Wings of Fire Emojis & Text

ʚ ℓσνє ωιηgѕ σƒ ƒιяє ɞ

Wings of fire fans!!!!⚠️⚠️⚠️ Don't be discouraged if no one knows what your talking about, I know i have been sad when my classmates are like what ._. But thats ok!!!! Just keeping talking and who cares this is for you!!!! not for them to care!ৎ୭

⠤⢁⠄⠀⠀⠀⠀⠈⠙⠛⠷⣦⡄⡀⠀⠀⠀⠀⠀⠀⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⢀⣴⠟⠁⠀⠀ ⣶⢦⣦⣤⣤⣤⣤⣤⣄⣀⣀⣀⣉⠛⠳⣔⣤⡀⠀⠀⠀⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⡀⣠⡿⠋⣀⣴⠶⠛ ⠠⠀⠀⠀⠀⠀⠈⠀⠀⠀⠉⠈⠉⠉⠉⢛⣻⣿⣷⣶⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣿⡟⣛⠁⠀⠀⠀ ⢂⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡴⠾⠛⠉⣹⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣀⣀⣤⣤⣤⣶⣶⢶⣤⣀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⢯⣍⠙⠛⠛⠛⠛ ⠀⠄⠀⠀⠀⠀⢀⣀⣤⡼⠿⠟⠃⠀⠀⠀⣠⡿⢻⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠿⠿⢿⢻⣿⣿⢿⣿⢿⣼⣿⡀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠀⠘⢿⣄⠀⠀⠀ ⠈⢄⣶⣶⣶⠿⠟⠋⠉⠀⠀⠀⠀⠀⠀⣼⠟⠅⢸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⢷⡯⢗⣻⡖⠓⢒⣃⣤⣄⣠⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠙⢻⣦⡄ ⣼⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠃⠰⠀⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡺⣻⣯⣿⣙⣾⡟⢸⠺⣿⣿⣿⡟⢉⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⠀⠙⢿ ⢡⠀⠄⠀⢀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠁⠀⠀⢰⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣇⠎⣸⢣⡟⢃⣏⣓⢷⡹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡇⠀⠀⠄⠀⠀⠌ ⢢⢉⠄⠃⢄⠀⠂⠀⠀⠀⠀⣼⡟⠁⠀⠀⠀⣾⣿⣽⠨⠀⡀⠀⠀⠀⠀⠀⠀⠀⠠⢿⠀⠁⣇⠊⠠⢞⠋⠉⠉⠑⣽⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡄⠀⠀⡜⢠⡉⠖ ⠥⣊⠌⡅⢢⠈⢅⠂⠄⠂⣸⡿⢁⠀⠤⠀⠀⣿⣿⠇⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⣿⣁⡆⡟⠀⠀⢲⠀⠀⠀⠀⠈⠪⠾⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣿⣿⠂⡀⡐⣌⠣⡜⣩ ⢒⡡⢊⠴⣁⠚⣄⠊⠤⣡⣿⠁⠆⡈⠔⠀⠀⣿⣿⢇⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠈⢙⣏⣴⠹⡠⢀⠠⠐⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡐⠤⡑⣌⠳⣜⡵ ⢢⠘⣌⠲⢌⡓⡌⣍⢲⡿⡡⢎⡐⠬⠀⠐⠀⣿⣯⢧⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠹⣖⡆⠈⠢⡢⠀⠀⠈⠐⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣾⡿⣿⢀⠧⣑⠮⣝⢮⣳ ⢀⢉⡀⢷⡈⢶⢱⣈⣿⢇⡱⢆⡸⠆⠀⠁⠀⣿⣏⢿⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠈⢿⣇⠁⣀⠆⠆⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⣿⡇⡎⢶⣉⡾⣹⡾⢷ ⢈⠢⡘⢆⡙⣆⢧⣿⣏⠞⣔⠣⡜⢡⠂⡁⠀⢿⣿⣟⡀⠄⠂⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣬⠦⠀⢄⠀⠀⠀⠀⠢⠀⠀⠀⠀⠀⠀⠀⢰⣟⣾⡿⢱⡘⢦⡻⣼⣳⢟⡿ ⠀⢢⠑⡎⣵⢪⣿⣟⣬⢻⣌⠷⣌⢣⡘⠀⠀⢸⣿⣿⡷⣈⠁⠈⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣮⠠⡵⠀⠀⠀⠀⢁⠀⠀⠀⠀⢀⠴⢋⣿⢻⢃⠧⣜⢧⣟⣳⢯⣿⠙ ⠀⢢⡙⡜⣶⣻⣟⡾⣼⢳⣎⢷⣊⢦⡙⠤⠀⣼⣿⣿⣿⣦⡑⠀⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣷⡀⠀⠀⠀⠘⠀⠀⢀⠴⡁⣰⠞⣿⣿⢘⢮⡝⣾⡽⣫⠟⠁⠀ ⠀⢥⢪⢵⣣⣿⣻⢾⣽⣳⣻⢮⣝⡮⡵⣉⢦⣿⡿⠀⠈⠙⠻⢷⣦⣀⡅⢠⠐⠠⠄⣀⠀⣠⠄⠢⠂⠝⠋⢻⣿⡒⠠⠄⣀⠀⢐⠆⠂⠐⣴⠟⠉⠀⣿⣏⢞⣮⣽⣳⡟⠁⠀⠀⠀ ⠣⣎⢮⣳⣿⣻⣽⣻⣞⡷⣯⣟⡾⣵⡳⣕⣾⣿⠃⡄⠀⠀⠀⠀⠈⠉⠛⠿⢶⣥⣴⣠⡞⠀⠂⠀⣥⠈⡁⡢⠗⣀⠠⠀⡀⠀⢸⢘⡼⠟⠁⠀⢠⠌⣿⣏⡾⣮⢷⡛⠁⠀⠀⠀⠀ ⠀⠻⣮⢷⣿⣳⢯⡷⣯⣟⡷⣯⣟⣷⣻⢞⣿⢧⣋⠴⡩⢔⢢⡐⡀⠄⡀⢀⠀⣤⣾⢻⠄⠒⡉⠐⡬⠐⠈⠊⡀⠀⠡⠁⠒⠐⠻⣨⠇⣠⢂⡍⢦⡙⣿⣯⢷⣯⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⢫⣿⢷⣯⠿⠙⠓⠯⣟⣷⣻⢾⣽⣻⣟⣳⣎⢷⣙⣎⢦⡱⣍⣶⡷⣞⢿⣛⣬⡻⡌⠡⡀⣷⠇⠁⢀⠀⠈⠂⢁⣐⡀⡼⢨⢈⡗⣦⢳⡜⣧⣻⣽⣯⣟⡞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢺⣿⠋⠀⠀⠀⠀⠀⠘⣷⣯⣿⣾⣿⣽⢳⡞⣯⣾⣼⢣⣷⣾⣯⣷⠛⡏⢹⡌⡆⢱⣤⡞⡍⠈⡄⠀⠑⡄⠈⡄⠀⠀⠀⢸⡌⢹⡞⣧⡟⣷⢻⣾⢳⣯⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡿⠉⠀⠀⠀⠀⠀⠀⠀⣿⣞⡷⣿⣯⣟⣯⢿⡽⣞⣧⣿⡿⣫⣿⢶⣎⣳⡼⣷⢿⠛⢡⠀⠱⡀⢈⠢⡀⢈⠠⠐⠀⠀⠈⣟⠁⣼⡿⣽⣻⣽⣻⢾⣟⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⢿⣟⣾⡽⣞⣯⢿⡽⣞⣯⣿⣟⣯⣿⡿⠿⡽⢃⠁⢃⠀⠳⠀⡑⢄⠀⠉⠐⠠⠤⠄⠐⣸⢧⣾⢿⣽⣳⣟⡾⣽⣻⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠂⠀⠀⠀⠀⢸⣯⣿⣟⡾⣽⣻⣞⣯⢿⡽⣿⣻⡿⣾⣿⣵⢐⢳⡘⡄⠘⡂⠄⡑⢄⠠⠑⠪⠄⢀⠀⢀⣾⣽⣻⣞⡿⣞⡷⣯⣟⣷⣻⡝⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠀⠀⠀⠈⠀⠀⣼⣻⣷⢯⡿⣽⣳⣟⡾⣯⣟⡷⣯⢿⡿⡟⣿⠘⡴⡅⠘⢄⠐⠠⢀⡂⢈⠐⢠⣐⣤⣾⣟⡽⣞⡷⣯⢿⣽⣻⢷⣻⢾⣽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀

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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!!(｡˃ ᵕ ˂ )⸝♡⸜(｡˃ ᵕ ˂ )⸝♡⸜(｡˃ ᵕ ˂ )⸝♡

⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⡞⡀⣤⣬⣴⠀⠀⢳⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡇⠀⢸⣿⠿⣿⡇⠀⠀⠸⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀ ⠀⠀⢠⡾⣫⣿⣻⣿⣽⣿⡇⠀⠈⢿⣧⡝⠟⠀⠀⢸⣿⣿⣿⣿⣿⣟⢷⣄⠀⠀ ⠀⢠⣯⡾⢿⣿⣿⡿⣿⣿⣿⣆⣠⣶⣿⣿⣷⣄⣰⣿⣿⣿⣿⣿⣿⣿⢷⣽⣄⠀ ⢠⣿⢋⠴⠋⣽⠋⡸⢱⣯⡿⣿⠏⣡⣿⣽⡏⠹⣿⣿⣿⡎⢣⠙⢿⡙⠳⡙⢿⠄ ⣰⢣⣃⠀⠊⠀⠀⠁⠘⠏⠁⠁⠸⣶⣿⡿⢿⡄⠈⠀⠁⠃⠈⠂⠀⠑⠠⣈⡈⣧ ⡏⡘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡥⢄⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⢸ ⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⣸⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢨ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡳⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣴⣿⣿⣿⣿⣯⣤⣶⣶⣾⣿⣶⣶⣿⣿⣿⣿⣿⡿⠿⠟⠛⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠁⠈⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⠶⠶⠦⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣟⣡⣤⣾⣿⣿⣿⣿⣿⣿⢏⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠈⠻⡄⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠙⠻⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⣿⣿⣿⡿⠛⠉⠉⠉⠛⠛⠛⠛⠋⠁⠀⠀⠀⠁⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠈⠙⢧⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠙⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⢹⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠈⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⢋⣩⡿⠿⠿⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⣀⡀⠀⠀⠀⠀⠀⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⣿⣿⣿⣿⣿⣿⡄⠙⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣀⠀⠀⠀⠠⣄⣀⣀⡉⢻⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣦⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀ ⠀⢻⡟⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠉⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀ ⠀⠀⠃⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠈⠉⠻⢿⣿⣿⣿⣷⡄⠀ ⠀⠀⠀⠀⢸⣿⣿⡟⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⣿⣿⣿⣿⣿⣧⣀⣀⡄⠀⠀⠀⠀⠀⠀⠈⣿⡿⣿⣿⣷⠀ ⠀⠀⠀⠀⢸⣿⡿⠁⠀⠀⠀⠙⠻⠿⣟⠻⢿⣿⣿⣿⣷⣦⡀⠀⠈⠻⢿⣿⣿⣭⣉⡉⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠸⣿⣿⡄ ⠀⠀⠀⠀⣸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣦⡀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁ ⠀⠀⠀⠠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡴⡖⡴⡖⡴⡄⢰⣀⣶⣰⡂⣶⢰⡆⣶⢰⣆⣰⣀⣆⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣂⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠊⠉⠉⠉⠁⠀⠀⠉⠉⠉⠉⠦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡄⠀⠀ ⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀ ⠀⠀⣜⣷⠬⣏⣍⡷⡦⣄⠀⠀⠀⠀⠀⢀⣠⣤⣤⣒⣖⣤⡀⡇ ⠀⢠⣿⡧⣤⣜⡻⣯⣟⣟⡆⠀⠀⠀⢠⡟⣿⣻⣿⡅⠀⢹⡇⡇ ⢀⣸⣟⣿⣿⣏⡋⡇⣯⣟⡇⠀⠀⠀⣧⣯⣿⣯⡿⣷⣶⡾⡇⡇ ⠀⣹⣟⣿⣿⣷⡏⣟⣷⡟⠀⠀⠀⠀⢟⣿⣯⣿⢟⣯⡏⣳⢣⠃ ⠀⢸⡑⠛⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠈⠉⠙⠛⠟⠏⠇⡏⠀ ⠀⠀⠳⣄⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠄⠀⠀⠀⠄⣸⠁⠀ ⠀⠀⠀⠈⠓⠦⢄⣀⣀⡈⠉⠉⠉⠉⠀⠀⠀⠀⣀⡤⠞⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀

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⠀⠀⠀⢀⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⡿⠋⠀⠉⠙⠛⢷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⢀⠀⠀⠀ ⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠈⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣦⣾⠟⠛⠛⠻⣷⣤⠀ ⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠷⣤⣄⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡾⠻⠛⠉⠉⠀⠀⠀⠀⠙⢿⣆ ⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡶⠿⠛⠋⠉⠉⠉⠉⠉⠉⠉⠙⠛⠻⠷⢶⣤⣤⣤⣾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟ ⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯ ⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣗ ⠀⢿⡄⠀⠀⢀⣠⣴⡶⠶⠿⠻⠷⢶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡶⠿⠛⠛⠉⠉⠛⠛⠿⣶⣄⡀⠀⠀⠀⠀⠀⢸⡏ ⠀⢸⣇⢀⣼⣿⠿⣡⣴⣶⣿⣶⣿⣶⣬⡛⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⢉⣴⣶⣿⣿⣿⣿⣶⣷⣦⡈⠙⠿⣶⣤⡀⠀⢰⡿⠁ ⠀⠈⣿⣿⣟⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡈⠻⣷⡀⣼⡏⠀ ⠀⠀⣽⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢻⡇⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢹⣷⣿⠃⠀ ⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠸⣷⠀⠀⠀⠀⠀⠀⠀⣿⠃⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⣿⡇⠀⠀ ⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢿⡇⠀⠀⠀⠀⠀⠀⣿⡀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⣿⣿⠀⠀ ⢸⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⢹⣇⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣼⡇⠀⠀⠀⠀⠀⠀⠈⣿⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⣿⣟⠀⠀ ⠈⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣸⣿⠇⠀⠀ ⠀⢺⣿⡽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢡⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣧⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣱⣿⡟⠀⠀⠀ ⠀⠀⢻⣿⣶⣤⣄⣈⡉⠉⠉⢉⣁⣀⣠⣼⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣦⠉⠻⠿⣿⣿⣿⣿⣿⣿⡿⢛⣴⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠛⢿⣯⡉⠛⠛⠛⠛⠛⠋⠉⠉⠁⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠷⣶⣤⣄⣬⣩⣉⣭⣤⣶⢿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠙⠻⠿⣶⣤⣤⣄⣀⣀⣀⣠⣠⣤⣴⡶⠆⠀⠀⠀⠁⠉⠀⠁⠉⠀⠁⣠⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⣶⡤⣤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡶⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠙⠛⠛⠻⠶⠶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣴⠞⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⡄⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠹⣷⣄⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀⠈⠻⣿⣦⣄⣀⢀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣤⣤⣤⣶⣶⠿⠋⠀⠀⠀⠀⠀⠈⠉⠋⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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*⠀⠀⠀⢀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀ ⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀ ⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀ ⠀⡇⠀⠀⠀⢀⡶⠛⣿⣷⡄⠀⠀⠀⣰⣿⠛⢿⣷⡄⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⢸⣷⣶⣿⣿⡇⠀⠀⠀⢻⣿⣶⣿⣿⣿⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠈⠛⠻⠿⠟⠁⠀⠀⠀⠈⠛⠻⠿⠛⠁⠀⠀⠀⢸⠀ ⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀ ⠀⠀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣚⡁⠀⠀ ⠀⠀⠀⠀⠈⠙⠒⢢⡤⠤⠤⠤⠤⠤⠖⠒⠒⠋⠉⠉⠀⠀⠉⠉⢦ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⣤⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⢠⣿⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⢸⠘⡆⠀⠀⢸⣀⡰⠋⣆⠀⣠⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠤⠤⠼⠀⠘⠤⠴⠃⠀⠀⠀⠈⠉⠁⠀*

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣻⡿⠿⢿⠿⣓⠬⢻⣿⣿⣿⣿⣿⣿⣿⢱⣛⣾⣿⣞⡷⣯⢿⣿⣲⢿⣜⣎⡜⢣⠚⡔⢪⠝⡻⠿⢿⠿⡟⠯⣜⢣⡟⡵⢯⣳⢯⡗⣧⢻⡜⢧⣛⣿⣿⣿⣿⣿⣿⠸⡌⠎⠱⠟⠛⠉⢉⢩⡍⣱⢫⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⡧⢒⡜⣤⢛⡴⣊⢿⣿⣿⣿⣿⠿⣋⠼⣹⢿⣿⣻⢷⣛⣾⡽⣟⣮⣍⣛⠓⠾⠶⠷⠮⣴⣧⣶⣼⣄⣳⣄⣻⣌⣳⣳⣎⣟⣬⣳⣭⠮⠷⠾⠛⢻⣿⣿⣿⣿⡟⣢⠱⢠⠂⢤⠰⣰⣾⣾⣷⣍⢺⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⢣⣋⡜⢦⡻⣜⡵⢮⡽⣭⢻⣜⣣⣍⢞⣥⣿⢿⣹⢯⣟⡾⣽⣻⣾⡽⠋⠉⠓⠲⠦⠤⢤⣀⣀⣀⣀⣉⣉⠁⠉⠉⠉⠉⠁⠀⠀⣀⣀⣠⣤⡤⢾⣿⣯⠛⢟⢳⣄⢣⢣⡙⣌⠣⣽⣿⣿⣿⢏⢶⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⢷⣮⣼⣇⣯⢳⣝⡳⣽⢺⢷⣺⢳⢮⢿⣻⢾⣹⢯⣟⣾⣻⣽⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⣿⢸⣹⣿⣿⣎⠠⢙⣧⡗⣶⢯⣶⣹⡴⣙⣯⣱⣮⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣜⡹⠎⣛⠳⣛⠻⢻⢟⣳⢯⡟⣾⡱⣞⣳⡟⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣿⣏⠼⣿⣆⢬⣻⡽⣞⡯⣟⣟⢿⣛⣛⣿⡽⣺⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠷⠶⢶⣶⣧⣮⣵⣯⡾⣵⡧⣍⡿⠀⠀⠀⠀⠀⠀⠀⣠⠞⣡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣌⡳⢜⠿⣷⢻⣝⣳⡻⡽⢮⢷⣫⢞⣿⡿⣱⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠸⣿⡆⠀⠀⠀⠀⠀⠀⠈⢁⠔⠁⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣵⢊⡜⣆⢫⡜⣱⠯⣝⢯⡞⣧⢻⣿⣷⢯⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠃⢀⣼⠟⠀⠀⠀⠀⠀⠀⢠⠴⠋⠂⢨⡇⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣮⢱⢊⡜⢢⡜⣱⢛⡼⣣⢟⡼⣳⢺⣟⡏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⢀⠊⢀⡮⡱⣱⣮⣷⣿⣿⣿⣶⣍⡖⢣⠚⣥⠳⣽⢷⣟⣯⢾⣧⣛⡾⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡧⠱⣿⣿⣿⡿⣋⢔⣿⣿⣿⣿⠧⡹⣌⢳⣛⣿⣞⠴⢣⢏⡾⡽⣩⣾⣿⠋⠀⠀⡀⠐⠀⠀⠄⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣷⠀⠀⠒⡟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠛⣤⠛⣬⣿⣿⣯⣷⣾⡝⢳⣯⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠁⠀⠀⠀⢳⠋⠒⢡⠊⠉⢩⠉⡇⢳⢱⣮⢳⡜⡆⢻⣿⢡⡏⢳⢡⣷⣿⠁⠀⠀⠀⠀⡄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣀⠀⡚⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣌⠳⣍⢾⣱⢻⣾⡿⣽⢶⡻⢯⣟⢮⡟⣽⠷⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠂⠈⠀⢀⣼⢫⠜⣢⡥⢎⠵⣊⠵⣌⣿⣿⣿⣷⣳⡝⡲⡜⡏⢞⣡⣿⠟⠁⠀⠀⠀⠁⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣤⠑⣛⢿⣿⣿⣿⣿⣿⣿⣿⣿⡗⢬⣓⢮⣳⣭⢿⣿⢿⣹⣮⣽⣷⣾⣽⣾⣵⣿⣳⣚⣝⣻⡛⢷⡤⣶⢦⠀⠀⠀⢰⣿⠀⠀⠀⠀⣼⣯⣾⣿⣿⣿⣿⣾⣅⠞⡰⢎⡿⣿⢿⣯⣿⡱⣱⣩⣿⠟⠁⠀⠀⠀⠀⡀⠂⠀⠈⠀⠠⠀⠀⠠⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⡿⣔⠪⡝⢿⣿⣿⣿⡿⢟⠯⣜⠶⣹⢎⡷⣺⣿⣟⡾⠛⠉⠉⠉⠁⠈⠉⠉⠉⠉⠉⠛⠛⠛⠿⠿⢶⣿⣦⣀⡀⢸⣿⠄⣡⠀⠄⣻⣿⣿⣿⣿⣿⣿⣿⣿⡎⡵⢫⣜⢧⣛⠶⣿⣷⣾⠟⠁⠀⢀⠀⢀⠂⠐⡀⢈⠀⡁⢂⠁⡀⠡⢀⠠⠐⠈⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⣗⢼⡡⢖⡩⡖⣭⣛⠾⣬⢳⣝⣮⣷⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠹⣻⢿⣿⡂⢴⠈⠄⢏⣿⣿⣿⣿⣿⣿⣿⣿⡗⣭⠳⣎⠿⣸⢹⣿⠟⠁⢀⠠⠈⢀⠀⠂⠈⠐⢀⠂⡐⠀⠂⡀⠐⡀⢀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣷⣭⣾⣵⣣⣭⣷⣽⡾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣻⣯⡦⣉⠼⣨⠜⡻⣿⣿⣿⣿⡿⡟⡜⣦⠻⡜⣭⢣⣿⡟⠀⠀⠀⠀⠀⠀⠠⠀⠀⠐⠀⠀⠀⠐⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡻⣿⣭⣓⢦⢫⡕⣎⠵⣍⠶⡱⣎⠵⣣⠟⣼⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢷⣷⣞⣬⣛⣬⣳⣝⣬⣷⡷⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣿⣿⣿⣿⣿⣿⣯⣥⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⣴⠟⢗⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡛⠛⢹⣿⠀⠀⠀⠀⠀⠀⡇⠀⠈⠋⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⡿⠎⠀⠀⠀⠀⠀⠀⠻⠶⠶⠝⠋⠀⠀⠀⠀⣠⢤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠼⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢶⡆⠀⠀⠀⠀⢰⠛⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠀⠍⣇⠶⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢲⠒⣲⡦⠼⠁⠀⢿⡀⠀⠀⠀⢸⡁⠀⡀⡙⠦⣄⣂⡶⠶⠿⠟⠛⠁⣠⡤⣦⣺⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⡀⠀⠀⠀⢰⡇⠀⠀⠀⠀⣧⠀⠈⠀⠀⠈⠫⣤⠖⠒⠀⠀⠀⠀⠀⣴⣮⠹⢷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⣒⡶⠋⠀⠀⠀⠀⠀⡿⡆⠀⠀⠀⠀⠀⢀⣠⣤⡀⠀⠀⠀⠀⢽⣿⠀⣨⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⢹⣻⣿⣿⡇⠀⠀⣴⣿⡆⠘⠛⠹⡡⢀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠉⣉⢭⣶⡆⠀⠉⢻⡇⢀⠀⢠⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢳⡄⠀⠀⠀⠀⠠⡞⣩⢓⡞⠐⠒⠶⠚⠉⡅⣘⡐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠛⠷⣤⣆⠀⢁⠾⠁⢣⡇⠀⠀⠀⠀⠀⢜⡞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠙⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢑⠆⠀⠀⠀ ⠀⡖⣒⡦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣏⡀⠀⠀⠀ ⢸⣟⠉⠉⠙⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡄⠀⠀⠀ ⠈⠓⢷⡄⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣧⠀⠀⠀ ⠀⠀⣴⡇⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⣞⠟⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⢸⡎⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠃⠀⠀⠀ ⢸⠀⠀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢽⠀⠀⠀⠀ ⢸⡄⡰⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢀⠀⠀⡞⠀⠁⣿⠀⠀⠀⠀ ⠈⢧⠧⣱⡀⠀⠀⠀⠀⠀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⣸⠀⣰⠃⠀⠀⣿⠀⠀⠀⠀ ⠀⠘⣷⡈⠻⣄⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢀⡇⢠⣧⡇⠀⠀⢽⠀⠀⠀⠀ ⠀⠀⠈⢣⡀⠈⠓⠶⣖⠂⠻⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⢸⡷⠟⠸⡇⠀⠀⢻⣇⠀⠀⠀ ⠀⠀⠀⠀⠙⠶⢤⣴⣂⣒⣒⣻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠊⠭⣭⡽⣇⠀⠀⡏⢷⡀⠘⣷⡀⠀⠀⠙⢳⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⡤⣀⣀⠀⠀⠀⢀⣼⠇⠀⠰⡌⢳⡿⡄⠀⠀⢧⡱⡄⠀⠻⢶⣔⣾⠿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠚⠉⠻⠶⠼⠿⠛⠉⠉⠻⣍⣳⣴⣷⠗⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣁⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⣀⣔⢷⢼⣆⠀⡧⣄⠀⡧⠀⡜⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣰⠰⣤⢻⢻⣻⣿⣞⡏⢸⠻⠗⣾⠀⡸⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⢄⣰⣹⣵⠳⢿⠝⠟⠟⠛⠟⠚⠛⠘⠒⠓⠞⠻⠤⣀⣤⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣨⣭⣵⣷⣿⣷⣶⣷⣷⣿⣾⣿⣷⣶⣾⣿⣿⣷⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⣿⣿⣿⣟⡻⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⡿⠏⠉⠻⢿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠽⣿⣿⣿⣿⣿⣿⣶⣿⣟⣿⣿⣿⣿⣿⡇⢻⣽⣿⣿⣿⣿⣿⣻⣷⣶⣽⣽⢿⣿⡏⣀⡀⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⡛⣾⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⣿⡇⠸⡇⠙⢿⣿⣿⣿⣿⣿⣿⣿⡿⠈⠙⢧⡀⣙⣶⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⣿⣛⡯⢿⢋⠣⣀⠈⠙⠛⠛⠛⠛⠉⠀⠀⠄⣿⠅⢦⣷⠳⣄⠉⠙⠛⠛⠛⠛⠉⠀⠀⠀⢈⡆⠶⣿⣿⢣⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣿⣿⣿⠭⠏⠀⢎⢰⢄⡔⠀⠀⢀⡀⠀⠀⠀⣌⣻⠀⠠⢿⡂⢹⡿⢖⠠⠀⠀⠀⣀⠀⢀⠠⠀⢷⢴⢦⣿⣧⣷⠀⠀⠀⠀ ⠀⠀⠀⣨⣾⣿⣯⣭⢿⢤⣿⣿⣟⡵⣲⠮⢭⣛⡐⡝⢣⣘⣞⠈⠀⠀⠸⢣⠀⣗⡏⢈⡭⡭⠭⢥⣊⠻⣽⠥⡈⣷⠶⣦⣿⣆⠀⠀⠀⠀ ⠀⠀⣸⣿⣿⣿⣿⣿⣟⣾⣿⣿⡵⠯⠓⣚⠒⠺⣽⣞⣌⢯⢳⠍⠀⠀⢀⣜⣀⡜⣿⣥⢤⡝⠧⠤⠮⣵⣿⣟⡒⢿⡽⣿⣿⣽⡆⠀⠀⠀ ⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢗⡯⠽⣄⣛⠲⣾⢮⠪⠿⠁⠀⠀⠀⠀⢠⣧⠞⢹⡞⠁⠠⣼⣂⣄⡈⢿⣿⣿⡽⢿⣿⡿⣿⣿⡆⠀⠀ ⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⡽⡶⣭⣒⢄⠉⠻⢿⣶⣀⡀⠀⠀⢀⣨⣶⡾⠛⠉⠀⢉⠭⠱⣒⡝⢻⣿⣷⣾⣿⣿⣿⣿⣿⣿⠀⠀ ⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢧⢾⣗⣎⣗⣒⡠⣄⠉⠻⠿⠶⠾⠿⠟⠉⠀⠀⢀⠤⢴⣞⣭⣭⣽⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢾⣳⣿⣽⣿⣿⡿⣷⣶⣾⣤⣿⣿⣶⣗⣲⣦⢬⠽⣯⠿⣛⡽⣶⢍⡙⣺⣿⣿⣿⣿⣿⣿⣿⣯⣙⡿⢀ ⣿⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⡷⣯⣽⣿⣿⣾⣿⣿⣧⣿⣽⣻⡿⣷⣗⣿⣯⣷⡠⠹⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣻ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣏⠋⠟⡻⣿⢿⠇⠀⠈⣿⣿⣹⣿⢿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡿⣿⢽ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⠻⣿⣯⣌⣈⣁⣼⣄⣀⣀⣰⠿⣿⠋⢹⣼⣿⢏⣿⣛⣯⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣼ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣿⣿⣿⣿⣴⣻⣉⣻⣏⣉⣉⣯⣉⣉⣹⣤⣬⣦⢿⢿⣯⡿⢷⣪⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣷⣿⣿⣿⣿⣿⣿⢷⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢿

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🐱🐈🐈‍⬛😸😽😻🐾😺😹😼🙀😾😿🐇🐰🐢🐶🦭🐆🐅🦚🐁🐀🐼🦨

꒰ᐢ. ̫ .ᐢ꒱<( Hiiiii) ㅤ/ᐠ - ˕ -マ<(wah wah)✿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡀⠀⣠⡀⢀⣴⣾⡇⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡯⣳⡾⢻⣷⠯⠽⠿⠯⣉⣩⣿⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⣾⠛⡽⠷⠛⠀⠀⠀⠀⢤⡤⠟⠋⣜⣏⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣷⣶⡌⠃⠀⠠⠞⣿⣍⡓⢦⡀⢣⣀⡰⣿⣟⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣇⣇⣇⡀⠀⠰⢋⣈⡏⠙⣧⠱⠀⠉⠛⡹⢸⡈⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣖⠛⠋⠉⠉⠓⢧⡀⣿⣄⢀⡿⠀⠀⠀⠀⠀⢨⡿⣭⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣇⠀⠀⠀⠰⠄⠀⠀⠈⠉⠉⠋⠀⠀⠀⠀⠀⠀⡸⠙⣎⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢏⠑⠢⡀⠀⠀⠀⠀⡠⠃⠀⠀⠀⠀⠀⠀⣶⣧⣤⡿⢀⣀⣤⢿⡙⢦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠓⠦⠬⣑⣒⣒⡯⠴⠦⡤⠤⠤⠖⠀⠀⠏⠹⣾⣫⠭⠭⠴⠚⠙⣌⢧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⣿⠲⣄⣽⡉⣹⣷⡶⢦⣼⣀⡀⠘⣾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢁⡖⠀⠀⣿⡀⡘⢯⠻⡟⠁⠙⢆⠉⠉⠉⢳⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠊⠀⠀⠀⢸⢸⣿⣸⠀⢯⠉⠒⢌⣧⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⢾⣾⠿⠃⠀⠈⣿⠟⠉⠉⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⢦⡀⠀⠀⠀⢀⡴⠒⠋⠙⡿⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⣏⡒⣄⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡇⢀⠙⢦⠀⢰⠏⠀⠀⠀⠘⡇⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠹⡟⠛⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⡏⢦⣈⣇⣟⠀⠀⠀⠀⠈⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢧⠀⠀⢆⢸⡄⠀⠀⠀⠀⠀⠀⠀ ⠻⠞⣇⠈⠹⣄⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢠⣷⠼⠃⠀⡼⣸⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡄⢻⣮⡳⢿⣄⠀⠀⠀⠀⠀⠀⢀⣠⠔⠃⠀⠀⡖⠒⠲⡽⠁⠀⠀⢠⡧⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⡄⠉⢾⣴⢮⠉⠛⠒⠒⠒⣉⠉⠀⢸⡟⠲⡄⢸⠷⠞⠁⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢦⡀⠉⠛⠰⢯⣙⡆⢰⣇⣙⡆⠸⠓⠊⠉⠀⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠦⣄⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⠦⢤⣄⣀⣀⣀⣤⠶⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⠶⡶⡶⣶⣶⣷⢶⣷⣶⠞⣻⠶⢶⣶⡶⡠⡀⠀⡐

⠀⠀⠀⠰⠶⣖⠒⠒⠒⢦⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠉⠉⠉⠉⠒⢤⠀⠀⠀⠀⠀⠀⠀⢠⠎⠉⠉⢉⡩⠆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⠽⠂⠀⠘⢆⠀⠀⠀⠀⠀⠀⡞⠀⣀⠀⠀⠀⠀⠀⠀⠑⢄⡀⠀⠀⠀⢠⠏⠀⠀⠺⣅⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠊⠁⠀⠀⠀⠀⠀⠳⢄⡀⠀⠀⢠⡇⣄⠉⠉⣰⠗⠒⢲⠄⢀⡠⠇⠀⣠⠖⠁⠀⠀⠀⠀⠀⠙⠢⡀⠀⠀⠀⠀ ⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠢⠼⡇⣿⢄⡀⠓⣒⣶⣈⣉⡭⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀ ⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⣿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀ ⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀ ⡟⠀⠀⣠⣴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡌⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⢄⠀⠀⠀⡇⠀ ⢳⠀⡼⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠱⡄⢸⠇⠀ ⠘⠒⠃⡏⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡼⠁⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢸⡄⠓⠞⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⣠⠞⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣣⠞⠁⠀⠀⠀⠀⠀⠀⠀⢸⣝⢦⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀ ⠀⠀⠀⢱⠀⠀⠀⣰⠃⠀⠘⡆⠀⠀⠀⠀⡄⠀⠀⢠⣾⠟⠁⠀⠀⠀⠀⡀⠀⠀⠀⠀⡞⠈⠀⢣⠀⠀⠀⣼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠳⡀⢠⠇⠀⠀⠀⠱⡄⠀⠀⣼⡗⠀⠀⣿⡏⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⡼⠁⠀⠀⠈⡇⠀⡰⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠘⠀⠀⠀⠀⠀⠈⢦⣘⡏⠹⡀⠀⣿⠀⠀⠀⠀⠀⠀⡼⠉⣇⣠⠞⠀⠀⠀⠀⠀⠑⠚⠁⢀⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⣻⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠚⠉⠀⠀⣀⡉⠢⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⢀⠶⢿⠀⠀⠀⠀⠀⠀⣀⠤⠚⠁⠀⠀⣀⠴⠚⠉⠀⠈⠉⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⡏⠀⠘⢧⣀⣀⡠⠔⠋⠁⠀⠀⢀⡤⠊⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⣆⠀⠀⠀⠈⠀⠀⠀⠀⢀⡠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠤⣀⣀⣀⠤⠖⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣷⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⣿⣿⣿⣼⣿⣏⣿⣻⣽⣻⣽⣻⠿⣽⣻⠿⣽⢯⡿⣽⣻⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠿⠿⠿⠟⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣷⣙⣾⢧⡷⣯⢿⣳⢯⣟⣯⢿⣹⢷⣯⢾⣝⡿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⣿⣿⣿⣿⣿⣿⣽⣯⡟⣟⡾⣽⢯⣟⡿⣞⡿⣾⣝⣯ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⣿⣿⣿⣿⣷⣿⡹⣿⣭⣟⡾⣽⢯⣟⡾⣽⣞ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣾⣽⣻⣽⣻⢾⣽⣳⢾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣇⣻⣟⡾⣽⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⠀⠀⠀⠀⠀⢀⣀⣤⣴⣾⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡿⣿⣿⣿⣿⣾⣿⣳⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣧⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣽⣿⣻⣿⣿⣿⣯ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣽⣿⣳⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣾⣿⣳⣿⢾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣩⣭⣤⣮⣼⣷⣶⣶⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣷⣿⢯⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣽⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣽⣳⢿⣽⣻⣿⣯⢿⡽⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣾⣽⣿⣿⣿⣿⣯⣷⣹⢾⡹⣿⢽⣉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢯⣿⣿⣿⣿⣿⣿⡿⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⢻⣽⣳⢿⣿⢞⣿⣿⢳⣯⢿⣿⢳⣹⢾⣮⡷⡿⣿⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢯⡿⣽⣿⣿⣿⢿⡿⣿⡹⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣳⢾⣹⣿⣵⣫⣿⡹⢾⣿⠛⢻⣷⣳⣜⣿⣿⣿⣿⣿⡿⢿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣾⣽⣿⣾⣽⣿⡟⠌⣿⡟⣿⡼⣿⣿⣿⢯⣷⣞⣿⣷⣯⣛⣷⣿⣾⣟⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣯⣿⢷⣻⣟⡿⣽⣣⣷⢫⣝⣻⡿⣿⣿⣿⣿⣿⣿⣿⡿⣩⣿⠋⠙⣿⣿⣷⡀⢈⣿⣟⡾⣽⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢯⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⢮⣷⣻⣾⣽⠿⡉⣾⣿⣿⢳⣟⣲⣽⣿⣿⡛⢛⣛⣛⣻⣋⣟⣿⣛⣿⣟⣛⣿⣛⠿⣿⣿⣿⣿⣿⣿⣯⡞⣭⢿⢾⣿⣹⢯⣷⢾⣧⢻⣷⡻⡽⣿⣿⠛⢿⣿⣿⢿⣶⣤⣿⣧⢻⣿⡿⣻⢯⣛⡷⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⡿⣞⣿⣿⣿⣢⣽⣿⣿⣿⣿⢿⣽⣾⣻⣿⡿⢻⣶⣵⣿⢿⣏⠾⣽⢏⠿⣽⣿⣷⣾⠿⠿⠿⠻⠿⠿⠿⠿⢿⠿⣿⢿⣶⣿⣿⣿⣿⣿⣿⣿⣷⣽⣮⡜⣽⣛⣾⡹⣾⣽⣮⡹⣧⢷⣻⣿⣤⣸⣿⣝⣎⣿⣟⠯⣟⣞⢻⣧⣻⡞⡻⢧⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣟⡿⣟⣾⣿⠿⣋⣵⣾⣿⣟⣯⣛⣯⠻⣽⢾⣽⣳⣿⣿⣿⣿⣶⡅⢣⠌⣷⡘⣌⢊⠷⣜⢲⣜⣯⠍⣙⠻⣿⣿⣿⣿⣿⣿⣿⣽⡶⣏⢟⣳⣭⣟⢿⣛⣮⢷⣭⢻⣿⣿⡿⡿⢿⣿⣿⡿⣬⣯⢷⣹⢯⡷⣟⡾⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣷⣿⣿⡿⠿⣫⢭⣠⣿⡿⣟⣿⣿⡷⣯⣳⠿⣟⣎⣿⣽⣿⣿⣿⣿⣿⣿⡱⢎⣿⡗⣬⢫⡝⣎⠳⣾⡿⣃⢦⡑⠤⡙⢿⣟⠻⣿⣿⣿⣿⣿⣫⣷⣣⢿⡞⣿⣱⢫⡾⣷⣿⣟⡷⣽⢳⡞⣿⣿⣳⡭⣞⣯⠮⣽⠏⠿⣽⣿⣿⣿⣿⡿⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢻⠉⢉⣏⡽⣋⣭⣰⣆⣴⣿⣿⣿⣿⣾⣿⣿⢿⡿⣵⣯⢻⣼⣛⡾⣿⣿⣿⣿⠿⣙⢦⠳⣍⣾⣿⣴⣧⣾⣬⣿⣯⣳⡍⣶⠸⣄⡱⢋⠽⣷⡎⢻⣿⣿⣿⣿⣷⣫⣷⢻⣟⡹⣻⣗⢶⣻⣿⣾⣵⣿⣾⣿⣷⢯⢷⡟⠛⣿⡿⣶⡞⣿⣿⣿⣿⣿⣷⡀⠙⠿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣧⣏⣿⢻⡾⡽⢧⣟⢿⣿⣿⣿⣿⣿⠿⣿⣹⢯⣟⡽⣣⣿⣯⣿⣿⡿⢿⡛⡽⣧⣛⣼⣾⠿⠟⠛⠉⠉⠉⠉⠉⠉⠙⠛⢿⣷⣿⠾⣅⠣⢂⡹⣿⡆⢿⣿⣽⣻⢿⣿⣷⣻⠾⣵⡟⡼⣯⢳⣝⣿⣿⣫⣿⠟⠛⢿⣿⣷⣴⣿⡷⣽⢞⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣝⣻⡼⣽⣏⢷⡽⣟⣾⣿⣿⣿⣿⢯⡞⣿⣱⡿⣾⣝⣿⣿⡿⣛⢯⡱⢎⢧⣹⣶⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡌⣇⠆⡡⢺⣿⡤⢿⣷⣯⢻⡶⢿⣿⣣⣝⡿⣹⢝⣿⡄⠠⣹⣿⣿⣄⣤⣾⡟⣿⣓⡾⣿⡼⣯⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡿⢿⣫⢷⣳⢯⣛⡷⣧⣟⣯⣿⣿⣿⣿⣯⣟⡾⣯⣽⣳⣯⣿⣿⠟⣯⢣⢿⣜⣦⣽⣾⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠸⡄⡑⢢⢻⣧⠸⣿⣯⢷⣟⣳⢯⡻⡝⣷⣭⡾⣏⢿⣿⣿⣱⣞⣿⢻⡿⣵⢯⡻⣽⣞⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⡿⣿⢳⣯⢳⣻⡼⣯⣝⣷⣿⣿⣿⣿⣿⣿⣯⣟⡾⣽⣷⣯⣿⢟⣫⣖⣽⣶⣿⡾⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⣦⣍⢦⡹⣿⠔⣿⣿⣳⢻⣞⣯⣵⣫⣟⡼⣱⣿⣿⢻⡻⣟⣿⣾⣯⣳⣽⢫⣿⣱⠾⣽⣿⣿⣿⣿⣿⣿⠀⠹⠿⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣤⣾⣿⣿⣿⣿⣿⡿⣏⡷⣏⡳⣞⣯⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢾⣽⣿⣿⣿⣷⡿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⣁⠆⡌⢢⡐⣿⡆⢾⣿⣽⢻⣶⣭⢿⣥⣻⠾⣽⣿⣞⢧⡻⣵⣻⣿⢧⣝⣾⣣⡾⣽⣻⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⢿⣏⠿⣽⡚⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣷⣿⣿⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠓⠤⢚⡘⠤⡑⣿⢇⣸⣿⣯⢿⡼⣏⠾⣜⣧⡻⣜⣿⣿⣯⣷⣿⣿⡟⣻⢮⢧⣝⣷⣻⣿⣿⣿⣿⠛⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣮⣟⠾⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣹⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⢡⠩⡘⢄⠣⢂⠵⣿⣂⣼⣿⣯⢯⣽⣛⣿⡏⠙⠛⣿⣷⣮⡽⣻⡼⣏⢙⣯⢻⡍⣺⣷⣿⣿⣿⣿⣿⡅⠘⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⠿⣜⡧⢿⣙⣾⣿⣿⠃⣿⣿⣿⣿⣿⣿⢿⣭⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⢉⠏⡳⠼⣌⢦⣉⣾⡟⢠⣿⣟⣯⡟⣷⢮⣾⠿⣷⢿⣿⣣⣟⣦⢤⣻⣼⣟⡺⣿⣹⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⠁⠀⠀⠀⠀⠀⣾ ⠀⠀⢿⣿⣿⣿⣿⣿⣿⡿⣭⣻⣽⣿⣿⣿⣿⠏⢰⣿⣿⣿⣿⣿⢿⣻⣾⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⡄⢣⡘⡄⢣⠘⣤⣿⠏⢹⣿⡿⣟⣮⢿⣝⣮⣿⣷⣭⣿⣟⢿⣻⣿⣿⢣⡽⣾⢹⢷⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿ ⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠁⣠⣾⣿⣿⣇⣼⣿⢯⣷⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⢃⠎⡔⢣⠰⡘⢤⣿⠟⢉⣻⣿⣿⢿⣹⢾⣙⣞⣳⡜⢮⣿⣷⣯⣞⣵⣿⣿⣳⡟⢯⣷⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿ ⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣀⣰⣿⡏⢉⣿⣿⡿⣽⣻⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠱⢮⡰⢌⠢⡑⣼⡿⠋⢲⣾⣿⣿⣹⢾⡭⣛⣿⡟⠙⢻⣿⣋⡟⣿⢿⠿⣿⡱⣮⢿⣷⣿⣿⣿⣿⣿⡿⠸⣿⡿⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡟ ⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⠁⢀⠀⠐⣿⠿⣿⣿⣿⣿⣿⣽⣿⣽⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠟⡨⡑⢢⠉⢎⣱⣿⠟⢱⣼⣿⡿⣟⢾⣧⢯⡷⢿⣹⣿⣶⡿⢿⣶⡽⠟⣯⣞⣷⣠⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠉⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⢟⡸ ⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⡀⠺⣿⣾⣿⣶⣿⣿⣯⢿⣿⣼⣽⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠋⢆⡱⠘⠤⣉⣶⡿⢡⣰⣾⣿⡟⣻⡽⣻⣎⣿⡼⣏⡷⣫⣷⣿⣾⣾⡥⢦⡽⣏⣶⣻⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⢋⠦⡱ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠛⠀⠀⠈⠻⢿⣿⣷⣾⣽⣿⣾⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⢃⠟⣤⢢⠙⣰⣿⠏⣀⣷⣿⣟⣛⢾⡳⣟⢷⣩⢾⡱⣭⣻⣿⢯⡗⣯⢿⣿⢯⡿⣼⣷⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⢍⢎⡱⡱ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠱⣈⠒⡄⢣⣹⡿⢉⣶⣿⣿⣛⢾⣹⡟⣷⢯⠷⣾⣿⣿⣷⡿⣿⣿⣼⣯⣿⣿⣯⢿⣳⣿⣿⣿⣿⣿⣿⠃⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠟⡰⣉⠦⡱⡱ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⡰⠑⡌⠱⣨⣿⠛⣴⣾⣿⣟⢧⡿⣞⢷⡻⣝⣯⢾⣿⣏⠀⣛⢿⣿⣟⣻⢻⣟⣼⣯⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⢋⡜⡱⡘⢦⠱⣱ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠓⠺⡤⣍⡰⣹⡿⣡⣰⣿⡿⣽⣎⡟⣷⢾⡻⢷⣞⣾⣣⣞⣿⣿⣳⡦⠛⢿⡾⢟⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⣡⠣⣘⠱⣙⠦⣹⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⢃⡌⡱⠐⡤⣽⡿⢱⣾⣟⡯⣟⣧⢟⡹⣟⣶⡹⣿⣜⣶⣿⢻⡟⣿⣿⣿⣦⣼⣄⣤⣿⣿⣿⣿⣿⣿⣿⡏⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠋⡔⡡⢓⡌⢳⣈⣿⢯⡷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⣁⠣⠰⣁⠳⣼⣏⣰⣿⣿⢏⢷⡾⣼⣯⣳⡞⣷⡽⣼⡟⣻⢿⣷⣿⣷⣿⢧⡿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⡡⠙⢦⡱⠡⡜⢲⣾⡿⣯⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠲⢤⣃⢣⢰⣿⠏⢨⣿⣿⣏⡿⢾⡽⣖⣧⣻⡵⣮⡽⠿⣷⣿⣾⣭⣿⣿⡾⠿⢾⡽⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣰⡾⢋⡜⠰⣉⠆⣑⢣⣾⣿⢿⡽⣯⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠰⠡⢆⡉⢲⣿⠏⢸⣿⣿⣣⢿⡽⣶⣻⡳⣜⡯⢷⣻⣷⡴⠋⢿⡏⠉⣧⣀⣼⢦⣰⣍⣺⣿⣿⣿⣿⣿⠻⢿⠟⠀⠀⠀⠀⠀⠀⢀⣼⠟⣵⢂⡌⠣⠔⡌⣴⣿⡿⣯⢯⣿⣿⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⢈⠅⡓⢢⠘⣽⠿⢴⣿⣿⢧⣻⡟⢾⣵⣹⡟⣽⢯⣿⣷⣿⣿⣿⣾⠿⣿⣿⣽⣻⢮⣿⣻⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⣴⡿⢋⠴⣈⠣⣜⡡⣞⣼⣿⣯⡽⣯⣿⣿⣽⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⣁⠎⡰⢁⣆⣿⣏⣠⣿⣿⣯⣟⣧⢿⡻⢶⣯⡹⣯⢿⣷⣧⣿⣿⢟⣳⣟⣾⣱⢫⡷⣭⣿⣻⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⣤⡿⣏⣰⢡⠒⢤⢃⣼⣿⣿⣟⢿⣶⣻⣿⣿⣿⠿⠋

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➖🟥🟧🟨 🟩🟦🟪🟥🟧 🔲⬛🟨🔲⬛ ⬛⬛🟩⬛⬛ 🟦🟪🟥🟧🟨 ➖🟩🟦🟪🟥🟧🟨🟩 ➖➖🟦🟪🟥🟧🟨🟩 ➖➖🟦🟪🟥🟧🟨🟩 ➖➖🟦➖➖🟪➖🟥

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣠⣼⠀⠀⠀⠀⠈⠙⡆⢤⠀⠀⠀⠀⠀⣷⣄⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⡿⢿⡷⡆⠀⣵⣶⣿⣾⣷⣸⣄⠀⠀⠀⢰⠾⡿⢿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣽⣿⣿⣿⣿⡟⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⣻⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠐⣻⣿⣿⡏⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣟⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⡄⠀⠀⠀⠀⢻⣿⣿⣷⡌⠸⣿⣾⢿⡧⠀⠀⠀⠀⠀⢀⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⡿⢛⣵⣾⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⢻⣿⣿⣿⣶⣌⠙⠋⠁⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣷⣽⣿⣿⣿⣿⣿⣷⣮⡙⢿⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⢋⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⡀⠀⠀⠀⣠⣽⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⢀⣼⣿⣿⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣝⢿⣇⠀⠀⠀⠀ ⠀⠀⠀⣴⣯⣴⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⡿⢫⣾⣿⣿⣿⣿⣿⣿⡦⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⢴⣿⣿⣿⣿⣿⣿⣷⣝⢿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣧⣽⣦⠀⠀⠀ ⠀⠀⣼⣿⣿⣿⠟⢁⣴⣿⡿⢿⣿⣿⡿⠛⣰⣿⠟⣻⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⢿⣿⣿⣿⣿⣿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣟⠻⣿⣆⠙⢿⣿⣿⡿⢿⣿⣦⡈⠻⣿⣿⣿⣧⠀⠀ ⠀⡼⣻⣿⡟⢁⣴⡿⠋⠁⢀⣼⣿⠟⠁⣰⣿⠁⢰⣿⣿⣿⡿⣿⣿⣿⠿⠀⣠⣤⣾⣿⣿⣿⣿⣿⠀⠀⠽⣿⣿⣿⢿⣿⣿⣿⡆⠈⢿⣆⠀⠻⣿⣧⡀⠈⠙⢿⣦⡈⠻⣿⣟⢧⠀ ⠀⣱⣿⠋⢠⡾⠋⠀⢀⣠⡾⠟⠁⠀⢀⣿⠟⠀⢸⣿⠙⣿⠀⠈⢿⠏⠀⣾⣿⠛⣻⣿⣿⣿⣿⣯⣤⠀⠀⠹⡿⠁⠀⣿⠏⣿⡇⠀⠹⣿⡄⠀⠈⠻⢷⣄⡀⠀⠙⢷⣄⠙⣿⣎⠂ ⢠⣿⠏⠀⣏⢀⣠⠴⠛⠉⠀⠀⠀⠀⠈⠁⠀⠀⠀⠛⠀⠈⠀⠀⠀⠀⠈⢿⣿⣼⣿⣿⣿⣿⢿⣿⣿⣶⠀⠀⠀⠀⠀⠁⠀⠛⠀⠀⠀⠀⠁⠀⠀⠀⠀⠉⠛⠦⣄⣀⣹⠀⠹⣿⡄ ⣼⡟⠀⣼⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠋⠁⠀⢹⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣧⠀⢻⣷ ⣿⠃⢰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣶⣦⣤⠀⠀⣿⡿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡆⠘⣿ ⣿⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠁⠈⢻⣷⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣀⣀⣸⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣿ ⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣿⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇ ⠈⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣴⡿⣷⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⡿⣟⣿⣿⣶⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀⣀⣀⡠⠤⠔⠒⠂⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠒⠒⠠⠤⠤⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠒⠒⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠒⠒⠤⠄⠲⠵⢦⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⢒⣉⢀⣀⡀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠁⠙⠒⢤⣄⡀⠠⣀⠀⠀⠒⠂⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠠⠤⢀⣀⡀⠀⠈⠉⠉⠐⠒⠤⢄⣀⠀⠀⠀⠈⠣⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠫⡢⣀⠉⠒⢄⡀⠀⠀⠀⠉⠑⠂⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠢⠤⣀⡀⠀⠀⠀⠉⠒⠢⢄⡀⠈⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⢵⠶⢊⡍⢉⠉⠉⠉⠉⠉⠈⠪⡑⠦⡀⠈⠑⠄⠀⠀⠀⠀⠀⠀⠈⠉⠒⠠⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⠤⢀⡀⠀⡠⠌⠉⠒⠬⣦⣀⠀ ⠀⠀⠀⠀⠀⠈⢁⠴⢟⠿⣲⢿⣅⢒⠠⢄⡀⠀⠀⠈⠢⡈⠑⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠠⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠏⠛⠧⣄⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⣠⠋⢀⠈⠀⠉⠀⠹⡎⠳⡀⠘⠠⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⢛⠞⠫⣀⢀⡀⠀⠀⣿⠀⠘⣦⠀⠀⡀⠀⠀⡇⠀⠀⡴⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠣⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⠿⢃⣀⣤⡞⢁⣼⠷⠀⠀⡇⠀⠀⡇⠀⢰⠃⠀⢠⠁⠀⡰⠁⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠔⠒⠒⠂⠀⠀⠀⠀⠉⠉⠉⠲⢦⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠳⣾⡿⣫⠞⡝⠀⢠⠄⢸⠃⠀⠀⡻⠀⠊⠀⢀⠎⠀⡰⠁⢰⠃⠀⠀⠀⠀⢀⡠⠔⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⠴⠁⡸⠁⠀⡜⢀⡟⠀⠀⠀⡇⠀⠀⡠⡋⠀⠰⢁⡠⡮⠀⠀⠀⣠⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠃⠀⢰⠁⣼⠁⠀⠀⢰⠁⢀⡮⣊⠤⠒⠛⠓⠲⠀⠀⠀⠛⠻⢧⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠎⠀⠀⡇⠀⡧⠀⠀⠀⡧⣶⠕⠫⠴⠒⠦⠀⠀⠒⠀⠀⠀⡠⠄⠀⠠⢭⡲⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢝⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠱⣦⣤⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠱⡀⠙⠚⢧⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡈⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢱⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠑⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣆⠀⠀⠈⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⢣⠀⠀⠀⠀⠀⢀⠣⣀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠉⠢⢄⠀⠀⠀⠀⢸⠀⠀⠀⢠⠖⠉⡌⠁⠘⡏⡽⠚⠥⣲⡸⠀⠀⠉⠢⠀⠀⠀⠀⠈⠫⢄⣀⡀⠀⠀⡰⠁⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⡀⠀⠀⠀⠉⢇⠀⠀⢰⠁⣀⠴⡏⠀⠀⠈⠢⡀⠘⢧⡀⠀⠈⠈⢳⡦⣀⠀⠀⠀⢄⡀⠀⠀⠀⠉⠁⠘⠊⠁⠀⣠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⠤⢠⡬⠖⠁⣸⡋⢣⡄⠈⠓⠤⣀⣤⠒⡄⠀⠉⠒⠤⣀⣀⠑⢄⠉⠲⢄⡀⠈⠓⠤⠀⠀⠀⠀⠀⠄⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠋⠀⢤⡦⠚⢡⠎⠀⢀⡠⠔⠁⢀⡠⠃⠀⠀⠀⢀⠆⠀⢠⠃⠀⠀⠀⠈⠓⠦⠤⢀⣀⣀⡀⠤⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣤⡶⣶⠋⠁⡠⣶⢶⣝⠏⢀⠔⣡⢶⢲⠟⢖⣠⠒⠁⠀⠀⢀⣀⣤⣊⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠹⠊⠉⠉⠘⠉⠻⠒⠒⠁⠀⠓⠓⠛⠃⠀⠁⠀⠀⠀⠀⠛⠗⠓⠿⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⢚⡭⠗⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⢶⡝⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢯⢀⡟⠉⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣞⢹⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠻⣄⣴⠋⠀⣠⣰⣇⣴⠁⡀⣤⠀⠀⠀⢀⡠⠾⣅⠀⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠒⣤⣼⣥⣴⠋⠁⠙⢿⡷⠾⣿⣧⣴⠲⢮⡉⠲⡀⢘⡞⠤⠤⠤⣐⡶⠦⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⣽⡩⣏⡴⠈⠉⣢⠵⠒⠒⠛⢢⡞⠙⠆⠀⢱⠀⢱⢀⡵⠋⠀⢀⡴⠋⠁⠀⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠙⢋⢾⢇⢔⡁⣩⡞⠉⠁⣠⣶⣶⣢⠈⠻⡄⠉⠀⠈⣠⠴⠋⠀⠀⠀⠈⢁⣠⠽⠛⠋⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡹⠓⡹⠓⠣⡀⡼⢹⠁⠀⣸⣿⣧⢽⡎⠀⡀⠰⣤⣖⠟⠃⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠾⠃⠈⠳⡄⣠⠊⠀⡇⢠⣾⣁⣘⡻⠼⠷⠾⠛⢁⣀⡈⢢⡀⠀⠀⠀⠀⠀⠸⣦⣀⡀⠀⠀⠀⠀ ⠀⢀⣤⠤⢤⣠⡞⢁⣀⣄⡀⠀⠈⠁⠀⠔⠓⠋⠉⠀⠀⠀⠀⠀⠀⠀⣨⡾⢺⡆⢻⡧⠀⠀⠀⠀⠀⠀⢠⠜⠋⠀⠀⠀ ⠀⡟⠁⠣⠀⠉⢒⡿⠃⠀⠪⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣾⢋⣿⡀⢣⠀⣷⣄⣤⣤⣤⣤⣤⣄⣙⠢⣀⠀⠀ ⢀⣇⠀⠀⠀⠐⠁⠀⢀⣦⣢⠈⠁⠉⠂⠄⠀⠀⠀⠀⠀⣠⠞⢋⡽⠃⠸⢸⡇⠀⠃⠹⡆⠀⠀⣿⡉⠉⠈⠉⠙⠚⢷⡀ ⢸⢹⠀⠀⠒⠃⠀⡇⡾⠟⠈⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣯⣶⡿⠁⠀⢁⠞⠁⠀⠀⢀⡷⡤⣤⣤⣭⣓⠢⣄⠀⠀⠀⠉ ⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣿⠻⣿⣿⡯⡿⣿⡿⠋⠀⠀⠐⠁⠀⠀⠀⢀⡾⢷⣤⡀⠈⡟⠛⠛⠲⢽⣆⠀⠀ ⠈⢷⣤⣀⡀⠀⠀⠀⣀⣴⡿⢽⡍⠃⠀⠓⠇⢈⣠⣾⡜⠁⠀⢀⡴⠊⠁⠀⣠⡴⡿⡄⠀⠈⠛⢷⣜⢦⡀⠀⠀⠉⠃⠀ ⠀⠈⠯⠙⠛⠷⠶⠚⠉⢠⣇⠀⠀⠀⢀⣠⣴⣾⣿⠎⠀⣠⠾⢋⣀⣤⣴⠺⠙⠋⠀⠸⡄⠀⠀⠀⢹⣷⣷⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠀⢀⣞⣾⡄⠀⢠⣿⣿⣷⠟⠁⣠⣾⠥⠚⠋⠉⢳⣌⠳⡉⠀⣀⠔⢣⠀⠀⠀⠈⣧⠘⢿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣦⣿⣯⡼⣙⣶⣯⡿⠟⠁⣠⠞⠋⠀⠀⠀⠀⠀⠀⢻⠉⢫⠉⠀⠀⢸⠀⠀⠀⠀⣿⣇⠀⢻⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣷⠯⠿⠿⠿⠛⡉⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⢸⠀⠀⠀⣸⢀⠀⠀⠀⣿⠹⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⢷⣦⣠⣾⣴⣧⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠳⢼⠠⠴⠚⡝⠀⠀⠀⢀⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢮⡇⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⢠⠃⠀⠀⡰⠁⠀⠀⠀⢸⠀⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢫⡠⠃⠀⢀⡜⠁⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠞⢁⡜⠉⠉⣩⠋⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⡿⠛⠉⢹⡠⠊⠀⣠⠞⠁⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠔⠚⠉⠀⠀⠀⠀⠀⣑⠖⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

ִ ࣪𖤐

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣆⣾⣿⠇⣠⣾⣷⢂⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢞⡤⣠⣦⣾⣿⣾⣿⣷⣾⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠖⠒⠋⠉⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⢶⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⣀⠀⠀⠀⢀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣈⣭⣿⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣠⣾⣿⣶⣿⣿⣷⣶⣴⣿⣿⣿⣿⣖⡀ ⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣌⣿⣿⣿⣿⣿⡿⠿⢻⣿⣿⣿⣿⣿⣟⠛⠀ ⠀⠀⠀⠈⠹⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠇⠀⠀⠀⠀⠀⠀⣀⠀⢀⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠙⠉⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⣿⣿⡛⠿⠿⠄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⣀⡄⢠⣿⣿⣴⣿⣿⣷⣾⣿⡿⠆⠀⠀⠀⠀⠀⠀⠰⣾⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢿⣿⣿⣭⢛⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⡉⠃⠀⠀⢰⣿⣷⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣯⠉⠟⠁⠀⣴⣧⣾⣿⣿⣿⣿⣿⣿⣿⣷⣿⣯⣿⣿⣿⣿⣏⠃⠀⠀⠀⠀⠀⣦⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠋⠿⠀⠀⣠⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣾⣶⣤⡀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡟⠇⢀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⡄⣰⣧⣼⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⣿⣿⣇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠞⠛⠛⠻⢷⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⢀⣤⡄⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠚⣿⣿⣤⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠺⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⠏⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⢻⣷⣶⣤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠁⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠋⠉⠀⠀⠀⢸⣿⡏⠙⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣶⣤⣤⣀⣀⣀⣀⣠⣾⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣹⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣤⣄⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠉⢿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠶⠛⠋⠉⠉⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠛⠿⣿⡛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣍⡳⣦⡀ ⠀⠀⠀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠙⣿⣿⣇⠙⢿⣦⡀⠘⠇⠀⠙⢿⡏⠉⠻⣿⡝⠻⣿⣿⣿⣷ ⠀⢠⠞⠉⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⢹⣿⣿⣆⠀⠙⢿⣄⠈⠀⠀⠈⠃⠀⠀⠘⠇⠀⠘⣿⠙⣿ ⠠⠁⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⣤⣀⠙⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣦⡀⠀⠀⠈⠛⢶⣤⣀⣀⣀⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣟⡉⠀⡀⠀⠀⠉⠛⠛⠻⢭⡉⠂⠀⠀ ⠀⠀⢠⡿⠋⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠯⠤⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀ ⠀⠀⡜⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⠁⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⢯⣻⢾⢻⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡟⢻⣽⣻⣽⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣽⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣯⣿⣿⣿⣯⣿⣻⣿⣿⣿⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡋⠁⠀⠀⠀⠀⢀⣀⣀⡀ ⠀⠀⠀⠀⠀⠠⠒⣶⣶⣿⣿⣷⣾⣿⣿⣿⣿⣛⣋⣉⠀⠀ ⠀⠀⠀⠀⢀⣤⣞⣫⣿⣿⣿⡻⢿⣿⣿⣿⣿⣿⣦⡀⠀⠀ ⠀⠀⣶⣾⡿⠿⠿⠿⠿⠋⠈⠀⣸⣿⣿⣿⣿⣷⡈⠙⢆⠀ ⠀⠀⠉⠁⠀⠤⣤⣤⣤⣤⣶⣾⣿⣿⣿⣿⠿⣿⣷⠀⠀⠀ ⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⢹⣿⠀⠀⠀ ⢠⣾⣿⣿⣿⣿⠟⠋⠉⠛⠋⠉⠁⣀⠀⠀⠀⠸⠃⠀⠀⠀ ⣿⣿⣿⣿⠹⣇⠀⠀⠀⠀⢀⡀⠀⢀⡙⢷⣦⣄⡀⠀⠀⠀ ⣿⢿⣿⣿⣷⣦⠤⠤⠀⠀⣠⣿⣶⣶⣿⣿⣿⣿⣿⣷⣄⠀ ⠈⠈⣿⡿⢿⣿⣿⣷⣿⣿⡿⢿⣿⣿⣁⡀⠀⠀⠉⢻⣿⣧ ⠀⢀⡟⠀⠀⠉⠛⠙⠻⢿⣦⡀⠙⠛⠯⠤⠄⠀⠀⠈⠈⣿ ⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡆⠀⠀⠀⠀⠀⠀⠀⢀⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⠂⠒⠀⠒⠐⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠄⣀⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣞⣱⣣⠞⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣶⠛⠉⠀⠉⠀⠉⠙⠻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠟⠢⣄⡠⡴⠒⠤⡀⠀⠀⠘⢿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣟⣾⡟⠀⣾⣿⡶⠀⡼⠃⠀⠀⠀⠈⣷⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣣⣁⣀⡾⢇⣁⡠⠞⠁⠀⠀⠀⠀⠀⣿⠄⣸⣇⠀⠀⠀⠀⠀⢰⡄⠀⠀⠀⠀⠀ ⠀⠀⢠⡏⠸⠿⣾⣫⡯⠿⣵⡀⠀⠀⠀⠀⠀⢿⣷⠟⠁⠀⠀⠀⠀⢰⡿⢷⡄⠀⠀⠀⠀ ⠀⠀⢸⣇⠀⠀⠀⠀⠉⠃⠀⠀⠀⠀⠀⠀⠀⣹⣧⣀⡀⠀⠀⠀⠀⢸⡏⢸⣾⠀⠀⠀⠀ ⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⣽⡅⢀⡿⠀⠀⠀⠀⢺⠓⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⣸⣗⡂⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⢹⢇⡞⠁⠀⠀⠀⣠⡾⠀⠀⣻⡀⠀⠀⠀ ⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢾⣁⠤⣄⠀⠀⡴⡽⠁⠀⢰⢻⠃⠀⠀⠀ ⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣹⠐⠀⠀⢻⢻⣀⣸⣀⣴⡟⠀⠀⠀⣸⣿⠀⠀⠀⠀ ⠀⠀⢰⣿⡇⠀⠀⠀⢀⣄⠀⠀⢠⡿⣄⢰⡀⠿⡀⠙⠛⠛⠉⠀⠀⢀⣴⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⢿⣷⡀⠀⠀⠒⠛⠋⠀⠸⢷⡹⣞⣷⣦⠟⠀⠀⠀⠀⣀⣴⣿⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⡷⠶⠄⠀⠦⣴⡴⠿⠃⠉⠛⣩⣤⣦⣶⣶⣶⡿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣿⠃⠀⠀⠀⣸⠏⠀⠉⠁⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡤⠒⠉⠉⠉⣽⠋⠉⠉⠋⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠧⠤⠤⠤⠤⢿⠦⠦⠴⠶⠶⠶⠶⡶⢾⠶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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ฅ^•ﻌ•^ฅ 🐾🐶🐕🦴🐾 ฅ^•ﻌ•^ฅ

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⠀⠀⠀⠀⢀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀ ⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧ ⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⠀⠀⢀⡶⠛⣿⣷⡄⠀⠀⠀⣰⣿⠛⢿⣷⡄⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⢸⣷⣶⣿⣿⡇⠀⠀⠀⢻⣿⣶⣿⣿⣿⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠈⠛⠻⠿⠟⠁⠀⠀⠀⠈⠛⠻⠿⠛⠁⠀⠀⠀⢸⠀ ⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀ ⠀⠀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣚⡡⠀⠀ ⠀⠀⠀⠀⠈⠙⠒⢢⡤⠤⠤⠤⠤⠤⠖⠒⠒⠋⠋⠉⠲⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⣤⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⢠⣿⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⢸⠘⡆⠀⠀⢸⣀⡰⠋⣆⠀⣠⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠤⠤⠼⠀⠘⠤⠴⠃⠀⠀⠀⠈⠉⠁⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⣠⡴⠶⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀ ⠀⠀⠀⠀⠂⠄⠀⣠⣴⣶⣾⣿⠛⣋⣠⠤⠄⠀⢀⣀⠀⠀⢀⡀⢀⣠⡴⠋⠀⠀ ⠀⢠⣌⣠⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣾⢇⣶⣿⡟⣶⣿⠿⣃⣤⡾⠁ ⢀⡿⠿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡾⣿⣇⣠⣿⠿⠀⠀ ⠀⠑⡎⣭⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⢿⣿⣿⠟⠙⠁⠀⠀⠀ ⠀⢹⣿⡿⠋⠉⠉⠀⠀⠈⠻⢿⢿⣿⣿⣿⡿⣿⣿⢿⠋⠛⠃⠀⠀⠉⠀⠀⠀⠀ ⠀⠀⠩⡀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⢿⣿⣿⣿⣿⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢫⢻⣿⣿⣿⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠸⡿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣄⢀⡀⠀⠀⠀⠀⠀⠀⢀⠄⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠈⠳⣕⢄⠀⠀⠀⠀⢠⣏⠀⠀⣹⡆⠀⠀⠀⠀⠀⠀⣀⡀⣀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⡿⡷⣄⣤⣾⣿⣯⣿⣿⣿⣧⡀⠀⠀⢀⠀⠀⠈⣻⣿⣻⢿⣶⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠀⡖⣯⢳⣿⣿⣿⡟⠛⡞⣿⣽⣿⣿⣧⣼⠃⢸⣧⣷⣿⡟⣷⣯⡟⣾⢻⡞⣿⡆⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⠤⣀⡀⠀⠀⠀⠀⣀⣼⣧⠽⠒⠋⠉⠉⠉⠉⠉⠙⠓⠿⠿⠛⠋⠉⣄⠀⢻⣿⣿⡿⣽⣳⢯⡿⣽⢯⡿⣽⣷⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠱⡀⠀⠈⠉⢓⢾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⡄⠀⠐⢹⣿⡷⣯⢿⡽⣯⢿⡽⣷⣿⠀⢀⣤⣷⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢦⠀⣠⢯⡿⠋⠀⠀⠀⠀⢀⣀⠀⠀⢀⣠⣆⣴⡄⣀⠀⢄⠂⠄⡷⠻⣦⣤⣾⣿⣽⣯⡿⣽⢿⣾⡉⢏⡿⣿⣿⣻⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣵⠟⠀⢀⡠⠔⠚⠉⣡⡈⠉⠉⠛⠻⣿⣿⣿⣷⣮⣦⣴⣾⣷⣿⠿⠿⠾⣌⣛⡟⠉⣻⣯⣿⣧⠨⣽⣿⣞⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⡔⠁⠀⠀⠀⣀⢴⣹⠶⢳⣀⠀⢻⣿⣛⡹⠿⠿⣿⣭⠝⠀⠀⠀⠀⠈⠹⣷⣤⣿⣈⣽⣻⠵⠿⠿⣭⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣼⡟⠀⣸⠀⠀⠀⠀⣦⣾⣿⣿⣿⣿⡿⠟⠚⠋⢄⡀⠀⢰⠋⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⠀⠀⠐⠋⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢄⡀⠀⠀⠀⠈⡷⡿⠀⠀⡇⠀⠀⢠⣮⣁⣽⣿⣿⠟⠋⠁⠀⠀⢀⠞⠻⣦⢾⣦⡾⠁⠀⢠⢶⣷⡀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⣠⡾⣼⡟⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠲⢤⣠⡴⣹⠃⠀⠀⣧⠀⢠⣾⣿⣿⣿⠏⠀⠀⠀⠱⣽⠞⢻⠦⡤⢿⣌⢿⣿⣤⠀⠈⣿⠿⣷⡄⣀⠀⠀⠀⣠⠹⣄⣠⠾⢋⡴⢇⢣⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢷⡟⠀⠀⠀⣿⢤⠘⣿⣿⣿⡏⠀⢠⡀⠀⠀⣸⣷⢪⠝⣰⢃⡞⢮⣿⣿⡄⠀⢹⣶⣿⣿⣶⡴⢶⣿⣲⣯⣿⣿⡏⡙⣬⠼⠋⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠁⠀⠀⣸⠇⢸⣿⠏⣿⣿⡁⠀⠀⢿⣆⡾⠀⣿⣇⠹⣆⢏⡸⢆⡈⣹⣷⡀⢸⠏⢸⣿⣿⣷⣿⣿⣿⣿⣿⣾⣇⣾⢀⣶⣆⣀⣀⣀⣰⠶⡿⢱⠎⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⠀⠀⢀⡏⢀⣿⣽⠲⢾⣿⡇⠀⠠⢜⢢⠟⣦⡼⢧⢋⡖⢎⡱⠮⢵⡏⡹⡇⠀⠑⣿⡿⠛⣿⣿⣿⣿⡿⣭⣟⣹⣿⣿⣾⣿⡟⢏⡱⢌⢣⡱⢣⣫⢖⢧⣋⠖⠄ ⠀⠀⠀⠀⢠⠀⠀⠀⡘⠁⣼⡿⠁⠀⠀⠉⠛⠦⣵⣎⣦⠕⢊⣀⣊⣜⠸⣏⡛⡛⠞⡹⠳⣷⠀⠀⠀⠁⠀⠋⠉⠉⠉⠀⠻⣧⣿⣿⣿⣿⢣⡙⣌⠲⣩⢲⡱⣣⠏⣎⣓⡬⠆⠀ ⠀⠀⠀⠀⠎⠀⠀⠠⠁⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢢⡔⡿⠀⠑⠨⠙⠶⣥⣆⣑⠌⢣⡀⠀⠀⠀⢀⠀⣀⠂⣄⡾⢩⣿⣹⣻⣿⠋⠛⠛⠶⣇⢇⡚⡥⢞⡭⣚⠼⣱⡀ ⠀⠀⠀⠀⣽⠀⠀⠄⢐⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣌⠳⣼⡅⠈⡲⢦⣉⠒⡰⢈⠉⡉⢉⣽⡷⣶⣟⡛⠻⢤⡃⠊⡤⣞⣿⣿⣿⣿⣆⠀⠀⣠⠞⢾⡴⡙⡮⠆⠉⢚⠀⠃ ⠀⠀⠀⠀⣯⠽⠖⠖⢻⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢌⠻⣜⢛⢦⡁⢆⡉⡙⠁⠂⠀⣴⡞⢯⡜⢧⡹⣛⣦⡀⠉⠓⠛⠶⠾⣿⣿⣿⣿⣷⣦⣽⣦⣤⠷⠋⠁⠀⠀⠀⠀⠀ ⢀⣠⠴⠚⠁⢠⠠⡀⠼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢌⢣⡝⡌⠦⡉⢆⡐⠄⠁⣴⣞⠳⣜⢣⠞⣥⠳⣍⠞⣵⡀⠀⠀⠀⠀⠀⠉⠙⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠻⢦⣱⣌⢢⡑⣌⠲⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡜⡲⠜⢨⠓⠈⢄⣠⣴⢛⢧⠪⡝⣌⢧⣋⠶⡹⢌⡻⢼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠉⢉⡇⠀⠀⠀⠀⠀⠀⠀⠀⡀⢢⠑⡬⢱⢩⠟⠙⠛⠛⠒⣳⢏⠶⣙⠼⣘⠦⣍⢮⡱⣍⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠄⢢⢅⢣⠚⡔⢣⠏⠀⠀⠀⠀⠀⣟⢎⡳⣉⠮⢥⢫⠴⣢⢓⢾⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⢀⠇⡸⢃⠼⡘⠟⣸⠟⠀⠀⠀⠀⠀⢸⣛⡜⢣⡛⡼⣃⢟⡼⣣⢟⡻⢼⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠠⠨⣐⢪⢑⡋⣎⣱⠽⠃⠀⠀⠀⠀⠀⠀⣿⢄⡏⢧⡙⢶⠩⡞⢴⢣⠎⣽⡷⣿⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⣏⠉⣻⣆⠀⠀⠀⠀⠀⠀⠀⠈⠚⠾⠧⠾⠥⠿⠼⠾⠾⠽⠾⠓⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠦⣀⠀⢀⡤⠒⢦⣠⠖⠚⣟⡎⠙⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⠤⠞⠻⠦⢄⡟⠋⠒⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⢐⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠂⠀⠀⣠⣄⠤⢀⣀⡠⠤⠒⠊⠁⣠⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠔⢊⣝⠡⠔⣲⠿⠟⠛⠈⠉⠀⠀⠀⣀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⢊⠥⣚⠉⠀⠀⠊⠉⠀⡄⠀⠀⠀⠀⣀⠴⠛⠋⠉⠉⠉⠉⠉⠉⠉⢉⣉⠭⠛⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⢉⡰⠗⠊⠉⠉⠀⠀⠀⠀⠀⡠⠊⠀⣀⣀⣠⠊⠀⠀⠀⠀⠀⠀⢀⣠⣔⣒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠚⢉⡤⠒⠉⠉⠀⢀⠀⠀⠀⠀⢀⡠⠞⠀⠒⠁⠀⠀⠀⠈⠑⠒⠤⢄⣴⠊⠁⠀⠀⠀⠈⠉⠉⢒⣒⡶⠦⠄⠀⠀ ⠀⠀⠀⠀⠀⢀⣸⠦⠀⡁⠀⣀⣤⣲⣶⠁⢀⡤⠒⠉⠁⠀⠀⠀⠀⢰⡗⠉⠉⠉⠉⠐⠒⠤⣈⠙⠒⢤⣀⡤⠴⠶⠭⣁⡀⠀⠀⠀⠀⠀ ⠀⠀⣠⣴⢊⣁⣀⡀⠔⠋⠉⠁⠉⠉⢀⠔⣅⡴⠊⠉⠒⠶⡆⠀⠀⠸⣌⠓⢄⡀⠀⠀⠀⠀⠀⠉⢒⡤⠤⠭⠷⠦⢄⡀⢈⣑⣢⣄⡀⠀ ⠀⣴⣿⠁⡸⠛⡠⠛⢀⡠⠤⠒⡊⢉⣧⢼⣧⡇⠀⠀⠀⠀⠀⠀⠀⠀⣻⠉⠢⢌⠑⢤⡀⠀⠀⡴⢏⣢⡀⠀⠐⢮⡙⢯⡀⠀⠀⠀⠀⠀ ⣼⣟⣥⢸⣁⣀⣁⡀⣠⢠⣧⢴⠻⣹⣹⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⢠⢿⠀⠀⠀⠙⠆⠈⢦⠙⠃⠀⠈⠳⡔⢤⣀⠈⢦⡈⠢⡀⠀⠀⠀ ⢿⣿⡿⡟⣄⡿⣽⣿⣿⣸⣟⣾⡟⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡋⠀⡄⠀⠀⠀⠀⠈⠢⡱⡆⠀⠀⠀⠈⠀⠈⠙⢺⣻⡦⣝⣆⠀⠀ ⠀⠻⣿⢷⠈⠛⠙⠋⠛⠈⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⢡⠀⡇⡤⠊⠁⠈⠉⠑⠻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⡙⢦⡀ ⠀⡸⠈⠰⡖⠉⢀⡄⠀⡄⢰⢄⡾⠗⠛⢯⣉⠒⠒⠤⠴⠚⠉⠁⠲⣼⠀⡟⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠑⡄⠁ ⠀⡇⣀⠔⡇⢀⡜⢧⡰⠓⠏⠀⠁⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⢸⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆ ⠰⠗⠁⠀⢷⠎⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢲⣤⣄⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠄⡀⡀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠐⠀⠄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠠⣄⡀⠀⠀⠀⠀ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⡞⡀⣤⣬⣴⠀⠀⢳⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡇⠀⢸⣿⠿⣿⡇⠀⠀⠸⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠀ ⠀⠁⠀⠀⠀⠀⢠⡾⣫⣿⣻⣿⣽⣿⡇⠀⠈⢿⣧⡝⠟⠀⠀⢸⣿⣿⣿⣿⣿⣟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⢠⣯⡾⢿⣿⣿⡿⣿⣿⣿⣆⣠⣶⣿⣿⣷⣄⣰⣿⣿⣿⣿⣿⣿⣿⢷⣽⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⡀⠀⢠⣿⢋⠴⠋⣽⠋⡸⢱⣯⡿⣿⠏⣡⣿⣽⡏⠹⣿⣿⣿⡎⢣⠙⢿⡙⠳⡙⢿⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡂⠀⣰⢣⣃⠀⠊⠀⠀⠁⠘⠏⠁⠁⠸⣶⣿⡿⢿⡄⠈⠀⠁⠃⠈⠂⠀⠑⠠⣈⡈⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠂⠀⡏⡘⠁⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⢀⡥⢄⢸⡇⠀⠀⠀⠀⢀⠀⠀⠀⠀⠈⢳⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠸⣄⣸⠟⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠈⢨⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠂⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠁⠀⠄⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡳⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣶⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⢚⢫⣽⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠛⠳⣎⢥⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠁⠀⠀⠀⣹⢾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣆⣆⣶⣶⣶⡶⣶⢶⣀⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⢛⡏⠀⠀⠀⣠⡖⢏⠺⣿⣿⣷⣦⣤⣤⣤⠶⠖⠊⠀⠀⣀⣤⣤⡴⣖⡾⠟⠛⠉⠉⠉⠙⣏⡞⣼⣼⣷⣿⡿⠿⠛⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⣉⠖⡩⢝⡦⠴⣞⠱⡸⢌⣣⣽⣿⣿⠿⠛⠉⣀⣠⣤⣶⡾⠟⠛⠋⠉⠙⣾⣇⠀⠀⠀⢀⣀⣤⣿⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⢋⠖⡱⢊⡕⢪⢔⠫⡔⢫⣱⣾⠿⠛⢉⣠⡴⣶⠿⠟⠋⠁⠀⠀⠀⠀⠀⢀⣠⡿⣹⢳⣻⠻⡽⣹⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠟⣤⢋⡎⢵⡩⢜⢣⢎⣣⣽⠟⢋⣡⡴⣞⣯⠟⠋⠁⠀⠀⠀⠀⣀⣤⢶⢶⣛⢯⣓⢧⣓⡏⣶⢫⣽⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠼⢯⣞⡤⢳⡸⢅⡞⣩⣖⠷⠋⠳⢶⣏⢧⣽⠋⠀⠀⠀⢀⣠⡴⣞⡻⡝⣮⢝⡲⣭⢞⡼⣣⢧⣛⢶⣫⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣵⢊⠷⡸⢥⣧⠀⠀⠀⠀⠉⠳⣾⣦⣠⣤⡞⣯⠳⣝⡲⣭⢳⣣⢏⡷⢳⣎⢷⡹⢮⡝⣮⢳⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣏⣞⣱⡧⠾⢷⣄⡀⠀⠀⠀⠈⠳⣏⡶⣹⢖⡻⣜⡳⣭⢳⡭⣞⡽⣳⢎⡷⣹⢧⣻⠼⣏⢿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣩⣥⣶⣿⣭⣶⣿⠿⠛⠛⠀⠀⠙⣷⡹⣎⠷⣭⢳⣭⢳⡝⣮⢳⣝⢾⡹⢧⣟⢮⣟⣭⢿⣮⣝⠻⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡴⣞⡟⣻⣛⢿⡻⣿⣿⣦⣤⣄⡀⠀⠀⠀⢹⡷⣭⣻⢼⡳⣞⡽⣺⡭⣟⢮⣯⢽⣻⡼⣏⡾⣞⡽⣞⡿⣿⣦⣈⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⠿⣭⣷⣭⡞⣵⡹⣎⠷⣭⣛⣿⣿⣭⣉⠀⠀⠀⠀⢿⣧⣛⣮⢷⣫⣞⠷⣽⢞⣯⠾⣽⢶⣻⣭⢷⡯⣟⣳⣟⡿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣹⡿⣯⣴⢿⡹⢶⡹⣎⡟⣶⡹⣖⢿⣿⡿⠛⠦⠀⠀⢸⡷⣏⣾⡳⣽⡺⣟⡽⣾⣭⢿⡽⣞⣷⣫⣟⡾⣽⣳⣯⣿⣿⡿⠿⠛⠛⠲⠀⠀⠀⠀ ⣾⣤⡶⣿⡹⣞⡵⣫⣞⣽⣣⣟⣵⣻⠷⣟⡾⣭⢿⣿⣦⡀⠀⠀⢸⡿⣽⢶⣻⣳⢿⣹⡽⣶⢯⣟⡾⣿⡷⣟⣾⣽⣳⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⣷⣝⡶⠟⣳⡿⠋⠉⠀⠈⠉⠛⡿⣸⢻⣽⡞⣯⣿⡿⣷⠀⠀⣿⢿⡽⣞⡷⣯⣟⣷⣻⣽⣻⢾⣽⣻⢿⣜⢿⣾⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠻⣤⣾⡟⠀⠀⠀⠀⠀⠀⣀⣴⣿⢸⣿⣽⡳⣿⣷⡌⠁⣰⣿⢯⡿⣽⣻⣵⣻⣞⡷⣯⣟⡿⣾⣽⣻⢿⣦⠙⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠉⠀⠀⠀⢀⣰⣾⣿⣿⢇⣿⡿⣶⢿⡿⠉⢷⢀⣿⣏⣿⣹⢷⡿⣾⢷⣏⣿⢿⣾⣿⣷⣿⣿⣿⣿⣷⠾⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⡿⣣⣿⢿⡽⣯⢿⡇⠀⣠⣿⣟⣾⣳⣯⢿⣽⢯⣟⣯⣿⡟⣿⣿⣿⣿⠿⠿⠿⣿⣷⣅⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⡿⣫⣾⢿⡽⣯⢿⡽⣿⣠⣼⣿⣻⢾⣳⣯⣿⣟⣾⣟⣯⣿⣽⣷⢻⡿⠋⠀⠀⠀⠀⠀⠉⠙⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⣿⡿⣫⣾⡿⣯⢿⡽⣯⢿⣽⣿⣿⣻⢷⣻⣟⣯⣿⢻⣿⣷⣻⣟⣾⣿⣿⠸⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⣿⣿⣿⢏⣾⣿⢯⣿⡽⣯⣿⣻⣟⣾⣽⣾⣻⣟⣯⣿⣽⡟⢸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣏⣾⣿⡽⣟⣾⢿⣽⡾⣷⡿⣻⣿⣿⣿⣿⣿⣿⡟⠁⣿⠟⠋⠉⠉⠙⠻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠘⣿⣿⣿⢸⣿⣯⢿⡿⣽⡿⣯⣿⢿⣇⠉⠀⠀⠀⠀⠉⠿⠁⠀⠃⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣿⣿⢼⣿⣟⣿⣟⣿⣽⣿⣽⣿⣿⣿⣶⣶⣴⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢿⣏⣿⣿⣻⣾⣟⣿⣾⢿⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠪⠿⣿⣯⣿⣟⣿⣿⣟⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠿⠯⠿⠿⠿⠿⠿⠷⠿⠿⢿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣿⣿⣷⣶⣶⡄⠘⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠿⠿⠿⠿⣿⡿⢀⣿⣿⣿⣿⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡿⠁⣼⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣷⣶⣤⣤⣤⣶⣿⣿⣿⣿⣿⠟⠁⠸⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠀⠀⠀⠈⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⠿⠿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡄⢹⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠠⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠠⡀⡀⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⢀⠈⡆⡨ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⡈⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⡠⠊⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡤⠶⣶⣛⣻⣛⣟⣳⣶⠶⢤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢿⣻⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣟⡿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣞⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣟⣳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⢟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠜⡁⠠⠈⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣰⠟⢡⡴⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢆⠑⡐⡁⠂⠀⠀⠀⠀⠀⠀⠀⠀⡾⣷⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠰⠁⠠⡿⢁⣠⣬⣿⠿⠿⠿⠿⠛⣫⣼⣿⣿⣿⣿⣾⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠑⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣳⣿⣿⣿⣿⣿⣿⣿⣿⠏⡠⠀⠠⠤⠼⠛⠉⠁⣀⣤⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣞⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⣿⣿⣿⣿⡿⠿⡻⠏⢠⡼⠇⠀⠀⠀⠀⠀⠺⡍⠁⠀⠘⣦⡈⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠥⠒⠀⠀⢀⣀⣤⣀⠄⠀⢰⢀⣠⡴⢧⡀⠀⠀⠈⣿⠓⠶⣤⡻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣽⣿⣿⣆⢢⣦⣧⣷⣿⣿⡿⠁⠀⡀⠸⣾⠉⠀⠈⣧⠀⠀⠀⠸⣆⣀⠈⢻⣿⣿⣿⣿⣿⣿⣷⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣿⣿⣿⣿⣿⣟⠿⠛⠃⢁⣸⣦⣙⣶⣿⠆⠀⢠⡏⠀⠀⠀⣾⠁⠙⢷⣦⣻⣿⣿⣿⣿⣿⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⣿⣿⣿⣿⣿⣦⣄⠀⣀⣾⣿⣿⣿⣿⠟⢀⣠⠟⠀⠀⠀⣠⡟⢦⣄⠀⢿⣿⣿⣿⣿⣿⣿⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡞⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⠟⢋⣠⠶⠋⠀⠀⠀⠀⢀⣿⣄⠀⠹⣷⣼⣿⣿⣿⣿⣿⢳⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡝⣿⣿⣿⣿⣿⣿⡿⢛⣠⠶⠋⠀⠀⠀⠀⠀⠀⣠⣇⠀⠙⣷⡄⢿⣿⣿⣿⣿⣿⢻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠊⠀⠈⢢ ⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣞⢿⣿⣿⣿⢏⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⡾⠋⠙⣷⣄⢹⣿⣿⣿⣿⣿⣿⣻⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠠⠂⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣽⢿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣧⡀⠀⠘⣿⣿⣿⣿⣿⣿⣻⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣥⣀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠈⠻⣷⣄⣿⣿⡿⣟⣯⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣦⣤⡄⠀⠀⠀⠀⢻⣤⣤⠀⠈⢻⣯⣽⡞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠒⠶⠶⠾⠷⠖⠒⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠄⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠂⠀ ⢠⡁⠂⢐⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⡀⢠⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠣⡀⡦⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⣀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⡄⢀⡄⣠⣴⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣸⢼⡿⠟⠚⢙⣒⡿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡍⠀⢔⢿⣔⢂⠡⣴⡿⡍⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠟⠓⠂⢆⣾⣀⡇⠀⠀⠁⡷⡧⠀⠀⠀⠀⠀ ⠀⠀⠐⠦⢀⠐⠀⠀⢉⠉⠀⠀⠀⣠⣉⡄⠀⣠⢄⠀⠀ ⠀⠀⠀⠈⠒⠥⠴⠶⠗⢤⡤⢂⠀⣋⣿⠬⠍⠚⢊⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡰⡡⠀⢸⠑⡷⡾⠻⡙⠒⢢⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡟⠁⠀⢸⣿⠇⠹⣥⠾⠄⠀⠀⠀ ⠀⡤⡀⠀⢀⠤⠒⢲⠀⠀⠀⡜⠁⠀⠀⢳⣢⠰⠄⠀⠀ ⢸⢠⢌⢂⡌⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢨⠅⠀⡘⠀⠀ ⠘⠺⡈⣣⣠⠀⠀⠀⠀⠀⠀⡀⠀⣀⣀⡾⠊⢀⡳⠀⠀ ⠀⠀⠡⡙⢮⣕⢒⡠⢔⣒⠉⡖⢄⠷⠜⠀⢀⡜⠁⠀⠀ ⠀⠀⠀⠑⠄⡉⠙⠚⠘⠒⠃⠉⠁⠀⢀⡤⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠁⠒⠠⠤⠤⠴⠒⠊⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣤⣤⣤⣤⣤⢤⣤⣤

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣴⣿⣿⣿⣿⣯⣤⣶⣶⣾⣿⣶⣶⣿⣿⣿⣿⣿⡿⠿⠟⠛⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠁⠈⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⠶⠶⠦⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣟⣡⣤⣾⣿⣿⣿⣿⣿⣿⢏⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠈⠻⡄⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠙⠻⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⣿⣿⣿⡿⠛⠉⠉⠉⠛⠛⠛⠛⠋⠁⠀⠀⠀⠁⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠈⠙⢧⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠙⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⢹⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠈⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⢋⣩⡿⠿⠿⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⣀⡀⠀⠀⠀⠀⠀⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⣿⣿⣿⣿⣿⣿⡄⠙⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣀⠀⠀⠀⠠⣄⣀⣀⡉⢻⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣦⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀ ⠀⢻⡟⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠋⠉⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀ ⠀⠀⠃⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠈⠉⡿⢿⣿⣿⣿⣷⡄⠀ ⠀⠀⠀⠀⢸⣿⣿⡟⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⣿⣿⣿⣿⣿⣧⣀⣀⡄⠀⢠⠀⠀⡀⠁⠘⣿⡿⣿⣿⣷⠀ ⠀⠀⠀⠀⢸⣿⡿⠁⠀⠀⠀⠙⠻⠿⣟⠻⢿⣿⣿⣿⣷⣦⡀⠀⠈⠻⢿⣿⣿⣭⣉⡉⠀⠀⠐⠀⠀⠀⠠⠀⠚⠀⠸⣿⣿⡄ ⠀⠀⠀⠀⣸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣦⡀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁ ⠀⠀⠀⠠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⡼⠀⢀⡀⣀⢱⡄⡀⠀⠀⠀⢲⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⡿⠛⠋⠁⣤⣿⣿⣿⣧⣷⠀⠀⠘⠉⠛⢻⣷⣿⣽⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣞⣽⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠠⣿⣿⡟⢻⣿⣿⣇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣟⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣿⡾⣿⣿⣿⣿⣿⠿⣻⣿⣿⡀⠀⠀⠀⢻⣿⣷⡀⠻⣧⣿⠆⠀⠀⠀⠀⣿⣿⣿⡻⣿⣿⣿⣿⣿⠿⣽⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠟⣩⣾⣿⣿⣿⢟⣵⣾⣿⣿⣿⣧⠀⠀⠀⠈⠿⣿⣿⣷⣈⠁⠀⠀⠀⠀⣰⣿⣿⣿⣿⣮⣟⢯⣿⣿⣷⣬⡻⣷⡄⠀⠀⠀ ⠀⠀⢀⡜⣡⣾⣿⢿⣿⣿⣿⣿⣿⢟⣵⣿⣿⣿⣷⣄⠀⣰⣿⣿⣿⣿⣿⣷⣄⠀⢀⣼⣿⣿⣿⣷⡹⣿⣿⣿⣿⣿⣿⢿⣿⣮⡳⡄⠀⠀ ⠀⢠⢟⣿⡿⠋⣠⣾⢿⣿⣿⠟⢃⣾⢟⣿⢿⣿⣿⣿⣾⡿⠟⠻⣿⣻⣿⣏⠻⣿⣾⣿⣿⣿⣿⡛⣿⡌⠻⣿⣿⡿⣿⣦⡙⢿⣿⡝⣆⠀ ⠀⢯⣿⠏⣠⠞⠋⠀⣠⡿⠋⢀⣿⠁⢸⡏⣿⠿⣿⣿⠃⢠⣴⣾⣿⣿⣿⡟⠀⠘⢹⣿⠟⣿⣾⣷⠈⣿⡄⠘⢿⣦⠀⠈⠻⣆⠙⣿⣜⠆ ⢀⣿⠃⡴⠃⢀⡠⠞⠋⠀⠀⠼⠋⠀⠸⡇⠻⠀⠈⠃⠀⣧⢋⣼⣿⣿⣿⣷⣆⠀⠈⠁⠀⠟⠁⡟⠀⠈⠻⠀⠀⠉⠳⢦⡀⠈⢣⠈⢿⡄ ⣸⠇⢠⣷⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠿⠋⠀⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢾⣆⠈⣷ ⡟⠀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣤⡀⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⢹ ⡇⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠈⣿⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⢸ ⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠶⣶⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡁⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣼⣀⣠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣠⣼⠂⠀⠀⠀⠀⠙⣦⢀⠀⠀⠀⠀⠀⢶⣤⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⠷⢦⠀⣹⣶⣿⣦⣿⡘⣇⠀⠀⠀⢰⠾⣿⣿⣿⣟⣻⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢟⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢻⣿⣿⡏⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣝⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⣿⣿⣿⡇⠀⠀⠀⠀⠛⣿⣿⣷⡀⠘⢿⣧⣻⡷⠀⠀⠀⠀⠀⠀⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣝⢧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⣿⠟⣡⣾⣿⣿⣧⣿⡿⣋⣴⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⢻⣿⣿⣿⣶⡄⠙⠛⠁⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⣝⢻⣿⣟⣿⣿⣷⣮⡙⢿⣽⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡿⢋⣴⣿⣿⣿⣿⣿⣼⣯⣾⣿⣿⡿⣻⣿⣿⣿⣦⠀⠀⠀⠀⢀⣹⣿⣿⣿⣿⣶⣤⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠻⣿⣿⣿⣮⣿⣿⣿⣿⣿⣿⣦⡙⢿⣇⠀⠀⠀⠀ ⠀⠀⠀⣠⡏⣰⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⡿⢋⣼⣿⣿⣿⣿⣿⣷⡤⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⢠⣾⣿⣿⣿⣿⣿⣷⡜⢿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣦⡙⣦⠀⠀⠀ ⠀⠀⣰⢿⣿⣿⠟⠋⣠⣾⣿⣿⣿⣿⣿⠛⢡⣾⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠻⣿⡟⣿⣿⣿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣟⠻⣿⣆⠙⢿⣿⣿⣿⣿⣿⣦⡈⠻⣿⣿⣟⣧⠀⠀ ⠀⣰⢣⣿⡿⠃⣠⡾⠟⠁⠀⣸⣿⡟⠁⢀⣿⠋⢠⣿⡏⣿⣿⣿⣿⣿⢿⠁⢀⣠⣴⢿⣷⣿⣿⣿⠀⠀⠽⢻⣿⣿⣿⣿⡼⣿⡇⠈⢿⡆⠀⠻⣿⣧⠀⠈⠙⢿⣆⠈⠻⣿⣎⢧⠀ ⠀⢣⣿⠟⢀⡼⠋⠀⠀⢀⣴⠿⠋⠀⠀⣾⡟⠀⢸⣿⠙⣿⠃⠘⢿⡟⠀⣰⢻⠟⠻⣿⣿⣿⣿⣿⣀⠀⠀⠘⣿⠋⠀⣿⡇⣿⡇⠀⠸⣿⡄⠀⠈⠻⣷⣄⠀⠀⠙⢷⡀⠙⣿⣆⠁ ⢀⣿⡏⠀⡞⠁⢀⡠⠞⠋⠁⠀⠀⠀⠈⠉⠀⠀⠀⠿⠀⠈⠀⠀⠀⠀⠀⣿⣿⣰⣾⣿⣿⣿⣿⣿⣿⣤⠀⠀⠀⠀⠀⠉⠀⠸⠃⠀⠀⠈⠋⠀⠀⠀⠀⠙⠳⢤⣀⠀⠹⡄⠘⣿⡄ ⣸⡟⠀⣰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⠿⠟⠁⠀⠹⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣧⠀⢹⣷ ⣿⠃⢠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣤⣀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡇⠀⣿ ⣿⠀⢸⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠋⠉⢻⣧⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸ ⡇⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⡀⠀⠀⣿⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢸ ⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾ ⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⢀⣾⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡼⣿⣿⣾⣤⣠⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢫⣙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⣻⡇⣠⡤⠴⠶⠦⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⡐⠁⠀⠑⡬⡳⢤⡀⠀⠀⣀⡀⠀⠀⢀⡴⠟⠒⠒⠻⡏⠁⠀⠀⣀⣀⣀⡹⣧⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢰⠀⠄⢠⠋⣴⠞⠳⣍⣳⡞⠁⡿⠶⠶⠞⢠⡦⠤⣤⠀⠉⠒⠤⡮⢛⣽⡿⡳⠁⠐ ⠀⠀⠀⠀⣤⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡽⠈⢰⠀⡇⢸⡇⠀⠀⠀⣿⠀⠘⠇⠀⠀⠀⠈⠀⠀⡴⣂⣀⣀⡘⠤⣚⣿⣺⠃⠀⠀ ⢠⢤⣤⣶⣛⣛⡚⠿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠔⢚⡥⠁⠀⠀⡇⢸⡇⠀⠀⠀⢻⣄⡠⠧⠶⣛⢅⡒⠂⠚⠁⠀⠀⠀⠀⣠⣷⠇⢽⡏⡀⠀ ⠈⣿⣿⣟⣏⣝⣶⡑⢌⢳⡀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣅⡐⢀⡠⠜⢀⡾⠁⠀⠀⠀⠀⠈⠻⠶⣵⣤⣵⣬⡲⢄⣀⣀⣀⣤⡾⠟⠻⣤⣾⢾⡇⠀ ⠀⠋⠉⢳⣯⠿⢿⡇⠈⡈⣷⣸⠀⠀⠀⠀⠀⣀⠀⠀⠈⣽⡗⠒⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡹⠗⠛⢦⣔⠉⠀⠀⠀⠑⡄⠘⣧⠀ ⠀⣠⣴⠟⠃⣠⡿⠃⢠⠁⣧⠏⠀⠀⠀⠀⢸⠱⣆⠀⠰⡇⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⠓⠶⣠⣀⢹⡈⠓⢤⡀⢻⡥⡀⠀⠀⠀⠘⡀⣿⠀ ⠀⠀⠀⢀⣴⠟⠁⢀⠌⣸⠋⠀⠀⠀⠀⠀⢸⡄⣿⠀⠀⣷⢰⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢲⡦⡈⠫⡛⠛⠱⡄⠹⣌⣧⠀⠀⠀⠀⠀⢡⣹⠀ ⠀⠀⣰⡿⠃⠀⢠⠊⣼⠃⠀⠀⠀⠀⠀⠀⢸⡇⢸⠓⠒⠋⢧⠑⡝⠙⠓⠚⢒⠛⠓⣭⢌⡈⠉⣀⠈⡒⢝⢖⠒⣉⣦⡼⢹⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⢰⣿⠁⠀⡔⠁⢸⠃⠀⠀⠀⠀⠀⠀⢰⣟⣻⡀⢣⣀⠔⠉⠑⠨⡂⢄⠀⠈⢆⠀⠀⠈⠈⠛⠧⣙⢄⠀⠙⢦⣳⠞⢁⢸⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⢸⡿⠀⢰⠁⢣⠘⣧⣶⠲⢤⣀⢀⣠⡴⠟⠋⡽⢄⠙⠢⢄⡀⠂⠈⠑⠅⡢⢀⠙⢦⡀⠳⣦⣀⠀⠨⠉⠍⠉⠀⠀⠃⢸⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⠸⣧⠆⠸⣄⠈⠀⡈⠙⠓⠒⢚⠋⠁⠀⠀⢰⡣⠤⠵⢶⡤⣌⣁⡒⠠⠄⣈⡑⠫⡢⢜⡄⠈⢯⠉⠓⡲⠞⢡⠀⠐⠀⡆⠀⠀⠀⠀⠀⣸⡟⠀ ⠀⠀⢻⡔⡀⠙⠷⣄⠀⠀⠀⠀⠀⠁⠀⢀⡰⣿⡀⠀⠀⠀⠈⡗⠲⢭⢿⡒⠢⠤⣌⣉⡀⠀⠀⠀⢳⠊⠀⠀⠈⢇⠀⡰⠀⠀⠀⠀⠀⢠⡿⠁⠀ ⠀⠀⠀⠻⣌⠢⢀⠈⠉⠒⠒⠠⠤⠤⠬⠖⠒⠻⣧⡀⠈⠀⡸⢀⠀⠀⠁⠺⣯⡉⠉⠙⠛⣻⢀⣤⣏⡀⠤⠒⡄⣸⡞⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀ ⠀⠀⠀⠀⠈⠳⢤⣈⡁⠒⠀⠠⠤⠀⠀⠀⠀⠔⠙⠿⣦⣀⠃⡌⠀⠀⠀⠀⠈⢟⡆⠀⠈⢩⢋⡙⠀⠀⠀⠀⡸⠋⢇⠀⠀⢀⢤⣾⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠓⠒⠒⠦⢤⡤⣄⣀⣀⣰⡊⣙⠒⠂⠤⢀⡀⠀⢀⡼⠃⠀⢠⢏⠔⠀⠐⠒⢸⠿⠒⠤⣄⠈⣀⡴⠟⡟⠶⢆⣄⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣴⣬⣹⣝⢳⣶⣿⣿⡷⣶⢤⠼⣤⣷⣀⡄⠀⣸⣀⢀⣀⣠⣿⣿⣄⣉⣘⡶⢶⣕⢮⢳ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⠻⢿⠏⠛⠀⠀⠀⠈⠉⠙⠛⠛⠻⣿⣿⠻⣿⠏⠉⠀⠀⠀⠀⠈⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣰⠂⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡟⢆⢠⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⡇⠹⢦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⣦⣹⢸⡖⠤⢀⠀⠘⢿⠛⢔⠢⡀⠃⠣⠀⠇⢡⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⡷⣄⠠⡈⠑⠢⢧⠀⢢⠰⣼⢶⣷⣾⠀⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠤⢖⡆⠰⡙⢕⢬⡢⣄⠀⠑⢼⠀⠚⣿⢆⠀⠱⣸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⡶⠮⢧⡀⠑⡈⢢⣕⡌⢶⠀⠀⣱⣠⠉⢺⡄⠀⢹⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡸⠀⠈⡗⢄⡈⢆⠙⠿⣶⣿⠿⢿⣷⣴⠉⠹⢶⢾⡆⠀⠀⠀ ⠀⠀⠀⢠⠶⠿⡉⠉⠉⠙⢻⣮⡙⢦⣱⡐⣌⠿⡄⢁⠄⠑⢤⣀⠐⢻⡇⠀⠀⠀ ⠀⠀⠀⢀⣠⠾⠖⠛⢻⠟⠁⢘⣿⣆⠹⢷⡏⠀⠈⢻⣤⡆⠀⠑⢴⠉⢿⣄⠀⠀ ⠀⠀⢠⠞⢃⢀⣠⡴⠋⠀⠈⠁⠉⢻⣷⣤⠧⡀⠀⠈⢻⠿⣿⡀⠀⢀⡀⣸⠀⠀ ⠀⠀⢀⠔⠋⠁⡰⠁⠀⢀⠠⣤⣶⠞⢻⡙⠀⠙⢦⠀⠈⠓⢾⡟⡖⠊⡏⡟⠀⠀ ⠀⢠⣋⢀⣠⡞⠁⠀⠔⣡⣾⠋⠉⢆⡀⢱⡀⠀⠀⠀⠀⠀⠀⢿⡄⠀⢇⠇⠀⠀ ⠀⠎⣴⠛⢡⠃⠀⠀⣴⡏⠈⠢⣀⣸⣉⠦⣬⠦⣀⠀⣄⠀⠀⠈⠃⠀⠀⠙⡀⠀ ⠀⡸⡁⣠⡆⠀⠀⣾⠋⠑⢄⣀⣠⡤⢕⡶⠁⠀⠀⠁⢪⠑⠤⡀⠀⢰⡐⠂⠑⢀ ⠀⠏⡼⢋⠇⠀⣸⣟⣄⠀⠀⢠⡠⠓⣿⠇⠀⠀⠀⠀⠀⠑⢄⡌⠆⢰⣷⣀⡀⢸ ⠀⣸⠁⢸⠀⢀⡿⡀⠀⠈⢇⡀⠗⢲⡟⠀⠀⠀⠀⠀⠀⠀⠀⠹⡜⠦⣈⠀⣸⡄ ⠀⣧⠤⣼⠀⢸⠇⠉⠂⠔⠘⢄⣀⢼⠃⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠚⠳⠋⠀ ⠐⠇⣰⢿⠀⣾⢂⣀⣀⡸⠆⠁⠀⣹⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡏⣸⠀⣟⠁⠀⠙⢄⠼⠁⠈⢺⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⡏⣸⢰⡯⠆⢤⠔⠊⢢⣀⣀⡼⡇⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⢻⢸⡇⠀⠀⠑⣤⠊⠀⠀⠈⣧⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣼⢸⠟⠑⠺⡉⠈⢑⠆⠠⠐⢻⡄⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⣸⡀⠀⠀⣈⣶⡁⠀⠀⠀⢠⢻⡄⠀⠀⠀⠑⠤⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⠁⣿⡿⠟⢏⠁⠀⢈⠖⠒⠊⠉⠉⠹⣄⠀⠀⠀⠀⠀⠈⠑⠢⡀⠀⠀⠀ ⠀⣀⠟⢰⡇⠀⠀⠈⢢⡴⠊⠀⠀⠀⠀⠀⣸⢙⣷⠄⢀⠀⠠⠄⠐⠒⠚⠀⠀⠀ ⠘⠹⠤⠛⠛⠲⢤⠐⠊⠈⠂⢤⢀⠠⠔⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠣⢀⡀⠔⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Hi! im DragonVee! you may have seen me on YouTube, but i am here to show all you creative pepole who like to make stuff with emojis how to make cool dragons from paper! just copy and paste this link! https://www.youtube.com/channel/UCHaq6urRM2eXiBMPCMEMdyQ see you there!

🎃🧝‍♂️💀🕸️

https://i.imgur.com/avOXzNy.png

🌼🍄🦭🦧🌸🌛✨

♑♑♑🥩🥩🥩ඞ𐐘🔪ඞ

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𖤹༺ . • . • . 𖦹 🐉 𖦹 • . • . ༻𖤹

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⡠⣞⣥⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣙⣦⠀⠀⣺⡛⠾⢴⣿⣿⣿⠽⣿⠻⣏⣿⣿⣿⣿⣹⣿⣷⣯⣼⣿⣿⣿⡇⠀⢀⣿⡿⣿⣿⣿⣿⣿⣉⡗⣻⢷⣿⣿⣿⠀⠀⣀⣾⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣭⣿⣿⣟⣯⡿⣿⣾⣯⣟⣾⢿⣳⣿⢿⣽⣻⣿⣽⣿⣿⣿⣿⣿⣌⡢⡀⠀ ⠛⠋⠁⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣾⢷⣄⣿⠛⡙⣿⣿⣿⣿⠿⠋⠀⠘⣟⣿⣿⣿⣿⢿⣿⣳⣿⣿⣿⣿⣷⢠⠾⣿⡽⣷⣿⣿⡿⠸⠹⣿⣿⣋⡙⢿⡏⢀⣶⣿⢟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣾⣟⡿⣯⣷⣟⣿⣻⢯⣿⣽⣻⡾⣿⣾⣿⣿⡿⠟⠁⠉⠻⣽⡎⣆ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⡝⣿⡿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠹⣞⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣟⡟⠀⠀⠀⠈⢿⣻⣿⣻⣇⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡿⣽⣾⣳⢯⣟⣾⣷⣿⣿⣿⣿⣻⠏⠀⠀⠀⠀⠀⠀⠙⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⡏⠘⠻⠿⢎⣀⠀⠀⠀⠀⠀⠀⠀⢯⣿⣿⣿⣿⣞⣿⣿⣿⣿⣟⣾⣾⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⣈⠽⠿⠿⣋⣵⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣻⣴⣿⣻⢾⡽⢯⣿⣿⣿⡷⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⣀⣈⠑⠒⠴⢊⠉⠁⠒⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠋⡈⢲⠖⣒⣛⣤⣶⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣷⢯⣟⣿⣽⣿⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠿⢿⣾⡽⣛⡟⡻⢟⡻⢿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣆⣀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣶⣾⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣞⣿⣽⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⣿⣻⣿⣿⡟⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⢟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢫⣊⣽⣵⠖⠀⠻⣿⣿⣿⣿⣿⣿⣯⢻⣿⣷⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠙⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⣐⢣ ⣿⣷⣻⣿⠁⠀⠀⠀⠀⠀⣰⣿⠟⠉⢐⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠜⣫⣿⢯⡞⠀⠀⠹⣿⣿⣿⣿⣿⣿⠀⢿⣿⡄⣀⣴⣟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⢆⢧ ⣿⣿⣷⠉⠀⠀⠀⠀⢀⡾⠋⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣇⣴⢏⣵⢏⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⠀⠈⢿⣧⠓⢉⣯⢧⢿⣿⣿⣿⣿⠌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡜⣎ ⣿⣿⣿⠀⠀⠀⠀⠀⠋⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⠇⣼⣷⠟⠁⠀⢀⡴⢃⠀⠹⣿⣿⣿⣿⡃⠀⠈⣿⡔⠋⣡⢣⣾⠿⣿⣿⣿⡃⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢻⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠜⣲ ⣿⣿⡯⠀⠀⠀⠀⠀⠀⠀⠀⢀⢮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⣿⠾⠋⠁⠀⣠⢞⡿⡵⡻⣂⠀⢹⣿⣿⣿⡇⠀⣴⡻⣷⣔⣯⢾⠵⢫⢿⣿⣿⠅⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠙⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⣸⡱ ⣞⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢨⡗⣿⣿⠀⠀⠀⠈⠙⢫⢋⣼⣿⡛⠀⠀⢻⣿⣿⡆⠀⠙⣡⣼⣾⢜⣣⢔⣵⣫⣿⣿⡁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠰⢨⣱⢹ ⣿⠼⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⠟⠁⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠀⢻⣿⢀⣀⣀⣀⠤⢤⣉⣁⠈⠛⠃⠀⠘⣿⣿⠇⠀⠀⠀⠀⣈⣧⣉⣛⣑⣛⡍⢿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠚⣧⠀⠀⠀⠀⠀⠀⢀⢃⠳⣬⠳ ⣿⠃⠀⠀⠀⠀⠀⠀⢀⣾⠟⠋⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠐⠒⢻⣿⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⡹⣿⡃⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠈⠹⠉⠓⠂⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠑⠀⠀⠀⠀⠀⠄⣎⢳⡜⡳ ⣿⠁⠀⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⢀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠈⣿⣀⡤⠠⠄⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠅⢠⠄⠀⠀⣴⣒⠶⠭⠤⢄⣀⡀⠀⠀⠀⢸⡏⢿⣿⣿⣿⣿⣿⣿⣿⠈⠻⣿⣷⣄⠀⠀⠀⠀⠀⢀⡚⣬⢳⣚⠵ ⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⢢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣨⣟⠶⠶⠉⠛⠓⠭⣍⣉⠒⠀⠀⠀⠀⠀⠸⠇⡞⠀⢒⡩⢕⡒⠐⠂⠒⠒⠒⠪⢅⡀⠀⢸⠀⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠙⢿⣮⣢⣄⠀⡐⢬⡺⡵⣏⢮⡓ ⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡄⣻⣿⣿⣿⡿⣻⣿⣿⣿⣿⣿⣿⢻⣿⣿⡇⣠⠟⣉⣀⣀⣀⡠⠄⣀⣀⠈⡙⠻⠄⠀⠀⠀⢀⣴⢿⠃⢰⣟⠫⠥⠤⠠⢠⣤⠠⠤⠤⣀⡉⠂⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠈⠪⠝⠿⣽⣰⢣⣟⡽⣎⠷⡡ ⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⢰⣻⣿⣿⡟⠁⣿⣿⣿⣿⣿⣿⣿⠈⣿⣿⡟⠫⠥⠤⠤⠼⠿⠧⠤⠔⢒⡋⠁⠀⠀⠀⠀⠀⠉⣼⣻⠀⠘⠫⢔⣒⡒⠠⠼⢟⢣⢖⣒⠒⠋⠁⢀⠀⢨⣿⣿⣿⣿⡝⣿⣿⣿⠀⠀⢀⠠⡐⣋⠖⣼⣻⠿⣼⢯⡝⣧⠑ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡱⠌⣿⣿⡟⠀⢸⣿⣿⣿⣿⣿⣿⣿⡀⢹⣿⡗⠈⠓⠒⠒⠒⠒⠒⠲⠟⠛⢉⣵⡦⣶⠀⠀⠀⠀⠉⣟⠀⠀⠙⠒⠒⠠⠍⠻⡤⠂⠒⠲⡖⠋⠉⠉⠀⢸⣿⣿⣿⣿⡇⠸⣿⣿⡃⠰⣌⠲⡱⡜⣾⣱⢯⡿⡽⣾⡹⢆⡍ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢑⡀⣿⡟⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠟⠁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠉⠀⠀⠀⠀⣾⣿⣿⣿⣿⣷⢐⢻⣿⣇⠳⣌⡳⣽⣹⢾⣽⢯⡿⣽⢶⡛⢦⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢢⠀⣿⠁⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠸⢿⠀⠀⣀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠹⠰⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢻⣿⣿⣿⣿⣿⣎⡽⣿⣧⣛⡼⣳⢷⣯⡿⣯⡿⣽⡳⣯⢝⠢⡁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡠⢈⠃⢠⣾⡿⠋⢁⣿⣿⣿⡿⣿⣿⣷⠀⠀⠈⣀⣼⣥⢞⣅⠀⠀⠀⠀⠀⠀⡰⠋⢉⣉⡀⠀⠀⠀⠀⢀⣠⣀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠿⠳⣿⣿⣷⣽⣻⡷⣾⢽⣯⣿⢾⣟⣷⣻⡗⣿⡱⣎⠱⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢁⠂⣾⡿⠋⠀⠀⢸⣿⣽⢱⢲⡌⠻⣿⣇⢰⡾⣟⣷⡟⣫⠞⠀⠀⠀⠀⠀⠀⢧⡀⢾⣿⣿⠀⠀⠀⠠⣻⣿⡿⢂⡴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡴⣾⢣⢹⣿⢿⡿⣟⡿⣽⣻⢾⣽⣻⢞⡷⣯⢟⡾⣱⢎⠱⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠄⠁⠀⠀⠀⢀⠀⢻⢿⠀⢸⣽⣆⢹⡹⠀⢀⣼⣷⠿⣫⠀⡀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣯⣶⣿⠀⣾⣿⣻⣽⢿⣽⣳⣯⣟⡾⣽⢯⡿⣭⣟⣞⡳⢎⠢⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣈⠂⠄⠀⠀⠀⠈⠀⠀⢪⢧⠘⣧⣻⣀⡇⠀⠚⡡⢋⣴⡷⣻⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣼⡧⠏⣰⣿⣳⣟⡾⣯⣟⣷⣻⢾⡽⣯⢷⣻⣳⡽⢮⡝⢎⡰⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⣄⠊⠄⠀⠀⠀⠀⠀⠀⠀⠩⡳⣀⠉⠙⠻⡄⠀⣵⣿⡯⣺⣿⡥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠋⢀⣠⢞⡏⢷⣛⡾⣽⣳⣟⡾⣽⢯⡿⣽⢯⣷⣻⡼⣻⡜⣡⠂⡁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡰⢈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠉⡈⠳⢦⣄⣹⡄⠑⠋⠈⠙⠋⠓⠀⢀⣀⡤⠴⢖⡒⣒⢒⡒⣒⢒⡒⢖⠲⡒⢦⠤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⣠⠞⢒⠫⡐⢊⠜⣢⢛⡼⢳⣛⡾⣽⢯⡿⣽⢯⣟⣾⣳⡽⣣⠟⡤⠁⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡑⢌⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡑⢢⠐⡀⠙⢦⡀⠀⠀⠀⠀⠐⠛⠓⠚⠓⠒⠓⠚⠒⠓⠞⠦⠙⠮⠱⠭⠖⠳⠴⠒⠦⠭⠟⠂⠀⠀⢀⡴⠃⠁⠀⠁⡘⠄⢊⢄⠣⢜⠣⣏⡽⣏⡿⣽⢯⣟⡾⣷⢯⣷⢫⣝⡰⢁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡑⢌⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠑⠄⠂⠀⠙⢦⡀⠀⠀⠀⠀⠀⠉⠒⠒⠦⠤⠤⠤⢀⣀⣀⠀⡀⣀⢀⡠⠤⠤⠀⠀⠀⠀⣠⠴⠋⠀⠀⠀⠀⠀⠀⠈⠀⠌⠒⡈⠱⢌⡚⣭⢻⣽⣻⢾⡽⣯⣟⡾⣝⢦⡑⢂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⢈⠐⠀⠈⠐⣙⢳⡤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢁⠂⡱⢌⡻⣜⣯⠿⣽⣳⢯⡽⣞⢧⡙⠄⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⣄⠊⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠄⠀⠁⢆⠣⣜⠢⡉⠙⣶⢦⣤⣄⣀⣀⣀⡀⣀⣀⣀⣀⣤⡤⠴⠒⠋⠍⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⠢⠱⣙⢮⢿⡽⢯⣻⡽⣝⡮⡕⢊⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢭⠰⡈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⢄⠫⡔⢣⠐⠀⢸⣎⡜⡹⢻⢿⣿⣿⣿⣿⣿⠟⣻⠁⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡌⢾⡹⣞⣯⢷⣻⡝⣾⣉⠆⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢊⠵⣁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⡕⣪⢅⠊⠀⠸⡝⢶⣡⢃⡎⡜⣩⢫⡑⢦⣹⢾⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡰⣙⠾⣽⣞⣳⣻⠵⣍⠖⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢜⡢⢅⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠒⡥⣊⠔⠀⠀⡇⠀⠙⢶⣸⡰⢡⢆⣹⠖⠃⢸⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠐⣩⢛⡼⣞⣳⣭⠿⣜⢣⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢪⡜⡥⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡉⢖⡡⢊⠀⠀⡇⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⢸⠄⠀⠀⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⢋⡼⢭⣳⣭⢟⡼⢢⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢡⢚⡴⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣢⢑⠢⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⡆⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⡜⢣⢗⣮⢻⣜⠣⠌ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣈⠞⡴⣁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢎⡁⠂⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⣴⠇⠸⡇⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠘⠤⣋⢼⡳⢮⣙⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⣀⠻⡴⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣌⣧⣘⡀⡟⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠇⠀⢿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠂⡱⢪⣝⡳⣌⠣ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠤⣛⠴⣁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⣠⠞⣱⠗⣳⡄⠘⣧⣶⣶⣷⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡁⠳⣌⠷⣭⠒ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢁⠲⣍⠷⣀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠸⣾⠕⣹⣟⣴⠆⠘⢏⠙⢿⣿⡿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠱⡌⣟⢶⡩ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⡘⢀⠲⣭⡳⡅⠀⠀⠀⠀⣠⣤⣤⣤⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣰⠟⡵⢃⣤⠏⡀⠓⠌⣻⣿⣟⣿⣿⣿⣿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⡸⢬⣳⢣ ⠀⠀⠀⠀⠀⠀⠀⠀⠤⡑⠂⡜⣶⡻⡔⣁⡤⠤⠚⣿⣿⣿⣿⢿⣻⣿⣻⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⢡⡮⠔⢡⢫⡿⠃⠀⠀⠀⢿⣿⣻⣿⣿⢿⣿⡿⣿⣿⣿⣶⣶⣾⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠣⢏⡾⣱ ⠀⠀⠀⠀⠀⠀⠀⢀⠢⢡⠁⣼⣳⠟⠋⠁⠀⠀⠀⣿⣿⣿⣿⣻⣿⣳⣿⣿⣻⣯⣿⡏⠒⠲⠤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠰⢃⣉⡤⠤⠤⠴⠒⠚⣿⣿⣽⣿⣿⣿⣿⣟⣾⡿⣽⣿⢿⣿⣿⣷⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣍⢺⡱⢧ ⠀⠀⠀⠀⠀⠀⠀⢀⠎⣐⡶⠋⠀⠀⣀⠀⠀⠀⠀⢼⣿⣿⡿⣽⣷⣿⣿⣻⣽⣷⡿⠁⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⣿⣿⣿⣿⣿⣯⣿⣟⣯⣿⣿⣷⣿⡆⠀⠉⠲⢄⡀⠀⠀⠀⠀⠀⠀⣂⠧⡝⣧ ⠀⠀⠀⠀⠀⠀⠀⢢⡼⠋⠀⢀⡠⠞⠁⠀⠀⠀⠀⣾⣿⣿⡿⣿⣽⣾⣟⣿⣽⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠒⠀⠀⠀⠀⠀⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣽⣿⣿⣯⣿⣿⢷⣿⣻⣽⣿⣯⣿⡇⠀⠀⠀⠀⠉⠢⣄⠀⠀⠀⠀⢄⠫⡼⣱ ⠀⠀⠀⠀⠀⠀⣰⠏⢀⣠⢔⡋⠀⣀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣻⣽⣾⢿⣽⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡎⢸⣿⣯⣿⣿⣿⣿⣾⢿⣻⣿⣽⣿⣿⣽⣿⠀⠀⠀⠀⠀⣠⢼⠗⣤⠀⠀⢀⢣⢳⡱ ⠀⠀⠀⠀⠀⡴⠃⡨⠏⣡⣫⠔⠋⠁⠀⠀⠀⠀⢰⣿⣿⣿⣷⣿⣻⣽⡿⣯⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢞⠝⣜⣨⣿⣿⣽⣿⣿⣿⣾⡿⣟⣷⡿⣽⣿⡿⣿⠀⠀⠀⡴⠊⠱⢃⣞⠴⡷⣄⠀⢎⠲⣍ ⠀⠀⠀⠀⡼⠑⣊⠤⢚⡥⣊⡀⠀⠀⠀⡀⠀⠀⢸⣿⣿⣿⡾⣟⣿⣽⣿⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⣎⠜⣫⡠⣿⣿⣽⣿⣷⣿⣿⢿⣟⣯⣿⡿⣿⣿⢿⡇⠀⠀⠀⢠⠴⠊⠁⠼⣵⡏⡳⣌⠳⣌ ⠀⠀⠀⡼⠁⠀⢠⠔⢉⢴⠟⠀⣀⡴⠚⠁⠀⠀⣿⣿⣿⣷⡿⣿⣯⣿⢾⣟⣿⠀⠀⠀⠀⠀⠀⢀⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⠞⢁⢞⡕⢡⣿⣿⣽⣾⣿⣯⣿⣿⣿⣻⣷⣿⣿⡿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠈⢷⡌ ⠀⠀⣰⠃⠀⠀⠀⠀⠑⢃⡤⡞⠁⠀⠀⠀⠀⢸⣿⣿⣿⢷⣿⣟⣷⡿⣿⣻⣿⡀⠀⠀⠀⠀⢶⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⡇⢸⣿⡿⣾⣟⣿⣻⣽⣿⣷⣿⣻⣾⢿⣿⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻ ⠀⢀⠃⠀⠀⠀⢀⡠⠖⣡⢞⠤⠀⠀⠀⠀⢀⣿⣿⣿⣿⣻⣽⣾⣟⣿⣟⣯⣿⣧⠀⠀⠀⠀⠈⢛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠃⠀⠀⠀⠀⠀⠀⠀⠈⠀⣾⣿⣟⣿⣽⣟⣿⣻⣿⣿⢾⡿⣽⣿⣿⡿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⣆⣤⠤⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢺⣻⢁⠠⢾⣿⣏⣉⢧⣩⡜⠤⢥⣒⡛⠓⢭⣲⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠵⣏⣩⣍⣜⡿⢟⣛⡛⡄⣧⣶⣿⡋⠒⢤⡀⠀⠀⠀⠈⠀⠀⠀⣠⢴⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡮⠵⢚⠩⡐⣾⣿⣿⣟⣳⢾⠛⡟⢷⣤⠀⠀⠀⠀⠀⠀⢠⢒⣹⡻⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠛⠛⣿⣛⠛⣹⣯⣌⣦⣉⢦⡼⠧⡀⠀⠀⠀⠀⠘⣆⠩⣉⠒⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢼⣯⣝⠤⡀⠀⠀⠀⠀⠀⠀⣀⢴⠓⣌⠿⣻⡿⢿⢾⠀⠹⡇⠀⠁⠀⠀⠀⠀⠀⠘⣖⠠⡉⢆⠡⢌⡑⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠎⡓⢴⠀⠀⠀⠀⡠⠞⢠⠂⡼⢁⢎⣿⠓⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⢳⣈⠒⠤⡈⠥⡈⠞⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠒⡡⢊⡗⢸⠀⠀⠀⢀⡇⡘⢄⢣⠓⡌⢨⣉⢂⠤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢹⡈⢷⠈⢆⠩⠔⢧⡘⢄⡙⢳⣢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢎⠰⡁⠎⣣⠼⡀⠀⠀⠘⡅⢣⠘⣼⢂⠱⠸⠟⡨⢄⠩⡉⠔⢢⢐⣄⠀⠀⠀⠀⠀⡠⡎⢸⡅⡘⣖⡈⠆⡔⣈⠳⡌⢡⠊⡙⢷⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⢡⢂⠱⡈⢆⢹⣀⠣⡀⢀⢀⣧⡂⠱⡘⠹⢤⡷⠜⣒⠚⢢⠑⡌⢢⠸⣟⠿⣦⡤⠔⡚⢩⠐⡹⢆⡑⢸⡄⢣⠐⡄⢣⠘⢧⡘⠰⡀⢆⠙⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠞⣠⡗⢈⢲⡇⢌⠸⡄⢳⡈⢍⡞⠄⠳⣥⢈⡑⡢⠄⣣⠔⡫⢉⡑⠺⣄⠣⣁⠒⠤⣉⠳⠼⣄⠣⡐⢢⠘⡄⢋⠄⢣⠘⡄⢃⠆⡹⡆⠱⡈⢌⢂⡙⢆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡼⢋⡐⡖⢌⠢⢼⠐⡌⢸⡇⡘⢇⡼⢃⠊⣧⢈⠳⠼⢃⠾⢄⡓⡐⠣⡌⠣⣌⢳⣠⠞⠖⡠⢑⠢⢌⠱⠞⣀⠣⡘⡆⢊⠤⢃⠜⡠⢊⠔⡨⢷⠈⢆⠢⡘⡈⢷⡀⠀⠀ ⠀⠀⠀⠀⡠⠛⡄⢃⡞⠨⢄⢃⡇⢎⠰⢹⡆⢡⡛⠰⡈⣛⠜⣦⡱⢈⠌⣟⠠⡒⠥⣃⡜⣡⢢⣿⠋⡙⠳⢤⣃⡜⠠⢃⠜⡠⠑⢤⡟⢠⢊⠔⡨⢐⠡⢊⠔⣈⢳⡈⢆⠱⡈⢌⠻⣆⠀ ⠀⠀⠀⡜⠰⢡⢘⡎⢌⠱⡈⢼⡁⢎⠰⡉⣦⠉⡔⢡⠜⡡⢊⠄⡓⢬⣂⡹⣆⢱⢂⠓⡚⢛⡻⢦⢼⣄⡃⠆⠤⣉⠛⠲⠬⣔⡩⡼⢁⠆⣸⡆⠱⡈⢆⠡⢊⠔⣈⢳⡈⢆⠱⡈⡖⠻⡆ ⠀⠀⡜⣈⠑⣂⠟⡰⢈⠆⡑⢾⠈⢆⠱⢠⢱⡾⢀⠣⡘⢄⠣⡘⢄⠃⡌⣉⠹⢗⡪⠾⠔⡋⠔⣸⠂⡌⢿⡺⠐⡄⠣⡑⠢⢄⢳⡇⢊⠔⡠⣧⠑⡌⢢⢁⠣⡘⢄⠂⢷⡈⢆⢱⠀⠀⠛ ⠀⢀⡇⡄⢃⡞⠤⡑⢌⠢⣁⣯⠘⡌⢂⠣⢌⡁⢾⠠⡕⠊⠂⡓⡢⠓⣐⢂⠑⢂⡛⠂⢣⠚⢐⣊⡗⠒⣠⠟⢣⢜⢖⠁⢓⣨⠂⡜⢠⠊⡔⢣⡘⢄⠣⢌⠢⡑⢌⡘⢄⠣⢌⢸⠀⠀⠀ ⠀⠸⡟⢹⢬⢃⠢⡑⣈⣒⠠⣟⡰⢈⠆⡱⢂⠌⣌⣧⣇⢸⢰⣧⠔⣟⢙⣸⡼⢼⠐⣣⡃⣧⠈⣧⡇⠦⡛⣼⠇⡜⢜⠎⢻⡎⢱⠎⡄⢣⠘⣸⠰⣈⠒⡌⢢⠑⢢⠘⡄⠣⢌⢸⠀⠀⠀ ⠀⠀⠃⢘⣎⡤⢗⣪⠅⡉⢆⣟⠁⢎⠰⡁⠎⣴⠛⠻⠽⠺⠰⠻⠰⢻⡜⢆⡟⠼⠍⢇⠇⢧⢃⡯⠏⠿⠇⣏⡽⠰⠼⡘⠯⢱⢺⢂⠜⡠⢃⢼⠁⢆⠱⡈⢆⡉⢆⠱⣈⠱⡈⢼⠀⠀⠀ ⠀⠀⢀⡼⢩⡴⢋⠔⡨⢴⢋⢸⡌⢢⠑⢌⢢⡇⡉⢆⡑⢢⠑⣂⠒⡄⢢⣼⠃⡔⡈⢆⡴⠞⡁⢆⠡⢂⠒⢬⡇⡘⠰⡐⢄⠂⣿⠈⢆⠱⣈⠌⡊⢄⠣⡘⠤⡘⢄⠣⢄⠣⠌⣧⡆⠀⠀ ⠀⣠⣏⣴⠏⡼⡌⣒⡴⢃⠌⢢⠘⢄⡪⠂⢌⡧⢑⠢⡘⢄⠣⢄⠣⣘⠤⠿⣇⢄⡷⢋⠔⡡⠘⣄⢳⣈⡌⣸⢃⠌⡱⢈⠆⣡⡏⡘⢄⠣⡐⢌⡐⢊⠔⡡⢂⠱⣈⠒⡌⢢⠑⣸⡇⠀⠀ ⠘⠉⢸⣏⢸⡇⣹⡯⢗⠛⡩⣦⣉⠎⠀⠀⠀⠹⡆⠱⡈⢆⡑⢢⠟⠋⢭⠙⣹⠏⡰⢁⠎⡰⠡⣽⣺⡽⣊⡟⢠⠊⡔⢡⠊⠴⢃⠜⡠⢃⠜⡠⠘⡄⢊⠔⡡⠒⡄⢣⠘⡄⠣⣘⡇⠀⠀ ⠀⠀⢸⠻⣸⠖⡩⠐⡌⢢⠑⡠⢹⠀⠀⠀⠀⠀⢹⡅⡘⢤⢲⠃⠀⠀⠀⢳⢏⡷⣖⠡⢊⠔⡡⢁⠆⣩⡟⢠⢃⠴⠮⣄⡉⢆⢡⠶⢥⡊⠔⡡⢃⠜⡈⢆⢡⣃⣜⠠⢃⠌⡡⢸⡇⠀⠀ ⠀⠀⢸⢶⠉⢆⠡⢃⣼⡃⠜⣠⢙⠀⣀⠠⠤⠚⢡⢐⡼⢚⢲⠇⠀⠀⠀⣺⠘⢽⡟⢠⠃⡜⢠⢃⡼⢳⢌⠖⠁⠀⠀⢸⣰⠜⠁⠀⠀⠙⢮⢐⠡⢊⠔⣨⠂⠉⠉⠑⠊⢴⠁⠆⣧⠀⠀ ⠀⠀⢸⠃⠎⡄⢃⡎⢠⠃⢿⣿⡾⡋⣤⢇⡌⣟⡾⠋⠘⠀⠁⠀⠀⠀⠀⢇⡘⠤⡘⢄⠣⡘⠒⢿⡡⣧⣿⠀⠀⠀⠀⢰⡎⠀⠀⠀⠀⠀⠀⠧⡑⢨⠞⠁⠀⠀⠀⠀⠀⠀⠙⢎⡷⠀⠀ ⠀⠀⢸⢉⠒⡌⢸⡖⠁⢎⣰⢏⣴⢑⣠⠸⣷⣘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠺⢄⡣⢘⠠⢃⠌⡱⢸⢳⡟⡟⣧⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢸⠷⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠇⠀⠀ ⠀⠀⢖⡷⢈⠔⣹⢆⡩⣾⡕⣡⡇⣊⠍⡾⠁⠹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠳⣌⠢⡘⠤⣟⢸⡿⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠧⡘⠤⢙⡈⠑⣯⢓⣿⠡⣟⡖⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⢆⡯⢀⠣⢰⣿⢼⢇⠆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⡔⢠⣣⣆⢳⡀⠀⡏⣇⡼⢹⠾⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢃⡉⡾⢁⠎⡐⣯⡧⡇⢸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⠠⡙⢛⠡⢣⡀⠑⠧⠀⠀⠑⠇⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⡔⢧⡚⡉⢆⠡⢊⣼⡷⢫⡃⠘⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢧⡘⢄⠃⢆⡘⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣯⣡⡭⠴⡋⠔⣡⣌⢢⣱⢟⠇⠸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠳⡌⡘⢄⠒⠤⡉⡑⠤⢀⣄⠀⢀⣠⠤⠤⢒⣉⣹⣣⣴⡵⠾⣶⢋⣤⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠲⣌⠘⠤⣑⣸⡦⢇⠠⢊⠩⡐⢎⠚⡉⠥⢨⠁⢆⠰⣁⠷⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⢌⣻⡫⡁⠎⡄⢣⠐⡌⢢⣑⣌⣢⠭⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⠿⠋⠏⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠟⣧⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣴⣞⡛⠋⠉⠉⠉⠙⠛⠓⠶⣤⣀⠀⠀⠀⣼⠃⠼⣧⣀⣠⣤⣤⣤⣤⣄⣀⣠⡟⠀⢹⡇⠀⣤⣶⠛⠛⠉⠉⠉⠉⠉⠉⠙⠛⠲⢦⣄⡀⠀⠀⠀⠀⠀ ⠉⠉⠉⠙⠳⣄⠀⠀⠀⠀⠀⠀⢈⣽⠗⠀⢀⣿⡀⠷⠛⠉⠁⠀⠀⠀⠀⠈⠿⠋⠀⠀⣸⠇⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣦⡀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣼⠁⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠟⢷⡀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣬⣻⣦⠀ ⠀⠀⠀⠀⣰⡏⠀⠀⠀⠀⠀⠀⣿⠀⣰⢟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡄⠀⣾⡀⠀⠀⠀⠀⠀⠀⠀⢸⠋⠀⠀⠀⠀⠀⠀⠙⠃ ⠀⠀⠀⡴⠿⠖⠒⠶⣦⡀⠀⠀⠹⣧⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣼⠃⠁⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⣷⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⢠⣤⠾⠋⠁⠀⠀⠀⣠⡶⠒⠓⠶⢦⣄⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣤⠴⠶⣾⠀⠀⠀⠀⠀⢀⢻⠁⠀⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠿⠳⢶⣦⣤⣀⠀⣿⠀⠀⠀⠀⠀⠈⠙⠷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⠀⢹⡗⠀⠀⠀⠀⠛⠉⠉⠉⠙⠛⠶⣦⠄⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠉⠳⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢦⣤⣀⡀⠀⠀⠀⠀⠀⠀⣀⠀⠀⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣟⢻⡟⠛⠛⠛⠹⣦⢰⡇⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠾⠃⠀⠀⠀⠀⠹⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣶⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⠋⠁⠀⠀⠀⠀⠀⠀⣀⠠⠤⠐⠒⠀⠀⠀⠀⠐⠒⠒⠀⠀⠠⠤⠠⠉⠉⠉⠉⠙⠿⠿⠿⠿⢶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀⠀⠀⣀⠴⠚⢉⣀⠤⠄⠒⠒⠒⠀⠁⠉⠀⠒⠒⠂⠠⠤⠤⠤⠤⠤⠤⠤⠤⠄⠀⠒⠒⠢⠌⠉⠛⢿⣦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠀⠀⠀⠀⡠⠔⠉⣀⠔⢊⡡⠤⠒⠒⠀⠉⠉⠉⠉⠹⣅⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠤⠤⠔⠒⠦⢄⡀⠀⠀⠀⠀⠈⠻⣷⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠋⠀⡠⠊⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⢠⠂⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣿⠏⠀⠀⠀⠀⠀⠀⠈⠀⠈⠁⢀⣠⣴⣶⣶⣶⣶⣶⣶⣶⣤⣀⠀⠁⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⣿⣆⠀⠀⠀ ⠀⠀⠀⣠⣾⣿⠧⣤⣠⣀⡀⠀⠀⣀⣠⠄⢀⣴⣟⣻⣿⣿⣿⣿⣿⣇⣀⡀⠙⠻⣷⣤⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣦⠀⣀⣀⣀⣀⠀⠈⠻⣶⣄⠀ ⠀⢠⣾⢟⡝⠉⠉⢀⣤⣤⣤⣤⣄⣈⠉⠔⠀⠙⠛⠋⠉⠉⣩⣿⠉⠙⠛⠿⣶⣶⣾⠿⠀⠀⠀⠀⠘⢿⣿⣿⣿⠿⠟⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⣌⡑⠦⡈⢻⣧ ⣰⡿⠃⡎⠀⢀⣾⡟⠋⠉⢉⡍⠙⠻⠿⣶⣦⣤⣤⣤⣴⡾⠟⠁⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⢀⡀⠀⢀⣠⣴⣶⣶⣦⣄⡙⡆⠈⡄⣿ ⣿⠃⠀⡃⠀⣿⠏⠀⠀⢀⣼⣿⣤⣀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⣀⠀⠀⠀⠙⠿⢶⣿⠿⠁⣠⠀⠈⠉⠁⢰⠀⡱⣿ ⣿⡄⠀⡇⠈⣿⡀⠴⣶⣿⣿⡍⠙⠻⢿⣶⣤⣀⡀⠀⠀⠀⠤⠤⠤⠤⠞⢠⣿⠟⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣷⣦⡀⠀⠀⠀⠀⠀⢀⣿⣆⠀⠀⡠⠎⢀⣇⣿ ⢻⣷⠀⢣⠀⠻⣧⠀⠀⠀⣿⣷⣄⠀⠀⠈⠙⣿⡿⣷⣶⣤⣤⣀⡀⠀⠀⠸⣿⡄⠰⡿⠿⠿⠗⠀⠀⠀⠀⠀⣴⡿⠛⠛⠉⠒⠤⣀⠀⢀⣼⣿⣿⡆⢀⡠⠔⢋⣾⠏ ⠀⠻⣷⣄⠑⠦⢄⠀⠀⠀⠈⢿⣿⣷⣶⣄⣀⣿⣧⠀⠀⠉⠙⠛⠿⢿⣶⣦⣬⣅⣀⡀⠀⠀⠀⠀⠐⠿⢶⠿⠋⠀⠀⠀⠀⠀⣀⣤⣶⣿⠿⣷⣿⡇⠀⠀⢀⣿⠏⠀ ⠀⠀⠘⢿⣿⡒⠀⠀⠀⠀⠀⠀⠻⣷⡌⠙⠻⣿⣿⣷⣦⣤⣀⠀⠀⢀⣿⡏⠉⠛⠛⠛⠿⢿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⠿⣿⡿⠋⠉⣿⡄⢻⣿⣟⠀⠀⢸⡿⠀⠀ ⠀⠀⠀⠀⠙⢿⣆⠀⠀⠀⠀⠀⠀⠘⢿⣦⠀⣹⡟⠙⠻⢿⣿⣿⣷⣾⣿⣄⣀⠀⠀⠀⠀⢘⣿⡀⠀⠀⠀⢻⣯⠀⠀⠀⠀⢹⣿⡀⣰⣿⣷⣾⣿⣯⠀⠀⢸⡗⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⣇⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡃⠀⠀⠀⠀⠉⠙⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⣄⠀⠀⠀⣰⣿⠁⠀⠀⠉⠉⠛⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⣿⠇⠀⠀⢸⡗⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⡀⠀⠀⢀⠀⠀⠈⠻⢿⣦⣴⣿⡃⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⢨⣿⠋⠉⠉⣽⡟⠉⣠⣿⠃⢼⣿⣾⠟⠀⠀⠀⢸⣯⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⣌⠑⠢⢄⡉⠒⠤⣀⠀⠈⠙⠛⠿⣶⣶⣤⣤⣄⣀⣼⣿⡀⠀⠀⠀⣼⣿⠀⢀⣴⣿⣁⣠⣿⣧⣴⣾⠟⠋⠀⠀⠀⠀⢸⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣦⣄⡈⠑⠢⢄⡉⠑⠢⠄⣀⠀⠀⠈⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠀⠀⢀⠄⠀⠀⠀⠀⢸⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣷⣦⣄⣈⠉⠒⠠⢄⣉⠒⠂⠤⢄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⠁⠀⠀⣰⠀⠀⢸⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣶⣤⣀⠀⠈⠉⠀⠒⠒⠤⠤⠍⣉⣉⡁⠉⠈⠁⠉⠁⠉⠈⠉⠉⠀⠀⠀⣀⠴⠚⠁⠀⠀⢠⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⢀⣾⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⣶⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⠿⠷⢶⣶⣶⣤⣤⣤⣤⣤⣴⣶⡶⠿⠛⠉⠀⠀⠀⠀⠀ troll

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢤⡖⠋⠀⣀⠠⢤⣤⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡟⡏⢀⣠⡾⠋⣕⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣻⣙⠧⠛⠒⠛⠃⠍⡙⢍⠫⡙⡙⡒⠞⡫⠤⠲⠒⡨⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⡧⠋⢀⢮⡭⠐⠀⠀⠀⠈⢀⣀⣃⣃⣀⣠⢡⡴⠒⠉⠀⠀ ⠀⠀⠀⢀⢺⣴⡤⢼⡡⠔⠡⢕⠁⠀⡠⠒⡀⠦⠉⠰⢮⢦⡀⠈⡒⣼⣲⣄⠀⠀ ⠀⠀⠀⡾⡟⠉⠂⠁⢀⣤⣀⣠⢒⠔⠀⡔⠱⢦⠀⡢⠱⡚⠛⢦⡙⡄⠀⠈⠃⠀ ⠀⠀⠘⢄⣀⣄⣠⣴⣿⣿⣿⠞⠁⠀⢰⣡⣀⠐⠽⣧⠄⠘⡄⠀⠘⢿⢦⡄⠀⠀ ⠀⠀⢀⣀⣙⢿⡿⢿⣽⡟⠁⠀⢀⠠⠛⠫⡛⡤⠎⣥⡗⠀⠘⡄⠈⠆⢫⡝⠄⠀ ⠀⢔⠕⠉⠙⠵⢽⡿⠋⠀⣀⡤⠅⠒⢶⣢⠝⡀⠈⢺⠇⠀⠀⠰⠀⠀⠈⡇⠀⠀ ⡌⣯⣀⠀⠀⠀⠈⠢⠼⠮⠛⠀⠀⠀⠈⠋⠣⡈⠱⠘⢸⠀⠀⠀⠇⠀⠀⢹⠀⠀ ⠇⣢⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣗⡄⠀⢀⠀⠀⠀⢸⠀⠀⠘⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠻⣻⠈⢂⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣏⠟⢁⠀⠀⢂⠈⡄⠀⠀⠀⠀⢸⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠉⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⢀⣠⠶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠁⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⣠⡖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⣠⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠘⢦⠀⠀⠀⠀⠀⠀⠀⣴⠛⢛⣩⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⢀⣀⠈⠙⠛⠓⠒⠦⠤⣞⣹⡶⠛⠁⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⢀⣴⠿⣅⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠟⠒⠋⠉⠁⠀⠀⠀⢀⣤⠖⠋⠉⠁⠻⡄⠀⠀⠀⠀⠀⡏⠀⠀⠀⢀⣴⠋⠀⠀⠀⠉⠛⢦⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠄⢀⣠⠖⠉⠀⠀⣀⣤⣶⠂⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠈⠲⣄⠀⠀⣰⠇⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⡀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⣇⡴⠋⠀⠀⠀⣠⠞⠉⡾⠁⠀⢀⣠⠾⢶⡾⠂⠀⠀⠀⠀⠀⠀⠀⠈⠙⢾⣁⣠⡤⢼⣇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠖⠛⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠋⠀⠀⠀⢠⡞⠁⠀⠀⠷⠖⠛⠉⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣏⣀⣀⣀⡤⠤⠖⠛⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⣠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠀⢀⣴⠞⠉⢩⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⠞⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⠊⠀⠀⠀⠀⠀⢀⡎⢀⠀⠀⢲⡀⠔⠒⠋⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠁⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⢀⣀⣠⠴⢚⠁⠀⠀⠀⠀⠀⠀⠸⡟⠁⠀⠀⠀⠙⣦⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢠⡇⠀⠀⠀⠀⣠⢶⣻⣿⣿⢿⠁⡼⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣀⣤⠖⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠀⠀⠀⢸⡃⠀⠀⠀⢠⣿⡟⠹⡄⡇⣼⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢷⡀⠀⣀⣤⡖⠛⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠈⠁⠀⠀⣰⢿⢿⣷⣖⣯⠟⠁⠀⠀⠀⠀⢀⣀⣀⣀⣠⡾⠁⠀⠀⠀⠀⠀⢰⡇⠀⢀⠀⠀⠀⠀⠳⡏⠉⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡄⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⢠⠞⠁⠀⠀⠀⢀⣼⠛⠉⠹⡍⣩⠇⠀⠀⠀⠀⠀⠀⠀⣸⠒⠒⠉⢷⡀⠀⠀⣼⠏⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡼⠃⣧⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⣾⡋⢣⡀⠀⢳⠏⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣀⡬⠟⠶⣟⡁⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀ ⠀⣠⢴⡇⠀⢈⡽⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⡄⠀⠀⣸⠀⠀⠀⠀⢀⣼⠃⠹⡀⢳⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⢠⠞⠁⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀ ⣼⠃⠀⠷⠔⠚⠁⠀⢀⠀⠀⠀⠀⢀⡴⠛⠁⠀⠀⠀⠀⠀⠀⣀⣠⡾⣅⡀⠀⢳⡀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡞⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀ ⡇⠀⠀⠀⠀⠀⢀⣴⠏⠀⠀⠀⢠⠞⢁⣤⣶⣶⢶⣲⠒⠒⠋⠉⠉⠉⠓⠻⣦⡀⣇⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⡇⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⢀⣴⣿⢿⣄⣽⠺⡀⢀⣤⠤⠖⠒⠉⠉⠁⠀⠙⢾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣥⠤⠶⠖⠚⠋⠉⠙⠒⠶⢤⣽⡄⠀⠀⠀⠀⠀⠀⢳⡀ ⠹⣦⣀⠀⠀⠀⠀⠀⠀⢀⣀⣴⠿⢿⠷⣼⡄⠉⣤⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣ ⠀⠀⠉⢻⢿⣿⣿⣿⠿⡟⠻⡿⡄⠈⣇⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠒⠛⠉⠛⣿⠀⠀⠀⠀⠀⠀⠀⣠⡾⠛⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠳⠷⠿⠾⡷⢿⠢⠷⠙⠦⣸⡆⢸⡇⠀⠀⠀⠀⢠⡴⠒⠚⠉⠉⠁⠚⣿⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⢷⠀⠀⠀⠀⣿⢻⡀⠀⠀⠀⣀⢸⣿⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⢠⡿⢸⣷⠀⠀⠀⣿⡙⢻⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡤⠾⠃⣀⡴⠋⠙⢧⣻⠀⠀⠀⣏⠛⡾⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⠛⢋⣁⣀⡤⠖⠛⠁⠀⠀⠠⣼⣿⠀⠀⢼⠬⣷⡇⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡾⣫⡥⠖⠒⠋⠉⠉⣠⡏⠀⠀⠀⣦⣰⡶⢿⣿⠦⣄⣈⢣⡾⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡏⣾⠁⠀⠀⠀⣀⣴⣺⠏⠀⠀⠀⠀⠻⡍⢻⣾⣈⢦⡀⢉⡿⠁⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣷⡈⠉⠓⠒⠻⠷⢯⣵⠶⠃⠀⠀⠀⠀⢹⡾⠾⠿⠿⠿⠋⠁⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⣄⣀⣀⣀⣀⣠⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀