⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⠛⠉⢁⣤⣄⠀⢹⡆⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠁⠀⠀⠀⠀⠉⢻⡇⣸⠇⠀⠀⠀⣿⠷⣄⣀⣀⣀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⢠⣾⠇⠈⠉⠁⠀⠭⠙⠳⠶⣤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⢠⡴⠶⠶⠇
⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⠀⠈⢿⣦⡀⢰⣿⠀⠀⠀⠀⠀⠀⠀⢾⡇
⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠉⠛⠿⢿⣦⣤⣄⡀⠀⠀⠀⠘⢧⡀

⠀⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⢀⡀⠀⢀⣠⡄⠀⠀⠀⠀⠈⠛⠶⢤⣀⡀⠀⠀⠀⠈⠙⢷⡀⠀⠀⠈⢻⣄
⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⣴⣄⣠⠞⠙⠛⠋⢹⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⢻⡄
⠀⠀⠀⢀⡾⠃⠀⣴⣧⡾⠁⠉⢀⡴⢖⠒⠦⣄⠻⠦⠤⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢸⡇
⠀⠀⢠⣾⠁⣠⡾⠁⠀⠀⠀⢀⡏⣼⠋⠙⣆⠘⣧⠀⠀⠻⠶⠾⢧⣤⣤⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇
⠀⠀⠺⠿⠚⠉⠀⠀⠀⠀⠀⣸⠀⣧⠀⠀⡟⠀⡿⠀⠀⠀⠀⣠⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠁⠀⢸⠀⡼⠁⣼⠃⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⣶⢃⠞⢀⡾⠁⢀⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⢀⡾⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠋⣠⠋⣰⠋⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⣾⠋⠙⣿⠁⠀⠀⣠⡟⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⡰⠁⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⢹⠀⠀⣰⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⢠⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠃⠀⠀⣿⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠸⡇⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⠀⠀⠀⠀⠸⣆⠀⢻⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠙⠦⢤⠤⠏⠀⠀⠀⠀⣀⡄⠀⠳⠦⠤⠤⠤⠤⠤⠤⣜⢷⣌⠳⠤⠤⠶⢤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠓⠒⠚⠛⠒⠚⠛⠉⠉⠙⠓⠒⠒⠒⠒⠒⠒⠒⠒⠛⠁⠙⠓⠒⠚⠛⠛⠁

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╚═██╔═╝██╔══██╗██╔══╝░░██╔═══╝░░
░░╚═╝░░██║░░██║███████╗██║░░░░░░
░░░░░░░╚═╝░░╚═╝╚══════╝╚═╝░░░░░░
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╔╗╔╦══╦═╦═╦╗╔╗ ★ ★ ★
║╚╝║══║═║═║╚╝║ ☆¸.•°*”˜˜”*°•.¸☆
║╔╗║╔╗║╔╣╔╩╗╔╝ ★ ℕ𝔼𝕎 𝕐𝔼𝔸ℝ ☆
╚╝╚╩╝╚╩╝╚╝═╚╝ ￥☆★☆★☆￥★☆★☆￥★☆￥
⢠⣶⣿⠿⣿⣶⡄⠄⣠⣶⡿⢿⣷⣄⠄⠄⣴⣾⠿⢿⣷⣄⠄⢀⣴⡾⣿⣿⣿
⢸⡿⠄⠄⢈⣿⣿⠄⣿⡿⠄⠄⢹⣿⡆⠸⣿⠃⠄⠄⣿⣿⠄⢸⣿⡇⠄⠄⠄
⠄⠄⢀⣤⣾⡿⠁⠄⣿⡇⠄⠄⢸⣿⡇⠄⠄⠄⣠⣾⡿⠋⠄ ⣿⣿⣿⢿⣯⠄
⢀⣴⣿⡿⠃⠄⠄⠄⣿⣧⠄⠄⢸⣿⡇⠄⣠⣾⡿⠋⠄⠄⠄ ⣿⠄⠄⠄⣿⡇
⢸⣿⣿⣶⣶⣶⣶⠄⠙⢿⣷⣶⡿⠟⠄⠸⣿⣿⣶⣶⣶⣶⠄ ⣿⣿⣿⣿⣿⠃