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