⠀⠀⠀⠸⠿⣿⣿⠿⠟⠻⠿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣶⣤⡀⠀⠀⠀⠀⣠⣶⣿⢿⣷⣦⡀⠀⠀⠀⠀⠀⢀⣴⣿⡆⠀⠀
⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠉⠀⠀⠙⣿⣿⡆⠀ ⢀⣿⡿⠀⠀⠀⠀⢿⣿⡄⠀⠀⢺⡿⠿⣿⣿⡇⠀⠀
⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⣠⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀ ⣿⣿⠀⠀⠀⠀⠀⠘⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀
⠀⠀⠀⠀⠀⣿⣿⠿⠿⠿⣿⣿⠋⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⠀⠀⠀ ⣿⣿⠀⠀⠀⠀⠀⠀ ⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀
⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀ ⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⣤⣴⣿⣟⣁⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀ ⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀
⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣦⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀
⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀⠈⣿⣷⠀⠀⠀⢀⣿⡿⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀
⠀⠀⠀⠸⠿⠿⠿⠿⠿⠀⠀⠀⠀⠻⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠀⠀⠀⠀⠀⠛⠿⠿⠿⠟⠉⠀⠀⠀⠀⠀⠿⠿⠿⠿⠿⠿⠿
⠀⠀⠀⠀⁻¹¹⠀⠀⠀⠀⠀₋₂₀⠀⠀⠀⠀⠀⠀⠀⠀⠀₋₁₅⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⡿⠁⠀⠀⠀⠀⁻¹⁵⠀⠀⠀⠀⠀⠀⠀⠀⁻¹¹⠀
⠀⠀⠀⠀⠀⠀⠀₋₁₅⠀⠀⠀⠀⠀⠀⠀₋₁₅⠀⠀⠀⠀⠀⠀⁻¹¹⠀⠀⠀⠘⠿⠿⠿⠛⠋⠁⠀⠀₋₂₀⠀⠀⠀⠀⠀⁻¹⁵⠀⠀⠀⠀⠀⠀⠀⠀𝑰 𝒏𝒆𝒆𝒅 𝒍𝒊𝒈𝒉𝒕 𝒂𝒎𝒎𝒐.
⠀⁻²⁰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⡦⣤⡤⣄⣠⣀⣀⣄⣀⣄⣀⢄⣤⡤⢤⠤⡤⠤⠴⡤⠤⠦⡤⠴⢤⠴⡤⣴⣤⣬⣫⣟⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠄⣤⣤⣤⣤⣤⢠⣬⡽⡙⢍⠩⣻⠉⠙⠫⢩⡽⡭⣍⢽⠿⡻⣻⣿⣿⡷⣛⣟⠛⢛⣛⠛⢛⣽⡷⡿⠮⠯⢵⢶⢶⡶⠶⠶⣶⣦⡳⢾⢶⠷⠶⠶⣖⣤⢠⠀⠀
⠀⠀⠀⠉⠉⠉⢉⣽⣽⡼⡽⣮⢶⢶⢶⢦⡶⡴⡶⡶⡮⣮⢶⢦⣷⣼⣼⣼⣶⣾⣿⣉⣞⣶⡶⣶⠾⣿⡫⣪⣭⣭⣭⣥⡷⠿⠻⠿⠣⠶⠾⠿⠿⣿⢿⢿⡟⣽⢸⠀⠀
⠀⠀⠀⠀⠀⠀⠛⠋⠁⠒⠒⠒⠒⠒⠒⠒⠒⢶⠖⠒⠒⠒⢲⣶⠶⠶⠶⠶⠶⠶⢶⣶⣞⢿⣿⢿⡑⣮⡛⠂⠉⠉⢹⠋⣗⣿⣇⠀⠀⠀⠀⠀⠀⠀⠙⠻⡇⣿⠨⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣞⢿⣿⣻⡖⡛⠋⠒⠒⠐⠊⠙⣿⢤⣶⡀⠀⠀⠀⠀⠀⠀⠀⣿⢿⡃⠀⠀
⠀⠀⢠⡾⠿⣦⠀⠀⣿⠀ ⢸⡿⠶⣄ ⣿⠿⢶⡄⠀⣷⠀⣿⠀⠀⡇⠀⣿⠿⠇⠀⠀⠘⣿⣮⢿⡣⡪⣢⡀⠀⠀⠀⠀⠀⠙⣮⢟⡟⠀⠀⠀⠀⠀⠀⠀⠈⠘⠃⠀⠀
⠀⠀⣿⠀⠀ ⠿ ⠀⡏⣧ ⢸⡇⠀⣿⠀⣿⠀⠀⡇⠀ ⣿⠀⣿⣧⠀⡇⠀⣿⠀⠀⠀⠀⠀⠘⠛⠉⣾⣟⣿⣷⡀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀━　⬋　⊹　◥
⠀⠀⣿⠀⠀⠀⠀ ⣸⠀⣿ ⢸⡟⢿⠁⠀⣿⠛⠻⣄⠀⣿⠀⣿⠸⡄⡇ ⣿⠛⠀⠀⠀⠀⠀⠀⠀⠐⡿⢯⢿⢧⣤⠀⠀⠀⠀⠀𝚈𝚘𝚞 𝚊𝚛𝚎
⠀⠀⢻⡀⠀⣿⠀⣿⠛⢻⡄⢸⡇⠘⣇⠀⣿⠀⠀⣿⠀⣿⠀⣿⠀⢻⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣏⣟⣋⡹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀𝚖𝚢 𝚍𝚎𝚜𝚝𝚒𝚗𝚢.
⠀⠀⠀⠛⠛⠁⠀⠋⠀⠀⠃ ⠘⠃⠀⠛⠀⠛⠛⠛⠀⠀⠛⠀⠛⠀⠀⠃⠀⠛⠛⠃