🐧⭐️

🐧😎₊˚⊹♡☃︎☃༘˚⋆𐙚｡⋆𖦹.✧˚ beutiful binguin

🐧🚴🛣

⋆°࿔ 𝐧𝐚𝐦𝐞 𝜗𝜚°⋆⊹₊ ⋆ 🐧 ྀི ⊹₊ ⋆🦢

˚ ༘ ೀ⋆｡˚𔓘 Airishh 𔓘˚ ༘ ೀ⋆｡˚𓍢ִ໋🌷͙֒ 🐧

🐧⋆⁺🧊₊❅.

⠀⣁⠀⠁⢀⢀⠀⠉⠀⠈⠁⠀⠀⠀⠉⠁⢁⣀⠈⠁⠀⢉⡀⠉⠀⢀⣠⡀⠁⠀⠁⢀⣨⡈⠁⣀⡀⣀⡀⡀⢀⢀⢀⠀⣀⣀⣀⣀⠉⠁⠈⠀⠀⠁⠈⠉⠀⠈⠀⠀⠀⠀⠀⠉⠉⡀⡀⠀⠀⠀⠀⠁⠀⠉⡀⠀⠀⠀⠀⠀⠉⠈⢁⣄⠀⣀⣉⠉⠉⠁⠀⠈⠀⠈⠀⠈⠁⠀⠉⠀⠀⠀⣀⣀⠈⠁⠈⢀⡀⡀⠀⠀⢁⡀⠀⠀⠈ ⠀⣿⣧⣤⣼⣿⢠⣶⠟⣶⣼⣶⡄⣼⡟⠀⢸⣿⣤⡿⠋⣿⣇⣵⡾⠷⣿⣧⣴⡟⠗⢸⣿⠃⠀⣿⡇⣼⢿⡇⣾⡇⣿⡇⢿⡇⢸⣿⠀⠘⣾⡄⣰⡟⣶⡾⠻⣦⣸⣾⠀⢸⣶⠀⠀⣿⡷⢿⣦⣀⣶⠟⣷⣄⣿⡇⣿⡶⠿⣶⡄⠀⢸⣿⣾⣟⠀⣠⡾⠿⣶⣘⣷⡀⣿⡆⣸⡗⠿⣛⣷⣄⣸⡏⣴⣾⠳⢆⣿⣇⣾⠞⢹⣿⠀⠀⠀ ⠀⣿⡇⠀⢸⣿⠸⣿⣛⣛⡃⠹⣧⡿⠀⠀⢸⣿⠻⣷⣀⣿⡏⢿⣇⣠⣿⡇⣙⣻⣷⢠⣭⡄⠀⠸⣿⡿⠘⣷⣿⠀⣿⡇⢼⡇⢸⣿⠀⠀⠸⣷⣿⠁⢿⣇⣠⣿⠛⣿⣄⣼⣿⠀⠀⣿⡇⢸⣿⠸⣿⣛⣛⡃⣿⡇⣿⣇⣀⣿⠇⠀⢸⣿⠙⢿⣄⢻⣇⣀⣿⠇⢻⣿⠏⣷⣿⠁⣾⣋⣽⡇⢹⡏⢈⣛⣿⡾⣿⡟⣷⣄⢸⣿⠀⠀⢸ ⠀⠉⠁⠀⠈⠉⠀⠈⠉⠉⠀⣤⡿⠃⠀⠀⠈⠉⠀⠉⠉⠉⠁⠈⠉⠉⠉⠁⠉⠉⠁⠈⠉⠁⠀⠀⠉⠁⠀⠉⠁⠀⠉⠁⠈⠁⠈⠉⠀⠀⣤⣿⠃⠀⠈⠉⠉⠁⠀⠉⠉⠉⠉⠀⠀⠉⠁⠈⠉⠀⠈⠉⠉⠁⠉⠁⣿⡏⠉⠉⠀⠀⠈⠉⠀⠈⠉⠁⠉⠉⠁⠀⠈⠉⠀⠉⠁⠀⠉⠉⠉⠁⠈⠁⠈⠉⠉⠀⠉⠁⠈⠉⠈⠉⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡤⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡗⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠺⣛⣿⣦⢼⣷⠿⣷⡄⠺⣛⣿⣦⢸⣿⢹⣷⢀⣿⠻⠿⣿⡿⣰⡾⣻⣶⡀⠘⢿⡿⠓⣿⡷⢻⣷⢠⣶⢻⣷⡆⠀⢸⣷⠞⢿⣦⣾⣷⠿⣰⡾⠛⣷⡤⣿⡷⠻⣷⣤⣿⣇⣶⢟⢻⣦⣿⡷⢻⣷⠾⣿⡦⠙⣋⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⣿⣏⣽⡇⢸⣿⠀⣿⡇⣿⣏⣽⡇⢸⣿⠀⢿⣾⡏⢠⣾⣋⣠⢻⣯⣛⣻⠁⠀⢸⣷⡀⣿⡇⢰⣿⠙⣿⣟⣙⡏⠀⢸⣿⣀⣸⡿⢹⣿⠀⢻⣧⣀⣿⠟⣿⣧⣠⣿⠓⣿⡟⢿⣟⣋⡛⢹⡇⠈⣿⠀⢾⡇⠀⣽⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠈⠉⠈⠁⠈⠉⠀⠉⠁⠈⠉⠈⠁⠈⠉⢠⣼⠟⠀⠈⠉⠉⠉⠀⠉⠉⠉⠀⠀⠀⠉⠁⠉⠁⠈⠉⠀⠈⠉⠉⠁⠀⢸⣿⠉⠉⠀⠈⠉⠀⠀⠉⠉⠁⠀⠉⠈⠉⠁⠀⠉⠁⠀⠉⠉⠁⠈⠁⠀⠉⠀⠉⠁⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠉⠉⠉⠉⠛⠳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠛⠋⠉⠈⠐⠻⣟⣛⣽⣿⣻⠟⣉⣤⣐⡲⣶⣭⣵⣐⡦⠀⠐⠀⠺⣟⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠐⠺⠿⠷⣶⣶⣶⣶⣶⣶⣛⣻⣛⣛⣽⣙⣿⣿⣷⣶⣶⣶⣶⣿⠿⠿⠿⠟⠛⠗⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⣽⡍⣻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⠛⢙⣛⡿⠿⠟⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⢵⣦⣽⡷⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣧⡳⠇⠀⠨⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢽⣞⣻⣢⠠⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⡻⣟⡽⠿⠂⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣛⣭⠷⡟⠛⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠿⠛⠈⠀⠀⣼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡨⠙⠛⠉⠀⠀⣸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⣤⣖⡃⠠⠤⠤⠤⠰⡿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⠖⡚⠓⠒⢒⣒⣒⠤⢿⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠘⣟⠉⠉⠉⠉⠉⠉⠈⠈⢹⡆⢳⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣷⣄⠀⠀⠀⠀⠀⢻⡉⠉⠉⠉⠉⠉⠉⠉⠉⡏⠸⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠸⡅⠀⠀⠀⠀⠀⠀⠀⠀⡇⣤⢻⣿⣿⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣦⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⢸⢱⣝⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⣹⣀⡀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⠀⠀⠀⠀⠀⢠⣿⣿⣿⡟⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⡀⢽⣿⣿⣿⣧⠀⠀⠀⠀⢨⣆⣀⣀⣀⠀⠀⠀⠀⢸⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⠿⠛⠁⠀⠀⠀⠀⢯⢹⣿⣿⡟⠀⠀⠀⠀⢀⣿⣿⣿⡟⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠈⢀⡀⠤⢸⠸⣿⣿⣿⡄⠀⠀⠀⠈⠿⡟⠛⠉⠀⠀⠀⠀⢸⡈⢿⢿⢿⠁⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⣀⡀⠀⠀⡀⠀⢸⠀⠀⠁⡣⠀⠀⠀⠀⢸⣿⣿⡟⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠄⡁⠌⡐⣀⢦⡟⠀⠸⣿⣿⣷⠀⠀⠀⠀⠀⢹⠦⢀⣀⡀⠀⠀⣀⡇⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠉⠉⠙⠒⠚⠃⠀⠀⡇⠀⠀⠀⠀⢸⣿⣿⠁⠀⠀⠀⢳⡀⠀⠀⠀⡒⠀⠀⠀⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⡀⢂⠥⢒⡨⣡⠵⣸⠞⠀⠀⠀⠹⣿⣿⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠉⠉⠉⠃⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⢸⡿⠃⠀⠀⠀⠀⠀⠙⢄⣇⠰⡌⠴⠌⠥⡐⡀⠢⠤⣀⠀⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⡀⠀⠀⡀⢠⠤⣀⣂⠖⣌⡲⣍⡶⣬⢯⣞⣭⢷⣭⠟⠋⠀⠀⠀⠀⠀⠙⢿⠆⠀⠀⠀⠀⠸⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣞⣻⣻⣶⣧⣽⣍⣳⣦⡳⣴⣙⡖⣦⢢⡤⣄⡖⣤⢢⣒⣆⢦⣌⣦⣲⣔⣮⣼⣾⣵⣾⣽⣾⣿⣾⣷⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣾⣗⣀⠀⠀⠀⣀⣄⣴⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣠⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⣍⣉⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⢉⣭⣿⣿⣿⣿⣿⣿⣿⣿⣭⣤⣤⣤⣤⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣧⡶⣄⣀⢀⣀⢤⣶⣯⣀⡀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠚⠋⠉⠈⠉⠉⠉⠁⢿⣿⢿⣿⡳⠤⠀⠀⠒⠒⠛⠛⠛⠛⠛⠛⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠙⠛⠻⠟⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠋⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠏⠉⠉⠉⠉⠉⠛⠂⠀⠀⠀⠀⠊⠉⠁⠀⠀⠀⠀⠀⠸⣿⡻⢿⣟⡓⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠉⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠈⠁⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠁⠀⠁⠀⢀⠁⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠈⠀⠀⠀⢀⡀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢲⣖⢶⡔⣲⣴⡆⣶⢴⡶⠀⢰⡶⣶⣷⣤⡖⣦⣴⣶⣶⣷⢴⡶⣦⢶⣴⣖⣲⠺⢴⣲⡆⢀⡖⠶⡶⢦⣖⡦⡴⢺⡇⣷⣾⡗⠀⣰⡶⢴⣷⡴⣶⢦⡖⣿⠀⠰⡶⣶⢴⡦⣶⢰⡶⣶⣷⢤⡗⢶⣤⣖⣦⣶⠖⠀⠀⠀⠀⢸ ⠀⠀⠠⠄⠤⠀⠤⠀⠠⠄⠀⠀⠤⠁⠄⠀⠢⠤⠀⠄⠤⠁⠄⠀⠤⠄⠄⠠⠀⠤⠠⠄⠀⠀⠀⠀⠀⣀⡟⠀⠙⠚⠈⠓⠛⠚⠓⠀⠘⠓⠛⠘⠊⠓⠋⠘⠓⠓⠙⠘⠓⠛⠘⢣⣸⠁⠀⠙⠚⠁⠈⠛⠒⠛⠈⠓⠃⠙⠛⠓⠛⠘⠓⠀⠘⠓⠙⠚⠓⠛⠈⠛⠛⠀⠘⠓⠛⠊⠓⠛⠚⠓⠛⠘⠒⠓⠋⠈⠓⠒⠛⠂⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⣀⡀⢀⣀⠀⢀⣀⢀⣀⠀⡀⣀⠀⢀⡀⡏⢀⣀⣠⠀⣀⣀⢀⣀⠀⣿⢀⠀⣿⠀⣀⡀⣀⣀⢠⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⢿⡅⣾⢭⣗⡏⠉⣿⠈⡇⣿⢹⡇⣿⠉⡇⠀⣿⠉⣧⣿⠁⣏⢉⡇⣿⠉⡇⣿⢸⢭⠧⣿⢹⡏⣿⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⡷⡦⣴⣶⠄⢸⡗⡷⢶⢰⡶⣴⣲⢤⣶⡄⠐⡶⣶⣶⢶⡦⣶⢶⠶⡦⣿⢶⣤⣶⡦⣶⢶⣶⡀⢠⡖⣆⣶⢶⡄⠠⡟⢺⢲⣦⣔⣶⠀⢹⠶⣦⣖⣦⣴⠲⣿⡴⠂⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠲⠋⠙⠒⠂⠛⠷⠻⠾⠓⠟⠘⠇⠛⠞⠇⢀⣯⠺⠃⠛⠀⠙⠾⠃⠛⠾⠃⠛⠘⠒⠆⠛⠘⠃⠚⠸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠓⠛⠙⠚⠁⠘⠓⠛⠛⠛⠛⠘⠛⠈⠓⠃⠐⠛⠛⠊⠛⠓⠛⠚⠛⠃⠛⠊⠈⠓⠛⠛⠘⠚⠁⠈⠓⠋⠛⠛⠃⠀⠛⠚⠚⠋⠙⠚⠀⠙⠚⠁⠛⠓⠙⠒⠛⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⡀⠀⠀⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⢀⣶⡀⣇⣀⠀⡇⣀⣀⢀⣈⡇⠀⣀⣀⡀⣀⣀⢀⣀⡀⣟⣀⡀⣿⢀⣠⡀⣀⣀⣀⣀⠀⡀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⢀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⣿⠀⡏⢸⠃⡇⣿⠉⣏⢈⡇⠀⣿⠈⣷⣿⠉⣏⢈⡇⣏⠈⡇⣿⢾⠦⠷⣿⢸⡇⣻⠈⡁⠀⢸⡗⣿⢶⣴⣶⣦⠠⡖⣦⢶⡔⢶⠚⣦⣾⢰⡶⣐⣶⣿⠓⣟⣶⢲⣴⡶⣶⠀⢰⡖⡖⣶⣴⡳⣦⣶⣶⢼⡗⡿⢶⢤⠟⣶⡾⣶⣲⢔⣶⣴⡶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠙⠓⠃⠘⠃⠃⠛⠀⠙⠛⠃⠀⣿⠛⠁⠛⠀⠙⠛⠁⠛⠛⠁⠛⠈⠛⠃⠛⠘⠃⠛⠈⠃⠀⠈⠃⠙⠘⠊⠛⠋⠀⠙⠃⠋⠙⣻⠟⠁⠛⠘⠃⠙⠙⠈⠃⠛⠘⠚⠙⠓⠙⠀⠘⠓⠓⠙⠈⠛⠑⠙⠙⠈⠃⠙⠘⠺⢠⡼⠃⠉⠛⠘⠉⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⠀⠀⠀⢀⣤⡄⠀⠀⢀⣠⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⣿⣟⣠⣤⡀⠀⣠⣤⣄⡀⢸⣿⠠⣤⣠⣤⣄⡀⠀⠀⣿⡇⣴⡿⠋⠀⣠⣤⣤⡀⢤⣤⠀⣤⡄⢀⣤⢤⣤⣤⣄⣀⢸⣿⢀⣠⣤⣤⢰⣿⣇⣠⣤⢬⣽⡍⠀⢠⣿⣯⡤⢀⣠⣤⣄⡀⠀⠀⢀⣤⣤⣠⡤⠀⣠⣤⣄⡀⣼⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⣿⣿⠉⣿⡗⢿⣿⣴⣽⡿⢿⣿⠀⣿⡏⠈⣿⣷⠀⠀⣿⡿⢻⣷⡀⣾⣿⠀⢹⣿⠼⣿⣴⡿⣷⣼⡟⢠⣵⠶⣿⡇⢽⣿⠘⠿⣷⣬⣰⣿⣿⣿⡁⠀⣿⡇⠀⠈⣿⡇⠈⣿⡏⠀⢻⣿⢠⠠⣿⡏⠀⣿⡷⣿⣿⢶⣽⣿⢼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠿⠿⠀⠿⠷⠈⠻⠶⠶⠆⠸⠿⠀⣿⡷⠶⠟⠃⠀⠀⠿⠇⠀⠻⠷⠌⠻⠶⠾⠋⠀⠹⠿⠁⠹⠿⠁⠘⠿⠶⠻⠇⠸⠿⠈⠶⠾⠟⠈⠿⠇⠹⠿⠴⠿⠇⠀⠀⠹⠿⠖⠙⠿⠶⠟⠃⠀⠀⠙⠿⠖⣿⡇⠈⠻⠶⠶⠇⠘⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⢠⣤⣤⣄⢠⣤⠀⣠⣤⠀⣤⡄⣠⣤⣤⣀⢀⣤⣤⡤⠀⣠⣤⣤⣀⢠⣤⣠⣤⣄⣠⣤⣄⡀⣠⣤⣤⡀⠀⠀⣼⣿⣭⢀⣤⣤⣤⡀⢠⣤⣠⣤⣼⣿⣤⣤⣤⣤⣤⣄⡠⣭⣵⣼⣿⣤⢀⣠⣤⣤⡀⠀⠀⣠⣤⣤⢠⣤⠀⣠⣄⠀⣤⡤⣤⣤⣤⡀⠀⣠⣤⣄⣤⢄⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⣤⡶⠿⣿⠋⢿⣇⣿⣿⣸⡿⢸⣿⠶⠾⢿⠛⠿⣶⣤⣾⣿⠀⢸⣿⠹⣿⡇⢸⣿⠁⢹⣿⢿⣿⠶⠾⠿⠆⠀⢸⣿⠀⣿⡏⠀⢹⣿⢻⣿⠋⠁⢾⣿⠀⢸⣿⠁⢹⣿⠀⣿⡇⢸⣿⠀⣾⡿⠶⠿⠿⠀⠘⠻⢷⣦⡀⢿⣇⣿⣿⣰⡿⢠⣴⠶⢿⣿⢿⣿⠁⢸⣿⠐⠻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ 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⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢼⣿⣽⢶⣿⣿⡷⣿⠀⡏⣿⠠⢠⣿⢻⠀⡏⣿⠈⡇⣿⠈⠀⡇⣿⠀⡁⣿⣿⣿⣰⣬⣷⠿⠘⣿⢽⡇⣿⠶⣵⢠⡟⣼⣷⡿⣴⣿⠼⣿⢹⠀⣿⣾⡀⣷⢻⡿⣿⠀⠀⣷⣿⠈⡏⣿⠀⣿⢿⡿⣽⣴⣿⢿⡗⣿⠉⣿⣿⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣼⡀⣄⣤⣠⠀⡤⣠⣤⣤⢀⠀⠀⡀⣄⣤⣠⢀⡤⣯⣿⢠⠀⡍⣽⢬⣤⣠⣇⣿⢰⣤⣤⣠⢀⣿⢸⣀⣄⣤⣤⢤⣤⢀⡄⣤⠀⣤⢤⡀⣤⣤⣠⠀⠋⡿⣴⡇⣿⠀⠀⡀⣄⣤⣠⣤⠠⣿⢸⡀⣄⣤⣠⠀⡀⣤⣠⣟⣿⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡀⣠⢀⠀⠀⡄⣤⢀⠀⠀⠀⠀⣤⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢀⠀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢠⠀⠀⠀⠀⠀⠀⠀⠀⣤⣠⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠛⠉⠘⠛⠉⠃⡼⢠⠺⠘⠙⠃⠈⠙⠙⠑⠛⠈⠙⠓⠓⠘⠀⠙⠓⠙⠚⠘⠛⠃⠈⠙⠙⠃⠘⠛⠁⠟⣻⠙⠋⠃⠙⠀⠋⠛⠊⠘⠙⠃⠈⠀⠃⠈⠛⠃⠘⠛⠃⠛⠈⠛⠁⠛⠛⠁⠛⠙⠀⠛⠁⠛⣿⠀⠃⠛⠙⠀⠛⠃⠃⠘⠃⠓⠙⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡶⣴⣶⢔⣲⣶⡾⣶⠟⢤⢶⡿⡗⢼⣶⣶⣦⡳⣴⣶⡖⡖⢰⠀⣶⡶⣴⢲⣶⣟⠓⣿⣶⣐⡶⢰⣾⣦⠚⢶⡔⢶⣦⡖⠠⣦⣶⣴⢶⣿⡗⢸⠀⡁⠈⣻⡇⢸⣿⠷⠦⢾⣿⡇⠈⣏⡇⢈⣏⠉⣿⣷⠈⣿⠀⡇⢈⣏⠉⣿⡇⠃⢸⡏⠀⣿⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⣀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⡀⠀⣀⣀⣀⣀⡀⣠⢀⣿⡀⣀⣟⡀⣀⢀⣀⣀⡀⣀⣀⠀⡇⣈⢀⣀⣀⡇⠀⣀⣇⡀⣶⢀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⡀⠀⠀⡀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠓⠛⠛⠒⠙⠓⠛⠁⠚⠙⠀⠚⠙⠋⠚⠚⠛⠀⠃⠛⠛⠋⠓⠈⠁⠚⠘⠛⠛⠓⠈⠊⠛⠃⠛⠚⠛⠓⠛⠊⠛⠛⠐⠃⠓⠈⠛⠘⠛⠛⠛⠛⠓⠘⠁⠚⠙⠛⠓⠛⠙⠀⠀⠀⠀⠀⠀⠀⠀⠏⠸⠚⠃⠘⠛⠆⠒⠘⠛⠃⠾⠛⠃⠾⠙⠀⠛⠃⠺⣯⢀⠇⠞⠛⠇⠘⠟⠓⠾⠻⠷⠛⠂⠒⠙⠋⠲⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠂⡴⣿⠲⣴⣦⣖⣦⠶⢹⠀⣶⣔⣦⢲⢺⡟⠠⡄⢶⣶⣆⡖⢠⡀⣶⢶⣶⡦⣶⣤⢶⣿⡦⠶⢶⣶⡦⢶⣶⣶⡶⠐⡄⣶⢤⣲⣴⡶⢰⢶⡷⡗⢸⠄⣶⣴⡦⡷⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠋⠘⣿⡏⢹⣿⠧⢭⢸⣿⡇⠉⣿⡇⢉⣏⠁⣿⣧⠉⣿⠀⡇⠉⣿⡇⢹⣿⡇⠈⣿⠉⡏⣗⢭⣾⡅⢿⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⡄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⡀⢠⣀⣀⡀⣀⠀⣿⠀⢀⣿⠀⣀⢀⣀⣀⠀⣠⣀⢀⡏⡀⢀⠀⣀⡀⠀⣀⢀⣀⢀⠀⣀⢀⡀⣀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠂⠛⠒⠓⠈⠋⠓⠒⠘⠛⠓⠚⠛⠓⠊⠛⠓⠘⠀⠛⠛⠈⠛⠓⠚⠙⠓⠘⠀⠓⠘⠛⠓⠛⠙⠃⠓⠈⠛⠒⠛⠈⠁⠚⠙⠀⠁⣸⢣⠘⠛⠓⠘⠙⠓⠓⠘⠋⠓⠊⠘⠛⠓⠘⠀⠓⠚⠛⠓⠈⠚⠙⠀⡟⣀⠀⠀⠀⠀⠀⠄⠠⠤⠀⠠⠄⠄⠤⠀⠄⠁⠤⠄⠀⠤⠢⠀⠄⠁⠤⠀⠀⠄⠠⠀⠤⠀⠤⠄⠠⠀⠀ ⢸⠀⠀⠀⠀⠖⣶⣦⣖⣤⢶⡗⢤⣷⣶⡶⢰⣶⡦⢴⣶⡶⠰⠀⣿⡖⢦⣶⡴⣷⢴⡶⣰⠀⡗⣾⣷⡇⢺⡴⡦⣖⢦⡶⠶⡖⢀⡆⣲⢴⠺⣲⣖⣴⢶⣦⡶⢴⣷⣶⣶⣴⣦⡖⣤⣷⣶⡶⢰⠀⡶⢴⣶⡆⣴⣲⡔⢶⣖⢲⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⡀⢀⠀⠀⠀⠈⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠁⢀⠀⠁⠀⠁⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠁⠈⠀⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠛⠉⠂⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⡓⣟⢿⡻⣿⠸⠀⠀⠀⠀⠀⠁⠉⠊⠀⠀⠀⠀⠂⠛⠉⠉⠉⠉⠉⠏⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠋⠛⠛⠛⠛⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠟⠻⠛⠙⠉⠛⠛⠛⠛⠟⠿⠿⠿⠿⠿⠛⠛⠛⠛⠛⠛⠒⠒⠀⠀⠤⡳⣿⢿⣿⢿⠁⠉⠉⠉⠈⠉⠋⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⡀⣀⣯⣶⢤⣀⢀⣀⣄⡶⣧⣿⣾⣴⢀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣭⣿⣿⣿⣿⣿⣿⣿⣿⣭⢉⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠙⠉⠉⠉⣉⣍⣿⣿⣿⣿⣿⣿⣿⣿⣽⣬⣠⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣃⣴⣄⣀⠀⠀⠀⣀⣗⣾⣶⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠃⢠⠀⠀⠀⠀⠀⠀⠀⡀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠟⣿⣿⣿⣿⣿⣷⣾⣿⣾⣽⣾⣵⣾⣼⣮⣔⣲⣦⣌⢦⣆⣒⢢⣤⡖⣄⡤⢢⣦⡖⣙⣴⡳⣦⣳⣍⣽⣧⣶⣻⣻⣞⠷⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⣆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠸⠀⠀⠀⠀⠆⢿⠙⠀⠀⠀⠀⠀⠋⠟⣭⢷⣭⣞⢯⣬⡶⣍⡲⣌⠖⣂⣀⠤⢠⡀⠀⠀⡀⠀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⠀⣀⠤⠢⡀⡐⠥⠌⠴⡌⠰⣇⢄⠙⠀⠀⠀⠀⠀⠃⡿⢸⠀⠀⠀⠀⠃⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠃⠉⠉⠉⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⣿⣿⠹⠀⠀⠀⠞⣸⠵⣡⡨⢒⠥⢂⡀⣀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠄⠀⠀⠀⡒⠀⠀⠀⡀⢳⠀⠀⠀⠁⣿⣿⢸⠀⠀⠀⠀⡇⠀⠀⠃⠚⠒⠙⠉⠉⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⡇⣀⠀⠀⡀⣀⢀⠦⢹⠀⠀⠀⠀⠀⣷⣿⣿⠸⠀⡟⢦⣀⡐⠌⡁⠄⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠀⠀⡟⣿⣿⢸⠀⠀⠀⠀⡣⠁⠀⠀⢸⠀⡀⠀⠀⡀⣀⣇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠁⢿⢿⢿⡈⢸⠀⠀⠀⠀⠉⠛⡟⠿⠈⠀⠀⠀⡄⣿⣿⣿⠸⢸⠤⡀⢀⠈⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⡟⣿⣿⣿⢀⠀⠀⠀⠀⡟⣿⣿⢹⢯⠀⠀⠀⠀⠁⠛⠿⣿⠹⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⢸⢸⠀⠀⠀⠀⣀⣀⣀⣆⢨⠀⠀⠀⠀⣧⣿⣿⣿⢽⡀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢰⡟⣿⣿⣿⢠⠀⠀⠀⠀⠀⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⡀⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⡇⣿⣿⣝⢱⢸⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⣦⣿⣿⣿⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⣿⣿⢻⣤⡇⠀⠀⠀⠀⠀⠀⠀⠀⡅⠸⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⠸⡏⠉⠉⠉⠉⠉⠉⠉⠉⡉⢻⠀⠀⠀⠀⠀⣄⣷⣿⣿⢿⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⡿⣿⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⢳⡆⢹⠈⠈⠉⠉⠉⠉⠉⠉⣟⠘⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⡀⣷⢿⢿⠤⣒⣒⢒⠒⠓⡚⠖⠤⣤⣀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⢿⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠟⡿⣿⣿⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⡿⠰⠤⠤⠤⠠⡃⣖⣤⡤⣠⢀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣸⠀⠀⠉⠛⠙⡨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⣿⣿⣿⣿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⡿⣿⣿⣿⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣼⠀⠀⠈⠛⠿⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢸⠛⡟⠷⣭⣛⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣶⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣿⣿⣿⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⠂⠿⡽⣟⡻⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠠⣢⣻⣞⢽⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣷⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣾⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠨⠀⠇⡳⣧⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⡷⣽⣦⢵⡿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⢿⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠟⠿⡿⣛⢙⠛⠀⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣻⡍⣽⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣿⣿⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠗⠛⠟⠿⠿⠿⣿⣶⣶⣶⣶⣷⣿⣿⣙⣽⣛⣛⣻⣛⣶⣶⣶⣶⣶⣶⠷⠿⠺⠐⠃⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣦⣶⣶⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠲⣟⠺⠀⠐⠀⡦⣐⣵⣭⣶⡲⣐⣤⣉⠟⣻⣿⣽⣛⣟⠻⠐⠈⠉⠋⠛⠔⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⢦⠳⠛⠉⠉⠉⠉⠉⠋⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠀⠁⠉⠀⠉⠀⠁⠈⠁⠉⠉⠀⠁⠉⠀⠁⠉⠈⠉⠀⠁⠉⠉⠀⠀⠉⠈⠀⠉⠉⣿⢸⠀⠁⠉⠉⠈⠀⠉⠈⠁⠉⠁⠉⠀⠀⠀⠉⠉⠉⠀⠉⠉⠉⠈⠀⠟⣼⢠⠉⠈⠁⠈⠉⠈⠁⠉⠀⠉⠈⠁⠈⠉⠈⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣥⣽⠀⡇⢾⠀⣿⠈⡇⢹⡛⣋⣟⢿⡟⣿⠓⣿⣠⣧⣿⠟⣿⣀⣧⢻⠀⣿⢹⡿⣸⣀⣿⢸⠀⡏⣙⣟⣿⠙⣿⢰⡇⣿⡀⣷⢸⠀⠁⣻⣛⣯⢻⣠⣋⣾⢠⡏⣾⢿⠀⣿⢸⡇⣽⣏⣿⡇⣿⠀⣿⢸⡇⣽⣏⣿⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣋⠙⡦⣿⠾⣷⢻⡷⣿⣦⢻⢟⣶⣇⣿⣤⣷⠻⡷⣿⡤⣷⠛⡾⣰⠿⣷⣾⣦⢿⠞⣷⢸⠀⡆⣷⢻⣶⢠⣷⢻⡷⣿⠓⡿⢿⠘⡀⣶⣻⡾⣰⡿⣿⠿⠻⣿⢀⣷⢹⣿⢸⣦⣿⣛⠺⡄⣷⠿⣷⢼⣦⣿⣛⠺⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⡗⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠀⡤⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠉⠈⠉⠈⠁⠉⠀⠉⠉⠈⠁⠈⠁⠉⠉⠉⠀⠁⠉⠀⠉⠈⠀⠁⠉⠉⠁⠉⠈⠀⠉⠈⠀⠀⠉⠉⡏⣿⠁⠉⠁⠉⠉⠈⠀⠉⠈⠁⠉⠀⠀⠉⠉⠉⠉⠀⠁⠉⠉⠈⠀⠃⣿⣤⠀⠀⠉⠈⠁⠈⠁⠉⠀⠁⠉⠀⠁⠉⠀⠀⠁⠉⠈⠁⠉⠉⠁⠉⠉⠉⠈⠁⠉⠉⠉⠀⠉⠈⠀⠀⠃⡿⣤⠀⠉⠉⠈⠀⠉⠈⠀⠁⠉⠀ ⢸⠀⠀⣿⢸⣄⣷⡟⣿⡾⣿⣛⢈⡏⢹⡇⣽⣋⣾⠁⣿⣷⠏⣿⢻⠇⣿⣀⣇⢻⣄⢿⠙⣿⢸⠀⠇⣿⣀⣇⣿⡇⣿⡃⣛⣛⣿⠸⣿⢸⡇⣿⠀⠀⣿⣼⣄⣿⠛⣿⣠⣇⢿⠁⣿⣷⠸⠀⠀⣿⢸⡇⢼⡇⣿⠀⣿⣷⠘⡿⣿⠸⠀⡄⣭⢠⣷⣻⣙⡇⣿⣠⣇⢿⡏⣿⣀⣷⠻⣿⢸⠀⠀⡿⣧⠹⡃⣛⣛⣿⠸⣿⢸⠀⡇⣿⠀ ⠀⠀⠀⣿⢹⠞⣾⣇⣿⢆⠳⣾⣴⡏⣸⣄⣷⣛⠿⡗⣸⡆⣿⡀⣷⣘⣶⠿⡾⣠⠀⣟⣾⣿⢸⠀⡄⣶⠿⡶⣿⡇⣿⣄⣷⠟⣶⣀⣦⢿⡷⣿⠀⠀⣶⢸⠀⣾⣸⣦⠻⡾⣶⡟⣰⡄⣾⠘⠀⣿⢸⡇⢿⡇⣿⡇⣾⡇⢿⣼⡇⣿⠀⠃⣿⢸⠗⡟⣴⣧⣿⠷⡾⣵⣇⣿⠋⡿⣤⣿⢸⠀⡟⣼⡄⣶⣼⣶⠟⣶⢠⣿⣼⣤⣧⣿⠀ ⠈⠀⠀⡀⢁⠀⠀⡀⡀⢀⠈⠁⠈⣀⣀⠀⠀⠀⠉⠀⠁⠈⠀⠈⠀⠈⠀⠁⠉⠉⣉⣀⠀⣄⢁⠈⠉⠀⠀⠀⠀⠀⡀⠉⠀⠁⠀⠀⠀⠀⡀⡀⠉⠉⠀⠀⠀⠀⠀⠈⠀⠉⠈⠁⠀⠀⠈⠁⠉⣀⣀⣀⣀⠀⢀⢀⢀⡀⡀⣀⡀⣀⠁⡈⣨⢀⠁⠀⠁⡀⣠⢀⠀⠉⡀⢉⠀⠁⠈⣀⢁⠁⠉⠀⠀⠀⠁⠈⠀⠉⠀⢀⢀⠁⠀⣁⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣀⣤⣤⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣀ ⢸⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿ ⢸⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠃⠀⠀⠀⠀⠀⣠⡴⠟⠛⠋⠛⠻⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣼⡿⠛⠋⠙⠛⠿⣦⣄⠀⠀⠀⠀⠀⠀ ⠇⠀⠀⠀⠀⢠⣾⠋⠀⣴⣶⣶⠄⠀⠈⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠋⠀⢀⣴⣶⣶⡄⠈⠹⣷⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣹⠃⠀⠀⠀⠓⠀⠀⠀⠀⢘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠙⠿⠿⠃⠀⠀⠈⣿⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠽⠷⠄⠀⠀⣾⣷⣀⣐⣫⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣤⣤⣤⣄⡀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⢳⣄⠀⠀⠠⣾⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠛⠶⠶⠉⠿⠙⠋⠁⠀⠀⠀⠀⠀⠀⣀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠈⠁⢒⠤⠿⠇⣀⣀⠂⠛⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣶⣶⣶⣶⣾⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢀⣀⣀⠀⠀⢀⡀⠀⠀⢀⡀⠀⣀⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⠿⠿⠟⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡦⠀⠀ ⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⠛⠀⢿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢻⣛⠛⠁⠘⠛⠙⠙⠉⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡄⠀⠈⣍⣛⠛⢛⣉⣩⣵⣾⣿⣿⣿⣿⣿⣿⣾⣷⣾⣾⣶⣶⣶⣶⣤⣬⣩⣍⣩⣩⣭⡤⠖⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣷⣀⠈⠑⠛⠛⠛⠛⠛⠛⠿⠟⠿⠛⠛⠛⠛⠛⠛⠛⠻⠟⠛⠿⠟⠛⠛⢛⡋⠉⣉⣁⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣷⣿⣿⣿⣿⣿⣷⣿⣶⣶⣶⣶⣾⣿⣷⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀ ⣿⣆⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣷⡄⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⢀ ⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿ ⢿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠈⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⡀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠙⠿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿ ⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙