Bear Characters Emojis & Text

Copy & Paste Bear Characters Emojis & Symbols 🥺🐻🐼✨ | 😊😠☀️🍀🌙🐻

Related Text & Emojis

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