Taste Receptor Emojis & Text

Copy & Paste Taste Receptor Emojis & Symbols CAPYBORABORA🦛🦛🦛

Related Text & Emojis

‧₊˚ ☁️⋅♡𓂃 ࣪ ִֶָ☾..° ༘🎧⋆🖇₊˚ෆ☆
✮⁺˚⋆。°✩₊✧˖°.*ੈ✩‧₊˚☾⋆。𖦹 °✩☾𖤓𖦹
✩°。⋆⸜ 🎧。・:*˚:✧。
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!!(。˃ ᵕ ˂ )⸝♡⸜(。˃ ᵕ ˂ )⸝♡⸜(。˃ ᵕ ˂ )⸝♡ -ky :3, Fairess <3ﮩ٨ـﮩﮩ٨ـ♡ﮩ٨ـﮩﮩ٨ـﮩ٨ـﮩﮩ٨ـ♡ﮩ٨ـﮩﮩ٨ـ꒰。 › ·̮ ‹ 。꒱
🍡☕🙏🏻🤍
˳·˖✶𓆩𓁺𓆪✶˖·˳. ⤷ if you have seen this you are protected from all share/reblog/repost chainmail no matter the threat you do not need to share for its effect but you can to protect others if you desire happy scrolling! ⋆⭒˚。⋆.𖥔 ݁ ˖.‎♡‧₊˚٠ ࣪⭑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⠶⠶⠟⠛⠛⠛⠛⠛⠛⠻⠿⢶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣶⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠛⢻⣆⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣧⡀⠀⠉⠓⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⣸⡿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣆⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀ ⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⣠⣿⡇⢸⣇⠀⠀⠀⠀⠘⢦⠀⠘⣄⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠙⣷⡀⠀⠀ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣦⣶⣏⡾⣠⣿⣁⡄⠀⠀⠀⠀⠈⢳⡀⠸⡆⢦⠀⠀⠀⠈⢣⡀⠀⠀⠀⠈⢿⡄⠀ ⠀⠀⠀⢸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡇⠻⢿⣿⣿⡾⠋⠉⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⡇⠘⣇⠀⠀⠀⠀⠱⡄⠀⠀⠀⠘⣿⡄ ⣀⣤⣤⠞⠉⠉⠛⠒⠶⠤⣄⠀⠀⠀⠀⠀⠸⠿⠶⢺⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⡇⢠⡟⠀⠀⠀⠀⠀⠘⣆⠀⠀⣠⣿⣷ ⡇⠀⠁⠀⠀⠀⠀⠀⠀⠀⢤⠒⠒⣦⠀⠀⠀⠀⠀⠃⠀⡠⣴⢞⠋⣿⣏⠉⠀⠀⠀⠀⢰⠇⡸⠁⡼⠁⠀⠀⠀⠀⠀⠀⢸⣿⠛⠉⠉⠉ ⠙⣦⠤⣤⣀⣀⠀⠀⠀⠀⠀⠹⣅⡾⠀⠀⠀⠀⠀⠀⣠⠖⠁⢸⠑⠃⠈⠀⠀⠀⠀⠠⠋⠐⠁⡰⠁⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀ ⠀⠈⢢⣀⢶⠈⢉⡙⠓⠶⢤⣄⣀⣀⣀⣀⣀⡤⠖⢋⠀⢀⡟⠞⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⡮⠙⢦⡀⠀⠀⠈⣿⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠳⠋⠈⠢⣤⠞⢄⡈⣽⣍⢁⡶⢄⢀⡏⠑⠞⠀⠀⠀⣀⣤⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⢳⡄⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠻⣶⠤⢭⣤⣤⠤⠶⠖⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠿⠚⠀⠀⣇⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣄⠀⠀⢠⠞⠛⠳⢄⠀⠀⠀⠀⠀⠀⠀⣠⠔⠋⠁⠀⠀⠀⠀⢀⡇⠀⠀⢸⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣏⠛⢶⡏⠀⠀⠀⠀⠑⣄⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠈⠀⠀⠀⢀⡤⠤⢬⣆⠀⠀⠀⣼⠀⠀⠀⠀⢀⣠⡴⠟⠉⠀⠀⠀⣾⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⣰⠻⣧⠀⠀⠈⠀⠀⠀⣿⠀⠀⣠⠶⠋⠁⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡾⠁⠀⠈⢧⡀⠀⠀⠀⠀⢻⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣴⣶⠶⠶⢶⣶⣶⣶⣤⣤⣄⣀⠀⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⢶⣄⡀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠷⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢦⣀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⢀⡤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣤⠴⠚⠉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠖⠢⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠣⡀⠀⣀⠇⠀⠀⠀⢦⡄⣀⠀⠀⣀⡀⠤⠤⠄⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠎⠀⢀⠤⡀⠀⠈⢒⢥⡫⡳⢄⠀⠀⠀⠀⠀⠀⠈⠐⠠⡀⠀⠀ ⠀⠀⠀⠀⠢⠈⠀⡇⠀⡰⠁⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⣠⣤⡀⠀⠀⠀⠀⣤⣤⡀⠀⠀⠀⠀⠀⠈⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⢾⣩⣿⡿⠁⠀⠀⠀⠸⣿⣿⣗⠒⡄⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⡿⡺⠀⣦⠀⢀⡆⠸⡹⣿⣿⡸⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣣⠈⠀⠀⠈⠉⠉⠀⠀⠁⠚⠛⠁⠀⠀⠀⢠⠀ ⠀⠀⠀⠀⠀⠀⠀⡔⠁⢀⠦⡠⠊⠉⠉⠒⠄⠀⠀⠀⠄⠀⠀⠐⠢⡌⠀ ⠀⠀⠀⠀⠀⠀⡄⢈⡉⠁⠀⢱⡄⠀⠀⠀⢸⠀⠀⠀⠈⠢⡀⠀⠀⠘⠄ ⠀⠀⠀⠀⠀⠀⢠⠀⠈⠢⡀⡀⡅⠀⠀⢀⠌⠀⠀⠀⠀⢀⠜⠁⠒⠊⠁ ⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠁⠧⠤⠒⠁⠀⠀⠀⡠⠐⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠨⡊⠀⠀⠀⠀⡀⠤⠄⠐⠒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⣠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⠔⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⠶⠶⠶⠛⠛⠛⠛⠛⠿⠷⠶⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⠿⠋⠉⠀⠀⠀⠉⠙⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠉⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠏⠁⢀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣷⣀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠐⠾⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠃⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⢸⠃⠀⣸⣶⣶⣄⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⣿⠃⠀⢰⠏⠀⢀⣠⣴⣶⣶⣄⠀⠀⠀⠀⠀⠀⢿⣆⠀⠀⠀⠀⢸⠀⠀⣿⠿⣿⣿⣧⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⡿⠀⠀⣼⠀⢠⡿⠿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⢸⡀⠀⣇⠀⢹⣿⣿⡎⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢸⡇⠀⠀⠀⠀⣿⠁⠀⠈⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⣿⡀⠀⠀⠀⢸⡇⠀⣿⣦⣾⣿⣿⡇⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⣾⠀⠀⠀⠀⠀⣿⠀⠀⢀⣿⣿⣿⣿⡇⣿⡆⠀⠀⠀⢸⡇⠀⠀⠀⠀⣿⠀⢿⣿⣿⣿⣿⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⣿⠀⠀⠀⠀⠀⣿⣷⣶⣾⣿⣿⣿⣿⡟⣿⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠸⡆⠘⣿⣿⣟⡿⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢻⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⠁⡟⢻⠀⠀⠀⠸⣿⣀⣀⣠⣤⠴⠿⠶⠿⠿⠿⠶⠿⠾⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣤⣄⣀⡀⢸⡇⠀⠸⡆⠀⠀⠀⠀⠘⣿⣿⠿⠿⠿⠟⢁⡾⠁⣾⠀⢀⣠⠾⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠉⠀⢀⣈⠉⠛⠿⢿⣷⣀⠀⠻⣄⠀⠀⠀⠀⠙⢿⣗⠶⠶⠖⠋⠀⣰⠏⣰⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠉⠙⠲⢶⣤⣉⠻⢷⣤⣈⠳⣄⡀⠀⠀⠀⠙⠳⠶⠦⠶⠾⠉⢠⡏⠀⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣧⡀⠀⠀⠀⠀⠀⠈⠛⢷⣦⠉⠻⣷⡮⣝⠶⣤⣀⡀⠀⠀⠀⠀⠀⢀⣸⠀⠀⢿⣿⣿⣶⣶⣦⣤⣤⣤⣶⣶⠟⢁⣴⠞⣻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠈⢷⡈⠳⣄⡈⠉⠛⠲⠶⠾⠿⠛⠛⣇⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣾⢁⣴⡏⠀⠀⢀⣀⣀⣤⣤⠴⠶⠶⠶⠶⠶ ⠀⠀⠀⠀⠀⠀⠀⠈⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⢻⡄⠈⠙⠶⣄⠀⠀⠀⠀⠀⠀⠹⡀⠀⠹⣏⠉⠉⠻⣿⣿⣿⣿⠇⢠⡿⠛⠉⣷⣶⠾⠟⠉⠉⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠉⠙⠶⠶⢤⣤⣀⣀⣿⣄⠀⠹⣆⠀⠀⠘⣿⣿⠟⠀⡾⠁⠀⠀⢿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣆⠀⠈⠳⢤⣠⣿⠏⠀⣾⠁⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇ ⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣈⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢦⣀⠀⠀⠀⣠⡾⠁⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀ ⠀⠀⠀⠀⠀⠀⣿⠋⠉⠉⠉⠉⠻⣧⠀⠀⠀⠀⠀⠀⠀⣠⠾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠶⠟⠋⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⡆⢠⡄⠀⠀⠀⠘⠳⣦⣄⣀⡤⠶⠛⠁⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣧⡿⠿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣠⣾⠇⠀⠀⠀⠀ ⠀⠀⣰⡶⣶⣄⡀⣸⠁⠀⠙⣷⡄⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⣿⠁⠀⠉⠻⡟⠀⠀⠀⠈⢻⣄⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣧⣀⣤⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⠀⠀⠀⠀⠉⠀⠀⠀⠀⠈⢻⣆⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡶⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⢶⣤⣄⣀⣀⣤⣴⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠈⠙⠿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣶⣦⣤⣀⣀⣀⣀⣀⣀⣀⣀⣠⣶⡾⠟⠋⠉⠉⠙⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠉⠉⠉⠛⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⠾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣦⣀⠀⠀⠀⠀⠀⠀⠀⣦⣀⣀⣀⣠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⢶⣤⣄⣀⣀⣠⣿⡉⠉⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠶⠶⠶⠶⠶⢶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⢻⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⢷⣤⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠶⠛⠛⠛⠷⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⣿⠁⢀⣀⣀⣤⣤⡤⠶⠂⠀⣿⠃⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣦⡀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣁⣴⠿⠞⣫⣽⣿⣭⠥⣤⣤⣄⣸⣇⣀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀ ⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⣀⣤⠞⠋⠁⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣝⡀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⣠⡴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⣲⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿ ⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿ ⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃ ⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⠶⠿⠿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠁⠀ ⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠛⢁⣠⣤⣤⣼⣿⣶⣤⣀⡀⠀⢀⣤⡾⠋⠀⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⣠⣤⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢁⣴⠟⠋⠉⠙⠻⣿⣿⣿⣿⡛⠛⠋⠉⢻⡆⠀⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠠⠞⠉⣉⣀⣀⣀⣀⣀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡏⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣆⠀⠀⠈⣿⠀⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⣀⣠⣄⣀⣀⣀⡀⠀⠀⠀⣀⣴⡿⠃⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⠀⠀⠀⢿⡆⠀⠀ ⢸⣧⠀⠀⠀⣀⣤⣾⡿⠛⠋⠉⠉⠉⠛⠛⠛⠛⠛⠛⠉⠀⢀⣾⠋⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠸⣿⣿⣷⣦⣤⣤⣾⣿⣿⣿⣿⣿⡟⠀⠀⠀⠸⣷⠀⠀ ⠀⢻⣆⣰⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⠙⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣆⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⠈⠛⠿⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣷⣤⣀⣀⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢀⣤⡶⠾⠿⠛⠛⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⢻⣅⠀⠀⠀⠀⠀⢸⡏⠀⠀⡄⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⢿⣿⠿⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠙⠻⢦⣤⣤⡤⠛⠀⠀⣠⠇⠀⠀⠀⠀⠀⣤⡟⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠿⠦⠤⠶⠋⠀⠀⠀⢀⣠⡾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡤⠴⠾⠛⠁⠀⠀⠀⠀⠀⢀⣠⡶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠔⠻⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠈⠙⠛⢿⣶⢦⣤⣤⣤⣤⣤⣀⣀⣀⣀⣠⣤⣤⣤⣤⣤⣤⡤⠴⠶⠚⠛⠉⠁⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⢻⡟⠀⠀⠀⠀⣰⡿⠁⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠋⢀⡟⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⢿⣀⢀⣀⣼⠿⢤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠂⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⢈⣿⠟⠉⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⢸⣇⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⣴⡟⠁⠀⠀⢀⣀⣀⡀⠀⠀⢻⣧⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠖⠋⠀⠀⠀⠀⠀⠀⣾⣟⠉⣿⡻⣷⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡟⠀⢀⣴⡿⣿⣯⣭⠙⢻⣦⡄⢿⡄⠀⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠃⠀⠀⠀⠀⠀⠀⠀⢠⣟⣿⣿⡁⣻⢸⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣿⣋⣈⢏⠉⠿⣷⡟⢻⡿⡞⣿⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠶⣽⣻⣿⢷⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⢸⣿⡏⠙⡿⠂⢐⣋⠛⠚⠃⢿⣿⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⣼⣉⣛⠶⠾⠋⠛⣻⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⢿⣿⠶⠃⣸⠛⠙⣷⠀⠀⢸⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠘⢣⡀⠀⠀⠀⢀⠉⠀⠈⠙⠲⣄⣴⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣮⣿⣆⠀⠘⠻⠟⠁⠀⠀⠈⣿⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠹⡄⠀⠀⠘⠲⠶⣶⣄⠀⠈⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣦⡀⠀⠀⠀⠀⠀⢀⡏⣀⣀⣼⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⣿⠀⠀⠀⠀⠀⠀⢻⡇⠀⠈⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢦⣤⣤⣤⣤⡾⠛⠉⠉⠁⠈⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢠⠟⠀⠀⠀⠀⠀⠀⠀⠇⢀⣼⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠶⠶⠶⠶⣶⣦⣤⣾⠷⠟⠛⠛⠲⠶⠶⠶⠖⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣶⡶⠶⠶⠶⠿⠛⠛⠛⠻⠿⠷⠶⢶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⡶⠿⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠶⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣷⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⢿⣷⡄⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⠉⠉⠙⠓⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠁⠀⠀⣿⣷⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡄⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡏⠀⠀⠀⠀⣿⡿⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣆⠀⠀⠀⠀⠀⠙⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⣸⣿⠇⠀⣿⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀⠘⣦⠀⠀⠀⠀⠀⠈⢻⣧⠀⠀⠀⠀⠀⠈⠻⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣄⣀⣠⣼⠋⡿⠀⣼⡟⠘⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠘⣧⠀⣄⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢻⣿⣿⣿⣿⡾⣃⣾⡿⠤⠚⠃⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⢻⠀⠹⡄⠀⠀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠸⣿⡄⠀ ⠀⠀⠀⠀⢀⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠈⠛⢻⣻⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⢸⠀⠀⣿⠀⠀⠀⠀⠀⠀⠻⢆⠀⠀⠀⠀⠀⢹⣷⡄ ⠀⣀⣀⣠⠞⠋⠀⠉⠛⠓⠢⠤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠷⠖⢺⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠈⣦⠀⠀⠀⢀⣼⣿⣇ ⡟⠁⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣠⣤⣤⡀⠀⠀⠀⠀⠀⠀⢠⠋⠀⠀⠀⣠⣤⠴⠒⣶⠒⠒⠀⠀⠀⠀⠀⠀⢠⠇⠀⡟⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⣶⣤⡴⠛⠛⠛⠛ ⢣⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢤⣤⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣩⠟⢱⣄⣠⠇⠻⠀⠀⠀⠀⠀⠀⠀⡞⢀⡼⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠋⠀⠀⠀⠀⠀ ⠈⠻⡖⠲⠶⠦⢤⣀⣀⡀⠀⠀⠀⠀⠀⠸⠴⠟⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⢁⣀⢸⠀⠉⠀⠀⠀⠀⠀⠀⠀⠠⠞⠁⠀⠀⠀⠟⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠙⢆⢀⡴⡀⠀⠉⡉⠙⠲⠶⢤⣄⣀⡀⠀⠀⠀⢀⣀⣠⠴⠞⠉⠀⠀⢸⡟⠾⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡌⠙⢦⡀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠀⠹⣄⠞⠙⢦⣀⠀⡰⣌⠉⠉⢻⣋⠉⠉⣉⡀⠀⢠⡟⠲⣤⡎⠀⠀⠀⠀⠀⢀⣠⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠹⣄⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠁⠈⠳⠤⠻⠿⣦⣴⠁⠙⠦⠞⠀⠀⠀⠀⢀⣀⣀⡴⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣀⠀⠀⢹⡄⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠹⣿⡓⠒⠶⠶⠶⠖⠚⢛⣉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠶⠚⠉⠁⠀⠀⢸⡇⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣦⡀⠀⠀⠀⣰⠟⠉⠛⠶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠚⠉⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠛⢶⣤⡾⠃⠀⠀⠀⠀⠉⢦⡀⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠏⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⢠⣶⠖⠒⠲⠾⡆⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⣀⣴⡶⠟⠋⠀⠀⠀⠀⠀⢨⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⣴⠻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣠⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣤⡼⠁⠀⠈⠻⣇⠀⠀⠀⠀⠀⠀⠀⣇⢀⡤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣶⣿⣿⡿⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿⠿⢶⣦⣤⣀⠀⠀⢀⡾⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⢷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⢀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⢀⣠⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣶⣤⠶⠖⠉⠁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⠒⠚⠛⠛⠛⠛⠓⠶⢦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠿⠛⠛⠿⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⢹⠿⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀⠀⠀⠀⠀⠀⡞⠀⠠⣽⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀⢰⠃⢀⣶⣦⣌⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⡟⠀⢰⠃⢀⣴⣶⣶⣦⡀⠀⠀⠀⠈⣷⠀⠀⠀⢸⠀⢸⠛⢿⣿⡎⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢡⡇⠀⠘⢀⡟⠉⢻⣿⣿⣿⣦⠀⠀⠀⢸⡆⠀⠀⢸⡆⢸⣄⣸⣿⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⢸⠀⠀⠀⢸⡇⠀⢸⣿⣿⣿⢹⣧⠀⠀⠘⡇⠀⠀⠈⣇⢸⣿⣿⣿⣿⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⠀⠀⠀⢸⣿⣶⣾⣿⣿⣿⢻⣿⠀⠀⠀⣇⠀⠀⠀⢹⡀⣿⣿⣻⢿⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⠀⠀⠀⠈⣿⣿⣿⣿⣿⠟⣸⢉⡇⠀⠀⣿⡤⠤⠶⠚⠛⠛⠛⠛⠛⠛⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⡞⠛⠛⠻⠶⣦⣿⠀⠈⣇⠀⠀⠀⠘⣿⡭⣍⣡⠔⠁⣸⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⡇⠀⠉⠓⠲⢤⣍⠻⢦⣌⠳⣄⠀⠀⠈⠛⠶⠤⠤⠞⠁⡞⢰⣄⡀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠉⠻⣦⠙⢿⡮⣕⠦⢄⣀⡀⠀⢀⣀⣠⡇⠀⣿⣿⣶⣶⣤⣤⣴⣶⠏⣡⠞⢻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠈⠳⡀⠙⣄⠑⢦⡈⠉⠉⠉⠉⠉⢳⠀⠸⡿⠿⢿⣿⣿⣿⡿⢠⣇⡴⢿⣀⣤⡴⠶⠒⠚⠛⠋⠉⠙ ⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠉⠀⠘⡆⠀⠉⠓⢤⣄⣀⡀⢈⣇⠀⠱⡄⠀⠙⣿⣿⠃⡼⠁⠀⢸⡋⠁⠀⠀⠀⠀⠀⠀⠀⢰ ⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠈⠉⠉⠉⢣⡀⠙⠦⣄⡿⠃⣰⠃⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢠⠇ ⠀⠀⠀⠀⢠⣤⡤⢤⣽⣧⠀⠀⠀⠀⠀⠀⠀⣠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣄⣀⣀⡼⠁⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢀⡎⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠈⢳⣄⠀⠀⢀⣠⠞⢹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢠⡞⠀⠀ ⠀⠀⠀⠀⠀⢧⡼⢦⡀⠀⠀⠈⠉⠉⠉⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣰⠏⠀⠀⠀ ⠀⢀⡶⢶⣤⣸⠃⠀⠻⣄⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣠⡾⠃⠀⠀⠀⠀ ⠀⢸⡇⠀⠈⢻⠀⠀⠀⠹⣆⠀⠀⠀⣠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡴⠾⠋⠀⠀⠀⠀⠀⠀ ⢀⣠⡇⠀⠀⠀⠀⠀⠀⠀⠹⣧⣀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⢦⣀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠶⠦⣤⣤⠶⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢶⣤⣀⣀⠀⠀⠀⠀⢀⣀⣤⡴⠟⠛⠛⠷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠉⠉⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠈⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⣀⠀⠀⢀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣤⣄⣀⣀⣽⡛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠰⢶⡤⢄⡀⢸⣆⢆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⢋⠒⠲⠶⢦⣭⠗⠊⠙⠫⡻⣦⢀⣀⡤⠤⢲⢻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢆⢠⢾⠟⡻⠋⠀⠀⠀⠀⠈⠓⢄⠀⠠⠁⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣸⠃⠁⠘⠀⠀⠀⠀⠀⠀⠀⠀⠈⢄⠏⠀⡜ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⣇⣀⡀⠀⠀⠀⠀⢀⣤⣤⣤⡀⠀⠈⡇⢠⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡏⢸⢙⣆⠀⠀⠀⣾⣇⣀⣽⣿⡆⠀⢸⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠘⡿⠿⠀⠀⠀⠘⣟⠻⡿⠋⡇⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡯⠀⠀⠘⠃⠀⡤⠀⠀⠈⠂⠤⠜⠁⠀⠀⣻⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⣤⣤⣀⡀⠀⠉⠀⠀⠀⢀⣀⢤⣤⣲⡤⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣾⡇⠈⠉⠀⠀⠀⠈⠁⠀⠀⡹⣗⡁⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢋⢾⡷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡔⠋⠀⠀⠉⠛⠦⡀⠀⠀⠀⠀⠀⠀⣸⣿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠠⠀⠈⠑⢄⠀⠀⠀⢀⠏⢸⠀⠀⠀ ⠀⠀⠀⣄⣲⣴⣸⠁⠀⠀⠀⠀⠰⣶⠁⠀⠀⠀⠀⢁⡠⠞⡃⢀⡏⠀⠀⠀ ⠀⠀⣲⠟⠉⠁⡇⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⢀⡾⠁⡼⠀⠀⠀⠀ ⠀⣾⡅⠀⠀⠠⢇⠀⠀⠀⠀⠀⠀⢸⢳⡀⠀⠀⢸⣴⠉⠀⣸⠁⠀⠀⠀⠀ ⢐⠏⠀⠀⠀⠀⠀⠉⠐⠲⢯⣄⡠⣃⣀⣳⡀⠀⠘⣿⡀⠀⢯⣼⣧⠀⠀⠀ ⢸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢢⣴⣜⡿⠶⢌⡮⠟⠀⠛⠋⠀⠀⠀⠀ ⠈⠙⠳⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠁⠓⠺⠾⠶⠴⠤⢐⣤⡌⣻⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣠⡾⠛⠛⠻⢶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣾⠃⠀⠀⠀⠀⠀⠈⠛⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠶⠖⠲⢶⣄⠀ ⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠙⣧ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡄⠀⠀⠀⢀⣀⣤⣶⡶⠶⠚⠛⠋⠉⠉⠉⠉⠛⠛⠛⠶⠶⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⣰⡿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰ ⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠘⣷⣠⣴⠾⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⣦⣄⡀⠀⢰⡿⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼ ⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣿⣁⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇ ⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀ ⠀⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀ ⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀ ⠀⠀⠀⢸⣿⣧⡀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀ ⠀⠀⠀⠈⣷⡈⠻⣶⣤⣀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⣠⡾⣿⠃⠀⠀ ⠀⠀⠀⠀⠘⢿⣄⡀⠈⢹⡟⠀⢀⣤⠖⠛⠛⠛⠓⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠛⠛⠛⠛⠶⣄⠀⢹⣧⠀⢀⣴⠟⢸⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠿⠷⣾⠃⣰⠏⠀⠀⠀⠀⠀⠀⣄⡈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⢁⡄⠀⠀⠀⠀⠀⠈⠳⡄⣿⠛⠛⢁⣴⡟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢀⡏⠀⠀⢀⣄⣀⣀⣴⣿⣿⣎⢷⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣤⣄⣀⣀⠀⠀⠀⢰⣏⣾⣿⣿⣄⣀⣀⣤⠀⠀⠀⢿⣿⡶⠶⠟⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡾⡆⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠠⣶⠾⠛⠉⠉⠀⠀⠀⠀⠀⠀⠉⠉⠙⠳⣶⠄⢸⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⢿⡀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⠶⢶⣶⣦⣄⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⠟⠀⠀⢠⠏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⠛⢦⣄⡀⠉⠛⢛⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⣤⣤⣤⣾⣿⣿⠂⠀⠀⠀⠀⠀⠙⢿⣟⡛⠋⠁⢀⣤⠶⠋⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⡆⠀⠀⠈⠙⠻⣿⠟⠋⠁⠀⠀⠀⣶⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⢾⣷⠂⠀⠉⠀⣴⣦⠀⠀⠀⣿⡆⠀⠀⢀⣤⡄⠀⠀⠀⠸⠿⠆⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢠⣦⡀⠀⣰⣶⡀⠈⠉⠀⠀⠀⣼⣇⠀⠀⠈⠛⠁⢰⣶⡄⠀⣠⣤⡀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠘⠛⠋⠀⠈⠉⠀⠀⠀⣀⣤⣾⣿⣿⣦⣄⡀⠀⠀⠀⠁⠀⠈⠙⠛⠁⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠻⢿⣿⣿⣿⣿⣿⠿⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣤⣀⡀⠀⠀⣀⣠⡶⠟⠻⢶⣄⣀⣀⣀⣀⣀⣀⡀⠀⠀⢀⣀⣼⡿⢷⣆⡀⠀⠀⠀⠀⣠⣴⠟⠁⠀⠀⢀⡾⢹⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡟⠛⠛⠉⠉⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠉⠛⠛⠶⢾⠛⠉⠁⠀⠀⠀⢀⡾⠀⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⢠⠞⠀⢠⢿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢀⡴⠋⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣤⠴⠋⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢀⢾⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢋⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣃⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠞⠉⠹⡇⠀⠀⠀⠀⠀⠀⠀⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⣾⠉⠛⢶⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠈⢧⡀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠈⢧⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢰⠏⠀⠀⣠⡾⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡴⠒⠚⢳⡄⠀⠈⢧⡀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⢠⡏⠀⠀⢼⠛⠒⠲⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣆⠀⣀⣘⣧⣤⠴⠚⢧⡀⠀⠀⣿⣿⣶⣶⠤⠤⠤⠤⣴⣶⣾⣿⡇⠀⠀⢰⠟⠳⢦⣤⣌⣀⡀⢐⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠈⢳⡄⠀⣠⠞⣄⠈⢿⡄⠀⣾⠟⢀⡽⢲⡀⠀⣴⠋⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⣇⡀⢈⣷⣼⠃⠀⢻⣴⣏⣀⢀⣷⠞⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⢀⣀⣀⠀⢀⡤⠒⠉⠁⠒⢄⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⠤⣀⡀⠀⡠⠖⠋⠁⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⢀⡤⢄⡱⣄⠀⠀ ⠀⠀⣠⠖⠉⠀⠀⠀⠉⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⡀⡞⠀⠀⠑⡌⢦⠀ ⠀⡼⠁⢀⡴⠊⠉⠢⡀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢣⠀⠀⠀⠘⡆⣧ ⢸⠁⣰⠋⠀⠀⠀⠀⡇⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⣿⡂⣇⠀⠀⠀⢸⠇ ⢸⢀⡇⠀⠀⠀⠀⠀⣇⠈⣘⣶⣶⣶⣄⠀⢀⣴⡶⢶⣤⠀⣿⣿⣿⡇⢸⠀⠀⡀⣸⠀ ⠈⡄⡇⠀⠀⠀⠀⠀⢸⠂⢾⣿⣿⣾⢻⡆⣼⣿⠁⠀⢻⣧⢹⣿⡿⠁⠀⢣⠀⡟⠁⠀ ⠀⠘⠷⡀⢀⠀⠀⠀⡇⠀⠘⢿⣿⣋⣾⠇⣿⣿⡄⠀⠈⣿⡄⠀⠀⠀⢠⠶⠚⠀⠀⠀ ⠀⠀⠀⠙⠺⣄⠀⠀⢣⠀⠀⠀⠉⠉⠁⣀⢹⣿⣷⡀⣰⣿⣳⠒⢀⣀⠎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠑⠒⠒⠳⢼⣆⡀⠀⠊⠙⠦⠿⠿⠿⠿⢋⡥⠴⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠚⠑⠒⠚⢶⣶⠒⢺⠛⠉⠀⢸⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡷⡀⠀⠀⠀⠀⠠⣿⢷⠂⣠⢴⡃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⢹⠀⠈⠁⡲⠓⠒⠴⠋⠈⠉⡇⢀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠺⣄⠀⠀⠱⣀⠀⠀⠀⣀⠜⢀⣜⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⣓⠢⠀⠀⠉⡏⠉⠁⠀⠀⣌⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣅⣀⠴⠒⠊⠈⠉⠉⠓⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀
⢀⡤⠤⣄⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢺⡀⠀⠈⠛⠉⠉⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠳⣄⠀⠀⠀⢀⡸⠃⠀⠀⠀⠀⠀⢶⠦⣄⡀⠀⠀⠀⠀⠀⢀⣀⣀⣤⡤⠤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢳⣀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠈⠿⣡⡽⢛⡶⢶⣖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠒⠢⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⢀⣀⣴⠉⠑⡄⠀⠀⠀⠀⣨⠟⠻⣖⣉⠝⢙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢏⡀⠁⠀⢸⠃⠀⠀⢀⡞⠁⠀⠀⠀⠙⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⢀⣴⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠖⠻⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣧⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢼⣷⣿⡛⣏⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣯⣤⡌⢳⡀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⠛⡹⠀⠰⣧⠀⠀⠀⣰⡶⠀⢸⡰⡿⣿⣿⣿⢨⡇⠀⠀⠀⠀⠀⠀⢸⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠿⠷⠞⠁⠀⠀⠙⠷⠦⠶⠟⠁⠀⠈⠧⣽⣻⣿⣿⠞⠀⠀⠀⠀⠀⠀⠀⡞⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡼⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠚⠁⠀⠘⣆⠀⣠⠖⠚⠉⠉⠓⠦⣄⠀⠀⠀⠀⠀⠀⣆⠀⠀⠀⠀⠀⠲⢄⠀⡼⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣄⣀⣠⠞⠉⢳⡃⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠙⢇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⣀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠈⠳⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠈⠉⠲⣄⠀⠀⠀⡇⢹⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠈⢑⠦⠤⣀⣀⡠⠞⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠈⠑⢤⣠⠇⡞⠀⠀⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠉⠀⣇⣀⣀⠤⠖⠉⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⣀⡀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⣀⣀⠤⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡁⠀⠀⠀⠀⠀⠀⢀⡤⠤⠖⠒⠒⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣠⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠤⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⢀⣤⠖⠚⠛⠓⠲⠶⣤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢯⡟⠀⠀⠀⠀⢀⡀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣄⡀⠀⠀ ⠀⠀⠀⠀⢀⡴⠚⠉⠀⠀⠀⠈⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⣼⣃⣼⠧⢶⣾⣿⣛⣉⣀⣠⡇⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀ ⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⢀⣠⠞⠋⠁⠀⠀⠈⠉⠀⠀⠀⠈⠛⠿⠿⣄⣀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧ ⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼ ⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋ ⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠛⠛⢳⣄⠀⠀⠀⠀⠀⣠⡾⠁⠀ ⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣁⡴⠟⠻⢿⣿⣿⣶⡶⠶⠚⢿⠀⠀⠀ ⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠀⠘⠋⣉⣀⣀⣈⡉⠁⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⢹⣿⣿⣷⡄⠀⠘⣇⠀⠀ ⢻⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣤⣀⣀⣠⡴⠟⠁⣠⠶⠿⠿⢿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⣿⣷⣀⠀⠀⢀⣼⣿⣿⣿⡇⠀⠀⢿⠀⠀ ⠘⣇⢀⣴⠖⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⢸⡇⠀ ⠀⠙⠿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⠿⠛⠁⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠈⠙⠳⠦⢤⡀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣶⣤⣤⣾⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⢠⡞⠛⠉⠉⠉⢹⠇⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⢿⣿⠿⠿⠛⠉⠀⠀⠀⠀⠙⠦⣤⣀⣠⠞⠀⢀⠇⠀⠀⠀⢀⣼⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠳⠤⠔⠊⠀⠀⢀⡴⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠊⠉⠁⠀⠀⢀⣠⡤⠞⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣤⠤⠔⠒⠂⠉⠁⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢚⡟⠀⠀⠀⣰⠟⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⢸⡀⠀⠀⣰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠈⣳⡶⠛⠉⠉⠛⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣀⣾⠋⠀⢀⣀⣀⡀⠀⠹⡆⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠚⠁⠀⠀⠀⠀⣿⣛⣿⣷⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠃⢠⡶⢻⡿⣧⣉⣷⣦⣿⡀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⣸⣿⢿⣅⣄⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣿⡷⢾⡇⢸⠿⢭⠟⣿⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⢠⠿⣯⣽⠿⣿⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⢻⣷⠞⢠⡞⢳⡄⠀⢸⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠈⠉⠙⠳⣄⣼⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣿⣄⠈⠙⠋⠀⠀⢸⡇⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠘⡆⠀⠀⠙⠒⢶⡄⠈⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⣀⡀⠀⢀⣼⠶⠶⠚⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⢷⠀⡽⠀⠀⠀⠀⠀⢻⠀⣸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠈⠙⠳⠶⢤⣤⣤⣤⣤⣾⠾⠳⠶⠤⠤⠤⠶⠖⠚⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠒⠋⠉⠉⠉⠓⠢⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⡴⠊⢹⠂⠀⠀⠀⠀⠀⡠⠞⠁⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀ ⠀⠀⡘⠀⠀⠸⡀⠀⠀⠀⡠⢊⠄⠊⠁⠀⠀⠀⠀⠉⠒⠄⡀⠀⠀⠀⢻⠀⠀⠀ ⡰⠉⣧⠀⠀⠀⠈⠉⠀⣎⠔⠁⠀⠀⣠⣤⣄⡀⠀⠀⠀⠀⠑⡄⡔⠉⠙⠢⡀⠀ ⡇⠀⠘⠢⣀⣀⡀⠀⠀⠀⠀⢠⠀⣾⣿⣿⠓⡝⣦⡀⠀⠀⠀⢹⠀⠀⠀⠀⠈⠄ ⠹⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢄⣹⣿⣿⣿⣿⣷⢸⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸ ⠀⠈⠲⡤⠤⠐⠊⣠⠀⢠⠀⠀⠬⢿⡿⢿⡿⠟⡸⢸⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠑⢒⠜⠁⡠⢻⠌⠀⠀⠀⠙⠭⠤⠭⠐⢀⡠⠧⡔⠁⠀⡀⠤⠄⠀⡸ ⠀⠀⠀⠀⠀⠀⠁⠉⠀⣎⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢌⠑⠊⠀⡠⠊⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢲⡈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠑⠦⠤⠤⠔⠂⠀⠀⠀⠀⠀⠀⠀⠀⠙⠆⠀⠀ ⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⢠⠚⡱⠀⠀⠀⠑⢄⡀⢀⠀⠀⠀⠀⠀⢰⡸⠀⠀ ⠀⡞⠁⠘⡄⠀⠀⠀⠀⢀⣔⠉⠺⡀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⢠⠀⡸⠁⠀⠀ ⠸⡄⠀⠀⠈⠒⠤⠄⠤⢏⠈⠁⠒⠓⠂⠀⠀⣠⠞⠀⠀⠀⢀⡰⠋⠊⠁⠀⠀⠀ ⠀⢱⠤⣀⡀⢀⣀⡀⠤⠀⠈⠉⣇⠀⠉⠉⢡⣀⣀⡠⠤⢲⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠳⢄⣀⣀⣀⠄⢂⠤⢄⡤⢚⡖⢤⢒⡁⠠⢌⣱⠒⢍⣀⠔⣉⡁⠢⡄⠀⠀ ⠀⠀⠀⠀⠁⠒⠒⢲⢁⠔⠒⠉⠉⠀⠈⠁⣸⢠⡀⢀⣀⣀⠀⠀⠀⠀⢠⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠣⣀⣀⡠⠔⠊⠉⠉⠁⠀⠀⠀⠀⠀⠉⠒⠒⠒⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠀⠀⠀⠀⠈⠙⢦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇ ⠀⠀⠀⠀⠀⠀⠀⣀⠤⢄⣀⠀⠀⠀⡇⠀⠀⠀⠀⢰⣶⠄⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⡴⡋⠀⠀⠀⡨⠓⣄⠀⢳⠀⠀⠀⠀⠀⠉⠀⠀⠀⢀⡼⠀ ⠀⠀⠀⢀⡞⠀⢸⠓⠒⢺⡀⠀⠈⢣⠈⡇⠀⠀⠀⠀⠀⢠⡤⠴⠋⠀⠀ ⠀⠀⠀⡼⠒⠒⢏⠀⠀⠀⠙⣦⠖⠉⢧⡿⠀⠈⠙⡖⠚⠉⠀⠀⠀⠀⠀ ⠀⠀⡖⢧⡀⠀⠈⣦⡤⠤⠊⡏⣀⡴⠊⡹⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀ ⢶⡞⡟⠦⣌⡓⠾⠥⠤⠴⠒⠋⣁⠴⢊⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡇⠀⠀⢉⣙⣒⣒⣒⣚⣉⠁⠀⢣⡤⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠒⠒⠚⠒⠋⠉⠉⠀⠈⠓⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠄⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡾⢻⠿⢒⠯⠭⠟⠛⠓⠶⢤⣄⠀⠀⢀⣠⣤⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣶⠟⠉⠉⠙⣷⡄ ⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠒⠒⠲⢦⣜⢷⣀⠄⠀⢸⡇ ⠀⠀⣀⣄⣰⡟⢀⡴⠒⠛⠓⠲⣄⢠⠞⠁⠀⠀⣀⣀⠀⠈⢿⣿⠀⠀⣼⡇ ⢠⡞⠉⠈⣿⣷⠋⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⢸⣀⡸⡷⠀⠀⢻⣷⡾⠋⠀ ⣿⠀⠀⡠⢽⡏⠀⢠⠊⢹⣦⠀⠀⠀⢀⣀⡀⠈⠛⠛⠁⠀⠀⢸⡇⠀⠀⠀ ⣿⠀⠈⠀⠘⣿⡀⠘⠷⠿⠋⠀⠀⢎⠀⠀⠊⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀ ⠘⢷⣤⣠⣴⠿⣷⡀⠀⠀⠀⠀⠀⠀⡀⠀⢀⠃⠀⠀⣀⣴⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⢶⣤⣀⡀⠀⠀⠀⠉⣁⣠⣴⡾⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠛⠛⠛⠛⠛⠉⠉⠈⢷⣄⣠⣤⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠞⢻⡿⠁⠀⠀⡄⠀⠅⠀⠀⠀⠈⢿⡅⠀⠈⠻⡆⠀⠀ ⠀⠀⠀⠀⢰⡏⠀⢀⣾⠁⠀⠀⠀⢷⠀⢀⡇⠀⠀⠀⠈⣿⠀⠀⢀⡇⠀⠀ ⠀⠀⠀⠀⠘⣷⣄⢸⣇⠀⠀⠀⠀⢸⡆⣼⠇⠀⠀⠀⢀⣿⠀⣠⡾⠁⠀⠀ ⠀⠀⠀⣔⣋⠭⡛⣻⠿⢷⠶⠶⢶⠾⠿⡿⢦⣤⣴⠶⢿⣟⠛⡉⢉⣓⣦⠀ ⠀⠀⠀⠙⠗⣿⠜⠛⢻⣡⢴⣃⡼⠛⠋⠓⠚⠲⣕⡮⠽⠏⠳⠼⠒⠾⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠁⠀⠀⠀⠀⠀⠀⠈⠙⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣟⠉⠙⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢺⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⢿⠉⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⣷⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⠁⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⣠⡼⠛⢺⣅⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠟⠶⢤⣤⣤⣶⣿⣯⣄⢀⡄⢻⡄⠈⠙⠳⢤⡀⠀⠀⠀⠀ ⠀⠀⠀⡄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠦⠤⣤⣤⣤⣤⠴⠚⠋⠀⠀⠀⠀⠀⠀⣿⣟⠻⣟⣿⡵⠟⣿⣤⣄⣀⠀⠘⢧⡀⠀⠀ ⠀⠀⠀⠁⣇⠀⠀⠀⠀⡀⠀⠀⣀⣤⠞⠁⠀⣠⣄⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣷⠈⣷⠹⡜⣇⠀⢿⡄⠀⠈⢙⣦⠀⣻⠀⠀ ⠀⠀⠀⠀⠘⢦⡀⠀⢨⣿⠛⠉⣁⠀⠀⢀⣴⣿⡟⠛⢧⡙⣿⣆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢀⣇⡟⠀⠀⣟⠚⢋⣉⣼⠾⠋⠀⠀ ⠀⠀⠀⠀⠀⣠⡷⠛⠉⠁⠀⠀⠉⠳⠤⣿⣿⣿⣿⣦⣬⣷⠈⣯⣧⠀⠀⠀⠀⠀⠀⠹⣿⣿⠃⣼⡿⠀⠀⢠⡏⠉⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠞⠃⠀⠀⠀⠀⡄⠀⠀⠶⠶⠟⣿⣿⣿⣿⣿⣿⠄⢹⢹⡆⠀⠀⠀⠀⠀⠀⠻⣴⠾⠋⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⠏⠀⠀⠀⣀⡴⢋⡇⢀⠀⠀⠀⠀⠿⣿⣿⣿⣿⠟⠀⡾⠀⣷⠀⠀⠀⠀⠀⣀⣀⠤⣤⠆⠀⠀⣼⠃⠀⠀⠀⠀⣀⡤⠶⣶⡄ ⠀⢰⠇⠀⠀⢀⡾⠋⠀⣼⢀⡾⣆⠀⠀⠀⠀⠈⠻⠯⣁⣤⣞⠥⠞⠁⠀⣀⠀⠶⣏⣡⣞⠀⣼⠀⢀⡾⣅⣀⡤⠖⠒⠚⢩⣀⡴⢋⡇ ⢸⡏⠀⠀⢠⡞⢀⣠⠟⢉⣾⡁⠈⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢿⠻⣄⣀⣠⡟⠒⢊⢁⣴⠟⠁⠀⠉⠀⠀⠀⠀⢸⡋⠀⣸⠇ ⠀⣷⠀⠀⢸⠗⣉⣡⠴⠋⠉⠻⣍⠀⠀⠉⠓⠦⣄⣀⡀⠀⠀⠀⠀⣀⠀⠳⣖⠐⣾⢀⣴⠞⠋⠀⠓⠦⣄⠀⠀⠀⠀⠀⠘⢧⣴⠏⠀ ⠀⠈⠉⠛⠉⠉⠉⠀⠀⠀⠀⠀⣹⠳⠶⠤⠤⠀⠀⠉⠉⠙⠒⠒⠒⠾⠷⣄⣈⣙⣟⡾⠁⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⠀⣠⡞⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣄⣠⠞⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡟⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⠛⠛⢛⣿⣤⣤⣤⣀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⢾⡁⠀⡾⠀⠈⠙⣦⠞⠁⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣠⣿⡀⠀⠈⠙⠺⣧⠤⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢧⡙⠛⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠳⣤⣀⣠⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢀⣤⠿⠛⠋⢁⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⡤⠖⠛⠉⣳⣤⡀⠀⠀⠀⠀⠀⠀⢀⣾⣧⠤⠤⠖⠒⠋⠁⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠋⠀⠀⠀⠀⠀⠀⣀⣴⠋⠀⣧⠀⠀⠀⠀⠀⠒⠛⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠘⢧⡀⠀⠀⠀⠀⠀⠀⢙⣣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣤⠀⠀⠀⠀⠀⣀⣤⡬⢧⠀⠙⢦⣄⢀⣤⠖⠋⠻⣈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠲⣤⣖⠋⠁⠀⣿⣷⡇⠀⠀⠈⠛⠓⠒⠒⠚⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠚⠉⠀⠀⠈⠉⠒⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⢀⣀⣀⡙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡠⠔⠒⠒⠒⠤⣀⠀⠀⠀⢀⡀⣀⣴⣇⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠙⢦⣾⠿⠋⠋⠉⠉⠁⠀⠀⢰⣿⣿⡆⠀⠀⠀⠀⣸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠑⢄⡀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠀⠀⣀⠤⠐⠒⠒⣦⣤⡔⠉⠑⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠐⢚⡿⠁ ⢣⢀⡞⠁⠀⠀⠀⠘⠻⡿⠂⠀⠀⠀⠀⠙⠲⠤⣀⠀⠀⠀⠀⢀⣴⣶⣶⣤⣘⣄⠀⠀⠀⠀⠀⠀⠀⣀⢴⡚⣉⠀⠀⡠⠋⠀⠀ ⠈⢾⡀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠒⠒⢼⡇⠀⠈⣿⢿⣘⣆⠀⠀⠀⣀⠔⢊⠤⠊⣁⣏⣠⠎⠀⠀⠀⠀ ⠀⠀⠑⠤⣀⣀⣀⣠⡆⠀⠀⠀⢀⣴⣿⠶⠶⣄⠀⠀⠀⠀⠀⠉⢷⣤⣴⣿⡤⠀⣸⣿⠽⢋⡠⠊⢁⡤⢊⡤⠚⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⡇⠀⠀⠀⣾⣿⠁⠀⠀⢹⠀⠀⠀⠀⣀⡀⠀⠈⠉⠉⣀⠼⢋⡡⠒⢁⡠⢒⡡⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⠛⣦⣤⣴⡿⠀⠀⠀⠘⠋⠁⠀⠀⡴⠊⠠⠖⢉⣀⡀⣩⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠈⠓⠛⠛⠋⠁⠀⠀⠀⠀⠀⣠⠤⠴⠃⠀⠀⡼⠉⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠚⡍⠉⠉⠉⣑⠄⠀⠀⠀⠀⢰⡤⠤⠖⠁⠀⠀⠀⣀⠴⠛⢒⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⣴⠻⠐⡞⠁⢒⡤⠒⠁⠀⠀⣀⠔⢂⠤⠊⠁⠀⠀⠙⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠁⠀⢘⣄⣠⢚⠔⠊⢀⠤⢊⡠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠑⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣶⣷⡏⠀⢀⡠⠒⢁⠤⠋⢁⡠⠂⡡⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠛⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢧⠀⣱⠶⢯⠤⠊⠁⡠⠚⣡⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡼⣋⡿⠛⠁⡠⠔⣉⡴⠮⠤⠤⠤⠖⠒⠒⠒⠒⠒⠀⠀⠀⠒⠀⠤⠀⠚⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡠⠖⢛⡼⠋⠁⣀⠔⢉⠤⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠟⣓⠲⡁⢀⠔⢊⡠⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣄⠿⠆⣟⡠⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠤⠶⠶⠶⠖⠶⠶⠦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⣦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠾⠋⠉⠙⢯⡙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀⣀⣀⡀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⢠⣶⣿⣿⣿⣿⣿⣦⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀⣼⣿⣿⣿⢿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⢸⠀⠀⣿⣿⣿⣷⡼⠉⠹⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠸⡄⠀⣿⣿⣿⣿⣷⣄⣴⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠹⣆⠘⢿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⣀⣴⠶⢾⣟⣻⡷⢶⣦⡀⠀⠻⣆⠀⠀⠀⠀⠀⠈⠙⠖⠿⠿⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇ ⠀⠀⠀⠀⠀⣴⠞⠉⢩⢦⠚⠉⠉⠛⣾⡄⠻⣆⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀ ⠀⠀⠀⢀⣾⣉⣓⠒⠋⠸⢤⣀⣀⡤⠞⣈⠯⢿⡄⠀⠀⢷⠀⠀⠀⠦⣄⣀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠛⠁⠀⠀ ⠀⠀⠀⣸⠃⠀⠈⡏⢠⠴⠖⠛⠛⠓⣦⣇⠀⠀⣿⡀⠀⢸⢆⠀⠀⠀⠀⢩⡟⠳⠦⠤⠽⣦⣀⣀⣀⣀⣠⣤⡤⠶⠟⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⢀⣯⣀⠀⢠⠇⢸⠀⠀⠀⠀⠀⠸⡜⠦⠴⣿⠟⠛⡿⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⢠⣟⡿⢾⣝⣉⠀⠘⠦⣄⣀⣠⠶⠞⢁⣠⠞⠙⣦⠞⠁⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⣶⠛⢷⣼⣀⢨⠏⠙⡖⠒⣶⠓⢲⡋⠉⢳⣠⠞⠁⠀⢀⡴⣟⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⣿⠀⠉⠙⠲⣶⢷⠦⠿⠶⠾⢗⠛⠉⠀⠀⠀⢠⡟⠀⣈⣿⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⠃⠀⠀⠀⢰⠿⠯⡽⠷⠿⠷⢿⡀⠀⠀⠀⠀⢸⣇⠀⣷⢋⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡇⣀⠀⠀⢀⣸⠀⣠⣷⠀⠀⠀⣼⠁⠀⠀⠀⠀⣬⣏⠳⠷⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠻⠯⣿⣽⣿⠽⠷⠿⠛⠀⠀⠀⠸⢦⣄⣟⣶⣯⡷⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠤⠤⠤⢄⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠉⠒⢤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀ ⠀⠀⠀⢀⠤⠒⠊⠉⠉⠉⠒⠢⢤⣀⠀⠀⠀⠀⠀⠀⢀⣀⡰⢻⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠈⢇ ⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⣀⣴⣦⠖⡹⠋⢀⣆⠤⠄⢒⣾⡄⡀⠀⠀⠀⠀⠀⢀⠤⠚⠉⠁⠈⠉⠲⢄⠀⢸ ⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢋⠟⠁⠈⠀⠀⠉⠀⠀⠈⠉⠉⠓⠺⢿⡀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠈⢣⢸ ⡎⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⣸⡜ ⡇⠀⣠⠒⠉⠀⠀⠉⠉⠒⠤⡀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⣰⠆⠀⠀⠀⠀⠀⢀⠔⡿⠁ ⣇⢰⠁⠀⠀⠀⠀⠀⠀⢴⠒⠬⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⣀⠤⠚⡡⠎⠀⠀ ⠘⣼⡄⠀⠀⠀⠀⠀⠀⢀⡵⠒⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠞⠛⠛⢿⣶⣤⡀⠹⣭⠥⠔⠒⠉⠀⠀⠀⠀ ⠀⠘⢾⣦⡀⠀⠀⠀⠀⠀⠉⢩⠋⣠⣾⠟⠋⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢻⠹⣷⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠛⠷⣆⡄⠀⠠⢔⣿⢰⣿⣏⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⢸⣷⣀⠀⠀⣠⣿⠇⣿⠇⠀⢹⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⡹⢸⡀⢿⣦⣤⣤⣾⣿⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣛⣛⠛⣡⣈⡟⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠸⣧⣄⡙⢛⣻⣿⠇⠀⠀⠀⣀⡀⠀⠀⣀⠀⠈⠙⠛⠛⠉⠁⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠈⠛⠛⠛⠉⠀⠀⠀⠠⣄⢈⣥⣀⣠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⡄⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⢀⡠⣖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⣠⡤⠀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠤⠤⠒⠊⠁⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠚⠉⡽⠀⠀⠀⠀⠀⠀⣀⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣄⣀⣸⠁⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣀⠀⢀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠛⠛⠉⠣⡀⠀⠀⠀⠀⠘⠦⣇⣀⣠⣤⡴⣊⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠸⡍⠈⠀⠈⢧⠀⠀⠀⠀⠀⠀⢀⡎⣀⡤⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⢸⠧⢀⣀⣀⣀⣀⡀⠀⢳⠀⠀⠀⠘⡆⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠈⠉⠚⢧⡀⠀⣠⡇⠠⠤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣠⠶⠛⠛⠳⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠏⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠋⠉⠉⠳⡄ ⣾⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠹ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣤⣤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠙⣧⢀⣤⠴⠞⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠓⠶⢤⣀⠀⠀⢠⡟⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⣸⢠⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢶⣟⡀⣇⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢿⡀⠀⠀⠀⠀⠀⠀⠀⡾⠀ ⠀⠀⢻⡇⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⢰⡇⠀ ⠀⠀⢸⣿⣄⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⢀⣿⠀⠀ ⠀⠀⠀⢷⡙⠷⣦⣤⡏⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢹⡆⠀⠀⢠⡞⡟⠀⠀ ⠀⠀⠀⠈⠳⣤⣀⣸⠁⡠⠞⠉⠉⠉⠉⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢚⠉⠉⠉⠙⠢⡀⣷⣠⡴⢋⣼⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⢻⢸⠁⠀⢀⠀⠀⣸⣷⣜⡆⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⣞⣴⣿⡀⠀⢀⠀⠀⢹⣽⣤⣴⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⢯⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠤⠖⠛⠉⠉⠉⠉⠉⠉⠉⠛⠶⠦⠀⣿⣿⣿⣿⣿⣿⡇⠀⢠⢿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣟⣦⡀⠘⢿⣿⣿⣿⡿⠁⠀⠀⠀⠀⢠⣶⠟⠛⠛⣿⣶⡀⠀⠀⠀⠹⣿⣿⣿⣿⠟⠀⢀⡞⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡌⠙⠲⠤⠤⠖⠋⠀⠀⠀⠀⠀⠀⢸⣿⣿⣶⣿⣿⣿⠁⠀⠀⠀⠀⠈⠓⠦⠤⠤⠒⠉⢠⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠀⠀⠉⠛⢿⡟⠛⠁⠀⢠⣤⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⡿⠗⠀⠁⠠⣦⠀⠀⢸⡇⠀⠀⣴⠄⠀⠀⠸⠟⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢰⣷⠄⠸⠟⠀⠀⠀⢀⣼⣷⣀⠀⠀⠀⠻⠃⠠⠶⠆⠀⠀⠀⠀⠀⡧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢾⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⢠⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣤⣄⣀⣤⠞⠋⠙⠷⣤⣤⣤⣤⣤⣄⣀⣠⡤⠞⠛⢦⣄⣀⣀⣠⠶⠋⠀⠀⢠⠏⡜⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠀⠀⠀⠀⣠⠋⢀⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⢀⡴⠃⠀⢠⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠔⠋⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⠋⠹⡄⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⢀⡏⠉⢳⡊⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⢳⡀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⡜⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⢳⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡼⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⠀⠈⢧⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡸⠁⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣖⠋⠉⢵⠀⢈⣧⠀⠀⠸⣇⣀⣀⠀⠀⠀⢀⣀⣠⡇⠀⠀⣴⡁⠀⠺⠉⠉⢳⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠶⠖⠚⠒⠉⠉⢳⡀⠀⣳⠟⠻⣍⠉⢩⡟⠻⢞⠃⠀⡼⠉⠉⠓⠓⠲⠴⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣾⣁⠈⣦⡽⠀⢹⣰⣉⠈⣧⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⣿⡿⣋⣁⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⢛⡿⠿⠛⢋⣩⠥⠶⠿⠛⠛⠛⠻⠷⢶⣦⣄⡀⠀⠀⠀⠀⢀⣀⣤⣤⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠏⠀⠉⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⣄⣀⣶⣿⠿⠛⠛⠻⣿⣷⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣟⠁⠀⠀⠀⠀⠈⢻⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⠶⠶⢶⣶⣤⣀⠙⢿⣧⠀⠀⢀⡀⠀⠈⣿⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⢀⣴⠟⠋⠁⠀⠀⠀⠀⠀⠉⠛⢷⣌⢿⣷⡞⠁⠀⠀⠀⣿⡿ ⠀⠀⠀⠀⣀⣠⣄⣀⣼⣿⠃⢀⣤⡶⠛⠉⠉⠉⠙⠻⢶⣄⠀⣰⡟⠁⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠹⣿⣿⣧⠀⠀⠀⣸⣿⠇ ⠀⠀⣠⣾⠿⠛⠛⢻⣿⡟⣠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡟⠀⠀⠀⠀⠀⢀⡞⠉⠉⢻⣷⡀⠀⠀⠘⣿⣿⣄⣠⣴⣿⠏⠀ ⠀⣰⣿⠋⠀⠀⠀⢸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢸⣧⣤⣤⠛⣿⠃⠀⠀⠀⠸⣿⡿⠿⠛⠁⠀⠀ ⢰⣿⠇⠀⠀⠀⠀⣈⣿⣿⠃⠀⠀⣠⠖⠉⠻⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠁⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀ ⢸⣿⠀⠀⠀⡔⠉⠀⢿⣿⡆⠀⠀⣿⣄⣀⡴⢿⡟⠀⠀⠀⠀⡠⠖⠚⠉⢒⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⠀ ⠸⣿⡄⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠙⠿⣿⡷⠟⠁⠀⠀⠀⢾⡄⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠻⣿⣄⠀⠀⠀⠀⣀⣼⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡔⠀⠀⠀⠀⠀⠀⣠⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠻⢿⣶⣶⠿⠟⠋⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠤⣀⠀⢀⡰⠃⠀⠀⠀⢀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⣀⣤⣶⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⣿⣷⣶⣦⣤⣤⣤⣤⣤⣴⣶⣾⠿⠟⢻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠏⠈⠉⠉⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠹⣿⣆⣀⣤⣤⣦⣤⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣶⣿⡏⠀⠀⠀⠀⡄⠀⠀⠀⣢⠀⠀⠀⠀⠀⠀⠙⣿⣿⠋⠉⠉⠉⠛⢿⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠉⠀⢠⣿⡟⠀⠀⠀⠀⠀⢸⡀⠀⠀⠁⢀⡄⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠁⠀⠀⢀⣿⡿⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⢹⣿⡆⠀⠀⠀⠀⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠀⠀⣸⣿⠃⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⢰⣿⠃⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⣰⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⣄⡀⢻⣿⡀⠀⠀⠀⠀⠀⠀⠀⢻⣧⢀⣿⡟⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⢀⣠⣾⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⡶⠟⠛⠛⠿⣿⣾⣿⣿⣷⣦⣤⣤⣤⣤⣤⣾⣿⣾⣿⣥⣀⣀⣀⣀⣤⣴⣾⣿⣿⡾⠿⠛⠛⠛⠿⢶⣄⠀⠀ ⠀⠀⠀⠀⠀⢸⣧⣴⠖⣋⣥⠆⣴⡿⢋⣉⣬⠝⠙⣛⠛⢻⣏⣉⣉⣽⡟⠛⣿⡛⠛⡟⠛⢛⣛⢻⣶⣄⠀⢠⡀⠒⢶⣶⡿⠃⠀ ⠀⠀⠀⠀⠀⠀⠘⠿⠾⣿⣧⡾⠛⠛⢻⡟⢁⣤⣾⡏⢠⣿⠛⠛⠛⠉⠻⠛⠛⠻⣦⣙⣷⣤⣍⣿⡏⠙⢷⣬⣿⠻⠶⠿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠀⠀⠀⠈⠛⠋⠁⠘⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣾⠿⠶⢶⣶⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠈⠉⠉⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠉⠀⠀⣠⣤⣶⣷⢀⡀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠁⠀⠀⠀⠘⠛⠁⠀⣀⣼⣿⣦⠀⠀⠀⠀⠀⠙⣦⣮⣹⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⡿⠀⠀⠀⠀⠀⠀⠀⠰⢿⡿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠈⠙⠛⠳⠶⣤⣄⡀⠀⠀ ⠀⠀⠀⠀⢀⣾⡿⠛⢀⡀⠀⠀⢀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⣉⣉⣉⣙⣧⠀ ⠀⠀⠀⠀⣼⠏⠀⠀⠀⣷⠀⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣠⠀⠀⠀⣿⠀⢿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⢀⡿⠀⠀⠀⠀⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣯⣤⡾⠃⠀⠀⠀⠈⠻⠶⣾⣿⣿⣿⣿⠄ ⠀⠀⠀⣸⡇⠀⠀⠀⢰⣿⣿⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡿⠀ ⠀⠀⣰⡿⠀⠀⠀⠀⠈⢹⣿⡼⠁⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⠟⠁⠀ ⠀⣰⡿⢡⠂⠀⠀⠀⠀⠀⣿⣇⣰⣂⣠⠀⠀⠀⣟⣀⣀⠀⠀⠀⠀⠀⣠⣤⠶⠿⠿⠿⠛⠿⣧⠀⠀⠀ ⣰⡿⢠⣏⡔⠀⠀⠀⠀⠀⢿⣿⣿⣿⡇⢠⡀⠀⢿⣿⣿⣿⣍⣙⠛⢻⣏⣤⠾⣦⡀⠀⠀⠀⢹⡇⠀⠀ ⣿⣷⣿⣿⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣧⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⡿⣶⣾⣿⣶⣦⣴⡟⠁⠀⠀ ⠹⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡏⠀⠀⠀⠀⠈⠉⠉⠉⠙⠿⠟⠁⠈⠙⠛⢻⡿⠀⠀⠀⠀ ⠀⠀⠙⠻⣧⡀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠋⠀⠀⡴⣾⣿⣷⣶⣤⣤⣤⣤⣤⣶⠤⠶⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣶⣤⣤⣤⣴⣿⣿⣿⣿⠃⠀⠀⠀⢰⡟⢿⣿⣿⡿⠻⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠋⠁⠙⢿⣿⠀⢠⠄⠀⡼⠀⢸⣿⢹⡇⠀⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣶⡟⣸⠁⠃⠀⣿⣿⡀⠧⠀⣸⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣟⣴⣿⠀⠀⠀⣿⠹⡇⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠛⣻⡿⢿⣆⢠⣿⠀⠁⢀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠾⠋⠁⢈⣿⣿⣿⡇⠀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠋⠉⢿⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠈⠿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡶⠛⠉⢉⠀⠈⠉⠙⠳⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡞⠁⠀⠰⠚⢙⣰⣄⠀⠀⠀⢌⡗⡄⠀⠀⠀ ⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠘⠛⠛⠉⠁⠀⠀⠀⠉⡙⠶⠤⡀ ⠀⠀⠀⡾⠁⠀⣆⣴⠋⠀⠀⠀⠀⠀⡄⢀⠄⠀⣎⠲⣿⣿⣿ ⠀⠀⢠⠇⠀⢀⣿⠃⠀⠀⠀⠀⠒⠻⠟⠁⠀⠀⠀⠉⢿⣿⡟ ⠀⢀⡞⠀⠀⠀⢸⡎⡀⠀⠀⢠⠀⠀⠀⠀⠀⢀⣤⣶⣿⡟⠁ ⢀⡞⣜⠄⠀⠀⠸⣿⣿⣃⡄⠸⣿⣷⣔⣒⣯⡕⢄⡀⠀⣳⠀ ⠘⢿⣿⡄⠀⠀⠀⢻⣿⣿⡇⠀⠈⠛⠛⠛⠿⠝⠛⠿⣿⠁⠀ ⠀⠀⠙⢧⣀⠀⢀⣼⣿⣿⠋⠀⢺⣿⣷⣶⣶⣶⠗⠚⠁⠀⠀ ⠀⠀⠀⠀⠉⠛⠛⠉⠻⡇⢠⡀⡎⢸⡿⡁⢹⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣣⡇⠀⣸⠇⠁⣼⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢏⡽⠛⣆⣿⠈⣼⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠟⠉⣶⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡟⠛⠙⠳⣦⡀⠀⠀⢠⡾⠛⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠈⣷⠀⢀⡟⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡄⣼⠁⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⣀⣀⠀⠀⡇⡿⠀⢀⣀⡀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⣾⠁⠈⢷⠀⣷⡇⢠⡏⠈⢳⡀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⢻⡀⠀⢸⡇⣿⡇⢸⠀⠀⢸⢧⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠘⡇⠀⢸⡗⡟⣿⠈⡇⠀⡟⣺⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⢳⡀⢸⣷⠃⠘⣆⣇⢸⣇⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣎⢳⣼⣿⣆⡀⢻⣽⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠶⠖⠒⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠓⠒⠶⠶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠲⣤⠀⠀⠀⠀⠘⢷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡾⠁⠀⠀⠀⠾⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀ ⠀⠀⠀⣾⠁⠀⠀⢀⠀⠀⢀⣀⣠⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣀⡀⠀⣄⠀⠀⠙⣧⠀⠀⠀ ⠀⠀⢰⡟⠀⠀⣀⠘⣳⣶⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣾⣏⣀⠀⠀⢻⡄⠀⠀ ⠀⠀⣼⠁⠀⠀⠉⣿⣿⣿⣟⢀⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣁⣸⣿⣿⠿⢿⣿⣿⡁⠀⠀⠀⣿⠀⠀ ⠀⠀⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣥⣾⣿⣿⡇⠀⠀⠀⠀⠀⣀⣤⣤⣄⡀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣤⣾⣿⣿⡇⠀⠀⠀⣿⠀⠀ ⠀⠀⣿⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠁⠀⠀⠀⠀⠀⠉⢿⠿⠛⠁⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⠿⢿⡿⠁⠀⠀⠀⣿⠀⠀ ⠀⠀⢻⣦⠀⠀⠀⠀⠈⠳⣿⣍⣹⣏⣹⡷⠟⠁⠀⠀⠀⠀⢴⣧⣀⣀⣠⣤⣶⠆⠀⠀⠀⠀⠻⢶⣯⣽⣻⣍⣹⡶⠞⠁⠀⠀⠀⣸⠇⠀⠀ ⠀⠀⠀⢻⣧⠀⠀⢀⣠⣤⣤⣄⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣩⠥⠓⠲⢤⡀⠀⣠⠟⠀⠀⠀ ⠀⠀⠀⠀⠛⣧⠀⠘⠣⠤⠤⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠶⠒⠋⠀⣰⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡤⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠒⠲⠶⢤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣯⣷⠤⠶⣶⠒⠚⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⣄⠀⠀⠀⠈⢿⣻⠇⣿⢗⣦⣤⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⠈⠳⣄⣰⣿⠿⠏⠛⢾⣯⡵⠃⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣷⣠⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠻⣽⡇⠀⠰⣿⢭⣀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⡗⠀⠀⣤⣀⠀⠀⠀⢀⣤⡶⣶⢾⣧⠀⠀⠒⠦⠤⢤⠽⠛⠁⠠⣤⣽⡿⠛⠒⠛⠂⣼⣷⠴⡶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠙⠙⠉⢻⡄⢀⣿⢿⡷⠀⢰⣿⣿⣗⢿⣿⠛⢻⡄⠀⠀⠀⠸⡟⠒⠀⠀⠀⣸⠇⠀⠀⠀⣰⠋⢺⣿⣧⣤⣼⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣧⢼⠃⠀⠀⣀⣺⣿⠿⠿⢀⡼⢶⣴⣷⠀⠀⠀⠀⠙⢶⣤⣈⡽⠋⠀⠀⠀⠀⡇⣠⠤⣄⡸⠷⠏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣼⣀⣴⣽⡿⣯⠿⢦⡀⠸⠴⡞⣩⣟⣀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⣧⡘⠷⢼⠇⣀⣾⣵⣿⣷⣶⣄⣀⣀⣀⣀⡀ ⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠋⠁⠈⠉⠛⠛⠛⠒⠒⠒⠒⠒⠒⠚⠛⠛⠛⠉⠉⠛⠛⠛⠉⠈⠁⠀⠉⠉⠀⠀⠈⠁⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠤⠖⠒⠲⠤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠁⠀⠀⠀⠀⠀⠀⢱⠀⠙⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠆⠀⠀⠈⠓⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠈⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⣼⣁⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠢⢄⡀⠀⡀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⡼⠁⢀⣼⣧⠀⠀⠀⠀⠀⠀⣞⣤⣤⡀⠀⠉⢢⣧⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠃⢰⡇⢀⣿⣽⣿⣇⠀⠀⠀⠀⢰⣿⢿⣿⣿⣶⡄⠀⢻⣧⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠎⠀⠀⠈⣇⣸⣿⣿⣿⡟⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⠀⠀⢇⢳⡀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠈⠿⡟⢭⣿⠃⠀⠀⠀⠀⠸⣿⣿⢿⣿⡿⢹⠀⠀⢸⠀⢣⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡁⠀⠀⠀⠀⢸⠛⠉⠙⢡⡶⢶⣤⣤⣄⠀⠙⠧⢍⣁⡴⠃⠀⠀⢸⠃⡼⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⢸⣤⣶⠿⠹⣿⣿⣿⣿⠟⢠⣤⠀⠀⠀⠉⠑⢦⠀⣸⡰⠁⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠻⢽⣿⣆⣈⢹⡏⠀⠀⣤⠉⣶⡆⠀⠀⠀⣸⡶⢫⠃⠀⠀⠀⠀⠀⠀⡞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠒⠤⣄⣀⠴⠋⣨⠟⠙⠦⠤⠤⠟⠒⠒⡶⠤⠐⠺⡉⠀⠘⣄⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠊⠁⢠⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⡆⠀⠈⢲⠤⠼⠷⠦⠐⠊⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣴⠞⠁⢀⣀⣀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⣇⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⡟⠀⠘⣤⠞⠁⠀⠈⠙⢦⡀⠀⠀⣀⠴⠒⠒⠢⢄⣰⠃⠈⢦⡀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠳⣀⠀⢹⡄⠀⠀⠀⠀⠀⢳⡀⡼⠁⠀⠀⠀⠀⠈⡇⠀⠀⠀⢳⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠉⠱⡄⠀⠀⠀⠀⠀⡇⣇⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⣸⠀⢀⡠⠔⠊⠳⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣀⣀⣀⣠⠟⠹⡀⠀⠀⠀⢀⠞⠀⠀⠀⢰⡋⠉⠁⠀⠀⠀⡸⠘⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⠤⠴⠓⠤⠤⠤⠔⠚⠉⠒⠒⠢⠤⠤⠷⠔⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠛⢛⠋⠙⠛⠛⠛⠛⢁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⡀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠾⠛⡆⢀⣠⠤⠖⠒⠛⠉⠉⠉⠙⠒⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠋⠀⢀⡼⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠾⠥⢄⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡀⠀⢳⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣍⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣀⡤⠖⠒⠒⠒⠲⢤⣄⠀⠀⠀⠀⢀⣤⠖⠛⠉⠉⠛⢦⡘⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣁⢀⠀⢀⡞⢡⡶⠒⠀⠀⠀⠀⠀⠈⠙⠓⠒⠚⠉⠀⠀⠀⠈⠲⡄⠀⠻⣾⠉⠲⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠉⠉⡏⢀⡏⠀⠏⠀⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⡶⣽⠀⠀⢻⠳⡄⢱ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡖⠒⡇⢸⠁⠀⠀⣼⠋⢹⣿⣮⢳⠀⠀⠀⠀⠀⠀⠀⠀⣿⠉⣿⣷⠈⡇⠀⢸⠀⠁⡌ ⠀⠀⠀⠀⠀⢀⣀⣀⣄⣀⡀⠀⠀⠀⠀⢸⡀⠣⠀⢻⣸⡄⠀⢸⣿⣿⣿⣿⣿⢸⠆⠀⠀⠀⠤⢄⠀⢸⣿⣿⣿⡟⢠⠇⠀⡞⠀⡰⠁ ⠀⠀⠀⣠⡴⠋⠁⠀⠀⠈⠙⣆⠀⠀⠀⠀⢳⣄⠀⠈⢿⣧⠀⠀⠻⣿⠿⠟⢁⡜⠀⠀⠀⠸⢦⡼⠁⠳⡝⠯⠭⠴⠋⠀⣼⣡⠞⠁⠀ ⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠉⠓⠲⠬⠿⢷⡀⠀⠀⠉⠉⠁⠀⠾⣤⢄⣀⡸⠥⠴⠋⡿⠀⠀⢀⣠⢞⣉⣀⡀⠀⠀ ⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣉⣳⣦⣄⡀⠀⢀⡀⠙⣆⠒⣄⡠⠃⣴⡧⠴⠚⡹⠋⠁⠀⠀⠈⢙⡄ ⢀⡏⠀⠀⠀⠀⠀⠀⣤⠖⠋⠁⠀⠀⠀⠀⠀⢠⡞⢉⠄⠀⠈⠉⠣⡀⠈⠉⠉⠛⠛⠒⠤⣍⣉⡤⠞⢡⡀⠀⠀⢧⠀⠀⠀⡀⢨⣣⠀ ⢸⡇⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠋⡀⠀⠀⠀⢀⠇⢀⣀⡠⠄⠀⠀⠀⣀⠤⠤⢄⠀⢻⠉⠉⠉⠳⣄⠀⠱⡀⢻⠀ ⠈⣇⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡼⠀⡜⠁⣰⠛⠋⠁⣸⠀⠀⠀⢀⡞⠁⠀⠀⠀⢳⠀⡆⠀⠀⠀⠈⠳⢄⣧⡜⠀ ⠀⢹⡄⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣼⣀⡴⠁⠀⣀⠴⡏⠀⠀⠀⢸⠀⠀⠀⠀⠀⡼⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⣄⠀⠀⠀⠀⠀⠉⠓⠦⣄⣀⠀⠀⠀⠀⢀⣀⣀⡤⠴⠒⠉⠀⣰⠁⠀⠀⣀⣈⣳⣤⡤⠴⠚⡵⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⢀⡠⠔⠒⠛⠒⠲⢄⣸⠁⣾⣁⣀⠤⠚⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠓⠲⠤⢄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⡜⡽⠋⣠⠔⠂⠀⣀⠀⠙⣦⡇⠀⠀⣄⠀⠐⠲⣍⢣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠧⢤⣧⠤⠴⠚⠉⠁⠒⠁⠘⠒⠐⠋⠑⠒⠒⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⣀⣴⣶⡿⠿⠿⠿⠿⠶⠶⠶⢶⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣟⣉⣉⠀⠀⠀⠀⠈⠉⠉⠙⠛⠿⣿⣷⣦⣄⠀⠀⠀⢀⣠⣴⣾⣿⣷⣶⣶⣶⣦⣤⣤⣤⣤⣤⣴ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢉⣽⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣷⣤⣾⡿⠛⠉⠁⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⢹⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⣾⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠶⠟⠋⠀⠀⣸⣿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⣠⣾⠋⠀⠀⠀⠀⢠⠀⠀⣤⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⣴⡾⠋⠉⠀⠀⠀⠀⠀⣰⣿⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢀⣾⣿⠇⢀⣴⠞⠁⠀⠸⣧⡀⠘⣧⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠸⠋⠀⠀⠀⠀⠀⠀⢀⣼⣿⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣾⣿⣿⢠⡿⠃⠀⠀⢳⣄⠈⣿⣶⣿⣿⠟⠛⠛⣻⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⢿⣿⣿⠃⠀⠀⠀⠀⢹⣿⠟⣹⠋⠀⣠⣶⠿⠛⠛⠻⢿⣷⣄⠀⠀⠀⠀⣠⣴⣾⡿⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢸⣿⡿⠀⠀⠀⠀⢠⣿⠏⢰⠃⠀⣾⠟⠁⠀⠀⠀⠀⠀⢿⣿⡄⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⠀⠀⠀⠀⣼⡟⠀⡟⠀⢸⡏⠀⠀⠀⠀⠀⠀⢀⣾⣿⣧⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⣿⡇⢰⡇⠀⢸⣷⡀⠀⠀⠀⢀⣠⣾⣿⣿⡿⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⡀⣤⠤⣄⡀⢀⣤⣿⡿⣆⠀⠀⠀⠸⣿⡀⣿⠀⠸⣿⣿⣷⡶⠚⠛⠛⢿⣿⣿⠇⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⡛⢿⣦⡈⠙⣿⡟⠉⠠⠛⠲⣄⡀⠀⠹⣷⡘⣧⡀⠹⣿⣿⡀⠀⠀⣀⣾⣿⠏⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⡤⠤⠤⣤⣌⣻⣆⠙⢷⡀⣿⣇⠀⠀⠀⠀⠀⢝⠳⢤⡀⠉⠈⠻⢶⣬⣝⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⠷⣤⣄⣀⠈⠉⠻⣧⠈⣷⣘⣿⣧⣀⢀⣤⣴⣮⣤⣄⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⣻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣤⠼⠿⠛⠳⠦⠀⠀⣯⠙⢿⣍⠛⠛⢧⣤⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠙⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠓⠶⠶⣤⣤⣶⠒⠶⠾⢦⣄⠙⠷⣤⣼⠟⠛⠛⠓⠶⣄⠀⠀⠀⠰⡀⠀⠀⠀⠀⢀⣇⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣁⣀⣉⣷⢶⣤⠤⠀⠀⣀⠊⠀⠀⠀⢄⡀⠀⣨⠀⠀⠀⠀⣿⠀⢀⣠⣴⡿⣿⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠁⠀⠀⠸⠧⠤⣶⡾⠁⠀⠀⠀⠀⠀⢻⣴⠇⠀⠀⠀⠀⣿⣶⠟⠋⠁⠀⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡾⢋⣉⣻⡆⠀⢸⣿⠀⠀⠀⠀⠀⠀⣼⣿⣧⣠⣤⡄⠀⠀⢸⣿⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣧⠸⣯⣛⠃⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⢰⠛⢻⠶⣿⠀⠀⢸⣿⠀⠀⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣷⣌⣉⠙⠛⠛⠛⣿⣦⡀⠀⠀⠀⠐⠋⢻⠃⣰⠏⠀⠀⠈⢿⣇⠀⠀⠀⢠⡙⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⠿⠛⠛⠿⣿⣷⣦⣤⣄⣀⣧⣼⣯⣤⣷⣤⣷⣶⡿⠷⠶⠶⡾⠛⠛⠁⠀⠀⠀⠀⠀⠀⣀⡀⠀⣀⣀⣀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠔⠒⠒⠒⠤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠔⠦⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠔⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⢹⠉⠲⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡏⠠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠴⠻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⣰⢧⣞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠋⠀⠀⠁⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⢀⣠⠿⢤⣀⣤⣴⣞⡁⢠⢹⡍⠑⠒⢤⡀⠀⠀⠀ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣠⠞⠒⠲⠦⠤⠔⠒⠋⠀⠀⠀⠀⢰⠿⡝⣟⣯⠚⣷⠤⠤⣄⠈⢦⡀⠀ ⠀⠀⠀⠳⡀⠀⠀⡤⠤⠴⠚⠁⢀⣴⡶⣶⠲⣤⠀⠀⠀⠀⠀⠀⣿⣧⣾⢸⢸⠀⢹⡄⠤⠴⢳⡴⠇⠀ ⠀⠀⠀⠀⣸⠴⠚⠋⠀⠘⠢⣠⣾⣿⣧⣄⣧⠹⣳⡀⠀⠀⠀⠀⢻⣿⠟⣸⡏⠀⢸⠓⠒⠛⠉⠀⠀⠀ ⠀⠀⢠⠞⠁⠀⠀⢀⡄⠀⠒⠒⢻⣿⣿⣿⣿⠀⡏⣷⠀⠀⠀⠀⠐⠣⠞⠋⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠋⠀⠀⣤⠞⢡⠃⡆⠀⠀⠘⠻⣿⠿⠋⣠⢃⡼⠀⠀⢀⡠⠔⡖⢲⠃⢀⡜⠁⢀⣀⣠⡴⠚⣻⡆ ⢰⡏⠀⢀⡞⠁⡰⢛⡜⠈⠢⣀⠀⠀⠈⠉⠉⠉⠁⠠⣴⢦⣀⣉⡮⠤⡊⣠⠞⠉⠛⠁⠀⠀⢸⠊⢀⡇ ⠈⡇⠀⢸⢒⣉⠴⠋⠙⢏⠀⠈⠙⠦⢄⣀⠀⠀⠀⢀⡈⠲⡒⣺⢠⡶⠛⠑⠲⢤⡀⠀⠀⠀⠘⣤⠎⠀ ⠀⠈⠉⠉⠁⠀⠀⠀⠀⣠⠛⠒⠒⠀⠀⠀⠉⠉⠉⠙⠙⠦⠬⠯⠎⠀⠀⠀⠀⠀⠙⣄⠀⢀⡴⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠒⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡸⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣀⣸⠁⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠋⠀⢰⠓⢲⠖⠢⣄⣠⠞⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣸⡆⠀⠘⠲⢾⡤⠤⠚⠁⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢯⠉⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⢀⣀⣀⣤⡞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠑⠲⢶⠀⢀⡸⢦⡀⠀⠀⠀⠀⠀⠀⢠⡇⠀⢀⣀⡴⠊⠁⢀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⡴⠋⠂⠀⠀⠀⢀⡴⠋⣏⠉⠉⠀⠀⠤⢖⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠈⠁⠙⢦⡘⢦⡀⠀⠀⠀⠀⣙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣄⡀⢀⡠⠔⢶⣓⡄⠙⠦⣴⣊⣉⣹⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠒⠒⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡀⠠⠤⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠈⡖⠒⢄⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠃⠀⠀⠀⠀ ⠀⢀⠆⠙⠀⠀⠀⡀⠀⠀⠀⠀⣼⣀⣀⡴⠛⢧⠤⢀⠀⠀ ⠀⢸⠀⠀⠀⢀⡴⢓⣒⡒⠂⠁⠀⠀⣼⠛⣿⠻⡒⠠⡑⡄ ⠀⠀⡠⠜⠉⠠⢠⣾⣏⣎⢷⡀⠀⠀⢿⢇⡿⠀⡏⠑⠋⠁ ⢀⠊⢀⡀⡆⡀⠉⢿⣿⠟⡈⡇⠀⢀⣈⢭⠀⡸⠀⠀⡠⢤ ⡎⠀⡊⢔⣷⡑⠄⡀⠈⠈⠉⠰⣢⣭⠖⡊⡜⠁⠉⠀⠗⠱ ⠑⠂⠂⠁⠀⡱⠀⠀⠁⠐⠒⠒⠬⠼⠎⠀⠀⠑⠄⢀⠜⠁ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀ ⠀⠀⢀⠤⣴⣁⡀⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⣨⠀⠣⣆⠨⠊⠀⠀⠑⡀⠀⠀⠀⠀⠀⢀⠜⠀⠀⠀ ⠀⠀⠣⢀⡀⠘⡀⠀⠀⠀⠀⢰⠀⠀⣀⠄⢐⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠘⠀⠀⠀⢠⠻⡉⠉⠀⠲⡁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠢⡀⢀⠠⢵⡑⠤⣠⣐⣾⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⢹⡠⠔⠂⠉⠉⠉⠉⣲⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⡬⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡠⠔⠒⠒⠒⠤⣀⣀⡠⠖⠉⣉⠲⣵⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠓⡆⡜⠰⢁⣀⣀⠀⠀⠀⠀⠀⢀⣤⡬⡆⠘⡧⢱ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠉⡇⡇⠀⣯⣼⣷⢃⠀⠀⡀⠀⣼⣼⡇⠁⢀⠃⡘ ⠀⢠⠖⠉⠉⠙⢆⠀⠀⠣⡀⠸⣧⠀⠻⣟⣋⠆⠀⠐⢤⠃⣞⠿⠕⢁⡬⠔⠀ ⢰⠃⠀⠀⠀⠀⢸⠀⠀⠀⠀⠉⠉⠓⢄⡀⠀⠈⢣⠶⡈⠍⣜⡠⠴⠓⠒⠂⡄ ⡇⠀⠀⠀⡠⠊⠁⠀⠀⠀⢎⡁⠀⠉⢣⠈⠉⠉⠑⠪⠅⠊⢄⠀⢠⡀⠠⠨⡆ ⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡄⡐⢠⠞⠂⡏⠁⢀⠊⠁⠙⡌⠀⠀⠈⠢⡁⠇ ⠘⡄⠀⠀⠘⠦⣀⠀⠀⠀⠀⠑⢓⡃⠄⢺⠀⠀⠸⣀⣀⠠⡓⠀⠀⠀⠀⠀⠀ ⠀⠈⠢⢄⡀⠀⠀⠉⠉⠉⠉⠉⢀⢤⠒⡓⠒⠤⡉⠯⠤⠚⡠⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠀⠐⠒⠒⠂⠀⠱⢁⣊⠠⠔⠀⠋⠢⠴⠠⠬⠖⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠃⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⡈⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡏⣼⣧⠘⣆⣀⣤⡤⠤⠤⢤⣤⣄⣰⡃⣼⣷⠸⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣠⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⣇⣷⠀⠀⠀⠀ ⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡄⠀⠀ ⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀ ⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆ ⢸⠀⠀⠀⠀⠀⣾⣉⣷⠄⠀⠀⠀⢀⡀⠀⠀⠀⠀⣾⣉⣿⡄⠀⠀⠀⠀⡇ ⢸⠀⠀⠀⠀⠀⠙⠛⠋⢀⡴⠚⠋⣉⣉⠉⠓⢦⡀⠙⠛⠛⠀⠀⠀⠀⠀⡇ ⠘⣇⠀⠰⢿⣿⣿⠷⠂⣾⠀⠲⠤⠼⠧⠤⠴⠀⢹⠀⠾⣿⣿⡿⠖⠀⣰⠃ ⠀⠙⢦⡀⠀⠀⠀⠀⠀⠘⢦⣀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⠀⠀⢀⡴⠋⠀ ⠀⠀⠀⠉⠳⠤⣄⣀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⣀⣠⠴⠚⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠓⠒⠒⠒⠒⠒⠒⠚⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠖⠒⠲⠶⠶⣦⣶⣛⠛⠛⠛⢒⣺⣟⣀⣀⡀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠈⣩⠿⠋⠀⠀⠀⠀⠀⠀⠉⠛⢷⣤⠾⠛⠉⠉⠉⠉⠉⠉⠉⣿ ⠀⠀⠀⠀⠀⠀⡼⠃⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀⠀⠀⢀⣠⡤⠔⠃⢰⡟ ⠀⠀⠀⠀⠀⢸⠃⢠⡾⠁⡀⠄⢆⠀⣆⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⣠⡿⠁ ⠀⠀⠀⠀⠀⢸⣠⣿⣧⡞⠀⠰⣌⣳⣾⠟⠛⣛⣶⣄⠀⠀⠀⠀⠀⣠⡾⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⢻⣿⠀⠀⢀⡾⢡⠃⡴⠋⠉⠈⠙⣷⡀⠀⢰⡟⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⡇⡇⢸⡇⠀⠀⠀⣠⣿⡇⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣠⠤⣀⣴⡿⡄⠀⠘⣇⢧⠘⣿⣶⠖⠚⢻⣿⠃⠀⢸⡇⠀⠀⠀⠀⠀ ⣀⠀⣈⣳⡍⢧⢸⡇⠀⠈⠑⠤⣈⠊⠳⣜⣻⣦⣴⠟⠁⠀⠀⢸⡇⠀⠀⠀⠀⠀ ⠙⠒⣤⣌⡙⠎⡧⣿⢦⣴⢖⣷⠼⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⢼⡇⠀⠀⠀⠀⠀ ⠀⠛⢦⡤⢴⠒⠷⠌⠳⡤⠟⠒⠲⢄⠀⠀⡄⠀⠀⢠⡄⣰⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠒⠒⠩⠏⣡⠔⠀⠀⠀⢆⡆⠀⠀⢸⡴⠞⠋⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡤⠤⡄⠀⣿⠀⠀⠀⢀⣾⠀⠀⠀⢸⡇⠀⠀⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣇⢯⣋⣀⣿⡀⠀⠀⠈⣙⡻⢹⠀⢸⡇⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⠦⠤⠬⠿⣦⣄⣀⣰⣱⣃⣄⣢⣵⠤⠤⠥⠟⠀⠀⠀⠀⡀⢀⡀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣶⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⡿⣿⣿⣋⣤⣶⡾⠿⠿⠿⢿⣿⣿⣶⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡿⢋⣼⠿⠛⠋⢉⣠⣴⠶⠾⠟⠛⠛⠛⠛⠛⠛⠛⠿⣿⣶⣤⣄⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡿⠋⠀⠋⠁⠀⠀⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣦⡀⠀⣠⣾⣿⣿⠿⠿⠿⢿⣿⣿⣦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣾⣿⡿⠉⠀⠀⠀⠀⠀⠈⢻⣿⣷⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣶⠿⠿⠿⠿⠿⠿⣷⣶⣄⡀⠹⣿⣷⡀⠀⢀⣠⠄⠀⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣦⡘⣿⣷⣴⠋⠀⠀⠀⠀⢰⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡟⠀⠀⢀⣠⣴⡾⠿⠟⠛⠿⠿⣷⣤⣀⠀⠀⠀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣜⣿⣧⡀⠀⠀⠀⠀⣼⣿⡿ ⠀⠀⠀⢀⣠⣶⣾⣿⣶⣶⣿⣿⠇⢀⣴⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⡄⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠶⣶⣄⡀⠀⠀⠀⠈⣿⣿⣿⣇⠀⠀⠀⣴⣿⣿⠇ ⠀⠀⣴⣿⡿⠋⠉⠉⠙⢿⣿⣿⢠⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⡿⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⠀⠀⢈⣿⣷⠀⠀⠀⠀⠈⢿⣿⣿⣤⣤⣾⣿⡿⠃⠀ ⠀⣼⣿⠋⠀⠀⠀⠀⠀⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣄⣀⣤⠞⢻⣿⠀⠀⠀⠀⠀⠸⣿⣿⡿⠿⠟⠋⠀⠀⠀ ⣼⣿⡏⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⢠⡴⠶⢶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣶⡾⠃⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠀⠀⠀⠀⢀⡤⠖⢺⣿⣿⡇⠀⠀⠀⣴⡏⠀⠀⠀⣹⣿⣇⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣄⣀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠀⠀⠀⢠⡏⠀⠀⠀⢿⣿⣇⠀⠀⠀⢿⣷⣤⣤⡾⠛⣿⡏⠀⠀⠀⠀⢀⡴⠛⠉⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡏⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡄⠀⠀⠘⠿⣿⣿⣿⡾⠋⠀⠀⠀⠀⠀⢾⡤⠄⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢿⣿⣦⣄⣀⣀⣠⣴⣾⣿⠿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠘⡄⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠛⠻⠿⠿⠟⠛⠋⠀⠀⠙⢿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢤⣀⣀⣤⠞⠀⠀⠀⠀⠀⢀⣤⣾⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣾⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⣿⣿⣷⣶⣤⣄⣀⣀⣀⠀⢀⣀⣀⣀⣠⣴⣶⣾⣿⡿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⡟⠻⠿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠉⠁⠀⠘⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣧⣴⣶⣿⣿⣿⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣶⣶⣾⣿⣿⠁⠀⠀⠀⠀⠐⣆⠀⠀⠀⠀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⠉⠁⠀⠀⠈⠙⠻⣿⣧⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠿⠛⠉⠀⢠⣿⣿⠇⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠙⠀⢰⡄⠀⠀⠀⠀⠀⠀⠀⢻⣿⣧⠀⠀⠀⠀⠀⠀⠙⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠁⠀⠀⠀⢀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣼⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⣰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡀⠀⠀⠀⠀⢀⣿⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⠀⠀⢠⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⢀⣾⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣦⡀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⣼⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⠀⠀⢀⣠⣾⣿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣿⣿⣿⣿⣦⣌⣻⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣇⣸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣣⣤⣶⣿⣿⣿⣧⣤⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣶⠟⠋⠉⣀⣠⠍⠛⠿⢿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⡿⠟⠛⠉⠁⠀⢀⠀⠉⠛⢿⣦⡀⠀ ⠀⠀⠀⠀⠀⠀⢸⣷⣶⣶⠟⢉⣤⡞⠃⣴⣿⠛⣉⣤⣤⡾⠉⠉⣩⡉⠉⣹⣯⣄⣀⣠⣽⣿⠉⢛⣿⡛⠛⢻⠛⠉⢉⣭⣙⠻⣿⣶⡄⠀⢲⣄⡈⠙⠻⣶⡶⠿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⡾⣿⡏⣠⣾⠟⠿⠿⣻⡿⠃⢀⣤⣾⡟⠁⣠⣿⠟⠛⠛⠛⠛⠿⠾⠿⠛⢿⣦⣈⠻⣶⣤⣈⠛⢿⣿⠛⠻⣦⣀⣻⡿⠷⣦⣼⡧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠻⡿⠟⠁⠀⠀⠀⠻⣷⣶⠿⠋⢿⣧⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠷⠿⠏⠉⠛⠛⠋⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⢀⠀⠀⠀
⠀⢠⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡏⠀⠀⠈⣷⡞⠛⠲⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢦⡀⠀⠀⠀⢀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠸⣟⠒⣤⣄⡀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⠤⠤⠤⢤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⡄⢀⡔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣁⣤⠟⠙⣲⠶⣶⡚⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠓⠒⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠿⠃⠀⠀⠀⠀⣠⠾⠶⣄⠀⠀⠀⠀⠀⠀⠉⣳⡶⣞⡡⠴⠚⣽⠷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠛⡇⠀⢀⣸⠂⠀⠀⠀⠀⣠⡾⠋⠀⠈⠛⢶⣋⣁⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⣤⣀⣀⣀⣀⡏⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⣠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⣠⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣁⣀⣴⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠋⣁⡘⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠒⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠰⣿⣿⣾⣛⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣧⣤⣤⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣝⣿⣿⠇⣿⠀⠀⣴⡆⠀⠀⠀⠀⢠⣶⠄⠀⢹⠡⣿⣿⠿⣿⣻⠅⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣽⢉⣴⠃⠀⠀⠹⣿⣄⡀⢀⣤⣿⠟⠀⠀⠸⣇⠹⣶⣿⣽⣻⠅⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣟⠒⠚⠋⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠁⠀⠀⠀⠀⠙⠳⠶⢭⣻⣥⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠞⠋⠀⠀⠹⣄⠀⠀⢀⣴⠖⠒⠋⠙⠒⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠠⣄⠀⠀⠀⠀⠀⠀⠒⢦⣄⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣰⠟⢧⣠⠏⠀⠀⠀⠀⠀⠀⠀⠈⠹⣦⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠈⠳⣾⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⠤⠴⠛⠁⠀⠀⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠘⣦⡀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⡟⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠙⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠉⠳⣦⡀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣳⢤⣤⣀⣀⣀⣠⠶⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠙⢦⡀⠀⢰⡇⢸⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠀⠀⠀⠀⠀⠀⠀⠉⠲⡟⢠⡏⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠷⣤⣤⠴⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡤⠤⠤⠤⠶⠒⠚⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⣠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣀⣠⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣾⣿⡿⠿⠟⠛⠉⠉⠙⠛⠻⠿⣿⣷⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠛⠁⠀⠀⠀⣀⣤⣤⣿⡆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠋⠀⠀⠀⠀⠠⣾⠟⠋⠁⠋⠀⣼⣷⣀⠀⠀⠀⠀⠀⠀⠀⢶⡄⢨⡙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢶⣿⢿⣿⣿⣇⣀⠀⠀⠀⠀⠀⠀⠹⢿⣷⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⠿⠿⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⢿⣶⣤⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣿⡿⠟⠁⡀⠀⠀⠀⠀⢀⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠛⠉⠁⠈⢉⣻⣆⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⠏⠀⠀⠀⢻⡆⠀⢀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢠⡟⠀⣶⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⠀⢸⣿⣀⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡖⠀⢀⣴⠋⠀⠀⠀⠘⣧⣄⣙⢛⣻⣿⣿⣿⣿⣷⠀ ⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⢸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣶⣶⠟⠁⠀⠀⠀⠀⠀⠈⠙⠛⢿⣿⣿⣿⣿⣿⣿⠃ ⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⠁⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⡏⠀ ⠀⠀⠀⠀⣸⣿⠁⠀⠀⠀⠀⠀⠇⢻⣿⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⡟⠀⠀ ⠀⠀⠀⣰⣿⠃⣠⠀⠀⠀⠀⠀⠀⢸⣿⡿⠀⢠⠀⠀⠀⠀⠀⠀⢸⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣿⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⣰⣿⠃⣼⠁⠀⠀⠀⠀⠀⠀⠘⣿⣷⣤⣿⣀⣴⠆⠀⠀⠀⣿⣤⣤⣄⣄⣀⣀⣀⣀⠀⣠⣴⡶⢛⠛⠛⠛⠛⠋⠉⠻⣷⡄⠀⠀⠀ ⠀⣰⣿⠃⣸⡇⡼⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⣆⠀⠀⢻⣿⣿⣿⣿⣯⣉⠙⠛⠙⠿⣁⣠⡾⢷⣤⡀⠀⠀⠀⠀⢸⣿⠀⠀⠀ ⢰⣿⣏⣴⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣷⣾⣿⡆⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣦⠽⢿⣦⣤⣀⣀⣾⠏⠀⠀⠀ ⠘⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠈⠙⠻⠿⠿⠿⠿⠿⣿⣿⣯⠴⠚⠿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀ ⠀⠈⠻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠉⠀⠀⠀⠈⠉⢉⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡟⠉⠀⠀⢠⣾⣿⣿⣿⣿⣷⣶⣦⣤⣤⣤⣤⣴⣷⣴⡾⠟⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣿⣶⣤⣀⣀⣀⣀⣠⣾⣿⣿⣿⣿⡿⠀⠀⠀⠀⠉⢸⣿⢿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⢿⣿⣿⣿⠿⠟⠻⣿⣿⣿⠇⠀⠀⡀⠀⠀⡿⠁⢸⣿⡟⢿⡏⠀⠘⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡄⠀⣼⠁⡄⢀⡇⠀⢸⣿⡇⢸⣇⠀⠀⢸⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣾⠏⣰⡇⠈⠀⠀⢸⣿⣧⡀⢿⠀⠀⣼⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣾⠇⣠⣿⡇⠀⠀⠀⣼⡏⣿⠃⠀⠀⣰⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣿⣿⣿⣷⣄⡀⠀⣿⡇⠸⡇⠀⢠⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⣠⣿⠿⠙⣿⣇⢰⣿⣇⠀⠀⢀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠉⠀⠀⣿⣿⣿⣿⣿⡀⠀⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠋⠛⢹⣧⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠟⠁⠀⠀⠀⢻⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⡶⠾⠛⠛⠛⠛⠛⠉⠛⠛⠛⠛⠷⢶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠟⠛⠛⠻⢯⡙⠓⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠋⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⢀⣠⣴⣶⣶⣶⣤⡀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣿⣿⣿⣿⣏⢈⡿⠿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠈⣿⣿⣿⣿⣿⣿⠁⠀⢸⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⣿⣿⣿⣿⣿⣿⣧⣠⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣶⣶⣶⣦⣤⣄⠀⠀⠀⠻⣦⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⣌⣻⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠿⣿⠉⣻⣿⣶⣾⣟⡉⡟⢻⣦⡀⠀⠘⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀ ⠀⠀⠀⠀⠀⠀⣠⣿⠋⠀⢀⡼⣿⠁⠀⠀⠀⠀⢹⣷⡄⠙⣷⡀⠀⠈⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠋⠀⠀ ⠀⠀⠀⠀⠀⣰⣟⣉⠛⠳⠟⠁⠹⣄⣀⣀⣀⣀⡼⢃⣉⣫⢽⣧⠀⠀⠀⢻⣇⠀⠀⠀⠰⣄⣀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⢸⡿⠉⠉⠙⣶⠂⣀⣀⡤⠿⠿⠿⠧⣄⣸⡁⠀⠀⢹⡇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠉⠛⣷⠶⣤⣄⣀⣈⣷⣄⡀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣴⡶⠾⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠁⠀⠀⠀⡿⠀⡟⠁⠀⠀⠀⠀⠀⠸⡟⣧⡀⠀⣸⣿⣴⣤⣤⡿⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠉⠉⠉⠉⠛⠛⠿⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⣿⣤⣄⣀⣼⠃⠀⣇⠀⠀⠀⠀⠀⠀⠀⣷⠈⠛⠛⣻⣟⠁⢈⣿⠃⠀⠀⠀⠀⢠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⣾⣏⡽⠻⣦⣏⣀⡀⠀⠙⠦⣤⣤⣤⣤⠶⠛⠉⢀⣤⠞⠋⠙⣷⠞⠁⠀⠀⠀⣠⡶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣶⡾⠿⣧⣤⡏⠀⢉⡟⠛⢷⡶⠶⢤⡾⠶⢶⡾⠛⠉⢷⣀⣤⠞⠁⠀⠀⢀⣤⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠷⢦⣼⠋⠛⠶⢼⣄⣀⣸⣁⡀⢸⣅⣀⣸⣧⣠⡴⠾⠋⠁⠀⠀⠀⣴⡿⠉⠻⣷⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⡟⠀⠀⠀⠀⠈⣿⣯⣝⣋⣉⣩⣭⣍⣹⡄⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⣶⣿⡿⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⡿⠁⠀⠀⠀⠀⢀⡟⠛⠒⣶⠿⠿⠿⠿⢿⣧⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⣻⠋⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⠃⠀⠀⠀⠀⠀⢸⡇⠀⣤⣿⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⣈⣿⡻⢶⣿⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢻⣿⣟⣷⡟⣾⣟⣻⣿⣴⣷⣿⠇⠀⠀⠀⠸⣧⡀⠀⣼⢦⣠⢶⣿⣽⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠉⠛⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠾⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⠠⠄⠀⠀⠄⠄⠊⠉⠐⢄⠀⠀ ⢀⠔⠈⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⡐⠉⠐⢠⠀ ⠎⠔⠁⠈⡆⠠⠂⠀⠀⠀⠀⠀⠀⣤⡔⡀⠀⢀⠃ ⠀⠀⠀⠀⢃⢠⣶⢦⡀⣠⡶⢦⢸⣷⡇⢃⠀⡸⠀ ⠳⡀⡀⠀⡌⠘⣿⣟⡷⣿⡇⠘⣇⠉⠁⠸⠔⠁⠀ ⠀⠈⠣⠀⢡⣀⡀⠉⡠⢿⣷⣴⡯⢃⠤⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠐⠐⠐⠰⢍⡱⠎⠁⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠜⠢⠄⠤⣀⠏⢴⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠠⣀⠈⠀⠀⠀⠂⠐⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⣎⡠⠄⠓⠀⠠⠔⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⣭⣛⠻⠷⣦⣄⣀⠀⠀⢹⣿⣦⡀⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣶⣦⣤⣄⣀⣀⡀⠀⢀⣀⣀⣉⣹⣷⣶⣍⣉⠳⠶⣌⣿⡙⢷⣼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣶⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡏⠳⡌⠉⠉⠉⣿⣿⣯⣭⣭⣤⣤⣴⢾⠍⠉⠉⠀⠈⠙⠷⣌⠻⣿⣷⡄⠀⠀⢀⣀⣤⣤⣶⡶⠾⠛⣻⠏⣿⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠹⡄⠀⠀⠀⠀⢀⡴⣛⣭⠵⣛⣠⣤⠇⠀⠀⠀⠀⠀⠈⠓⠦⡙⢿⣶⠟⠛⠋⠉⠀⠀⠀⢀⡞⠁⠀⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢹⡄⠀⢀⣴⢿⣿⣿⠞⣫⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣄⠀⠀⠀⠀⢠⠟⠀⠀⢰⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢷⣠⠟⢁⡾⠋⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠷⡀⠀⢀⣟⡀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⢐⣾⠟⠀⠋⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢥⡀⢈⡯⠤⠀⠀⣸⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⡛⠀⠀⢠⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⢷⣇⠀⠀⣼⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣾⡇⢰⠶⢶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠿⠿⢿⣿⣿⣷⣄⠀⠀⠀⠀⠈⣿⠀⣼⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠘⣆⣿⠉⠙⣷⡄⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠁⠀⠀⠀⣻⣿⣿⣿⣦⠀⠀⠀⠀⢻⣶⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠉⣿⣄⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣦⣀⣀⣴⣿⣿⣿⣿⣿⡆⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢻⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠘⠟⣿⣿⢿⣿⣿⣿⣿⡿⠙⣿⡇⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⢿⡌⠋⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠙⢿⣿⠧⠀⠀⣿⠇⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠈⣿⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⣄⠀⠀⠀⢀⣼⠟⠀⠀⠀⠀⠀⠳⣽⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡞⠀⠀⠀⠀⠀⠑⠛⠀⠀⠀⠰⣶⠶⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠚⠛⠁⠀⠀⠀⠀⠀⠀⢦⢻⡿⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢻⠃⠀⠀⠀⠀⠀⠐⠋⢁⡄⠀⢀⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣷⠈⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⣿⢀⣤⣶⣶⣖⣂⣀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤⣙⠻⣿⣦⡀⣿⣿⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠏⠻⠟⠉⣩⣽⣟⠛⠷⠦⢤⣀⣀⠀⠀⠀⠀⠀⢀⡠⠤⠶⠛⠋⠉⠀⠺⢽⣿⢮⣙⠻⠇⠹⣿⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢠⡾⣿⣿⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⡿⣟⠃⠀⠀⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣰⣿⣧⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡙⣆⠹⣾⣷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣷⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡌⢷⣝⣟⢿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⠋⠁⠘⢻⢻⣧⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡌⣿⢿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠟⠉⠀⠀⠀⠀⠈⠃⠙⠷⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⢸⡎⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⠯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠳⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢻⠿⣾⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠈⠛⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⢰⠂⣼⠋⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣄⠀⣆⠀⣸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣄⣀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠀⠀⠀⢀⣴⢿⠾⡇⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠴⣶⣦⢬⣿⣷⣿⣤⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣖⣂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠛⠉⢀⣼⠁⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣴⡶⣟⣓⠛⠛⠉⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠈⠁⠀⠀⢀⣾⡟⠀⠀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣫⢿⡛⠉⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢰⣿⠋⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⣿⠟⠋⠀⠀⠀⠀⠀⠀⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⢀⣠⡴⠛⠁⠀⠀⣰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡟⣡⡴⠊⠀⠀⠀⠀⡴⠶⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠹⣧⠀⠀⠀⠀⠀⠀⠀⣿⢶⣿⡉⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣾⣾⠟⠁⠀⠀⠀⠀⠔⠁⠀⠀⠘⠳⣦⣄⣀⣀⣀⣀⣀⣤⠄⠀⠀⠀⢰⡿⠀⠀⠻⣧⠀⠀⠀⠀⠀⠀⢸⡟⢻⡇⠀⠀⠀⠀⣾⠷⠶⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣹⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⣛⣻⣯⣤⣄⠀⠀⣠⡟⠀⠀⠀⠀⠹⣦⡀⠀⠀⠀⠀⠈⢿⡜⣧⠀⠀⠀⢀⣻⣦⣀⢳⡽⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⢿⣿⣉⠛⠛⠛⠛⠛⠛⣿⣷⣄⠀⠀⠀⣠⡼⢿⡻⣷⡀⠀⠈⢤⠹⡿⣾⡷⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⡾⣼⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⠷⣦⣀⣀⣳⡀⢻⢿⡿⣷⣴⣋⠀⢻⣄⣹⣾⠧⠤⠴⠾⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣀⣿⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠻⠿⣷⡾⠛⠁⠀⠉⠙⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠙⠿⡝⣾⣦⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠺⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠈⠛⠻⠷⣤⣄⣤⣀⡀⠀⠀⣄⠀⢠⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⡻⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠚⠿⢦⣝⣷⣮⣿⣦⣤⣠⢤⣀⠀⠀⢠⣄⡀⠀⠀⠙⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠈⠉⠛⢊⡙⠻⢍⡛⠿⠝⠳⠶⠬⣽⣿⡶⠶⠶⡽⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⣄⣀⢀⣠⣴⣶⣾⡿⠿⠶⠶⢶⣶⣶⣶⣶⣶⣶⣶⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⠿⠛⠛⠋⠉⠉⠉⠉⠉⠛⠛⠻⠿⣿⣿⣿⣿⣿⣭⡁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣥⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠿⠿⣿⣶⣶⣶⠶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⣿⣿⣷⣤⡀⠀⣀⣴⣶⣿⣿⠿⠛⠛⠛⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⡿⢿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣾⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡤⠀⠀⢸⣿⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⠿⠋⠀⠀⢀⣿⣿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⣀⣴⡾⠉⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⠟⠛⠉⠀⠀⠀⠀⠀⢀⣾⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⢠⣾⣿⠏⠀⠀⢀⣀⠄⠀⢸⣆⠀⠀⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⣰⣿⣿⡟⠀⣠⣾⠟⠁⢠⠀⠘⢿⣆⠀⠈⢻⣦⣀⣀⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠺⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⢠⣿⣿⣿⠇⣼⡿⠁⠀⠀⠈⢷⡄⠈⠻⣿⣶⣾⣿⣿⠿⠛⠛⠛⠿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣿⡟⣿⣿⣼⣿⠃⠀⠀⠀⠀⠈⠻⣷⣾⡿⢛⣵⠋⠁⠀⣠⣴⣾⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣼⣿⠏⢀⡿⠁⠀⣰⣿⠟⠉⠀⠀⠀⠀⠈⠹⣿⣿⡄⠀⠀⠀⠀⠀⢿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠹⣿⣿⠁⠀⠀⠀⠀⠀⣸⣿⡏⢀⡾⠀⠀⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⡀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀⠀⠀⠀⣿⡿⠀⢸⡇⠀⢰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⣿⣇⠀⣾⡇⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⢀⣾⣿⣇⠀⠀⠀⠀⠀⢿⣿⡀⢹⡇⠀⠘⣿⣿⣦⣤⣀⣀⡤⠶⠿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣶⣶⣦⣼⣟⠛⠶⣤⣀⣴⣿⣿⠏⢹⣧⡀⠀⠀⠀⠈⣿⣧⠸⣷⡀⠀⢻⣿⣿⣿⡟⠉⠀⠀⠀⠈⣿⣿⣿⡟⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣧⡉⠛⣿⣦⡀⠈⣿⣿⡏⠀⠀⠊⠈⠻⢦⣄⠀⠀⠈⠻⣦⠘⣿⣄⠀⠹⣿⣿⣧⠀⠀⠀⣀⣴⣿⣿⠋⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣤⣤⣤⣤⣤⣤⡈⢿⣦⠀⠻⣷⡀⢻⣿⡇⠀⠀⠀⠀⠀⠀⣍⡛⠶⣤⡀⠈⠁⠈⠛⢷⣦⣬⣙⡻⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⣷⣄⡀⠀⠀⠉⠉⠻⢿⣷⡀⠹⣷⠀⢿⣿⣆⠀⠀⠀⢀⣀⣠⡇⠀⠈⠹⡇⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⠛⠿⠷⣶⣤⣀⡀⠉⠳⠀⣟⠻⣾⣟⢿⣿⣦⣾⡿⠛⢛⣿⣿⡿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⠾⡛⠛⠉⠉⠙⠛⠃⠀⠀⢿⡀⠘⢿⣧⣀⠈⠉⠛⣶⣿⣋⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠛⠻⠿⢶⣶⠤⣾⠟⠛⠻⠾⠿⣦⣄⠙⠻⠷⣤⡾⠟⠛⠛⠛⠛⠻⢶⣄⠀⠀⠀⠀⠰⣄⠀⠀⠀⠀⠀⠀⢠⣷⠀⠀⣠⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⡏⠁⠀⢘⣻⣶⣤⣤⣤⠤⠈⠁⠀⣰⠋⠀⠀⠀⣀⡀⠀⠀⠀⣙⠀⠀⠀⠀⠀⢿⡆⠀⠀⢀⣠⣴⡿⣿⣆⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠛⠒⠛⠛⠉⠉⣽⣏⡀⣀⣀⣴⡞⠁⠀⠀⠀⠀⠈⠙⢷⡆⣴⠏⠀⠀⠀⠀⠀⢸⣇⣤⣶⡿⠟⠋⠀⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢹⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀⣸⣿⡏⠁⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣤⣴⣤⡀⠀⠀⠀⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠀⠀⠀⢫⣿⡇⠀⠀⠀⠀⠀⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⡟⠉⠀⠛⢿⡄⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣀⣠⣤⣄⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⢿⣿⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡇⢸⣟⠻⢿⠇⠀⠀⢻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡽⠿⣯⣈⣽⡆⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠘⣿⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣿⣄⠙⠷⠶⢤⣤⣤⣼⣿⣷⡄⠀⠀⠀⠀⠀⠀⢀⡼⢧⣤⠟⠀⣾⠃⠀⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⢻⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣤⣤⣀⣀⣀⣀⣈⣻⣿⣦⣄⠀⠀⠀⠀⠈⠀⢠⠇⢀⣾⠏⢀⠀⠀⣄⠈⢻⣷⠀⠀⠀⠀⠙⣆⣈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢛⠛⠛⠛⠛⠛⠛⠛⢻⡿⣿⣶⣦⣤⣤⣤⣼⣤⣾⣧⣤⣬⣧⣤⣾⣶⣾⡿⠿⠿⠟⠛⡛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⡀⠀⠀⣀⣀⢀⡀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡏⢀⡈⠉⢹⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠁⢉⡷⠋⠀⠀⢿⠛⠛⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⢿⣿⣄⡟⠀⠀⠀⠀⠈⣧⣾⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣷⣄⠈⢹⠁⠀⠀⣆⠀⠀⢹⠀⠀⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣠⠶⢶⣾⠋⠉⠹⣿⡿⠓⣶⣦⣄⣀⣀⣠⠤⠤⠤⣄⣙⣆⠈⠙⠲⠤⣄⣀⣀⣠⣤⣶⣶⡿⠙⠛⠿⠷⠾⡀⠀⠀⢿⣇⠀⣸⢰⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢺⡟⠀⢠⠽⠒⠒⠦⢯⣀⡠⠿⠛⠁⠘⣿⣤⣀⣀⠀⣀⠀⠈⠙⠓⠂⠀⠀⣹⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠁⠀⠀⠛⢮⣀⡟⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣷⣶⡟⡇⠀⠀⠀⠀⠈⠙⢦⡀⠀⣼⣿⣿⡯⠛⠋⣹⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢶⣤⣾⣧⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠋⠀⢳⡀⠠⢶⣒⠀⠀⠀⢻⡎⠉⣴⠋⠀⢀⡼⠁⠀⡀⠀⠀⠀⠀⠀⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣷⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⣦⣴⡇⠻⣄⠘⢧⣿⢂⠀⠀⠁⣼⠁⠀⣠⣟⣀⣠⠞⠀⠀⠀⠀⠀⠀⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣴⣾⣿⣿⣿⣿⣯⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⣿⠇⠀⠙⡳⣤⡿⠋⠀⠀⠀⠘⡶⠚⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⣶⣶⣶⣤⣄⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⣹⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢶⣤⣾⡇⠀⠀⠀⠀⠀⠀⣀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡿⠟⠉⠉⢀⣀⣠⣬⣀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⡇⠀⠀⠀⢀⣴⣿⠿⠿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠟⠉⠀⣠⣶⣿⣿⡿⠿⠛⠛⠻⢦⣄⣀⣤⣾⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢉⣀⣠⣤⣤⣀⣀⠉⠙⠳⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣠⣾⠟⠋⠁⠀⣀⣠⣤⣤⣤⣀⣠⡍⠛⠿⠿⣿⣿⣿⠿⠿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⢠⣾⠿⠟⠛⠛⠻⠿⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢀⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡄⠠⣿⠀⢀⣠⣤⣤⣤⣤⡀⠈⠙⠢⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⣠⣿⣿⡿⠋⠉⠙⣿⣿⡿⠻⣿⣿⠀⠀⠀⠀⢀⣴⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⣽⣿⣿⣿⣿⣿⠿⠿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡏⠀⠀⠀⢠⣿⡏⠀⠀⢹⣿⠀⣠⣴⣾⣿⣿⣿⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠸⣿⣿⣿⡟⠀⠀⠀⠈⣿⠟⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⣿⡏⢻⣷⣦⣤⣾⣿⣿⡇⠀⠀⢸⣿⠀⠀⠀⠀⠉⠀⠀⠀⣈⣻⣶⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡦⢻⡇⢹⣿⣦⣤⣤⣾⣟⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⢻⡇⠈⢿⣿⣿⣿⣿⣿⣿⣦⣄⣼⡿⠀⢠⣀⣤⣤⣴⣶⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⣿⡀⠻⣿⣿⣿⣿⣿⡄⠀⣟⡟⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠈⠻⢿⣿⣿⣿⣿⡿⣿⡿⠁⠀⠀⠈⠙⠛⠿⠿⣿⢿⣿⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣀⣈⢷⡀⠙⠻⣿⣿⣿⣿⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠤⣤⣤⣩⣭⣵⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⢄⡉⠻⡏⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⠀⠙⠶⢦⣄⣉⣉⣡⠤⠖⠀⠀⢀⣠⠤⢤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡈⠳⢤⣀⣨⠟⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠾⡿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣙⣳⣏⣠⣟⡦⢄⠀⠀⠀⠀⠀⠀⢀⣀⣠⠤⠤⠿⠒⠒⠛⠒⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣖⣀⣤⠀⠀⠀⠀⠀⠀⠀⢺⠝⠛⠋⠉⠁⠀⠉⠉⠙⠺⠁⠀⠀⠀⠀⠀⠈⠉⣻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣴⣢⢴⡶⣆⣀⡤⠶⠒⢻⠗⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡟⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⡾⠟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠋⠀⢠⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⡼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠋⠉⠀⠀⣠⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣬⣽⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠠⣾⣿⣿⣿⠟⠁⣷⠀⠀⠀⢀⣤⣶⡶⢶⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠘⢾⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣤⣤⣤⡄⠀⠀⣀⣤⣿⡆⠀⠀⠘⣮⣿⠷⢿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡶⠊⢳⡀⠈⠳⡄⠀⠀⠀⠀⠀⠀⢀⠀⣿⣿⠟⠋⠁⢰⣾⣿⣿⣿⠁⣀⣠⠶⠿⠿⠿⠀⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣵⠂⠀⠀⠀⠢⣄⡗⢛⠉⢀⡀⠀⠀⡸⢀⢿⡛⠛⠂⠀⠀⠀⠀⢀⠟⣿⡇⠘⣷⣦⣤⠴⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠤⠤⠤⠤⠖⢿⡀⣇⠀⢸⠀⠀⢠⠗⢻⣸⠁⣾⠁⠀⠀⢀⣠⠟⠉⠙⠛⠊⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠚⠋⠉⠁⠀⠀⠈⠙⠚⠒⠞⢋⠽⠦⠶⠶⠶⢶⠆⢶⠤⠤⡤⠀⠀⠄⠀⢤⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠐⠒⠒⠒⠤⠶⠤⠶⠒⠚⠦⠶⠴⠴⠄⠠⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠴⠒⠛⠛⠛⠛⠳⢶⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢋⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⣡⣛⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠛⠒⠦⣄⠀⠀⢠⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⢠⡟⠉⠀⣈⣷⡄⠀⠀⠀⠀⠀⠀⠀⢠⠇⣀⣀⠀⠀⠀⠙⢦⡘⡆⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⡏⠀⠀⣼⡿⣿⣿⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣦⣀⠀⠀⠻⡽⡄⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⢰⡇⠀⣰⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⢀⣿⣏⣻⣿⣿⣿⣿⣧⠀⠀⢱⡼⣄⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⢷⡀⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣼⡆⠀⠀⢣⠈⣦⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠈⢻⢿⡹⣯⣽⡿⠃⠀⠀⠀⠀⠀⠘⣿⣝⡿⢿⠿⢟⡵⢿⡇⠀⠀⢸⠀⠘⣇⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⢠⣧⡼⠷⠤⠿⢃⣤⣄⣀⠀⠀⠀⠀⠘⢯⣝⠛⠛⠋⢀⡞⠀⠀⠀⠘⡇⠀⡽⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⢸⡇⠀⠀⣀⣠⣿⣍⣙⣋⣿⣿⣷⡄⠀⠀⠉⠛⠲⠾⢥⣀⡀⠀⠀⢸⠃⣸⠇⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠘⢧⣾⣻⢛⠃⠹⣿⣿⣿⣿⡿⠋⠀⣞⡆⠀⠀⠀⠀⠀⠀⠙⣦⠀⡼⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀⠀⠈⠷⣝⣯⠿⠀⠈⠹⡟⠁⠀⠀⣤⣄⠡⣏⣷⠀⠀⠀⠀⢀⣿⡼⢡⠇⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣤⣀⠀⠀⠀⣠⠽⠋⣩⠟⠻⣧⣀⣀⣀⣽⣯⡤⠤⣤⣤⣠⡤⢴⡟⠋⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⢰⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⡿⠋⠁⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢀⡄⠀⠹⢦⡀⠀⠙⢦⣀⡀⢀⣀⡴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠚⠁⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⢸⠁⠀⠀⠀⢻⠙⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢴⡿⠋⠀⢀⣀⣀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡞⣆⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠋⠀⠘⣇⢠⠞⠉⠀⠀⠉⠳⣦⡀⠀⠀⠀⠀⣀⡤⠤⠤⠤⢄⡀⢀⡟⠀⠙⢦⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠸⡏⠀⠀⠀⠀⠀⠀⠀⠻⡀⠀⢠⠞⠉⠀⠀⠀⠀⠀⠹⣞⠀⠀⠀⠈⢳⡀⠀⠀⠀⠙⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠦⠤⠤⠿⡆⠀⠀⠀⠀⠀⠀⠀⢳⡀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠈⡧⠀⠀⠀⠀⢀⣹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⢸⡇⣿⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⢰⠃⢀⣀⣤⠞⠉⠁⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⣀⠀⠀⠀⣼⠟⠙⡆⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⢠⡞⠋⠁⠀⠀⠀⠀⠀⢰⠇⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠙⢆⣀⠀⢀⣠⣋⣀⣀⣀⣀⣀⣠⠷⠶⢤⣀⣀⣀⠀⠀⣼⣀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⡤⣤⣤⣤⡤⣤⣤⢤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠀⠀⢀⠁⣀⡁⠀⠈⡉⡋⡍⣁⢉⡉⢉⠋⡉⠉⠉⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣶⡶⠶⠿⠿⠿⠿⠿⠷⠶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⢷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠶⠶⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡞⠉⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⡿⠋⠀⣀⣤⠔⠚⠋⠉⠀⠀⠀⠀⠈⠉⠙⠓⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⠋⣀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣶⡇⡇⠀⠀⠀⠀⠀⠀⠀⠙⠷⢦⣤⣀⣀⣀⣤⡾⠉⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢧⡀⠀⠀⠀⢀⣠⡴⢤⣿⡀⠀⠀⠀⠀⠀⠀ ⢠⡾⠁⠀⣧⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠋⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⣠⠟⠁⠀⠀⠈⠙⠳⣦⡀⠀⠀⠀ ⣸⠁⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣾⣝⠻⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣰⠏⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⠀⠀ ⣿⠀⠀⠀⠀⠈⠻⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄⠀⠀⣸⣿⣿⣿⣿⣿⡟⠉⢳⣌⠻⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀ ⢹⡆⠀⠀⠀⠀⠀⠀⠈⠙⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢦⣤⣿⣿⣿⣿⣿⣿⣧⡀⣠⣿⡄⠹⡞⢷⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆ ⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢹⡘⣷⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹ ⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⠶⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡇⢹⡀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸ ⠀⠀⠀⠉⠻⢶⣤⣀⣀⣀⣀⣤⠴⠚⠁⠀⠀⣀⠀⠀⠀⡀⠀⠀⠀⢠⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⢸⠇⠘⡇⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣉⠉⠁⠀⠀⠀⢀⣤⠞⠁⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠈⢻⣶⣭⡛⠛⠛⠛⠋⠁⢀⡴⠋⠀⣼⠃⠀⠀⡄⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠶⠶⠶⢚⡟⠁⠀⠀⠀⣰⢿⡇⣴⠋⠀⠀⠀⠀⠀⠀⠉⠳⣭⣉⠉⠐⠉⣉⣁⣠⡴⠞⠋⠀⢀⣸⠃⠀⣠⡼⠋⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⡼ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⣠⡾⠃⢸⡟⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠁⠀⠲⠶⠶⠞⠛⢿⠋⢯⡀⠀⠀⠀⠀⣠⠶⠋⠉⠙⢷⡀⠀⣠⡾⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠓⠚⠛⠁⠀⠀⣾⠀⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠙⠓⠦⠖⠛⠁⠀⠀⠀⢠⡟⠙⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣴⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⣀⡴⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠶⣶⡴⠶⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⣠⡿⣦⣀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⢶⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠈⢹⡷⠶⠶⠶⠶⠶⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⢣⠀⠀⠀⠀⠀⠀⠙⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⢹⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⣠⠼⠃⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⡀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⣼⠇⠀⠀⠀⠀ ⠀⠀⠀⣠⡶⠟⠉⠉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣧⡀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣷⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠁⣿⠋⠀⠀⠀⠀⠀ ⠀⠀⣼⠏⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠙⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀ ⠀⢰⡟⠀⠀⠀⠀⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠙⠷⣄⣀⣀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢻⣇⣀⣴⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠦⣄⣀⣀⣀⣀⣼⣧⠀⠀⠀⠀⠉⠉⠉⠉⠉⠳⠆⠀⠀⠀⠀⠀⠀⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠈⠓⢦⣤⣀⣀⣀⡀⠀⠀⣀⣀⣀⣤⣤⡤⠖⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠔⠀⠀⠀⠀⠀⠉⣿⡋⠉⠉⠉⠁⠀⠀⠀⠀⣠⠀⠀⠀⠀⢀⣀⣀⣤⣴⡾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣆⠉⠛⠳⠶⠶⠤⠤⠶⠶⠶⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⣰⡿⠶⠶⠿⣿⣟⠛⠉⠁⢀⣴⠟⠀⠀⠀⠀⣀⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠆⠀⣀⣀⠀⠀⢀⣤⠶⠛⣿⣦⣤⣤⣤⡴⠚⠁⠀⠀⠀⠀⠈⠉⢿⠖⠚⢿⡉⠀⠀⠀⢀⡴⠉⠀⠈⠙⠳⣦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠻⣷⣦⣤⡤⠤⠖⠚⠋⠁⢀⣴⠟⠉⠉⠛⢿⣏⡀⠀⣠⡿⠀⠀⣼⣁⡴⠾⢦⡀⢸⠛⠛⠳⢦⡾⠀⠀⠈⠛⢦⣤⡴⠋⢀⡴⠚⠓⢦⡀⠈⠻⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⠶⠤⣤⣤⠤⣶⡟⠁⢀⡴⠒⠶⠤⠈⠉⠉⠁⠀⠀⠀⠈⠉⠀⠀⠈⡇⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⣠⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠇⠀⠻⣤⣀⣀⣤⣤⡤⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣨⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣏⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠛⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠲⠤⣤⣤⣤⠤⠞⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣦⣤⣤⣴⠶⠚⠉⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠹⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⡀⠈⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠏⠀⡀⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⢠⣧⡀⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠋⠀⣰⣧⠀⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⢀⣿⣿⣷⡀⠈⢿⣧⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⢰⣿⠃⠀⣸⣿⣿⡆⠀⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⣼⣿⣿⣿⣷⣠⣬⣿⣶⠾⠿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠿⠿⣶⣿⣧⣄⣰⣿⣿⣿⣿⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⢀⣿⣿⣿⡿⠟⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⣿⣿⣿⣧⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣴⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣶⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣷⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⣠⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀ ⠀⠀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⡀⠀ ⠀⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀ ⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧ ⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡏⠉⢹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⠁⠉⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣶⣿⣿⣿⠃⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣷⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⡿⠋⠀⠀⢀⣤⣶⡿⠿⠛⠉⠉⠉⠉⠉⠙⠻⠿⣷⣦⣀⠀⠀⠈⠻⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⣴⡿⠋⠁⠀⠀⠀⠀⣶⣶⣶⡆⠀⠀⠀⠀⠙⢿⣷⡄⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠸⣿⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⣼⡿⠁⠀⣤⣄⠀⠀⠀⢹⣿⡟⠀⠀⠀⢀⣤⡀⠀⠹⣿⠀⠀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⣾⡟ ⠀⢿⣧⠀⠀⠀⠈⠻⠿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⣿⡇⠀⠀⠙⠛⠿⠶⠶⠿⠛⠻⠷⠶⠾⠟⠋⠀⠀⠀⣿⠇⠀⠘⠿⢿⣿⣿⣿⣿⣿⡿⠿⠃⠀⠀⠀⣴⣿⠁ ⠀⠘⢿⣦⡀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀ ⠀⠀⠈⠻⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢷⣶⣶⣤⣤⣤⣴⣶⣶⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⢷⣶⣦⣤⣤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣶⣶⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠛⠻⠿⠿⠿⢶⣶⣶⣶⣶⣶⠶⠾⠿⠿⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠿⣷⠄⠀⢀⣀⣤⠴⠖⠒⠛⠛⠛⠛⠛⠓⠶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠛⠁⠀⢠⣿⣴⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠠⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠛⠲⢦⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠈⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡶⠶⠾⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣀⠀⠙⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⢀⣤⠶⠛⠋⠉⠉⠙⠓⠶⢤⣄⡀⠀⠀⠀⠀⣀⣤⡾⠛⠉⠉⠉⠉⠙⠻⣦⡘⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢀⡼⠋⣠⡶⠶⠄⠀⠀⠀⠀⠀⠀⠈⠙⠳⠶⠶⠿⠛⠁⠀⠀⠀⠈⠓⢶⡀⠀⠘⣷⣻⡛⠳⢦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠛⠓⣾⠁⢀⡞⠁⢸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣄⣳⠀⠀⠘⣿⣧⡀⠈⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⢀⠀⡟⠀⣼⠁⠀⠋⠀⣠⣴⣶⣾⣶⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⣿⣷⡍⢻⡄⠀⠀⣿⡇⢱⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⠋⠙⣷⠀⣿⠀⠀⠀⣰⣟⠀⢸⣿⣿⣇⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣸⣿⡇⠀⣧⠀⠀⣿⠇⠸⢀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⢸⡀⠀⢿⡀⣿⠀⠀⠀⣿⣿⣷⣿⣿⣿⣿⠀⣷⠀⠀⠀⠀⢀⣀⡀⠀⠀⣾⣿⣿⣿⣿⡇⢀⡟⠀⠀⡟⠀⢀⡾⠀ ⠀⠀⠀⠀⢀⣤⡶⠛⠋⠉⠉⠙⠳⣦⠀⠀⠀⠀⠀⠈⢷⡀⠁⠀⠘⣷⢻⡆⠀⠀⢻⣿⣿⣿⣿⣿⠏⢠⡇⠀⠀⠀⠀⣆⠄⣹⡆⢠⡝⢿⡿⠿⠟⣡⡾⠁⠀⣼⠃⣠⡞⠁⠀ ⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠈⢿⣤⡀⠀⠘⣷⣻⡀⠀⠀⠙⠯⣍⣉⣠⡴⠋⢀⣀⠀⠀⠀⠉⢻⠋⠀⢀⣝⣆⠉⠛⠛⠉⠀⢀⣼⡷⠞⠋⠀⠀⠀ ⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠈⠉⠛⠲⠾⠿⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠛⢳⡶⢤⣄⣠⠾⠴⢺⠋⢈⡿⠀⠀⠀⢀⣴⢟⣁⣀⣀⣀⠀⠀⠀ ⠀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢶⣄⡀⠀⠀⠀⢀⠀⠀⢳⡒⠲⢦⡀⢠⠏⢀⣼⣁⣤⡴⠚⣻⠋⠉⠀⠀⠀⠀⠉⢳⡀ ⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠾⠋⠀⠀⠀⠀⠀⠀⠀⢀⡴⠖⠚⠛⠛⠛⠻⢿⡛⠛⠛⠛⠲⠦⠬⠽⢦⣀⠙⠲⠤⠗⠁⣠⠞⠉⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀⠐⢶⠋⠀ ⣾⠁⠀⠀⠀⠀⠀⠀⠀⣰⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣆⣠⠇⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠶⠖⠛⠁⠀⢳⣀⣀⣀⣀⣷⡀⠀⠀⠰⡆⠘⣎⣇⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠇⣠⠀⠀⠀⠀⠀⣠⠃⢀⣀⣠⡤⠤⠀⠀⠀⠀⣀⡴⠶⠶⢦⣄⠀⢳⠀⠀⠀⠀⠙⢦⡀⠀⠘⣆⠘⣾⠀ ⢹⡄⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢰⠃⢀⡜⠁⢀⡼⠟⠛⠉⠁⡿⠀⠀⠀⠀⢀⡾⠉⠀⠀⠀⠀⠙⡆⠘⡇⠀⠀⠀⠀⠀⠙⢦⣀⣸⣠⠇⠀ ⠘⣧⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⣾⠀⢀⡞⠁⠀⠀⢀⣴⡇⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⡗⢠⡇⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀ ⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠙⢷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠿⠴⠟⠀⣀⣤⠶⠛⣽⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⢀⣼⢃⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠶⣤⣄⣀⠀⠀⠀⠀⠀⣀⣀⣤⣤⠶⠒⠋⠉⠀⠀⢰⠃⠀⠀⠀⢤⣄⣀⣙⣶⣦⠴⠒⠋⣡⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⣀⣠⠤⠖⠛⠒⠲⢤⣀⠀⡟⠀⣼⡁⠀⢀⣠⠾⠧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠳⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢞⡽⠆⠀⢀⡄⠀⠀⠀⠈⠛⢷⡀⡏⠉⠉⠉⠀⠀⠀⢄⣉⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠒⠶⠶⠶⠶⠤⠴⠶⠶⠶⠶⠶⠖⠺⣇⡏⠀⢠⠞⠁⠀⠀⣀⡶⣄⠀⣠⡇⢧⡀⠀⢀⣦⣀⠀⠀⠈⢷⣬⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⠤⠿⠤⠤⠖⠛⠉⠀⠈⠉⠉⠀⠀⠙⠒⠚⠁⠉⡉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠾⠟⠉⠉⠉⠀⠀⠀⠀⠈⠉⠙⠻⢷⣦⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡶⠿⠛⠛⠛⠿⢶⣦⣄⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⣨⣿⢷⣦⡀⠀⠀⠀⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⢿⣦⡀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠙⢿⣆⠀⠀⢘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠃⠀⠀⠙⣿⠶⣤⣤⣤⣴⣿⠃⠀⠀⠀⠀⠈⢻⣦⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⣀⣠⣴⠿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⣼⡏⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⢹⣷⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⠿⠛⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣁⣀⣀⣀⣴⡿⠁⠀⠀⠀⠀⠀⠈⠻⣶⣄⠀⢀⣤⡶⠟⢻⣧⠀⢸⣇⠀⠀⠀⠐⠺⣶⣶⣤⣤⣴⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⠋⠉⠉⠉⠉⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⡟⠉⠀⠀⠀⢻⣆⢸⡏⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣴⣏⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⣠⡾⢛⡿⠀⠀⠀⠀⢀⣼⡿⢿⣧⠀⠀⠀⠀⢀⣶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡟⠉⠻⣦⡄⠀⠀⠀⠀⠀⢹⣦⣤⣤⣴⣶⠿⠋⠀⢸⡇⠀⢀⣠⣾⠟⠉⠀⣰⡿⠀⠀⠀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡀⠀⣀⣼⣿⣄⡀⠈⠻⣷⣤⣀⠀⢀⡿⠋⠀⠀⠀⠀⠀⠀⣀⣼⣧⡾⠟⠋⠀⢀⣠⡾⠋⠀⢀⣴⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣛⠿⠉⣿⠟⠿⣶⣄⡀⠉⠛⠿⠿⠷⣤⣤⣴⠶⠶⠿⠛⠛⠉⠀⠀⢀⣠⣴⠟⠋⢀⣠⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠻⠷⠾⣿⠀⠀⠈⠙⠻⠶⣦⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣴⠾⠟⠋⠀⠀⣶⠟⠋⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡂⠀⠀⠀⠀⠀⠀⣍⠉⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⢻⣄⣰⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀⢰⡿⠻⣶⣶⣶⣶⣶⣶⣶⡶⠶⠷⣶⣄⠀⠀⠀⣀⣼⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⠿⢶⣶⣶⣶⡾⠿⠶⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⢀⡤⠖⠛⠓⠲⢤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠚⠉⠉⠉⠉⠈⠉⠉⠙⠲⢴⠋⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⠶⠛⠓⠲⢤⣀⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠓⢄⠙⣆⠀⠀ ⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⡄⡸⠁⠀⠀⠈⠳⡈⢣⠀ ⠀⣰⠏⠀⢀⣤⠞⠉⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠹⡄⠀⠀⠀⠀⠹⡀⣷ ⢰⠇⠀⣰⠟⠀⠀⠀⠀⠀⢳⠀⢠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣾⣀⢹⡀⠀⠀⠀⠀⢷⡏ ⢸⠀⣸⠃⠀⠀⠀⠀⠀⠀⣏⠀⠸⢠⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢸⣿⣍⣿⣷⠀⡇⠀⠀⠀⠀⢸⠁ ⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀⢻⡀⠠⣬⣿⣿⣿⣿⣦⠀⠀⣠⣾⡿⠛⢿⣶⡀⢸⣿⣿⣿⣿⠀⢧⠀⠀⢠⠀⡾⠀ ⠘⣇⣧⠀⠀⠀⠀⠀⠀⠀⢀⡟⠐⣿⣿⣿⣷⣾⢻⡇⢀⣿⣿⠇⠀⠈⢿⣷⠘⣿⣿⡿⠃⠀⠈⣇⠀⢸⠟⠀⠀ ⠀⠹⣿⡄⠀⢀⠀⠀⠀⠀⣼⠀⠀⢻⣿⣿⣿⠟⣸⡇⢸⣿⣿⡄⠀⠀⠘⣿⡇⠈⠉⠀⠀⠀⢀⣯⡴⠋⠀⠀⠀ ⠀⠀⠀⠹⣄⣸⡀⠀⠀⠀⣧⠀⠀⠀⠙⠻⠿⠯⠿⠁⢸⣿⣿⣇⠀⠀⢀⣿⡇⣀⡀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠳⣀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⢀⣠⡄⢿⣿⣿⣆⣀⣼⣿⣧⠏⠀⢀⣤⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠒⠛⠷⣼⣦⡀⠀⠀⠋⠉⠳⠬⣿⣿⣿⣿⠿⠋⣡⠴⠾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠲⠾⠓⠤⠴⠶⣤⣤⣤⠤⢴⡿⠛⠂⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠀⠀⠀⠀⠀⠀⠉⠙⢶⡤⣞⡀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡞⠳⣄⡀⠀⢠⡀⠀⠈⢻⡇⢻⣀⣠⠟⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⢸⠀⠀⠀⠉⢹⠋⠉⠓⠶⠟⠀⠀⠉⡱⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠧⢼⣆⠀⠀⠀⠸⣄⠀⠀⠀⠀⠀⠀⣰⠃⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣶⣄⣀⠀⠈⠓⠦⣤⠤⠖⠋⠁⠀⠚⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣥⠔⠈⠁⠀⠀⣠⠧⣄⣀⣀⡀⠀⢘⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣄⣤⠴⠛⠉⠁⠀⠀⠀⠀⠉⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⢤⡀⠀⠀⠀⣀⡤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠘⣆⠀⣼⠃⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⢸⣠⡇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⣴⠒⢦⠀⣿⠀⡴⠲⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⢿⠀⠘⣆⣿⠰⡃⠀⣷⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠸⡀⠀⣿⠟⡆⡇⢰⢿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⢳⣰⣿⠀⢹⣿⣼⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠔⠚⠛⠛⠛⠛⠚⠛⠛⠓⠒⠲⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠏⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⣄⠀⠀⠀⠱⣄⠀⠀⠀⠀ ⠀⠀⣰⠃⠀⠀⠐⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀ ⠀⢠⡇⠀⠀⣄⣀⣤⣴⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣦⣄⣴⠀⠀⢹⡀⠀⠀ ⠀⣸⠀⠀⠲⣶⣿⡟⢻⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠛⣿⣿⣿⣿⣿⡒⠀⠀⢧⠀⠀ ⠀⣿⠀⠀⠈⣿⣿⣿⣿⣿⣭⣿⣿⡇⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣤⣿⣿⡇⠀⠀⣻⠀⠀ ⠀⣿⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⢀⡀⠙⠛⠋⣀⠀⠀⠈⢿⡿⣿⣿⣿⣿⠛⡿⠁⠀⠀⡿⠀⠀ ⠀⠸⣧⠀⠀⠀⠈⠛⠒⠓⠚⠋⠀⠀⠀⠀⠘⠳⠖⠒⠛⠛⠀⠀⠀⠀⠙⠛⠛⠓⢚⣋⡀⠀⠀⣰⠃⠀⠀ ⠀⠀⠙⢧⠀⠺⠭⠭⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠧⠤⠜⠁⡴⠃⠀⠀⠀ ⠀⠀⠀⠀⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠓⠦⢤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣀⣀⣀⣠⠤⠤⠒⠚⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⠋⢙⠛⠛⠛⢻⣿⠿⣿⣭⡉⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠈⠳⢤⣴⡿⠏⠛⣿⡿⠃⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣷⣶⠀⠀⠀⠀⠀⠀⠀⢀⣀⣼⠀⠀⣀⠀⢀⣿⡇⠀⠘⣿⣆⣀⡀⠸⣆⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⠿⠻⡄⢀⣿⣦⠀⣠⣾⡿⣿⡿⢦⠀⠈⠉⢹⡧⠄⠈⠉⣿⠀⠀⠀⡾⢿⣿⣉⣳⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢳⣼⠁⠀⣀⣿⡿⠟⣩⢧⣼⡇⠀⠀⠀⠳⣤⣈⠟⠁⠀⠀⢸⢠⡤⣍⠿⢿⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢼⠿⠴⠾⠟⠛⠓⠤⡗⣺⡽⢧⣄⣀⣀⠀⠀⠀⠀⢀⣀⣀⣸⣦⣑⣚⡠⠾⠿⠿⠶⠦⠤⠤⠤⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠑⡄⡜⠉⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢳⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⡆⡎⢣⢸⠰⠑⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠱⣡⢸⡟⣼⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠠⠥⠾⠧⠼⠿⠥⠄⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⢄⠀⠀⠀⠀ ⠀⠀⢠⠊⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠄⠀⠑⡄⠀⠀ ⠀⢠⠃⢀⣈⣠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣀⡄⠘⡄⠀ ⠀⡌⠀⢰⣿⣭⣿⣿⣧⠀⠀⠀⠀⠀⠀⣴⣿⣽⣿⣻⡏⠀⢡⠀ ⠀⢇⠀⠘⢿⡿⡿⣿⠏⠀⢀⠈⢛⣁⠀⠸⣿⣿⡿⣿⠇⠀⡘⠀ ⠀⠈⢦⠠⣐⠢⠁⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠈⠱⠀⠆⡰⠁⠀ ⠀⠀⠀⠑⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠤⠊⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⢱⠒⡒⠒⣒⣿⣯⡽⡉⠀⠀⠀⠀⠀⠀⠀ ⢀⣦⡄⠀⠀⠀⠀⢀⡆⢀⠈⣸⡏⠸⣏⢀⢱⠀⠀⠀⠀⠀⠀⠀ ⠈⠋⢢⡸⠒⢰⣿⡳⣓⡀⠈⢗⠀⢩⠃⠀⠞⠿⣭⡆⠀⠀⠀⠀ ⠀⠀⠸⠇⠖⠛⠣⠔⠯⠧⠀⣀⣉⣁⡀⠀⠮⠚⠴⠷⠶⠤⠤⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⠉⠁⠀⠀⠀⠀⠈⠉⠓⠦⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⠴⠚⠛⠉⠉⠛⠛⠲⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⡟⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀ ⠀⠀⠀⢀⡔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢦⡄⠀⠀⢀⡤⢀⡴⣺⠖⠃⢀⠇⠀⣀⣀⣠⣼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠖⠒⠉⠓⠒⢤⡀⠀⠀⠸⡆ ⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢲⡴⣻⡿⢋⡴⠋⠀⣠⠞⠊⠉⣀⣠⠴⠾⠧⠶⠤⣄⠀⠀⠀⠀⢀⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⡇ ⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⢧⡄⠀⠀⣰⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⢀⡇ ⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⠅⠐⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣼⠀ ⢸⠀⠀⠀⣀⡤⠒⠊⠉⠑⠒⠲⠤⣄⠀⠀⠀⠀⠰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⠤⠤⣤⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣳⠃⠀ ⢸⠀⠀⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠋⠀⠀⠀⠀⠀⠀⢀⡴⠊⣴⠋⠀⠀ ⠘⣆⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⣏⡉⠑⠛⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⢀⣀⣀⣀⣠⠴⠞⢉⡠⠞⠀⠀⠀⠀ ⠀⠹⣞⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡽⠶⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠛⠻⢿⣿⣶⣄⠀⠈⢷⡤⠤⠤⠶⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣞⣦⡀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠒⡶⠂⢀⣴⣾⡿⠛⠿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠙⣟⢻⣷⡄⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⢽⡢⣄⡀⠀⠀⠀⠀⠀⠀⣼⠃⣰⣿⣿⠁⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⣿⠄⣿⣧⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠒⠯⣵⣒⠒⠒⠒⣩⣽⠀⣿⢻⣿⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣦⣀⡀⠀⣠⣾⡿⢃⣾⡟⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⣸⢸⣧⠀⣿⣷⣄⣀⣠⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣏⡙⠛⠛⠉⣤⣈⡿⠃⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠘⣿⣉⠈⠻⠿⠿⢿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⠿⠿⠟⠛⠋⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠙⠿⣷⣦⣴⣶⠿⠟⠁⠀⠀⢀⣀⡐⠿⠗⠀⠀⢰⡯⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠐⢶⣀⣠⠗⠦⠤⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠔⠛⠁⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣭⣽⠖⠒⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠴⠒⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠁⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⡀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⣴⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣞⣟⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣇⢠⠀⠀⠀⠀⠀⢀⡠⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠋⠉⠉⠙⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠉⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠘⠛⠢⢤⣶⡚⣿⠛⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⣴⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⢀⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⣼⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⢀⣴⠟⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⠤⠴⠇⠀⠉⠉⠉⠉⠉⠉⠙⠲⠶⢬⣷⠀⠀⠀⠀⢸⠃⠀⠀⢀⣠⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⢄⣀⣠⠟⠒⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
𝐓𝐡𝐚𝐭 𝐰𝐡𝐞𝐧 𝐈 𝐭𝐚𝐥𝐤 𝐭𝐨 𝐲𝐨𝐮 𝐨𝐡, 𝐂𝐮𝐩𝐢𝐝 ‹𝟹 𝐰𝐚𝐥𝐤𝐬 𝐫𝐢𝐠𝐡𝐭 𝐭𝐡𝐫𝐨𝐮𝐠𝐡☆。𖦹°‧ 𝐀𝐧𝐝 𝐬𝐡𝐨𝐨𝐭𝐬 𝐚𝐧 𝐚𝐫𝐫𝐨𝐰 ➸𖥔 ݁ ˖𝐭𝐡𝐫𝐨𝐮𝐠𝐡 𝐦𝐲 𝐡𝐞𝐚𝐫𝐭‧₊˚✩彡 𝐀𝐧𝐝 𝐈 𝐬𝐨𝐮𝐧𝐝 ♬♪ 𝐥𝐢𝐤𝐞 𝐚 𝐥𝐨𝐨𝐧, 𝐛𝐮𝐭 𝐝𝐨𝐧'𝐭 𝐲𝐨𝐮 𝐟𝐞𝐞𝐥 𝐢𝐭 𝐭𝐨𝐨?✧˚ ༘ ⋆ 𝐂𝐨𝐧𝐟𝐞𝐬𝐬 𝐈 𝐥𝐨𝐯𝐞𝐝 ❀˖° 𝐲𝐨𝐮 𝐟𝐫𝐨𝐦 𝐭𝐡𝐞 𝐬𝐭𝐚𝐫𝐭₊˚⊹♡
💕🥀💌🧁
˚୨୧⋆。
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣆⠭⠭⡁⠒⠂⠤⣀⠀⠀⠀⡰⠁⡠⠆⢒⡲⠖⠀⢀⡠⠔⠒⠂⡩⠭⢄⡄ ⣇⠐⠉⠉⢆⠀⠀⠈⡳⠔⠉⠀⠈⠠⢬⠤⣉⡐⣴⡉⠀⠀⢀⠎⠉⠑⢀⠇ ⠘⣆⠸⠁⠈⢆⠀⠀⢀⠠⡀⠀⠀⠉⠢⣱⠀⡨⢅⠀⠀⢀⠊⠀⠱⢀⡜⠀ ⠀⠈⠢⡀⠘⠿⠅⠈⣀⣄⡀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠐⠽⠇⠀⡠⠊⠀⠀ ⠀⠀⠀⣜⡢⣰⠀⣼⣇⠀⢈⣧⠀⠀⠀⢠⡏⠀⢀⣷⡄⢠⡰⣛⡀⠀⠀⠀ ⠀⠀⠀⠀⠉⢻⠀⣿⣿⠿⣿⣿⠆⠀⠀⣿⣿⡿⢿⣿⡇⡘⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠹⢕⡤⣼⠟⠀⡤⡄⠘⢿⠄⣔⠝⠁⢣⠀⠀⠀⠀⠀⠀ ⠀⣀⣤⡔⠒⠒⠠⠄⣀⡀⠀⠈⠐⠯⠓⠈⠀⠀⣀⡀⠤⠐⠒⠂⣤⣄⡀⠀ ⠈⠀⠀⠀⠉⠢⡀⡔⠀⠀⠨⠉⠈⠉⠉⠈⠡⠀⠀⠘⡀⡴⠊⠁⠀⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠘⠂⠐⢂⠀⠀⠀⠀⠀⠀⠀⡤⠂⠀⠛⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠑⠤⣀⡠⠔⠁⠡⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⠷⠠⠐⠉⠀⠈⠑⠤⠰⠺⠀⠀⠀⠀⠀⠀⠀⠀⠀
🌾🍄🌻🍞☕🧺🧸✨🐑🍓🍯🍂🥧🍰🍪🍙🥐🥨🥞🍮🍋🍉🐻🐈🗞🍊🧇❤️🐰🐿📖
🐻 ʕ •ᴥ•ʔ ฅ՞•ﻌ•՞ฅ 🍯
🌹🎋🥀🍄🌼💕🍨💖🧃🍫🍮🏳️‍🌈🍩🍧
💙🦋🐳🅿️
‧₊˚🖇️✩ ₊˚🎧⊹♡‧₊˚ ☁️⋅♡𓂃 ࣪ ִֶָ☾.𓇼🧉❀🐚𓆉︎ ࿔*:・゚☾🐻☕🧸📋🧋🍪🦋⃤♡⃤🌈⃤🗝☕🕰📜🎞🖋️𖦹🕷️🕸✮𓇼 🌊 🐚🕊️
hello! I'm here to say please do not post innapropiate symbols. there's kids here. searching for preppy, aesthetic, ect. emojis. not innapropiate ones. various kids have seen this and it has changed how they see things. please think first what are you doing. this is not a 13+ website. hope u understand. thanks :)
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⢀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣀⣤⠖⠛⠉⠉⠉⠉⠉⠙⠒⠦⣿⣏⣀⠀⠀⠀⠀ ⠀⠀⣠⠞⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢵⡄⠀⠀ ⠀⢰⣯⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣿⠀⠀ ⠀⠈⣇⢀⢠⠇⠀⣶⡶⠄⠀⠀⠀⢠⣶⡶⠀⠀⣸⣀⣼⠟⠀⠀ ⠀⠀⠙⠛⠾⡆⠀⠙⠛⠃⠀⠀⠀⠀⠙⠋⠀⠀⣹⠟⠁⠀⠀⠀ ⢀⡴⠚⠉⠛⢿⠀⠀⠀⠀⢿⣿⠆⠀⠀⠀⠀⢀⣿⠋⠉⠉⢳⡄ ⢾⡀⡄⠀⣄⡼⠻⢧⠤⣤⠤⠤⣤⣠⣦⣾⠶⠞⢿⣤⡄⣠⣀⡷ ⠈⠙⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀
˗ˏˋ ˎˊ˗ ꒷꒥꒷꒷꒥꒷꒷꒥꒷꒷꒥꒷꒷꒥꒷꒷꒥꒷꒷꒥꒷꒷꒥
.° ༘🎧⋆🖇₊˚ෆ
🧸⭐️💐💛🌼 “cute bear, flowers,aesthetic”
⚠️ please stop making posts like this!! we are just trying to find emoji combos and our searches keep getting interrupted by ur long ass paragraphs. STOP!
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣎⡉⠉⠉⠉⠓⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠉⠢⡀⠀⠀⢀⠃⠹⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⡎⣀⣤⣄⠀⠀⠹⡄⠀⢸⢀⢿⣧⢃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡎⡆⠀⢰⠋⢻⣿⣷⡀⠀⣇⠀⢸⠸⣤⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠃⡇⠀⢸⣦⣾⣿⣿⣇⠀⢸⠀⠀⣇⣿⡿⣯⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡤⠤⢤⣸⡀⢃⠀⠈⢿⣻⣛⠝⡘⡠⠘⠊⠉⠉⠀⠀⠈⢉⠆⠀⠀⠀⠀ ⠀⠀⠀⡆⠈⠐⠮⣕⠮⣢⢄⠈⠑⠂⠚⢹⢱⣄⣀⡀⢀⣀⠄⣠⠎⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⡀⠀⠀⠈⠣⡙⠅⠫⡑⠒⠒⠻⠀⢿⠿⣿⣿⡏⣮⢾⣀⠤⠄⠒⠒⠒ ⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠘⠀⠈⠑⠒⠀⠳⡈⢂⣘⡿⡰⠁⢸⠀⠀⠀⠀⠀⠰ ⠀⠀⠀⡶⠲⠷⡀⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠈⠢⠤⠔⠁⠀⠀⡄⠀⠀⠀⣠⠁ ⠀⠀⠀⣧⢦⠀⠉⠒⠒⠉⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡰⠁⠀ ⠀⡞⠓⠄⠀⠳⡀⠀⢀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⡠⠞⠁⠀⠀ ⡤⡇⠀⠀⠀⠀⠱⣤⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀ ⢣⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⢣⡀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠦⣀⠀⠀⢀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⠙⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠲⡦⠤⠤⠤⠤⠖⠋⠉⠓⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⢲⠚⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⢄⣀⣀⣰⠦⠞⠀⠀⠀⠀⠀⠀⠀⠀
.° ༘🎧⋆🖇₊˚ෆ.° ༘🎧⋆🖇₊˚ෆ.° ༘🎧⋆🖇₊˚ෆ↓
𓆝 𓆟 𓆞 𓆝 𓆟 ♡ ̆̈ 𓍯𓂃ֶָ֢𓍯𓂃𓍯𓂃𓍯𓂃𓍯𓂃𓍯𓂃𓍯𓂃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠀⠀⠀⣠⠒⠈⠉⠐⠲⢤⡀⠀⠀ ⠀⠀⢀⠔⠊⠉⠉⠒⢄⠀⠀⠀⠀⣸⡱⢥⣶⠖⢊⣰⣁⠀⠰⠀⠀⠀⠀⠈⠳⡄ ⠀⠀⠘⠀⠀⠀⠀⠀⠀⠳⣀⠤⠊⠁⠀⠀⠀⠀⠀⠉⠙⠒⡼⠀⠀⠀⠀⠀⠀⢸ ⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⣸ ⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠾⠧⡀⠀⠀⢀⡴⠁ ⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢀⠤⠤⠤⠤⠀⠀⠀⠀⢘⡔⠋⠛⢿⣿⡒⠙⡆⠀ ⢇⠀⠀⣠⡤⠤⠤⢤⣤⠴⢃⠴⠚⢿⣿⣷⣦⡀⠀⠀⢸⣧⣀⣀⣼⣿⡇⠀⢱⠀ ⠘⢴⡋⠁⠀⠀⠀⠀⠀⠀⣏⠀⠀⠀⣿⣿⣿⣷⠀⠀⠀⠻⣿⣿⣿⠿⠁⠀⢸⠀ ⠀⠀⠉⠒⢠⡀⠀⠀⠀⠀⢿⣷⣤⣾⣿⣿⣿⡟⠀⣀⡠⠤⢤⠀⠀⠀⠀⠀⡜⠀ ⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠈⠛⠿⢿⡿⠿⠋⠀⠀⠳⢄⣀⠜⢀⠀⠀⠀⡴⠁⠀ ⠀⠀⠀⠀⠀⠀⠙⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠊⠁⠁⣀⠴⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠉⠒⣤⠤⣤⣄⣀⣀⣠⣤⠤⠤⠄⠐⠂⠉⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠋⡃⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⡵⠊⠉⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⢠⣠⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡞⢠⢖⠿⣑⣦⣇⢰⠀⠀⠀⠀⠀⠐⡏⠀⠀⠀⣼⣿⣉⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⢧⢺⣹⢲⢽⠊⢿⢸⠀⠀⠀⠀⠀⠀⠣⠀⠀⠰⠽⢞⢙⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣧⠈⠋⠀⠸⠈⣆⠀⠀⠀⠀⠐⢄⠱⠀⠁⠲⡄⢱⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠒⠒⠋⠉⠈⠓⠤⢄⣀⣀⣸⠼⠤⠤⠤⠤⠞⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⠒⠒⠂⠄⡀⠀⠀ ⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⡠⠃⠀⠀⠀⠀⠀⠀⠀⠱⡀ ⠀⡠⠂⠁⠀⠀⠈⠁⠂⢄⢀⡤⡰⠊⡅⠀⢴⠁⠀⠀⠀⢀⠠⠐⠒⠠⡀⢡ ⠰⠀⠀⠀⠀⠀⠀⠀⠀⠔⠈⠀⠀⠁⠀⠉⠀⠀⠛⠀⡔⠁⠀⠀⠀⠀⠈⠘ ⡇⠠⠒⠈⠀⠒⠠⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠀⠀⠀⣀⠼⠃ ⠡⡇⠀⠀⠀⠈⡫⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠴⢦⣄⡀⢖⠒⠬⠂⠁⠀ ⠀⠙⢦⣄⡀⠀⣈⡏⣴⠋⠉⢳⠀⠀⠀⠀⢰⡅⠀⠀⣯⢷⠈⠆⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠀⠈⢿⡸⣦⣤⣾⠀⠀⠀⠀⠈⠿⣖⣚⣥⠟⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠳⠶⠖⠋⠀⣀⢒⣀⡰⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠑⠤⠂⠀⠀⠀⢀⠤⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⡂⡤⠄⠀⠀⠀⡀⠠⠄⠐⠈⠉⠠⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⣁⡰⠁⠀⠀⡠⠊⠁⠀⠀⠀⠀⠀⠀⢰⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡎⠁⠑⡀⠀⠀⠑⠂⡴⠖⢥⠀⠀⠀⠀⢸⠀⡰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢄⣀⠧⠄⠀⠀⢀⢡⠀⠀⡆⠀⢀⡠⠓⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠐⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⡄⠘⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⢀⡄⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⣸⣿⣆⠈⢿⡄⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⠀⠀⠀⠀⢀⣾⠃⢀⣾⣷⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⢠⣿⣿⣿⣤⣼⣿⠶⠾⠛⠛⠛⠉⠉⠉⠉⠛⠛⠛⠻⠶⢾⣧⣤⣾⣿⣿⣇⠸⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣁⣾⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⣿⣄⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡀⠀⠀⠀ ⠀⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣆⠀⠀ ⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀ ⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⢀⣴⡶⢶⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡶⢶⣦⡄⠀⠀⠀⠀⠀⠀⠀⠸⣷ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⣤⣿⣿⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⢸⣿⣧⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠈⠿⣿⣿⡿⠋⠀⢀⣠⡶⠾⠛⠛⠛⠛⠛⠛⠻⢶⣤⡀⠀⠘⠿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⢸⣧⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⡀⠀⠀⣠⡿⠋⠀⠀⠀⠐⣿⣿⠆⠀⠀⠀⠈⢻⣦⠀⠀⠀⣀⣠⣤⣤⣄⣀⠀⠀⠀⠀⢸⡏ ⠈⣿⡀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⠂⠀⣿⠁⠀⠻⢦⣤⣤⡿⢿⣤⣤⣴⠾⠂⠀⣻⡇⠀⢿⣿⣿⣿⣿⣿⣿⡷⠀⠀⢀⣿⠃ ⠀⠘⣷⡄⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⢠⣾⠋⠀ ⠀⠀⠈⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣦⣀⡀⠀⠀⠀⠀⢀⣀⣠⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠁⠀⠀ ⠀⠀⠀⠀⠈⠛⢷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠿⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠷⢶⣤⣤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣴⠶⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠛⠛⠛⠛⠿⠿⠿⠿⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⠶⠿⠛⠛⠛⠛⠛⠻⠶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠚⠉⠀⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⠁⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠋⣀⠤⠖⠚⠉⠉⠉⠉⠉⠉⠑⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⡇⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⣠⠞⢁⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⡀⠀⠀⠀⠀⢀⣀⡇⠀⠀⠀⠀⠀ ⢀⡞⠉⣿⡇⠀⠀⠀⠀⠀⠀⠉⠉⠉⢙⡿⢃⡴⠃⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⢠⠞⠉⠉⠛⠦⣄⠀⠀⠀ ⡞⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣝⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⢸⣴⠏⠀⠀⠀⠀⠀⠈⢳⡀⠀ ⣇⠀⠀⠀⠈⠙⠦⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⢰⣿⣿⣿⣿⡏⠉⢳⡙⢿⣦⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄ ⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣶⣿⣧⠈⡏⣧⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹ ⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠈⠲⠴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡇⢸⡀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠙⠶⣤⣤⡤⠴⠒⠁⠀⢀⡄⠀⠀⡀⠀⠀⠀⠤⠾⣿⣿⣿⣿⣿⣿⡿⠋⢀⡇⢈⡇⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠷⢤⣄⣤⢤⡾⠋⠀⠀⣸⡇⣠⠀⠀⠀⠀⠈⠻⣿⡦⠤⠠⠤⠒⢉⣠⠞⠀⠀⡆⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠀⠀⣠⠞⠉⡟⠁⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠚⠉⠉⠀⠢⠴⠚⢳⠒⢏⠀⠀⠀⢀⡴⠊⠉⢲⡀⠀⡠⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠉⠁⠀⢸⠁⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⠙⠒⠚⠉⠀⠀⢀⡾⠉⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣀⣀⣀⣠⠴⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠐⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⣰⠿⣦⣀⠀⠀⠀⠀⢀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠛⠛⠛⠋⠉⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠞⠉⣰⠀⠀⠀⠀⠀⠀⠑⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⢸⠇⠀⠀⠀ ⠀⠀⣠⡶⠋⠉⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢷⣀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⢳⠖⠉⠀⠀⠀⠀⠀⠀⢀⠀⠀⢸⠟⠀⠀⠀⠀ ⠀⢰⠏⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⡀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⢀⡏⠀⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠈⠓⠤⣀⣀⡀⢀⣀⣼⠁⠀⠉⠓⠲⠶⠷⠤⠀⠀⠀⠀⠀⢀⣰⠏⠀⠀⠀⠀⠀⠀⠀⣠⠏⠙⠖⠋⠀⠀⠀⠀⠀⠀ ⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠈⠳⢤⣀⣀⣀⣀⣀⣀⣀⣠⡤⠤⠖⠋⠁⠀⠀⠀⠀⠀⢀⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⡷⢤⣀⡀⠀⠀⠀⠀⠀⣀⡠⠔⠀⠀⠀⠀⠀⢿⡁⠀⠀⠀⠀⠀⢀⣄⣀⣀⣀⣤⡤⠶⠚⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢷⣄⠈⠉⠉⠉⠉⠉⠁⠀⢀⠀⠀⠀⠀⠀⢀⣸⢷⣄⡀⠀⣀⡴⠚⠉⠉⠉⠛⢤⡤⢤⡞⠃⠀⠀⣠⠞⠛⠲⢤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠳⢶⣤⠤⠤⠔⠒⠋⢁⡴⠋⠙⠳⢾⣉⣀⡼⠋⠉⣿⣡⠶⢦⠀⡖⠒⠦⠼⠀⠀⠛⠦⠤⠞⠁⠤⠒⠤⡀⠙⢧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠶⠖⢲⠏⢀⡴⠋⠒⠂⠈⠉⠀⠀⠀⠀⠀⠀⢸⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡎⠀⠀⠀⠀⠀⠀⣀⡤⠤⠤⠤⠴⠋⠀⠈⠓⠒⠒⠚⠋⠙⠲⠤⣄⣀⡀⢀⣀⡠⠞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⣀⣠⡤⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠔⠒⠊⠉⠉⠑⠒⠤⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠳⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⢀⡤⠚⠉⠀⠑⢌⠀⠀⠀⠀⠀⠀⢇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢠⠊⢀⣴⣿⣿⣿⣮⡄⠀⠀⠀⠀⠀⠘⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡇⢠⣿⣿⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢱ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠇⢸⣿⣿⣇⣸⣿⠃⠀⠀⠀⠀⠀⠀⠀⢨ ⠀⠀⠀⠀⠀⣀⣠⣤⣀⡀⠱⡄⠀⠀⠈⠦⣻⣿⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⡸ ⠀⠀⢀⣔⢋⢵⠋⠉⢺⢝⣆⠈⢦⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠁ ⠀⠀⡞⠐⡎⡠⠵⠒⢭⡆⠙⡄⠈⡆⠀⠁⢲⠦⠤⠡⣄⣀⣀⣀⡤⠴⠚⠁⠀⠀ ⠀⡴⣧⡤⠃⢇⡀⢀⡨⠘⡲⢏⡹⠀⢀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠳⢛⡶⢍⣋⡒⢲⡒⣎⣙⠶⠊⢀⠴⣏⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡸⠁⠀⢸⠿⡿⠿⢼⠀⠀⠀⢾⠐⣞⡝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢧⣦⣤⣺⣴⠇⠀⠸⣀⣠⣤⣾⠍⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀ ⢠⢏⡠⠤⠤⣀⠉⠉⠛⠒⠶⢤⣀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⡠⠇⠐⠒⢉⣩⠷⠂⠀⠀⠀⣀⣤⠴⠒⠚⠉⠉⣀⠤⠤⢤⣀⠀ ⢸⡈⠀⣠⠔⠚⠷⣄⠀⠀⠀⠀⠉⠻⣦⡀⠀⡠⠞⠁⠀⠀⠊⠀⠠⠔⠚⠓⠢⢄⡀⢀⣴⠟⠉⠀⠀⠀⠀⢠⠾⠓⠲⣄⠀⢻⡇ ⠈⣧⠀⠇⠀⠀⣀⣘⣆⠀⠀⠀⠀⠀⡨⠟⠉⠀⠀⠀⠀⠀⢀⠒⠒⢶⠒⠶⢤⣄⣙⡿⢅⠀⠀⠀⠀⠀⣰⣃⣀⠀⠀⠸⠀⣼⠁ ⠀⠹⣧⠀⠀⡟⠁⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⣀⠱⡀⠀⠀⣉⠁⠀⠁⠀⠀⠀⣰⠋⠀⠈⢳⠀⠀⣸⠇⠀ ⠀⠀⠙⢧⡀⠑⠄⠀⢠⡬⣦⡀⠀⢀⠔⠋⠉⠛⠀⠀⠀⠀⠀⠀⠀⠈⠳⠇⠀⠚⠉⠙⠢⡀⠀⢀⣴⢥⡄⠀⠀⠎⢀⣴⠋⠀⠀ ⠀⠀⠀⠈⠳⣦⡀⠀⠘⠻⠶⠏⠀⠀⢀⣀⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠩⠶⠟⠃⠀⢀⣠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢙⣦⡄⠀⡄⠀⠀⣴⣿⠁⠀⠈⠹⣆⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠈⣿⣦⠀⠀⢀⠀⢠⣴⡋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠿⢲⡏⡠⡇⠀⣸⣿⣿⣄⠀⠀⣠⣿⣇⠀⠀⠀⠀⠀⣼⣿⣄⠀⠀⣠⣿⣿⣧⠀⢸⢠⡙⡗⠿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠛⠻⣇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣸⠛⠙⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡿⣿⠉⠉⠙⢿⣿⡿⠀⠀⠀⠀⠀⢿⣿⣿⠋⠉⠉⣿⣫⡏⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠙⢮⣓⡤⢤⣾⠟⠁⠀⢤⠤⡤⠀⠈⠿⣿⡤⢤⣾⡵⠟⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⣀⣴⣥⠀⠀⠀⠀⠈⠉⠉⠁⠀⠳⢤⣴⠛⣧⡤⠞⠀⠈⠉⠉⠁⠀⠀⠀⠀⣬⣧⣀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⡴⠾⠭⢥⣀⡀⠀⠈⠉⠑⠒⠢⠤⠤⠀⣀⣀⣀⣀⣉⣉⣁⣀⣀⣀⣀⡀⠤⠤⠔⠒⠈⠉⠁⠀⢀⣀⡤⠭⠵⢶⣄⠀⠀ ⠀⠈⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⢀⠎⠀⠀⠀⠀⢰⠛⠁⠀⠀⠀⠀⠀⠈⠋⢇⠀⠀⠀⠀⠙⡄⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⣎⣀⣀⡀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⢀⣀⣀⣰⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠈⢣⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠞⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡇⠀⠹⣀⠀⠀⠀⠀⠀⣀⠟⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⢈⣉⡵⠶⢦⣉⡁⠀⠀⠈⠓⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣿⣀⣠⠔⠋⠀⠀⠀⠀⠀⠉⠢⣄⣀⣷⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠒⠶⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠛⡷⠂⠀⢸⠿⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠿⣧⡼⠁⠀⠀⠈⡦⠾⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠘⡍⠢⣄⡀⠀⠀⠀⠀⠀⣠⣾⣿⣦⣀⡇⠀⢰⡄⠀⠁⢀⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡾⠉⢙⠧⠤⣼⡏⢀⣿⠟⠑⣶⣉⠉⠉⠉⠛⠂⠤⠈⠉⢻⣿⣿⣿⠟⠁⠀⠀⠈⠓⠀⠠⢿⢀⡏⠉⠛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⣶⢷⠀⠀⠀⠈⠑⢄⠀⣰⣿⣿⠽⠓⡧⠀⠀⠀⠀⠀⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣤⣴⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡃⢘⣆⠀⢾⣄⡀⠈⢻⢉⡞⠁⢀⠜⠀⡀⠀⠀⠀⠀⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣨⣿⣿⡶⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⣿⠈⠳⣌⣻⡥⠀⠀⠸⣄⠴⠛⠖⠊⠀⠀⠀⠀⠀⠉⠀⠀⣀⣤⣤⣄⣀⡀⠀⠀⠀⠘⠛⠿⠿⠿⢿⠗⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠳⣤⣴⡏⠉⠀⠀⠀⢀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠟⠛⠉⣉⣉⣀⠀⠀⠀⠀⠀⢀⣴⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⡇⠀⠀⣠⠾⠿⠻⠿⢷⣦⡀⠀⠀⠀⠀⠀⠀⠞⠋⢀⣴⣾⠿⠟⠛⠛⠓⠦⣤⣴⣾⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⣠⣶⣶⣶⣦⣄⡈⠁⠀⠀⠀⠀⠀⠀⠀⣰⠟⠉⣀⣤⣴⣶⣶⣶⣦⣆⠈⠙⠛⠛⠛⠋⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⣼⠋⢀⣀⣀⣀⡉⠙⠢⡀⠀⠀⠀⠀⠀⠔⠁⢀⣾⣿⠟⠛⢻⣿⣿⢿⣿⠀⠀⠀⠀⣠⣾⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡇⢸⣿⣿⣿⡿⠿⢿⣷⣤⡀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡁⠀⠀⣼⡿⠁⠈⣿⡀⢤⣶⣿⣿⡿⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣘⣿⣿⣯⡀⠀⢀⣿⠙⢿⣄⠀⠀⠀⠀⠀⢸⡏⢻⣷⣶⣿⣿⣷⡀⠀⣿⠃⠀⠀⠀⠀⣀⣠⣽⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢏⠹⡇⢻⣿⣿⣿⣿⠀⢸⣿⠀⠀⠀⠀⠀⠈⠳⠀⠻⣿⣿⣿⣿⣿⣾⡟⠀⠐⠲⠿⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣀⡹⣄⠙⢿⣿⣿⣷⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢌⣉⣻⡭⠿⠋⠀⠀⠀⠀⠀⠀⡈⠻⡟⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣿⣿⡇⠈⠓⠦⠤⠤⠤⠒⠂⠀⣠⡄⡰⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢠⡈⢢⠤⠜⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠛⢿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⠗⠚⠓⠺⠿⣶⠀⠀⠀⠀⠀⠰⢶⣏⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢹⣤⣠⣤⠄⣀⡠⠧⢶⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⡾⢳⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⠟⠁⢠⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣵⡿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⡀⢀⣴⣿⣿⡿⢆⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢷⡆⢠⡀⠀⠀⠀⠀⠀⠀⠀⢰⣁⣈⡉⠉⠉⢀⣼⡀⠀⠰⣿⣿⣿⣿⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣱⠆⠳⡀⠙⢦⠀⠀⠀⠀⠀⡀⢸⣿⠟⠁⠠⣾⣿⣿⣁⣀⡴⠿⠿⠂⡽⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣗⠀⠀⠀⢢⡜⡩⠀⡄⠀⢀⣇⠞⡏⢁⠀⠀⠀⢀⣞⣿⡀⣿⠶⠖⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠓⠷⠤⠧⠤⠚⠉⠛⠦⠧⣤⣤⣶⣋⣀⣀⣀⢀⣀⢀⠀⠀⠀⢀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠘⠶⠦⠤⠤⠤⠬⠼⠬⠤⠤⠤⠄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣄⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⠀⠀⠹⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣴⠾⠛⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠉⠛⠷⣶⣼⣿⣉⣁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡾⠛⠉⠛⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡏⠉⠙⠛⢶⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣧⠀⠀⠀⠀ ⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠈⢿⡇⠀⠀⠀ ⠀⠀⠹⣿⡎⠀⠀⠀⣠⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢻⡆⠀⠀⣆⣿⡇⠀⠀⠀ ⠀⠀⠀⣿⡀⠀⡀⠀⣿⠁⠀⢠⣾⣿⡿⠆⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠆⠀⠀⠀⢈⣿⠀⣄⣾⡿⠁⠀⠀⠀ ⠀⠀⠀⠘⣿⣧⣇⢀⣇⠀⠀⠘⣿⣿⣷⡆⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⠖⠀⠀⠀⢸⣿⣷⠿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠙⠻⣿⣆⡀⠀⠀⠉⠉⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣸⣿⠁⣀⣀⣀⠀⠀⠀⠀ ⠀⢀⣠⡶⠾⠛⠓⠶⣿⡟⠀⠀⠀⠀⠀⠀⠠⣾⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠟⠋⠉⠛⠻⣦⡀⠀ ⢀⣾⠋⠀⠀⠀⠀⠀⠘⣿⣠⣄⡀⠀⠀⠀⠀⠛⠿⠟⠁⠀⠀⠀⠀⠀⡀⡀⠀⣴⣾⡏⠀⠀⠀⠀⠀⠈⣿⡄ ⢸⣯⠀⢠⠀⠀⢀⣄⣠⣿⠿⢿⣷⣤⣦⣀⣤⣤⣤⣤⣀⣀⣀⣼⣆⣼⣷⣿⡾⠿⢿⣧⣀⣦⠀⠀⣤⠀⣸⡧ ⠘⠿⣷⣾⣷⣤⠾⠿⠛⠁⠀⠀⠀⠁⠀⠉⠉⠀⠀⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠉⠛⠻⠷⠾⠿⠟⠛⠁
🧸‎♡‧₊˚⟡ʚℕ𝕒𝕞𝕖ɞ‎⟡‎♡‧₊˚🧸
ᯓ ᡣ𐭩🤍ྀི𐙚༘⋆🎧ྀིㅤㅤㅤㅤㅤㅤㅤ
⠀⠀⠀⠀⠀⠀⣀⡠⠴⠒⠚⠉⠉⠉⠉⠙⠒⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠴⠊⠁⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡔⠁⠀⠀⠀⠀⠀⠀⠀⢀⠴⢯⢱⡀⠀⠀⠀⠀⠈⠻⣗⠒⠠⢀⠀⠀⠀⠀ ⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⢠⠋⠀⣸⠋⡇⠀⠀⢀⠀⡀⠀⠙⢧⡀⠀⠑⢄⠀⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣿⣤⣴⡙⣼⡁⠀⠀⠈⢢⠘⡠⡀⠀⠑⡀⠀⠈⢷⠀ ⠀⢀⠿⠤⠀⣀⠀⠀⠀⠀⣧⡙⡿⠋⠀⠀⠀⠀⠀⠀⡆⡇⡇⠀⠀⠐⠄⠀⢈⣧ ⡇⠁⠀⠀⠀⠀⢐⡒⡄⠀⠀⠈⠠⡴⣆⡶⠀⠀⠀⠰⠐⢠⠁⠀⠀⠀⠘⡖⠉⠉ ⠈⢍⣡⠐⡂⠤⢀⣁⠁⣀⡀⠔⠈⡦⠃⠀⠀⡀⠀⠀⠀⠀⠀⠀⢄⠀⠀⡇⠀⠀ ⠀⠀⠀⠉⠈⠒⠓⠤⠷⣔⡢⠌⠁⣀⡠⠔⠊⠀⠀⠀⠀⠀⢀⡆⠈⡆⠀⢃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣀⢀⠔⠒⢄⠀⠀⠀⠀⠔⠊⠁⠀⠀⡇⠀⠘⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠆⠉⠀⠀⣀⣱⠀⠀⠸⠀⠀⠀⣠⠔⠁⠀⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⣠⠚⢧⠀⠀⠀⠀⠀⠔⠉⠀⠀⠀⢀⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢣⠀⠀⠘⠁⠀⠀⠀⠀⠀⡌⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⣤⣴⠖⠒⠶⠶⠤⠤⣀⣀⡴⠁⠀⠀⠀⠀⠀⢀⠜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⢄⡀⠀⠀⠀⠉⠃⠀⠀⠀⠀⠀⡠⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠠⠌⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⠀⢀⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣀⠠⠐⠉⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠀⠀⠠⠄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⡇⠈⠐⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⡺⠁⠀⠀⠀⠀⠀⢔⡀⠀⠀⠀⢡⠀⠀⠀⠀ ⠀⠀⠀⡰⠱⢉⣽⡄⠀⠀⠀⣦⣤⡀⠑⣧⠀⠀⡄⠀⠀⠀ ⠀⢀⠞⠀⢃⣼⣿⡿⠀⠀⢸⣿⣿⣿⡆⠘⡡⠀⠐⡀⠀⠀ ⠀⡌⠀⠀⢠⠽⠵⣃⣀⣀⠈⢿⡉⢛⠅⠀⡇⡃⠀⠈⢆⠀ ⠀⠡⡀⠀⠘⡴⣖⠻⣶⠿⠣⢄⡈⠉⠐⣄⡷⠁⠀⠀⢀⡆ ⠀⠀⠑⠠⢄⡨⢙⠔⠫⠤⠼⠈⡥⠄⢒⠁⢇⠀⠀⣀⠜⠀ ⠀⠀⣠⠔⠀⢠⠃⠀⠀⠀⠀⠀⠐⢌⠀⠹⡀⠉⠉⠀⠀⠀ ⢰⡁⠱⠎⠀⠈⠢⡀⡠⠐⠒⠂⡜⠈⢢⠀⠑⠀⠀⠀⠀⠀ ⠀⠉⠀⠣⠀⠀⠀⠁⡇⠀⠀⠀⠇⠀⢀⣀⡠⠔⠢⡀⠀⠀ ⠀⠀⠀⠀⠀⠒⠒⠋⠐⢄⡀⠌⠀⠀⠼⠤⠀⣀⣌⠅⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⠤⠶⠶⠶⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣦⣴⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠿⠟⠛⠛⠋⠉⠉⠉⠉⠉⠉⠛⠛⠛⠿⢷⣦⣤⣀⡹⠿⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣴⣶⣶⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣶⣶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⣿⠟⠉⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⠀⠀⠀⠉⠙⢿⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣽⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣷⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⡏⣤⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣻⡀⠀⠀⢤⢠⣼⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⠁⠀⠀⠀⠀⣴⡾⠁⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⠀⠀⠀⠀⠀⠈⢻⣇⠀⠀⠈⣇⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⠀⡀⣀⠀⢠⣿⠃⠀⠀⢀⣾⣿⣿⡿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡷⠀⠀⠀⠀⠀⢸⣿⠀⢠⣠⣿⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢿⣷⣇⣽⠀⢈⡏⠀⠀⠀⠸⣿⣿⣿⣦⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣧⣤⠥⠀⠀⠀⠀⣿⣿⣧⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⠿⣿⣧⣾⣿⡄⠀⠀⠀⠙⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠋⠀⠀⠀⠀⠀⢸⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣿⡇⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢶⣼⣿⣀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀ ⠀⠀⣠⣶⣾⠿⠛⠛⠻⢷⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡿⠋⠉⠉⠉⠛⢿⣦⡀⠀⠀ ⢀⣾⡿⠋⠀⠀⠀⠀⠀⠀⠙⣿⡆⢀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣿⡟⠀⠀⠀⠀⠀⠀⠀⠹⣿⡆⠀ ⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⣷⣧⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⢠⡾⣠⣇⣠⣿⣿⣿⡇⠀⢀⠀⠀⠀⢀⠀⠀⢹⣷⠀ ⣿⣷⡀⠀⣷⠀⠀⠀⣼⣦⣴⣿⠏⠙⠻⠿⣷⡿⠷⣶⣶⡾⠿⠿⠷⢶⣶⣦⣤⣾⣿⣷⣿⣿⠿⠿⠛⠛⠙⠻⣿⣤⣾⣇⠀⢀⣸⣇⣀⣼⣿⠃ ⠘⢿⣿⣾⣿⣷⣴⣾⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠿⠿⠿⠟⠛⠛⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠂⠈⠉⠐⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠤⠤⢀⠀⠀⢀⣀⣜⠀⠀⢀⠠⠐⠒⠺⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡠⠁⠀⠀⠀⠀⠈⡮⠋⠉⠉⠀⠀⠛⠿⡀⠀⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠁⡠⠄⠐⣠⡤⠂⠢⢀⠀⠀⠀⠀⠀⠀⠈⢚⠁⠀⠀⠀⠀⠀⢀⠠⠄⡲⠃ ⠀⢴⠀⠀⠀⢨⠁⠀⠀⠀⠈⠁⠂⠠⢤⡋⠙⣷⣢⠀⠀⢀⢔⠨⣲⢀⠀⠀⠀ ⠀⠈⠐⠠⠤⠞⠀⠀⣴⠟⠒⡄⠀⠀⠈⠳⠶⠗⣠⢟⠫⢂⢅⠪⠂⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⡟⣦⣴⠇⠀⠐⠃⠀⠄⠊⢀⠁⡨⠑⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⠀⠂⢀⠀⠀⠀⢄⡀⠔⠀⠁⡠⠧⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣱⠞⠂⠋⡱⡊⠀⡠⢐⠔⠈⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡶⢎⢁⠤⡂⠝⡈⢐⠄⠊⠀⠀⠀⠀⠀⠀⠨⢓⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡰⠺⠝⢉⢄⡨⠂⠀⠤⠤⠤⠄⠀⠠⠀⠠⠧⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⡠⢂⠕⢋⠄⡪⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢖⣇⡆⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⡒⠶⣤⣄⡀⠀⢸⣷⡄⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣶⠤⣤⣄⣀⣀⣀⣤⠭⠽⢶⣬⣉⡓⠦⣷⡹⣮⣧⡀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⢣⡀⠀⠚⠛⠒⣲⠼⣲⠏⣁⠀⠀⠀⠈⠙⢬⡛⢿⣄⣤⡴⠶⠖⠛⠋⢉⠞⢰⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢣⠀⠀⣰⢿⣾⠿⢺⠟⠉⠀⠀⠀⠀⠀⠀⠈⠀⠙⢷⡀⠀⠀⠀⢠⠋⠀⢸⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠈⢧⡞⢡⠟⠁⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⢰⡧⠄⠀⣸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⢸⡏⠀⠁⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢆⢸⠗⠀⠀⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠈⢿⡆⠀⣸⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡇⡶⢲⣦⣄⠀⠀⠀⠀⠀⠀⠀⢠⣾⠿⠛⢿⣿⣷⣄⠀⠀⠀⠸⡇⢠⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠹⢸⠀⢹⣷⠀⠀⠀⠀⠀⠀⡿⣿⠀⠀⢀⣿⣿⣿⣧⠀⠀⠀⢻⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⣷⣾⣿⡇⠀⠀⠀⠀⠀⢧⣿⣿⣿⣿⣿⣿⠿⣿⠀⠀⠀⠘⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⢷⡙⢹⠇⠀⠀⠀⠀⠀⠀⠹⣇⠙⠿⠿⠄⠀⣿⠀⠀⠀⠀⢻⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢯⠀⠀⠀⠨⣷⠞⠀⠀⣀⣀⠀⠀⠀⠀⠘⠲⢤⣀⣤⠾⠃⠀⠀⠀⢀⢳⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠤⠐⠀⠀⣹⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣯⠳⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢸⣇⣤⣶⣖⣂⣀⠊⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣍⣻⣶⢤⣸⢿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠇⠙⢁⣴⣾⠏⠉⠑⠒⠂⠀⠀⠀⠀⠐⠒⠊⠉⠁⠀⠈⢺⢽⣮⡙⠃⠹⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⣽⣯⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⠻⣽⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⢿⣿⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡹⣜⣝⢷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠛⠁⠈⢱⢻⣞⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⢹⣻⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡟⠉⠀⠀⠀⠀⠀⠀⠈⠛⠷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠉⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⣮⠇⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠈⠱⣄⠀⠀⠀⢀⣆⡜⠁⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣘⣷⣼⣆⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠳⣶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣀⠴⠏⢉⡆⠀⢰⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⣽⣓⡛⠛⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣯⠁⠀⠀⠀⠀⠀⠀⢸⠀⠉⠁⠀⣀⣿⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣬⡿⠍⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣰⠟⠁⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡿⣋⠤⠀⠀⠀⣀⣸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠿⣇⠀⠀⠀⠀⠀⢸⣠⡴⠊⠁⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⡾⠃⠀⠀⠀⠔⠁⠀⠙⢶⣤⣀⣀⣀⣀⣠⠄⠀⠀⣰⡏⠀⠹⣆⠀⠀⠀⠀⠸⡞⣿⠀⠀⠀⢰⡿⠶⢦⡀⠀⠀⠀⠀⠀⠀ ⠈⡽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⢿⣦⣤⣀⡠⣏⣀⣀⣀⣹⣆⠀⠀⠀⠀⢻⣼⣆⠀⠀⡬⢷⣼⣯⣷⠀⠀⠀⠀⠀⠀ ⢸⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠹⢶⣌⡉⠉⢥⠈⣿⣷⣄⠠⠖⢯⠓⣽⣆⣀⣈⣮⡿⠟⠉⠀⠀⠀⠀⠀⠀ ⢸⣿⣸⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⣧⠗⠃⠉⠛⠓⠚⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠻⠻⢷⣢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠑⠚⠓⠦⠤⣜⣦⣐⢦⣐⣦⣀⠀⡀⠀⠀⠀⠀⠀⠐⢮⣳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠙⠛⢏⠛⠿⡚⠿⠒⠦⠽⣷⣖⠦⢬⡿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
If you'd like to report a bug or suggest a feature, you can provide feedback here. Here's our privacy policy. Thanks!
AI Story Generator - AI Chat - AI Image Generator Free