⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡏⠛⠷⣶⣄⣴⠟⠛⠉⠙⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⢈⣙⣁⠀⠀⠀⢀⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠶⠶⠾⡇⣿⠙⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⠟⠒⠛⠛⠶⠦⣤⣀⣀⣀⢾⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⣀⣴⣿⣁⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢯⡀⣽⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢼⡋⢹⡛⣷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢾⣿⣿⢷⠋⣺⠃⠀⠀⠀⠀⠀⠀⢀⣠⠤⠶⠖⠒⠶⠦⢤⣄⡀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠈⠙⣿⠛⢻⠏⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢰⠇⠀⡾⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⢻⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣾⠀⢀⡇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢸⣤⣷⠀⠀⠀⠀⠀⠀
⠀⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢸⢿⣿⠀⠀⠀⠀⠀⠀
⠀⡏⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⣾⣤⡿⢷⣄⠀⠀⠀⠀
⠀⣧⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⣄⣀⣀⣀⣀⣀⣤⠴⠛⠁⠀⣿⠙⣷⣿⡇⠀⠀⠀⠀
⠀⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠮⠤⣤⣶⣤⡀⠀
⠀⢹⡇⠀⢹⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⣻⡄
⠀⠀⠻⣴⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠋⠉⠉⠉⠳⣄⡀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⣾⠀
⠀⠀⠀⠈⣙⡿⠿⢦⣄⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠈⢻⡙⠛⠒⠒⠶⡿⠀⠀⠀⣰⡏⠀
⠀⠀⠀⠀⠙⠾⣆⣾⡉⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⡷⠦⣄⣀⡀⢷⡀⢀⣰⠏⠀⠀
⠀⠀⠀⠀⠀⠀⠉⠉⢻⡦⢶⣿⢷⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠈⠉⠉⠙⠛⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⠾⠧⢤⣤⣀⣀⣀⣤⣤⠴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢞⠉⠳⡎⠁⢹⠆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⡁⠬⠯⢉⡁⠠⡀⠀⠀⠀⠀
⠀⠤⢾⠖⠁⠀⠀⠀⠀⠈⠂⢎⠀⠀⠀⠀
⠻⠯⠏⠀⠀⢀⠔⠀⠀⠐⠢⢄⢁⠀⠀⠀
⢠⠘⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⣎⡄⠀⠀
⠸⠠⠀⠀⠀⠡⠀⠀⠀⠀⠀⢀⢿⣧⡀⠀
⢰⢰⠀⠀⠀⠀⠁⠒⠒⠒⠂⠁⠸⢛⣃⡀
⠘⡈⠀⠀⠀⠀⠀⡠⠄⠠⡀⠀⠀⠐⠁⢸
⠀⠨⢏⡖⠀⠀⠶⠀⠀⠀⠘⣍⡁⡇⢀⠎
⠀⠀⠀⠘⢶⡿⣀⣀⣀⣀⠜⠀⠀⠉⠁⠀
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。+゚☆゚+。★。+゚Ңᶏ𝑝𝑝ɏ 𝘕𝘦𝕨 𝚼𝘦ᶏꞅ☆゚+。★。+゚☆゚+
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡤⠀⠀⢀⣀⡀⢄⣀⣀⣀⠀⠠⠀⠒⠀⠈⠉⠛⠩⡉⢂⠑⡄⠀⠐⠒⠂⠤⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢏⢢⠀⠀⠀⢀⠄⢊⠜⠋⠉⠁⠀⠀⠀⠀⠀⡠⠒⠉⠀⡠⠃⠑⠺⢄⠀⠀⠀⠀⠉⠑⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠑⣄⠈⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⢀⠔⢀⠀⠀⠘⠰⣆⠀⠀⠀⢢⠀⠀⠀⠂⠤⢄⡀⠈⠑⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⣸⠊⠀⠀⠀⠀⠀⠀⠀⠀⡠⢂⠊⡰⠃⠀⠀⡆⠀⣏⠀⠀⠀⠀⠡⡀⠀⠀⠀⠀⠈⠁⠣⣔⡈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠞⢁⠀⠀⠀⠀⠀⢀⠄⢀⠞⠀⢆⡜⠁⠀⠀⢰⠅⡀⠹⡇⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠚⠦⠄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡡⢋⡔⠁⠀⠀⠀⡰⢀⠎⠠⡝⠀⢸⡜⠀⠀⠀⢀⢃⢡⢣⠀⢣⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢐⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠮⡎⡝⠀⠀⠀⢀⡞⠁⡞⢠⡝⠀⠀⣿⠃⠀⠀⠀⡜⡌⡜⡼⣆⠈⢣⠀⠀⠀⠀⠈⠀⣀⣀⠀⠀⠀⠠⠄⠂⢁⠔⠋⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠊⠁⡜⡌⠀⠀⠀⢒⠞⢲⠸⢧⣿⠁⠀⢀⡟⠀⢀⠆⢠⠡⡰⡇⡘⢿⣦⡀⠣⡀⠀⠀⠀⡆⢢⠀⠀⠀⠀⠀⣠⠖⠁⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡙⠀⢠⠁⠀⡌⡄⣎⡗⡡⡌⠀⠀⡼⠇⠀⡜⠀⡬⢤⠧⣇⢱⠀⠑⠱⢄⡈⠢⢄⠀⠇⢢⢣⠀⠀⡠⡪⢲⡆⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⠀⢠⡇⠀⡜⡠⠐⢹⡌⠀⡇⠀⢰⢸⠀⢀⠇⡷⡆⠸⠀⡇⢩⠂⢄⠀⠀⠈⠁⠀⠀⠁⡎⡆⡤⢊⠔⠀⠀⣇⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢣⠀⣞⠁⢰⣯⣤⣤⡘⢅⠀⡇⠀⡄⡀⠀⢸⢠⢃⢀⡇⠀⣠⢨⠀⡇⠁⡆⠀⠀⠀⠀⠀⣇⠏⡗⠁⠀⠀⠀⢹⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⢞⢰⢸⠀⡘⢈⣶⣶⣾⣵⠀⢳⡇⡇⡇⠀⢸⡎⣌⠸⠥⡀⠉⡄⠀⡇⠀⠀⠀⠀⠀⠀⠚⠀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⡏⢸⠀⡀⣇⢸⠉⢻⡽⢟⠁⠘⢷⢻⡅⠀⣺⣿⣭⣭⣿⣰⢤⣱⠀⠃⢀⡀⠀⠀⠀⠀⠇⢸⠀⠀⠀⠀⠀⠀⡀⠀⠀⡄⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢰⡏⠀⣇⡿⡦⣃⡘⣁⠎⠀⠀⠈⢻⠱⡀⠘⠛⠿⣟⣻⣿⡷⡝⣷⠀⣸⠀⠀⢸⢀⢲⠀⡆⢰⠀⠀⡇⠀⢠⡇⠀⡸⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡀⠐⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣀⡏⣇⢞⢼⠉⠑⠈⠀⠀⠀⠀⠉⠻⢄⣆⠸⣻⠟⠁⠹⠅⣸⢀⡋⠀⠀⡎⡸⡈⠰⠀⡛⠀⢠⠇⢀⢳⠁⢰⢁⢼⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⢠⠎⠉⠐⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠠⠄⡀⠀⠀⠀⢹⠊⠈⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣘⠢⢤⣠⡔⣎⠀⡇⡌⠃⠀⡸⢠⢣⡇⢆⢠⠁⢠⢻⠀⣌⣸⠀⢃⠎⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⢸⣆⠀⠀⠀⠀⢸⠃⠀⠀⢰⠉⠑⠤⠃⠀⡇⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⢲⣿⡟⣾⣾⡦⠱⣸⣿⠘⠀⣰⡡⠁⠸⣇⢀⠇⠀⠎⡌⣼⡪⢷⠸⠃⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠙⠲⠤⠄⠀⠎⠀⠀⠀⠈⢆⢄⠀⠀⢠⠃⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠈⠉⡝⠚⠿⠃⠆⡝⡝⡆⡴⠟⢁⠂⢀⢋⣬⢀⢊⡜⡼⠋⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠒⠂⠁⠀⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢰⣣⡘⡀⠀⡎⢀⡧⠂⡏⡰⢱⠊⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠤⠀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠤⠐⠂⠈⠋⡏⢱⢠⣿⡇⣬⣀⠀⢷⠁⠈⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡉⠀⠀⡇⠀⠀⠀⠉⠀⠉⠉⠉⠉⠉⠁⣠⡔⠛⢆⠰⡼⣣⠀⠀⠀⠀⠀⠀⡠⠊⠀⡇⣿⣾⠛⠳⠇⠶⣭⣺⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠤⠴⠿⡷⡀⠘⡄⢻⡿⠆⠀⠀⡠⠔⠁⠀⠀⣀⣿⣽⠟⠠⠠⠐⠂⠙⠋⣁⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠱⡹⡄⢱⠈⣿⠘⡆⠁⠀⠀⣠⡖⠟⠋⣉⠠⠄⡀⠒⠂⠀⠋⠁⠩⣃⠒⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⢵⣿⡄⡇⢹⠘⠀⢀⣴⠟⢉⠤⡚⠭⠐⠈⠀⣀⠀⠠⠤⠀⠐⠂⠉⠉⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠸⡀⠀⠀⣸⣿⣿⣤⢸⠀⡴⠋⣠⡾⢛⠭⠔⠂⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠀⠀⠐⠒⠤⢄⡀⠀⠀⠐⡀⡵⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⡇⠀⠀⠀⠀⠀⠀⠀⢻⡇⠉⢻⣰⠊⣠⠾⠓⠉⠀⢀⡀⠀⣀⣤⣀⡀⠀⠀⠀⠀⠒⠂⠤⠤⢐⣣⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠸⣿⠡⠀⠀⠉⠉⠉⠉⠉⢩⣿⢼⡟⣅⠀⠀⠀⠀⠀⠀⠀⠠⠀⡀⠠⠀⠀⠀⠉⢢⡀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⢀⠁⠀⡄⣿⠀⠀⠀⠀⠀⠀⠀⢠⡿⣹⠀⢰⠸⡀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡰⠁⠀⠀⠀⣀⠔⠊⠁⠈⠉⠒⠠⠔⠊⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⡇⠀⠀⠀⢸⠀⠀⣧⠁⠀⠀⠀⠀⠀⠀⢀⢧⠃⣿⠀⠈⡀⡇⠀⠀⠀⢀⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡜⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⡇⠀⠀⠀⠘⠀⠀⣋⡇⠀⠀⠀⠀⠀⠀⡸⡜⠀⢻⠀⠀⡇⢣⠀⠀⡠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠘⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠒⠒⠒⠒⠒⠒⢢
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⠁⠀⠀⠀⡀⠀⢰⡿⡇⠀⠀⠀⠀⠀⠀⡇⡇⢰⢸⣰⠀⢱⢸⠀⡐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⡇⠀⠀⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⡇⠀⢸⣷⠁⠀⠀⠀⠀⠀⢠⢻⠀⡘⢸⣷⣀⠼⣼⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⢐⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⡇⠀⠸⣯⠀⠀⠀⠀⠀⠀⠸⡾⠿⣿⡟⢽⠁⠊⢡⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠤⠤⠼⠀⠀⠀⢸⠠⠤⠤⠤⠤⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡼⡇⢸⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠆⠀⠀⠀⡆⠀⠀⠀⢇⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⢸⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡜⠀⠀⠀⠀⠸⡀⠀⠀⠀⠣⣀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣞⡘⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⣠⠊⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⢈⠓⢄⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠜⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⡠⠊⡜⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠠⡀⠑⢅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠇⠀⠀⣸⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠊⠀⢀⠜⠀⠀⠀⠀⠀⠀⡠⠊⠀⡰⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠈⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠘⡄⠸⠀⢠⢀⠂⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡠⠃⠀⠀⠀⠀⠀⡠⠊⠀⠀⡰⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠄⠀⢣⠤⠤⠤⠤⠀⠀⠀⠀⠀⠀⠤⠤⠤⠤⠼
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠘⠄⠀⠀⠘⠈⠄⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⣄⠜⠀⠀⠀⠀⠀⡠⠊⠀⡠⢀⡌⠀⡠⢠⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠈⠄⠀⠀⢇⠈⢆⠰⡀⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀⠀⠀⠀⢀⠠⠀⢁⠔⡙⠀⠌⠀⢸⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠐⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠈⡄⠀⠈⠀⠀⠘⡄⠀⢂⢣⠀⠀⠀⠀⠀⠜⠀⠀⠀⠀⠀⠀⠂⠁⠀⡠⠂⠰⠁⠌⠀⠀⠀⠀⡼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢡⠀⠀⠀⠀⠀⢇⠣⠀⠊⠆⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⢀⠔⠉⠀⢀⠃⡜⠀⠀⠀⠇⢜⠠⠈⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠘⡄⠀⠀⠀⢸⠘⡀⠡⡀⠨⡄⠀⡘⠀⠀⠀⠀⠀⠀⡠⠂⠁⠀⠀⠀⡌⠰⠁⠀⠀⢠⠌⡜⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠆⠀⢃⠀⠀⠀⠘⡄⢃⢀⠘⢄⠈⢲⠁⠀⠀⠀⠀⠄⠊⠀⠠⠐⠈⠀⡸⢠⠁⠀⠀⡠⠊⠰⠀⠀⠀⠀⡗⡄⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠄⠈⡄⠀⠀⡀⣇⠘⡀⠑⢄⠑⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢡⢃⠂⠀⠀⠔⠁⡰⠁⠀⠀⠀⠀⡇⠘⡄⠀⠀⠀⢀⠔⠁⠀⠀⠀⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠄⠘⡀⠀⠀⡇⢀⠰⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⡠⠊⢀⠔⠁⠀⠀⠀⠀⠀⡇⠀⠘⠄⢀⠔⠁⠀⠀⠀⢈⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠈⢂⠀⠀⠀⢸⡄⢂⢁⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠊⠀⠀⠊⠀⠐⠁⠀⠀⠀⠀⠀⠀⢀⠀⠠⠠⡈⠅⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⢸⢁⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠑⡈⠄⡠⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠺⣏⠳⣄⠀⠀⠀⠀⠀⠀⣘⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠈⠜⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠚⠁⠀⠀⡇⠉⠺⣛⢦⠤⠤⢶⣟⣽⡙⡵⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢡⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠈⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠪⠁⠀⠀⠀⠀⠀⡇⠀⠀⠀⠉⠁⠈⡟⣻⡿⠑⢼⢞⢢⡀⠀⠀⠀⠀⠀⠀⠀⢁⣴⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⢧⡂⠄⢀⠀⢀⣼⢰⠋⠀⠀⠀⠑⠍⣚⡷⠶⢲⡶⠶⠶⢿⡛⣿⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⢪⠋⠀⠀⢠⣖⣢⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⢓⠢⠤⠤⣬⢞⢆⠀⠀⠀⠀⠀⠀⠈⠁⠀⠛⠒⠀⣡⣾⠘⣦⣕⠤⡀⠀⠀⠀⣶⡆⠀⣶⡦⠀⠀⠀⠠⢐⣤⢶⢾⢿⡔⠁⠀⠀⣰⡟⠀⠀⠈⠁⠘⠲⡠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⠀⢰⢰⢡⠂⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊⡱⢡⠊⠁⠀⠁⡈⢆⠀⢀⣀⡀⠀⠉⠀⠀⠀⣀⡴⠛⢹⠀⠀⠸⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠈⠑⢏⠡⠶⠤⣀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⣸⠈⣼⢁⠂⠄⢀⠙⢢⣀⣀⣀⣀⣀⠀⠀⠠⠤⣧⠇⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠛⠻⢆⠴⠛⠁⠀⠀⡏⠀⢠⠃⢒⡮⠋⠁⠙⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⣿⣰⠂⠄⠎⣠⡏⣰⣟⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡰⠁⢀⠊⠀⠀⠀⠀⢘⡌⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣼⡜⣼⣿⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡪⠁⡴⠃⡀⣀⢄⡐⠠⠅⠒⠒⠂⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠳⣠⠄⡀⠀⠀⠀⣀⠀⡀⠀⠐⠒⠊⢉⣉⣻⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠄⠊⢁⠩⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠁⠪⠤⡤⠥⠔⠒⠒⠒⠒⠈⠁⠀⠀⣼⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠤⢤⡤⢶⠒⣰⣨⣧⡧⠔⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠐⣦⡷⢟⣫⢷⡝⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⡠⠄⠂⠀⠀⢀⡠⠜⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠂⢁⣀⣀⡀⠤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠤⢀⣀⣀⡀⠀⠀⠀⢀⣈⡰⠤⠒⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀
⠀⠀⢏⣟⣻⢹⣃⣮⡛⣏⢿⢹⠹⢿⣿⡏⡆⢸⢿⣷⠀⠀
⠀⠀⠈⢉⣽⣿⣿⢟⣽⠿⠛⠻⣿⣍⠉⠉⣩⣿⣭⡉⠀⠀
⠀⠀⣰⣿⢿⣿⠃⢿⢡⣶⣶⣦⠀⢻⡗⢸⠛⠛⠻⡿⣄⠀
⠀⣼⡿⠏⣿⡿⣄⠸⣜⠿⣿⣟⡰⠟⠀⠘⣿⣿⣧⢸⡘⡆
⢰⣿⡇⣼⣿⣷⢾⣷⡞⠉⡉⠁⠀⠀⠀⠀⠈⠛⠥⠾⣃⣿
⢸⣿⡿⢿⣿⠟⣿⣿⣿⣶⣬⣝⣓⠶⠤⠠⠄⠀⣸⣿⣷⣿
⠸⣏⠇⠈⠉⢢⡜⢯⡎⠈⡟⠛⢿⠟⢿⡾⢿⣿⡿⠋⣿⡿
⠀⢹⡆⠀⠀⠘⢿⣆⣙⡺⣄⣀⣇⠀⣘⣀⡸⠟⢁⣼⣿⠇
⠀⠀⠱⣄⠀⠀⠀⠉⠙⢷⣶⣶⣬⣭⣥⣴⣿⣾⣿⡿⠋⠀
⠀⠀⠀⠈⠓⢤⣀⣀⣀⣠⣙⣿⣿⣭⣿⣿⣿⡿⠋⠀⠀⠀
⠀⠀⢺⣿⣏⣿⣿⣿⣽⣿⣫⠿⣇⣿⣿⣿⣎⣿⣿⣷⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡔⣠⣤⣶⣖⣂⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣥⣶⣶⣿⠃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢋⣿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡤⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⡯⢿⣿⣿⣯⠤⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣴⣿⢿⣿⣿⣿⣿⣿⣿⢣⡷⠚⣿⣿⣿⣵⢤⣿⣿⣟⠋⠃⠀⠀⠀⠀⠀
⠀⠀⠘⠻⣯⣬⣿⣿⣿⣿⣿⣗⣺⡿⠆⠏⣿⠉⠉⡹⣿⣿⣿⣍⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠉⢹⣿⣿⣿⣿⢿⡷⠛⠂⠀⠁⠰⠀⢀⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀
⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⡓⢌⠀⠀⠀⣠⠤⢂⢞⣿⣿⣿⣿⣿⣿⣶⣦⣤⣄
⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⠋⠱⡀⢫⡒⠄⣀⡀⡾⡏⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⣠⣿⣿⣿⣿⣿⣿⣿⡧⠊⠀⠑⠄⠑⠦⡀⢀⢠⡏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣾⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠈⢢⠀⠈⠀⡸⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠘⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⠀⠀⣀⡀⠀⢀⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋
⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠠⡒⢊⣾⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀
⬜⬜⬜⬜⬜⬜🟦🟦⬜🟦🟦⬜⬜⬜
⬜⬜⬜⬜⬜🟦⬜⬜🟦⬜⬜🟦⬜⬜
⬜⬜⬜⬜⬜🟦⬜⬜⬜⬜⬜🟦⬜⬜
⬜⬜⬜⬜⬜⬜🟦⬜⬜⬜🟦⬜⬜⬜
⬜⬜⬜⬜⬜🟦🟦🟦⬜🟦🟦🟦⬜⬜
⬜🟦🟦🟦🟦🟥🟥🟦⬜🟦🟥🟥🟦⬜
🟦🟦🟦🟦🟦🟦🟦🟥🟥🟥🟦🟦🟦🟦
🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦
🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦
🟦🟦🟦🟦⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦
🟦🟦🟦🟦⬛⬛⬛⬛⬛⬛⬛⬛⬛🟦
⬜🟦🟦🟦⬛⬛⬛⬛⬛⬛⬛⬛⬛🟦
⬜⬜⬜🟦⬛⬛⬛🟦🟦🟦🟦⬛⬛🟦
⬜⬜⬜🟦⬛⬛🟦⬜⬜⬜🟦⬛⬛🟦
⬜⬜⬜⬜🟦🟦⬜⬜⬜⬜⬜🟦🟦⬜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠋⠁⠈⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣀⣤⠶⠶⠶⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠻⠶⠶⠶⢤⣄⠀
⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧
⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿
⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠀
⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀
⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢸⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀
⠀⠀⠀⠀⡾⠈⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀
⠀⠀⠀⠀⢻⣄⠀⠀⠀⣀⣠⠴⠛⠉⠉⠓⠦⣄⣀⠀⠀⠀⣠⡟⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠙⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
AstronomerBinary StarBlack HoleChemical ElementChromosphereConstellationCuteDouble StarEarthEnergyGalaxyGiant StarGravityHeliumHotshotHydrogenJupiterLuminosityMilky WayNeutron StarNight SkyNovaPhotospherePlanetPlasmaRadiationRed DwarfRed GiantSolar EclipseSolar SystemSolar WindStarStar CatalogueStar ChartStar ClusterStardomStarringStellarSunSunlightSunshineSupergiantSupernovaSuperstarUniverseWhite DwarfWhizWhizzWiz
⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⡴⠋⠀⢀⡤⣖⡫⠭⠭⠭⠭⣍⣑⣒⣒⣒⣻⠭⢝⠲⣄⡀⠀⠀⠀
⠀⠀⠀⢀⡾⠁⠠⢖⡽⣪⡑⠬⡭⠭⢙⡄⠀⠀⠀⢐⠒⠒⠒⢤⠀⠀⠹⡄⠀⠀
⠀⠀⣠⡞⠁⠀⠀⢈⡜⠁⠁⣠⣭⣄⠐⢈⢦⠀⠀⢠⠒⠈⠉⣩⠉⠲⢄⢷⡀⠀
⠀⡴⡻⢛⣩⠥⣄⡙⢆⢀⠄⠛⠿⠋⠀⠅⡼⠁⠲⣇⠁⠀⠺⣿⠗⠀⢄⡧⡹⡆
⢸⢱⢀⡏⠀⣰⣄⡉⠀⠉⠒⠛⠓⠚⣚⡉⠀⠀⠀⢯⣐⠠⠴⠤⠄⡒⠛⢸⢰⡇
⢸⡄⡈⡇⠉⢻⡀⠙⢳⣦⣄⡉⠉⠁⣏⠤⠦⠄⠀⠀⡽⠇⠄⡀⢀⣿⡄⡊⢲⠇
⠀⠻⣌⠒⠀⠈⣿⣶⣬⣧⣀⠉⠙⡷⠶⠤⢤⣄⣘⣛⣁⣠⣤⠖⡏⢻⡇⢠⡏⠀
⠀⠀⠘⢧⠀⠀⣿⣿⣿⣿⣿⣿⣶⣧⣤⣀⣸⣇⣀⣸⣀⣀⣼⣤⣿⣾⣷⠘⡇⠀
⠀⠀⠀⠘⢧⡀⢸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡇⠀
⠀⠀⠀⠀⠈⠻⣆⠹⣌⢻⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡇⠀
⠀⠀⠀⠀⠀⠀⠈⢳⡈⠻⣀⠀⠈⡟⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡈⠓⢾⣇⡀⠀⢸⡇⠀⢸⠏⠉⡏⢹⣃⣷⠃⢠⠇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢤⣌⣉⠙⠛⠓⠒⠚⠓⠚⠋⠉⠉⣀⣠⠏⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀