Doge Dot Art

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

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