⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡴⠾⠷⠾⠷⠿⠾⠷⠿⠶⢷⣤⣤⣀⣀⣀⣀⣀⣤⣠⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡤⠖⠒⡛⣉⠩⢁⠢⡑⢂⠲⡐⠢⢆⡱⢌⡜⢠⢃⡜⡩⡉⢍⠩⡉⢍⡩⢻⠛⣛⠳⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠒⡌⢡⠒⡨⢑⠰⠠⢃⠅⢣⠘⡄⢣⠘⡡⢊⡔⣢⢌⢣⠎⡴⣡⠝⣢⢣⡙⢦⡑⣣⠹⣄⠫⡜⡹⢷⣄⠀⠀⠀⠀⠀⠀⠀
⢈⠒⢌⠢⠘⡄⠣⢌⠱⡈⠜⡠⢃⠜⣠⢋⡴⢃⢮⡑⣎⢧⡛⣴⣃⡟⣦⢳⣚⡵⣪⣕⣳⡞⣷⡼⣑⠦⣍⢷⣄⠀⠀⠀⠀⠀
⠤⢉⠢⢌⠱⣀⠣⠌⢢⠑⣌⡑⢎⠼⣠⢳⡸⣍⢶⡹⣜⣶⣻⣵⣯⣻⣵⣯⢯⣷⣝⣮⢷⣿⣽⣻⣧⡛⡬⢎⡽⣆⡀⠀⠀⠀
⢄⢃⠒⡌⠒⢤⢂⡍⢢⡙⢤⡙⡌⢮⡱⢆⠿⣽⣮⣷⢫⣶⣿⣿⣞⣷⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⣿⣹⢳⣛⣶⣹⢷⡀⠀⠀
⠌⢦⠱⣈⠝⡤⢣⠜⣢⡙⡤⡓⠼⣑⢮⡙⢮⡝⣻⢿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢷⣣⢏⣷⣻⣄⠀
⣋⢆⠳⣌⠚⣔⢣⠛⣤⡙⡲⢩⢳⣉⠶⣩⠳⣜⡱⢎⡜⣙⢫⡙⡍⢎⡱⣉⢎⡱⢌⠦⡑⢦⠱⡌⢦⢡⢛⣿⣿⣮⢷⣩⣿⡀
⡍⢮⠱⣌⡹⢤⡋⡽⢰⣍⠳⣍⠳⣜⡸⢣⣛⢬⠳⣭⡜⢦⣣⢼⡸⢥⢣⣍⢶⣩⢎⢧⡙⣎⢳⣙⣎⡳⢎⢶⣿⣟⣯⣾⠟⠁
⢮⡱⢣⢖⡱⢦⡙⣖⢣⢎⡳⣜⡹⢦⡝⢣⢞⡣⣟⣶⡹⣇⡞⣦⡝⣮⢷⣾⢿⣳⢏⣾⡱⣽⣚⣶⣭⢿⣽⣾⠿⠾⣿⣿⣦⡄
⢧⣙⢧⣎⠵⣎⡵⢎⡳⣎⠵⣎⡵⣶⢻⡿⣾⢿⣿⢧⡿⣼⡽⣶⢻⣯⣿⣟⣯⢷⣻⣾⣽⣳⢯⣷⣿⠿⢋⡁⢆⠡⢹⣿⣿⣧
⣧⡻⣖⢮⣻⡜⢾⣩⢗⣮⢟⡼⣟⣿⣯⣿⣿⣿⢿⣻⣿⣿⣻⣽⣿⣿⣷⣿⣿⣿⣿⡟⠟⡛⢋⠍⣄⠢⣡⢘⣄⣣⣼⣿⣿⣿
⣷⢫⡽⢧⣳⡽⢧⣻⢞⡽⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⡾⣽⣻⢿⡿⣿⢿⣻⢿⣻⢿⣻⣟⣯⣿⣿⣿
⣯⣷⣻⢯⣗⡿⣯⣷⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠁⠀⠘⣿⣿⣿⣿⣿⣳⣯⢿⡽⣯⢿⡽⣯⣟⣯⣷⣿⣿⣿⣿⠓
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⡻⢯⣿⣿⣿⣓⢾⡇⠀⠐⠠⠀⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡿⠁⠀
⣿⣿⠿⠻⠛⠟⠋⠩⣿⣿⣿⣏⠮⣕⢯⣿⣿⣿⡭⢞⣷⠀⠀⢀⠁⠀⡀⠀⠉⠛⠻⠿⠿⠿⠛⠛⠩⠙⠁⠁⠀⣿⣿⣿⠀⠀
⠋⠁⠀⠀⠀⠀⠀⠰⣿⣿⣿⡏⣞⡱⣞⣿⣿⣿⡝⢮⣿⡆⠀⠀⠠⠀⠀⠀⠂⢀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠁⢠⣿⣿⣿⣦⠀
⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⢳⠼⣱⣹⣿⣿⣿⡝⢦⢻⣷⠀⠈⠀⡀⠈⠀⠀⡀⠀⠀⠂⠀⠀⠀⠀⢀⠈⠀⢰⣿⣿⣿⣿⠀
⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⡏⣞⡱⢞⣿⣿⣿⡝⣎⢧⢻⣧⠀⠀⠠⠀⠄⠂⠀⠀⠄⠀⠂⠀⠁⠄⠠⠀⠠⣿⣿⣿⣿⣿⠀
⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⡷⣸⢱⣫⣿⣿⣿⡽⡸⢎⢧⢻⣦⣀⠀⠀⠀⠀⠈⠀⠀⠀⠐⠈⠀⠀⠀⣠⣽⠿⣿⣿⣿⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠨⣿⣿⣿⡷⣡⠧⣝⣿⣿⣿⡷⣩⢻⢬⡓⣎⢟⡷⣾⣶⣶⣤⣆⣤⣠⣄⣤⣦⣶⡿⢻⡱⣛⣿⣿⣟⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣥⣛⢼⣻⣿⣿⣗⡣⣏⢶⡹⣚⡼⣜⡱⣎⡼⣩⢏⡽⣩⢏⢯⡙⡦⣝⢣⢷⣻⣿⣿⡯⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣧⠽⣸⠖⣭⢳⠼⣸⣽⣿⣷⣯⣾⣶⣷⣾⣮⣽⣷⣯⡝⢮⣿⣿⣿⡇⠀⠀
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠻⠟⢿⣿⣿⣟⠮⡕⣏⢮⠳⣍⣳⣿⣿⣿⡿⢿⣿⣿⣿⣿⠿⣏⠳⣜⢯⣿⣿⣿⠃⠀⠀
⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡹⣜⢣⠯⣝⢲⣹⣿⣿⣿⠀⠀⢿⣿⣿⣧⣛⣬⡛⣼⣻⣿⣿⣿⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣦⢀⣠⣾⣿⣿⣿⣿⣷⠀⠀
⠀⠀⠀⢀⣠⣤⣠⣠⣤⠀⣾⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣏⣉⣉⠁⠀⠀
⠀⢀⣴⣿⣿⣿⣿⣿⡿⢁⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⡄⠀
⠀⣼⣿⣿⣿⣧⣤⣤⣀⢸⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⠀⠈⠉⠛⢛⣿⣿⣿⡟⠀
⠀⠘⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⣀⣼⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⡿⠁⠀
⠀⠀⣀⣀⣀⣈⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⠟⠀⠛⣻⣿⣿⣛⡏⢡⣤⣄⠀
⠀⣾⣿⣿⣿⣿⣿⡿⠛⠀⣀⣈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷
⠀⠈⢙⣻⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠛⠁
⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠋⠉⠉⠁⠀⠀⠀⠀⢀⡀⣀⡀⠀⠀⠀
⠹⣿⣿⣿⡿⠿⠛⠋⠉⠀⠀⠀⢀⣀⣤⣤⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀
⠀⠀⠉⠀⠀⠀⠀⢀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡿⠿⠟⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
You are ejected。 • ゚。
. . . 。 。.
. 。 ඞ 。 . •
• I told you I was not the Impostor •.
ඞ 🔫 ඞ 🔫 ඞ 🔫 ඞ 🔫 ඞ 🔫 ඞ
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= = = ==== = = =
= ===== = = = = =
===== = = ===== = = = = ===== ===== =====
= = = = = = = =====
= = = = ===== = =
= = = = = = ===== There is 1 impostor among us
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠛⠉⠙⠛⠛⠛⠛⠻⢿⣿⣷⣤⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠈⢻⣿⣿⡄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣸⣿⡏⠀⠀⠀⣠⣶⣾⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⢰⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⡄⠀
⠀⠀⣀⣤⣴⣶⣶⣿⡟⠀⠀⠀⢸⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀
⠀⢰⣿⡟⠋⠉⣹⣿⡇⠀⠀⠀⠘⣿⣿⣿⣿⣷⣦⣤⣤⣤⣶⣶⣶⣶⣿⣿⣿⠀
⠀⢸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀
⠀⣸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⡿⠿⠿⠛⢻⣿⡇⠀⠀
⠀⣿⣿⠁⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀
⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀
⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀
⠀⢿⣿⡆⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀
⠀⠸⣿⣧⡀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀
⠀⠀⠛⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣰⣿⣿⣷⣶⣶⣶⣶⠶⠀⢠⣿⣿⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⣽⣿⡏⠁⠀⠀⢸⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⢹⣿⡆⠀⠀⠀⣸⣿⠇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⣄⣀⣠⣴⣿⣿⠁⠀⠈⠻⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣷⣄⠀⠀⠀⠀⢀⣴⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⢻⡿⣦⠀⠀⢰⣿⡿⣿⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠹⠷⠾⠟⠻⠛⠲⠿⢿⣤⣼⡯⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⡟⠀⣠⣶⣄⠀⠀⠀⠀⠀⣀⣄⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⡇⠀⢹⡿⠏⠀⣀⠀⠀⢸⣿⣿⠇⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⠀⠀⠾⠿⣷⡄⠀⠉⠁⠀⠀⣠⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠙⣿⣦⣄⣀⣀⡀⠀⠀⢀⣀⣠⣴⠞⣿⣿⣁⣀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣴⠟⠋⢻⣏⣉⣛⣽⡿⠛⣿⡇⣀⣀⣛⣷⣤⡭⠟⢶⣄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣴⢻⣿⣳⣄⣾⠟⠛⢻⣯⢀⣀⣿⡿⠟⠉⠉⠉⢳⡄⠀⠀⠙⢧⡀⠀⠀⠀
⠀⠀⠀⢀⡾⠁⠈⠛⢻⠟⢋⣠⠀⠘⠿⣿⡿⠟⠀⠀⢀⡀⠀⠀⢻⡀⠀⠀⠈⢷⠀⠀⠀
⠀⠀⠀⣸⠃⠀⠀⢀⡟⣴⢞⣽⣷⠀⠀⢸⠃⠀⠀⢠⣟⣿⣦⡀⠀⣧⠀⠀⠀⢸⡇⠀⠀
⠀⠀⠀⡟⠀⠀⠀⢸⢿⣡⣿⣿⣿⡇⠀⣾⡀⠀⢠⡟⣾⣿⣿⣿⡆⢸⠀⠀⠀⠀⣿⠀⠀
⠀⠀⠀⣧⠀⠀⠀⢸⠀⠉⠉⠉⠉⢡⡾⣿⣷⡄⠈⠛⠛⠛⠛⠉⠁⢸⠀⠀⢀⣴⡇⠀⠀
⠀⠀⠀⢻⡀⠒⠤⢼⠀⢰⣶⣶⡄⠈⣛⣿⣛⣁⡀⠀⣶⣿⡆⠀⠀⣼⠠⠖⠉⣽⣁⡀⠀
⠀⣠⣴⣾⣷⡀⠀⠸⣇⠸⣿⣿⣷⣶⣿⣿⣿⣿⣷⣾⣿⡿⠃⢀⣤⣿⠾⢷⣾⢟⣉⣿⠆
⠀⣻⣷⡟⢻⣿⣦⣄⣹⣆⠈⠛⠻⠿⠿⠿⣿⡿⠿⠟⠋⠁⢰⡟⠙⠏⣸⣀⡵⠛⡾⣿⣄
⢸⣏⣻⣿⣯⣵⢋⣍⡭⣹⠷⢤⣄⣀⣀⣤⠼⠷⣤⣤⣤⡤⢿⡀⣠⡴⠟⢻⣿⣿⣿⡿⠃
⠈⠉⠉⠁⠛⠓⠛⠻⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠛⠷⣬⣙⡓⢒⣹⣿⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣿⠟⠋⢹⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⠿⠟⠛⠉⠁⢠⣤⣤⣿⡿⠛⠿⢿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠋⠀⠀⠀⠀⠀⠀⠈⠉⠛⠉⠀⠀⠀⠀⠀⠉⠻⢿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠿⠿⣶⡀⠀⠀⠀⣠⣤⣤⠀⠹⣿⡆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⢠⣶⣶⣦⠀⠀⠀⠀⢰⣿⠁⠀⢀⣿⡇⠀⠀⠀⢿⣿⣿⠇⠀⢻⣷⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠠⠔⠋⠀⠸⢿⣿⠟⠀⠀⠀⠀⠘⣿⡿⠿⢿⣿⠀⠀⠀⠀⠀⠉⠁⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣤⣷⣿⣿⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣶⣾⡿⠀⠀⠀⠀⠀⠸⡆⠀⠀⢸⣿⣷⣶⣶⣄⠀⠀
⠀⢰⣿⠋⠁⠀⠀⠉⠛⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⢸⣿⡇⠀⠈⢻⣷⠀
⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⡀⠀⢀⣿⡇
⢸⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⢀⣾⡟⠀
⠀⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡿⠋⠀⠀
⠀⣿⡇⠉⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡅⠀⠀⠀
⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀
⠀⠘⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀
⠀⠀⠹⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀
⠀⠀⠀⠹⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣴⣶⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠀⠀⠉⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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./づᡕᠵ᠊ᡃ࡚ࠢ࠘ ⸝່ࠡࠣ᠊߯᠆ࠣ࠘ᡁࠣ࠘᠊᠊°
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⠿⠟⠛⠛⠻⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠟⠁⠀⠀⠀⠀⠀⡌⢻⣿⠀⢼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡇⠀⠀⠀⠀⠀⢀⣠⡾⠋⠀⢸⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣾⣿⣶⣶⣦⣄⡀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣏⠙⠷⣦⣤⡤⠶⠛⠋⠁⠀⠀⠀⠀⠈⠉⠉⠓⠒⠒⠦⠤⣄⣀⡀⠀⠀⠀⠀⣸⠉⢠⡿⠿⡿⠿⢿⣿⣿⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢳⡆⠀⢀⣀⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣦⣤⣄⣈⠉⠓⠒⠶⠇⠀⢸⡇⠀⠀⠀⠀⠈⠙⢿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣟⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣀⠀⠀⠈⠹⣄⠀⠀⠀⠀⠀⠠
⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠈⠳⣄⡀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⢾⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠙⠳⠶⠖
⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡿⠛⠒⣦⣄⣀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⣴⠶
⠀⠀⠀⠀⢠⢟⣿⣿⣿⣿⣿⠇⠀⢸⠃⠀⠉⠛⡷⠶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠁⠀⠉⠻⣿⣿⣿⣧⡀⣇⠀
⠀⠀⠀⣰⡟⣼⣿⣿⣿⣿⣿⡀⠀⠸⣆⣀⡤⠞⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣧⠸⡀
⠀⠀⢠⡿⠀⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠤⣤⣤⠤⣤⣤⣄⣀⣸⣿⣿⣿⡆⢷
⠀⠀⣾⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⠿⠟⠛⠛⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢹⡀⠀⢀⣼⠃⠀⣿⣿⣿⣿⣷⠀
⠀⠀⣿⠣⠀⣈⣿⣿⣯⣭⣍⠙⢧⣿⣿⣿⠟⠋⠁⠀⠀⢀⣀⣠⣤⣀⡀⠀⠀⠉⠻⢿⣿⣿⣿⣧⠀⠀⠻⠶⠚⠁⠀⣸⣿⣿⣿⣿⣿⠀
⠀⠀⣿⣿⣿⣿⡁⠀⠀⠉⠁⣠⠏⢸⠁⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠙⢿⣿⣿⣷⣄⡀⠀⠀⣀⣴⣿⣿⣿⣿⣿⡏⠀
⢀⣤⣿⣿⣿⣛⠛⠀⠀⣠⡾⠋⢀⣾⡇⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀
⣿⣿⢿⣿⣿⣿⣷⣄⢾⠟⠁⣠⡾⢻⡿⢦⣄⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀
⣟⣿⣿⣿⣷⡙⣿⣿⠋⠀⢀⡟⣳⣾⣷⡄⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⠿⣿⣿⣿⣿⠿⠋⠀⠀⢠
⣼⣿⣿⣿⣿⡇⣿⣿⠀⡶⣿⣷⣿⣿⣿⣿⠆⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇
⠻⣿⣛⣛⣋⡼⢿⡿⠈⣼⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀
⠀⢈⣉⣉⠁⢸⡟⢀⣼⡇⠀⠠⢽⣿⣿⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠟⠀⠀
⣶⢿⣿⣷⡾⣾⢁⣾⣿⣧⣄⠀⣸⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⣾⣿⣿⠟⠋⠀⠀⠀⠀
⣟⣼⠿⠿⢳⣿⣿⣣⣼⠋⠛⠛⠛⠉⠉⢶⣄⣰⠇⠀⠀⠀⠈⠉⠉⠉⠛⠛⠛⠻⢿⣛⡛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣭⣭⣽⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⣚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠦⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀