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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⠿⠟⠛⠛⠛⠛⠛⠿⢷⣶⣤⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣴⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣷⣄⠀⠀⠀⠀
⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡄⠀⠀
⠀⢀⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣆⠀
⢀⣾⡏⠀⠀⣀⣠⣤⣴⣦⣤⡀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡆
⢸⣿⠀⠶⠛⢛⣭⣭⣤⣈⠉⠃⠀⠀⠀⠀⠘⢿⣷⣦⣄⡀⠀⠀⠀⠀⢻⣿
⣿⡏⠀⠀⣴⠏⠁⠀⠈⠙⣧⠀⠀⠀⠀⠀⠀⣾⠋⠙⠛⠻⢿⣶⠶⠆⢸⣿
⣿⡇⠀⠀⣿⠀⢰⣿⡧⠀⣿⠀⠀⠀⠀⠀⢸⡇⠀⣾⣿⡆⠀⣿⠀⠀⢸⣿
⢹⣿⠠⠀⠙⣧⣄⣉⣁⣴⠏⠀⠀⠀⠀⠀⠀⠻⣦⣈⢉⣠⡼⠃⠀⠀⣸⣿
⠘⣿⣆⠡⡀⠀⠉⠉⠉⠀⠀⠀⠀⣀⣀⣀⠀⠀⠈⠉⠉⠉⠀⠀⠀⢠⣿⡏
⠀⠹⣿⣆⠈⢄⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀
⠀⠀⠘⢿⣧⡀⠀⠢⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢂⣵⣿⠟⠀⠀
⠀⠀⠀⠈⠻⣿⣦⣄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣀⣴⣿⡿⠋⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠙⠿⣿⣶⣦⣤⣄⣀⣀⣀⣤⣴⣶⣿⡿⠛⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
💎💙🌊🌌🧊🌀🔵🐬🦋🌠🧿💦💧📘🌐⛲🐳🔹🐟🌃🟦🌧️🌨️🫐📖🧢🔷🥶🐋💤🧵🌧️💎💙📨💎🌊🌌🆒🦈🌏♿🌨🆓🥣👔🦕🔽👖👤👥🔃⬇️✈️🌐🖱️🌊🐚🎏🧺🌀🌊💎🚰❄🇫🇲⚗📥🌦️🛏️⤵️🇲🇩🇳🇮📤📧📪🇬🇹🇪🇪🏴🇹🇩🇪🇺
⠉⠉⠉⠉⠉⠉⠉⠉⠉⣉⠭⠛⠩⢍⠉⠉⠉⠉⢉⣉⣉⡉⠉⠉⠉⠉⠉⠉⠉⠉
⠀⠀⠀⠀⠀⠀⠀⠀⡜⠁⣶⡶⠒⠀⣱⠀⠀⢞⠁⠠⣤⣈⠲⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⡇⠘⠁⢀⠄⠊⠁⠀⠀⠈⠢⡀⠙⢿⡀⣁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⢔⠈⢀⠜⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⢈⣀⡋⠀⠀⠀⠀⠀⠀
⡇⠀⠀⠀⡎⢾⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⡄⠀⠀⠀⠀
⡇⠀⠀⠀⣿⡈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣰⠀⠀⠀⠀
⡇⠀⠀⠀⢰⢃⠘⢇⠈⠒⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠔⠋⡿⠀⠀⠀⠀
⡇⠀⢀⡠⠐⣋⠀⠈⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀
⣇⣪⡥⡴⠊⠁⡇⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠺⠋⠔⢁⠀⠀⠀
⠇⠁⠀⠀⠀⠀⣿⠐⢕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠚⠀⢀⠠⠂⠁⠀⠀⠀
⠀⠀⢀⠀⠀⠠⢿⡆⠈⢎⠀⠀⠀⠀⠀⠀⠀⠀⡠⢫⠃⠀⢰⡅⠀⠀⠀⠀⠀⠀
⠀⠐⠀⠀⠀⠀⠈⢷⠀⠀⠁⠀⠀⠀⠀⠀⠀⣠⠁⢸⠀⠀⠀⠺⡀⠀⠀⠀⠀⠀
⠁⠀⠀⣀⠠⢤⠀⠀⠣⢄⣀⠀⠀⠀⠀⠀⠸⠁⠀⠆⡇⠀⠀⠀⢁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠈⡄⠀⠀⠀⠀
⠀⠀⠀⠀⡜⠀⠀⠀⡠⢤⠀⠀⠀⢀⠀⠀⠀⣿⣦⣀⠀⢣⠀⠀⠀⢠⠀⠀⠀⠀
⠀⠀⠀⡘⠀⠀⡠⠊⠀⢸⠀⠀⠀⡜⣇⠀⢰⢿⠁⠈⠉⠺⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣰⠁⡠⠊⠀⠀⠀⢸⠀⠀⢠⠁⢺⠀⡆⠈⢧⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢩⠊⠀⠀⠀⠀⠀⢸⠀⢀⠃⠀⢸⡆⣇⣴⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢠⠊⠀⠀⠘⢳⣿⠟⠀⠘⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢸⡇⠀⠀⡀⠀⣲⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣛⣠⣴⣶⣏⣉⣀⣀⣀⣀⣀⣀⣀⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠸⠀⠀⠀⣀⣠⡄⠀⠀⠀⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⡶⠛⠛⠛⠟⢂⣶⣆⡀⠀⠇⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⢀⣴⣿⠛⠛⢩⠇⠀⠀⠀⠀⠾⡇⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢰⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣠⠞⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⡆⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡉⠁⠀⣰⡟⣣⠶⠛⠙⢻⣦⠀⠀⠀⠀⠀⢀⣴⠶⠚⠳⣾⣿⡀⢠⠒⠲⡄⢀⣀⠀⠀⠇⢰⠀⠀
⠀⠀⠀⠀⠀⠀⠄⢡⠀⢠⡿⣿⠋⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⢸⠃⠀⠀⠀⠈⣿⣇⢸⡀⠀⠙⠉⠀⢹⠀⠰⠈⠀⠀
⠀⠀⠀⠀⠀⠀⢠⠀⠀⣼⣼⠇⠀⣰⣾⣶⠀⢀⣿⢂⣠⣄⣀⣼⡄⢰⣿⣶⡄⠸⣿⡀⢣⡀⠀⢀⣠⠎⠀⠒⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡆⢠⣿⡿⠀⠀⢿⣿⠟⠀⢸⣿⡏⠁⠀⢙⣿⡇⠈⢿⣿⠇⠀⢻⣧⠀⠳⠖⠋⠀⠀⠀⠀⠀⠰⠀
⡴⠉⠉⠓⠒⠒⠤⣄⡸⣿⣧⠀⠀⠀⣤⡄⠀⠀⠙⠿⠿⠿⠿⠋⠁⠀⠀⣤⡀⠀⣸⣿⣀⡤⠔⠒⠚⠉⠉⠳⡀⠀⠃
⢧⠀⠀⠀⠀⠀⠀⠀⠉⣻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠋⠁⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀
⠘⢆⠀⠀⠀⠀⠀⠀⠈⣟⠙⠛⠷⣦⣄⣀⡀⠀⠀⢀⣀⠴⣲⢤⣀⣀⣠⣴⠾⠻⣿⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀
⠀⠈⢦⡀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠈⠉⠋⠉⠉⠉⠉⠀⠀⠀⠀⣿⠉⠀⠀⠀⣸⢿⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀
⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⢧⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠙⣲⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡒⠊⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡀⠀⡴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡜⢀⡇⠀⠀⠀⠀⢠⠴⢤⣠⠴⠶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠖⢻⣀⣀⣒⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡜⠀⠀⡇⠀⠀⠀⢠⠃⠀⡆⠀⠀⠀⠉⠉⣷⠀⠀⠀⠀⠀⠀⠀⢀⡎⠀⢀⠀⠀⠀⠿⣧⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣧⠀⠀⠹⡄⠀⠀⢸⠀⠀⡇⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢸⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠘⠳⠤⠤⣹⣦⡀⠸⡄⠀⠹⡄⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠸⠀⢀⠼⠁⠀⢱⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠦⣄⣁⣀⣤⠾⠓⠒⠉⠉⠀⠀⠀⠉⠉⠑⠛⠢⠤⠴⠋⠀⠀⠠⠘⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠒⠋⠉⠛⠒⠦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠖⠋⠟⠉⠉⠉⠓⢤⣄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣴⠊⠁⠀⠀⠀⠀⢀⡀⠀⠀⠉⣶⠀⠀⣀⣀⣀⡀⢀⣀⣀⣴⠋⠀⠀⠀⠀⠀⢀⣀⠀⠀⠈⠱⢄⡀⠀⠀⠀
⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⣴⣿⣿⣿⣿⣷⣀⠈⠋⠉⠁⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⣿⣦⡄⠀⠈⢳⠀⠀⠀
⠀⠀⠀⠰⡏⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⡄⠀⢺⡇⠀⠀
⠀⠀⠀⠈⣧⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⠇⠀⠀⠘⠳⡶⢞⠫⣍⠹⠳⠶⣦⠶⠀⠈⢿⣿⣿⣿⣿⣿⡿⠀⠀⣼⠆⠀⠀
⠀⠀⠀⠀⠘⢦⡴⠀⠀⣀⠉⠙⠛⠛⠛⠁⢠⡀⠀⠀⠀⣟⠤⡓⠬⡱⣉⠖⣿⠀⠀⠀⠀⠉⣛⠛⠛⣋⡀⠀⠀⣾⠂⠀⠀
⠀⠀⠀⠀⣰⠏⠁⠀⠀⠘⣆⠘⢦⡀⠶⡄⢨⠹⡄⠀⠀⣿⠢⡝⢢⠱⣌⡚⣷⠀⠸⡏⢲⡀⢌⠳⣄⢠⠙⣄⠸⢿⠀⠀⠀
⠀⠀⠀⢰⡃⠀⠀⠀⠀⠀⠘⣆⡌⢳⣲⠙⢬⡅⢻⡀⠀⢻⡅⢇⣣⠟⣤⢛⡯⠀⠀⢳⠀⠹⣜⣆⠘⢦⣇⠈⢣⠘⣧⠀⠀
⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠙⠀⠀⠀⠀⠉⠀⠘⢯⣎⣵⢫⣴⡿⠁⠀⠀⠈⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠻⣦⠀
⠀⢠⡯⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀
⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⡄
⠰⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯
⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋
⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⠏⠀
⠀⠀⠀⢳⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀
⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠓⢧⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⠦⠶⢤⣀⣤⣤⣀⣀⣀⡤⢀⣀⣠⣤⡤⠴⠖⠖⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
🍑 👖 🍆💦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠤⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀
⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀
⠀⠀⠀⠰⠁⠀⠀⠀⠀⠀⠀⡠⠖⠉⠉⠉⠙⢿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠁⠀⠉⠑⢢⡀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀
⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⡜⠁⠀⣠⣤⣤⡀⠀⠙⣿⣧⠀⠀⠀⠀⠀⠀⣼⣿⡏⠀⢀⣤⣶⣤⡀⠀⠱⡀⠀⠀⠀⠀⠀⠈⡆⠀⠀
⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⣿⣿⣿⣿⠀⠀⡿⠛⠀⠀⠀⠀⠀⠀⠛⢹⠀⠀⢸⣿⣿⣿⡇⠀⠀⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀
⠀⢠⠃⠀⠀⠀⠀⠀⠀⣠⢧⡀⠀⠙⠛⠛⠁⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠙⠛⠋⠀⠀⡰⢧⡀⠀⠀⠀⠀⠀⠀⡇⠀
⠀⢸⠀⠀⠀⠀⠀⢀⡞⠁⠀⠑⠤⣀⣀⣀⣠⣴⣧⣤⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣵⣤⣄⣀⣀⠤⠚⠁⠀⠙⣄⠀⠀⠀⠀⠀⢰⠀
⠀⡎⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⢸⠟⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⣿⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠘⠀
⠀⡇⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⡇
⢠⡇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣶⣦⣤⣤⣤⣤⣤⣤⣤⣶⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⡇
⢸⠃⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⡇
⠈⢇⠀⠀⠀⠀⠹⣄⡀⠀⠀⠀⠀⢀⡴⠋⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠈⢳⣄⠀⠀⠀⠀⠀⣠⡼⠁⠀⠀⠀⢀⠇
⠀⠈⠣⡀⠀⠀⠀⠀⠉⠓⠒⠒⠚⠉⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠈⠑⠒⠒⠒⠋⠁⠀⠀⠀⢀⡴⠋⠀
⠀⠀⠀⠈⠑⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠒⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⠠⠤⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠠⠤⠐⠒⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠂⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣶⠶⠶⠶⠶⠶⠶⠶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣀⣴⡾⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣦⡀⠀⠀⠀⠀
⠀⠀⠀⢠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⡀⠀⠀
⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀
⠀⣰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀
⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣖⣦⠀⠀⠀⠀⢿⡇
⢸⡇⠀⠀⠀⠀⠀⢀⣤⣶⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣟⡹⠀⠀⠀⠀⢸⣇
⢸⡇⠀⠀⠀⠀⠀⠸⣿⠟⣹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠐⠈⡉⠝⠀⠀⢨⣿
⠸⣷⠀⠀⠀⠀⠀⠀⠈⢉⣁⠀⠀⣤⡶⠶⠿⠿⠿⣷⡀⠀⠉⠉⠀⠀⠀⠀⢸⡏
⠀⢿⡆⠀⠀⠀⡄⠂⢈⠠⠐⠁⠀⢿⡇⠀⠀⠀⠀⢸⣇⠀⠀⢀⠀⠀⠀⠀⣾⠇
⠀⠈⢿⣆⠀⠀⠉⠉⢀⣄⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⣿⠀⠀⣿⡆⠀⠀⣸⡟⠀
⠀⠀⠀⠻⣧⡀⠀⠀⢸⣿⡀⠀⠀⠀⢻⣧⠀⠀⠀⣸⠇⠀⠀⠹⣷⣀⣼⠏⠀⠀
⠀⠀⠀⠀⠈⠻⣷⣄⡈⣿⡇⠀⠀⠀⠀⠙⠷⠶⠟⠋⠀⠀⠀⢀⣿⡟⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣧⣤⣀⣀⡀⠀⠀⠀⠀⣀⣠⣤⠾⠋⣹⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠉⠉⠙⠛⢻⣿⠛⠋⠉⠁⠀⠀⣰⡿⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⠀⠀⠀⢸⣿⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢷⣄⡀⠘⣿⡆⣀⣤⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⣿⡟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀