐⡈⠐⠠⠁⡐⢀⠂⠄⡁⠂⠄⡁⠂⠄⡈⠄⠐⡈⢽⣿⣿⣶⣿⣿⣿⣿⣿⣿⣟⢾⡿⣯⣿⣿⣿⠾⣵⣻⣿⣟⡿⣝⣮⢷⣻⢾⣿⣿⣿⣿⣏⣷⡽⣿⣿⣿⣇⠠⠁⠂⠡⠐⡀⠂⠄⡁⢂⠐⠠⢁⠠⠁⠠⠁⠄⠂⠡⠀⠌⡀⢂⠁⠂⠄⢂⠐⡀⢂⠐⡀⠂⠄⡈⠐⡀⠂⠄ ⠀⡐⠠⢁⠂⠌⠐⠠⠈⠄⠡⠐⢈⠐⠠⠐⠠⢈⠐⡀⠂⠄⡁⢂⠡⢀⠂⡐⠠⢀⠁⠂⠄⡁⠂⠄⡈⠄⡀⠂⠉⠉⠉⢁⠉⢺⣟⣿⣿⣿⣮⣟⣷⣿⣿⣯⣟⢷⣻⣿⣿⣻⢯⣛⢯⡝⣯⣾⣿⣿⣿⣿⣋⠱⠈⣽⣿⣿⡀⠄⡁⠂⡁⠐⡈⠠⠐⡀⠌⡀⠂⠄⡁⢂⠁⢂⠁⢂⠡⠐⠠⠀⠌⡐⢈⠠⠐⠠⢀⠂⠄⡁⠂⠄⠡⠐⠈⡀ ⠀⡐⢀⠂⡐⠈⠄⠡⠈⠄⡁⠂⠄⡈⠄⡁⠂⠄⠂⠄⡁⢂⠐⠠⢀⠂⡐⢀⠁⠂⠌⠐⠠⢀⠁⠂⠄⢂⠠⠁⠌⠠⠁⠂⡐⠠⢿⣿⣿⢿⣿⣿⣿⣿⣿⢷⡯⣯⢟⣿⣿⣽⣷⣯⣿⣿⣿⣿⢿⣿⣿⣿⣿⣷⣥⣾⣿⣿⠆⠐⡀⠁⠄⡁⠄⢁⠂⠐⠠⢀⠁⢂⠐⠠⢈⠠⢈⠠⠐⠈⠄⡁⠂⠄⢂⠠⠁⠂⠄⡈⠐⡀⠡⢈⠐⠠⢁⠀ ⠀⡐⢀⠂⠄⠡⠈⠄⡁⠂⠄⡁⠂⠄⢂⠠⠁⠌⡐⠠⠐⠠⢈⠐⡀⠂⡐⠠⢈⠐⡈⠄⡁⠂⡈⠐⡈⠠⠐⡈⠄⠂⡁⢂⠐⡀⢻⣿⣿⣿⣟⡾⣽⣛⣾⣯⢷⢯⣻⢿⣿⢿⣻⡟⣿⣻⣟⣞⣯⣿⣿⣿⣮⠍⡟⠻⠛⠙⠠⢁⠠⠁⢂⠐⢈⠠⠈⠄⡁⠂⠌⡀⠌⠐⡀⠂⠄⠂⡁⠌⠐⡀⠡⢈⠠⢀⠡⢈⠐⡀⠡⢀⠁⢂⠈⠄⠂⡀ ⠀⡐⠠⠈⠄⠡⠈⠄⠠⢁⠂⠄⢁⠂⠄⠂⡁⠂⠄⡁⢂⠡⢀⠂⠄⠡⠐⡀⢂⠐⠠⠐⡀⠡⢀⠡⢀⠡⠐⠠⢀⠡⠐⡀⠄⡐⢀⠈⡙⣿⣿⣿⣷⣿⣿⣾⣯⣟⣧⣿⣯⣿⣱⣿⣷⣿⣿⣾⣿⡿⢿⠋⡁⢂⠀⠂⠄⡁⠂⠄⡐⠈⠄⠂⠄⠂⠌⠠⢀⠁⢂⠐⡈⠐⠠⠁⢂⠡⠀⠌⡐⢀⠡⢀⠂⠄⠂⠄⠂⠄⡁⠂⠌⡀⠂⠌⠐⡀ ⠀⡐⠠⠁⠌⠠⠁⠌⠐⡀⠂⠌⢀⠂⠌⠐⠠⠁⢂⠐⠠⢀⠂⠄⡈⠐⠠⠐⡀⠌⠐⠠⢀⠁⠂⠄⢂⠠⢈⠐⡀⢂⠐⠠⠐⡀⠄⠂⠄⡘⣿⣿⡉⢛⠛⡟⠿⣻⣿⣿⣿⠿⢿⢻⡛⠟⣽⣿⣿⠀⠄⠂⡐⠀⠌⡐⠠⢀⠁⠂⠄⡈⠐⡈⠄⡈⠄⠡⠀⠌⠠⠐⡀⢁⠂⡁⠂⠄⡁⠂⠄⠂⠄⠂⠄⡈⠐⡈⠐⠠⢀⠡⠐⡀⢁⠂⢁⠀ ⠀⡐⠠⠁⠌⠠⠁⠌⠐⠠⠁⠂⠄⠂⠌⠠⠁⠌⠠⢈⠐⡀⢂⠐⠠⢁⠂⡁⠄⡈⠄⢁⠂⠌⠐⡈⠠⠐⡀⢂⠐⡀⠌⡀⠡⢀⠂⠌⠀⠄⢻⣿⡇⢂⠡⡈⠔⣡⣿⣿⣿⡈⠔⠂⢌⡐⢼⣿⣿⠀⠌⠐⡀⠌⠐⡀⠡⠀⠌⡐⠠⢀⠡⠀⠂⠄⡈⠄⠡⠈⠄⡁⠐⡀⠂⠄⡁⠂⠄⠡⢈⠐⡈⠐⠠⢀⠡⢀⠁⠂⠄⠂⡁⠐⠠⢈⠀⠂ ⠀⡐⠠⠁⠌⡐⢈⠠⢁⠂⠡⢈⠠⢁⠈⠄⠡⢈⠐⡀⢂⠐⠠⢈⠐⢀⠂⠐⠠⠐⢈⠀⠂⠌⠐⡀⢁⠂⡐⢀⠂⠄⡐⠀⠡⢀⠂⠌⠐⡈⠐⣿⣿⣦⣵⣰⣲⣼⣿⣿⣿⣅⠊⢌⠠⢄⣻⣿⣷⠈⡀⠂⠄⡈⠐⠠⠁⠌⠠⠐⡀⠂⠄⠡⢈⠐⠠⠈⠄⡁⠂⠄⠡⢀⠁⠂⠄⠡⢈⠐⡀⠂⠄⡁⠂⠄⠂⠄⡈⠐⡈⠐⠠⠁⠂⠄⡈⠄ ⠀⡐⠠⠁⢂⠐⡀⠂⠄⡈⠐⠠⠐⡀⠌⠠⢁⠂⡐⢀⠂⠌⠐⠠⠈⠄⡈⠄⠡⠈⠄⡈⠐⡈⠐⡀⢂⠐⡀⢂⠈⠄⠠⢁⠂⠄⢂⠈⡐⠀⡁⢻⣿⡃⢉⠋⠡⢸⣿⣿⣿⡿⢟⡮⠷⠾⢿⣿⡿⢀⠠⠁⡐⠠⢁⠂⢁⠂⠡⠐⢀⠡⢈⠐⡀⠂⢁⠂⡐⠠⠁⠌⡐⠠⢈⠐⡈⠐⡀⠂⠄⡁⠂⠄⠡⢈⠐⠠⢀⠡⢀⠁⢂⠡⠈⡐⠀⠄ ⠀⡐⠠⢁⠂⡐⢀⠁⠂⠄⡁⠂⡁⠄⠂⠡⢀⠂⡐⢀⠂⠌⠠⢁⠂⡐⠠⠈⠄⡁⠂⠄⠡⢀⠡⠐⢀⠂⡐⠠⢈⠠⠁⠄⢂⠈⠄⢂⠠⠁⠠⢹⣿⣧⣀⢂⣥⣾⣿⣿⣿⣿⠀⠠⠁⠂⣽⣿⡯⠀⠄⢂⠐⡀⠂⠌⡀⠄⡁⠂⠄⠂⠄⢂⠠⠁⢂⠐⡀⢂⠡⠐⠠⠐⡀⠂⠄⠡⠐⠈⠄⡐⢈⠐⡀⠂⠌⡐⢀⠂⠄⡈⠄⠠⠁⠄⡈⠄ 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⠀⠀⠀⠀⠀⠀⠀⢠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢕⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⠀ ⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄ ⠀⠀⠀⠀⢠⣣⠀⠀⠀⠀⠀⠀⠀⢀⡠⣖⣂⣀⡀⠀⠀⠀⠀⠀⠀⠀⠸⢧ ⠀⢀⢾⠟⣯⡇⠀⠀⠀⠀⠀⠀⠀⠁⠈⣁⣀⠘⢷⣦⣄⡀⢀⢀⠀⣀⣀⣹ ⠀⢸⢸⠀⠈⠃⠀⠀⠀⠀⠀⠀⣰⣾⡻⣭⣭⣽⣿⣾⡽⣿⡟⣼⣾⣿⣿⡟ ⠀⠈⠹⣿⡏⠄⠀⠀⠀⠀⠀⠀⠁⠙⢜⠿⣿⣿⣿⣿⡧⠈⣸⣿⣿⣿⣿⡇ ⠀⠀⣇⠘⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠿⠛⠋⠀⠀⢻⣿⣿⣿⡿⠀ ⠀⠀⠘⠤⠴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠠⠂⠀⠀⢸⣿⣿⣿⡇⠀ ⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢿⡄⠀⠰⠄⠀⠀⠻⣿⣿⠇⠀ ⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠈⣇⣤⡤⢄⠀⣴⣶⣿⠟⠀⠀ ⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⡔⠁⠀⡀⠀⠈⢹⣷⣿⣾⣿⣿⠏⠀⠀⠀ ⠀⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣠⣶⣦⣤⣤⣬⣿⣿⣿⣿⡟⠀⠀⠀⠀ ⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⣍⣛⣿⣿⣿⣿⡟⠠⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⢙⣿⣿⣿⣿⣷⣤⡀⠉⡢⠀
⠀⠀⠀⠀⠀⣸⣿⣿⣿⣯⡞⢡⠾⠗⠒⠒⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣦⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣧⠀⠀⠀⢸⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣧⣤⣤⣄⡀⢀⡴⢻⡆⠀⠀⠀⣿⡆⠀⠀⠀ ⠀⣤⠀⠀⣿⣿⡿⠃⠀⠀⠀⠀⢀⣀⣀⣀⣤⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⡿⠉⠀⠀⠀⠀⠙⢿⣿⣄⠀⣹⡄⠀⠀⣿⣇⠀⠀⠀ ⢀⡇⠀⢰⣿⣿⣁⠀⠀⣠⣶⣻⠏⠉⠉⠭⢿⣿⣮⣕⠀⠀⠀⠀⠀⠀⠀⢘⡿⠏⣠⣤⡤⠀⠀⠀⠀⠀⠙⣿⣏⠉⣿⡀⠀⢸⣿⠀⢹⡄ ⢸⡇⠀⣸⣿⣿⠀⣩⣿⠟⠋⠀⠀⠀⣀⣀⡀⠈⠻⢿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣀⣠⡆⠀⠀⠀⠀⠘⢿⠀⢹⣧⠀⢸⣿⡆⢸⣧ ⢸⡇⠀⣿⣿⣷⣶⣿⠉⠀⠀⠀⢀⣾⣿⣯⣀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠳⠀⠀⠀⠀⠀⢸⡇⢰⣿⡄⠸⣿⡇⢸⣿ ⣾⡇⢀⣿⣿⡇⣿⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣽⣿⣧⠀⠀⠀⠀⠀⠀⢸⠁⢸⢻⡇⠀⣿⡇⣾⣿ ⣿⡇⢸⣿⣿⠇⣿⡀⠀⠀⠀⠀⠈⢯⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠎⠀⣸⠘⣿⢀⣿⣿⣿⣿ ⣿⡇⣿⣿⣿⡆⠸⣧⠀⠀⠀⠀⠀⠀⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣀⠀⣀⣒⣦⡀⣿⣴⣿⣿⢻⣿⣿⣿ ⣿⣿⣿⣿⣿⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢠⠼⠋⠀⠀⢀⣼⣿⣷⣶⣶⣶⣶⣮⡿ ⣿⣿⣿⣿⣿⣀⠀⠀⠀⠑⢢⡄⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢠⣾⣿⣷⢻⣿⣿⣿⣿⣿⠧ ⢿⣿⣿⣿⣿⣿⠀⠀⢀⡤⠞⠉⠉⠉⠙⠢⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢧⠀⠀⣰⢟⣿⣯⣴⣿⣿⣿⣿⣿⣬⠣ ⢸⣿⣿⣿⣿⣾⣧⠰⠋⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠊⠀⠀⠑⣾⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣷⣀ ⠘⣿⣿⣿⣿⠉⠉⢧⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⠐⠤⣀⡀⠀⠀⠀⠀⠀⠀⠤⠒⠁⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⡟⢿⣿⣟⣛⣛⡵⠋ ⡀⣿⣿⣿⣿⣦⣀⠀⢣⠀⣤⣄⣀⠤⠴⠚⠁⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⣿⣿⣿⣿⣾⣷⡀⠈⠉⠉⠀⠀⠀ ⣧⢹⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡷⣿⣿⣿⣿⣿⡞⣷⠄⠀⢉⣉⢠⡆ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⣿⣿⣿⣿⣿⢧⢋⣿⣷⣿⣿⣿⢳ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⢿⣅⣿⡋⠹⣿⡇⠌⢼⠿⣿⣿⣿⠟⣼ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠈⠻⢷⣶⣤⣤⣀⣀⣀⣀⣀⣠⣴⣾⠟⠁⠀⠀⢸⣿⢻⡇⢀⣸⣧⡄⠈⡿⣻⠶⢶⠟⡏ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⢀⣼⣿⣿⣆⢠⣭⢿⣿⣷⣾⣽⣿⠋⠀⡟ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣯⡙⢻⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠉⠉⠛⠋⠁⠀⠀⠀⢀⡴⠋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣼⡁ ⠀⢻⣿⣿⣿⣿⣿⣧⠽⠿⣿⡁⠀⣠⠞⢙⠟⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠞⠁⠀⢀⡼⠿⢿⣿⣵⣾⠋⢻⣿⣿⡇⠀⠀⠈⠉ ⠀⠈⢿⣿⣿⣿⣿⣿⡆⠀⠈⢙⡞⢁⠔⠁⠀⠘⠉⠳⢄⡀⠀⠀⠀⠀⣀⡠⠖⠉⠀⠀⠀⢀⡏⠀⠀⢈⡿⣏⣁⠀⢸⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠈⢿⣿⣿⣿⣿⣿⡄⠀⠎⡴⠋⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⣧⠤⡤⠊⢁⣿⣿⣶⣿⣿⣿⣷⡦⠤⢤⣀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠐⣒⣾⣯⡯⠤⠤⠬⣼⣿⣖⣢⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣖⣿⠗⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠶⣭⣶⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣌⠢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠟⠁⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡱⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣾⡿⠁⠀⠀⠀⣠⡞⠀⢠⠄⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣾⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⡟⠀⠀⠀⠀⣴⣿⠁⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠠⡆⠀⠀⠀⠀⠀⠀⢹⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣼⡿⠃⠀⠀⠀⣰⠏⣿⢀⣿⣧⣀⠀⠀⠀⠀⡄⢀⡇⢀⡿⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀⢿⣷⠀⠀⠀⠀ ⢀⡖⣲⣶⡿⠛⢁⠀⠀⢀⣴⡇⠀⠟⠚⢹⡇⠀⠀⠀⠀⣰⠇⣸⣧⣾⠀⢱⠀⣿⠀⠀⠀⠀⠀⠀⠀⠸⣿⡆⠀⠀⠀ ⠀⠻⢿⣷⣤⣴⡏⠀⠀⢸⣿⣁⣰⣾⣿⣾⣤⡀⠀⠀⠀⠿⠾⢿⡟⠁⠀⠸⠶⠟⣇⠀⠀⠀⠀⠀⠀⢤⣿⣇⠀⠀⠀ ⠀⠀⠀⠉⣿⣿⠀⠀⠀⢸⣿⡿⠛⣟⢙⡿⢿⡛⠀⠀⠀⠀⠀⣤⣷⣿⡶⣦⡄⠀⣿⠀⠀⠀⠀⠠⡄⠈⠻⣿⣧⣄⡀ ⠀⠀⠀⠀⣿⣿⠀⠀⠀⢸⣿⡇⠀⣿⠛⠻⣾⠇⠀⠀⠀⠀⠀⣾⢉⣿⠿⣾⢻⣦⣿⠀⠀⠀⠀⠀⣿⢦⣤⣈⣙⣿⣿ ⠀⠀⠀⠀⠹⣿⡆⣧⠀⠈⣿⡅⠀⠙⠓⠚⠋⠀⠀⠀⠀⠀⠀⢿⡘⠛⢣⡏⢸⠿⡟⠀⠀⣿⠀⠀⣿⠀⣿⡏⠙⠋⠁ ⠀⠀⠀⠀⠀⢻⣿⣜⣆⠀⢹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠶⠛⠁⠀⢰⠃⠀⢰⡟⠀⢀⣏⣼⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⡈⢿⣿⣷⣤⣀⡀⠀⠠⣄⣀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠀⢠⡟⠀⠀⣾⣿⣿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⢮⣟⣶⣿⣻⣷⣿⣿⠓⣶⣶⡶⠶⣶⣶⣶⣶⣾⣿⡟⢀⣴⡟⢁⣠⣾⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⣿⣿⣿⣰⣟⠙⠳⠖⣿⠇⢿⣧⣿⣯⣴⣿⣿⣾⣿⡽⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢿⡿⢿⣿⡿⠶⠲⢶⣿⣇⣼⡿⠿⣿⡏⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⢸⡇⢈⣿⠁⠀⠀⠀⣿⣿⣏⠀⠀⠹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡁⠀⣿⠁⢀⣿⠦⢤⣤⣤⣿⡇⠹⣦⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⡉⢛⣿⡇⠀⢸⣿⠛⢻⡷⠶⢿⣇⠀⠻⣦⠀⠀⢙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣈⣿⠿⣿⡗⠀⢸⠿⠀⢸⡇⠀⠘⣿⠀⠀⠹⣧⡶⠛⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠠⣿⡏⠁⣾⣦⣀⣸⣷⣦⡀⣿⡇⠀⠀⢿⣿⡶⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⠶⣿⠉⠛⠋⠹⣿⠛⢿⣧⣤⣤⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⢸⣿⠀⠀⠉⣹⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⢀⣸⣿⡀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠉⠉⣿⣿⡗⠒⠲⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⢏⣸⡷⡴⣶⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⣿⠿⢿⣢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡞⡟⠀⠀⠉⠻⢵⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠙⢾⣦⡀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣶⣶⠷⠿⠟⠻⣽⠀⠀⠀ ⠀⠀⠀⠀⠀⢐⣿⠀⠀⠀⠀⠀⠀⠀⠀⠹⣵⡀⠀⠀⠀⣠⣶⡿⠓⠉⠉⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢯⣇⠀⠀⠀⠀⠀⠀⠀⠀⢱⣷⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣆⠀⠀⠀⠀⠀⡖⢦⡘⣿⢦⣴⣷⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡽⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⢤⣀⠀⠀⠳⠦⠀⡟⠉⣹⠇⠉⣹⠆⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⢟⣛⠯⠿⠟⠓⠚⠓⠤⠿⠤⢭⣄⣀⣀⣀⣀⣀⣤⣾⡟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⣿⡯⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣌⠻⣄⠀⠙⢿⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⡿⠋⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⠀⠈⠳⣌⠳⡀⠀⠙⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⣾⠟⠁⠀⠀⢀⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠘⢆⠹⡄⠀⠘⣿⡀⠀⠀ ⠀⠀⠀⣼⣟⣀⠀⠀⢀⡿⠀⠘⢦⡀⠀⠀⠀⠀⢀⣴⡷⠀⢹⣦⡀⠀⠀⠀⠘⣆⢹⡀⠀⢻⣧⠀⠀ ⠀⠀⢠⣿⠏⢯⢣⡀⣼⠁⠀⠤⣌⠻⣦⡀⠀⣰⣿⠋⠀⢀⣮⠏⡹⣦⠀⠀⠀⢻⡀⣇⠀⠈⣿⠀⠀ ⠀⠀⢸⣼⠀⠀⢻⡻⡇⠀⠀⠀⠈⠙⠂⠙⢯⣞⠁⠀⢠⣟⡿⣫⠞⣅⡀⠀⠀⠀⡇⣿⠀⠀⣿⠀⠀ ⠀⠀⢸⣿⢿⡲⣄⣻⣿⣴⣶⣶⣤⡠⠀⠀⠀⠀⠉⠓⠾⣤⣞⣁⠀⠀⠉⠓⢦⠀⡇⢿⠀⢀⣿⠀⠀ ⠀⠀⢸⣼⠀⠙⢮⣿⡏⣰⠻⣿⡿⢷⡄⠀⠀⠀⠀⠀⣊⣤⣶⣬⣍⠉⡟⠉⠛⢧⡇⠘⣆⢸⡟⠀⠀ ⠀⠀⠈⣿⡇⠀⠀⣿⠁⢻⡌⠛⢿⡿⠁⠀⠀⠀⠀⠸⡿⠻⣿⠛⡿⢿⣾⠀⠀⠀⡷⠀⡿⣼⡇⠀⠀ ⠀⠀⣠⡿⢻⠀⠀⣿⠀⠀⠉⠛⠉⠁⠀⠀⠀⠀⠀⠀⢷⠚⠻⣿⡇⣸⢿⠀⠀⢠⡇⣸⠁⡿⡇⠀⠀ ⢠⣞⢁⣤⡾⢷⡀⢹⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠚⠋⠀⠀⣸⠀⠀⣼⣱⠃⠀⣿⡇⠀⠀ ⠈⢛⣿⡿⠁⠀⠳⣄⢧⡻⣷⢤⣀⡀⠀⠠⠤⠠⠀⠀⠀⠀⠀⠀⣀⣴⡇⠀⣳⠿⠃⣀⠀⠸⣿⣀⠀ ⠀⠸⠾⠿⠿⠿⠭⠟⡿⣽⢮⣙⣿⣽⠛⠓⣶⠒⢲⡶⠶⣶⡛⠋⠁⣿⣡⠞⠁⠀⠀⠙⣦⣤⠝⢻⣳ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠒⣿⡿⣯⢷⣤⣧⣴⣋⣤⠔⣋⢿⣦⣌⣿⣟⢷⣦⣄⡀⠀⢯⣿⠉⠉⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠁⣼⢠⠟⢉⠙⣟⠉⣧⡬⠞⢿⣿⠛⠋⠀⠈⠙⠛⠥⠼⠼⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠀⢠⡿⡏⣀⣾⡄⢸⠀⠈⣷⠀⠈⢫⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⡟⠟⠁⢠⣿⣧⣍⡁⠀⠙⠺⠀⣀⣼⣧⠀⢀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣟⠙⣲⣤⣿⣿⣿⣷⣿⠛⣿⡿⢟⣿⣽⣿⣆⠈⢦⠘⡟⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠛⠒⠛⢑⣿⠃⠀⠉⢉⠉⠉⠉⢹⡝⢿⣿⣆⣤⠶⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣀⣲⠤⢼⣄⡀⠀⠀⠽⣶⣌⣹⣿⠶⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠈⠉⠉⣿⡟⠉⠉⠉⢹⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣽⡀⠀⠀⣿⢧⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡟⠛⠋⣿⣿⠦⠤⠴⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡧⢤⣀⣿⣿⣀⡀⠐⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⠟⣾⣿⣿⢿⡯⠻⢾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⣙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⣟⣫⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣐⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡏⠀⠀⠀⠀⠀⠀⠀⠙⠦⣀⠀⠉⠁⠀⠀⠀⢀⣀⣤⣖⠛⠉⠉⠉⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣷⡿⣿⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⢀⡀⠀⢀⣀⣀⣽⠶⠶⠶⠾⠉⠁⢠⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⣋⣵⣿⣿⡿⠛⢹⣄⢠⣤⣤⡶⠶⠟⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠶⠞⠋⢠⣾⡿⣿⣿⠃⢠⣾⡿⣿⡆⠀⠀⠀⠀⠀⠘⢷⣦⣤⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⢀⣴⠻⣧⣻⡟⠁⢀⣵⣿⣿⠛⢹⡀⠀⠀⣀⣴⡶⣟⣯⣟⣿⣽⣒⣦⠤⣀⠀⠀⣼⣿⣿⡏⠀⢹⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⢀⣴⢿⡹⣷⣿⣿⣧⣴⣻⣟⣿⣿⠀⠀⠑⣄⣾⣟⣳⢿⡽⠚⠉⠀⠈⠉⠻⣿⣶⣯⣷⣯⣾⡋⣁⣀⣾⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡿⡇⠀⢠⣞⢮⣳⣿⣟⣧⣿⣿⣽⣏⣿⣿⢿⣤⣄⣠⣿⣳⡽⡿⠋⠀⠀⠀⠀⠀⠀⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⢠⣟⢮⣿⢿⡽⣞⡾⣿⢿⣷⣿⣿⣿⣻⢿⣿⣟⢮⣳⣿⠃⢀⠀⠀⠀⠀⠀⠀⠈⡞⣿⣿⣿⣿⣿⣿⡆⣩⣿⣶⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠊⠹⣿⣿⣿⢯⣿⣛⡾⣽⡳⣟⣞⡯⣟⡿⣟⡾⣵⢯⣿⣙⢯⡷⣿⠀⡜⠀⠀⠀⠀⠐⢄⠀⠘⢿⣟⣿⣻⢿⣿⢿⣿⣿⣿⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠊⠁⠀⠀⠀⠹⣿⣿⣿⣳⢯⡿⣵⣻⡽⣞⣽⣳⢯⢯⣷⢯⣟⣾⢯⣗⣻⣿⠀⠁⠀⠀⠀⠀⠀⠀⠉⠂⠈⢻⣶⣯⣿⣯⣛⡾⣻⢽⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠞⠁⠀⠀⠀⠀⠀⢀⡤⠞⣿⡷⣿⢯⡷⣏⡷⢯⣻⣼⣳⢯⣟⡾⣿⡾⣽⡾⣜⣳⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣦⠋⡉⠀⠹⣷⢾⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠚⠁⠀⠀⠀⠀⠀⢀⠔⠉⠀⠀⣿⣽⣯⣟⣿⡽⣽⢯⢷⣳⢯⣻⣞⡽⣿⣽⢿⣷⡹⢾⡇⠀⠀⠀⠀⣠⣤⣒⣶⣽⣴⣤⣰⣿⣿⣿⣄⣀⠐⢀⣿⣿⠀⠀⠀ ⠀⠀⠀⣀⢀⣤⣤⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⡠⠞⠁⠀⠀⠀⢠⣿⣽⡾⣽⣞⡿⣿⣞⣯⠷⣯⢷⠾⣝⣯⣿⢯⣷⣟⣿⣻⡦⣼⣽⣿⣿⣿⣿⣿⣿⣿⡡⣹⣿⡷⣯⢿⣹⡟⣿⣿⣿⠀⠀⠀ ⠀⣏⠀⠈⠓⠩⠧⠷⣱⠞⠁⠀⠀⠀⠀⣠⠔⠋⠀⠀⠀⠀⠀⠀⣸⣯⡿⣽⣳⢾⡽⣯⢿⣾⣿⡽⣞⡿⣽⣷⣻⣿⡿⠿⠾⣿⣷⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⢯⢷⣫⣞⣿⣿⣿⠀⠀⠀ ⠀⠙⣆⠀⠀⠀⠀⠊⠀⠀⠀⠀⣠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣻⣽⣳⢯⡿⣽⢯⣟⡾⣽⣻⢿⣾⣿⡽⣷⣻⣧⡿⢷⡶⣾⠈⠛⢻⡉⠉⠉⠀⠀⠀⣿⢶⡿⣟⣯⢯⣗⣻⣿⣿⡇⠀⠀⠀ ⠀⡤⠞⠁⠀⠀⠀⠀⠀⣀⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠛⢿⣷⢯⡿⣽⣫⣟⡾⣽⣳⢯⣟⡾⣷⣻⣽⣻⣿⣿⠿⠾⢿⠄⠀⢠⣧⠀⠀⠀⠀⠀⢸⣿⣿⣟⣾⣛⡾⣟⣿⣿⡇⠀⠀⠀ ⠠⠄⠀⠠⠤⠠⠤⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣷⣲⣿⢯⡿⣽⣻⣟⣾⢿⣷⣯⣿⢾⣿⣷⣿⣿⣿⣿⡿⣟⣿⣿⡀⠀⢸⣿⣆⠀⠀⠀⠀⠀⢻⣿⡽⡾⣽⣽⢿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⣿⣿⣻⣿⣯⣿⣽⣳⣟⡾⣽⣻⢾⡽⣾⡿⠉⣿⣿⣟⣯⣿⣝⡾⣼⣿⣧⠀⣿⣿⣿⡦⠀⠀⠀⠀⠀⢻⣽⣻⢧⣿⣿⣾⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⢯⣽⣿⣟⡷⣻⣟⣾⡿⣷⢿⣽⣷⣯⣿⣽⣻⣷⣲⣽⣿⣿⣿⣿⣿⣿⣿⣯⣟⣿⣿⣿⣻⣧⠀⠀⠀⠀⠀⠀⢻⣽⣻⣷⡿⣾⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⢯⣽⣻⣿⢟⡾⣽⡿⣽⡿⣽⢯⣿⣿⣻⡽⣟⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⢿⣮⡉⠉⠉⠉⠙⢆⠀⠀⠀⠀⠀⠘⣿⣿⡟⢿⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⣏⣿⣛⣾⢿⣹⣞⣿⢿⣽⡿⣽⢯⣟⣾⣿⣽⣿⣻⣿⣻⣿⡷⣿⣳⣿⣿⣿⣯⣿⢿⣿⣻⢿⣦⡀⠀⠀⠘⣆⠀⠀⠀⠀⠀⢫⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⢿⣹⣽⣶⡿⣏⣯⣷⡿⣯⢿⣻⡽⣯⣟⣾⣿⣟⣧⢿⣟⣷⣿⣟⣿⣿⣻⣽⣿⣿⣷⣿⣻⣟⣿⣯⣟⡷⣄⠀⠀⠘⡄⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⣽⣫⣿⣿⣏⣷⢻⣼⡿⣽⢯⣟⣷⣻⢷⣻⣾⡟⣮⣽⣻⣟⣾⣿⡽⣞⣿⡿⣽⣾⣿⢿⣞⣷⣻⣞⣿⣾⣽⣻⣦⡀⠀⠸⡄⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣯⣟⡿⣽⣟⡷⡾⣭⣿⡿⣽⢯⣟⣾⣳⢯⣿⣟⡷⣻⣳⣭⣿⡾⣽⣿⡽⣏⡾⣿⣟⡾⣿⣟⡿⣞⣷⣻⢾⡽⣷⣻⣞⣷⡀⠀⠱⡀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⣽⡿⡾⣝⣷⣿⢯⡿⣽⢯⣟⡾⣽⣻⣟⡾⣽⣳⢯⣞⣿⣽⣻⣯⢿⣹⣽⢻⣯⡿⣽⣿⣻⡽⣾⡽⣯⢿⡽⣿⣾⣽⡇⠀⠀⠱⡀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣽⢻⣽⡿⣽⢯⣿⣽⣻⣞⡿⣽⣿⣹⣞⢷⡽⣫⣾⣿⣯⢿⣯⣟⣧⡟⣯⢿⣽⣳⢿⣿⣽⣳⠿⣽⢾⡽⣯⣿⣿⡇⠀⠀⠀⢣⠀⠀⠀⠈⡳⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠾⣯⣿⡽⢯⣿⢷⣯⢷⣯⡿⣟⡾⣵⣞⣯⡽⣷⡿⣽⣳⢿⣟⡾⣞⡽⣏⡿⣯⣟⣯⣿⢾⣽⣻⡽⣯⢷⣻⢾⡅⠁⠀⠀⠀⢸⠀⠀⢀⠔⣡⠚⢙⡏⢇⠉⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⣯⣟⣾⣻⣾⡽⣏⣷⣻⡼⣞⣽⡿⣽⡿⣽⣻⣯⢷⢯⣻⡽⣽⣿⡽⣞⣿⡿⣞⣷⣻⡽⣯⣯⠟⠁⠀⠀⠀⠀⢸⠀⢀⡂⣐⡡⠮⠔⠋⠙⠁⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠈⢡⣿⣽⣻⣼⢳⣯⢿⡿⣽⣿⣽⣳⣿⢯⣯⢟⣧⣟⣧⢿⣻⡽⣞⣿⡽⣶⢯⡷⠋⠁⠀⠀⠀⠀⠀⣴⡊⣠⠖⠛⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠈⠉⠝⠚⠻⠽⢷⣟⣶⣯⢿⣻⢮⣟⢾⣞⣭⣟⣯⢿⣽⢟⣿⠝⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⢛⡗⠻⠛⢾⡞⠚⠛⠋⠁⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⢳⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⢦⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⣊⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⢘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⡆⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⡷⢦⣄⡀⠀⠀⠀⠀⠈⣽⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠈⠙⠷⣤⡀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠈⠙⢤⡤⠟⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠤⣀⡀⠀⠀⠀⢀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⢴⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠒⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠉⠓⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠈⡗⠢⢄⡀⠀⠀⠀⠀⢸⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠉⠲⡀⡀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⢴⣶⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⢘⡏⠉⣠⣿⣿⣿⣿⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⢀⣼⣷⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡝⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⣯⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⡀⢀⣤⣶⣎⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠈⠉⠙⠋⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣤⣤⣽⣿⣶⣶⣶⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠋⠉⠉⠉⢹⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
◝(>ヮ<)◜ Wonderhoy! ☆
⠀⠀⠀⠀⠀⢀⣴⠶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣶⣦⣿⡇⠀⢨⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣀⠛⠁⠀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠛⢿⣶⣼⡿⠀⠀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠁⢠⣿⢏⡉⣿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⡿⠷⢶⣦⣤⣾⣏⡘⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣿⣦⣀⠀⠀⠉⠛⠛⠿⢿⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠻⢷⣤⣄⠀⠀⠀⠀⢿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣶⣿⠻⣿⡄⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣶⣶⣿⣇⣶⠀⠈⢿⣆⠀⠀⠈⠻⣷⣄⠀⠀⠀ ⠀⠀⠀⣼⣯⡅⠸⣿⣿⣿⠆⠾⣿⣆⠀⠀⠀⠈⢻⣦⠀⠀ ⠀⢠⣶⣿⣸⡇⠀⠠⢿⣇⠀⠀⠈⢿⣦⡄⠀⠀⠀⣿⣇⡀ ⢀⣿⠛⠙⣿⡃⠀⠀⠈⢿⣧⠀⠀⠈⠁⠀⠀⠀⣤⣿⢿⡇ ⣿⣿⣦⡀⠹⣷⡀⠀⠀⠈⠛⠀⠀⠀⠀⠀⢀⣶⣿⠃⢸⡇ ⢹⣧⠙⠛⢷⣿⣧⣄⣀⡀⠀⣀⣠⣤⣶⡾⠟⠋⠉⣀⣾⠇ ⢨⣿⠀⠀⠀⠀⠉⠉⠉⠙⠛⠋⠉⠉⠀⠀⠀⠀⣤⣿⣏⠀ ⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⢻⣿⠀ ⠈⠛⣿⣷⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡟⠿⣿⣿⠇⠀ ⠀⠀⠸⣿⠈⠛⠃⠀⠀⠀⠀⠀⠀⠀⠘⢫⣥⣾⢿⣿⡇⠀ ⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⠟⠃⠀⣼⡇⠀ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣿⠿⠿⠃⠀⠀⢰⣿⠁⠀ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠁⠀ ⠀⠀⠀⢸⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣏⡀⠀⠀ ⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀ ⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀ ⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀ ⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧ ⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠳⠶⣄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣾⠿⠋⣿⣿⣿⣿⣿⣿⣿⣥⣤⣄⡀⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⣀⣀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⡏⣹⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣛⡋⣉⠉⠀⠈⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣿⣿⣿⣿⣿⡟⠃⣿⣿⣿⣿⣋⣿⣿⣿⡿⣿⡿⠋⢈⣭⣿⣿⣿⣿⡷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⢻⣿⣿⣿⣿⡗⠀⠘⢿⣤⣨⡿⠛⣿⡟⠙⠋⠀⠀⠟⣿⣿⣿⣿⡛⡇⠈⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀ ⠀⠀⠀⠸⣿⢹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⢻⣟⠉⣹⣿⠇⠀⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀ ⠀⠀⠀⠀⠿⠀⢻⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⢰⣿⣿⣿⣿⣿⢿⣿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣿⣯⠻⣦⣄⡀⠀⠀⠀⣄⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣷⣾⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠈⠻⣿⢷⣶⣤⣬⣉⣉⣉⣀⣀⣠⣄⣤⣴⣶⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⠀⣿⡏⠙⣿⣿⠛⠛⣿⣿⣄⠘⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣿⠀⠀⣴⣿⡇⠀⣿⣿⠐⠶⣾⡟⢿⡄⠈⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣬⡻⢿⣾⣿⣿⡇⠀⣿⣿⠀⡀⢿⡇⢸⣿⡀⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡟⠈⠙⣿⣿⣿⡿⠽⠿⢳⣿⣿⡄⢾⣟⣛⣿⢿⣿⣴⣾⢟⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠷⠴⠶⢿⣿⡿⠁⠀⠀⣾⣿⣿⣧⠀⠀⠉⠁⠈⢿⣧⣾⠿⠛⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⣸⣿⣿⣿⣿⠀⠀⠀⠈⢳⡈⢻⣷⣄⡀⣸⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠇⠀⠀⢰⣿⣿⣿⣿⣿⡇⠀⠀⠀⠈⢷⡀⠹⣯⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⢀⣾⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠈⢷⡀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣤⣼⡿⠟⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⢈⣷⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣄⣠⣿⣿⣿⣿⣿⠹⡆⠀⢿⣷⣶⣾⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⢹⣿⣿⣿⣿⠀⢿⣶⣾⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⠟⠀⢸⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠢⡀⠀⠁⠀⠠⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⢀⡀⠐⠨⢑⠢⠀⢀⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠊⠀⠐⠠⡈⠻⢌⡗⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢀⠀⠀⠀⡰⠊⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⡐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠈⠂⠀⠙⠤⡀⠑⠢⡀⠀⠀⠀⢀⠴⠊⠉⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⢀⣵⠆⠀⠀⠀⠀⠀⠀⠀⡸⠁⢠⠊⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⢢⠀⠀⠀⠀⠀⠀⠀⠠⠡⡐⠄⡀⠀⠀⠈⢢⡀⠀⠐⢤⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡤⡟⠀⠀⠐⠒⠀⠠⠀⡀⡐⠀⣠⠃⠀⠠⠀⠎⠀⠀⠀⠀⠀⠀⠀⡰⠂⠀⠀⠀⠀⠀⠡⠠⠀⠀⠀⠀⠡⠀⠡⠹⣄⠀⠉⢈⢄⠀⠑⠄⠀⠀⠈⠃⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢊⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠄⣘⠃⠀⠀⠀⠀⠀⠀⢠⡃⠀⠀⠀⠀⠠⠀⠀⢡⠈⡄⠀⠀⠀⠆⠀⣃⢊⢳⠄⠀⠆⠱⡀⠈⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣞⡼⡄⠀⠀⠀⠀⠁⠠⢉⡁⢰⠃⠀⠌⢀⠀⡞⠀⠀⠀⠈⠀⠀⠁⢸⠁⠀⠀⠀⠀⠈⠇⠀⠈⡆⠰⠀⠀⠀⢸⠀⠘⡈⡄⠙⢆⠈⡄⠐⡀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠀⠱⣀⠀⠀⠀⠀⠀⢀⠁⠆⠀⠠⠀⠂⠀⡇⠀⠀⠀⠀⠀⠀⠀⢺⠀⠀⠀⠀⠀⠀⠄⠀⠀⢃⠀⠇⠀⠀⢸⠀⢀⢧⠇⠀⠈⠇⠰⡀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢃⠀⠀⢀⠠⠛⠸⠀⢀⠀⠀⡀⠃⠇⠀⠃⠘⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⡄⡀⠀⢸⠀⠀⠀⠀⢸⠀⡘⠸⠀⠀⠀⠘⡀⣧⠠⠀⠀⠀⡘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠄⡠⠂⠀⠀⢀⡇⠒⠀⡀⠀⠀⠀⠄⠠⠐⠀⠰⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⢠⢧⠁⠀⠈⡀⠀⠀⠀⡹⡄⠠⠀⡇⠀⠀⠀⠑⠛⡆⣇⠀⠀⠄⣄⠂⠄⢀⠀⠀⠠⠀⡐⠀ ⠀⠀⠀⠸⡇⠀⠀⠀⡌⡇⡄⢠⠀⠀⠀⠀⠠⠐⠀⠀⡀⠀⢠⠂⣽⢳⠀⡀⠀⠀⢀⡸⠸⡆⠀⠠⡇⠀⠀⢸⡇⠀⠄⠰⡡⢂⣤⣤⡀⠀⢹⡼⡄⠀⢀⠈⢷⠦⢀⠉⠑⠂⢸⠀⠀ ⠀⠀⠀⠀⢃⠀⠀⠀⠃⠃⠇⢸⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⡷⠘⡄⠗⠒⠉⠈⠇⠈⢣⠀⢠⢡⠀⠀⢢⡁⠘⠀⠀⢰⣟⣥⣌⠻⣶⣾⣹⣶⠀⠀⢢⠀⢳⡀⠀⠐⠀⡷⠀⠀ ⠀⠀⠀⠀⠀⢆⠀⠀⠀⢸⡃⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠊⢸⡞⣠⠀⢸⠀⠀⠈⡀⠸⠘⠂⠀⠀⠀⠀⠀⠀⠸⠞⠷⣏⣣⠘⣿⣿⢯⡄⠀⠈⡕⡀⠹⡀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⣼⣦⡀⠀⢠⡅⠇⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠇⡇⠀⠀⠛⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢇⠀⢘⡇⢸⡇⢚⡇⠰⠀⢣⣙⠄⠱⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣈⢯⠃⠀⡾⠀⠰⠀⠀⠀⢈⠀⠀⠀⠀⠖⠂⠰⡇⠀⠀⠀⠀⣠⡾⠟⣛⣛⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣞⠀⠈⡆⠈⣷⠁⣿⠠⠄⢸⣘⣮⠀⢣⠀⠀⠀⢄ ⠀⠀⠀⠀⣼⣇⢾⣃⠗⣴⡗⢀⠇⠀⠀⢡⢀⠂⠀⠀⠀⠘⡡⠀⢣⠀⠀⠀⣴⡟⠡⠞⣿⣽⡻⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠘⠀⠀⠘⡧⢸⡗⠋⠁⠉⠘⡋⠉⠉⠀⠀⠀ ⠀⠀⠀⢌⡿⣜⡎⢧⡛⡬⠁⣜⡂⠀⢀⠣⣌⠲⣀⠀⠀⠀⢘⣱⡈⢆⣀⣼⣿⠐⢠⣤⡟⡇⠑⢛⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡿⡱⢏⣟⣲⠝⠁⣸⢇⡆⠀⢈⡳⢌⣳⢸⠀⠀⠀⠀⢾⡕⢬⡀⣾⣇⠀⠈⢿⡠⠄⠀⠙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢆⠗⠐⠀⠀⠀⠀⢠⡀⣀⠀⠀ ⠀⣰⢫⢷⡹⡭⠞⠁⣀⡼⣽⢎⡆⠐⠠⣙⢎⣝⡺⡆⠰⠀⠀⠸⣇⠒⠛⢍⠛⠦⡀⠈⠳⢁⡀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢊⣥⠀⡀⡀⠀⠀⠀⢈⢰⠀⠀ ⠾⣟⣻⡦⣥⡠⢖⡫⣕⢣⢿⢎⡆⠠⠁⣯⢚⡬⣓⣧⠀⠆⠀⠀⡿⠀⠀⠀⠁⠂⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠤⣞⠁⡞⢮⣀⣀⠤⠈⣺⠂⠀ ⡳⢌⣟⡱⢦⡙⢮⡱⢎⡓⡞⣎⢶⢡⠀⢫⠞⣴⡻⡼⡄⢰⠀⠀⢧⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡰⠉⠡⣞⠤⣃⡜⢠⠏⡴⡆⡇⠀⠀⡟⠀⠀ ⣷⢡⡚⣵⢢⠹⡀⡗⡬⣑⠎⣗⡚⡬⡐⢸⢻⣼⢳⢯⢷⠀⡇⠀⢸⡩⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⣝⣀⣀⣰⡯⣴⠾⡞⠿⡟⣿⠯⠥⠄⢒⣋⡀⠠ ⡌⢷⢌⢻⢎⡕⣋⠸⡵⣈⠞⣡⡝⢇⡃⠀⡿⢾⢋⡮⢿⣧⢹⡀⠘⡷⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢢⠟⢤⣱⠃⣼⢨⣝⢜⢇⡚⠀⠀⣘⠃⠈⠉ ⠺⢄⠙⡤⢣⠱⡘⠀⠰⡅⢊⢹⡎⡝⣒⠀⢹⣧⠾⣕⠫⢿⡆⢧⠀⢸⠠⠌⡙⠢⠄⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠛⠊⠁⢺⡧⠟⠁⢌⠎⠀⠀⠠⠃⠀⠀⠀ ⢺⠀⠀⠈⠂⡅⠙⣦⠀⠘⡄⠂⡟⡜⠘⡄⠀⣯⡅⣿⠙⣾⣿⡜⢣⠀⣷⡔⢠⠃⠘⠀⢣⠈⡅⠒⢢⣤⣤⠀⠀⠀⠀⠀⠀⢠⡎⠑⡄⠀⠀⠀⡞⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠈⠐⠘⠷⣀⠑⡀⠱⢡⡁⢣⠀⠸⡇⡇⢻⡴⢻⣧⣋⢆⠰⡙⢦⡌⢡⠉⡄⢊⠤⠑⢢⣼⣩⣋⡉⡉⠉⢒⠒⠉⠀⠀⡈⠢⠠⠜⠓⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⡀⠀⠀⢀⣀⣀⠀⠀⠈⡓⠴⣄⢃⢻⡄⠣⠀⢓⣱⠀⠳⣏⣿⣷⡎⠤⠱⡀⠈⢳⡔⡈⢆⣬⡳⠍⣴⡿⠉⠱⡈⠐⠂⢄⡠⠐⠀⠀⠄⠀⠀⠀⠐⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠳⣤⣔⡁⠐⠈⠑⠀⠀⠠⠀⠀⠙⠤⡹⣄⠅⠈⢼⠢⠀⠙⠤⠙⣿⢧⡂⠙⢦⣄⣗⣨⢏⣡⣤⣾⡟⠁⠀⠀⢡⠁⠀⠈⢂⠀⠊⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠀⢀⠀⠐⡆⠀⡀⠀⠁⡏⠻⢦⡈⢣⠈⠢⢀⠀⠈⡷⠙⠢⡈⢬⣟⡵⣊⡵⠚⡹⠃⠀⠀⠀⢘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⠀⠀⠀⢁⢀⡅⠀⠀⠀⠀⠇⠄⢀⠈⠂⠱⢄⠀⠈⢰⠈⠱⠒⠈⡦⣄⣏⠲⡴⠚⠀⡀⠀⠊⣥⢘⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⢀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡰⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢄⠀⠀⠀⠀⡀⠀⠑⠡⣀⠀⠀⡇⠛⠃⢠⠁⠀⠀⡜⣸⠸⠀⠀⠀⠀⠄⠒⠀⠀⠀⠀⠀⠀⠓⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡃⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⠹⢲⠀⠠⠀⠀⠀⢀⠸⠊⢸⡄⠆⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡄⡄⠀⠀⢀⡀⠔⠉⠀⠀⣸⠠⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⡀⠀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡶⠾⡛⢛⠋⢭⠩⡙⡙⢛⠻⠷⢶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⡂⠀⢀⡅⠀⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⠛⢩⣐⠔⢣⠘⠤⡉⢆⠱⢠⣑⡌⢢⠉⡃⠔⣋⠛⢷⣤⡀⠀⠀⠀⠀⠈⠉⠉⡆⠠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡶⠛⠁⠀⠠⠚⠀⠈⠀⠈⠀⠁⠢⠘⠄⣂⠙⣦⠑⡌⠒⡄⢩⠈⡜⠻⣷⣄⠀⠀⡁⠀⠀⠃⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠀⠀⠀⠀⣠⠇⠀⠀⠀⠀⠀⢀⠀⠐⡀⠄⠡⠀⡍⠰⢡⠘⡄⢣⠐⡡⢌⢻⣦⠀⠀⠀⠀⠀⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡟⠁⢀⡀⠤⢤⣶⡟⡐⣲⡄⠤⡐⢄⠢⡐⠤⠐⡈⢄⠡⡤⡁⢆⠒⡈⢄⠣⡐⢡⢂⠹⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡟⠲⡑⢢⠐⣬⣿⡿⡁⢞⣽⡁⢆⠱⡈⠒⠤⢁⡣⡘⡄⢣⣷⢸⢀⣎⠰⠌⣂⠑⠢⢌⠢⠹⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⠜⡠⢑⡮⢱⣿⢹⣇⢡⣿⣯⠐⢌⠰⠁⡍⡘⣶⢡⢸⡏⣸⣿⡖⠌⣾⣇⠘⠤⣉⠒⢌⠢⡑⢻⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⡟⢡⠊⡄⣹⣇⣿⠃⢸⣇⣿⢹⡏⣛⠊⡔⢡⠒⢤⡟⣠⣿⣧⣿⡍⣿⠜⣼⣿⣈⠒⠤⢉⠂⢆⢹⢈⣿⡀⠀⠀⠀⠀ ⠲⣶⣞⣛⣡⣼⠄⢣⡐⣹⣾⡇⠀⠀⣀⣁⡸⢇⡤⠇⢌⣢⢘⣼⢃⣾⢿⣿⠏⠁⢻⡇⣿⣿⠇⡘⢄⠣⡘⣀⠏⣦⢽⡇⠀⠀⠀⠀ ⠀⠈⠉⠛⢻⡟⣨⢼⠰⣹⣿⣤⣶⡿⣟⣿⣿⣷⣄⠀⠀⠈⠉⠉⠛⢉⡿⣁⣀⡀⠘⠃⠟⢻⣇⠘⡄⢣⠐⡘⣎⠜⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⣻⡇⣧⢂⠇⣻⣿⣿⠋⣼⣁⣸⡿⢻⡇⠀⠀⠀⠀⠀⠀⢤⣾⣿⣿⣿⣷⣦⠀⢸⡧⠑⡌⠄⢣⠐⣺⡖⡈⠿⣦⣀⠀⠀ ⠀⠀⠀⠀⢹⣎⣷⠸⡄⣹⣿⡟⠂⢿⡓⡛⠛⣿⡇⠀⠀⠀⠀⠀⠀⣼⣅⣸⣿⠿⣧⠻⣿⣼⡧⢑⠨⣜⠠⣧⢸⣿⣷⣬⣴⣿⠿⠖ ⠀⠀⠀⠀⠸⣷⢻⡆⠥⢸⣿⡇⠀⠈⠻⠶⠾⠋⠀⠀⠀⠀⠀⠀⠀⣿⡎⠛⠟⣯⣿⠀⣿⣿⡇⠘⠄⣿⢠⡇⢺⣿⣽⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⣯⣷⡀⢎⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣔⣠⣽⠏⠀⠋⣾⣁⢣⢘⡿⢼⡐⢾⡿⣽⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣿⣧⡂⢻⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⢰⡏⠌⣴⣿⢏⠃⣼⣿⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣦⣻⣿⠿⠿⠶⣤⣄⣀⠙⠲⠦⠴⠖⠀⠀⠀⠀⠀⣀⣠⣴⡿⡱⢌⣾⣏⣦⣿⣿⠿⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠆⠀⠀⣾⣿⡿⣿⣿⣷⠶⠶⢶⣶⣾⣿⣿⣿⣿⡿⣑⣴⣿⡿⣭⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣻⣿⡏⠛⠳⠚⣿⣿⡿⣿⣿⣿⡿⠞⠋⠽⠿⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣯⣷⣶⣦⣤⣿⣿⣟⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⣿⣯⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⡷⣫⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⢯⣷⣿⡽⠛⣿⣿⣿⣯⣿⣿⣿⣿⢻⣯⡷⣏⣿⣻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⣯⣷⣻⣯⣟⣶⣿⣿⣿⣿⣿⣿⣿⣷⣠⢿⣿⡽⣲⢯⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⣬⢿⣿⣷⣫⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⣛⣿⣿⣽⣛⣞⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣾⣁⣸⡿⣿⣿⣿⣿⣷⣽⣿⣇⡀⣿⣽⣷⣟⡋⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣳⢯⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣻⡽⣞⣿⡏⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠷⣿⡟⠛⠛⠛⣻⣿⠿⠿⣿⣧⣟⣭⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣇⠀⠀⠀⣽⢹⡀⠀⠉⠹⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⢸⡇⠀⠀⠘⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡦⢤⣴⣿⠀⣧⣀⣀⣨⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣭⣽⠿⠇⠀⣿⠯⢿⣻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⠤⠐⠒⠊⠈⠉⠈⠒⠒⠠⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⣪⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢦⠀⠀⠀ ⠀⢀⣪⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⣆⠈⣷⠄⠀ ⢀⡞⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⣴⣿⡦⣿⣹⡄ ⢨⣝⣡⠄⠀⠀⠀⠀⠀⠀⠀⠤⠟⢀⣴⡾⢋⣿⡿⠃⠈⣧ ⡟⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣩⣤⣶⣦⣼ ⢰⠷⣸⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡭⠚⠛⣿⡷⡝ ⠈⡖⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⡄⠾⠟⣼⠃ ⠀⠈⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⠤⠔⢊⠂⠀ ⠀⠀⠀⠑⢤⣀⡢⠄⠀⣀⣀⠀⠀⠀⠀⠀⣀⡠⠔⠁⠀⠀😡😡😡😡😡 ⠀⠀⠀⠀⠀⠈⠛⠻⠿⣃⣴⣂⣦⠿⠿⠛⠉⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠷⣶⣶⠶⣶⣶⠶⢦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠛⠉⠈⠳⠛⠼⣶⣦⣀⡀⠈⠐⠘⢻⣷⣶⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⡄⣠⣾⣿⡿⢿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠑⢀⣄⠀⠂⣄⡈⠃⠀⠀⠙⣿⣿⣿⣿⣿⣅⡴⠀⢯⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⢇⡆⠀⢂⣰⣟⡹⡄⠀⡟⠻⣄⠀⠀⠀⠘⣿⣿⣿⣿⣿⡇⠀⠈⠎⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣼⡇⠀⢹⣏⣁⡀⣧⠀⡇⡏⠉⠻⣶⡄⠀⢹⣿⣿⣿⣿⠇⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡿⡇⠀⢹⣿⣿⣧⠘⢧⣧⣾⣷⣶⣿⡀⠀⠀⣿⣿⡏⣿⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠿⠀⣷⠄⣼⠿⣿⣿⠠⠤⠈⣿⣿⣿⡟⢧⡀⠀⣿⣿⣿⡏⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣆⢿⡀⢿⠋⠀⠀⠀⢶⣿⣿⠇⣼⠂⣰⣿⣿⣿⡇⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣼⣷⣦⣄⣀⣰⣆⣀⣡⣣⣤⡟⢠⣿⣿⠟⢸⡇⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⣿⣿⡿⣿⢿⡟⣿⣿⣿⠟⣿⠁⠀⢸⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠻⣹⣿⠛⣷⢥⣾⢿⣾⠻⣇⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⢀⣼⣿⣿⠁⢸⣏⢋⣿⣤⣿⡄⠀⠀⢰⡇⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣠⣾⡿⠟⠃⠀⣿⡯⣍⣿⠛⢿⣷⡀⠀⢸⡇⠀⠀⡀⠀⣿⣄⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⠟⣩⣿⠷⠀⢸⣿⠃⣸⡏⠀⠈⢻⣷⡄⢸⡏⠄⠀⠀⠀⠹⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⣤⣠⡶⠟⣩⣿⡇⣿⣿⡟⢋⠀⢠⣿⣿⢴⠟⣇⠀⠀⠀⢹⣿⣾⣧⡀⢄⠀⠀⠄⠹⣄⢻⣆⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⠉⠉⠉⠉⢛⣯⡉⢻⣿⣶⣶⣿⣿⣯⣻⣋⣿⠄⠀⠀⠘⣿⣿⣿⣷⣬⣷⡄⠀⠀⠈⠛⠿⣷⣄⡀⠀⠀⠀ ⢸⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣧⣥⠟⠁⠀⢹⣿⣿⣿⡇⠲⡄⠀⠿⠋⢸⣿⣿⡟⣧⠀⠀⠀⠀⠤⠤⢈⣛⢷⣄⠀ ⠀⠻⠟⠛⠻⠏⠙⠋⠈⠀⠀⠀⣿⠠⠀⢰⣼⣿⣿⢿⣷⡰⣆⠠⡄⠀⣼⣿⢿⣽⢿⣷⣤⣤⢶⠶⠶⠾⠿⣷⣽⡧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣦⣶⣿⣿⡿⠋⠈⠻⣿⣛⣿⣶⣾⣿⠿⠛⠁⠀⠈⠈⠁⠀⠀⠀⠀⠈⠛⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
please dont post gross stuff on here!! kids who are young like probably 9 year olds are just trying to find cute combos. spread the word (≧ヮ≦) also people who are spreading the word, please do not put curse words. its the same example for kids with the gross things but with curse words. thanks love<3 bye!!(。˃ ᵕ ˂ )⸝♡⸜(。˃ ᵕ ˂ )⸝♡⸜(。˃ ᵕ ˂ )⸝♡
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠒⠚⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠓⠒⠒⠲⠤⣤⣀⠀⣀⣀⣠⣤⠤⠤⠖⠋⣉⠙⠿⠁⣀⣈⡉⢳⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠋⠉⠀⠀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⡤⠀⠀⠀⠀⠈⠉⣉⣤⠤⠤⠶⣶⠻⣯⠉⠳⣄⣸⠁⢸⠇⣺⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠁⠀⢀⣠⣴⡾⠟⠛⠉⠉⠩⢥⣄⡀⠀⠀⠀⣰⠟⣡⡴⠖⠒⠚⠻⡄⢸⠋⢠⠖⢂⠀⢸⡄⠈⢷⡀⠉⠁⢀⡟⢀⡟⠀ ⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⠀⢀⣴⣾⠟⠋⠁⠀⠀⠀⣠⡤⠤⠤⣄⡙⢧⡄⣸⠃⢰⡇⢠⡏⠙⡇⠀⡇⢹⡄⠸⢦⡼⠀⠀⣳⠀⠀⢹⡄⢀⡾⠁⡾⠀⠀ ⠀⡴⠋⣉⣉⠙⢶⡀⢀⣀⣀⡤⠤⠀⠚⠁⠀⣀⣴⡿⠋⠀⣤⠖⠛⡧⠀⡾⠁⡴⠒⢶⡈⢳⠈⣧⡇⢠⠈⢧⡀⠳⠴⠇⠀⢻⠀⠙⠲⠶⠶⠛⠛⠋⠀⢀⡞⢀⡾⠁⣼⠁⠀⠀ ⢸⡇⢸⡇⢈⡧⠰⠛⣉⣁⣠⠤⠶⠒⠲⢤⡘⢿⠉⠀⢀⡘⢧⡀⠐⢦⡀⢧⠀⠧⣤⡼⢃⡼⢠⡏⡇⠈⠳⣄⠙⠒⢚⡄⠀⡾⢀⡏⠀⠒⠚⠛⣿⣦⡀⠈⠛⠛⢁⡼⠁⠀⠀⠀ ⠀⢷⠀⢩⠭⢥⠀⢻⠉⢠⢤⡀⠰⡞⣦⠈⢧⡀⠀⣀⡾⠁⠀⡍⠀⣠⡗⠈⠳⠦⠤⠴⠛⣡⢼⡇⢷⠀⠀⠋⠀⣞⣉⣤⠞⢡⡞⠀⠀⠀⠀⠀⠘⣿⣷⡄⠀⠘⢯⠀⠀⠀⠀⠀ ⠀⠈⡇⠸⡇⠘⡇⠘⡇⠘⡇⢳⠀⢻⠘⣦⣈⡷⢀⡿⠁⠠⠀⠛⠛⣁⣴⠛⠓⠒⠐⠒⣿⡇⢸⡇⢸⡆⠀⠘⠤⣤⡤⠤⠒⢻⣿⣆⠀⠀⠀⠠⡄⠘⣿⣿⡄⠀⠈⢧⠀⠀⠀⠀ ⠀⠀⢳⠀⢳⡀⣻⡀⢻⣤⣽⠼⠷⠛⢁⣤⣉⣀⣾⠁⡄⠀⠈⠉⠉⢹⡏⠀⢠⡟⠀⢠⣿⡇⠈⣧⠀⣧⠀⠀⠀⢿⣇⠀⠀⠀⢻⣻⡄⠀⠀⠀⣷⢹⡘⣿⣿⡄⠀⠈⣧⠀⠀⠀ ⠀⠀⠈⣇⡈⠋⣉⣤⠆⠁⢠⣶⠛⡿⠉⢠⡟⢰⡇⢠⡇⠀⠀⠀⠀⣾⠁⣠⠟⠀⣰⡟⣰⣇⠀⢹⡀⢹⡆⠀⠀⢸⣿⣆⠀⠀⠘⣧⢻⡄⠀⠀⢸⡇⣧⠹⣿⣿⡀⠀⠘⣆⠀⠀ ⠀⠀⠀⠈⠉⠉⢙⡟⠀⢠⣿⢃⣼⠇⢀⣿⠀⣼⠀⢸⠇⠀⠀⠀⢸⣏⣰⠏⠀⣰⠟⣰⠏⢻⠀⠈⣧⠀⢷⡀⠀⢸⡿⣿⣧⡀⠀⢹⡞⣷⠀⠀⠘⡇⠸⡆⢻⣿⣷⠀⠀⢹⡀⠀ ⠀⠀⠀⠀⠀⢀⡼⠀⠀⣾⠇⣼⡟⠀⣼⢏⠀⣿⠀⢸⠀⠀⠀⠀⣿⣿⠋⢀⣴⣏⣼⠏⠀⠸⣇⠀⢻⡆⠈⣧⠀⠘⡇⠘⢿⣷⣄⠈⣷⣹⡆⠀⠀⡇⠀⢻⡸⣗⣿⡇⠀⠈⣧⠀ ⠀⠀⠀⠀⠀⡾⠃⠀⣸⡟⣸⣿⡇⢰⡏⣾⠀⣏⠀⢸⠀⠀⠀⠀⣿⡟⢻⡟⢛⣿⣿⠛⠓⢤⣿⡄⠘⣿⣆⠘⣇⠀⣷⣤⠴⠿⣿⣷⣾⡷⣿⠀⠀⡇⠀⠘⣧⣿⢸⣿⠀⠀⢻⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⣿⣷⣿⣿⡇⣸⣿⠇⠀⣿⠀⢸⡆⠀⠀⢰⣿⣿⠋⣴⠿⠟⠁⠀⠀⠀⠙⢿⡄⢹⠿⣦⠘⣦⢸⡄⠀⠀⠈⠻⣿⣷⣼⡇⠀⡇⠀⠀⢻⣿⡀⣿⡆⠀⠘⡇ ⠀⠀⠀⠀⠀⡷⠀⠀⣿⣽⡏⢻⡇⣻⠏⠀⠀⢻⡄⢸⡇⠀⠀⢸⡟⣡⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣌⣷⢿⣷⣌⢿⣷⠀⠀⠀⠀⠈⠻⣿⣷⢀⡇⠀⠀⢸⣿⡇⢹⡇⠀⠀⡇ ⠀⠀⠀⠀⠀⣇⡀⠀⢿⣿⡇⢸⣷⠏⠀⠀⠀⢈⣷⠈⣿⡀⠀⠸⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣝⣧⠙⠳⣿⣦⡀⠀⠀⠀⠀⢻⣿⢸⡇⠀⠀⠀⣿⣷⢸⡇⠀⠀⡇ ⠀⠀⠀⠀⢀⣨⠷⠀⠈⣿⣷⡿⠃⠀⢀⣠⡶⠛⢹⣷⡻⢷⣀⣠⣷⣤⣤⣶⣶⣶⣶⣶⣦⣤⣀⡀⠀⠀⠀⠙⢿⣧⡀⠘⣿⠻⢦⣀⠀⠀⠀⣿⣿⡇⠀⠀⠀⣿⣿⢸⡇⠀⠀⡇ ⠀⠀⠀⣴⠋⠁⠀⣠⣶⠿⣋⣤⣴⣾⣿⡟⠃⣠⡾⠉⢻⣾⣧⠈⢿⣟⠉⠛⣶⡄⠺⣬⡏⠉⠛⠿⠀⠀⠀⠀⠀⠈⢳⣄⠸⡆⠀⠀⠀⠀⢀⣿⡿⠀⠀⠀⢰⣿⣿⣸⡇⠀⠀⡇ ⠀⠀⠸⣿⠀⠰⠿⠿⠿⠿⠿⠛⠛⠛⣿⠀⣴⠟⠀⠀⠀⠙⢿⣧⣸⡝⢷⡀⠉⠉⢂⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⣷⣿⣆⣀⣀⣠⣾⣿⠁⠀⠀⠀⣼⣿⣿⣿⠇⠀⢸⠃ ⠀⠀⠀⠹⣄⣀⡀⢀⣀⣀⣀⡄⠀⠀⣿⣾⠟⢧⡀⠙⠲⠄⠀⡙⠻⣷⡈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠁⣿⣿⠀⠀⠀⢰⣿⣿⣿⡟⠀⢀⡟⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠉⢻⡀⠀⢻⣿⣧⠀⡿⢶⣄⡀⢾⡿⠀⠈⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⢠⣿⣽⣿⡟⠀⠀⣼⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⣀⠀⠀⢻⣷⡇⠀⠈⠙⡛⠛⠶⣤⡀⠀⠀⠀⠀⠀⢀⡐⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡏⠀⣠⣿⠋⠛⠛⠋⠀⢠⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⡟⠀⢠⣿⠀⠀⣠⣾⠃⠀⢠⣌⠛⢶⣄⡀⠀⠀⣿⢻⠀⠉⠛⠒⠒⠒⠒⠒⠂⠀⠀⠀⠀⣀⣴⢟⡿⢁⣴⡿⠁⠀⣤⠀⣠⠶⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠀⢀⣾⣯⣴⣾⣿⣁⣤⣶⠿⣿⠀⢀⣿⣿⣷⣶⣿⠸⣧⣀⠀⠀⠀⢀⣀⣀⣠⣤⣴⣾⡿⠛⣻⣿⣵⣿⣿⡆⠀⢸⡟⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠈⠉⠉⠛⠛⠛⠛⠉⠁⠀⣿⣧⣾⣿⣿⣹⣿⣿⡀⠻⣿⠿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣾⡿⠟⠉⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⠀⢀⣀⣀⣀⣠⣤⠀⠀⠿⢿⣿⠁⠈⣯⡉⠻⣷⠆⣈⠳⣶⣿⣿⣯⣤⣤⣤⣿⣄⠀⠀⠀⠀⢠⡶⠒⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠚⠃⠀⠀⠀⠈⢷⡄⠀⢸⣇⠀⠀⠈⣹⡟⣡⠞⣡⠄⠙⣿⣿⣿⣿⠿⠛⠻⢿⣦⡀⠀⠰⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠘⣿⣆⠀⡾⢫⡿⣧⣴⠋⣴⣆⡇⠈⠙⠓⠶⠤⣄⣀⢹⣷⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠘⢿⣿⢧⡿⠀⠀⢉⣿⠟⠻⢷⣄⡀⠀⠀⠀⠀⠉⠛⣿⡄⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠘⢿⣾⣧⣤⣤⡾⠁⠀⠀⠀⣨⣿⣷⣦⣤⣄⣀⣠⣿⠇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣦⠶⠶⠶⠦⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠉⠙⠳⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠈⠻⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣶⣶⠦⣤⣄⡀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠰⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢶⣌⠙⢷⣄⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⢹⡿⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠈⠇⠈⠛⠶⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣄⣹⣧⠄⢻⡿⢸⠀⠀⠀⠀⠀⠀⡇⠀⠀⣿⠀⢸⡇⠘⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠈⠙⢷⣄⠀⣀⣤⣴⠞⠋⠉⠉⠁⠀⠀⠈⠉⠙⠒⠧⣌⠀⠀⠀⠀⢀⣴⠇⠀⢠⡟⢠⡟⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⣻⠟⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡄⢀⡠⢟⡟⠀⢀⣼⣧⠟⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⣇⠀⠀⡀⠀⠀⠀⢀⣴⣊⡵⠿⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠴⠯⣤⣴⡾⣋⡁⠀⣀⣴⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣆⠀⠉⠛⠯⣭⣉⣉⣀⣠⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠙⠻⣿⡛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢷⣤⣀⣞⡥⠞⠁⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠉⠀⠀⡄⠀⠀⣸⠀⠀⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣠⣴⠾⣛⣉⠤⠖⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢔⡿⠃⠀⠀⢀⣼⠁⠀⢠⡇⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⠿⣿⣛⠙⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠔⠒⠉⣠⠔⠋⠀⠀⢀⡤⣿⠃⠀⣠⠟⡇⠀⢰⠐⡄⠀⠀⢿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠛⠷⣶⣤⣄⣀⣄⠀⠀⠀⠀⠀⠐⠒⠊⠉⣀⣠⣤⠶⠋⠁⠀⡀⢄⣪⠟⡻⠃⢀⡴⠃⠀⣧⠀⢸⠀⢣⠀⠀⠀⠻⢧⣄⣀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⣴⣿⠀⠀⣼⣩⡏⣛⣓⣲⠖⠶⡖⣺⣭⣛⣉⣠⣴⠶⠬⠟⠚⠉⢀⡜⣁⠴⠋⠀⠀⠀⢹⠀⣾⠀⠸⡗⢤⣀⠀⠀⢈⣉⣛⣿⠶⠆ ⠀⣀⣾⠛⠳⡈⢻⣦⣰⠋⢠⡇⠀⠀⠀⣤⣸⠃⠀⠀⠀⠀⠀⠈⠲⡀⠀⢀⡪⠞⠊⠁⠀⠀⠀⠀⠀⢸⢠⢿⠀⠀⢳⠀⠘⣿⠛⠛⠉⠁⠀⠀⠀ ⢰⡿⢉⠘⢆⠈⣾⢿⣯⡀⠀⡇⠀⠀⠀⠇⣸⢶⣦⣤⣀⠀⠀⣀⠀⠈⠳⠆⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡼⠘⡇⠀⠘⡆⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠸⣧⣀⡑⣴⡿⣡⡾⣿⡱⣄⢷⠀⠀⠀⢇⣿⣀⣈⣙⣛⣿⣶⣬⡑⠢⠀⠀⠁⠀⠀⠀⠀⢠⢤⠤⢔⡿⠁⠰⣇⠀⠀⠸⡄⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⣻⢯⡁⠉⠙⠁⢸⠄⣿⣾⡄⠀⠀⢸⣟⠛⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⣠⠔⠂⠀⠀⠀⢰⣿⡇⠀⠀⠹⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠀⣿⣦⣀⠀⡾⠀⣿⡽⣳⣄⠀⢸⣽⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⡿⠿⠟⡾⠀⠙⣦⡀⠀⠙⣷⣄⡀⠀⠀⠀⠀ ⠀⠀⣿⢀⣿⣿⣿⣷⠃⣰⣟⢯⣳⢻⣦⡀⣿⠀⠀⠀⠀⠀⢀⣠⠤⢤⣄⣀⡀⠀⠀⠀⠀⠀⠈⠛⢿⣦⣴⠇⠀⢸⡇⣏⠗⣦⢤⣭⣿⣿⠿⠀⠀ ⠀⠀⠹⣏⢿⡿⠟⢁⣴⠿⣜⡯⣞⡳⣽⢻⣾⣤⣀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠉⠙⢲⢤⡀⠀⠀⠠⢄⠥⣏⠀⢀⣿⢹⠻⣞⢥⣾⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠛⠷⢶⣯⣷⣫⢽⡞⣵⢻⣜⣿⢻⢿⣶⠻⢭⣑⡾⢆⠀⠀⠀⠀⠀⠀⢈⠞⠁⠀⠀⠀⠀⠀⡏⢀⣼⣿⢸⣦⠿⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢻⣿⣿⣿⣾⣵⠋⣼⢸⣷⣦⠀⠀⠈⠑⣦⣤⣤⣴⠒⠉⠀⠀⠀⠀⠀⠀⢰⠃⣾⣿⡏⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣯⡷⢟⣾⠃⢿⣻⣷⡲⠤⣄⣀⣀⣀⠀⢀⣀⣀⣄⣠⠤⠞⢉⣾⣿⣯⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣷⣾⡛⠁⢀⣸⣷⣹⣷⠦⡰⢻⣿⣯⡿⣿⢻⣇⣯⠇⣠⡴⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⡟⣏⣁⠼⣷⣻⠀⢈⣿⣿⡟⣠⣿⣜⣿⣧⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠚⠉⠀⠀⠈⣿⣤⣾⢿⡿⠛⠛⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡴⠶⣶⣶⢾⣯⣞⡀⠀⠀⠀⠀⠀⣯⣸⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⣾⢯⣉⣞⣙⣶⣧⣼⣿⣶⣶⣾⣷⣤⡀⠀⠀⢹⠈⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣧⠖⠋⢙⣿⣿⢿⣫⢟⡽⣷⣿⡹⣟⡿⣦⣄⠈⣇⠀⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣙⣳⡶⣿⡻⣝⢮⡳⣏⢾⡱⢧⡻⣜⡳⣭⢻⣿⣿⡀⠀⠘⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠋⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⡼⠇⠀⠀⠀⠘⡆⠀⠀⠐⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠓⠢⢼⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠈⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⢀⡼⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⢠⠞⠀⢹⡄⠀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⢸⡁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⡿⣯⡷⡴⢦⣤⡠⣶⡶⠀⢷⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⡾⠀ ⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⣼⣥⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⠀⠈⢧⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⡇⠀ ⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⠛⢦⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⠳⠀⢳⡀⢹⡇⠀⠀⠀⠀⠀⡾⡇⠀ ⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠘⠀⠀⠹⣼⡇⠀⠀⠀⠀⢠⠇⠀⠀ ⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⠁⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⡾⠀⠀⠀ ⠀⠀⢠⡏⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠁⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⢸⠁⠀⠀⠀ ⠀⠀⡾⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⡟⠀⠀⠀⠀ ⠀⣴⠓⣾⣳⣀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠃⠀⠀⠀⠀⠀⠀⢸⡇⢀⠇⠀⠀⠀⠀ ⣾⠃⠀⠀⠀⠑⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠈⡇⢸⠀⠀⠀⠀⠀ ⠹⡀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀ ⠀⢳⡄⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣿⠀⠀⠀⠀⠀ ⠀⠀⣷⡄⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⡏⠀⠀⠀⠀⠀ ⠀⢀⡇⢹⣄⠀⠀⠀⠀⣀⠉⠓⠶⢄⡀⠀⠀⠀⠀⠀⢀⣠⠴⠋⠣⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⣸⣧⠀⠀⠀⠀⠀ ⠀⣴⣿⠋⠘⣆⠀⢰⠶⠤⢍⣛⣶⠤⠿⣷⣦⡀⠒⠚⡟⠀⠀⠀⠀⠈⠛⠢⠤⡄⠀⠀⢀⡴⢯⠴⣳⠇⠀⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠘⢦⡈⠻⣖⠤⣤⣉⣉⣹⣯⣭⠉⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠛⣫⣼⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⣄⠉⢦⡀⠀⠀⠈⠉⠁⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢿⣷⢚⡝⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢶⣷⠇⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠷⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⠿⣟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⡏⠀⠀⠀⢣⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣟⠧⠤⠤⠔⠋⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⡀⢀⣶⠤⠒⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠈⢿⣆⣠⣤⣤⣤⣤⣴⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⢿⢿⠀⠀⠀⢀⣀⣀⠘⣿⠋⠁⠀⠙⢇⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⢇⡞⠘⣧⠀⢖⡭⠞⢛⡄⠘⣆⠀⠀⠀⠈⢧⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀ ⠀⠀⣠⣿⣛⣥⠤⠤⢿⡄⠀⠀⠈⠉⠀⠀⠹⡄⠀⠀⠀⠈⢧⠀⠀⠀⠈⠻⣦⠀⠀⠀ ⠀⣼⡟⡱⠛⠙⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠹⣧⡀⠀ ⢸⡏⢠⠃⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠸⣷⡀ ⠸⣧⠘⡇⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⣿⠇ ⠀⣿⡄⢳⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀ ⠀⢹⡇⠘⣇⠀⠀⠀⠀⠀⠀⠰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣼⡟⠀⠀ ⠀⢸⡇⠀⢹⡆⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢳⣼⠟⠀⠀⠀ ⠀⠸⣧⣀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢃⠀⢀⣴⡿⠁⠀⠀⠀⠀ ⠀⠀⠈⠙⢷⣄⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⣠⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣷⣦⣄⣀⣀⣠⣤⠾⠷⣦⣤⣤⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⡍⢷⣤⡈⣻⣿⢛⣿⠝⣻⢷⡉⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠘⣏⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⢀⡼⠮⠟⠋⣹⣗⣿⣷⣺⣿⡷⢟⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠴⠒⠒⠦⣙⣷⠲⢜⣷⣕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡱⢺⣿⠷⣾⣝⢾⡟⢻⣿⡖⠁⢻⣋ ⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⣸⣟⢿⣶⣤⣉⡉⠁⠒⠒⠒⠒⠒⠒⠒⠲⠦⢤⣀⣠⠞⠀⢸⣟⠀⠙⠙⡷⣕⣶⣯⢳⣤⣼⢧ ⠀⠀⠀⠀⠀⡀⠀⣸⠁⠀⡀⣴⠝⢫⣖⢚⡭⠵⠞⠦⡤⣿⣶⣋⡥⠖⢁⡠⠔⠀⡀⠈⠂⡜⠁⢀⣤⣾⣿⣤⣴⣀⣛⣿⣮⣻⠷⢿⣿⡿ ⠀⠀⠀⠀⠈⣀⠔⢻⠀⠀⡔⣇⠀⢰⠟⠁⡀⢄⣼⣥⣿⣿⣿⣦⣵⠞⠁⣀⡠⠊⠀⠀⠸⣄⣀⣿⣿⣿⣿⣿⣿⣧⣼⡿⢿⣯⡳⡞⠉⢃ ⠀⠀⠀⣠⠞⠁⠀⢠⠧⢤⠚⢻⣄⠸⣤⢚⣵⣾⠈⣿⣿⣿⣿⣿⣿⠀⣠⠞⢀⠔⠁⢀⡠⢿⡟⠯⡁⢰⣶⠀⠉⠙⣻⠿⣿⣷⡽⡤⠀⠀ ⠀⠀⠸⠁⠀⠀⡴⠃⣀⣾⠿⢻⠣⢡⢌⢻⡷⠶⢪⣯⣾⠟⠻⠛⢻⡿⢁⡴⠃⢠⣤⡿⢁⣼⣿⣍⠁⠀⠀⠀⠀⢀⣿⣿⣿⡟⠁⠀⠀⠀ ⠀⠀⠘⣄⠴⠮⡠⢾⢟⣥⣶⣿⣿⣤⠀⣿⡳⣴⣿⡟⠙⠠⠤⠤⠼⡵⠋⣀⡴⣿⠟⣠⣿⠟⣿⠈⡷⢦⣤⠤⠚⣿⣏⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡝⡄⠀⢱⡷⠛⣻⣿⢿⣿⣯⠡⠀⠀⠀⣿⢀⣤⣤⣤⣤⡀⠀⠚⠻⢟⣡⣞⣿⣋⠁⢸⢸⣷⢸⠈⡆⡆⢸⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⡼⣄⡎⠀⠀⢸⣿⣛⣽⣿⣷⣶⣠⡮⢿⠟⣁⣹⣿⣿⠁⠀⠀⠀⠉⠈⠙⠊⠈⢁⣦⣿⢛⡇⢸⣇⠜⠉⢻⣿⡀⠀⠀⠰⠀⠀ ⠒⠲⢬⡢⡘⢜⣟⢆⣜⣹⣽⣿⣛⣿⣿⣿⣋⣽⠈⢦⡳⣈⣙⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⣽⢡⡟⠱⣢⡟⢰⡶⠘⢻⡇⠀⠀⠀⡀⠀ ⠀⠀⠀⢟⠓⢮⣘⡿⣽⣿⣣⠸⠉⢯⣻⣿⣯⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⣖⡛⠛⠃⣸⣟⢁⡀⠀⢺⢾⣤⡄⣾⡇⢀⢴⠜⠀⠀ ⠀⠀⠀⠘⡄⠀⠉⢯⣿⡜⠀⠀⠀⡸⠘⠿⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⠴⢋⣄⣽⡑⠊⣶⣶⡁⠁⢹⣃⣰⠁⠀⠀⠀ ⡀⠀⠀⢠⡇⠀⠀⢸⡉⠙⢦⡐⠉⠣⡀⡄⠀⣘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢒⣁⣴⣫⢻⠟⠀⡀⡟⢻⢏⣷⡏⢩⣣⡀⠀⠀⠀ ⠂⢀⢀⣘⡇⠀⢀⡜⠑⢦⣴⣇⣀⢀⢹⡿⣿⣿⣿⢢⡀⠀⠀⠀⠀⠀⣀⠴⠞⠓⠚⢛⣿⣵⡿⡫⠀⣴⣷⣿⡟⣿⡾⣷⢧⣙⠝⡶⠒⠀ ⡷⠉⢉⡉⡷⠐⠺⠇⡀⢐⡥⢬⣾⠿⠙⣿⣿⣯⡻⣷⣿⡦⡀⠀⠀⠘⢁⣀⣤⣤⣾⠿⠿⠛⣊⣤⣾⣾⣿⣿⢰⡟⣿⣿⡨⢋⢤⠸⠀⠀ ⣴⣧⣤⡿⣿⣯⢴⣀⠽⣇⣽⠏⠁⣠⣾⣿⣷⣿⣿⣿⢿⣿⣿⣛⠿⠿⣷⣿⣽⠛⠋⠉⢉⠍⢿⣿⣿⣯⣾⣫⣾⣿⡿⡳⢡⡶⠘⠀⠀⠀ ⣿⢳⣿⣿⣿⢯⣿⣿⣷⠟⣁⣴⠿⣿⡽⢶⡀⠉⠁⠉⣻⡿⣿⠻⣿⣿⣿⡿⢹⣀⡤⢞⡃⢰⢋⠟⡿⢟⡛⢡⠟⠁⢠⡣⣓⡣⢠⠀⠀⠀ ⣿⡻⢫⠭⣯⡹⣿⣿⢏⣴⠿⢷⣺⣏⡶⣫⠿⣄⠀⠀⢠⢿⣟⣻⣯⣿⣿⠓⠀⡋⠀⠀⠈⠉⠙⠚⠓⠒⠒⠲⣤⠿⠚⠚⠣⡙⢾⠧⣄⡀ ⣷⠱⡙⠤⠿⢣⣿⣿⣿⡿⢿⢟⣵⠿⣟⣡⠞⣩⢟⣶⡼⣸⣿⣿⡿⠛⡏⢩⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠉⠀⠀⠀⠀⠀⠈⣦⡱⣿⣿ ⣿⣿⣾⣽⣹⣽⣿⣿⣿⣷⣷⡟⢵⣶⢈⣽⠿⣿⡅⠀⠀⠀⠈⠙⢿⡓⠿⡆⠉⠀⠀⠀⠀⠀⠢⢀⢀⠎⠌⠀⠀⠀⠀⣀⣠⢤⣈⡙⢦⣻ ⣙⠉⢿⣿⣿⣿⣿⣿⣯⣼⣿⣥⣀⣴⠟⣁⢾⣧⡾⠀⠀⠀⠀⣤⢺⣀⡜⠉⡩⠓⣐⣖⣾⠦⣀⠀⡏⠀⠀⠀⠀⢀⣮⠋⠀⠀⠈⢻⠛⠛ ⡈⣧⣿⣿⣿⣿⡏⣿⠿⣿⡅⣩⣿⣷⣞⣾⡾⠋⢷⣴⣾⢶⣤⣿⣿⣿⣿⢟⠓⠋⠁⠈⠀⠉⠪⡙⡇⠀⠀⠀⠀⢸⠃⠀⠀⡤⠀⠀⠀⠀ ⣙⠛⠻⣿⣿⣿⣿⡿⣴⡾⣿⣿⣿⣵⡿⠋⠂⣠⣼⣷⣿⣿⣿⣿⣿⠟⠑⢃⢾⠭⣶⠄⠀⠀⠀⠃⠇⠀⠀⠀⠀⠘⣧⡀⠀⠈⡲⠀⠀⠀
⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟪⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛🟪⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛🟪⬛⬜⬛⬛⬛⬛⬛⬛⬜⬛🟪⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟦⬛🟪⬛⬛🟦🟦🟦🟦🟦🟦⬛⬛🟪⬛🟦⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟦🟦⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟦🟦⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟦🟦⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟦🟦⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟦🟦⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟦🟦⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🟦🟦⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟦🟦⬛⬜⬜⬜ ⬜⬜⬜⬛🟦🟦⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟦🟦⬛⬜⬜⬜ ⬜⬜⬛🟦🟦🟦⬛🟦🟦🟦🟦🟦🏻🟦🟦🟦🟦🟦🟦🟦🟦⬛🟦🟦🟦⬛⬜⬜ ⬜⬜⬛🟦🟦🟦⬛🟦🟦🟦🟦🏻🏻🟦🟦🟦🏻🟦🟦🟦🟦⬛🟦🟦🟦⬛⬜⬜ ⬜⬛🟦🟦🟦⬛⬜⬛🟦🟦🏻⬛🏻🏻🟦🏻⬛🏻🟦🟦⬛⬜⬛🟦🟦🟦⬛⬜ ⬜⬛🟦🟦🟦⬛⬜⬛🟦🟦🏻⬛🏻🏻🏻🏻⬛🏻🟦🟦⬛⬜⬛🟦🟦🟦⬛⬜ ⬜⬛🟦🟦🟦⬛⬜⬛🟦🟦🏻🏻🏻🏻🏻🏻🏻🏻🟦🟦⬛⬜⬛🟦🟦🟦⬛⬜ ⬛🟦🟦🟦🟦⬛⬜⬜⬛🟦⬛🏻🏻🏻🏻🏻🏻⬛🟦⬛⬜⬜⬛🟦🟦🟦🟦⬛ ⬛🟦🟦🟦🟦⬛⬜⬜⬜⬛⬜⬛⬛🌫️🌫️⬛⬛⬜⬛⬜⬜⬜⬛🟦🟦🟦🟦⬛ ⬛🟦🟦🟦🟦⬛⬜⬜⬜⬜⬜⬛🌫️🟦🟦🌫️⬛⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦⬛ ⬛🟦🟦🟦🟦⬛⬜⬜⬜⬜⬛⬛🌫️🟦🟦🌫️⬛⬛⬜⬜⬜⬜⬛🟦🟦🟦🟦⬛ ⬛🟦🟦🟦🟦🟦⬛⬜⬜⬛🏻⬛⬛🟦🟦⬛⬛🏻⬛⬜⬜⬛🟦🟦🟦🟦🟦⬛ ⬜⬛🟦🟦🟦🟦⬛⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬛🟦🟦🟦🟦⬛⬜ ⬜⬜⬛🟦🟦🟦🟦⬛⬜⬜⬜⬛🏻⬛⬛🏻⬛⬜⬜⬜⬛🟦🟦🟦🟦⬛⬜⬜ ⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡰⣸⣟⡼⣿⢈⡾⣽⢯⣟⣿⣳⢿⡡⢂⢣⡿⣾⠛⠻⢶⣤⡀⠀⠀⠀⠀⠀⠈⢧⡘⢤⣳⢉⡔⢣⢜⣿⡄⠀⣠⣴⠟⠋⠀⠀⠀⠘⣷⡌⢣⠱⣸⢯⣟⣾⣿⣯⢿⣿⣿⣾⣿⣿⣟⣯⣟⣾⣻⣾⡑⠦⣗⠂⢠⡇⣂⣠⣤⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡾⠛⠻⢿⣄⠈⠙⢯⣿⣏⢦⡿⣽⣿⣻⣼⣯⣟⡧⠡⣏⡿⣽⠀⠀⠀⠉⠙⠿⢶⣤⣀⠀⠀⠈⠳⣆⠹⣧⡌⢣⢸⣯⣷⣾⣋⡁⠀⠀⠀⠀⠀⠀⠹⣾⣁⠣⣟⣟⢾⣻⢧⣹⣿⣽⣿⣻⡟⣷⣻⢾⡽⣞⣷⣻⡇⡲⢹⡜⡨⡐⡏⣁⣉⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⡿⠷⢒⡦⢌⢳⡀⢠⡾⣿⣸⢿⣽⣿⣷⢯⣷⢾⣽⢡⡿⣽⡗⠀⠀⠀⠀⠀⠀⢀⣬⡿⠇⠀⠀⠀⠘⢧⣻⡽⣆⢚⣷⣳⠈⠉⠛⠻⢶⣦⣄⣀⠄⠀⢹⣷⡂⣿⣞⣯⣿⣧⣾⢿⡽⣞⣷⣻⢷⣯⢿⣽⣻⣞⡷⣧⢑⠺⡇⡔⢹⣇⣉⣛⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣶⡴⠒⢯⡂⠦⡙⣼⠡⣿⣼⢿⣿⣿⣻⢯⣿⣻⢞⣯⡟⣷⡇⠀⠀⠀⢀⣤⡾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣧⣻⣽⠂⠀⠀⢀⠀⠠⢉⠛⠻⠷⢹⢻⣷⣻⣞⡷⣿⣿⣟⣯⢿⡽⣾⣽⣻⣞⡿⣞⣷⢯⣟⣿⢈⠖⢻⣤⡷⢦⣽⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢻⠤⡴⠚⣑⠢⢱⡇⢣⡿⣯⣿⣟⡾⣽⣿⢾⣿⣞⣳⢿⣽⠃⠀⣴⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣿⣧⣶⣬⡐⢈⠡⠀⢌⡁⠂⣽⢸⣷⣻⢾⣽⣿⡿⣾⡽⣯⣟⡷⣯⢷⣯⢿⡽⣞⡿⣾⣽⢊⠬⣙⣿⣳⠎⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢟⡱⠢⣵⣟⣾⢿⣿⡿⢀⢳⣟⡿⣟⣯⣟⣷⣻⣿⡿⣯⢿⡽⣾⡅⠀⠄⡠⢐⠨⠐⡀⠂⠀⠀⠀⢰⣶⢶⡶⣶⡶⡾⠿⠟⠯⠷⣛⣞⡷⣤⠘⠀⠆⠠⠁⢼⢺⡽⣷⢯⣿⡿⣽⣳⣟⡷⣯⢿⣽⣻⣞⣯⢿⣽⣻⢷⣻⡏⡔⢢⢿⣝⣯⡘⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢏⠲⣐⣿⣳⢾⣽⣫⢾⣇⠃⣾⡿⣽⣻⢾⡽⣞⣷⣻⣽⣻⣯⢿⣽⡇⠐⢠⠀⢂⠃⡐⠀⠁⠀⠀⠀⣿⢏⠯⡙⡔⢢⡕⡩⢎⡱⢃⡖⣌⠳⡹⡆⠀⠈⠐⠀⣹⢾⣻⣿⣻⣿⢿⣽⣳⢯⡿⣽⣻⣞⣷⣻⣞⡿⣾⡽⣯⢷⣟⢐⡃⢾⣻⢾⣕⢊⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⡰⢊⢶⣻⣞⣭⣟⡾⣽⣻⢄⢋⣿⣽⣳⣯⢿⣽⣻⣞⡷⣯⢷⣻⣿⣻⣿⠀⠂⠈⠠⠐⠀⠁⠀⠀⠀⠀⣯⠘⢦⡙⣌⠣⡜⡱⢊⡔⢣⠜⡤⢣⠱⣹⡀⠀⣀⣴⣏⣯⣿⣿⣿⣯⣟⡾⣽⢯⣟⣷⣻⣞⣷⣻⢾⣽⣳⣿⣽⣯⣿⣤⣾⣼⢯⣟⡾⡌⢎⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⣉⠖⡡⣯⡟⣷⣞⣧⢿⣹⢷⣿⢈⢲⣿⣳⣟⣾⣻⣞⡷⣯⢿⡽⣯⣟⣧⢻⣽⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡘⢦⠱⣌⠳⣌⠱⢣⠜⣣⠚⡔⣡⣣⡴⢗⠛⣿⠯⣯⣿⣿⣿⢿⣾⣹⣽⢯⣟⣾⣧⣿⣾⡷⠿⠿⠛⢿⣯⢷⣻⣞⣷⣛⣾⢻⡾⣽⣻⡐⡌⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⣋⠕⣢⠚⣼⢷⣻⣳⢾⣽⣫⢿⡽⣾⡨⢼⣷⣻⣞⣷⣻⢾⡽⣯⢿⣽⣳⣟⣾⣏⣿⣿⣿⣿⣷⣶⣦⣤⣄⣀⣀⣀⡘⣇⣎⣑⣆⣳⣈⣣⡷⢬⠖⠛⢩⡏⢡⠒⠈⠈⢹⢸⢟⣿⣿⣯⣿⣾⣽⠾⠿⠛⠙⠉⠁⠀⠀⠀⠀⠀⠈⣿⣯⢷⣻⢮⣟⡾⢯⣽⢶⣻⣇⢌⢋⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢟⠣⡜⠒⣤⣻⢯⣟⣳⢯⣟⡶⢯⣟⡾⣽⣻⣟⣿⡿⠛⠛⠟⠿⠿⠿⠿⣾⣷⣯⣷⣿⣾⣿⣯⣟⣿⣻⡿⣿⡿⣟⡟⠨⠉⠭⠉⣉⣼⠁⠹⣤⣰⠋⠀⢄⡞⡧⠀⢀⣠⣴⠾⣷⠾⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⢯⣟⡾⣽⣻⣞⣯⢷⣻⡆⢊⡜⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠋⢆⠳⣈⠕⣾⡽⣛⡾⣽⣛⣮⣟⣿⣺⣽⣳⣟⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠿⠉⠉⠉⠛⠛⠻⠶⣾⠟⠛⠛⠷⢶⡞⠹⣄⣴⣿⣳⣦⡄⡼⠀⢳⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⣛⡾⣽⡳⣷⢯⣞⣯⢷⣻⠰⢌⢚⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⡤⢋⡜⡰⢁⣾⢯⣷⣻⣽⣳⣟⡾⣵⣞⡷⣳⣽⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠁⡧⢁⠣⣼⠈⠁⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⡿⣽⣳⢟⣳⣟⡾⣭⢿⣹⡇⢎⡒⠼⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⢣⢚⡐⢣⢒⡱⣺⣭⣟⣶⣻⢶⣻⢾⡽⣳⢾⡽⢧⣷⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⣠⠿⠿⣿⡇⠀⠀⠀⠐⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣳⢯⣟⣳⢯⡽⣯⣻⢷⣻⡔⢌⠲⡹⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠟⣌⢃⠦⣉⢆⢃⢶⣻⣞⡽⣶⢯⡿⣭⢷⣻⡽⣻⣞⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠀⠀⡴⣑⢊⠱⡘⡇⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣽⡳⢯⣯⠿⣽⣳⢯⣟⣧⡗⡌⢣⡑⢿⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣼⢏⡚⢤⡉⠖⡬⢌⠦⣟⣷⣫⣟⡷⣯⣻⡽⢯⣷⣛⣷⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⣀⣤⣴⠿⠃⢀⢠⠞⡱⠌⣎⠱⡘⣇⠀⠀⠀⠀⠘⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣾⡽⣻⣼⣻⠷⣯⢷⣞⣳⢿⠨⡅⡜⢌⢿⡄⠀⠀ ⠀⠀⠀⠀⢀⣾⠏⢲⢈⠖⡌⡓⡜⢰⢺⡽⣞⣷⣛⣾⣳⢯⣽⣻⡼⣏⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣶⣾⠋⠁⠀⡀⠠⠀⢻⡌⡱⢊⡔⣉⢲⠝⠀⠀⠀⢀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣛⡷⣽⣳⢿⡽⣛⡾⣽⢯⡗⢰⠘⣌⠚⣷⠀⠀ ⠀⠀⠀⠀⣾⠏⡸⢡⢮⡟⡰⠱⣈⢇⡿⣽⣻⣼⣻⡼⢯⣟⣾⣳⣽⣻⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡆⠠⠁⠠⠐⢀⠈⢷⢡⠃⣼⠜⠃⠀⠠⠐⠈⡀⠄⠘⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣭⡟⣷⢯⣯⠿⣽⣻⡽⣾⣽⠀⢏⡰⣉⢻⣇⠀ ⠀⠀⠀⣼⡏⡒⠥⣳⣿⠱⣁⠳⠌⣼⣻⣳⡽⣶⢯⣟⡿⣺⣵⣻⣞⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣷⣿⣿⡇⠀⠄⢁⠐⠠⠀⠘⠳⠋⠂⠀⠄⡈⠐⡀⢁⠠⠐⠀⠈⣿⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣳⢿⡽⣞⣷⣻⠷⣏⣷⣻⢾⡘⢢⠱⡌⣌⣿⡀ ⠀⠀⢸⡟⡰⢉⣶⣿⣏⠳⢌⠲⡉⣾⣳⢯⣽⣳⣟⡾⣽⣳⢯⡷⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣽⡷⠈⢀⠂⢀⠂⣁⠐⠠⠀⠄⡁⠀⠄⠂⡀⠂⠠⠐⣠⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⢫⣟⡾⣽⢾⣹⢿⡽⡾⣝⡿⡄⢣⠓⡌⠴⣸⣇ ⠀⢠⣿⡙⡰⣣⡟⣸⣇⠣⢎⡑⢆⡿⣽⣛⣾⢳⣯⡽⡾⣽⣻⢞⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣿⣿⢾⣿⣿⣠⣤⣾⣾⣿⣿⣷⣀⠐⠀⠠⠁⠄⢂⠀⢁⣰⣾⣿⢿⣿⣿⣿⣿⢯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡞⣟⡾⣽⣏⡿⣽⢾⣽⣻⡽⢯⡇⠥⢋⡔⢣⠜⣿ ⠀⣾⢇⠲⣱⡿⠀⣿⢄⡋⢦⠱⢸⣻⢷⣻⢞⣟⡾⣽⣻⢷⣫⢿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⡟⢋⠹⣦⣿⡞⡻⣿⡽⣞⡷⣯⣟⢿⣦⣈⠠⠈⠀⠄⣠⣿⣟⣿⣿⣯⣟⢿⣳⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡳⣿⣽⣫⢷⡾⣽⣛⡾⣧⢷⣻⢯⡗⢨⠣⡜⡰⢊⢿ ⢠⣿⢊⣱⡿⠁⠀⣿⠢⢍⠆⣣⢹⣯⢯⣯⣟⡾⣝⡷⣿⣯⣟⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣾⣿⡿⣟⡿⣽⡄⠣⣘⠫⣙⣦⡙⠿⡽⡽⢧⡿⢿⣝⣿⣶⣬⣴⣿⡟⣋⣭⣽⣟⣷⠩⣶⡟⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⣽⡷⣾⢭⣿⣹⠷⣯⣟⡽⣯⢯⣟⢮⢡⢫⡗⡡⢃⢾ ⣸⡇⢎⣾⠃⠀⠀⣿⠱⣊⠜⣄⢺⣽⣳⢯⡾⣽⣫⣽⣿⣷⢯⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣴⣶⣾⡿⣿⣻⢯⣟⡾⣽⣻⣽⣳⢿⣦⡴⠟⠋⠙⠷⡷⢶⠾⢶⣶⡿⣟⣾⣳⡯⠷⡺⣿⣏⠉⠐⢿⠷⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⢯⣿⡿⣭⢷⣏⣯⣟⣷⣫⣟⢷⣻⡞⡇⢎⣼⣧⠣⢩⢼ ⣽⢋⣼⡏⠀⠀⠀⢽⡗⡨⠎⣄⢫⡷⣯⣻⣽⣳⡽⣾⣿⣿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣻⣽⣳⣟⡷⣯⣟⡾⣽⢯⣷⣯⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⢶⣭⣍⣡⠶⡛⢍⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣞⣿⣿⡿⣽⣻⢞⣳⢯⣞⣷⣫⣟⡷⣽⢃⠆⣿⣧⠝⢢⢹ ⣿⢣⣿⠁⠀⠀⠀⠸⣷⢡⠓⢬⢸⣟⣳⡽⣞⣷⣻⣽⡇⢻⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣷⣻⣞⡷⣯⣟⡷⣯⣿⣽⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⡈⠦⠉⢂⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣯⣿⢃⣿⣟⣳⡽⣯⣟⣻⢾⣵⣻⠾⣽⡽⢊⣼⡟⣿⠍⣆⢺ ⣻⣷⡏⠀⠀⠀⠀⠈⣿⣆⡙⢢⠅⣿⣳⠿⣽⢶⣻⣾⡇⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣷⣯⣟⣷⣿⡿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣷⣤⣤⣤⣴⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣟⣿⠃⢸⣿⡽⣎⡿⣵⢯⣯⢷⣛⣾⡻⣗⡟⣰⡟⠀⣿⢊⡔⣿ ⢹⣿⡇⠀⠀⠀⠀⠀⠸⣷⡈⢇⡘⣳⢯⡿⣽⣞⣳⣿⡇⠀⢹⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠻⠛⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣯⢷⣻⢯⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠇⠀⢸⣿⡽⣯⡽⢯⣟⡾⣏⡿⣞⡽⣯⣷⠟⠀⠀⣿⠣⣰⣿ ⠀⠻⠃⠀⠀⠀⠀⠀⠀⠻⣯⠆⡱⢸⣯⢷⣻⡼⢯⣿⡇⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣯⢿⣽⣻⢾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠏⠀⠀⣾⣿⣽⡳⣟⣻⠾⣽⡽⣽⣳⣟⣿⠋⠀⠀⠀⣿⢓⣸⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣯⠴⡙⣾⢧⡿⣽⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⣿⣽⣻⢾⣽⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡏⠀⠀⠀⣿⡷⣯⡽⣏⣷⣻⢷⣻⢷⣽⡟⠁⠀⠀⠀⢸⣿⢰⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⢹⣷⣻⣭⣟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⢾⣽⣻⢾⣽⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡟⠀⠀⠀⠀⣿⣟⣷⣻⡽⣶⢯⣾⣽⣿⠋⠀⠀⠀⠀⠀⢸⣏⣼⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣞⡷⣽⣺⣽⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣯⣟⡾⣽⣻⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⠀⢠⣿⣟⡶⣯⡽⢯⣻⣾⠟⠁⠀⠀⠀⠀⠀⠀⣼⣷⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣯⢾⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⢧⡿⣽⣳⢯⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⢸⣿⢯⣟⡷⣻⣯⡿⠁⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣯⣻⣽⣳⢯⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⢸⣿⣟⡾⣽⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣿⣽⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣟⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢦⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠈⣇⢀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢘⣷⣄⣙⡏⠁⠀⠀⢬⣉⠙⠶⣄⣀⣀⣀⣠⣤⣤⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣼⠿⠟⠉⠉⠀⠀⠀⠀⠀⠉⠙⠛⢿⠉⠉⠁⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⣀⣶⡿⠁⠀⠀⠀⠀⡄⠀⢰⣆⠀⠀⠀⠀⠘⣇⠀⠀⠀⢀⣸⡇⠀⠀⠀ ⢴⠞⠛⠉⢹⡄⢰⡆⠀⠀⢸⢿⡆⠸⡟⣧⠀⠀⠀⠀⢹⡤⠶⠛⠛⣿⡅⠀⠀⠀ ⠸⣇⠀⠀⠸⡇⢸⠀⠀⣶⣿⠤⠿⣆⣿⠙⣳⣄⠀⠀⠈⣧⠀⠀⣺⣽⠇⠀⠀⠀ ⠀⠙⣶⣶⠿⡇⣾⡇⠀⣿⣿⣶⡄⠙⢿⡄⠏⠻⣷⣄⠀⢻⡶⢿⣿⠿⠂⠀⠀⠀ ⠀⠀⠹⡆⠀⣿⠋⢷⡀⣿⡟⠇⠉⠀⠀⠁⠀⠀⢻⡼⣿⠿⠷⣾⣅⡀⠀⠀⠀⠀ ⠀⠀⠀⠹⣾⣷⡶⠾⢷⣸⣷⡀⠀⠀⣆⣤⣴⣤⣾⡿⣏⣀⠀⢻⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣧⣄⣤⠿⣿⣿⣿⢶⣶⣾⣯⣿⢿⠁⣸⠏⠙⠛⠶⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣾⣿⠷⠈⢁⣿⣄⣻⣿⣹⣿⣼⣸⣧⠀⠀⠀⠀⢈⣷⠀⠀⠀ ⠀⠀⠀⠀⣠⣶⠟⠋⠈⢳⣤⣾⡥⢽⡏⣿⠉⣸⡿⢯⣿⢷⣼⠃⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠻⣏⠀⠀⠀⣾⠁⢻⡟⠋⣿⣿⠀⣿⣀⣤⣿⣼⠛⠇⢀⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣇⠀⠀⠈⢷⣿⠟⠛⣻⡟⢀⡟⠄⢀⣿⡇⠀⠀⢸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣸⣧⠀⠀⠀⣿⠆⢰⣿⢢⣼⠃⠀⣾⢿⡀⠀⠀⣼⣿⣷⢲⣦⡄ ⠀⠀⠀⠐⣏⢻⣭⣿⡇⠀⣀⡿⠀⢸⣧⡾⣿⡀⠀⢡⣾⠻⢿⣴⣿⣿⣣⣾⠿⠀ ⠀⠀⠀⠀⠹⣄⠻⠿⣣⣴⠿⠶⠶⡿⠉⣇⠈⢳⣤⠿⣿⣶⡟⠹⣿⠛⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⢷⣾⣿⡟⠛⠶⢼⣇⣀⣿⣠⡴⢿⡖⠛⢯⣙⡾⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⣿⠷⠶⢤⣼⣇⣠⣽⣇⣠⣤⣷⡴⠞⢿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠉⠙⣷⠈⢷⣀⣤⠾⣶⣶⣾⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⡤⡴⠒⣛⣛⣿⣄⣈⣻⡾⢋⠉⠀⠀⢹⣿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⢿⠶⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠛⠁⠀⢸⣶⠀⣿⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠋⠁⠀⠀⠀⠀⠀⣘⡷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠋⠀⠀⠀⠀⠀⠀⣀⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠋⠀⠀⠀⠀⠀⠀⣠⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠋⠀⠀⠀⠀⠀⠀⣤⣴⣛⣁⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢤⠀⠀⠀⠀⠀⠀⣰⠄⠀⠀⠀⠀⠄⠀⠀⣤⡀⠀⠀⢠⡾⠁⠀⣄⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⣄⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⠉⠉⠉⠉⠉⠉⠙⠛⠓⠒⠶⠦⢤⣄⠀⠀⠀⠁⠀⢿⠷⡀⠀⠀⠀⣰⠻⡄⠀⠀⣤⣀⣦⡀⠀⣻⠁⢠⡾⠃⠀⠀⠈⡿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡈⠙⠲⣤⡞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢦⣹⣧⠀⠀⠀⠀⢸⡆⠙⢦⠀⣰⠃⢸⡄⠀⠀⠯⣽⡿⠟⠀⣿⣶⢯⠀⠀⠀⠀⠀⣟⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⡴⣴⠴⣴⢤⣴⢤⣤⣤⣤⣤⣤⣄⣀⣀⣀⣹⣼⠟⠁⠀⠀⠀⠀⣼⡏⠀⠈⠻⠁⠀⣾⡗⠒⠀⠀⡇⠀⠀⠀⣿⠀⠈⢧⡀⠀⠀⢀⡯⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ 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⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣀⡶⠏⠀⠀⠀⠀⢰⡾⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⢿⣶⣸⡷⠈⡇⠀⣾⠀⠀⢸⡇⠀⠀⢾⡏⢿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⡿⠀⡿⢿⡀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠉⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢿⡁⠋⠚⠋⠉⠁⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⠋⠀⠀⠙⣦⡏⠀⠀⢸⡇⠀⣴⡾⠀⢺⡿⢿⣭⣧⡀⠀⠀⠀⢀⡴⠃⣼⢃⡿⠁⠀⠀⠀⠀⠺⡅⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠉⠲⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠓⠒⠢⠆⢶⡦⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⢣⣷⡄⠀⠀⠀⡾⠀⠀⠀⢸⡟⠛⠉⠀⠀⠈⢳⣼⠀⡿⢿⡖⠒⠚⠉⢀⣴⠷⠚⠁⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠦⠤⠤⢦⣴⡶⠞⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡾⢧⢻⣆⣀⣼⠇⠀⠀⠀⢸⣇⠀⠀⠀⢀⣠⢾⡟⣿⠃⠀⠙⠒⠒⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣤⣴⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡤⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣿⢯⡁⢻⠀⠀⠀⠀⣸⢿⠦⣄⣰⣏⣠⣟⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠓⠲⠤⠤⢄⣀⣀⡀⠀ ⠀⠀⠀⠀⣠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣤⣉⠚⣆⠀⠀⣠⣿⣼⣤⠜⢛⣹⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡽⠃ ⠐⢶⡚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⢌⣉⢻⣷⣴⠿⠻⣿⣖⢻⡏⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀ ⠀⠀⠉⠓⠦⢄⣀⡀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠈⡇⠉⠀⢠⡏⠀⢹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠚⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠃⠙⠋⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⡇⠀⠀⠸⣧⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠚⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⣿⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠒⠃⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⠷⠒⠛⠉⠛⠓⠦⣤⣶⣳⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠖⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣻⠽⠀⢀⣠⡔⣦⣄⠀⠰⣟⢻⡁⠉⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⠉⠙⠲⢷⣄⡈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠁⣠⠖⠋⠘⣇⡇⠈⠳⡄⠘⢷⣷⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀ ⠨⠷⣶⡦⢄⡈⠑⢦⡈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⢡⡼⣓⠁⠀⠀⢿⣿⠒⠢⢽⡄⠀⠸⣧⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠙⠒⠯⢤⣽⡀⠉⠲⣄⠀⠀⠀⠀⠀⠀⠀⡼⢹⠇⣾⠻⣁⡟⠀⠀⠀⠻⢾⣉⡾⣷⠠⢐⣿⡆⠂⠀⢳⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⡀⠑⢄⠀⠀⢀⣀⡼⢁⣾⣿⡏⠀⠀⢠⠤⣤⣀⡀⠀⠉⠀⢸⣼⣿⣿⣷⠸⡀⠈⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠳⣾⣿⣿⣷⣼⡭⣿⣧⡀⠀⡼⠀⠀⢸⠀⠀⠀⢀⣼⣿⣿⠟⢻⡀⣧⠀⠘⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣇⠀⠀⢸⠀⣀⣠⣾⣿⡟⠁⠀⠈⡇⢸⡄⠀⢹⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⣛⣿⣯⠿⣻⡿⠛⢿⣿⠓⠀⠀⠀⣇⠈⣇⠀⠈⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠉⣽⡹⣏⣟⣻⣿⣷⢴⡿⢩⣿⡞⠹⡄⠀⠀⣹⣇⠀⠀⠀⣟⠀⢿⠀⢃⠸⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⢰⣯⢳⡝⣦⢻⣿⢏⡾⠁⢸⠀⠷⢶⠿⣿⣿⣿⣿⠀⠀⢀⣏⠰⠌⠀⠸⡐⡽⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⣾⢧⡻⣜⡧⠟⠛⣾⠁⢀⡿⠒⠎⢦⢹⣿⣿⣿⣿⣧⠀⢰⡇⠨⢀⡐⠀⡇⣝⣳⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⢀⡿⣧⣛⣾⢿⡄⢀⣽⣠⣏⠀⠢⠄⡈⢺⣿⣿⣿⣿⣿⡆⣸⠃⠀⡀⢧⠀⢸⢰⠽⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢠⠊⣹⢧⢯⡽⣮⢿⣿⣿⣿⣿⣧⣀⣤⣴⣿⣿⣯⣿⢿⣿⣿⡿⠀⠁⡀⢸⠆⢸⣹⢚⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⡏⠀⣿⣛⡮⣗⠿⣦⣽⠛⠿⣿⣿⣿⣿⣿⢻⣿⣷⣿⣿⣿⣿⢃⡀⠁⡀⢸⢣⠸⡜⣷⢺ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⢸⢸⡿⡼⣭⡻⣵⡿⣯⣙⢚⣧⣴⠒⣋⣡⣴⣟⠳⠴⢿⣿⣾⠀⠠⠀⡼⢣⢸⡕⣻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⢸⡇⠏⣷⡳⡽⢶⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠘⠀⣯⡄⠀⠄⣏⣛⢦⠽⣱⣟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡘⣿⣄⢹⣳⡽⠋⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠹⣶⠀⢸⢣⡝⢮⡹⣥⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣼⡹⢾⠏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠙⢧⣜⡳⣚⢧⢳⡽⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⠂⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⢹⢶⡙⣮⠟⠁⠀ ⠀⠀kyo🍀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⢛⡿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⠟⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣶⣶⡶⢶⣶⣶⣦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠶⠶⠛⠛⠉⠉⠉⠉⠛⠛⠳⢶⣤⣄⠀⠀⠹⣿⣿⣿⣿⣿⣿⣾⡱⢆⡲⢤⠉⡍⢛⠻⠷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⡶⠶⢻⠛⠛⠋⢉⠀⠠⠀⠄⠠⠐⠀⠂⠀⠄⢀⠀⡀⢈⠙⡻⣷⣤⣿⣿⣿⣿⣿⣿⣿⣿⣯⣖⡣⡝⡰⢃⠎⡴⢈⡙⠻⢷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠛⠛⠿⠿⣷⣶⣦⣤⠶⠟⢋⡉⢄⠢⡑⢢⢉⡔⢣⠎⠬⠣⠜⠲⠄⠢⠁⠤⠁⡄⢂⠰⢠⠡⠌⡐⠌⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣹⣕⢫⡜⡰⢃⠬⡑⢢⡘⡙⢳⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠇⠀⠀⠀⠀⣠⣿⠟⣋⡔⣩⢒⡜⡢⢇⡙⢂⠡⢈⠀⡀⠂⠀⠄⡀⠄⠐⠀⠄⠐⠀⠈⠁⡁⢂⠐⡀⢂⠁⢚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣾⣱⣋⢖⡉⢆⠰⡁⠆⣈⠙⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣾⣿⣶⡾⡟⠧⠛⠤⠙⡄⢋⡌⣁⠂⡐⠄⡃⠆⢡⢀⠃⠌⡀⠄⡐⠈⡀⠂⢈⠀⠡⠐⠀⠠⠐⠀⠂⠌⠠⡘⣿⣿⣿⣿⣿⣿⣿⣿⡉⠛⠛⠿⠿⣿⣿⣮⣽⣊⢦⠁⢆⠠⢈⠀⡈⠻⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡿⢋⡁⢒⠠⢣⢌⠳⡌⢇⡒⡄⢆⡱⢌⡰⢉⠢⡘⢌⠢⡑⠢⢄⠡⡐⢈⠀⡐⠀⠂⠁⠄⠂⠁⠌⠠⠁⡔⠩⢿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠉⠙⠻⣷⣏⠦⡘⢄⠂⠄⡀⠂⠙⢧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡟⢣⠜⡤⢓⡌⣎⠵⣊⠷⣘⢦⢳⡘⢦⡑⢎⡔⣡⢂⠐⡀⢂⠁⠣⢌⠢⣁⠣⡘⣀⠂⡁⠌⠀⠌⠐⡀⢁⠂⠠⠑⡌⢛⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣍⠢⠜⠠⠐⠀⠡⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠧⡜⣡⠚⣔⢣⡞⡬⢣⣙⢮⣓⢮⡱⢎⡇⡞⣡⠚⡔⣊⠖⡰⠀⠌⢀⠂⠐⡀⠆⣁⠢⠑⡄⢂⠡⠐⢀⠐⠠⢀⠁⢂⠘⠤⡹⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡌⠱⡈⠄⠡⠐⢀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢏⡴⠣⡍⢶⣙⢮⠳⡡⢎⡝⣾⡹⣌⠧⣊⠵⣑⢋⠖⣡⢋⡔⣃⠒⠤⡈⢀⠂⢁⠠⠉⠄⢂⠁⠎⡰⢀⠌⠠⠀⠌⠐⡈⠐⡠⢃⢿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣆⠱⡀⢂⠠⠈⡀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢏⠖⣡⠓⣜⢣⣞⡉⢲⠡⣏⡜⢧⡻⣌⡳⣜⢢⡑⠎⡜⠤⢃⠲⢌⡩⢆⠱⢠⠐⠀⡀⠂⢈⠠⢈⠐⢠⠃⠎⡄⢈⠠⠁⠰⣁⠰⢈⠚⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⠑⢄⡀⢂⠀⡁⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡾⠁⢧⠹⣜⢯⢖⡩⢆⡝⢤⣋⠷⣹⠶⣱⢎⢷⣸⠱⣌⠊⡅⢣⠘⡰⢈⠆⡡⠊⠔⡀⠐⠀⡀⠄⠈⠂⠌⠒⡌⢲⡀⠌⠐⢠⠃⡬⢘⡹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣏⣆⠐⠠⢀⠐⠈⢀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⢃⡍⢶⡙⣮⣿⢌⠳⡌⡜⢦⡩⢞⡽⣟⢦⣋⠞⣜⡻⢶⣭⣐⠂⢆⠁⠢⠘⡠⠑⠂⠌⠤⣁⠀⠠⠀⠁⠠⠑⡈⠦⡑⢎⡀⠂⠱⢌⠣⡜⣹⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⡦⠀⡐⠈⠀⠄⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢣⡜⣣⢝⣺⣿⣎⠵⡘⡜⢦⠱⣋⡼⣿⣧⢏⡞⣥⢛⢧⣛⢿⣿⣦⣌⠀⠡⢀⠡⠘⡐⠂⠄⠚⢤⡐⠈⢀⠐⠀⠡⢉⠖⡱⡌⡑⢪⠱⡌⡽⣿⣿⣿⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡆⠀⢰⡿⠛⣿⣿⣟⠀⠄⡈⠄⢈⠀⡘⣧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣏⠶⣹⢆⡏⣶⣿⣿⢢⡙⠜⣢⠓⡬⢒⣿⣿⣿⡜⣧⢫⠖⡭⢞⡼⣛⡿⣷⣦⣄⠀⢂⠠⠁⠎⡐⢂⠘⢢⠀⠄⡈⠐⠈⢎⠵⢣⠜⣠⠛⣜⡹⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢰⣇⠀⣾⠃⠀⣼⣿⡃⢌⠠⢀⠐⠀⠄⠠⠘⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡎⣽⠲⣍⠞⣶⢻⣿⣧⡘⠜⣠⠙⠴⡉⢖⣿⣿⣿⣾⣧⣿⣘⢧⡚⣥⢫⡝⡻⢿⣿⣦⣀⠂⠄⠡⠈⡜⠠⢍⢢⠐⠈⡀⢊⠜⣱⢚⠤⡛⡴⡹⣿⣿⣿⣿⢋⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣾⠏⢀⡿⠀⢻⣿⠴⣦⡄⠂⢁⠐⠀⡁⢹⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣜⠲⣏⠼⣹⣾⣏⡿⣿⣎⠒⠤⢉⠆⡉⠎⡴⢻⣿⣿⣉⠛⠛⠿⣷⣶⣧⣞⣭⢓⢮⡛⣿⣿⣴⣂⠡⡐⡉⢆⢢⡙⡔⢠⠂⡘⢥⣋⠶⣡⢳⡹⣿⡿⢉⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣼⢻⡟⠀⢨⠃⠀⢈⡟⠀⢘⣿⡄⠂⠠⠁⠠⠀⢻⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣎⠷⡸⡑⢮⣿⡾⣝⡿⣿⣏⠦⡁⢎⡐⢁⠂⠧⢻⣿⡆⠄⠀⠀⠀⠈⠉⠛⠻⠿⣶⣿⣴⣭⣛⣿⣷⣼⡰⣌⢢⠱⢌⢣⡜⠤⣃⢮⠳⡥⢎⣳⣿⣷⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣸⠇⠀⠀⠀⠀⣌⣷⣴⡿⠛⠁⠠⠁⠠⠁⡐⠈⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡚⣥⠃⣞⣿⣿⡽⣞⣿⣿⣷⣑⠂⡌⠤⢈⠐⠡⢚⣿⣆⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠉⠙⣻⣿⣿⣿⣿⣾⣧⣗⢮⡱⢎⡳⣌⢎⠷⣙⢮⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢰⡏⡌⠀⠀⠀⢀⣴⠋⢻⣯⠠⠁⠌⠐⡀⠁⡐⠀⡐⠘⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣟⠴⣃⠸⣿⣿⣿⣟⣾⣿⡿⠿⣷⣮⡐⡡⢌⠂⡅⠚⣿⣧⠀⠀⠀⠀⠰⠞⠋⠀⢀⣠⣾⣿⠟⠉⠀⠉⠙⠻⢿⣿⣿⣭⣷⣹⣎⢯⡳⢾⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⣴⠟⠁⠀⢸⣿⠠⢉⠐⠠⢀⠁⡀⠂⠄⡈⢽⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣽⢢⡝⣽⣿⣿⣿⣿⣿⣿⣅⡀⠙⠿⣷⣌⣒⢌⡱⢂⠿⣷⣀⠀⠀⠀⠀⢀⣴⣾⠿⠋⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⢿⣿⣷⣯⣷⣻⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⣠⡾⠁⠀⠀⠀⢸⣿⠐⠂⠌⡐⠀⠄⠐⡀⠂⠄⠘⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣗⡞⣜⣻⢿⣿⣿⣿⡙⠿⠿⣷⣶⣬⣙⣿⢷⣮⣇⣎⡹⢿⣆⠀⠀⠀⣿⣿⣷⣶⣶⣶⣶⣶⣶⣾⡿⠉⠀⣿⡟⡽⣹⣿⢿⣿⣷⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⣰⠋⠀⠀⠀⠀⠀⢨⣿⢈⡁⠆⢠⠁⠌⢀⠐⠠⢈⠐⢿⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡬⢏⡿⣽⣻⣿⣿⣄⠄⠀⠈⠙⢛⣿⣿⣯⠙⠛⠻⠿⠿⠛⠀⠀⠀⠉⠁⠉⠈⠀⠁⠀⡀⠄⡐⢂⠲⣿⣯⢳⣽⡇⠀⠹⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⢀⡼⠁⠀⠀⠀⠀⠀⠀⠰⣿⠠⡐⠈⠤⡈⠄⠂⢈⠐⠠⡈⢼⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⡾⣱⣟⣿⣿⣿⡶⣬⣶⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣏⡐⢠⠂⠁⣿⣿⣳⣿⣿⣶⣾⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⠠⢁⠜⣀⠒⡈⠐⡀⠌⠠⠁⠆⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣻⢾⣿⣿⣿⡟⣿⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⣠⡿⢻⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣰⡟⠀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⣏⠐⠌⡰⢀⠣⡐⢁⠠⠈⠄⠃⡌⢿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣿⣿⣿⣿⣞⢻⣧⠀⠀⠀⠀⢀⣤⣤⡴⡶⠶⠛⢏⡙⢻⣦⡀⠀⠀⠀⠀⠀⠀⣰⣿⡀⠛⠁⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⣿⠟⠉⠿⠇⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠌⢢⠑⡌⢢⠑⡂⠄⡈⠄⡃⠜⣸⡇ ⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠿⣦⣀⠀⠀⠈⢿⣇⡲⢄⠣⡉⢆⠸⢠⠹⣷⠀⠀⠀⣠⣴⣿⣿⣿⣿⣷⣤⣀⣤⣠⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣦⠄⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⢂⡑⢢⠱⡨⢅⡊⠔⠠⠐⡈⠔⣩⢸⡇ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⠿⣿⡇⠀⠉⢻⣦⣤⣈⠛⠿⣿⣶⣭⣦⢿⠶⢉⣡⣤⣶⣿⣿⠿⣹⣿⡿⣧⠩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⢀⣿⢇⠢⡘⢤⢣⡑⢎⠴⣉⢂⠐⢄⠣⢆⣻⡇ ⠀⠀⠀⠀⠀⣼⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣯⣿⡇⠀⠈⠙⠀⣠⠟⠇⠉⠹⢿⣷⣶⣴⣶⣶⣶⣾⣿⣿⣿⡝⣲⣬⣾⣟⣿⣯⡑⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡤⡄⣀⡀⢀⣼⡟⠀⠀⠀⠀⠀⠀⢀⣾⠟⡄⢣⠘⣆⢣⢜⣊⠖⡰⡈⠔⡨⣘⠢⣿⠇ ⠀⠀⠀⢀⣾⣿⣟⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣷⣿⣇⡀⠀⠀⣠⡟⠄⠶⣤⣄⣸⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⢻⣿⡅⢢⡽⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⣼⣶⣿⡿⠁⠀⠀⠀⠀⠀⢠⣾⠏⡜⢄⠣⣍⠲⣍⠶⣩⠞⣡⠱⡈⠴⢠⠣⣿⠀ ⠀⠀⢀⣾⣿⣻⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠘⣿⣿⣹⡇⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠋⠀⠀⠰⠿⠟⠋⠀⠀⠀⠀⠀⠀⣴⣿⠏⡜⡰⢊⠵⣨⠳⣬⢓⢧⡛⣤⢣⢡⢋⠦⣹⡟⠀ ⠀⠀⣾⣿⣳⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣾⡿⠏⠁⠀⠈⠻⣿⣿⣿⣿⣿⣿⡿⠋⠉⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠸⣿⡀⠀⠀⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣟⢣⢛⡴⢡⣋⠶⣡⢟⡲⢏⡮⡵⣊⢆⠣⢎⠖⣽⠇⠀ ⠀⣼⣿⣿⣳⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⠁⠀⠀⠀⠀⠀⢈⠉⣿⣿⡟⠉⠀⠀⠀⠈⢿⣿⣿⣿⣟⢾⣻⣿⡀⠀⠈⠉⣉⣤⣿⠿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡿⣏⡜⣣⢳⣜⣳⢬⠳⣍⠾⣭⢻⡼⣱⢣⢎⡱⢎⢾⡟⠀⠀ ⢠⣿⣟⣾⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣦⡀⠀⠀⠀⠀⣠⣶⣿⠃⠀⠀⠀⠀⠀⠀⢸⡷⣿⣿⢎⡷⣹⣿⡇⠈⠉⠛⠉⠁⠀⠀⢹⠟⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⡟⣯⢵⡺⣜⣷⣻⣾⣟⢮⡝⢮⡝⣮⣳⡝⣧⢋⠶⣩⢞⣿⠁⠀⠀ ⢸⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣿⣿⣿⣿⣷⣤⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⣾⢇⣿⣟⡞⣴⢣⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⣿⠿⠿⢿⣿⣿⣿⣿⣛⢮⣜⢧⣛⣶⢻⡼⣣⢏⡞⣥⡿⠃⠀⠀⠀ ⢹⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣽⣿⣿⠟⠻⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⡿⣜⡖⣏⣿⣿⡀⠄⢈⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⢷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣽⡹⣞⡼⣏⣷⢫⣿⣱⠳⣎⣾⡟⠁⠀⠀⠀⠀ ⢸⣿⣿⡿⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢿⡎⣿⣿⣳⢞⡵⣺⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣎⣝⣻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣳⢏⣷⣹⢾⡽⣞⣯⢖⣯⣿⡾⠋⠀⠀⠀⠀⠀⠀ ⠀⢻⣿⡇⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠁⠻⣿⣿⣿⣿⣯⡞⡵⣿⣷⠀⠀⡀⣠⣤⣤⡠⠜⠻⣅⠂⢈⣿⣿⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⣿⣻⢾⣝⡾⣣⣟⣯⣟⢷⣮⣿⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⣇⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⣾⣿⣿⣿⣿⡿⣽⡹⣿⣿⣶⣡⠛⣝⣻⣿⣿⣦⡥⢌⣳⡿⣿⣿⢹⣾⣿⣷⣦⡀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⣯⢷⣻⡟⣮⢷⣻⣞⣷⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡿⠟⠋⠀⠹⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡀⠀⠘⠑⣿⣿⣿⣿⠽⣶⣹⢿⣿⣏⠻⣿⣌⢿⣽⣿⣿⣽⣿⣩⣾⣯⣽⣿⣿⣿⣿⣿⣿⣷⣄⠀⣠⣾⣿⣿⣿⣯⣿⣯⣿⣧⣿⡿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠈⠙⠻⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣷⣴⣁⣶⡿⣿⣿⣭⣟⡶⣯⣿⣿⣿⣷⣌⣻⣿⣾⣿⢿⣿⡍⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠹⣿⠛⠛⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣏⣵⣿⣿⣿⣽⣷⣿⣿⣿⣿⣿⣿⣯⣿⣿⣯⡌⣿⣷⣿⣿⡿⣏⠙⢻⣿⣿⡟⠁⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣟⣶⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠁⠀⠈⠉⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣭⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠙⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿