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📔📚           📚 📓📚📖  😫  📚📚📓 📕📚📚  📝  📗💻📘 📖⁣📖📖📖📖📖📖📖📖 Doing my homework! ✏️📝✏️📝✏️📝✏️📝✏️

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⢯⡙⢧⡛⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⣡⢏⡼⡱ ⢧⣙⢦⣙⠶⣡⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢃⡞⣴⢣⣚⡔⣣⣚⣔⣣⣚⣔⣣⣚⠴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⡴⢣⠞⣴⢓ ⡳⢜⢦⡙⢮⢅⡻⣘⢇⡻⣘⢇⡻⣘⢇⡻⣘⢇⡻⣘⢇⡻⣘⢇⡻⣘⢇⡻⣘⢇⡻⣘⠧⣛⢜⡣⣛⡜⢣⡛⣜⢣⡛⣜⣣⣽⠼⠷⠚⠓⠋⠈⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠓⠛⠾⠬⢧⣹⡘⢧⢫⡜⢣⡛⣜⢣⡛⣜⢣⡛⣜⢣⡛⣜⢣⡛⣜⢣⡛⣜⢣⡛⣜⢣⡛⣜⢣⡛⣜⢣⡛⣜⢣⡛⣜⢣⡛⣜⢣⡛⡴⢋ ⢇⡏⠶⣙⢎⢮⡱⣍⢮⡑⢧⢎⡵⣩⠞⡴⣩⢎⡵⣩⢎⡕⣣⢎⡵⡩⠞⡴⣩⢎⡕⣣⠝⡼⣨⠕⡮⢜⣣⡽⠶⠓⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠮⢧⣙⢦⠣⡝⢦⢣⡝⣢⠧⣹⡘⢦⡹⣌⠳⡜⣬⢣⡝⣬⢣⠳⣌⢧⡙⢦⢣⡝⣬⠳⡜⣬⢣⠳⣌⢧⢓⡭⢣ ⢧⡚⡵⣩⠞⣢⠳⡜⢦⡙⣎⠞⡴⢣⢞⡱⡱⢎⠶⡱⢎⡼⡱⢎⡖⣭⡙⠶⣑⠮⣜⡱⢎⡵⣣⠽⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣦⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠯⣎⡣⢞⡡⢞⡡⡝⢦⠳⣌⢳⡹⡔⣣⠞⡴⣋⠵⣊⠶⣙⢎⡳⢜⠦⣛⡜⢦⡋⢷⡘⣎⠧⣚⠥ ⡖⣹⢒⡥⣛⠴⣫⢜⡣⡝⣬⠛⣜⢣⢎⡵⣙⢎⡳⣙⢎⠶⣙⢦⡹⠴⣩⢓⡭⢚⣴⡭⠞⠉⠁⠀⠀⠀⠀⠀⢀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⠛⠛⠻⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠙⠳⢭⣎⠵⣙⢎⡳⣌⢳⢲⡙⢦⢛⡴⣩⠞⣥⢛⡜⡎⡵⢋⡞⢥⡚⣥⢛⢦⡙⢦⡛⣬⢓ ⡇⢧⣋⠶⣩⠞⣡⢎⡵⡹⣰⢫⡜⣣⠞⡴⣩⢎⡵⣩⢚⡼⢱⣊⠵⣋⠶⣩⡶⠛⠁⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⡟⠋⠉⠁⠀⠀⠀⢹⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠈⠛⢮⣎⠵⣊⢧⢣⡝⡪⢇⢮⡱⣚⠴⣋⠶⣙⡜⣣⠞⣥⢛⡴⢋⠶⣙⢦⡙⢦⣋ ⢞⡱⢎⡵⢣⢞⡱⢎⠶⣱⢣⠳⣜⡱⢎⡵⢣⡚⡴⣃⠯⣔⢣⢎⢳⡱⠞⠉⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣄⠀⠀⢀⣀⣠⣤⣾⣿⣿⠿⠿⠿⠶⠶⠶⠶⣶⣶⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠈⠳⢭⡎⡵⢪⡕⣫⢲⡱⡍⣞⣡⢛⡴⣙⠦⣛⠴⣋⠴⣋⢞⡱⢎⡝⢦⢣ ⢧⡙⢮⡜⣣⢎⡵⢋⡞⡥⢎⡳⣌⢧⢋⡖⣣⢝⠲⣍⠞⣬⢣⡞⠋⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⡿⠛⠋⠁⠀⠀⢸⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠿⢿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠙⠲⣇⠞⣥⢲⡱⣍⠶⣌⠳⡜⣬⢳⢩⠞⣡⢛⡜⢮⡱⣋⡜⣣⢇ ⡎⡝⢦⣙⠦⡳⢜⡣⢞⡱⣋⠶⣩⠖⣭⢲⠱⣎⠳⣌⣫⠖⠉⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⠁⠀⠀⣻⣿⣿⣿⣿⣷⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢷⣦⣴⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠈⠻⣔⢣⠳⡜⢎⡜⣣⢝⡢⣝⢪⡝⣬⠳⣜⢣⡕⣣⠞⡥⢎ ⢧⡙⣦⡙⢮⡱⢫⡜⣣⢳⢩⠞⣡⠞⡴⢋⡵⣊⢷⠞⠁⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣴⠿⠟⠛⠛⠋⠉⠉⠉⠁⠈⠀⠈⢻⣿⣿⣿⣿⣿⠿⠛⠿⣶⣦⣤⣄⣀⠀⠀⠀⠀⠈⠙⢻⣿⣿⣿⡏⠀⠀⢘⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠈⠳⡝⣜⢣⢞⡡⣎⠵⣪⢕⡺⢔⡫⢖⡣⢞⡱⢎⡵⢋ ⡎⡵⢢⡝⢦⡙⣇⢞⡡⢇⣏⠺⢥⡛⣜⢣⢲⡝⠃⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠻⣿⣿⣿⣿⣿⡿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣼⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⣰⣿⣿⣿⣷⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠈⠺⣕⠮⡱⢎⡣⢇⡞⣬⢣⠝⣎⠵⣋⡜⣣⢞⡩ ⢧⡙⣇⠞⣥⢫⡜⢎⡵⢋⡴⣋⠶⣩⠖⡭⠋⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⢀⣿⡿⠟⠋⠁⠀⠀⠀⠀⢀⣀⣤⣤⣶⣶⣿⡿⠛⠛⠛⠛⠙⠛⢿⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⠉⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠙⢮⡕⣫⢜⡣⠞⡴⣩⠞⣬⠳⡱⢎⡵⢪⡕ ⡎⡵⢪⡝⢦⠳⣜⢣⠞⡱⢎⡥⡛⣴⠟⠁⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣠⣶⣿⠋⠀⠀⠀⠀⣀⣤⣶⠾⠿⢿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣦⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠻⣔⢫⡜⣹⠲⢥⡛⡴⣋⠵⡫⡔⢧⡚ ⢧⡙⣇⠞⣥⠛⡴⣋⢞⡱⢫⠴⣹⠊⠀⠀⠀⢀⣼⣿⣿⡿⠋⠀⠀⢻⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣦⣀⣠⣴⣾⣿⣿⡇⠀⠀⢈⣿⣿⣿⣿⣿⡿⠶⣶⣾⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠈⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠙⣿⣿⣿⣧⡀⠀⠀⠀⠙⣦⡙⢦⡛⢦⡙⡖⡭⣚⠵⣙⢦⡙ ⡎⡵⢪⡝⢦⢛⡴⡩⢖⡭⢣⡿⠃⠀⠀⠀⣠⣿⣿⣿⠟⠀⠀⠀⢠⣾⠟⠻⢿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⡿⠛⠉⠁⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⠁⠀⠀⣿⣿⣿⣿⣿⣷⣦⣤⡀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⣷⣤⣠⣼⣿⣿⣿⣿⣿⣄⠀⠀⠀⠈⢿⢢⡝⢦⡹⢜⡱⢎⡳⢍⠶⣩ ⢧⡙⣇⠞⣥⢫⠴⣙⠮⣜⡳⠁⠀⠀⠀⣰⣿⣿⣿⣏⠀⠀⠀⣴⣿⡇⠀⠀⢸⣿⠟⠁⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⢀⣀⣠⣤⣴⣿⣿⣿⣿⣿⣿⣦⣤⣴⣿⣿⣿⣿⣿⡿⠋⠉⠻⣷⣦⣄⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠈⢷⡘⢧⡙⣎⠵⣩⢎⡝⢮⡱ ⡎⡵⢪⡝⢢⢇⡛⣬⠳⡼⠁⠀⠀⠀⣴⣿⣿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣶⣶⡿⠃⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⢀⣠⣿⣿⣿⣿⣦⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠈⢻⢦⡹⢜⡪⡕⠮⣜⢣⠞ ⢧⡙⣇⠞⡱⢎⡵⢢⡿⠁⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠀⠀⠈⣿⣿⣿⣿⣿⣿⠁⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⢷⡙⣎⠵⣊⠷⣌⢧⢋ ⡎⡵⢪⣍⠳⣭⣘⣳⠁⠀⠀⠀⣼⣿⣿⡟⠋⠉⠹⣿⣿⠉⠈⠙⣿⡿⠋⠀⠀⠀⣴⡿⠁⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀⠀⠀⣀⣀⣤⣿⣿⣿⣿⣿⣿⣤⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠈⣿⣿⣿⠁⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠉⢻⣿⣿⣧⠀⠀⠀⠈⢷⣌⠳⣍⠶⡩⢖⡭ ⡱⣍⠳⣌⠳⢦⣱⠃⠀⠀⠀⣰⣿⣿⣿⣧⣀⣀⣠⣿⣿⣄⣀⣠⡿⠁⠀⠀⢀⣾⣿⣿⣦⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣴⣿⣿⣿⣆⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣀⣀⣼⣿⣿⣿⣆⠀⠀⠀⠘⣎⠳⣌⢳⡹⢜⠲ ⡱⢎⡳⣌⡛⢦⡟⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⢘⣿⡟⠀⠀⠈⣿⡿⠁⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢹⠳⣌⢧⢣⢏⠳ ⡱⣋⠴⣣⠝⣺⠁⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢀⣿⣿⣿⣿⣿⣿⠟⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣾⣿⣿⣦⣤⣴⣿⣿⣤⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠈⣷⢩⠖⡭⢎⠳ ⡱⡍⣞⢡⢏⡇⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣾⣿⣿⣿⣿⣿⣇⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣦⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠈⢿⣿⣿⡇⠀⠀⠀⢸⣇⢻⡸⣩⢓ ⡱⣍⠲⣍⢺⠁⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣷⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠸⣿⣿⣿⠀⠀⠀⠀⣏⠶⣑⢣⡍ ⡱⢎⠳⣌⡛⠀⠀⠀⢠⣿⣿⣿⠋⠀⠉⣿⣿⣿⣿⣿⣿⠃⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢸⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠙⣿⠏⠀⠈⢻⣇⠀⠀⠀⣿⣿⣿⡆⠀⠀⠀⢻⠜⣥⠳⡜ ⡱⣋⠵⣊⠇⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣼⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⢿⡇⠀⠀⠘⣿⣤⣀⣤⣿⣿⣿⣇⠀⠀⠀⢸⣙⢦⡛⡜ ⡱⣍⢺⢱⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⢀⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⢰⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⡖⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡟⠁⠀⠘⣿⣿⣿⠁⠀⠀⢻⡟⠁⠀⠙⣿⠀⠀⠀⢸⣧⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⣏⠶⣙⡜ ⡱⢎⡱⢮⠀⠀⠀⠀⣿⣿⣿⣧⣀⣀⣼⣿⣿⣿⣿⣿⣷⣄⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⡇⠠⠀⠀⢀⣀⠀⠀⢀⣀⠀⠀⡇⠠⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⠀⠀⠀⢻⣿⣿⠀⠀⠀⢸⣧⠀⠀⠀⣿⡇⠀⠀⢸⣿⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣯⢳⡱⣊ ⡱⣋⠼⣸⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⡇⠐⣀⠔⠡⡼⠃⠀⡇⢈⡇⠀⡇⠠⣀⠔⠡⡼⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⡄⠀⠀⢸⣿⠀⠀⠀⣿⡇⠀⠀⠐⣿⠀⠀⠀⢸⡟⠉⠉⠹⣿⣿⣿⠀⠀⠀⠀⡧⣇⠳⡥ ⡱⡍⡞⢴⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⡇⠐⠠⠈⢯⠀⠀⠀⡇⠠⡇⠀⡇⠐⠠⠀⢯⠀⠀⢺⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⢸⣿⣿⣧⣀⣀⣼⣿⠀⠀⠀⣿⡇⠀⠀⢐⣿⣄⣀⣠⣾⣷⣀⣀⣰⣿⣿⣿⠀⠀⠀⠀⡷⣩⢳⠱ ⡱⢎⡙⢮⠀⠀⠀⠀⣿⣿⣿⡟⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠛⢿⣿⠟⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⡇⢸⠋⠳⡀⠱⡄⠀⡇⠁⡇⠀⡇⢸⠋⠳⡀⠱⣄⠀⠁⠀⠀⠀⠀⠀⣼⣿⣿⣿⡿⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⡷⢣⡝⢎ ⡱⣋⡜⣣⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⢀⣼⣷⡀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠓⠚⠀⠀⠘⠒⠊⠀⠙⠚⠁⠀⠓⠚⠀⠀⠈⠒⠋⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣧⡀⠀⢠⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢰⣏⠳⣜⢣ ⡱⢣⡜⡥⡇⠀⠀⠀⢹⣿⣿⣇⠀⠀⠀⣿⣿⣿⣿⣿⣿⡟⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⡏⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣸⡌⡗⢮⡱ ⡱⢣⡚⡥⢇⠀⠀⠀⠘⣿⣿⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⡄⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣾⣇⡀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⣾⡱⣙⢦⡓ ⡱⢣⡝⢲⣹⡀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠈⣿⣿⣿⣿⣿⣷⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⡿⠛⠛⢿⣿⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡿⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⣸⣿⣿⣿⣿⣿⠟⠋⠛⢿⣿⠟⠉⠙⣿⣿⣿⣿⠀⠀⠀⢀⡏⢶⡩⢖⠭ ⡱⢣⢞⡱⢎⡇⠀⠀⠀⠸⣿⣿⣿⣀⠀⣠⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⢿⣿⣿⣿⣿⣿⡏⠀⠀⠈⢿⣿⣿⣇⠀⠀⢠⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣄⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢠⣿⣿⣿⣿⣿⣿⣄⠀⢀⣼⣿⣄⠀⣀⣾⣿⣿⠇⠀⠀⠀⢸⡝⢦⡙⣎⠳ ⡱⣋⠶⣩⢖⣹⡄⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠈⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⢻⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣦⣤⣤⣀⣀⣀⣤⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⢀⡟⣜⢣⡝⡬⣓ ⡱⢣⡝⢦⡹⡰⢧⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⣼⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⣼⠳⣌⠳⣜⡱⢬ ⡕⣣⠞⡥⢳⣑⠻⡄⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠉⢻⣿⣿⣿⠏⠀⠀⠀⢠⢧⢛⡬⢳⡌⢧⢣ ⣙⠦⣛⡜⣣⢎⢳⡹⡄⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣏⠀⠀⠀⣿⣿⣿⣿⣿⡿⠟⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣠⣼⣿⣿⡟⠀⠀⠀⢀⡿⣊⠷⣘⢇⡞⣥⢣ ⣣⢛⡴⢪⡕⣎⢣⠝⣳⡀⠀⠀⠀⢻⣿⣿⣿⡏⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠙⣿⣦⡀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣿⣿⣿⡿⠛⠉⠀⠀⠀⢀⣴⣿⠋⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⢀⡾⡱⣍⢞⡱⢎⠶⣌⠧ ⣥⢋⡖⣣⠞⣌⠧⣛⠴⣳⡀⠀⠀⠀⠻⣿⣿⣷⡀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣴⣿⣿⣿⣶⣄⡀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣿⣿⣿⣿⣿⣿⠿⠟⠋⠁⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣄⣠⡾⠟⠻⣿⣿⣿⣿⠿⠿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⡟⠀⠀⠀⢀⡾⣡⠳⣜⢪⡕⣎⠳⣌⠳ ⢦⣋⠶⣱⢚⡬⢳⡩⢞⡔⣳⡀⠀⠀⠀⠹⣿⣿⣿⣄⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠋⠉⠁⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⢸⣿⣿⡇⠀⠀⢸⣿⣿⠀⠀⠀⣹⣿⣿⣿⠏⠀⠀⠀⢀⡾⣡⢇⡻⢌⡇⡞⣬⠳⣌⠳ ⡇⣎⠧⣣⠏⡼⣡⠳⣍⠶⣡⠷⡄⠀⠀⠀⠘⢿⣿⣿⣶⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⣀⣀⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⢀⣴⣿⣿⣿⣿⣶⣶⣿⣿⣿⣷⣦⣶⣿⣿⣿⠋⠀⠀⠀⢠⢞⡱⢣⢎⡵⢋⡼⣘⢦⢛⡬⣓ ⠞⣬⢓⡥⣛⠴⣃⢏⠶⣙⢦⡹⡹⢆⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠷⠟⠛⠛⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣠⣶⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⣠⠟⣬⢓⡭⢎⠶⣩⠖⣭⠲⣍⠶⣡ ⡏⢶⡩⢖⡭⣚⡱⢎⢧⡙⢦⡓⡵⢋⣧⡀⠀⠀⠀⠙⢿⣿⣿⣿⣿⠁⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠈⣿⣿⣿⣿⡿⠋⠀⠀⠀⢀⡼⢣⡛⣤⢋⠶⣩⠞⣡⠞⡴⢫⡜⢮⡱ ⢞⣡⠳⣍⠶⣡⢛⡜⢦⡙⢦⡹⡜⣣⠖⣹⣄⠀⠀⠀⠀⠻⣿⣿⣿⣦⣀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣤⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⢀⣴⣿⣿⣿⠟⠀⠀⠀⠀⣠⠞⣜⢣⡝⣢⠏⣞⡡⢞⡥⣛⡜⣣⠞⡱⢎ ⠧⣎⠳⣬⠳⢥⢫⡜⣣⠝⣦⠓⡵⣃⠻⡴⣘⠧⡄⠀⠀⠀⠈⠻⣿⣿⣿⣶⣄⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠹⣿⣿⣿⡿⠛⠁⠀⠀⠀⣠⣴⣿⣿⣿⠟⠁⠀⠀⠀⢀⡼⢣⡛⣬⢣⠞⣡⠞⡴⣙⢎⠶⡱⢎⡵⣊⠷⣩ ⡳⣌⠷⣌⠻⣌⠳⡜⣥⢛⡴⢋⠶⣩⢳⡱⡍⣞⠹⢦⡀⠀⠀⠀⠈⠙⢿⣿⣿⣷⣤⡀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠻⣿⣷⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⢿⣿⣿⣿⣿⣷⣤⣤⣼⣿⣿⣿⣇⠀⠀⢀⣤⣾⣿⣿⡿⠛⠁⠀⠀⠀⢀⡴⢫⡜⣣⠝⣦⢣⡛⡴⣋⠶⣩⢎⡳⣙⠮⡴⣩⢞⡡ ⡳⣌⠳⣜⠳⣌⢳⡹⡔⣫⢔⡫⢞⡱⢆⡳⠭⣜⡹⢦⡙⣦⣀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⣽⣿⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⢿⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⠿⠛⠛⢿⣿⣿⣿⣿⣷⣾⣿⣿⣿⠿⠋⠀⠀⠀⠀⢀⡴⢫⡜⣣⠞⣡⢏⢦⢣⡝⢲⡍⡞⡥⢎⡵⣃⢏⠶⡱⢎⡵ ⠳⣌⡳⢬⠳⣌⢧⢣⡝⢦⢫⡜⣣⢝⡪⣕⢫⠲⣍⠶⡹⡔⣎⢳⣄⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣄⣀⣠⣤⣴⡶⠿⠛⠋⠉⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⣠⠾⡹⣜⢣⢞⣡⢛⡴⢋⡜⢦⡙⣇⠞⣥⢛⡜⡲⣍⢎⡳⣙⠮⡔ ⡛⡴⣙⢎⡳⣜⢪⡕⢎⢧⠳⣜⡱⢎⡵⢊⢧⢛⡴⢋⠶⣙⢬⢣⢎⡗⢦⣀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⢻⣿⣿⣿⣿⣿⠿⠻⠾⠶⠶⠾⠿⠿⠟⠿⢿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⣀⡴⢺⡅⢯⡱⢎⡣⢞⡔⣫⢔⡫⣜⢣⡝⣜⠺⣔⢫⡜⡱⢎⢮⡱⢣⡛⡜ ⡝⡲⣍⢮⡱⢎⡵⢪⡝⣊⠷⡸⡜⣣⠞⣭⢚⡜⡲⣍⢞⡱⢎⡳⢎⡜⣣⠞⡳⢤⣀⠀⠀⠀⠀⠀⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣾⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣤⣤⣤⣴⣶⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⣀⡤⢞⡱⢎⡳⢜⡣⣕⢫⡜⢣⢞⡡⣎⠵⣊⢧⡚⣬⠳⣌⠳⣜⡱⣋⠶⣩⠧⡹⡜ ⣇⠳⡜⢦⡙⣎⢖⡣⢞⡥⢫⡕⢮⡱⣚⠴⣋⠼⡱⢎⡚⡼⣡⠳⣍⠺⣅⠯⣱⢣⢞⡱⢦⣄⡀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣤⣤⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠋⠁⠀⠀⠀⠀⠀⢀⣠⢴⠺⣥⡙⢮⡱⣋⡜⣣⠕⡮⡱⢎⡳⢎⡵⣊⠷⣩⠖⡹⣔⢫⡜⡳⣌⠳⣍⠞⣥⢚⡵⣩ ⢎⡳⣙⢮⡱⢎⢮⡱⣋⡜⣣⠞⣥⠳⣩⢞⡡⢏⡵⢫⡜⡱⢥⡛⣬⠳⣌⠳⣥⢋⢮⡱⢣⢎⡭⣓⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⡞⣭⢲⣩⢓⢦⡙⢦⣓⡱⢎⡥⣛⠴⣙⢮⢱⢫⠴⣩⠞⣡⢞⡱⢎⡇⣞⡱⢎⡳⣌⢻⡰⢫⡔⣣ ⣇⠳⣍⠶⣩⠞⣢⢳⠱⣎⠵⣚⠴⣋⢖⡣⡝⢮⢜⡣⢞⡱⢣⡝⣢⠝⣬⠳⣌⢏⡖⢭⡓⣎⠶⣩⠞⡴⣩⢛⡲⢤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠤⣖⢫⡛⡴⢫⡜⢦⢓⢦⣋⠶⣙⢦⢣⡝⢎⠶⣩⠞⡱⢎⡣⢇⡻⣔⢫⠖⣭⢚⠵⣚⠴⣙⠮⡱⢎⡣⣝⡱⢎⡵ ⢎⡳⣌⢳⡱⢎⡵⢋⡵⣊⠷⣩⠞⡱⢎⡵⣙⢎⢮⡱⣋⡜⣣⢞⣡⢛⡴⢫⡜⡲⡜⣣⠕⡮⣱⠣⣝⠲⣥⢫⡜⣣⠶⣬⢹⡙⢶⠲⢦⠤⣄⡄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣀⡠⢤⠤⣖⢲⢫⡝⣢⢇⡻⢔⡣⡝⣜⢣⠞⣡⠏⡶⢌⡳⣍⢲⢣⢞⡩⢞⡡⢞⡱⢫⡜⣣⠳⣌⠧⣛⠴⣋⠞⣥⢛⡬⢳⡙⢮⡱⢎⡵⢋⡴ ⣇⠳⣌⢧⢳⡩⢖⡭⢲⡍⢶⡡⢏⡵⢫⠴⣩⠞⣢⢳⠱⣎⠵⣊⠶⣩⢖⡣⢞⡱⢣⢇⡻⣔⢣⡝⣬⠳⣌⠧⣚⡱⣚⠴⡣⡝⢮⡙⣎⠳⣜⢲⡱⡜⡭⢎⡵⢫⠭⣍⠭⡭⣍⢧⡹⡜⣤⢫⠴⣙⢎⡳⣌⠧⣳⠸⢥⢎⠵⣋⠴⡹⣌⢮⡙⢦⡛⣬⢣⠳⣌⢧⢋⠶⣙⢮⢱⢫⡜⣣⢞⣡⢛⡜⢮⡱⢫⡜⣹⢢⢏⡜⣣⠝⣦⡙⣎⠶⣩⠖ ⢎⠷⣎⢮⠳⡜⢣⠞⡱⢎⡣⡝⢎⡜⣣⢛⠴⣋⠶⣩⠳⣌⠳⡍⣞⡡⢎⡵⢋⡜⣣⢎⠵⣊⠧⣚⠴⣋⠶⡙⢦⢓⡍⢮⡱⣙⢦⠹⣌⠳⣌⠳⣌⢳⢩⠞⣬⠣⢏⡬⣓⡱⢎⡲⢥⠛⣔⣋⢮⠱⣎⡱⢎⠵⣊⡝⢎⡎⢧⡙⢮⡱⢎⢖⡹⢦⡙⢦⢋⡳⢜⡪⢝⡪⡕⣎⢣⠳⡜⣥⢚⡴⢋⡜⣣⢕⡣⢞⣡⢓⠮⡜⡥⣛⢤⠛⡴⢋⠶⣩

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⠈⠀⠁⢠⣾⠿⠁⣄⠀⣰⢺⣿⣀⣸⡧⢸⣯⣠⣄⠀⣿⣿⢿⡷⠃⠀⠀⠘⣿⠇⠺⠇⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡟⠉⣠⣴⠇⢀⡀⢤⠀⢾⣟⣿⡟⣿⠀⡀⣿⣿⣿⣽⢨⣝⣿⣦⣾⣿⠃⠿⣿⠿⠃⠚⠉⠀⠋⠀⠘⠛⠀⠀ ⠻⠄⠀⣿⣯⣴⡦⣿⣼⣿⠈⢿⣽⣿⠃⠘⢿⠿⠋⠀⠛⠛⠊⠁⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⠀⠀⠀⠀⣠⣶⣾⠀⠀⢽⣯⠀⢿⣷⢿⡷⢸⣿⠋⠀⣿⣾⡇⠙⠿⠿⠃⠘⠛⠿⠃⠘⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠛⠉⠀⢿⠈⠻⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣠⣤⠀⣀⣀⣠⣤⣄⢠⣦⣼⣖⣻⢶⡞⡏⣿⣹⣾⣿⣿⠀⠀⠀⢸⣿⣷⢈⣿⣿⣤⡸⠛⠁⠀⠈⠘⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡰⣦⣄⢸⡦⣴⢶⢠⣾⡿⠈⣟⢺⣽⣉⣿⣏⠿⠼⠝⠿⠚⠛⠛⠉⠉⠉⠉⠀⠈⠉⠁⠀⠀⠀⠀⠋⠉⠛⠏⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀ ⠀⠂⣤⡄⣾⣷⣠⠶⣴⢶⢺⡷⡶⣿⣿⢿⣦⣧⠼⠦⠗⠻⠘⠛⠿⠿⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀ ⠀⠀⠉⠈⢯⠽⠛⠶⠋⠚⠚⠉⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢦⣔⡒⠦⣄⡀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⢀⣠⠶⢲⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⣄⠙⠲⣤⡀⠀⠘⣷⣄⠀⠀⠀⠀⠀⠀⠀⣠⣿⠁⠀⢀⡴⠋⣡⡞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠖⠋⢁⡼⠁⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠂⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡈⠙⠻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠙⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⢠⣄⡈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣋⣤⡶⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠦⢤⣄⣠⣀⣄⣠⣤⣤⠤⠤⠶⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⢸⡇⠙⠲⢿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠁⡼⠁⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⢳⣀⣀⣀⠈⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡛⠓⠒⢒⠒⠒⠲⠲⠦⠾⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡾⠖⠒⠒⠚⠋⠉⠉⠉⢉⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠻⣄⠀⠀⠣⡀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⡟⠁⡰⠁⠀⠀⠀⠀⠀⣰⠋⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠀⠀⠘⣧⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠙⢧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⢁⠞⢀⠜⠁⠀⠀⠀⠀⠀⡼⠁⠀⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⢀⣤⠆⠀⠀⠘⢧⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⣠⠋⡠⠊⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠰⣤⡀⠙⠷⣄⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀ ⠀⡀⠀⠀⠀⠀⠀⠀⢀⣴⣞⣡⠴⠖⣻⠃⠀⠀⢀⣤⠾⣆⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⢀⡜⠁⠔⠁⠀⠀⠀⠀⠀⠀⣼⠓⢦⣄⠀⠀⠙⢯⠳⠦⣍⣳⣦⡀⠀⠀⠀⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⢠⡞⠁⢀⣠⠞⠉⠀⢀⣹⡄⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⡠⠋⠠⠉⠀⠀⠀⠀⠀⠀⠀⢰⣧⣀⠀⠈⠛⢦⡀⠈⢳⡄⠀⠈⠉⠁⠀⠀⠀⠀⡀⠠⠀ ⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⢀⡴⠋⠀⢀⣠⠖⠋⠉⣇⠀⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠈⠓⢦⣀⠀⠉⠳⣄⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠄⠀⠀⠀⣠⡞⢁⡴⠋⠀⣠⠶⠋⠀⠀⠀⠀⢻⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⢀⡴⠋⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠉⠳⣄⠀⠘⢦⡈⢳⣄⠀⠀⠀⠀⠁⠀⠠⠀ ⠈⠀⠀⠀⠀⠀⠀⠀⣾⢏⣰⠏⠀⢀⡾⠁⠀⢀⣰⡇⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⣰⠏⠀⠀⠀⣰⠉⠀⢀⣀⠀⢀⡰⠉⠀⠀⠀⠀⠀⢀⣸⡇⠀⠀⢰⣆⡀⠀⠈⢷⠀⠀⢹⣆⡹⣷⠀⠀⠀⢀⠰⠀⠀ ⢀⠀⠀⠈⠀⠀⢠⡾⠟⢫⡏⠀⢀⡞⣀⡤⠞⠋⢸⡇⠀⣰⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡶⠋⠀⠀⠀⠘⠉⢉⡩⠟⠉⠀⠁⠀⠀⠀⠀⣠⠴⠚⠁⢸⡿⣆⠀⠸⡏⠙⠲⢤⣈⣷⠀⠀⢻⡉⠻⢷⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠀⠄⠀⠀⠀⣿⠀⠀⢸⡟⠉⠀⠀⠀⣸⠀⣰⠃⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢀⡠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠰⠯⣀⡀⡀⠀⠘⣇⠹⣆⠀⡷⠀⠀⠀⠉⣿⠀⠀⢘⡧⠀⠀⠀⠀⠀⠂⠈⠀ ⠐⠈⠀⠀⠀⠀⠀⡀⠀⣿⠀⠀⠘⣧⠀⠀⠀⠀⣿⣰⠃⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⡤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠚⠉⢃⠀⠀⣿⠀⠘⣦⣿⠀⠀⠀⣸⠇⠀⠀⣸⠇⠀⠀⠀⠀⠂⠀⢀⠀ ⠀⡀⠀⠀⠄⠀⠀⠀⠀⠸⣇⠀⠀⠘⣧⡀⠀⠀⣿⠃⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⡟⠁⠀⠀⠀⠀⠀⠄⠀⡀⢀⣠⠴⠚⠉⠀⠀⠀⠀⢸⠀⠀⢹⡄⠀⠘⣿⠀⢀⣴⠏⠀⠀⣠⠟⠀⠀⠀⠀⠄⠀⠠⠀⠀ ⠀⠀⢀⠀⠀⠀⠐⠀⠁⠀⠙⢧⡀⠀⠈⠻⣦⡀⠁⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠮⠥⠴⡷⠒⠒⢒⡻⠟⠁⠐⠊⠀⠉⠒⣤⡄⠀⠀⠀⠀⠀⠘⠀⠀⠘⣇⠀⠀⣨⡴⠛⠁⠀⢀⡴⠋⠀⠀⠀⠀⡀⠀⠠⠀⠀⡀ ⠁⠀⠀⠀⡀⠈⠀⠀⠀⡀⠀⠈⠻⢦⡀⠀⠀⠙⠷⣄⣰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣠⠔⠋⠀⠀⢀⣠⠤⠖⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⣿⡴⠟⠉⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠄⠀⠀⢀⠀⠄⠀ ⡀⠈⠀⠀⠀⠀⠠⠀⠁⠀⠀⢀⠀⠈⠹⢦⡀⠀⠀⠈⢹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣏⣁⡤⠴⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠀⢀⠀ ⠀⢀⠀⠁⠀⠐⠀⠀⢀⠀⠠⠀⠀⠀⡀⠈⠙⢷⣴⠂⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠞⠛⠙⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠘⣿⣁⡀⠀⠀⠀⠀⠠⠀⠀⠈⠀⠀⠀⢀⠈⠀⠀ ⠈⠀⠀⠀⠂⠀⠀⠄⠀⠀⠀⠀⠠⠀⢀⣴⠿⣿⠁⠀⣯⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡻⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣿⠀⠸⡟⠻⣆⠀⠀⠀⠀⠀⠀⠀⠄⠂⠈⠀⠀⠠⠀ ⠁⢀⠀⠁⠀⠐⠀⠀⠠⠐⠀⠁⠀⠀⣾⠳⢦⣧⡀⢀⣿⣿⣿⣟⣶⡶⠤⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⣾⣏⠈⠳⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠤⠴⣶⣛⣻⣭⣷⣿⣀⡼⠗⠋⠹⣇⠀⠀⠀⠄⠀⠀⡀⠀⠠⠐⠀⢀⠀ ⠂⠀⢀⠠⠈⠀⠀⠐⠀⠀⢀⠀⠈⢸⣷⣄⠀⠈⠉⢸⣿⣿⣿⣿⣿⣿⣿⣷⣶⣮⣭⣭⣙⣓⣒⠲⠦⠤⢤⣤⠞⠁⠀⠀⠉⠁⠀⠀⠈⠙⢦⣤⠤⠤⢶⣒⣞⣯⣭⣽⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣠⣴⣿⠀⠀⢀⠀⠠⠀⠀⡀⠄⠀⠠⠀⠀

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⠀⠀⢸⠋⠻⠚⠟⢻⢁⢻⣿⠻⡿⠛⠻⠛⣿⠟⡿⠃⢸⡟⢻⡄⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⢙⣶⣚⡾⠋⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢄⡀⠀⢀⠙⡏⠘⠢⠤⣤⠜⠁⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹ ⠀⠀⢸⠃⠀⠀⡿⠈⠈⠠⣟⠀⠀⠀⠀⠀⠘⠀⠀⠀⣼⠁⠘⣷⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠘⠿⠋⠁⠀⠀⠀⠀⣰⠁⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣣⣀⠀⠀⠈⠳⠀⠄⠡⢤⡏⠉⡿⠅⣀⢠⡍⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⢸⠀⠀⠀⡃⠀⠀⡼⠉⢆⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⡿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣗⠒⠲⡧⠤⣇⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣉⠒⣄⣨⠄⢠⣴⡒⠚⣦⢠⡇⠀⡇⠠⠔⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⢸⠀⠀⠀⡗⢶⡾⣿⣖⡎⢁⡲⠶⠀⠀⢘⡗⠒⣾⡟⣿⣷⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠱⡌⠀⠀⣠⠴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡎⠀⠈⠛⢲⡖⣇⣠⡇⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠸⠀⠀⠀⠀⠀⣰⣶⣦⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⢰⠀⠀⠀⣧⠈⢳⢮⣿⣙⢈⡄⠀⠀⠀⢸⡇⠀⠉⠻⢛⣏⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⡸⠀⢀⡀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠺⡀⠀⠀⢨⠅⠀⠈⠙⢖⠓⢂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠐⠀⠀⠀⠀⠀⠈⡻⡽⢧⣣⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⢨⠀⠀⢸⣽⡀⣾⠶⠁⠀⠉⠙⠂⠀⠀⢸⣷⡀⠀⠀⢸⠂⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢀⣠⠞⠀⠀⠀⣸⣡⠖⠁⠙⡄⢻⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠈⣉⠑⡿⣦⡄⠀⠀⠀⠠⣴⠋⠀⠉⠉⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠠⠀⠀⠀⠀⠀⣠⢹⣷⣀⣳⡳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⢨⠀⠀⢸⣿⢿⠃⠀⣠⡄⠀⠀⠀⠀⠘⠻⡿⠀⠀⠀⣸⣀⡇⠀⠀⠀⠀⠀⠀⣤⣀⠀⠀⠀⡡⠃⠀⠀⠀⠀⠉⠀⠀⠀⠀⠘⠾⠃⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠂⣈⢹⡜⠛⣇⣀⣀⣀⣠⣈⠓⣆⠀⠀⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡰⣩⠋⠀⠀⠈⠙⣙⠂⠀⠀⠀⠀⠀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⢸⠀⠀⡼⣟⣦⠀⠐⠻⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣸⡇⠀⠀⣀⣴⣶⠿⠿⠁⠈⢆⣒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠂⠀⡘⠿⢿⣽⣲⣯⠿⡼⠛⢯⡀⢈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠐⣷⠁⠀⣀⣠⡀⠀⠘⡄⠀⠀⠀⠀⠀⡇⠀⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⢸⠀⠀⢹⣽⡈⠃⠀⠀⠀⠀⠀⠲⠤⠄⢠⢤⠀⠀⢠⡿⠉⠃⠀⠈⡟⠋⠁⠀⠀⣀⡤⠚⢻⠀⠀⠀⢠⠐⢄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠿⣯⠃⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⡠⠂⠁⠀⠀⢰⠀⠀⠀⠀⢹⠆⠀⠉⠑⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠠⠀⠀⠀⠀⠇⠀⡞⡁⠀⠈⢆⠀⢰⠠⠀⠀⠀⠀⡇⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⢸⡆⠀⠀⢻⡓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⢐⡀⡀⠀⠁⠀⠀⢀⣰⠉⠀⠀⠀⠆⠀⠨⢀⠀⠈⠳⠀⠀⠀⠀⠀⠀⠀⠙⠫⢀⣱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⢺⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⣱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢠⡆⠀⡇⠓⣷⠐⢸⠄⢸⠀⠀⠀⠀⠀⡇⠀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠈⠀⡇⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠈⡇⠀⠀⢈⣷⣈⣲⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⢸⠁⠁⠀⣠⠞⠉⠈⠁⠀⠀⠀⠀⡀⠀⠀⠈⠦⠖⠶⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠼⠧⠤⠤⠤⠾⠆⠠⠤⠤⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠰⠀⠀⠀⠀⡇⠀⢳⠀⠀⢀⡜⠀⣨⠀⠀⠀⠀⠀⡃⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠰⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⣇⠀⡄⣾⣍⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⢸⠀⡰⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠐⠀⠀⠀⠀⠰⡀⠀⠑⠀⠋⠀⠀⡍⠂⠀⠀⠀⠀⡇⠀⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣀⡄⠀⠀⠀⠄⠐⠀⢀⣀⠠⣧⠀⢤⠁⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⢺⠀⣧⡽⣻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢇⠀⣾⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠝⠄⠀⠀⠠⠤⠀⠀⠀⠀⠤⠄⠤⠤⠀⠄⠤⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢨⠀⠀⠀⠀⠀⣱⣀⠀⠀⠀⢠⢟⠅⠀⠀⠀⠀⠀⡇⣀⣻⡀⠀⠀⠀⠀⠀⠀⣠⢀⣼⣤⢾⠟⠃⠀⠀⠤⣀⠔⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠸⣷⠇⢣⢻⡝⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣸⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠙⠛⠒⠠⢄⡀⠀⠀⢀⡴⣫⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⠀⠀⠀⠀⠀⠀⠐⠒⣒⡊⠁⠀⠀⠀⠀⠀⠀⠀⡇⠉⢿⠫⣕⠲⢄⡀⠀⢰⣷⣾⣿⣷⣃⢤⣤⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⣏⣿⠈⠛⠿⣝⡳⠤⣄⣴⣆⣀⣠⠴⣺⠛⢻⠁⠸⢻⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⡴⠒⠻⡍⣹⣿⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣾⣀⣠⣷⣴⡙⠳⣯⠺⠹⠡⠏⢃⣚⡁⢦⣶⠶⡷⣞⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⣿⠚⡾⠀⠀⠀⠉⠑⠒⠶⠶⠶⡶⠛⠁⢀⡿⣄⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠹⣄⠀⠘⠦⣅⣈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣄⡀⡀⠀⢠⣷⣾⣿⠿⢿⣿⠛⠃⠀⠀⠀⠀⠀⡴⡿⠛⢿⠶⡉⡿⠖⠿⣍⣢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⣀⣠⣴⠧⢤⣀⡀⠀⠀⠀⠀⢠⠊⠁⠀⡔⢉⣤⡼⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⠿⢾⠛⣦⣤⣄⠀⣀⣀⣀⣀⣄⣀⣀⣠⣴⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠨⠳⢄⡀⠀⠀⡿⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⣿⡟⢻⣿⣿⣿⣿⡏⠀⣽⣴⣯⣶⣦⡶⠀⠀⠀⠀⠀⠙⡶⡄⣸⠸⡿⠙⠓⢬⣽⡳⣤⠀⣠⣀⣀⣀⣀⣀⣀⣀⣀⢀⣸ ⢠⠖⠋⠁⠀⢠⢋⡗⣦⣼⠆⠀⣠⠚⠀⠀⡠⠊⢰⣿⣿⣻⡍⠀⠀⠀⠀⣠⣤⣶⣶⠾⠿⢿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢶⣖⣶⣾⡵⠚⠉⠉⠉⠋⠙⠛⠦⣝⠲⣄⠀⠀⠀⠀⠀⠀⠈⠉⠛⢯⡙⠳⣄⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⡀⠀⠈⠉⠉⠁⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣙⡶⣷⡿⠋⢹⠐⡇⠀⣾⣿⣿⣾⣿⣅⣀⣤⣀⣦⣼⣾⣾⣿⣓⡾⠁⠀⠀⠈⠣⡉⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⡎⠀⠀⠀⢠⢏⡟⢀⣾⠤⠋⠈⠀⢀⠔⠊⠀⠀⢸⠀⠘⢷⣱⡄⠀⠀⢺⡉⠻⠤⣀⣀⣤⣥⣌⣉⣉⣉⣉⣭⣹⣦⣄⣠⢾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣌⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡞⠓⣄⠀⠀⠀⠀⠀⠀⠀⢸⣏⣦⣄⡀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠇⠉⠀⢸⠀⡇⠀⡷⢿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢯⣹⣾⣿⡠⣀⠢⣀⠀⠀⣽⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢁⠀⠀⢸⡏⡸⠀⠘⡅⠀⢀⡰⠊⠁⠀⠀⠀⠀⣿⠀⠀⠈⢻⡵⡄⠀⠈⣿⠒⢾⣥⣤⡬⢭⣭⣭⣽⣿⣯⣭⣭⣯⡗⢷⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣦⡽⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⢾⣆⠀⠀⢀⣠⣴⣶⢿⣿⡿⠭⠽⠶⢦⣤⣄⣤⣞⡲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢧⠉⢻⠀⡇⠀⢹⣿⣏⣟⣙⣿⣿⡿⣿⣧⣾⣽⣛⠏⡗⢩⣿⡿⣿⡗⠂⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢆⢀⡾⢰⠇⠀⠀⠈⠫⡙⢳⡒⠒⠖⢒⣾⡉⡇⠀⠀⠀⠀⠑⣞⢦⠀⣿⢢⣿⣻⡇⠀⠀⠀⠀⢠⡟⢳⠀⠀⣸⢯⠟⠀⠀⠀⠀⠀⢴⢿⡳⡄⠀⠀⠀⠀⠀⠀⠻⣄⡄⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⢹⣦⢤⣼⡟⠧⣄⣼⣿⣇⣦⠀⠀⠀⡀⣀⣀⣨⡤⢛⣿⣤⢤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⢀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣎⣁⣸⠀⡇⠀⢈⠀⢳⣸⡿⢻⠧⣿⠛⠷⣿⣭⡥⠞⠁⢈⣶⠟⠘⢳⡀⠀⠀⠘⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢿⡿⡟⡆⠀⠀⠀⠀⠈⠢⣌⠻⡉⠉⡏⢼⠇⠀⠀⠀⠀⠀⣸⠛⢳⣿⡌⠻⡾⠃⠀⠀⠀⠀⠘⢷⡟⠀⢠⣿⡏⠀⠀⠀⠀⠀⠀⠈⠳⡄⠘⢦⡀⣴⣦⣀⠀⠀⠘⡏⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⢿⣄⢠⡟⠒⠂⢼⣿⡯⠭⠭⣭⣭⠭⣭⡿⠟⠚⣿⣧⠈⠉⠉⣩⣼⣿⠀⠀⠀⠀⠀⠀⡿⠀⢬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠸⠀⢼⠉⠹⡇⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣠⣄⣠⣄⣈⣑⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⢰⡿⣀⡅⢘⠦⣀⠀⠀⠀⢠⠈⠳⣨⣿⢠⠏⠀⠀⠀⠀⠀⢀⡇⡞⣿⣿⠁⠀⡇⠀⠀⠀⠀⠀⠀⢸⡏⠀⣼⢽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⢶⠈⠉⢠⠞⠁⠀⠀⠠⢹⡀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠈⡏⠉⣿⠀⠀⢸⣿⠆⠀⠀⠀⠀⠀⢸⠇⠀⠀⣿⠩⠽⢿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢼⠀⣮⣄⣀⡀⠀⠀⠀⣀⣤⣶⣶⣾⡄⠀⠀⠀⣠⠖⠉⢠⠃⠈⢮⣝⣻⣥⣄⣀⠀⠀⠀⠀⠀ ⠀⠈⣇⣧⣹⡘⣷⣶⣃⣠⣴⣋⠀⠀⢙⣌⣏⠀⠀⠀⠀⠀⣠⢟⡿⣵⣟⣿⠀⢀⡏⠀⠀⠀⠀⠀⠀⢸⡇⠀⡿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢃⡀⠀⢣⡀⠀⠀⠀⠀⣇⣼⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠓⢻⣸⣏⣒⠒⣿⣿⡶⠤⠤⠤⠤⢤⡾⢶⣦⣾⣻⡆⣠⣤⣴⣵⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣼⣶⢻⣭⣿⣷⣶⣶⣿⣿⠿⠿⠛⠛⠀⢀⣴⠟⠀⠀⠀⡞⠀⠀⠀⠳⡌⠉⠉⠉⠳⣄⠀⠀⠀ ⠀⠀⠙⠿⣧⣳⣼⣆⣌⣀⣄⣰⠃⢀⠞⣸⡚⡄⠀⠀⠀⠀⠈⢿⣡⠮⠸⣿⢀⣼⢷⡄⠀⠀⠀⠀⠀⣸⣗⢸⡓⢼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠿⣦⠜⠙⢦⣀⠙⣦⡀⠀⢰⡟⠌⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⣴⠿⠷⠛⠋⣻⣿⡗⠲⡶⡶⠖⠺⢿⠻⠋⠉⠙⡂⠀⠀⢈⣿⣷⠂⠀⠀⠀⠀⠀⠀⠠⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠸⣦⣵⣼⣧⣽⣯⣿⣿⣏⠀⠀⠀⠀⣠⣖⠝⠁⠀⠀⠀⣀⢹⠀⠀⠀⠀⢩⣳⣄⠀⠀⠈⢣⠀⠀ ⠀⠀⠀⢀⡷⣬⠴⠤⠤⠤⠤⢀⣇⡌⣠⠋⡄⡇⠀⠀⠀⠀⠀⠈⠁⠀⠀⣿⠀⢻⣼⠃⠀⠀⠀⠀⢹⡅⢸⠘⡷⢾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠻⣿⠿⠀⠀⠻⣧⣲⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⡻⠀⠀⠀⠀⣿⣿⡇⢠⡇⠔⠀⠀⠈⢇⠀⠀⠀⠑⠀⠒⠚⡤⠇⠀⠀⠀⠀⠀⠀⠀⠰⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠀⡿⢿⣭⣀⣉⣀⣀⡿⢿⣇⠀⣠⢞⠗⠁⠀⠀⠀⠀⣸⢹⠟⡇⠀⣶⢄⠈⢣⡀⠀⠀⠀⢀⡇⠀ ⠀⠀⠀⠀⣷⣤⣤⠤⠤⢤⠤⢤⡿⡵⠁⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠛⡛⠧⠤⠤⠄⠤⣤⣤⣿⣯⣤⣿⣻⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⣸⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⡇⠀⠀⠀⠀⣾⣿⠂⠐⡇⡥⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⢘⣹⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⢠⣇⠒⠓⠒⠆⠈⣸⣧⣸⣽⣾⠕⠁⠀⠀⠀⠀⡠⢴⡇⡜⡄⣧⣤⢽⡃⠑⢄⡳⡄⠀⠀⠀⢹⣾ ⠀⠀⢀⣘⣷⠶⠾⠲⠤⠠⣤⣾⡿⠁⡰⠛⢇⠀⡀⡀⣀⣀⣀⣀⣀⣀⣀⡈⠙⡗⡶⠤⡤⠤⠤⠴⢾⣿⣿⣥⢼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠃⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡏⢰⡃⠀⠀⠀⠠⣿⣿⠣⢌⡗⡏⠠⠤⠀⢠⡗⠃⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⢺⠀⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠩⠯⣉⣙⣩⣿⣿⣳⣌⣙⠛⢳⣆⠀⠀⢐⡻⢿⣿⡾⠁⢣⢹⠟⠛⢧⠀⠀⠈⠉⠀⠀⠀⠀⣿ ⠀⠀⠈⠿⠿⠷⠤⠤⠴⡶⠿⠿⣶⣦⣀⣴⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⣠⠜⣳⠇⠀⠀⠀⠀⠀⠀⢠⣿⣷⡀⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢀⠇⠁⠀⠀⠀⠀⠀⠀⠀⠀⡾⢠⣿⣇⠀⠀⠀⠀⢿⣿⡅⠈⡷⡯⠀⠀⠀⠀⢻⡥⢀⠀⠀⢠⣿⡗⠀⠤⢤⣀⠀⠀⠀⠀⢸⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣿⡟⠒⠲⠦⠤⠄⣸⠛⢦⡬⢭⣄⣠⣾⣷⠾⣅⣠⡎⡴⠃⠀⢸⣼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⣤⣎⣡⣤⣠⣿⣿⣿⣿⣿⠛⠋⠁⠀⠀⠀⠀⠀⠀⢸⠧⡟⠁⠀⠀⠀⠀⢀⣤⠴⠋⢹⣿⣏⠙⣷⠿⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠾⡷⣾⠀⠀⠀⠀⠀⢰⣶⣄⣀⣾⣡⣾⣿⣧⡤⢤⣤⣤⣿⢯⠀⣠⣿⣷⣬⣁⣄⣠⣈⣩⣿⣟⣿⠋⠁⠀⠀⠀⠀⠀⠉⠑⠒⠤⠹⢆⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⠶⣏⡓⠒⠒⠢⠤⣿⣤⣤⣽⣿⣿⡿⠛⠋⠙⠒⠶⠚⠁⠀⠀⠀⡀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ 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🕊 ˚✧ ₊˚ʚ🕊 ˚✧ ₊˚ʚ🕊 ˚✧ ₊˚ʚ

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