by Monarch'Wing/Moa Emojis & Text

⬜️⬜️ ⬜️⬜️ ⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️ ⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️ ⬜️⬜️⬛️⬛️⬛️⬜️⬛️⬛️⬛️⬜️ ⬜️⬜️⬜️⬜️⬛️⬜️⬜️⬜️⬛️⬜️ ⬜️⬜️⬜️⬜️⬜️🔳⬜️⬜️⬜️ ⬜️⬜️⬜️⬜️⬜️⬜️⬜️⬜️

／＞　 フ | 　_　_| ／` ミ＿xノ /　　　　 | /　 ヽ　　 ﾉ │　　|　|　| ／￣|　　 |　|　| (￣ヽ＿_ヽ_)__) ＼二)

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／＞　 フ | 　_　_| ／` ミ＿xノ /　　　　 | /　 ヽ　　 ﾉ へ ╱|、 ♡ ╱|、 │　　|　|　| ૮ - ՛ ) (˚ˎ 。7 (` - 7 ／￣|　　 |　|　| / ⁻ ៸| |、˜〵 |、⁻〵 (￣ヽ＿_ヽ_)__) 乀 (ˍ, ل ل じしˍ,)ノ じしˍ,)ノ ＼二)

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╱|、 (˚ˎ 。7 |、˜〵 じしˍ,)ノ

＿＿ 　　　　　🌸＞　　フ This is Jane 　　　　　| 　_　 _ l She is sad because she has cancer 　 　　　／` ミ＿xノ Hit the like to save her 　　 　 /　　　 　 | 　　　 /　 ヽ　　 ﾉ 　 　 │　　|　|　| 　／￣|　　 |　|　| 　| (￣ヽ＿_ヽ_)__) 　＼二つ

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╱|、 (•˕ • 7 |、⁻〵ノ) じしˍ,)ノ

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⠟⠉⠉⠻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠿⠉⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⡿⠛⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣶⣶⣦⣤⣤⣄⡀⠀⢀⣠⣾⣿⠿⠋⠀⠀⠀⠀⠀⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠶⠞⣿⠟⠋⠉⠉⠙⣻⠿⢿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⢀⡼⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⢠⡞⠁⠀⠀⠀⢀⡴⠋⠀⢀⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⢠⠏⠀⠀⠀⠀⣰⠏⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡥⠤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣇⠀⣠⡏⠀⠀⠀⠀⣼⠁⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣄⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡶⠋⠀⠀⠀⠀⢸⣧⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⣾⡿⠿⣿⡿⠁⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳ ⠀⠀⠀⠀⠀⠀⢀⣾⠿⠛⢿⣿⣷⣄⡀⣿⠃⠀⠈⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣤⣦⣼⣿⠀⠀⠀⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⣿⢷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣾⡿⠋⠉⠉⠁⠀⠀⠀⠀⠉⢯⡙⠻⣿⣿⣷⣤⡀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡿⠃⢀⡤⠖⠋⣉⣉⣉⣉⠉⠉⠒⠦⣄⠀⠀⠀⢀⡟⡿⢿⣿⣟⣻⣮⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⠋⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠙⢦⣄⠉⠻⢿⣿⣷⣦⡀⠀⠈⠙⠛⠛⠋⠀⢰⠟⡇⠀⠀⠈⠻⡿⠛⠁⠀⠀⠀⠈⠳⣄⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⣴⠟⣫⣿⣿⣄⠀⠀⠀⠀⡶⢌⡙⠶⣤⡈⠛⠿⣿⣷⣦⣀⠀⠀⠀⠀⡇⠀⢻⣄⠀⠀⣠⢷⠀⠀⠀⠀⠀⡶⠀⠘⡆⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⢸⣟⢸⣿⣿⣿⣿⠀⠀⠀⠀⡇⠀⠈⠛⠦⣝⡳⢤⣈⠛⠻⣿⣷⣦⣀⠀⠀⠀⠀⠈⠙⠋⠁⠀⠛⠦⠤⠤⠚⠁⠀⠀⢳⠀⠀⠀⠈⠛⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠈⢿⣞⣿⣿⣿⠏⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠙⠳⢬⣛⠦⠀⠙⢻⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⠀⠉⠛⠋⠁⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⣿⠉⢻⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⠀⠀⣠⣄⠀⠀⢰⠶⠒⠒⢧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡇⢸⡟⢿⣷⣦⣴⣶⣶⣶⣶⣤⣔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⣤⠀⠀⠿⠿⠁⢀⡿⠀⠀⠀⡄⠈⠙⡷⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡇⢸⡇⠀⣿⠙⣿⣿⣉⠉⠙⠿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠙⠷⢤⣀⣠⠴⠛⠁⠀⠀⠀⠇⠀⠀⡇⢸⡏⢹⡷⢦⣄⡀⠀⠀⠀⣿⡀⢸⡇⢸⡇⠀⡟⠀⢸⠀⢹⡷⢦⣄⣘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠢⣤⡀⠀⠀⠀⠀⠀⠀⣠⠾⣿⣿⡷⣤⣀⡇⠸⡇⢸⡇⢸⠉⠙⠳⢦⣄⡻⢿⣾⣧⣸⣧⠀⡇⠀⢸⠀⢸⡇⢤⣈⠙⠻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣿⣷⣌⡉⠛⠲⢶⣶⠖⠛⠛⢶⣄⡉⠛⠿⣽⣿⣶⣧⣸⡇⢸⠀⠀⠀⠀⠈⠙⠲⢮⣝⠻⣿⣷⣷⣄⣸⠀⢸⡇⠀⠈⠁⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⠻⢿⣷⣶⣤⣉⡻⢶⣄⣀⠈⠙⠳⢦⣈⡉⠻⢿⣿⣷⣾⣦⡀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢭⣛⠿⣿⣷⣼⡇⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣷⣶⣽⣻⡦⠀⠀⠈⠙⠷⣦⣌⡙⠻⢿⣟⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢯⣻⡇⠀⠀⠀⠀⠀⢸⣿⠀⣀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⢀⡏⠙⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⣿⣿⣶⣤⣤⣤⣀⣈⠛⠷⣤⣈⡛⠷⢽⡻⢶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠳⢤⣀⠀⠀⢸⣿⡀⠈⠳⢤⣀⣀⣰⠃⠈⠛⠶⠶⠿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⡿⠛⠉⠙⠛⠛⠻⢷⣦⣄⣩⣿⠶⠖⠛⠛⠛⠛⠛⠛⠿⢷⣶⣦⣄⠀⠀⠀⠀⠉⢻⣶⣿⣿⠇⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⠋⠀⠀⠀⠀⠀⣠⠖⠂⠀⠀⠀⠈⠙⠿⣿⣦⡄⠀⠀⣸⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣰⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣶⣄⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠙⢿⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⠦⠠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⠤⠄⠙⡿⠿⠦⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

please dont post gross stuff on here!! kids who are young like probably 9 year olds are just trying to find cute combos. spread the word (≧ヮ≦) also people who are spreading the word, please do not put curse words. its the same example for kids with the gross things but with curse words. thanks love<3 bye!! /ᐠ - ˕ -マ

∧,,,∧ ╱|、 ( ̳• · • ̳)ㅤ ♡ (˚ˎ 。7 / づ |、˜〵 ㅤ じしˍ,)

/\__/\ ꒰ ˶• ༝ •˶꒱ ~♡︎ / v v \ | | づ__づ

⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⣿⠟⠁⠀⠀⠀⠹⣿⣿⣿⣿⣿⠟⠁⠀⠀⠹⣿⣿⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⢼⣿⠀⢿⣿⣿⣿⣿⠀⣾⣷⠀⠀⢿⣿⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣿⣿⣷⡀⠀⠀⠈⠋⢀⣿⣿⣿⣿⣿⡀⠙⠋⠀⢀⣾⣿⣿⠀⠀⠀⠀⠀ ⢀⣀⣀⣀⣿⣿⣿⣿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣾⣿⣷⣦⣤⣴⣿⣿⣿⣿⣤⠤⢤⣤⡄ ⠈⠉⠉⢉⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⡀⠀ ⠐⠚⠋⠉⢀⣬⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣥⣀⡀⠈⠀⠈⠛ ⠀⠀⠴⠚⠉⠀⠀⠀⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⠁⠀⠀⠀⠉⠛⠢⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠿⠿⠿⠿⠿⠛⠛⡉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣶⣖⡄⣅⠢⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⣪⠴⣐⠦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡏⡎⡥⢋⣂⠙⢤⣄⡀⠀⠀⠀⠀⢀⣀⣀⡠⣄⠀⢀⠀⠀⠀⠀⣀⣀⡤⣒⠵⣓⠒⠷⢮⡸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣟⣧⠻⢩⠼⢮⣔⢈⢺⣿⡋⠱⢯⠋⡬⢩⠴⠁⣩⠩⣻⠓⢩⠓⣟⣩⣊⢴⣨⣍⡉⠿⣭⡷⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣓⣝⢺⣳⣷⣷⠃⠉⠃⠀⣿⠔⠃⡘⠄⡞⠁⣼⠀⠀⠀⠋⢨⣷⠿⠷⣚⢯⣐⣿⣹⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣟⢋⣁⠒⢲⡄⠀⢠⣅⠠⢸⢠⢼⠑⢀⠈⠄⠀⠀⠀⠈⠐⣉⡽⣿⣷⣿⣿⠙⠀⠠⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣾⣿⢿⣷⣎⣯⢦⡀⠠⣀⣻⣷⣈⣷⣸⢄⣿⠏⠁⠀⠀⠀⠀⢁⡕⣜⡫⣿⣋⡁⣟⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⢹⣿⣿⡽⠷⣏⠢⠉⢹⣷⠃⢿⡇⣿⣿⢸⡟⠀⠤⠄⡂⠀⠀⠉⠘⣤⣎⣽⡿⠃⠁⠄⠐⠀⠁⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⠄⢻⡝⣛⡇⠒⣁⢀⣈⣿⠀⣸⠓⢻⡾⢸⡂⠀⡯⠕⠀⠀⠀⠀⠀⠀⠃⠙⠀⠀⠃⠂⠔⠀⡁⠀⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⡲⣌⠙⣑⣆⣴⣶⣿⣿⣷⢤⣇⠀⠸⡠⠈⡷⠈⣥⣷⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉⢈⢀⠐⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣭⣾⢿⢻⣿⣿⣿⣿⣿⣞⣿⣆⣀⠀⠸⠀⣼⣿⣿⣿⣿⣿⠃⢠⣀⠀⠀⢀⠀⠀⢃⢀⠈⠌⠀⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣹⣦⣿⣿⣿⣿⣿⣿⡇⠈⠁⣀⠀⠀⢀⠻⣿⣿⣿⣿⠟⠀⠠⠛⠆⠀⠀⠀⠁⠈⢁⢂⠂⠄⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣹⣯⣿⣾⣡⣁⣴⣿⣶⣿⠗⠀⠐⢾⣽⣦⠀⢉⡁⠀⣒⡧⠊⠀⠐⠀⠀⠀⠀⠁⠀⠀⠀⠎⠊ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣽⣟⣽⣷⡶⡽⠉⢻⣿⣆⣱⣶⡾⠉⠀⢍⣄⣲⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣯⣽⠤⡃⠀⠀⠀⣀⣈⣻⣿⣡⠀⡀⠀⠀⠀⠈⠀⡀⡠⠷⠂⠀⠀⠀⠀⠄⠈⠈⢈⠀⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣚⣯⣶⢯⣩⣗⢤⢚⣻⡶⠿⠿⠿⣧⠆⠀⠁⢤⠀⠐⠈⠀⡀⠀⠀⠀⠀⠀⡀⠀⠈⠈⠀⢀⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣨⢟⣿⣿⣿⣿⣮⣷⣯⣤⣂⣅⢂⣐⣠⢴⣸⣄⣆⢠⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⡈⡀⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣺⢾⣻⢿⣿⣿⣿⣿⡿⣿⣽⣻⢿⣿⡳⣿⠿⠟⠋⡀⠩⠆⠂⠀⠀⠀⠀⠀⠀⠀⠢⠠⠐⠈⠀⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣫⢾⠿⢷⣝⠎⣿⠽⢿⣿⣷⠹⠆⠁⠧⢀⡔⡦⠚⠑⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡐⠀⠀⠂⠀⠀⢸⣿⣥⣛⡞⠯⢇⡚⠤⢻⠒⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡁⠀⠀⠈⠈⠀⠀⠀⢀⣾⣛⣯⢽⣌⣚⡤⣹⣳⠕⣂⡀⠉⠀⠘⠀⠀⠀⠀⠀⠀⠀⣀⣄⠀⠀⠠⠀⠀⠀⠀⠡⠁⠀⠀⠀⠄⠀ ⢰⠀⠀⠀⠀⠀⠀⠀⠀⣟⣿⡺⣭⣿⣿⣷⣏⣼⢷⢚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠋⠜⠫⠍⠀⠀⠄⠊⠀⠀⠀⠐⠀⠀⠀⠀ ⢢⠄⠀⠀⠀⠀⠀⠀⠀⢿⣿⡝⢿⣿⣿⣿⣿⣼⢩⡝⡌⡅⠠⠀⠀⠀⠀⠀⠀⠠⣷⡖⣴⣴⠰⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀ ⢌⡃⠀⠀⠀⠀⠀⠀⠀⠙⣷⡺⣓⢾⣿⢿⣿⣏⢎⡴⢦⢡⡀⠀⠀⠀⠀⠀⠀⠰⣿⢻⡃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠁⠀⠌ ⡘⠶⡀⠠⠈⣢⠄⠄⢄⠀⢹⣿⠼⣣⣿⣿⣿⣿⢼⢧⣓⡊⣇⠈⠀⠀⠀⠀⠀⠰⣷⠊⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠄⠀⠈ ⡹⡜⣧⣮⣯⣕⢳⢤⣀⡀⢘⢆⡵⣹⢏⣿⣿⣯⣷⣻⣷⡃⣞⡆⠇⡄⠀⠀⠀⢲⢣⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠐⡀⠆⠠ ⣳⡝⣾⡿⣿⣿⣻⣿⣿⣷⢻⢿⣶⢟⣞⣾⣿⣿⣾⡏⡇⣳⣸⡆⢰⢦⠀⢀⠠⢸⡷⡄⠶⡠⠀⠀⠀⠀⠀⠀⠂⠀⠀⠠⠁⠄⠀ ⣷⣻⣿⣿⣏⣿⣽⢿⣿⣿⡞⠁⣁⡀⡇⠙⢿⣿⡿⣼⣷⡿⣾⣠⢸⡀⢠⢨⣌⢺⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢄ ⡷⣭⣿⣯⣿⣿⣟⣻⣿⣿⣧⣊⠋⠉⢀⣰⣿⣻⢧⡿⡟⣻⣷⠻⡿⣗⠋⣮⣿⣿⣛⡄⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠅⠈ ⣿⣼⣻⣿⣿⣾⣿⣿⣿⣿⣟⣿⣿⣿⣿⢃⠍⣻⣻⣴⣿⡿⢳⣷⣎⣧⢷⢾⣼⣿⠷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠎⠁ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡾⣿⢾⣿⣿⡆⣾⢽⢱⢯⢻⣣⠿⣽⠻⢻⢽⡼⠧⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣻⣿⣿⡿⣽⢾⣎⣞⣧⣀⡷⢁⢤⣯⠛⠃⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢝⡹⢚⡿⡟⣿⣻⣿⣿⣿⣿⣿⣿⣿⢿⣹⢮⣟⣾⢿⣿⣷⣧⣾⣯⣷⡆⣿⡤⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠈⠁⠉⠁⠙⠹⠯⠟⡟⣿⣻⣿⡼⠥⢛⣼⣹⢞⠿⣿⣿⠉⠛⠋⠉⠉⠀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠈⠀⠙⠳⣮⠉⢠⠀⠈⠀⠹⣧⠀⢀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠘⠳⠤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀(=✪ᆽ✪=)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠋⠙⢦⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠛⠉⠀⠈⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⢀⣠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣠⣴⣶⡿⢿⣷⣤⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⠋⠉⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡾⠟⠻⣷⠀⠀⣀⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⠀⠀⢀⣿⣤⡾⠛⠉⠈⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡟⠁⣠⣶⣆⣸⡟⠋⠀⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⢀⣴⡾⠛⢹⡿⠀⢰⣿⠿⠛⠛⣷⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢤⣿⡇⠀⢀⣴⠟⠁⠀⠀⣿⡇⢠⡿⠁⠀⠀⢀⣿⠟⠻⢷⣦⠀⠀⠀⠀⠀⠸⣟⠻⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣴⡿⠁⠀⠀⠀⠀⠙⠷⢾⡇⠀⠀⢠⣾⣯⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⣿⠀⠈⢻⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣤⣶⣟⢃⡿⠀⠀⣰⡿⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠹⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠙⠋⠁⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⢀⣴⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿ ⠀⠀⣴⣶⣄⠀⠀⢠⣿⠀⠀⠀⢀⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⣿⣿⣿⠀⣰⠾⣿⠀⠀⠀⠹⠿⠿⠶⠃⠀⠀⠀⠀⠀⠐⠶⠶⠶⠶⠶⣶⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿ ⠀⠀⠈⠉⠁⠀⠻⣤⣿⡄⠀⠀⠀⠀⢀⣴⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠠⡘⠓⠾⣷⡾⠃⠀⠀⠛⠷⢶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⡀⠀⠀⠀⠄⠀⠀⠀⠀⢠⣄⡀⠀⠀⠀⠙⠛⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠛⢿⣦⡀⠀⠀⠂⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠏⠀⠀ ⠀⠀⠀⢀⣠⣴⡾⠟⠉⠀⠀⠀⠙⠻⣶⣤⡈⠀⠀⠀⠀⠀⠀⠈⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠃⠀⠀⠀ ⣤⣶⣾⣿⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢷⣶⣄⣀⡀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠟⠉⠀⠀⠀⠀⠀ ⢻⣇⠀⣹⢹⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢁⡽⣛⣿⡿⠶⣶⣶⣶⣦⣤⣶⣶⣶⠶⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⣶⢇⣾⠇⠈⠙⢷⣄⠀⠀⠀⠀⠀⠀⢸⣿⠛⠁⣾⠏⠑⢄⣈⠙⣷⡤⠠⠠⣀⠿⣷⣶⣶⠾⢶⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⣿⡾⠃⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⢸⡏⠀⠀⣿⠀⢀⣥⣾⡷⢿⣿⠀⡜⠁⠀⢸⡏⠀⠀⣸⣿⣄⡁⠀⠀⠀⠀⠀ ⠀⠀⢹⣷⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⢸⡇⠀⠒⠾⣿⡟⠉⠀⠀⠁⢿⣦⡐⢄⣀⡈⠻⣶⣾⣿⣥⣿⣿⡆⠀⠀⠀⠀ ⠀⠀⠘⣿⣧⣤⡶⠶⠾⠛⠁⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⢘⣿⡄⠀⠀⠀⠀⠹⣷⡤⣤⣀⣠⣴⡿⠋⣻⣷⣾⠃⠀⠀⠀⠀

/ᐠ マ ദ്ദി ˉ͈̀꒳ˉ͈́ )✧

A_A (•^ •) ＿ノヽ ノ＼＿ `/　`/ ⌒Ｙ⌒ Ｙ ヽ ( 　(三ヽ人　 /　 | |　ﾉ⌒＼ ￣￣ヽ ノ ヽ＿＿＿＞､＿_／ ｜( 王 ﾉ〈 /ﾐ`ー―彡\ / ╰ ╯ \ / /ᐠ.. ᐟ\ ( oo)

∧,,,∧ (  ̳• · • ̳) / ,   ,\⋆˚🐾˖°𓃠

⠀⠀⠀⠀⢠⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣶⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⡏⠙⠻⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⣿⡿⠋⢹⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⡀⠀⠈⠻⣮⡛⢶⣄⣀⣀⣀⣠⣄⣀⣀⣀⣀⡴⠟⣡⡾⠋⠀⠀⣾⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⣨⡷⠞⠛⠉⠁⠀⠀⠀⠀⠈⠉⠙⠳⢾⣏⡀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣄⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢶⣀⡾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡟⠁⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠻⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠹⣦⠀⣀⠀⠀⣀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠁⠀⠸⢶⡶⣤⣤⣀⣙⠃⣸⠀⠀⣿⠀⣏⣀⣤⣤⢶⡶⠖⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⠀⠀⠀⠈⠷⣤⣯⣤⠿⢇⡿⠀⠀⢹⡼⠿⢦⣌⣥⠾⠃⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀ ⣤⣤⣤⣤⣀⣸⣆⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⣀⣀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⢀⣟⣀⣠⣤⣤⣤⠄ ⠀⠀⠀⠀⠀⠉⢻⡟⠛⠶⢤⣄⣀⣴⠋⠹⢯⣍⢉⣽⠟⠙⢷⣄⣠⡤⠶⠞⢛⡿⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣦⣀⣀⣸⣟⣻⠆⠀⣀⣽⣿⣁⠀⠀⢞⣛⣧⣀⣀⣠⡟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⡴⠞⠛⠉⠉⠛⢯⣿⡉⠉⣠⡾⠋⠀⠀⠉⠻⣄⠈⢉⣽⡷⠟⠉⠉⠛⠳⠶⣤⣀⠀⠀⠀ ⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠙⠳⠦⣤⣤⠴⠞⠋⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀

/\___/\ ꒰ ˶• ༝ - ˶꒱ ./づᡕᠵ------0~ - - - - . shoot!

∧,,,∧ (• ⩊ •) |￣U U￣￣￣￣￣￣￣￣￣| | no inappropriate stuff pls + thanks ˚. ✦.˳·˖✶ ⋆.✧̣̇˚. | ￣￣￣￣￣￣￣￣￣￣￣￣✮ ⋆ ˚｡𖦹 ⋆｡°✩˚. ✦.˳·˖✶ ⋆.✧̣̇˚.˚. ✦.˳·˖✶ ⋆.✧̣̇˚.˚. ✦.˳·˖✶ ⋆.✧̣̇˚.

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣇⠀⠀⠀⠀⠉⠉⠈⠁⠀⠀⠀⠀⠀⠠⢏⡼⣰⠎⠋⣿⣿⠀⠀⠀⠀⠀⠀⠀⢹⣿⣧⣶⣶⣾⣷⣶⣶⣄⠀⠀⠀⠀⠰⡉⣀⠃⠀⠀⢸⣿⣯⢷⡹⣎⠷⣎⢷⡹⢶⣭⣛⠾⣜⡻⢿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⡟⣯⡝⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣶⣿⣿⠀⠀⢠⠐⠂⡄⠀⢸⣿⡟⠛⠉⠉⠁⠉⠉⠁⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⣿⣿⣷⡹⣞⡽⣚⢧⣛⠷⣮⣝⡻⣼⡹⣏⢾⣻⢿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣟⡻⢶⡹⢶⡹⡽⣿⣷⠀⠀⠀⠀⢀⠆⢒⡀⠀⠀⠀⣴⡿⠟⠛⠋⠙⠉⠻⣿⣧⠀⠰⣘⠲⠈⠀⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣳⡝⡾⣭⢳⣏⡟⡶⣭⢳⢧⡻⣜⢧⣛⢮⣛⠿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣿⣿⡿⣏⠷⣮⡝⣧⣛⢧⡻⣵⣻⣿⡇⠀⠀⠀⠐⠢⡍⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⣄⠀⠀⣀⣴⣿⡟⠀⠀⠀⠀⢰⡲⠉⣓⢲⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣷⣏⠷⣭⢳⢮⣝⡳⣭⣛⢮⡳⣝⡮⣝⡮⣝⡻⢶⣹⢻⢿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣾⣿⡿⣏⠷⣭⣛⢶⡹⣖⢯⡳⣝⠶⣽⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⢨⣿⣿⣿⣿⡿⣿⣿⣿⣦⣀⠀⠀⠱⣦⡀⡜⢋⡜⠀⠀⠀⠀⠀⡔⢂⡆⠀⠀⠀⢹⣿⣯⢻⡜⣯⢞⡼⣳⢧⣛⢮⢷⡹⣞⡵⣻⢼⡹⢧⣏⡟⣮⣝⡻⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⣿⣿⡹⣎⡟⣶⡹⣎⢷⡹⣎⠷⣭⣛⢾⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⢋⠼⣮⣿⡟⢹⣷⣣⢟⡼⣿⡌⠛⢿⣷⣦⣀⡁⠉⠉⠃⠀⠀⠀⠀⠀⠀⠰⠤⠙⠀⠀⢀⣾⣿⢿⣷⡻⣜⢯⡞⣵⢫⡞⡽⣎⢷⡹⣞⡵⣫⣝⡳⢮⣝⠶⣭⢳⢧⣛⢿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⣿⣟⠶⣝⡮⣝⡶⣽⡹⣎⢷⣹⣛⠶⣭⢿⣿⣿⣤⠀⠀⠀⠀⠀⢀⠄⠤⠀⠀⠀⠀⠀⠐⢯⣠⣾⣿⠏⢀⣼⡿⣜⢯⡞⣽⣻⢷⣶⣿⡿⠿⣿⣿⣶⣤⣄⣀⣀⠀⠀⠀⠀⠀⣀⣠⣴⣾⡿⠃⢀⣿⣳⡝⣮⡝⣮⢳⣝⡳⣝⢮⡳⣝⢾⡱⣮⣝⡳⢮⣻⡜⣯⢞⡽⣺⣜⡻⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣏⠿⣜⡳⣝⢾⣱⢻⡜⣧⡳⣭⢻⡜⣿⣿⡗⠎⠀⠀⠀⠀⠀⠘⠎⣄⠣⠀⠀⠀⠀⣠⣿⣿⠟⣿⡿⣟⢯⡳⣝⡮⣝⢶⡹⣎⢷⡻⣷⣄⣀⣉⣻⣿⠿⠿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣯⣤⣴⣾⢿⣱⣛⢶⡹⢧⡻⣜⡳⣽⢺⡝⣮⢳⡝⡶⣭⣛⢧⡳⣝⢮⡻⣜⡳⣎⠷⣭⢻⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣎⠿⣼⡹⣎⠷⣭⡳⣽⢲⡝⣧⣛⡞⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⡿⠟⠁⣠⣿⡳⣝⢮⡳⣝⣾⣹⣎⣷⣹⣎⣷⣹⣛⣿⢻⣛⡿⣶⣤⣤⣴⣿⣧⣄⣀⣠⣼⡿⣝⢯⡝⣮⢳⢧⣛⢮⣝⡳⣿⣿⡵⣫⢷⡹⣎⢷⣹⢳⢧⣛⢮⣝⢮⡳⣝⢮⣳⢭⡟⣼⢳⣎⠿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⣿⣯⡟⣶⡹⣞⡽⣲⡝⣮⢳⡽⣲⡝⣞⣿⢿⣿⣦⣀⡀⠀⠀⢀⣀⣠⣴⣾⣿⡿⠟⢻⣿⡶⣿⢟⣳⣽⣾⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣷⣿⣽⣭⣗⣧⢻⡽⣛⢯⣏⢷⡹⢮⣝⢮⣛⢮⡝⡾⣜⡳⡽⣿⣿⡵⣫⢷⡹⣎⢷⣫⢞⡽⣺⡜⣧⢟⣮⢳⡝⣮⡝⣮⢗⣮⢻⣜⣻⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠻⣿⣿⣷⣽⣎⣷⣣⣟⣼⣣⣟⣵⣻⣜⣿⣆⠉⠛⠿⣿⣿⣿⡿⠿⠿⢿⣯⣥⣤⣴⣿⣳⣽⣾⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⢿⣷⣯⣽⡞⣼⢣⣟⡳⢮⡻⣜⢧⡻⣵⢫⢷⡹⡽⣿⣿⣧⢏⡷⣹⢎⡷⣫⢞⡵⣻⡜⣯⠞⣧⣛⠶⣝⢮⡻⣜⡳⣎⢷⣚⣿⣿⣷⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠟⠛⠻⣦⣤⣤⣶⡿⣏⠿⣭⣷⣿⠟⠋⠁⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣷⣮⣝⡳⣝⢮⡳⣝⢮⣛⢮⡳⣽⡹⣿⣿⣾⡱⣏⡾⣱⢏⡾⣱⢧⡻⣜⡻⢶⣭⣛⢮⢷⡹⣎⢷⡹⣎⠷⣎⢿⣿⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠁⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡿⣱⢻⣜⣿⣿⠟⠁⠀⢠⣴⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣾⣽⣎⠷⣝⣮⢳⣭⡳⣽⢲⡽⣹⢿⣿⣷⡝⣾⡱⣏⢷⡹⣎⠷⣭⣛⠷⣮⡝⣮⢳⣝⢮⣏⠷⣭⣛⢮⣳⢻⣿⣿⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠷⣭⣳⣾⣿⠃⠀⠀⣰⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣜⢮⡳⣎⠷⣭⡳⣝⢧⣛⣿⣿⣿⣶⡹⣎⠷⣝⢾⡹⢧⣏⡟⣶⡹⣎⠿⣜⡳⣎⡟⡶⣭⡳⣭⢳⡻⣿⣿⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⡶⣿⣿⠁⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣧⡟⣼⣛⠶⣝⣮⢳⡝⣶⢻⣿⣿⣷⣭⣛⢮⡳⣝⡳⢮⣝⠶⣝⢾⡹⣎⢷⡹⣞⡵⣳⡝⣮⢷⡹⡽⣿⣿⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣯⢽⣿⡇⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣵⢫⡟⡼⣎⢷⡹⣎⢷⣛⣿⣿⣷⡽⢮⣝⢾⣹⢳⣎⡟⣮⢳⡝⣮⢏⡷⣹⢞⡵⣻⡜⣧⢻⡵⣻⣿⣿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣯⢿⣿⠂⠀⠀⠀⠀⠈⠙⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣶⡀⠀⠀⠀⠻⣿⣧⡻⣵⢫⣞⡳⡽⣎⢷⣚⢿⣿⣿⣿⣜⢧⣏⠷⣮⡝⣞⢧⡻⣜⢯⡞⣵⢫⡞⣵⢻⡜⣧⢻⡵⣿⣿⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠾⠛⠷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠹⣿⣷⢭⡳⣎⠷⣝⢮⡳⣝⢮⣛⣿⣿⣿⣷⣎⡟⣶⡹⣎⢷⣹⢮⡳⣝⢮⡳⡽⣎⢷⡹⣎⢷⡹⣽⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠹⣿⣷⡹⣞⡽⣎⠷⣝⣮⢳⡝⣶⣛⢿⣿⣿⣿⣶⡹⣝⢮⡳⣏⢷⡹⣎⠷⣝⢮⡳⣽⡹⣎⠷⣽⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⠶⠾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢿⣿⣳⡝⡾⢭⣛⠾⣜⢧⣛⢶⡹⣎⣿⣿⣿⣿⣿⣾⣧⡻⣜⢧⣻⡜⣯⡝⣾⡱⢧⣻⡜⣯⣿⣿⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⠘⣿⣷⡹⣝⢧⣏⡟⣮⢻⡜⣧⣛⣾⣿⡿⠁⠈⠛⢿⣿⣿⣿⣮⣷⣹⢶⡹⣖⢯⣛⣶⣽⣾⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣶⣶⣦⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡳⣝⠾⣼⡹⣎⢷⡹⣶⣿⣿⡟⠁⠀⠀⠀⠀⠈⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣷⣦⣀⠀⣠⣾⠟⠋⠁⠀⠀⠉⠙⠿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢵⣫⢟⡶⣹⢎⣷⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣟⢮⡳⣏⢾⣵⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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/| _ ╱|、 ( •̀ㅅ •́ ) ＿ノ ヽ ノ＼＿ /　`/ ⌒Ｙ⌒ Ｙ　 \ ( 　(三ヽ人　 /　 　| |　ﾉ⌒＼ ￣￣ヽ　 ノ ヽ＿＿＿＞､＿＿／ ｜( 王 ﾉ〈 /ﾐ`ー―彡\ |╰ ╯| | /\ | | / \ | | / \ | ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you

⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡞⠀⠉⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠘⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⣼⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⠀⠀⠈⠀⠀⣙⡶⠒⠒⠒⠒⠺⢧⡀⠀⠀⠘⡇⠀⠀⠀⠀ ⠀⠀⠀⠘⡇⠀⠀⡴⢋⣁⣀⣀⡀⠀⢀⣤⡤⣷⡀⠀⠀⡇⠀⠀⠀⠀ ⠁⠀⠀⠀⡇⠀⠀⠀⡏⠀⣿⣷⡇⠆⣿⣯⡇⠀⢣⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⡆⠀⠀⠑⠤⠿⠗⣃⢀⢿⣻⣃⣀⡼⠀⡼⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢦⣀⡀⠀⠀⢈⡿⢯⡀⠀⠀⠀⢀⡔⠁⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⠟⠉⠉⠻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠿⠉⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⡿⠛⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣶⣶⣦⣤⣤⣄⡀⠀⢀⣠⣾⣿⠿⠋⠀⠀⠀⠀⠀⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠶⠞⣿⠟⠋⠉⠉⠙⣻⠿⢿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⢀⡼⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⢠⡞⠁⠀⠀⠀⢀⡴⠋⠀⢀⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⢠⠏⠀⠀⠀⠀⣰⠏⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡥⠤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣇⠀⣠⡏⠀⠀⠀⠀⣼⠁⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣄⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡶⠋⠀⠀⠀⠀⢸⣧⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⣾⡿⠿⣿⡿⠁⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳ ⠀⠀⠀⠀⠀⠀⢀⣾⠿⠛⢿⣿⣷⣄⡀⣿⠃⠀⠈⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣤⣦⣼⣿⠀⠀⠀⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣾⡿⠋⠉⠉⠁⠀⠀⠀⠀⠉⢯⡙⠻⣿⣿⣷⣤⡀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡿⠃⢀⡤⠖⠋⠉⠉⠉⠉⠉⠉⠒⠦⣄⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣿⠋⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠙⢦⣄⠉⠻⢿⣿⣷⣦⡀⠀⠈⠙⠛⠛⠋⠀⢰⠟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⣴⠟⣫⣿⣿⣄⠀⠀⠀⠀⡶⢌⡙⠶⣤⡈⠛⠿⣿⣷⣦⣀⠀⠀⠀⠀⡇⠀⢻⣄⠀⠀⣠⢷⠀⠀⠀⠀⠀⡶⠀⠘⡆⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⢸⣟⢸⣿⣿⣿⣿⠀⠀⠀⠀⡇⠀⠈⠛⠦⣝⡳⢤⣈⠛⠻⣿⣷⣦⣀⠀⠀⠀⠀⠈⠙⠋⠁⠀⠛⠦⠤⠤⠚⠁⠀⠀⢳⠀⠀⠀⠈⠛⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠈⢿⣞⣿⣿⣿⠏⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠙⠳⢬⣛⠦⠀⠙⢻⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⠀⠉⠛⠋⠁⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⣿⠉⢻⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⠀⠀⣠⣄⠀⠀⢰⠶⠒⠒⢧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡇⢸⡟⢿⣷⣦⣴⣶⣶⣶⣶⣤⣔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⣤⠀⠀⠿⠿⠁⢀⡿⠀⠀⠀⡄⠈⠙⡷⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡇⢸⡇⠀⣿⠙⣿⣿⣉⠉⠙⠿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠙⠷⢤⣀⣠⠴⠛⠁⠀⠀⠀⠇⠀⠀⡇⢸⡏⢹⡷⢦⣄⡀⠀⠀⠀⣿⡀⢸⡇⢸⡇⠀⡟⠀⢸⠀⢹⡷⢦⣄⣘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠢⣤⡀⠀⠀⠀⠀⠀⠀⣠⠾⣿⣿⡷⣤⣀⡇⠸⡇⢸⡇⢸⠉⠙⠳⢦⣄⡻⢿⣾⣧⣸⣧⠀⡇⠀⢸⠀⢸⡇⢤⣈⠙⠻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣿⣷⣌⡉⠛⠲⢶⣶⠖⠛⠛⢶⣄⡉⠛⠿⣽⣿⣶⣧⣸⡇⢸⠀⠀⠀⠀⠈⠙⠲⢮⣝⠻⣿⣷⣷⣄⣸⠀⢸⡇⠀⠈⠁⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⠻⢿⣷⣶⣤⣉⡻⢶⣄⣀⠈⠙⠳⢦⣈⡉⠻⢿⣿⣷⣾⣦⡀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢭⣛⠿⣿⣷⣼⡇⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣷⣶⣽⣻⡦⠀⠀⠈⠙⠷⣦⣌⡙⠻⢿⣟⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢯⣻⡇⠀⠀⠀⠀⠀⢸⣿⠀⣀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⢀⡏⠙⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⣿⣿⣶⣤⣤⣤⣀⣈⠛⠷⣤⣈⡛⠷⢽⡻⢶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠳⢤⣀⠀⠀⢸⣿⡀⠈⠳⢤⣀⣀⣰⠃⠈⠛⠶⠶⠿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⡿⠛⠉⠙⠛⠛⠻⢷⣦⣄⣩⣿⠶⠖⠛⠛⠛⠛⠛⠛⠿⢷⣶⣦⣄⠀⠀⠀⠀⠉⢻⣶⣿⣿⠇⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⠋⠀⠀⠀⠀⠀⣠⠖⠂⠀⠀⠀⠈⠙⠿⣿⣦⡄⠀⠀⣸⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣰⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣶⣄⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠙⢿⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⠦⠠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⠤⠄⠙⡿⠿⠦⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⡤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⢤⠀ ⠀⠈⢧⡀⠉⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠉⢀⣴⠃⠀ ⠀⠀⠈⠻⡢⡀⠀⠀⡁⠢⠐⠒⠀⠉⠉⠉⠉⠁⠒⠒⠔⠊⠀⠀⢀⠔⠕⠁⠀⠀ ⠀⠀⠀⠀⠈⢺⢆⢰⡟⠁⠀⠀⠀⣴⡴⢢⣦⠀⠀⠀⠀⠀⠀⠰⡧⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠘⠋⠀⠀⠀⠀⠀⠁⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠎⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠱⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⢻⠍⠀⣀⡀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⢀⣀⠀⠨⡿⢳⠀⠀⠀⠀ ⠀⠀⠀⠀⢇⠀⠀⠀⠰⣌⠓⣲⠄⠀⠇⠘⡀⠠⣖⠘⣁⠜⠀⠀⠁⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠑⢄⡀⠀⢀⡠⠊⣀⣀⠑⢄⡀⠀⢀⡠⠚⠁⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⢀⠊⠀⠀⢀⡀⠬⡵⢧⠀⠈⣳⣟⠋⠀⡜⢾⠥⠀⣀⠀⠀⠘⡄⠀⠀⠀ ⠀⠀⡰⠃⠀⠔⠊⠀⡤⠒⠹⣍⠐⠈⠓⠒⠉⢢⢉⠟⠒⢠⡀⠁⠢⠀⠈⢢⠀⠀ ⠀⠜⠀⠀⠀⠀⢠⠋⠀⠀⠀⠀⠈⠉⠀⠂⠈⠁⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠱⡀ ⡜⠀⢠⡖⠤⢴⠆⠤⠄⠠⠠⠄⠠⠤⠀⠴⠠⠄⠤⠤⠤⠤⠦⠆⠀⠀⠤⠀⠀⠱

⢀⣀⣀⣠⣤⠤⠤⠤⣴⡶⠤⠤⠢⠤⠤⢤⡤⠴⠒⠒⠛⠉⠉⠉⠛⠒⠲⠦⢤⡀ ⠈⠳⡤⡀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠁⠀⠠⢴⡒⠉⠉⠁⠀⡩⢙⡥⠞⠋⠉ ⠀⠀⠙⣎⢗⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⡀⡠⢊⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⢼⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢡⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠑⠢⡀⠈⠖⠀⠀⠀⠀⢀⡠⠔⠂⠉⠉⠒⣼⣿⣵⠒⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡦⡤⣈⢱⠂⣆⡐⠒⠉⠁⠀⠀⠀⠀⠀⠀⢸⠸⡄⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⡇⢣⢷⣾⣹⠀⡇⠁⢸⠙⣿⣉⣩⣿⠏⡹⠉⡝⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣷⡀⠉⡫⠓⡶⣻⢄⠀⠳⣌⣙⣛⡡⠜⣁⠜⠀⣠⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣍⣀⣀⠕⡉⠀⠉⠒⠂⠤⠤⠒⢈⣡⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⢿⡓⢒⡒⠒⠒⠚⢛⣉⠉⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠈⡞⠀⢰⠀⡴⠁⣀⡝⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣙⣳⢫⢙⢦⣾⣲⣵⣶⠋⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢙⡺⣛⠍⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⠟⣁⡤⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠷⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢤⡤⠀⠀⠀ ⠈⠉⠫⣅⠐⠢⡀⢀⣀⠀⠤⠤⠤⠄⢀⣀⠀⠜⠁⡰⠉⠀⠀⠀⠀ ⠀⠀⠀⠈⡶⠂⠉⠀⠀⠀⠀⡀⡀⠀⠀⠀⠈⠁⠲⡁⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⠇⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⡷⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠆⠆⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⡆⠠⢶⡖⣶⣶⣦⡀⠀⠀⣠⣶⣶⣶⢲⠦⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⠙⣮⡕⠁⢀⣤⣤⠀⠙⣾⡕⠁⠀⠀⡇⢠⡄⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⡠⢔⢖⡤⠿⠧⣔⢖⠄⡀⠀⠀⠀⡇⣸⢸⡀⠀ ⠀⠀⠀⠙⢦⡀⠀⠔⠁⠀⠀⠀⠀⠀⠁⠑⠄⠀⣠⢿⣗⠉⠀⠈⣧ ⠀⠀⠀⠈⠈⠋⠢⢄⡀⠀⠀⠈⠀⠀⠀⣀⠤⠚⠉⠀⠸⡀⠀⢠⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⠒⠒⠈⠁⠀⠀⠀⠀⠀⠀⠑⠒⠚⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣄⠀⠀⠀⠀⠀⠀ ⢠⣤⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠛⠉⢉⣠⡿⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠛⢷⣌⡉⠉⠙⠓⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠁⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠻⣦⣀⡤⠴⠖⠚⠛⠛⠋⠉⠉⠉⠉⠉⠉⠛⠛⠛⠒⠶⠤⣤⣀⡟⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⡆⢠⣴⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢶⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢷⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢛⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠀⠀⣤⠾⣿⣿⠛⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⡟⢻⠿⢦⣄⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠘⣿⣆⠙⢿⣿⡿⠟⣼⠟⠻⠦⠀⠀⠀⠀⠾⠛⠻⣿⣟⢿⣿⣿⠟⢀⡾⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠘⠻⣷⣤⣤⡴⠟⠁⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠙⢿⣷⣦⣤⡶⠟⠀⠀⠀⠀⠀⠸⡇⠀⠀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠦⣭⣭⡤⠀⠀⠀⠀⠸⣿⣽⣿⣽⠀⠀⠀⠀⠢⣬⣭⣥⠄⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⡏⠻⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⡶⠆⢀⣮⣿⣭⣀⡀⠐⣶⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⡇⠀⢿⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⡠⠶⠋⢉⡴⠚⣵⡾⠛⠉⠉⠉⠙⠻⢷⡌⠳⣄⠉⠳⠦⠀⠀⠀⠀⠀⠀⠀⢸⡟⢠⣄⣧⠀⢸⣧⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣧⣀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠆⠈⠳⣄⠀⠀⠀⠀⠀⠀⣰⣿⣿⣥⡼⠏⠙⠀⠀⠀⠉⠻⡆ ⠀⠀⠀⠀⠀⠀⢸⡋⢿⣷⣄⠀⠀⠀⠰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠆⠀⠀⠀⣴⣿⢿⡏⣿⡄⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠘⠓⠀⠻⡟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⣽⠃⠘⠁⢸⡇⠀⠀⠀⠀⠀⠀⢰⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠉⠻⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠛⠁⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⢠⣾⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠶⢶⣤⣀⣀⠀⠀⠀⠀⣀⣠⣴⠶⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠛⠁⠀

₍⸍⸌̣ʷ̣̫⸍̣⸌₎

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⢀⡶⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠈⠳⡄⠀⠀⠀⢠⡎⠀⠀⠸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠘⠗⠒⠛⠃⠀⠀⠀⠀⠹⡂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⢳⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⢰⣟⣿⠀⠀⢠⣤⣤⣤⠀⠸⣯⡷⠀⠙⢶⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⢰⠀⡆⠀⠀⠀⣿⣄⣀⣸⡇⠀⡆⢰⠀⠀⣸⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠛⣀⠀ ⠀⠀⠀⠀⢠⡴⠋⠉⠉⠓⠶⠤⢤⡤⠀⠀⠀⠀⢤⣤⠤⠶⠶⠞⠉⠉⠀⠈⣗ ⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏ ⠀⠀⠀⠀⠈⠛⠳⠶⠦⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⠖⠒⠚⠛⠓⢤⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⢠⠎⠁⣀⡴⠚⠋⠑⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠻⡤⠴⠁⠀⠀⠀⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⠇⢸⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠷⠦⠖⠛⠀⠀⠛⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀

⢠⣴⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣶⣤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢹⣿⣿⣿⣿⣿⣿⣿⣿⠍⢻⡹⣦⣢⣠⡆⣠⣄⡀⣀⣤⡔⠋⠐⣾⣿⣿⣿⣿⣿⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣿⣿⣿⣿⡿⠿⡉⣿⣤⣾⣷⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣾⣿⣻⣯⡿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢩⣝⣋⡛⠙⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⡿⣻⡛⠛⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠜⠛⣿⠿⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡟⣿⣿⣿⣿⡿⠖⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣾⣥⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠽⢱⣿⣿⣿⣿⣿⣽⡿⠟⡿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠊⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⢘⣿⡘⠿⣿⣿⣿⣿⣿⣷⣄⠛⠟⠀⣹⣿⣿⣿⡿⠀⠀⢀⣿⣿⣿⠋⠹⡯⠀⣼⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀ ⢈⣿⣇⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠙⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠈⡟⠻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⡍⠈⠇⠀⠀⠀⠀⠀⠀ ⠀⡟⢲⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠁⠀⠀⠉⠳⣴⠞⠉⠀⠈⠙⢿⣿⠿⠿⠾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠃⠀⠉⠻⠾⠿⣿⣿⣯⣭⣽⡟⠀⠀⠀⠀⠀⣠⠖⠛⠲⣄⠀⠀⠀⠀⠸⣿⣯⡽⣛⣲⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠴⠛⣉⠽⠿⠋⠀⠀⠠⠒⠉⠀⠀⠀⠀⠀⠳⡀⠀⣄⣙⠦⣤⣍⡑⠋⠀⠀⠠⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⠖⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢽⡟⠓⠀⠈⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀ ⠀⠀⠀⢀⡬⠂⠀⡰⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠌⠢⣄⠙⡧⠀ ⠀⠀⠴⠋⠀⢠⠎⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡀⠀⣀⠰⣄⠉⢢⣱⣮⠳⣛⠄ ⠀⠀⠀⠀⠔⡃⠀⡜⠀⠀⠀⠀⠀⠀⠀⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡀⠈⠢⢌⣳⣌⢳⣴⣿⣌⢣⠈⠀ ⠀⠀⠀⢠⣾⣿⣿⣿⣄⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢶⣦⣧⡹⣏⢳⣽⣿⠛⠂⠀ ⠀⠀⠀⠘⠛⠿⢿⣿⣿⣷⣶⣦⠀⠁⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣾⣿⡿⠁⠀⠀⠀ ⠀⠀⡴⠃⠀⠀⠀⠀⠻⢿⣿⣷⣒⠃⢰⣥⠞⠋⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⣀⣀⡀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀ ⣰⠏⠀⠀⠀⠀⠈⠉⠲⡴⣌⢨⣿⣿⠞⠁⠀⠀⠀⡀⠀⠀⠀⠀⠉⢻⣷⣤⣿⡿⠿⠤⢠⣄⣀⣀⣀⡀⠀⠀⠀ ⠃⠀⠀⠀⠀⢠⡀⠀⢀⣠⠜⠛⠉⠀⡀⢀⠔⠁⠀⠀⠀⠀⢀⡀⠀⠀⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠳⠤⠤⠤⠤⠤⠕⠚⠉⠀⠀⠀⠀⠀⠸⣀⢀⠀⠀⡀⠀⠀⢻⣡⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠰⠾⠇⠐⠒⢉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀ ⠀⠀⠳⣄⠉⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠒⠈⡠⡞⠀⠀ ⠀⠀⠀⠑⢕⢄⠀⠀⠁⠢⠤⠒⠒⠒⠒⠒⠒⠒⠒⠠⠔⠊⠀⠀⡠⠪⠊⠀⠀⠀ ⠀⠀⠀⠀⠀⠱⡧⠐⡾⠉⠀⠀⠀⡰⡴⢄⢦⠀⠀⠀⠀⠀⠀⢴⠕⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠛⠁⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⢡⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⢣⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠉⣏⠀⢤⣀⡀⠀⠀⠀⡀⢀⠀⠀⠀⢀⣀⣠⠀⢹⠏⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⡄⠀⢄⠈⠢⠙⠩⠆⢀⠇⠈⡄⠰⠬⠙⠔⠁⠀⠀⢀⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠈⠒⠤⣀⣀⠔⢪⣤⢤⣈⠢⢄⢀⠠⠐⠁⠀⠸⡀⠀⠀⠀⠀ ⠀⠀⠀⢀⠜⠀⢀⡠⠄⠒⣺⡻⠆⣀⠬⠯⣁⠀⠝⣓⠒⠠⠄⡀⠀⠱⡀⠀⠀⠀ ⠀⠀⡠⠃⠀⠐⠁⢀⠔⠉⠈⠢⠬⢀⣉⣈⣁⠵⠔⠁⠈⠢⡀⠈⠑⠀⠈⢆⠀⠀ ⠀⡰⠁⠀⠀⠀⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠆⠀⠀⠀⠀⢢⠀ ⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂

⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣷⡄⠀⠀⠀⠀ ⠀⠀⠘⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⣷⣦⣶⡶⠶⠶⠶⠤⣤⣤⣾⣷⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⣿⡿⡟⢉⢁⣶⠀⢀⣀⡀⠀⠉⠻⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⣿⣶⣿⣿⡏⢹⣥⣾⣿⣷⣤⣆⠀⠀⠹⣿⣿⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣿⡉⢌⣿⠇⠀⢺⣿⣏⠹⣉⣿⣷⣦⡀⠈⠿⣾⠀⠀⠀⠀⠀⠀ ⠀⣀⠀⢠⣿⣿⣿⠿⢟⣰⠆⠘⠿⣿⣿⣿⣿⣿⣿⣉⣀⣀⠘⣷⡦⠀⠀⠀⠀ ⠀⠈⠑⣾⠏⣹⡇⢠⣖⡓⠢⣄⠀⠈⠩⣿⣿⣿⡟⠁⠀⠀⠈⢹⡏⠀⠀⠀⠀ ⠀⣀⠴⢾⡯⠚⢳⢧⠈⠁⠀⠀⠑⠤⢈⡻⠿⡓⠨⢑⢤⡀⠀⢸⣧⣤⠀⠀⠀ ⠈⠁⡠⠛⣯⢤⠇⠈⠧⣤⣀⠀⣀⣀⣤⡄⠀⠈⠂⢀⣴⣿⠀⠀⢿⡟⠃⠀⠀ ⠀⠀⠁⢸⣿⣼⣄⣀⡀⠀⠁⠀⠉⠉⠁⣀⣀⠤⠔⠋⠀⠀⠀⠀⠸⣷⠂⠀⠀ ⠀⠀⠀⣸⠓⠀⠀⠀⠈⠙⠦⠤⢤⣤⡭⠤⠤⠔⠃⠀⠀⠀⠀⣀⣀⣹⡆⠀⠀ ⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠁⠀⢷⠀⠀ ⠀⢀⡾⠀⠀⠀⢀⠀⢀⠀⢀⣀⠀⡀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀ ⠀⠈⠟⠁⠀⠀⢻⠉⠉⢧⢸⠉⠉⡇⣰⠛⠉⣠⡌⠉⢳⡄⠀⠀⠀⠀⠀⠻⠂ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠘⣿⠀⠀⡇⡇⠀⠀⡇⡇⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⡄⠈⠀⠀⡇⡇⠀⠀⡇⡇⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⣿⡀⠀⠀⡇⣇⠀⠀⣇⡇⠀⢀⣇⣠⣠⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢼⣤⣠⠇⢳⣄⣠⡇⠘⠦⣄⣉⣁⡤⠞⠙⢧⣴⡇⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⣶⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢋⣥⣾⣿⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣛⠷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢉⣴⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣿⣷⣬⡛⢷⣄⠀⣀⣤⣤⠴⠶⠶⠶⠶⠶⠶⠦⣤⣠⡾⠃⣴⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⣿⣿⣿⣦⡭⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣿⣟⣉⠀⠀⠀⣄⢀⡿⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣶⡽⠟⣧⣶⣿⣿⣿⣿⣿⣷⣶⣤⡀⠀⠀⠀⠀⠈⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⡿⠛⢻⡟⠻⣿⠇⠀⢻⣿⣿⠿⢿⡟⠛⠛⢻⣿⣿⣦⡀⠀⠀⠀⠈⢿⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⣿⣄⡘⢇⣠⡟⠀⠀⠀⠙⣿⣄⠸⠇⠀⢠⣿⣿⣿⣿⣷⠀⠀⠀⠀⠘⣿⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡏⢻⣟⡿⠂⠀⠈⢿⣷⣦⣶⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠹⣿⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠴⠚⢉⣿⣿⣿⣿⣿⡿⢀⣠⠾⢦⣄⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣋⠉⠓⠒⠦⠄⠀⢿⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⡤⠖⠉⣿⠈⠛⠛⠛⢡⡞⠁⠀⠀⠈⠳⣄⠀⠈⠙⠛⠛⠛⠛⠉⠀⠈⠉⠒⠤⣀⠀⠀⢸⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⣆⠀⠀⠀⢀⡀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣷⣤⣀⠈⠙⠓⠶⠶⠖⠛⠁⠀⠀⢀⣠⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣶⣾⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣇⠀ ⠀⠀⠀⠀⠀⠀⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠛⠀ ⣀⣀⣠⣤⣤⣀⣀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡆⠀⠉⠙⣿⢀⣀⠀⠀⠸⡛⢲⡄⢠⡄⣀⣀⠀⢸⡇⢀⣀⠀⠀⠸⣇⠀⣾⠀⣴⠶⣦⡀⢰⡆⠀⣾⠀ ⠀⠀⠀⢸⡇⠀⠀⠀⣿⡏⠙⣷⢠⡾⠛⠛⡇⢸⡿⠉⢹⣇⢸⣿⣛⠉⠀⠀⠀⠙⣿⠇⠘⢷⣤⡼⠃⢸⣇⣠⣿⡆ ⠀⠀⠀⠘⠃⠀⠀⠀⠻⠃⠈⠿⠈⠛⠷⠶⣿⠘⠇⠀⠸⠟⠈⠯⠉⠛⠃⠀⠀⠠⣿⠀⠀⠀⠀⠀⠀⠀⠙⠉⠘⠁

⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀ ⠀⠀⠀⡟⠻⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠟⢹⠀⠀⠀ ⠀⠀⠀⢹⠀⠈⢳⣽⠶⠖⠒⠒⠒⠴⣏⡔⠁⠀⡞⠀⠀⠀ ⠀⠀⠀⠀⣇⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣴⠁⠀⠀⠀ ⠀⠀⠀⢠⠏⠀⠀⠀⢦⠀⡀⢀⠀⡰⠀⠀⠀⠘⡆⠀⠀⠀ ⠀⠀⠀⣼⠀⠙⣖⢢⢬⡅⡇⢸⣠⡥⣴⢲⠞⠀⢹⠀⠀⠀ ⠠⠤⢤⣹⣀⠀⠈⠉⢁⣽⣁⣀⣻⡈⠉⠁⠀⣀⣼⡠⠤⠤ ⠀⠀⠀⠀⠳⡉⠓⣲⣎⠘⠳⡖⠃⢹⢶⠚⢉⡽⠁⠀⠀⠀ ⠀⢀⠤⠒⠚⠉⠻⢏⣁⣖⠉⠉⣳⣌⡹⠟⠋⠓⠒⠤⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

* ੈ✩‧₊˚* ／＞　 フ | 　_　_| ／` ミ＿𝒙ノ /　　　　 | /　 ヽ　　 ﾉ │　　|　|　| ／￣|　　 |　|　| (￣ヽ＿ヽ)__)* ੈ✩‧₊˚ ＼二)

∧,,,∧ (  ̳• · • ̳) /    づ You want my heart? ∧,,,∧ (  ̳• · • ̳) /    づ♡ Ok here's my heart ∧,,,∧ (  ̳• · • ̳) U ♡C~ Nevermind, you dont deserve it

⠀⠀⠀⠀⣀⡀⠀⠀⣶⣦⡀⠀⠀⠀⠀⠀⣠⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⠶⡾⠛⣿⠄⢠⡿⠉⠻⣦⣤⣤⣤⣴⡟⠁⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣤⣀⣴⠏⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠉⠉⣰⡟⠀⠀⠀⢀⡀⠀⠀⠀⣀⡀⠀⠀⠀⠀⢻⡆⠀⣴⠶⣦⣤⡀⠀ ⠀⠀⠀⠰⢶⣿⣤⠄⠀⠘⠋⣁⣴⣦⣀⠉⠛⠃⠀⠀⠀⢈⣿⣀⣹⣇⣨⡿⠃⠀ ⠀⠀⠀⠀⢾⣟⠓⠀⠀⠀⠀⠉⠁⠈⠉⠀⠀⠀⠀⠀⠀⢿⣿⣯⡅⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠏⠀⠀⢀⣠⣄⡀⠀ ⠀⠀⠀⠀⠀⣠⣝⡷⣶⣶⣦⣤⣀⣀⣴⠶⢶⣄⣴⣾⠋⠁⠀⠀⣰⣿⣏⣹⡇⠀ ⠀⠀⠠⣟⠛⠋⣸⡇⣾⣿⣤⣼⣿⣿⣤⣤⣼⡟⠛⠻⣷⡀⠀⠀⣿⠀⠉⣿⠇⠀ ⠀⠀⠀⠙⠿⠶⡟⣼⠏⢿⣷⣿⣽⣯⣿⣟⣿⡄⠀⠀⠈⠻⣆⠀⠹⣧⠀⢿⡆⠀ ⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⢹⣧⣈⠉⣼⠟⠋⠁⠀⠀⠀⠀⠹⣧⠀⠹⣦⠈⢻⡄ ⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠈⢹⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⣿⠄⠘⣷ ⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⣀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⣿⡾⠋⠀⣰⡟ ⠀⠀⠀⠀⠀⣿⠀⠀⢰⡆⠀⠀⣿⡀⢠⡿⠁⢠⡶⠀⠀⠀⠀⠀⢀⣀⣤⡾⠋⠀ ⠀⠀⠀⠀⠀⠹⣧⣀⠀⣿⡀⢀⢸⣷⡟⠀⠀⢸⡇⠀⠀⠀⣀⣴⠟⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠛⠿⠷⣾⡿⣿⣶⣤⣤⣿⣥⣴⠶⠛⠋⠁⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣆⠀⠀⠀ ⠀⢸⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⠋⢿⠀⠀⠀ ⠀⠈⣿⣿⣿⣦⣀⣀⣀⠤⠤⠤⠤⠤⠤⠤⢄⣀⣀⣴⣿⣿⠿⠏⢻⣤⣾⠀⠀⠀ ⠀⠀⠘⣿⣿⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⣿⣗⠀⠀⣠⣿⡟⠀⠀⠀ ⠀⠀⠀⢹⡟⢀⣤⣤⣴⡞⡀⢠⠀⣴⡀⠀⠀⠀⠀⠀⠀⠙⢿⣾⣿⣿⠁⠀⠀⠀ ⠀⠀⢠⣿⣷⣿⣿⣿⣿⠳⠃⢸⣿⣿⣿⣇⣀⠀⠀⠀⠀⠀⠘⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⣾⣿⡟⢸⠉⣻⡿⠀⠀⠸⣿⣿⠋⣿⠉⣻⣿⣷⣄⠀⠀⠙⢿⡇⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣷⣿⢿⣥⣤⡀⠀⢿⣿⣷⣦⣾⣿⣿⣿⠏⠀⠀⠀⠘⣿⠀⠀⠀⠀ ⠀⠀⣷⣿⡿⠋⠀⢈⣹⣿⣅⡀⠀⠙⠻⢿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢿⡀⠀⠀⠀ ⠀⠀⣷⣾⡇⠀⡼⠉⠀⠀⠀⠉⢆⠀⠀⠀⢿⣿⣿⠋⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀ ⠀⠀⣿⣿⣿⣶⡃⠀⠀⠀⠀⠀⠀⠣⣀⣠⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣦⣤⣀⣀⡠⠀⠀⠈⠙⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀ ⠀⢠⣿⣿⣿⣿⣿⡿⠏⠉⠙⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀ ⠀⣸⣿⣿⣿⣿⣿⡷⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇ ⣰⣿⣿⣿⣿⣿⣿⣿⣶⡦⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹ ⠀⢰⣷⡀⠀⠀⣿⣿⠀⣠⣴⣾⣿⣶⣦⡀⠀⣶⣶⣶⣶⣶⡄⣶⣶⣶⣶⣶⡆⠀ ⠀⢸⣿⣿⣄⠀⣿⣿⣼⣿⠋⠀⠀⠈⠻⣿⡆⣿⣇⠀⠀⢹⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⢸⣿⠙⣿⣦⣿⣿⣿⣇⠀⠀⠀⠀⠀⣿⡷⣿⣿⣤⣴⣿⠟⣿⣿⠿⠿⠿⠇⠀ ⠀⢸⣿⠀⠈⢿⣿⣿⠹⣿⣦⣀⣀⣠⣼⡿⠃⣿⡯⠉⠉⠁⠀⣿⣿⣀⣀⣀⡀⠀ ⠀⠘⠛⠀⠀⠀⠛⠛⠀⠈⠛⠻⠿⠟⠋⠁⠀⠛⠓⠀⠀⠀⠀⠛⠛⠛⠛⠛⠃⠀

∧,,,∧ (  ̳• · • ̳) /    づ♡ I love you

⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⣀⡀⠀⠀⠀⢀⣀⠀⠀ ⠀⠀⠀⠀⠀⣿⣝⠖⠊⣉⠀⢀⣉⠑⠺⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⣹⣷⣿⣿⣿⡧⡼⣻⣷⣦⣤⡡⡀⠀ ⠀⠀⠀⠀⣸⣿⡉⣽⡟⣹⠋⠙⢏⠹⣿⢏⣿⣷⠀ ⠀⠀⠀⢀⢿⣿⣿⣾⡿⡫⣺⢟⣮⡿⣿⣿⣿⠏⠀ ⠀⠀⢠⠃⠈⠛⣿⢿⡗⠙⠁⠀⠐⣁⡽⠿⠉⠢⡀ ⠀⠀⠇⠀⠀⠜⠎⠰⠀⠉⠉⠉⠉⡇⠐⠀⠑⡀⠀ ⠀⢸⠀⠀⠀⠀⡄⠃⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀ ⠀⢸⠀⠔⠒⠒⡇⠀⢠⢤⠂⠀⡎⠀⠀⠀⠀⠀⠀ ⠀⠈⡔⠀⠀⠀⢸⠀⠘⢸⠀⠀⠃⠀⠀⠀⠀⠀⠀ ⠀⢀⣱⡀⠀⡠⠬⡄⠀⢿⠀⢀⡀⠀⠀⠀⠀⠀⠀ ⢰⣿⣟⠉⠒⠒⠓⠓⠐⠛⠃⠞⠃⠀⠀⠀⠀⠀⠀ ⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠶⠴⠦⠀⠤⠤⠆⠤⠤⠄⠰⠦⠶⠖⠦⠤⠆⠀

⠀⠀⠀⠀⢀⣠⣔⡒⠒⠈⠉⠉⠉⠀⠈⠉⠉⠉⠁⠐⠂⢄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⠅⠒⣮⠔⣖⣾⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⢄⠀⠀⠀⠀⠀ ⠀⣀⡀⠘⠂⠤⠯⠘⢿⣼⢗⣀⠀⠀⠀⠀⠀⠀⢀⣀⢤⡄⠀⠀⠀⠈⠢⡀⠀⠀ ⢠⣿⠉⠯⢲⣤⣀⠀⠀⠀⠀⠉⠉⠁⠐⢂⣽⣟⠟⠁⣨⣧⡀⠀⠀⠀⠀⠰⠀⠀ ⢸⣹⠀⠀⠀⠉⡛⠿⡏⠊⠉⠉⠉⠈⢡⣿⠟⠂⠀⠀⢹⣿⢗⠀⠀⠀⠀⠀⢃⠀ ⠘⣿⣷⡠⣴⣿⣛⡛⣿⣶⣴⠀⣾⣦⣾⣿⣿⣧⣶⣲⣾⡏⠀⠁⠂⢄⠀⠀⠀⠄ ⠀⢘⢟⣽⣿⣄⣈⣛⣣⡿⠋⢶⠿⢷⣄⣛⣃⣴⣿⠿⠻⣦⠀⠀⠀⠀⠈⢂⠀⠜ ⠀⠗⠘⠿⣿⣿⣿⡿⠋⠀⡰⠈⠑⡀⠙⢆⣸⣿⠿⠙⠀⡼⠀⠀⠀⠀⠀⠀⢱⠀ ⠀⠈⠢⢀⠀⠀⠽⣧⡀⠀⢧⡄⢀⡇⣀⡼⠀⠀⠀⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠄ ⠀⢀⡇⠀⠑⠂⠤⢀⣈⠀⠀⠉⠉⠀⣀⣀⠡⠄⢶⡁⠀⠀⠀⠀⠀⠀⢢⠀⠀⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⠀⠀⠀⠀⠀⠀⢀⡇⢠⠀ ⠀⠀⢳⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀⢠⡏⠀⠆⠀ ⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⢀⡜⠀⢠⠾⠃⠀⡘⠀⠀ ⠀⠀⠀⠀⠀⠟⠦⣀⠀⠀⠀⠀⠀⠀⣠⣶⠏⠀⠀⠀⣾⠀⡼⠁⠀⠀⠠⡇⠀⠀ ⠀⠀⠀⠀⠀⢸⠄⠀⠉⠒⢩⠒⢰⠊⠁⠀⠀⠀⢀⣾⠇⠛⠙⡶⠀⠀⠄⡑⠀⠀ ⠀⠀⠀⠀⠀⢸⡀⠀⠀⣀⡝⠀⠀⡀⡀⠀⠀⢀⣾⠎⠀⠀⠀⠋⠐⠈⡐⠁⠀⠀ ⠀⠀⠀⢰⠋⠉⠉⠙⡳⠊⠀⠀⢀⡷⠷⠿⠷⠻⡏⠀⠀⠘⠄⢀⡀⠎⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠒⠈⠀⠀⠀⠀⠘⠄⣀⠀⢀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡀⠀⠀ ⠀⢸⡐⠀⠉⢓⣢⡄⠀⠒⠒⠒⠒⠂⠀⠀⢄⣔⢬⠚⢂⡇⠀⠀ ⠀⢸⢰⢃⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠐⠸⡇⠀⠀ ⠀⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀ ⠰⡁⠀⠀⠀⠀⠀⠀⠀⢤⡔⠀⡤⠤⠀⠀⠀⠀⠀⡀⠀⠈⢧⠀ ⣷⠀⠀⠐⠶⣖⡲⠖⣒⣶⠗⠀⠈⣿⣙⣛⣋⣽⠃⠀⠀⠀⠐⡃ ⢸⠀⠀⠀⠀⠉⠛⠛⠛⠁⠶⣾⠶⠈⠈⠉⠛⠀⠀⠀⠀⠀⢠⡏ ⠀⠑⡀⠀⠀⠀⠀⣰⢴⢆⢀⣇⠀⠀⣖⠄⠀⠀⠀⠀⠀⢀⡏⠀ ⠀⠀⠙⠢⠀⢀⢪⢕⠇⠔⠋⠈⠑⠌⢞⢵⡈⢆⠀⠀⡴⠋⠀⠀ ⠀⠀⠀⠀⠐⠱⠃⠎⢀⠀⠀⠀⠀⠀⡀⢢⠹⢄⠡⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⠌⠀⠀⠉⠉⠉⠁⠈⠀⠀⠆⠀⠣⡁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⠲⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠁⠀⠀⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⣀⠀⠀⠀⠀⢀⠀⠀⠀⡀⠀⠀⠀⠀ ⠀⣄⠀⢀⣠⡗⠒⠉⠙⠒⠛⠚⠛⠊⠉⠒⠒⣥⡀⠀⢀⠀ ⠀⣿⡾⠋⠁⠀⠀⣀⣴⣠⡖⠰⣆⢢⣀⠀⠀⠈⠉⣷⣿⠀ ⠀⢹⠏⠀⢠⣤⠤⣿⣿⣿⠀⠃⢿⣿⣿⡥⢤⣤⠀⠈⣿⠀ ⠀⠂⠀⠴⣿⣷⣄⣀⣿⠟⠀⠀⠘⣿⣇⣣⣴⣿⡷⠄⠈⠀ ⠀⠀⡆⠸⣿⣿⣿⠿⠋⠀⠺⡟⠀⠘⠻⣿⣿⣿⠇⠈⡀⠆ ⠰⢐⠁⣠⠋⠉⠹⡃⢀⢔⡈⠉⡀⡀⠀⡫⠉⠉⢢⠀⠣⢀ ⠣⠀⠀⠊⠒⠆⡒⠑⠂⠹⠋⠙⠋⠈⠖⢓⡀⠞⠈⠀⠁⡸ ⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀ ⠀⢴⣦⡀⠀⠀⠀⠀⠀⠀⢀⣶⣿⡿⡇⠀⠀ ⠀⠈⢿⣿⡷⢖⡛⠒⠒⠶⣿⣿⣿⡿⠀⠀⠀ ⠀⠀⢸⡷⣾⡊⢷⣿⣧⣄⠈⠻⣿⡇⠀⠀⠀ ⡀⠀⣾⣾⢾⡥⠸⣷⣶⣿⣿⣂⡈⢧⡄⠀⠀ ⠈⣸⣍⢇⠦⠅⠢⡀⠽⣿⠫⢀⠀⢘⠇⠀⠀ ⢉⠜⡧⠆⠱⢤⠀⣤⠬⠀⠀⡡⠷⠀⢿⠂⠀ ⠀⢨⠇⠑⠒⠤⠀⣀⡒⠂⠍⠀⠀⢀⣘⡅⠀ ⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢱⠀ ⠘⠂⠀⠈⠈⢆⡏⠀⡔⠈⠍⠐⡄⠀⠀⠘⠇ ⠀⠀⠀⠀⠀⡈⠃⠀⡇⠀⠸⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⢣⠀⠀⢇⠀⠜⢀⢧⣒⡄⠀⠀ ⠀⠀⠀⠈⠉⠀⠉⠁⠀⠉⠉⠁⠀⠉⠁⠀⠀

⢰⣷⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠶⢶⣆ ⢺⣿⣶⡎⠙⠿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠁⠀⠀⠠⡟ ⠈⣿⣿⣷⣄⠄⠈⢻⣷⣦⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⣼⠁ ⠀⢸⣿⣿⣿⣠⣤⣤⣿⡟⠉⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠷⣶⣶⣄⠀⠀⣰⠇⠀ ⠀⠀⢻⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣃⢰⠏⠀⠀ ⠀⠀⣼⣿⠇⠀⢠⡀⠀⠀⠀⣀⣴⡇⠀⠀⢀⣴⣤⠀⠀⠀⠀⠀⠈⣿⡿⠀⠀⠀ ⠀⠀⠉⠀⣀⣠⣾⣿⣷⣴⣿⣿⣿⡿⠀⠀⢿⣿⣿⣷⣶⣤⡀⠀⠀⠈⠃⠀⠀⠀ ⠀⠀⠀⠀⢿⣿⣏⠉⢹⠛⢿⣿⣿⠁⠀⠀⢸⣿⡿⢿⠿⢿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣿⣦⣤⣤⣿⣿⠇⠀⠀⠀⠸⣿⣄⣘⣀⣸⣿⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⠻⡿⠿⣿⠟⠀⠀⠀⠀⠀⠹⣿⣿⣿⡿⠿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠓⠦⣀⠔⠊⠀⠘⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠤⠾⠤⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⢤⣤⣄⠀⠠⢤⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡟⢿⣧⡀⠀⡇⠀⢀⣤⠴⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠻⣿⣦⡇⠀⣿⣿⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⠧⠀⠀⠘⢿⡇⠀⠙⢿⣀⣸⠟⠁⠰⣿⠆⠀⠀⠀⠀⠀⠀

⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛ ⬛🏽⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏽⬛ ⬛🟫🏽⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🏽🟫⬛ ⬛🟫🟫🏽⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛🏽🟫🟫⬛ ⬛🏽🟫🟫🏽⬛⬜⬜⬛⬛🏽🏽🏽🏽🏽⬛⬛⬜⬜⬛🏽🟫🟫🏽⬛ ⬛🏽🟫🟫🟫🏽⬛⬛🏽🏽🏽🏻🏻🏻🏽🏽🏽⬛⬛🏽🟫🟫🟫🏽⬛ ⬜⬛🏽🟫🟫🟫🏽🏽🏽🏽🟫🏻🏻🏻🟫🏽🏽🏽🏽🟫🟫🟫🏽⬛⬜ ⬜⬛🏽🏽🏽🏽🏽🏽🏽🟫🟫🟫🏻🟫🟫🟫🏽🏽🏽🏽🏽🏽🏽⬛⬜ ⬜⬜⬛🏽⬛⬛⬛⬛⬛⬛⬛🟫🏻🟫⬛⬛⬛⬛⬛⬛⬛🏽⬛⬜⬜ ⬜⬜⬛🏽⬛🟦🟦⬛🟦🟦⬛🟫🏻🟫⬛🟦🟦⬛🟦🟦⬛🏽⬛⬜⬜ ⬜⬜⬛🏽🟫⬛🟦🟦🟦⬛🟫🏻🏻🏻🟫⬛🟦🟦🟦⬛🟫🏽⬛⬜⬜ ⬜⬛🏽🏽🟫🟫⬛⬛⬛🟫🟫🏻🏻🏻🟫🟫⬛⬛⬛🟫🟫🏽🏽⬛⬜ ⬜⬛🏽🏽🏽🟫🟫🟫🟫🟫🟪🟪🟪🟪🟪🟫🟫🟫🟫🟫🏽🏽🏽⬛⬜ ⬜⬜⬛🏽🏽🏽🟫🟫🟫🏽🏻🟪🟪🟪🏻🏽🟫🟫🟫🏽🏽🏽⬛⬜⬜ ⬜⬜⬛🏽🏽🏽🏽🟫🏽🏻🏻🏻🏻🏻🏻🏻🏽🟫🏽🏽🏽🏽⬛⬜⬜ ⬜⬜⬜⬛🏽🏽🏽🏽🏻⬛⬛⬛⬛⬛⬛⬛🏻🏽🏽🏽🏽⬛⬜⬜⬜ ⬜⬜⬜⬛🏽🏽🏽🏽⬛🏻🏻🏻🏻🏻🏻🏻⬛🏽🏽🏽🏽⬛⬜⬜⬜ ⬜⬜⬛🏽🏽🏽🏽⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛🏽🏽🏽🏽⬛⬜⬜ ⬜⬜⬛🏽🏽🏻🏽🏽🏽🏻🏻🏻🏻🏻🏻🏻🏽🏽🏽🏻🏽🏽⬛⬜⬜ ⬜⬜⬛🏽🏽🏻⬛🏻🏽🏽⬛🏻⬛⬛⬛⬛⬛🏻🏻🏻🏽🏽⬛⬜⬜ ⬜⬛🏽🏽🏽🏻⬛⬛🏻🏽⬛🏻⬛🏻🏽🏽⬛🏻🏻🏻🏽🏽🏽⬛⬜ ⬜⬛🏽🏽🏽🏻⬛🏻⬛🏻⬛🏻⬛🏻🏽🏻⬛🏻🏻🏻🏽🏽🏽⬛⬜ ⬛🏽🏽🏽🏽🏻⬛🏻🏻⬛⬛🏻⬛🏻🏻🏻⬛🏻🏻🏻🏽🏽🏽🏽⬛ ⬛🏽🏽🏽🏽🏻⬛🏻🏻🏻⬛🏻⬛⬛⬛⬛⬛🏻⬛🏻🏽🏽🏽🏽⬛ ⬛🏽🏽🏽🏽🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏽🏽🏽🏽⬛

⠀⠙⠫⡙⠫⣍⠑⠒⣲⡶⠤⠖⠒⠒⠒⠒⠒⠒⠒⠒⠦⠶⣖⡒⠂⣉⠍⢛⡭⠋ ⠀⠀⠀⠈⢦⠀⣱⠋⠀⠀⠀⠀⠀⠀⠠⠀⡀⠀⠀⠀⠀⠀⠀⠉⣿⠁⡰⠃⠀⠀ ⠀⠀⠀⠀⠀⢳⡏⠀⠀⠀⠀⠀⠀⠀⠀⡧⠀⠀⠀⠀⠀⠀⠀⠀⠸⡾⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠁⠀⢀⣀⣀⠀⠀⠀⢠⠁⠆⠀⠀⠀⣀⣀⡀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡞⠀⠈⠹⣝⠿⢿⡻⠓⠄⠀⠠⠒⢯⡻⠿⣋⠟⠉⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣧⠀⠀⠀⠈⠺⣃⢠⠤⣚⣻⣛⡦⣄⣑⠓⠀⠀⠀⠀⣸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢧⣦⡀⠀⡡⠒⠑⠉⠀⣀⠀⠉⠊⠑⠌⠀⠀⣠⢶⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣹⠐⠢⠤⢀⣀⣈⠀⢉⣀⣀⠠⠤⠒⢹⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀ ⠀⠀⢠⠶⠚⠑⣺⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣷⠊⠑⠲⣄⠀ ⠀⠀⡟⠀⠀⠀⢿⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⢰⠎⠀⠀⠀⣽⠀⠀⠀⢸⠀ ⠀⠀⢹⡄⠀⠀⠘⣆⠀⠀⠀⣸⠀⠀⠀⢸⠀⠀⠀⢼⠀⠀⠀⢠⠏⠀⠀⢀⡞⠀ ⢀⣴⣏⣹⠶⢢⠄⠈⠂⢀⡤⣯⣄⠀⠀⣸⠀⠀⢀⢼⢤⡀⠀⠋⠀⢔⠶⣯⡀⠀ ⠊⡞⠺⣆⣀⠁⠀⠀⠀⡏⡜⢠⠃⠀⠀⣿⡀⠀⠈⠆⢱⢸⡄⠀⠀⠈⡆⣸⡽⠀ ⠀⣿⣀⠀⠉⠉⠉⠩⠿⠛⠳⠾⠶⠶⣶⣯⣗⡒⠒⠓⠚⠉⠉⠉⠉⠉⠉⠀⠀⠀ ⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣼⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠢⢝⣆⠤⢐⣦⣤⡤⠤⠖⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀ ⠀⢰⣦⡀⠀⠀⠀⠀⠀⢀⣴⣶⡎⠀⠀⠀ ⠀⠀⠻⠋⠀⠁⠀⠀⠁⠁⠛⢿⠳⠀⠀⠀ ⠀⠀⢰⡶⣦⠀⣤⡖⣒⡶⠀⠀⠇⠀⠀⠀ ⠀⠰⣦⡿⠫⠆⠹⣓⣋⠀⠀⠀⠐⠀⠀⠀ ⠀⠻⡟⠡⠀⠀⠁⣾⢏⠀⠀⠄⠀⠃⠀⠀ ⠀⠀⡅⠀⠀⠀⠀⠈⠀⢁⠀⠀⠀⠰⠀⠀ ⠀⠐⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢃⠀ ⢀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣

⠐⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⡆ ⠀⢻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣷ ⠀⠀⠹⣿⣿⣶⣤⣀⠀⠀⠀⢀⢀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⡏ ⠀⠀⠈⢻⣿⣿⣿⣿⣷⣦⠖⠛⠉⠉⠉⠉⠻⢶⣾⣿⣿⣿⣵⢾⣿⣿⡇ ⠀⠀⠀⣸⣟⣿⡿⠹⠉⠀⠀⡆⡀⠀⢀⠄⠀⠀⠟⠟⢿⣿⣿⣽⣿⡿⠀ ⠀⠀⠀⠘⡿⠏⢁⣀⣐⣤⣾⣴⣢⣦⡺⣷⣶⠁⡀⠀⠀⡉⣹⣿⣿⡇⠀ ⠀⠀⠀⢀⠎⣴⣿⣽⣿⣿⣾⣏⡟⢿⣿⣿⣷⣾⣤⣠⡤⢈⢸⣿⡏⠀⠀ ⠀⠁⠠⣏⣿⡯⡧⣽⡟⣿⣿⠘⠁⣼⣿⣿⢿⣿⡿⣿⣿⡥⠤⠙⢻⡄⠀ ⠀⠀⠑⣇⣽⣷⣬⣶⣿⣿⠋⠀⠀⠹⣿⣿⣬⣯⣴⣿⡿⠿⠦⠀⠀⣯⡀ ⠀⠀⠀⡗⠠⠬⣙⠭⠟⠡⢀⠀⣄⡈⠻⣟⣻⣿⣿⠿⠿⠁⠀⢠⠠⣿⡂ ⠀⠀⠀⡏⠀⠀⠐⠀⠀⢠⣼⣯⣠⠄⠀⠈⠉⠃⢫⣄⠀⡀⠀⠀⠀⢽⡇ ⠀⠀⠜⠗⡑⠀⠀⠀⠒⠁⠀⠠⠢⠿⢶⣄⢀⣯⡲⠮⠋⠂⠀⠀⠀⠈⠛ ⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⠢⡈⠘⠄⠀⠀⠀⠀⠀⠀ ⠀⢀⡼⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡤⠀⠀⠄⣀⠀⠀⠀⠀⠀ ⠀⢹⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠧⠭⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⠀⣀⠀⠀⢀⡔⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀ ⠸⣿⡫⠥⠀⢈⠋⠠⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠑⠄⠀⠀⠀ ⢸⣍⠁⠀⢀⡈⠰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢀⠀⠀⠀⠀⠀⠀ ⠘⠛⠒⠒⠊⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠺⠋⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠤⠤⠤⠤⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⡴⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⣄⣀⠀⠀⠀⠀⠀ ⠀⢀⡠⠖⠊⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡍⠒⠦⣄⠀ ⠸⣗⠒⠢⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡦⠒⢒⡿ ⠀⠀⠙⢾⠁⢀⣀⡀⠀⠀⠀⠀⠠⢀⠠⠄⠀⠀⠀⠀⢀⣀⡀⠀⢹⡖⠁⠀ ⠀⠀⠀⢾⠐⠁⠠⣤⠭⠭⣶⣒⢲⠀⠀⢰⢒⣲⡦⠭⢥⡄⠀⠑⢸⡇⠀⠀ ⠀⠀⠀⢸⡼⡀⠀⣗⣲⣶⠽⠃⢸⢀⡀⢸⠈⠻⣗⣦⣴⡗⠀⡸⣼⠀⠀⠀ ⠀⠀⠀⠀⠹⣝⠦⣀⠉⠀⠀⢀⠆⠘⠓⠈⢆⠀⠀⠈⢁⡠⢞⡼⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠲⢭⣍⣉⣁⠀⠀⠀⠀⢀⣉⣉⣭⠵⠚⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠉⠉⠉⠉⠉⠉⠉⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⢀⢀⠀⠀⠀⠀⢀⢀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠚⠉⠀⣸⣅⠙⣇⠀⡇⢀⡟⢁⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣋⣴⠂⠀⠀⣇⠈⠉⠈⠉⠉⠉⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠈⠓⠢⠤⠬⠽⠶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡟⣿⣝⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⢹⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡟⣿⣿⣷⣽⡿⠿⠿⡿⠿⢿⡿⢛⣥⣾⡇⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣇⣿⠛⠟⠃⠀⢀⠀⠀⠀⠀⢱⣿⣿⡟⣼⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣧⣟⠁⣠⣶⣷⣿⣿⣿⣿⣶⣌⡙⠻⢷⢹⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣷⣦⢻⡜⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠏⠘⣿⣿⣿⠹⠿⣿⣟⠀⢸⣿⣿⡿⣿⣿⣷⣷⣿⣿⣿⡿⣿⣿⣿⣿ ⣿⣿⣿⡇⠀⠀⢻⣿⣿⣿⣿⡿⠁⠀⠘⣿⣷⣶⣿⣿⣿⡟⢻⣿⣿⡅⠘⣿⣿⣿ ⣿⣿⣏⠀⠀⠀⠘⠿⣿⡿⠋⠁⠓⣦⠂⠙⢿⣿⣿⣿⡿⠀⢸⣿⠿⠁⠀⠉⠛⢿ ⣿⣿⣋⠀⠀⠀⠀⠀⠘⣧⣄⡐⠉⠀⠀⠀⣠⣿⠟⠁⠀⠀⢿⣿⠀⠀⠀⠀⠀⣼ ⣿⣿⡅⠀⠀⠀⠀⠀⠀⠈⠉⠐⠶⠶⠒⠛⠋⠁⠀⠀⠀⠀⣨⣿⣧⠀⠀⠀⢸⣿ ⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣶⣶⣶⣾⣿

⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⣿⠟⠁⠀⠀⠀⠹⣿⣿⣿⣿⣿⠟⠁⠀⠀⠹⣿⣿⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⣾⣷⠀⢿⣿⣿⣿⣿⠀⣾⣷⠀⠀⢿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣿⣿⣷⡀⠀⠀⠙⠋⢀⣿⣿⣿⣿⣿⡀⠙⠋⠀⢀⣾⣿⣿⡇⠀⠀⠀⠀ ⢀⣀⣀⣀⣿⣿⣿⣿⣿⣶⣶⣶⣶⣾⣿⣿⣿⣾⣿⣷⣦⣤⣴⣿⣿⣿⣿⣤⠤⢤⣤⡄ ⠈⠉⠉⢉⣙⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⣀⡀⠀ ⠐⠚⠋⠉⢀⣬⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣥⣀⡀⠈⠀⠈⠛ ⠀⠀⠴⠚⠉⠀⠀⠀⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠋⠁⠀⠀⠀⠉⠛⠢⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠤⠶⠶⠒⠒⠛⠋⠉⠉⠉⠀⠀⠈⠉⠉⠉⠉⠉⠓⠒⠤⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠞⠛⢻⣴⠖⠀⠀⢀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⡥⠒⠚⣻⣤⠄⣶⣒⣿⣆⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⡏⠀⠐⠒⣿⠏⢠⣼⣟⢙⣯⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⢄⠀⠀⠀⠀⠀⠀ ⠀⣀⣀⣀⠀⠉⠉⠓⠲⠒⠛⠉⠙⠿⣿⣟⣻⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠶⢶⡗⠀⠀⠀⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⠀ ⣸⣹⡟⠙⣿⣲⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠒⠒⠒⠒⠲⠖⠚⢓⣶⣾⣿⠟⠃⠀⡟⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀ ⣿⣿⡀⠀⠉⠙⠛⢿⣿⣷⣦⣤⣀⣀⠀⣀⣀⣀⣀⣀⣀⠀⣠⠀⣠⣾⣿⡿⠛⠁⠀⠀⢰⣷⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀ ⣧⢹⡁⠀⠀⠀⠀⠀⠈⠉⠻⢿⣿⡍⠉⠁⠀⠀⠀⠀⠀⠀⠈⣹⣿⣿⡟⠐⠀⠀⠀⠀⠈⣿⣿⡗⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀ ⣿⣿⣷⡄⠀⠀⢀⣤⣶⣷⣶⣶⣾⣥⣄⡀⢠⠀⠀⢀⣤⠀⣀⣹⣿⣿⣦⣤⠀⡀⣠⣤⣀⣿⣿⡧⠬⠷⢄⡀⠀⠀⠀⠀⠀⠀⠘⡄⠀ ⠸⣯⣿⣷⣄⢲⣾⣿⣯⣭⣉⣉⣹⣿⣿⣷⣼⡇⢠⣿⣿⣿⣿⣿⣿⣿⣿⠿⣶⣿⣿⣼⣿⣿⡿⠀⠀⠀⠀⠈⠑⠢⣄⠀⠀⠀⠀⠙⠀ ⠀⠙⣿⣟⣙⣿⣿⣇⠀⠈⠻⠿⠿⢋⣽⣿⠟⢠⣬⣿⣿⣯⡀⠈⠻⠿⠃⠀⣸⣿⣿⣿⡿⣿⣅⡀⠀⠀⠀⠀⠀⠀⠀⠑⣄⠀⠀⠀⣫ ⠀⣴⠉⢴⣿⣿⣿⣿⣷⣶⣶⣶⣶⣿⡟⠁⠀⠈⣿⣁⠉⠻⢿⣷⠶⠶⠶⣾⣿⣿⣿⡍⡁⠈⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠉⠀ ⠰⡟⠀⠙⠿⣿⣝⣿⣿⣿⣿⣿⠋⠁⠀⠀⡴⠋⠀⠈⢦⠀⠀⠙⣿⣀⣩⡿⠿⢯⠏⠙⠁⠀⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡆⠀ ⠀⠳⣦⠀⠀⠈⠉⠉⢩⣿⣿⣏⠀⠀⠀⢰⣇⠀⠀⠀⢨⡆⠀⠀⢸⡏⠉⠉⠉⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⡷⢦⡀⠀⠀⠀⠙⢻⣿⣦⣀⠀⠀⢷⣔⡤⢄⣸⡇⢠⣤⡾⠟⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⠀ ⠀⠀⣾⠃⠀⠈⠓⠤⣀⠀⠀⠀⠉⠉⠁⠀⠀⠉⠛⠛⠋⠀⠀⠀⠠⠒⠋⠀⢀⡠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣀⠀⠀⠀⡇⠀ ⠀⠐⣿⡂⠀⠀⠀⠀⠀⠉⠙⠒⠒⠢⠤⠤⠤⠠⠤⠤⠤⠤⠄⠒⠒⠒⠊⠉⠁⠨⡳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⡇⠀ ⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡿⠀⢠⠃⠀ ⠀⠀⢹⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⡜⠀⠀ ⠀⠀⠈⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢻⠃⠀⢸⠁⠀⠀ ⠀⠀⠀⠀⠻⠗⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⠟⠀⠀⠀⠀⣠⠎⠀⠀⢀⣰⣿⠇⠀⠀⢀⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⣼⠏⠀⢀⣞⡿⠛⠁⠀⠀⠀⡞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡟⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⡯⠀⠀⠀⠀⠀⢸⣿⠀⠀⣼⠉⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠈⠛⠲⠦⣤⡴⠦⣄⡀⠀⣀⡴⠟⠛⠉⠁⠀⠀⠀⠀⠀⣠⣿⡏⣢⣼⢿⣄⡀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠳⠀⠀⠀⠀⠀⠉⢱⡏⠉⠙⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⠋⠁⠀⠀⢹⡏⠀⠀⠀⡰⠀⣸⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠈⡿⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡟⠀⠀⠀⠀⢀⠼⠃⠀⠤⠚⠁⡰⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣠⣿⣦⣤⣤⣤⠀⢰⡾⠁⠀⠀⠀⢸⡀⢰⠀⢀⣀⡀⣀⣴⣿⡏⠀⠀⠀⠀⡔⠁⠀⠀⠀⠀⢀⡜⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠉⠉⠋⣳⠎⠀⠀⠀⠀⠀⢸⣿⡾⡿⠿⠿⠿⠿⣿⣿⠀⠀⠀⠀⠈⠳⢄⣀⡀⢀⣠⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠓⠤⣄⣀⣀⣀⡠⠞⠁⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠢⢤⣀⡀⠀⢀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣦⣤⣤⣀⣀⣀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣀⣀⡤⠤⠴⠒⠒⢚⣻⡿⣷⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠏⠀⠉⢳⣄⡀⠈⠹⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠳⠀⠀⠀⣴⣯⡄⠀⠸⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⡃⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠢⡀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣱⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣏⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⣀⠀⠀⠀⠀⣀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⢠⣤⣀⣀⣀⣤⣤⣤⣤⣤⣀⣀⡼⠀⠀⠀⠸⣅⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⡠⡄⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠙⢯⡉⠉⠻⣿⡿⠉⠉⢉⡿⢧⣤⢠⡴⣦⡽⠿⣉⠉⠘⠿⠿⠋⠀⢀⡼⠋⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠈⠻⣷⣶⡤⠴⠲⠚⢩⠐⠄⠙⣾⣟⠋⠁⠀⠈⡙⠲⠶⢤⣖⠾⠅⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⢰⡴⠚⠉⠉⠓⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⢀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠈⢷⡄⢀⡀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢦⡀⠀⠀⠀⠀⠀⠈⠦⡍⠤⠀⠀⠀⠀⠀⠀⠀⠬⣁⠼⠃⠀⠀⠀⠀⠀⢀⣠⢾⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠙⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⢸⡃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠃⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠳⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠈⢦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣴⠃⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣄⠀⠀⠀⠀⠀⢀⣴⠄⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠈⢳ ⠀⠀⢀⣠⠤⠖⠒⠉⠉⠁⠀⠀⡇⢀⡤⠤⢬⣆⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⡁⠀⠀⠀⠀⠘⡿⠀⠀⠀⠀⠀⠀⠀⣰⢃⠔⠒⠲⣤⣀⡾ ⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠾⣄⣤⣆⠹⡄⠀⠀⠀⠀⠀⠀⠀⠘⡇⠱⡀⠀⠀⡼⠀⡇⠀⠀⠀⠀⠀⠀⢠⡿⠃⢠⣤⣤⡼⢹⡧ ⣸⠁⠀⠀⠀⠴⠶⢷⠦⣤⣄⣀⣸⡤⣿⡏⢸⡆⠹⡄⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⢀⣀⣀⡇⠀⠀⠀⠀⠀⠀⢾⣁⠀⠙⢦⣹⠿⠯⠿ ⢧⠀⠀⠀⠀⠀⠀⠀⠈⠁⠘⡏⠉⠓⠛⠓⠻⣄⣀⣹⡄⠀⠀⠀⠀⠀⠀⢸⠉⠉⠉⠉⠁⠉⢳⠀⠀⢀⠀⣀⡀⠼⣏⠙⣦⠞⠁⠀⠀⠀ ⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⣞⢡⡞⠓⠒⢠⠖⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠈⠧⣄⠈⠀⠉⣷⣀⣸⠟⠋⠀⠀⠀⠀⠀ ⠀⠀⠙⠦⢤⣀⣀⡠⠴⠚⠁⠀⠀⠀⠀⠀⠀⠙⠚⠛⠦⠤⠟⠳⠔⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣤⣤⣄⣀⣀⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣶⠶⠾⠿⠛⠛⠛⠛⠛⠿⠷⠶⣶⣤⣤⣀⡀⠀⠀ ⠙⣶⡶⠶⠶⠚⠛⠛⠛⠉⠉⠉⢉⣭⡿⠛⠉⠉⠉⠀⠀⠀⠉⠉⠉⡩⠿⠛⠉⠉⠀⠀⠀⢀⣀⣀⣤⣤⠤⠤⣤⣤⣀⣀⠀⠉⣉⣻⣷⡤ ⠀⠈⢿⣦⢄⡀⠀⠀⠀⠀⢀⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣤⡖⠋⠉⠁⠀⠀⠀⠀⠀⢀⡤⠞⣡⣴⠿⠛⠉⠀⠀ ⠀⠀⠀⠻⣧⡙⢶⣄⣀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣦⡀⠀⠀⠀⣀⡶⢋⣴⡾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢷⡌⢷⣽⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣄⢀⡴⠋⣠⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⣴⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡟⠁⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣿⣇⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⣿⣸⣏⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠉⠙⠢⣄⠀⠀⠀⢹⠋⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠛⠋⠉⠉⠉⠙⠳⣦⣾⣽⣭⡽⠛⠛⠒⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠈⠑⢤⣀⡸⢀⠀⠀⢀⣀⣠⠴⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡏⢿⡟⠛⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⣿⠛⣶⢦⣄⠀⣿⠁⢸⡏⣏⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣼⠏⠸⡄⣿⣦⣈⡟⢻⠀⢸⡇⠛⠒⢲⡟⠛⣿⣿⠛⠉⠉⢻⣿⡿⠛⢻⠛⠛⢺⠇⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡄⠀⠹⣌⣻⣿⢷⡏⠀⢀⣧⠀⠀⠀⢷⡀⠙⣿⣷⣶⣾⣿⡿⠁⣠⠏⠀⢠⡟⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣿⣄⠀⠀⠙⣩⠞⠻⣯⠽⠛⣦⡀⠀⠈⢷⣄⡀⠉⠛⠛⢉⣠⠴⠋⢀⣴⠋⠀⠀⣀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣿⡶⠴⠚⠁⠀⠀⢛⡶⠟⠆⠙⠳⢤⣄⣉⠛⠛⠛⠛⢉⣁⣤⠶⠋⠀⣀⣴⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣤⣀⣀⣠⠜⠹⣄⠀⠀⠀⠀⠀⠉⠉⠛⠓⠚⠉⠁⠀⣀⣴⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⢿⣿⠿⠶⠶⠶⠶⠶⠶⠶⠶⠶⠾⠟⠛⠋⠙⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡷⣄⠀⡶⠀⠀⢀⠀⠀⠀⣠⡴⠶⠦⣄⡈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠘⢷⠃⠀⠀⢸⠀⠀⣼⠃⠀⠀⢀⡼⠁⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⢶⣿⣠⣶⣿⣄⠀⢀⣸⣄⢰⠃⣀⣠⣽⠿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣯⣴⣁⣼⡏⣼⠀⡜⢳⣾⣿⣭⣿⣶⣾⡯⠁⠀⠀⠀⣰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠛⠧⣯⣽⠟⡋⠁⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣞⣫⡴⠊⠁⠀⢀⣤⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⢀⣤⡶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⣡⡟⣡⡴⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⢰⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡖⠀⠀⠀⢰⠀⠀ ⠀⠀⢸⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢀⠏⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠈⢧⡀⢀⣠⠤⢾⣇⣤⣤⣄⣀⣤⣤⣠⣷⠦⢤⣀⠀⣠⠏⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⢸⡀⠀⠀⢀⣤⣼⢯⠉⠉⠀⠀⠀⠈⠉⠁⠉⠋⠁⠈⠉⠀⠀⠀⠈⠉⠹⢻⣤⡄⠀⠀⠀⣼⠀⠀ ⠀⠀⢸⣿⣤⣾⠿⠋⠃⠀⠀⠀⠀⠀⢀⣠⠀⣀⡄⠐⣄⡀⢠⣀⠀⠀⠀⠀⠀⠀⠋⠻⢿⣦⣾⡟⠀⠀ ⠀⠀⠈⣿⣿⠓⠀⠀⠀⠀⠀⠀⣠⡐⣾⣧⣾⡿⢀⣇⠹⣷⣬⣿⡄⣠⠀⠀⠀⠀⠀⠀⠘⣹⣿⡇⠀⠀ ⠀⠀⠀⣿⣿⠁⠀⠀⣄⣀⣤⣤⣿⣿⣿⣿⣿⡇⠘⠹⠄⣿⣿⣿⣿⣿⣧⣤⣄⣀⡴⠀⠀⢹⣿⡇⠀⠀ ⠀⠀⠀⡿⠀⠀⠀⣠⣿⣿⠉⠀⡏⠙⣿⣿⣿⠀⠀⠀⠀⣹⣿⣿⡟⠉⡇⠈⢹⣿⣤⡀⠀⠀⠹⡇⠀⠀ ⠀⠀⢰⠁⠀⠠⢾⣿⣿⣿⣷⣄⣃⣠⣿⣿⠏⠀⠀⠀⠀⠈⢿⣿⣧⣀⣃⣴⣿⣿⣿⣿⠦⠀⠀⢳⠀⠀ ⠀⠀⡏⠀⢰⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⣠⣶⣶⣦⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢠⠀⠘⡇⠀ ⠀⢸⠃⠀⡏⠀⠈⢙⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⠻⡟⠀⠀⠀⠀⠈⠹⣿⣿⣿⣿⣟⠉⠀⠈⡦⠀⢷⠀ ⠀⢸⠀⣠⠏⠀⢀⡼⠆⠙⠛⢛⡏⠀⠀⠀⣠⠔⠋⠉⠓⢤⡀⠀⠀⠘⡟⠛⠛⠁⠾⣄⠀⠈⢧⠀⢸⠀ ⢀⡏⠀⠘⡄⠐⣳⣀⣀⠀⠀⠉⡶⠀⢀⡜⣡⣜⣠⢦⣰⣦⡙⡄⠀⠰⡎⠁⠀⢀⣀⣸⡓⠀⡜⠀⠘⣆ ⠈⢳⡀⠀⠀⠀⠉⠘⠹⢶⣈⣉⣁⠾⠋⠀⠘⠹⠁⠀⠹⠛⠀⠘⠻⣄⣉⣉⣰⠿⠙⠉⠁⠀⠀⠀⣰⠋ ⠀⠀⠓⠦⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠞⠁⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣦⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣫⡶⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣼⣿⣿⣿⣦⣙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣩⣾⣿⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠸⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠻⣿⠟⠛⠛⠿⣿⠟⠉⣀⣾⣿⣿⡇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢈⣿⡟⢿⣿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣿⣿⣿⣿⡟⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠎⣿⣧⠀⠉⠁⠀⢀⣀⣴⣦⣴⡀⣄⣀⡀⠀⠀⢸⢿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣏⠉⠀⢠⣴⣶⣿⣿⣿⣿⣿⣷⣿⣿⣷⣾⣦⣄⠈⠉⠻⠿⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡾⢟⣥⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⣴⣿⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⢻⡇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡟⠀⠸⣿⣿⣿⣿⡿⠻⣿⣿⣿⣿⣿⠁⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⣿⣿⣿⣿⣷⣄⠘⠁⣹⣿⣿⠀⠀⠀⣿⣿⣟⠛⠿⠁⣸⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡏⠙⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠹⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⠼⢸⣿⣿⣿⣿⡇⠀⠈⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡿⠓⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⡿⠿⠁⣀⠀⠀⠀⣀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢸⣿⣿⣿⣿⡇⠀⠀⠿⢿⣿⣿⣿ ⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⠃⠀⠀⠀⠈⢙⣿⠋⠁⠀⠈⠛⣿⣿⣿⣿⣿⣿⠇⠀⠀⣸⣿⡿⠟⠁⠀⠀⠀⠀⠀⠈⠙⣿ ⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣇⠀⠀⣠⠞⠉⠉⠙⣄⠀⠀⠀⣿⣿⣿⡟⠉⠀⠀⠀⣠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿ ⣿⣿⣿⣷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⡚⠁⠀⠀⠀⠀⠈⣦⣠⣾⣿⡿⠃⠀⠀⠀⠀⠀⠈⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⣼⣿ ⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠻⠷⠿⠿⠶⠿⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⣷⡄⠀⠀⠀⠀⠀⢸⣿⣿ ⣿⣿⣿⣿⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⣷⣄⣀⣀⣀⣀⣼⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⢰⠒⠢⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⣲⠀⠀ ⠀⠀⠘⢿⢆⠀⠈⠉⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠋⠁⠀⣠⣾⠇⠀⠀ ⠀⠀⠀⠈⢻⡳⣄⠀⠀⠀⠈⠙⠢⢄⡀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⣠⠴⠚⠉⠀⠀⠀⣠⢞⡵⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢬⠳⣄⠀⠀⠀⠀⠀⠉⠓⠒⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠓⠒⠋⠀⠀⠀⠀⠀⢀⠜⣡⠞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠳⣎⣧⡀⠀⣄⣹⠛⠂⠀⠀⠀⠀⠀⢀⡀⢠⡀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢫⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⡿⢛⣀⣽⠉⠀⠀⠀⠀⠀⠀⢠⡟⢻⠋⠙⡾⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡏⠠⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡄⢙⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡜⢹⣟⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣷⡿⢻⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡇⠀⠿⠁⠀⠀⢷⠦⠤⣀⣀⠀⠀⠀⠀⢰⠀⠀⣤⠀⠀⠀⠀⢀⣀⡤⠤⢶⠃⠀⠀⠿⠃⢘⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠘⢧⡀⠙⠉⣙⡶⠀⠀⣸⠀⠀⢻⠀⠀⢰⣏⠉⠛⢀⡴⠋⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠱⣄⠀⠀⠈⠉⠉⠁⠀⠀⣰⠇⠀⠀⠘⢧⡀⠀⠈⠉⠉⠉⠀⠀⢀⡶⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠈⠑⠦⣄⡀⠀⣠⠴⠋⢁⣤⢤⠤⣤⣀⠙⠲⣄⡀⠀⣀⠤⠚⠁⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⣀⣀⣩⣟⣧⡄⠀⠈⠛⢻⡟⠟⠋⠀⠀⡤⣿⣏⣁⣀⡀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠁⠀⠀⢀⡠⠖⠊⠉⠁⣀⣼⡬⠟⠂⢀⡠⠖⣛⣙⠲⢤⡀⠀⠒⠤⣿⣀⠀⠉⠙⠲⢤⣀⠀⠀⠈⢳⡀⠀⠀⠀⠀ ⠀⠀⠀⢠⠞⠀⠀⠀⠖⠉⠀⠀⢀⠴⠊⠁⠀⠳⣄⣰⠋⠀⠈⠁⠀⠉⠀⠙⢦⣀⠜⠁⠀⠉⠲⣄⠀⠀⠈⠳⠄⠀⠀⠙⣆⠀⠀⠀ ⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠂⠀⠒⠒⠋⠁⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀ ⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀ ⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣

⠀⠈⠻⢿⣟⠻⠿⣟⡛⠛⠓⠒⠶⠶⢦⣤⣄⣀⣤⣤⣤⡶⠶⠶⠶⢶⡶⠶⠶⠶⣶⣦⣤⣤⣄⣤⣤⡶⠶⠶⠒⠒⠛⢛⣛⠿⠟⢛⡿⠗ ⠀⠀⠀⠀⠙⠳⣄⠀⠙⠳⣄⢀⣠⡶⠞⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⢶⣤⣀⣠⠖⠋⠀⣠⠞⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⣸⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣇⠀⢀⡾⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⣤⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣤⡟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⢀⣠⠶⣶⠶⣶⣶⣶⣶⣦⣤⣀⠀⠋⠀⠀⠙⠀⣀⣤⣴⣶⣶⣶⣶⠶⣶⠦⢄⡀⠀⢻⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠙⢦⡈⠛⠛⢛⡵⠛⠉⠙⠂⠀⠀⠐⠋⠉⠻⣮⡛⠛⠛⣁⡴⠋⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠘⠫⢽⠯⠍⠀⠀⢀⣠⠿⣹⣏⢷⣦⠀⠀⠐⠩⠽⠭⠁⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡄⠀⠀⠀⠀⠀⠀⣀⠤⠐⣲⠟⣩⡤⠶⠾⠷⠶⢯⣍⠻⣗⠢⠤⢀⡀⠀⠀⠀⠀⠀⢠⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣾⣦⡀⠀⠀⠀⣀⠔⠋⠀⠚⠁⠀⠀⠀⠀⠀⠀⠈⠑⠀⠙⠢⣄⠈⠀⠀⢀⣴⣶⡿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠻⣶⢤⣌⡀⠀⠀⠀⠀⠀⠀⠲⠿⠽⡦⠀⠀⠀⠀⠀⠀⢀⣁⡤⣶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠈⠉⠛⠒⠶⠤⠤⢤⣄⠀⢀⣀⡤⠤⠤⠖⠒⠛⠉⠁⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣤⠶⠶⠦⢤⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡤⠴⠶⠶⣤⣄⠀⠀⠀ ⠀⠀⠀⢀⣾⠋⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠙⣷⠀⠀ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠘⢷⡆⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⢰⡾⠃⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢹⡇⠀ ⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀⠀⠀⠀⠀⣾⠇⠀ ⠀⠀⠀⠀⣹⣧⡀⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⢀⣼⠏⠀⠀ ⠀⢀⣠⣾⡋⢙⣷⣶⣶⣆⡀⠀⠙⠷⠀⠀⠀⣀⣼⣇⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢀⣻⣧⣀⠀⠀⠀⠼⠋⠀⢀⣤⢶⣶⣾⠋⠀⠀⠀ ⢠⡾⢿⣟⣵⢿⠏⠁⢠⠋⠁⠀⠀⠀⠀⣠⡿⢋⡽⠋⣻⠦⠀⠀⠀⣾⣇⠀⠀⠀⠴⡟⠙⢯⡙⢷⣄⠀⠀⠀⠀⠈⠑⡄⠈⠹⡿⣦⡀⠀ ⠉⢀⡟⠘⢷⣾⡀⠀⡇⠀⠀⠀⠀⠀⠠⣿⠀⡾⠀⣰⠁⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠘⡆⠀⢷⠀⣿⠄⠀⠀⠀⠀⠀⢸⠀⣀⣧⡾⠃⠀ ⠀⢸⣷⡇⠀⠉⠉⠛⠛⠒⠲⠶⠶⢶⣶⣿⣶⣧⣄⣿⣄⣀⣀⣠⣴⣟⠻⣦⣀⣀⣀⣠⣿⣠⡼⠷⠛⠒⠒⠒⠒⠒⠒⠛⠛⠉⠉⠀⠀⠀ ⠀⠘⡟⣧⣰⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠛⠋⠉⠉⠉⠛⠛⠻⠿⠶⠤⣤⣍⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣴⣾⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⠛⢦⣄⠀⢶⣄⡀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡴⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢶⣽⣯⣓⠲⠤⣭⣿⣿⣿⣛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣿⠿⣶⣄⣠⠴⠚⠋⠉⠉⠉⠙⠒⠦⣤⣴⡿⢿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⣯⠞⢉⣀⣠⣤⣤⡀⠀⢰⣶⣤⡀⠀⠙⠻⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢈⣿⣷⣿⣿⣿⣿⣿⡟⣧⣦⢹⣻⣿⣿⣶⣦⣤⣈⠳⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⡿⠿⠿⣿⣿⣿⠿⣿⣧⠛⣼⣿⠿⢿⣿⣿⡿⠿⣷⣾⡆⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣷⡄⠐⢿⣿⠃⣠⡿⠁⠀⠈⢻⣄⠐⢿⣿⢃⣰⣿⣿⣷⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣷⣾⣷⣾⠟⠁⠾⣭⡿⣇⣉⣿⣾⣿⣿⣿⣿⣿⠇⠀ ⠀⠀⠀⠀⣰⠃⠹⣿⣿⣿⣿⣿⣿⠉⡿⣤⠞⠉⠙⢣⡙⣗⢾⣿⣿⣿⣿⡋⠀⠀ ⠀⠀⠀⣰⠃⠀⠀⠈⠙⣿⣿⣿⣿⡎⠈⠁⠀⠀⠀⠀⢃⣈⣦⠿⠿⣍⠀⠈⠳⡀ ⠀⠀⢰⠃⠀⠀⠀⠀⡴⢱⠃⢠⠋⠉⠓⠒⠒⠖⠒⠚⢹⡏⠀⢢⠀⠈⢢⡀⠀⠘ ⠀⠀⡟⠀⠀⠀⠀⠘⠁⠃⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠈⠁⠀⠀⠑⠀⠀ ⠀⢸⠃⠀⠀⠀⠀⠀⠀⡇⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⣀⣀⣀⡀⢧⠀⠀⠀⡀⠀⢀⡀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡄⢀⡞⠉⠀⠀⠉⢻⠀⠀⠀⢸⠉⡏⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣇⠸⠀⠀⠀⠀⠀⠘⡇⠀⠀⢸⠀⡇⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⡇⡇⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣠⣽⡄⠀⠀⢠⠔⠒⢾⡀⠀⠀⢹⣿⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣿⣿⡿⠛⠢⠤⠤⣄⣵⣾⢷⣈⣆⣿⠿⣆⣤⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣧⣄⣀⣀⣀⣠⣤⣤⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠉⠙⠛⠋⠉⠉⠉⠉⠉⠛⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⠀⣀⠀⠀⠀⠀⠀⠀ ⠛⠛⠓⠛⠙⠋⠋⠟⠟⠛⠟⠃⠚⠻⠛⠛⠀⠀⠠⠿⠲⠱⠓⠃⠒⠚⠰⠘⠁⠀

⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⡰⠁⡼⠿⢷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⣖⠛⣷⠀⠀⠀⠀ ⠀⠀⠀⡇⡜⠁⠀⠀⠈⠛⡗⢦⣀⠀⠀⠖⠒⠒⠒⠒⠒⠒⠒⠒⠲⠤⠄⣀⣀⣴⣋⠤⠒⠉⢧⢸⠀⠀⠀⠀ ⠀⠀⢀⡿⢃⣤⠄⠐⡒⠊⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠳⠿⢄⡀⠘⣿⠀⠀⠀⠀ ⠀⠀⠐⣇⢸⢃⣠⡞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣄⠀⠀ ⠀⡼⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⠆⠀⢰⣦⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⡅⠀ ⢰⢱⠇⠀⠀⠀⢀⣤⣀⣀⣀⣀⣀⣀⣀⣀⣩⣿⣄⠀⠘⠷⢤⣤⣤⣤⣤⣶⠶⢶⣶⠒⠉⠀⠀⠀⠀⢀⣳⡄ ⠸⣾⠀⠀⠀⠀⠀⠙⢿⣯⣉⣛⠛⢉⣩⣴⡿⠇⠀⠀⠀⠀⢿⣧⣄⣉⣁⣀⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⢈⡅ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠿⠿⠏⠀⣴⣶⢶⣶⣤⠈⠓⠊⠉⠉⠭⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟ ⠀⠸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢹⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇ ⠀⠀⠘⢃⡄⠀⠀⠀⠀⠀⠀⠀⣠⣶⢞⡿⠀⠀⢸⣗⠀⠀⠀⢸⡀⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠁⠀ ⠀⠀⠀⠘⣷⣤⠀⠀⠀⠀⢀⣴⡟⣡⡞⠀⢁⡼⠛⠛⠷⣄⠘⢆⣿⡶⡌⠳⣄⠀⠀⠀⠀⠀⢀⣤⠟⠁⠀⠀ ⠀⠀⠀⠀⠈⠋⠃⠀⠀⣠⠎⣹⠟⡱⠁⠐⠋⠤⠤⠄⠀⠈⠣⠈⢧⠙⢿⣆⠈⠣⡀⠀⠀⢠⣿⠅⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠔⠡⡴⠃⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡈⠻⣧⡀⠙⣄⠀⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⢰⠃⠀⠸⣦⣀⣀⣀⣀⣀⡀⢀⣸⠆⠀⠹⡀⠉⠱⣄⠈⢆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠠⠃⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⢳⠀⠀⠈⢦⠈⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⡁⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣻⣿⠋⢹⣿⠀⠀⠀⠀⠀ ⠀⠀⠘⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⠛⣿⣿⠀⢀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣿⣿⣝⢿⣿⣿⣦⡠⣤⠤⠶⠖⠒⠚⠋⠉⠉⠉⠉⠉⠉⠛⠒⠶⢦⣤⣀⣤⣾⣿⣿⡿⠿⠛⠒⠆⡙⢿⣶⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣿⡿⣷⡝⠿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠙⠻⣿⣿⡯⠥⠀⠀⠀⢀⢸⣿⣿⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⣮⡁⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠿⣶⣤⣀⣢⡺⣿⣿⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⡟⠀⢀⣤⣤⣾⣶⣾⡿⢃⡀⠀⣾⠀⢀⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⣿⣧⣴⣿⣿⣿⣿⣿⣿⢇⣼⡇⠀⣿⣷⣿⣿⣿⣷⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⡿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠉⠀⠀⣿⣿⣿⣿⣿⣿⣿⣦⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⡟⠁⣿⠀⠙⣿⣿⣿⠀⠀⠀⠀⢿⣿⣿⣿⡿⠋⢻⡏⠉⠙⣿⣿⣿⣷⣄⠀⠀⠀⠀⠈⠹⢿⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⣿⣿⣿⣷⣤⣉⣠⣴⣿⣿⠃⠀⠀⠀⠀⢸⣿⣿⣿⣧⡀⠘⠋⢀⣼⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⠀⣿⣷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣷⣶⣶⣦⡀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⢻⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣯⣟⡻⢿⡿⠛⠉⠀⠈⠛⢻⣿⠛⠉⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠿⢿⣿⡟⠀⠀⠀⣀⣴⡶⠿⠿⠿⠷⣶⣄⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⠿⢿⡇⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠐⢟⣛⣛⣛⡻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⣾⣿⣿⣷⣄⠀⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⠀⢠⣴⣶⣭⣝⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣤⣀⣤⣾⣷⣯⣻⠿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⢿⣿⣿⡿⠶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⠛⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⣀⣀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⠿⠿⢿⣿⡿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣆⠀⠀ ⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀ ⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣭⡉⢉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇ ⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠶⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠉⠉⣧⣭⣍⠉⠉⠉⠉⠉⣯⣭⣽⠉⠉⠉⠀⣠⣤⣴⣶⣶⣤⣄⡀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⡀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⡄⠀⠉ ⠀⠀⣿⣿⣿⣦⠀⠀⠀⠀⢸⣿⣿⠀⢀⣴⣿⣿⣿⡿⠿⢿⣿⣿⣿⣦⡀⠀⣹⣿⣿⣿⡿⢿⣿⣿⣿⣦⢸⣿⣿⣿⣿⡿⠿⠿⣿⡇⠀⠀ ⠀⠀⣿⣿⣿⣿⣷⡄⠀⠀⢸⣿⣿⢀⣾⣿⣿⠋⠁⠀⠀⠀⠀⠙⢿⣿⣿⡄⢿⣿⣿⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⢿⣿⣿⣆⠀⢸⣿⣿⢸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣧⢹⣿⣿⠆⠀⠀⠀⣰⣿⣿⣿⣿⣿⣧⣤⣤⣤⣤⣤⡄⠀⠀ ⠀⠀⣿⣿⣿⠀⠻⣿⣿⣧⣸⣿⣿⢸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢸⣿⣿⡿⠿⠿⠿⠿⠿⠇⠀⠀ ⠀⠀⣿⣿⣿⠀⠀⠙⣿⣿⣿⣿⣿⠘⣿⣿⣷⣄⠀⠀⠀⠀⠀⢀⣾⣿⣿⠇⣿⣿⣿⠛⠛⠛⠛⠋⠁⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⠀⠀⠀⠈⢻⣿⣿⣿⠀⠘⢿⣿⣿⣷⣶⣶⣶⣾⣿⣿⡿⠋⠀⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣶⣶⣶⣶⣶⡆⠀⠀ ⠀⠀⠿⠿⠿⠀⠀⠀⠀⠀⠹⠿⠿⠄⠀⠀⠉⠛⠿⠿⠿⠿⠿⠛⠉⠀⠀⠀⠿⠿⠿⠆⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⠿⠿⠿⠿⠿⠇⠀⠀

⠀⠀⣶⠒⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠞⢻⠀⠀ ⠀⠀⠙⣿⣄⠀⠈⠙⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠛⠉⠀⣠⣶⠟⠀⠀ ⠀⠀⠀⠘⢮⡳⣄⠀⠀⠀⠈⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠚⠉⠀⠀⠀⢠⠞⡵⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣎⡳⣄⠀⠀⠀⠀⠀⢉⣓⠶⠖⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠒⠶⠖⠋⠀⠀⠀⠀⠀⢀⡔⣡⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠳⣌⢧⡀⠀⣀⣸⣷⠶⠀⠀⠀⠀⠀⠀⢠⠀⢠⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢋⡴⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠿⡄⢹⣿⠃⠀⠀⠀⠀⠀⠀⢠⣾⣷⠟⠱⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣶⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠈⢿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠀⠀⠉⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡈⣧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⢷⣦⢿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⣧⡾⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡟⠀⣿⡷⠀⠀⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠀⠀⠰⣿⠧⢸⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠀⠈⠁⠀⠀⠈⣧⠉⠹⣷⠶⢤⡀⠀⠀⣿⠀⠀⣿⠀⠀⢀⡤⠴⢺⡏⠉⣸⠇⠀⠀⠈⠉⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⢠⡀⠀⠈⠓⠦⠤⠴⠞⠋⠀⢀⡟⠀⠀⠸⣆⠀⠘⠓⠶⠤⠴⠞⠁⠀⢀⣀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠑⢦⣀⠀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⠀⠙⠦⣄⠀⠀⠀⠀⠀⢀⡤⠞⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠈⠙⠶⢤⣴⠚⠁⠀⢲⣿⣭⣭⣿⡶⠀⠈⠑⣦⣤⠴⠚⠉⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⣀⣤⠤⠶⠶⡿⠿⣹⠂⠀⠀⣀⣽⣿⣁⠀⠀⠀⣻⠽⢿⡶⠶⠦⢤⣄⡀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠏⠀⠀⢀⡤⠖⠋⠁⠀⢀⡤⠖⢿⡉⠉⢀⡴⠚⡽⠴⠦⢭⠙⢦⡀⠉⠉⣿⠳⢦⣀⠀⠀⠉⠓⢤⡀⠀⠀⠙⢆⠀⠀⠀⠀ ⠀⠀⢀⡴⠃⠀⠀⠀⠋⠀⠀⠀⣠⠞⠁⠀⠀⠀⠙⠦⠬⣄⣀⡀⠀⠀⠀⣀⣠⡽⠴⠟⠁⠀⠀⠈⠳⣄⠀⠀⠀⠙⠀⠀⠀⠈⢳⡀⠀⠀ ⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀ ⢀⡞⠀⠀⢀⡀⡀⠀⡀⢀⡘⠃⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⢈⡓⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄ ⡞⠀⠀⠀⢹⡻⠹⡿⡟⣿⠏⠸⠿⠹⠌⠇⠿⠴⠿⠯⠝⠿⠻⠄⠯⡿⠻⠹⠻⠏⠯⠟⠟⠾⠗⠿⠿⠟⠿⠇⠸⠍⠫⠗⠟⠁⠀⠀⠀⢹

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡀⠀ ⠀⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣷⠀ ⠀⢸⣿⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣟⣿⣿⣿⣿⡆ ⠀⠀⠹⣷⣽⢿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⢙⣽⣿⡿⣿⣿⡇ ⠀⠀⠀⠈⣿⣿⣿⢿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⠁ ⠀⠀⠀⠐⢸⣿⣿⣿⣻⣿⣿⡿⣶⣤⣀⡀⠀⢀⣤⣦⡴⣶⣦⣄⣶⡶⣦⣄⣀⣀⢀⣴⣿⣿⣿⣿⡿⠟⣹⢻⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⢻⣷⣯⣭⣭⡽⣿⣾⣿⣿⣿⡗⠋⠈⠁⠂⠀⠀⠀⠀⠀⠈⠾⢾⣽⣿⣿⣿⣿⣻⣿⣶⣿⠿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⢀⣿⣽⡿⣿⣭⡟⢟⠏⠛⠉⠀⠀⢰⠀⢀⠰⠀⠀⢀⠀⠀⠀⠈⢁⣿⢟⣵⣾⣿⣿⣭⣟⠷⣿⣿⡿⣿⠃⠀ ⠀⠀⠀⠀⠀⢾⣿⣴⣿⣿⠟⠂⠸⡄⠀⠀⠀⡄⢾⠀⡏⡄⠀⢃⡎⡄⠀⠀⢀⠞⠀⠘⠁⠈⠿⣿⣿⣟⣷⣭⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠈⣟⢿⡿⠍⠀⠀⠀⠈⢦⢠⣰⡧⣸⡰⠀⡷⣈⡎⣷⡍⣧⣰⠋⠀⠀⠀⠀⠀⠀⠛⠋⢿⣿⣷⣿⣿⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⢙⣆⣉⡠⣤⣴⣖⣷⣾⣾⣟⣲⣿⠇⣿⣧⢻⣧⢼⣿⣿⡗⣀⡔⠒⠉⠉⠙⠒⠤⢔⣿⣿⣿⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡜⢁⣨⣹⡾⣭⡽⣽⣿⣿⣿⣽⣿⢠⣇⢻⣜⢿⣿⣿⣿⣿⣿⣧⣤⣀⣤⣤⠄⠀⠈⢿⣿⣿⣿⠀⠀⠀⠀ ⠀⢠⠀⠀⢠⡿⢦⣾⣿⢻⠛⢛⣿⣿⢿⣿⣿⣿⠉⣿⠟⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⠿⣷⡴⠊⠀⠈⠻⢿⣿⡀⠀⠀⠀ ⠀⠀⢳⡐⢻⣧⢸⣿⣻⢾⣷⢺⣿⡿⢀⡏⣿⣻⠀⠀⠀⢌⣿⣿⣿⣿⠻⣿⣿⣿⡋⢻⣟⣻⣿⣯⠶⠒⠀⠀⠿⣗⡀⠀⠀ ⠀⠀⠀⠙⢴⣿⢈⣻⣿⣦⡙⠷⢶⣷⣿⣹⡿⠋⠀⠀⠀⠘⣿⣿⡼⣿⣄⠙⠿⣋⣠⢿⣿⣿⣷⠿⢷⣀⠀⠀⠂⣽⣟⠂⠀ ⠀⠀⠀⠀⢸⣿⠢⡙⠿⣿⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⣉⠁⠉⠉⠁⡀⢿⣯⠇⠀ ⠀⠀⠀⠈⢸⣿⠒⠮⢝⣆⠙⢶⣤⠟⠉⠠⣀⡀⠀⣀⣀⢀⡀⠸⣿⣿⠻⣿⣿⡿⣿⣿⣿⣿⡧⠀⠀⠀⢈⣂⠠⣿⣷⣓⠀ ⠀⠀⠀⠀⢐⣿⠀⠀⠀⢈⣙⡒⠄⠀⠀⠀⠀⢹⣶⢼⡉⠉⠁⠀⠈⠻⠿⢿⣿⡙⠿⠇⠁⠀⠀⠀⠀⠀⠉⠉⠀⠸⣿⣗⠀ ⠀⠀⠀⠀⢨⣏⠐⠂⠀⢀⠉⠀⠀⠀⠀⣀⡦⠾⢿⣦⣴⡒⠂⢄⠀⠀⠀⠒⠚⠀⠩⣶⣀⠠⣄⡐⢤⠀⠀⠀⠀⠐⣻⣿⡀ ⠀⠀⠀⢀⣽⣥⠎⣠⠔⠀⠀⠈⠀⢠⣾⠉⠀⠀⢨⡃⣄⠙⣶⣄⢦⠀⠁⠀⣍⠡⣶⢤⡙⢏⠢⠄⠀⠀⠀⠀⠀⠀⠙⠿⣅ ⠀⠀⢒⠕⠀⢋⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠊⠃⠗⠙⣟⣼⡤⢤⢺⠳⢬⡑⢍⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣐⡿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠱⡀⠑⣄⠀⠨⣲⢕⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠈⠑⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡼⠃⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⣰⠖⠀⠀⠓⠢⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⢚⣳⠖⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠐⠀⠀⠈⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠼⢟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣚⡵⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⢼⣛⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠲⠶⠦⠤⠶⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⢿⡣⠤⠄⡀⠈⠉⠀⠀⠀⢀⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠴⠘⠓⢀⣨⡀⠀⠀⡐⣂⡴⠁⠀⢀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠙⠓⠂⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⣹⠷⢋⣉⣀⡀⠈⠸⠟⠀⣠⣤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡌⢦⡀⠀⠀⠀⠀⠀⠀ ⢠⣶⣿⣾⠭⠐⠂⠀⠘⡎⠀⣌⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠁⠀⠀⠀⠀⠀⠀ ⢾⡯⠉⠠⠠⠀⠀⠀⠀⠁⠵⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⣹⣞⢩⣭⣁⣂⣠⡝⠃⣀⣤⡚⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠆⠀⠌⠻⠥⢄⣘⣽⡶⢄⠂⠀⠀⠀⠀⠀⠀⠀ ⠉⠉⠉⠉⠉⠉⠉⠈⠉⠉⠉⠉⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠉⢉⠉⠉⠉⠋⠉⠀⠀⠁⠉⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠴⢲⣶⠖⠀⠀⠀⠀⠀ ⠈⠙⠻⣇⡒⠒⠲⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢦⠀⠀⠀⣹⣤⠤⠴⠒⠒⠊⠉⠉⠉⠉⠉⠉⠑⠒⠒⠦⠤⣼⡁⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣇⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⡇⢀⡴⢾⣿⢻⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⢻⡷⢦⡀⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⢿⣦⡙⠛⢛⡿⠋⠙⠂⠀⠀⠘⠋⠙⣿⣝⡛⠛⣡⠞⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠉⣛⣛⣉⠀⠀⠀⣴⣶⣶⡦⠀⠀⠈⣙⣛⣛⠁⠀⠀⠀⠀⠈⡇⠀⡴⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠈⢉⣠⣤⡶⢀⣨⣿⣯⣁⠀⢦⣤⣀⠉⠁⠀⠀⠀⠀⠀⢀⡇⠀⡇⠈⣇⠀⠀⠀ ⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠒⢉⡴⠊⡴⠛⠉⠀⠈⠉⠛⢎⠱⣄⠉⠂⠀⠀⠀⠀⣀⣸⠇⣶⣿⠀⠻⢦⣀⠀ ⠀⠀⠀⠀⠀⡿⣶⣄⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠑⢤⠀⠀⠀⣰⣿⡟⣟⠉⠀⠀⠀⠀⢸⡆ ⠀⠀⠀⠀⠀⠓⠈⢿⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠰⠦⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⡿⠙⠁⢻⡀⠀⠀⠀⠀⢸⠇ ⠀⠀⠀⠀⠀⠀⠀⠈⠃⠈⠛⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠴⠛⠁⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⡏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠲⠦⠤⠤⠴⠖⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⠤⠤⠴⠇⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠾⠟⠛⠛⠉⠉⠉⠉⠙⠛⠛⠻⠶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣤⠶⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡷⢶⣤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⠶⠛⠉⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣆⠈⠉⠻⢶⣤⡀⠀⠀ ⢰⣾⣯⣅⣀⡀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⣀⣀⣬⣽⣷⡄ ⠈⠻⢦⣀⠀⠉⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣯⠁⠀⣠⡴⠋⠀ ⠀⠀⠀⠙⢷⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣦⠾⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⠃⢀⣤⠶⠒⠲⠦⢤⣄⣀⡀⠀⠀⠀⠀⠉⠻⠋⠉⠀⠀⠀⠀⠀⢀⣀⣠⠤⠶⠒⠒⠦⣄⠀⢸⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⡟⠀⠀⠀⣤⣤⣤⣤⣬⣭⣍⣉⡛⢻⠀⠀⠀⠀⢸⠟⢛⣹⣿⣭⣥⣤⣤⣤⣄⠀⠀⠈⢳⢸⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⡄⣧⠀⠀⠀⣿⣅⣀⢀⣀⣽⣿⡿⠃⢸⠀⠀⠀⠀⢸⠀⠹⣿⣿⣇⠀⠀⠀⣹⣷⠀⠀⠀⡼⢸⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣷⠹⣆⠀⠀⢻⣏⣈⣿⣿⡿⠛⠁⠀⢸⠀⢠⣄⡀⠸⡄⠀⠈⠻⢍⣹⣿⣿⣿⠏⠀⠀⣼⢃⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣷⡟⢧⡀⠀⠈⠉⠉⠁⠀⠀⠀⠀⡾⠈⢻⠷⡌⠀⣧⠀⠀⠀⠀⠈⠉⠉⠁⠀⣠⠞⣡⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣝⠳⠦⣄⣀⣀⡀⣀⡤⠞⠁⠀⠀⠀⠀⠀⠘⠧⣄⣀⢀⣀⣀⣤⠴⢚⣡⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢛⣿⠷⠶⢶⣶⣶⣶⣶⣶⡶⠶⠿⣿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣿⣀⣄⣀⣠⠀⠀⠀⡀⠀⠀⠀⣆⣀⣤⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠟⠋⠁⠀⠀⢸⣏⠀⠈⢻⣆⠀⠀⣷⠀⠀⣸⠟⠁⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⢠⡾⠻⢷⣄⡀⣿⣄⣠⣿⣄⣰⣟⣀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡟⢀⣴⡟⠁⠀⠀⠀⢸⣄⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⡿⠙⢷⣄⣀⠀⠀⠀⠙⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠳⠶⠶⠾⠿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⣁⣄⠘⡄⠀⠀⠀⠀ ⠀⠀⠀⣿⣯⣲⡀⠀⠀⠀⣀⣀⣀⡀⠀⢀⡔⢡⣾⣿⣿⡇⡇⠀⠀⠀⠀ ⠀⠀⠀⠸⣿⣿⠏⠓⠉⠁⠀⠀⠀⠈⠉⠉⠰⠿⣿⣿⣿⢠⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⡁⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠙⠇⡌⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⡿⡟⢷⣾⠀⣧⣶⡶⢛⠛⣿⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣋⠷⡷⣾⠫⡄⠸⣿⣷⣼⣶⠟⠁⡠⠀⠀⠀⢣⠀⠀⠀⠀⠀ ⠀⠀⠀⣺⣛⣷⠎⢉⠶⢅⠀⠙⠦⡤⠀⠒⠉⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀ ⠀⠀⢒⣿⣶⠧⢄⠁⠀⠀⠑⢰⣴⣷⣭⢍⡐⠢⢄⠀⠀⠀⢱⠀⠀⠀⠀ ⠀⠀⠐⢻⠀⠀⠈⠣⠄⠀⠴⠃⠙⡎⠻⡢⠈⢦⠀⠑⠀⠀⠸⡄⠀⠀⠀ ⠀⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠘⡄⠀⠓⠀⠀⠀⠀⢇⠀⠀⠀ ⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀ ⠀⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀ ⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀ ⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀ ⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄ ⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠿⢻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠟⢉⣤⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣶⢶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡿⠋⢀⣴⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣶⣌⡙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⣠⡿⠋⢀⣴⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣦⡙⠻⣦⣄⢀⣠⣶⡾⠿⠿⠟⠛⠛⠛⠛⠛⠛⠻⠿⠷⣦⡾⠟⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣦⣈⠻⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡿⠛⠁⠀⠀⠀⢀⠀⢠⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⣶⣶⣶⣤⣀⢻⣦⣾⡇⣀⣤⣴⣶⣶⣶⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣶⠛⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠛⢻⣿⠛⠿⣿⡟⠀⠀⢿⣿⣿⣿⣿⢿⣿⠛⠛⠛⢻⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣧⡀⠘⡟⠀⣠⡿⠀⠀⠀⠈⠻⣿⣿⠀⠸⣿⠀⠀⠀⣾⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠈⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣦⣤⣾⡟⣥⣤⣤⣤⠀⠀⠙⣿⣷⣄⣃⢀⣠⣾⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⢹⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣤⣾⣿⣿⣿⣿⣿⣿⡿⠀⠛⢷⡾⠋⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⠀⠀⠀⠀⠀⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠞⠋⠁⢠⣿⣿⣿⣿⣿⣿⣿⠁⣠⣴⡾⠷⣦⣄⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡀⠀⠉⠙⠛⠶⠄⠀⢸⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡴⠞⢹⣯⠉⠻⠿⠿⠿⠃⣴⡿⠉⠀⠀⠀⠙⢿⣄⠀⠀⠈⠛⠿⠿⠿⠿⠿⠟⠋⠉⠉⠉⠓⠶⣤⣀⠀⠀⠀⠘⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠀⠀⠸⣿⠀⠀⠀⠀⠀⢴⡿⠀⠀⠀⠀⠀⠀⠀⠹⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠀⠀⠀⢻⣿⣿⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣦⡀⠀⠀⠻⢶⣤⣄⣀⣀⣠⣤⡿⠂⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣶⣤⣤⣀⡀⠈⠉⠉⠉⠀⠀⠀⣀⣀⣤⣴⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡟⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠙⠁⠀ ⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠛⠛⠛⢻⣟⠛⠛⠷⠆⢸⡇⠀⠀⠀⠀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⠀⠀⠀⠀⠀⠀⣤⡄⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢠⡄⠀ ⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠸⣿⣠⣤⣤⠀⠀⠀⣫⣉⣹⣧⠀⣾⣂⣤⣤⣄⠀⢸⡇⣀⣤⣤⠀⠀⠀⠹⣷⡀⣰⡿⠀⣾⠟⠛⢿⡆⢸⣿⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⣿⠏⠀⢹⡇⢠⣿⠛⠋⠛⣿⠀⣿⡟⠁⠈⣿⡄⢸⣿⣿⡉⠀⠀⠀⠀⠀⠈⢻⣿⠁⠀⢿⣤⣤⡿⠃⠸⣿⡄⣠⣿⣷⡀ ⠀⠀⠀⠀⠘⠛⠂⠀⠀⠀⠀⢿⠀⠀⣿⡇⠈⠻⣿⣤⣴⣿⡀⢿⡇⠀⠀⣿⡇⠘⣿⠙⠛⠿⠗⠀⠀⠀⠀⣾⡏⠀⠀⠀⠈⠀⠀⠀⠀⠘⠛⠋⠁⠛⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣿⣿⣿⣦⡀⠀⠀⠀⠀ ⠀⠀⢰⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⣫⣾⣿⣿⣿⢿⡇⠀⠀⠀⠀ ⠀⠀⠈⠸⡼⣷⣽⡷⣄⡀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⣰⣟⣿⣿⣿⣿⣿⡏⣼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣼⣿⣿⣶⢯⣷⣿⣿⠟⠻⠛⠻⠿⠶⢾⣦⣾⣷⢿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢷⣿⣿⣶⠟⢋⠀⣶⡤⠀⢀⡀⢀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⡿⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣿⣇⣼⣦⣾⡔⠻⣷⢠⣄⣷⣿⣆⣀⣀⠀⠈⠙⢻⣿⣿⣿⣷⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡿⠿⢿⣿⡇⠀⠛⣿⣿⣿⡿⡿⠿⣷⣦⡀⠀⠀⠹⣷⢿⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣿⣄⣛⣠⣿⠇⠀⠀⢿⣿⣷⣄⣇⣤⣾⣿⣿⣷⣄⠀⠈⠻⣿⡀⠀⠀⠀⠀⠀⠀ ⢀⡀⠀⠀⣾⣿⣿⣿⣿⢿⣟⣉⡷⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣙⣃⣀⣀⠐⣻⣶⢦⡀⠀⠀⠀ ⠈⠙⠦⢤⣿⡻⢿⣟⠁⣀⡬⠿⢤⡀⠀⠀⠉⠛⣛⡿⢿⣿⣿⡿⠅⠀⠀⠀⠀⢻⣿⠒⠀⠀⠀⠀ ⠀⠀⠀⣸⣧⠔⢺⣧⢠⠟⠶⠶⠀⠉⠳⣄⠀⠠⣽⡭⢭⣿⡛⠢⢄⠀⠀⠀⠀⠈⣿⡆⠀⠀⠀⠀ ⣀⡴⠊⢹⣿⡚⠉⢸⠛⣇⠀⠀⠀⠀⠀⠈⠓⠢⠤⠜⠛⢧⡉⠒⢤⡙⢦⡀⠀⠘⢿⣶⠶⠀⠀⠀ ⠉⠀⣠⠚⢻⣧⣀⡏⠀⠘⠶⣤⣀⠀⠀⣀⣀⣠⣴⢀⠀⠀⠘⠂⠀⣰⣼⣾⠀⠀⠰⣿⡍⠓⠀⠀ ⠀⠰⠃⢀⣽⣗⠮⡁⠀⠀⠀⠀⠉⠁⠀⠛⠛⠋⠁⠀⠀⠀⣀⡠⠞⠋⠈⠁⠀⠀⠀⣹⣧⠤⠄⠀ ⠀⠀⠀⠀⣿⢏⠛⠙⠛⠒⠦⣤⣀⠀⠀⠀⠀⠤⠤⠖⠚⠋⣁⡄⠀⠀⠀⠀⠀⠀⠀⠸⢿⡀⠀⠀ ⠀⠀⠀⣸⠏⠈⠀⠀⠀⠀⠀⠀⠉⠓⠒⠒⠶⠶⠒⠒⠚⠉⠉⠀⠀⠀⠀⠀⠀⢦⣤⠤⠞⣿⠀⠀ ⠀⠀⢠⡟⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠂⠀⢻⡆⠀ ⠀⢀⣼⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀ ⠀⢸⣏⡼⠀⠀⠀⢰⠶⠤⠶⣆⠀⡶⠶⠶⣶⠀⢀⣤⠴⠞⠚⠲⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⣻⣨ ⠀⠈⠉⠀⠀⠀⠀⢸⠀⠀⠀⢻⣆⡇⠀⠀⣿⢀⡟⠁⠀⢰⢶⡆⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠐⠛ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢻⡇⠀⠀⣿⢸⡇⠀⠀⢸⢸⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡀⠀⠉⠀⠀⣿⢸⡇⠀⠀⢸⢸⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣷⡀⠀⠀⠀⣿⢸⡇⠀⠀⢸⢸⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡟⣧⠀⠀⠀⣿⠘⣇⠀⠀⠸⣾⠇⠀⠀⣼⢷⡶⠶⢾⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣦⣤⣴⡇⠸⣧⣤⣤⣿⠀⠙⠷⣤⣄⣀⣤⣴⠞⠋⠸⣷⣦⣿⠆⠀⠀⠀⠀

⠀⠈⠑⢿⣿⡿⠿⢿⣿⣷⠶⠶⠶⠶⠶⢶⣶⣦⣤⣤⣀⣀⠀⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⣀⢀⣀⣀⣤⣤⣶⣶⠶⠶⠶⠶⠶⠶⣿⣿⠿⠿⣿⣶⠖ ⠀⠀⠀⠀⠈⠻⢷⣄⠀⠙⠛⢶⣄⠀⠀⠀⠀⣠⣤⣾⠿⠟⠛⠛⠋⠉⠉⠉⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠛⠛⠿⢿⣦⣤⡀⠀⠀⠀⢀⣤⠞⠛⠁⢀⣤⠾⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣷⡄⠀⠀⠙⢳⣄⣶⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣦⣴⠟⠁⠀⠀⣴⡞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⣠⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⠀⠀⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣧⡄⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⢀⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣇⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⢀⣤⠴⣶⡿⢿⣿⣿⣿⣶⣶⣤⣤⣄⡀⠀⠚⠀⠀⠀⠘⠆⠀⣀⣤⣤⣴⣶⣶⣿⣿⣿⠿⣷⡶⠤⣄⡀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀⠀⠉⠀⠀⠹⣧⡀⠻⢿⣿⣿⠿⢃⣽⠟⠛⠳⠄⠀⠀⠀⠀⠴⠞⠟⢿⣌⠻⢿⣿⡿⠿⠃⣠⡿⠃⠀⠀⠉⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠈⣝⠲⢤⣤⡴⠖⠛⠁⠀⠀⠀⣠⣤⣤⣤⣤⡀⠀⠀⠀⢹⡛⠶⢤⡤⠴⠞⠉⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⠟⠉⠀⣀⣀⣠⡾⠟⠲⣼⡴⠚⢿⣆⣀⣀⣀⠈⠙⠿⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣆⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠶⠚⣋⠿⠃⣨⡷⠶⠿⠿⠿⠷⠶⣦⡀⠻⢯⣙⠲⠦⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣽⣆⣲⡀⠀⠀⠀⠀⠉⠀⣀⡴⠛⠁⡴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⡄⠉⠳⢤⡀⠈⠉⠀⠀⠀⠀⣠⢶⣾⡽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠓⢿⣶⣄⠀⠀⡠⠚⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⡄⠀⢀⣴⣾⠷⠋⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⠙⠷⢦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠈⠒⠉⠓⠾⠁⠀⠀⠀⠀⠀⠀⣀⣀⣤⠶⠟⢹⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠈⠉⠙⠛⠲⠶⠦⠤⠤⠤⠄⠀⢀⢀⡤⠤⠤⠶⠶⠚⠛⠉⠉⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⡶⠶⣦⣄⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣆⣤⡶⠶⣶⣦⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⠟⠉⠁⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⢿⣿⠀⠀⠀⠀⠈⠙⢿⣦⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⠇⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠹⣆⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡼⠁⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⢿⣷⠀⠀ ⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡇⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⣾⡾⠃⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀ ⠀⠀⠀⠀⠸⣿⡤⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀ ⠀⠀⠀⠀⠀⢹⣷⡀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⣰⣿⠁⠀⠀ ⠀⠀⠀⠀⣠⣾⠿⣿⣄⠀⣀⣀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⣀⡀⢀⣼⡿⠃⠀⠀⠀ ⠀⠀⣠⣾⣿⣥⢀⣨⣿⣿⠿⠿⣶⣆⠀⠀⠈⠙⠂⠀⠀⢀⣤⣴⣿⣇⣀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⢀⣠⣿⣷⣤⣄⠀⠀⠀⠘⠋⠀⠀⠀⣶⡾⠿⠿⣿⣏⣀⠀⠀⠀⠀ ⢠⣾⠿⣻⡏⣴⡿⣻⠋⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⢐⣴⡿⠋⣽⠟⠉⢙⡷⣄⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⡴⢿⠋⠙⢷⡍⠛⣷⣄⠀⠀⠀⠀⠀⠀⠈⠹⡄⠀⠈⢻⡿⣷⣄⠀⠀ ⠛⠁⢰⡿⠸⣿⣀⣟⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⣼⠃⠀⢠⠏⠀⠀⠀⠀⠀⢰⣿⣿⠀⠀⠀⠀⠀⠈⢷⡀⠀⢻⡄⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠈⣇⣸⡿⠀⠀ ⠀⠀⣿⢡⡆⠉⠻⠿⢶⣦⣼⣄⣀⣀⣀⣀⣀⣀⣀⣻⣇⢀⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⣸⡏⣿⡆⠀⠀⠀⠀⠀⢘⣇⠀⠘⣷⢀⣿⣃⣀⣀⣀⣀⣀⣀⣀⣼⣤⣶⠾⠿⠋⠁⠀⠀ ⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⣉⣩⣿⣿⣿⣿⣿⣶⣶⣿⣷⣶⣶⣶⣶⣶⣿⣇⣙⠛⠲⠶⠶⣶⡶⠾⠷⠖⠚⠛⠉⠁⠀⠈⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⡻⣷⣸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠛⠛⠛⠿⠿⠿⣦⣤⣤⣤⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠹⣯⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣭⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣝⢷⣄⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⣻⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣦⡀⠙⣷⣦⣄⡀⠀⠀⠢⣤⣤⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⣶⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡙⠳⣾⣿⣮⣉⡛⠳⢶⣶⣽⣿⣿⡯⣍⡉⠉⠉⠉⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⡿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⡆⠀⠙⢿⣿⡻⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠿⣻⡿⠛⠁⢀⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠙⢿⣦⡙⠿⣦⣄⠀⠀⢀⣀⣀⣀⣀⣀⣀⠀⠀⢀⣤⡾⠛⣡⡾⠋⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠙⢿⣤⣼⡿⠿⠛⠛⠉⠉⠉⠉⠉⠙⠛⠻⠿⣧⣤⣾⠏⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⢀⣠⡾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢷⣦⡀⠀⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠋⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠘⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠈⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⣄⣀⠀⠀⠀⠀⠀⠹⣷⡀⢺⡆⠀⠀⣿⠀⣰⡟⠀⠀⠀⠀⠀⢀⣀⡀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠉⢻⣿⠻⢷⣶⣶⣤⣍⠀⣼⡇⠀⠀⣿⠀⣽⣤⣴⣶⡶⠟⢻⡿⠋⠁⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠻⣦⣬⣡⣤⡾⢿⣧⣿⠀⠀⠀⢻⣆⡿⢿⣦⣄⣡⣴⡿⠃⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⣀⣀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⢀⣾⠃⠀⠀⠀⠈⢿⣄⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⢀⣀⣀⣀⠀ ⠉⠙⠛⠛⠛⠛⠛⠿⣷⣶⣤⣤⣀⠀⠀⠀⠀⢀⣴⡿⣷⣶⠶⠶⠶⢶⣮⠿⣷⡀⠀⠀⠀⠀⣀⣠⣤⣶⣾⡿⠟⠛⠛⠛⠛⠉⠋⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠉⠙⠛⠷⣶⣴⣿⠋⠀⠘⠻⣷⣄⣴⡿⠛⠀⠈⢻⣦⣴⡾⠟⠛⠉⠁⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⣀⣀⣠⣾⣋⣛⡟⠀⠀⣀⣨⣿⣯⣀⠀⠀⠘⢛⣙⣿⣦⣀⣀⣠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣤⡶⠾⠛⠛⠛⠿⣯⣽⣏⠉⠙⠀⣠⡾⠛⠉⠀⠈⠙⢿⣦⠀⠙⠉⢹⣿⣭⡿⠛⠛⠛⠿⢶⣦⣄⣀⠀⠀⠀⠀⠀ ⠀⠀⠰⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠈⠙⠻⠷⢶⠶⣿⣅⣀⠀⠀⠀⢀⣠⣿⠷⣶⠶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⡀⠀⠀⠀⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠄⠀⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⣧⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⣀⣠⣤⣾⣿⣀⣄⣀⣦⡀⣠⣤⣀⣄⣰⣷⣦⣤⣀⡀⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀ ⠀⠀⠀⣧⠀⠀⠀⠀⠀⣀⣠⣾⡿⠿⠛⠉⠀⠀⠈⠉⠛⠛⠉⠛⢻⠟⠋⠉⠛⠋⠉⠀⠀⠈⠙⠻⠿⣿⣶⢀⡀⠀⠀⠀⠀⢠⡇⠀⠀ ⠀⠀⠀⣿⣦⠀⣀⣤⣼⡿⣟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢻⡿⣿⣤⣄⠀⢠⣾⡇⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⡯⠛⠁⠈⠀⠀⠀⠀⠀⠀⠀⢠⣦⠆⢀⣤⡞⢀⠘⣧⣄⠀⢧⣦⠀⠀⠀⠀⠀⠀⠀⠈⠀⠙⠋⢿⣿⣿⣿⠁⠀⠀ ⠀⠀⠀⢸⣿⣿⡜⠃⠀⠀⠀⠀⠀⠀⠀⢀⣦⡐⣾⣿⣴⣿⡿⠁⣼⡄⠸⣿⣷⣼⣿⡖⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠚⣽⣿⣿⠀⠀⠀ ⠀⠀⠀⠈⣿⣿⡙⠀⠀⠀⣀⠀⢀⣀⣀⣸⣿⣿⣿⣿⣿⣿⡇⢠⠟⢷⠀⣿⣿⣿⣿⣿⣿⣿⣀⣀⣀⠀⢀⣠⠀⠀⠀⢹⣿⡿⠀⠀⠀ ⠀⠀⠀⠀⣿⠋⠀⠀⠀⠀⢹⣿⡿⠟⠛⢛⠻⢿⣿⣿⣿⣿⠁⠀⠀⠀⠀⢹⣿⣿⣿⣿⠿⢿⠛⠛⠿⣿⣿⠁⠀⠀⠀⠈⢻⣇⠀⠀⠀ ⠀⠀⠀⢸⠇⠀⠀⠀⣠⣶⣿⣿⣧⡀⠀⢸⠀⠀⣿⣿⣿⣷⠂⠀⠀⠀⠀⠰⣿⣿⣿⡏⠀⢸⠀⠀⣠⣿⣿⣷⣦⡄⠀⠀⠀⢿⠀⠀⠀ ⠀⠀⠀⡾⠀⠀⠰⠺⢿⣿⣿⣿⣿⣿⣦⣌⣀⣴⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠹⣿⣿⣷⣄⣈⣤⣶⣿⣿⣿⣿⣿⠿⠒⠀⠀⠘⣇⠀⠀ ⠀⠀⢸⠃⠀⢀⠆⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣴⣶⣶⣄⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢦⠀⠀⢻⡀⠀ ⠀⠀⡿⠀⠀⡼⠀⠀⠚⢿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠉⠽⣿⡿⠍⠁⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠸⣄⠀⠘⡇⠀ ⠀⢠⡇⠀⠈⣷⠀⠀⠀⢴⡟⢻⣿⣿⣿⣿⡍⠀⠀⠀⠀⠀⢀⣀⣼⣧⣀⠀⠀⠀⠀⠀⠈⣽⣿⣿⣿⣿⠛⣷⠄⠀⠀⢰⡏⠀⠀⣷⠀ ⠀⢸⠃⠀⡾⠃⠀⢀⣤⠞⠋⠀⠈⠉⢉⣿⠄⠀⠀⠀⢀⡴⠋⠁⠀⠀⠈⠓⢦⡀⠀⠀⠀⠸⣏⠉⠉⠀⠀⠙⢶⣄⠀⠀⢻⡆⠀⢻⠀ ⢀⡾⠀⠀⠸⡄⠀⠉⣿⠀⢀⠀⠀⠀⠈⢹⠆⠀⠀⣴⢋⣴⣾⣠⡼⣦⣸⣾⣄⠳⡄⠀⠀⢾⠉⠀⠀⠀⢀⣀⢸⡏⠁⠀⡸⠁⠀⠸⣇ ⠘⢧⡀⠀⠀⠀⠀⠘⠉⠹⠛⣷⡖⠈⠛⠛⠒⣶⡶⠁⠈⠻⢻⠏⠀⠈⢻⠿⠏⠀⠹⣾⡖⠚⠛⠋⠀⣶⣿⠻⠋⠙⠀⠀⠀⠀⠀⣠⠟ ⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠀ ⠀⠀⠀⠈⠉⠓⠒⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠒⠋⠉⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠶⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢁⣤⣤⡀⢳⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣽⣮⣕⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢋⣴⣿⣿⣿⡇⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⢿⣿⣷⣷⠤⠤⠖⠚⠋⠉⠉⠉⠛⠲⠴⠋⢠⣾⣿⣿⣿⣿⠇⡼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢫⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⣿⡿⢰⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣇⣀⣀⠀⠀⡄⠀⡇⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠘⠃⡞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⠟⡟⢿⣿⡇⠀⣷⣶⣿⠟⢩⠉⢻⣿⡏⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡞⠹⣦⣧⣾⡿⣁⡀⢸⣿⣿⣦⣼⣵⣾⠟⠁⢀⠄⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠲⢼⢽⣳⣤⡼⠙⢢⡼⠃⠀⠙⢯⡉⠉⣉⣠⠤⠚⠁⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣐⣾⣒⣺⠋⢀⡴⠊⠉⠳⣄⠀⠈⢙⣏⠶⠤⢄⣀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀ ⠀⠀⠈⢩⣿⡿⠟⠓⢦⠀⠀⠀⠀⠈⢃⠽⣟⢿⡯⡑⠢⣄⠉⠓⢄⡀⠀⠀⠀⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢹⡀⠀⠀⠀⠳⠤⠤⠤⠖⠋⠀⠋⡆⠙⢎⠆⠈⠳⡄⠀⠙⠀⠀⠀⢹⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠀⠀⢳⠀⠀⠹⠆⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣇⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀ ⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀ ⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀ ⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀ ⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀ ⠸⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠤⠤⠼⠷

⠀⠀⢠⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⡄⠀⠀ ⠀⠀⢸⣧⣤⠀⠉⠛⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠞⠛⠁⢀⣸⠇⠀⠀ ⠀⠀⠀⠙⣿⢷⣀⠀⠀⠀⠉⠛⢦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠚⠉⠁⠀⠀⢀⣴⣻⠏⠀⠀⠀ ⠀⠀⠀⠀⠈⢷⡙⢷⣄⠀⠀⠀⠀⠀⠙⠓⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠖⠋⠁⠀⠀⠀⠀⢀⣴⠛⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠛⣦⡙⢧⡀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣤⣀⣠⣤⡤⠶⠒⠚⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠒⠲⠦⢤⣤⣀⣠⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⣠⠞⣠⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣌⠻⣦⠀⠀⠀⠀⠀⢀⣀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢁⡾⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣌⢳⣄⠀⠀⣤⣈⣯⠛⠟⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⣤⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢃⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⠽⣆⠀⢻⣙⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⣶⡿⠉⢳⣿⡿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠟⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣇⠀⢾⣶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠙⠀⠀⠀⠙⠈⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡈⣻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⣡⣀⣟⣶⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⣻⣇⣀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⢹⣿⣙⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢉⣻⡟⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠘⢯⡙⠀⠀⠀⠿⡶⢤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⣰⠀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⢶⡾⠁⠀⠀⢈⣽⠟⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠈⠁⠀⠀⠀⠀⢿⡀⠈⠙⣿⠲⠶⣤⡀⠀⠀⠀⣿⠀⠀⠀⢿⠀⠀⠀⢀⣤⠴⠖⣿⡏⠁⠀⣾⠃⠀⠀⠀⠀⠉⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⡀⠀⠀⠈⠻⢦⣄⣈⣀⣤⡼⠛⠀⠀⠀⡿⠀⠀⠀⢸⣆⠀⠀⠘⠷⣤⣄⣀⣠⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠻⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠃⠀⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡷⠃⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠈⠛⢦⣄⠀⠀⠀⠀⠀⢀⣤⠞⠋⠀⢀⣀⣀⣀⡀⠀⠈⠻⢦⡄⠀⠀⠀⠀⠀⣀⣤⠟⠉⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠳⢤⣤⡶⠋⠀⠀⠀⢿⣯⣥⣶⣨⣽⣿⠆⠀⠀⠘⠳⣤⣤⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣼⣯⣝⢳⠂⠀⠀⠀⠀⠙⣿⡭⠁⠀⠀⠀⠀⢚⢻⣯⣷⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⣀⣤⠖⠛⠉⠀⠀⠀⣀⣿⡤⠴⠾⠂⠀⣀⣤⠞⠛⠛⠛⠳⢦⣄⠀⠀⠺⠦⢤⣿⣅⡀⠀⠀⠉⠛⠳⢦⣄⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⢀⣴⠞⠁⠀⠀⠀⢀⣠⠴⠛⠉⠸⣧⡀⠀⢠⡾⠋⠀⠛⠛⠛⠛⠛⠂⠈⠳⣄⠀⠀⣰⠏⠈⠙⠳⢦⡀⠀⠀⠀⠈⠛⢦⡄⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠈⠛⠷⠬⣤⣄⣀⡀⠀⠀⠀⠀⣀⣀⣤⡾⠴⠞⠁⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀ ⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀ ⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀ ⢠⡞⠀⠀⠀⢠⢠⣀⢤⢠⢠⢀⢠⣠⠀⢀⣀⣀⠀⢄⠀⣤⡀⣀⡀⣠⣄⣀⣀⣀⠀⣀⣀⣠⣤⢠⢄⣀⡀⣀⢠⣀⣀⢀⡀⣀⢤⢠⣤⢠⡤⠄⢀⡠⠄⡀⣀⣀⣀⠀⠀⠀⠀⠹⡆ ⡞⠀⠀⠀⠀⠈⢟⠟⠘⠟⢏⡸⣿⠇⠀⠸⠏⠸⠤⠸⠀⡝⠞⠛⠛⡧⠌⠳⠟⡻⠄⠳⢾⠹⠙⠸⠞⠟⡇⠱⢾⠸⠉⠛⢻⠙⠼⡙⠏⠩⠽⠀⠘⠳⠀⠳⠏⠏⠉⠀⠀⠀⠀⠀⢹

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣛⠿⣷⣦⣀⣀⡴⠶⠛⠛⠉⠉⠉⠉⠙⠛⠶⢦⣄⣴⣾⡿⣯⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣷⣶⣨⠿⠛⠉⠀⠀⢀⡀⠀⠀⠀⢠⣤⣄⠀⠀⠉⠛⢿⣇⣾⣿⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣟⣡⣶⣶⣶⣾⣿⣿⣿⣧⢸⡄⣿⢿⣿⣷⣤⣀⠀⠀⠈⠻⣏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡿⢸⡇⢻⣼⣿⣿⣿⣿⣿⣿⣷⣤⡈⠳⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠿⠓⠒⣾⣾⣶⠟⠻⣿⣇⡏⢹⣸⣿⣿⠯⣿⣾⣷⣶⡞⠛⣿⣶⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣷⠀⠀⢶⣿⣿⡟⠀⢠⣿⠈⠀⠀⠙⢿⣄⠀⢶⣿⣿⡿⠁⣠⣿⣿⣿⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⣦⣄⣻⣫⣤⣾⡿⠃⣤⣒⢒⣦⡌⠻⢷⣤⣽⣿⣥⣾⣿⣿⣿⣿⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡴⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣠⡀⢉⣽⣾⣉⠳⣴⣒⠛⢿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡞⠁⠈⢿⣿⣿⣿⣿⣿⣿⣿⠄⢒⢶⡶⠋⠁⠀⠈⠱⡌⠻⡁⠺⣿⣿⣿⣿⡿⢏⡀⠀⠀⠀ ⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠙⠛⢿⣿⣿⣿⢟⡴⠉⠘⠁⠀⠀⠀⠀⠀⠘⠀⠘⣆⣿⡿⠿⡋⠀⠀⠙⢦⡀⠀ ⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⣰⠋⡞⠁⠉⡟⠳⠶⢤⣄⣀⣀⣀⣤⡤⠶⣿⠋⠉⢆⠀⠀⠙⢦⠀⠀⠀⠱⣄ ⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⣰⠇⣼⠁⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠈⢧⠀⠀⠈⢳⡀⠀⠀⠀ ⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠉⠈⠁⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠈⠀⠀⠀⠀⠙⠀⠀⠀ ⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠀⠀⠀⣴⠖⠛⠛⠓⠲⣼⡀⠀⠀⠀⠰⣤⣤⡴⠋⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⡆⠀⡼⠁⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⡇⢸⡇⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣷⠰⠇⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⣿⠸⡇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⢿⠀⡇⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⣀⣀⣸⣇⠀⠀⠀⠘⣆⣧⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣴⣶⣾⣿⣄⠀⠀⠀⠚⠉⣍⢉⣿⡀⠠⡀⢀⣿⣽⠀⠀⠀⣼⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⣿⡿⠋⠙⠳⠶⠶⠶⣤⡽⠧⠧⠿⣄⣽⣠⡿⠿⢷⣸⣧⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣿⣿⣷⣄⣀⡀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠻⠿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣰⣄⡀⣠⣀⣀⣀⣀⣀⣀⣀⣀⣀⣄⠀⢀⣀⣀⣀⣀⠀⠀⠀⡄⣤⡠⢤⢠⡤⢤⢠⢀⢤⢠⢀⣤⠀⠀⠀ ⠘⠛⠛⠓⠛⠃⠚⠒⠑⠚⠛⠚⠛⠓⠛⠒⠛⠚⠚⠃⡛⠁⠀⠀⠓⠒⠛⠓⠒⠓⠃⠘⠚⠚⠘⠂⠋⠀⠀⠀

⠀⣠⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣴⣶⣄⣀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⠇⠈⣾⡜⣿⡌⣇⢰⡇⢠⣷⣄⡄⢀⣤⣄⣏⠀⠀⣻⣛⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⣻⣿⣿⣿⣿⠿⣝⢏⠋⣿⡄⣶⣿⣿⣻⣧⣿⣿⣧⣾⣿⣿⣿⣿⣿⣯⣿⢸⣿⡏⢭⢇⣽⢿⣿⣿⣿⣿⡥⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡝⠻⢿⠿⡝⢳⣄⣸⢦⢿⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣷⡟⣿⣯⠀⣩⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣽⣿⢶⣶⡊⣀⢻⡿⣿⣿⣿⣿⣻⣿⣿⢻⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⢾⡵⢋⠰⠛⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠜⠉⠉⣻⡿⢫⣻⣷⣿⣿⢿⣿⡿⣿⣿⣿⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⢿⠟⣿⡟⢸⣧⣿⢟⣵⣿⠾⢏⣀⣀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⡾⣣⣴⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡏⣸⣿⣿⣿⣿⣿⣿⣯⣿⡿⠿⠿⡭⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⡿⣽⣻⣷⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⣠⠽⣋⣿⣿⣿⣿⣿⣿⣿⣶⣿⢿⣾⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⡇⢰⣿⣿⣿⣿⣿⣿⣿⣽⡏⠛⢻⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣿⣿⣿⣿⣿⢿⣿⠗⠛⣺⣿⣿⣿⣾⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣧⠙⢹⣿⣿⣿⣿⣿⣿⣿⣿⣦⣈⡙⠋⢀⣠⣿⣿⣿⣿⣿⡇⠀⠀⠀⢼⣿⣿⣿⣯⠀⠘⢿⠆⢀⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣙⢿⣄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣯⣟⣯⣽⣿⣿⣿⣿⠟⠂⠀⠀⠀⠀⠛⣿⣿⣾⣷⣶⡶⣶⣿⣷⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⡿⣭⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣇⡈⠙⢿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⠛⠉⠑⠲⣤⣄⠀⣀⣤⣴⠆⠈⠻⣿⣿⣿⣿⣿⣿⣏⣻⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡇⢽⣓⠶⣬⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⡉⠁⠁⠀⠀⠀⠀⠀⠘⢳⠞⠃⠀⠀⠀⠀⠈⠻⢯⡛⠛⠛⠛⠋⠁⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⠃⠀⠈⠩⣓⣶⠾⢿⣿⣏⣭⣭⣭⣿⠟⠀⠀⠀⠀⠀⠀⢀⣠⠶⠋⠓⢦⣄⠀⠀⠀⠀⠀⠐⣟⣿⡯⠭⣝⣛⡿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣼⡿⠛⢋⣽⣿⠟⠀⠀⠀⢀⡤⠖⠋⠀⠀⠀⠀⠀⠈⢷⡄⠀⢀⠀⠸⢦⣀⢉⡙⠛⡦⠟⠁⠀⠀⢄⡀⠀⠀⠀⠀⠀ ⠀⠃⠀⠂⠀⠀⠀⠀⢀⠉⠠⠤⠞⠉⠋⠁⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢀⢈⢧⠳⣳⣌⠙⠻⠟⠃⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠞⠸⠷⠀⠈⠀⠀⠀⠀⠀⠀⠀⠠⣀⠀⠈⢑⣆⠀⠀ ⠀⠀⠀⠀⠀⣠⡶⠀⠀⢠⠎⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢢⡈⠳⣦⠀⠙⠷⣄ ⠀⠀⠀⣠⡾⠁⠀⢀⡴⠋⠀⡴⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢢⡀⠙⠲⣌⠲⣌⡳⡾⢿⣄ ⠀⠀⠀⠀⠀⠀⣠⢏⠀⠀⡴⠀⠀⠀⠀⠀⠀⠄⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠢⣄⠉⠲⣄⠙⢦⡀⢘⣧⡙⣷⡀⠑⠌ ⠀⠀⠀⠀⠀⠚⣡⣁⣀⣾⡁⠀⠀⠀⠀⠀⠀⠀⢀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠦⢄⡀⠈⠑⢦⣜⣿⣌⣻⡾⢽⣻⣎⣗⠀⠀ ⠀⠀⠀⠀⠀⣼⣿⣿⣿⣷⣧⣤⡄⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢳⣶⣦⣧⡙⢯⡉⢳⣬⣿⡟⠙⠃⠀ ⠀⠀⠀⠀⢸⠽⢿⣿⣿⣿⣾⣿⣡⣴⣤⣄⠀⠉⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢮⡻⣶⣽⣾⣿⡉⠁⠀⠀⠀ ⠀⠀⠀⢀⣤⠀⠀⠀⠉⠛⠻⣿⣿⣿⣿⣋⣀⡤⠀⢰⠀⣀⣦⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⡟⠉⠀⠀⠀⠀⠀ ⠀⢀⣠⠚⠀⠀⠀⠀⠀⣀⡀⠉⠛⠿⡿⢿⣥⣀⡀⣻⡞⠋⠠⠀⠀⠀⠀⠀⠀⠀⠀⢶⣶⣦⡀⠀⢠⣤⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠉⠳⡜⣦⡄⢸⣮⣿⡿⠋⠀⠀⠀⠀⠤⣄⠀⠀⠀⠀⠀⠀⠙⢿⣿⣶⣼⣿⣿⡿⠷⠤⣤⣤⣄⣠⣄⣀⣀⣀⠀⠀⠀ ⡏⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⢁⣨⠷⠛⠋⠉⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢧⡀⠀⠀⠀⠀⠀⠙⣣⣠⡴⠖⠉⠀⠀⠀⠀⠀⠈⡆⠚⠁⠀⠀⠀⠀⠀⠀⠀⣾⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠛⠛⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣦⣤⠆⠀⣠⡼⠀⠀⠀⣿⡴⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠚⠛⠓⠒⠛⠋⢁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⢠⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣄⠀⠀⠀ ⠀⠀⠀⢸⣤⡀⠉⠙⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠞⠉⠁⡤⡾⠀⠀⠀ ⠀⠀⠀⠀⢻⡿⣄⠀⠀⠀⠈⠙⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠚⠉⠀⠀⠀⣠⣾⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣮⠳⣄⠀⠀⠀⠀⠀⠉⠓⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⠋⠁⠀⠀⠀⠀⣠⡾⢣⡞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢷⡈⠳⣄⠀⠀⠀⠀⠀⠀⠈⠙⠲⣤⣤⠤⠖⠒⠒⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠛⠓⠒⠲⠦⢤⣤⠴⠛⠉⠀⠀⠀⠀⠀⠀⢀⡴⢋⡴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡝⢷⡀⠀⠀⠀⠀⢠⣄⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣧⠿⣆⠀⠀⣤⣼⡇⠙⠁⠀⠀⠀⠀⠀⠀⠀⢰⡀⢠⣦⡀⢀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣡⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠟⠇⢀⣹⡎⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⠟⢿⡟⠁⠻⡾⣻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠻⣯⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠁⠀⠀⠁⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣠⡄⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⢷⡦⢿⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠾⣧⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⢸⣿⠾⠀⠀⠀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡄⠀⠀⢸⣿⡯⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠰⢸⠀⠀⠛⠃⠀⠀⠀⢸⣏⠙⠒⣶⣤⣄⡀⠀⠀⠀⠀⢸⠁⠀⠀⣿⠀⠀⠀⠀⠀⣀⣤⣴⠖⠛⢉⡟⠃⠀⠀⠐⠛⠁⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠆⠀⠀⠀⠻⣆⡀⠘⠃⠈⣙⣷⠄⠀⠀⣸⠀⠀⠀⢻⠀⠀⠀⣶⣏⠉⠈⠛⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠈⢦⡀⠀⠀⠈⠙⠓⠒⠚⠉⠀⠀⠀⣠⡟⠀⠀⠀⠸⣧⡀⠀⠀⠉⠙⠒⠒⠛⠁⠀⠀⠀⣤⡔⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠈⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⠀⠀⠀⠀⠀⠈⠳⣤⡀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠋⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠉⠻⠦⣄⡀⣀⡴⠛⠁⠀⣰⢾⡛⣛⢛⣳⣦⡄⠀⠙⠳⣄⢀⣀⡤⠞⠋⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣿⠛⠶⣤⠀⠀⠈⠉⠻⣿⠹⠛⠉⠀⠀⠠⡴⠾⢻⣅⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⣠⡴⠖⠛⠉⠉⠉⢹⣏⣽⣷⡦⠀⠀⣀⣴⠖⠛⠳⢦⣄⡀⠀⠠⣧⣭⣍⣟⠉⠉⠉⠙⠒⠦⣄⡀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⣠⡴⠋⠁⠀⠀⠀⣠⠴⠚⠉⢻⡄⠀⠀⣠⠞⠉⠴⠒⠒⠒⠲⠈⠙⢦⡀⠀⠀⣼⠋⠙⠲⣤⡀⠀⠀⠀⠙⠳⣤⡀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠙⠦⠤⣧⣀⡀⠀⠀⠀⠀⠀⠀⣀⣨⡷⠤⠞⠁⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠈⠙⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀ ⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠓⠒⠒⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀ ⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀ ⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀ ⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇

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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠱⣶⣍⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣷⣄⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣡⣾⡟⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⣤⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢉⣴⣿⡿⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣶⣽⣿⣿⠿⠿⠿⣿⣿⣿⠿⣿⢿⣿⣿⣿⡿⠟⠋⠠⣶⣿⣿⣿⠇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣼⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠙⢿⣄⣤⣸⣿⣿⣿⣿⡟⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣼⣿⡏⠛⢿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣿⣿⡿⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢹⣿⣷⠀⠀⠈⠀⠀⠀⣀⠀⣰⣶⣄⣾⠀⣤⠀⣠⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣾⠛⠛⠀⠀⢠⣠⣶⣾⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣷⣼⣧⣄⠀⠈⠙⠻⣿⣿⣷⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣷⠄⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⢀⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠾⣿⣇⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠹⣿⡆⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢸⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣿⣿⣿⣿⣿⣿⡄⠀⢿⠟⠻⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⣿⠿⣿⡿⠛⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣤⣿⣿⡿⠃⠀⠀⠀⣹⣿⣿⣷⣄⡀⢁⣠⣾⣿⣿⣿⣿⣿⣿⣿⢿⠙⣿⣿⣿⣿⣿⣿⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠗⠀⠀⠀⠀⠀⢙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠚⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠿⠂⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⣀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢸⣿⣿⣿⣿⣿⣿⡄⠀⠀⢸⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠙⠛⢷⣶⠟⠋⠁⠈⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠘⣿⣿⣿⣿⡟⠉⠁⠀⠀⠀⠀⠈⠉⠛⢿⣿ ⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣥⡄⠀⠀⠀⠀⣀⣴⠾⠷⣦⡀⠀⠀⠀⠀⠼⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿ ⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣥⠀⠀⢀⡶⠋⠀⠀⠀⠈⠳⡄⠀⠀⠀⣹⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⣼⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿ ⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡗⠋⠀⠀⠀⠀⠀⠀⠀⢹⣆⣤⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿ ⣿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⢶⣶⣶⣿⣷⣶⣶⡿⠿⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿ ⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⡴⠶⣆⠠⠤⣤⠤⠤⠤⠤⠤⠤⠀⠤⣔⠒⢀⡨⠛⢵⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠀⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡄⡠⠃⠀⠀⠀⠀⠈⠆⠀⠀⠂⠀⠀⠀⠀⠀⠀⠱⣸⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢧⢀⣀⣀⣀⣒⣀⣀⡲⠀⠀⣂⣀⣀⣒⣂⣀⣀⡀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⢫⣍⡻⢟⣉⠽⠳⣖⣲⠞⠫⣁⡛⢋⣠⠜⠁⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠉⠋⠁⠀⢀⡡⠚⠓⢄⡀⠀⠀⠁⠁⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀⢄⠏⠀⠐⠀⠀⠸⠂⡄⠀⠀⠀⠀⡼⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠑⢄⠀⠀⠀⠁⠀⠀⠀⠀⠀⠁⠀⠀⠀⡴⠋⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠑⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⡷⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠊⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠈⢆ ⠀⢀⠤⠐⠒⠉⠉⡇⡠⠤⣇⠀⠀⠀⠀⠀⡿⠀⠀⠀⢻⠀⠀⠀⠀⢰⡡⠒⢄⡸ ⡰⠁⠀⣀⣄⣀⡀⢹⣱⡞⡜⡄⠀⠀⠀⠀⡇⠁⠀⠊⢠⠀⠀⠀⢀⠏⠰⡲⣮⣷ ⢇⠀⠀⠀⠀⠈⢹⠉⠚⠒⢣⠼⣀⠀⠀⠀⡐⠉⠉⠉⠹⡀⠀⠀⡀⢯⣳⠊⠀⠀ ⠈⠢⢀⣀⣀⠤⠃⠀⠀⠀⠳⠧⠄⠬⠤⠔⠁⠀⠀⠀⠀⠑⠂⠀⠓⠊⠀⠀⠀⠀

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╱|、 (˚ˎ 。7 |、˜〵 じしˍ,)ノ i love you 😘

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