Gothic ASCII Art is a dark, mysterious, and stylish art design made using keyboard symbols to form of digital creativity that lets you share your gothic vibes through plain text. Here is the list of gothic ascii art to easily copy into the clipboard and paste them on social media platforms.
Find the unique gothic ascii art you want to like, then tap on the copy button and use this art on Facebook, Instagram, WhatsApp, Twitter, & Discord to decorate messages, create stylish bios, and posts.
Gothic ASCII Art
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣆⠀⠀⠀⢀⡠⠴⢾⡷⠤⢀⡀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣀⢸⣿⡄⣢⠞⠁⠀⠀⢸⡇⠀⠀⠉⢢⡔⢰⣾⡇⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠿⣿⡟⣼⠏⠀⠀⢀⠆⣾⣇⢠⠀⠀⠀⢻⣎⣿⣿⠏⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡤⣹⣿⣿⠀⢀⣠⣿⣾⣿⣿⣾⣷⣄⠀⠈⣿⣸⡉⢄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⢐⠘⣿⣿⠀⠀⢹⡿⣿⣿⣿⡿⢿⠋⠀⢠⣿⡿⠁⠉⠀⠀⠀⠀⠀
⠀⠀⢆⣤⡔⠁⣷⡜⣿⣧⠀⢠⣷⣤⡏⣿⣤⣾⠀⢀⣾⡿⢱⣷⠀⣠⢤⠪⠀⠀
⠀⠀⠀⠀⠸⡆⣿⡇⢨⡻⣷⡄⠘⢹⣿⡿⡏⠁⢴⣿⢟⣡⢸⣿⣰⠅⠀⠀⠀⠀
⠀⣠⣴⣼⣷⣷⣿⣷⣾⣷⡌⢻⠀⠀⢸⡇⠁⢠⡟⢁⣸⣿⣸⣿⣿⣶⣤⣦⣀⠀
⠀⠉⠉⣿⣿⣿⣿⣿⣿⣿⣷⢸⡇⠀⢸⡇⢠⢸⣷⣾⣿⣿⣿⣿⣿⣿⡿⠉⠣⠀
⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣄⢸⡇⣼⣾⣿⣿⣿⣿⣿⣿⣿⢇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⠜⢿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡝⠂⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠚⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠏⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠿⣛⢿⡿⣛⠿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⠛⠛⠳⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡇⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡟⠈⠛⢦⣄⠀⠀⠀⠀⠀⠈⢻⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡟⠀⠀⠀⠀⣽⣷⡀⠀⣶⡄⠀⢨⣿⡀⠀⠀⠀⠀⠀
⠀⠀⣀⣤⣤⣾⣿⣿⣿⠟⠀⠀⠀⠀⣸⣿⣿⣇⣠⣿⣿⣆⣾⣿⣷⣤⣤⣀⠀⠀
⠀⣼⠋⠀⣸⣿⣿⣿⠏⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠙⣧⠀
⠀⢿⡀⢀⣿⣿⣿⠏⠀⠀⣀⣀⢠⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⠀⢀⡿⠀
⠀⠀⠙⢺⣿⣿⣿⣷⡄⢸⣏⣹⠆⢉⣿⣿⣿⡇⠰⠆⢸⣿⣿⣿⣿⣿⡗⠋⠀⠀
⠀⠀⠀⢸⣿⣿⣿⣿⠁⠀⠉⢉⣴⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀
⠀⠀⠀⠘⣿⣿⣿⡟⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀
⠀⠀⠀⠀⠹⣿⣿⣇⣴⣿⣿⠋⠙⠛⠛⠛⠛⠋⠙⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣦⡈⠛⠿⠿⠛⢁⣴⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⣿⣿⣿⣿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⡏⢹⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣟⣻⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠀⣄⠀⠀⢸⡇⠀⠀⣠⠀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠐⠲⢯⣉⡭⣭⠿⠶⢯⡽⠶⠿⣭⢭⣉⡽⠖⠒⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠁⠀⠀⢸⡇⠀⠀⠈⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡅⢨⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠟⠻⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⡞⢻⠟⢶⣾⣿⣵⠶⠶⠶⠶⣮⣿⣷⣶⢻⡟⢳⣄⠀⠀⠀⠀⠀
⠀⠀⠀⣠⠞⠋⢠⣾⡿⠛⠉⠀⢀⠀⢠⡄⠀⡀⠀⠉⠛⢿⣷⡄⠙⠳⣄⠀⠀⠀
⠀⢰⡿⣅⣄⣤⡟⠁⠀⠀⣀⣨⠟⣫⣭⣭⣟⠿⣅⡀⠀⠀⠈⢿⣤⡠⣨⢷⡆⠀
⠀⢸⡇⠪⣿⡟⠀⠀⠀⠀⢻⢣⣾⡇⣙⣋⢸⣷⡜⡏⠀⠀⠀⠀⢻⣟⠕⢸⡇⠀
⠀⣸⡇⠀⣿⠀⠀⠀⠀⠸⢿⢸⣭⡄⢿⡿⢠⣭⡇⡿⠇⠀⠀⠀⠀⣿⠀⢸⡇⠀
⣾⣯⣤⣤⣿⢀⡆⠀⠀⠀⢾⣯⡻⣧⣶⣦⣸⢟⣽⡷⠀⠀⠀⢰⡀⣿⣄⣀⣙⣷
⠙⢳⡄⠀⣿⣾⠏⠀⠤⢤⣀⠀⢿⠲⢮⡵⠖⡿⠀⣀⡤⠤⠀⠹⣷⣿⠀⢠⡞⠋
⣤⠾⠃⢸⣿⠁⣾⣿⣿⣿⣶⣦⣤⣄⣬⣥⣠⣤⣴⣶⣿⣿⣿⣷⠈⣿⡇⠘⠷⣤
⠿⣟⣛⢻⣿⠀⣿⣿⣿⣿⣿⣿⣿⠟⠁⠈⠻⣿⣿⣿⣿⣿⣿⣿⠀⣿⡟⣛⣻⠿
⠀⠀⢻⣾⠃⣀⠛⠿⣿⠟⠛⠛⠋⢼⣾⣷⡣⠙⠛⠛⢿⣿⠿⠛⢀⠘⣷⡏⠀⠀
⠀⠀⢸⡟⢷⣬⡛⠋⣀⣒⣶⣶⠀⣾⣿⣿⣷⠀⣶⣶⣒⣀⠙⢛⣥⡾⢻⡇⠀⠀
⠀⢰⣿⣶⣖⣛⣛⣟⣿⣿⡄⠁⠄⡈⠋⠙⠁⢠⠈⢀⣿⣿⣿⣛⣛⣲⣶⣿⡆⠀
⠀⠈⠻⣄⠀⠀⠀⢀⣿⣏⡟⠲⠦⡧⢤⡤⢼⠴⠖⢻⣹⣯⡀⠀⠀⠀⣠⠟⠁⠀
⠀⠀⠀⠈⠻⣦⡴⠋⢹⡏⠟⡶⡤⣇⣠⣄⣸⢤⢶⠻⢹⡏⠻⢦⣴⠟⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⡀⠁⠃⠀⠀⠘⠀⢈⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⢷⣦⣴⡾⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡤⠶⠶⠶⠶⠶⠶⠶⠶⢤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣀⣴⠾⠀⠈⣀⣠⣤⣤⣴⡶⢶⣦⣤⣤⣄⣀⠉⠛⠷⣦⣀⠀⠀⠀⠀
⠀⢀⣤⠞⢋⣠⡴⠞⠛⣩⠿⣿⣅⡀⠀⠀⢀⣨⣿⠿⣍⠛⠳⢦⣄⡙⠳⣤⡀⠀
⣰⠟⣡⡶⠛⠁⠀⠀⣼⠋⠀⢻⡌⠛⣶⣶⠛⢁⡟⠀⠙⣧⠀⠀⠈⠛⢶⣌⠻⣆
⣠⡾⠋⠀⠀⠀⠀⢰⡏⠀⠀⣘⣷⠟⠉⠉⠻⣾⣃⠀⠀⢹⡆⠀⠀⠀⠀⠙⢷⣄
⠹⣦⡀⠀⠀⠀⠀⢸⣇⣴⠞⠋⢹⣇⠀⠀⣸⡏⠙⠳⣦⣸⡇⠀⠀⠀⠀⢀⣴⠏
⠀⠈⠛⢦⣄⠀⠀⠀⢿⡟⠛⠛⠛⢿⡛⢛⡿⠛⠛⠛⢻⡿⠀⠀⠀⣠⡴⠛⠁⠀
⠀⠀⠀⠀⠉⠻⢶⣤⣈⠻⣦⡀⠀⠘⣧⣼⠃⠀⢀⣴⠟⡁⠀⡶⠟⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠷⠶⠿⠿⠶⠾⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠤⠴⠶⠤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⡆⢠⣶⣶⡀⠢⡀⠀⠀⢀⡴⠀⣰⣶⡦⢰⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠘⡎⠻⣿⣿⣷⡜⠄⣀⢊⣴⣿⣿⣿⠃⠸⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⠒⠝⠛⠃⣰⣿⣷⠙⠛⠋⠕⠁⡈⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⢤⢴⠢⡀⡻⠋⠛⢁⡄⢢⢤⠔⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠘⠠⢆⣌⣸⣀⡦⣶⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢄⠀⠘⠬⠜⠢⠖⢁⠄⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢇⡀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠟⠁⠘⠻⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣷⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⣿⢫⡶⠒⠒⠲⢤⠀⢀⡤⠖⠒⠒⢶⡝⣿⣿⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡎⢿⣿⠘⡇⠀⢶⠆⠀⡇⢸⠀⠰⣶⠀⣸⠁⣿⡿⢳⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠹⣜⣿⠀⠘⠦⣤⡤⠞⠁⠈⠳⢤⣤⠴⠃⠀⣿⣧⠏⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⠻⣷⡀⠀⠀⠀⢠⣤⣠⣄⠀⠀⠀⢀⣼⡟⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠐⢾⠖⢿⣿⣦⡀⠀⠘⠛⠟⠋⠀⢀⣴⣿⡿⠲⡗⠂⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⠀⠈⢿⣿⣿⣶⣤⣀⣀⣤⣶⣿⣿⡿⠁⠀⠃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⣀⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⡠⡔⡾⠛⣳⠀⠀⠀⠀⣞⠛⢷⢢⢄⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣴⠋⢀⣜⣭⣉⠀⢀⠎⠱⡀⠀⣉⣭⣣⡀⠙⣦⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡞⢀⠉⡟⣌⠓⠬⠇⠸⡀⢀⠇⠸⠥⠚⣡⢻⠉⡀⢳⡀⠀⠀⠀⠀
⠀⠀⠀⠀⢸⠰⠊⠀⠣⡼⠀⠀⠀⠀⠃⠸⠀⠀⠀⠀⢧⠜⠀⠑⠆⡇⠀⠀⠀⠀
⠀⠀⠀⠀⢸⠀⠀⢠⢤⡮⠭⡦⢤⡀⠀⠀⢀⡤⢴⠩⢵⡤⡄⠀⠀⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠘⡄⢰⢻⠋⠀⠀⠈⡖⢇⠀⠀⡸⢳⠁⠀⠀⠙⡟⡆⢠⠃⠀⠀⠀⠀
⠀⠀⠀⠀⢰⠃⣞⡇⠀⠀⠀⠀⡟⢪⢀⡀⡕⢻⠀⠀⠀⠀⢸⣱⠘⡆⠀⠀⠀⠀
⠀⠀⠀⠀⣾⠀⠈⣟⣢⡤⢤⣞⠗⢁⡞⢳⡈⠺⣳⡤⢤⣔⣻⠁⠀⣷⠀⠀⠀⠀
⠀⠀⠀⠀⠸⡄⠀⠀⠀⠉⢁⠄⠀⠘⠤⠤⠃⠀⠠⡈⠉⠀⠀⠀⢀⠇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠓⠒⠒⠲⡌⠒⠒⠒⢦⡰⠒⠒⠒⢡⠖⠒⠒⠚⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢀⣀⣀⣈⣁⣀⣀⡀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⣀⣀⣀⣀⣀⣀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠉⠉⠉⠉⠉⠉⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣾⣿⠟⠉⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡇⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⡇⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⣀⣴⣿⡿⠉⣿⣧⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣠⣾⣿⣶⣶⣶⣶⣶⣿⠿⠛⠁⠀⠀⠘⠿⣿⣿⣿⣶⣶⣄⠀⠀⠀⠀
⠀⠀⠀⢸⣿⡏⠉⣿⣿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠉⢹⣿⡇⠀⠀⠀
⠀⠀⠀⠀⠻⠿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠿⠟⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣦⣀⠀⠀⠀⠀⣀⣴⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⣠⣤⣤⣤⣤⣤⣼⣿⣿⣷⣦⣴⣾⣿⣿⣧⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀
⠀⣠⣾⡿⠟⠛⢿⣿⡟⠛⠛⠛⠃⠈⣿⣿⠁⠘⠛⠛⠛⢛⣿⡿⠛⠻⢿⣷⣄⠀
⣰⣿⠏⠀⠀⠀⠀⠻⣿⣦⠀⠀⢰⣶⣿⣿⣶⡆⠀⠀⣰⣿⠟⠀⠀⠀⠀⠹⣿⣆
⣿⣿⠀⠀⠀⠀⠀⠀⠙⢿⣷⡀⠈⠉⣿⣿⠉⠁⢀⣾⡿⠋⠀⠀⠀⠀⠀⠀⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣾⣿⣿⣿⣿⣷⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀
⠀⠀⠀⢠⣾⣿⣿⡈⠛⠛⠉⠀⢀⣀⣀⣀⣀⡀⠀⠉⠛⠛⢁⣿⣿⣷⣄⠀⠀⠀
⠀⠀⣴⣿⣿⣿⠟⠁⠀⠀⠀⠛⢿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠈⠻⣿⣿⣿⣦⠀⠀
⠀⣼⣿⣿⣿⠋⠀⣰⡆⠀⢲⣄⠀⠈⠻⠟⠁⠀⣠⡔⠀⢰⣆⠀⠙⣿⣿⣿⣧⠀
⢰⣿⣿⣿⠃⠀⣼⣿⣿⡀⠈⡿⠟⠀⠀⡀⠀⠻⢿⠁⢀⣾⣿⣧⠀⠘⣿⣿⣿⡆
⣾⣿⣿⡟⠀⢰⣿⣿⡿⠇⠀⠀⣠⣴⣿⣿⣦⣄⠀⠀⠸⢿⣿⣿⡆⠀⢻⣿⣿⣷
⣿⣿⣿⡇⠀⠸⠟⠉⠀⣠⡄⠀⢻⣿⣿⣿⣿⡟⠀⢠⣄⠀⠉⠻⠇⠀⢸⣿⣿⣿
⢿⣿⣿⠇⠀⠀⠀⠐⠛⠛⠛⠀⠈⠛⠛⠛⠛⠁⠀⠚⠛⠛⠂⠀⠀⠀⠸⣿⣿⡿
⠸⣯⣤⣤⡄⠀⢠⣤⣤⣤⣤⣄⠀⠠⣤⣤⠄⠀⣠⣤⣤⣤⣤⡄⠀⢠⣤⣤⣽⠇
⠀⢻⣿⣿⣿⣄⠀⠹⣿⣿⣿⣿⡄⠀⢻⡟⠀⢠⣿⣿⣿⣿⠏⠀⣠⣿⣿⣿⡟⠀
⠀⠀⠻⣿⣿⣿⣦⡀⠈⠙⠿⣿⣷⠀⠈⠃⠀⣾⣿⠿⠋⠁⢀⣴⣿⣿⣿⠟⠀⠀
⠀⠀⠀⠙⢿⣿⣿⣿⣷⣤⣀⠀⠈⠁⠀⠀⠈⠁⠀⣀⣤⣾⣿⣿⣿⡿⠋⠀⠀⠀
⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣶⡄⢠⣶⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⢿⣿⣷⣾⣿⡿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠛⠛⠛⠛⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⡀⢀⠀⣀⢀⡀⣀⠀⡀⢀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣸⢠⡶⠷⠾⠶⠿⠾⠷⠿⠶⠷⠾⢶⡄⣇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⢸⡇⠤⠤⢤⣄⠀⠀⣠⡤⠤⠤⢸⡇⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡿⢾⡧⡶⡶⢶⣌⠁⠈⣡⣶⢶⢶⢼⡷⢿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡇⢾⡇⠙⠿⠿⠟⢸⠀⠻⠿⡿⠋⢸⡷⢸⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣷⠶⢷⡀⠀⠀⠀⠘⠓⠀⠀⠃⢀⡾⠶⣾⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⠀⠈⠳⣄⠀⠈⠉⠉⠉⠀⣠⡞⠁⠀⡿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠈⢹⣗⣶⣶⣲⡏⠁⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣿⣠⡴⠶⠶⣾⣿⠿⠿⣿⣷⠶⠶⢦⣄⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣰⠟⡏⠀⢀⠈⠁⠹⡄⢠⠏⠘⢧⡀⠀⢹⡿⣆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢰⣇⣀⡇⢠⣾⣤⡟⢳⡿⢿⡞⢻⣬⣷⡄⢸⣇⣸⡆⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢿⣽⣿⠏⠀⠀⣧⠼⠗⠺⠧⣼⠀⠀⠹⣿⣯⡿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠸⣧⣧⣤⡄⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⠇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⢰⡆⠀⠀⢸⡇⠀⠀⢰⡆⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⡀⠀⠀⠈⣷⡀⠀⠈⣧⠀⠀⢸⡇⠀⠀⣼⠁⠀⠀⣾⠁⠀⠀⢀⡀⠀⠀
⠀⠀⠈⢷⣄⠀⠀⠘⣧⠀⠀⠛⢀⣀⣈⣁⣀⡀⠛⠀⠀⣼⠃⠀⠀⢠⡾⠁⠀⠀
⠀⠀⠀⠀⠻⠆⠀⣀⣤⣶⠾⠛⢛⣉⣉⣉⣉⡛⠛⢷⣶⣤⣀⠀⠰⠟⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣴⢾⣿⠟⢁⣴⡾⠟⢻⣿⣿⡟⠿⣷⣦⡙⢿⣿⡷⣦⡀⠀⠀⠀⠀
⠀⠀⢀⡴⠛⢁⡿⠃⣰⡿⠋⠀⠀⣾⡏⢹⣷⠀⠘⢿⣿⣎⢻⣿⡈⠛⢦⡀⠀⠀
⢀⣴⠏⠀⠀⣼⠇⢰⣿⣷⠶⠶⣾⡿⠶⠶⢿⣷⠶⠾⣿⣿⡎⣿⣧⠀⠀⠹⣦⡀
⣾⡁⠀⠀⠀⣿⠀⢸⣿⠻⢿⣦⣿⠃⠀⠀⠘⣿⣴⡿⢿⣿⡇⣿⣿⠀⠀⠀⢈⣿
⠈⠻⣄⠀⠀⢻⡆⠸⣿⡀⠀⣿⡿⢿⣦⣴⡿⢿⣿⢀⣿⣿⢇⣿⡟⠀⠀⣰⠟⠁
⠀⠀⠈⠳⣤⡈⣷⡀⠹⣷⣼⣿⣶⡿⠛⠛⢿⣶⣿⣿⣿⢏⣼⣿⢁⣤⠞⠁⠀⠀
⠀⠀⠀⠀⠈⠻⢾⣿⣦⡈⠻⢿⣯⣤⣄⣠⣤⣾⡿⠟⣡⣾⣿⡷⠟⠁⠀⠀⠀⠀
⠀⠀⠀⠀⣰⠆⠀⠉⠛⠿⢶⣤⣬⣉⣉⣉⣉⣥⣤⡾⠿⠛⠉⠀⠰⣦⠀⠀⠀⠀
⠀⠀⢀⣼⠋⠀⠀⢠⡟⠀⠀⣤⠈⠉⢉⡉⠉⠁⣤⠀⠀⢻⡄⠀⠀⠘⢷⡀⠀⠀
⠀⠀⠈⠁⠀⠀⢀⡿⠁⠀⢀⡟⠀⠀⢸⡇⠀⠀⢻⡀⠀⠀⢿⡀⠀⠀⠈⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠸⠇⠀⠀⢸⡇⠀⠀⠸⠇⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣯⣽⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⡿⠛⠛⠛⠛⢿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⣾⡿⢋⣾⡿⠁⠀⠀⠀⠀⠀⢻⣿⡍⠻⣿⣆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣰⣿⠏⢠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣆⠘⢿⣧⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⣿⡏⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣧⠘⣿⣇⠀⠀⠀⠀
⠀⠀⠀⠀⢸⣿⣴⡿⠃⠀⢀⡤⠖⡿⢛⠛⢻⡗⠦⣀⠀⠈⢿⣷⣿⣿⠀⠀⠀⠀
⠀⠀⠀⠀⢸⣿⡿⠁⠀⠐⢯⣀⠸⡇⢿⣷⢆⡇⢀⡼⠃⠀⠀⢻⣿⣿⠀⠀⠀⠀
⠀⠀⠀⢠⣾⣿⣇⠀⠀⠀⠀⠈⠓⠻⠶⠶⠿⠒⠉⠀⠀⠀⠀⢠⣿⣿⣆⠀⠀⠀
⠀⠀⣰⣿⠏⠘⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠟⠙⢿⣧⠀⠀
⠀⠴⠿⠿⠿⠿⠿⢿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⡿⠿⠿⠿⠿⠿⠷⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣷⣶⣦⣤⣤⣤⣶⣾⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢠⣤⣀⠀⠀⠀⣆⠀⠀⠀⠀⣰⠀⠀⠀⣀⣤⡄⠀⠀⠀⠀⠀⠀
⠀⠀⣀⣴⣾⣿⢻⡿⠛⠑⠀⠀⠿⣷⡄⢠⣾⠿⠀⠀⠊⠛⢿⡟⣿⣷⣦⣄⠀⠀
⠀⣼⣫⣿⣥⡙⣻⣧⣤⣠⠴⣤⣌⢻⣧⣸⡟⣣⣤⠦⣄⣤⣼⣟⢋⣬⣿⣝⣧⡀
⠸⠉⠙⠈⢸⠟⣹⣷⣽⡿⡗⢸⣿⠿⠘⠃⠿⣿⡇⠺⢿⣿⣾⣏⠻⡇⠁⠋⠉⠇
⠀⠀⠀⠀⠈⠀⢹⣼⠯⣿⣷⣿⣿⣆⠀⠀⣰⣿⣿⣾⣿⠽⣧⡏⠀⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠁⢸⡇⡏⠛⢈⣿⣇⢰⣿⡁⠛⢹⢸⡇⠈⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠁⠀⠸⠝⢿⡿⠫⠇⠀⠈⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠂⠄⠀⠀⠀⠀⠠⠐⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⢀⣀⣀⡀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠋⢹⣿⣿⣿⣿⡟⠙⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠐⠚⠑⡄⠀⢀⠀⠀⢺⣿⣿⣿⣿⡿⠀⠀⡀⠀⢀⠊⠓⠂⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠑⠊⡻⠀⠀⠈⠿⣿⣿⠿⠁⠀⠀⢿⠁⠊⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡤⠀⣀⣾⣷⣀⠀⢤⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀
⠀⠀⡴⢟⠙⣿⠠⠒⢶⣄⠀⢠⣤⣀⣼⣧⣀⣤⡤⠀⣠⡶⠒⠄⣿⠋⡻⢆⠀⠀
⠀⠀⠁⡸⠀⠛⠤⠤⠚⠻⠓⠙⢿⠛⣻⣟⠛⡿⠋⠚⠟⠓⠤⠤⠛⠀⢇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢚⣠⣿⣿⣄⡑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣲⠒⠺⢋⣶⣾⣿⣿⣷⣶⡙⠗⠒⢶⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠠⢲⡏⠃⠀⠀⠊⡠⣿⣿⣿⣿⢅⠑⠀⠀⠘⢹⡖⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣴⠊⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠑⣦⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡵⠆⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠰⢮⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠉⠉⠹⠏⠉⠉⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀
⣿⣩⣋⣉⣍⣝⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⣾⣟⠀⠀⣹⣷⡖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠹⣧⣴⠟⠙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣀⣠⣄⣸⡄⠀⣹⣿⠀⢀⣇⣠⣄⣀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣠⣶⠟⢿⣅⡀⠀⢉⣠⣿⢿⣆⡈⠀⠀⣨⡿⠻⣶⣤⣀⠀⠀⠀⠀
⠀⠐⠒⠾⠿⣯⣁⠀⢀⣭⡿⠿⢞⣯⣭⢠⣽⡷⠿⢿⣭⡀⠀⣀⣽⣿⠷⠒⠂⠀
⠀⠀⠀⠀⠀⠉⠻⠗⣿⣅⣀⣀⡤⠈⣿⣿⠋⢠⣀⢀⣨⣿⡾⠟⠉⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠁⢸⠁⠀⣼⣯⠀⠀⡇⠈⠉⠀⠇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⡼⠏⠙⠧⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠻⣷⡀⢀⠄⠙⠓⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣠⠤⠶⠶⠦⣤⣀⠀⠀⠀⠀⢀⣠⠤⠶⠶⠦⣤⣀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠉⠳⣄⢠⡾⠋⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀
⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⡆⠀⠀
⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣷⡄⠀
⢀⣸⢿⣷⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⡿⣇⡀
⠉⠒⣾⣯⣅⣸⣿⣋⣉⣿⡿⠉⣻⣿⡛⢻⣿⣟⠙⣿⣿⣉⣙⣿⣇⣨⣽⣷⡖⠉
⠀⠀⠀⠉⢿⡛⠛⠛⠛⠛⠛⠻⠿⠿⠷⠾⠿⠿⠿⠛⠛⠛⠛⠛⠛⣹⠏⠁⠀⠀
⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⠋⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣤⣀⠀⠀⠀⠀⣀⣤⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⠖⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠖⠊⠉⠁⠀⠈⠈⠉⠙⠓⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⠖⠙⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠎ ⠙⢆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡰⠃⠀⠀⢹⡎⠓⢦⣄⠀⠀⣀⡴⠞⠋⡟⠀⠀⠈⠹⡄⠀⠀⠀⠀
⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⣧⠀⠀⢙⣷⣴⣋⠀⠀⣸⠃⠀⠀ ⠀⠀⠹⡄⠀⠀⠀
⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠘⣧⠶⠋⠁⠈⠙⠳⢤⡇⠀⠀⠀⠀⠀ ⠀⣧⠀⠀⠀
⠀⠀⠀⢸⡇⠀⠀⠀⣠⡴⠟⢻⡀⠀⠀⠀⠀⠀⡾⠙⢦⣀⡀⠀⠀ ⠀⣸⠀⠀⠀
⠀⠀⠀⠈⡇⣀⡴⣟⣁⠀⣀⡀⢷⢀⣀⣀⠀⣼⢃⣀⡀⣈⣙⢦⣄⠀⡏⠀⠀⠀
⠀⠀⠀⠀⢻⡉⠉⠉⠉⠉⠉⠉⠙⣏⠉⠉⢹⠏⠉⠉⠉⠉⠉⠉⠉⢹⠃⠀⠀⠀
⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢻⡀⠀⡟⠀⠀⠀⠀ ⠀⠀⠀⣰⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠙⢦⣄⠀⠀⠀⠀⠈⢷⣰⠃⠀⠀⠀ ⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⠦⣄⣀⠀⠸⡏⠀⢀⣀⣤⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⣿⣿⣿⣷⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢻⣿⣿⣷⡄⠀⠀⠀⠀
⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣾⣿⣿⣿⣿⡆⠀⠀⠀
⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀
⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀
⠀⠀⠀⣿⣿⣿⣿⣿⣿⡟⡁⠀⠀⠀⠀⠀⠀⠀⣀⠀⢻⣿⣿⣿⣿⣿⣿⠇⠀⠀
⠀⠀⠀⣿⣿⣿⣿⣿⣿⣁⠤⠵⣦⡔⠀⠐⣴⠯⡤⢤⡀⣿⣿⣿⣿⣿⣿⠀⠀⠀
⠀⠀⠀⣿⢹⣿⢿⣿⣿⠓⠒⠷⠖⠃⠀⠀⠓⠒⠒⠒⠁⢻⣿⣿⣿⣿⡟⠀⠀⠀
⠀⠀⠀⢻⡌⣿⢸⣿⣿⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠇⠀⠀⠀
⠀⠀⠀⠈⠇⢹⡆⢿⣿⣆⠀⠀⠀⠒⠒⠒⠂⠀⠀⢀⣠⢾⡿⢻⡿⠹⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡇⠈⢻⣯⠙⠲⠦⣄⣀⣠⡤⠖⠛⠉⠀⠞⠁⡾⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠸⠀⠀⠈⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣤⣤⣤⣤⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⣦⠀⠀⠀⠀⠀⠀⠘⣿⡇⢸⣿⠏⠀⠀⠀⠀⠀⠀⣴⡆⠀⠀⠀⠀
⠀⠀⠀⠀⢸⣿⠀⣀⠀⠀⠀⠀⠀⠘⠃⠘⠋⠀⠀⠀⠀⠀⢀⠀⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⢸⣿⠀⣿⣷⣦⣄⠀⢠⣶⠟⠻⢷⣄⠀⣠⣴⣾⣿⠀⣿⡇⠀⠀⠀⠀
⠀⠐⢾⡇⢸⣿⠀⣿⣉⣉⣉⠀⣿⡇⠀⠀⢈⣿⠀⣉⣉⣉⣿⠀⣿⡇⢸⡷⠆⠀
⠀⠀⠀⠀⢸⣿⠀⣿⡿⠟⠋⠁⠈⠿⣶⣶⠾⠋⠀⠉⠛⠿⣿⠀⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⢸⣿⠀⠁⠀⠀⠀⠀⠀⢠⡄⢠⣤⠀⠀⠀⠀⠀⠈⠀⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀⠀⣠⣿⡇⢸⣿⣆⠀⠀⠀⠀⠀⠀⠛⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⠛⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⡶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠛⠛⠛⠛⠛⠛⢻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⢾⣿⣿⣿⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⢸⣿⣿⣿⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⢸⣿⣿⡏⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠘⣿⣿⡇⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀
⣿⠛⠿⠷⢶⣶⣤⣤⣤⣤⣀⣀⣿⣄⣿⣿⣇⣿⣇⣀⣤⣤⣤⣤⣶⣶⠾⠿⠛⣿
⣿⢸⣷⣶⣶⣦⣤⣬⣭⣭⣭⣭⣿⣿⣿⣿⣿⣿⣯⣭⣭⣭⣥⣤⣤⣶⣶⣶⡇⣿
⣿⢸⣿⣿⣿⠿⠿⠿⠿⠿⠿⢛⣿⣟⣿⣿⣻⣿⣛⠻⠿⠿⠿⠿⠿⢿⣿⣿⡇⣿
⣿⣈⣤⣤⣶⡶⠶⠿⠿⠟⠛⠛⢻⡟⣿⣿⢻⣿⠛⠛⠛⠿⠿⠷⢶⣶⣤⣤⣀⣿
⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣿⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢻⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣾⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣿⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣿⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣿⣿⡌⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣿⣿⡇⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⣿⣿⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢰⣿⣿⡇⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⢸⣿⣿⣧⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⢸⣿⣿⣿⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠛⠛⠛⠛⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠈⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⣤⣶⣶⣾⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠈⠙⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠈⢻⣿⣿⣿⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢿⣷⣄⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⣠⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⣄⠀⠀⣿⣿⣿⠀⠀⣰⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣶⣿⣿⣿⣠⣾⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣷⣶⣤⣤⣤⣴⠂⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠛⠛⠻⢿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡇⠀⠀⠀⠀⠈⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣦⣄⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣄⣀⣠⣤⣴⣶⣾⣿⣿⣿⣿⡿⠀⠀
⠀⠀⠢⣀⡀⠀⠀⠀⣀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀
⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠉⠁⠀⠀⠘⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠈⢿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣦⡀⠀⠀⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣷⣦⣤⣤⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⠀⠀
⠀⠀⠀⠀⠉⠙⠻⣿⣿⣶⣤⣤⣀⣀⣠⣤⣀⣀⣠⣤⣶⣾⣿⠿⠛⠉⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⠉⠈⣻⣿⣿⣿⣿⣿⣿⣿⣿⣟⡁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⣠⣴⣶⣿⣿⡇⢠⣳⣾⣿⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣀⠀⠀⠀
⠀⠀⠴⠛⠋⠉⠉⠀⣨⣧⣿⠉⠉⠙⢿⣿⣿⠋⠉⢻⣿⣏⠀⠀⠉⠉⠛⠷⠄⠀
⠀⠀⠀⠀⠀⠀⢀⣾⣿⠿⣿⡀⠀⢠⢰⣿⡇⠀⠀⣾⡿⣿⣦⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀⠈⠃⠀⠸⣿⣿⣷⡀⠐⠋⠀⠀⠙⠻⣄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⢰⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠘⠂⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠸⠟⢘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢠⡶⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠷⢦⡀⠀⠀
⠀⠀⣿⢸⣉⡷⣹⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⡇⣏⣙⢎⡇⠀⠀
⠀⠀⠘⠷⠮⠶⠋⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠻⠶⠵⠞⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠈⠉⠉⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢤⠄⠐⠒⠒⠂⠠⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⠔⠊⠁⠀⡌⠑⢄⣀⣀⣀⠔⠛⡀⠈⠑⠢⢀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡠⢪⢀⣀⣀⡤⠾⠤⣤⠊⠁⠈⠙⣄⠤⠴⢤⣀⠀⢀⣑⢄⠀⠀⠀⠀
⠀⠀⢀⠌⠀⠈⠀⠀⡎⠀⠀⠀⠇⠑⡄⢀⠎⠉⡄⠀⠀⢹⠀⠀⡆⠀⠡⡀⠀⠀
⠀⢀⠎⠀⠀⡸⠋⠉⢏⠉⠒⢄⡆⠀⢸⡌⠀⢀⢃⠔⠊⢹⠉⠑⢧⠀⠀⠰⡀⠀
⠀⡼⣤⠐⠊⡇⠀⣀⣈⠢⡀⠀⢻⢄⡸⢃⡠⡚⠁⠀⡠⠃⠀⠀⢸⠓⠤⢀⣡⠀
⢀⠁⠈⢢⡤⠚⢏⠀⠀⠉⠙⢔⢺⠒⠉⠉⠒⡗⡲⠛⠉⠁⠈⡩⠛⢄⡠⠊⠈⡀
⢸⠀⠀⢸⡁⠀⠀⣈⠵⠶⠶⢌⡇⠀⠀⠀⠀⢸⡑⠶⠶⠒⡉⠀⠀⢈⡇⠀⠀⡇
⠈⡀⡠⠊⠑⣤⣊⡀⢀⣀⣤⠮⢼⠤⣀⣀⠤⡧⠕⣄⡀⠀⠀⢑⡤⠚⠣⡀⢀⠁
⠀⢋⠁⠒⢤⡇⠀⠀⢠⠊⠀⢀⡬⠊⢡⡎⠑⣧⠀⠈⠢⡉⠉⠀⢸⡀⠄⠛⡞⠀
⠀⠈⢆⠀⠀⢳⢄⣀⣇⡠⠔⢩⠃⠀⠸⡇⠀⠸⠑⠤⣀⣱⣀⣠⡞⠀⠀⡰⠁⠀
⠀⠀⠈⢢⠀⠸⠀⠀⣇⠀⠀⠘⡄⡠⠁⠘⢄⢰⠀⠀⠀⡸⠀⠀⡀⠀⡐⠁⠀⠀
⠀⠀⠀⠀⠑⢍⠁⠀⠉⠓⢖⠒⠙⣄⡀⢀⡠⠛⠒⡶⠚⠉⠉⠁⡣⠊⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠉⠢⢄⡀⠈⣤⠔⠉⠉⠉⠑⢄⡘⠀⢀⡀⠔⠈⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠂⠠⠤⠤⠄⠐⠓⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⣛⣿⠉⠉⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢈⣛⣿⠀⠀⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⢻⡟⢿⡏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣴⠶⠶⢿⡇⢸⡷⠶⢶⠤⠀⢀⣠⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀
⠀⠀⠀⢰⣿⠁⠀⠀⢸⡇⢸⡇⠀⠀⣠⡾⠛⠉⠀⠀⠀⠀⠈⠉⠻⢶⣄⠀⠀⠀
⠀⠀⠀⠘⣿⠀⠀⠀⢸⡇⢸⡇⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀
⠀⠀⠀⠀⣿⡇⠀⠀⣼⣿⣿⠀⣾⡇⠀⠀⠀⢰⠀⠀⠀⠀⢀⡄⠀⠀⠀⢹⡇⠀
⠀⠀⠀⣰⡟⠀⠀⠀⢿⣿⣿⠀⣿⡆⠀⢀⣶⠟⢷⡆⠀⣰⡾⠻⣦⠀⠀⢸⡟⠀
⠀⠀⣰⡟⠀⠀⠀⠀⠀⠈⠁⠀⠹⣧⠀⠘⢷⣤⣼⠇⠀⠻⣦⣴⡿⠀⢀⣾⠃⠀
⠀⠀⣿⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠙⢷⡄⠀⠹⠁⢀⣤⡀⠈⠇⠀⣴⡿⠁⠀⠀
⠀⠀⣿⡄⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠘⣷⣤⣤⠀⠚⠛⠃⠀⣤⣤⡿⠃⠀⠀⠀
⠀⠀⠈⠻⣦⣄⣀⣀⣀⣀⣀⣀⣀⣀⣤⡀⠉⣿⣀⣀⣀⣀⣀⣿⠉⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠉⠉⠉⠙⠛⠛⠋⠉⠉⠁⠀⠀⠈⠙⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣠⣤⣠⡶⢶⣄⣤⣄⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣠⡤⣤⣟⣻⣿⣀⣨⡷⠼⠿⣤⣤⠿⠧⢾⣅⣀⣿⣟⣻⣤⢤⣄⠀⠀⠀
⠀⠀⣀⣯⣀⣸⠏⠉⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠉⠹⣇⣀⣽⣀⠀⠀
⠀⣠⣿⣼⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣧⣿⣄⠀
⢸⣇⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠀⣸⡇
⠀⣿⣛⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣛⣿⠀
⠀⠈⣿⠁⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠈⣿⠁⠀
⠀⠀⠈⠛⣿⣹⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣏⣿⠛⠁⠀⠀
⠀⠀⠀⠀⠈⣏⠀⣸⣧⣄⣀⣀⠀⠀⣀⣀⠀⠀⣀⣀⣠⣼⣇⠀⣹⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⠉⠻⠶⣿⠉⢹⣟⣻⡏⢹⣟⣻⡏⠉⣿⠶⠟⠉⠁⠀⠀⠀⠀⠀
⠀⠀⠀⢰⡟⠛⠛⢷⡄⠈⢛⡿⠟⠛⠛⠛⠛⠻⢿⡛⠁⢠⡾⠛⠛⢻⡆⠀⠀⠀
⠀⠀⠀⠈⢿⡛⠛⠀⠙⠶⣿⠀⣠⣤⡀⢀⣤⣄⠀⣿⠶⠋⠀⠛⢛⡿⠁⠀⠀⠀
⠀⠀⠀⠀⠈⢿⡛⠛⠀⠀⢿⡈⠷⡼⠃⠘⢧⠾⢁⡿⠀⠀⠛⢛⡿⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠈⣿⣋⣉⣠⡾⢹⡇⢠⡄⢠⡄⢸⡟⢷⣄⣉⣙⣿⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠈⠳⠾⠷⠾⠷⠞⠁⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀
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