Glamrock-Freddy-Sus Emojis & Text

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