Dinosour Emojis & Text

Copy & Paste Dinosour Emojis & Symbols 🦖🦕 | ☀️🍍🦕💗🐠🌺

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠃⠀⠀⠀⢈⢠⠠⠀⠀⠀⠀⡇⡀⠀⠀⠀⡼⠀⠀⢰⢠⠘⢄⣽⡾⠟⠿⣶⡅⡀⠃⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠀⡀⡄⠀⡰⠀⠀⠀⠀ ⠀⠀⢀⠸⢀⠀⢘⢈⠸⠀⠀⡀⠂⡆⡀⠀⡀⠀⡹⢀⠐⢸⠰⣰⡿⠋⠀⠀⠀⠘⣿⡇⢦⠔⢰⠀⠘⢀⠀⢈⠀⡀⠀⡁⡀⡀⡄⠀⣹⢄⠀⢀⠀ ⠀⠀⠆⠰⢼⠀⠸⠈⠰⠀⠀⠁⡧⡇⡄⡆⠉⠄⢑⣀⣴⣼⣼⣿⣥⣤⣄⣀⣀⠀⢸⣿⠆⠰⢾⢰⢰⠀⢰⣈⠄⡁⠂⡅⠀⡄⡁⠀⡹⠀⠀⢈⠀ ⠀⠀⠖⢲⢨⠀⢸⠈⠠⠀⠀⠁⣀⠇⣁⣵⡷⠿⠛⠋⠉⠉⠉⠀⠀⠉⠉⠉⠙⠛⠿⢿⣦⣄⡈⢀⣀⣨⣤⣬⣴⡁⣀⡃⠀⡁⠁⠀⠡⠈⠀⠘⠀ ⡄⠀⡄⢢⠈⠠⢸⠀⢰⠀⡠⢀⣴⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣟⠉⠁⠀⠙⣿⣄⡇⡄⡃⡀⠀⠳⠀⠠⠀⠀ ⡀⠀⡀⢠⠀⢀⢸⠸⠠⠛⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣄⠀⠀⣿⡇⡇⡁⠃⠇⠐⢣⠘⠘⠀⠀ ⠀⠀⠀⢠⠀⠀⢰⠸⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣀⣿⡥⡇⠃⠂⠃⠠⢎⠐⠀⠀⠀ ⠀⠀⡰⢌⢸⢀⢸⠐⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣏⠀⠇⠆⠂⠆⠀⢾⠑⠀⠰⠀ ⠀⠀⢁⡘⢛⢀⢺⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣖⠇⠄⠇⡄⠀⠎⢠⠈⢠⠀ ⠁⠀⢁⡘⢸⣀⣞⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠿⣶⣤⡀⠐⡞⢠⠠⢀⠀ ⠃⠀⠃⠘⠀⠘⢸⣿⠀⠀⢀⣴⣶⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣻⡇⢃⡜⢠⢘⠈⠀ ⠀⠀⠂⠜⢀⠴⢼⣿⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⣴⡿⡥⠄⡽⢄⠀⢀⠀ ⠀⠀⠆⠹⢹⠰⢸⣿⢰⠉⠙⢿⣿⣿⠿⠁⠀⠠⣶⣤⣄⣀⣀⣤⣴⡄⠀⠀⠘⠿⣿⣿⠿⠃⠙⡄⠀⠀⠀⠀⠀⠀⣿⡟⡉⡆⡁⠈⣱⠀⠀⢀⠀ ⠀⠀⠊⢰⣸⠸⣸⣿⠘⠲⠶⠤⠞⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠈⠢⠴⠶⠟⠀⠀⠀⠀⠀⠀⢠⣿⡁⠃⡇⠁⠀⠱⠈⠀⠈⠀ ⠄⠀⠔⢢⠘⢲⣨⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣕⢆⡃⡁⠀⢡⠘⠀⠘⠀ ⠀⠀⡄⢠⠘⢠⢹⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠈⢿⡇⡇⠇⠀⢣⠘⠘⠀⠀ ⠀⠀⡀⢠⠀⠀⢸⠼⠘⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣫⣤⣴⡿⠃⡧⠇⠠⢧⠀⠀⠀⠀ ⠀⠀⡀⢠⢄⠀⢰⠸⢹⠤⠙⢿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⢛⠹⠉⠏⡥⡆⡇⡇⠇⠀⢮⠱⠀⠰⠀ ⠀⠀⡡⢈⢹⠀⢨⠰⠈⠂⢁⠆⡈⡟⠻⢷⣦⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣿⢟⢉⢰⢘⠲⠉⠆⠋⡇⠀⠃⠆⠀⢞⠠⠀⠸⠀ ⠀⠀⢁⡘⠸⠀⢸⠠⢈⠀⠀⠀⠓⣇⡖⢇⣸⣿⠉⠙⢛⡛⠛⠛⠛⠛⠛⢛⠛⠛⠉⠹⣧⣼⡟⣈⢺⠀⠀⠀⠀⠄⠀⡇⠀⠆⡄⠀⢌⠠⠀⢀⠀ ⠃⠀⠃⠘⠀⠈⢸⢠⠘⣄⠀⠀⠀⡇⡇⡆⣾⣇⣀⠀⠈⢿⣆⠀⠀⠀⣴⠟⠁⠀⣀⠀⢻⣿⣶⡜⣼⣠⠀⢀⠀⠀⠀⡇⠁⡆⡆⠀⡌⢰⢠⠀⠀ ⠃⠀⠂⠐⢀⠔⢘⢠⠘⠀⠐⠀⠀⡧⡆⣳⡿⠈⠛⠻⠶⠾⠟⠀⠀⠀⠻⠶⠾⠛⠋⠀⠘⣿⣿⣿⣘⢨⠀⢠⠐⠀⠀⡇⠂⡀⡅⠀⡼⢀⠀⠀⠀ ⠀⠀⠀⠼⢠⠀⢸⢠⠸⠀⠀⡀⠆⡆⡌⣻⣧⣿⠻⣶⠿⣦⠀⠀⠀⠀⢠⡶⢶⡿⢻⣆⣀⢹⡿⣿⣷⣿⣶⣍⠀⡀⠀⡁⡀⡀⡄⠀⡹⢄⠐⢀⢀ ⠀⠀⠆⠸⢼⠀⠸⠈⠸⠀⠀⠁⡇⡇⡧⣿⡉⠋⣀⡠⡀⣿⡆⠀⠀⠀⣿⠃⡀⣀⡈⠋⣽⣿⠇⠀⠀⠙⣿⣏⠔⡁⠦⡅⠀⠁⠁⢀⠹⠈⠰⠈⠀ ⠄⠀⠎⢰⠰⠀⢸⠈⠰⠀⠀⠁⡀⡇⣇⡹⣷⡜⢄⣠⢃⣿⠃⠀⠀⠀⢻⡆⢧⣉⠜⣴⣿⣟⣠⣤⣴⡾⠿⢁⠐⠁⠀⡀⠀⠀⠀⠈⠁⠈⠀⠀⠀ ⠀⠀⠄⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠃⠃⣁⣘⢻⣷⣶⠿⢷⣶⣤⣤⣤⣤⣿⣶⣶⣿⣛⣟⣋⣉⢹⣨⣐⠀⠘⠀⠀⠀⠇⠀⠀⠀⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
🦖🦕
☀️🍍🦕💗🐠🌺

Related Text & Emojis

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⣼⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣸⠻⢏⡉⠀⠛⠒⠋⠙⢲⡔⢛⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠞⠙⣆⣠⠟⠀⠀⠀⠀⠀⠈⠳⠾⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣄⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣅⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⢲⣿⠷⠀⠀⠀⠿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⠃⠀⠀⢰⡤⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠷⢲⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢧⡀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠲⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡤⠽⠶⠤⠧⠼⠦⠤⠤⠴⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣿⣖⠚⠚⠛⠓⠒⠒⠒⠒⣾⠞⠁⠀⠀⠀⠀⠀⠀⠀⠰⡞⠋⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⠈⠙⢲⡄⠀⠀⢀⡤⠖⠋⠁⠀⠀⣤⣤⡾⠃⠀⠀⠀⠀⠙⠻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠓⢶⠚⠁⠀⠀⠸⢤⣀⣀⣠⣤⡜⢷⣼⠀⠀⠀⠀⠀⠀⠀⠀⠈⣦⠞⡇⠀⢀⣤⠀⠀⣀ ⣴⣄⣀⣿⠀⣀⠀⠀⣴⡄⠀⣸⡧⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠾⠓⠦⣼⣹⡶⢚⡿ ⣿⠞⠋⢹⡄⣿⣿⢾⣽⡷⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣠⠟⠁ ⢸⡄⠀⠘⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀ ⠀⢷⣤⣀⣿⣿⡿⢷⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣖⣀⡀⠀⣀⣀⣠⠤⠴⠚⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣦⣀⣠⡤⠤⠴⠒⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⣤⣤⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡼⠿⣿⣿⠉⠁⠀⠀⠀⠈⠉⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡴⠋⠀⠀⠘⢃⣀⣠⣤⣶⣶⣶⣟⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡞⠀⠀⠀⠒⠋⠉⠀⠁⠈⠉⠁⠀⠉⣩⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠛⣉⣉⣉⣉⣓⡲⠤⣄⡀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⣠⣤⠶⠒⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢁⣤⠖⠋⠁⠀⠀⠀⠀⠈⠉⠓⠻⣷⣦⡀⠀⠀ ⡇⠀⠀⠀⠀⠀⡟⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⠄ ⡇⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⡆⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠈⠙⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⢤⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢤⣄⠀⠀⠀⠀⠀⠀⢀⣀⣤⠴⠒⠋⠉⠀⠀⠀⣠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣟⠀⠀⠀⠀⠀⠀⠀⠀⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⣶⠀⠀⢰⣄⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⡴⠀⠀⠀⠐⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣦⡀⠀⠘⠲⠤⣄⣀⣀⣀⣀⠈⢳⡀⠀⢸⠁⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⣀⣠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠟⣦⣀⣀⣠⠤⠞⠋⠀⢀⡤⠾⠃⠀⢸⠀⠀⠀⠀⠀⠀⠈⣇⣀⡤⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⣏⣀⣿⣿⠉⠠⣴⣲⠖⢯⠁⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠸⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⡏⣿⣻⡄⠀⠸⣿⣟⣾⡗⣶⠤⣄⡀⠀⣇⠀⠀⠀⠀⠀⠰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠿⢷⡽⢷⠈⣆⣉⣸⢿⣤⡟⠀⢴⡟⠙⠿⣦⣀⠀⠀⠀⠀⠛⠒⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡬⠷⣷⠚⠉⠀⠀⠀⢹⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⢹⡀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢦⡀⠀⠙⢦⡀⠀⠀⠀⠈⠛⠒⠦⠤⠤⣤⡀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡏⠀⣠⠼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⡹⢁⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣴⠶⣶⡛⢤⠞⣩⣿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠃⡆⣄⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⣬⡿⠀⢻⡓⠊⣸⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⣏⡾⡇⣼⡄⠙⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣈⠉⠛⢉⡉⣛⢉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡿⡧⠛⠳⠤⠼⣾⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⣖⣤⣶⣿⣿⣿⣿⣿⣭⡶⠶⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⠉⠁⠒⠤⠀⡔⠄⠀⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⢋⣥⣾⣿⣿⣿⣿⣿⣿⡿⠛⠁⢀⣠⠔⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠛⠓⢤⡀⠀⠀⢀⣀⠈⠂⠉⠀ ⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠘⣿⣀⢻⡟⠉⣷⠀⠀⠀⠀⠀⠀⢀⡤⠎⠁⣀⣿⣿⣿⣿⣿⣿⣿⠟⢉⣠⣶⡾⠋⠀⠀⠀⠀⣀⣠⡤⢶⡾⠶⠀⠀⠀⠀⠀⠉⠶⣽⣾⣿⣷⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣬⣺⡟⠀⠀⠀⠀⢀⡴⠋⢀⣤⣾⣿⣿⣿⣿⣿⣿⡿⣣⣴⡿⠟⠁⠀⠀⣠⣤⣶⡿⠟⢉⣴⠋⠁⠀⠀⢀⡞⠀⠀⣦⠀⠙⢿⣿⣿⣿⣿⣦ ⠀⠀⠀⠀⠀⠰⡄⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⢀⣴⣯⣶⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⢿⠋⡀⣀⣤⣾⠿⣿⡿⢋⣴⣾⠟⠀⠀⠀⠀⣴⠋⠀⠀⠀⢹⣦⠠⢪⣻⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣻⢋⡞⣿⣿⣿⣿⣿⣿⣿⣷⣾⡿⠟⠉⣱⡾⣯⡶⣿⡿⠃⠀⠀⠀⢀⡼⠃⢠⣆⠀⠀⣇⣿⡆⡜⡏⢿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⡟⠁⠀⠁⣰⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⢠⣾⣿⠟⢡⣾⣿⠅⠀⠀⠀⣠⡿⠁⣰⣿⢸⢸⡆⣿⣿⣿⣼⣼⡈⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⣴⣿⠟⣹⣿⡏⠀⠀⠀⢰⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⣰⣿⡿⠃⢠⣾⣿⠞⠀⠀⡴⣷⣿⠅⠀⣿⣿⢸⣾⡇⢻⣿⣿⣿⣿⣇⠸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢰⡿⠁⣸⣿⡟⢠⢀⢠⢀⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⢰⣿⠟⠀⢠⣿⣿⡟⠀⢀⣼⣿⣿⡿⠀⢰⣿⣿⡟⣿⣇⢸⣿⣿⣿⣿⣿⠀⣿⣿ ⠀⠀⠀⠀⢰⡾⢶⣀⣥⣤⡀⠀⠀⠀⢰⡟⠁⣴⣿⣿⣧⡟⣾⢋⣼⣿⡿⠋⠀⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⣼⣿⣿⠀⢀⣾⣿⣳⡿⠁⠀⡇⣿⣿⣿⣿⣿⡸⣿⣿⣿⣿⣿⡀⢻⡏ ⠀⠀⠀⠀⢸⣇⠀⠻⣇⣸⡇⠀⠀⢀⡞⠀⣼⢿⣿⣿⣿⣹⡟⣾⡿⠋⠑⠦⠤⠤⣀⣀⣀⠤⣾⡿⠂⠀⢸⣿⣿⡇⢀⣾⡿⢱⡿⠁⠀⠐⠁⣿⣿⣿⣿⣿⣇⣿⣿⣿⣿⣿⡇⢸⡇ ⠀⠀⠀⠀⠀⠙⢷⣴⠟⠋⠀⠀⠀⡾⠀⢰⠃⢈⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡏⠀⠀⠀⢸⣿⡿⢀⣾⡿⣇⡾⠁⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⢰⠇⠀⠸⢸⣿⣿⣿⢋⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠸⠃⠀⠀⠀⢸⣿⡇⣾⡿⠁⡸⢣⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣠⠏⢀⡀⠀⣸⣿⣿⡏⢀⣹⣶⣶⣶⣿⣯⡒⢆⡀⠀⠀⠀⠀⠀⠀⢸⣿⢳⡿⠀⢰⠇⠀⠙⢦⡀⢀⠀⠀⠸⣿⣿⣿⡿⣿⣿⣿⣿⣿⡃⣼⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⣠⠞⠀⣼⢿⣿⣿⣱⡿⠋⠁⢠⣴⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠙⢮⡄⠀⠀⢻⣿⣿⣿⢿⣿⣿⣿⣿⠀⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⣁⠞⠁⢀⣾⣿⢸⣿⡿⡿⠀⠀⣰⣿⣿⣿⣿⡟⢻⡇⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣀⠈⢿⣿⣿⠈⣿⣿⣿⣿⢠⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⢀⣴⣿⣿⣿⣾⣿⣿⠃⠀⢠⡟⠉⠙⠛⢻⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠸⠃⠀⠀⠀⠀⢠⣤⣀⠀⡀⠀⠀⠀⠙⠚⢿⣿⣧⠸⣿⣿⣿⣾⣷⢰ ⠀⠀⠀⠀⠀⠀⢀⣴⡿⢛⡥⢀⣴⣿⣿⣿⠟⠀⢹⣿⣧⠀⠀⠘⢇⠀⣀⡀⣸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣿⣿⣷⣿⣤⡀⠀⠀⠀⠈⢿⣿⣆⠸⣿⣿⣿⣿⣾ ⠀⠀⠀⢀⣠⠾⠋⢉⣴⣫⣶⣿⣿⡿⠋⠁⠀⠀⠀⣿⣿⡄⠀⠈⢿⡀⠈⠉⢁⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣷⣧⡀⠀⠈⢻⣿⣆⠹⣿⣿⣿⣿ ⠀⠀⠀⠈⢱⣄⣾⣯⣿⣿⠟⠋⠀⠀⠀⠀⠀⣠⣼⠃⠙⢷⠀⠐⠚⠿⠖⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠛⠿⢿⣿⡏⢙⡏⠻⣿⣆⠀⠀⠻⣿⣷⣿⣿⣿⣿ ⡀⠀⠀⣠⣿⣿⣿⠟⣹⣵⣤⣤⣤⣤⣤⣤⡼⢿⡏⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡃⠀⠀⠀⠀⢘⣿⣿⠇⠀⠹⣿⡆⠀⠀⢸⣏⣿⣿⣿⣿ ⣡⣴⣾⣻⣿⠟⣩⣾⣿⣿⣿⣿⣿⣿⣿⡏⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣳⠀⢤⣀⣠⠞⢉⡿⠀⠀⠀⢹⣷⠀⢀⣾⣾⣿⣿⣿⣿ ⣿⣿⢣⣿⣗⣼⣿⣿⡿⠿⢿⡟⠛⠛⠛⣷⠞⠋⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⣸⠇⢀⣾⣾⣿⢿⣿⣿⣿ ⣿⣿⠠⣿⠿⣿⡁⠈⠀⠀⠀⠑⣄⣠⠞⠁⠀⠀⠀⣀⡹⠶⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣒⠖⠋⠁⠀⠀⠀⠀⠞⠁⣰⣿⣿⠟⢡⣿⡿⠋⠀ ⡋⠙⣸⠃⠀⠈⠻⣦⠀⢀⡴⣶⠟⠁⠀⠀⣀⡴⠚⠁⠀⠀⠀⠙⣆⠀⠀⠀⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⢟⡥⣺⣿⠟⠀⠊⠀ ⠀⠀⠃⠀⠀⠀⠀⢈⡿⠋⣰⠇⠀⠀⠐⠚⠁⠀⠀⠀⠀⣠⠴⠛⠋⠓⣆⠀⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣛⣻⠵⠚⢁⡴⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠀⠀⠀⠀⠀⢸⣦⠀⠈⠳⠤⠴⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠊⠉⠉⠀⢀⣤⠶⠭⠄⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠋⠁⠀⠀⠀⠀⢀⣀⣀⠐⠃ ⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⡎⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠖⠋⠀⢀⠀⠀⢸⠀⠀⠀⡤⠤⠤⣤⡴⠒⠒⠒⢦⡖⠒⠲⠤⣄⣀⡀⠀⣀⣤⣾⡋⠉⠓⠶⠖⠚⠛⠉⠁⠀⠀⠀⢀ ⠀⠀⠀⡸⠁⠀⠀⠀⠀⠀⠀⡇⠀⠈⢣⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣦⡞⠀⢠⡞⠀⠀⠀⠈⡇⠀⠀⠀⢸⠇⠀⠀⠀⡇⠈⠉⠙⢿⣿⣿⣿⣆⠀⠀⠀⠀⢠⠀⠀⣠⣀⣠⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡇⠀⡇⠀⢸⡓⢤⡀⠀⠀⠀⠀⠀⠀⢀⡴⢻⠉⢹⣿⠇⠀⠀⠀⠀⡇⠀⠀⠀⡸⠀⠀⠀⢰⡇⠀⠀⠀⢸⣿⣿⡿⠟⠳⠤⠖⠶⠤⣤⣴⣿⣌⢿⣿ ⠀⠀⠀⠀⠀⠀⢀⠴⠋⠉⠁⡇⠀⠀⠀⠀⠇⠀⠉⠑⠶⢤⡤⠴⠞⠉⠄⣼⣠⠾⠿⠀⠀⠀⠀⠀⠃⠀⠀⠀⠃⠀⠀⠀⠸⠁⠀⠀⢰⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⡹ ⠠⠂⠀⠀⠀⠀⢸⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣲⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠙⠓⠤⢤⣤⣀⣀⣀⣀⣀⣠⡤⢖⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⢀⠀⠀⢀⡔⠉⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⢲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠖⠒⠛⠉⠉⠉⠛⠻⢦⡀⠈⡇⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣿⠀⡏⡬⣍⣲⡤⠤⠤⠤⠤⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡤⠖⠚⢉⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⡧⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⣀⠀⠀⠀⠀⠀ ⠙⣷⠅⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠤⠤⢄⣀ ⠀⠘⣦⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⠋⠀⠠⡇⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡈⡆⡟ ⠀⠀⠈⡏⠀⠀⠀⠀⠀⠀⠠⣿⣷⠀⠰⡏⢻⠉⠀⢸⡀⠀⠀⡇⠀⢹⣿⢆⢀⡀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠟⡼⠁ ⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠸⣸⡆⠀⠀⠁⠀⠀⡇⠀⢰⡇⠈⠉⠛⠂⠸⣿⠆⠈⠁⠀⠀⠀⠀⠀⡟⠀⠀ ⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀ ⠀⠀⠀⠀⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠢⠧⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠛⠿⣦⣀⣀⣠⣤⣤⠖⠀⠀⠀⠀⠀⠐⢦⣳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣰⡿⠃⠀⠀⠀⠀⠀⠀⢢⠀⠈⠉⢻⡗⠂⠀⠀⠀⠀⠀⠀⠙⠲⣶⠦⠤⠔⠚⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣻⠁⠀⠀⠀⠀⠀⠀⠀⠈⣉⣙⠚⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢱⡟⠲⡴⠒⠲⠆⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡞⠻⡄⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠢⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⡸⠻⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⠙⠚⠛⢳⡤⣦⣄⣰⣴⠶⠶⠴⠶⠼⠷⠶⠤⠤⠤⠤⠤⠦⢴⡋⠉⠁⣰⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠛⣷⡄⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠻⣿⣿⢶⣤⣀⠀⠀⠀⢀⣾⠟⠀⠀⠘⢿⡆⠀⣠⣴⠿⣻⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⡈⠻⣷⣄⠀⣼⡟⠀⠀⠀⠀⠸⣷⣼⠟⠁⣴⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣤⣄⣀⠀⠘⣿⡀⠈⠻⣷⡿⠀⠀⠀⠀⠀⠀⢹⡇⠀⣸⡟⠀⠀⠀⣀⣠⣤⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠻⣿⣟⠿⣿⣿⡄⠀⢸⡇⠀⠀⣤⣿⣦⠀⠸⣿⢰⣿⣤⣴⠿⠛⣻⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠉⠛⢷⣼⡇⠀⣴⠟⠁⢻⣧⡀⣿⡾⠟⠁⠀⣠⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣧⠀⠀⠙⢷⣾⡟⠀⠀⠀⢻⣿⠟⠁⠀⢀⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⣀⠀⠀⢻⣧⠀⠀⢸⣿⠀⠀⠀⠀⠀⢿⡆⠀⢀⣾⠋⠀⢐⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣦⣅⣿⡆⠀⢸⡿⠀⠀⣀⠀⠀⢸⣇⠀⣼⣯⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣝⠻⣷⣄⢸⡇⢀⣾⠿⣷⡀⠘⣿⣴⠟⠋⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣏⠉⠹⣿⣇⣾⠏⠀⠹⣧⣰⡿⠃⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣶⣤⣿⣆⠀⠘⢿⣿⠀⠀⠀⢿⡏⠀⢀⣾⣧⣶⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡝⠻⢷⣤⣸⡧⠀⠀⠀⢸⣧⣴⠟⢋⣴⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠙⠿⠷⠀⠀⠀⣿⠟⠁⢠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⢿⡿⣿⠿⠿⠿⠿⠿⠿⣿⣷⠿⠾⢿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠋⠀⠀⣽⣏⠀⠀⠀⠀⠀⠀⣸⢷⣄⠀⠀⠉⠛⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣶⠻⡅⠀⠀⣠⡞⠁⠙⢧⠀⠀⠀⠀⡼⠃⠀⠙⢷⣄⠀⣼⠁⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠁⠀⢿⣄⡾⠋⠀⠀⠀⠈⢳⣄⢀⡾⠁⠀⠀⠀⠀⠙⣷⣏⠀⠀⠈⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⡟⠀⠀⣀⡶⢻⡀⠀⠀⠀⠀⠀⠀⣹⣿⡀⠀⠀⠀⠀⠀⢠⡟⠈⠛⢦⣀⠀⢹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⣟⠀⣠⡴⠋⠀⠀⠙⣦⠀⠀⠀⢀⡴⠋⠀⠙⢦⡀⠀⠀⣰⠟⠀⠀⠀⠀⠉⠛⣾⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⣿⡽⣟⠁⠀⠀⠀⠀⠀⠈⢷⣄⡴⠋⠀⠀⠀⠀⠀⠙⢦⣴⠋⠀⠀⠀⠀⠀⠀⢰⡏⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⠃⠀⠸⣦⠀⠀⠀⠀⠀⢀⡴⠿⢧⡀⠀⠀⠀⠀⠀⢀⡼⠙⠳⢤⡀⠀⠀⠀⢠⡏⠀⠀⠈⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⡟⠀⠀⠀⠘⢧⡀⠀⢀⡴⠋⠀⠀⠈⠹⣦⡀⠀⢀⣴⠏⠁⠀⠀⠀⠙⠲⢤⣠⡏⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠃⠀⠀⠀⠀⢈⣿⣾⠋⠀⠀⠀⠀⠀⠀⠀⠛⣦⡞⠁⠀⠀⠀⠀⠀⠀⠀⣤⠟⠓⠦⣤⣀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⣀⡤⠖⠋⠀⠙⢷⡀⠀⠀⠀⠀⠀⣠⠞⠁⠙⠳⣤⡀⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠈⠙⣳⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠷⣏⠉⠀⠀⠀⠀⠀⠀⠙⢦⡀⢀⣰⠞⠁⠀⠀⠀⠀⠈⠙⠶⢤⣠⠟⠀⠀⠀⠀⠀⠀⠀⣰⠏⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠹⣆⠀⠀⠀⠀⠀⠀⢀⣠⠟⢯⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠓⢶⣄⡀⠀⠀⠀⡼⠃⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡆⠀⠈⢳⡄⠀⣀⣤⠞⠋⠁⠀⠀⠉⠳⣄⡀⠀⠀⠀⣠⡞⠃⠀⠀⠀⠀⠀⠉⠛⢳⣾⣥⣀⡀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣷⣀⣀⡤⠾⢿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢳⣤⣞⠃⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⢹⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⡏⠁⠀⠀⠀⠙⢶⣀⠀⠀⠀⠀⠀⢀⣠⠶⠋⠁⠉⠳⠦⣄⣀⠀⠀⠀⣠⠟⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣷⡄⠀⠀⠀⠀⠀⠉⠳⣦⣀⣤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠉⢙⣶⢾⣥⣀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣧⡀⠀⠀⠀⣠⣤⠖⠛⠙⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠈⠙⠛⢳⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣷⣶⡛⠉⠁⠀⠀⠀⠀⠀⠀⠉⠳⠦⣄⡀⣀⡴⠞⠉⠀⠀⠀⠀⠀⠀⢀⡴⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣙⢦⣄⡀⠀⠀⠀⠀⠀⠀⢀⣀⡼⠛⠛⠶⢤⣀⣀⠀⠀⠀⣀⡴⢋⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣦⡈⠙⢦⣄⣀⣠⡴⠚⠋⠁⠀⠀⠀⠀⠀⠈⠉⢛⡶⠾⣧⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣾⡛⠙⠳⢦⣄⡀⠀⠀⠀⠀⢀⣠⡴⠚⢉⣠⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠷⣦⣄⣀⣉⣻⣶⢴⣞⣋⣠⣴⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡷⣤⡤⠤⠒⠚⣿⣀⣼⠷⢤⣄⡀⣀⣴⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⣿⠈⠓⢦⡀⠀⠀⠉⠁⠀⠀⠈⣿⠁⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠟⠁⢸⣆⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠙⠓⠛⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡏⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠋⢉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⢀⣀⣤⡄⠀⠀⠀⠀⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⠏⠸⠿⠟⠃⠀⠀⠀⠘⠻⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡟⠀⠀⠀⠀⢧⡠⠷⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⠓⢲⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⡄⠀⠀⠀⢸⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠧⣤⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠙⠦⣄⣀⢸⡇⠀⡇⠀⠀⢀⣀⣀⣴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣯⣉⣉⣉⣉⣉⣉⣉⣉⣉⡉⠙⠛⣿⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⣯⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣹⣿⠞⠁⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢙⡏⠁⣸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠻⡇⠈⠙⠳⣦⠀⠀⠀⠀⢀⣤⠶⠚⠉⠀⠀⠀⣠⣤⣠⣴⠟⠀⠀⠀⠀⠀⠀⠙⠚⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⣶⣀⣴⠟⠀⠀⠀⠀⣿⡁⠀⠀⠀⢀⣀⣀⣿⣉⣻⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⣠⢾⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⢀⡀⠀⠀⣹⠀⠀⠀⠀⠀⢀⠈⠉⠉⠉⣿⠉⣩⣧⠀⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⢀⣾⠀⠀⢠⡿⣇⣀⣀⣼⡆ ⣼⡷⣄⣤⢿⠀⢠⣤⡀⠀⣾⣿⠄⢀⣲⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠉⠉⠛⢿⣄⣿⠫⣠⡿⠁ ⣿⡟⠋⠁⢸⡇⠸⣿⣿⠿⣮⣽⡶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀ ⢹⡇⠀⠀⠘⣿⣿⣿⢸⡷⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠁⠀⠀⠀ ⠀⢻⣄⠀⠀⣿⣾⣿⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡴⠖⠋⠀⠀⠀⠀⠀⠀ ⠀⠘⠛⠓⠒⠚⠛⠛⠛⠙⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡤⠖⠚⠛⠷⠶⠤⠤⠤⠴⠖⠒⠚⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠦⠤⠴⠶⠒⠒⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⢀⣾⡿⠋⠉⠁⢠⣿⠏⢁⣿⣿⣿⠏⠉⢸⣿⡏⠉⢻⣿⣿⡇⠈⠙⢿⣿⣿⣿⣷⡆⠀⠀⢇⠢⣈⡒⡤ ⣿⣿⣿⣿⣿⣏⣴⡇⠀⠀⠀⢠⡿⠋⠀⠀⠀⣰⣿⠋⠀⣼⣿⣿⠏⠀⠀⡾⣿⠁⠀⠀⣿⣿⣷⠀⠀⠀⠹⣿⣿⣿⣿⣄⢀⣿⣷⣿⣶⣶ ⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⢠⡟⠁⠀⠀⠀⢰⣿⠇⠀⢰⣿⣿⡷⠀⣀⣜⣁⣻⣀⣀⣀⣸⢻⣿⡇⠀⠀⠀⠘⣿⣿⣷⠹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠃⠀⠀⣠⣿⠀⠀⠀⠀⢠⣿⡏⠀⢀⣿⣿⡿⠛⣩⣿⠿⠛⢻⡏⠉⠉⢹⠉⢿⣿⡀⠀⠀⠀⠹⣿⣿⡆⠙⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡏⠀⠀⣰⣿⡟⠀⠀⠀⢀⣾⣿⠀⠀⣸⣿⡿⢥⣶⠝⠁⠀⠀⠀⡇⠀⠀⡜⠰⡀⢻⡇⠀⠀⠀⠀⢿⣿⣿⠀⠸⣿⣿⣿⡿ ⣿⣿⢿⣿⣿⡃⠀⣼⣿⣿⡇⣀⣀⣤⣾⣿⡇⠀⠰⣼⡟⣠⠎⠁⠀⢀⣠⠔⠁⢹⣀⣠⣧⣶⣦⣤⣷⣤⣤⣠⣤⠼⣿⣿⡆⠀⢹⣿⣿⣿ ⣿⣿⣿⣿⣿⠀⣼⣿⣿⣿⣏⣁⣼⣿⣿⣿⠀⢠⣾⣟⡔⠁⠀⠀⠀⢸⠁⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⣿⣿⣇⠀⠀⣿⣿⣿ ⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣟⣹⣿⣿⣿⡿⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⢰⣾⢟⣻⡿⠛⢻⢋⣻⣏⣱⠞⠙⣄⡀⠀⣿⡽⣿⠀⠀⢸⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠉⢘⡅⠚⠋⠉⠁⠀⠀⠀⠀⣔⣾⢏⢦⢄⣿⣧⣿⡆⠀⠈⣿⣿ ⣿⣿⣿⣿⣿⡿⢸⣿⣿⣿⡿⢻⣿⣿⡿⠋⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠉⠀⢂⢻⣿⣿⣿⡇⠀⠀⢽⣿ ⣿⣿⣿⣿⣿⢃⣿⣿⣿⣿⣷⣿⣿⣿⣿⡷⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠀⢀⣠⣾⣟⡖⢻⣿⣿⠃⠀⠀⣿⣿ ⣿⣿⣿⣿⣟⣼⣿⣿⣿⣿⣿⣿⠟⣻⠿⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠾⠿⠛⠉⠁⢰⢸⣿⡿⠀⠀⠀⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠋⠰⢟⣿⠌⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠀⢠⡇⣿ ⣿⣿⣿⣿⣿⣿⣏⠓⠓⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⠿⢾⣿⡟⠀⠀⠀⣼⠃⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠤⠤⠤⠤⠄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠀⠀⠀⣰⠏⢰⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⢚⣡⣴⣾⣿⣿⣿⣿⡿⠿⢿⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠁⠀⠀⣰⠏⣠⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣴⡾⠋⠀⠀⠀⠀⠀⠀⠀⣃⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⣼⣿⣃⠤⠚⠚⠉⠉⠉⠙⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠉⠀⢀⡄⠀⠀⠀⠀⠀⠀⠙⢽⣿⠿⠋⠉⠁⠀⢠⡆⢰⠃⠀⠀⠀⠀⠀⠀⣼⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠈⢯⠀⠀⠀⠀⢀⡞⢠⠋⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⣸⢠⠃⠀⠀⠀⠀⠀⢠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡆⢠⠉⢿⣿⣿⡟⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⡇⠇⠀⠀⠀⠀⠀⣠⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣼⠀⠈⢿⣿⡇⢹⣿⣿⣿⣿⣿⣿⣿⡗⠤⣀⠀⠀⠀⠀⠀⠑⢄⣀⡞⠀⠀⠀⠀⢀⣴⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣷⠀⠀⠹⢇⠀⢻⣿⣿⣿⣿⣿⣿⣧⠀⠈⠻⣷⣦⣤⣀⡀⠀⠉⠀⠀⠀⣀⡴⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠟⠀⠀⠀⠈⠳⣄⢻⣿⣿⣿⣿⣿⣿⣆⠀⠀⠈⠻⢿⣿⣿⣿⣷⣶⣴⣾⣿⣿⣿⣿⡿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣄⠀⠀⠀⠀⠀⠈⠳⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠉⡿⢿⣿⣿⣿⣿⣿⣿⣿⡿⢱⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀ ⠀ (\__/) (•ㅅ•) Don’t talk to _ノヽ ノ\_ me or my son `/ `/ ⌒Y⌒ Y ヽ ever again. (  (三ヽ人  /  | | ノ⌒\  ̄ ̄ヽ ノ ヽ___>、__/ |( 王 ノ〈 (\__/) /ミ`ー―彡\ (•ㅅ•) / ╰ ╯ \ / \>
😊😄😁😅😆🥰😀🤗😂🙂😌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣠⣾⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⣤⡾⠿⠿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣦⡀⠸⣿⠀⣤⣤⣶⣶⣾⣿⠟⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡄⢹⠆⠻⠟⠛⠛⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⠀⠀⠒⠒⠒⠒⠒⠒⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⢠⣄⠀⠀⠀⠠⠈⠿⠿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡀⠈⡉⠁⠀⠛⠂⠸⠷⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠶⠀⠻⠿⠀⠻⣿⠆⢸⣶⠀⢦⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡄⢰⡆⠰⣶⣆⠀⣤⣤⠀⣤⡄⠈⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣤⠀⣤⠀⢀⣈⡀⢉⠉⠀⠛⠻⠀⢿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⠀⠛⠃⠘⠛⠃⠘⠿⠆⠰⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠿⠇⠘⠿⠀⢿⣷⠀⢲⣶⠀⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⡆⢰⣦⡄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
🍍
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠟⠛⠛⠉⠉⠉⠁⠀⠀⠈⠉⠉⠙⠛⠿⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀ ⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠹⣧⡀⠀⠀⠀⡏⠉⠙⠋⢹⡆ ⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠚⠉⠉⠛⠿⣦⡀⠀⠸⣷⡀⠀⠀⠹⣄⠀⠠⡹⠃ ⠀⢀⣿⠃⠀⠀⠀⠀⣠⣶⠾⠟⠛⠉⠉⠛⠿⣶⣄⠀⠀⠀⠀⣰⠃⢀⣠⣤⣄⠀⠈⢻⣦⠀⢻⣧⠀⠀⠀⠈⠓⠋⠀⠀ ⠀⢸⣿⠀⠀⠀⣠⣾⠋⠁⠀⠀⢀⣠⣤⣤⣤⣈⠙⣷⣄⠀⢠⣏⣶⣿⣿⣿⣿⣿⣦⠀⢻⣧⠘⣿⢀⢸⡛⠛⢲⠀⠀⠀ ⠀⣾⡇⠀⠀⢠⡿⠁⠀⠀⣠⣾⡿⢿⣿⣿⣿⣿⣷⣌⢿⣆⢸⣿⡋⠉⢉⣿⣿⣿⣿⣧⠈⣿⠀⣿⣿⠀⠹⠶⠋⠀⠀⠀ ⠈⡟⣿⠀⠀⢸⠇⠀⢀⣼⣄⠈⠀⣸⣿⣿⣿⣿⣿⣿⡎⣿⣿⣿⣿⣶⣿⣻⣿⣿⣿⣿⣤⣿⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⢷⢹⡆⠀⢸⡄⠀⣾⣿⣿⣿⣿⣿⣩⣿⣿⣿⣿⣿⣇⣿⢹⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⠏⣸⢧⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⣇⢳⡀⠈⢧⠐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢠⢁⡞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢎⠃⠀⠈⠳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⠟⠁⠀⠀⠈⠻⣿⣿⣿⣿⡿⠟⠁⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⣄⠀⠀⠈⠙⡻⠿⢿⣿⡿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠃⣀⡀⣰⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡤⠬⣷⣄⡲⣤⣈⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⢛⡵⠚⠁⠀⢀⣠⣤⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣇⠀⠀⠀⢻⣿⠒⠭⣟⣷⢶⣤⣤⣤⣤⣤⣤⣤⣤⣶⢾⣟⠯⠗⠊⠁⠀⠀⠀⣾⠟⠁⠀⢘⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⣧⠀⠀⠈⣿⡄⠀⠀⠈⠉⠛⠛⠛⠛⠛⠒⠋⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣿⠇⠀⠀⠙⠛⠛⠒⠒⠛⠛⠛⠻⠿⢷⡢⣤⣔⡶⠿⠟⠛⠛⠛⠻⠿⠽⠟⠁⠀⠀⢺⡿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠻⢿⣿⠒⠲⠛⠙⠲⠦⢼⣿⡿⠟⠛⠃⠀⠀⠀⠀⠀⠀⠀⢸⣇⡇⠀⠀⠀⠀⠀ ⠀⠀⠹⠿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⡻⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢦⣀⠀⠀⠀⠀⠀⠀⢀⡾⡿⠀⠀⠀⠀⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⢀⣠⣴⢯⠞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⠶⠶⠶⣖⡿⠚⠁⠀⠀⠀⠀⠀⠀⠀⠘⠮⣷⣶⡤⡤⠴⠾⠟⠋⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠦⣄⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⢹⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡏⠀⠀⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⣾⣿⡟⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⣆⠀⢰⣿⣿⡇⢹⠀⠀⠀⠀⠀⠀⣠⣴⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠹⣆⣾⣿⣷⠇⠘⡇⠀⠀⢠⣴⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⣶⠖⣤⠀⠀⢸⠀⠀⠀⣿⣿⣿⡟⠀⠀⢧⣤⣾⣿⣿⣿⡏⢠⠃⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠚⠛⠛⢻⡀⠈⠳⣄⢸⠀⠀⠀⢹⣿⣿⣦⣀⡀⢸⣿⣯⠛⢻⣿⣶⡟⠀⠀⢀⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⢤⡀⠀⠀⠀⠀⠀⣇⠀⠀⠈⣿⠀⠀⠀⠘⣿⣿⣿⣽⣻⣿⣿⣿⡷⠋⠙⡿⠀⣠⠔⣉⣠⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠆⠙⠲⣄⡀⠀⠀⢻⠀⠀⠀⠸⣇⠀⠀⠀⣿⣿⣿⣿⣿⣾⣿⣿⣷⠶⠞⠛⣿⠹⠶⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡀⠄⠀⠈⠻⣤⠀⢘⣦⠀⣦⣼⣧⠀⠀⠀⢻⣿⣿⣿⣿⠟⠃⠋⠀⠀⠀⠀⣿⣶⣤⡄⠃⣀⣤⣤⣶⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⢿⣆⠠⣄⡈⢻⣷⣔⢦⡀⠈⣷⣽⣿⡿⠃⢿⣿⡄⠀⠀⠸⣿⣿⠋⠁⠀⠀⣀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣽⠿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠙⢦⣽⣞⢧⡹⣿⣿⣿⣸⠁⠀⠈⢿⣿⣤⡄⢠⣿⣧⣀⣠⡶⢿⡿⠁⠀⢀⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⢤⣤⣀⣀⡀⠘⢦⡀⢹⣿⡏⠻⣝⣿⣿⡿⠀⠀⠀⣨⡿⠋⣷⣾⣿⠿⠋⠙⠿⢾⡇⠀⠀⣸⣿⣿⣿⣿⣏⣀⣤⣶⡖⢒⣶⡾⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠺⣭⣝⣾⣇⠀⢹⣷⡀⠹⣜⣿⣿⡶⣤⣴⣯⢀⣀⣻⣿⣟⡀⠀⠀⠀⢸⡇⠀⠀⣿⣿⣿⣏⣼⣿⣿⣿⣟⣠⠟⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⠀⠀⢻⣷⡀⠙⠛⣿⣿⣿⣿⣿⣛⡋⣹⣿⠁⠀⠀⠀⠀⣼⣇⠀⢰⣿⣿⣿⣿⣿⣿⣿⠟⢛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⠀⠀⠻⣿⣄⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢸⣿⡇⠀⢸⣿⣿⣿⡿⠟⢁⣴⠞⠀⠛⠛⡦⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠈⢻⣷⣦⣀⣿⣿⣦⣬⣿⡟⣿⣿⣿⣿⣿⣿⣇⡀⠀⠀⢸⣿⡆⠀⣸⣿⠟⢁⣤⣾⣿⠛⠀⠀⠀⠀⠀⠀⠀⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠻⢿⣿⣷⡶⠒⠺⢿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣿⣿⠛⢿⣧⣿⣷⣰⣤⣾⡟⠁⣰⢟⣱⣾⣿⠿⠿⠖⠋⠀⠀⠀⠀⠀⠀⠀⣸⡦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⠛⠛⠻⠿⢦⣤⣴⣿⣿⣿⣿⣻⣿⣿⣿⣿⣧⣤⣼⣿⣿⠛⢻⣿⣿⣿⣧⣞⡻⢿⣿⣿⣶⡢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠋⠀⠀⢀⣤⣴⣂⣄⣿⣿⢿⣿⣿⣿⣿⣿⣿⣽⡿⣿⣿⣿⣿⡿⢠⢼⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣌⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢁⣴⣿⠿⠿⠿⢛⣽⣿⣿⣿⣿⣿⣿⣿⡟⠈⠻⠿⣿⣻⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣤⣀⡀⠈⣿⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⣹⣇⣀⣰⣦⣬⣭⣿⣿⣿⣿⠛⠙⠿⣷⣦⠀⢀⠀⢉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⠉⠙⢶⡇⠀⢠⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⢻⣿⣿⣿⣿⣍⣹⣿⡟⠛⠣⠀⠀⠀⠈⠉⣑⣿⣶⣾⣿⣿⣿⣿⣿⡟⠻⣾⠿⠟⢻⣿⣯⠋⠳⡀⠈⣷⣤⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⢿⡟⠛⢻⣿⣧⣤⡾⣻⣿⣧⣄⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣾⣦⠀⠈⠙⠿⣆⠄⢻⡀⠛⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢴⣾⢿⣧⣿⣿⣶⣶⣞⣛⣻⣿⣻⡏⣛⣻⣷⣿⣷⣮⡿⠻⣿⣿⣿⠿⣿⡟⢿⣦⢹⡞⢮⡙⢿⣧⢠⠀⠀⠘⠀⠀⣧⠀⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣷⠾⣻⠋⠻⣿⣏⠋⠙⣟⡟⣻⣿⣿⣿⢻⣏⡟⣿⣿⣟⣿⣿⣿⣿⣿⣝⢷⣿⡇⠀⠈⢿⣾⣿⣿⣶⡀⠀⠄⠆⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣿⢙⣿⡿⢴⡋⢀⣴⣿⡟⠙⠂⠈⣧⣿⣿⠟⠻⣾⣿⣿⣍⡉⠻⣾⣩⣿⣿⣿⣻⡿⣿⣅⡀⠀⠘⣿⠟⠘⠛⢿⣾⣶⣀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣼⣾⣿⡟⣿⣷⠀⣙⣛⣻⣿⣧⣤⣤⣴⣟⠛⢻⣿⣿⣿⣤⣤⣮⡟⣿⣷⣶⠗⣻⣿⣯⣷⣾⣿⠁⠀⠀⢸⣇⠀⠀⠀⠙⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⣿⣿⡟⣧⣾⣿⡛⢁⡤⡶⠀⢹⣿⣟⠁⣠⡄⠀⢿⠻⢧⣴⠏⢘⡇⣿⠛⠋⠈⠁⣿⣦⣙⣻⣿⡿⠂⠀⢸⡟⠃⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣿⢻⣿⣄⣹⣿⣿⡛⣿⣹⣁⢀⣼⡇⢹⣿⣻⣷⣾⣿⣆⠸⠿⠋⠛⣛⣿⣦⡄⣀⣴⠿⡿⣿⣿⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⡿⣿⠀⣿⣿⠇⠀⣿⣿⠋⠈⢉⣽⣿⣿⣄⣉⣂⣹⣶⠿⢿⣷⣶⣶⣿⣽⣿⡿⣻⢿⣭⠦⠀⣿⣯⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⣿⣷⢙⣿⡏⣿⠀⠀⣿⣿⣶⡾⠛⣹⢶⣿⣿⡟⢻⡏⠰⣆⣈⢻⡎⢿⣋⡽⠛⢷⣹⡀⠀⠙⠀⣛⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣹⣿⣿⣿⡿⠛⠓⣛⣿⣿⢿⣃⡞⡟⠀⠈⢹⠙⢿⣣⡜⠃⠙⢹⣷⠘⠋⠘⠒⢚⣿⣿⣦⡤⢻⣻⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⣟⣿⡿⠀⢿⣶⣴⣿⣿⠃⢿⣌⣹⡛⢧⣤⣀⣸⡇⠼⠛⠳⠤⠶⢾⣿⣤⣄⣠⡤⠛⣛⣷⠘⣧⣴⢿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢻⣿⡙⠳⠀⣨⣿⣿⢹⡿⣄⢸⣿⡏⠻⢂⣠⣼⣽⣿⣄⣀⣀⣴⡖⢛⣉⢻⣿⣷⠀⣠⢿⣿⡼⣿⣋⣾⡵⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠢⣼⣿⡹⢶⣤⣿⢿⣿⠘⢧⡿⠶⣿⣷⣿⣟⣻⣿⡆⠉⢻⣿⣿⣿⠃⢠⠿⣶⣷⠘⠚⣇⠀⣿⣦⣶⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣈⣿⣷⢺⢿⢻⠈⣿⡶⠀⢀⣾⣿⣿⣿⠟⠛⠿⡟⢠⡀⡇⠹⣤⡼⠃⠀⢉⣿⡄⠀⣈⣼⣿⡛⡛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣈⣳⡎⠈⣏⠋⣻⣿⣿⠋⠀⣿⠃⠹⣦⣾⣶⡇⢸⡄⣿⡄⠀⠀⠀⢉⡿⣯⣿⣾⡿⣿⣽⣧⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢧⣀⠀⣠⣿⣿⠋⠳⡄⢿⣦⣄⠋⠀⠈⠛⠛⠳⣿⣿⡦⣾⡟⠉⣶⡈⣿⣿⡞⣛⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠿⢷⣿⡇⣿⠀⠀⢷⠘⣿⠛⢀⣇⣀⣠⣴⣾⣿⠉⠙⣏⣀⣾⠿⣿⣿⢋⡌⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢷⣻⣿⡦⠴⠾⠂⢻⣶⠟⣋⣉⣉⡙⢻⣗⠀⠺⣾⣽⡿⠶⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣤⣤⣤⡟⠙⣟⣻⡿⠛⣿⠿⣿⢫⠞⢋⣠⣤⠿⡥⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣦⡙⠁⢠⠦⠼⠶⢿⣟⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡙⠛⠒⠒⠲⢿⡏⣛⠛⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡠⢤⠖⠒⠢⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⠕⠁⣞⣯⡆⢁⠚⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡠⠞⠊⠀⠀⠹⠋⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠙⠸⠀⠀⠀⠀⢀⣼⡇⢀⡀⠇⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⡄⠀⠀⡀⣀⢴⣿⡟⢁⠜⠀⠘⢖⣇⣤⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢖⣩⣾⣿⡻⡯⢺⠈⠀⠀⠀⠀⠈⠘⠚⠼⢜⡇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠛⠭⣾⠤⢼⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢾⢤⠀⠀⠀⢀⡠⣾⠿⠷ ⠀⠀⠀⠀⠀⣜⡻⢓⣤⡠⠒⡡⠀⠀⠀⠀⠀⠀⠀⠀⠈⢪⣲⣠⡐⡜⣽⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠡⣿⡟⢧⡀⠐⢄⠀⠀⢠⠏⠀⠀⠀⠀⠀⠉⠓⢉⢜⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠀⠈⢳⡀⠀⠑⠠⠃⠀⠀⠀⣠⣂⣀⠠⠔⡡⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⠄⣀⣑⣦⣄⠀⠈⡦⠐⠒⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡏⠀⠎⢀⣼⠙⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠅⠹⠤⠜⢰⣏⣣⠤⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⡀⢻⣿⡄⠀⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⣄⠒⣄⠲⣄⠀⠀⡀⠸⣿⣼⡟⠛⣉⠙⠿⣦⣔⠠⣀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿ ⣿⡇⠈⢿⣷⡀⠀⠀⢈⠀⠁⠘⢦⡀⠀⠀⢺⠩⣍⠱⣌⠚⡄⢣⠘⢢⠀⣌⣷⡿⣿⡮⠀⠀⠈⠄⡙⢻⣧⡀⠎⣀⠀⠘⣧⠂⠄⠀⠘⣿ ⣿⡇⢡⠈⢿⣷⡀⠀⠀⠂⢀⣠⠜⣿⣄⠀⢃⠳⡌⡱⢠⠩⡐⢡⠉⠴⠿⢻⣯⠄⣻⣷⠀⠀⠀⠀⢠⣷⠙⣿⣔⠀⠆⡀⢸⡇⠘⡄⠀⢹ ⢹⣿⠀⡌⠌⢿⣷⠀⠀⠁⡸⠄⢎⡘⣿⣧⡀⠓⡌⡑⢂⠱⢈⢂⠩⠐⠠⢘⣿⡆⠸⣯⠀⠀⠀⣠⣿⡏⢀⠈⢿⣶⡈⠐⠠⣿⠐⠌⡄⠘ ⠘⣿⡆⠀⠈⠌⢻⣷⡀⠀⢰⣉⠆⡒⠸⣿⣷⡀⠐⡡⠂⠔⡀⠂⠤⠉⠄⣈⡿⡇⢐⣯⣶⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡿⠂⣽⠂⡱⢠⠀ ⠀⢿⣿⣶⣶⣶⣶⣿⣿⣿⠟⢋⠱⡈⢁⢻⣟⣷⡄⠡⠌⡐⠠⢁⠂⡁⢂⠐⣇⢏⣾⣿⡿⠛⠉⠉⠈⠁⠉⠙⠛⠿⣿⣿⣧⣼⡇⠰⢡⠀ ⠀⠸⣷⡀⠄⠀⠀⠀⢬⡿⣦⡀⠁⠆⠡⠈⣿⡼⣷⠀⡐⢈⠐⡀⢂⠐⢠⡘⣤⣿⣿⠋⠀⣠⣶⣶⣿⣾⣶⣦⣄⠀⠘⠻⣿⣿⣆⣡⠂⠆ ⢀⠀⢻⣷⠈⣤⠀⠀⠀⠀⡹⣷⣌⠠⠁⠂⢹⣧⢿⡇⠀⠌⡀⣠⡤⢞⡡⠐⣾⣿⠏⠀⣾⠿⢿⣿⢿⣮⡉⢹⣿⣷⡄⠀⢙⣿⣿⡟⢁⠂ ⢀⠂⠈⢿⣆⣿⡇⠀⠀⠀⢀⣈⠻⣦⣐⣌⢈⠡⠌⣛⣤⠷⠛⠙⠋⠉⠀⢀⣿⠿⠀⢐⣿⠀⠀⢻⣇⠘⢿⣯⣵⣿⣿⡄⠀⠸⣿⣿⡀⠌ ⠠⠈⡔⡈⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣭⡀⠌⡐⠊⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣠⣤⣿⠀⠀⢉⣥⣿⣿⣧⠀⠐⣿⣿⣅⠠ ⠠⢡⣹⣿⣿⣿⣿⡿⠟⠛⠛⠛⠿⠿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣯⣭⣴⣶⠾⠟⡀⢸⣿⠀⠀⡔⢿⣷⣦ ⣀⣷⣿⣿⡿⠋⠀⢀⣠⣶⣾⣷⣶⣤⡀⠉⠛⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡿⠩⢍⠁⠀⠀⠈⣼⣿⠀⣴⡇⢺⣽⣿ ⣼⣿⣿⡟⠀⠀⢠⣿⣿⣿⣿⣿⢋⠛⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠹⢿⣔⡢⢀⠌⣀⣲⣿⢃⣼⣟⣿⠛⡩⠄ ⣾⣿⣿⠀⠀⠀⣿⠃⠀⢻⣏⠻⣿⣾⣓⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⠿⠛⠋⠁⢻⣽⡟⢄⠣⣔⣽ ⣻⣿⡧⠀⠀⠀⣿⡅⠀⣀⣻⡅⠈⠉⢉⣹⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⢀⠡⠈⠻⣾⠶⠿⠛⠉ ⣿⣿⡗⠀⠀⠀⢹⣿⣶⣿⠟⢀⣀⣠⡿⢏⠀⣹⣿⠆⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⠀⢂⠁⠠⠐⠠⢁⠌ ⣿⣿⣿⡀⠀⠀⠀⢻⣿⣿⢾⡟⠛⠋⠀⠀⠡⢌⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠄⢁⠂⠌⡠ ⠈⢿⣿⢿⣤⠀⠀⠀⠙⢿⣿⣄⠉⠆⢀⠐⣠⣿⡿⠀⠀⢀⠀⠄⠀⠀⠀⠀⠀⠀⢀⣴⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠂⠈⡀⠄⠂⣅ ⠀⠈⢿⣷⡜⢃⠀⡀⠀⠀⠙⠻⠿⣶⣾⠾⠟⠋⠀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣉⠻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡀⢀⠣⣸ ⡀⠌⢢⠹⣿⣦⠠⡑⠂⢶⣶⣴⣦⢦⡄⠠⢀⠐⡀⠂⢀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢹⣿⡤⢓⣌⢻⣷⡀⠀⠀⠀⠀⠀⠀⠈⠀⠌⠀⣴⣿ ⠟⢦⣴⠒⡈⠛⣷⣾⣁⣾⣥⣶⠿⢾⣶⣄⠂⠐⡀⠡⠀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⢩⢆⢣⣻⡇⠀⠀⠀⡀⠠⠀⡁⠈⢀⣼⣿⢟ ⡘⠤⠹⣿⣌⠓⣠⣿⠿⢋⠍⡐⢎⣰⣻⣏⠀⠂⠄⡁⠄⠀⡀⠈⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣾⠿⠛⠁⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⣋⢮ ⠨⠜⣱⠘⣿⣿⣿⣇⠘⡌⣌⣱⣦⡿⠛⠀⠠⠁⢂⠀⠄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⡀⠀⢀⠀⣀⣴⣿⣿⣿⣷⣿⣶ ⢈⠒⡡⢉⠜⣿⣯⡻⠿⠿⠛⠛⢁⠠⠐⠈⠄⠂⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⠀⣤⣴⣾⣿⡿⢟⡛⡭⠰⡌⢿ ⠀⢈⠐⠡⢈⣹⣿⣿⣷⣾⣥⣬⣤⡂⡈⠐⠠⠁⠂⠐⠈⡐⢀⠂⠄⠠⡀⠄⡀⢀⠠⡀⣄⣠⣤⣤⣬⣶⣿⣿⣟⣫⡕⣎⢧⡹⣜⣳⡜⣸
😊😄😁😅😆🥰😀🤗😂🙂😌🥳
*•✩•*˚🛸⛓🦖🎨🌈🧁⛓🛸˚*•✩•*˚
⠀⣠⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠏⠉⠳⣌⠙⠲⢄⡀⠀⠀⠀⠀⢀⣀⡤⠞⢡⠷⠊⢹⡀⠀⠀⠀⠀⣠⠴⠚⢉⡴⠋⠉⡇⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠈⠳⣄⠀⢉⣶⠴⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠑⠲⢴⡋⠁⢀⡴⠋⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⣸⠗⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡄⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⣇⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢳⡀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⡄⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠇⠀⠀⢠⣤⣴⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⣶⣤⡄⠀⢘⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⠏⠀⠀⠀⠀⠁⠀⠀⠀⠈⠙⠃⠀⠀⢤⣤⠄⠀⠀⠋⠉⠀⠀⠀⠀⠁⠀⢸⠀⠘⢦⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣄⣠⣧⣀⠆⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣷⠖⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣸⠀⠁⢻⣀⣀⣀⣀⣀⡀⠀⠀⠐⠃⠀⢶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠶⣄⠰⣾⣍⣉⣓⣲⡤⢭⣿⣿⣦⣤⣾⣦⡀⢀⣀⣈⣉⣩⣿⠖⢀⡴⠋⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⢺⣷⣄⠀⠈⠉⠉⠉⢹⠏⣉⢻⠉⠉⠉⠉⠀⣀⣴⣿⠚⠉⠀⠀⢠⡟⠉⠈⠉⠲⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡼⠉⠀⠛⢳⡀⠀⠀⢀⣸⠀⣿⢹⣀⣀⡀⠀⡼⠛⠂⠈⢳⡀⠀⠀⠀⠳⣄⠀⠈⠢⡈⢣⡀⠀ ⠀⠀⠀⠀⠀⠀⣇⠀⠀⠠⢼⣧⠀⠀⣽⣙⣀⣙⣋⣀⣀⣉⣽⡷⠤⠀⠀⢨⠇⠀⠀⠀⠀⠈⢣⡀⠀⠱⡄⢣⠀ ⠀⠀⠀⠀⠀⠀⠘⢶⣤⣤⡟⠙⠀⠀⡇⠀⠀⠉⠀⠀⠀⠀⠀⠙⡦⣤⣴⠋⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠁⠘⡄ ⠀⠀⠀⠀⠀⠀⠀⡟⠀⡇⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⡇⢸⡀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⣠⣶⣿⣷⣤⣇⢱⠸⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⣣⣾⣷⡶⣄⠀⠀⠀⠀⠀⡸⠀⠀⠀⣸⠀ ⠀⠀⠀⢰⣿⣾⣿⣿⡟⢿⢼⠀⡇⠀⢸⣀⠀⠀⠀⠀⠀⡀⠀⡟⣸⠋⣿⣿⣿⣿⡇⠀⢀⣠⠞⠁⠀⠀⣰⠃⠀ ⠀⠀⠀⠘⣟⠛⢻⠁⢹⣿⡘⡄⣇⠀⢸⣿⣧⣤⣿⣦⢾⣿⡆⡇⡿⣏⠉⢳⠻⢻⠟⠈⠉⠀⠀⢀⡠⠟⠁⠀⠀ ⠀⠀⠀⠀⠘⢦⠈⠛⠉⠈⡇⡇⣿⠿⣧⣼⣿⡟⢻⣿⣶⠀⢠⠃⡇⠈⠛⠋⣠⣏⣀⣠⠤⠴⠚⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⣇⠙⢮⣑⠛⠛⠿⠃⠘⠿⢏⡠⠞⢸⠃⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠲⠤⠼⠓⠦⠤⢭⣉⣉⣉⣉⣩⠥⠴⠒⠻⠤⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡤⠤⣦⢴⠟⠋⠁⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣠⡶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣿⣀⠀⠀⠀⠀⠀⠀⢠⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠉⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⡀⠀⠀⠀⠀⠀⢴⣾⡙⣻⡷⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠘⢿⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠆⠀⠀⢰⣿⣦⠤⠔⠀⢹⣧⣀⣀⠀⠀⠀⠈⠀⡀⠀⠀⠀ ⠀⠀⣸⣆⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⣀⡀⠀⠀⠀⠀⠾⠂⠀⠀⠀⢻⡏⠀⠀⢾⡛⠻⣯⣉⠁⠀⠀⠀⢀⡿⣤⣀⡀ ⠠⣴⣟⣻⡷⢶⠀⠀⠀⣾⠀⠀⠀⢰⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠠⠀⠈⠛⠛⠛⣿⠛⠂⠀⠐⠻⣷⣼⠟⠉ ⠀⠀⠹⡿⠀⠀⠀⠀⠀⣿⣠⣀⣒⠀⢋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠔⠀⠀⠀⠀⠈⠋⠀⠀ ⠀⣠⠀⠀⠀⠀⠀⢀⣤⣿⠟⣿⡉⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⡿⢶⣤⡀⠀⠘⠟⢁⣿⡞⠛⠉⠀⠀⠀⠀⠀⠀⠀⣰⣤⣤⡶⠤⣤⣄⠀⠀⠀⠀⠺⣧⡀⠀⠀⣴⠟⢿⡆⠀⠀⠀ ⠛⢷⣾⠋⠀⠀⠀⠀⣾⠛⢷⣤⣀⡀⠀⠀⠀⠀⠀⣼⠋⡁⢻⡀⢀⠀⠉⠀⠀⠀⠀⠀⠈⢻⣤⠀⣿⠐⢸⡇⠀⠀⠀ ⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⣷⠄⠀⠀⠀⠁⠀⢀⣸⡷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡏⠀⣾⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣼⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⡀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠋⠙⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣷⡀⠀⣿⡄⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⡇⠀⠹⣧⠀⣻⣧⠀⠉⠀⠀⠀⠀⠀⠀⢀⣀⣤⠤⠶⠒⠛⠓⠒⠒⠲⠦⢤⣌⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⡀⠀⢻⣷⠛⠻⣇⠀⠘⠗⠀⣠⡴⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠦⣤⡴⠞⠛⠋⠉⠛⢷⠀⠀⠀⠀ ⠀⠘⣷⣴⠿⢿⣆⠀⠙⠃⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢶⣄⠀⠀⠀⢸⠇⠀⠀⠀ ⠀⢠⣿⡇⠀⢨⣿⡆⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⢀⡿⠀⠀⠀⠀ ⠀⠈⠀⠛⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠛⠲⢦⣄ ⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣾⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡆⠀⠀⠀⠀⠀⢸⣇⣤⠞⠁ ⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠹⢿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡿⠃⠀⠀⠀⠀⠀⢸⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣀⠀⠀⢀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠿⠿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠛⢷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠛⠲⠶⠶⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⢴⡞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠼⠯⣉⡉⠛⠒⠒⠒⠒⠒⠛⢋⠉⠉⠹⣆⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⠀⠀⠈⠁⠀⠀⠀⠀⠀⣰⠋⠀⢀⡀⢹⡏⢳⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠳⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⣷⡿⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡤⣴⠒⠞⠙⡆⠀⠀⠀⠀⡼⠙⠶⠲⡤⢄⣸⠛⠲⠷⣟⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⣽⠀⠀⠀⠀⡇⠀⠀⠀⠀⢸⡟⠀⠀⠀⣨⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢤⣀⢀⣰⠃⠀⠀⠀⠀⢹⣄⠀⢀⣴⡿⠤⠴⠖⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢠⣴⣾⣦⠀⠀⠀⠀⠀⠀ ⠀⡀⠤⢄⠀⠀⠀⠀⡠⠤⢀⠀⠀ ⡜⣀⡄⡘⠀⣤⣤⡀⢁⢤⡀⢣⠀ ⡀⣿⣷⡇⣾⣿⣿⣷⣸⣾⡿⢠⠃ ⢐⣬⣉⣁⣙⢿⡿⣋⣨⣉⣱⠂⠀ ⠀⠹⡺⢗⢁⠑⢊⠁⡺⣟⠏⠀⠀ ⠀⠠⠌⠓⠮⡍⢃⠷⠒⠣⠄⠀⠀ ⠀⡀⢤⠄⢀⡐⢀⡀⠀⣄⢀⡀⠀ ⠀⠉⡎⠉⠉⠀⠀⠉⠉⠹⠉⠀⠀ ⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀
⠀⠀⠀⠀⣠⣶⣶⠶⠖⠒⠒⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠞⠁⠙⠏⢀⣀⣠⣤⣤⢬⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡰⠃⠀⠐⠒⠉⠉⠉⠉⠉⠉⣩⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⢀⠃⠀⠀⠀⠀⠀⠀⣀⣀⠤⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⣉⠥⠄⠀⠩⠽⢶⣤⣀⠀⠀⠀ ⢸⠀⠀⠀⠀⣼⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢋⡴⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢦⡀ ⠘⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⢠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⠀⠀⠀⠑⢤⣀⣀⣀⣠⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠒⠁⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣷⠀⠀⠀⠀⠀⠀⠠⣀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠒⠒⠒⠒⠂⠉⠁⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣆⠀⠀⣄⠀⠀⠀⠈⠑⢄⠀⠀⠀⡴⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢦⡀⠈⠑⠢⢤⡤⠄⠀⢱⠀⢰⠁⠀⠀⠀⠈⢆⠀⠀⣀⡠⠔⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⠏⢹⣶⠒⣋⡥⣤⡄⠊⠁⠀⢸⡆⠀⠀⠀⠀⣸⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⡀⠘⣿⣶⡷⢤⢄⣀⠀⡇⠀⠀⠀⠀⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠻⠿⢧⠱⣤⡼⣧⡞⠀⢾⡉⠻⢦⡀⠀⠀⠈⠓⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠒⠛⢿⡁⠀⠀⠠⡇⠀⠀⠙⣄⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⠀⠑⢄⠀⠀⠈⠓⠤⢄⣀⣀⡀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⢀⠼⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⢋⣍⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣟⢻⠋⢿⠭⠋⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣿⣰⠀⡎⠣⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣉⡙⠒⢚⣒⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⡧⠻⠤⠿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⢏⠫⡀⠁⠉⠑⣊⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠁⠈⠉⠀⠀⠀⠀⠀⠈⡆⢤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡸⣤⡄⠀⢠⣤⠀⠀⠀⠀⠑⢏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⢳⢢⠀⠀⠀⠀⠀⠀⠀⢜⡰⠀⠀⠀⠀⠀⠀⠀ ⠀⣬⢶⣼⡼⠤⠤⢶⡀⠀⠀⠀⠀⠰⣀⡀⠀⠀⠀⠀⠀ ⠰⡛⠦⠀⠀⣀⠤⠛⠁⣀⡰⠀⠀⠘⠥⡃⠀⠀⠀⠀⠀ ⡀⠙⡎⠀⠀⡓⠀⣔⡞⠓⠃⠀⠀⠀⠀⢸⣪⣀⡰⣄⣠ ⡟⠊⣇⣷⣾⡧⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡡⠃ ⠰⣀⣹⣿⣇⠀⠀⠀⠀⠀⣀⣤⡀⠀⣀⣀⠠⠔⠊⠀⠀ ⠀⠀⠀⠀⠘⠂⠒⠒⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛🟩🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛🟩🟩🟩🟩🟩⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛⬛🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛🟩🟩🟩🟩⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛🟩🟩🟩⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛🟩🟩⬛⬜⬜⬜⬜ ⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜⬜ ⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜⬜ ⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛⬜⬜⬜ ⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛🟩⬛⬛⬜ ⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛🟩🟩🟩⬛ ⬛🟩🟩🟩🟩⬛⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛🟩🟩⬛ ⬛🟩🟩🟩⬛⬛⬛⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛⬛⬛🟩🟩🟩🟩🟩🟩🟩🟩⬛🟩⬛⬜ ⬛🟩🟩🟩⬛⬛⬛⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛⬛⬛🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛⬜⬜ ⬛🟩🟪🟪🟪⬛⬛🟩🟩🟩🟩⬛🟩🟩🟩🟩⬛🟩🟩🟩🟩🟩⬛⬛🟪🟪🟪🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜ ⬛🟩🟩🟪🟪🟪🟩🟩🟩🟩🟩🟩⬛⬛⬛⬛🟩🟩🟩🟩🟩🟩🟩🟪🟪🟪🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜ ⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜ ⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜ ⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛🟩⬛⬜⬜⬜ ⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛🟩🟩⬛⬜⬜ ⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛🟩🟩🟩⬛⬜⬜ ⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛🟩🟩🟩🟩🟩🟩⬛⬛⬛⬛🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩⬛⬛⬛⬛⬛⬛🟩🟩🟩⬛🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩⬛🟩🟩🟩🟩🟩⬛🟩🟩🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩⬛🟩🟩🟩⬛🟩🟩🟩🟩🟩⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩⬛🟩🟩⬛🟩🟩🟩⬛🟩🟩⬛🟩🟩⬛🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩⬛⬛🟩🟩🟩🟩🟩⬛⬛🟩🟩🟩🟩⬛🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩⬛⬛🟩⬛🟩🟩🟩🟩🟩⬛🟩⬛⬛🟩🟩⬛⬛⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🟩⬛🟩⬛🟩🟩🟩⬛🟩⬛🟩🟩⬛⬛🟩🟩⬛⬛🟩⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩⬛🟩🟩🟩⬛🟩🟩🟩⬛🟩⬛🟩🟩🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩⬛🟩🟩🟩⬛🟩🟩🟩🟩⬛🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩⬛🟩🟩🟩🟩⬛🟩🟩🟩⬛🟩🟩🟩🟩⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛🟩🟩🟩🟩⬛⬛⬛⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⢷⡀⠀⠀⣀⠀⠀⣠⡿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⠈⡇⠀⢠⢿⢀⠜⣹⠃⠀⠀⠀⠀ ⠀⠠⣤⣀⠀⠀⣦⡀⠀⠀⠸⣤⠃⣼⠏⢀⡇⠀⠀⢀⣤⡄ ⠀⠀⠈⠻⡙⠢⣘⡏⢺⠀⠀⢳⣠⠃⠀⣸⣀⠴⢺⠟⠉⠀ ⠀⠀⠀⠀⠙⡄⠈⠳⣴⠀⠀⢨⠃⠀⡰⠛⠁⣠⠋⠀⠀⠀ ⠰⠶⣖⠠⠤⢸⡀⠀⠈⠳⡄⡎⢀⠎⠀⠀⣠⠧⢔⡶⠞⠁ ⠀⠀⠈⠑⢦⡀⠈⠑⠢⣀⠙⣦⠃⣀⠔⠊⢁⡤⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢦⡀⠀⠈⠑⢋⠔⠁⠀⢠⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣄⠀⢀⠎⠀⠀⢀⣏⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠴⡎⠁⠈⣱⠾⢴⠒⠉⠉⢈⠷⡄⠀⠀⠀⠀ ⠀⠀⢀⡰⠃⠀⢘⡦⡎⠀⠀⠀⠱⣤⡞⠁⠀⠙⣄⠀⠀⠀ ⠀⢠⠟⢧⢀⡔⠉⠀⠘⣄⠀⢀⠔⠉⠈⠢⣄⣀⡼⢷⠀⠀ ⠀⣞⡤⠊⠙⣄⠀⠀⠀⡨⠗⢇⡀⠀⠀⢀⠜⠙⢇⠘⡆⠀ ⢸⢏⠀⠀⠀⠈⢳⣤⡎⠀⠀⠀⠈⢲⣴⡋⠀⠀⠀⢑⣷⡆ ⢸⠈⠳⣄⡤⠚⠁⠀⠙⠢⣀⢠⠖⠁⠀⠉⠲⢄⣠⠞⠀⡇ ⢸⡶⠊⠁⠑⢄⠀⠀⠀⡠⠚⠙⢦⡀⠀⠀⣠⠞⠉⠑⠲⣇ ⢸⣇⠀⠀⠀⠀⢱⣤⡎⠀⠀⠀⠀⢉⡖⠾⣁⠀⠀⠀⡼⢻ ⠸⡎⠣⡀⢀⡴⠋⠁⠑⢄⠀⠀⡠⠊⠀⠀⠀⠑⡶⠮⣄⡇ ⠀⣷⠔⠛⠻⡀⠀⠀⠀⣠⠟⠛⠧⣀⠀⠀⣠⠞⠀⠀⣰⠃ ⠀⠈⠣⡀⠀⠈⢲⡴⢏⡀⠀⠀⠀⣠⠟⠛⠣⠤⣀⡴⠃⠀ ⠀⠀⠀⠈⠳⣞⡉⠀⠀⠈⠑⡦⠊⠁⠀⠀⣀⠤⠚⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠙⠒⠒⠓⠒⠒⠊⠉⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣀⡤⠴⠖⠒⠲⠶⠶⠤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⢤⡀⠀⠀⠀⠀⠀ ⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀ ⠀⡼⠁⣀⣤⣀⠀⠀⠀⣠⣴⣦⡄⠀⢀⣠⣄⡀⠀⠀⣠⣶⣶⣝⣦⠀⠀ ⢸⠃⠸⣿⠉⠙⢷⣄⡾⠋⢹⣿⡿⠀⣿⡟⠛⢿⣦⣾⠋⠉⣿⣿⠘⢧⠀ ⣿⠀⠀⠙⢷⣄⠀⠉⠁⣠⣾⠟⠁⠀⠙⣷⣀⠀⠉⠀⣀⣿⠟⠁⠀⢸⡇ ⣿⠀⠀⠀⠀⠙⢷⣄⣴⠟⠁⠀⣀⣀⠀⠀⠙⠻⣦⣴⠿⠁⠀⠀⠀⢸⡇ ⣿⠀⠀⠀⠀⠀⠈⠛⠋⠀⠀⡾⠀⢹⡆⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⡼⠁ ⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀ ⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀ ⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀ ⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⠓⠶⠦⣤⣤⣤⣤⣤⠤⠶⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠿⡏⠛⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⢻⠾⡿⢶⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡶⠖⠒⠛⠛⠛⠙⠛⠛⠺⠶⣤⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⠶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠷⣶⣶⣾⠻⣟⢿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⢀⣶⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⣤⡀⢹⡇⠀⠀⠀⠀ ⠀⠀⣠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣇⣿⠁⠀⠀⠀⠀ ⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣟⠀⠀⠀⠀⠀ ⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠀⠀⠀⠀ ⢸⡏⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠷⣦⡀ ⣼⠀⠀⢰⣴⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⢿⣇⢀⣼⠟ ⣿⠀⢠⣼⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢸⣿⣿⣿⣿⣧⣤⠀⠀⠀⠀⠀⠀⢸⣿⡾⠏⠀ ⣿⡀⣼⣁⠙⣿⠛⠋⠀⠀⠀⠛⠶⠦⠤⠴⠟⠓⠀⠀⠀⠙⢻⣿⡋⣀⣿⡆⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀ ⢸⡇⠈⠙⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠉⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀ ⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⣷⣄⡀⠀ ⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢋⣤⣾⡏⠁⠀ ⠀⠀⠀⠙⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⠛⠛⠉⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠳⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⣾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠉⠛⣿⠻⠷⠾⠶⠿⢿⠿⠛⠋⢹⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣯⡀⠀⠙⣷⡄⠀⠀⣰⡿⠁⠀⣠⠘⢿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣉⣟⢻⡶⠿⠃⠀⠀⠹⢷⣾⢟⣻⠀⠘⣿⣯⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣧⣿⢻⡿⠻⡆⠀⠀⠀⢠⡾⠿⠟⢹⣦⣄⣿⠿⠿⣷⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣄⢉⣠⣤⠀⡿⠀⠀⠀⢸⡇⠠⣤⣀⢀⣿⣾⠀⠀⣀⣸⣏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣛⣋⣴⡇⠀⠀⠀⠘⣧⡀⠛⣻⣾⣿⠿⠴⠖⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠙⠛⠛⠛⠛⠚⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣷⣤⣿⣤⣨⣿⡀⠀⠀⠉⠙⠷⣤⠀⠈⢻⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠴⠚⠋⠉⠉⠉⠉⠉⠛⠒⠦⣤⡀⠀⠈⢻⣆⠀⠹ ⠀⠀⠀⣴⢶⣶⡶⠖⢋⡽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠶⣾⣿⣠⡤ ⠀⠀⠀⣻⠦⢀⣠⣴⡿⠁⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⠀ ⠀⠀⠉⠀⢰⣿⣿⣿⣇⠀⢀⣴⡟⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠘⣷ ⢧⣀⠀⠀⢸⣿⡿⠟⢋⣴⠋⣸⠁⠀⠀⠀⠀⠀⠀⣴⢻⡶⡄⠀⠀⠀⠀⠀⠀⠘ ⠀⢨⠃⠀⡿⠋⢀⡴⠋⠀⢀⡟⠀⡀⠀⠀⠀⣹⣾⣅⠈⣇⡇⠀⠀⠀⠀⠀⠀⠀ ⣾⠃⠀⠀⠀⣰⠏⣀⡀⠀⢸⢷⡾⠁⣀⣤⠾⠋⠀⠀⠀⢹⣇⠀⠀⠀⠀⠁⠀⠀ ⡇⠀⠀⠀⣰⠏⣾⣿⣿⠀⠀⠘⠓⠛⠉⠁⢀⣴⣶⣄⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⡟⠀⠙⠛⠋⠀⠀⠀⠀⠀⢀⠀⠺⣿⣿⡿⠂⠀⡟⠁⠀⠀⠀⠀⢠⠀ ⠀⠀⠀⣿⠁⠀⠀⠀⠀⠸⠶⠶⡶⣾⠋⠀⠀⠈⠉⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡄ ⠀⠀⠀⢹⣦⡀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⢸⣍⣻⣶⣤⣤⣤⣤⣤⣀⣀⣀⡀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⡇ ⠀⢰⡄⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷⣶⣿⠏⠀⠀⠀⠀⠀⠀⢠⡇ ⠀⠈⢿⣷⣦⣿⣿⣿⣿⣿⣿⣿⠟⠙⠿⠋⠈⢿⣿⣿⠏⠀⠀⠀⠀⠀⠀⢀⡞⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡀⠀⣀⣤⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣴⠶⡏⣶⢎⡿⢻⡏⠶⢞⡇⠀⠀⠀⠀ ⠀⠀⣠⡾⠋⠁⠀⠀⠙⠐⠚⠁⠀⠛⠲⠛⠙⢷⡄⠀⠀ ⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡆⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⢠⢆⠀⠀⠀⠀⢠⢲⠀⠀⠀⢿⠀ ⢸⡀⠀⠀⠀⠀⠀⠀⠈⠢⡑⠤⢀⡠⢃⠎⠀⠀⠀⣬⠀ ⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠂⠁⠀⠀⠀⣰⠏⠀ ⠀⠘⠵⣴⣆⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⣀⡤⡾⠋⠀⠀ ⠀⣀⣠⡿⠉⠛⣳⣶⠶⠶⠾⣿⠶⠛⠋⠉⣹⣧⡀⠀⠀ ⠈⠫⣎⣷⠀⠋⡜⢳⠀⠀⠞⢫⣑⠂⠀⠐⠁⢃⣉⢠⠄ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠤⢄⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡚⠃⠤⢀⡀⠀⠀⠙⢦⠀⠀ ⠀⠀⠀⠀⠀⢀⡠⠤⠤⠤⣄⡀⠀⠀⠀⠀⠀⣀⡠⠤⠤⠤⠤⠴⠒⠋⠉⠈⠉⠉⠒⠦⣀⠀⡹⠁⠈⠉⠒⠤⣈⠑⢤⡀⠀⠱⡀ ⠀⠀⠀⡠⠊⠀⣀⠤⠒⠉⢉⠙⢦⣀⠴⠒⠉⠀⠀⠀⠀⠀⣀⣦⠀⢀⡤⠒⠀⠀⠀⠀⠀⠙⢧⡈⠑⠢⢄⡀⠀⠁⠢⣈⠢⡀⣧ ⠀⠀⡜⠀⡠⠊⠁⣀⠔⠊⠁⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣷⡡⠔⠊⠉⠓⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠦⣄⠀⠈⠑⣌⡏ ⠀⢸⡠⠊⢀⡴⠊⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠲⣾⡷⣤⣀⡼⠁ ⠀⢸⢁⡴⠁⠀⠀⢀⡤⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⣀⣤⣤⡀⠀⠀⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡞⠉⠀⠀ ⠀⠈⢿⠀⢀⡤⠊⠁⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡿⠷⣦⠼⠛⠉⠘⠳⡀⠀⢘⣄⠀⠀⠀⠀⠀⠀⠀⢄⡀⠹⡄⠀⠀ ⠀⠀⠀⠱⢯⣀⡀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠒⣾⣤⡆⠀⠀⢰⣆⠀⠀⠈⡟⢦⣷⠀⠀ ⠀⠀⠀⢸⠀⠀⠉⡽⠀⠀⠀⠀⠀⠰⣄⣀⠴⣿⣯⡭⠤⠝⠂⠀⠀⠀⠀⠀⠀⣴⣷⣏⡐⠉⠳⠄⢀⣾⣿⠀⠀⠀⢸⠞⠛⠀⠀ ⠀⠀⠀⠈⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⢸⡛⢒⣼⣿⣧⣤⠀⠀⠀⠀⠀⠀⠀⣼⡟⢉⠉⠻⣷⣶⢚⢡⣷⠃⠀⠀⡀⠸⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⠟⣡⡬⣽⣷⠄⠀⠀⠀⠀⠀⢿⣏⢘⣿⣧⠈⢿⣷⣟⠟⠀⠀⣠⣷⠃⠸⡀⠀⠀ ⠀⠀⠰⠀⠀⣠⠻⣼⠀⠀⠠⢄⣀⣰⢯⣡⡏⠐⠻⣷⣿⣧⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⠙⡇⢸⠟⠓⢦⣔⠺⣿⢧⠀⠀⢧⠀⠀ ⠀⠀⠀⠀⡴⠁⢀⡿⢆⠀⠀⣀⣠⡾⠹⢿⠀⣿⠶⡏⠈⢻⠀⠀⠀⠀⠀⠀⠀⢣⣻⠘⣷⠇⠀⠀⠀⡿⡍⠀⣿⡄⠣⡀⠈⡄⠀ ⠀⢠⢀⠎⠀⡴⠋⡇⠀⠙⢺⠁⢰⣧⠀⠀⠀⠘⢆⣇⣠⠞⠀⠀⠀⠀⢠⡀⠀⠀⣉⣛⡥⣤⠀⠀⢸⣴⠁⡰⠉⡷⡄⠳⡀⠡⠀ ⠀⣾⠃⢀⠞⠀⢸⠀⠀⠀⠀⢣⡈⢆⣣⠀⠀⠒⠂⠄⠀⠀⠀⠀⢠⣤⣄⣤⣤⠀⠀⠀⠀⡈⠀⠀⣯⣬⠚⠁⠀⡇⠘⡄⠱⡀⠀ ⠰⠁⡠⠋⠀⠀⢸⠀⣴⡖⠒⢲⣿⠦⠽⣧⡀⠀⠀⠀⠀⠀⠀⠀⠈⣯⠈⢹⡿⠀⠀⠀⠀⠀⢀⣴⠟⢹⡦⣤⠤⣵⠀⠘⡄⠱⢀ ⠀⡰⠁⠀⠀⠀⢸⠞⠀⠹⣤⠼⡅⠀⠀⠈⠉⠲⢤⡄⠀⠀⠀⠀⠀⠘⠿⠿⠃⠀⠀⢀⣠⢶⣿⠛⢆⠀⣷⡇⠀⠹⡄⠀⠘⡄⢻ ⠈⠀⠀⠀⠀⠀⡞⠀⠀⠀⠘⣦⠱⡀⠀⠀⠀⢀⡏⢹⠦⣄⣀⡠⠖⠙⢆⠀⠀⠀⣠⡯⠀⠀⠈⠳⣌⢣⣿⠁⠀⠀⣿⡄⠀⠘⡞ ⠀⠀⠀⠀⠀⢸⠁⠀⢀⣀⡀⠈⢧⡹⣄⠀⠀⣼⡀⠘⣆⡠⠋⠀⠀⠀⠈⢻⣖⣿⡞⠁⠀⠀⠀⠀⠈⡆⡟⠀⠀⠀⢻⡇⠀⠀⡇ ⠀⠀⠀⠀⠀⡞⠀⠀⠐⠀⠀⠀⠠⣿⣮⡶⢾⠀⠹⡄⢹⣄⠀⠀⠀⠀⠀⠀⠙⣿⠀⠀⠀⠀⠀⢀⡴⠋⡇⠀⠀⠀⠈⣏⠀⠀⠁ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠹⣝⣷⠈⡇⠀⠹⣄⣿⠻⣶⠤⢀⡀⠀⢀⣾⠀⠀⠀⢀⡴⢿⡀⢸⠀⠀⠀⠀⠀⠸⡀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡂⠃⢀⡴⠋⡇⠀⠀⠙⠒⠶⠒⡟⢿⣦⠤⠜⠋⠀⠀⠱⣼⠀⠀⠀⠀⠀⠀⢧⠀⠀ ⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠶⠋⠀⠀⢳⡀⠀⠀⠀⠀⠿⣿⣾⣧⣤⣄⠀⠀⠀⣠⠋⠳⣄⡀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⠀⠈⠙⡀⠀⠀⠀⠀⠀⢀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠉⠒⠤⣄⣀⣴⣿⠻⢻⣌⣁⣀⡤⠖⠁⠀⠀⠀⠑⢦⣀⣀⠀⡇⠀
⠀⠀⠀⠀⣀⠴⠚⠛⠉⠉⠉⠉⠉⠙⠲⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢤⣄⠈⢳⡀⠀⢇⠈⠉⡆ ⢰⠃⠀⠀⣠⠶⠚⠋⠙⠲⣄⠀⠀⡰⢁⣤⣄⡈⢳⡀⣧⠀⣀⡑⠊⠀ ⣼⠀⠀⡞⠁⢀⣤⢾⣿⣶⣬⣳⡄⣷⠛⢻⣿⣿⡄⣷⢸⡆⠣⠜⠀⠀ ⡿⡀⢸⠁⢠⣧⣀⡼⢿⣿⣿⡏⡿⣿⣷⣯⣿⣿⣷⡟⣼⡇⠀⠀⠀⠀ ⠰⢡⠈⢆⣿⣿⣿⣿⣿⣿⢿⡿⠃⢻⣿⣿⣿⣿⡟⠀⡙⠀⠀⠀⠀⠀ ⠀⠑⢄⠀⠛⠿⠿⣿⠿⠿⠛⠁⠀⠀⠙⠛⠛⡁⡠⠊⠀⠀⠀⠀⠀⠀ ⠀⡄⠒⠳⣴⡢⣄⣁⠀⠀⠀⠀⢀⣀⡤⣔⠏⠊⢁⡤⠒⢠⠀⠀⠀⠀ ⠀⠱⡄⠀⢿⣀⠉⣘⣛⣛⡛⠉⠋⢈⣁⣀⣀⣀⣸⠀⢀⡞⠀⠀⠀⠀ ⠀⣾⠁⠀⠀⠀⠀⠀⠀⠈⠙⣽⠛⠉⠀⠀⠈⠉⠁⠀⠈⢿⠀⠀⠀⠀ ⠸⣿⠀⠀⠀⠀⠀⠉⠛⣧⠈⠉⠐⢺⡟⠉⠁⠀⠀⠀⠀⣸⡄⠀⠀⠀ ⠀⠀⠑⢄⣀⠀⠀⠀⣸⠇⠀⠀⠀⠘⣇⡀⠀⠀⢀⣠⡾⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠈⠙⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀
🧺🍇🍈🍉🍊🍋🍌🍍🥭🍎🍏🍒🥝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠲⠤⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠀⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⢠⣿⡟⡆⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢳⠀⣸⣿⢿⢱⠀⠀⠀⢀⣠⣴⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⢰⠃⠀⣷⣿⣿⠇⠈⣆⣀⣴⣿⣿⠟⡇⠀⠀⢀⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⢺⡀⠓⢄⢸⠀⠀⢹⣿⣯⡀⠀⢻⣿⠻⣿⣯⡼⠀⠀⣠⣾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡶⢄⡀⠀⠀⠀⡇⠀⠈⢻⡀⠀⠘⣿⣿⣯⣳⣿⣿⡷⠉⣹⣁⡠⢊⢥⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠉⠢⣄⠀⢱⠀⢀⣨⡇⠀⠀⣿⣿⣿⣿⡿⠻⠛⠋⠉⣿⣘⠙⡏⠀⠀⣀⣠⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠶⢶⣦⠀⡀⠙⣦⣄⣄⠈⣧⣺⣷⠞⢿⣇⠀⠀⢹⣿⡟⠋⠀⠀⠀⠀⢀⣿⣿⣿⣶⣾⣻⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢌⠑⣾⣮⣮⣳⣿⣧⡏⠀⠈⢿⣦⡄⢸⣿⣄⣠⡖⣿⠁⠀⣸⣿⣿⣿⡿⠋⠁⠀⠀⢀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠶⢖⡤⢌⣣⠈⢿⣇⠱⡻⣿⣅⡀⢀⠾⠁⣼⣿⡟⠁⠈⠋⡏⠀⠀⣿⣿⡿⣿⣴⣶⣿⢻⠿⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⡇⠀⢿⡄⠹⢿⣿⣾⣿⣷⠿⢻⡟⠃⠀⠀⢀⣇⠀⢠⣿⣿⣷⣿⣿⡿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⠈⢻⣆⠀⢿⣿⣿⣿⣿⣿⣷⠀⠀⠈⢸⡗⠀⢸⣿⣿⠿⢋⣵⠞⠈⠓⡦⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢤⣤⣤⣄⣀⣘⣿⣷⣼⣿⣷⣾⣿⠛⣿⣿⣿⡿⣦⢀⠀⣼⠟⢀⡿⣋⣤⣾⣟⡩⠀⠀⠀⠀⠀⢰⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡼⠾⢿⣧⣀⣹⣿⣿⢿⢿⣿⣿⣿⣏⣣⣼⡿⠿⣿⣿⣿⣠⢾⣾⣿⣿⢉⠀⠀⠀⠀⠀⠀⠀⠘⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠛⠁⢀⣠⣴⣠⣹⣿⣿⣿⣽⡿⣿⣯⣿⣿⣿⣿⢇⡤⣿⣿⣿⣿⣷⣿⠿⠿⢷⡕⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣴⡟⠋⣉⢩⣾⣿⣿⣿⡿⣿⣇⠈⠙⠻⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠶⢤⣀⠇⠀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠼⣷⣾⣿⡛⢿⣿⠿⢏⠀⠈⠛⠷⢴⣤⣼⣿⣿⣿⣿⠿⣿⣿⢿⣿⡿⠦⡀⢹⣄⡼⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡾⣿⠛⢻⣿⣤⣟⣽⣿⣄⡀⢀⣠⣶⣾⣿⣿⣿⣿⣿⢿⢿⣷⣾⡄⠀⠙⢷⡠⠹⡈⢫⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⣻⣷⣿⣿⣿⣭⣽⣿⣼⣬⣽⣿⢿⣷⣿⣽⣿⣿⣽⡯⣙⣦⠛⠳⣌⣻⣶⡀⠀⠁⠀⡇⠈⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⢿⣿⣫⠞⢀⣿⡷⠤⠘⣇⣿⡿⢿⣸⣾⡹⠿⢟⡟⣿⣿⡷⣿⣿⠀⠀⠹⣿⠟⢿⣦⣬⡀⡝⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣿⣿⡞⣿⣀⣓⣛⢿⣧⣤⣤⣟⠛⣷⣶⡯⢭⣬⡷⣾⣽⢞⣿⣯⣵⣿⡏⠀⠀⢱⡀⠀⠈⠻⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣿⣿⠟⢷⣿⣏⣠⣾⠀⢸⡿⣅⣴⡀⣸⡟⢷⣿⣬⣷⣏⠉⠀⢈⣷⣬⣽⣿⠃⠀⠼⠁⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⡇⣿⣷⡚⢻⣧⠇⠳⣶⣿⣇⠛⠚⣛⣻⣷⣬⣁⠤⣞⣻⡷⣴⢋⡙⣽⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣿⣧⣳⣏⣿⠀⣸⣿⡶⠖⣛⠯⣿⣿⣻⠉⢧⣈⢻⠹⣟⡝⠻⣜⡎⠉⠂⣚⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⣏⣿⢿⡿⢉⣩⣿⣿⢻⣼⣿⠀⠀⡏⢻⣴⡋⠈⢸⡇⠁⠈⢉⣽⡟⢶⠊⣯⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⣿⡾⢧⠈⣿⣾⢿⣇⢸⣶⠷⠌⢒⣒⣧⡉⠀⢉⣩⠽⠷⣶⣖⠁⣰⣿⣼⡷⢹⡣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⣽⡟⢤⣼⣿⣿⠸⡼⠯⣿⣴⣾⣻⣯⠉⢻⣿⣿⠗⢨⢷⢿⠑⢺⡁⢻⣤⣽⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠼⣿⢻⣯⣇⣿⣓⣀⠾⣿⠿⡋⢉⢻⢹⠄⡇⠳⠞⢁⣀⣿⣆⣠⣴⣿⡝⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠒⠺⣇⠘⠂⣾⣿⠧⡀⣿⡀⠿⠛⠻⠼⢇⣿⣤⣠⡤⢞⡹⣿⢟⡽⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠷⣼⡏⡇⠀⢱⢸⡿⢀⣆⣀⣤⣴⡟⠙⢏⣁⠾⢷⡿⢫⠚⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣷⠒⠚⠂⣷⣛⣏⣭⣌⣻⣗⠘⣻⠼⢓⡺⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠛⠻⢿⣄⠹⠝⢋⣘⣋⣧⠮⠴⠖⠋⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⠓⠒⠛⠶⡖⡚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣀⡀⠀⠀⠀⣠⠶⡄⠀⢀⣀⣠⠄⠀⠀ ⠀⠀⠀⠉⠻⡓⢄⢰⠃⠀⢹⡴⢩⠏⠁⠀⠀⠀ ⠀⠀⠈⠳⣶⢷⣈⡏⢀⣤⡀⣇⡧⠴⡲⠟⠀⠀ ⠀⠀⠀⠀⠈⢣⠈⢳⡎⠀⢳⠋⢀⠞⠁⠀⠀⠀ ⠀⠀⠀⠈⠳⣦⣇⢸⠁⣀⠈⡇⡾⣶⠏⠀⠀⠀ ⠀⠀⠀⠀⢀⣹⡎⢻⡼⠈⣧⠋⣴⣁⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⡝⠦⡇⠀⣸⠞⡽⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠖⢻⠟⠛⠛⣿⠓⠳⣄⠀⠀⠀⠀ ⠀⠀⢠⠞⢇⡠⠁⠱⡀⡰⠁⠑⢤⡋⠱⡄⠀⠀ ⠀⢠⣇⡠⠊⢆⠀⢀⠜⠣⡀⢀⠎⠈⠢⣼⡆⠀ ⢀⡟⠩⡀⠀⠀⠱⡂⠀⠀⢨⠮⣀⠀⢠⠃⠸⡄ ⢸⠁⠀⣑⡔⠈⠀⠈⢢⣔⠁⠀⠀⢱⠣⢄⡀⡇ ⢸⢖⠈⠀⠈⠢⣀⠔⠁⠈⠑⢤⡔⠁⠀⠀⡘⣷ ⢸⡈⠢⣀⠤⠊⠉⠢⢀⠀⡠⠊⠀⠁⢒⠼⢀⡇ ⠈⣇⠉⠈⠢⡀⠀⡀⠔⠉⠢⠄⣀⡠⠂⠀⢰⠃ ⠀⠸⣄⡀⠤⠚⠙⠄⡀⠀⢀⠤⠊⠉⠀⣲⠏⠀ ⠀⠀⠘⢗⠤⡀⠀⡀⠬⠓⠃⠤⣀⣠⣪⠏⠀⠀ ⠀⠀⠀⠈⠑⢮⣙⠢⢄⣀⠤⣂⡥⠚⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⢻⡄⠀⠀⠀⣠⡀⠀⠀⣰⣿⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⠀⢧⠀⠀⢠⢿⡇⢀⠞⢹⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠀⠀⠀⠀⡄⠀⠀⢸⠀⠘⡆⢠⠏⢸⣧⠋⠀⡿⠀⠀⠀⠀⢀⡀⠀ ⠀⠀⠈⠿⡶⢤⣀⠀⢻⡷⣄⢸⠀⠀⢻⡏⠀⣸⠋⠀⢸⠃⠀⠀⣀⣴⣾⠿⠀ ⠀⠀⠀⠀⠙⣦⠈⠳⣄⣳⠈⢿⠀⠀⠀⢧⣰⠃⠀⠀⣾⣠⠴⠋⣱⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠈⢣⠀⠀⠙⢦⣸⠀⠀⠀⢸⠃⠀⢀⡼⠛⠁⢀⡼⠃⠀⠀⠀⠀ ⢀⣄⣀⣀⣀⣀⠀⢷⠀⠀⠀⠙⣤⡀⢀⡏⠀⣠⠟⠀⠀⠀⡜⢁⣀⣤⣴⡶⠀ ⠈⠉⠑⠲⣌⡉⠉⠚⠣⣤⡀⠀⠈⢳⣘⠀⡴⠁⠀⢀⣠⠜⠋⢉⡵⠞⠁⠀⠀ ⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠉⠳⢤⡀⠹⡞⠀⣠⠶⠉⠀⢀⡴⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠙⠛⢁⡼⠁⠀⠀⢨⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⢠⠏⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠛⠲⢄⡀⠟⠀⣀⣤⠤⠾⢳⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠛⣧⠀⠀⢀⡤⠟⠻⢯⡁⠀⠀⢀⣰⠟⢷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠏⠀⠀⠈⣷⣴⡋⠀⠀⠀⠈⠳⣄⣴⠋⠀⠀⠀⢻⡄⠀⠀⠀⠀ ⠀⠀⢀⡿⣇⠀⠀⣰⠞⠁⠈⢳⡀⠀⠀⢀⣤⠟⠉⠳⣄⠀⠀⠀⣻⣧⠀⠀⠀ ⠀⠀⡼⠀⣹⡦⣾⠁⠀⠀⠀⠀⠻⣄⣠⠞⠁⠀⠀⠀⠈⢓⡦⣿⠋⢹⡄⠀⠀ ⠀⣸⣧⠞⠁⠀⠙⢦⡀⠀⠀⣠⡴⠋⠙⠢⣄⠀⠀⠀⣰⠋⠁⠙⢦⡀⣧⠀⠀ ⠀⡿⣇⠀⠀⠀⠀⠀⢱⣤⣼⠃⠀⠀⠀⠀⠀⠑⣦⣞⠁⠀⠀⠀⠀⠉⣻⣷⠀ ⢸⡇⠘⢦⡀⠀⣀⠴⠋⠁⠈⠳⣄⡀⠀⢀⡴⠚⠁⠈⠳⢦⣀⠀⢀⡾⠉⢸⠀ ⠸⡇⢀⡤⠟⠿⣄⠀⠀⠀⠀⠀⠀⣙⡶⢇⠀⠀⠀⠀⠀⠀⢈⡿⠻⠤⣀⣸⠀ ⢀⣿⠋⠀⠀⠀⠙⢦⡀⠀⠀⢠⠞⠋⠀⠈⠳⣄⠀⠀⢀⡴⠋⠀⠀⠀⠀⣹⡆ ⢨⣿⡄⠀⠀⠀⠀⠀⠙⣦⣴⠋⠀⠀⠀⠀⠀⠈⣹⠒⢯⣀⠀⠀⠀⠀⣰⠋⡇ ⠈⣷⠙⣦⠀⠀⢀⣴⠎⠉⠙⢧⡀⠀⠀⠀⢀⡼⠁⠀⠀⠈⠑⠦⣤⣾⡁⢰⠇ ⠀⠸⡇⢈⣳⢤⡞⠁⠀⠀⠀⠀⠙⠲⣤⣴⠋⠀⠀⠀⠀⠀⢀⡼⠁⠀⠉⣻⠀ ⠀⠐⢿⠉⠀⠀⠹⢦⡀⠀⠀⣠⠴⠋⠁⠀⠙⠢⣄⣀⣀⡴⠋⠀⠀⠀⡼⠇⠀ ⠀⠀⠈⠳⣄⠀⠀⠀⠙⣲⠺⢥⣀⠀⠀⠀⠀⢠⡴⠋⠉⠓⠢⢤⣠⡾⠃⠀⠀ ⠀⠀⠀⠀⠈⠳⣤⠖⠋⠀⠀⠀⠉⠓⢤⣠⠞⠁⠀⠀⠀⠀⢀⣠⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠲⠶⠤⠤⣄⣀⣼⣁⣀⣀⣠⠤⠶⠋⠉⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠁⢀⡠⠒⠈⠉⠐⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠋⠀⠀⠀⠀⠀⠀⠈⢿⢆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠄⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⡈⢇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡌⡄⠀⠈⠁⠀ ⠀⠀⠀⠀⡐⠀⠀⠀⠀⡀⠀⡀⠀⠀⠀⠀⢿⣥⡇⠀⠀⠀⠀ ⣀⡀⠀⡰⠀⠀⠀⡰⠊⠀⠀⢈⠢⡀⠀⠀⠘⣏⣿⡀⠀⠀⠀ ⠈⠁⡠⠅⡄⠀⡜⠸⠶⣶⠆⠾⠀⢰⡀⠀⡠⢸⣿⡇⠀⢠⡀ ⠀⢌⠠⡖⠁⠀⡇⠀⠀⠀⠀⠀⠀⣬⠇⠀⠱⢀⠙⡇⠀⠀⠀ ⠀⠀⠀⠱⡀⠀⠱⣗⢲⠤⠶⣶⣘⠟⠀⠀⢀⣾⣿⠇⠀⠀⠀ ⠀⢀⣤⠀⠈⠢⣀⠀⠉⠉⠉⠉⠁⠀⢀⣠⣾⡿⠋⠀⠀⠀⠀ ⠀⠀⠁⠀⠀⠀⠸⡉⡒⠂⠀⠴⡖⢸⠛⠋⠁⠀⠠⠦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠘⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣿⠟⠋⢹⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⠿⠟⠛⠉⠁⢠⣤⣤⣿⡿⠛⠿⢿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠋⠀⠀⠀⠀⠀⠀⠈⠉⠛⠉⠀⠀⠀⠀⠀⠉⠻⢿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠿⠿⣶⡀⠀⠀⠀⣠⣤⣤⠀⠹⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⢠⣶⣶⣦⠀⠀⠀⠀⢰⣿⠁⠀⢀⣿⡇⠀⠀⠀⢿⣿⣿⠇⠀⢻⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠠⠔⠋⠀⠸⢿⣿⠟⠀⠀⠀⠀⠘⣿⡿⠿⢿⣿⠀⠀⠀⠀⠀⠉⠁⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⣷⣿⣿⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣶⣾⡿⠀⠀⠀⠀⠀⠸⡆⠀⠀⢸⣿⣷⣶⣶⣄⠀⠀ ⠀⢰⣿⠋⠁⠀⠀⠉⠛⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⢸⣿⡇⠀⠈⢻⣷⠀ ⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⡀⠀⢀⣿⡇ ⢸⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⢀⣾⡟⠀ ⠀⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡿⠋⠀⠀ ⠀⣿⡇⠉⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡅⠀⠀⠀ ⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀ ⠀⠘⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀ ⠀⠀⠹⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠹⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣴⣶⠿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠀⠀⠉⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣮⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠘⡷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠣⡙⢯⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⢸⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⡂⠀⠀⠱⡀⠙⢷⡦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⡟⠀⠀⠀⠈⡄⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⡈⠁⠀⠀⠀⠑⡄⠀⠙⢗⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠿⠁⠀⠀⠀⠀⡇⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠸⡄⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⡀⢸⠿⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⠀⠀⠀⢦⢄⣘⣟⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠺⠧⣀⣀⠀⢠⢧⡘⡆⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣧⣀⣀⣈⣣⡀⠉⠳⣄⠀⠀⠀⠙⢟⢦⡀⠀⢀⣀⢀⣀⢀⢸⡧⠀⠀⠀⠉⠛⠀⠱⡇⠀⠀⠀⢯⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⠬⠂⠀⠀⠀⠀⠀⠈⠳⣄⣀⠤⠔⠓⠛⡛⠉⠉⠉⠉⡝⠉⠀⠀⠀⠀⠄⣀⠀⠀⢻⠀⠀⠀⠈⣟⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢐⣞⡉⠀⠀⠀⠀⠀⠀⣀⠤⠖⠊⠁⠀⠀⠤⠒⠒⠉⠁⠀⠑⠢⡈⠉⠒⠤⣀⣀⡀⠀⠉⠁⢸⡀⠀⠀⠀⢱⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠻⣽⢀⡤⠖⠉⠀⠀⡔⠁⣠⠔⠊⠑⠒⠤⢄⡀⠀⠀⠀⠈⠢⡀⠀⢀⣍⡠⠤⠒⠒⠋⢦⠀⠀⠀⠀⢿⢆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⢄⠾⠋⠁⠀⠀⠀⢀⣎⡤⠊⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⢄⡀⠀⠈⠢⡉⠀⢀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠱⡳⡀⠀⠀⠀ ⠀⠀⢀⡤⠊⠁⠀⠀⠀⠀⠀⢠⠟⣹⠡⠤⠤⡄⠀⠀⠀⠀⢠⡤⠐⠀⠀⡈⠑⠢⣀⠈⢢⣸⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠘⣕⡄⠀⠀ ⠀⠀⢸⠀⢠⠃⠀⠀⠀⠀⣰⠃⡜⠉⠒⠤⠔⠁⠀⠀⠀⠀⠈⠳⠤⠒⠉⠀⠀⠀⠀⠑⠦⣹⠀⠀⠀⠀⠀⡠⠀⠘⣄⠀⠀⠀⠈⣞⠀⠀ ⠀⠀⠬⠀⡆⠀⠀⠀⠀⣰⢃⣘⡀⠠⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣒⣠⣤⣤⡤⠀⠈⠘⡆⠀⠀⡼⠊⠀⠀⠀⠘⡄⠀⠀⠀⢸⢆⠀ ⠀⠀⡧⠘⠀⠀⠀⠀⣼⣧⣾⠟⠛⣛⡿⠶⣿⠀⠀⠀⠀⠀⢀⡿⠟⠛⣛⣉⣉⠛⢿⣶⣄⠰⡇⠀⠀⢰⠀⠀⠀⠀⠀⠹⡀⠀⠀⢸⠘⣆ ⠀⠀⡇⠀⠀⠀⠀⣼⣿⠏⠁⢰⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠐⢀⣛⣿⣿⣿⣷⡄⠙⢿⣷⣅⠀⠀⢸⠀⠀⠀⠀⠀⢀⡇⠀⠀⠠⠀⢸ ⠀⠐⡇⠀⠀⠀⣼⢹⣷⠀⢰⣿⠛⣿⣽⠛⠂⠀⠀⠀⠀⠀⠀⠀⢺⣿⣭⡟⢻⣿⣿⠀⢱⣿⠛⠒⠀⢸⠀⠀⠀⠀⠀⢸⠁⠀⠀⢸⠁⢸ ⠀⢘⡇⠀⠀⢠⣇⡼⠁⠓⠼⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠺⠧⡠⠎⢸⠀⠀⠀⢸⠀⠀⠀⠀⣠⠏⠀⠀⠀⡸⠀⡾ ⠀⢰⠃⠀⢠⢯⡏⣀⣀⢔⡂⠀⠀⠀⢀⣀⣀⣀⣤⡤⢤⣀⡀⠀⣀⡀⠀⠀⠠⣤⣤⣄⣀⣸⠀⠀⠀⢸⠀⠀⠀⡰⡿⠀⠀⠀⢰⢁⣞⡅ ⠀⣾⠀⢀⡞⠐⣯⠟⢡⠀⠀⠀⠀⠀⠀⣾⢯⡛⡱⢪⠕⡪⠵⢾⡙⣆⠀⠀⠀⢀⡉⠺⣭⡿⠀⠀⠀⢸⠀⠃⡰⢱⢳⠀⠀⢀⢧⡞⠎⠀ ⣰⡏⠀⡼⠀⠀⢧⣴⡏⠀⠀⠀⠀⠀⠀⡟⢦⠱⣑⢣⠚⡥⢋⠦⡑⢾⡀⠀⠀⠀⠹⣦⣌⡇⠀⠀⠀⢸⠀⡜⠁⡜⢰⠀⠀⣸⢺⠈⠀⠀ ⡿⠀⢠⠇⠀⠀⠈⣻⡇⠀⠀⠀⠀⠀⠀⣟⢢⠓⣌⠦⡙⠴⣉⠖⣩⢒⡇⠀⠀⠀⠀⢹⣾⠃⠀⠀⠀⢸⡜⠀⢠⡇⢸⠀⠀⡇⢸⡀⠀⠀ ⠁⠀⡞⠀⠀⠀⠀⡏⢳⡄⠀⠀⠀⠀⠀⠘⣎⡱⢌⠲⣉⠳⢌⢎⡑⢎⡇⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⣸⠀⠀⡼⣧⠘⡄⠀⡇⠈⡗⠀⠀
⠰⢆⠤⢀⠀⠀⠀⠀⠀⣀⢶⡠⡄⠀⠀⠀⣀⠤⡰⢦⠀⠀⠀⠀ ⡇⠀⠙⢆⢉⠦⠒⠂⠉⠀⠀⠀⠁⠒⠴⡈⡠⠊⠀⠸⠀⠀⠀⠀ ⡇⠀⠀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡀⠀⢰⠀⠀⠀⠀ ⢰⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠀⡘⠀⠀⠀⠀ ⠀⢳⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠁⠀⠀⠀⠀ ⢀⠎⠀⠀⠋⠉⠛⠲⠀⢀⣀⠀⠰⠛⠉⠙⠂⢰⠘⣀⠀⠀⠀⠀ ⠈⢠⣀⠀⠀⠀⠀⠀⠐⡔⢧⠂⠀⠀⠀⠀⠠⢊⢠⠂⠀⠀⠀⠀ ⠀⠈⠢⣀⢦⠘⠻⣭⣿⣧⣴⣯⣉⡉⠡⢶⢆⠔⠁⣀⢀⡀⠀⠀ ⠀⠀⠀⢠⠚⠶⡄⠀⠀⡇⡆⡀⠀⢀⠶⠛⢄⠀⠐⢇⠀⠪⠢⡀ ⠀⠀⠀⠰⡀⢐⠿⠀⠰⠥⠭⠤⠀⠻⡂⢀⡜⠀⠀⠀⠱⡀⠱⢡ ⠀⠀⠀⢀⡏⡟⠀⠀⠀⠀⠀⠀⠀⠀⣯⠉⡀⠀⠀⠀⠀⡇⠀⢸ ⠀⠀⣾⣿⣿⢇⡇⠀⢠⡀⠀⠀⠀⢠⢸⢺⣿⣷⠀⢀⡰⠁⢀⠎ ⠀⠀⢫⠹⠨⢻⢁⣇⣜⣷⣾⣧⡛⢸⡘⠅⠏⡹⠉⢁⡀⠔⠋⠀ ⠀⠀⠀⠱⡀⠸⡜⠕⢛⣻⣃⣟⠡⢂⡇⢀⠜⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠁⠉⠀⠐⠂⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠴⠒⠛⠛⠉⠉⠙⠛⠒⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⠁⠀⠀⠠⣶⣤⣀⠀⠀⠀⠀⠀⠀⢀⣤⣶⠆⠀⠀⠈⠱⣄⠀⠀⠀ ⠀⠀⡰⠃⠀⢀⣀⣀⣀⣀⣭⣿⣷⠆⠀⠀⠰⣾⣿⣭⣀⣀⣀⣀⣀⠀⠈⢢⠀⠀ ⠀⡸⠁⠀⡴⠁⠀⠀⠛⢋⠉⠁⢀⣀⠀⠀⢀⡀⠈⠉⢙⠛⠁⠀⠀⠱⡄⠀⢧⠀ ⣿⠇⠀⠀⣇⠀⠀⠀⠀⣸⠀⢠⣾⣿⣿⣿⣿⣿⡄⠀⢸⡀⠀⠀⠀⢠⡇⠀⠈⣇ ⣿⠀⠀⠀⠈⠲⠤⠤⠖⠁⢀⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠑⠦⠤⠴⠊⠀⠀⠀⢿ ⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸ ⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢿ ⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀ ⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀ ⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠔⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣉⠑⠒⠤⢤⣤⣀⣀⣤⣤⠤⡖⡺⣛⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠄⠒⠒⠉⠉⠉⠉⠉⠓⠂⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠄⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀ ⠀⠀⡰⠁⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠢⠀⠀ ⠀⡐⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣦⠀⠀⣰⣾⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠱⠀ ⡰⠀⠀⢀⣴⣿⠟⠉⢈⠟⠁⢹⣿⣿⡇⢀⣿⠟⠁⠀⡬⠛⣿⣿⣿⣷⣄⠀⠀⢡ ⡇⠀⣠⣿⡿⠁⠀⠀⢎⠀⢀⣼⣿⣿⡇⢸⠏⠀⠀⠘⠀⣰⣿⣿⣿⣿⣿⣦⠀⢸ ⡇⢠⠃⡿⠁⠀⠀⠀⠀⣷⣿⣿⣿⣿⡿⢸⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡆⢧⢸ ⡇⡞⠀⡇⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡇⢸⣆⡀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⢸⢸ ⡇⢧⠀⢷⣄⣀⣀⣴⣿⣿⣿⣿⣿⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢸⢸ ⢰⠸⡄⠘⣿⡟⠻⣿⣿⣿⣿⣿⣿⡿⠁⠀⢻⣿⡉⠙⣿⣿⣿⣿⣿⣿⡏⠀⡞⡸ ⠀⢂⠹⣄⠘⣧⣠⣾⣿⡿⢿⣣⡿⠁⠀⠀⠀⠻⣿⣿⢿⡿⢟⣾⣿⠏⢀⠜⠠⠁ ⠀⠀⠢⡈⠑⠚⠿⠷⠶⠿⠟⠋⠀⠀⠀⠀⠀⠀⠈⠛⠿⠾⠿⠿⠕⠛⠁⡰⠁⠀ ⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀ ⠀⠀⠀⠀⠀⠑⠠⡀⠀⠀⠀⠀⠀⠠⠞⠙⠦⠀⠀⠀⠀⠀⢀⡠⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠤⢀⣀⣀⣀⣀⣀⣀⣀⡠⠔⠂⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡤⠶⠶⠒⠒⠒⠒⢲⣴⣶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠘⠿⢿⣿⣿⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⣀⣀⠀⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡾⠀⢀⣾⣿⣿⣷⠀⠀⢠⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⢀⠟⠀⠀⢸⣿⣿⣿⡿⠤⠤⠈⢿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀ ⠀⠀⣿⠀⠀⠀⠀⠙⡟⠁⣶⣶⡆⠀⠈⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀ ⠀⠀⠹⡄⠀⠀⠀⠀⡇⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣧⠀⠀⠀⠀ ⠀⠀⠀⢹⡄⠀⠀⠀⠙⢦⠀⢠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣋⣿⣆⠀⠀⠀ ⠀⠀⠀⣾⣿⢶⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣴⠾⣟⠛⢻⠿⡏⠁⢿⡀⠀⠀ ⠀⠀⣾⣿⢿⣴⡄⢈⡙⠛⠛⠷⠶⠶⠶⠾⠿⠛⣛⣯⣥⣾⠿⠐⠀⠀⠁⡀⢹⣧⠀⠀ ⠀⣸⣯⣿⣆⣸⣷⠈⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣿⠁⠀⠀⠀⠀⠀⠀⣿⣿⡆⠀ ⢰⣿⠀⣿⡼⡇⣿⣆⠁⠀⠀⠀⠀⠀⠀⠀⣠⡄⢀⣾⣇⠀⠀⠀⠀⠀⠀⢀⣿⣿⣷⠀ ⢸⣿⠀⡟⢸⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠙⢂⣾⠏⠁⠆⠀⠀⠀⠀⠀⢘⣿⣿⠿⡄ ⢸⣿⠀⡗⠀⠐⠀⣦⡿⣷⣤⣀⣀⣀⣀⣀⣠⣿⡃⠀⠀⠀⠀⠀⠀⠀⢡⣾⠋⠀⠀⣧ ⠈⣿⡄⢷⣬⠀⠐⠃⡈⠿⣯⡉⠉⠉⠉⣽⣿⠟⠁⠀⠀⠀⠀⠀⠀⣀⣾⠋⠀⠀⠀⣿ ⢠⡟⣿⡁⡿⠀⠀⠀⠀⠢⠜⢷⡄⣠⡾⣋⠁⠀⠀⠀⠀⠀⠀⢀⣶⠿⠁⠀⠀⠀⠀⣿ ⢸⡇⠈⠻⣦⡀⠀⢀⣀⠰⣦⣌⣿⡟⢘⣿⠀⠀⠀⠀⢀⣠⡼⠟⠁⠀⠀⠀⠀⠀⢀⡟ ⠀⢱⣀⠀⠈⠻⢦⣄⣐⣺⣷⣿⡟⠻⣿⣥⣤⣤⡶⠾⠛⠉⠀⠀⠀⠀⠀⠀⢀⣴⣿⠁ ⠀⠀⢿⣷⣦⣄⣀⠈⠉⠙⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣟⣻⡟⠀ ⠀⠀⠈⢿⣷⣿⣟⠛⠶⠶⢶⣤⣤⣤⣤⣠⣤⣤⣤⣤⣤⣴⣶⡾⠛⣻⣿⣿⣿⡟⠁⠀ ⠀⠀⠀⠈⠻⣿⡿⢸⣷⡄⣤⠀⠀⠁⠀⠀⠀⠈⢀⣀⣀⠀⡿⣫⢻⣿⠿⣷⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⡀⢨⣄⡻⠀⠀⠀⠀⠈⡛⠀⠈⠉⣉⣀⠀⠀⠘⣿⣶⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣷⣀⡙⠻⠷⢶⣶⣶⣴⣿⣶⣶⠿⠟⠁⠀⠀⠀⣹⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣇⠀⠀⠀⠀⠀⠀⣼⣇⠀⠀⠀⠀⠀⠀⠀⢀⣲⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⣇⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⣰⢿⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣶⣦⣦⣤⣼⣭⣿⠀⢠⣅⣀⣂⣰⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣽⣯⣿⣿⠞⠛⠷⣶⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⠿⠛⠛⠛⠉⠉⠉⠉⠀⠀⠉⠉⠉⠛⠛⠿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠷⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣴⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣻⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⣀⣀⠀⠀⠀⠀⠀⠘⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣿⣶⢶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⢼⡿⠟⠛⠛⠿⠀⠀⠀⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠻⢷⣿⠇⠀⠀⠀⠀⢀⣴⡿⠿⠿⠿⠇⠀⠀⠀⢾⣿⣿⣿⣟⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣿⠛⠁⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠶⠚⠛⠛⠿⢿⣿⣿⣷⣾⠟⢻⣷⣀⠀ ⠀⠀⠀⠀⠀⠀⣿⠃⠀⣀⣀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⣿⣄⡀⠀⠀⠀⠀⠀⣀⣼⠇⠀⠀⠀⠀⢤⣤⣄⣀⠀⢸⣿⡿⠀⠀⠀⠈⠛⣿⡇ ⠀⠀⠀⠀⠀⣸⣿⠟⠛⠉⠉⠁⠀⠀⠀⠀⠘⢿⣦⣄⣀⣀⣀⣠⣴⠞⠉⠙⠛⢿⣶⠶⠶⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠉⠙⢷⣾⠟⠁⠀⠀⠀⠀⠀⣿⡅ ⠀⠀⠀⣴⠟⢻⡇⠀⠀⣠⡴⠖⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠻⣧⡀⠀⠀⢀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⢀⣿⠏ ⠀⠀⠈⠁⠀⢸⣇⣴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⠾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀ ⠀⠀⠀⠀⠀⢠⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀ ⠀⠀⠀⠀⢠⡿⠉⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠁⠀⠀ ⠀⠀⠀⠀⠘⠀⠀⢸⣿⠻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠈⠓⠒⢦⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣇⡀⠀⠀⠀⢀⣠⣴⣶⡿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠻⢷⣶⣶⣿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣤⣤⣴⡟⠉⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⢸⡇⠀⢰⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⢾⣇⠀⣼⢰⠒⣬⣙⡶⠤⠖⠒⠒⠒⠲⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⡤⠶⠚⠋⡹⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⣇⡸⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢦⣀⠀⠀⠀⠀⠀⠀⠀ ⠾⣏⣤⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢳⣄⡀⠀⠀⠀⠀ ⠀⠹⣎⠂⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣤⡾⠀⠀⢨⡟⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣭⠉⣉⠓⣶ ⠀⠀⠙⣧⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠀⠀⠀⢀⣀⣀⣀⠸⠿⢿⠀⠀⠀⢸⡇⠀⢸⣃⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⡸⢡⠇ ⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣷⠀⠰⢻⡉⢹⠉⠁⠀⢸⡀⠀⠀⢸⡇⠀⠈⢿⣿⢇⡀⣄⠀⠀⠀⠀⡀⠀⠰⣆⡀⠀⠀⠀⠀⠀⠀⠹⣡⠏⠀ ⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠁⠀⠀⠈⢧⢸⡆⠀⠀⠀⠁⠀⠀⢸⡇⠀⠀⢼⡆⠀⠉⠙⠷⠆⠠⣿⣿⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀ ⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠃⠀⠀⠀⠀⠀⠀⢨⡇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀ ⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠋⠙⠓⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠯⣗⣂⣀⣀⣀⣶⣶⡶⠗⠀⠀⠀⠀⠀⠀⠀⠘⢷⣜⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣡⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠐⣆⠀⠈⠉⠛⠻⡗⠶⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠶⣶⠶⢦⠤⠤⠖⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢏⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠲⠶⠤⠴⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠲⢦⣄⣷⣀⡀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⢓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠋⠈⣽⠋⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⢻⣌⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠣⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣨⡞⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⡀⠛⠓⠛⠛⢶⣄⣤⣄⣄⣤⣄⣤⣤⣤⣂⡦⣤⡴⠧⠤⠤⢤⣄⣀⣀⣀⣀⣄⣀⣶⠒⠒⠋⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⠤⠦⠤⠶⠞⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠒⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⢿⣿⡿⢿⠟⣟⠫⣟⢿⡿⣟⠻⢿⠿⡿⠿⠿⣛⠛⠻⢟⠻⡛⢿⣿⣟⡻⢻⣿⣿⠿⣛⡛⣟⡿⣿⣿⣿⢟⣝⡾⣹⢏⣯⡝⣯⣻⡭⢷ ⢎⡳⣌⠳⣌⢫⡔⣣⠜⡢⠱⣭⢛⠬⡓⠥⢃⠒⠠⢈⠐⠌⠠⠈⠄⠚⢿⣵⢃⡴⢌⢳⣡⢛⡾⣷⣿⠿⣿⡾⣹⢞⣭⢟⣶⣻⢷⢫⠓⣿ ⢏⠶⣩⠷⣌⠳⡜⡡⢎⠱⣡⠢⢌⠢⠑⡌⢠⠈⡐⠂⠀⠄⡁⠌⢀⠢⠠⠙⣎⠲⣍⠖⣻⣷⣼⣶⠏⡞⡽⢳⣽⣚⢧⣛⠶⣉⢦⢇⡇⡿ ⠊⢇⢃⠓⣌⠓⡌⠱⣈⠒⠄⢃⠄⢃⠡⠐⡀⠂⠀⠄⠁⠐⠀⠐⠀⢂⠑⡈⡐⢫⠤⡉⢒⢿⣿⡟⡸⢌⣳⣏⢶⢫⢗⣯⢾⡱⡞⢮⡑⣿ ⢣⠜⣀⠇⡘⠼⡀⢇⡀⢛⡘⠄⡘⠀⠄⢃⠠⢀⠃⠄⠘⡀⢃⠘⠠⠀⢄⠠⡀⠇⠄⢃⠘⡸⣿⢇⠣⡘⣿⣿⡜⢧⡜⡸⢟⡧⢿⡄⡇⣧ ⠌⠚⠤⢩⢐⠣⡉⠆⡜⢠⠂⡅⢂⠡⠊⡀⠂⠄⢂⠈⠄⠀⠠⠈⢄⠡⢂⠡⡘⠠⠌⡀⢂⠐⡁⠊⠄⠱⢸⢿⣿⣣⢎⡱⢋⠞⣧⣛⡖⣷ ⡘⠰⡁⠆⡌⢢⠑⡌⡰⢡⠘⣀⠂⡄⠡⢀⡁⠂⠄⡈⠄⡁⢂⠁⠢⠌⢄⠃⡌⡁⠆⡐⢀⠂⡄⠃⡌⢢⠑⡺⣿⣿⡧⣘⠡⢊⡔⣣⢗⣻ ⠠⡑⢌⠒⡌⢢⣱⣤⣷⣦⣷⣦⣷⣬⣣⡒⢬⡑⢎⡔⢢⢁⠆⡌⠱⣈⠢⢑⠰⠐⡌⢐⠂⠔⠠⢡⠐⢬⡘⣱⣽⣿⠗⡬⢌⠳⢎⡱⢋⣽ ⢠⠑⣌⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡚⡥⢊⡅⡊⠔⡈⠥⢀⠢⠁⢎⠡⡘⠠⠌⢂⡑⢢⡙⢦⡱⢣⡟⣼⣙⠶⣉⢞⡰⣡⣃⣿ ⣢⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣔⠣⠐⡁⠎⠐⠠⢁⠂⢡⠈⠤⣁⠣⠘⡄⢪⡑⣎⢧⣝⣳⣽⣶⣿⣿⣿⣿⣿⣷⣧⣿ ⢿⣿⣻⣿⣿⣏⣽⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠅⡐⠈⠄⠁⠂⡈⠄⠨⢀⠄⢂⠱⢌⢣⠹⡜⢾⣸⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⢂⠠⢀⠀⠂⠁⠀⠠⠁⠀⠐⠈⠒⠌⢢⠣⡙⢦⣻⣿⣿⡿⢿⣿⣿⣿⣿⣿⣷⣻ ⡀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣉⠀⡀⠀⢀⠀⠀⠈⠀⠀⠰⠈⠀⠁⠎⡀⢁⠱⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠔⡡⢈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠟⠟⡛⢃⠀⠄⠀⡀⢀⠀⡀⢂⠐⡀⢂⠁⡀⠄⣀⠂⡜⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻ ⢧⣑⠧⡚⡴⢤⣉⡙⡛⡛⢛⠛⠛⠛⠉⠁⠀⡈⠄⣀⠀⡈⠀⠀⠐⠀⡀⢐⠠⣒⣼⣶⣻⣿⣶⣵⣮⡔⢡⠊⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠩⢌⠣⡑⡌⠒⠄⢉⠀⠈⣀⣤⣷⣦⡄⠀⠐⠀⠀⠀⠀⠀⠄⠀⠀⠺⣷⣦⣽⣿⣿⣼⡵⣎⣷⣽⣿⣿⣦⣅⢂⠉⡙⠿⠻⠿⢿⣿⣿⣻ ⢁⠎⡖⡩⠝⡄⠈⡀⣤⡿⡛⣍⠲⣸⣿⠀⠀⠈⠀⡀⠐⠀⠀⠂⠄⠁⠈⠉⠛⠻⢿⣿⣹⣿⣿⣿⣿⠿⡛⢁⠂⡐⠄⠠⠂⠄⠠⣤⣿⣽ ⢎⡜⡱⢍⡚⡔⣠⣿⢋⣶⠟⣂⠧⣿⡇⠀⠈⡀⠀⠀⠐⡀⢁⠠⡈⠤⢡⠈⠄⣁⠚⠷⣿⣿⠿⠟⡁⢂⠐⠤⢈⠐⡈⢁⠂⡘⠤⣋⢷⣻ ⠌⡘⢠⢳⡘⠴⡡⣾⠟⠁⠀⢻⣿⣿⠇⠀⠄⠠⢀⠂⡁⠐⡈⢀⠐⡀⢂⡌⡲⢄⡩⢲⠥⣏⡲⡐⡀⠆⡌⢠⠀⢊⠔⠡⢒⡡⢓⡌⡓⣿ ⠐⣀⠣⢖⡩⠖⠛⡁⠂⠠⠀⠄⠀⡀⠠⢀⠀⠡⡀⠆⡰⠡⡌⡅⢋⠍⠣⣌⠱⡌⡞⣥⣛⣿⢧⡱⡘⠴⡘⠤⡙⠤⣊⠔⡡⢌⢃⠒⡡⣟ ⠐⠈⡆⢡⠒⡌⠐⠀⡄⢡⠈⡄⠂⠀⠁⠂⡎⠑⢨⢰⠑⢳⣾⣼⣥⠚⢱⡌⣧⠙⣾⣵⣿⣿⣾⣵⠙⣦⠙⣦⢱⢢⡅⡎⢱⠊⡆⢣⡄⣯ ⠢⡑⠄⠂⡄⢠⠁⡀⠄⠠⠀⠄⡈⠤⢁⠢⡐⠤⣃⢎⡱⢣⢞⡻⣿⣿⣧⣽⣾⣿⣿⢿⡿⣹⢿⣿⣿⣮⡷⣌⡳⣜⢢⡙⢦⠚⡜⢦⡁⣧ ⡰⡐⢌⡑⠈⠄⢂⠀⠄⡁⢂⠐⠠⡁⠎⡰⢁⡚⢴⡊⣕⢣⢎⡱⢣⠞⣭⠫⣝⢣⢏⢮⡱⢋⠶⢬⡙⢿⣿⣷⣝⢮⣣⡝⣬⢛⡜⣢⠅⡷ ⠄⡱⢀⠢⡉⢆⠢⣌⠐⣀⠂⡉⠄⠡⢂⡑⢎⡜⡥⢓⡬⢎⡬⢱⢣⠹⣰⠙⢦⢩⠚⣦⡝⡭⢊⠥⡛⢦⡳⣝⡾⣣⢗⡞⣥⢫⡜⡱⢎⡗ ⠚⡐⠣⡑⠜⣂⠹⢄⠋⡔⢂⡁⠎⡑⠢⢜⠢⡜⡔⢫⠔⡣⢜⡡⢎⡱⢂⠏⣆⠣⡝⢦⡝⡲⣍⢞⡱⣣⢟⡼⣳⣟⣮⢿⣜⣧⢻⣱⣋⣞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡋⠉⠀⠀⠀⠈⠉⠓⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠤⠤⢤⣀⣀⠀⠀⠀⠴⢀⣴⡾⠷⠤⣈⡉⠑⠲⢄⡀⠀⠀⠀⠱⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⡤⠤⠒⠒⠒⠦⢤⡀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠦⠒⠒⠒⠒⠒⠛⠉⠀⠀⠀⠀⠀⠀⠈⠉⠓⠤⣄⠀⡼⣀⡀⠀⠀⠉⠓⠦⣄⡈⠳⢤⡀⠀⠈⢇⠀⠀ ⠀⠀⠀⢀⡤⠊⠁⠀⢀⡤⠔⠛⠉⠉⠙⢦⡀⢀⡤⠔⠋⠉⠀⠀⠀⠀⠀⠀⠀⠲⡄⠀⠀⢀⡤⠔⠂⠀⠀⠀⠀⠀⠈⠻⣧⠈⠙⠓⢤⣀⠀⠀⠀⠙⠢⣄⠙⢦⡀⢸⡆⠀ ⠀⠀⢀⠎⠀⢀⡠⠚⠉⠀⢀⡤⠒⠊⠀⣠⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢿⣤⠜⢉⣤⠔⠒⠦⡄⠀⠀⠀⠀⠀⠈⠓⠒⠒⠒⠺⢷⣦⣀⠀⠀⠈⠳⢤⡙⢾⡇⠀ ⠀⢀⡏⢀⡴⠋⠀⢀⡤⠞⠁⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢾⡿⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠉⠳⣄⡀⠀⠀⠳⡼⠀⠀ ⠀⢸⣤⠞⠀⣠⡴⠋⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⢿⡾⢿⣦⣀⡶⠁⠀⠀ ⠀⢸⠃⣠⡾⠁⠀⠀⠀⢀⣠⢴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡀⠀⠀⠀⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣶⠛⠁⠀⠀⠀⠀ ⠀⠘⣶⡏⠀⠀⠀⣠⠖⠋⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣛⣫⣵⣦⡀⣠⣾⠿⠭⠭⠽⡄⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠈⢷⠀⠀⠀⠀⠀ ⠀⠀⠘⢧⡀⣰⠟⠁⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠗⠒⠛⠉⠙⠓⠋⠁⠀⠀⠀⠀⠹⡄⠀⢀⡾⢰⡄⠀⠀⠀⠀⡀⠀⠀⠀⠱⣦⡀⠈⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⠳⢤⣀⣀⣠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⣀⡘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⢉⡿⢿⣾⡇⠀⠀⠀⢸⢿⠀⠀⠀⠀⢱⡈⣷⣻⠀⠀⠀⠀ ⠀⠀⠀⠀⡾⠀⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⢣⡀⢀⣠⢾⡻⣍⣀⣉⣁⠽⠛⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣾⣋⠠⠛⢀⠿⣆⠀⣠⣿⢸⠀⠀⠀⠀⠈⡷⠛⠛⠀⠀⠀⠀ ⠀⠀⠀⢠⡇⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⣽⠿⢤⣀⣙⣿⣛⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣻⡟⠛⠛⢿⣷⣦⣤⠤⠞⢡⢇⡾⠀⠀⠀⠀⢠⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠁⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢠⣴⣿⠿⠓⠾⣯⣄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⠴⢶⣦⣄⠈⢿⣟⡴⣲⣿⣾⠀⠀⠀⢸⡇⣸⠙⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⡄⠀⠀⠀⢸⡇⢠⠄⠀⠀⠀⠀⠀⠀⠀⣴⣾⣯⡿⠁⣴⡖⢒⣶⡹⠇⠀⠀⠀⠀⠀⠀⠀⢻⣿⣀⣸⣿⣾⣆⠈⢿⣿⣯⡵⠃⠀⠀⣠⣾⡵⠃⠀⠹⡄⠀⠀⠀⠀ ⠀⠀⠀⠃⠀⠀⢀⡞⢧⣾⠀⠀⠀⠰⣀⣀⣀⣴⣯⣁⣿⠁⠜⠻⣿⣾⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⡙⢿⡄⢸⡿⠙⠲⡶⠶⠺⢷⡟⢧⡀⠀⠀⢧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠟⠀⠈⣿⡄⠀⠀⠀⠀⠀⢀⡿⢓⣿⡇⠀⣷⣤⣿⠋⠹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡈⣇⠙⣧⣠⠇⠀⠀⠀⠀⣿⡏⠃⢘⣷⡀⢳⡀⠀⠸⡀⠀⠀⠀ ⠀⠀⠀⢀⡴⠃⠀⣠⢾⠁⠙⠦⣀⣠⠖⠛⢿⡀⠀⠙⠇⠀⢿⡀⢹⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢼⣤⡽⠋⠀⠀⠀⠀⣼⢡⡇⠀⢸⢹⣧⠀⢹⡀⠀⢷⠀⠀⠠ ⠀⢰⢠⠎⠀⢀⡴⠁⢸⠀⠀⠀⠈⢿⠀⠈⡿⢷⡀⠀⠀⠀⠈⠳⣼⣤⠖⠃⠀⠀⠀⠀⠀⠀⠶⠄⠀⠀⠰⠦⠤⠖⠲⡗⠀⠀⢀⡯⣾⠀⣰⠋⢸⡏⢧⡀⠹⡄⠘⡄⠀⠀ ⠀⣾⠏⠀⣠⠏⠀⠀⣸⠀⠀⠀⠀⠈⢧⡀⠱⣄⢷⡀⠀⠊⠛⠲⠶⠖⠂⠀⠀⠀⠀⢰⣤⣤⣠⣤⣶⠆⠀⠀⠀⠀⣠⡁⠀⠀⢸⣤⡴⠚⠁⠀⠈⡇⠀⢳⠀⠱⡀⠁⠀⠀ ⢠⠇⠀⡴⠋⠀⠀⠀⡇⠀⢀⡤⠤⠤⣄⣙⣦⣈⣷⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢉⠉⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠏⢹⣀⣀⣀⣀⢻⠀⠈⢷⠀⠳⡀⠀⠀ ⠏⢀⡾⠁⠀⠀⠀⠀⡇⣴⠛⠿⡄⠀⢰⡿⠉⠀⠉⠙⠷⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⣦⣾⡟⠀⠀⠀⠀⠀⠀⣠⣶⣿⡗⠀⠘⡇⢸⠇⠘⢿⡀⠀⠈⢣⠀⢳⡐⠀ ⢀⠞⠀⠀⠀⠀⠀⢀⡿⠁⠀⠀⠹⣯⠙⢧⠀⠀⠀⠀⠀⠀⠈⣹⣶⠀⠀⠀⠀⠀⠀⠀⣀⡈⠛⠋⠀⠀⠀⠀⣠⠴⠛⠻⢿⡀⠙⣦⠀⣿⡿⠀⠀⠈⣳⡀⠀⠈⢷⡈⡇⠀ ⠊⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠘⣦⡈⣧⠀⠀⠀⠀⠀⢀⡏⠈⡗⠦⣄⡀⢀⡴⠚⠉⠳⣄⠀⠀⠀⢀⣴⣿⠀⠀⠀⠀⠙⢦⡈⢷⣿⡇⠀⠀⠀⢿⣧⠀⠀⠈⢧⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠘⢷⡈⢷⡀⠀⠀⠀⣾⠀⠀⢧⠀⢀⡽⠋⠀⠀⠀⠀⠙⣟⣶⢶⡏⡾⠃⠀⠀⠀⠀⠀⠀⢻⡈⣿⠁⠀⠀⠀⢻⣿⠀⠀⠀⢸⠇⠀ ⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⣉⣉⠓⠂⠀⠈⢻⣎⡳⣄⢀⡾⠉⢧⡀⠸⣷⠋⠀⠀⠀⠀⠀⠀⠀⠈⢾⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⣠⡇⡿⠀⠀⠀⠀⠈⢿⡇⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡿⣷⡜⠛⢧⠀⠈⢳⡀⠹⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⢹⡏⠀⠀⠀⠀⠀⠀⣠⡴⠋⢠⡇⠀⠀⠀⠀⠀⠘⡇⠀⠀⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣌⢿⡄⠘⡆⠀⠈⢷⣠⣿⠛⢯⡓⠶⢤⣀⠀⠀⢀⣼⡇⠀⠀⠀⠀⢀⡴⠻⣆⠀⢸⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡧⠀⠇⠀⢠⡾⠋⡟⠀⠀⠉⠓⠦⢬⣤⠴⣿⢻⡿⣤⣀⣴⠾⠋⠀⠀⠙⣦⣸⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⣠⡴⠋⠀⠀⣷⠀⠀⠀⠀⠀⠀⢠⣤⣿⣈⡇⡏⠀⠀⠀⠀⠀⠀⠀⣸⠻⣄⡀⠀⠀⠀⠀⠀⠀⢺⣼⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠤⠤⠤⠞⠉⠀⠀⠀⠀⠘⢧⣀⠀⠀⠀⠀⠈⠛⣻⣿⣷⣇⢿⣿⠆⠀⠀⠀⣠⠟⠀⠀⠛⢦⡀⠀⠀⠀⠀⠀⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠎⠀⠇⠀⠀⠀⠀⠀⠀⠀⢀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⠤⣤⡤⢾⣿⠃⡿⢻⣦⣀⣀⣠⡤⠞⢃⡀⠀⠀⠀⠀⠙⢦⣤⣄⡀⠀⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠿⠻⣿⣦⣀⣀⣴⣾⠿⠿⢿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣿⣿⠰⣿⣿⢉⣿⠟⢿⣿⠁⢾⣿⠉⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣴⡾⠟⠛⠉⠀⠘⢿⣦⣍⣀⣾⡟⠀⠈⢿⣦⣄⣠⣾⡿⣷⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠉⠉⠋⠉⠀⠀⠀⠀⠉⠙⠋⠉⠀⠈⠻⣿⣄⠀⠀⠀ ⠀⢀⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣧⠀⠀ ⠀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀ ⣸⢿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⢦⠀⠀⠀⠀⠀⠀⠀⠀⡴⠲⡄⠀⠀⠀⠀⠸⣿⠀ ⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡈⢣⡀⠀⠀⠀⠀⠀⣰⠁⡼⠀⠀⠀⠀⠀⠀⣿⡆ ⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⠉⠒⠦⠤⢤⠞⢁⡼⠁⠀⠀⠀⠀⠀⢰⣿⢡ ⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠢⠤⠤⠖⠋⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀ ⠀⠹⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣿⠏⠀⠀ ⠀⠀⠙⢮⣷⣴⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⢨⣿⡿⠿⣶⣤⣤⣄⣀⣀⣀⣀⣀⣸⣷⣄⣀⣤⣤⣴⣶⠿⠛⣿⣇⠀⠀⠀⠀⠀ ⠀⣀⣠⣴⣿⡿⠁⠀⠀⢈⣉⣿⡞⠛⠛⠛⠛⠻⣿⣟⠛⠉⠉⠀⠀⠀⢀⣿⡿⣦⡀⠀⠀⠀ ⠀⢻⣉⣼⠛⣷⠄⠠⢟⠋⣽⠻⡖⠀⠀⠀⢠⡾⢻⡛⠳⣶⠒⠒⠒⠴⠟⠁⡇⢈⡛⣀⡀⠀ ⠀⠈⠉⠛⠒⠻⠀⠤⠬⠴⠯⢄⣷⣀⣀⡀⣜⣡⣼⡧⠤⠁⢀⠠⠤⠄⠠⠀⠀⠒⠂⠀⠛⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣤⣤⡀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⠿⢻⠛⢿⣿⣦⣠⣀⣠⣾⡿⠿⣿⠛⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣶⣿⣿⠁⣾⣿⣿⡌⣿⣿⠿⢿⣿⡏⠁⣾⣿⣷⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⢾⣿⠿⠛⠋⠁⠸⣿⣧⡘⠛⠉⢠⣿⡟⠀⠀⢿⣷⣄⠈⠉⢁⣼⣿⢧⣤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣶⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠉⠿⢭⣽⣾⣽⠟⠁⠀⠀⠀⠹⣯⣽⣲⣯⡷⠋⠻⣿⣿⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠈⠻⣿⢷⡄⠀⠀⠀⠀ ⠀⠀⢠⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣻⣆⠀⠀⠀ ⠀⢰⣟⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⢻⡄⠀⠀ ⠀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⠀⠘⣿⣷⠀⠀ ⢸⣧⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⡝⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠕⢸⠃⠀⠀⠀⠀⠀⠀⢽⣿⠀⠀ ⢸⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⣼⠇⣠⡎⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀ ⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⠈⠛⠲⢤⣤⣤⣤⠞⠃⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠃⡄ ⠸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⢤⣀⣀⣀⣀⣠⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⢰⢿⡇⠀⠀ ⠀⢹⡿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣯⡟⠀⠀⠀ ⠀⠀⠻⣎⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣞⣿⠟⠀⠀⠀⠀ ⠀⠀⠀⠈⠣⣿⣧⣼⣻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⡷⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣹⣿⣿⣿⣶⣤⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⢠⣿⣷⡀⢀⣀⣀⣠⣤⢴⣞⡿⠿⣷⣽⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⣯⣿⠃⠀⠉⠛⠒⠒⣾⣽⣭⣿⠷⠶⠶⠶⣾⣿⣿⡿⠽⠯⠗⠒⠛⠉⠁⠀⠀⣻⡿⣧⡀⠀⠀⠀⠀⠀⠀ ⠀⣴⣶⡶⠻⣿⣿⠃⠀⠀⢀⣤⣴⠶⣿⣿⠓⠀⠀⠀⠀⠀⠀⣹⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⣴⡟⢻⠙⠿⣦⡄⠀⠀⠀⠀ ⠀⠬⢳⡤⣾⠋⢹⣿⠒⠂⠚⢥⠀⣼⠏⢹⡏⠉⠉⠉⠁⢠⣾⠋⢿⡀⠙⢿⠯⠉⠉⠉⠉⠚⠋⠀⠸⠇⠠⠬⠥⢤⣀⡀⠀ ⠀⠀⠉⠉⠛⠒⠾⠿⠤⠄⣀⣈⣐⣿⣀⣈⣿⣀⣈⣀⣀⣞⣁⣤⣹⣗⣶⣄⣁⣀⣀⣀⣀⣀⣀⠠⠀⠴⠶⠶⠒⠒⠛⠉⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⡏⢀⣼⠟⠉⠀⠀⠀⠸⣷⠇⠀⠀⠈⢻⣆⠸⡏⠳⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⢰⡇⣾⠃⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢻⡄⢷⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⢻⣾⡄⠀⠁⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⠋⠀⠀⠀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠉⢷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⣀⣀⣻⣶⣤⣄⣀⠉⠻⢷⣦⣄⡉⠓⢦⣄⣀⠐⠦⣤⣀⣀⠀⠀⢀⣀⣀⣀⣀⡀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⠾⠛⠋⠉⠁⠀⠀⠀⠀⠉⠙⠳⣶⠿⠦⠉⠙⠒⠛⠻⠟⠓⠒⢿⣿⠿⠛⠛⠋⠉⠉⠙⠛⠛⠿⣦⣄⠀⠀⠀⢠ ⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡄⢠⡿ ⢠⣿⠀⠰⠷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠆⠀⠈⢿⣾⠃ ⠀⢿⢧⡀⠀⢀⣠⡤⠤⠄⠤⣄⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠀⠀⢀⣠⣤⣀⡀⠀⠀⠀⠀⣸⡏⢀ ⠀⢈⡿⣽⡶⠋⠁⠀⠀⠀⠀⠈⢷⣤⣴⠟⠁⢤⣀⣀⠀⠀⠀⣀⣀⣀⠀⠙⠷⣦⣄⣠⠞⠉⠁⠀⠈⠙⠳⣦⣀⣴⡿⠟⠋ ⠀⢸⠇⣽⠁⠀⠀⠀⠀⠀⠀⠀⣸⣿⠉⠓⢲⠶⠤⠭⠭⣭⣭⣭⡭⠤⣤⠤⠖⠚⣿⣿⠀⠀⠀⠀⠀⠀⠀⠘⣿⢻⡇⠀⠀ ⠀⢸⠀⠹⣄⠀⠀⠀⠀⠀⠀⡾⠋⠘⢧⣄⣘⡇⠀⠀⠀⢸⠀⠀⠀⠀⡟⠀⠀⣠⣿⣻⣦⠀⠀⠀⠀⠀⠀⠀⣼⠈⡇⠀⠀ ⠀⢸⡇⠀⠉⠓⠦⣤⠤⠄⠀⠀⠀⠀⠀⠠⠿⠷⢤⡀⠀⢸⠀⠀⠀⢀⡇⣰⣞⣉⠀⠀⠀⠀⠀⢀⣀⣀⣤⠾⠃⠀⡇⠀⠀ ⠀⠈⢷⡀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠞⠛⠒⠾⣦⡖⠒⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠉⣹⢻⣇⣀⠀⣸⠇⠀⠀ ⠀⠀⠈⠿⣦⡀⢀⣼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠘⠉⠁⣴⠟⠀⠀⠀ ⢀⣠⠴⠖⠋⢉⣩⣥⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠳⣶⣾⠋⠀⠀⠀⠀ ⠈⠙⠛⠚⠛⢉⡿⠋⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢦⣄⣉⣛⣶⣄⠀⠀ ⠀⠀⠀⢀⣴⢋⣠⣴⠿⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⡀⠙⠻⣍⡉⠁⠀⠀ ⠀⠀⠀⠘⢋⣿⠋⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⠻⣿⠲⠼⠿⠆⠀⠀ ⠀⠀⠀⢠⡿⠁⠀⢀⣾⠛⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⢹⡇⠀⠀⠀⠀⠀ ⠀⠀⣠⡾⠗⢲⣤⠾⠧⢶⣿⠛⠛⠛⠛⢻⠃⠀⠀⠐⠒⠒⠒⠒⠒⠒⠒⠒⡶⠶⠶⠶⠶⠤⣾⡟⠀⠀⢸⡇⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣄ ⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⣀⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠿⣿⣿⠿⠿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⢏⡤⠶⢦⡀⠀⠀⣀⠤⣄⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⢉⡿⣿⣿⡿⢸⠁⠰⠀⢹⠀⢰⠃⣤⠀⢳⢸⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⡼⢠⠆⠙⠃⠈⠳⠤⠴⠋⠀⠸⣄⢀⣠⠞⢸⣿⡟⢰⠈⢻⣿⣿⣿ ⠀⠀⠀⠀⠀⡇⢿⡀⠀⠀⠀⠀⣠⣤⣤⣄⠀⠀⠀⠀⠀⠈⠛⠃⠀⡗⠚⣿⣿⣿ ⠀⠀⠀⠀⠀⢳⡀⠳⣄⠀⠀⠀⠻⠿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⡇⠀⠀ ⠀⠀⠀⣀⣀⠀⠣⡀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠋⠀⡸⠁⠀⠀ ⠒⠒⠒⣣⢤⠇⠀⠙⢦⣄⠀⠈⠉⠛⠛⠉⠉⠉⠉⠉⠉⠉⠀⢀⣠⡞⠁⣏⠣⠤ ⠀⠀⣰⠋⣸⣦⣀⣀⣀⣈⣿⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣶⣾⣿⣿⣿⣷⣮⡳⣄ ⠀⢰⠓⠺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⠶⠾⠿⠟⠛⠉⠉⠉⠁⠀⠈⠉⠙⠛⠿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⡾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀ ⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀ ⠀⣸⠏⠀⠀⢠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠈⢿⡄⠀⠀ ⢠⡏⠀⠀⣀⣘⡿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣧⠀⠘⣧⠀⠀ ⠈⡇⠀⠀⣰⠛⢿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠃⠀⠀⢻⡄⠀ ⠀⡇⠀⠰⡇⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⢀⡀⠀⠈⣷⠀ ⠀⣷⠀⢸⣟⣚⣫⣾⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣦⣴⣾⠟⠀⠀⣿⡆ ⠀⢻⡆⠈⠙⢿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠇⠀⠀⠀⣿⠃ ⠀⠀⢳⠀⠀⠈⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⡿⠀ ⠀⠀⠀⣷⠀⠀⠀⠹⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠟⠁⠀⠀⠀⣼⠃⠀ ⠀⠀⠀⠘⣷⡀⠀⠀⠈⠙⠻⠷⣶⣤⣤⣀⣀⣀⠀⠀⠀⠀⢀⣀⣠⣴⡾⠟⠋⠁⠀⠀⠀⠀⡴⠃⠀⠀ ⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠻⠿⠟⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⠶⠶⠶⠶⠶⠶⠶⠶⠶⠾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⣠⠂⠀⠀⠀⡠⢚⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀⠀⠀⠑⢄⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⢀⣼⠁⠀⢀⡾⡇⠀⢀⡴⠊⢠⠎⠈⠀⠀⠀⢠⡧⢰⡦⣄⡀⠀⢹⣦⡀⠈⢹⣦⡀⢂⠀⠀⢣⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠀⢠⣾⡇⠀⣰⠋⢸⢀⡴⠋⠀⣰⡇⠀⠀⢇⠀⠀⡞⢹⠘⠓⢤⡉⠢⣄⠿⡝⢆⠀⢻⣽⠢⢕⡠⠈⣧⠄⠀⠀⠀⠀ ⠀⠀⠀⡼⠀⢠⢋⣿⠀⡜⠁⠀⡾⠋⣠⣴⣾⠿⡷⢾⡤⠘⡄⠀⠃⢸⢷⠀⠺⠿⢶⠾⢦⣷⡀⠙⢦⡙⠓⣞⠛⠉⢻⠀⠀⠀⠀⠀ ⠀⠀⢰⢁⡇⠃⢸⠈⠞⠀⠀⢠⡗⠋⢡⣾⠃⠀⢻⡈⡆⠀⠘⢄⠄⢸⣌⡆⠀⠈⠊⠳⣄⠈⡷⢄⠀⠈⠁⠀⠑⢤⣈⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⡏⠀⠀⠀⠀⢸⠀⢠⡋⢿⣶⣶⣞⣷⣿⣆⠀⠀⠀⠈⣿⣷⣶⣶⣶⣶⣿⣦⣾⠀⠁⠀⠀⠀⠀⠀⠈⠉⠁⣡⠂⠀ ⠀⠐⠀⡎⠀⠀⠇⠀⠀⠀⠀⢸⣠⣏⣽⠿⣿⣿⣹⡿⠿⡟⢦⡀⠀⠀⢯⢻⡿⠿⣿⣏⢹⣿⣿⣧⣀⠀⠀⠀⠀⣀⣠⡴⠋⠁⠀⠀ ⠀⠀⠀⠇⠀⠀⠁⠀⠀⠀⠀⣸⣿⡿⠉⣶⣿⣿⣿⡇⠀⢙⡞⠻⣦⣀⣸⡄⠁⣾⣿⣿⣾⠇⢻⣷⣝⣯⡉⢿⠉⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⢰⣿⠁⠁⠀⢯⠀⠉⠘⠃⠀⢸⡷⠶⠿⢿⣟⠓⠀⣇⠈⠁⠘⠀⠈⢹⣿⠟⡟⢿⠦⣤⣬⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⢳⠀⠀⠀⠀⢽⣧⡀⠀⠚⠒⠒⠚⣀⣤⡿⠁⠀⠀⠀⢻⣦⣀⡙⠒⠒⠟⣀⣰⣿⠇⢀⣧⡟⠀⠻⠸⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⡆⠀⢠⠀⠀⠀⠀⠘⣏⠙⠛⠛⠚⠛⠛⠋⠁⠀⠀⠘⠀⠀⠀⠈⠉⠙⠛⠛⠛⠉⠉⣸⣠⢞⡿⡇⠀⠀⠐⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⣀⠘⡄⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣯⣴⡏⠀⡷⠲⡄⠀⠀⠀⠀⠀⠀ ⠀⢀⠀⠀⣾⠈⠳⣧⠀⠀⠀⠀⢹⢻⣄⠀⠀⠀⠀⠀⢠⣶⣿⠷⠶⢾⣷⣦⠀⠀⠀⠀⠀⢠⡞⠉⡿⠀⠸⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⢹⡇⠀⣿⡄⠀⢿⡆⠀⠀⠀⠘⡄⢹⢷⣄⠀⠀⠀⠘⣷⠛⠋⠙⠛⢻⡟⠀⠀⠀⠀⣠⡟⠁⠀⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⢿⡀⡟⡇⠀⢸⢿⡄⠀⠀⠀⢣⣸⠀⠉⢳⣦⣀⠀⠘⠒⠤⠤⠖⠋⠀⢀⣠⢶⡻⡄⢳⠀⠀⣷⠀⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⢀⠈⢷⠁⡇⠀⢸⠘⣿⡄⠀⠀⠘⡏⠀⢀⡇⢼⡟⠳⣤⣀⠀⠀⣠⣶⡿⢻⡿⠀⣇⢳⡘⡄⠀⢸⡇⢸⡄⠀⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⢢⡘⣳⢧⡀⢸⣧⢹⣿⣄⠀⠀⢿⠒⠺⠀⠈⠣⡀⠙⢿⣿⣿⣿⠟⢁⡞⠁⠀⡼⠤⠿⣷⠤⠞⠛⢉⡇⡇⢸⠙⠢⡀⠀⠀⠀ ⠀⠀⠀⢻⣁⣼⠇⢸⣄⡿⠁⢈⣧⡀⠈⢧⠀⠂⠀⠀⠈⠲⣄⠙⠋⣠⠔⢉⣴⣿⢀⠇⠀⠀⠘⡄⠀⠀⡜⢹⢰⠀⢆⣀⠇⠀⡀⠀ ⢀⡠⠤⠤⢭⣀⡤⠚⠙⠲⣴⠋⢠⠟⣦⠈⢆⢰⠀⠀⠀⢰⠙⡆⢀⡇⢀⢸⣿⠟⡞⠀⠀⠀⠀⠘⣄⣠⠖⠺⠤⢑⣂⣠⠴⠚⠉⠠ ⠈⢀⡀⢠⠚⣁⣤⣶⠦⡀⠈⢳⣡⡾⢻⠟⢮⣿⡆⠀⠀⣼⠀⢹⣼⠀⣸⠈⠃⡜⢣⠀⠀⠀⠀⠀⡜⡱⠉⠑⡠⠀⠀⣭⠇⣀⠀⠀ ⠃⠈⠉⠛⢿⣛⢟⡹⡗⠙⡆⠘⡇⠀⡸⠀⠀⠙⢿⡄⣰⣍⠗⠚⠓⠞⣉⣇⡜⠀⣈⢦⠀⠀⠀⢸⢣⠃⠀⠉⡍⠹⣏⡽⠋⠁⠀⠀ ⣷⣤⣀⡠⠴⠛⠋⢰⠃⠀⡇⠀⡇⠰⠁⠀⠀⠀⢀⠈⠁⢯⠀⠀⠀⠀⣿⠀⢠⠎⠀⠀⠱⡄⠀⢸⠘⠀⠀⠀⢰⠀⠙⡄⠀⠀⠀⠀ ⠈⡄⠀⠀⠀⠀⠀⢸⠀⠘⠀⣠⠇⠀⠀⠀⠀⠀⠀⠑⡄⠘⣆⠀⠄⠠⠇⡰⠃⠀⠀⠀⠀⠈⢆⠀⠳⡀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠑⠀⠀⠀⠀⠀⠈⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⠇⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠈⢂⠀⠳⡀⠐⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣦⣤⣄⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⡶⠒⠚⠋⠉⠉⠀⠀⠀⠀⡉⠛⢾⡄⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⢲⣾⠿⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⣴⡿⠛⠿⢿⣿⣿⣽⣆⠀⠀⠀ ⠀⠀⣴⣿⠁⠀⣰⣿⣿⣿⣷⠀⠀⠀⣠⣾⡏⠀⠀⢀⣼⣿⣿⣿⣿⣦⠀⠀ ⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⢰⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⡏⢣⠀ ⢸⣿⣿⣿⣿⣿⡿⢿⣿⡿⠃⠀⠀⠸⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣿⠇⠘⡇ ⢀⣿⣿⣿⣿⣯⣠⠾⠛⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣧⣴⠿⠟⠁⠀⠀⡇ ⠘⡇⠈⠉⠉⠉⠀⠀⠀⢀⡀⠀⠀⢀⣀⡀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⢀⡇ ⠀⢿⡀⠀⠀⠀⠀⠀⠀⠘⠻⣦⣶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀ ⠀⠈⣳⡀⠀⠀⠀⢀⡴⠒⠲⢄⣀⠤⠶⢤⡀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀ ⠀⠀⠐⢝⣦⣀⣠⣼⣧⡀⠀⠀⠀⠀⣰⣾⣧⣤⡀⠀⠀⠀⣠⠔⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⢽⡟⠀⣿⣷⡄⠀⠀⣨⣿⡏⠻⠎⣷⡤⠖⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠃⠀⠈⢿⣷⡀⠀⢿⡅⠀⠀⠀⢹⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠦⢤⣤⠞⠉⠉⠉⠉⠙⠦⢤⠤⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡶⠾⠛⠛⠋⠉⠉⠉⠉⠉⠛⠛⠻⠶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⣦⣄⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠈⠙⢿⣄⠀⠀⠀⠉⠙⠻⣦⡀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠉⠳⣄⠀⠀⠀⠀⢸⠁⠈⢣⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠹⣧ ⠀⠀⠀⠀⠀⠀⢠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠸⡆⠀⠀⠀⠸⣇⠀⠈⣧⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⣀⣠⣿⠀⠀⠀⠀⢻⣷⣾⣿⡆⠀⠀⠀⠀⠹⣆⠀⠀⢰⡿ ⠀⠀⠀⠀⢠⡿⢀⣠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡇⠀⠀⠀⠘⡿⠿⠟⣇⠀⠀⠀⠀⠀⢹⡆⢀⣿⠃ ⠀⠀⠀⢠⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡌⠉⠀⡇⠀⠀⠀⠀⠹⡀⠀⡏⢀⣴⣿⣿⣿⠀⢿⡿⠁⠀ ⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⣶⣶⡄⠀⠳⣤⡼⠁⠀⠀⠀⠀⠀⠙⠚⠁⡈⣛⠟⠛⠉⠀⢸⣧⠀⠀ ⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠿⠃⠀⠀⢀⢲⡦⡀⠀⠀⠀⣀⣠⣤⣾⡿⠏⠀⠀⠀⠀⠀⣿⠀⠀ ⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡯⠭⣭⣿⠿⠟⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⢶⣿⣿⡛⠛⠛⠛⠾⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀ ⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠋⠁⠐⠛⠛⠋⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀ ⠈⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀ ⠀⠀⠉⠛⠷⢶⣶⠶⠶⠶⠖⠛⠋⠁⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣦⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⢠⣾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣷⣀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⡤ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣄⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⢀⣤⣿⠏⠀⠀⠀⠀⠀⠲⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⣠⡴⠋⣹⡏⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣋⣠⡴⠶⠛⠁⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠉⠉⠀⠀⠀⠀⠀⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣤⣄⣀⣀⣀⣤⡴⠞⠋⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⢀⣤⣶⠆⢀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⠀⠀⠀⠙⣛⣡⣶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠈⢛⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⠃⠠⢿⣥⠀⢩⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠙⠛⠀⠀ ⠀⣠⡾⠃⠀⠀⠀⣀⣀⣀⠀⣀⠀⢀⠀⢀⠀⣠⣤⡄⠀⠘⢷⡄⠀⠀ ⣰⠟⠀⠀⠀⠀⠀⠉⠉⠉⠐⣧⣴⠿⣤⡼⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀ ⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃ ⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀ ⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⣠⡖⢳⡏⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠉⢦⡀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠏⠀⠀⠀⣠⠆⠀⠀⠀⣰⣿⠁⠀⠀⠀⣠⠞⠃⣰⠋⡇⠀⠀⠀⠀⢀⡇⠸⣆⠀⠀⠀⠀⠙⣧⡀⠀⠈⠒⢦⡀⠀⢳⡀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⢀⣴⡟⠀⠀⢀⡴⢋⡇⠀⠀⣠⠞⠁⢀⡾⠁⠀⢡⠀⠀⠀⠀⡾⣏⠀⣿⡙⠲⢤⡀⠀⢸⣿⢦⡀⠀⠘⣿⢦⣀⠱⢄⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡐⠁⠀⢀⣾⣿⠃⠀⢠⠞⠁⢸⠁⣠⠞⠁⠀⣠⢿⠀⢀⠀⠘⣆⠀⠀⢰⠃⣿⡄⠁⠛⢦⡀⠙⠳⣄⠻⡆⠙⢦⡀⠘⣖⣯⠓⢦⣁⠂⠘⢷⡒⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⢇⠀⢠⡞⣽⢹⠀⣰⠋⠀⠀⣧⠞⠁⣀⣤⣶⡿⢿⡷⢾⣧⡀⠹⡀⠀⣾⠀⣿⢧⡄⠐⢦⡿⣶⣶⣪⣤⣹⡄⠀⠙⢦⡘⠯⠳⣖⠚⠛⠋⢹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡟⢸⢡⠏⠀⡇⠇⡼⠃⠀⠀⢀⣇⡴⠚⢉⣿⡟⠀⠀⣧⠈⣇⠀⠀⠻⡄⢻⠀⢿⠘⣧⠀⠀⠑⢌⠳⣄⠈⠙⢿⣤⠀⠀⠙⠒⠀⠈⠳⣄⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⡾⠈⠀⢸⠁⠈⠀⠀⠀⠀⣸⠁⠀⢀⣾⣿⡇⠀⢀⣸⣆⣸⡄⠀⠀⠙⠎⠀⠸⣧⢹⠀⠀⣀⣀⣀⡈⢷⡀⠘⡏⠻⡆⠀⠀⠀⠀⠀⠈⠓⠶⠦⣤⡤⠤⢀⠄⠀ ⠀⠀⠀⠀⠄⢀⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⣿⠀⢀⣟⠀⣿⣷⣭⣭⣭⣿⡿⣿⣆⠀⠀⠀⠀⠀⡟⣯⣿⣿⣭⣶⣶⣿⣯⣿⣖⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀ ⠀⠀⠀⢸⠀⢸⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⡟⢀⡾⢈⣿⠿⣿⣿⣏⢹⡿⡟⣿⡝⣦⡀⠀⠀⠀⢻⡘⣿⣿⢿⣿⣽⡇⢹⣿⣿⣾⣧⡀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠞⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠛⣄⣿⣿⣿⣼⡇⠀⠘⢧⡈⣷⣤⡀⠀⠘⡇⠘⠃⣴⣾⣿⣿⣼⡇⠹⣿⣯⡻⣗⠒⠲⣶⠖⠛⠉⠁⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⠀⠀⠀⡇⠀⠀⠀⠀⠀⢠⣿⠿⢿⠀⠀⣿⠛⢿⡿⢛⡇⠀⠀⣰⣇⣈⣙⣛⣶⣾⣹⡄⠀⣿⠛⢿⡟⢻⡇⠀⡿⢿⣿⣮⣷⣦⣸⡆⠀⠀⠠⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⣿⠀⠀⠀⢉⡁⠀⠀⣿⡿⠛⠛⠛⠻⣿⡉⠁⠀⣿⠀⠀⠀⣉⠁⠀⠀⣸⣿⠏⠈⡏⢹⡟⠲⡶⢶⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠸⡄⠀⠀⠀⠀⢀⣿⣇⡀⠀⠀⠚⠓⠒⠒⠛⠁⣀⣼⡿⠀⠀⠀⠀⠀⢻⣧⣀⠀⠘⠓⠒⠶⠿⠂⢀⣼⡿⡟⠀⢠⣇⡿⠇⠀⠇⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣧⠀⠀⢠⠁⠀⠀⠀⠀⠀⢻⡟⠿⠷⠶⠤⠤⠶⠶⠿⠿⠛⠋⠀⠀⢠⡆⠀⠀⠀⠉⠛⠛⠿⠿⠿⠿⠿⠿⠛⠋⢰⠀⣠⢟⡾⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡄⠀⠘⡆⠀⠀⠀⠀⠀⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠚⣡⡾⠁⣇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣷⢤⡀⢳⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡷⡾⡟⠀⢀⡟⠉⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⠀⠙⣾⡇⠀⠀⠀⠀⠀⢹⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⠷⠶⠶⢶⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⣇⡇⠀⡾⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣷⡇⠀⢸⣿⠀⠀⢸⣿⡀⠀⠀⠀⠀⠻⡇⠙⣿⣦⡀⠀⠀⠀⠀⠀⣿⣥⠶⠶⠒⠶⠶⢴⣿⡏⠀⠀⠀⠀⠀⢀⣼⠟⠀⠀⣿⡇⠀⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠄⠀⠸⣿⠀⢸⣿⡀⠀⠸⣿⣧⠀⠀⠀⠀⠀⢳⠀⢸⠙⠻⣦⣄⠀⠀⠀⠘⢧⡀⠀⠀⠀⢀⣠⠟⠀⠀⠀⠀⣠⣴⠛⢹⠀⠀⠀⣿⡇⠀⣧⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢂⠀⢻⡆⢸⠀⡇⠀⠀⡇⣿⣇⠀⠀⠀⠀⠸⣆⡜⠀⠀⢨⡟⢷⣦⡀⠀⠀⠉⠙⠒⠛⠉⠁⠀⢀⣤⣶⡚⢿⠸⡇⠸⡇⠀⠀⢿⣇⠀⢸⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢄⠀⢻⡇⠀⡇⠀⠰⣇⠸⡞⣦⠀⠀⠀⠀⢿⡇⠀⠀⣼⠑⣦⡏⠻⣷⣄⡀⠀⠀⠀⢤⣶⣿⡿⢻⣿⠁⠈⡇⢻⡄⢷⠀⠀⢸⣸⠀⢸⡄⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢆⢠⠻⣦⣇⠀⠀⣿⣄⢻⡾⣧⠀⠀⠀⠘⡷⠤⣴⡇⠀⠘⢧⡀⠈⠻⣿⣿⣶⣿⣿⡿⠋⢀⡼⠁⠀⠀⣧⣀⣳⣼⣆⣀⣼⠿⠞⠛⣧⣱⠀⡟⠲⢦⡀⠀⠀⠀⠀⠀ ⠀⠁⠀⠀⠘⣧⡼⠋⣹⡇⠀⣿⠹⣎⡿⠋⢳⡄⠀⠈⢹⡀⠀⣧⠀⠀⠈⠙⢦⡀⠈⢻⣿⡿⠋⢀⡤⠟⢀⣶⠀⢀⡇⠀⠀⠉⣯⠁⠀⠀⠀⡼⢻⢸⡆⢱⡀⠀⢸⠆⠀⠀⠀⠀ ⠀⠀⠠⠀⠀⠈⢧⣠⠇⠇⠀⢸⣠⠞⠁⠀⣴⠟⣦⠀⠀⢻⡀⠸⠀⠀⠀⠀⠀⢉⣷⡄⠀⢀⡶⠋⠁⣴⣿⣿⡆⡾⠀⠀⠀⠀⠘⣧⠀⠀⢠⠇⠘⡄⢧⠈⠧⠤⠼⠀⠀⣇⡀⠀ ⠀⠀⢀⡤⠶⠦⠤⣄⢀⣠⠖⠋⠉⠳⢶⡚⠁⢠⠞⢳⣄⠀⢳⡀⡇⠀⠀⠀⠀⣸⠀⢧⠀⢸⠁⢸⡀⣿⣿⠟⣱⠃⠀⠀⠀⠀⠀⠘⣦⢀⡴⠒⠒⠣⢬⣵⣂⣀⡤⠖⡋⠉⠙⢦ ⠀⢸⠃⠀⡄⢀⡠⠞⠉⢀⣠⢶⣄⠀⠀⠹⣶⠋⣴⡿⢻⠷⣌⢷⣸⡀⠀⠀⢀⡇⠀⠘⣆⡼⠀⢨⡇⠻⠋⣰⢷⡀⠀⠀⠀⠀⠀⠀⣨⢏⡴⠉⠳⢤⣀⣀⣈⣉⣻⠀⠀⡀⠀⠀ ⠀⡴⠒⠺⡷⣼⣶⣶⣚⣯⠶⢯⣈⡳⣄⠀⢹⠟⠉⠀⣸⠀⠈⠻⣷⣷⡀⠀⣼⠻⣆⣀⣻⣇⣠⠟⣧⠀⣰⠋⠀⢷⡀⠀⠀⠀⠀⢀⡏⣸⠀⠀⠴⠶⠶⢶⡶⠾⣋⡴⠛⠉⠀⠀ ⠀⣇⠀⠀⠀⠀⠈⢻⣴⣏⡴⢫⡇⠀⣻⠀⠈⡇⠀⢰⠇⠀⠀⠀⠈⠛⢧⣴⢻⡶⠋⠀⠀⠈⠃⢤⡾⠶⠃⢀⡠⠄⠳⡀⠀⠀⠀⢸⠁⡇⠀⠀⠀⢸⡆⠸⣦⡞⠁⠀⠀⠀⠀⠀ ⠀⠿⣶⣤⣤⣤⡤⠞⠛⠉⠀⣼⠀⠀⣿⠀⠀⡇⢠⠏⠀⠀⠀⠀⠀⣄⠀⠀⠸⣇⠀⠀⠀⠀⠀⢸⡇⠀⣰⠋⠀⠀⠀⠙⢆⠀⠀⢸⡀⡇⠀⠀⠀⠘⡇⠀⠈⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢠⠏⠀⣀⡇⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠸⡄⠀⢠⡀⠀⡞⠀⡴⠃⠀⠀⠀⠀⠀⠈⢳⡀⠈⢳⡁⠀⠀⠀⠀⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢈⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⡿⠀⠀⠀⠘⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⢹⡄⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡃⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠻⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠂⠀⠄⠄⢀⠀⠀⡀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠀⠀⠀⡐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠆⠀⠀⢀⠔⣪⠊⠈⠷⠇⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠠⢄⣂⡥⠊⠁⠀⢀⡤⠒⣾⢿⡿⣿⣿⣯⣉⡭⠷⡆⢄⠀⠀⠀⠀⠀ ⠒⢉⠠⢊⠀⠀⣠⠶⠋⢀⢔⡽⣯⡵⠊⠈⣿⣉⣙⣷⠃⠀⠑⢆⠀⠀⠀ ⡸⣣⢾⢡⢃⣼⡗⢀⡔⢡⠊⠀⣼⢙⡖⠒⢻⣧⠁⢸⠀⠀⠀⠈⢦⠀⠀ ⡱⠃⠈⢃⡞⣹⢇⠎⣰⣃⠔⠊⢸⡜⣧⢄⡈⣿⠀⢸⠀⠀⠀⠀⣘⡀⠀ ⠀⠀⠀⡾⠀⣿⣿⣺⡏⣠⣀⡐⠸⡧⢹⣦⣆⣽⣦⣼⣄⣰⡔⢻⣙⡇⠀ ⠀⠀⠀⠃⢀⣿⣿⣿⡇⠽⠽⠎⠀⢣⠀⢹⣻⡍⠛⣿⣷⣾⡇⢸⣻⡇⠀ ⠀⠀⠀⣠⣿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠑⣿⣿⣿⣧⢸⣿⠀⠀ ⠀⠀⢠⡟⣿⣿⣿⡏⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢁⡟⢿⣿⠸⢸⡟⠀⠀ ⠀⠀⠸⠀⢹⣿⡿⣧⣹⣿⣦⡀⠀⠀⠀⣀⣠⣴⣿⣧⣿⣿⠷⢸⣷⡀⠀ ⠀⠀⠀⠀⢸⣏⡇⠀⠉⠉⠋⣹⣒⠂⠉⠁⡜⠉⠙⠹⠛⠻⡷⠞⠀⠁⠂ ⠀⠀⠀⠀⠀⢻⣷⣤⣤⣤⠄⠉⠉⠉⠉⠉⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣤⣤⣶⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣩⣶⣦⡀⠀⠀⠀⠀⠀⠀ ⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣷⣦⣀⡀⠀⠀
⠀⠃⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠘⣿⡁⠈⠁⢸⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⢀⢂⠟⠀⠀⠀⢿⠀⣿⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⡿⠀⢿⡏⠀⠀⠀⠀⠀⠀ ⠃⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠘⠟⠀⠀⠂⢸⠀⢸⡟⠀⠀⠀⠀⠀⣀⢀⣦⡎⠀⠀⠀⠀⢸⠀⣿⠀⠀⠀⡄⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⣼⡿⠛⠛⠉⠉⠉⠛⠛⠛⠉⠙⠓⠲⢦⣼⡀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣶⣶⣶⣶⣶⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⢸⡏⠉⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠐⢂⡼⠋⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⣀⡀⠀⣀⣀⠀⠀⠀⠀⠀⠀⢇⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣠⡟⠀⠀⠀⠀⠀⢀⡀⣿⠀⠀⠀⠀⠀⠀⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠋⣀⠀⠀⠀⠀⡀⣸⢠⣿⡀⠀⠀⠀⡆⠀⡇⠙⡄⠀⣀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠒⠒⠒⠒⢻⠇⡸⠁⠀⠀⠀⠀⡇⣿⡞⠀⡇⠀⠀⠀⢹⠀⡇⠠⠿⣟⢻⣍⠓⠲⠤⣀⠀⠀⠸⡄⠀⠹⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⠀⢸⣧⣤⣤⣤⣤⣤⣤ ⠀⠀⢀⣀⣀⣀⡀⣀⣠⣤⣤⡏⢠⠇⢀⠀⠀⠀⣰⣷⣿⠓⠒⢳⡀⠀⠀⠈⣧⡇⠀⠀⠈⢣⣻⢳⡀⠀⠈⡗⠄⠀⢻⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠀⢸⡏⠉⠉⠉⠉⠉⠉ ⣿⠛⠛⠛⠛⠛⠛⠛⠿⢿⣿⢠⣿⠀⡞⠀⠀⣴⣿⢯⡏⠀⠀⠀⢳⡀⠀⠀⠸⡇⠀⠀⣠⢄⣹⣷⣝⣦⠀⣇⠀⠀⠈⡇⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠈⠻⣆⠀⠀⠀⠀⠀⠀⢸⡏⡞⠙⢀⡇⠀⢰⡇⣿⠸⣧⣀⣤⡤⣄⢹⣄⠀⠀⢱⠀⠘⣷⣿⣻⣷⣝⢿⣧⣿⠀⠀⠀⢧⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⢸⠀⣸⠁⠀⠀⠀⠀⠀⠀ ⣄⠀⠘⢷⣄⠀⠀⠀⠀⣸⣧⠃⢠⠈⡇⠀⠀⡇⣏⣼⣿⣿⣿⣿⡷⠌⣿⣆⠀⠀⢧⠀⠁⣿⣿⣿⣿⡀⢿⢻⢸⠀⠀⢸⠀⠀⠀⢻⣆⣀⣀⣀⣀⣀⣀⣸⡆⣿⠀⠀⠀⠀⠀⠀⠀ ⠙⢷⣄⠀⠙⢷⡄⠀⠀⢿⣾⠀⢸⠀⢧⠀⠀⢷⣿⣿⠋⣿⣿⣿⣿⠀⣿⠈⠳⣄⠸⣇⠀⠹⣿⣧⡿⠀⠀⡾⣿⠀⠀⢸⠀⠀⢧⡀⢿⡿⠿⠿⠿⠿⠿⣿⠇⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠙⢷⡄⠀⠙⢦⡀⢸⣿⠀⢸⡄⢸⣤⡀⣿⣿⠻⠀⠹⣯⣦⡿⠀⠁⠀⠀⠈⠓⢮⣃⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⢸⠀⡀⠀⢳⡈⢳⡄⠀⠀⠀⠀⢸⠀⣿⠇⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠙⢦⡀⠀⠙⢿⣿⠀⠘⣷⢸⣧⣷⡘⢿⣄⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⣸⢿⡆⠀⠀⢸⠀⢧⠀⡎⡿⣦⡻⣄⠀⠀⠀⢸⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠙⡄⠀⣿⣧⣏⣿⡿⣌⢿⢦⡀⠀⠀⠀⠀⠀⣀⣀⠤⢤⣤⣤⣀⠀⠀⠀⠐⠋⢸⠁⠀⠀⢸⠀⢸⡀⢹⣿⣈⠻⢿⣷⡄⠀⢸⠀⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢈⣿⠖⠀⠃⠀⡟⢈⣿⣿⢳⠉⢾⣧⠁⠀⠀⠀⠀⣿⠿⠛⠉⠀⠉⠙⣿⠀⠀⠀⠀⢀⣾⠀⠀⠀⣼⡄⠈⣧⠀⣿⣿⣾⣿⣿⣿⣿⣿⠀⢸⣷⣶⣶⣶⣶⣶⣶ ⠀⠀⠀⠀⠀⢀⣴⠛⠁⣠⣶⠀⣸⣣⣾⠋⢿⠸⡄⢸⠉⢧⡀⠀⠀⠀⠈⠳⣄⡀⣀⣤⠞⠁⠀⠀⢀⣴⠏⡇⠀⠀⠀⡇⣷⠀⠸⡆⠘⣿⠉⠉⠉⠉⠉⢻⠀⢸⡏⠉⠉⠉⠉⠉⠉ ⠀⠀⠀⣠⡶⠋⠀⣠⣾⠿⣿⣰⠷⠋⢹⠀⢸⠀⠀⢧⡆⠀⠳⣦⣀⡀⠀⠀⠀⠉⠁⠀⠀⢀⣠⡶⠋⠀⣦⠇⡀⠀⢠⠇⢹⡄⠀⢳⠀⠸⣆⠀⠀⠀⠀⣼⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⢀⡤⠞⠁⢀⣤⣾⠟⠁⠀⣿⠁⠀⣦⡟⠀⣾⡄⠀⠛⣧⠀⠀⣧⠈⡏⠉⠓⣶⠶⠶⠶⠖⠉⠀⣟⠀⠀⣿⢠⠇⠀⣾⡄⠈⣧⠀⠈⣇⠀⢻⡆⠀⠀⠀⣿⠀⢸⡇⠈⠀⠀⠀⠃⠀ ⠋⠀⢠⣾⡿⠋⠀⠀⠀⢠⣿⠀⠀⣿⠃⠀⣿⠗⢺⣽⡹⡄⠰⡟⢰⠃⠀⠀⣹⠇⠀⠀⠀⢀⣰⠿⣦⣠⡏⡼⠀⢀⡟⠓⣶⣿⠦⣄⠘⡆⠀⢻⡄⠀⠀⢻⡄⢸⡇⠀⠀⠀⠀⠀⠀ ⢀⣴⠟⠁⠀⠀⠀⠀⠀⢸⣿⠀⠐⡏⠀⡼⢁⡴⠋⣠⠿⣿⠛⠓⣾⣶⠶⠛⠉⠦⠤⠤⠖⠋⠀⠀⣈⣿⣢⠇⠀⣸⢀⡼⣅⠙⢧⡘⣆⠹⡄⠀⢿⣿⣶⣿⠁⢸⣧⣤⣤⣤⣤⣤⣀ ⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣸⠁⢰⠣⠋⠀⠚⠁⣠⢿⡄⢠⣿⡏⠒⠦⠤⣄⡀⠀⢀⡤⠖⠋⠁⣸⡟⠀⠀⣿⠛⢦⠈⠳⠄⠉⢸⡀⠹⡄⠈⢻⡉⢹⡇⢸⡏⠛⠛⠛⠛⠛⠛ ⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢰⠇⠀⢸⣇⠀⠀⠠⠞⠁⣸⣿⣾⣿⠁⠀⠀⠀⠀⠉⠀⠈⠀⠀⠀⠀⣿⠁⠀⢰⡿⣄⠀⠓⠀⠀⢀⠿⣇⠀⠹⡄⠈⢳⣼⡇⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⣻⠏⠀⢀⣿⠟⣦⠀⠀⠀⠀⢳⠈⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⣾⣿⠛⠀⠀⠀⢀⡎⠀⠸⣄⡀⠙⣆⠀⠙⣧⢸⡇⠀⠀⠀⠀⠀⠀ ⣄⠀⠀⠈⠻⣦⡀⠀⠀⢠⡟⠀⠀⣸⠟⣦⡈⣧⡀⠀⠀⢸⡄⢹⡿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⢀⠀⣿⡏⠀⠀⠀⠀⣾⡀⣠⡞⠙⣷⡀⠈⢦⡀⠘⢿⣧⡀⠀⠀⠀⠀⠀ ⠈⠳⢦⡀⠀⠈⠙⢧⣠⡟⠁⠀⣰⠏⠀⢈⣿⣯⠻⣄⣀⢸⠁⠈⣷⠈⠛⢶⣤⣀⣀⣀⣠⣤⣶⢾⡿⠀⠀⠀⣿⣧⣀⣀⣀⣴⣿⢿⣧⠠⠀⢘⣧⠀⠀⠳⡄⠈⠻⣿⡿⠿⠿⡿⠿ ⠀⠀⠀⠙⠦⡀⠀⢀⡽⠀⠀⣴⣿⡀⢀⣼⡏⠹⣦⡀⢈⡽⠀⠀⢻⡆⠀⠀⠤⢀⣀⣤⣶⣶⣿⣿⠇⠀⠀⠀⣿⣿⣿⣶⣶⡿⠃⢸⡟⢷⣴⡷⢿⡃⠀⠀⠘⢦⠀⠙⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢢⠞⠁⠀⣘⣿⣹⡷⠟⠹⣇⠈⣿⣿⣿⠃⠀⠀⠘⣿⣿⣾⣶⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⡧⣠⡿⠀⠈⠻⣦⣬⣧⠀⠀⠀⢣⠱⣄⠈⠻⣄⠀⠀ ⠀⠀⠀⠀⠀⢠⠟⠀⢀⢬⣿⣿⡏⠀⠀⠀⠻⣿⣿⣿⡏⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⣿⣿⣿⣿⣿⣷⠟⠀⠀⠀⠀⢹⡏⠛⣷⡄⠀⠀⢣⡈⢷⣄⠙⢦⡀ ⠀⠀⢀⢀⡠⠀⠀⠀⣸⣟⠃⣿⠀⠀⠀⠀⠀⢙⡿⠋⠿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣼⡇⠀⠉⢿⡆⠀⠀⢳⡈⠻⡷⣌⠛
➖🟩🟩🟩🟩 🟩🔳🟩🔳🟩 🟩🟩🟩🟩🟩 ➖➖⬛⬛🟩 ➖🟩⬜🟩🟩➖🟩 ➖➖⬜⬜🟩🟩🟩 ➖➖⬜⬜🟩🟩 ➖➖🟩➖🟩
⠀⠀⣤⠀⠔⠋⠀⠀⠀⢀⠀⢰⠏⠀⠀⠀⢀⡔⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡘⡆⠈⣇⠀⠀⣄⠀⠀⠀⠘⡄⠀⠀ ⠀⠀⠀⠀⠉⠉⠉⢉⡽⠋⢀⣿⠀⠀⠀⣠⠎⡴⠋⠉⠑⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡇⠀⢹⡆⠀⣿⠀⠀⠀⠀⠘⠀⠀ ⠀⠀⠀⠀⠀⣀⠴⠋⠀⢀⣾⠇⠀⠀⡰⢃⡞⠀⠀⠀⠀⠈⠳⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠈⣿⡄⣿⡇⠀⡄⠀⠀⠀⠀ ⠀⠀⣰⡶⠊⠁⣀⡤⢞⣿⠿⠀⠀⡴⢡⠏⢳⡀⠀⠀⠀⠀⣴⡄⠹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⣿⣿⣿⣿⢠⣿⠀⢸⣦⣤ ⠶⣯⡁⠒⠚⠉⠀⢠⠎⡏⠀⠀⡼⣱⣿⠃⠀⠳⣄⠀⠀⠀⠋⠀⠀⠈⠀⠀⠀⠀⠀⠀⣀⡤⡴⠶⠶⢾⡇⠀⣿⡿⠸⣿⡌⢿⠀⠸⣿⣿ ⠀⠀⠉⢻⠁⠒⠒⡏⢰⠁⠀⡾⣵⡿⠁⠀⠀⠀⠈⠑⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠞⠋⢉⣅⠀⠀⠀⡇⠀⣸⡇⠀⣿⡇⢸⠀⠀⠸⣿ ⠀⠀⠀⢸⠀⢀⡼⢧⡜⠀⢸⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠘⠋⠀⠀⠀⠀⠀⡿⠀⠀⢻⠁⢸⢠⠃⠀⠙ ⠀⠀⠀⣠⡷⢋⣀⣼⡇⢀⣎⣻⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⣀⠀⠀⠀⠀⣸⠀⠇⠀⠀⢨⡇⠀⢸⠀⠀⠀ ⠀⠀⠚⠛⣏⣉⠤⣾⢠⠿⣍⣠⡇⠀⠀⠀⠀⠀⣶⣶⡒⠒⠢⠤⠄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠈⠉⢹⠀⡆⠀⢀⡏⠇⠀⡶⣶⣲⣴ ⠀⢀⡠⠖⢉⡠⠞⣻⠏⠀⠀⠀⢡⠀⠀⠀⠀⠀⣿⣿⣿⣷⣤⣄⡀⠀⠈⠑⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢀⠀⣼⣿⠀⢰⠷⠛⠉⠀ ⠐⠉⢀⠴⠋⢀⣴⠏⠀⢀⠀⠀⠀⢣⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣤⣭⣦⠀⠀⠀⠀⠀⠀⣸⠀⡞⢰⣿⣹⠀⣾⠀⠀⠀⠂ ⡠⠞⠁⢀⣴⣮⣤⣒⣻⣋⣤⣤⣶⠋⠱⡀⠀⠀⠀⢿⢿⡛⠛⠻⢿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⡴⢿⠀⠁⢸⡟⢻⣴⢻⠄⠄⠀⠀ ⠀⢀⡴⠋⠉⠉⠉⠉⢩⠞⠉⠉⡏⠀⠀⢱⢄⠀⠀⠈⢢⡙⠲⠤⢤⣈⠿⣿⡿⠟⠁⠀⠀⠀⠀⣠⣾⡴⠿⠀⢀⡞⠈⠺⡏⠻⡇⠀⠀⠀ ⠀⡞⠀⠀⠀⠀⠀⠀⣘⣲⣴⡾⠀⡀⠀⠈⣏⠳⣄⠀⠀⠙⠢⠤⠤⠒⠒⠉⠀⠀⠀⠀⣀⡤⠚⡏⠈⢧⡆⢀⡞⠙⢄⠀⠙⣄⠀⠀⠀⠀ ⠀⠗⠚⠛⠛⠛⠛⠉⠉⠀⢠⠃⠀⠑⡄⠀⠸⡀⠹⣷⣤⣀⣀⠀⢀⣀⣀⣠⠤⠔⢲⣯⡁⠀⠀⡀⠀⠈⡇⣼⣇⠀⠈⠳⡀⠈⢇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠈⠦⡀⢳⡀⠙⠛⠛⠋⠉⢉⡤⠚⠁⠀⠀⣼⡤⢿⣦⡀⡇⠀⠀⡿⠉⠛⠆⠀⠀⢱⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⢀⣀⣀⡀⠳⣀⠀⢀⡠⠖⠉⠀⠀⠀⠀⣰⡏⣇⠀⢹⠙⠳⢤⡀⠁⠀⠀⠀⠀⠀⠸⠀⠘⠀⠀⠀ ⠀⠀⠀⠀⡄⠀⠀⠀⠀⠸⠤⠒⠊⠉⠁⠀⡏⠈⠓⠲⠬⢥⡀⠀⠀⠀⠀⠀⢠⠇⠙⠮⣟⠋⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢈⡆⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣀⡴⠛⣄⠀⠀⠀⠀⡎⠀⠀⠀⠈⠓⠦⣄⡀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠛⠳⢶⣧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣠⠟⠁⠀⠈⢦⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠛⠷⣶⣤⣄⣀⠀⢀⡼⠃⠀⣴⠁⠀⠀⠀⠀⠈⢣⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⣀⠰⢤⡈⠻⣕⠄⠀⠀⠀⠀ ⣿⡅⠈⢙⠳⢦⣄⡀⠀⠀⠀⠀⢀⣠⣴⠶⠛⠛⠉⠉⠉⠋⠙⠒⠾⣿⣄⠀⠀⠀ ⠘⢿⡄⠀⠀⠀⠈⠙⠶⣄⣰⡶⠛⠉⠀⠀⠀⠀⠀⢀⣠⣤⣤⣄⡀⠀⠉⠳⣤⡀ ⠀⠈⠻⣦⣀⠘⠝⡲⢦⡼⠋⠀⠀⠀⠀⠀⠀⠁⠀⣾⣏⣉⣿⣿⣿⡶⣉⠶⣐⠻ ⠀⠀⠀⠈⠙⠛⢶⣶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⢿⡿⠿⠟⠁⢈⣂⠥⠤ ⠀⠀⠀⠀⠀⢠⣿⠃⣴⣾⣿⣷⣦⠀⠀⠀⠀⣀⣘⡷⠀⠀⠀⠀⣀⣼⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⡇⢸⣏⣀⣿⣿⡿⠃⠀⠻⠖⠋⠉⠀⣀⣤⣶⡿⣟⣯⠀⣀⣀⣀ ⠀⠀⠀⠀⠀⣾⣁⠼⢿⣿⠿⠋⠀⠀⠀⢀⣠⣴⣾⢿⣟⡿⣽⣻⣽⠋⠉⠁⣈⣿ ⠀⠀⠀⠀⠸⡿⢤⣫⠶⠃⠀⢀⣠⣴⣾⣿⢿⡽⣾⣿⡞⠛⢷⣿⡇⠀⢸⣿⣻⢾ ⠀⢀⣠⣤⣼⣇⠀⢀⣠⣴⣾⢿⣻⢯⣷⣯⣿⣽⠃⠠⣷⡀⠀⢻⣇⠀⠘⣷⢯⣿ ⣾⠋⠁⠀⠀⠉⢾⣿⢿⣽⠾⠟⠻⢯⣧⡀⠉⠻⠀⠀⣿⣷⡄⠀⠹⣆⡀⠈⠉⠁ ⣿⠀⠀⣀⣤⡶⠟⠋⢻⡏⠀⣠⣀⠀⠙⢿⣶⣄⠀⠀⠙⠻⢿⣆⠀⠘⣿⡶⣴⢶ ⡿⣿⡿⠛⠉⠀⠀⣤⣿⡆⠀⠹⣿⣷⣆⠀⢹⣿⠀⢐⣦⣄⣀⣼⣷⣤⣾⢿⣽⣻ ⣿⣻⣇⣀⣴⣦⠀⠈⢿⣷⡄⠀⠙⢿⣿⡄⠀⣿⡄⢈⣿⢿⣟⣯⣿⣽⠾⠛⠋⠅ ⣿⣯⣟⡿⣯⣟⣷⡀⠀⠻⣿⣶⣤⣀⣀⣀⣴⣿⢿⣿⣿⠿⢟⠋⠁⠀⠀⠀⡀⠀
⠀⠀⠀⠀⠀⠀⠤⠤⢤⣠⣤⣶⣶⣶⣦⣄⣀⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⠒⠒⠒⢲⠮⣾⣿⣿⣿⣿⣿⣿⣿⣶⡒⠒⠒⠒⠒⠒⠒⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠇⣸⡇⣾⣻⣿⣿⣿⢿⢯⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⢀⣿⣧⣏⣋⣻⣿⣿⡆⠽⢿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣸⣿⣿⣿⣿⣿⡿⠳⠁⣶⡼⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡟⡏⣿⡿⡿⡿⡿⠇⠀⠀⠉⠂⣼⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⣧⣿⣷⣕⣄⠀⠀⠀⠀⠀⢀⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⠱⠻⡟⣷⢻⣷⣖⣀⣠⣴⣿⡏⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⢻⠀⠁⢉⡇⢈⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⢇⢿⣦⣤⣼⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⢶⣿⣿⡁⢿⣿⣿⡿⠉⠈⠛⡿⢿⣿⣿⢿⣿⣿⣿⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⢼⣻⣿⣿⡇⢸⣿⣟⠀⠀⠀⠀⠀⠈⠉⢙⠀⣻⣿⣿⣿⡻⠄⠀⠀⠀ ⠀⠀⠀⢸⣿⡟⣿⡇⣼⣿⣿⣿⣶⣷⣶⣴⣾⣿⣿⣾⣿⣿⣿⣿⣷⡘⢢⢰⠀ ⠀⠀⢀⣾⢿⢳⠿⣇⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⠀ ⠀⠉⡿⢁⢇⣾⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⢻⡽⣿⠀ ⢀⢀⣷⣯⣾⣇⣼⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣾⢳⢿⠀ ⠀⠉⡟⠼⣯⡴⢦⣍⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⢋⠎⡈⢙⣿⣯⠆
⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠏⠛⢯⡙⠳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢹⣇⣠⠿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠶⠛⣩⡿⠛⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠀⠀⠀⠙⢦⡀⠀⠙⠳⣤⡀⠀⠀⣀⣠⡤⠶⠶⠚⠁⠀⠚⠋⠀⠀⠿⣤⣀⡀⠀⠀⣠⡶⠛⠁⠀⣠⠞⠁⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⠀⠀⠀⠀⠀⠻⢦⡀⠀⢀⡽⠷⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⢿⣅⠀⠀⣠⠞⠁⠀⠀⠀⠀⢺⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⢈⣿⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣾⡋⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠜⣦⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣇⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠸⣇⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⡄⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠁⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⣀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⢿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡟⠀⠀⠀⠀⣶⣶⠿⠿⠿⢷⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⠿⠿⠿⢷⣶⡆⠀⠀⡇⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠀⠀⠀⢠⣤⣤⠀⠀⠀⠘⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠸⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⢈⣹⡏⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠓⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⠞⠻⢓⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁⠀⣠⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢷⡟⠋⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⠤⠤⠤⢼⠇⠀⠈⣿⠤⢤⣤⣤⣤⣤⣤⣀⣀⠀⠀⠉⠀⠀⠛⣶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢶⣀⠀⢾⣯⣉⣁⡒⠲⠶⠤⠭⣉⣵⣿⣷⣤⣶⣿⣦⣀⠀⠀⠀⢀⣀⣉⣉⣽⣿⠇⢀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠦⢽⣦⡀⠉⠉⠙⠛⠛⠛⠛⢻⡟⠛⠛⣿⠛⠛⠛⠛⠛⠉⠉⠁⢀⣿⠥⠖⠋⠀⠀⠀⢀⣶⠛⠉⠙⠛⢦⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⠞⠛⣻⣦⡀⠀⠀⠀⠀⠀⢸⠇⠘⡦⣿⠀⠀⠀⠀⠀⠀⣴⣞⡛⠛⢦⡀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠲⣄⠙⢷⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠉⠉⣷⡀⠀⠀⢀⣤⣼⠄⠀⣇⣿⣤⣤⣤⣀⣀⣸⠉⠈⠉⠀⠀⢻⡄⠀⠀⠀⠀⠘⠷⣄⠀⠀⠈⢳⡀⢹⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠰⠶⣾⣯⠀⠀⢀⣷⠈⡁⣀⠉⢉⠀⠀⣀⣠⣭⣿⠶⠦⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠉⢦⡀⠀⠀⢳⡀⢻⡄ ⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⣀⣀⣴⠏⣿⠀⠀⢸⡏⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠘⢧⣀⡀⣀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠇⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠙⡏⣿⠀⢺⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠋⡏⠙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⢀⣸⡇⠀⣇⢸⡀⢸⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢸⠃⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⡿ ⠀⠀⠀⠀⠀⣴⣶⣿⣿⣷⣦⣻⠈⡇⢸⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⢸⣠⣶⡟⣿⡷⣦⡀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⢠⡇ ⠀⠀⠀⠀⣾⣻⣸⣿⣿⣿⠟⢿⡄⣧⠀⡇⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⣾⠋⣿⣿⣿⣿⣾⣻⠀⠀⠀⠀⣠⡾⠃⠀⠀⠀⢠⡟⠀ ⠀⠀⠀⠀⣿⢻⣻⣿⡿⠛⢦⣼⡇⢹⠀⡇⠀⠀⣿⣿⣦⠀⢀⣤⣄⢀⣴⣶⡀⢸⠀⣧⣴⠾⢷⣍⣿⣿⢿⣄⡤⠶⠛⠁⠀⠀⠀⢀⣴⠏⠀⠀ ⠀⠀⠀⠀⠸⣧⠉⠘⣇⣀⣼⠟⣷⢸⠀⣿⡄⣀⠻⢿⣿⣷⣾⣿⣿⣛⠿⠿⠇⡼⢀⡟⢷⣄⣀⡏⠉⢡⡟⠀⠀⠀⠀⠀⢀⣠⠶⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢦⡀⠈⠉⠁⠀⣿⠈⣇⣿⡟⢿⣷⣼⣿⣿⡋⢻⣿⣿⡇⠀⠀⡇⢸⠃⠀⠉⠉⠀⣰⣯⣤⣤⣤⠤⠖⠚⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢳⣄⠀⠀⠀⣿⡄⠻⣌⡑⠾⠟⠻⣿⡿⠃⠹⣿⣿⠃⣀⡾⠃⣾⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⣄⠀⠘⣷⣄⣈⠉⠓⠶⠶⠤⠤⠤⠶⠶⠖⠋⢁⣀⣴⡟⠀⢀⣴⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠁⠀⠈⠙⠛⠓⠒⠶⠶⠶⠒⠒⠛⠛⠉⠁⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠃⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀ ⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀ ⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⡆ ⠀⠀⠀⠹⣧⠀⡀⠀⠀⠀⠀⢀⡀⡀⠈⣇⢀⣠⣤⠴⠖⠒⠛⠉⠉⠉⠉⠉⠉⠙⠃⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⡷ ⠀⠀⠀⠀⠘⣧⡽⠶⢦⣀⡞⠛⠓⢦⡄⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠐ ⠀⠀⠀⠀⠀⣿⠀⠀⣠⠿⢦⡀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠉⠻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⡷⠀⣏⠀⢀⡗⠚⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠻⣧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⡀⠀⠈⣹⡋⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡄⠀⠀⠀⠀⢠ ⠀⠀⠀⠀⠀⠀⣽⠒⠛⠉⠙⠲⠖⠋⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠒⠒⠋⠉⠉⠙⠛⠒⠦⢤⣄⡀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⣰⢏ ⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⢶⣄⠀⠀⠀⠀⠘⣧⠀⣰⣿⠋ ⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⢻⢰⡟⠁⠀ ⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠙⣧⡀⠀⢸⡟⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢨⠏⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣀⠀⢀⣴⣏⠀⠀⠘⣧⠀⢸⠃⠀⠀⠀ ⠀⠀⠀⠀⢸⣆⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⣶⣤⣤⣤⣼⣿⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠙⢿⠿⣿⠋⠉⠀⠀⠀⠹⠷⢿⡀⠀⠀⠀ ⠀⠀⠀⠀⠘⣏⠀⠀⠀⠀⠀⠰⡟⠀⠀⠀⠀⠀⠹⠏⠻⠇⠉⠀⠀⢰⡞⠋⠉⢉⡗⠀⠀⠶⠫⠞⠁⠚⠁⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣆⠀⠀⠀⠀⠀⡇⠀⠀⠀⠠⠞⠡⠞⠰⠞⠀⠀⠀⠀⠉⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣆⢀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠴⠚⢻⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣿⡆⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⠀⠹⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣧⣀⠀⠘⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠈⢳ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠦⢄⣙⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⣠⣄⣀⣀⣀⣀⣤⡴⠖⠿⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡶⠖⠛⠛⠉⠉⠙⠛⠓⠒⠒⠲⢿⡅⠀⠙⣿⠋⠙⣧⠀⠀⠀⠀⠀⠉⠙⠲⢦⣄⠀⠀⠀⠀⠶⣾ ⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠘⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠿⠿⠂⢦⠀⣤⣼⣿⣄⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠆⠀⠀⠀⠀ ⣰⣏⡁⠀⠉⠛⢦⣤⠀⠀⠀⢙⣿⡿⠟⢷⡄⠀⠀⠀⠀⢀⣾⡿⢷⣤⣀⣲⣾⣿⣿⣯⠉⠻⣷⣴⡀⠀⣤⡶⠋⠁⠙⣿⠀⠀⠀⠀⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡾⠿⠷⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠘⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⡶⠶⠾⠿⠷⠶⠶⠶⠶⣤⣤⣄⣀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠿⣷⣦⣀⠀⢀⣠⣤⣶⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⡾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⡋⠉⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡀⠀⣾⡟⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣴⣿⠁⠀⠀⠀⠀⠀ ⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⡀⠀⠀⠀⠀⠀ ⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⡀⠀⠀⠀⠀ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⢶⣶⣄⠀ ⣾⡟⠀⠀⠀⠀⣀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠈⢻⣷ ⣿⡇⠀⠀⢀⣾⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢀⣼⡿ ⣿⡇⠀⢀⡼⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⡿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣴⡾⠟⠀ ⣿⡇⢰⡏⠀⠙⠿⢿⡿⠟⠋⠀⠀⠀⠾⣶⣤⣤⣤⣤⣤⣴⣶⠆⠀⠀⠀⠈⠻⠿⣿⠿⠟⠁⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠋⠀⠀⠀ ⢿⣇⠈⠳⢤⣤⡤⠛⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣤⣤⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀ ⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣇⠀⠀⠀⠀ ⠀⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⢻⣷⡀⠀⠀ ⠀⠈⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⣿⡇⠀⠀ ⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣥⣤⣶⡾⠟⠁⠀⠀ ⠀⠀⠀⠀⠈⠛⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⡾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⡟⠛⠶⠶⠶⣤⣤⣤⣤⣤⣤⣤⣴⠶⠶⠾⠛⢿⡏⢙⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⢲⣄⡀⠀⠀⠀⠀⠀⣀⣴⠄⠀⠀⠀⠘⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⣤⣀⠀⠀⠘⣿⡄⠀⠀⠀⣼⡟⠁⠀⠀⣀⡄⠀⢹⣿⢿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠋⠙⠛⠶⠶⠟⠁⠀⠀⠀⠙⠷⠶⠞⠛⠉⠀⠀⠀⣿⣿⣯⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣾⠟⢷⣴⠶⣦⡀⠀⠀⠀⠀⠀⣠⡶⣦⣶⠛⣷⡀⠀⢸⣿⣯⣿⣷⣴⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣵⣿⠛⠿⠀⠈⠉⠀⢻⡇⠀⠀⠀⠀⢠⣿⠀⠈⠁⠀⠿⠛⣷⣾⣿⠀⠉⠙⠻⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣿⡄⠀⡀⠀⢐⡆⢸⡗⠀⠀⠀⠀⢸⣿⠀⡖⠀⢤⠀⢀⣿⣽⠏⠀⠀⠀⢀⣸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣆⡘⠒⠚⢀⣿⠃⠀⠀⠀⠀⠀⢿⣄⠙⠐⠊⣠⣾⣿⣥⣴⣶⠶⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣻⠿⠿⠟⠿⠿⠶⠶⣶⣶⣶⠶⢿⠿⠶⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠋⢩⡝⠢⢤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠁⡀⢸⠷⠀⠀⢳ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⡸⠓⢦⣄⣀⡠⠞ ⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠈⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠿⣓⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠑⠢⣍⡓⠢⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠶⣶⠶⡦⢤⣄⣰⠃⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠶⢤⣈⡉⠙⠒⣶⠦⢤⣤⡤⠴⣞⡿⠉⠓⠋⠀⠈⠉⠁⠘⠶⠛⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠲⠤⣌⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⡤⣄⣀⡀⠀⣀⣀⣤⠀⠀⠀⢀⡎⢸⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⡇⢺⠀⠉⠉⠉⠀⠀⡆⠀⠀⢸⠁⠈⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⣀⣀⣷⠚⠃⠀⠀⠀⠀⠀⣇⠀⠀⢸⡖⠦⠿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠛⠿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⠒⠒⠤⣀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣆⠀⠀⠀⠀⠀⠀⠸⠀⠀⢀⣠⡤⠌⠓⠀⠀⠀⢿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⢀⡤⠰⡖⠂⠀⠈⠓⠢⠤⣤⣤⠤⠴⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⣠⠏⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⡇⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣤⡀⠀⠀⣀⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⣼⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢀⡀⣼⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠢⠈⠉⠁⠀⠀⠀⣤⠀⠀⠀⠀⠀⠻⠿⠃⠀⢘⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡁⢹⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣆⠀⢀⣀⡤⣀⡀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠻⣿⣿⣿⣿⣿⡏⣀⡤⠚⠋⠉⠀⠈⠉⠛⠲⢟⠛⠲⡄⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠀⣠⣄⡤⠤⠤⢤⣠⣤⣀⠹⣾⣁⡤⣤⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⡼⠁⠈⣧⠀⣶⠘⡇⠀⠀⣸⠶⠚⠁⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⢸⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⢷⡄⠀⠀⠀⠀⢀⡇⠀⠀⢧⣀⣀⣀⣠⠴⠛⠁⠀⠀⠀⠀⠀⢀⡞⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠙⠓⠦⠤⠖⠋⠀⠀⠀⠀⢘⡇⠀⢀⡠⠔⠚⠃⠀⠀⠀⢀⡼⠁⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢰⠋⠀⠀⠀⠀⠀⢀⣤⠞⠁⠀⠀⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣧⣤⣏⠀⠀⣠⣤⣶⣾⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣤⣤⣤⣴⣾⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠔⠒⠂⠀⠉⠀⠀⠉⠀⠒⠒⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠊⠉⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠑⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠔⠉⠀⠀⢀⡠⠔⢊⣉⣉⣀⠤⠤⠤⠠⠄⣀⡀⠉⠉⠙⠋⠢⢄⡈⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠫⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠤⡀⠀⠀⠀⠈⠒⢄⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⣀⣀⠀⠤⠤⠀⠒⠒⠒⠒⠢⠤⠤⢀⣀⠀⠈⢆⠀⠀⠀⠀⠀⠉⠊⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⠁⠀⢀⡠⠤⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⣣⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠒⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢄⡀⠀⠀⣀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡤⠀⠑⠊⠉⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠖⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡁⢀⠀⠀⡴⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀ ⠀⠀⡧⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠆⡠⡧⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠈⢢⡤⠒⠲⡀ ⠀⠀⢧⠀⠀⠀⠀⠣⡀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⡢⠀⠀⠀⠠⡞⠁ ⠀⠀⠘⢇⠀⠀⠀⠀⠈⠢⣀⠤⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠒⠭⣒⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠠⡁⠀⡼⠦⣀⠔⠀ ⡜⡁⠉⠢⡑⢄⡀⠀⢀⠔⠁⠀⢠⣾⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢎⠢⡀⠀⠀⠀⠀⠀⢀⠜⠀⠀⢈⡉⠀⠀⠀⠀⠀ ⢧⠇⠀⠀⠈⠓⠽⣶⠏⠀⠀⠀⠸⢿⣿⠟⠁⠀⠀⠀⠀⠀⠀⣴⣿⣿⣧⠀⠀⠱⡘⡄⠀⠀⣀⣴⠯⠒⠒⠉⠁⠈⢣⠀⠀⠀⠀ ⠈⠳⢄⣀⠀⠀⠀⡎⢀⠔⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⠟⠀⠀⠀⠸⡉⠉⠉⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀⠀⠀⠀ ⠀⡠⠤⠤⠭⠭⢴⡇⠘⣄⠘⠒⠒⠒⣉⣉⣉⣉⡉⠑⠒⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣀⡴⠊⠀⠀⠀⠀⠀ ⠀⣇⠀⠀⠀⠀⠀⢇⠀⠈⠁⠉⠉⠉⠀⠀⠀⠀⠈⠉⠑⠢⣌⠓⠤⡀⠀⡘⠱⡄⠀⡿⠷⠶⠶⠶⠶⠿⠭⢅⣀⠀⠀⠀⠀⠀⠀ ⠀⠈⠑⠒⠒⠒⠒⠉⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⣌⣉⣀⠜⠀⢰⡁⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀ ⠀⡠⠤⣀⠀⣠⠔⠊⢄⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠫⢗⡢⠤⠤⠤⠤⠤⠚⠁⠀⠀⠀⠀⠀⠀ ⠀⣣⡀⠈⠋⠀⠀⢀⣈⠦⠒⠑⠢⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠄⢻⣆⠀⠀⠀⠈⠒⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡁⣀⡀⠀⡖⠊⠁⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠱⡀⠒⠀⢇⠑⠢⠤⠤⠤⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠘⢄⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠈⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⡀⠀⣀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠚⢄⣀⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⡠⢴⣴⣾⣿⡿⠓⡠⠀⠀⠀⠀⠠⢄⠁⢀⠀⠀ ⠀⠀⠀⠀⠀⠳⣽⡽⠀⠀⡠⢊⣴⣿⣿⣿⣡⠖⠁⣀⡤⢖⠟⠁⡠⠀⡙⢿⣷⣄ ⠀⠀⠐⡀⠀⠀⠀⠀⢠⣾⣿⣿⢽⣿⣿⣿⣥⠖⣻⣯⡾⠃⠀⡔⡀⠀⣷⢸⢿⣿ ⠀⠀⠀⢰⠀⠀⠀⢠⢟⣿⠃⢀⣾⣿⠟⠋⢀⡾⢋⣾⠃⣠⡾⢰⡇⡇⣿⣿⡞⣿ ⠀⠀⡤⣈⡀⠀⢀⠏⣼⣧⡴⣼⠟⠁⠀⠀⡾⠁⣾⡇⣰⢿⠃⢾⣿⣷⣿⣿⣇⢿ ⠀⠀⠱⠼⠊⠀⠄⡜⣿⣿⡿⠃⠈⠁⠀⢸⠁⢠⡿⣰⢯⠃⠀⠘⣿⣿⣿⣿⣿⠸ ⠀⠀⠀⠀⠀⠀⡘⡀⣸⣿⣱⡤⢴⣄⠀⠈⠀⠘⣷⠏⠌⠢⡀⠀⢿⣿⣿⣿⡟⡄ ⠀⠀⠀⠀⢀⣌⠌⣴⣿⣿⠃⣴⣿⣟⡇⠀⠀⠀⠟⠀⠀⠀⠈⠢⢈⣿⡟⣿⡗⡇ ⠀⠀⢀⡴⡻⣡⣾⠟⢹⡇⠀⡇⢄⢿⠇⠀⠀⠀⠀⠀⠀⣽⣶⣄⡀⠘⢷⡹⣿⣿ ⠀⠀⣧⣾⡿⠋⠁⢀⡜⠙⡄⠓⠐⠁⠀⠀⠀⠀⠀⠀⡼⠛⠻⣟⠛⣆⠈⢷⣿⣿ ⣴⣾⣟⣵⣿⣿⣿⣁⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⠠⠔⡹⠀⢸⠀⣼⣿⣿ ⠿⡽⢫⡉⠀⣠⠔⠁⡀⠕⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠖⠊⠀⠀⢊⣾⢿⡿⠉ ⠀⠁⠀⡹⢨⠁⠐⠈⢀⡠⠐⠁⠄⠡⡀⡀⠀⠀⠀⠀⠀⠀⠀⠠⠶⢛⡨⠊⠀⠀ ⠀⠀⡜⠀⠈⣂⠀⠀⠀⠀⡠⠐⠉⡆⠀⣀⢀⣀⣀⣀⡀⠀⠀⣀⠴⣁⡀⠤⠀⠀ ⠀⠈⠀⠀⠀⡇⠑⢄⠀⠀⠀⠀⣲⢥⡎⠀⢰⠀⢸⠀⢀⠉⠙⣿⣧⣀⣀⣂⣤⣼ ⠀⠀⠀⠆⠁⠃⠀⠀⠈⠒⠒⠊⣸⠚⠁⠀⠀⠀⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠈⠚ ⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⢀⠋⢆⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠂⠀⠀⠐⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣴⣶⣶⣶⣶⣶⣦⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⠟⠛⠉⠉⠀⠠⣤⣤⢠⣍⡉⠛⠛⠿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠋⣠⣾⡇⠀⠀⠀⠀⠀⠐⢿⣿⠇⠀⠀⢶⡄⠙⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡿⢃⡀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣥⣤⣽⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣠⣠⣴⣿⠟⢋⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠛⠛⠋⢉⣉⣭⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⣿⣏⣉⣙⣻⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠒⠒⠛⠛⠋⢹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣾⡿⠋⢙⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⠟⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢠⣄⠀⢠⣿⡿⠀⢹⣿⡀⠀⠀⠀⠀⠀⠀⣴⣾⡿⠿⢿⣷⣄⠀⠀⠀ ⢸⣿⠀⣀⡀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣧⡈⢲⣾⣿⠃⠀⠸⣿⡇⠀⠀⠀⠀⠀⣾⡿⠁⣠⠶⠦⣜⢿⣷⣄⠀ ⢸⣿⠀⡇⠀⢀⣀⠀⠀⠀⠀⠀⠀⢀⣾⣷⣄⠲⠄⠀⠀⢠⣿⡟⠉⠻⣿⣼⣿⠃⠀⠀⠀⢿⣿⡀⠀⠀⠀⢸⣿⠃⣼⠃⠀⠀⠀⠈⢻⣿⠀ ⢸⣿⡀⢛⠀⣼⣿⣷⣄⠠⣄⠀⢠⣿⡿⠙⢿⣷⣌⠁⣴⣿⡟⠀⠀⠀⠙⠿⠋⠀⠀⠀⠀⠸⣿⡇⠀⠀⠀⣸⣿⠀⡟⠀⠀⠀⠀⠀⢸⣿⡄ ⢸⣿⣿⡌⣶⣿⠋⠙⢿⣷⣌⣠⣿⡟⠁⠀⠀⠙⢿⣷⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⢠⣿⠇⢰⢣⡶⠶⠶⠶⣄⠸⣿⡇ ⢸⣿⣿⣿⣿⠃⠀⠀⠀⠙⢿⣿⠏⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⢠⣿⡟⢠⡏⠸⣇⠀⠀⢀⡿⠀⣿⡇ ⠀⢿⣷⡙⠷⣄⡀⠤⠤⠤⠤⠤⠤⠤⢤⣦⣦⣤⣤⣤⣤⣶⣶⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣷⣿⠏⣰⠟⠀⠀⠙⠳⠞⠛⠁⠀⣿⡇ ⠀⠈⠻⣿⣦⣤⣤⣴⣶⣶⡾⠿⠿⠿⠟⠛⠛⠛⠋⠉⠉⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢹⣿⡁⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇ ⠀⠀⠀⠈⠉⠉⣹⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡗⢤⡀⠀⠀⠀⠀⠀⠘⣿⡇⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⠀⠀⠀⠀⠀⣼⣿⠇⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡌⢳⠀⠀⠀⠀⠀⠀⣿⡇⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃ ⠀⠀⠀⢀⣾⣿⡏⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⡄⢧⡀⠀⠀⠀⢸⣿⡇⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠀ ⠀⠀⠀⣼⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡌⢻⣠⣄⠀⢸⣿⡇⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠁⠀ ⠀⠀⣼⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⠛⣿⣷⣌⣿⣧⠀⠀⢿⣿⠀⠀⠀⠀⠀⠀⢀⣼⡿⠃⠀⠀ ⠀⣰⣿⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣾⡿⠙⢻⣿⣿⡆⠀⣸⣿⠆⠀⠀⠀⠀⣠⣾⡟⠁⠀⠀⠀ ⢠⣿⣯⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡃⠀⠀⠈⠉⠀⠀⠈⠁⠀⠀⠀⠀⠈⣿⠋⠀⠀⠀⠀⠀ ⠘⠟⢻⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠶⠟⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠤⣤⣀⣤⠶⠶⠤⠶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠓⠢⢤⣀⠀⢀⣀⣀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⠔⠒⠒⠒⠤⢤⣤⡴⠋⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠈⠉⠓⠒⠒⠚⠉⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⠐⠒⠶⠶⠒⢂⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⡶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠁⠶⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀ ⠀⠀⣰⠟⠁⠀⠀⣀⠤⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠘⢗⠢⢀⠀⠀⠈⢹⣄⠀⠀ ⠀⣰⠏⠀⠀⠀⢀⣀⣬⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣄⣀⠀⠀⠀⢻⣆⠀ ⢠⡿⠀⢀⣤⠞⠉⠀⠈⠙⣿⣿⣦⠀⠀⠀⠀⡴⠚⠉⠀⠈⠻⣿⣷⣄⠀⠀⣿⡀ ⣼⡇⢀⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣧⢃⢠⣿⡃⠀⠀⠀⠀⢀⣿⣿⣿⡇⠄⢨⡷ ⣿⡇⢠⢸⣷⣄⣀⣀⣤⣾⣿⣿⣿⣿⢘⠀⢿⣧⣄⣀⣀⣴⣿⢿⣿⣿⡇⢰⢈⡟ ⢻⡇⠘⡈⢿⣿⣿⣿⣿⣧⣠⣿⡿⠃⡜⢰⠘⢿⣿⣿⣿⣿⣧⣠⣿⡿⠁⡎⣸⡇ ⠈⣷⡀⠐⠀⠙⠻⠿⠿⠿⠿⠋⢁⠔⠁⠀⠑⣈⠙⠻⠿⠿⠿⠿⠋⢀⠜⢀⡿⠀ ⠀⠙⣇⡀⠀⠁⠒⠠⠤⠤⠔⠚⠁⣀⣀⣀⣀⠀⠑⠒⠤⠤⠤⠐⠊⠁⢀⣾⠁⠀ ⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀ ⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠓⠶⣆⣠⡀⣀⣀⡀⢀⣀⣀⣀⣤⡴⠶⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠋⠙⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⡶⠶⠶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠉⠀⠀⠀⠀⠀⠈⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⢁⣀⣀⣤⣤⣴⡶⠶⢶⣶⣤⣤⣄⣀⡈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠶⠶⠟⢳⣶⡾⠿⠟⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠻⢿⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠋⠀⢀⣤⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣷⣦⠀⠀⠀⠀⠀⠟⣴⣾⣿⣦⡀⠀⠀⠸⣧⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⢀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠇⠀⢀⣀⣌⠙⢷⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠈⠛⠛⠛⠉⠀⢰⡏⠀⠀⠹⡆⠻⣦⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠛⠛⠲⣤⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠃⠸⣦⣀⣤⡾⠃⠀⢹⡆ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠈⣷⠀⠀⢀⣀⠀⠀⠀⠀⣀⢰⡆⣀⣼⠋⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⣀⣀⣀⣠⡼⠋⠀⣴⣿⣭⣻⡄⠀⠀⠻⠿⠿⠾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢁⣀⣀⣀⣿⢸⣯⣭⡇⠀⠀⠀⠀⠀⠀⠙⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠁ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⢉⣉⣤⣝⣿⣡⡿⣿⠀⣤⣴⠶⠖⣛⣋⣩⣿⢳⣦⠀⠀⠀⠀⠀⣠⡿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⠃⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣸⣏⣉⠉⠁⠀⠀⠈⣿⣠⡿⣾⡏⠉⠛⠛⠋⣹⡿⠋⠉⠛⠻⢶⣤⡴⠿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⠟⠋⠉⠉⠉⠹⢷⣄⡀⠀⢀⣿⣿⣧⣿⡇⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⡆⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⠀⠀⠀⠀⠀⠈⣿⠀⢰⣿⣟⣉⡉⣻⣿⣄⠂⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠀⠘⡟⠛⠛⠛⠛⠋⠙⠿⠶⣤⣾⢷⣤⡀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⠏⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⡾⢏⣀⣀⣀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣟⠳⠶⣤⣤⡾⢿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣸⣇⣼⠟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢹⡏⠀⠀⠀⠀⠀⠸⣧⣀⣀⣀⣀⣀⣀⣠⡤⠶⠞⣻⣿⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀ ⠀⠀⠀⣴⡟⠛⣿⡿⠃⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠶⠖⠒⠒⠒⢚⣿⣬⠭⠭⠭⡭⠭⠖⠒⠚⣻⠟⠁⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀ ⠀⣀⣼⣯⣴⠟⠋⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢻⣦⡾⠟⢶⣴⡿⠻⢿⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀ ⣸⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀ ⢹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀⠀⠀⠀ ⠀⠙⢷⣦⣤⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⡿⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⢻⡆⠀⠀⠀⠀⢀⣀⣤⣶⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⢶⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⡾⠛⠛⠛⠻⠶⠶⠾⠟⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡉⠉⠉⠉⠉⠙⠛⠛⠛⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠠⠤⠼⠻⠯⠬⣇⠀⢀⣀⡀⠀⠀ ⠀⠀⡴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠉⠻⣭⢹⠀⠀ ⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢏⠀⠀ ⢰⠁⣠⣄⠀⠀⠀⠀⠀⠀⣀⣄⠀⠀⠀⠘⡖⣦ ⢸⢰⠻⡿⠃⠠⢄⣠⠄⠀⠻⡿⣲⠀⠀⠀⡟⠁ ⠈⡄⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⣸⣄⠀ ⠀⠈⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠓⠋⠀ ⠀⠀⠀⠀⢉⡖⢲⡂⠖⣶⠒⢲⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣽⣶⠃⠀⣳⡾⡀⣿⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠹⣱⢆⠃⠀⣇⢦⣼⣇⠤⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣀⡴⠛⠉⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠬⣷⠄⠀⠀⠀⠀⢰⣆⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⠀⠀⠀⠐⢿⣬⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠧⠀⠀⠀⠀⠀⠀⠀⢤⠀⠀⢠⣤⡀⠀⠙⣆⠀⠀⠀⠀⠙⠀⠀⠀⠀ ⠀⠀⣸⡄⠀⠀⠀⢀⡏⠀⠀⣀⡀⠀⠀⠀⠛⠀⠀⠈⣯⠀⠀⢞⣛⣯⡉⠀⠀⠀⣸⢦⣄⡀ ⠀⠺⢿⡿⠛⠀⠀⢸⡇⠀⡀⣿⠟⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠉⢉⡏⠁⠀⠈⠛⡾⠋⠀ ⠀⢀⠈⠁⠀⠀⢀⣹⡷⣶⠂⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀ ⢀⡾⢦⡄⠀⠰⠋⣹⡷⠛⠁⠀⠀⠀⠀⠀⣠⣤⡤⠤⣄⠀⠀⠀⠸⣧⡀⠀⣴⠛⣦⠀⠀⠀ ⠈⠻⠟⠁⠀⠀⠘⠋⠻⢶⣤⣀⠀⠀⠀⠾⠡⠸⣇⠀⠀⠀⠀⠀⠀⠈⠳⣆⡿⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠐⠏⠃⠀⠀⠀⠀⠀⠀⠀⠙⣇⣸⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣶⣶⣿⣿⣿⣿⣿⣿⣷⣶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⡿⠿⠛⠋⠉⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣶⣿⣷⣶⣦⡀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⢶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠘⢿⣶⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠘⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠰⣶⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⣸⣿⡀⠙⢿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⣠⣀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣴⣿⣿⡇⠀⠀⠙⢿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠻⣿⣿⣿⣷⡀⠀⠀⠀ ⠀⠀⠀⣼⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⢀⣼⠟⠛⢿⣿⣿⣿⣿⣷⣦⡀⠹⣿⣿⣿⣷⡀⠀⠀ ⠀⠀⣼⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠠⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠻⠿⢿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣷⣄⠹⣿⣿⣿⣷⠀⠀ ⠀⢰⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢰⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠉⢹⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⢹⣿⣿⣿⣇⠀ ⠀⣾⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠄⠀⠀⠀⠀⠀⠙⠙⠱⠃⢿⣿⣿⣿⡿⣭⠙⠋⠀⠀⠀⢿⣿⣿⣿⡀ ⢠⣿⣿⣿⡇⠀⠀⣴⣄⢠⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡇⢹⠙⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠈⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠁⡇⠈⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣧⣁⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢻⣿⢁⠏⠘⠀⡇⠀⠀⠀⠀⠀⠈⠙⠛⠿⣿⣿⣿⣿⣾⣼⣧⣦⣴⢃⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⣿⠀⢸⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣠⡄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠄⠸⡟⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡟ ⠘⣿⣿⣿⣿⣿⣿⣿⠋⠛⣿⣿⣶⣄⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⡇ ⠀⢿⣿⣿⣿⣿⣿⣿⣷⣤⣿⣿⡉⠙⣿⣦⣴⡶⢰⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠁ ⠀⠘⣿⣿⣿⣿⡟⠉⢻⣿⡿⢿⣷⣶⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢀⣠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠇⠀ ⠀⠀⠹⣿⣿⣿⣇⠀⠀⢻⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⢸⣧⣴⠖⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡟⠀⠀ ⠀⠀⠀⠹⣿⣿⣿⣆⠀⢸⢇⠀⠀⢿⣿⣿⣿⣿⡿⣿⡛⠀⠀⠀⠀⠀⣠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠹⣿⣿⣿⣧⡀⠀⠣⡀⠘⣿⠃⣿⣿⠇⣿⣧⣀⣀⣀⣤⠾⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣆⠀⠱⣤⡿⠆⠉⠉⠀⠈⠙⠻⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣷⣄⣹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣄⣀⣀⣴⣿⣋⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣛⠛⠋⠉⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣀⣀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣶⣶⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣄⢀⣴⣿⣻⡧⣤⣄⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣮⡿⠉⠈⠉⠁⣾⡋⡿⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣀⣿⣋⡁⠀⠀⠀⠀⠀⠈⠹⠃⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣤⡿⠛⠀⠀⠀⠀⠀⣤⡀⠀⠀⣠⢨⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣾⠇⠀⠀⠀⠀⠀⠀⣤⠛⢳⡀⣠⠙⠋⣷⡀⠀⠀⠀⠀⡀⠀⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣿⠃⠀⠀⠀⢀⠀⠀⠁⠀⠙⢿⠉⠁⣄⣼⠃⠀⠀⠀⠈⣿⣿⣿⡆ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣸⠇⠀⠀⠀⠀⠀⠀⠙⠳⠶⠶⠤⠬⣶⣶⠛⠁⣠⣦⣴⡦⡄⠘⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢯⣹⠗⠀⠀⢸⠀⠀⠀⡇⠀⠀⠀⠀⠀⠈⢯⠉⠉⠉⢯⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣼⠥⢠⣦⣵⠏⠀⣠⡾⠁⠀⠀⠀⠀⠀⠀⢸⣆⡤⠶⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⣗⠺⣷⠀⢰⣿⠋⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡀⢀⣼⠏⠃⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⣟⡿⠁⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⡿⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠚⢿⣛⠁⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢠⡇⢀⣀⣼⠛⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠙⠲⠤⠤⠤⠤⠤⠤⠤⠤⠤⢿⣄⣀⣀⣾⡏⠿⠯⠴⠤⠿⠷⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣶⣦⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⠿⠛⠋⠉⠉⠉⠉⠉⠙⠛⠿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⣴⣶⡀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣿⡏⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⢿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡄⠀ ⠀⠀⠀⠀⢀⣤⣾⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀ ⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇ ⠀⣰⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿ ⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢸⣿ ⢸⣿⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⣿⡏ ⠸⣿⡄⠀⠀⠀⠀⠸⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠁⠀⣸⣿⠁ ⠀⢻⣷⡄⠀⠀⠀⠀⠈⠙⠿⣿⣶⣦⣤⣤⣤⣴⣶⣾⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⣰⣿⠇⠀ ⠀⠀⠻⣿⣦⣀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⢀⣾⡿⠋⠀⠀ ⠀⠀⠀⠈⠙⢿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣠⣾⡿⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⢿⣶⣶⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣴⣾⡿⠟⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣇⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣞⠉⠈⠱⣦⠀⠀⠀⠀⠀⠀⢷ ⢻⠀⠹⣆⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠐⢺⡅⢿⠀⠀⠀⡤⠱⡄⠀⠀⠀⠀⠸ ⢸⡄⠀⠙⣆⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠇⠘⣠⣤⣾⣧⣤⣽⣦⠄⠀⠀⠀ ⠀⡗⠒⠒⠚⢻⡉⠀⠀⢹⢣⡀⠀⠀⠀⠀⠀⢠⣿⠛⠉⣀⣀⡈⠉⠻⣷⡔⠀⠀ ⠀⠹⡀⡀⠀⠀⠱⣄⠀⠈⠇⣇⠀⠀⠀⠀⠀⣾⠃⢰⠻⡍⢭⡙⢷⡄⠈⢿⡖⠀ ⠀⠀⢳⣿⣤⣤⣤⣤⣖⠀⠀⠀⠂⠀⠀⠀⠀⠉⠀⢸⢀⣸⠀⠙⣒⣿⡀⢸⣷⠀ ⠀⣰⣿⠿⠛⢉⣉⡙⠛⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠷⠶⠒⠁⢸⡇⢀⠹⢦ ⢸⣿⠃⠀⡴⢿⣿⡋⠳⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⣀⠀⣀⡜⣡⣻⠚⠉ ⢸⡏⠀⢸⡇⢈⡇⠙⠓⣺⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠺⠥⠤⠒ ⣾⣇⠀⠈⢳⣿⣁⣤⠜⠁⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⢦⠀⠀⠻⣄⠀⠀⢀⣼⠇⠀⠀⠀⠀⠀⠀⢠⡤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢧⡀⠀⠀⣀⣉⡉⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠘⢧⡀⠀⠀⠀⠀⠀⠀⣰ ⠁⠠⡀⠙⢦⡤⠖⠛⢲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⢀⣤⠇⠀⠀⠀⠀⢀⡼⠋ ⠀⠀⢻⣶⣏⠀⣀⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⣀⣴⣿⠥⣤ ⠀⠀⠀⢿⣮⣭⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣴⢞⠋⠁⢀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡶⠲⣦⣄⣀⣠⣴⠶⠚⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡾⠿⠛⠛⠛⠛⠻⠿⢷⣶⣬⣷⡀⣠⡤⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠛⠉⠁⠀⠀⠀⠀⢀⣠⠤⠤⠤⣌⡉⠛⢿⣿⣄⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⣠⣤⣤⣀⠙⠆⠀⠉⠻⣷⣦⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡟⠁⠈⣿⣷⡀⠀⠀⠀⠈⠻⣷⣦⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣶⣾⣿⣿⡇⠀⠀⠀⠀⠀⢹⣷⡀⠙⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢿⣷⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⡿⠁⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠃⠀⠀⣰⣿⠟⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣤⣤⣄⠀⠀⠀⠀⢹⣿⠈⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⠀⠀⢠⣿⣿⣶⣾⣿⡇⠀⠀⣀⣠⣴⣶⣾⠿⠟⠻⢿⣏⠉⠉⠉⠀⢹⣿⣆⠀⠀⠀⠀⣿⣆⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢘⣿⠀⠀⠈⠙⠛⠻⠛⢋⣤⣶⠿⠛⣻⠉⢀⣴⣦⣀⣷⣄⣿⣷⡀⠀⠀⣸⣿⣿⡄⠀⠀⠀⢸⣿⣭⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⣇⠀⠀⠀⢀⣴⠾⠋⣹⣿⣄⣸⣿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣷⡀⢀⣿⣿⣿⣷⠀⠀⠀⠈⣿⡆⠈⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠙⣿⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣷⣾⠋⠉⣿⣿⡇⠀⠀⠀⢿⣷⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⣀⣀⣀⠀⢻⣧⠀⠀⠀⠹⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠉⠁⠀⠀⢸⣿⡇⠀⠀⠀⢸⣷⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡉⠉⠉⠛⠿⣾⣿⡀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⣠⣦⠀⢸⣿⡇⠀⠀⠀⢸⣿⢀⣴⡿⠟⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣷⡀⠀⠀⠀⠈⢿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠠⠀⠀⠀⠀⠀⢰⡟⠈⣷⣸⣿⠇⠀⠀⠀⢸⣿⣿⠏⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⣿⣄⠀⠀⠀⠘⣿⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢸⣧⣄⣀⣀⣠⣼⡇⣀⣸⣿⡟⠀⠀⠀⠀⣿⣿⠃⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⣷⣄⠀⢀⣿⠀⠀⠀⠀⣿⠛⢿⣿⡿⠻⣿⡟⠹⣶⡋⣙⣿⣿⣿⣿⠿⠟⠋⠁⠀⠀⠀⠀⠀⣸⣿⠃⠀⠀⠀⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⢷⣼⣿⠀⠀⠀⠘⠓⠲⠾⠿⠷⠶⠿⠷⠞⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠃⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⢀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠶⠿⠷⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⢈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⢠⡾⠋⠁⠀⢀⣀⣠⣤⠤⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⢠⡟⠁⠀⠘⠛⠉⠉⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⢀⣠⣴⣶⠄⠀⠀⠀⠀⣸⣿⡤⠶⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⢻⣿⠀⠀⠀⠀⢸⠁⠀⢀⣀⣀⣀⣀⣤⣤⡤⠤⠤⠸⣧⠀⠀⣠⣿⠟⠋⠁⠀⠀⠀⠀⠘⠿⠿⠿⢿⣶⣽⣦⣠⣴⠾⣦⠀⢀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⠁⢸⣿⠀⠀⠀⠀⢸⡈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠿⢿⣧⣾⣥⣳⣄⠀⠀⠀⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠇⠀⣼⡏⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠰⠒⠒⠛⠛⠉⠉⣹⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⣶⣾⣯⣿⣷⡀⠀ ⠀⠀⠀⠀⠀⢿⡀⠀⣿⠇⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠤⠤⠖⠒⠚⠉⢹⣠⣿⡇⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣉⣿⣿⣿⣶ ⠀⠀⠀⣠⣴⠾⠇⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇⠀⣠⡤⠤⠴⠒⠒⣃⣀⣀⣴⣿⣿⠋⠁⠀⠀⠀⠀⠀⢸⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣶⡶⠾⠟⠛⠛⠉⠉⠀⠀ ⢀⣠⣾⣋⣁⣠⣤⣴⣿⣶⣶⣶⣶⣶⣶⠾⠿⠿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⠿⠷⠶⠶⠶⠶⠶⠾⠿⠟⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⬛⬛⬛⬛⬛⬛⬛🟧⬛⬛⬛⬛⬛⬛⬛⬛⬛ ⬛⬛⬛⬛⬛⬛🟧🟧🟧⬛⬛⬛⬛⬛⬛⬛⬛ ⬛⬛⬛⬛🟩🟩🟩🟩🟩🟧🟧🟧🟧⬛⬛⬛⬛ ⬛⬛⬛🟩🟩🟩🟩🟩🟩🟧🟧🟧⬛⬛⬛⬛⬛ ⬛⬛🟩⬜🟩⬜⬜🟩🟩🟩🟩⬛⬛⬛⬛⬛⬛ ⬛⬛⬜⬛🟩⬛⬜⬜🟩🟩🟩🟧🟧🟧⬛⬛⬛ ⬛⬛⬜⬛🟩⬛⬜⬜🟩🟩🟩🟩🟧⬛⬛⬛⬛ ⬛🟩⬜⬛🟩⬛⬜⬜🟩🟩🟩🟩⬛⬛⬛⬛⬛ ⬛🟩⬜⬛🟩⬛⬜⬜🟩🟩🟩🟩🟧🟧⬛⬛⬛ ⬛🟩🟩⬜🟩⬜⬜🟩🟩🟩🟩🟩🟧⬛⬛⬛⬛ ⬛⬛⬛⬛⬛⬛⬛⬛🟩🟩🟧🟩⬛⬛⬛⬛⬛ ⬛⬛🟩🟩🟩🟩🟩🟩🟩🟧🟧🟧🟩⬛⬛⬛⬛ ⬛⬛⬛⬜⬜⬜⬜🟩🟩🟧🟧🟧🟩⬛⬛⬛⬛ ⬛⬛⬜⬜⬜⬜⬜⬜🟩🟩🟧🟧🟩🟧⬛⬛⬛ ⬛⬛⬜⬜⬜⬜⬜🟧🟧🟩🟩🟩🟩🟩🟧⬛⬛ ⬛⬛⬜⬜⬜⬜🟧🟧🟧🟧🟩🟩🟩🟩🟩⬛⬛ ⬛🟧🟧⬜⬜⬜🟧🟧🟧🟧🟩🟩🟩🟩🟩🟩⬛
⠀⠀⠀⠀⠀⠀⠀⣀⡤⠴⠒⠒⠲⠦⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⠀⠀⠀⠀⠀⠀⠀ ⢠⠖⠲⣤⣏⣀⣀⣀⡴⠋⢳⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀ ⢸⣠⠖⠉⠀⠀⠀⠈⠙⠢⣠⣀⢀⣀⣉⣉⣁⣠⠤⢼⡆⠀⠀⠀⠀⠀ ⣸⠁⣀⠀⠀⠀⠀⢀⣄⠀⠹⠉⠁⠉⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣠⢤ ⣧⠀⠛⠀⠦⠷⠖⠈⠉⠀⢀⣒⠀⠀⠀⠀⠀⣀⣀⡴⣇⣀⡤⠞⢁⡼ ⠙⢦⡀⠀⠀⠀⠀⠀⠀⢀⠞⠓⠚⡛⢉⣉⣉⣡⡠⡟⠦⠤⠤⠒⠉⠀ ⠀⠀⠙⠒⢤⣤⡤⠴⠚⠁⢀⣀⡀⠀⠀⠀⣰⠋⢠⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠀⣹⠖⠒⠲⡇⠀⡗⡶⠊⡏⢸⠀⡸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠳⠞⠁⠀⠀⠀⠧⠼⠁⠳⠞⠁⠘⠛⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡄⠀⠀⠀⠀⠀⠎⠀⠀⣀⡀⠀⠘⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠀⣠⣴⢶⠋⠉⢉⡽⢢⡈⠀⠐⠀⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⣀⠀⢀⡞⢉⣀⡈⠀⠀⠀⠈⠐⡘⣆⠀⠀⠀⠀⠀⢃⡄⠀ ⠀⠀⠀⠀⢀⢀⢾⠞⠁⠀⢳⡀⠀⠀⡞⠁⠈⢻⡄⡁⠱⠒⢢⠘⠀⠀ ⠀⠀⠀⠀⡀⣸⡞⠀⣾⡇⢰⡧⠔⢤⣧⢸⣷⠈⣧⠱⣀⠄⠂⠀⠀⠀ ⡔⠐⠒⠂⠄⣧⣇⠀⠩⠄⠈⠻⠶⠞⠃⠀⠭⠀⣼⡤⠄⠒⠂⠐⠀⠃ ⢣⠀⠀⠀⠀⢺⠻⢦⣀⡀⠀⠀⣀⣤⣀⣀⣠⠼⡇⠀⠀⠀⠀⡰⠀⠀ ⠀⠱⡀⠀⠀⠀⠃⠀⠈⠁⠀⠀⠀⠀⠸⠀⠀⠰⢣⠀⠀⠀⠔⠁⠀⠀ ⠀⠀⠈⢒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠒⠉⠀⠀⠀⠀ ⠀⣀⢠⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀ ⠀⠠⠁⠃⠀⠀⠔⡂⠒⠲⠤⡀⠀⠀⠀⠀⡠⠊⠡⠠⣜⠀⠀⠀⠀⠀ ⠀⢂⠀⢣⠀⢸⠀⠇⠀⠀⢠⠁⠀⠀⠀⠀⡇⢸⠀⢀⠌⡀⠀⠀⠀⠀ ⠀⠀⠉⠁⠑⠂⠦⣈⣠⡠⠧⠄⠒⠒⠒⠀⠧⠐⠠⠋⠀⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡏⠛⠷⣶⣄⣴⠟⠛⠉⠙⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⢈⣙⣁⠀⠀⠀⢀⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠶⠶⠾⡇⣿⠙⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⠟⠒⠛⠛⠶⠦⣤⣀⣀⣀⢾⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⣴⣿⣁⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢯⡀⣽⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢼⡋⢹⡛⣷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢾⣿⣿⢷⠋⣺⠃⠀⠀⠀⠀⠀⠀⢀⣠⠤⠶⠖⠒⠶⠦⢤⣄⡀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠙⣿⠛⢻⠏⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⠇⠀⡾⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⢻⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⠀⢀⡇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢸⣤⣷⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢸⢿⣿⠀⠀⠀⠀⠀⠀ ⠀⡏⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⣾⣤⡿⢷⣄⠀⠀⠀⠀ ⠀⣧⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⣄⣀⣀⣀⣀⣀⣤⠴⠛⠁⠀⣿⠙⣷⣿⡇⠀⠀⠀⠀ ⠀⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠮⠤⣤⣶⣤⡀⠀ ⠀⢹⡇⠀⢹⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⣻⡄ ⠀⠀⠻⣴⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠋⠉⠉⠉⠳⣄⡀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⣾⠀ ⠀⠀⠀⠈⣙⡿⠿⢦⣄⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠈⢻⡙⠛⠒⠒⠶⡿⠀⠀⠀⣰⡏⠀ ⠀⠀⠀⠀⠙⠾⣆⣾⡉⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⡷⠦⣄⣀⡀⢷⡀⢀⣰⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⢻⡦⢶⣿⢷⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠈⠉⠉⠙⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⠾⠧⢤⣤⣀⣀⣀⣤⣤⠴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡀⢠⣰⣶⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣾⣧⢷⠈⣧⡀⠀⠀⠀⠀⠀⣀⣀⣠⣼⣥⣤⣄⣀⣀⣻⡆⠀⠀⠀⠀⠀⣠⡶⠟⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠧⠋⠀⠀⠈⠀⠀⣠⣴⠶⠛⠋⠉⠉⠈⠀⠀⠉⠉⠉⠛⠛⠶⣤⣀⡴⠛⠉⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣶⡄⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣷⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⠁⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡤⠤⠶⠶⠶⢶⡆⠀ ⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⡀⠀⠀⠀⠀⠹⣧⠀⠀⠀⢀⣾⠃⠀ ⠀⠀⠀⠀⢀⣿⡶⠶⣶⣗⠟⠛⠋⣿⣍⠉⢉⣭⣿⣯⡉⢉⣽⣶⣌⠉⢉⣽⡉⠉⠉⣿⡀⠀⠀⠀⠀⢹⡄⠀⠀⣼⠋⠀⠀ ⢀⣠⣶⣿⡏⡿⠻⣦⣾⠙⠻⣶⣾⠋⠙⠷⠾⠋⠁⠙⢿⠟⠁⠈⠻⢷⠟⠙⢷⣶⠟⠿⡇⠀⠀⠀⠀⠈⣿⠀⣼⠇⠀⠀⠀ ⠘⠿⣿⣿⢳⠇⠀⢈⣧⣤⡀⠀⠀⡀⠀⠀⠀⠄⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠈⠀⠀⡆⡇⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⣀⠸⢿⡿⠇⠀⣸⠉⣰⣆⣸⣷⠈⠻⠿⠟⠀⡄⠀⠀⠀⠀⠀⠀⠀⡇⡏⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⢿⠐⠇⠀⠀⠀⠙⠿⠋⠛⠛⠋⠀⠀⠀⠘⠂⠓⠀⠀⠀⠀⠀⠀⢀⢡⡇⠀⠀⠀⠀⠀⢸⣧⠤⠖⢲⡖⠀ ⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣾⡇⠀⠀⠀⠀⠀⠸⣧⠀⠀⣼⠃⠀ ⠀⠀⠀⠀⠘⢷⡄⠀⢠⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢀⡄⠀⣠⣄⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⢻⠀⢀⣿⠀⠀ ⠀⠀⠀⠀⠀⠈⢻⣶⠿⣦⡿⣧⡀⣰⢷⣄⣀⡼⢦⣀⣼⠛⢷⣤⣾⠻⢷⣟⣙⣷⡿⠁⠀⠀⠀⠀⠀⠀⢻⡼⣇⢸⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⣽⣿⠷⠿⣧⣬⣿⣯⣤⣽⣯⠤⠤⠽⠵⠴⠶⠾⠟⠚⠛⠋⠉⠉⠀⠀⠀⠀⢀⠀⠀⠀⠸⣇⢿⡾⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣆⠀⠀⠀⢿⠘⢷⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣶⣤⣀⣀⣀⡀⠀⠀⢀⣀⣀⣀⣀⣀⣠⣤⣤⣶⠆⠀⠀⠀⠀⠀⠀⠻⣦⡀⠀⣸⣆⠈⢻⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡿⢿⡟⠛⠀⠀⡽⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠤⠤⠤⠴⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣾⣿⣿⡿⠟⠋⠁⢠⣿⣿⣧⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⡿⠿⠛⠋⠉⠀⢀⣶⣦⣴⣿⣿⠟⠻⠿⢿⣿⣶⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠛⠉⠀⠀⠀⠀⠀⠉⠛⢿⣿⣷⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠿⢿⣶⡄⠀⠀⠀⠀⠀⣠⣤⣄⡀⠀⠻⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⢰⣿⠟⠀⡀⠀⣿⣿⠀⠀⠀⠀⢸⣿⣿⣿⣷⠀⠀⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⠁⠀⠀⠀⠀⠀⢀⡤⠀⢰⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢿⣿⣄⣀⣥⣴⣿⠟⠀⠀⠀⠀⠘⠿⠿⠿⠃⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⢸⣿⡇⠀⠀⠀⠀⠰⠚⠁⠀⠀⠘⠻⠿⠿⠟⠀⠀⠀⠀⠀⠀⠸⣿⣿⠛⠛⢻⣿⡆⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣴⣾⣿⣿⣿⣷⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⣮⣿⣿⠁⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⢸⣿⣿⣿⣿⣶⣦⣄⠀⠀ ⠀⠀⣾⣿⠟⠋⠁⠀⠉⠛⠻⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⢸⣿⣿⠁⠀⠉⠻⣿⣧⠀ ⠀⣸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⢿⣿⣆⠀⠀⠀⢹⣿⡇ ⢀⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡄⠀⠀⣼⣿⡇ ⠸⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⣀⣴⣿⡟⠀ ⠀⣿⣿⣿⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠋⠀⠀ ⠀⣿⣿⠈⠻⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡏⠀⠀⠀⠀ ⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀ ⠀⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⢿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠃⠀⠀⠀⠀ ⠀⠀⠈⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣾⣿⡿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣶⣶⣤⣤⣀⣀⣀⣀⣀⣀⣀⣤⣤⣴⣶⣶⣾⣿⠿⠿⠛⠉⠻⣿⣷⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣦⡄⠀⠀⣀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢡⡿⠁⠐⣯⡟⢽⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠁⣰⠟⠁⠀⠀⢩⣲⡿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠇⠀⠀⠀⠀⣀⡤⠞⠋⢀⣠⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣶⣶⣶⣶⣿⣟⣿⣿⣿⡿⠿⠿⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⢀⣠⡤⠖⠊⠉⠀⣠⡴⠟⠁⠀⠀⠀⠀⠀⠀⢀⣠⣴⠞⠛⣿⣿⣭⣿⣿⣿⣯⣿⣿⣿⣿⣯⣥⡀⠀⢠⠶⠿⣽⢿⡷⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⢉⣀⣤⠴⠞⢩⡟⡉⠀⠀⠀⠀⠀⠀⠀⣠⣾⣟⠍⠀⠀⠉⣿⣿⣩⣵⣿⡇⠉⠻⡿⠛⣿⣿⣿⣿⣟⡛⠀⣤⠀⣹⣧⠀⠙⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠶⠛⠉⠉⠀⣀⡴⣯⠀⠀⠀⠀⠀⠀⢀⣤⣾⠿⠋⠀⠀⢀⣼⠟⣸⣿⡟⢙⢧⣾⡿⠟⠀⠀⠈⢿⣯⠉⠉⠁⠻⣿⣼⡾⠛⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⡴⠞⠋⢀⡼⣆⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⢀⣼⠋⢀⣾⠟⠀⠛⢿⣿⣏⠀⠀⠀⠀⢸⢻⣿⣷⡔⣤⡴⠾⣿⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀ ⠀⣾⣝⠀⣠⣾⠋⠀⢸⠗⠀⢀⣾⣿⣵⠀⠀⠀⣰⠟⠁⣠⡿⠁⠀⠀⢠⣿⡟⠛⢿⡶⠶⠶⠶⢾⣿⣿⡇⠁⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠹⣧⡀⠀⠀⠀⠀ ⣸⢻⣏⣴⠏⢹⠀⣠⠏⠀⣴⣿⣿⣿⠁⠀⢀⡾⠋⠀⣰⡿⠁⠀⠀⢠⡾⢿⡇⢀⣿⡇⠀⠀⠀⠈⣿⣾⣧⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⡄⠀⠀⠀ ⠃⢀⡽⠃⠀⠘⢯⡿⢀⣼⡿⠋⣿⣿⠀⢠⡿⠁⢀⣼⡟⠀⠀⣠⡶⠋⠀⣼⠀⣿⢿⡇⠀⠀⠀⠀⢹⣾⣿⡄⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡷⠀⠀⠀ ⣴⡟⠁⠀⠀⠀⠀⠀⣼⡟⠀⢸⣿⡟⣀⡿⠁⢀⣾⣟⣠⣴⠟⠉⠀⠀⠀⣿⣿⡇⢸⣿⡴⢶⣤⣄⠘⣿⣿⡇⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣀⣸⣧⠀⠀⠀ ⠋⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⣾⣿⣸⣿⣧⣤⣼⣿⠛⠁⠀⠀⠠⢄⣀⠀⢹⣿⡇⠈⣿⣧⠀⠀⠉⠀⢻⣿⣧⠀⠀⣿⠀⠀⠀⠠⡇⠀⣠⣾⣿⡿⢿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⣿⡿⢿⣿⡟⣿⣿⠃⠀⣠⣄⣀⠀⠀⠉⠓⢾⣿⡷⠓⢻⣿⣭⣟⣛⣓⣭⣿⣿⣧⣴⣿⣶⣀⣀⣰⣷⡾⠛⠉⣿⡇⢸⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⣿⡧⣿⣯⣶⣿⣿⡗⠺⢿⡽⣯⣍⠓⠦⠈⠀⣿⡇⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡉⢹⣿⡧⠀⠀⣿⣷⢸⡏⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⢠⣿⣿⣿⣻⣿⣿⣿⣇⣀⣾⣷⣀⣹⣗⠀⠀⠀⠘⢧⠀⠀⠀⣹⠛⠻⣶⡀⠈⠙⠻⢿⣿⣿⣿⣻⢻⣿⡇⢀⠀⣿⢿⣼⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠧⠀⠀⠈⠓⠒⠾⠿⠤⣤⡀⢸⣿⣿⣿⣇⢿⣿⢇⠰⠀⢿⡾⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢸⣿⣿⣿⣿⣿⣿⢸⠀⠀⢸⣷⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⡇⠸⣿⣿⡟⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡦⣄⡄⣼⣿⣿⣿⣿⢾⣿⢸⣭⠀⢸⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⡿⣿⣧⣿⣿⢿⣯⣿⠏⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣿⣿⢿⣿⣿⣿⣿⠀⣿⠀⢸⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⡟⠀⣿⣿⣿⣿⢻⣿⣿⡆⢸⣿⣿⣦⡀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡇⡈⢹⣿⣿⣿⠀⢻⠀⢸⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡟⠀⠀⢹⣿⣿⣿⢻⣿⣟⠃⠘⣿⣿⣿⣷⣄⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⡌⣵⢾⣿⣿⣿⣶⠥⠀⣾⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⡇⠀⠀⠈⣿⣿⣯⣼⡿⣿⣴⣆⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⣿⣿⣿⣿⢽⣿⡿⣼⣿⣿⣿⠙⡋⠀⣿⡿⢿⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠿⣿⡇⠈⠉⠛⠻⠛⠿⣿⣿⣿⢿⡷⣤⣀⣤⣤⡤⠶⠟⠛⠉⢸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣄⣰⣿⠁⠈⠛⢦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣄⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠁⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠻⠗⠛⠋⢻⣿⣿⣿⠟⠁⠀⠀⠀⠀⠈⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠿⢿⣿⣷⣶⣶⣶⣶⣶⣾⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣀⣠⣴⣶⣶⣦⣀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣛⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣿⣯⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠔⠒⠉⠉⠈⠀⠈⠉⠙⠒⠢⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠣⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠃⠀⠀⠀⠀⡀⠀⡀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⣿⢧⠇⠀⠀⣼⠃⣼⠃⠀⡾⢀⣖⡀⠀⠀⢸⣆⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⠋⡿⢹⣷⣿⡇⣶⣼⡇⣾⣧⠄⣸⠁⢸⣏⣿⠁⣰⡾⣿⣀⢶⡄⠀⣷⡀⠀⡄⠀⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⢸⣿⣿⣿⡾⢰⣿⢻⣿⣿⣿⣠⣿⣰⣿⣿⣿⣾⣿⠁⢸⣿⣤⣷⡄⣿⣇⣀⣿⢀⣿⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡟⣿⣿⢡⣿⡇⣘⣿⣯⣿⠿⢿⡿⠿⣿⣿⡿⠃⣒⣿⡏⣿⡇⣿⣿⣿⣿⣧⣼⣧⢻⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⢠⣿⡇⣾⡿⠟⢹⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢩⣿⣿⣿⡟⢧⣿⣿⣿⣿⡿⢿⣿⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⢠⡿⠁⢹⣿⡇⠀⠘⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⡿⠃⡼⣿⣿⢿⡟⠁⠈⢻⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⢀⡟⠀⠀⣸⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡯⠉⡟⢪⡇⢀⠀⢸⡼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣾⣡⡄⣰⠟⠛⠺⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⣧⠞⠃⣼⠀⣾⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡟⣷⡏⣔⠀⣀⠘⢧⡀⠀⠀⠀⠐⠒⠒⠒⠂⠀⠀⠀⠀⣸⠅⠀⢸⡇⠂⢰⠇⢀⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢿⣧⣿⠞⠁⣀⣠⣿⠦⢄⡀⠀⠀⠀⠀⠀⠀⣀⡤⠶⣿⣿⣤⡾⠀⣠⡿⠳⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣱⣬⠷⠛⠓⠋⠉⠀⠀⠀⠀⢸⠉⠒⠒⠒⣲⠍⡹⠀⢰⡏⠸⡿⠛⠛⠙⣧⣴⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠔⢊⣴⣿⠋⠀⠀⣀⣀⡤⠤⠴⢶⡶⠾⠀⢀⡴⠊⠁⠀⢧⣤⣼⣇⡀⠁⠀⠀⣴⣿⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⢀⠜⢁⡴⣻⠟⡱⣾⡏⢿⠁⠀⠀⠀⠀⢾⡆⢀⠔⠁⠀⠀⠀⠀⢠⣿⠿⠃⠉⠙⢲⣶⣿⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⡔⢁⡴⢋⣼⡧⠊⠀⠘⣿⡌⢷⡀⠀⠀⠀⠀⣷⠥⠤⠤⠤⠤⠤⢴⡏⠁⠀⠀⠀⢠⣾⠁⣼⡿⠳⡄⠀⠀⠀ ⠀⠀⣼⡶⠋⢠⢾⡏⠀⠀⠀⠀⠈⢿⣌⢻⡆⠀⠀⠀⢹⡛⠛⠛⠛⠓⢲⡟⠀⠀⠀⢀⣴⣿⣟⣿⠟⠁⠀⠈⣆⠀⠀ ⢀⡼⠋⣀⡴⠋⡜⡄⠀⠀⠀⠀⠀⠀⡿⣦⡙⢦⣀⠀⠀⣧⠀⠀⠀⢠⡟⠀⠀⢀⣤⠞⣱⣿⣿⡏⠀⠀⠀⠀⠘⡄⠀ ⠉⢀⡼⠋⠀⢰⠁⢠⠀⠀⠀⠀⠀⠀⡇⠈⠻⣦⣍⠳⣤⣹⡀⠀⢠⡟⣀⡤⠖⣋⣴⣿⡿⠹⣿⠀⠀⠀⢠⠃⠀⢹⠀ ⣤⠟⠀⠀⣠⠃⠀⠸⡄⠀⠀⠀⠀⠀⠙⠢⣄⠈⠛⢷⣦⣝⣇⢠⣟⣋⣭⣴⠾⠛⢁⣼⠃⠀⣿⠀⠀⢠⠇⠀⠀⠀⡇ ⠁⠀⠀⠀⠇⠀⢀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠒⢾⠛⠻⠿⠟⢻⡿⠒⠒⠚⠁⣼⠀⢠⡇⠀⢀⡎⠀⡈⠀⠀⣇ ⠀⠀⠀⢸⠀⠀⢸⠀⢸⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣦⢤⣀⣤⠊⠀⠀⠀⠀⠀⣿⠀⣸⡇⠀⣌⠀⢀⠃⠀⠀⢸ ⠀⠀⠀⠸⠀⠀⠈⡆⠸⣿⠀⠀⠀⠀⠀⠀⠀⣀⣤⠖⢉⡀⢠⠃⢳⠀⠀⠀⠀⠀⠀⣿⠀⣿⠁⠈⠹⠀⡘⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣄⡀⠀⣠⡤⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢺⠋⠀⠉⠛⠞⠁⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⠤⢾⢹⠒⠒⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡀⠀⣠⠴⠒⠋⠉⠙⠓⠒⠤⣄⠤⠷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡴⢴⣿⣣⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠸⣏⠀⠀⠀⠀⠀⠀⠀ ⣤⣴⣷⠞⣼⠁⠀⠀⠀⠀⠀⣀⣠⠤⠤⢤⣀⡀⠀⠈⢧⠀⠀⠀⠀⠀⠀ ⠈⢛⡟⢺⠇⠀⠀⠀⠀⢠⠋⠀⠀⠀⠀⠀⠀⠈⠑⢆⠈⡆⠀⠀⠀⠀⠀ ⠀⡞⠀⡞⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⡇⢀⠀⠀⠀⠀ ⠀⡇⠀⡇⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣿⠀⠀⠀⠀ ⠀⠇⠀⡇⠀⠀⠀⠀⠀⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⣏⣹⣦⡀⠀⠀ ⠀⡆⠀⡇⠀⠀⠀⠀⠀⠀⠉⠢⠤⣀⣀⣀⣀⠤⠞⠁⠀⣏⢳⣿⠇⠀⠀ ⠀⣇⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢒⡶⠖⢤ ⠀⠹⡄⢸⡀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠴⠢⢄⡀⠀⠀⠀⠀⠀⡏⠀⠀⢸ ⠀⠀⠙⠲⡷⢦⣀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠙⣖⠒⠦⠤⢼⠀⠀⢀⡟ ⠀⠀⠀⠙⠳⣰⣍⠀⠀⡀⠘⠁⠀⠀⠀⠀⠀⠀⢸⠢⠤⣀⣸⣀⣀⡞⠁ ⠀⠀⠀⠀⠀⠀⠸⣷⣿⣿⡇⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠈⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠉⠉⠙⠒⠒⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠂⢄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⠊⠠⠒⠉⠉⠉⠉⠐⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀ ⠀⠀⠀⠀⡰⠁⡔⠁⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⢀⠄⠒⠒⠒⠒⢄⠀⠘⠄ ⠀⠀⠀⠠⠀⠀⡇⠀⠀⠀⠀⠀⢀⣀⡀⢸⠀⠀⠀⠔⠁⠀⠀⠀⠀⠀⠀⠡⠀⢰ ⠀⠀⠀⡇⠀⠀⠡⡀⠀⠀⠀⠀⠸⠿⠏⡜⠀⠀⢸⠀⠀⠀⠀⠀⢀⣀⠀⠀⠃⢸ ⠀⠀⠀⡇⠀⠀⠀⠑⠄⢀⡀⢀⡀⠠⠊⠀⠀⠀⠘⡀⠀⠀⠀⠀⢿⣿⠇⢀⠇⢸ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⠤⣀⣀⡀⠀⠀⣠⣤⡄⠐⢄⠀⠀⠀⠀⠀⡠⠊⠀⢸ ⠀⠀⠀⡇⠀⠀⠀⠀⢠⠃⢀⠤⢀⡈⠉⣾⡟⠁⠀⠀⠀⠈⠁⠀⠈⠁⠀⠀⠀⢸ ⠀⠀⠀⣱⡤⣄⣀⢠⠃⢀⠇⠀⠀⠈⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸ ⠀⠀⢠⠁⠀⠀⠀⠉⠁⠚⠢⢄⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃ ⠀⢀⠃⠀⠀⠀⠀⡖⠢⢤⣀⠀⠳⡀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀ ⠀⡌⠀⠀⠀⣠⠤⣈⡢⡀⠀⠉⠛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀ ⡴⠀⠀⠀⠀⠳⣄⠀⠈⠁⠀⠀⠀⠐⢄⠀⠀⠀⠀⠀⢀⣀⠠⠒⠉⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⡤⠤⢍⣲⡄⠀⠀⠀⠀⠈⢹⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢧⣄⣀⠀⠀⠈⠲⠤⣀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⢿⣿⣷⣶⣤⣤⡀⢳⡀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠉⠛⠛⠿⠦⣷⢄⣀⣀⡀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣧⠸⣧⠀⠄⠀⠀⡀⠀⢀⡠⢤⠒⡔⢢⠀⡀⣻⣾⠉⠉⠻⣦⠠⠄⠀⣄⠀⠈⢿ ⣿⢀⢻⣦⠀⠐⢠⠙⣦⠀⠳⡌⠱⡈⢆⠱⢻⡍⢿⠀⠀⢀⡾⢳⡌⠄⡘⡆⢂⠸ ⢹⡆⠀⠻⣆⠀⢣⡉⠼⣷⡁⢌⠡⠐⢂⠡⢘⡯⢸⣣⣴⣾⣷⣦⣽⣶⡄⡗⢨⠀ ⠘⣗⠖⠲⠟⣿⡋⠁⠆⢹⣷⡠⢈⠐⡀⢂⠘⣼⣿⠟⢉⣀⣄⣉⠙⠻⣷⣽⠀⡃ ⠀⢹⡌⣄⠀⠁⠻⣔⠈⢈⡯⣧⢀⣂⣤⡒⢉⣿⠃⣴⠻⣿⢯⣙⣷⡄⠙⣿⡟⢀ ⠈⢄⢻⣿⣤⣦⣶⣼⣗⢂⠰⠘⠊⠀⠀⠀⠀⠋⠀⣿⢀⣹⡌⠛⣺⣿⡀⢸⣿⠀ ⢈⣼⣿⠿⠛⢉⣉⣛⠛⠷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡷⠶⠞⠃⢸⡇⢠⢻⢷ ⣾⣿⠋⢀⡾⢿⣿⡟⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⣅⣠⣠⡿⣱⣿⠚⡍ ⣿⡏⠀⢸⡇⢘⡧⠙⠟⣻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢁⠀⠻⣥⠮⠞ ⣿⣇⠀⠈⢿⣿⣡⣤⠞⠃⢼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠠⠁⡀⠂⠔ ⠹⣿⢦⡀⠈⠻⣧⡐⡀⢠⣾⠇⠀⠀⠀⠀⠀⠂⢠⣤⣀⠀⠀⠀⠀⠀⠐⠀⠈⡔ ⠀⠜⢷⡠⡀⢤⣌⣍⡛⠉⠁⡀⢀⠀⠄⠀⠀⠀⢿⡬⣙⢧⡄⠀⠀⠀⠀⡈⠐⣼ ⠓⢮⡡⠝⣾⡼⢖⡛⢳⡎⢀⠐⠀⠀⠀⠀⠀⠀⠘⣷⣥⡾⠇⠀⠀⠠⠀⣰⣼⢟ ⢉⡒⢻⣶⣏⣐⣦⡵⠟⠁⠠⠈⠀⠁⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⡀⣠⣼⣿⡷⣾ ⠀⡉⢂⣿⣮⣭⣁⣠⠐⠈⠠⠐⠀⠄⡀⠀⠄⡀⢀⡀⣀⣀⣥⣶⣿⢻⡙⢶⣰⢸
🟩🟩⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ 🟩🟩🟩⬜🟩⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜🟩🟩🟩🟩⬜🟩⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜🟩🟩🟩🟩🟩⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜🟩🟩🟩🟨🟨🟨🟨🟨⬜⬜⬜⬜⬜ ⬜⬜🟩🟩🟩🟨🟨🟨🟨🟨🟨🟨⬜⬜⬜⬜ ⬜⬜⬜⬜🟨🟨🏽🏽🟨🏽🏽🟨🟨⬜⬜⬜ ⬜⬜⬜⬜🟨🟨🏽🟨🟨🏽🟨🟨🟨🟨⬜⬜ ⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬜ ⬜⬜⬜⬜🟨🟨🏽🏽🟨🏽🏽🟨🏽🏽🟨🟨 ⬜⬜⬜⬜🟨🟨🏽🟨🟨🏽🟨🟨🏽🟨🟨🟨 ⬜⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨 ⬜⬜⬜⬜⬜⬜🟨🟨🟨🏽🏽🟨🏽🏽🟨🟨 ⬜⬜⬜⬜⬜⬜⬜🟨🟨🏽🟨🟨🏽🟨🟨⬜ ⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟨🟨🟨🟨⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟨🟨🟨🟨⬜⬜⬜
⢿⢻⡛⡏⢏⡟⢻⡹⣛⠟⠛⡉⠛⡙⠛⢿⣏⠻⣟⢫⣟⣿⣿⡿⣝⢯⢯⣽⡻⢼ ⢇⢧⠳⡙⠦⣘⠡⡑⢄⠊⠡⢀⠁⠄⡈⠄⢋⠗⡬⢳⣮⡽⣒⡟⣾⡹⣎⣣⠵⣸ ⢌⢢⡑⠥⢃⡄⢣⠐⠠⠈⠄⠠⢀⠂⠠⠈⡄⢊⠑⡈⢿⠓⡰⣿⣖⡹⢳⢧⣛⢸ ⢨⠐⡌⠘⣤⠘⢠⡌⢠⠁⡌⠐⠀⡄⠁⡎⠐⡌⠐⢠⠈⣤⠁⢻⣿⡖⠉⡎⣽⢸ ⢀⠣⢌⣱⣤⣳⣦⣶⣌⣒⠤⣃⠔⡠⢃⠄⢣⠐⡡⠂⢌⠠⡘⢦⣿⣏⠱⠲⣍⢺ ⣌⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢆⠑⡈⢐⠂⠱⢠⠑⣈⠶⣙⢶⣳⣮⣯⣷⣼⣸ ⢻⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣇⠀⠂⠐⠠⠈⡐⢀⠣⢜⡸⡹⣾⣿⣿⣿⣿⣿⢿ ⠉⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣷⡈⠐⠀⠀⡀⠀⠄⠂⠂⠡⡑⣿⣿⣿⣿⣿⣿⣿ ⣍⠦⣌⢛⡛⠿⠻⠟⠛⠋⠁⠄⠐⠀⠐⣀⠐⣨⣴⣞⣦⣧⡔⡘⢿⣿⣿⣿⣿⣽ ⢌⠲⢤⠃⢈⣤⡞⠻⣧⠀⠠⠀⠀⠂⢀⠸⠿⢿⣿⢾⣾⣿⣿⠗⠠⢉⠙⠋⣻⢻ ⣌⠓⡎⡔⣻⡶⢫⣵⡟⠀⠀⢀⠡⠀⠆⠠⠐⣀⠚⡿⡟⢋⠠⢈⠐⡄⡈⡔⡹⢻ ⠀⡜⢣⡸⠟⠀⠀⠟⠃⠘⠠⠀⡄⢣⠘⡤⢛⡄⣻⣸⡧⢄⠣⠄⡤⢀⠣⣘⠣⢼ ⡐⠌⠡⠐⡀⠌⠐⠠⢈⢂⠡⢣⠜⣧⣷⣔⣣⣞⣵⣿⣿⣮⣣⠝⣤⢋⡔⢢⡱⢸ ⠰⣈⠑⢂⠠⠐⡈⡐⠌⢢⠙⣆⢫⠴⣩⢛⡝⣫⢛⠦⣭⢙⠿⣿⠶⣍⡞⣥⢓⢸ ⠱⠄⠎⢆⠳⡐⢄⠢⢉⠦⣙⠬⡒⡍⢦⡉⢖⡡⣋⡞⣤⢋⡞⣵⣻⣞⡼⢦⣏⣸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣤⣀⣀⠀⠀⠀⠀⠀⢠⡾⠋⢿⡄⠀⠀⢀⣀⣤⣶⡾⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⣯⡛⢶⣄⠀⢠⡟⠀⠀⠀⢻⣀⡴⠋⣱⠟⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣤⣀⣀⠈⢳⡄⠙⢷⣼⠁⠀⠀⠀⠈⣿⠁⣰⠏⠀⠀⣀⣀⣤⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⢿⣟⠿⣿⣄⠀⣿⠀⢠⡾⣦⠀⢻⡆⣿⡴⠞⢛⣿⠏⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢷⡅⠙⠳⣿⣠⡟⠁⠘⣧⣼⠟⠉⢀⣴⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠀⢻⡄⠀⠘⣿⠀⠀⠀⢹⡏⠀⢀⡾⠁⠀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣶⣬⣷⠀⢰⡇⠀⢀⡀⠀⣿⠀⣼⣡⣶⡿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣮⢻⢷⣼⡇⣸⠟⢷⡀⢹⡷⠋⣱⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣄⡚⣧⠀⠹⣷⡏⠀⠘⣷⠟⠁⣰⣏⣠⣤⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡻⢷⣄⢸⡇⠀⠀⣿⣀⡴⠛⣽⠟⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣠⣉⣻⣆⣀⣠⣿⢋⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠻⣿⠟⠛⠛⠛⠛⢿⠛⠛⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⡋⠀⠀⡴⠻⣄⠀⠀⠀⢠⠏⠳⣄⠀⠀⡟⢷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⠏⠀⢧⣠⠞⠀⠀⠈⢦⡀⣰⠃⠀⠀⠈⠑⣼⡀⠀⠙⣧⡀⠀⠀⠀ ⠀⠀⠀⣼⠃⠀⣠⠞⢧⠀⠀⠀⠀⢀⡽⢇⠀⠀⠀⠀⣰⠃⠙⠢⣄⡘⣷⡀⠀⠀ ⠀⠀⣼⢧⡴⠞⠁⠀⠀⠱⣄⠀⣠⠟⠀⠀⠳⣆⠀⡼⠃⠀⠀⠀⠀⣹⠻⣷⡀⠀ ⠀⢸⡟⠉⢣⡀⠀⠀⠀⠀⣹⢾⠁⠀⠀⠀⠀⢀⡟⢦⣀⠀⠀⠀⢠⠃⠀⠹⣧⠀ ⠀⣿⠀⠀⠀⢳⡀⠀⡠⠞⠁⠀⠑⢄⠀⠀⣠⠋⠀⠀⠈⠓⢤⣠⠇⠀⠀⠀⢿⡀ ⢀⡏⠀⠀⠀⣠⠽⣏⠀⠀⠀⠀⠀⠀⣹⢾⡁⠀⠀⠀⠀⠀⣰⠋⠙⠲⢤⣀⢸⡇ ⢸⣧⡤⠖⠋⠁⠀⠈⠳⣄⠀⠀⣠⠞⠁⠀⠉⠳⢤⡀⢀⠞⠁⠀⠀⠀⠀⢠⢿⡇ ⢸⡇⠙⣄⠀⠀⠀⠀⠀⣈⠷⣏⠀⠀⠀⠀⠀⠀⢀⡽⠛⠤⣄⡀⠀⠀⡰⠃⢸⡇ ⠀⣷⠀⠈⢧⣀⣠⠴⠊⠁⠀⠈⠳⢦⡀⠀⢀⡤⠋⠀⠀⠀⠀⠉⠙⡾⠧⣄⣸⠇ ⠀⢻⡤⠔⠚⠙⢦⡀⠀⠀⠀⠀⠀⠀⣉⠷⠯⣀⠀⠀⠀⠀⠀⣠⠊⠀⠀⠀⣿⠀ ⠀⠘⣷⡀⠀⠀⠀⠙⠢⣀⠀⣀⠴⠊⠁⠀⠀⠈⠙⠒⠤⣤⣞⠁⠀⠀⠀⣼⠇⠀ ⠀⠀⠙⣧⠀⠀⢀⣀⡴⠞⠛⢦⣀⠀⠀⠀⠀⠀⢀⡤⠊⠁⠈⠉⠛⠲⣶⠟⠀⠀ ⠀⠀⠀⠙⣷⣏⡉⠀⠀⠀⠀⠀⠈⠑⠢⣤⣠⠖⠉⠀⠀⠀⠀⢀⡤⣺⠏⠀⠀⠀ ⠀⠀⠀⠀⠘⢧⡙⠢⣄⡀⠀⢀⣀⠤⠚⠉⠉⠙⠒⠦⢤⣀⡴⢋⡼⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢶⣴⠿⠺⢯⣀⠀⠀⠀⠀⠀⣀⠴⠊⣁⡼⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣤⣌⣉⣶⣦⣶⣩⣤⠶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣷⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠁⠋⢿⣿⡀ ⣀⣤⣶⣶⣿⣿⡿⠿⠿⢷⡀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⣿⠏⠀⠀⠀⢸⣿⡇ ⠻⣿⣿⣿⠏⠀⠀⠀⠀⠀⣹⡶⠖⠛⠉⠉⠉⠉⠉⠛⠓⠾⣦⣀⠀⠀⢸⡿⠁ ⠀⠈⠻⢿⣿⣦⣄⣀⣤⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣞⠉⠀⠀ ⠀⠀⠀⠀⠉⠛⠋⣹⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⠀⠀⠀⠀⠀⣼⠀⢀⣶⡏⢱⠀⠀⠀⠀⢀⡔⠒⣦⡀⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⠀⠀⠀⠀⢰⠃⠀⢸⣿⣿⣿⠀⠀⠀⠀⣾⣿⣶⣿⣿⠀⠀⠀⠀⠀⢀⡇⠀ ⠀⠀⠀⠀⠀⢸⡍⠑⡜⠿⠟⠋⠀⢀⠀⠀⠹⣿⣿⣿⠟⠀⠀⠀⠀⠀⣼⠁⠀ ⠀⠀⠀⠀⠀⠀⠻⣦⡇⠀⠀⠀⠀⠻⡀⠀⠀⠀⠉⢡⠊⠀⠈⢢⢀⡼⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣤⣀⣠⠞⡇⠰⡟⢦⠀⠸⣀⣀⣤⠾⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠁⢼⡿⣿⣷⡈⠛⠛⣏⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠁⠀⠀⠀⠹⣤⣾⣿⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢷⠒⢦⠀⠀⠀⢀⠖⢲⠀⢀⡿⠻⣿⣿⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢯⡳⠤⠃⠀⠀⠸⣤⠜⣀⡞⠁⠀⠈⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠓⠒⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣴⣶⣾⡿⠿⠿⠛⠛⠛⠛⠛⠛⠻⠿⢿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⡿⠿⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⣾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀ ⠀⢠⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀ ⠀⣾⠏⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣧⠀⠀⠀ ⣸⡏⠀⠀⠀⠀⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣷⣀⠀⠈⣿⡄⠀⠀ ⣿⠀⠀⠀⠰⢤⣬⣟⣽⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣻⣿⣿⠯⠀⠀⢸⣇⠀⠀ ⣿⠀⠀⠀⢠⡟⠉⢻⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠟⠛⠀⠀⠀⢿⡄⠀ ⣿⠀⠀⠀⡟⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢸⣷⡀ ⣿⡄⠀⢰⣽⣤⣤⠾⣣⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⣀⣼⣿⠀⠀⠀⣿⡇ ⢻⣇⠀⠸⣿⣶⣶⣶⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⢿⣿⠟⠁⠀⠀⠀⣿⡇ ⠈⣿⡆⠀⠀⠙⢿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⣿⡇ ⠀⠘⣷⠀⠀⠀⠈⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡏⠀⠀⠀⠀⢀⣿⠀ ⠀⠀⠘⣇⠀⠀⠀⠈⢻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡟⠁⠀⠀⠀⠀⣸⠇⠀ ⠀⠀⠀⠿⣇⠀⠀⠀⠀⠹⣿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⠟⠋⠀⠀⠀⠀⠀⣠⡟⠀⠀ ⠀⠀⠀⠀⢿⣧⡀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣶⣦⣤⣀⣀⣀⡀⠀⠀⠀⠀⠀⣀⣀⣠⣴⣾⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠿⠿⠿⠿⠿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⠶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⠶⠶⠶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⣰⣯⣿⣀⡄⠀ ⠀⠀⡌⠀⠀⠀⠀⠀⠀⢀⡠⠔⠊⠁⢀⠀⣀⠀⠀⠉⠐⠠⣀⠞⠣⠀⠀⢨⠱⡄ ⠀⡘⠀⢀⠄⠊⢻⢺⠍⠀⠀⠀⠀⠀⠒⢋⠁⠁⠀⠀⠀⠀⠀⢑⢄⢆⡀⠜⠀⢳ ⡐⠀⠀⢸⠀⣠⢠⡡⠀⠀⠀⠀⠀⡾⠗⠛⠳⠀⠀⠀⠀⠠⡀⠀⢪⢇⠉⠢⡀⠻ ⠀⠀⠀⠘⡀⡑⠁⠀⠀⠀⠄⢠⠀⡆⠀⠀⠀⠆⡤⠄⠄⣄⡁⠀⠀⡄⡦⢴⠙⠻ ⠀⠀⠀⠀⠸⠺⠀⠀⢀⣼⢄⠈⡆⡔⢄⠀⠰⢊⣇⣦⣈⡔⢣⡀⠀⢃⢳⠀⡆⠀ ⠀⠀⠀⠀⠀⢷⡄⠀⢸⢹⡶⢟⣛⠆⠀⠀⠀⠈⢩⣶⣦⠙⣿⠇⠀⢸⢸⠈⡇⠀ ⠀⠀⠀⠀⢠⠻⡙⢄⣈⣿⠁⣿⣿⡇⠀⠀⠀⠀⠘⣿⠟⡀⣺⡡⢀⡎⡼⠀⠟⣄ ⠀⠀⠀⢀⢂⠌⠘⢄⠟⣩⠀⠈⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⠒⢸⡅⡆⢸⣿ ⠀⠀⠀⡸⢂⠀⢀⡼⠀⢠⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠇⠜⡼⢠⠀⢸⣿ ⠂⢄⣰⠕⣁⠔⠁⠃⠀⠀⠙⠢⡀⠤⠤⢄⡀⠀⠀⠀⢀⢴⣹⡖⢻⡇⠈⠈⢸⣿ ⠀⠀⠁⠋⠤⠀⡼⠰⡉⠢⡉⠙⣤⠒⡧⠔⣁⠀⠄⠊⢽⣾⣿⣧⣸⠇⠀⠀⠸⣿ ⠀⠀⠀⠀⠀⠀⠘⠄⣐⡄⠙⣆⠈⣾⠸⡀⠀⠀⠀⢀⢸⡿⣛⡻⢿⠂⣸⡀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⡎⠁⠁⡆⠈⠒⠄⡉⠀⡜⢁⠘⡸⢤⠉⠉⠀⡆⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠹⢄⠀⠀⠈⡝⡄⢸⠀⢡⠈⠣⣠⣚⣷⡇
⠀⠀⠀⠀⠀⢀⡤⠖⠋⢉⡉⣠⣁⣤⣀⣉⠉⡉⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⡋⢀⠂⡁⠚⠿⠭⠵⠆⠛⠋⠡⠠⠁⣄⡧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠲⠶⢖⣳⣶⣶⣶⣶⣷⣼⣶⣿⣟⣭⣤⣀⡀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⢀⣠⣶⣶⠞⠛⡉⠡⠠⠄⠠⢀⣤⣴⣾⣿⣿⣿⣟⣯⡶⣄⠀⠀⠀⠀ ⠀⠀⣠⣾⣿⡛⢻⣷⡀⢂⠁⠂⢌⣰⣿⣿⣿⣯⣀⣸⣿⣿⣿⣝⢷⡆⠀⠀⠀ ⠀⢰⣿⠛⠉⠙⢿⣿⣿⡀⠌⠡⣼⠏⠛⠁⠀⠀⠉⣿⣿⣿⣿⣿⣯⢻⡄⠀⠀ ⠀⣿⠃⠀⠀⣀⣼⣿⣿⡅⠈⢴⡏⠀⠀⠀⠀⣀⣴⣿⡏⠁⠹⣿⣿⣇⢻⡀⠀ ⣴⡿⠀⢲⣾⣿⡏⠀⢹⡇⠘⣼⠂⠀⠀⢶⣿⣿⣿⣿⣧⣀⣠⣿⣿⣿⠸⡇⠀ ⢸⡗⠀⠈⢿⠿⣧⣴⣾⡇⠐⣸⡇⠀⠀⠈⢿⣿⠿⣿⣿⣿⣿⣿⣿⣿⢣⡇⠀ ⢸⣿⠀⠀⠈⣶⠏⡿⣿⣿⠀⠄⢷⡀⠀⠀⠈⢷⣾⡟⣹⡏⣿⣿⣿⡿⣹⠄⠀ ⠈⢿⡄⠀⠀⠘⣾⣥⣿⠗⣆⣾⣰⠷⣄⠀⠀⠈⣿⣷⣿⣷⣿⣿⡿⣱⠏⠀⠀ ⠀⠘⢿⡷⣶⣶⡿⠟⠋⠠⠙⠋⠙⡀⠌⠳⢦⣄⣈⣿⣿⠿⠟⠋⣴⡿⠀⠀⠀ ⠀⠀⠈⢿⣶⡽⢿⡹⢀⢁⠂⡁⢂⠐⡈⠔⡰⣎⣿⣳⢎⠶⣠⣽⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣷⣥⣈⠀⢂⠐⠄⢂⠐⠄⠻⣜⢣⣟⣼⡿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠓⠾⠴⠦⡼⡶⢷⣾⡟⣛⠉⠀⠀⠀⠀⠀⠀⠀⠀
If you'd like to report a bug or suggest a feature, you can provide feedback here. Here's our privacy policy. Thanks!