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⣿⠿⠿⠿⢿⣿⡿⠿⢿⣿⣿⠟⣫⣾⣿⣿⣿⣿⣤⡾⠛⠉⠉⠉⠴⠖⠀⠀⠀⢀⣬⠟⠉⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠉⠉⠙⠿⣷⡶⠯⠭⢽⣭⣿⣟⣿⢿⣿⣿⣿⣿⣿⣿
⢄⠀⠾⢛⣩⣽⠟⠛⠛⠿⣶⣾⣿⠻⣿⣿⣿⣴⣿⠀⠀⠺⣷⠀⠀⣴⢰⠄⠀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡉⠉⠉⠙⠻⠿⠟⠻⢶⣭⣛⠿⣿⣿
⣧⣴⡿⠛⠛⠀⠀⠀⠀⠀⣸⣿⣇⣄⢹⣿⡿⢫⣤⠄⠀⠀⠀⡀⠀⢀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣦⣀⣀⣀⠀⠀⠀⠙⣿⣄⠀⠀⢀⣠⣤⡶⣦⣬⣉⠛⢾⣝
⠉⢀⠔⠂⠀⣀⣀⣀⡀⣰⣿⣿⣿⣿⣿⣿⡇⢸⣿⡀⠲⢶⠄⠀⠀⠀⠀⠀⠀⢤⠀⠀⠀⠀⠀⠀⣀⣠⣤⡶⠾⠟⠛⠋⠉⠉⠛⢷⣦⣷⠀⠘⣿⠷⠞⠋⠁⠀⣠⣴⣮⣭⣤⣤⡍
⠀⠈⣠⡀⠸⡟⠁⠉⠙⢻⠟⠉⠉⠉⠛⠿⢷⣤⣜⠿⠷⠆⣴⣾⣦⠀⠀⠤⠀⠷⠄⠀⣀⣤⠾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣤⣿⠀⠀⠀⢀⣼⡿⣿⣿⡿⠉⠁⠀
⠄⠀⠈⠻⠦⢻⣆⠀⢠⡞⠃⠀⣀⠀⠀⠀⠀⠀⠙⠳⣤⣴⣆⠁⠀⠐⣀⣡⣤⣴⠾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣟⣹⡇⠀⠀⢠⣿⣏⣾⠟⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠹⣦⡾⠁⠀⠀⠈⠳⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⠀⢸⣿⣿⠃⠀⢀⣿⣿⡟⣗⠀⠀⠀⠴⠀⠀
⠀⠀⠀⠀⠀⠀⣐⣿⣄⠀⢠⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣶⣿⣿⠛⠁⠀⢸⣿⡟⠀⣠⣾⡿⠋⢰⠟⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣴⣾⣿⣿⣿⣿⣇⠈⢻⣿⣷⣶⣦⣤⣤⣤⣤⣤⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⠿⠿⠿⠿⣿⣿⣿⠿⠿⢿⣿⣿⣿⡿⠁⠀⠀⢠⣿⣿⠁⣴⡿⠋⡄⢠⣿⠀⠀⠀⠀⠀⠀⠀
⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣭⣭⣍⣛⢻⣿⣿⣿⣿⣿⣯⣵⣶⣶⣶⣾⣶⣶⣶⣤⡀⠀⠀⢸⣿⣿⠃⠀⠀⢀⣾⣿⠃⣼⣿⡵⠟⠀⣾⠟⠰⡄⠹⣦⡀⠀⠀
⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠸⣿⣿⣿⠟⠉⠉⣽⣿⣿⣛⣿⣿⣿⣿⣿⣿⠿⠛⣿⣿⣿⣭⣵⡄⠈⠙⣿⣶⣄⣸⣿⠃⠀⣠⣶⠿⠿⠷⣴⠟⠁⠀⠀⣰⡏⠸⢦⣽⣦⡘⢿⣤⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠀⠘⣿⣿⡄⠀⠀⠻⢿⣿⣿⡿⠁⠉⣿⣿⣇⠀⠀⠘⠿⠿⠿⠿⠁⠀⠀⣼⣿⣿⠟⠁⣠⡾⠟⠁⠀⠀⠀⠀⠀⠀⠠⣾⣿⣧⣤⣄⣉⢋⠁⠀⠹⣦
⣿⣿⣿⣿⣿⣿⠟⠁⠉⠙⠶⠶⣄⣈⣻⣿⣦⣀⠀⣀⣀⣀⡴⠶⠞⠛⠋⠙⠛⠶⠶⠶⠦⢄⣤⣀⣤⡾⠿⠛⠁⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣷⠟⠋⠉⠁⠀⠀⠀
⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠉⠉⠉⢉⣀⠀⠀⠀⠀⠀⠀⣀⣭⣡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢸⣿⣶⣤⣀⣧⣴⣶⣤⣴
⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⠟⠳⠀⠀⠀⠀⠘⠛⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠃⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⢠⣿⣿⣿⣿⣿⣿⣯⣀⡈⣹
⣿⣿⣿⣿⣿⣿⡀⠈⠙⢶⡀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⢠⣿⣿⣿⣿⣿⣿⣿⣭⣽⣿⣿
⣿⣿⣿⣿⡿⠛⢡⡄⠀⠈⢷⡄⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠃⢠⠚⣷⡀⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⢀⡾⠁⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⡀⢺⠀⠹⣿⡄⠀⢽⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⢋⣠⠟⠁⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣧⢸⣆⠀⠸⣿⣄⠘⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⠟⢉⣴⡿⠋⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣧⣿⣿⡄⡝⠀⠀⠹⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⡿⠟⠋⣠⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠻⣿⣿⣿⠖⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣿⡿⠟⠛⠁⢀⣠⣾⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿
⢻⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⢈⡛⠛⠿⠿⣿⣿⡷⠶⣶⣶⣶⣦⣤⣴⣶⣶⣶⣾⣿⠿⠟⠛⠉⠉⠀⠀⢀⣤⡶⣛⣵⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠙⠷⣤⡄⠈⠉⠉⠓⠦⠤⠤⠖⠛⠛⠒⠋⠉⠀⠀⠀⠀⠀⢀⣠⣴⠾⠋⣁⣾⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠙⠿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣶⡿⠛⠉⢁⣤⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⡿⠁
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⠀⠉⠛⢻⣿⣶⣶⣶⣶⣶⣿⣟⡛⣻⣿⣿⣿⣤⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⠋⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣾⣿⠃⠀⠉⠙⠛⠛⠛⠛⠛⠛⠛⠋⠉⡀⠀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣿⣿⣿⣿⣷⡀⠀
⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚫⚫⚫⚫⚫⚫⚫⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚫⚫⚫🌸🌸🌸🌸🌸🌸🌸⚫⚫⚫⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚪⚪⚪⚪⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚫⚪⚪⚪⚪⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚪⚪⚪⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚫⚪⚪⚪⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚪⚪⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚫⚪⚪⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚪⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚪⚪⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚪⚫🌸🌸🌸🌸⚫⚫🌸🌸🌸🌸🌸🌸🌸⚫⚫🌸🌸🌸🌸🌸🌸⚫⚪⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚫🌸🌸🌸🌸⚫⚫⚫⚫🌸🌸🌸🌸🌸⚫⚫⚫⚫🌸🌸🌸🌸🌸⚫⚪⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚫🌸🌸🌸🌸⚫⚪⚪⚫🌸🌸🌸🌸🌸⚫⚪⚪⚫🌸🌸🌸🌸🌸🌸⚫⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚫🌸🌸🌸🌸🌸⚫⚪⚪⚫🌸🌸🌸🌸🌸⚫⚪⚪⚫🌸🌸🌸🌸🌸🌸⚫⚫⚪⚪⚪⚪
⚪⚪⚪⚪⚫🌸🌸🌸🌸🌸⚫⚫⚫⚫🌸🌸🌸🌸🌸⚫⚫⚫⚫🌸🌸🌸🌸🌸🌸⚫🌸⚫⚪⚪⚪
⚪⚪⚪⚫⚫🌸🌸🌸🌸🌸⚫⚫🔵⚫🌸🌸🌸🌸🌸⚫⚫🔵⚫🌸🌸🌸🌸🌸🌸⚫🌸⚫⚫⚪⚪
⚪⚪⚫🌸⚫🌸🌸🌸🌸🌸⚫🔵🔵⚫🌸🌸🌸🌸🌸⚫🔵🔵⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚪
⚪⚪⚫🌸🌸🔴🔴🔴🔴🌸⚫🔵🔵⚫🌸🌸🌸🌸🌸⚫🔵🔵⚫🌸🔴🔴🔴🔴🌸🌸🌸🌸🌸⚫⚪
⚪⚫🌸🌸🌸🔴🔴🔴🔴🌸🌸⚫⚫🌸🌸🌸🌸🌸🌸🌸⚫⚫🌸🌸🔴🔴🔴🔴🌸🌸🌸🌸🌸🌸⚫
⚪⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚫⚫⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫
⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫🌸⚫⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫
⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫🌸🌸⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫
⚫🌸🌸⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫🌸⚫⚫⚪
⚫⚫🌸🌸⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚫⚫⚫⚪⚪
⚪⚫⚫⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚪⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚪⚪⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚪⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚫⚫⚫⚪⚪⚪⚪
⚪⚪⚪⚪⚪⚫⚫⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫🔴🔴🔴⚫⚪⚪⚪
⚪⚪⚪⚪⚫🔴🔴🔴⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫🔴🔴🔴🔴🔴⚫⚪⚪
⚪⚪⚪⚫🔴🔴🔴🔴🔴⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫🔴🔴🔴🔴🔴🔴🔴⚫⚪
⚪⚪⚫🔴🔴🔴🔴🔴🔴🔴⚫🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸🌸⚫⚫🔴🔴🔴🔴🔴🔴🔴🔴🔴⚫
⚪⚫🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴⚫⚫⚫⚫⚫⚫⚫⚫⚫⚫🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴⚫
⚪⚫🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴⚫⚪⚪⚪⚪⚫🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴⚫
⚪⚫🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴⚫⚪⚪⚪⚪⚪⚫⚫🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴⚫
⚪⚫⚫🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴⚫⚫⚪⚪⚪⚪⚪⚪⚪⚫🔴🔴🔴🔴🔴🔴🔴🔴🔴⚫⚪
⚪⚪⚫🔴🔴🔴🔴🔴🔴🔴🔴🔴🔴⚫⚫⚪⚪⚪⚪⚪⚪⚪⚪⚪⚫🔴🔴🔴🔴🔴🔴🔴⚫⚫⚪
⚪⚪⚪⚫⚫⚫⚫⚫⚫⚫⚫⚫⚫⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚪⚫⚫⚫⚫⚫⚫⚪⚪⚪
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⠟⠉⠉⠻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠿⠉⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⡿⠛⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡿⠟⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣶⣶⣦⣤⣤⣄⡀⠀⢀⣠⣾⣿⠿⠋⠀⠀⠀⠀⠀⣠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠶⠞⣿⠟⠋⠉⠉⠙⣻⠿⢿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⢀⡼⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⢠⡞⠁⠀⠀⠀⢀⡴⠋⠀⢀⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⢠⠏⠀⠀⠀⠀⣰⠏⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡥⠤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣇⠀⣠⡏⠀⠀⠀⠀⣼⠁⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣄⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡶⠋⠀⠀⠀⠀⢸⣧⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⣾⡿⠿⣿⡿⠁⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳
⠀⠀⠀⠀⠀⠀⢀⣾⠿⠛⢿⣿⣷⣄⡀⣿⠃⠀⠈⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣠⣤⣦⣼⣿⠀⠀⠀⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀
⠀⣠⣾⡿⠋⠉⠉⠁⠀⠀⠀⠀⠉⢯⡙⠻⣿⣿⣷⣤⡀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡿⠃⢀⡤⠖⠋⠉⠉⠉⠉⠉⠉⠒⠦⣄⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀
⣾⣿⠋⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠙⢦⣄⠉⠻⢿⣿⣷⣦⡀⠀⠈⠙⠛⠛⠋⠀⢰⠟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀
⣿⡇⠀⠀⠀⣴⠟⣫⣿⣿⣄⠀⠀⠀⠀⡶⢌⡙⠶⣤⡈⠛⠿⣿⣷⣦⣀⠀⠀⠀⠀⡇⠀⢻⣄⠀⠀⣠⢷⠀⠀⠀⠀⠀⡶⠀⠘⡆⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀
⣿⡇⠀⠀⢸⣟⢸⣿⣿⣿⣿⠀⠀⠀⠀⡇⠀⠈⠛⠦⣝⡳⢤⣈⠛⠻⣿⣷⣦⣀⠀⠀⠀⠀⠈⠙⠋⠁⠀⠛⠦⠤⠤⠚⠁⠀⠀⢳⠀⠀⠀⠈⠛⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀
⣿⡇⠀⠀⠈⢿⣞⣿⣿⣿⠏⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠙⠳⢬⣛⠦⠀⠙⢻⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡇⠀⠀⠀⠀⠉⠛⠋⠁⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⣿⠉⢻⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡇⠀⠀⠀⠀⠀⣠⣄⠀⠀⢰⠶⠒⠒⢧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡇⢸⡟⢿⣷⣦⣴⣶⣶⣶⣶⣤⣔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡇⠀⠀⣤⠀⠀⠿⠿⠁⢀⡿⠀⠀⠀⡄⠈⠙⡷⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡇⢸⡇⠀⣿⠙⣿⣿⣉⠉⠙⠿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡇⠀⠀⠙⠷⢤⣀⣠⠴⠛⠁⠀⠀⠀⠇⠀⠀⡇⢸⡏⢹⡷⢦⣄⡀⠀⠀⠀⣿⡀⢸⡇⢸⡇⠀⡟⠀⢸⠀⢹⡷⢦⣄⣘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠢⣤⡀⠀⠀⠀⠀⠀⠀⣠⠾⣿⣿⡷⣤⣀⡇⠸⡇⢸⡇⢸⠉⠙⠳⢦⣄⡻⢿⣾⣧⣸⣧⠀⡇⠀⢸⠀⢸⡇⢤⣈⠙⠻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢹⣿⣷⣌⡉⠛⠲⢶⣶⠖⠛⠛⢶⣄⡉⠛⠿⣽⣿⣶⣧⣸⡇⢸⠀⠀⠀⠀⠈⠙⠲⢮⣝⠻⣿⣷⣷⣄⣸⠀⢸⡇⠀⠈⠁⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠙⠻⢿⣷⣶⣤⣉⡻⢶⣄⣀⠈⠙⠳⢦⣈⡉⠻⢿⣿⣷⣾⣦⡀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢭⣛⠿⣿⣷⣼⡇⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀
⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣷⣶⣽⣻⡦⠀⠀⠈⠙⠷⣦⣌⡙⠻⢿⣟⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢯⣻⡇⠀⠀⠀⠀⠀⢸⣿⠀⣀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⢀⡏⠙⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⣿⣿⣶⣤⣤⣤⣀⣈⠛⠷⣤⣈⡛⠷⢽⡻⢶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠳⢤⣀⠀⠀⢸⣿⡀⠈⠳⢤⣀⣀⣰⠃⠈⠛⠶⠶⠿⠃⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⡿⠛⠉⠙⠛⠛⠻⢷⣦⣄⣩⣿⠶⠖⠛⠛⠛⠛⠛⠛⠿⢷⣶⣦⣄⠀⠀⠀⠀⠉⢻⣶⣿⣿⠇⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⠋⠀⠀⠀⠀⠀⣠⠖⠂⠀⠀⠀⠈⠙⠿⣿⣦⡄⠀⠀⣸⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣰⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣶⣄⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠙⢿⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⠦⠠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⠤⠄⠙⡿⠿⠦⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
✧ʕ̢̣̣̣̣̩̩̩̩·͡˔·ོɁ̡̣̣̣̣̩̩̩̩✧
🖤🦇🥀⛓ 🖤✟✖️🕷⛧🕸🔗🦇🥀⚰️☠️🔪⸸ 🥀💔😥😔⛓⛓️🖤😈🖤🔪💘🏴☠️ 🖤✟✖️🕷🕸🔗🦇🥀⚰️☠️🔪⛓🪦 🖤⛓🚬💀♠️ 🖤🔫⛓️🔪 ⛓☹🖤🕸⛓ 👹💀😭💅🖤⛓🩸♥🕸️🔗⛓🕸♡♡