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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⡿⠿⠛⣳⡶⢷⡞⣾⠛⠋⢒⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⣾⡿⢟⠁⠶⡆⠒⢲⠾⢀⣴⣿⠙⣲⣶⣶⠍⢀⠻⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠚⣡⠄⢩⡽⢃⣐⣯⣧⣤⣞⣤⣿⣿⣿⣶⣿⣿⣇⡄⠀⢀⠾⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠻⢡⡖⠃⠀⣼⣏⣾⣿⣿⣿⣿⣿⣿⣟⣛⢿⣿⣿⣿⣿⣿⣇⡀⠀⠚⠚⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠉⠉⠀⠙⣧⢲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡀⠙⢿⣿⣿⣿⣶⣦⣤⣤⡹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⣤⠤⠺⠛⠁⠀⠀⣴⣿⣿⠟⠋⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠉⠻⢿⣿⣿⣿⣿⣷⣿⣿⡟⢦⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⠶⠏⠈⠈⠀⠁⢀⣤⣾⣾⢿⠟⠁⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠙⠛⠻⣿⣿⣿⣿⣷⠈⢣⡀⠀⠀⠀⠀⠀ ⣿⡯⠻⠆⠀⠀⢀⣴⣿⠟⠋⠀⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⠿⣿⡿⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠛⢻⣿⣿⣿⣦⠀⠙⢦⡀⠀⠀⠀ ⡏⠈⣠⣤⣤⣶⠟⠉⢻⡆⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣷⣤⣀⠙⢦⡀⠀ ⣇⠀⠙⠛⠻⣿⣧⣤⣤⣿⣶⣤⣄⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⠇⠀⠙⢆ ⠈⠲⢄⡀⠀⠈⠉⠙⠛⢻⣿⣿⣿⣿⣷⣶⣤⣄⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⠀ ⠀⠀⠀⠉⠑⠲⠤⣴⣃⠀⡘⠃⠀⡀⢨⢴⢛⢻⣿⣿⣭⣿⣿⣿⣿⠿⣛⣉⣀⣀⣀⡠⢤⠤⢤⣖⠉⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠋⡰ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠦⣄⠆⠀⠁⢼⠟⠉⣬⢻⠦⣤⣹⣟⠿⣟⢿⣟⠛⢿⣿⣶⡶⢾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠁⢀⠀⣀⠤⠚⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠺⣜⡠⠞⡳⣄⡀⠀⠘⠁⢙⠠⠟⠀⡿⣷⠺⣌⢻⣿⠺⣿⣿⣿⣿⣿⣿⡿⢃⣀⣠⠖⠚⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣄⡉⠃⠀⠀⠀⠀⠀⠀⠀⠸⡆⠹⢆⣿⢠⠘⣿⢿⣿⠿⠛⣠⠜⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠢⠤⠤⣀⣠⣄⣀⠙⠀⠀⣡⣈⣀⣉⠤⠽⠓⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⡀⡠⠤⠒⠒⠋⠉⠉⠀⠉⠉⠉⠉⠉⠉⠉⠀⠈⠉⠁⠒⠢⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡴⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠃⠀⠀⠀ ⠀⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠠⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠳⢶⣀⡀⠀⠀⠀⠀⠀⠀⠀⡖⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡲⠟⠁⠀⣀⣴⣿⣿⣿⣾⣾⣶⣶⣤⣤⡀⠀⠀⠀⠀⠀⠉⠓⠲⣤⡄⡴⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡶⠋⠀⣰⣮⡿⠋⠛⣏⡷⣫⣼⡯⣿⣿⣿⠑⠛⠿⢿⣢⣦⣀⣠⢔⣏⠜⠁⠀⠀⠀⠀⠀⠀ ⠓⠦⣤⣞⣏⣀⣤⢾⡗⣿⡇⠀⠀⢹⡟⣻⠿⣚⣟⡇⡗⣇⠀⠀⠀⠀⠀⠀⠉⠛⠛⠻⠶⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠒⠁⠀⠀⠒⠃⠀⠀⡏⣿⡹⢻⡗⡎⣲⡅⣽⡟⢣⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣚⠷⠮⠭⠽⣶⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣯⣩⡗⠳⢯⣃⣿⡟⣽⠊⠀⠀⠀⠀⢀⠀⣠⡶⣻⠯⡫⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡤⠒⠀⠀⠈⠛⠿⠭⠭⠽⠊⠁⠀⣀⡀⣠⢖⢓⠟⣅⣿⢵⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠎⠁⠀⠀⠀⠀⠈⠉⠓⢒⡶⠶⠍⣴⡻⡿⣿⣟⡻⠟⠉⠀⠀⠀⠀⠙⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠫⠄⠋⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢖⣋⣵⢍⣁⡅⣁⣿⡏⠑⠖⢠⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⠀⣀⣶⠋⠉⠁⣉⣭⠟⠟⣟⣻⣟⡶⣏⣀⠀⠀⢀⡀⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⡤⣤⡴⠗⡯⠀⠀⠘⣇⡀⠀⠀⠀⢸⠈⠙⠛⠛⠿⠿⣭⡃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⣫⡀⠀⠀⠀⠉⠑⠓⠂⣼⠀⠀⠀⠀⠀⠀⠀⣉⠀⠀⠀ ⡀⠠⢴⡦⠤⠄⢀⣐⣦⣄⣙⡇⡂⡠⣄⣀⣀⣠⢴⡇⡀⡤⣤⣤⣦⡶⡟⣅⠀⠀⠀ ⠒⠏⠄⠄⠤⠠⠄⠀⠀⠁⠁⠉⡁⡁⠉⠉⠉⠋⠉⠉⠋⠟⡤⡁⠁⠀⠀⠉⠁⠀⠀ ⠀⡠⠆⠖⡆⠀⠀⠀⠀⠀⠐⠂⠃⠖⠕⠕⢕⡙⣑⡑⡋⡛⠅⠝⠊⠉⠈⠀⠀⠀⠀ ⢀⠇⢀⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⡀⡀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⡀⠀⠄⠀⠄⠑⠑⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠀⠃⠂⠀⠂⠐⠀⠂⠐⠀⠁⠁⠁⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⢀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡠⠔⠊⠁⣀⣀⡀⢀⣀⣀⠈⠑⠢⢄⡀⠀⠀⠀ ⠀⢀⡠⠒⠁⣀⠔⠒⠉⡀⠁⠀⠀⠈⠱⡈⠑⠢⢄⡈⠢⣄⠀ ⠈⠁⣠⡔⠉⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⡇⠀⠀⠀⠉⠢⣌⠓ ⠀⠉⠀⠀⠉⠁⠐⠒⠤⠌⣦⣀⣀⣠⠬⠤⠄⠒⠒⠈⠉⠉⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠰⠀⠉⠲⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠰⠀⣠⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠔⠂⢢⠀⢠⠌⠀⠀⠀⠀⠈⢁⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⡄⠀⢀⡰⠁⠀⠀⠀⠀⠀⠐⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⣶⠿⣻⣿⡆⠀⠀⠀⠀⠀⠀⠀hai lala made this idk if u use or not have fun :3 ⠸⠋⣿⠥⡄⡏⢻⣧⡀⠀⠀⠀⠀⠀ ⠀⢸⠛⠚⠁⡇⠀⢻⣷⡀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⡇⠀⠀⢳⣹⡀⠀⠀⠀ ⠀⢸⡀⣀⣀⣇⠀⠀⠈⣯⡇⠀⠀⠀ ⠀⡜⠧⠇⠀⡇⠀⠀⠀⢿⣧⠀⠀⠀ ⠀⡇⣀⣠⢤⡇⠀⠀⠀⢸⣿⣷⣄⠀ ⠀⡇⣇⠓⠒⣇⠀⠀⠀⠀⣿⡇⠉⠀ ⠀⠹⣌⣓⣚⡟⠀⠀⠀⠀⢻⣿⣦⠄ ⠀⠀⠀⠀⢀⣤⣤⠴⠂⠀⠀⠀⠀⠀

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⠸⠇⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⡟⢲⡄⡽⡄⣆⣄⢐⡔⣯⠧⣝⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡶ ⠀⠀⠰⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⢶⣀⠈⠁⢀⣿⣲⣷⣄⡵⡦⡄⣧⡤⢿⣿⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⢰⢿⠃⢉⣿⣠⣶⢻⢷⣹⢻⢻⡣⣷⣟⢜⣷⡀⠁⠟⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⢀⣸⡾⡖⣾⢽⣿⢷⠁⣴⣯⡟⡼⣹⣜⣿⡽⢳⠫⣟⣶⣯⣄⡀⠀⠀⠀⢐⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⠴⢻⡭⣴⣽⠟⣱⣿⠃⠈⢻⣘⡿⡆⣷⢳⢳⡽⠁⠘⣷⡈⠮⣆⢷⢿⢲⣄⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡀⠀⠀⢀⡼⣯⣅⠀⠘⣻⢿⣋⣼⠟⠉⠀⠁⠀⠙⢿⢳⣈⡷⠋⠀⠀⠀⠀⠙⢶⠿⣙⣿⢠⣽⣿⡷⣄⠀⠀⠀⢠⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣽⣦⡴⠋⢀⣿⡜⢷⣤⡘⠋⡿⠁⠀⠀⠀⠀⠀⠀⠈⢧⣽⠁⠀⠀⠀⠀⠀⠀⠈⢳⡹⣾⢾⡿⣻⡇⡼⠳⣄⣴⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢿⣦⣀⠀⠀⠀⠀⠀⣠⠞⡇⡙⠉⠻⣾⢸⠁⠀⠈⠈⠻⣧⠀⠀⠀⠀⠀⠀⣀⣴⣯⡏⣣⣤⣀⠀⠀⠀⠀⠀⠀⠟⠁⣹⠱⣿⡿⠛⢿⡿⢻⢸⣇⠀⠀⠀⠀⠀⣠⣾⡇⠀⠀ ⠀⠀⠀⢿⡟⠻⠶⠶⠶⣲⣇⣀⣃⣳⢰⡑⡍⠈⠀⠀⠀⠀⠀⠙⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⡼⣽⡿⣽⣶⣤⣀⠀⠀⠀⠰⠁⠀⠘⢻⡴⢫⠏⠎⣸⣘⣧⣴⡶⠶⢟⣟⣟⠀⠀⡄ ⠀⠀⠀⢸⢿⡌⠳⢄⡀⠀⠀⠀⠉⠙⠻⣦⡃⣀⠀⠀⠀⠀⠀⢀⣴⡿⣵⣯⡞⢻⣤⣿⡿⠛⢿⣾⣴⠏⢻⣏⣈⠿⢦⡀⠀⠀⠀⠀⡞⣷⡿⠒⠉⠉⠀⠀⢀⣠⡴⢫⡿⡇⠀⠀⠀ ⠀⠀⠀⠈⡇⢿⣆⡄⠙⠲⣄⠀⠀⠀⠀⠀⠙⢾⣄⠀⠀⢀⣴⣿⣟⣿⣿⣯⣽⣾⠟⠋⠀⠀⠀⠉⠻⠷⠿⢽⣿⣿⣦⠽⠄⠀⠀⣰⣻⠁⠀⠀⠀⠀⣀⠴⠋⠼⣵⣿⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⢹⡈⢫⣿⣷⣦⠬⣗⣦⣀⠄⠀⠀⠈⢻⢆⠀⠘⣱⡿⣡⣶⠷⠛⠉⣠⣴⡶⠶⣟⡲⠶⣦⣄⣀⠉⡻⢮⡹⣦⡙⠀⠴⣱⠃⠀⠀⢀⣤⣞⡥⢴⡾⢿⡟⣟⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢧⣄⡟⠃⠙⢷⣄⠈⢿⡿⠯⣿⣿⣿⣿⣷⠾⢋⡞⠋⣀⡤⡶⣿⣟⣹⣍⣿⣛⣿⣴⣍⣻⢿⣿⣦⠀⠙⢮⡻⠶⣿⣿⣿⣽⣿⣿⡟⣡⡶⠉⠀⢸⢸⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠹⣧⡀⠀⠄⠙⣗⣒⣻⣦⣤⠀⠀⠀⢀⣠⠏⣠⠞⢣⣾⣿⣿⣿⣿⣟⡿⠟⢿⣿⣿⣿⣶⣿⢿⡣⣄⠈⢳⣀⠀⠀⠀⠚⢡⣟⣴⡿⢁⠀⠀⣾⡞⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡷⠀⣮⢧⠀⠀⠀⠈⠻⣿⡽⣬⡉⡀⣹⣿⡋⣸⣧⡾⣼⠇⣟⣿⣿⡟⠳⠴⠋⠻⡌⣿⣿⣿⣿⡏⣟⣹⣤⡜⠿⣏⣿⡭⢠⣾⡿⠋⢠⠏⠀⣴⣻⡷⢸⠀⠀⠀⠀⡀ ⣷⢦⡤⠤⣤⣇⣀⣳⡍⠳⣄⡀⠀⠀⠀⠙⠲⢽⣛⣿⣯⠡⠗⡿⣏⣸⠘⣿⣷⣽⣇⠰⣶⣿⡷⠀⣼⣟⣿⣿⡋⣿⢋⢷⠠⣶⠿⣛⡽⠞⠋⠖⠀⠀⣠⡾⠛⣋⣀⠼⠤⠤⣲⣯⡟ ⠙⣷⡝⢶⣄⡀⠓⣬⣉⠙⠚⠻⢆⣀⣀⣀⣠⣬⣿⣿⣹⢷⡀⠑⢺⡿⣆⢳⣿⣿⣽⣷⣬⣭⣤⣾⣿⣿⣟⣻⢣⢷⡮⠈⣼⣷⣾⣿⣤⣤⣀⣤⣀⡛⠛⢚⣏⣡⣴⢾⣤⣾⣫⣿⠁ ⠀⠀⠉⣻⠽⠿⠿⣾⣿⣿⣿⠿⣿⣿⣛⠿⢿⣿⣯⣹⣿⣟⣷⡀⠈⢃⣸⣆⠫⢻⠟⣿⣿⡿⣿⣿⣿⣇⠼⣣⡏⡼⠀⣠⣿⣷⣫⣿⣿⣯⢟⣻⣿⣿⣿⣿⣿⣯⣴⢿⡿⣫⡿⠃⠀ ⠀⠠⠀⠹⢷⣄⡀⠀⣠⡴⠚⣁⡤⠽⠻⠟⠶⣜⢿⣿⣝⣛⣿⣿⣦⣀⠀⠶⠟⠮⣗⡿⠝⣷⠯⢿⣗⠿⠾⠛⢁⣠⣾⣿⣿⣽⣿⣿⣥⣶⠿⠛⠁⠈⠛⠳⣄⣀⡴⢿⠾⠋⠀⠀⠀ ⠀⠀⠐⠀⠀⢻⢙⣿⠟⠁⠀⢁⣤⣶⠾⠋⠀⠈⠙⠧⣝⣿⣯⣤⣬⣽⣻⣶⣶⣤⣴⣼⣿⣿⣽⣯⡤⣿⣶⣶⣿⣯⣭⣿⣿⣿⢴⡿⠟⠛⠿⣷⠀⠀⠀⠀⠻⣧⡀⡞⠀⠀⠀⠀⠀ ⠀⢀⠀⠀⠀⢠⣿⠃⠀⢀⡴⠟⠩⢤⣥⢀⣬⣴⠿⠗⠊⠉⡉⠉⠉⠛⠛⠛⠛⣿⣿⣿⡏⡏⣻⣿⣿⣿⣿⣛⣿⠋⠉⢉⣥⣾⡟⢿⣟⣋⡁⠀⠀⠀⠲⠆⠀⠈⢻⣅⠀⠀⠀⠀⠀ ⡀⣆⠀⠀⠀⣿⠃⠀⡴⠯⠒⠒⣲⣶⠾⣫⡍⣷⡀⠀⠀⠠⠗⢶⣤⣀⠀⠸⣴⣎⢳⡙⣇⠃⡿⢩⡟⢳⣷⣽⣃⣤⡔⢿⣄⠀⢻⡄⢹⡍⠛⢷⢤⣀⡤⠄⠀⠀⠀⣿⡄⠀⠀⠀⠁ ⠛⠈⠀⠀⣸⡟⣠⠞⢁⣠⠖⠋⢁⠞⠈⢁⡼⠛⠀⠀⠀⢄⡴⢿⣿⣿⣿⣿⡿⢿⣿⣷⠈⠀⣵⣿⣷⣾⣿⣿⣿⣿⣿⣄⠈⠑⠞⠷⡈⠻⣄⠈⢧⠈⠓⢦⣀⠀⠀⠸⣷⠀⠀⠀⡄ ⢸⠲⣿⣼⣿⣠⠶⠚⠉⠀⢀⣖⡯⠴⠚⠉⠰⠚⢁⣤⢶⣉⣵⣿⣿⣿⣻⡿⠁⡾⠙⢮⣿⣾⢯⢾⡁⠙⣿⣿⣿⣿⣿⣩⡝⠦⣤⣀⢈⡀⠈⠀⢈⠳⢄⡀⠈⠉⠓⠦⠝⣷⣶⢟⡇ ⠘⣆⠈⠻⠿⣶⣦⣤⣍⣉⠉⠀⠀⣀⣠⣶⣾⡟⠿⠿⠋⢉⣻⣿⢿⣿⡏⡴⣳⠃⡀⠀⢹⣿⠋⠀⢧⡀⡈⠙⢿⣿⣿⣻⡛⠲⠾⠟⢿⢿⣒⡲⠦⢤⡤⣤⣤⣤⣶⡾⢿⡛⢁⡼⠀ ⠀⢹⢳⡀⠀⠸⡈⢉⡹⠟⠛⠛⠛⠛⢭⡉⠉⢹⣔⣤⣴⠟⠋⠁⣼⡿⠚⣱⠋⢸⠏⣆⡞⡞⡇⠀⠀⠳⡜⢿⣿⡄⠉⠙⠿⣷⢴⣶⠏⠞⢀⡾⠋⠉⠉⠉⠉⠁⣀⠀⠐⣂⠈⠀⠀ ⠀⠀⠀⡇⠀⠈⠦⠘⣡⡖⡆⠀⠀⠀⠀⠙⠢⣄⠹⡟⠁⠀⠀⠠⣯⣴⣾⠁⠀⢸⣇⡟⣦⠹⣧⡀⠀⠀⢹⠿⢦⣽⣄⠀⠀⠈⠛⡟⣀⡴⠋⠀⠀⠀⠀⢿⢷⣄⠙⠀⢀⣾⡇⠀⡄ ⠀⠀⠀⠟⢾⣧⣀⣾⠏⠸⡁⠀⢀⠀⠀⠀⠀⠈⠙⢻⣄⡔⣺⣿⢋⣷⠻⣦⠀⡿⣿⠃⣿⠃⡿⢧⠀⢠⡯⠂⢻⠘⡽⣶⣶⣲⣼⡞⠉⠀⠀⠀⠀⠀⠀⢸⠀⢻⣆⣀⣿⣿⠇⣸⠁ ⠀⠀⢠⣆⠀⠁⠀⠉⠉⠓⠗⠲⠿⠤⣄⣀⠀⠀⠀⠀⢿⢸⠙⠚⠮⢭⣀⣹⡷⣻⠳⡃⠁⢠⠃⣞⣤⣏⣀⣠⡼⠖⢻⣟⡞⠈⠛⠀⠀⠀⠀⢀⠀⠀⣀⣇⣤⡾⠛⠉⠈⠉⠀⠘⠛ ⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠶⣦⡄⠈⠛⣧⣤⣀⠀⠀⠈⢧⠘⡆⢳⠀⡜⢑⣯⢋⡏⠀⢀⣴⠀⡯⠏⠀⠀⠀⠀⢀⡀⢴⣿⣿⠿⠟⠥⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⣦⡈⠿⢛⣿⣦⣤⠞⢧⣸⠈⡇⣰⣻⠋⣼⣤⣤⣻⢃⢀⣶⣆⣀⣰⡶⢾⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠈⠙⣿⣿⠿⠿⠁⠀⣶⠉⣇⠇⢳⠃⠀⢸⣨⠿⢿⣿⣾⡷⢛⣉⡠⠼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣤⣤ ⠶⠦⠤⠴⠞⢿⣿⠿⠟⠿⠆⠀⠀⠀⠀⠀⠈⠉⠛⠻⠷⣆⡀⠙⠀⠀⠄⠤⢐⡤⠀⠘⣆⡏⠀⠀⠞⠀⠈⠛⢿⣿⣿⡯⣬⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠿⠿⠿⣿⡿

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⡀⠀⠀⠀⡀⡄⡀⣀⢀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⡤⡦⠄⠋⠉⠁⠁⠁⠁⠈⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⡀⡀⡀⠀⠀⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠾⠋⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⡈⠀⠤⠀⠀⠀⠄⠀⠠⠤⠀⣥⡧⡤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢊⡁⠀⠀⢀⡀⡄⠆⠄⠥⡒⠁⠃⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠃⠂⠄⠀⠂⠀⢁⠂⡀⠅⠢⣃⣿⠦⡀⠀⠀ ⠀⠀⠀⣸⠕⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⢀⣀⠀⠐⣂⢂⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⠉⠑⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡠⠐⠖⠀⠂⠈⠀⢁⣴⣿⣷⣄⠀⣀⡀⠀⠀⠀⠀⠀⣡⣵⠟⢥⠄⠀⠀⠀⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠀⠉⠉⠏⡔⡆⢒⣡⡲⠞⡋⠉⠛⢩⠸⠡⠎⠉⠈⠩⠙⠓⠇⡯⣷⣗⡀⡀⠀⠀⠀⠑⣄⡀⠀⠀ ⠀⠀⠀⢀⢼⢅⢀⠀⡤⣤⡞⣻⠋⠁⠃⠀⣠⣀⠀⠀⠀⠈⠋⠭⡂⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⢏⣧⣟⣯⠏⠃⠀⠀ ⠀⠀⠃⠀⢠⣖⡟⠉⠁⠀⠘⡇⠀⠀⠀⡒⣿⣯⣕⠇⠀⠀⠀⠙⢅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠛⣄⡄⡀⠀ ⠃⠀⠀⢴⡊⠋⠀⠀⠀⠀⢸⠃⠀⠀⠀⠐⠛⠋⠀⠀⠀⠀⠀⠀⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢚⡿⣏⡕⠟⠃ ⠀⠀⠠⠃⠁⠀⠀⠀⠀⠀⠈⠉⠂⠄⠙⠶⠇⠆⠄⠒⡑⠃⡃⠨⠋⠀⠀⠀⠀⠀⣀⡠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⢆⡬⡅⠵⠎⠍⠷⠄⠣⠒⠃⠬⠍⠍⠋⡢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡎⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠆⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⠀⣀⣀⡤⣴⠶⠾⠿⢿⣿⡛⠛⠛⢻⠷⠶⠤⢤⣾⣀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀ ⢀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢿⣿⡉⡀⠀⣈⣶⣄⣀⣸⣿⣄⣀⠀⡸⠀⠀⢀⣼⠀⠉⠛⠳⢶⣬⣄⡀⠀⠀⣠⣾⡟⠀⠀⠀⠀⠀⠀ ⠀⠻⢦⣀⠀⠀⣠⡾⣻⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣷⣶⣤⣖⣤⣏⣻⣿⣿⣿⣿⣿⣉⠀⠀⠀⠀⠀⢀⡄ ⠀⠀⠀⢙⣿⣿⣿⣿⣿⣿⣿⠿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣻⣿⣷⣦⣤⠶⠋⠀ ⠀⠀⣠⣿⣿⣿⠿⠛⠉⠁⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡿⢟⢛⡻⠀⠀⠀ ⠀⠈⢀⣞⡛⠁⠀⠀⠀⠀⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⢸⣿⣿⣿⣇⠘⢀⠛⢟⡻⢿⣿⣿⣿⣿⣿⣶⣦⣤⣤⠤ ⠀⠴⠋⠀⠀⠀⠀⠀⠀⢀⣾⣟⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣠⣴⣿⣿⣿⣿⡎⠁⠈⠀⠑⠋⠛⢿⣿⣿⡿⠉⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡯⣾⣟⢿⣿⣿⣿⣿⣿⣿⠛⢏⠀⣿⣿⣿⡟⡿⡿⡿⣿⣿⡇⠀⠛⠳⣥⠀⠀⠙⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠈⠙⠛⠄⠘⣩⣍⣃⣿⣿⣿⣧⣝⡛⠃⠁⠀⠀⢝⢻⣿⠀⠀⠀⠀⠀⢤⢠⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠐⠈⣦⢹⣿⣿⣿⣿⡍⢴⣿⠇⠀⠀⠁⠀⣹⡏⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠁⢾⠿⣛⣛⣛⡻⢷⠈⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢳⡀⠀⠀⠀⠀⠀⠀⠉⠛⠟⠛⠋⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣬⣿⣶⣤⣈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠁⠀⢀⣀⣤⣴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠟⠉⠀⠀⢈⠟⠻⠿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣲⣿⣵⠶⠿⢏⠉⠁⠈⠙⠷⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣴⣟⡉⠙⡿⠛⠻⠿⣿⠿⠿⢿⠛⠋⠉⠻⣆⠀⠀⠀⠑⠄⠀⠀⠀⠘⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠈⢹⠋⠒⠲⠴⣷⠤⠀⠈⣇⠀⠀⠀⠈⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡠⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠓⠶⠶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣾⣿⣿⡿⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠙⠋⠋⠉⠉⠉⠉⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠐⠀⠉⢓⣛⣛⣾⣞⣩⠽⢿⣷⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⣿⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣮⣍⣛⠿⢿⣷⣦⣄⡀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣿⣿⡏⠙⠉⠉⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣌⡉⠛⠾⣅⡀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢨⣿⣿⡐⠓⠒⠒⣿⠘⣿⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡶⣄⡀⠉⠢⢄⠀⠀⠀⠘⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣿⣧⠀⠀⣿⣿ ⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣝⠢⠀⠀⠁⠀⠀⠀⠈⠣⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣇⠀⠀⣿⢀⣰⣆⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠹⠿⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢆⠀⠀⠉⢿⣿⣿⡿⡿⡿⣿⢿⣿⣿⣿⣿⣿⠷⠒⠀⠈⠻⣿⣽⣦⡀⠀⠀⠀⠀⠀⠀⠑⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠀⠀⠀⠙⠻⣿⣾⣵⣼⣾⣾⣿⠿⠛⠁⣿⣿⠀⢑⠴⡞⠀⠈⠸⠙⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠙⠩⠉⠩⠀⠀⠀⠀⠠⠀⡀⠀⡀⠉⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⠶⠶⡦⠖⠛⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠀⠠⠀⠅⠀⠀⢀⠀⢠⡣⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠂⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⣽⣿⠊⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⠤⣖⠶⢁⢾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠢⠁⠁⠀⠀⠀⠀⠀⡄⣐⣨⣄⠦⣟⣯⢡⣒⣿⢿⡯⣾⢣⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠄⡡⠀⠀⠀⢀⡐⠐⡝⣍⣶⡾⣿⢏⡫⡱⡏⣿⣿⠷⣛⣫⣟⡿⣿⠶⡂⡀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠁⠂⠀⠀⡀⢠⢤⣺⣽⣿⣿⠧⣿⡱⢈⠐⠅⣁⠄⡀⠀⠃⢚⡩⢕⢞⢿⣡⡓⡺⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣡⣷⣐⡼⣾⣿⢿⣻⣯⠽⠓⠢⠉⢀⠂⡑⠨⠁⠚⠙⢂⢂⡠⠐⢰⡪⠉⢯⡺⣮⡘⡶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀ ⠺⠟⠛⠛⠉⠋⢈⣽⠦⣽⡗⠀⠀⢀⠐⠀⢂⠀⢃⠀⠀⡀⢄⠟⠄⠄⠈⠢⢂⣪⠸⣾⣻⣯⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⡕⣭⡝⠃⠀⠀⠈⠁⢂⠐⠀⠀⠀⠱⠒⠈⢀⠐⠁⠀⡀⠞⣑⡅⠀⠨⡿⣿⣯⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⣹⣭⣟⠄⠀⠂⠈⠄⠈⠀⠀⣀⠐⠈⠀⢀⠈⠀⢀⢴⠬⡂⠍⡛⡊⠀⠀⢛⣫⢯⣯⡕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠰⣝⠁⠌⣱⠺⠓⠃⠀⠀⢒⠉⡌⠀⠠⠈⠀⠀⣀⢂⠎⠁⠀⠀⢸⠄⠀⠀⠀⣻⣿⢿⣯⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⡥⠜⠠⠑⠮⢈⠠⠤⠀⠲⠥⡈⠢⠈⠀⠀⠀⢂⠍⢁⠄⠀⠀⠀⡣⠀⠀⠀⢀⢿⣭⣿⣻⣟⢹⣦⣩⣶⣀⡤⠐⠂⠀⠀⠀⠀ ⠀⠀⠀⢇⡑⠀⠀⢉⠯⢰⡀⠀⠀⠀⢀⠛⠄⠀⡀⠂⠒⠇⠠⠂⠀⠀⠀⡰⠂⢀⠐⠚⣱⣟⣷⣻⣟⣽⣿⣿⠯⠚⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠁⠀⠀⠀⠌⠙⠀⠀⠀⠀⠁⠀⠈⠘⠒⠐⠒⠁⠀⠀⠀⠀⢪⠁⠠⣠⢰⢮⣯⣟⣕⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⣥⢡⢀⠂⠄⢀⠐⠲⠦⠖⠖⠚⠓⠿⢽⣷⡍⠟⡛⢻⣾⡿⠿⠋⡛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠛⠃⠑⡘⢏⠹⣊⣥⢥⣗⡏⡅⣪⡯⢞⢁⢆⢮⡗⡗⡻⠉⠋⠘⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠂⠂⠠⠐⡁⠀⠈⠀⠈⠈⠉⠉⠀⠀⠁⠀⠉⠀⢀⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠐⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡘⣾⡇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣠⣤⣄⣀⣤⣄⣤⣔⣴⣤⣤⣤⣦⣠⣀⣁⣠⣠⡀⡆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣬⣷⣿⣾⣿⣿⣿⣿⣿⣿⠿⠿⢿⠿⠟⠿⠿⠻⡿⢿⣿⣿⣷⣾⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⢠⣦⣶⣿⣿⣿⡿⠟⠻⠋⢛⣿⣊⣁⣀⣄⢄⢐⠖⠠⣂⠄⠎⡄⠁⣁⠈⠩⠻⠻⢿⣷⣿⣠⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠂⠀⠀⠀⢀⣶⣽⣿⠿⠿⠛⠉⠁⢄⣄⣮⣶⣿⣾⣿⣯⣽⣿⣾⣿⣴⣷⣬⣿⣿⣧⣯⣀⣱⣷⡀⠀⠈⡙⢿⣿⣷⠗⡄⠀⠀⠀⠀⠀⢨ ⢀⣠⣄⣾⣿⡿⠛⣁⣄⣂⣴⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣮⣶⣤⣈⣹⢿⣿⣆⠀⠀⠀⠀⠀⢸ ⣭⣿⣽⡿⣹⣦⣿⣾⣿⣿⣿⣿⠿⠛⠍⠈⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣜⡢⣽⣿⣯⡹⢿⣿⢿⣿⣷⣿⣿⣿⣧⢀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣧⣀⣀⠀⠀⣿⣿⣿⡏⢿⣿⣿⣿⣿⣿⣿⣿⣿⠯⠉⠰⣿⣿⡏⠀⠘⢣⢚⠋⣿⣿⣿⣿⣿⣾⢀⡀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⢯⣿⣿⣿⣯⣤⠀⡹⣿⣿⣇⠈⠉⢩⣿⢿⣿⡿⠉⣫⠀⢀⣼⣿⡿⠁⠀⠀⠀⠁⢴⣿⣿⣿⣿⣿⣿⣿⢣⠀⢀ ⠯⠻⠟⢛⠏⠛⢛⡛⠘⠛⣿⣫⣯⣿⣿⣿⣷⣿⣿⣿⣷⣔⢘⢵⡷⣿⣷⣽⡀⢐⣼⣿⡿⠁⡀⠀⢀⣀⣴⣾⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⢫⢻⣿⣿⣿⠻⠿⡿⠿⠿⠿⡿⠿⠿⠿⠿⡻⠓⠓⠖⠚⠙⠚⠉⠉⠁⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣔⣞⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡗⡀⠀⠰⡀⠀⠀⠀⠀⠀⢀⡀⡖⡂⣄⣿⠕⡁⡀⡀⠔⠀⣀⡢⠆⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢚⡎⠆⡀⠁⠂⣀⣀⣖⣟⡿⡗⠟⢿⣟⣾⣗⣶⣁⣰⡴⠞⠓⠋⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠀⠀⠅⠆⡒⡄⠀⠀⠩⣆⡐⣷⣗⣧⡟⣛⣉⣻⠛⠈⠀⠈⠉⠯⡛⡟⣟⣣⣕⣦⣄⠄⠔⠂⠀⢀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⡋⠴⡅⡰⡁⣀⢌⠂⡄⣤⣦⣷⠿⡟⡝⡧⡣⣇⠏⠀⠀⠀⠀⠀⠀⠀⠉⠂⢪⣏⣙⢹⣿⣧⣦⠷⡭⢍⠠⡤⢤⠤⠀⠀⠀⠀⠀⠀ ⠀⠀⣄⠐⠀⡀⢉⣊⣅⡿⣟⡏⡛⣐⠐⡒⡩⡮⣕⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣟⣿⣿⣏⡟⠍⠞⠒⠛⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠆⣠⡜⣿⡿⡧⠈⣆⢪⣮⣱⣉⣖⠇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣈⡔⢧⡟⡧⠝⠃⠉⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠙⣧⣭⡇⡋⣂⡩⠕⠃⠁⠀⠀⠀⠀⠀⠀⠀⢀⣄⣀⣲⣃⣆⡋⡴⠷⠯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⡉⣉⠉⡁⣀⡀⠀⡀⣀⣀⣀⣀⣄⣖⠖⣙⣿⣷⣝⠁⠈⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠓⠁⢉⠅⣉⢅⠍⠜⠋⠉⠉⠅⠓⠉⠉⠉⡁⡹⠝⠏⠙⣜⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⡨⡇⠅⠁⠀⠀⠀⠀⠀⠀⠀⠄⡀⠡⠀⠈⠀⠀⠀⠀⠀⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠂⠁⠁⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⢀⠄⠊⠁⣀⡀⠤⠒⢋⣉⣉⣉⣉⣁⡀⠀⠀⠀⠀⠀⠀⠈⠙⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠂⣁⡔⣒⣭⣵⠶⠿⠛⣻⠖⡲⠖⡲⢒⣻⣷⣶⡦⢤⣄⣀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡤⠪⣊⡵⠞⠋⠉⠄⢀⠊⠁⡟⡥⣞⡁⠘⠛⣩⣔⠛⡻⣿⡶⡄⠁⠉⠶⣄⡀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀ ⠀⣨⡴⠟⠑⠠⠀⠉⠁⠁⠐⠂⣼⢣⡾⡏⡡⠃⠀⠀⠀⠀⢀⡈⣟⣿⡄⠐⡀⠂⠙⢦⡀⠀⠀⠙⡆⠀⠀⠀⠀ ⢰⡿⡅⢁⠁⠄⠀⠀⠀⠀⠀⠀⡇⠀⢠⢹⠀⠀⢠⣿⣿⡆⠀⡟⣟⣻⣇⠀⠀⠀⠉⢁⠙⢦⠀⠀⢹⡀⠀⠀⠀ ⢻⣇⡇⠠⠈⠁⠀⠀⠀⠀⠀⠀⢱⢸⣼⢸⠀⠀⠈⠛⢛⣁⠜⠀⡿⣿⣿⠀⠀⠀⠀⡐⠈⡐⡳⡀⠀⢧⠀⠀⠀ ⠀⠻⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⣏⣾⡑⣧⡀⠀⠘⠓⠦⠶⢽⣿⡿⡏⠀⠀⠀⠀⠀⠀⠄⢀⡹⡄⠈⡆⠀⠀ ⠀⠀⠀⠈⠛⢧⡀⠀⠀⠀⠀⠀⠀⠈⠓⠿⣖⡛⢷⣦⣤⣤⡴⢿⡿⠗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀ ⠀⠀⠀⠀⠦⡄⠉⠳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠋⠉⠉⠉⠀⢀⣀⣀⣀⡤⠤⠶⠶⠛⠛⠳⠽⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠳⣄⡀⠈⠙⠛⠲⠦⠤⠤⠤⠤⠤⠤⠶⠒⠒⠋⠉⠉⠉⠁⢀⡤⠖⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⣀⣀⣀⣀⣀⡤⠤⠤⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⡁⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢀⠀⠀⠂⠀⠀⡂⠀⢀⠀⠁ ⠀⠂⠈⠀⠂⢈⠀⠀⡀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠈⠄⠂⠀⠀⠀⠁⠀⠂⠀ ⠀⠀⡆⠀⠀⠀⠀⠀⠀⢂⠑⠁⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⢀⠀⠈⠀⢠⠀ ⠀⠀⠆⠀⠀⠀⠀⠀⠂⡀⢀⠒⠀⠀⠂⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠈⠀⠂⠀⠐⡀⠀⠁⠀⠀⠀⠁ ⠀⠀⠁⡀⡁⠀⠀⠐⠂⠀⠈⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠈⠀⡀⡠⠀⠀⠁⠃ ⠠⡀⠀⠠⢠⠀⠀⠂⡀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀ ⠀⠀⠂⠀⡂⠀⠄⠀⠀⠀⠀⠀⠀⢐⡀⢀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠠⠠⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⡘⠀⠀⠀⢠⣤⣂⣂⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⢟⣾⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⢈⠀⠄⣀⠀⡁⠀⠄⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠤⠣⠩⠉⠀⠀⠀⢀⠀⡀⠀⠀⠀⠀⡢⡄⡀⢀⡄⠈⠉⢒⢀⢀⣆⣀⣂⣂⣆⣃⣂⣖⣀⣤⣬⡀⡠⠁⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠴⠨⣢⣷⡗⣴⣚⣿⣛⣗⣟⣾⡿⢿⢿⣷⡿⣟⣿⢻⡿⣿⣿⣯⣻⡻⣩⣿⣿⣾⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⡋⠈⢪⣊⡾⣳⣿⣗⡀⠤⡀⣠⠁⠁⠁⠀⠁⠀⠀⡘⢆⣱⣿⡟⣿⡿⡁⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢳⡋⠊⣚⣷⣟⣿⣿⣿⢧⢽⣅⠠⡅⠀⠁⡈⠀⠀⠠⠀⠀⣤⣿⣫⡿⣏⣚⡯⠁⠀⠈⠀⠀⠀⠀ ⠀⠀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⠆⠋⠂⢳⣨⣯⣛⠧⡑⣿⠟⠷⣞⢆⠴⠀⠀⠀⠈⠂⠀⢐⠘⡿⣿⡿⡷⡙⡉⠀⠐⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡼⣯⠀⠀⠀⢘⣯⣽⣷⢽⣳⣯⣏⣯⣺⠃⠌⠀⠀⠀⠀⠀⢀⣀⡷⣟⡮⣟⣭⣖⡼⠀⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣾⡹⠀⠀⠀⠀⠈⢳⣿⣿⣻⡿⣟⢋⣳⠃⠈⠁⠀⢀⡀⠀⠀⣸⣿⣿⣿⣿⠗⠷⠁⠂⠀⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠪⠩⡿⠽⠿⢳⡶⠦⢶⣷⠿⣿⣿⣿⣿⡿⢿⢎⡷⣿⣷⣿⣷⣾⣿⣿⣿⣿⠹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠕⠁⠚⠓⠊⠋⠻⣝⡏⠻⣛⡷⣟⣿⣿⣿⣿⡏⡁⡀⠀⠐⠒⠀⠀⠀⠀⠀⠀⠀⡀⠈⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠀⠀⢿⡥⡘⡩⢻⣿⣷⡆⠈⠀⠀⠀⠀⠀⠂⠈⠀⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠐⠑⠒⡣⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠁⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⡠⠀⠀⠀⠄⢀⠀⠀⢠⡀⠀⠀⠀ ⠀⠄⠀⠀⠀⠰⠠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠆⢀⠁⠄⠃⠁⠀⣊⢑⢤⢂⡒ ⠀⢈⠀⡄⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⡆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣬⡱⢁⠅⠉⠄⢁⠈⢁⠀⠀ ⠀⢀⠀⠀⠨⠀⠀⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⣦⠃⠀⢘⠄⠀⠈⠡⣦ ⠀⢆⣄⠄⠀⠀⠀⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⡀⠀⠢⠠⢥⡉⡁⠀⠁⣂⡂⠐⠠

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

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣻⣿⢘⣿⣯⡿⣭⡯⣍⢗⣷⣆⢻⣿⣿⢿⡷⡽⢃⠌⡠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣾⣿⡿⡏⣼⣿⡽⣛⣿⣿⡸⣼⣿⣿⡐⣿⡿⣿⣜⠓⡁⠾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⢯⣿⢿⢃⣿⣿⡳⢯⣻⣿⣿⣽⣿⣿⣇⢹⣿⢽⣎⠝⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣼⣿⢯⢞⣼⣿⣿⢯⡳⣧⢿⣿⣯⢿⣿⣿⢸⠿⣾⢃⡊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⣴⣿⢏⣿⣿⣿⣿⣿⣿⣻⣞⣿⣿⣿⣯⣿⣿⡆⢿⣯⢳⢠⠑⡠⢀⠠⠀⢀⠀⢀⣀⣀⢐⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⢄⣟⣯⣷⣿⣿⣿⡿⣿⣿⣳⣿⣿⣹⣿⣿⣿⣿⣿⡇⢾⣿⣯⣯⣷⣶⣞⣿⣵⣯⣶⣒⠾⣎⣧⡹⠀⠀⡘⡔⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⣰⢵⢻⣽⣾⣿⣿⣿⣿⡟⣽⣿⣟⣯⣿⣿⣿⣿⣿⣿⣿⡇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⡅⢶⡉⣕⣥⢾⠃ ⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⣤⢞⣓⣾⣿⣿⣿⣿⣿⣻⣿⣯⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣼⡟⠔⣡⠎ ⣿⣿⣿⣿⣿⣟⣯⣳⣾⣿⣻⣿⣿⣿⣿⣿⣟⣷⣿⣿⣻⣿⣣⢿⣿⣿⣻⠣⠿⣛⡛⡝⡛⠇⣿⡘⢿⣿⣿⣿⣿⣿⡿⣿⣿⣟⠿⣿⣿⡿⣯⣿⠜⣥⠾⠏⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢾⣵⡿⣿⢯⣿⠻⡐⠂⠁⢆⠱⢠⠉⠆⠻⣽⣆⢛⢯⡻⣽⢫⡵⣥⠮⡍⣎⠱⡌⢱⡙⠥⢛⡎⠡⠁⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣮⢷⠻⢧⠷⣽⣷⢻⡣⠘⢁⠀⢂⠡⢡⠋⡔⣩⡔⣯⢧⡳⣝⢮⢷⣹⢖⡻⡼⣌⠳⣌⠡⠜⣌⠢⠀⠄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡳⢎⡼⢌⠓⡌⢢⣹⣯⣟⢧⣕⣰⣧⣮⣵⢯⣾⣿⣿⣿⣿⣷⣗⡘⢻⣟⣞⣯⡳⡽⢭⡳⢦⣋⠶⣈⢆⠩⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⠞⣬⢋⠷⡘⣌⠒⣤⣣⣿⣿⣿⣿⣿⣿⣿⣿⢫⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⠙⢻⣛⢽⡽⣣⡟⣧⢏⡷⣱⢊⡔⠠⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣏⠷⣩⢞⡥⢋⡞⣡⣲⣿⣾⣿⣿⢾⣿⣿⣿⡯⠟⠡⠛⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣦⣄⡈⠓⢝⡣⣟⣎⠷⣙⢧⢫⣼⡀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⢯⡳⣝⢮⣓⠮⣜⣳⣾⣿⣿⣿⣿⣿⣿⣿⣿⠯⠼⡁⠠⠆⠀⣛⠿⣿⣿⣿⣿⣿⣿⠿⠱⢿⣿⣿⡦⡆⠑⠄⠹⢏⡝⣎⣳⡞⣽⣢⣄ ⣿⣿⣿⣿⣿⣿⡿⣝⠮⡵⢎⡳⣎⣟⣾⣻⣯⣿⣿⣿⣿⣟⣯⣿⢳⠈⢄⠠⡁⠀⠀⠀⠀⡈⠙⢻⢛⣋⣅⣢⣽⣿⣿⣿⣿⣷⡕⣆⣀⢈⠓⣫⡜⢏⣾⡧⠀ ⣿⣿⣿⣿⣿⣿⡹⣌⢳⢭⣋⢷⡽⣞⣳⣯⣿⣿⣿⣿⢯⡓⣾⣿⣿⣿⣶⣷⣷⣶⣶⣿⣷⣾⣿⣾⣿⣿⢿⣿⢿⣿⣛⠿⡻⠿⠓⡈⠽⣾⣷⣤⣱⠟⠆⡰⠁ ⣿⣿⣿⣿⣿⢧⡻⣌⠷⣮⡝⣾⡹⣽⢳⣯⢿⣿⠿⣋⠶⣽⠿⡹⠿⣉⠏⡻⠋⠹⣿⣛⠟⡿⣒⠯⢿⠞⣟⢾⡻⢎⠧⣋⡔⠂⣤⣦⣀⠤⣝⢿⡿⣶⡐⠃⠀ ⣿⣿⣿⣿⣟⣯⢳⡽⣛⠶⣝⣧⣛⡧⡿⣞⡯⡞⣡⠣⠜⢣⠡⡑⢌⡐⠊⡄⠁⢄⠼⠖⠎⠨⠉⡉⠴⡉⠞⢦⡙⢮⡑⢎⠿⡾⠛⠁⣋⠃⠈⠂⠙⢿⣟⡆⠀ ⣿⣿⣿⣿⣯⣏⢷⣫⣝⡻⣜⢶⡹⢞⣱⢣⠞⢠⡁⢚⡁⠂⠄⠈⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⠡⢉⠆⣉⠒⣬⢆⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣗⠀ ⣿⣿⣿⣟⣷⡹⣎⠷⣎⡷⣙⠎⠱⠊⡐⠢⢘⡀⠌⠤⢤⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⣿⠀ ⣿⣿⢿⡻⣼⢳⢏⢯⠱⡌⡡⠊⠁⠀⡀⠁⠀⠀⠀⠀⠈⢈⠳⣣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢀⡿⠀ ⣿⢯⢯⠳⣌⠳⠊⢆⠁⠀⠀⡀⠀⣀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⠈⠑⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠱⠀ ⡻⡜⢎⡱⢌⠁⡣⢄⠂⠠⠊⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡵⣉⠲⡐⠀⠀⠄⠠⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠂⢊⣀⣤⡖⣒⣊⣍⣋⠅⡍⠍⠃⠓⠚⠚⡚⡒⡷⣧⣵⣔⣄⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⢕⣢⠗⠟⡙⢀⠁⠌⠠⠀⠂⠐⠐⠀⠁⠁⠈⠈⠀⠀⠀⠀⠀⠈⠉⠙⠷⣏⡒⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠝⢡⡐⠝⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠷⣌⡃⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠂⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢫⡢⡳⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⢐⠀⡂⠠⠁⠀⠀⠠⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠁⠈⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⢐⠀⠐⡀⡂⢈⠀⠠⢀⠂⠐⠀⢀⢈⠀⠀⢀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣅⠀⠀⢀⠨⠦⣂⡤⣧⣤⣕⣗⣺⣒⠚⡶⠚⠢⢤⣂⡃⠀⡀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⡛⢢⡳⢔⣫⠖⠓⠉⠉⠉⠍⣝⣍⡋⠗⠢⣄⠆⠊⠳⢆⡂⠀⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣐⣆⣈⢲⢔⣡⠴⠒⣫⠖⠉⠂⠀⠀⠀⡠⠋⠉⠀⠀⠈⢯⠁⠚⣿⡈⡠⠁⢙⢶⡂⠀⡠⠥⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⡄⠀⠁⡱⠊⠣⢩⠞⡓⠀⡠⣲⣿⣿⣷⣷⣶⣇⢹⠀⠀⢸⠀⠀⠘⡟⡫⣋⢁⡀⡝⢮⣀⠒⠁⠀⡀⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⡄⠀⠀⠀⡡⠛⠂⢄⡤⡏⠀⠀⠀⡿⣷⣿⣿⣿⣿⣿⣿⣿⡄⣀⡼⠀⠀⠀⡇⠀⠈⠺⣭⠠⢂⠵⣄⢀⢂⠐⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡁⣇⣀⡱⣛⣒⣶⡾⠛⠈⡇⠀⠀⠀⣿⣿⣿⡿⣳⣷⡿⣿⡿⡏⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠛⡓⢦⣎⡊⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢧⣇⣑⣏⡩⣵⠟⢁⢀⡀⠄⣇⠀⠀⠀⠸⣿⣿⣷⣿⣟⣟⡿⠊⠀⠀⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀⠈⠁⠀⢈⣉⡁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⣉⠏⠁⠉⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⣀⡴⠚⠉⡩⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠔⢒⠝⠉⠉⣉⠽⠶⢤⣄⡖⠠⠀⠀⠙⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊⠁⠀⠀⠠⢂⡶⠺⠃⢒⡶⠋⠇⡐⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠙⢲⢧⣀⣀⡆⠓⠂⠉⠳⣎⠈⠁⠀⠉⠓⠒⠒⠒⠒⠒⠒⠒⠚⠉⠀⠀⠒⡠⣠⡗⡋⡀⣀⠖⠋⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠄⢀⢺⠉⠉⠑⢶⡅⠄⠽⠶⣄⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠊⠀⠀⣠⠟⠁⠑⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⡀⢊⠂⠉⠓⢤⡂⠁⡛⠧⣄⡀⠀⠀⠀⢠⣀⠤⠖⡉⣉⠀⢐⡴⡊⡁⠀⠀⣠⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠆⠄⣀⡀⠠⠁⠉⡢⣄⠀⠀⠨⠉⡉⠋⠁⠑⠀⠀⢀⡤⠚⠉⠂⢄⠈⣀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠑⠒⠦⣆⡀⠙⠲⢬⣀⣡⣀⣀⣀⠥⠚⠁⠀⠀⢀⣠⠖⠋⠁⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠈⠉⢑⠒⠦⠤⠥⠤⠤⠥⠤⠔⠒⠋⠁⠀⠀⠀⠀⠀⠘⠾⠝⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠐⠀⠀⠀⠀⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⠀⠀⢀⠏⣄⠀⠈⠉⠑⠒⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡠⠋⠀⢸⠀⠈⠐⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⠀⠀⠀⠇⠀⠀⠀⠑⡀⠀⠀⠀⠉⡇⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀ ⠘⢿⣷⠀⠀⢸⣀⠀⠀⠁⠁⢣⠀⠀⠀⢇⡀⠀⠀⡀⠃⠀⠀⠀⠀⠀⠑⡂⠀ ⠀⠀⠘⠉⠉⠉⠁⠈⠢⣀⠀⠀⠀⢣⡀⠀⢣⣀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⢀⠀⠀⠙⢦⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠦⡀⠈⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡛⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⡚⠦⣀⡀⠀⠀⣀⡴⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠉⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⠀⠀⠀⠁⠉⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⠿⠻⠻⠉⠉⠀⠀ ⠀⠀⠏⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣤⣦⣷⢿⠘ ⠀⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⠋⣿⣼⢀ ⠇⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀ ⡿⣻⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⠀⠀ ⣀⣤⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⣀⣀⣤⣤⣀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠲⢤⠊⢹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠒⠤⠖⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⣨⣷⣦⣾⣿⡥⣄⡀⢀⣀⠀⠀⠀ ⠀⣤⣤⣬⣿⠿⠛⣩⣶⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⣠⡏⣆⠀⢸⣱⣿⣿⣷⣿⣿⣿⠦⠾⠆⠀ ⠀⣠⣟⣿⡦⠀⠀⠉⠻⠿⠿⠿⢛⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⣻⠖⠶⠶⢶⡷⠶⢶⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⠁⠀⠈⠀⠀⠀⠀⠀⠀ ⡠⣄⠀⣠⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠓⣄⣈⣀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⡄⠀⠀⢸⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡐⠀⠀⠀⢀⡀⠀⠱⣄⡄⣛⢄⣂⢀⢇⡄⠰⠬⣞⠁⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠘⡆⠀⢈⠽⡇⡁⢱⣠⣶⣴⣺⡓⣦⡤⣄⠀⠀⠘⢧⣀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠄⡀⠹⠦⡇⠀⣠⣿⠿⡛⡱⠈⠁⢁⣉⠓⢷⢳⡌⢀⠈⢧⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡈⠈⢉⣨⡿⢏⠁⠂⡠⠃⠀⡄⣝⠿⠀⠀⠉⢼⡏⢄⡠⠀⣀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠂⣠⣿⠹⠈⠀⠀⠀⡅⠀⢀⠃⡟⢸⠀⠀⠠⠱⠉⢉⣱⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡇⠁⠀⠀⢀⠀⠀⢅⠀⢸⠀⡣⠃⠀⠠⢁⡠⢐⡀⡠⡇⡀⣠⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⢟⣃⣠⣠⡅⢒⢀⠀⡀⢉⡚⠓⠓⠒⠚⡐⣋⢦⡤⠎⡔⡧⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠳⣔⡣⢥⣴⣤⣂⣂⣈⡧⠶⠖⣉⡔⡫⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⢐⣀⡀⣀⡀⢐⢒⠪⠕⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡴⣞⣻⠿⠟⠻⠿⠶⣦⣤⡤⣤⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢶⣦⡾⠿⠋⠉⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⡽⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡏⠁⠀⠀⠀⠀⠀⡰⠁⠀⠀⠈⢉⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⢇⡀⠀⣠⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠚⠷⣦⠀⠀⠀⠀⠀⠀⠀⠉⠉⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣄⣀⣤⣤⠶⠟⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⡀⠀⠀⠀⣀⡤⠞⠉⠉⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡯⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⣀⣴⡮⣵⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⢰⡯⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⡏⠉⠉⠉⠉⠉⠉⠉⠉⣩⡭⠉⠛⠋⠉⠭⣉⠉⠉⠉⠉⠉⠉⠉ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⢘⡻⢿⣿⣭⡯⣶⡛⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⢀⣠⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣄⡀ ⡇⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁ ⡇⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⣿⣿⣿⣿ ⡇⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣶⣾⣿⣿⠿⠻ ⡇⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠿⠟⠁⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⠏⠛⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠐ ⡇⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠘⣿⣿⣿⣿⡄⠀⠀⠐ ⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣄⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣧⡀ ⡇⠀⠀⠀⠀⢀⣰⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿ ⣇⣀⣀⣀⣤⣼⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⣟⣛⣛⣛⣛⣋⣉⣙⣛⣉⣁⣀⣀⣀⣀⣀⣀⣀⣀⣺⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠀⡞⠁⠀⠀⠀⠀⡀⡄⢆⡒⠀⣖⣦⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡄⠀⠀⠀⠀⡀⠮⢣⢟⠃⡀⠀⣔⠒⠓⠁⡉⢅⠒⣙⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⢿⡏⠹⠀⠀⣂⣮⡮⠼⣧⢧⡹⣒⣶⡒⠊⠉⠁⠀⠠⣜⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⣏⠏⢿⡇⣨⡜⡙⡬⠫⠝⣿⣿⣿⣟⡿⠂⢔⣤⡠⠀⡄⡟⣇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣚⠏⣷⠅⣿⣿⡽⡇⢳⣎⠿⣟⡿⠷⠗⡶⠮⠫⢦⡠⢉⠻⢏⡚⢁⠃⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣟⢱⡀⠳⢄⣟⣿⡝⡇⣟⡿⠇⠺⡟⠉⢅⠈⠅⠣⠩⠟⠋⠑⣷⢥⣃⣦⣉⡈⠁⡂⣈⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⡏⣑⢕⡥⣧⣗⠋⢠⣫⣎⡽⠇⡀⠈⣃⠔⠍⠃⠀⠁⠈⠀⠐⡩⡹⠄⠈⢹⣣⡧⡅⡘⣷⡻⡃⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣕⢇⣕⡟⠟⡋⡖⠂⡫⡅⠇⡉⠀⠀⢸⢀⠌⢀⠃⠀⠀⠀⠀⢀⠂⠝⠁⠀⢋⢄⡏⡯⣨⡍⠛⠥⣅⡐⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡣⣇⣽⡍⠏⢁⠈⠎⠉⢨⢹⠨⡂⠁⠀⠀⢈⢀⡁⠄⠀⠀⣆⡒⣲⠖⠆⡮⡤⣄⡐⡁⠃⣋⡧⢈⢂⡈⡩⡛⢢ ⠀⠀⠀⠀⠀⠀⢀⢀⣽⣱⠿⠏⠈⠁⠅⠀⠀⠁⣙⡐⡗⠀⠁⠀⠀⢀⢑⠄⠂⠀⠀⠣⠨⢭⢷⠷⠏⠉⠉⢀⣏⢌⡏⠈⠡⡃⣊⡗⢞⣄ ⠀⠀⠀⠀⠀⠄⣠⣙⡿⠋⠁⠐⠇⠀⠀⠀⠀⠀⡂⠺⣌⠁⠁⠂⠀⣐⢐⠑⡁⠀⠀⣀⢊⠦⠀⠅⠀⠀⠀⠀⣧⠉⠂⠀⢀⠄⣣⣽⣿⣟ ⠀⠀⠀⠀⠈⢄⢏⡿⠍⡅⠊⠀⠀⠀⠀⠀⠀⠀⡂⠐⣃⡐⡁⠀⠀⠀⠑⠅⣥⣃⡗⠎⡉⣀⠐⠀⠀⠀⡈⢾⠃⡀⠁⠠⠻⡚⣑⣥⠓⠉ ⠀⠀⠀⠌⡠⢧⡟⢑⡏⠁⠂⠀⠀⠀⠀⠀⠀⠀⢅⠨⠅⠃⢆⣁⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⡠⡌⠷⡡⡋⠅⠃⠔⣎⠏⡏⠁⠁⠂ ⠀⠀⠰⠃⡇⠇⠃⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠕⡅⡒⡗⡅⣁⡐⡀⠂⠀⠂⠐⢈⠢⢖⡫⡞⣭⡁⠣⡁⡒⢋⣑⠫⡁⠄⠀⠀⠀ ⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠁⠀⠉⠙⠛⠛⢙⠭⢍⠩⠁⡏⣡⡌⣉⣿⠾⡔⡁⢙⡓⣏⠂⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣀⠀⡀⡀⣀⡄⡤⡰⡤⢑⠐⠅⡁⣩⡵⣾⣷⡯⡏⣁⣋⠙⠅⠀⠃⢕⣄⣿⣯⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠛⠛⠃⠋⠁⢲⡏⡜⡁⡍⠥⠄⠒⠉⣡⠊⠀⠁⠉⠕⠯⠟⢗⠀⠁⠀⠉⢿⡿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢐⠀⡇⠀⠉⠁⠀⠀⠀⠀⠀⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠸⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠵⡡⠀⠀⠀⠈⠭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⣹⢆⠀⠀⠀⠀⢹⡇⠀⠀⠀⠈⡥⠲⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠀⠈⠻⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⡤⢤⣒⣒⡒⡒⠖⠶⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣆⡐⠢⢍⠑⠙⠁⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⡤⡭⢘⢐⠁⠂⠁⠁⠁⠀⠁⠀⠀⠁⠒⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⢠⠊⠒⠅⠠⠀⠂⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡦⡀⠩⠂⢄⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡐⡒⣀⠠⡀⠔⠈⠀⠀⠀⠀⠐⣀⢤⡄⡬⣠⡤⠄⠀⢀⠀⠀⡀⠀⢀⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣄⠋⠡⢀⠂⠁⠀⠀⠐⡀⢠⢠⡈⢎⡗⢈⠅⣿⡇⠦⠱⠒⡂⠀⡂⠠⠠⢀⠀⠀⠈⠃⠀ ⠀⠀⠀⢀⣢⠊⠐⡁⠪⠀⢀⡤⢐⡄⣃⢳⣯⠃⠆⠈⠂⠈⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠈⢀⠂⠟⣐⠂⡄ ⠀⠀⡠⠮⣏⠔⢊⡀⡄⡲⢃⡩⠚⠄⠑⢐⣗⠀⠀⠀⠀⠀⠀⢘⡇⠀⠀⠀⢀⠀⠄⠐⡈⣠⡔⠑⠂⠁⠀ ⠀⢸⡛⡁⠁⣀⠄⡃⡕⠃⠁⠁⠀⠀⠀⠀⣟⠄⠀⠀⠀⠀⠀⣸⡇⠄⢀⠁⡄⢠⠂⠙⠈⠀⠀⠀⠀⠀⠀ ⠀⠬⠁⣀⣟⡕⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⡀⣀⠀⠆⠀⣂⠋⠔⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⡔⡻⡏⠇⠄⠠⠠⠀⠄⠐⢀⢂⠘⢀⠉⡇⢂⠀⠌⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⡗⠃⠂⠑⠈⠐⠈⠈⡈⢀⠀⠂⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠧⠤⠤⠠⠐⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢛⡧⣆⣤⣐⡂⡁⠁⠃⠃⠅⡃⠄⡀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠩⡄⢃⠀⠀⠂⠀⠀⠀⢔⠙⢣⡹⠶⠉⠁⠀⠈⣉⡶⣥⠁⠉⠆⡅⠇⢔⡀⡀⡠⡮⠎⠕⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠲⢑⡄⢀⠄⠎⣡⠚⠁⠀⠀⠀⠀⠀⠀⡏⠁⠀⠀⠀⠁⡷⠀⡏⡴⢞⠗⠑⠊⠁⠀⠀⠀⠀ ⢀⣀⣂⣒⠤⡄⡂⡇⡝⡢⠅⠈⠁⠀⠀⠀⠀⠀⠀⠀⠞⡃⠀⠀⠀⢀⣯⠇⠀⠃⡅⠧⡌⠂⠀⠀⢀⠄⠊⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣠⡗⡭⠀⠀⠀⠈⡫⠍⢖⣝⠅⢀⡤⡕⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠍⠅⠀⢣⠨⢏⡿⣀⠀⡀⠀⠔⣏⠀⠀⠙⠋⠙⠓⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣗⡆⠀⠉⠉⠉⠉⠁⠀⠊⡠⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡼⠓⠚⠃⠗⡏⠭⡥⡿⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠖⡂⠋⠃⠁⣉⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡃⠔⡋⠁⠀⠀⠀⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⡀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠃⠀⠀⠀⠀⡇⠛⡄⠧⣑⠄⡀⠀⠀⠀⠀⣀⡤⠮⡟⠫⡋⠁⠠⢽⡎⠻⡍⠁⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡯⠀⠀⠉⠓⠒⠒⠂⠃⠁⠀⠀⠀⠛⡦⡩⠅⠀⠀⠀⠀⠱⡽⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡄⠀⠀⠀⠀⠀⠃⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠁⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⢄⠁⠀⠈⠘⠀⠀⠀⠁⠀⠀⠐⠀⠐⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡡⢀⣀⡀⢄⢤⣢⢢⡄⠣⡀⡥⡂⢅⣄⠕⠄⣀⡀⠀⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠄⡀⣴⣭⢴⡰⣒⣏⣿⣏⢏⡦⢗⠏⡇⡭⡷⣓⡅⡫⢒⢀⢀⠀⠀⠀⠄⠀⠀⠀⠀⠈⠀⠀⠀⠀ ⠀⠀⠒⠄⡀⠀⠀⠀⠀⢄⢠⡀⠂⢀⢖⠉⡌⣎⣕⣟⡏⢖⡿⠯⠪⠱⠦⡜⢉⠖⣅⡟⡞⣋⡯⡶⡅⢍⡀⠀⠀⢀⠀⡀⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠐⡀⠀⢰⣄⣈⣄⡤⡫⢁⢆⣣⣹⣩⠝⡧⡧⡤⣮⠃⢀⣤⠏⣁⣁⡁⢇⣏⡇⡏⡂⡌⡤⡤⡥⣧⡅⡀⢐⡅⠄⠁⠀⠠⠀ ⠀⠀⠀⠀⠀⠀⠠⠀⠀⡹⡮⠋⡢⠠⠅⠏⢯⣟⢟⣶⡇⡯⠁⢍⢓⣁⠕⡣⠆⢭⢻⡽⡟⡓⢌⡈⠊⠉⡤⣁⡏⠹⢂⡆⢀⠁⠙⠀⠀⠅ ⠀⠀⠀⠀⠀⠀⠐⠀⡀⡇⡛⣦⡽⠐⡻⡃⣼⣻⣞⣿⣋⢵⡝⣠⢘⠧⡦⣗⡤⣕⣽⡏⣣⡦⡃⡍⡸⡂⡄⡎⢕⠑⡋⣍⡟⡗⢂⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⣐⠇⠀⢔⡊⢽⡔⠣⡹⡀⣒⢻⢝⡃⣥⣧⢷⠟⣆⡝⣧⡪⣭⢯⠫⢏⢧⢢⡞⣉⢄⡢⠙⠆⡀⡯⣴⠗⣢⡋⠣⡀⠀⠀ ⠀⠀⠀⠀⠀⢀⠓⠀⠀⠀⠂⡣⡣⣎⡉⠏⡝⢈⣋⡾⡯⡐⡁⢖⢺⣍⡅⣲⣜⠃⣿⡋⡓⣏⠅⢫⡏⣪⠄⡆⣯⣷⢩⠆⠦⠀⠀⠇⠀⠀ ⠀⠀⠀⠀⠀⡞⢪⡀⠀⠀⠀⠀⠕⠌⣗⠯⠡⣋⢖⣅⣇⡅⣃⣥⡌⡆⠌⢅⠭⠨⠽⠢⠃⡁⠱⢺⡌⢡⠲⡳⡓⢵⢡⠀⠀⠀⢀⠃⠀⠀ ⠀⠀⠀⠀⠨⠓⠂⢌⣂⠀⠀⠀⠀⠁⠁⠑⢊⢤⡀⡥⠤⠣⠊⢉⣑⢖⡁⡅⠩⣄⡛⡂⣄⣅⠂⠈⣁⠤⠜⠁⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀ ⠀⠀⠀⠀⡊⠀⠀⠀⠀⠑⢄⡀⠀⠀⠀⠀⠀⠉⠁⢵⡇⣖⣋⣀⣆⢯⡹⡛⣍⣚⢩⡅⡇⢧⠋⠨⠀⠀⠀⠀⠀⠀⠄⠂⠢⣠⠇⠀⠀⠀ ⢆⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠱⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠊⠋⠇⠁⡅⢩⠍⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠄⠊⠁⠀⠂⢀⠀ ⠀⠃⠤⢬⠄⠄⠂⠀⠀⠀⠀⠀⠈⠒⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠔⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⠀⠀⣀⣀⡀⣀⢀⡀⡀⡀⠑⡃⡀⠈⠀⠀⠀⠀⠀⣀⠀⡀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⡖⠉⠀⠀⠀⠀⠀⠀⠀⠈⡁⠉⣾⠒⠒⠄⠤⠤⠥⠄⠄⠄⠄⠅⠤⠤⠊⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢊⠊⠃⠥⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠄⠀⠀⢐⡁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢆⠀⠉⠉⠈⠐⠅⠀⠄⠀⠀⠀⢀⣠⣤⠃⠁ ⠀⠀⠀⠀⠀⠀⡀⣔⢶⠉⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠙⠀⠂⠄⠀⠄⠔⠀⠄⠔⠂⠀⠈⠉⠊⠳⡆⠀ ⠀⠀⡀⢢⡪⠖⣩⣄⠀⠀⠀⠀⠂⡄⠀⠀⠀⠀⠈⣂⠀⠀⠀⠀⠁⢁⠀⠀⡐⠈⡐⠀⠀⠀⠀⠀⠀⡀⡍⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣗⠀⠀⠀⠀⠘⠤⠀⠤⠠⠄⢤⡷⡂⠀⠀⠀⠉⢠⠠⠍⠀⠀⠀⠀⠀⠀⡀⢐⡞⠁⠀ ⠀⠀⠀⠀⠀⠀⣀⡀⣥⡁⠃⠀⠀⠀⠀⠁⠄⠅⠃⠁⠀⠀⠀⠀⠀⠀⠊⠡⡀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀ ⠀⠀⠀⠘⠓⠒⠒⠑⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⡂⣀⡀⡀⣘⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⡤⡚⣂⡑⠌⢂⡁⢅⣁⠉⠆⠅⢊⢋⠋⠤⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⡄⡀⡀⢈⣤⣃⠃⠐⠂⠀⠐⠁⠀⠀⠁⢃⠎⠰⠐⠀⠁⡂⠀⠁⠂⠡⡧⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠅⢄⣓⠙⠁⠐⠂⠄⡅⣀⢀⠫⠀⢄⢀⠮⠠⣈⢀⠁⡈⠀⠀⠀⠀⠀⠀⠁⠓⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠁⢂⣏⡠⡮⠡⠢⠀⠃⠀⡐⣂⠀⠂⠇⠠⡂⠄⠩⠀⠁⡈⣢⠀⠀⠀⠀⠀⠀⠀⢰⡮⠤⠀ ⠀⠀⠀⠂⠄⠤⡖⠕⢘⠠⢘⠀⡁⠌⠐⢄⠻⠢⡷⠐⠀⠀⠀⠆⠀⠀⠀⠘⠏⠀⠀⠀⠀⠀⠀⣘⠅⠀⠀⠀ ⠀⠀⠀⠀⠈⢀⡋⠌⠈⡄⠗⠂⢀⠈⠆⠀⡁⠈⠧⢄⠀⠖⠁⠠⠀⠀⠁⡠⡅⠀⠀⠀⠀⠀⠠⠁⠁⠁⠀⠀ ⠈⠋⠴⠆⠖⢃⠂⠀⠂⠐⡀⠈⢢⢀⠁⠠⠐⠀⡄⠀⠃⠀⡀⠀⠀⣀⡜⠌⠀⠀⠀⠀⠀⡨⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡁⣬⡀⠀⠀⠠⢀⠀⡁⠨⡉⡂⠀⡁⢀⠂⣁⠢⡁⢔⠂⠁⠀⠀⠀⠀⢀⡈⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⡉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⡀⠀⡀⡄⠖⠂⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠽⡂⠈⠡⠀⣂⠐⢀⡜⡗⣏⠋⠁⠁⠉⠋⠁⠃⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⠁⠚⠛⠃⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⡀⠠⣼⠄⠵⠒⠂⠉⢇⡋⠉⠓⠀⠀⠄⠹⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠄⠄⠢⠅⡄⣔⢁⠁⠀⠡⠍⢁⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡐⠀⠀⡘⠀⠀⠀⡄⠀⠉⠁⠘⠫⢀⡠⠄⣀⡤⠤⢶⡳⢿⠯⠭⠯⢭⠾⣥⣐⡃⠂⢄⠀⠑⢴⡠⡈⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢇⠀⠀⠡⠣⠄⡒⠖⠉⠁⡄⢀⡠⣆⢿⠵⠏⠙⠑⡁⡰⡁⡀⣃⢇⢄⣆⠄⠣⡋⠋⠝⡿⢵⠽⡀⠉⠕⢊⡁⠰⠀⠀⠰⠀⠀⠀⠀⠀⠀ ⢅⡡⢄⣨⡩⠖⠊⠀⣁⢕⣿⠏⡕⣦⢯⢱⣯⡿⣿⠽⡟⡖⣟⠅⠊⠄⠆⠉⠹⢳⡹⡇⠀⠀⠁⠊⢿⢕⠌⡉⠁⠑⣔⡠⡇⠀⠀⠀⠀⠀ ⠀⠬⡩⠚⢁⠲⣮⡪⢋⠊⠀⠐⢼⠊⠒⠽⢫⣿⣷⣯⣽⣧⣘⠘⢌⠜⠈⠕⠄⠁⠉⣋⢣⠀⠀⠀⠀⠀⠉⢓⠷⣄⠀⠈⠀⠉⢱⠀⠀⠀ ⠀⠀⠀⠉⡡⢿⠏⠁⠂⠇⠁⣄⣯⡬⣛⣿⣿⡿⣾⢻⣿⣿⣿⡷⠁⡯⠮⣃⢀⠠⠃⠀⠂⡓⡀⠀⠀⠀⠀⠀⠀⠡⠉⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⡜⢁⠺⠁⠀⡠⢨⠀⠤⡡⢾⣏⢷⣿⣟⣿⡯⣯⡾⡿⠯⢿⠬⡏⠠⠉⠀⠉⠃⠉⠸⡏⡀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡷⡻⢆⠀⠀⠀ ⠀⠀⣿⠁⠠⡀⠀⠀⠘⡍⠉⠡⠵⡿⠗⢔⠿⡿⡾⢟⠷⠏⡿⢿⡯⠈⡗⠬⠀⣄⠐⠀⡜⠁⡁⠀⠀⠀⠀⢀⡠⠴⣫⠟⠙⠈⠀⠀⠀⠀ ⠀⠀⠈⠙⠧⠷⣭⣓⠦⢷⣎⠂⠠⡉⣔⡎⠍⡏⢇⡂⡖⠠⠧⡗⢰⡃⠀⢀⡀⡲⡯⢤⡲⠾⠋⠉⢁⠠⣤⠔⡉⠉⠑⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡔⡯⡄⠀⠀⠉⡉⠓⠊⠿⠿⢾⢕⣮⣥⣶⡽⣧⣥⣵⠿⡭⠭⠶⠦⠝⠚⠂⠒⡒⠩⠁⠈⠀⡄⠀⠀⠁⠖⠀⠈⠂⠀⠀⠀⠀⠀ ⠀⠀⠃⠳⣠⡄⢀⡴⠟⠀⠀⠀⢠⠀⠀⠀⠀⠀⠏⠸⠀⠈⡇⠁⠁⠀⠁⠁⠈⠈⣠⠈⠀⠀⢙⣢⡀⠄⠀⠘⢤⠤⠠⠈⠃⠀⠀⠇⠀⠀ ⠀⠀⢸⠏⠀⠀⠽⠉⠉⠉⠉⠨⡇⠀⡄⠀⠀⣨⡆⣀⣘⡀⡀⢣⠱⡗⠈⠁⢙⡍⡇⠉⠈⣽⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠅⠀⠀⢲⠀⠀⠀⠀⠀⡓⡭⠂⠃⠤⠄⠦⠡⠀⠸⠀⠀⠀⠸⠂⠁⠀⠀⠀⠋⠀⠀⠀⠨⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⠁⠘⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⠤⢤⣆⡒⠭⣭⣳⣒⣲⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣆⣯⡽⢿⡯⠭⠛⠛⠓⠛⠛⠒⠚⠉⠋⠋⠋⢩⡻⠟⣿⣖⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⡤⢶⡿⠟⠉⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡀⠀⠘⢿⡿⡦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⣷⠋⠁⠀⠀⠀⠀⡖⠁⠀⠀⠀⠀⠀⠀⢰⡁⣃⠠⠤⠤⠄⠤⠤⠄⠀⠀⠈⡇⠀⠀⠀⠈⠿⣆⠀⠀⠀⠀⠀⠀ ⠀⣰⣿⠉⠀⠀⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠛⠬⡀⠇⠀⠀⡂⠀⠀⠤⠂⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠍⣧⠀⠀⠀⠀ ⠉⠙⠿⣧⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠍⠃⢄⠀⢨⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⠘⡟⣄⠀⠀ ⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡈⠀⣀⠄⠋⠣⣡⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⢀⣼⣏⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣇⡀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⣤⠞⠋⠉⠉⢻⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠓⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⢤⢶⡗⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇⠀⠀⠀⠀⠀⠀⠉⠉⠁⢹⡏⠉⠉⠉⠉⠁⠙⢧⡀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠈⠆⡀⡂⠄⠅⠅⠔⢤⡠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⡀⡧⡑⣗⣽⣩⣹⣛⢣⢗⣗⡇⢜⢉⡈⡤⢂⢠⣁⠂⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⡀⠀⠀⠀⡀⠄⡩⢬⡏⠅⠏⡃⠄⠈⠐⠐⠀⠃⠋⡉⠘⠍⡒⡇⢉⡍⡩⠹⠁⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡁⡠⠊⡕⡲⠎⠥⠄⠁⢀⠀⠁⠀⠀⢁⠀⠠⣄⡅⡄⢏⡎⣨⣡⡂⠄⠋⠛⠍⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠄⠀⢄⢦⡣⠇⠃⠀⡀⠀⠁⠀⠀⠀⠀⡀⠂⠆⠀⠳⠩⠉⢗⡄⡉⠃⠻⢀⠅⠁⡁⠁⡀⠄⠂⠀ ⠀⠁⠄⠄⠠⡀⠆⣎⡫⣃⠁⠁⠀⠀⠀⠀⠀⠀⠀⠠⣀⢁⠈⡢⢋⣛⠍⣝⣅⡧⠄⡀⡓⠠⠃⠃⣅⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠇⠿⡽⠀⠁⠀⠀⠁⠀⠀⠀⠄⠀⠀⠅⠐⡒⠠⣌⡄⠌⠈⠄⡀⡍⠀⠀⡈⡀⠀⠁⠒⠀⠁⠁⠉ ⠀⠀⣀⣐⣝⡟⣟⡉⠇⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠆⠄⠂⢕⠈⣩⡛⠀⡃⣂⡄⠅⠠⠄⠀⠁⠅⠀⠐⢅⠀⠄ ⠀⢀⡺⢻⣏⡁⠍⡀⠓⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⣆⢑⢐⡯⢗⠼⡐⣶⡄⡆⠃⠀⠢⠀⡄⢆⠁⢬⠅⠀⠀ ⡐⡁⠧⢈⡇⠂⠁⠌⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠰⠄⢃⣀⠹⢴⡿⠠⠁⠂⡀⡁⠐⠄⢂⠀⠔⠀⠀⠀⠀ ⡇⠀⢉⠍⢇⠢⣇⠉⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠉⡠⠂⠅⠊⠀⠉⠀⠃⠉⠁⠃⠀⠀⠀⠄⠀⠀ ⠀⠈⠠⢂⡀⣋⡟⢐⡈⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⡀⠀⠠⠂⢐⠤⠢⠋⠀⠀⢀⠀⠂⠀⣀⣀ ⠀⠀⠀⠀⠀⢁⠁⢁⡸⡊⢐⠣⡃⡘⠠⠂⡄⡀⠀⠀⠀⠀⠀⠀⠀⠉⢀⠔⡃⠁⡁⠄⡁⠀⡉⡀⠃⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠡⠂⠂⢈⡐⠀⠀⠀⠀⠋⠂⠢⠅⠅⢦⡀⣀⣀⣀⢤⡫⠊⠀⠁⠀⠅⠁⡈⠀⠒⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠊⠢⡈⠂⠉⠈⠐⠀⠀⠀⠘⠁⠁⡉⠀⠀⠗⠴⠁⠐⠁⠄⠅⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠓⠐⢄⠁⡁⠀⠀⡠⡓⠌⠀⡀⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠆⠐⠤⠠⠀⠂⠀⠀⠀⠀⠀⠡⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣶⣤⡀⢀⣤⣶⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀ ⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀ ⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀ ⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

☻ 😃 ● S☤ℕ

⡇⠀⣴⣦⣤⣤⣽⣿⣿⣿⣿⣿⣷⣦⣤⣤⣤⡄⢩⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣦⣤⣤⣤⣿⣿⣿⣿⣿⣭⣥⣤⣤⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢰⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣧⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢏⣻⣿⠿⠻⠛⣉⣉⣉⡈⠻⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⡀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⠿⣵⠈⣊⣁⣤⣶⣿⣿⣿⣿⣿⣿⡆⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣤⠈⢿⢳⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣢⢸⠸⡿⣿⣏⢻⣿⣿⣿⣿⡿⠈⠒⠛⠻⠿⢿⣿⣿⣿⡿⢧⣿⠫⠀⢇⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣦⠀⠂⣾⣿⣿⣿⣿⣿⣿⣿⡿⠋⣉⣉⡉⠀⢷⡿⢸⣿⣾⣿⣿⣿⣿⣿⣶⣿⣿⣿⣷⣀⣶⣶⡦⠀⠙⠏⠀⣰⣄⠀⡸⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣷⡄⠙⣿⣿⠟⠫⠚⠛⠋⢀⢾⣿⣿⣧⡆⠠⣤⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣤⡀⢽⣿⡌⢸⣸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⡆⠈⠁⣐⢾⣷⣲⠀⠟⠛⠻⢿⣿⡿⢀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠞⠟⣳⣄⠈⢻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡏⠘⠈⠀⣴⣖⢸⣿⣿⣿⠃⣰⣶⣿⣶⡄⠹⣧⣤⡁⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⡢⣄⡙⠷⠀⠹⢿⡻⢿⣿⣿⣿ ⣿⣿⣿⣿⣟⡄⢠⡾⣿⡇⠘⡟⣽⣿⡀⢿⣿⢿⣿⡟⢀⢿⣷⣽⣆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡋⢝⣳⣶⣶⣤⣭⣍⡉⠙⢿ ⣿⣿⣿⣿⣿⠀⣾⣷⣟⣿⣶⡈⠌⣿⣷⣄⣙⣛⣋⣠⣾⣿⣿⡿⠂⣸⡿⣿⣿⠿⣿⣿⣿⣿⣿⣛⠿⣻⣿⣿⢿⣿⣿⣿⣿⣟⠻⠶⣿⣟⣻⣿⣿⣯⣿⣿⡆⢸ ⣿⣿⣿⣿⣿⠀⣿⣿⡏⢫⣿⣇⠘⣿⣿⣟⣯⣾⡿⠁⣉⢉⣉⡠⢴⣿⣿⣿⣧⠏⢈⣙⣛⣛⣛⣛⣃⢤⣀⠹⢟⢻⣿⣿⣿⠟⡛⢦⣈⠛⠿⣿⣿⣿⣿⣿⠏⢸ ⣿⣿⣿⣿⣿⠀⢹⡻⠃⢨⣿⣿⣆⡘⠳⠬⠽⠟⠉⣼⣿⣿⢻⠛⠖⠍⠛⠋⢀⢴⠿⠛⠂⠚⠛⠛⠛⠚⠛⠿⢦⣭⡭⠍⠉⣹⣾⣿⡿⣷⣶⣄⠉⠉⠉⣉⣠⣾ ⣿⣿⣿⣿⡏⢰⠟⢀⣴⣿⣿⣿⡿⠭⠒⡺⢢⣶⣾⣿⣿⡿⠃⡄⠄⠰⢚⡀⠠⣴⣶⣾⣿⣿⣿⣿⣿⣦⣕⣶⣶⣤⣙⡛⢄⠙⢿⣿⣿⣦⡙⣿⡇⢸⣿⣿⣿⣿ ⣿⣿⣿⡿⠃⣈⣴⣵⠎⣿⣟⢿⠇⢠⣿⣶⣮⣭⢻⡷⠁⣠⠀⣁⢤⣮⣭⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠈⠀⠀⠙⢤⡀⢀⣉⠛⠋⣿⣾⡇⢸⣿⣿⣿⣿ ⣿⣿⡏⢠⣴⣿⣿⣿⣿⣷⠝⠁⣰⣿⣿⣿⣿⡮⢠⣔⠎⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠉⣷⡈⢻⠀⡃⢿⣿⠀⢿⣿⣿⣿⣿ ⣿⢻⠀⣻⡿⣿⣿⣿⠿⠄⢀⢼⣷⣟⡻⣿⣿⠇⠘⢃⡼⠋⠀⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢹⣧⠀⠰⢰⡌⣿⡇⢸⣿⣿⣿⣿ ⣿⣸⡀⢿⡧⣙⠿⠿⠁⣠⡻⠦⠻⣿⣿⣿⠇⠀⢠⡟⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⠿⠻⣿⣿⣿⣿⣦⡀⠀⠀⠄⢀⣾⣿⡇⠀⠈⢻⣿⠃⢸⣿⣿⣿⣿ ⣿⣿⣷⣄⡈⠉⠁⣴⢟⣿⣥⣌⣓⢊⡟⠁⣴⢠⢧⡇⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣠⣴⠯⠻⣿⣿⣿⣿⣦⣤⣶⣿⢿⣿⡇⠀⣴⡾⠃⠠⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣷⡘⡀⢳⣍⣿⣿⣿⣿⡜⣿⡆⢸⢸⢸⣧⠀⠀⠀⠀⠀⠀⣨⣿⣿⣿⣿⠉⠉⠉⡀⢀⠀⢙⣿⣿⣿⣿⣿⣿⣿⣧⡙⢀⣴⠟⢀⣴⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣌⣠⣀⠙⢿⡿⣿⠻⢃⢱⡇⢸⠸⡘⣿⣧⣀⠀⠀⣀⣴⣿⣿⣿⣿⣿⠀⠂⠂⣿⡏⠀⣜⣸⣿⣿⣿⣿⣿⣿⠏⢀⣾⠄⢰⣯⣽⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣧⠈⣿⡿⣱⣿⣿⣁⠈⠀⢯⡌⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣶⣀⠀⠈⠀⣠⣶⣿⣿⣿⣿⠿⠋⣠⠴⠭⠋⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⢂⡘⢷⣿⣿⣿⣿⡗⠀⠈⢿⣿⣿⠿⣿⣿⢿⣿⣿⣿⣿⢿⡿⢿⣿⣿⡿⠋⣉⣥⣍⡉⢁⣐⠺⠃⢠⣴⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣀⡙⠻⣿⡿⠿⣧⡀⣄⣈⠻⠿⠿⠿⠿⠝⠟⢁⡤⢖⣲⣦⡈⠛⢠⣾⣿⣿⣿⣷⡀⢻⣶⣷⡀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡂⢒⠀⣸⣾⣵⣯⣀⣾⣿⣿⣿⣿⠁⣀⣊⣼⣷⣮⣿⣾⡄⠻⣟⣻⣿⣿⣿⡇⢸⢱⡿⠁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⠞⠀⣿⣿⣿⣿⣿⣿⣭⣩⣝⣛⠁⡟⡌⣿⣿⣿⣿⣿⠇⢸⣼⣿⣿⣿⣿⡇⢸⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠜⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠋⣰⣿⣹⣿⣿⣿⣿⠏⠀⠀⢿⣿⣿⣿⣿⠇⠚⠿⠃⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠣⠖⢸⣿⣿⣿⣿⣯⣿⣿⣿⣿⡆⣿⣿⣿⡯⣭⠟⢁⣴⣿⣶⣤⣈⣉⣉⡄⢐⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⡀⠙⠻⢿⣿⣿⣿⣿⡿⠟⢁⣉⠽⢏⣉⣠⣲⣿⣿⣿⣿⣿⣿⣿⣿⠇⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣄⠙⡙⣋⣁⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⠿⡅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢛⣿⣿⣿⣿⣿⣿⣇⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢹⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣠⠀⠹⣿⣿⣿⡿⢿⣳⠏⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⡇⢹⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⡈⣀⣀⣉⠃⠛⠉⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣄⡙⠻⠿⠿⠿⠟⠋⠠⣶⣿⣿⣿⣿⣿⣿⣿⣾⠾⠦⢤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡻⣝⢫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠯⣏⢧⠽⣼⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡛⣥⢳⢭⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢞⡼⢎⡽⣹⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡹⣎⣏⡞⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣼⣯⣾⣷⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡏⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠸⠿⢿⣿⠿⠿⠿⠿⠿⠿⢫⣾⣿⣿⣿⣿⣿⣿⣿⡿⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣏⢟⡻⣿⣿⣿⣿⣧⢹⣿⣿⡿⠟⠛⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⢿⣿⡿⣩⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣼⣮⣽⣿⣿⣿⣿⣿⡏⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠿⣿⣿⣿⣯⣽⣿⢟⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣏⢿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠤⠒⠒⠒⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⢿⢋⣵⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣝⢿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣎⢿⠗⠈⠀⠀⠀⠀⠀⠀⠀⠀⠉⠱⣆⣤⣴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⠏⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣼⣳⠇⠀⠤⢄⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢫⠏⠁⡀⠈⣧⠀⠀⠀⠀⠀⠀⠘⠉⠀⠀⢿⣿⣿⠿⣻⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⡔⠃⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣶⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢠⣏⡿⡹⠆⠀⠀⠀⢀⠔⢈⠀⠀⠀⠀⠀⠀⢠⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠹⠾⠁⠀⠀⠀⢰⠁⢀⠿⠆⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⢧⣀⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠒⢉⠠⢐⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⠿⠿⠿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠄⢀⣉⣀⣀⣀⢀⠠⠤⠀⠐⠀⢁⠀⠀⠂⠁⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣷⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠟⣫⣴⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⡖⠀⠀⠀⠀⠀⠀⠀⣀⡠⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣟⣻⣿⠟⣋⣴⣾⣿⣿⣿⢋⣾⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⢀⣦⣉⣛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⢃⣿⣿⣿⣿⣿⣷⣦⣤⢱⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣡⣾⣿⣿⣿⣿⣿⣶⣦⣍⣛⣛⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⡏⢸⣿⣿⣶⣦⣤⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⣀⣠⣠⡐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣌⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⢿⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡿⢾⣿⣿⣿⣿⢿⣿⣿⣿⣿⣯⣟⣿⣿⣿⣱⣿⣿⣟⣿⣳⣻⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⢻⣿⣿⣟⣿⣿⣿⣿⣿⣟⣎⠫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣽⣻⣿⣿⣿⣯⢿⣿⣿⣿⣟⡶⢯⣿⣿⣿⣿⣿⣿⣿⢳⣯⡽⣿⣿⡆⣿⣿⣿⣿⡿⡽⣾⣿⣿⣿⣧⠹⡷⣯⢾⣿⣿⣿⢿⡼⣏⣧⡙⢿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿ ⣿⣿⣟⡶⢯⣿⣿⣿⣯⢿⣿⣿⣿⢯⡽⣯⣿⣿⣿⣿⣿⣟⡞⣟⣶⣻⣿⣿⣇⣻⣿⡿⣏⡾⣽⣻⣿⣿⣿⣟⣧⢹⣳⢿⣿⣿⣟⣯⢾⡽⣞⡽⣦⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⣞⣽⢯⢿⣿⣿⢾⣹⢿⡿⣯⣟⣳⢯⢿⣿⣿⣿⡳⣯⣽⣛⡶⢯⣿⣿⣿⣿⡿⡽⣽⡽⣳⣿⣿⣿⣟⣾⢳⣯⢯⡟⣿⣛⡾⣞⡽⡾⣽⡽⣞⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣻⡽⣞⡷⣯⣟⣯⢿⣹⢾⣝⡷⢾⣹⢯⣻⢟⣟⣳⢿⣱⢷⣫⣟⢯⣿⣿⣿⢯⢷⣻⢧⣟⢷⣻⣿⡶⣟⣾⢻⡼⣯⣽⡳⣯⡽⡾⣝⣿⣱⢯⣟⣶⣻⣞⣿⣿⣿⣿⣿⣿⣿⠿⣿ ⣷⣻⡼⢯⡽⣞⣞⣧⡿⡽⣾⣹⣞⣯⢯⡟⣧⣟⡾⣽⣫⢟⣾⣳⡽⣛⣾⢳⡯⢯⣟⡾⣽⣺⢏⡷⣯⣽⣻⡼⣯⣟⢾⣵⣻⢷⣻⡽⢯⡶⢯⣟⡾⣵⣳⢟⣾⣽⣫⡽⡾⣵⣞⢿⣳ ⣷⡳⣟⣯⢟⡽⣾⣱⠿⣽⣳⢯⣞⡾⡽⣽⡳⣯⣞⢷⢯⣟⡷⣭⢿⡽⣞⣯⣽⡻⣞⣽⢾⡽⣻⡽⣞⣧⠿⣵⣻⢞⡿⢶⣻⣏⡾⣽⢯⣟⣟⣮⣽⢾⣭⣟⡾⣵⢯⣷⣛⣧⣟⢯⣞ ⠷⠻⠽⠞⠯⠟⠾⠭⠿⠳⠯⠟⠾⠽⠻⠵⠿⠵⠯⠯⠟⠾⠽⠻⠾⠽⠾⠵⠾⠽⠻⠼⠯⠽⠷⠻⠽⠞⠿⠳⠯⠿⠽⠯⠷⠯⠽⠞⠯⠾⠽⠮⠷⠟⠾⠼⠯⠽⠟⠶⠟⠾⠭⠿⠾ ⠀⡖⠉⠑⣶⠂⣦⠀⡆⣀⣀⡀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣒⡀⢀⣠⣠⠀⠀⠀⠀ ⠦⠧⠖⠿⠃⠀⠷⠴⠇⠿⠸⠇⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠬⠓⠒⠉⠋⠃⠿⠛⠛⠋

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣴⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣿⣿⠟⠛⠉⠉⠀⠀⣀⡀⠈⠉⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⠟⠁⠀⢀⣠⠴⢾⣶⣾⠛⣼⣷⣄⠀⣀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠟⠁⠀⢀⠴⢩⣿⣦⣾⣿⣯⣾⣿⣿⣟⣤⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠀⠀⣶⣶⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃ ⠀⠀⠀⠀⠀⣠⣾⣿⠟⠁⢠⣀⣠⣫⣭⣿⣿⣿⣿⡟⢿⣿⣽⡿⣏⣿⣿⠙⢿⡇ ⠀⠀⣀⣴⣾⣿⠟⠁⠀⠀⠘⢻⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣉⠉⢟⡃⠀⠀⢸⡉ ⣶⢿⡿⠟⠛⠁⢼⣶⣦⣴⣶⣿⣿⣿⣿⡿⠃⠀⣶⣿⣿⡟⠉⣖⠚⢷⠺⠋⠒⠃ ⠀⠀⠀⠀⠀⣦⣤⣩⣿⣿⣿⣿⣿⠧⣉⣉⣲⣾⣿⣿⣶⣉⣉⠕⠉⢻⠴⠆⠀⠀ ⠀⠀⠀⣀⠀⣙⣻⣿⣿⣿⡿⢺⢫⣀⣬⣤⡽⣿⠛⣻⣿⣴⣶⡄⣠⢼⠀⠀⠀⠀ ⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⡚⢿⢋⠉⡉⡀⠤⠛⠣⠶⣔⠍⢁⢮⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⢉⢁⣶⢟⣿⢞⠓⣕⠣⠆⠀⠀⣀⣄⠪⢐⡕⠟⠿⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠢⢁⣀⣵⢿⣷⣦⣟⠒⠲⠬⠥⠛⠚⠃⠀⢀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠁⡼⢡⡏⠙⢯⣶⣤⣤⣀⣀⣠⣤⡏⠶⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⡟⠀⢰⡟⠙⡞⢷⠙⠙⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣄⡀⡀⠄⠂⠂⠂⠂⠂⡖⠂⠂⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠞⢆⡀⢤⣶⣦⣄⣦⣤⣧⣥⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢽⣽⡛⣕⣿⢝⣿⡿⣏⣽⣿⡓⢷⣄⡀⣀⡀⡴⠃⠀⠀⠀ ⠀⣀⡟⣉⠖⠉⠠⣛⢫⣭⡿⡆⡵⣥⢅⠀⠉⣟⣧⡦⣀⡀⠀⠀⠀ ⡊⡂⠎⠀⠀⠀⣬⡟⣦⣣⠆⡢⡃⢞⣾⠄⠀⠈⣛⡙⠖⠿⠿⠏⠁ ⠀⠌⠀⠀⠀⠀⠉⠉⠉⠓⠷⠟⠟⠗⠋⡀⡤⠚⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡐⢀⠤⣄⢄⠤⠤⠤⠤⠤⢶⠌⠼⡤⠤⡀⢄⠆⠀⠀⠀⠀ ⠀⠀⢰⠅⠁⠀⢀⢀⣠⡩⣧⡧⡀⣄⡠⣀⡈⣀⣑⠏⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ Search R4venxoxo for more! I create all my drawings !!☆

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⡄⠄⠄⡣⡈⠠⠘⡠⠀⡄⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠄⢈⠀⠀⡀⡂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢅⢓⡀⠀⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⡤⠆⠃⠃⠁⠉⠈⠁⠁⠁⠉⠈⠁⡁⣁⣒⣠⡠⣀⢀⡀⠀⠀⠀⠀⠐⠋⠀⠀⠘⡀⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠄⠉⠈⠀⠀⠀⠀⠀⠀⣀⡀⡄⠄⡞⠻⡉⠀⠀⠀⠀⠀⠈⠁⠂⠅⣑⠐⠠⢀⡀⠀⠀⠀⠈⠼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⡀⡀⡀⠔⠂⠉⠁⠀⠀⠀⡇⠀⠈⠁⠢⡀⡀⠀⠀⠀⠀⠀⠀⠁⠑⠢⠄⢅⣂⣂⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠁⠁⠁⠀⠀⠀⠀⠀⠀⢀⣀⡠⠄⠧⠤⠒⠢⠒⢒⣂⣓⡒⠒⠔⠦⠆⣂⠒⠂⠂⠒⠂⠊⠁⡕⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⡤⠤⠤⠤⠤⠤⡖⠶⠒⢉⡡⡤⢖⠂⠅⠍⠩⠩⠍⠅⡄⣀⠈⠁⠉⠁⠓⠤⡁⣑⡠⣀⠤⠂⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠓⠄⠤⡤⠎⠁⡠⡯⢃⡡⠒⠉⠉⠉⠑⠀⠀⢀⣀⠤⡖⡃⡀⣀⡀⠀⠀⠈⠑⣄⡀⠁⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠋⠀⡠⠋⠀⡂⠁⠀⠀⠀⠀⠀⠀⡔⠁⠁⡀⠅⠊⠉⠑⠀⠀⠉⠉⢦⡀⠀⠉⠦⣀⠀⠑⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡔⠁⢀⠊⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⣇⡀⠀⠣⠤⠄⠄⠄⠤⠄⠄⠤⠞⠁⠀⠀⠀⠈⠲⣄⠉⠷⣆⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢂⢀⠔⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠃⠒⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⣄⡫⡋⠷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡤⠄⡈⢆⠀⠀⠀⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠃⠀⠀⠀⠀⠀⠀⠀⣀⣤⠞⣀⡀⠀⠀⠀⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡷⡀⠀⠀⠑⢄⡀⠀⠈⠑⠢⠄⠤⠤⠄⠤⠖⠒⠁⠀⠀⠀⠀⠀⡀⣤⡲⣟⡫⠝⠋⠁⠀⠀⠀⠀⠀⠀⡀⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠓⠢⣀⡀⠀⠁⠃⠢⢄⡀⣀⡀⣀⢀⣀⡀⣀⣀⣠⣔⡡⠭⠛⠂⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠈⠈⠉⠉⠉⠁⠁⠉⠉⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

👁️👄👁️eye, mouth, eye

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡠⡠⠜⡲⣜⢛⢙⠵⡐⠴⠡⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡰⡾⢯⢉⠢⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⡿⠊⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡔⠀⠀⠀⠀⠀⠀⢀⡤⢒⡾⠍⢱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢠⣷⠏⠎⠀⢸⣝⡿⡲⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⡽⡟⠉⠝⠁⢹⣿⢿⣿⢿⠙⢢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⢴⡋⠀⠀⢰⠱⢀⣀⠀⠀⢹⣯⣽⣏⡚⠀⠀⢱⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠀⠀⠈⠢⣐⠺⡤⠊⠈⠀⠀⣿⣏⣷⠏⣀⣤⡠⠷⠜⠛⢄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠪⠧⠴⠮⠤⠼⠛⠓⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⡆⠀⠀⢸⠀⠀⡇⠀⠀⠀⠀⠈⠳⢤⡀⠀⠀⡖⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠤⠄⠄⡀⢀⠀⡀⠀⠀⠀⠀ ⠀⠀⢠⠀⠀⠀⡔⡅⠀⠏⠀⠀⣜⠀⠀⠈⠇⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⡇⠀⡏⢆⠀⠀⠀⠀⠀⠰⠉⠀⠀⢇⠀⠀⠀⠀⠀⠁⠁⠁⠉ ⠀⠀⠀⡇⢠⠎⢠⠇⠀⠀⡤⠃⠈⢇⠀⠈⡒⠒⠄⢄⠀⠀⠀⠈⠀⠀⠡⡏⠀⠀⠑⡄⠀⠀⡸⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠋⢀⡎⣀⣤⡯⠤⠤⠤⢼⠤⠴⠤⠄⠀⠀⠉⠢⠀⠀⠀⠀⡃⢧⠀⠀⠀⡇⠀⠀⠆⠉⠆⢄⣀⡘⡂⡀⠀⠀⠀⠀⠀⡄⠀⠀ ⠀⠀⣸⠕⡪⠋⠁⡤⠋⠀⠀⠀⠀⠀⠹⠤⣌⡆⠀⠀⠀⠀⠀⠑⡀⠀⠀⡅⠘⡆⠀⠀⡇⠀⠇⠀⠑⠢⠤⡀⡀⠱⠄⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⡏⠴⠓⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡁⠀⠀⠀⠀⠀⠀⢱⠀⠀⡇⠀⠓⠀⡼⠀⠇⠀⠀⠀⠀⠀⠀⠀⠈⠑⣇⠀⠀⠀⠀⢸ ⠀⢸⠁⠀⠀⢀⡴⠒⠋⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⣀⠀⠀⠀⠀⢸⠀⠨⠣⡀⠀⠀⠱⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠸⡀ ⢄⡏⠀⠀⠀⠋⠀⠀⣠⡾⣿⠟⠻⠿⠿⡿⠦⣴⠻⢧⠀⠀⠀⠀⢸⣠⠇⠀⢣⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⣄⡀⠸⡄ ⠈⢇⠀⠀⠠⣄⣴⣿⠅⠀⢳⠀⢸⣿⠇⠀⡇⠀⠀⡇⠀⠀⠀⠠⠟⠁⠀⠀⠀⠈⠣⡄⠀⠀⠀⠀⠣⡀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠑⢦⣵ ⠀⠘⣇⠀⠀⠀⠙⢧⣀⠀⠈⠦⢤⣤⣞⡥⠵⢖⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠑⣄⠀⠀⣇ ⡄⠀⠹⡕⢄⠀⠀⠀⠈⢹⠉⠉⠁⠘⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠉⠦⡄⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠀⣯ ⠑⡀⠀⢳⡀⠈⠄⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠧⠤⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠈⠣⣄⠀⠀⠀⢰⢻ ⢠⠧⡀⠀⡷⡀⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠈⠧⠀⡴⠓ ⠏⠀⢩⣾⠁⠀⠓⣄⠀⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢦⣠⠋⢆⢸ ⠀⠀⠀⡇⠣⡀⢀⠀⠹⡀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⢃⠸ ⠀⠀⡤⠃⠀⠡⠌⠣⡀⠱⡀⠀⠀⣟⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠯⠀⠀⠀⠀⠡ ⠀⡴⠁⠀⠀⠀⡏⠦⡈⠆⠙⣄⠀⡇⠀⠘⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇⠀⠀⠀⠀⠀⠀ ⡎⠀⡠⠇⠀⣼⠄⠀⢩⠣⡄⠀⠙⠥⣄⠀⠀⠀⠑⠦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠇⡎⠀⠀⢸⡏⠀⠀⠀⠱⠈⠑⢄⡀⠀⠈⠢⢄⠀⠀⠀⠈⡶⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡼⠁⠀⠀⡏⡇⠀⠀⠀⠀⡅⠀⠇⠉⠦⢄⡀⠀⠈⢦⡀⢀⠏⠀⠀⢈⡱⠤⣄⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢇⠀⡠⠇⡰⠁⠀⠀⠀⠀⡃⠀⠑⡄⠀⠀⠈⠉⠓⠦⣽⡎⠀⠀⣰⠁⠀⠀⠀⠈⠑⠤⣤⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠉⠀⡔⠁⠀⠀⢠⠀⠀⠆⠀⠀⡃⠀⠀⠀⠀⠀⠀⣰⠉⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡤⠒⠁⡠⠤⠊⠁⠀⢐⠁⠀⡘⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠉⠉⠀⠀⠀⠀⠀⠀⡎⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢠⠏⠘⡄⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣨⡤⠃⠀⠀⠀⠀⠀⠀⢀⡤⠔⠋⠠⠖⠋⠀⠀⠀⠈⢧⡀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⡆⠀⠀⢸⠀⠀⡇⠀⠀⠀⠀⠈⠳⢤⡀⠀⠀⡖⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠤⠄⠄⡀⢀⠀⡀⠀⠀⠀⠀ ⠀⠀⢠⠀⠀⠀⡔⡅⠀⠏⠀⠀⣜⠀⠀⠈⠇⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⡇⠀⡏⢆⠀⠀⠀⠀⠀⠰⠉⠀⠀⢇⠀⠀⠀⠀⠀⠁⠁⠁⠉ ⠀⠀⠀⡇⢠⠎⢠⠇⠀⠀⡤⠃⠈⢇⠀⠈⡒⠒⠄⢄⠀⠀⠀⠈⠀⠀⠡⡏⠀⠀⠑⡄⠀⠀⡸⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠋⢀⡎⣀⣤⡯⠤⠤⠤⢼⠤⠴⠤⠄⠀⠀⠉⠢⠀⠀⠀⠀⡃⢧⠀⠀⠀⡇⠀⠀⠆⠉⠆⢄⣀⡘⡂⡀⠀⠀⠀⠀⠀⡄⠀⠀ ⠀⠀⣸⠕⡪⠋⠁⡤⠋⠀⠀⠀⠀⠀⠹⠤⣌⡆⠀⠀⠀⠀⠀⠑⡀⠀⠀⡅⠘⡆⠀⠀⡇⠀⠇⠀⠑⠢⠤⡀⡀⠱⠄⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⡏⠴⠓⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡁⠀⠀⠀⠀⠀⠀⢱⠀⠀⡇⠀⠓⠀⡼⠀⠇⠀⠀⠀⠀⠀⠀⠀⠈⠑⣇⠀⠀⠀⠀⢸ ⠀⢸⠁⠀⠀⢀⡴⠒⠋⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⣀⠀⠀⠀⠀⢸⠀⠨⠣⡀⠀⠀⠱⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠸⡀ ⢄⡏⠀⠀⠀⠋⠀⠀⣠⡾⣿⠟⠻⠿⠿⡿⠦⣴⠻⢧⠀⠀⠀⠀⢸⣠⠇⠀⢣⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⣄⡀⠸⡄ ⠈⢇⠀⠀⠠⣄⣴⣿⠅⠀⢳⠀⢸⣿⠇⠀⡇⠀⠀⡇⠀⠀⠀⠠⠟⠁⠀⠀⠀⠈⠣⡄⠀⠀⠀⠀⠣⡀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠑⢦⣵ ⠀⠘⣇⠀⠀⠀⠙⢧⣀⠀⠈⠦⢤⣤⣞⡥⠵⢖⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠑⣄⠀⠀⣇ ⡄⠀⠹⡕⢄⠀⠀⠀⠈⢹⠉⠉⠁⠘⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠉⠦⡄⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠀⣯ ⠑⡀⠀⢳⡀⠈⠄⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠧⠤⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠈⠣⣄⠀⠀⠀⢰⠃ ⢠⠧⡀⠀⡷⡀⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠈⠧⠀⡴⠁ ⠏⠀⢩⣾⠁⠀⠓⣄⠀⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢦⣠⠋⢆⢀ ⠀⠀⠀⡇⠣⡀⢀⠀⠹⡀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⢃⠀ ⠀⠀⡤⠃⠀⠡⠌⠣⡀⠱⡀⠀⠀⣟⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠯⠀⠀⠀⠀⢥ ⠀⡴⠁⠀⠀⠀⡏⠦⡈⠆⠙⣄⠀⡇⠀⠘⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇⠀⠀⠀⠀⠀⠀ ⡎⠀⡠⠇⠀⣼⠄⠀⢩⠣⡄⠀⠙⠥⣄⠀⠀⠀⠑⠦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠇⡎⠀⠀⢸⡏⠀⠀⠀⠱⠈⠑⢄⡀⠀⠈⠢⢄⠀⠀⠀⠈⡶⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡼⠁⠀⠀⡏⡇⠀⠀⠀⠀⡅⠀⠇⠉⠦⢄⡀⠀⠈⢦⡀⢀⠏⠀⠀⢈⡱⠤⣄⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢇⠀⡠⠇⡰⠁⠀⠀⠀⠀⡃⠀⠑⡄⠀⠀⡏⠉⠓⠦⣽⡎⠀⠀⣰⠁⠀⠀⠀⠈⠑⠤⣤⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠉⠀⡔⠁⠀⠀⢠⠀⠀⠆⠀⠀⡃⠀⠀⠇⠀⠀⠀⣰⠉⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡤⠒⠁⡠⠤⠊⠁⠀⢐⠁⠀⡘⠀⠀⡅⠀⠀⠀⢸⠁⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠉⠉⡆⠀⠀⠀⠀⠀⡎⠀⣴⡅⠀⢠⠃⠀⠀⠀⠀⡇⠀⠀⠀⢠⠏⠘⡄⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢣⠀⠀⠀⠀⣨⡤⠃⡐⠁⠀⠁⠀⠀⢀⡤⠔⠋⠠⠖⠋⠀⠀⠀⠈⢧⡀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⢰⣀⣀⢏⠀⠸⠀⠀⢸⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡶⣏⡭⠾⠟⠛⣉⠭⡭⣿⡿⢿⣿⣶⢦⢤⡐⠮⢅⣀⣀⡤⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣞⠗⣩⠀⠀⠀⠴⠘⠨⣂⣿⠅⢅⢁⠉⠐⠌⡙⢗⡄⠈⠛⠷⣦⡉⠒⢤⣀⠀⠀⣠⠎⠀⠀ ⠀⠀⠀⠀⠀⠀⠒⠦⢄⣼⡫⠕⠉⠀⠀⢠⠎⡡⢮⠯⠋⠠⠈⡜⠓⡇⡂⠄⠈⡁⠏⡕⢄⠀⠀⠀⠉⠙⠣⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢶⠏⠀⠀⠀⠀⠀⠀⡏⠐⠬⠢⠳⠸⠉⠃⠯⢨⠝⠐⠠⠉⠰⠀⠰⠇⠡⠀⠀⠀⠀⠀⠳⢄⣉⣧⠔⠁ ⠀⠀⠀⠀⠄⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⡃⠡⡍⠄⣽⣃⠐⣈⡟⠅⠇⢈⠑⠁⠂⠡⣺⠁⠅⠀⠀⠀⠀⠀⠀⠀⣬⠃⠀⠀ ⠀⠀⠀⠌⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⡧⡛⢄⡓⣄⠙⠨⠀⡁⡌⠥⠁⢀⠍⡠⠏⠀⠀⠀⠀⠀⠀⠀⠠⣱⠃⠀⠀⠀ ⠀⠀⡌⠛⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠞⠶⣧⣇⣷⠬⠥⡶⡅⠞⠁⠀⠀⠀⠀⠀⠀⠀⡠⠂⡴⠁⠀⠀⠌⠀ ⠀⠀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⡠⠔⠁⡔⠃⠀⠀⠀⠠⠁⠀ ⢀⡞⠉⣀⣀⣁⡁⣠⣠⡠⠤⣤⢄⣀⡀⣀⡀⣀⣀⣀⣀⣀⣀⣀⡀⡠⠄⠴⠋⠓⠊⠉⠀⠀⠀⠀⠠⠂⠀⠀⠀⠀⠀⠀⠀ ⠉⠉⠉⠉⠉⠉⠁⠀⠀⠄⠄⠄⡀⡀⠤⠄⠀⠀⢀⡀⠁⠉⠁⠁⠉⠀⠀⠀⠀⠀⡀⡀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠈⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⣀⣀⣀⣠⣤⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠿⠂⠀⢀⡀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣿⣿⠶⢶⣾⣿⣷⣿⣿⣿⣿⣿⡀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣀⣤⣿⣷⣾⣿⣿⣿⣿⠿⠿⠿⠟⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠻⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣇⠀⠀⠞⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⠀⠘⣾⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣁⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣠⣤⣴⣾⣿⣿⣿⠟⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠻⠿⣿⣿⣿⣿⣟⠀⠀⢰⡆⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠘⣿⣿⠰⢺⣿⣿⢻⢶⣿⣇⣿⣿⣿⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣵⠁⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠁⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠙⢿⡏⠀⣼⡗⠃⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⡇⢒⣾⣾⣿⣾⣿⣏⣿⣿⣿⣿⡄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⣭⣿⡙⢻⣿⢿⣿⣏⡂⢢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⣠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⢻⡇⠀⣿⢿⡄⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣷⣾⣟⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠁⠀⠛⠋⠁⡀⣶⡿⣿⡕⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⡀⠀⠀⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⢠⣧⣿⣷⡀⠀⠀⢹⣿⣿⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢳⣿⣿⣿⣿⣿⣟⣿⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢠⡄⠀⣸⣿⣿⣿⣽⣶⡀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠉⠀⢠⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢳⠍⣷⢸⡿⢿⣿⣷⠀⠀⠈⣿⣿⡇⠀⠀⠀⠀⠀⢹⣿⣿⠡⣿⢿⣟⠋⣿⣿⣯⣿⣿⣿⠀⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢸⡍⢸⡷⣴⢯⣾⣽⣟⣿⣿⠿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣿⣼⣧⠈⣹⣿⣇⠀⠀⢹⣿⣧⠀⠀⠀⠀⠀⠸⣿⠙⡶⣿⣻⣻⡄⣿⣿⡷⠞⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣾⡀⡩⡄⣄⣿⣙⣿⣿⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⣰⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣴⣶⣶⢶⣆⠈⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡏⣿⣇⣹⣿⣿⡀⢀⡀⢿⣿⡀⠀⠀⠀⠀⠀⣿⣆⢈⣹⣿⣷⣦⣿⣿⣷⡂⣿⣿⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣾⣿⣿⣇⡿⠌⣽⠛⢻⡿⣳⡾⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣀⣤⣴⣶⣾⣿⢯⡽⡁⢀⣙⣶⣿⣬⣍⣬⣿⣿⣿⣿⣿⣷⣤⣤⣀⣀⣀⠀⠀⠘⠳⢶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣇⠈⣷⡜⣿⣧⠶⣀⡀⠀⠀⣿⣿⡞⠛⢹⢿⣯⣿⣷⣾⣧⣿⣿⠀⢰ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢨⣿⣿⣿⠁⠀⢀⣿⢯⢘⣿⢛⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣠⣴⣶⣿⣿⣿⣯⣩⣿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⡉⠻⢶⣤⣀⠀⠀⠀⠀⠀⢶⣄⠀⢹⣿⣿⣿⣿⣿⣿⣄⠸⣧⠹⣿⡆⠟⢳⡄⢸⣿⣿⣿⡀⠈⣿⢱⣿⣿⣿⣿⣿⣿⢤⣈ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣹⣿⢳⣿⣿⣿⡄⠀⣾⣷⣌⢹⣟⣺⡇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣬⡙⢷⣦⣀⠀⠀⠀⠉⠳⣾⣿⣿⣿⣿⣿⣿⣿⡄⢻⣬⣿⣷⠀⠒⠈⠈⣿⣿⣿⣿⣬⣭⢠⣿⣿⣿⣿⣿⣿⡌⢉ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡀⢹⣿⢸⣿⣿⣷⣄⠠⢻⣿⣏⠈⢿⡿⠷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣷⣆⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣌⢿⡍⣿⣷⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡼ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣟⣿⡟⠉⡻⢀⣏⡿⣶⣼⣿⣧⣶⢸⣿⣿⣿⣿⣿⣿⣿⣿⢯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠉⣀⠙⣷⡀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡖⢲⡶⣦⢤⣠⣠⡠⠤⠤⠤⠤⢄⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣩⣿⣽⣽⣿⣍⣩⢿⡿⣛⢛⣒⣒⣦⢎⣿⣓⣷⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠥⠂⠚⠉⠉⠉⠉⠉⠉⠉⠈⠉⠁⠉⠙⠛⠛⠲⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⢟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠿⠁⠀⠀⠀⠀⣀⣀⢀⣄⣴⣢⣴⣾⣿⢿⢿⣿⣷⣶⣤⣄⡀⠀⠀⢀⡤⠄⣤⣄⢤⣴⣦⡖⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠀⠀⠀⠀⠀⢀⣤⣴⣿⣿⡿⣟⣟⠿⠿⠿⠿⠿⠭⠛⠛⠻⢿⣿⣽⣿⡻⢿⣿⡿⣛⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⠁⠀⠀⠀⣤⣾⡿⣿⣻⠋⠉⢉⣉⠤⣶⣿⡿⣍⣛⠿⣝⢒⠲⢄⡈⠙⢷⣯⣳⣦⣶⠮⠭⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣿⠀⠀⠀⣠⢞⡿⢿⣟⣿⣽⣾⣿⠃⣿⣿⣿⣿⣷⣎⣁⣈⣿⠓⠶⣤⡙⢢⡀⠈⠻⢿⣻⢷⣄⡂⠒⠊⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣀⣿⣻⣟⠟⠉⠀⢸⣷⠙⠛⣿⡟⠉⠉⣹⡟⠀⠀⠈⠁⠀⠙⠆⠀⠀⢨⣿⡿⠉⢉⣒⡶⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⢸⣹⣿⡯⣇⠀⠀⠀⠀⠹⣶⣀⣀⣠⣄⡤⣿⠀⠀⠀⠀⣠⠴⠚⠁⠀⢈⡻⣻⡖⠿⠚⠛⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡏⣇⠀⠀⠀⠀⠀⠈⠉⠛⢉⣉⣉⡓⠲⢤⣈⣙⣛⣛⡿⠯⠗⠒⠋⢁⣠⠖⠀⠀⠚⢉⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⢀⠀⠹⡌⢳⡀⠀⠀⠀⠀⣴⣶⣿⣿⣿⣷⣶⣠⠤⠠⠤⠴⠶⡖⣊⣍⣙⣋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣴⣦⣦⠶⡶⠦ ⣸⣿⠿⠿⢭⡣⡈⣧⡀⠀⠀⠀⠀⠉⠙⠛⠳⢯⢙⣙⡲⢢⣤⣀⣀⣀⣀⣀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⣯⢯⣫⢯⡍⠉ ⣏⣏⣀⠀⠀⣿⣘⣆⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠒⠚⢿⣾⢓⠾⠽⠿⠿⠿⠓⠒⠂⠀⠀⠀⠀⠀⠀⣈⡷⣻⢿⠹⠯⠭⢥⠡ ⣟⣟⣿⣭⣿⠟⣡⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⢿⣟⣾⣛⣿ ⠀⠉⣿⠉⠉⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⢖⡛⣛⢟⣛⡙⣛ ⠴⢲⣧⠟⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣙⡃⡛⡛⡚⡙⢫⣫⡫⡻⡫⡫⣍ ⡀⠀⣀⣀⣀⡈⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣓⡛⡚⠺⠺⣿⣗⣖⣲⣶⠶⠿ ⠉⠉⠉⠉⠹⡄⠀⠀⠙⢿⣦⣄⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠙⠛⠛⠛⠛⠓⠛ ⣀⣀⣠⠴⠚⠉⠁⠈⢩⣟⡿⠟⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣦⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⣀⣀⣀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⣟⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⡱⣟⡈⢄⢀⠀⡀⡀⡀⣀⡀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡄⣢⠂⡩⢅⡇⢗⢇⣷⠣⣟⢷⡟⡿⢛⠍⡠⠏⠮⣸⡄⢫⣩⡅⡍⣈⡒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⣦⣋⡷⠵⡀⣧⠇⡙⡉⠋⡥⠘⠪⢝⣿⡺⣗⠢⠓⠘⠛⡋⡓⣃⡐⣋⡓⣋⡫⣟⣔⣤⢍⠢⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡤⣋⡖⡎⠿⡛⠫⡛⢁⡁⠤⠉⣉⠡⠄⠂⠓⠖⣻⢁⠏⠁⠁⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠒⠢⣵⡄⠀⠀⠀ ⠀⠀⠀⠀⢤⡟⠃⣟⠋⠃⡤⡅⠛⢃⠅⠔⠈⠁⠀⠀⠀⠀⠀⡅⡾⣁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀ ⠀⠀⠀⠀⠘⡷⡈⠁⣀⡓⠅⡄⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⡻⣃⣀⣤⣔⡴⡴⣦⡦⡦⠤⠤⢤⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠓⠦⠦⠭⠂⠉⠀⠀⠀⠀⠀⣀⡠⢄⢂⣦⠫⡷⢛⠨⠃⠉⠈⢀⠄⠀⡂⠀⢀⠂⡖⠈⠅⢀⠃⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⡫⠱⠊⠊⠇⠀⠄⠂⢊⢀⡀⡁⡐⣀⣀⣂⣀⢘⢂⣐⡀⡸⡀⢆⢀⠇⠀⡅⡂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡖⠛⡋⠁⠀⣀⡠⣖⣧⠯⡓⢻⢫⢟⠍⠏⠏⠋⠋⠋⡏⣯⠋⠙⠋⠓⠯⣿⣖⡖⠁⣈⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢐⡗⡛⠁⡐⢁⡠⣶⠏⠏⢣⡟⡇⠁⠀⠀⢼⣿⣂⠄⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⢀⢠⢏⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠆⠁⠁⣀⠇⣾⠧⠋⠀⠀⠀⠸⣯⠣⡀⢀⣤⡿⠻⣿⡗⠀⠀⠀⢐⣣⡃⠀⠀⢀⡐⣢⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢉⣧⢏⠕⠁⠀⠀⠀⠀⠀⢏⠳⣗⣄⠀⠀⠀⠀⠀⠀⠀⣠⡷⡣⣃⣤⣲⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⣶⣄⡀⠀⠀⠀⠀⠀⠀⠣⣌⡛⠗⣇⣒⡒⣒⣖⣽⣞⣷⡧⠋⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠀⠙⠟⡛⠛⠿⠯⠶⠶⡶⣦⡧⣧⣧⣯⣿⣝⡿⣿⣋⠋⢳⠻⡇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠢⠄⣀⡉⠂⠤⡀⡀⠀⠀⠀⠀⠀⠀⡇⣝⠟⣧⣟⣿⡯⡏⠹⡇⠽⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⠢⠄⠥⡉⣒⡒⣦⢤⣀⡃⣽⡚⠢⡚⢉⠇⡃⢰⡗⣹⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⡟⡁⠀⡇⠛⡂⡇⢘⠁⣹⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣟⠀⢀⠇⢸⠀⡇⢸⡀⢪⡗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣕⠀⢸⢀⡅⠀⡇⠸⡇⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡜⠼⢂⠀⡇⠀⡗⢸⣧⣣⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢠⣟⠟⢸⠀⠀⡧⢸⡇⠞⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⢯⡯⠋⠀⠀⠌⠿⣇⢲⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢁⣟⡂⠀⠀⠀⠛⢘⢍⣏⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⣷⡀⠀⠀⠀⠀⡄⠀⠀⠀⠀⡤⣺⠀⠀⠀⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⠠⡀⠒⣢⣾⣿⡿⣿⣯⣿⣛⣿⣷⣶⡶⡆⣿⣇⡓⠀⠀⡀⠀⠀⠀⣀⣄⠆ ⠀⢆⣀⡀⣱⣿⣯⣯⣿⣗⣿⣿⣿⣿⡻⣿⣿⣻⣿⣏⡟⢺⡖⣦⢔⡀⣆⣼⣳⡋⠁ ⠀⢨⣿⡿⡷⠚⠃⠁⠁⡿⣿⣲⣿⣿⡟⣏⢿⣷⣷⣟⣿⣿⡿⣿⡿⡿⢿⡿⣿⠁⠀ ⠼⠫⠟⠁⠀⠀⠀⠀⠀⣟⢛⣿⣟⣿⡛⡹⣟⡏⡭⣾⣷⡟⢻⢹⠚⣷⣿⣿⡃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣞⠁⠀⠀⣿⣿⣷⣾⠋⠀⠳⡌⣏⠎⠀⠈⢧⣛⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢏⣧⡀⠀⠉⠛⠏⠁⠀⠀⣠⠾⠃⠀⠀⠀⠀⠓⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠒⠒⠒⠒⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣴⣴⣷⢛⡟⡿⣿⡿⠿⠿⡻⣿⣶⣶⣦⣲⡲⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⡯⡃⠃⠁⠈⠉⠹⡝⠉⠀⠉⠉⠫⢷⡢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠦⡀⠀⠀⠰⡄⠀⠀⡀⠀⠀⠀⠀⠀⢀⡀⡠⠤⠤⢀⠀⢀⠀⠀⡤⢔⣂⠈⠁ ⠀⠀⢠⠀⠀⠀⢇⠀⠀⠀⡁⠀⠀⠀⢈⠀⠀⠀⡃⠀⢀⡾⠐⠁⠁⡏⡉⡂⠁⠈⠊⠀⠁⠀⣈⡀⠀⠊⡈⠀⠀⠀ ⠀⠀⠀⠧⡀⠀⠀⠉⣦⣄⡮⣤⠤⠅⠍⠝⠳⡚⠒⠓⠚⠫⣔⣴⡚⠁⠄⠌⠀⠈⠀⠀⠀⠀⠀⠀⠀⠡⠀⠀⠀⠀ ⠀⠀⠀⣀⡤⠏⠉⠀⠀⢀⠏⠀⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠙⡆⢨⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀⡅⠀⠀⠀⠀ ⢠⡟⠋⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠿⠃⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠈⣯⢠⠤⠔⠒⠋⣡⠄⠀⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠣⣄⢙⡠⣔⣀⣀⡀⠙⢦⡀⠀⠀⠀⠀⣀⠇⠀⣀⡀⡀⣤⣤⠞⠛⣂⡀⠤⡴⡁⡲⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⠀⠀⠉⠙⠡⣍⡉⠉⠉⠉⢍⠃⠚⠊⠛⡉⠉⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠤⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⢀⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢄⣉⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠂⠀⠚⠀⠀⠀⠀⠀⠀⠀⢀⢀⡚⣏⣦⣶⡖⡄⡠⡀⡄⡀⡀⠀⠀⠀⠂⠈⡑⠠⡀⠄⠀⠀⠀⠀⠀ ⠀⠀⡁⠀⠁⠀⠀⠀⠀⠀⠀⠀⣤⣴⡟⣍⠓⡓⠧⣱⡙⣋⡥⣅⠾⣎⢶⠄⡀⡀⣀⠀⠀⠈⠃⠂⠀⠀⠀⠀ ⢀⠅⠈⠀⠀⠀⠀⠀⠀⠀⢄⡗⣉⣋⡀⡀⠀⡀⣠⣖⣯⡓⡟⡟⡏⡣⠫⡥⢦⣆⡤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⡎⠁⠀⠀⠀⠀⠀⢀⣨⡭⡟⡇⣋⠱⢃⢓⣟⣷⢯⣉⡣⡗⡋⡇⠀⠀⠀⢁⡀⡭⣷⡩⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣠⡻⠛⣇⡭⣧⡪⡝⢀⡷⡟⣏⣮⡣⣻⢃⡟⠁⠀⠀⠀⠀⠁⡂⢘⠰⢌⣁⡀⠀⠐⢀⣦⠀ ⠀⠀⠀⢀⣦⣿⡫⠁⠀⠁⠝⠧⣟⣫⣁⣖⣇⡎⣋⢝⡴⠃⠀⠀⠀⠀⣠⡪⠕⢂⡌⠠⠐⡡⠃⠀⠀⠀⢑⠅ ⠀⠀⡠⢾⠏⠈⠀⠀⠀⠀⠈⠄⣿⠫⢿⣿⡟⡧⣵⠟⠂⠀⠀⠀⡂⡴⠉⠖⠜⠅⠄⠄⠂⠁⠀⠀⠀⡀⢔⠅ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⢀⡤⡎⠁⠁⠘⠵⠤⠦⠆⠀⠀⠀⠀⠀⢄⠂⠄⠁⠀ ⠀⠀⠀⠀⠀⠣⢂⠠⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠈⠀⠀⠀⠄⠁⠀⠀⠀⢁⠀⠀⠀⠐⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠁⠈⠁⠖⡄⣆⡁⠄⠅⡡⠫⠵⠀⠀⠀⠥⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⠄⡀⠀⠀⠀⠃⠁⠀⠀⠁⠀⠀⠀⠀⠄⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠓⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡄⢀⣀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⢀⢢⡧⡉⢶⠂⠈⠋⠀⠈⠉⠉⠁⠚⠂⠐⡂⠄⡁⠒⠂⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣌⠁⠀⠁⠀⠀⠀⡄⠃⠀⡈⠁⠀⠀⠀⠉⠀⡄⠀⠀⠀⠈⠄⠐⠄⠁⠀⡀⠄⠁⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢨⠁⠁⠀⠀⠐⠂⠀⠀⠀⠀⣀⠀⠄⠀⠀⠄⠈⠀⠀⠓⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠄⠀⠆⡆⠀⠀⠐ ⠀⠀⠀⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠅⠔⠀⠁⠠⠄⠉⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⢁⠀⠉⣂⠁⠉ ⣍⠙⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠈⠀⠐⠄⢀⡀⠀⠕⠂⠀⠀⠀⠁⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀ ⠀⠁⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠄⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠐⠀⢀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠂⠀⠀⠂⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⢦⣄⢠⡾⠋⠀⠀⠀⠻⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⣹⣿⡅⠀⣀⣀⣀⣀⣿⣀⠀⠀⠀⠀⠀⠀⠀⢲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⠶⢾⣿⣷⣿⣾⣿⣿⣿⣭⣭⣿⣯⡿⠿⢷⣶⣶⣶⣶⣶⣾⣧⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣤⠿⠿⣿⣿⣤⣼⡿⠿⠛⣻⣧⣤⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣼⣿⣿⣿⠧⣤⣿⣿⣿⣤⣀⠀⠀⠀⠀⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⠷⠟⠛⣩⣵⣟⣽⣶⣾⣿⣿⣿⢿⣟⣿⣭⣵⣾⣿⣿⣯⣿⣿⣿⣿⣟⣿⣿⣿⣿⢿⣯⣟⣿⢿⣶⣶⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⣟⣿⣿⣿⡿⣿⣯⣽⠿⢟⣻⣭⣭⠴⠶⠶⠶⠶⠶⠶⠦⢤⣭⣙⣛⡛⠻⠿⣶⣭⣙⣻⠿⣿⣻⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡿⠟⣫⣿⣿⢟⣋⣿⡷⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠓⠶⠾⢿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⣀⣴⠾⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⠿⢿⣷⣾⠟⣋⣥⠿⠛⠉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣦⠰⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢻⣯⣿⣛⣿⣿⣶⡶⠞⠛⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣾⣿⡶⣾⣿⣯⠶⠛⠉⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⡀⢼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⣿⣿⠟⠁⠘⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡾⣫⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡴⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⠶⠶⠶⣦⣤⣤⣤⠶⠶⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣦⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢻⣿⣦⡀⠘⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣈⠛⢿⣷⣤⣝⡻⢿⣿⡶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢿⣔⠀⠀⠉⠻⢿⣟⡾⣽⣓⡾⢭⣿⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⠀⠀⠙⠷⣤⡀⠀⠀⠈⠙⠳⣮⣙⠓⣶⣿⣿⣛⠻⠿⢷⣦⣤⣀⣀⡀⠀⠀⠀⡀⠀⠀⠀⢀⣠⣤⣀⣤⣶⣾⡿⢿⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣦⡄⠀⠀⠈⠙⣷⣤⡄⠀⠀⢰⣿⣿⣿⣷⣶⣯⣽⣿⣶⣶⣽⣿⣯⣽⣿⣿⣶⣿⣶⣾⡟⠛⢫⣭⣿⡞⠋⠁⠀⠈⢻⣷⠀⠀⠀⠀⠀⠀⢠⣴⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠛⠶⣤⣄⣀⠀⠉⠙⠛⠶⢦⣤⣀⣀⠉⠛⢷⣭⣍⣉⡛⠛⠛⠛⠛⠛⠻⠿⣿⣶⠾⣿⣿⣋⡉⠀⠀⠀⠀⠀⠀⠈⣿⣇⣀⣤⣴⣶⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠛⠳⠶⠶⣤⣤⣤⣭⣭⣿⣿⡶⠾⣿⣭⣽⣿⣶⣤⣤⣀⣀⡀⣿⣼⡃⠀⠀⠉⠛⣳⣶⣤⣤⣴⣶⣿⣿⣿⠷⠿⠟⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⢉⣹⡿⠋⠛⠛⣿⣿⣿⣿⣿⠿⠶⠞⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠂⠐⠢⠒⠒⠐⠀⠐⠀⠀⠂⠀⠂⠐⠀⠂⠂⠂⠄⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠂⠂⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⣖⡐⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⢀⡄⠤⡔⠐⠀⠈⠀⠁⠁⠁⠉⠀⠀⠁⠂⠀⠀⠀⠀⠀⠀⡀⣴⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣂⠨⠄⠐⠑⠈⠤⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠁⡀⠄⠦⠤⠋⢸⠌⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠈⠀⠀⠁⢀⠀⠀⠘⠂⠄⠔⢀⠀⠠⣡⠔⡴⠀⠠⢜⡀⠀⢂⡇⠠⣉⢌⡪⢄⠀⡊⠞⡃⠀⡂⠄⠆⠀⡄ ⠀⠀⠀⠀⢀⠀⠁⠄⠈⠀⠀⢀⠀⠒⡀⠺⡃⡁⡜⠖⡼⡣⣭⡞⣥⠦⡥⣌⡴⡌⣙⡟⠛⡿⣈⠍⡥⣈⡅⣠⠠⡈⠌⠈⢥⢄⡂ ⠀⠀⠀⠠⠀⠂⠀⠀⠀⠈⠀⢎⢋⡃⢙⢬⣿⢿⣗⣲⣟⡿⡋⢾⠱⠜⣀⣻⠇⢄⠋⡳⡎⡙⠐⠏⠁⡆⠸⢄⢢⢲⢲⡠⡇⠲⡟ ⠀⢀⠂⠐⠀⠀⢀⠁⠨⠂⢃⡎⡁⣇⣛⠟⣫⡛⡐⠃⠬⡁⡵⢅⢼⡟⠏⠛⠍⢮⠞⠀⠄⠝⡀⡆⣉⠌⡆⠄⠪⠌⡨⢠⠀⠒⡀ ⠀⠀⠀⠂⠀⡀⢊⣦⣉⣕⢾⢋⢕⢝⢶⠑⠂⢎⡠⠊⠐⣚⡌⡊⠂⠀⠉⠘⢀⣙⡂⡐⠒⢍⠌⠰⠜⢢⣠⠢⠆⠒⡀⠁⡺⠾⠨ ⠀⠀⠀⢀⡌⡲⢽⠯⡏⡇⠚⠛⠨⠀⠱⠠⠁⡈⠂⠰⠞⠂⠄⠂⠀⠀⠀⠀⠀⠀⠝⢲⠚⠄⠀⠀⠀⠀⠀⠀⠀⠀⡀⣲⠄⠓⠉ ⠒⢲⠒⢥⣶⡖⠛⠉⡀⠂⠈⠀⠄⠄⡸⠐⠁⢃⠌⡂⡀⠁⠁⠀⠃⠀⠀⠀⠀⠀⢀⠡⠁⠅⠠⠄⠠⢠⠰⠠⣠⡤⠎⠄⠄⠤⢤ ⠉⠀⠐⠃⠀⠠⠀⢀⠀⣀⠑⠠⠊⠀⢄⠊⡈⢒⡀⣍⡍⠠⡄⠃⠀⠂⠈⠀⠅⠀⠀⠀⠀⠀⠀⠀⠂⠀⢀⣐⡞⠀⡀⡀⡀⢂⠄ ⠀⠀⠀⠀⠀⠀⠠⢒⡉⠁⠈⡐⠈⠀⡀⡼⢔⡦⠥⠶⠁⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢈⢠⣔⣥⢝⠛⠁⠠⠐⠀⠄⠠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠋⠱⠘⠉⠉⠀⠀⢀⢀⠠⠠⠤⠠⢀⡄⠤⡦⠒⠲⠞⠰⡙⡍⢛⡛⠩⠀⠈⢀⡠⠠⠁⠈⠀⢀⠂⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣠⠂⡃⠡⠠⠀⠂⠈⡊⢈⢀⠀⠄⠂⠈⠈⠀⠀⠐⠀⡀⡀⠂⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠁⠁⠀⠀⠀⠀⠀⠑⠐⠂⠐⠀⠂⠂⠐⠀⠂⠐⠁⠉⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀

⢰⡞⠀⠁⠀⣠⡄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⢃⠀⠀⢿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣿⣿⣷⣶⣶⡾⠿⡟⣿⣿⣿⣿⣿⣟⠟⢿⣿⣿⢿⣿⣿⣷⣦⣀⠀⣽⡄⠀⡀⢂⣤⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⡄⠀⣾⣿⠓⠈⠀⠀⠀⠀⠀⠀⠀⣠⣭⣿⣿⡿⠛⢉⡿⣿⣿⣷⡰⣴⣤⣉⣿⡿⣿⣿⣷⣄⠨⣿⣿⡟⢿⣿⣏⡑⠲⣿⣇⠾⢓⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣹⠛⠚⣯⣽⣯⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣯⣭⣤⣤⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣶⡔⠻⠷⢀⣿⣿⠁⠀⠀⠀⠀⣿⡟⢁⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡟⠀⠀⢸⣿⡃⢀⣀⣀⣶⣿⠏⢉⣹⣻⣟⣛⢃⠀⠛⠊⠙⠛⠉⠁⠙⠛⠿⢿⣿⣿⣾⣿⣿⣿⣿⣌⣻⣿⡃⠛⡻⣯⣧⠂⣠⠀⢼⣇⣶⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⢰⢶⡿⠿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣴⣤⣤⣤⣉⣁⡁⠈⠙⠛⣿⣿⠷⠦⢤⣿⡞⠛⠍⢳⠂⠈⠹⣗⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⣷⣿⣿⣿⣶⣷⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣄⣀⡈⠉⠳⢤⣱⠆⠈⠀⣠⡻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⡛⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⢿⣿⣶⣤⣄⣂⠀⠌⠁⠉⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠟⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠠⣰⣶⣿⣷⣾⣟⢻⣿⣿⣿⣿⣿⣽⣿⣷⣿⣿⣿⡿⣿⣿⠻⠿⢶⣦⣌⣉⡛⠻⣿⣷⣶⣦⣄⠀⠤⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⡟⠛⣻⣿⣿⣿⣿⠿⠿⠛⠛⠻⡿⠻⣻⣿⣿⣿⣾⣿⠐⢀⠀⠈⠙⠛⠿⢷⣶⣿⣻⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢽⣾⣿⣿⣉⣼⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⡇⠀⠀⠀⠃⠀⠀⠀⠀⠙⠛⠛⢿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⠿⣹⣿⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⢿⣿⣿⣿⡇⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣶⣄⣀⠀⠀⠀⠀⠀ ⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣶⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⢈⣿⣿⣿⡷⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⢿⣿⣿⣿⡷⣶⣦⣄⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣾⠿⠟⠺⣿⣿⣿⣶⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣇⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣾⣿⣿⣿⡃⠀⠉⠙⢻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡿⡿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣾⣋⠭⣽⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⡇⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⠟⠉⣹⣿⣻⢿⢿⣿⢻⢿⣿⡋⢛⣯⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠻⠒⠏⠉⠙⠍⠟⣿⠿⠿⣢⣯⣹⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣀⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢀⠄⠀⠁⠋⢀⡉⠩⣏⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣼⡟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡄⠀⠀⠈⢀⡀⢤⠊⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣾⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠈⠮⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣼⠟⠙⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀ ⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⡏⠀⣾⣿⣽⣿⣷⣿⡿⠀⠀⠀⠀⠀ ⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠯⠀⣼⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀ ⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢞⣿⢀⣼⣿⢿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀ ⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣾⣿⢛⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡿⣣⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠐⠂⠊⠀⠐⠔⠃⡀⠐⡐⠐⠆⠀⠃⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⠂⠀⠢⠐⠄⠀⠄⠄⠀⠠⠁⠆⠀⠈⠉⠈⠄⢀⠨⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠑⠀⠁⠞⠈⠔⡀⣀⠁⠀⠒⠖⠠⠠⠀⠀⠐⠢⢄⠎⠖⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠅⠼⠤⡀⠉⠈⠉⠁⠉⠉⠀⠀⠀⠙⠀⠃⠢⠀⡀⠄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⡀⣀⠃⠶⢃⠼⡠⠀⠀⡀⡀⡀⡶⠷⢳⠿⡠⠇⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠣⡗⡎⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⢀⠀⡀⠉⡏⡏⠅⠇⠃⢨⢾⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⡳⣆⠈⠐⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠘⠂⠀⠎⠂⠁⠀⡀⠀⣥⠀⠀⠇⡼⡔⡝⡕⠁⡍⠹⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠚⢠⣄⠠⠀⠁⠀⠉⠡⠁⡑⠹⠿⡧⣭⣽⡿⢿⣻⢋⡽⢜⢡⠀⠙⠈⠄⠙⠀⠀⠀⡄⣁⠩⣬⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠘⠀⠀⠊⠃⠈⠰⠫⢽⢯⢛⣾⣿⣯⣣⡏⠅⡏⡷⢯⡟⡟⣬⡷⠾⠛⠿⠕⠋⠃⠁⠀⡀⢉⠠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡍⡂⣒⠊⡊⠮⠊⠙⢥⢽⡝⠢⠇⢀⠓⠛⢙⠉⢠⠃⠉⣹⡂⡯⠄⠞⠀⠤⢁⠁⠋⠅⠰⢉⠃⠙⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢐⠁⠃⠘⡃⣰⣐⠊⠔⠏⡁⢓⠀⠣⢃⡏⣏⣟⣍⠱⠀⢅⢌⢙⢯⠡⣆⢀⠀⠀⠀⠀⠀⠔⠀⡬⣡⢽⡯ ⠀⠀⠀⠀⠀⠀⠀⡉⢀⢦⠘⣯⠁⠀⠌⠀⢅⠁⠘⢌⡂⠄⡄⠁⣀⠁⡍⡿⢏⡿⠟⠋⡠⠁⡓⡃⠀⡢⢡⡀⠀⠀⠐⠀⠑⠀⡈⡗⢑⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⢅⡬⠶⠽⠌⠫⢈⠀⠓⠀⠑⡁⠅⡘⢴⠀⠀⠁⢠⣧⣿⢭⣷⠱⠈⡅⠅⠀⡀⡐⡢⠀⠠⠀⠉⠀⠍⠉⠰⣊⠰⠅ ⠀⠀⠀⠀⠀⠀⠁⠆⠀⠀⠀⡀⡀⠷⠯⡳⠾⡈⠒⠇⢼⠁⢧⠄⠀⠅⣂⠀⠀⢐⢀⡁⡁⠅⢾⠀⠄⡑⢔⣋⡰⡀⡾⡅⠡⠈⣄⠀⠃⠁ ⠀⠀⠀⠀⠀⠏⡒⠒⠂⠉⠀⠀⡡⠢⠀⡀⠂⡘⣪⢯⣏⠻⢏⢑⠀⡄⡉⠋⡅⠁⠃⠂⠾⠒⠁⡁⠉⠣⡛⡾⠌⠁⠆⠀⠆⠣⠧⠐⢀⠀ ⠀⠀⠀⠆⣴⠀⢀⠀⠄⡀⠢⠝⠌⠀⠀⠀⠀⠀⣌⣓⣖⡻⢿⠯⣯⠯⣛⡟⠅⡎⠃⢅⢍⡩⠪⠞⡄⠪⠭⡻⣠⠀⢧⠙⠁⠀⡀⠢⠌⠑ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠒⢁⠀⠀⠐⡆⠶⡤⡠⠑⡤⣦⣀⡟⣇⣧⣝⡼⢌⢽⢵⡭⠧⠩⢆⠽⠤⣂⣽⠑⡁⡆⠥⡉⠀⠀⠀⢠⠀ ⠀⠀⠀⠀⠀⠀⠀⠊⠔⠀⠀⠀⠀⠀⡋⢠⠀⠀⠠⠀⠀⠁⣫⠠⣉⢥⠠⢄⢿⠏⠐⢤⡫⢐⠀⠜⠡⢄⠀⠀⠀⠡⠀⠨⢃⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⠀⢁⠐⠉⠁⠀⡇⢂⠀⠀⠙⠨⠀⡘⢨⠀⠀⠀⠰⣓⠈⠍⢀⠠⠀⠀⠀⠀⠨⢀⠀⡑⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠉⣨⠠⠤⠄⣀⠠⠠⠆⠸⠄⠀⢏⠀⣽⠄⡄⡠⡀⢓⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⢀⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣶⣗⣿⣿⣟⣿⣻⣿⡻⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣽⣟⡽⣟⣟⣿⣯⡟⣟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡾⣿⢷⣏⣯⣯⣛⣿⣿⣟⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⠟⠀⠀⠉⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⢫⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⢻⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠔⣧⡧⡤⡤⡤⣤⣤⡤⠖⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⡀⠄⠠⠙⢿⣦⣤⠀⠈⠛⠁⣠⣴⢶⣒⢦⣆⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠿⠟⠉⠀⠀⠀⠈⠻⣿⣌⠧⣙⢿⣧⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣁⣤⣐⠀⢠⣥⣾⡿⠟⠉⠀⠀⢀⣾⣿⣿⣿⣿⣿⣷⣾⣭⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣜⠥⡎⠽⣧⠀ ⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠉⢻⣦⣿⡿⠉⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣼⣷⠿⠁ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣮⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠀⠀⠀ ⠌⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣞⣾⣿⣿⣿⣯⣟⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣟⣿⣿⣿⣿⣿⣿⣿⣟⣯⣟⣯⣿⣿⣿⣿⣿⣷⣫⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⣠⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⢻⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣟⠻⡿⢛⣭⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣱⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠞⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⡄⠐⠠⠈⠁⣙⢻⣦⡄⠀⠀⠀⠀⢠⣿⢏⣼⣿⣿⣿⣿⣿⣿⡛⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣸⣿⠏⠰⠈⣰⣶⣿⣿⣿⡿⠁⠀⠀⠀⠀⣿⠇⣾⣿⣿⣿⣿⣿⣿⣿⢷⡸⣿⣿⠏⣿⣿⣿⣿⣆⠹⣿⣿⣿⣿⣿⣿⣷⡏⡆⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠿⠷⠾⣷⣧⣺⣿⡍⠈⠀⠀⠀⠀⠀⠀⣼⡏⢜⣿⣿⣿⣿⣿⣿⣿⣯⠿⣽⣿⠏⢀⣿⣿⣿⣿⣿⣦⣉⣿⣿⣿⣿⣿⣿⣿⣼⢡⠃⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡿⠀⠀⠀⠀⠀⠀⠀⣼⡟⢨⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⣴⣦⣦⣴⣤⣦⣴⣄⣎⣘⣤⣣⣴⣣⣵⣽⣾⣷⣶⣶⣤⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⡘⢦⣿⡟⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡟⣟⠻⣛⠛⠛⠛⠛⠛⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⡤⢶⡖⣲⣛⣿⣿⣻⣭⣶⣿⣿⠿⠁⢀⣠⣴⣾⠿⢛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⣺⣌⣳⣉⣔⢣⡀⠌⠠⠀⠄⠐⡀⠠⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠻⢟⣿ ⠀⣠⡄⢀⡀⣀⣶⣮⣿⣭⣷⣷⣿⣿⣿⣿⣿⠛⠛⠋⠉⠉⠀⠀⣠⣶⡿⠟⠉⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⠀⠀⠀⠡⠀⠀⠀⠈⠻⣿⣿⡿⣿⣿⣿⣧⡘⣿⣿⣾ ⠐⠯⣜⣱⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢀⣴⣿⠿⠋⠀⢠⣶⣿⣿⡿⣿⣿⣿⣶⣷⣾⣿⣿⣿⣿⣿⣿⣿⠟⠻⠿⠿⣿⣿⣿⣿⣦⣁⠀⠀⠀⠀⡀⠐⠈⠐⠀⠀⠀⠙⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿ ⠀⠐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣠⣿⡟⠡⠀⠀⣰⣿⣿⣿⢋⣴⣿⣿⡟⣹⠻⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠘⣿⣿⡿⠿⢷⡆⠀⠁⠀⠀⠀⠀⣀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣰⣿⠏⣀⠲⠀⣴⣿⣿⣿⣿⣿⣿⣿⡟⡴⢣⠣⣽⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣤⣤⣾⣿⣿⣿⡄⠀⠀⣠⣴⣶⣿⣿⣿⣿⣿⣿⠆⠀⠘⣿⣿⣿⣷⠹⣿⣿⡟ ⠀⠀⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⡏⠐⢂⠉⣾⣿⣿⣿⣿⡿⠛⣿⣿⣿⣜⣡⣳⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡟⢿⣿⣷⠀⢺⣿⡿⠛⠋⢉⠉⠉⠉⡁⠄⠂⠄⠹⣿⣿⣿⣷⣿⢏⡼ ⠀⠀⣿⠣⠜⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⣿⣿⣷⡌⠠⣼⣿⣿⣿⣿⣿⠃⠀⠘⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠯⣜⡉⣿⣿⡆⠈⣷⣶⡁⡘⠤⡹⠼⣀⢞⠃⣼⠁⡀⢿⣿⣿⡿⣉⠖⠠ ⠀⠀⢫⠀⠩⡐⡌⢻⢿⣿⣿⣿⣿⣿⣿⡝⣿⣿⣜⣻⣿⣿⣼⣿⣿⣿⣿⣿⡟⠀⠀⠀⠈⢿⣿⠛⠁⠀⢘⣯⢻⣿⣿⣿⣿⣿⣿⣿⠏⣬⢛⣬⢣⠽⣿⡇⠀⣸⣿⣿⣶⣶⣥⣗⠰⡞⠀⣾⠀⣴⣿⡿⢯⡱⠌⡌⠀ ⠀⠀⠀⠀⠀⠀⠓⡄⢊⠝⡿⣿⣿⣯⣽⣿⣾⡿⣿⣾⣿⣿⣿⣿⠋⠙⣿⣿⠇⠀⠀⢀⠀⠀⠀⠠⣤⣴⡿⣯⠳⡀⢉⠛⢿⠻⡟⣍⡚⠴⣫⠞⣧⣾⣿⠁⠀⣾⣿⣿⣿⣿⣿⣿⢿⠤⢡⣼⣾⣿⠿⣙⢦⢳⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠃⠜⡰⢉⠛⣿⣿⣿⣿⣿⡷⣿⣿⣿⢿⣿⣧⡀⠸⠟⠃⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣯⣅⠐⠬⣟⢫⡱⡜⢎⡍⢳⢥⣿⣿⡿⠏⠀⢰⣿⣿⣿⠟⡩⠐⣄⡚⣦⣵⣿⡿⣋⠷⣘⣎⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⢘⡄⢚⠽⣿⣿⣿⡽⣿⣿⣯⣞⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣶⣹⢲⡱⣜⣢⣾⣽⣿⣿⠟⠁⠀⠀⣼⣿⣿⣏⡆⠡⡙⢄⠓⣼⣿⣯⢓⡬⢳⡍⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠎⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⢿⣿⣿⠿⠿⡿⠋⠁⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣶⡤⢈⠐⣺⣿⣿⢎⡜⣣⠜⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⠿⡛⢏⡙⢩⢐⣸⣶⣿⢿⣿⣧⠚⡴⡩⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣦⡀⠀⠘⢿⣿⣶⣤⣤⣀⣀⣀⣀⢀⣀⣀⣀⣤⣤⣶⣿⣿⣿⣿⡟⢣⢎⡱⢆⠚⣆⣿⣿⢟⣱⢎⣿⣿⡹⡰⢹⠄⠀⠀⠀⢸ ⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡙⢻⠿⣿⣶⣄⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⡱⢼⡩⢎⣱⠊⣼⣿⡟⢧⡻⢯⣎⢽⣿⣷⡥⢋⡜⠀⠀⢀⣼ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠇⢰⠀⠉⠀⣾⣿⣿⣿⠿⠿⢿⠿⡿⣿⣿⣿⢿⠿⣏⠹⡸⣆⠷⣆⠱⡈⢾⣿⣿⣿⢹⡎⣹⢷⡾⡸⢿⣿⣷⢉⡰⢆⣾⣿⢁ ⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⡈⢄⡩⠐⢠⣿⣿⠋⣀⣡⣼⣤⣎⡰⠐⠦⡘⢆⠳⣈⠧⡱⣈⠖⡌⢱⣸⣿⠏⡘⢿⣷⣭⢏⣿⢷⣍⢻⣿⣿⢦⠱⡊⠙⠛⢿ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠄⠂⠄⠙⣬⣿⣿⣿⣿⡿⢿⠿⡿⣿⣿⣶⣿⣌⡒⢄⣣⠑⠦⡘⠄⣾⣿⠃⣂⠡⢂⠙⠿⣿⣾⣏⣮⣿⠻⣿⣯⢣⢳⠀⠀⢸ ⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢀⠀⢈⠀⠉⢠⣾⣿⡿⣛⢶⡻⢼⢣⡛⡴⢣⢎⡹⢛⠿⣿⣿⣦⣍⡢⠑⣼⣿⠃⠒⡄⢃⠎⣘⢂⢈⣿⣿⠟⠡⡐⢻⣿⣯⢎⡅⠀⠀ ⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣽⣿⣿⣿⣿⣿⣿⡿⠋⢀⠐⠠⠈⠀⣀⣴⣿⡿⣏⠷⣫⠖⡁⠂⠡⠘⠠⠃⡌⢖⡩⢎⡱⢍⡛⢿⣿⣿⣼⣅⡊⠐⠌⠌⠒⡈⣼⣿⡟⠡⣈⠑⡌⡘⣿⣿⣞⠴⠀⠀ ⡁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣇⣿⣿⣿⣿⡿⠋⠀⠔⠂⢈⠀⣠⣶⣿⡿⢏⡳⢉⠎⠡⠀⠀⠀⠀⠀⠀⠀⠈⠠⠉⠍⠳⢯⣜⣦⣌⡙⠿⣿⣿⣿⣶⣌⢠⣿⡿⠏⢀⠡⢄⠃⡐⠀⠘⣿⣿⢎⡅⠀ ⠔⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢽⣿⣿⠏⠁⡀⠐⠈⣀⣤⣿⣿⢿⡫⡝⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠘⠙⠳⠶⢭⢛⡿⢿⣿⣿⣤⣔⡀⠂⠄⠂⠀⠐⢈⣿⣿⣏⠖⠀ ⠆⡐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣿⣷⣤⣤⣤⣶⣾⣿⢿⡻⣝⠮⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⡷⢩⣛⡿⢿⣿⣿⣶⣶⣶⣾⣿⡿⢿⡼⠋⠀ ⢆⠤⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣼⣻⣿⣿⢿⡛⢧⣋⠎⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣤⣴⣾⣿⡟⠀⠈⠈⠃⠜⠸⢍⠻⡝⢏⠳⡙⠣⠈⠁⠀ ⠊⠐⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⣌⣱⣌⣦⣉⣀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⢛⡿⣿⣿⣧⣄⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⠀⢀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣒⣦⡀⠀⠀⠘⣷⡀⢸⡆⢐⣆⢠⡄⠹⣳⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣾⣹⠈⢻⣦⢸⡷⡈⣿⡄⣿⡜⣧⠘⣿⣸⢀⢀⢖⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠘⣿⣾⣷⣱⡰⣻⣰⣿⣸⣆⢻⣿⢺⣯⡇⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⣶⣄⠀⣷⣿⣷⢹⣏⣷⣿⣣⣯⣷⣻⢟⠛⣚⣻⣞⣊⣿⣀⣹⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣟⡆⢸⣸⢿⣸⢻⣿⣷⡿⠡⡂⠑⠈⠁⢡⠺⠁⠘⠛⠭⢄⣳⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣼⠏⣶⣾⣟⡋⢊⠀⠚⠀⠀⢀⢊⠂⠀⠀⠀⠀⠀⠀⣿⣏⢳⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣯⡽⠵⣇⣿⣿⢿⣫⠟⠁⡀⡀⠁⠀⠐⠀⡰⠂⠀⠀⠀⡰⠃⠀⠀⣯⡏⣿⣾⢶⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⣿⡯⣷⣟⢍⡶⡀⢂⠐⡠⠺⠉⠀⡐⠀⠀⠠⠀⠂⠀⠔⡒⠀⣿⣣⣿⡏⠀⢻⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⡟⢀⢤⣿⣜⠕⢠⠆⠀⢀⠈⢀⠐⠀⠀⠠⠐⠁⡐⠀⡠⣿⣏⣿⡇⠀⠀⣷⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⣻⣘⣴⢻⣘⣻⣷⣀⠀⠀⢀⣦⠌⠀⢀⠀⠈⠀⣠⡢⣄⣠⢿⣾⣆⣽⠇⠀⠀⣧⡟ ⠀⠀⠀⠀⠀⠀⢀⡼⣻⢊⢒⠌⠙⣼⣿⡿⢿⣷⡄⠀⠀⠀⠀⠈⠁⠀⠀⠈⢁⡤⣯⣧⢼⡟⢸⠟⠀⠀⠰⣧⡇ ⠀⠀⠀⠀⠀⣴⠗⣵⣏⠒⠁⠀⠀⠑⢿⡿⢾⣵⡻⢦⣀⡀⠀⠀⢀⣀⣰⣾⢿⠤⣾⠋⣙⡓⠃⠀⢀⣶⣓⡏⠀ ⠀⠀⣀⣴⣿⣏⢿⡟⠁⠀⠀⠀⠀⠀⠀⠹⣺⡹⡟⡽⣿⣻⣛⣻⣭⣽⣖⣾⢻⡶⣓⠫⠋⠁⠀⢐⣾⣴⠏⠀⠀ ⠘⠻⣽⣿⣟⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⢷⣺⣿⣾⣸⣸⣧⠿⠯⠞⠈⠀⢀⢀⠀⠕⡡⠒⠁⠀⠀⠀ ⠀⠈⠹⢿⣻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠀⠉⠉⠉⠉⠁⠠⠴⠆⢃⣠⠜⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⢻⣆⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠒⡭⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⢘⣞⣶⣆⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡬⣗⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠿⠶⢴⣶⣔⣤⣟⣚⣿⣾⠯⠓⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠃⡀⠆⠉⡠⡘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣔⡩⠄⠁⠅⠄⢃⠐⡤⡖⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠃⠄⠄⠌⠁⠊⠀⡀⣃⣐⠌⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⢤⡵⠓⠁⠉⠀⡀⢄⡡⡰⠬⠊⡫⣻⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣐⡎⡭⢞⠓⡒⠇⠊⣓⡓⠕⠈⠀⠀⠠⢕⢹⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⣆⣹⣼⡊⣧⡆⠛⠂⠒⠒⠁⠉⠉⠀⠀⠀⠀⠀⠀⣩⣃⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⢤⢑⣆⡇⠏⡙⡲⠊⠁⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⢬⡊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡹⠝⢌⡩⡂⢁⠄⠊⠀⠀⠀⠀⠀⢇⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⢄⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⣣⠛⡠⠃⠁⠀⠀⠀⠀⣄⡀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠠⠀⣤⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡨⡒⡃⠔⢃⠀⠀⠀⠀⠀⡋⢑⡁⠈⡂⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢀⠈⣠⣺⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⡠⢃⠃⡱⣮⠀⠀⠀⡅⠀⠀⠀⠀⠣⢼⡀⠀⠈⡄⠀⠀⠀⡜⠀⠀⠀⢀⡐⡤⠊⡕⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⢺⣊⡆⠓⠁⠀⢸⢱⠀⠀⠑⡆⠀⠀⠀⠀⠀⠈⠉⠒⠃⠀⠀⠀⣇⡠⢔⠪⠉⠀⣔⡊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠁⠈⡇⠢⡀⡀⣸⡸⠀⠀⠀⠉⠦⣀⡀⠀⠀⠀⠀⠀⣀⠤⡒⣏⡡⣐⠄⠤⡂⠅⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠘⠨⠠⠹⠫⠱⠡⠒⠆⠄⠄⠥⠅⣝⡓⠭⠻⠋⠍⠉⠃⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⣠⣄⣒⣶⣴⡄⠀⠀⠀⡏⢆⠀⠀⢀⡀⠀⠀⠀ ⠀⢀⣴⣿⣿⣿⠿⢿⡿⡄⠀⡨⠀⣈⡆⠀⡊⢃⠀⠀⠀ ⠀⡼⣿⡟⣿⣇⠀⠨⣷⣖⡀⠙⡞⠀⠀⡐⠁⠐⠄⠀⠀ ⠀⣺⢻⣿⣟⣷⡃⠀⠹⣧⠇⠠⠁⠀⠘⢆⠀⠀⣱⡀⠀ ⢈⢇⣯⣻⠶⡟⣊⠀⠀⣿⢿⡀⠀⠀⠀⠀⡇⡔⠁⠀⠀ ⢰⣙⣟⣘⣓⢞⢂⠀⠀⢸⢞⠇⠀⠀⠀⠀⠘⠀⠀⠀⠀ ⢸⢖⢓⣭⣾⡗⢰⠀⠀⢸⢳⡁⢀⠠⣠⣤⣴⣴⣼⣿⠋ ⢸⣟⢚⣽⣞⣏⡮⣠⢐⢼⡯⣷⡶⣷⣷⣷⣷⠛⠉⠁⠀ ⠈⣿⣎⡏⣞⣟⢗⢝⣾⣾⡟⣫⠟⡟⡓⠷⠃⠀⠀⠀⠀ ⠠⠯⠖⡳⠷⢿⣞⣗⡧⠞⠓⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀

⠋⢟⠛⠒⠁⠒⠉⠛⠉⠋⠉⠉⠉⠙⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠉⠉⠉⠉⠁⠉⠉⠉⠉⠁⠉⠉⠉⠉⠁⠁⠁⠉⠁⠉⠉⠉⠉⠉⠉⠉⢻⠉⠍⠉⠉⠉⠉⠉⠁⠉⠉⢹ ⡅⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢛⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠂⠀⠀⠀⠀⡇⠀⠀ ⢇⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠈⠑⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠄⠀⢸⡇⠀⠀ ⢸⠃⠀⠀⠀⠀⠀⢀⣀⠄⠄⠤⠤⡏⠤⠌⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠀⣀⣴⡟⣷⡄⠀⠀ ⣸⠅⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⡄⠀⠀⠙⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⠈⢻⠋⠁⠉ ⡇⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⣯⠀⠀ ⡇⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⠈⢅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠄⠖⠐⠄⠄⠀⡏⠀⠀ ⡷⠓⡀⠴⠒⠦⠤⡀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠶⢤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠂⠈⠀⠀⠀⠀⠀⠄⠀⢀⠀⠇⠀⠀ ⡯⠀⠳⠁⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠄⠀⠀⠀⠀⢀⡀⢒⣯⠯⣫⣯⣭⡿⡿⠷⡬⣯⡯⢭⣍⣗⢄⡀⠁⠈⠒⠒⠂⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠆⠀⠀⠀⠀⠀ ⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⡤⠖⠉⢀⣴⣯⡿⠏⢋⠯⣿⢽⣼⠝⣯⢼⡏⠀⠉⡇⣇⠈⠫⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠖⠀⠀⠀⠂⠇⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⡎⠁⠀⢀⣾⡮⠟⠇⠃⠀⡮⠾⣻⣞⢚⠛⣽⠇⣧⣀⡤⣿⠫⠌⣤⢄⠙⠆⠀⣠⡄⠀⠀⠀⠔⠆⠀⠀⠂⠀⠀⠀⠀⡇⠑⠄⠀⠀⠀⠀ ⡇⠰⠢⠀⠀⠌⠣⡀⣀⡀⣀⠀⡀⣀⡟⠁⠀⠖⢟⡿⠁⠀⠈⠌⠀⡇⢿⡿⠷⡯⣿⠚⢧⠺⢯⣉⠉⠉⠂⠯⠪⠉⠁⠀⠀⠈⠒⠒⠁⠈⢀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀ ⣇⠁⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠺⠉⡅⣯⡵⡿⠁⠀⠀⠀⠐⠀⢇⡿⣿⡇⠀⠗⠊⠉⠉⠓⠒⠯⠭⡇⠈⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠂⠀⠀⢘⠀⠀⠀ ⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢤⡷⣿⠃⠀⠀⠀⠀⠀⠐⡓⣿⡢⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀ ⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣞⡇⠀⠀⠀⠀⠀⠀⠀⠘⠄⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌ ⠋⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢂⠀⠀⠀⠀⠀⠀⠀⠀⠆⢆⠧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣃ ⡃⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠀⠃⠀⠀⠀⠀⠀⠀⠀⠈⠕⠊⠪⡓⠢⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠩⠈ ⡇⠀⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠥⢈⣚⡑⠒⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀ ⠏⠀⠀⠓⢆⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠠⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠡⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠰⣋⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀ ⡇⠁⠀⠀⠀⠧⡄⠈⡞⢆⠀⠀⠀⠀⠀⠀⠀⠀⠅⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠥⡀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠖⠏⠃⡡⠎⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀ ⡇⠀⢰⡀⠀⠀⠈⠢⣧⠀⠫⡄⠀⠀⠀⠀⠀⠀⠡⡇⠀⠀⠀⠀⢦⡤⡀⠀⠀⠀⢁⠄⠀⠀⠀⢠⢂⠖⣝⠠⡜⡁⠠⠀⠁⠀⢔⣂⠊⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀ ⡇⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠙⡆⡄⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⠉⠛⠦⣤⡀⠂⡈⢆⡈⡔⠁⠀⣔⣕⡓⠁⠆⠁⡁⢀⠱⠁⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢜⠁⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠢⣆⣄⣀⠙⠆⠀⠀⠀⠀⠀⠀⠀⠈⡟⢩⠋⣇⠉⠀⠀⡠⡋⡃⢂⢊⠀⠀⡀⠃⠀⠀⢀⠄⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣜⠇⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠓⠻⠧⠤⠀⠀⠀⠀⠀⠘⠋⠁⠀⠀⠱⡄⠀⠈⡟⠩⠌⡀⡬⠃⠁⡀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡏⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⣀⡀⡀⢀⢀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠧⡇⠸⠁⠉⠀⠈⠀⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣖⡝⠁⠀⠀⠀ ⡅⠀⠀⠀⠀⠀⠀⠀⠀⠉⢁⠁⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢅⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠋⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠤⠁⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣅⡃⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡨⡊⡀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡋⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠭⢐⡀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⡠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠢⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⡏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣽⡀⠀⠀⠀⠀⠀⠀⠀ ⠧⠤⣄⣀⣀⣀⣀⣀⣀⡀⣀⣀⡤⠤⠄⠤⠤⠤⠤⣄⣀⣀⣀⣀⣀⡀⣀⣀⣀⡦⣁⣀⣤⣎⣁⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⡀⠤⠤⠤⠬⠦⡤⠤⠤⠄⠄⠵⣷⡦⠤⠔⠒⠒⠒⡲

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⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡶⠶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠻⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⡀⠀⡀⣠⠏⠀⣠⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⣤⣤⣶⣼⣿⣴⢃⣾⢣⡾⣽⠿⢢⡴⣷⢠⣤⢸⡄⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣿⣿⢿⣿⣯⡏⣿⣿⢇⣧⡿⢇⡼⣱⡇⣶⠟⡽⣃⡿⣿⣸⠻⢿⣼⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⢄⡰⣄⠀⠀⢠⣤⣾⣿⣿⠛⠻⣯⢿⠿⡟⣼⣧⠹⢡⢏⢁⡠⠏⢰⡿⣆⠃⠀⠁⠁⠘⠂⠉⡃⠈⠻⠛⢻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⠀⢰⣀⢀⡈⣿⡿⡟⣿⣮⣻⣷⡿⡝⠯⢭⡭⠍⠁⠀⠛⠛⢀⠀⢸⣾⡁⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡿⢦⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠰⣬⡻⣾⣿⣮⡻⣟⢮⣛⢷⣽⣻⣻⠄⠄⠀⠀⢀⡠⣄⣤⣋⡜⠈⣁⣠⣄⣤⣴⡳⢶⣴⣦⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⢢⡀⢢⠙⠷⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠰⣤⣬⣶⣾⣿⣿⣿⣻⣿⣷⣄⠈⣙⣚⣛⠪⢽⣶⣴⣯⣬⣿⣿⡿⣿⣿⣿⣉⠉⠛⢾⣿⣿⣿⣿⣿⣿⠿⣷⣦⣄⡀⡀⠀⠀⠀⠀⠘⠂⠀⠀⠈⢽⢦⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣨⣿⣟⢿⣿⡿⣿⣿⣯⡟⠟⠛⣲⣬⢭⢍⡽⣷⣿⣿⣿⣿⠿⠿⠿⠿⠟⣿⡛⠷⣿⣏⣩⣿⣿⡿⠋⠙⠿⣿⣿⣿⣿⣷⣄⣀⣀⠀⠀⠀⠀⠀⠈⠳⡝⢦⡀⠀⠀⠀ ⠀⠀⣦⣾⣿⣿⣿⣧⣹⣿⠷⣶⣷⠠⡶⠾⣫⢾⣵⡿⠛⢻⣿⠛⢹⡀⢀⣴⣒⣛⣉⣭⣿⣿⠞⡿⢿⣿⣿⣿⢽⡶⠀⠀⠈⠹⡌⢛⣷⣦⡐⠀⢀⡀⠀⠀⠀⠀⠈⠀⠉⠀⠀⠀ ⠀⢀⣾⣿⣿⣿⣿⣿⣽⡿⠇⠀⢀⡞⣡⣭⡵⠛⠉⠀⠀⠀⣿⣧⠘⣧⠀⢙⣿⣿⣿⣬⣻⠙⠞⠀⠈⢳⣿⣿⡾⣀⠀⠀⢦⣀⣿⣤⡏⠈⠻⣆⠀⠀⠦⡀⢀⠀⠀⠀⠀⠀⠀⠀ ⠲⣿⡿⣿⣿⠿⠶⣖⡋⠀⢀⣔⣯⡾⠟⠉⠀⠀⠀⠀⠀⠀⠹⣿⣦⡜⡇⢬⣾⡛⠁⠀⠁⠀⢀⣼⣧⡄⠙⣿⣿⡿⣧⣜⠂⢆⣹⡟⠁⠀⠀⠸⣗⢦⣌⡓⣖⣆⠀⠀⠀⠀⠀⠀ ⣸⣿⣿⣿⣿⣿⡿⠉⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣿⣿⠇⠀⠀⠀⠀⠰⡿⠟⣿⡁⠀⢿⣿⢡⡻⠉⣙⠛⠛⠀⠀⠀⠀⠀⠘⢮⢹⢛⠿⣯⣳⣆⢀⠀⠀⠀ ⣭⣿⠿⠏⣷⡀⠀⢀⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣯⣾⡿⣀⣶⣒⠀⠀⣿⡇⠰⣦⣽⣾⣼⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣾⡿⣿⣄⠀⠀⠀ ⣶⣶⣶⡾⠁⢀⣴⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠺⠷⠶⠿⡿⡼⠷⠳⠻⠾⠟⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⣸⡟⠁⠈⣝⣷⡠⠀ ⣿⣏⡥⢃⣴⣟⣿⡟⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢐⣋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡠⣄⣠⣴⣥⢿⡧⠤⠶⠾⣾⣷⡀ ⣠⣵⣶⣿⣿⣿⢿⠄⠀⠹⢷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢴⠋⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠉⠃ ⣽⣿⣿⣿⢶⠶⣂⣀⣀⡀⠀⠙⠳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⡀⡼⠈⢣⡀⠀⢀⠀⠀⠀⠀⠀⢀⣠⣀⡤⠶⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣷⣿⣿⣿⡿⢋⡭⠑⣂⡀⢠⣤⣬⠙⠛⠲⠶⣤⣤⣤⣀⣀⣀⣀⣳⣇⣀⣠⣭⣭⣭⡶⠖⠒⠛⠉⠉⠁⠒⠀⠀⠀⠤⠠⡄⠀⠀⠀⠀SAVE THAT SH★T⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣛⣿⠝⣂⣴⣢⣭⣀⡐⠲⠄⠀⣈⣈⠉⠉⣉⣉⠀⠀⠀⠀⣀⡤⣖⣊⢀⣠⠞⡁⡀⠁⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣣⣾⣽⠟⢽⣿⢿⡾⣿⡿⣫⠟⣫⠞⣩⡵⣾⢿⢖⣶⢿⡿⠛⠁⠀⠉⣠⠌⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀LIL PEEP⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡿⣴⣿⣿⣿⢸⠟⡼⣧⣾⢡⣾⣩⠾⢃⡏⢈⣴⢏⣴⢠⣰⡇⢠⡇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣸⣼⣿⣿⢧⣾⢷⡿⣱⡟⣷⢸⡿⣼⢁⢸⣿⣁⢸⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡦⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⡏⣿⣿⠋⡟⡏⢻⣷⡟⢻⡽⡾⣇⡏⠼⠸⡉⢵⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⠟⠋⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣷⡟⠿⣿⣿⣿⣿⡟⠛⣿⣿⣿⣿⣹⡇⣽⡏⠀⣗⣿⢺⣿⠃⠀⢳⣻⣻⠁⠀⠠⡖⠋⠙⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣷⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠏⣿⣌⠙⢧⡍⣀⠈⠻⣿⠟⢷⣸⣿⠿⢿⣿⣿⢡⣿⢡⣤⠃⠿⠘⠙⠀⠀⠀⣧⣳⡀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠍⠁⠀⠀⠀⠉⠀⠀⠀⠀⣰⣿⠉⠀⠀⠉⠹⠚⡿⠀⠀⠀⠀⠀⠀⠀⢠⢷⠃⡇⣷⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⣼⣿⡇⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣴⣶⣶⣤⣤⣤⣤⣠⣴⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠆⠀⠀⠤⠀⠀⠀⠀⠀⣼⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢻⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ F ★ ck my life, can't save that girl Don't tell me you could save that sh ★ t All she want is payback for the way I always play that sh ★ t You ain't gettin' nothin' that I'm sayin' Don't tell me you is Nothin' like them other motherf ★ ckers I can make you rich (I can make you rich) I can make you this, baby, I can make you that I can take you there, but baby, you won't make it back Growin' sick of this and I don't wanna make you sad Do I make you scared? Baby, won't you take me back? Nothin' like them other motherf ★ ckers I can make you rich (I can make you rich) Nothin' like them other motherf ★ ckers I can make you rich (I can make you rich) F ★ ck my life, can't save that girl Don't tell me you could save that sh ★ t All she want is payback for the way I always play that sh ★ t You ain't gettin' nothin' that I'm sayin' Don't tell me you is Nothin' like them other motherf ★ ckers I can make you rich (I can make you rich) I can make you this, baby, I can make you that I can take you there, but baby, you won't make it back Growin' sick of this and I don't wanna make you sad Do I make you scared? Baby, won't you take me back? Down another lonely road, I go Just another lonely road, oh I just wanna know, I just gotta know Do you wanna glow? Baby, we could glow F ★ ck my life, can't save that girl Don't tell me you could save that sh ★ t All she want is payback for the way I always play that sh ★ t You ain't gettin' nothin' that I'm sayin' Don't tell me you is Nothin' like them other motherf ★ ckers I can make you rich (I can make you rich) I can make you this, baby, I can make you that I can take you there, but baby, you won't make it back Growin' sick of this and I don't wanna make you sad Do I make you scared? Baby, won't you take me back? Do I make you scared? Baby, won't you take me back? Nothin' like them other motherf ★ ckers I can make you rich (I can make you rich)

⢀⣯⡅⣛⣔⡶⠦⠆⡖⡦⢆⠖⡖⢂⡢⢤⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡋⣛⢟⠭⢫⠻⠛⠙⠉⢉⢉⠋⠌⠟⠽⢑⢉⠉⠩⠹⠛⢶⠶⠆⣄⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠛⠭⠆⠋⠂⠂⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠂⠋⠂⠫⢿⣽⣶⡦⣤⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⢁⢪⣱⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡬⠤⢤⠤⠤⣄⡀⠀⣸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁ ⠀⠀⠀⠀⠀⠀⠀⡠⠏⠁⢀⡤⣞⣯⣕⣆⣬⡯⠓⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢖⣤⣄⡠⠊⠀⣀⡤⣳⣾⣽⣷⡿⠛⢭⢟⣷⡦⡀⠈⠉⠂⠀⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡸⠟⠻⠭⣭⣧⡿⣽⠶⡷⢬⡝⡀⠀⠈⠘⢽⡳⡩⣢⠀⠀⠀⣀⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠁⢀⣴⣵⣏⡿⠉⠖⣟⡟⡍⠯⣃⠀⠀⠀⠀⠒⠛⠿⣿⢞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠰⡟⣽⠞⠟⡆⡵⠉⡀⡇⣙⢞⣟⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣤⡀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣹⡦⠇⣆⢅⠀⢀⡗⢬⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠚⠯⠿⠷⠏⠉⠁⠀ ⠀⠀⠀⠀⠀⡺⣟⣯⢋⡨⠙⣱⠢⠢⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢐⢯⣞⢍⠞⣗⣿⠋⣘⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠩⣸⢯⣤⣿⣮⡿⠏⠀⠀⠀⠀⠀⢤⡈⠓⡄⠉⠑⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢭⣙⢟⡹⡍⡂⠂⠐⠁⠂⠈⠀⠀⠀⠁⠀⠄⠀⠀⠀⠀⠀⠀⠁⠉⠈⠐⠀⠠⠀ ⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⢢⠰⣷⣽⡾⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠐ ⠀⠀⠀⠆⢤⠁⢅⠆⢠⡠⡀⡤⢒⡔⣌⣴⠿⣿⠻⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠈⠽⠚⠈⠧⢩⠍⠟⠋⠙⠑⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠴⡿⠃⠛⠻⠿⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⡁⠀⠀⠀⠀⠀⠀⠀⠀⠠⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠨⠁⠀⠀⠀⠀⠀⣀⣠⡄⡄⠴⢤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⡇⠀⠀⠀⠀⠀ ⠀⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠡⠃⠀⠀⠀⡀⣄⡦⣶⡮⣶⣂⣖⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀ ⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠶⠀⠀⠀⠠⣾⢟⠿⡟⠝⣟⠽⣾⢷⣿⣿⣿⣬⣷⣧⡄⡀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢠⢖⡏⠁⠀⠀⠀⡟⠶⢀⠙⣿⣍⡻⣷⡏⡯⡿⣿⣷⣷⣢⡂⠀⡐⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀ ⢀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡾⠀⠀⠀⠀⠀⠀⣿⡉⣁⡐⠼⣿⣿⣿⡗⡯⡉⠁⠴⣱⡙⠿⣷⣾⡗⣭⣯⣤⣥⣾⠃⠀⠀⠀ ⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡧⠀⠀⠀⠀⠀⠀⣯⡆⡈⠀⢅⠊⠻⡛⣑⠀⡅⡄⣵⡏⠀⠀⠀⠉⠑⠟⣿⣿⠟⠀⠀⠀⠀⠀ ⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡟⡋⠁⠀⠀⠀⠀⠀⠀⠀⢹⡂⠔⠷⡀⢈⢀⠄⠐⣡⡾⠃⠀⠀⠀⠀⢀⡄⣯⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢬⡃⢀⡂⠀⠀⠀⠀⠀⠀⠀⠈⠃⢿⣴⣅⣬⣅⡴⠟⠋⠀⠀⠀⠀⣰⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⠁⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣶⣿⣿⣿⣿⣿⠧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣤⣴⣧⣗⡄⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣿⣿⡿⠋⠉⠛⠻⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠞⠁⠀⠀⠈⠛⠋⠋⠙⠿⢽⢿⣧⢟⣤⣽⣲⣤⣤⣾⣿⣾⣯⡟⠆⠀⠀⠀⠀⠀⠹⡇⠀⠀⠀⠀⠀⠀⠀ ⢠⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣽⡫⣿⣷⡕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠠⡵⠦⠤⠤⠤⠾⠏⠋⠉⠙⠳⡿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠕⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀ ⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠡⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢒⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⡆⠀⠀⢠⠀⠀⢸⠀⠀⡇⠀⡇⠀⢰⠀⠀⠀⡄⠀⠀⡄⠀⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣸⣤⡶⠾⠲⣿⣿⠛⠛⢻⠛⠉⠉⠙⠉⠩⠟⠛⢿⣿⠛⠿⣗⣤⡚⠀⠀⡄⠀⠀⠀⠀ ⢦⣄⡞⠀⡆⠀⢆⠀⠀⡇⣀⡤⠞⠚⠉⠁⠀⠀⠀⠀⣴⡟⠀⠀⠀⠀⠀⣀⣀⡀⡖⠉⣧⠀⠀⠀⡿⣿⠀⠀⠀⠀⠉⠻⠿⢶⣏⠀⠀ ⠀⢿⣷⠶⠷⠒⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⢀⣾⡧⣯⡿⡞⠦⠼⠃⠀⠀⠀⢣⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⢠⣧⡟⡿⣿⡇⡇⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⢸⡟⣿⡿⣽⢿⡇⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀ ⠀⠀⠀⠀⠀⠉⠳⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣣⠀⠀⠀⠀⠙⠯⠭⠯⠏⠀⠀⠀⠀⠀⣀⣼⠃⠀⠀⠀⠀⠀⣄⡾⡿⠏⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠶⢤⣀⣀⣀⡀⣈⣛⣆⣀⣀⡀⣀⣀⣀⣀⣀⣤⣒⣿⣕⣋⣀⡤⣖⡺⠽⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠠⠖⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠠⠒⠍⣀⠉⢀⠤⠤⠀⠀⠀⠀⠀⠀⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠛⠀⠁⠁⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠌⢺⡁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢔⠁⠂⠁⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠰⠀⠁⣌⡠⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢊⡀⠅⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣄⡁⡠⡂⠅⣑⠈⠀⠢⣙⡠⡿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠆⠈⠀⠀⠀⠀⡀⠖⢤⢰⠠⡠⢗⠧⡲⠓⠚⠂⠁⠁⠈⠘⠁⠀⢜⠅⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠐⡀⠂⠀⠀⠀⡰⣑⡿⡤⠛⠗⠂⠁⠀⠀⠀⠈⢂⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠂⠈⠂⠀⠀⢒⠒⠋⠀⠀⡊⠀⠀⣀⢀⣀⠀⠀⠀⠀⠀⠈⢄⠀⠀⠀⠀⠀⡜⠂⠀⠀⠀ ⠀⠀⢀⠀⠀⠜⠀⠀⠀⠢⡡⠀⠀⠀⡌⠀⠀⠀⠀⠉⠁⠈⠢⡀⠀⠀⠀⠀⠑⡀⠀⠀⠐⡅⠀⠀⠀⠀ ⠀⡀⠀⠰⠆⠀⠀⠀⡊⠠⠑⠀⠀⢐⠀⠀⠐⠀⠀⠀⠀⠀⠀⠈⡂⠀⠀⠀⠀⢱⠀⠀⢙⠀⠀⠀⠀⠀ ⠀⢁⡜⠁⠀⣀⠄⠔⠁⠀⠐⠀⠀⠌⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⢨⠀⠂⠀⠀⠀⠀⠀⠀ ⣰⠏⠠⠔⠁⠀⠀⠂⠀⠀⠀⠄⠀⢡⠀⠀⠈⠄⠀⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⢘⠁⠀⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠡⠀⠀⠀⠀⠀⠄⠀⠂⠀⠀⠀⠀⠁⠂⠀⠀⠁⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠁⡀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣔⡔⠀⠀⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠨⠦⠀⠀⠀⠀⣀⠀⡠⢎⠕⠁⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠐⡀⠉⠎⠘⠁⠁⠁⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠲⠥⠬⠄⠅⠬⠈⠄⠋⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⠂⠀⠀⠈⠀⡀⠁⠀⠀⠀⠀⠠⠀⠀⠀⠠⡘⠀⠂⡀⠀⠁⠀⠀⠀⠂⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⡄⡀⠀⠈⠀⠀⠀⠀⠀⠈⡀⠀⠀⠈⠀⠀⠀⡀⠀⠀⠀⠀⠁⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠄⠐⠀⠀⠀⠀⠀⠄⠡⠀⠀⠀⠀⢀⣚⡁⠀⢀⠀⠈⡀⠀⠈⠠⠀⠀⠆⠁⠁⠀⠁⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⠀⠀⠄⠈⠀⠀⠀⠀⠁⡁⠁⠌⠀⠀⡀⠫⠉⠆⠈⠀⠀⠐⠄⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠄⠔⠄⢁⠠⠀⠄⡀⠀⠘⠃⠀⠉⡂⠀⠀⠀⢆⠀⠀⠀⠀⠀⡐⠀⠂⠠⠆⠀⠔⠀⡀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂ ⠀⠀⠀⠄⢀⠀⠈⠀⠀⠠⠀⠀⠀⡉⢂⠀⠁⡄⠀⠠⠈⠀⠀⠇⠀⠀⢀⠀⠁⠀⡁⠐⠀⠈⡄⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀ ⠀⠀⠀⠂⠀⠈⠀⠈⠐⠀⠈⠀⡩⡆⠀⡄⠀⠀⠀⠌⠉⠁⠀⠀⡀⣚⡴⣬⡄⠲⣀⠘⠊⠀⠀⢁⠀⠀⠀⠀⠁⠁⠈⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⠀⠀⠄⠀⠐⠌⡄⠀⠀⠁⠀⠀⠨⠈⠀⠀⠀⠄⣤⠿⣯⢃⢿⡏⢨⠀⠀⠀⠁⠀⠄⠀⠀⠀⠀⠀⠌⠈⢀⠀⠀⠀⠀⠀ ⠀⠈⠂⠀⠀⠁⠀⠀⠀⡌⠑⡄⡀⠤⠀⠀⠀⠀⠨⠀⢀⢀⠌⠬⢢⡿⡾⢯⠇⠔⠁⠀⠀⠀⠈⢀⠉⠀⠀⠀⠀⠀⠀⡠⠐⢂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠀⠀⠣⠩⡀⠀⠀⠀⠀⠀⠤⠀⠅⡀⠄⠀⢀⠀⠀⠀⠁⠂⠑⠀⠀⠀⠀⠄⠀⠂⠀⠀⠀⠀⠀⠀⡄⠀⠄⠀⠀⠀⠀ ⠀⠀⠀⠊⠀⠌⠀⠀⠀⠀⠀⠀⢡⡤⢄⡀⠠⠀⠀⠤⠁⠊⠄⡈⠀⠀⠀⠀⠀⠀⠀⡁⠌⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠄⠀⠀⠀⠀⠀ ⠀⠄⠀⠀⠀⠀⠀⠠⠂⠀⢀⡀⠀⠀⠁⠀⠉⠈⠁⠂⠠⡀⡀⠀⠀⠀⠁⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⠀⠀⠂⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠈⠈⠀⠂⠂⠐⠠⠪⠀⠄⠠⠀⡄⠄⠂⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣚⠃⠐⠠⢡⣀⠀⡙⣿⣿⣿⡉⠉⠏⠉⠈⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢆⢄⣀⣀⣡⣀⣈⣉⢻⣿⢯⠱⠁⠀⡀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠄⠨⠊⠀⠈⠊⢁⠏⡙⡙⢾⣦⣎⡁⠀⠀⠂⠀ ⣿⣯⣿⣿⣿⣿⣿⠟⡂⠄⠐⠀⠰⠀⠌⠑⠥⡺⢧⢷⣿⣷⠌⡯⡧⡄⠐⠀ ⠗⠜⢻⠏⢋⣾⣯⠄⡀⢀⣀⣤⣶⣷⣾⣿⣿⣿⣿⣿⣾⣿⣥⣕⣨⣿⣟⠀ ⠂⠀⠀⠀⢁⢧⣩⣤⣶⣿⣿⡿⢿⣿⣿⣿⣿⣍⣿⣿⣿⣿⠟⠿⣷⣆⠻⡦ ⠀⠀⢠⣤⣿⣿⣿⣿⣿⣿⢯⡀⠀⠹⢿⣿⣿⣿⣿⣿⣟⣃⣶⣶⣿⣿⣷⡄ ⠀⠀⣿⣿⠿⡿⣿⣿⣿⢿⣶⣿⡾⡶⢶⣽⡿⢏⠛⠟⠉⠉⢉⠈⠉⠙⠉⠀ ⠀⠀⠀⠁⠀⠨⠀⠟⣡⣿⠋⠈⠽⡡⡚⠿⠟⡾⣰⢄⣲⡣⠐⢩⠄⠠⢢⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⠃⠀⠀⠀⠀⠀⠀⠐⣥⣟⠳⡅⢨⠍⠧⣲⠔⠔⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⢸⠁⠉⠉⠃⠀⠀⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣄⣀⣀⡀⠀⠀⠀⠀ ⠀⠀⢀⣴⣶⣿⡿⢿⠿⠿⠿⠿⠿⠿⠿⠛⠻⠛⠛⠻⡿⢿⣦⡄⠀⠀ ⠀⢰⣿⠛⣧⣼⣤⣰⣄⣠⣄⣀⣀⣀⣀⣤⣴⣶⣶⣤⣄⠀⢹⣧⠀⠀ ⣴⣿⣻⡷⠉⠉⠉⠹⣯⣭⣯⣭⣯⣍⣿⣽⣯⡉⠯⣉⡋⢻⣼⣿⡦⡄ ⠻⢻⣿⣿⠷⠾⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠛⠛⠻⢿⣾⣿⡟⠀⠁ ⠀⠘⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠋⠀⠀ ⠀⠀⠈⣿⣦⠀⠀⠀⠀⠀⠀⣠⣷⣆⡀⠀⠀⠀⠀⠀⣠⣿⡇⠀⠀⠀ ⠀⠀⠀⠙⢿⣿⡆⣀⣀⣤⡾⠋⠉⠉⢻⣦⣄⣀⣰⣾⣿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠛⠋⠁⠀⠀⠀⠀⠀⠈⠉⠋⠉⠉⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡀⠔⠁⡉⣭⡽⣾⣿⠗⠭⠤⠬⠟⣡⡉⡛⢾⣝⡿⣷⡤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠕⠅⡠⠔⠍⣃⣠⣾⣾⣾⠯⡐⠂⢡⢀⠀⠑⠪⣔⢜⠻⣬⡿⣮⡢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠡⢊⠄⠁⡰⢉⢍⠗⠏⡆⠀⢊⡀⠠⡀⠑⢦⠀⠀⢓⡝⣌⢿⣯⢷⡱⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀⡀⠀⠊⠀⠈⡐⡡⠃⡑⠀⡇⠀⠀⢑⠀⠱⡄⠨⢁⠱⡀⠩⣚⢧⡹⣿⡵⡘⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠁⡈⠀⡁⠀⠂⡀⡀⠂⠀⡇⠀⠀⠀⠀⢈⡌⠘⢬⢢⠀⢅⢘⢦⠈⢿⣵⡸⣿⣳⠈⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣽⢂⢈⠂⡐⢀⠂⠆⠀⠄⠂⠆⡆⢰⠀⠄⠀⠈⡇⠀⢾⣆⢣⡈⢦⢩⢆⠈⣯⢷⡸⣿⣧⢋⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⠎⢀⠃⡐⠀⠀⠘⠀⡂⡐⠀⠀⣇⠸⠀⡄⠀⢀⡆⠀⢿⢊⢆⢳⢠⠋⡎⢆⢹⣯⣷⣹⣿⣌⠂⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠈⣿⡌⣖⠆⢠⠁⠠⢰⢡⠁⡌⣼⠘⣆⢠⠀⠀⠞⠁⡼⣼⡎⡊⢻⡷⣧⢳⠸⣸⢳⣽⣻⣿⠟⢰⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢸⠿⡇⡟⡇⠀⡄⢀⡸⡀⠠⢀⡿⢠⢇⢼⢀⠜⢠⢠⢇⣼⠻⡸⡀⠣⣛⣼⢀⣻⢻⡼⣻⣿⣿⢸⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢨⢃⡿⡖⡁⢄⢸⢘⣗⢡⣶⣿⢦⣼⠎⡞⠁⠀⢂⠏⣬⡳⣄⠵⡷⣶⢽⣿⠠⢸⢸⣷⣿⣽⢺⠄⠀⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⢨⣿⡇⠷⢘⠈⣶⢋⣼⠞⠂⣠⠋⡺⡗⡠⢔⢉⡜⣹⠁⠀⠈⠉⠻⡛⣾⢂⡹⢼⠿⣟⢯⢋⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠈⢧⣻⡇⠃⣼⠀⠻⡿⢥⠀⠐⠆⠊⠐⠁⢐⣣⠙⣰⠋⠀⠀⠀⠀⠄⢲⣿⠠⣝⣺⣙⢞⢾⣭⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡀⠀⠙⣷⠱⡿⡄⢰⢻⠄⠀⠈⠁⠀⠅⠚⠙⠁⠀⠀⠀⠀⠀⠀⠀⢀⡾⡝⡸⣰⡟⣼⢏⣿⡿⣍⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢐⡃⣼⣷⡹⣄⢳⣤⠤⠤⠄⠀⠒⠒⠒⠂⠀⠠⠒⠒⠒⠒⠒⠩⢤⣿⡽⣽⡾⣾⣿⣿⡞⢄⠢⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢰⠉⡿⣵⣜⠌⢿⢄⡀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⢠⢶⢟⣽⣯⢾⠋⣷⡧⢟⢌⠲⡆⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠁⢃⠀⢻⣩⢿⢳⠓⠉⠀⠀⠀⠀⠀⠘⠶⠟⠀⠀⠀⠀⠀⠉⠉⣹⣿⣽⡎⠰⢍⢷⠺⡄⠑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⠆⠈⠡⠈⣿⠿⣽⢧⡀⠀⠀⠀⢀⣀⣠⣀⣠⣀⣀⠀⠀⠀⢠⣾⣿⠿⢯⡀⠈⠨⢸⢂⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠆⠀⠀⢠⠍⡇⡜⣿⣻⣦⡀⠀⠀⠀⠄⠀⠠⠂⠀⠀⠀⣠⣾⣿⣯⡇⠘⠣⣠⠐⠸⡆⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠠⠐⠁⠐⡇⢡⣿⣽⡶⡛⢦⣀⠀⠀⠀⠀⠀⢀⣴⡾⣟⣿⣿⢱⡇⠀⠀⠘⠉⠰⢡⠂⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡠⠀⠀⠀⠑⠠⣽⢻⡧⠙⢆⣍⠳⡤⣤⢤⢶⣛⢧⡻⢍⣷⣿⠄⡟⠢⠀⡇⠀⠀⠈⠀⠨⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠚⣽⢻⣇⠀⠀⠪⡱⡘⢆⢫⠒⡭⢒⡱⢊⣿⣿⡌⠀⠀⠀⠁⠀⠀⠀⡄⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡸⠃⣻⢸⠀⠀⠀⠈⠘⡌⢢⠙⠤⢃⢒⠩⣿⡟⣷⡀⠀⠈⠀⠠⠠⠀⢃⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⣤⣤⣄⡤⠐⣈⠤⡉⠐⠁⠈⠀⠀⠀⠀⠀⠑⢆⡉⢆⡉⠦⠵⡏⠿⡭⢟⢶⡢⣤⣤⣤⣦⣼⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠂⡖⠁⠀⢻⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡠⠘⡄⢣⠘⢢⠑⡎⢦⡙⠼⡌⣿⣿⣿⠀⠀⣇⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠒⠀⠁⠀⢰⢱⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⡆⠑⢠⠁⡎⡄⠓⢸⣤⠙⢢⣽⣿⣿⣿⠀⠀⣽⢻⣧⡆⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠤⠠⠒⠉⠀⠀⠀⠀⠀⠀⠘⡄⢁⠀⠀⠈⢧⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠜⢀⠡⢊⠰⢠⢑⣸⣀⢆⣓⣾⣿⣿⣯⣻⠀⠀⢿⡙⡯⠿⣗⡞⣷⣆⡠⢄⡀ ⠀⠊⠁⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀⠀⢣⠀⢡⠀⠀⠈⢪⡉⠉⠉⠉⠉⠉⠀⠈⠙⠠⣕⠀⠀⣠⠕⠚⠉⠉⠉⠉⠉⠉⠑⠸⢿⣟⣿⡽⢃⡝⡆⠀⡿⢰⡙⡃⣇⠓⣖⡳⣟⠷⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠠⡀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠥⠃⠀⠀⠀⠐⠀⠀⠀⢀⠔⠁⠀⢀⡜⢙⡈⠭⡇⠀⣻⠀⠎⣁⠒⡱⢊⡵⢚⡝⣾ ⠀⠀⠀⠀⠀⠀⠐⣆⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠰⢄⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠂⠀⠀⣠⠊⠀⡜⠀⡞⠁⠀⡽⠐⠒⠁⠒⠀⠳⣘⠳⡘⣶ ⠀⠀⢠⡄⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠚⢣⡀⠀⠀⠱⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠀⠀⢀⠔⠀⠀⡴⠀⡞⢹⠀⠠⡟⠐⠒⠀⠊⠀⠓⣂⢳⡑⣯ ⠐⡀⠀⢱⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠐⠙⣄⠀⠀⠈⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠁⠀⢀⠔⠁⡸⠀⢀⠇⠚⠒⡞⠀⠃⡗⠀⠀⠀⠒⠀⠀⢠⢓⡞⢡ ⠐⢀⢀⠘⢃⠀⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠓⠳⣄⠠⠀⡈⢲⣀⠀⠀⠀⠀⠀⡀⠂⠁⠀⢀⡴⠋⠀⠰⠃⠀⡞⠒⠀⠎⠘⠌⠀⠇⠀⠀⠀⠀⠀⠒⡌⢿⠀⡟ ⠀⠀⠻⡈⠸⠆⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠰⠋⡱⢄⡑⢢⡘⢶⣀⣀⡠⠊⠀⢀⣀⠴⠉⠀⠀⡠⠃⢀⢸⠀⠉⠐⠁⠓⠀⢐⠀⠀⠈⠀⠀⠀⠐⡼⠩⣼⠣

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⡂⠀⡈⠄⠄⡣⢍⣋⢢⠑⠐⠂⠁⠉⠁⡀⠀⢀⡠⠆⠀⡆⠈⠁⠈⢐⠀⠁⠀⠀⢂⠁⠀⠉⠩⡈⠨⠋⡱⡅⠘⠂⠃⠨⢍⡁⢐⠀⠂⠤ ⠁⠈⠊⠌⡄⠂⠑⠀⠐⠀⡀⠐⠈⠁⠃⠃⠄⠅⠂⠈⠁⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠁⠀⢠⠀⡀⠀⠂⠈⠐⠁⠳ ⠐⠉⠀⠂⠀⡀⠠⠂⠀⠁⢀⠠⠀⠀⠁⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠀⠀⠀⠀⠀ ⠇⠂⠀⠉⠀⠁⠠⠠⠂⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⠀⠂⠀⠂⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡆⠀⠀⡀⣀⢀⡀⡀⣿⡀⠄⢀⠀⣀⢊⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡃⠀⠀⢀⠄⠄⠂⠘⢅⠀⠀⠀⠀⠀⢀⣷⠁⢀⠀⣀⣦⠁⠀⠁⠑⠂⠠⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠀⠀⠀⠀⠀⠀⢀⠨⠗⣗⡧⡄⣠⡤⡤⣴⣿⡷⠯⠲⢻⡛⣏⢱⣫⠿⣫⡏⣴⡤⣄⣀⣠⡴⠁⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠣⡄⠀⠀⠀⠀⠀⠁⠀⣠⣤⡮⠟⠉⠉⠀⠀⢹⡤⡖⡁⢘⣤⡗⠃⠐⡂⢡⣂⡆⣒⡟⣟⣧⢅⢀⠀⠀⠀⠈⠃⠄⡀⠀⡄⠀⠀⠀ ⠀⠀⠀⠉⠢⣀⢀⡀⣀⣴⡼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠛⣥⠄⡁⠄⡏⣓⠫⡑⣮⡃⠁⡃⡄⣤⣶⡿⠏⡯⣅⠀⠀⠀⠀⡀⠏⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡟⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⢌⢁⠔⣝⡟⠋⡃⣀⢮⢇⠯⢃⡑⠊⠀⠀⠈⠊⠛⠳⣟⡁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠪⣋⡦⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠩⠦⣗⣂⡃⡘⠹⠘⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠣⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠱⠗⡤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡁⡄⠀⠀⠀⠈⠂⠗⡀⠀⠀⠀⠀⠀⠀⢀⡤⣤⠔⠆⠔⡀⡅⡘⡀⠔⠙⠎⠾⠥⠮⠶⠦⠦⠐⠲⠞⠟⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⡇⣄⠀⠀⠀⠀⠁⠁⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠢⡀⡄⡀⠀⠀⠀⠀⠀⠀⠄⠄⠤⠄⠀⠀⠀⡀⡀⢀⠀⣀⢀⠀⠀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠋⠈⠁⠁⠁⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠁⠁⠈⠈⠁⠁⠀⠀⠀⠀⠀⠀⠄ ⢩⠮⠐⠌⠁⠄⠆⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂ ⢀⠈⢄⠁⠈⠀⡂⡐⠡⠄⠀⠀⠀⠂⡀⠀⣀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠔⠀⠀⠀ ⢁⡄⠄⢀⠅⠐⢀⠀⡁⠀⠀⠒⠀⠂⢐⠀⠀⠀⠀⠀⠀⠀⠀⠔⠄⠂⠇⠈⠁⠁⠀⠔⠔⠊⡀⢀⠀⠁⠉⠁⠁⠁⠂⠂⠂⠁⠀⠀⠀⠀ ⠀⠠⠊⠀⡀⠀⠀⠈⡀⠀⠀⠄⠋⡈⠀⠀⠈⡀⡀⠈⡆⠀⠉⢅⢀⠀⠀⠀⡀⠀⠀⠀⠠⠈⠀⠁⡁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀ ⠀⠀⣀⠀⡀⠁⠀⠀⠈⠀⠂⠀⠀⠄⠁⠂⠀⠀⠀⠀⠈⠀⠀⠁⠒⠂⠙⡌⠀⠁⠊⢊⢅⠂⠇⠃⠀⠀⠀⠄⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⠂⠀⢀⡄⠌⠀⠁⠀⠂⠐⠀⠀⠐⠂⠂⡈⠀⠀⠀⠄⠄⢀⠁⢀⠈⠄⠀⢂⠃⠈⡎⠭⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⢂⠁⠀⠄⠀⢀⠈⠀⠀⠀⡀⡀⠐⡀⠂⠀⠄⠀⠄⠀⠀⠉⢀⡀⠀⠐⠂⠄⠀⠀⠀⠀⠀⢀⠠⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣀⠀⡂⠀⠍⠁⠂⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠄⠊⠊⠉⠉⢡⠃⠀⠀⠀⠀⠀⠀⠀⡀⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⡘⠀⠁⠀⠀⠀⠀⢀⠜⠀⠀⠀⠀⠀⠀⡀⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠞⠉⠀⢇⠀⠀⠀⡀⡄⣅⣀⣄⢔⢆⢂⡢⠶⠎⠦⠱⠜⠖⠶⣦⡤⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠖⠁⠀⠀⠀⡜⣤⣾⡮⠷⠧⣏⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡄⠳⠀⠀⠀⢀⣴⡿⠿⣿⣯⣿⣷⣌⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⣀⠀⣀⢀⡀⠀⠀⠀ ⠀⠀⠐⠁⡂⠀⠀⢠⣿⢫⡞⣟⡯⣿⣜⣿⡃⣟⠀⠀⠀⠀⠀⠀⡀⡒⠁⠁⠍⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢐⡈⠀⠂⠀⡜⢿⣿⣿⣿⣏⡥⣿⡏⣿⡁⡟⠀⠀⠀⠀⠄⣂⠂⡠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂ ⢀⠁⠀⠐⠰⠃⠀⢻⣿⣷⣷⣥⣾⡭⣪⢗⡏⠁⠀⠀⣂⣡⠎⠖⠊⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠎⠤⠀⡹⠁⠀⠀⠀⠻⡷⣏⣛⣭⡿⡛⡈⠠⣠⡾⢇⡿⠋⠁⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⡜⠁⠀⠀⠀⢀⣀⠄⠝⡉⣀⢥⠦⢊⢗⢍⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠀⡀⢀⠈⡉⣠⠅⠂⠓⣑⠩⡉⠁⠁⠀⠀⠉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⠀⠈⠂⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢉⣿⣿⣿⣿⣿⣿⡏⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣌⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠀⡀⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⠀⡀⢹⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣟⠂⠀⠀⠻⣿⣿⣿⣿⣿⠃⠀⡀⣸⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣷⣀⠀⠀⢿⣿⣿⣿⣿⠿⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣂⣀⣈⣙⣛⣉⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣈⣉⢛⣁⣀⣀⣲⣽⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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