All-Seeing Demon Emojis & Text

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

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