Dragon Transformation Emoji Combos

👩✨🐉

🐲🔥⚡

🐉✨🧹🏠

🩸➡️🐉

🐉⚡️🔥

🐉↔️🧹💖

👩‍🦰✨🐉

🐉🔥🫕⚔️

🐍➡️🐉

🧙‍♀️🐉🔥💚

👧✨🐉

✨🌀🍇🐉

🐍⏳➡️🐉

⣠⣾⣿⣿⣁⠠⣄⢀⣀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡦⠾⠿⠿⠿⠿⠷⠶⠿⠾⠷⢾⣤⣮⣉⣁⠀⠉⠉⠈⠉⠉⠉⠁⠛⠀⠀⠀⠀⢸⣿⣿⢣⡿⠃⠀⠀⠀ ⣿⣿⠟⢻⡏⠀⠀⠀⠀⢹⣧⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠶⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⢿⣦⣤⣀⠀⠃⠀⠰⠀⠀⠀⠀⢸⣿⣿⡿⠁⠀⠀⠀⠀ ⠁⠀⠀⠈⠿⠀⠀⠀⠀⠸⣿⣿⣷⣤⠄⠀⠀⣢⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣙⠻⣷⣦⣄⣾⡆⠀⠀⠀⠀⣿⣿⠁⠀⠀⠀⠀⠀ ⡆⠀⣠⣶⠈⣄⣤⣴⣲⣾⣿⣿⣿⡿⠿⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠙⢿⣿⣇⠀⠀⡀⢀⣿⡏⠀⠀⠀⠀⠀⠀ ⢿⣦⠿⠉⠀⡧⠚⠉⠀⠀⠸⣿⣿⡀⢀⢸⡴⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠆⠀⠀⠀⠀⠲⣆⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠙⢿⡋⠉⣗⡋⢻⡇⠀⣰⠀⠀⠀⠀ ⠀⠟⣷⣄⡀⢹⠀⠀⠀⣀⣤⡿⠛⢓⡞⢯⡶⢿⣿⠀⠀⠀⢀⠀⠀⠀⠀⠐⠂⠀⠀⠀⢰⠀⡀⠀⠀⠀⠀⠀⢸⣆⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠉⢳⣟⡙⡾⣇⢠⠏⠀⠀⠀⠀ ⢀⡄⠀⠛⠻⣮⣧⣴⡿⠛⠋⣄⣀⣭⣷⣾⣿⣽⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⡇⢱⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣍⢹⠃⠀⠀⠀⠀⠀ ⠁⠐⠀⠀⠀⣨⡿⠿⣶⡶⠋⠙⣿⣇⡈⢘⠿⠟⠁⠀⠀⢠⠀⠀⠀⠀⠀⢰⡇⠀⢸⡀⠀⢱⠸⡇⠀⠀⠀⠀⠀⣿⣾⡄⠀⠀⠸⣇⠀⠀⠀⠀⠠⡄⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⡏⠀⠀⣽⣷⣄⣶⣵⣶⣫⣿⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⣾⡇⠀⣰⣇⠀⠈⣇⢳⠀⠀⠀⠀⠀⣷⣹⣷⡀⠀⠀⣿⡄⠀⠀⠀⠀⢻⡀⠀⠘⢦⡀⠙⠷⣄⢀⠀⠀ ⠀⠀⠀⢠⣿⠀⠀⣰⢯⠀⢠⡾⣤⠿⠏⠉⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⢿⡗⠊⣿⣿⠀⠀⠸⡞⡆⠀⠀⠀⠀⡇⠹⣿⡓⠦⣤⣸⣿⡀⠀⠀⠀⠀⢧⠀⠀⠈⢿⠢⣄⠈⠻⣅⠀ ⠀⠀⠀⢼⡇⠀⢰⠇⢈⣷⣾⠁⢛⢻⣦⠾⠃⠀⠀⠀⢠⡆⢀⡴⠊⢩⠇⢸⡇⢰⡇⠹⡄⠀⠀⠹⣵⡄⠀⠀⠀⡇⠀⠹⣷⡀⠀⢹⣿⣧⠀⠀⠀⠀⠸⡄⠀⠀⢸⡶⠻⣿⡒⠮⡅ ⢶⠀⠀⣸⠀⠀⡟⠀⣼⢹⢸⡗⠒⠋⠁⠀⠀⠀⠀⠀⢸⡟⠁⠀⢠⡟⠀⢸⠀⡞⠀⠀⢻⡀⠀⠀⠱⣷⡀⠀⠀⡇⠀⠀⠸⣧⠀⠀⡏⢿⡑⠄⠀⠀⠀⣧⠀⠀⠘⡷⠀⢸⠹⡄⠀ ⠈⣷⠀⠿⠀⠀⡇⠀⣿⣸⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡞⠀⠀⢸⣸⠁⠀⠀⠀⣧⠀⠀⠀⠹⣷⡀⠀⡇⠀⠀⠀⢹⡀⠀⡇⠘⣷⠀⠀⠀⠀⢹⠀⠀⠀⣧⣀⡼⠀⠁⠀ ⠀⠸⣿⡁⠀⠀⢷⡄⠉⠀⢠⣿⡄⠀⠀⠀⠀⠀⠀⠀⡾⠀⢀⡞⠁⠀⠀⡿⠃⠀⠀⠀⠀⠘⡆⠀⠀⠀⠈⢿⡄⡇⠀⠀⠀⠀⢷⠀⡇⠀⠸⡇⠀⠀⠀⢸⠀⠀⠀⡿⢿⡄⠀⠀⠀ ⠀⠀⢀⠁⠀⠀⠈⢻⠶⠶⡟⢻⡹⣄⠀⠀⠀⠀⠀⠀⢹⢀⡞⠁⢀⣀⣰⣃⠐⠒⠶⣄⠀⠀⠱⡄⠀⠀⠀⣿⠙⣇⣀⠴⠒⠒⠘⣶⠃⠀⡀⢻⠀⠀⠀⢸⠀⠀⠀⢷⠈⢧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡷⡀⢳⡘⢧⠀⠀⠀⠀⠀⣸⣽⠶⠛⠉⣭⣍⠛⣿⢷⣦⣌⠙⠀⠀⢳⡀⠀⠀⣿⣰⠟⣡⣴⡾⠿⠟⢿⠿⠿⣥⣈⡇⠀⠀⢸⠀⠀⠀⢸⠀⠸⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡇⠘⢦⠑⢾⠀⠀⠀⠀⠀⢹⡇⠀⣴⣧⣤⣿⠀⠈⣷⡝⣿⡏⠀⠀⠀⢳⡀⢰⠿⡿⣺⡟⠛⣏⠉⠻⣦⠀⠀⢸⡇⢳⠀⠀⣸⠀⠀⠀⢸⠀⠀⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣇⠀⢈⡷⢾⣷⡀⠀⠀⠀⠘⡇⠐⣿⠀⡀⢾⠆⢤⣿⡇⠀⠙⠁⠀⠀⠈⢧⡼⠀⡷⣿⠟⠚⣿⠀⠀⣼⡇⠀⡸⠃⢸⡄⠀⡟⠀⠀⠀⢸⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡆⠀⢸⠀⠀⣿⣄⢸⢁⣼⠸⡇⠀⠀⠀⠀⣧⠀⠹⣟⠁⠈⠁⢀⣿⠃⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⢿⣅⠀⠿⠈⠓⣿⠇⠀⠁⠀⡾⡇⢸⠁⠀⠀⠀⢸⣿⠀⠀⠀⠀ ⠀⡆⠀⠀⣸⠃⠀⢸⠀⠀⣿⠙⣇⠘⢻⢀⣿⠀⠀⠀⠀⢿⠀⠀⠈⠙⠻⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢦⣤⡤⠾⠋⠀⠀⠀⢸⠁⠇⡾⠀⠀⢸⠀⢘⠸⠀⠀⠀⠀ ⣸⠀⠀⣠⣿⠀⠀⢸⠀⠀⣿⠀⢽⡀⢿⡈⣯⡇⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⣸⠃⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⡏⠀⠀⣿⠇⠀⠀⢸⠀⢀⣿⠀⢸⣧⡈⣷⡷⢽⡄⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⡇⠉⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⣿⠀⠀⠀⣿⠀⣼⣽⠀⢸⣿⣿⣿⣇⣀⢻⡄⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⣷⠀⠀⠀⠀⣸⠹⡆⣆⠀⠀⠀⠀ ⠀⢰⣿⡏⠀⠀⠀⢯⣤⠟⡇⠀⣻⡿⠛⣿⠛⠛⠻⣿⣄⢀⠀⢹⡄⠀⠀⠀⠀⠀⠀⡼⠿⠟⠉⠛⠛⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⣼⣹⡀⠀⠀⠀⡟⠀⣿⡿⡀⠀⠀⠀ ⢠⣿⣿⠃⠀⠀⠀⢸⠁⣸⢃⡾⠋⠀⠀⡇⠀⠀⠀⠛⠙⢿⣇⠐⣧⡀⠀⠀⠀⠀⠀⣧⡀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⢸⢶⡏⢿⣇⠀⠀⠀⡇⠀⣇⠻⣇⠀⠀⠀ ⡾⢻⡿⠀⠀⠀⠀⣸⣠⠟⠋⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠈⠻⣦⢻⠙⢷⣦⣄⡀⠀⠈⠙⠓⠲⠴⠒⠛⠁⠀⠀⠀⠀⣀⡤⠖⠋⠀⠀⣼⡟⠀⠸⣿⠀⠀⣸⠁⠀⣹⠀⠙⠆⠀⠀ ⠀⢸⠁⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣾⠀⠈⠻⡿⢍⡛⠦⢤⣄⣀⣀⣀⣀⣠⠤⠖⠚⠋⠁⠀⠀⠀⠀⢰⡿⠁⠀⠀⣿⠀⢠⠏⢳⣄⢸⡇⠀⠀⠀⠀ ⠀⠈⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠙⣦⡙⢦⡀⠀⠈⢉⡏⢻⠻⣤⣦⡀⠀⠀⠀⠀⠀⠰⠊⠀⠀⠀⠀⣿⣠⠏⠀⠀⠙⢧⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⠙⢦⡀⠈⡇⢸⡄⠈⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠋⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⠙⢦⡇⠘⡇⠀⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣦⣀⡇⠀⡇⠀⠀⠀⠸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠉⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⠀⠙⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠔⠒⠒⠋⣶⡖⠒⠒⠤⢀⣀⠀⠀⠙⢄⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠊⠁⣀⣴⣶⣆⠀⡼⠟⠀⠀⠀⠀⠀⠀⠉⠒⢤⡈⢆⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢀⣶⣿⣦⣠⣤⣾⣿⣿⣿⣿⠙⣏⠛⠳⠦⣤⣀⠀⠀⠀⠀⠀⠈⢻⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡰⢋⣿⣿⣿⡿⠋⠉⠉⠛⠋⠉⠀⠈⠀⠀⠀⠀⠉⠳⣤⡀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⡜⣠⠞⠹⠿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡟⢄⣠⣗⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢈⣆⣾⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⢀⢣⠀⠻⣯⡁⠀⢀⣀⢀⣄⣶⣾⠟⠳⡄⠀⠀⠀⠀ ⠀⢀⠀⠀⠀⠀⣬⣻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⢱⠀⠀⠀⠀⢱⠀⠀⠀⠈⡘⡆⠀⠹⡿⣳⣦⢩⣾⣿⡟⠁⠀⠀⠘⡄⠀⠀⠀ ⠀⢸⠀⠀⠀⢰⣿⠃⢸⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⢧⠀⢧⠀⠀⠀⠈⡶⠀⠀⠀⡇⢣⠀⠀⢻⣡⣼⣿⣿⡿⡄⠀⠀⠀⠀⠸⡀⠀⠘ ⠀⠀⢇⠀⢀⣿⠇⠀⠈⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠘⣆⢸⡆⠀⢀⠜⢻⠈⡄⠀⢸⠘⡄⠀⠸⡆⠹⣷⡱⣁⢀⡀⠀⠀⣀⠀⠁⠀⡀ ⠀⠀⠈⢢⣸⣿⠀⠀⢀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⢻⡄⣿⡔⠁⠀⠸⡆⣇⠀⠘⡄⡇⠀⠀⣿⡀⠈⠑⠚⠒⠋⡏⠁⠀⠀⠀⠀⣇ ⠀⠀⠀⣼⣿⣿⠀⠀⢸⣀⠀⠀⠀⠘⣧⠀⠀⠘⡀⠀⠀⢸⣷⢻⣧⠀⠀⠀⣧⢹⠀⢀⡗⠃⠀⠀⢸⣇⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠑ ⠀⠀⣸⠉⢸⣿⠀⠀⢸⣿⡤⠤⠤⢤⡯⣆⠀⠀⢣⠀⠀⠈⣽⡞⡏⣆⣀⣤⣾⠾⣯⣥⣿⠃⠀⠀⠘⠾⡀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀ ⠀⠀⠸⠀⠘⣿⡄⠀⠈⣿⣇⠀⠀⠀⠧⠚⢦⠀⠈⢧⠀⠀⣇⣷⠿⢛⣩⣷⡾⠻⠿⢿⣿⡄⠀⠀⠀⡇⣇⠀⠀⠀⢰⠀⠉⠙⢄⠀⠀⠀ ⠀⠀⠆⠀⢀⣾⡇⠀⠀⢻⣿⣄⣀⣀⣸⣤⣬⣧⣀⡼⠗⠋⠁⠙⠒⢻⡟⠉⢣⣠⠀⠀⣝⡇⡄⠀⠀⠈⢹⡄⠀⠀⠸⡄⠀⡀⢸⠀⠀⠀ ⠠⠮⠤⠒⠁⢸⡇⠀⠀⢸⣿⠛⣿⣭⣽⣷⠾⢿⣿⡀⠀⠀⠀⠀⠀⠀⠣⣀⠀⠉⣀⠴⠉⠇⢂⠀⠀⠀⢸⠘⡄⠀⠀⡇⢠⢇⡜⠠⠄⣀ ⠀⠀⠀⠀⠀⢸⢻⠀⠀⠈⡿⢿⡁⠙⣿⠛⢆⣰⠈⢱⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⢰⢸⠀⠀⠀⢸⠀⠰⡀⣰⣤⣾⣿⡁⠀⠀⢰ ⠀⠀⠀⠀⠀⠸⡟⡆⠀⠀⢣⠀⢳⣄⠈⠦⣀⣉⣀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⢸⡄⢠⠀⢸⠒⣒⣾⣿⣿⣿⣯⣿⣦⠀⠈ ⠀⠀⠀⠀⠀⠀⣧⢱⠀⠀⢸⠀⠸⣏⣦⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡿⠋⢨⣼⣧⣀⡧⢮⣉⠔⠙⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⡌⠀⠀⠈⡇⠀⣿⡟⠳⢄⣀⣀⣀⣀⣀⣀⣀⡬⠥⠲⢾⡛⡵⠃⠀⠀⣀⠝⠉⠁⠀⠀⠘⢄⠀⠙⢿⣿⣿⣿⣿⣭⣿ ⠀⠀⠀⠀⠀⠀⢸⢧⠀⠀⠀⢇⠀⢸⣿⣧⣇⣤⣼⣋⣼⣏⠀⠀⠑⠤⢄⣀⣿⣧⡤⠔⠚⠁⠀⠀⠀⠀⢀⡠⢼⡆⠀⠀⠀⠀⢸⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠈⢇⠀⣄⢸⡶⠧⠴⣿⣿⣷⣿⣍⣷⣿⣢⡀⠀⠀⠀⣿⣯⣼⠂⠀⠀⠀⠀⣀⣴⡮⢿⣶⣿⣷⠀⠀⠀⠀⠈⢿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠦⠜⠉⠀⠀⠀⣿⣿⣿⣿⣿⣯⣿⣾⣓⣤⡀⠀⣿⣿⣿⠃⣀⣠⣴⣾⢿⡿⣽⣿⣟⡺⢿⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠋⠉⠻⢿⣿⣯⣽⣿⢿⣷⡧⣿⠿⣿⠿⢿⣯⡿⢿⣿⡽⠓⠚⢹⠃⠀⠀⠀⠀⠀⠀⠀

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⣴⣿⣿⣇⠀⠀⠴⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠴⠶⠟⠛⠛⠛⠛⠛⠻⠾⠶⣽⣥⣈⡉⠁⠈⢀⠀⠙⠀⠀⠀⢸⣿⣭⡿⠃⠀⠀ ⠟⠋⠙⡇⠀⠀⠀⢸⣷⣆⠀⠀⠀⡀⣀⡴⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣦⣀⠀⣠⡀⠀⠀⢸⣿⡟⠀⠀⠀⠀ ⡀⠀⣠⠌⣀⣠⣤⣼⣿⣿⣿⣦⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⡇⠀⠀⢘⣿⠁⠀⠀⠀⠀ ⢳⣜⠋⠀⡟⠋⠁⠀⢿⣿⡀⣈⡷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⡄⠀⠘⢆⠀⠀⠀⠀⠙⢿⣁⣶⣋⢿⠀⢰⠀⠀⠀ ⠀⠛⢶⣄⣧⠀⣀⣤⡞⠉⢹⣛⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢿⡀⠀⠈⢆⠀⠀⠀⠀⠀⠈⢿⣼⢾⣤⠃⠀⠀⠀ ⠂⠀⠀⠈⢻⣿⣯⡤⠞⣶⡟⠛⣿⡿⠃⠀⠀⠀⠀⠀⠀⢰⠀⢸⠀⢸⢸⠀⠀⠀⠀⢸⣷⡀⠀⠘⡄⠀⠀⠀⢀⠀⠀⠉⢲⡇⠀⠀⠀⠀ ⠀⠀⠀⢰⠋⠀⣹⣧⣠⣼⣭⣿⡇⠀⠀⠀⠐⠀⠀⠀⢀⣿⠀⣸⡀⠀⢧⡆⠀⠀⠀⢸⣿⣧⠀⠀⢿⡀⠀⠀⠈⢆⠀⠰⣄⠙⠧⡀⠀⠀ ⠀⠀⠀⡟⠀⣰⢻⡀⣺⣶⣟⠁⡷⠀⠀⠀⠀⠀⢀⣠⡾⢿⠉⡿⣇⠀⠘⣹⡀⠀⠀⢸⠙⣿⡓⠢⢼⣧⠀⠀⠀⠘⡀⠀⠘⡗⣦⣈⠣⡀ ⣀⠀⢸⠇⢀⡇⢰⢿⣧⣀⠼⠛⠁⠀⠀⠀⣧⠔⠉⣰⠁⡈⢰⠃⠸⡄⠀⠹⣷⠀⠀⢸⠀⠘⢷⠀⠘⣿⣧⡀⠀⠀⢇⠀⠀⣿⠉⣿⡍⠂ ⠹⣄⢸⠀⢸⠀⣿⡸⢹⠀⠀⠀⠀⠀⠀⢠⠃⠀⢠⠃⠀⣆⡎⠀⠀⢣⠀⠀⠘⣧⠀⢸⠀⠀⠘⡇⠀⡇⢻⠀⠀⠀⢸⠀⠀⢸⣀⡞⠈⠀ ⠀⠻⡆⠀⠘⣆⠈⠀⣼⣆⠀⠀⠀⠀⠀⢸⠀⢠⠃⠀⢀⡟⠀⠀⠀⠈⠇⠀⠀⠈⢷⣸⠀⠀⠀⢸⢀⡇⠀⣇⠀⠀⢸⠀⠀⢸⢿⡀⠀⠀ ⠀⠀⠀⠀⠀⠸⡟⢻⡉⢎⢦⡀⠀⠀⠀⢈⣤⣃⣤⣤⣾⣤⣌⡑⢢⠀⠘⡄⠀⠀⡇⢹⡴⢊⣁⣠⣿⣀⡤⢸⡀⠀⢸⠀⠀⢸⠀⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⢸⠁⣌⢦⡇⠀⠀⠀⠰⡟⠁⣤⣘⣏⠘⢿⠿⣶⠀⠀⠹⡄⢀⣿⡿⣾⢿⡿⠧⣍⠈⠙⡟⡇⠀⢸⠀⠀⢸⠀⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⢸⡀⢈⡷⣷⡀⠀⠀⠀⡇⢸⡇⡀⢿⠠⣼⡇⠈⠂⠀⠀⢹⣼⠘⣿⡗⠚⡇⠀⣸⡄⢠⠃⢸⠀⡘⠀⠀⢸⣇⠀⠀⠀ ⠀⠀⠀⢠⠂⠀⡇⢨⣧⡸⢠⡇⢣⠀⠀⠀⣷⠀⠻⣁⣈⣀⡽⠁⠀⠀⠀⠀⠀⠉⠀⠘⣧⠀⠃⢉⡿⠁⠀⢀⡞⠀⠇⠀⠀⠘⣿⠀⠀⠀ ⣰⠀⢀⡼⠀⠀⡇⢸⡇⢳⠀⡇⣾⡄⠀⠀⠘⡀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠉⠀⠀⠀⣼⠀⡽⠀⠀⢣⠀⠀⠀⠀⠀ ⡇⠀⣸⡇⠀⢰⠃⢸⡇⢸⣇⣳⣾⣷⡀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⡄⠃⠀⠀⣼⡄⠀⠀⠀⠀ ⠀⢠⣿⠀⠀⢸⠀⣾⠇⢸⣿⣿⣧⣄⣣⠀⠀⠸⡄⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢀⣇⠀⠀⠀⡟⢧⡀⠀⠀⠀ ⢀⣾⡏⠀⠀⢸⡖⢻⢀⡼⠋⢹⠋⠉⠹⠷⣤⡀⢧⠀⠀⠀⠀⢠⡟⠉⠀⠀⠉⢻⠀⠀⠀⠀⠀⠀⢀⠼⣏⡼⣿⠀⠀⠀⡇⢸⢿⡄⠀⠀ ⣼⣿⠁⠀⠀⢸⢁⡿⠋⠀⠀⡜⠀⠀⠀⠀⠘⢷⣸⠷⣤⣀⠀⠀⠓⠦⠤⡤⠴⠋⠀⠀⠀⢀⣠⠔⠉⢀⣿⠃⢻⡇⠀⢸⠁⢸⡈⠳⠀⠀ ⠀⠎⠀⠀⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡆⠈⢿⣿⡒⠤⢄⣀⣀⣀⣠⠤⠖⠚⠉⠀⠀⠀⢸⠏⠀⠀⡇⢀⠟⢦⡈⡇⠀⠀⠀ ⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠱⣍⠢⣄⠀⢸⠘⡟⢶⣦⠀⠀⠀⠀⠐⠁⠀⠀⠀⣧⠎⠀⠀⠙⢷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡈⠢⣸⠀⡇⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠸⠋⠀⠀⠀⠀⠈⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣆⣸⠀⡇⠀⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢖⡠⠌⠀⠀⠀⢀⣀⣰⠧⠤⠤⣄⣀⣀⣀⣀⠀⠀⠀⠀⠈⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⠋⠀⠀⢠⠴⠊⠉⠉⡟⠻⣄⣠⠤⣴⡛⠻⡇⢀⡀⠉⣶⣄⣀⣄⡐⠀⠀⠉⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠀⠀⠀⠀⠸⠀⠀⢀⡠⠿⣤⠴⠋⠉⠉⢉⠗⠀⠀⠀⣮⠉⠉⠉⠙⠶⢍⣩⡁⠈⠱⣄⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢱⣄⣀⣸⠀⡔⠓⡴⢉⡵⠒⠁⠀⡰⠃⢠⠏⠀⠀⠀⠀⠉⠁⠀⢃⠀⠀⢀⠀⠉⠑⣶⠾⣷⢤⣀⠈⠒⢄⠀⠀⠀⠀⠀⠀ ⢳⡶⠟⠋⠙⣍⡹⠋⣁⢿⡶⠋⠀⠀⠀⡼⠁⠀⡜⠀⣼⠀⠀⠀⠀⡄⠀⠸⡀⠀⠈⣆⠀⠀⠈⠲⢧⣀⠈⢢⠀⢈⡇⠀⠀⠀⠀⠀ ⠀⠳⡀⢀⣤⣾⠁⡜⡱⠊⠀⠀⠀⠀⣾⠃⠀⢠⠇⢀⠏⠀⠀⢀⢀⠇⠂⠀⣇⠀⠀⠸⡄⠀⠀⠀⠀⠈⢦⢼⣤⠘⣤⣀⡀⠀⠀⠀ ⠀⠀⠙⢿⠉⢈⡿⠋⠀⠀⢠⠀⠀⣸⣟⣀⢠⣿⠀⢸⠀⠀⠀⣸⡜⣶⣾⡤⣿⣦⣀⡀⣷⠀⠀⠀⠀⠀⠘⡖⠻⡀⠈⡇⠀⠀⠀⠀ ⠀⠀⠀⡠⢟⣩⡄⠀⠀⢠⡏⠀⠠⡿⡏⠀⡞⢸⠀⢸⣇⠀⢀⣿⠁⣿⢻⡀⢸⠘⡄⠈⢹⣇⠀⠀⠀⠀⠀⠹⡀⢇⠀⢳⣀⡠⠔⠂ ⠀⠒⠋⠉⠀⡾⠀⠀⢀⡟⡇⠀⣼⠁⡇⡸⠀⠀⡇⢸⢻⡄⣸⠃⠀⣿⠀⢧⠸⠀⠹⡀⠘⢟⠰⠀⠀⠀⠀⠀⢷⢼⡄⡾⠉⠁⠀⠀ ⠀⠀⠀⠀⢸⠃⠀⠀⢸⠀⡇⠀⡏⠀⣧⣧⣤⡤⣵⣤⠘⣷⠃⠀⠀⡜⠀⠸⣾⣤⠀⢣⢠⠘⣧⠀⠀⠀⠀⠀⢸⠚⡏⡇⠀⠀⠀⠀ ⠀⠀⠀⢀⠎⠀⠀⠀⠈⠀⡇⢸⣶⠞⢿⠛⣿⣿⣿⣿⠀⠙⡄⠀⠀⡇⢴⣾⠿⣿⣟⡛⢿⣤⣹⡆⠀⠀⠀⠀⠘⣦⡷⠃⠀⠀⠀⠀ ⠀⠀⢀⠎⢀⡇⠀⠀⢠⢀⣧⡞⢣⢠⣿⠒⣻⣿⣷⠈⠀⠀⠙⣄⠀⡇⠋⣿⢤⣾⣻⣿⡄⢸⠉⡇⠀⠀⠀⡀⠀⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠃⣠⠊⡇⠀⠀⢸⣾⠈⡿⢢⠘⣷⡜⠛⢋⣹⠀⠀⠀⠀⠈⠳⣇⠈⣿⣿⠛⠛⣿⠃⠘⢰⡗⢻⡀⠀⣷⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⡸⠀⡇⠀⠀⡼⢃⡰⠃⢸⠀⠈⠙⠒⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠛⠁⠘⠉⣾⡇⠸⣧⠀⢹⣆⢹⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⡇⢸⢸⠁⠀⠀⢠⠃⠀⢀⡤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡗⠢⣀⠀⠸⡀⠘⡇⠀⡟⢧⣯⠟⢾⡆⠀⠀⠀⠀⠀ ⠀⠀⢀⠁⠀⡇⣸⣼⠀⠀⠀⢸⠖⠉⢁⡠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢢⡀⠱⣄⡇⠀⡕⢀⠏⣿⠋⠀⠘⣷⠀⠀⠀⠀⠀ ⠀⠀⠸⠀⠀⣷⡇⣿⠀⠂⠀⠞⠀⢰⠃⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⣧⠀⠹⣄⠀⡇⡘⢠⣿⠀⠀⠀⣟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡿⠀⠸⣧⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⢿⡁⠀⠀⢉⣿⠀⠀⠀⢀⠏⠀⠀⠀⠀⠁⢋⡏⠉⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⢠⣷⠀⣼⠇⣀⣀⣿⢣⡀⠀⠀⠀⠈⠑⠢⣄⡀⠀⠀⠉⠉⠉⠉⠁⠀⢀⡔⠁⠀⠀⠀⠀⠀⢀⡞⢧⡀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⣼⠇⢰⣿⢰⠁⠀⢹⣄⠳⣄⠀⠀⠀⠀⠀⠈⢯⣿⣶⠤⠤⠤⠤⢴⣾⠏⠀⠀⠀⠀⠀⠀⢀⣾⠤⢼⣿⡄⠀⠀⢸⡄⠀⠀⠀⠀ ⢀⡏⠀⣼⡇⢸⠀⣀⠀⣿⣆⣻⣦⣀⠀⠀⠀⠀⢸⠞⠙⠦⣀⣀⠴⠚⢹⠀⠀⠀⠀⠀⠀⣠⣿⠇⠀⢸⡙⢻⣀⠀⠀⣇⠀⠀⠀⠀ ⡜⠀⠰⡿⢀⡏⠀⠀⠉⡟⢿⣿⡏⠬⠷⠤⠤⢴⡇⠀⠀⢠⣾⡄⠀⠀⠘⣆⠀⠀⢀⣴⠊⢹⣿⣀⢀⢯⡈⠙⢏⢡⠀⢿⠃⠀⠀⠀ ⠀⠀⢰⣇⠎⠱⡄⠀⠘⢀⡜⠁⠀⠀⠀⠀⠀⡼⢧⠀⡴⠋⠈⢣⡀⢀⡴⢹⠀⠀⠀⠀⠉⠻⢿⠁⢀⣤⠃⠀⠈⢣⠀⢸⡀⠀⠀⠀ ⠀⢀⣾⠏⠀⢰⢹⠀⢠⠊⠀⠀⠀⠀⠀⠀⡰⠁⠈⠉⣇⡀⢀⠎⠉⢉⠀⢸⡇⠀⠀⠀⠀⠀⠈⢷⠃⠀⠀⠀⠀⠀⡆⠈⡇⠀⠀⠀ ⢀⡜⠈⠀⠀⢸⣸⠖⠁⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⢠⠏⠉⢻⠤⠒⠁⠀⣽⣧⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⢠⠀⠇⠀⠀⠀

⠇⠈⣇⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⢷⠱⡀⠇⠀⠙⢦⠘⢌⠳⣄⣤⠈⢧⠀⠀ ⠀⠀⢹⣄⡀⢯⢳⡀⠀⠀⠀⠀⠀⠀⠸⡇⠱⡘⣀⠠⣔⣷⣾⢟⠋⠑⢦⡈⢧⠀ ⠀⠀⠀⢳⡀⠸⡄⠱⡄⠀⠀⠀⠀⠀⠀⢷⣐⣽⣷⢟⣫⡥⠤⢿⣧⠀⠀⠙⢮⣇ ⠀⠀⠀⠈⢧⠀⢧⠀⠙⣆⠀⠀⠀⠀⠀⢸⠛⠉⢸⠟⠁⢠⠀⠀⠘⢧⠀⠀⠀⢻ ⡇⠀⠀⠀⢀⣳⣼⣄⡀⠈⢦⡀⠀⠀⠀⢸⠀⠀⣾⠀⠀⠘⡆⠀⠀⠈⡇⠀⠀⠘ ⢃⣀⣤⣤⢶⣟⣻⣿⡀⠀⠀⠳⣄⠀⠀⢸⠀⠀⠸⣄⠀⠀⠈⠀⠀⣰⠃⠀⠀⠀ ⠻⠋⠁⣰⠟⠁⠀⠈⠛⣦⠀⠀⠘⢆⠀⢸⠀⠀⠀⠈⠒⠤⠄⠀⠀⠁⠀⠀⠀⠀ ⣆⣇⠀⡏⠀⠀⢹⡀⠀⠘⣇⠀⠀⠈⢇⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢾⡀⢳⡀⠀⠀⠃⠀⢠⡏⠀⠀⠀⠸⠁⠀⠀⠀⠀⠀⢀⠠⡔⢒⠦⡀⠀⠀⠀ ⢄⠀⠣⡀⠙⠢⠤⠤⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣀⠄⠊⠁⠀⠱⠜⠀⠙⣆⠀⠀ ⢯⢿⠒⠬⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀ ⠘⣎⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀ ⣀⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀ ⣠⠞⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⣀⡴⠋ ⢻⡀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⠄⣀⡀⠀⠀⣀⣠⡴⠛⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⢀⡀⠤⠤⠤⣄⡀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠂⠉⠁⠀⢀⡴⠚⠉⣀⣀⣀⡀⠀⠀⢈⣀⣀⣀⡀⠀⣹⣷⠀⠀⠈⠲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⢀⣴⣖⠉⠉⠓⡶⠊⠀⠀⠀⠉⠉⠩⡁⠀⠀⠀⠉⠛⠢⣄⣀⣹⠓⠢⣘⢦⡀⠀⠀⡖⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⡞⠁⠀⡴⠋⣠⠼⠦⠒⠉⠀⠀⡰⠀⢀⠀⠀⠀⡜⡄⠀⢆⠀⠀⢢⠀⠈⠙⠢⡀⠈⢣⡈⠐⣾⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠊⠁⠀⢀⣼⣁⡴⠃⠀⠀⠀⠀⠀⢀⠇⠀⣼⠀⠀⠀⢡⢱⢀⠈⣆⠀⠀⢣⡀⠀⠀⠈⢳⡊⠉⣱⣼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠾⣅⢀⡜⠁⠀⠀⢀⠀⠀⠀⣸⠀⢀⣿⠀⠀⠀⠨⠀⢸⣦⠼⣦⣀⡀⢣⠀⠀⠀⠀⠈⠻⡀⠈⣷⠔⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠏⢠⡞⠁⠀⠀⠀⠀⣸⡠⠔⢺⡟⠀⣸⣿⡄⠀⠀⠀⡆⠐⠿⡄⠛⣧⠈⠙⡆⠀⠀⠀⠀⠀⠙⠯⣽⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣄⣸⠁⠀⠀⠀⠀⢴⡏⠀⠀⡞⠁⠀⡏⢿⡇⠀⠀⢠⡏⢸⠀⠸⡔⠈⢧⠀⢱⠀⡀⠀⢣⠀⠙⡖⠾⢷⡦⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠀⡴⠉⢹⠀⢠⠆⠀⠀⣸⡇⠀⡜⠀⠀⢸⠁⠸⡇⠀⠀⣸⠁⡼⠀⠀⢿⡀⠈⢧⢸⡄⠸⣆⠘⡄⠀⠘⡄⠀⢗⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠞⠋⠙⡇⠀⡘⠀⠀⢀⣿⡇⢠⠃⠀⢸⣸⠀⠀⢻⠀⡰⠃⢠⠇⡠⢄⣺⣄⣠⣈⣾⠻⡄⢻⡄⡇⠀⠀⠘⡄⠸⡀⠀⠀⠀⠀ ⠀⠀⠀⠈⢸⢤⣸⠁⢠⠃⠀⠀⣸⡟⢱⣼⣰⣶⣿⣇⠀⠀⢸⠉⠀⢀⡌⠀⢰⡿⢿⣿⣟⡋⠙⢿⠿⣸⣷⡇⠀⢀⠀⠸⡀⢣⠀⠀⠀⠀ ⠀⠀⠀⠸⣆⣠⡞⠀⡘⣠⠀⢀⣿⣷⡿⠟⠛⣿⣿⣿⠃⠀⢸⠀⢀⠞⠀⠀⠀⣾⣤⣿⡛⣿⡄⠘⠂⣿⢹⠃⡀⢸⣄⠀⢣⠘⡄⠀⠀⠀ ⠀⠀⠀⠀⠈⢻⠃⠀⣷⠻⠀⣸⡟⣇⠀⣴⡖⢻⣯⣿⣧⠀⢈⡤⠋⠀⠀⠀⠀⢿⣷⡿⢟⣿⠃⠀⠀⣿⡌⠀⢹⠈⡏⠳⡈⣆⢃⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⢰⣿⡏⠀⣄⠏⠇⠘⠄⠙⣷⡿⠛⣭⠏⠀⠈⠁⠀⠀⠀⠀⠀⠀⠉⠓⠋⠁⠀⠀⢠⡟⣧⠀⠀⣇⣿⡀⠘⢿⣎⡄⠀⠀ ⠀⠀⠀⠀⠀⣷⡿⡟⠀⠀⡟⠀⢀⠀⠀⠀⠀⠉⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⢻⡄⠀⠸⡿⢧⠀⠀⠘⠳⠀⠀ ⠀⠀⠀⠀⢰⣿⠊⣷⠀⠈⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣸⡇⠀⠀⢷⠘⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⡏⠀⣿⠀⠀⠀⠀⢸⣆⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠟⠛⠛⠿⣶⣄⠀⠀⠀⠀⠀⢰⣿⣿⣿⣇⠀⣆⢸⡆⠘⣆⠀⠀⠀⠀ ⡄⠀⠀⠀⣼⠁⢸⣿⡇⠀⠀⠀⢸⡛⣆⠀⠀⠀⠀⠀⢀⠟⠉⠀⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⣠⣿⣿⣿⣿⣿⠀⣿⣸⡇⠀⠹⣆⠀⠀⢠ ⠀⠀⠀⢠⡟⠀⣿⣿⣧⠀⠀⠀⢸⣿⣿⣷⣄⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⣠⣾⣿⣿⣿⣿⣿⡏⢰⣿⣿⣿⡔⣆⠙⣆⢤⠀ ⠀⠀⠀⣼⠃⠀⣿⡏⢿⡆⣇⠀⠸⡏⡿⣿⢻⣿⣶⣤⣄⣙⣦⣀⣀⣀⠠⣤⣾⣯⡴⣿⣿⣿⡟⠋⠉⢻⣿⣷⣏⣿⣿⣻⣿⣿⣆⠘⣎⣇ ⠀⠀⢀⡏⢰⣿⠇⢠⣌⣿⣾⣆⠀⣇⢀⡼⠉⠉⠹⡙⠙⢿⣿⡋⠛⠓⠊⠉⣩⢟⣦⣼⢻⢿⣀⠀⠀⠸⣿⣿⠟⠁⠀⠙⢿⡿⣿⡄⠸⣎ ⠀⠀⢸⠁⣿⠇⠀⠀⠙⠀⠻⣿⢧⣸⡋⠀⠀⠀⠀⠱⣄⣸⣼⣧⠀⢀⣴⣏⠵⠋⠀⢸⣿⠀⠈⠉⡹⠟⠉⠉⠳⢄⠀⣀⡼⠃⠙⣿⡄⠙ ⠀⠀⠀⢰⡟⠀⠈⠀⠀⠀⠀⣸⢯⣹⣧⠀⡀⠀⢠⠞⢫⡟⠀⣹⠶⠟⠋⠁⠀⠀⢠⠏⠘⢄⡠⠊⠀⠀⠀⠀⠀⠀⠹⣍⡽⠓⢦⠈⢻⠀ ⠀⠀⠀⠈⠀⠀⠀⠀⠀⢀⠔⠹⠁⠀⠈⠙⠻⣷⠋⢀⡟⣠⡾⠷⢷⡀⠀⠀⠀⢠⣏⢠⡔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠆⠀⠀⠀⠀⢢ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⢀⡄⠀⠀⣀⣰⣃⣲⡿⠋⡟⠀⠀⡼⢳⡀⠀⣰⡿⢍⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈

⣾⢿⠀⠐⢺⡀⠀⠀⠀⣀⠤⠔⠒⠋⠉⠉⠉⠛⠒⠣⢬⣀⠀⠈⠀⠀⣿⡝⠁⠀ ⡀⡤⠀⡤⢼⣿⠦⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠙⢾⣄⢀⣻⠁⠀⠀ ⠙⢦⣠⢀⣤⠟⣒⣯⡇⠀⠀⠀⠀⠀⠀⡄⠀⠀⠸⡀⠐⡄⠀⠀⠑⢾⡾⡐⠀⠀ ⠀⠀⡼⠻⡆⣹⣭⡟⠃⠀⠀⠀⢠⠀⡇⢠⠂⠀⠀⣷⡀⢰⡀⠀⢠⠀⡙⢥⡀⠀ ⠀⢰⠁⡜⣄⠷⣏⠕⠀⢀⢀⢤⠞⢨⢣⠀⢳⡀⠀⡟⣇⠂⣧⠀⠀⠆⠈⡵⣬⢢ ⢣⠸⢠⢰⡀⡏⠁⠀⠀⠘⠁⠌⢨⠌⠀⠆⠀⠣⡀⡇⠘⡄⡏⡇⠀⢠⠀⣏⠌⠂ ⠀⠃⠀⢳⢴⢳⡀⠀⠀⢀⣌⣀⣜⣀⢄⠈⡄⠀⡗⡡⢀⣰⣃⠸⠀⢸⠀⠈⠆⠀ ⠀⠀⠀⢸⢸⠠⣺⡀⠀⢸⢡⠮⡇⢹⠳⠀⠘⣠⢻⣞⣟⠳⡈⠉⠃⠸⠀⢠⠀⠀ ⠀⠀⡄⢸⢸⢴⢼⢃⠀⠸⠈⠦⠅⠝⠀⠀⠀⠈⠈⠇⣈⡸⠃⢁⢆⡆⢀⠸⠀⠀ ⠇⢰⠁⠸⢸⢸⣜⡽⡄⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⡘⠀⢸⠀⠀⠀ ⢠⡟⠀⢂⢾⢸⠿⡷⠾⣄⠘⡀⠀⠀⡠⠖⠀⢤⠀⠀⠀⠀⣰⢥⡇⠀⠘⣷⡀⠀ ⢾⠃⠀⣈⠖⠁⠰⠀⠀⠈⠣⡗⢦⣄⡘⠂⠀⠊⢀⡀⠤⠊⢠⠇⢳⠀⡇⢡⠁⠀ ⠈⠀⠰⠁⠀⠀⠀⠀⠀⠀⠀⠃⠀⠪⡢⡉⢹⠛⢴⡀⠀⠀⠊⠀⢸⠌⠈⠺⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣮⣺⢠⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⢀⡞⠀⡘⠁⠀⢀⡼⠀⣎⠀⠀⠀⠀⠀⡄⡀⢸⡄⠀⠀⢑⠀⠈⢧⡈⠉⠁ ⠀⣀⡟⠀⠀⠇⣀⡀⣾⣇⣰⣿⠀⠂⠀⢰⢠⠅⡇⢸⣧⣀⡀⠀⠆⠀⠸⣇⠀⠀ ⠀⣼⠁⠀⢸⠁⠀⣼⣿⠀⣼⣿⡀⠀⠀⠈⠆⢠⣧⢸⣿⣧⠀⠈⢱⠀⠀⢿⣆⠀ ⢰⡇⠀⠀⠈⠀⣰⣿⣿⡄⣿⣿⡇⠀⠀⡟⠀⢸⣿⢸⣿⣿⣆⠀⠘⡄⠀⢸⠘⣤ ⢸⠀⠀⠀⣠⢴⠿⢛⣛⣷⢿⣿⣿⡀⠘⠀⠀⣿⣿⣿⢿⣟⡛⢧⠄⣧⠀⠸⠀⢸ ⠘⠀⠀⠘⡛⠆⣼⠋⢱⠙⢷⣸⣿⣷⡀⡄⠀⣿⡏⣴⠟⢻⠿⣷⣄⠉⡄⠀⠀⠘ ⠀⠀⠀⢸⣷⠀⢿⡀⠸⠀⣼⣻⣿⣿⣧⣷⣠⣿⣧⢻⡄⠛⢀⣸⠉⣴⣇⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⣶⠷⠖⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠛⠻⠿⣶⣷⣿⣿⡿⡆⠀⠀ ⠀⠀⠈⡟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⡇⠀⠀⠀ ⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀ ⠀⠀⠀⠀⠟⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠃⠀⠈⠂⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠉⠀⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⠀⠬⣷⡦⢄⣀⠀⠀⢀⣠⢤⢶⡅⠀⠀⠀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠤⠤⠤⠤⢬⠬⡇⠀⠀⠀⠀⠀⠀⢸⠭⠤⠤⠤⠤⢼⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⡠⠤⠀⠄⠀⠀⠒⠒⠠⡀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠎⢀⡴⡆⢘⠴⠊⠉⠑⠂⡈⢉⠁⠚⠌⣰⠒⢕⢄⠀⠔⠀⠀⠀⠀ ⠀⠀⠀⠔⠃⣠⣃⠆⠉⠁⠀⠘⢀⠀⠀⠘⡀⢂⠈⢂⠀⠑⢤⠓⣌⠓⠀⠀⠀⠀ ⠀⠀⠀⢀⠚⡤⠋⠀⢀⢁⣠⡇⢸⡄⠀⢀⢸⡞⣦⠠⠆⠀⠀⠙⢤⢵⠁⠀⠀⠀ ⠀⢀⠀⢧⣸⠀⠀⠀⡺⠁⡜⠀⠿⡇⠀⢸⢸⠐⡎⢣⢸⠠⠀⡄⠲⠹⢦⠀⠀⠀ ⠀⠀⠠⠅⡜⠰⠀⢀⣇⠰⠀⣴⠀⠃⢀⠃⡄⣀⢕⣀⢢⢆⢣⠀⠀⢡⠘⠀⠀⠀ ⠀⠀⡙⢂⠃⡆⠀⣸⣹⣦⣾⡿⡀⢰⠁⡐⠀⢞⣻⢯⡍⢛⢾⡇⠀⡀⢃⠃⠀⠀ ⠀⠀⠈⠛⣀⡜⢀⡟⡁⣴⢻⡿⡆⢸⠜⠀⠀⠸⣽⢳⠇⠀⣿⠁⢃⠗⢄⡜⠀⠀ ⠀⠀⠀⣷⡿⠀⡌⠀⠀⠈⠛⠞⠁⠀⠀⠀⠀⠀⠀⠁⠀⠀⡏⡇⠈⡾⡀⠙⢧⠀ ⠀⠀⢰⡏⣇⠈⠀⢸⠀⠀⠀⠀⠀⢀⣠⣤⣄⡀⠀⠀⠀⢰⣿⣷⢀⢡⠱⡀⠀⠀ ⠄⠀⢸⢁⣿⠀⠀⢸⣣⡀⠀⠀⠰⠋⠀⠀⠀⠙⡄⠀⣠⣿⣿⣿⢸⣾⡀⢣⠀⠠ ⠀⠀⡏⢸⡟⡇⡄⢸⠻⡿⣦⣄⣐⢄⣀⣀⣠⣴⣤⣾⡿⠛⢿⣿⣾⣿⣷⣧⢡⣂ ⠀⢰⢱⠟⠰⠝⣷⡄⡤⠊⠈⠫⠙⢻⠉⠉⡩⡪⠒⡿⠣⠤⡼⠿⣁⠀⢹⠿⣆⠣ ⠀⠈⡜⠀⠂⠀⢈⡯⠿⣀⣀⡔⡻⢉⠷⠚⠉⠀⡐⠑⡤⠊⠀⠀⠀⠳⡹⠢⠘⠆ ⠀⠀⠀⠀⠀⡐⠁⡀⠀⢀⡟⣴⢵⠋⢹⢆⠀⡴⡃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⢀⣤⠖⠚⠀⠀⠀⠀⢠⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⡀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠈⠉⠲⢤⣤⣄⡀⠀⠈⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⢠⡎⠀⢀⡟⠀⠀⠀⠀⠄⠀⠀⡇⠀⠀⠀⣇⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠙⢷⢀⠀⢈⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠀⠀⢠⠆⠀⠀⠀⣴⠏⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⡆⡀⠀⠀⡿⣧⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠈⣿⣄⡼⠸⢿⣿⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⣰⠃⠀⠀⢀⣾⡟⠀⢀⣿⡇⠀⠀⠀⠀⢸⠀⠀⣰⠁⡇⠀⠀⣻⡜⣧⡀⠀⠀⠈⢇⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⣀⣈⣻⣧⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⢰⠃⠀⠀⢠⡟⡽⠁⠀⡼⣹⠀⠀⠀⠀⠀⣸⠀⠀⡟⢠⣷⣀⣀⣧⣹⣾⣧⡀⠀⠀⠘⣆⠀⠀⠀⠆⣄⠀⠀⠙⠢⠖⣧⠀⠈⢿⣧⠀⠀⠀⠀ ⠀⠀⠀⢲⣤⠞⠁⠀⠀⠀⢠⡏⠀⠀⢀⣾⣴⡗⠒⢺⣷⣿⠀⠀⠀⠀⢠⡇⠀⣸⠁⢘⣿⠉⠀⡇⢠⠘⣯⠉⠓⠦⣄⢹⣆⠀⠀⠀⠸⡆⠀⠀⠀⠀⢻⠀⠀⢸⣿⣧⠀⠀⠀ ⠀⠀⠴⠋⠁⠀⠀⠀⠀⠀⡞⠀⠀⢠⡟⢁⣾⠀⠀⣿⡟⣿⠀⠀⠀⠀⡼⠀⢠⠏⠀⣼⢹⠀⠀⡇⠀⢳⡌⣧⡀⠀⠈⠙⣿⡄⠀⠀⠀⢱⠀⠀⠀⠀⢸⠦⣤⢼⡇⠹⡄⠀⠀ ⠀⠀⠀⠀⣀⡼⠀⠀⠀⢠⠇⠀⠀⢸⠀⡾⡇⠀⢰⡟⠀⡟⠀⠀⠀⢠⠇⢀⠏⠀⣰⡇⠸⠀⢰⠃⠀⠀⠹⣌⢷⠀⠀⠀⢻⢻⡀⠀⠀⠈⡆⠀⠀⠀⢸⠀⠀⠸⢷⣄⣠⠀⠀ ⠒⠂⠀⠀⠹⠀⠀⠀⣴⣿⠀⠀⠀⡏⣼⠁⡇⠀⢸⠃⠀⣧⠀⠀⢠⠏⣠⠏⠀⢀⣿⠎⢸⠀⣾⠀⠀⠀⠀⠈⢿⣧⠀⠀⢸⡄⢧⠀⠀⠀⢿⠀⠀⠀⢸⡄⠀⠀⠀⠹⡇⠀⠀ ⠀⠀⠀⠀⠂⠀⠀⢰⠋⡘⠀⠀⣸⣿⠃⠀⡇⢀⡏⠀⠀⢻⠀⢠⣎⡾⠁⠀⢀⣼⠋⠀⢸⢠⠇⠀⠀⠀⠀⠀⠈⢿⡆⠀⢸⢷⡸⡇⠀⠀⢸⠀⠀⠀⠀⠛⢶⡆⠀⠀⡟⠀⠀ ⠀⠀⠀⡞⠀⠀⠀⣼⠀⡇⠀⠀⣿⡏⠀⠀⡇⢸⠃⠀⠀⢘⣴⠟⠋⠀⠀⠀⣼⠇⠀⠀⣼⣾⣀⣤⠤⠀⠀⠀⠀⠀⢱⠀⢸⠈⢷⣽⡀⠀⠈⡆⠀⠀⠀⠀⠈⢻⠀⠀⠁⠀⠀ ⠀⠀⠀⠁⠀⠀⢀⡏⠀⡇⠀⠀⣿⡅⣀⣦⣿⣾⣀⣑⠖⠫⣇⠀⠀⠀⠀⢰⠇⠀⠀⠀⣿⣿⣷⣶⣿⣿⣿⣷⣶⣶⣯⣷⡴⠀⢹⣷⣧⠀⠀⡇⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⢠⠀⠀⡿⣿⠻⠉⠹⡿⣿⣻⣿⣷⣾⡄⠀⠀⢀⡟⠀⠀⠀⢠⡿⠟⠋⠹⣶⣶⣤⣀⠀⠀⠀⠹⣿⠆⠀⢻⢻⡆⠀⡇⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⡇⠀⢸⠀⠀⡇⢿⠀⠀⣴⣄⣼⣿⣿⣯⠳⢻⡄⠀⣼⠁⠀⠀⠀⠀⠀⣰⣷⣴⣿⡿⠿⣿⣧⠀⠀⠰⣿⠀⠀⡼⠀⢳⢠⠁⠀⠀⠀⡀⠀⠀⢹⡀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⢷⠀⠘⡆⢸⠀⠘⠄⠰⣿⠉⢰⣿⣔⣿⡆⠀⠳⣀⡇⠀⠀⠀⠀⠀⠀⣿⡿⢀⣿⣧⣄⣻⣿⠀⠀⢠⠃⠀⢀⡇⠀⠈⣿⠀⠀⠀⠀⡇⠰⡄⠸⣇⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⣷⡸⠀⠀⠀⠀⢻⣶⠼⠛⢯⣽⠃⠀⠀⠹⠅⠀⠀⠀⠀⠀⠀⠘⣿⡞⠋⠛⢯⣬⡿⠀⠀⠀⠀⠀⢸⠇⠀⠀⠋⠀⠀⠀⠀⡇⢠⡿⡄⢻⣦⠀⠀ ⢀⠀⠀⠀⠀⠀⡇⠀⢧⢠⠈⢳⡇⠀⠀⠀⠀⠙⢦⣀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⠴⠾⠋⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⡀⠀⠀⢠⣧⡞⡆⠙⣦⢿⠀⠀ ⠉⠁⠀⠀⠀⠀⡇⠀⠈⢿⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡃⠀⠀⣼⣿⡇⣿⣠⣿⣿⣧⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠈⡇⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡀⠀⢠⣿⡛⠁⡿⠃⢸⢻⠈⠃ ⠀⠀⠀⠀⠀⢺⠀⠀⠀⠸⠅⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡇⠀⣸⣯⠇⢰⠃⠀⠈⣿⠀⠀ ⠀⠀⠀⠀⠀⣾⠀⠀⠀⢀⠀⠀⣾⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⡇⢠⡟⣉⡴⠋⠀⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⢠⠇⠀⠀⠀⠸⠀⠠⡏⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢸⣇⣶⠟⠁⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⠸⠀⠀⢠⠄⠀⠀⢸⠇⢸⠉⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠀⠀⠀⠀⢿⣿⡿⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⢸⣆⡞⠀⠀⠙⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢴⣋⣸⣿⠀⠀⠀⢠⡿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣇⠀⠀⠀⢸⣿⠃⠀⠀⠀⢀⣈⠙⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠻⣷⣦⡄⠉⢹⠀⠀⠀⣼⠀⣿⣤⠴⢦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⡇⢸⡀⠀⡀⢸⡟⢀⣠⠤⣴⠃⠀⠉⠳⢄⠈⢻⡑⠲⠦⠤⣄⣀⣀⣠⡤⠴⠶⠒⠉⠁⠀⠀⢀⣽⠁⢹⡀⣸⡇⠀⢰⠇⡰⣿⠀⣀⣼⣷⣄⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢃⢀⡇⠀⢧⠀⢹⢸⣿⠁⠀⠀⡏⠀⠀⠀⠀⠈⢡⣶⡿⢿⣿⣿⠋⠀⡜⣆⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⣹⣿⠀⠀⣿⣿⣠⠾⠋⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣨⡇⠀⠈⣧⠈⠐⢿⡀⠀⢀⣇⣀⡀⠀⠀⢀⣿⠃⠀⠀⢿⣿⠀⠀⠙⣎⠀⠀⠀⠀⣀⡴⠛⠁⠀⢀⡠⠀⣸⣿⡇⢠⣿⡟⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⡇⠀⢰⡟⢳⡄⣘⣇⠀⣏⣀⣀⠉⠑⠒⣾⠋⠀⠀⠀⣼⡏⠀⠀⠀⠘⢦⣀⡤⠚⠉⠀⠀⣀⠔⠋⠁⣰⡿⠁⢿⣼⣿⠃⢀⣤⠖⢺⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢳⡀⣸⠃⠀⠙⠶⣽⣴⠋⠉⠉⠉⠑⢲⣿⠀⠀⠀⠀⢸⡇⠀⠀⣠⣖⣿⣟⣖⣦⠀⠀⠈⠀⠀⠀⢰⣿⠁⠀⠘⣿⡿⠚⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠈⠹⡀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⣾⠃⢀⡴⡟⠻⠿⠿⠛⠙⢷⡀⠀⠀⠀⣰⣿⡏⠀⠀⠀⣿⠃⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢀⠁⠀⠀⠀⢀⣿⠀⠀⠀⠀⢀⣟⡴⠋⠀⡇⠀⠀⠀⠀⠀⣼⠓⣄⠀⢠⠏⣿⠀⠀⠀⠀⣿⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⢸⡟⠀⠀⠀⢀⣾⠋⠀⠀⠀⣿⠀⠀⠀⠀⣸⠏⠀⠈⠲⠃⣸⡏⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⢰⢄⠀⠀⠀⠀⠀⢀⡀⣤⣀⠲⠒⠒⠒⣂⠤⠄⡀⠀⠀⠀⠈⡀⠀⠈⢂⠀⠀ ⠀⠈⠀⡀⠀⠀⣠⠲⠁⠀⠀⠙⣦⣤⣤⢴⣶⣤⣀⣀⠁⠢⢀⠀⠀⠀⠀⠀⠂⠀ ⢀⠁⠀⠇⢠⠞⠁⡀⠀⢀⠤⠒⠻⠋⠋⠉⠉⠀⠀⡝⠉⢂⡄⣱⣷⡀⠀⠀⠘⠀ ⠘⠀⠀⢰⡧⠒⠋⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠑⢘⠔⢊⠀⠙⣿⣿⡆⠀⠀⠀ ⢀⠀⠀⠀⠑⣴⣤⠃⢀⠂⢰⡀⠤⠄⠀⠀⠀⠀⠀⢀⠀⠀⡆⠀⢊⢻⣿⠂⡜⠀ ⠘⡀⠀⠀⠀⣿⠁⠀⢸⠀⢸⠀⠀⡆⠀⠀⠀⡇⠀⢨⠀⠀⢰⠀⠘⡆⣿⠾⡇⠀ ⠀⠐⣄⣤⣾⣿⠁⠀⠀⠀⢸⠀⠀⢰⡀⠀⠀⢀⠀⢸⣤⣀⣈⡇⡄⣷⢸⠀⠐⠀ ⠀⢠⠋⠳⢯⣿⣄⠀⢠⠀⢨⣦⣤⣾⣷⠄⢰⠸⠀⢻⢿⢿⠿⣿⣾⡇⢸⡄⠀⠁ ⠀⠘⡀⠀⠈⢿⡟⠁⢸⡼⠻⠛⢛⡏⢳⠀⠉⠀⠀⢰⡀⠈⢀⠌⣾⠀⢸⡇⠀⠀ ⠀⡠⠃⣀⢴⡏⣧⠀⠀⡗⠘⠄⠀⠠⠊⠀⠀⠀⠀⠀⠈⠉⠀⠀⡿⠀⣸⡇⠀⠀ ⠀⢁⠔⠁⠼⠀⠙⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡄⢠⡷⠁⠀⠀ ⠀⠸⣸⠀⢣⠠⢦⠒⡠⡀⢗⢢⠄⣀⣀⣀⣀⣀⣀⠠⠄⢾⣷⣷⣡⡊⠄⠀⠀⠠ ⠐⢄⠈⠓⣿⣶⣿⣇⣞⠳⣌⢂⠡⣀⡀⢀⡹⠪⡀⠀⡤⠋⣰⣿⢻⠇⠈⠐⠄⠀ ⠒⠣⡁⠢⣙⣤⢬⣿⡺⠦⡄⣉⣀⣀⣈⣁⣘⣪⢤⢭⢔⢮⣿⢯⣽⢷⡄⠀⠀⠀ ⠀⠀⠹⡀⢾⢾⠻⠡⠗⢒⣛⡑⢾⡷⢼⣿⡷⢞⠛⣈⠭⠝⠊⢸⢠⣸⣤⡄⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⠒⠉⢁⢀⡞⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢢⡀⡄⠀⠀⠀⠀⠈⠙⣆⠈⠈⠑⣟⢲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠉⠀⢀⡾⠉⠘⠁⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠹⣴⡄⠀⠀⠀⠀⠀⠘⣦⣀⠀⠈⣷⣿⣤⡴⠋⠳⣄⠀⠀⠀⠀⠀⠀⠀⠐⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡾⠁⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡄⠈⢧⠀⠀⠈⢧⠀⠀⠀⠘⢞⣄⠀⠀⠀⠀⠀⠸⡍⠉⢙⣿⣿⠈⠙⢗⡶⣜⣧⠀⠀⠀⠀⠀⠀⠀⢁ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠋⠀⠀⠀⣴⠃⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⣜⣆⠀⠀⠀⠳⡀⠀⠀⠘⣾⡄⠀⠀⠀⠀⠀⢳⡀⣸⡿⠘⣆⣀⢴⣓⣒⡻⢤⣀⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡼⡁⠀⠀⠀⠸⠁⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠘⣜⡄⠀⠀⠀⢳⡀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠘⣿⣹⡇⣠⠿⠛⠉⠁⠀⠀⠀⠀⠈⠉⠓⠄⡀⠀ ⠀⠀⠀⠀⠀⢀⡼⢰⠇⠀⠀⠀⠀⠀⢠⠄⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡀⣿⣶⣤⡤⠤⠼⣷⠠⠤⠤⢽⣇⠀⠀⠀⠀⠀⢸⣿⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢ ⠀⠀⠀⠀⠀⡞⢀⡏⠀⠀⠀⠀⠀⠀⡸⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠖⡿⣏⣹⡿⡄⠀⠀⠀⢸⡄⢀⠀⠈⡆⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀ ⠀⠀⠀⠀⠈⢀⣾⠀⠀⠀⢰⠃⠀⠀⡇⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡆⢹⠻⣄⠁⠹⡄⠀⠀⢸⢧⠈⣧⠀⢿⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⣀⡤⠶⠒⠉⠉⠀⣀⣀⣀⣠⠤⢤ ⠀⠀⠀⠰⢀⡞⡟⠀⠀⠀⠸⠀⠀⠀⢇⢀⣀⣷⠀⠀⠀⠀⠀⠀⠀⠀⣧⢸⡄⢹⣰⠀⢳⠀⠀⠈⠘⣇⣿⣇⠘⡄⠀⠀⠀⣞⠀⢀⡠⠖⠋⢁⣀⡤⠴⠚⠋⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⢀⣇⡞⢰⡇⠀⠀⠀⢀⠀⠀⣸⢞⠉⢨⡿⡄⠀⠀⠀⠀⠀⠀⠀⣿⡈⡇⠀⢻⠀⢀⣧⣀⣠⣤⣼⣷⣜⣷⣇⠀⠀⠀⣹⡴⠉⣀⡤⠒⠉⠁⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⡾⣠⢿⠀⠀⠀⠂⢸⠀⠞⢩⢸⠀⢸⡇⢣⠀⠀⠀⠀⠀⠀⢸⡇⢧⢣⢠⡼⣻⣽⣿⣿⣿⣿⣟⠛⠛⢻⡏⠀⠀⠀⣯⣠⠞⠁⠀⠀⠀⢠⣾⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⢀⣿⢷⠃⣸⠀⠀⠀⠀⠘⡄⠀⠀⢸⡆⠀⣇⠘⢇⠀⡀⠀⠀⠀⣾⡇⠘⣿⠀⣻⢿⣿⣿⣿⣿⣟⠛⠆⠀⠘⡇⠀⠀⠀⢈⣷⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⢸⡿⡟⣀⣾⠀⠀⠀⡀⠀⣧⠀⠀⢺⣷⠀⢸⡀⠘⣆⢱⡀⠀⠀⣿⠇⠀⢹⡄⠁⠀⡟⡿⠿⠟⢋⣹⠃⠀⠀⡇⠀⠀⠀⣼⠀⣷⡀⠀⠀⠀⠀⠈⠛⢿⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡃⡟⠁⢸⠀⠀⠀⡇⠀⠘⡆⠀⢸⠟⣇⣼⣿⣭⣽⣤⣿⣄⠀⢹⠀⠀⠀⢷⠀⠀⠻⣷⠄⠀⠸⠋⠀⠀⣸⠁⠀⠀⡼⡃⢸⠁⠙⣦⣀⠀⠀⠀⠀⠘⢿⣄⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣧⠀⢸⠀⠀⠀⣿⠀⠀⠹⡄⣴⣾⡿⢿⣿⣿⡿⠿⠻⡎⠳⣼⡆⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⢠⡞⠁⣧⠏⠀⠀⣿⠋⣿⠒⠢⢤⢤⣤⣽⠓⠂⠀⠀⠀⠀ ⠀⣸⡿⢹⡄⢸⡆⠀⠀⢸⡼⡄⠀⠙⣶⢿⠀⠈⣿⣿⡿⢺⠀⠙⠂⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣏⣠⢺⡏⠀⢠⡏⠀⠀⢰⠇⡆⠹⡄⠀⢹⡀⠈⢻⣷⠀⠀⠀⠀⠀ ⠠⣻⢷⢸⠻⡌⡇⠀⠀⢸⣇⣷⡀⠀⠈⢳⣷⡀⠸⣧⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠉⠀⢸⡀⢠⠎⠀⠀⡆⢸⠀⢷⠀⢳⡀⠈⢧⠀⠀⢻⣧⠀⠀⠀⠀ ⠀⠃⠈⡇⠀⠙⢿⠀⠀⢸⠹⡜⣷⡀⠀⠀⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⠀⠀⠀⢀⡇⢸⠀⢸⠀⠈⢳⡀⠘⡆⠀⠀⡏⢧⡀⠀⠀ ⠀⠰⣷⡿⡀⠀⠈⡇⠀⢸⣄⣻⣿⣹⣦⡀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣸⠀⣾⡀⠘⡆⠀⠀⠳⣄⠹⡄⠀⢣⠀⢣⡀⠀ ⠀⢠⠇⠉⠻⢤⣀⣹⡄⢸⣿⣿⠹⣿⡎⢿⣶⡬⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⢹⢠⣿⣇⠀⣷⡄⠀⠀⠈⠳⣽⣆⢸⠀⠀⠱⡀ ⠀⡎⠀⠀⠀⠀⠀⠀⠹⣌⡿⣿⡄⣿⡇⠀⠙⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⡇⢸⣿⣿⡀⢹⢣⠀⠀⠀⠀⠀⠹⡷⣇⠀⠀⠑ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡇⡘⡇⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢻⠀⠀⠀⢀⡇⣾⣿⣿⣧⠀⠟⢧⠀⠀⠀⠀⠀⠸⣎⠳⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⣷⣿⠀⡆⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠞⠁⠀⢸⠀⠀⠀⢸⣧⣿⣿⢿⣿⣆⠠⠈⣆⠀⠀⠀⠀⠀⠘⣆⠈⢃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢹⡿⢸⠀⣷⣆⠀⠀⠀⣿⣷⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠋⠀⠀⠀⠀⢸⠀⠀⠀⢸⣹⣿⣿⡌⢿⣿⣄⠁⠘⣧⠀⠀⠀⠀⠀⠸⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⢸⣇⢸⠀⣼⣿⠁⠀⢀⣿⣿⣿⣿⣿⣷⣶⣶⣶⢴⣶⣾⠟⠉⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⢸⣿⣿⣿⣿⡈⣿⡿⠖⠒⠺⠦⣄⡀⠀⠀⠀⢹⢆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⢸⢻⢸⠀⠠⡍⠃⠀⢸⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡾⠟⣻⣿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠉⠳⡄⠀⠀⠏ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⡟⠀⡏⢸⢸⠀⠀⠀⠁⠀⣿⠸⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡷⠊⢹⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠐ ⠀⠀⠀⠀⠀⠀⠀⢠⡞⢸⡇⠀⡇⢸⢸⢰⠀⠀⠀⢠⡿⠀⣿⠸⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⢀⣠⠴⠚⣇⠀⠀⠀⡇⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠏⠀⣼⡀⢠⡇⣿⠸⡤⠀⠀⠀⢸⠁⠀⣘⣆⣻⣿⣻⣿⣿⣛⣁⠀⠀⠀⠀⠀⡴⠋⢁⣤⡾⡇⠀⠀⠀⣇⠀⡿⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠟⠀⠀⣯⣉⡽⠃⣿⢀⡇⠀⠀⢀⡶⠚⠉⠉⢉⣽⡿⠋⢸⣧⠀⠀⠉⢓⣤⣄⢀⣴⣶⠟⠋⠀⢣⠀⠀⠀⢸⣸⡀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⠀⠀⠀⠀⣠⠇⠀⢰⣯⣩⣿⣶⡄⠉⠘⡇⠀⠀⢸⠃⠀⠀⣰⢿⣿⠁⠀⠀⠈⠉⢹⣷⣼⣿⣿⡟⠉⠀⠀⠀⠀⢸⡀⠀⠀⠘⡇⣄⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠰⠋⠀⠀⢹⣿⣿⣿⣿⠇⠀⢸⠁⠀⠀⡎⠀⢀⡜⣱⣿⠃⠀⠀⠀⠀⠀⣌⣿⣿⣿⠝⠁⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⢹⣿⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠀⠀⠀⠀⢠⠚⢹⡋⠁⠀⠠⡜⠀⠀⢠⠇⣀⣞⣰⢿⠏⠀⠀⠀⠀⠀⠀⠈⣉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⣿⡆⣾⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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