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