Exercise ASCII Art

Copy & Paste Exercise ASCII Art Emojis & Symbols

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣰⡏⢸⡇⠀⠀ ⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⣿⣉⣉⣉⣉⣉⣉⣉⣀⡿⠀⠀⠀ ⠀⠀⠀⠰⣏⠁⠉⠉⠉⠙⣷⠀⠀⠀⠀⠈⠉⠉⢹⣏⣉⣉⣿⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⢻⡟⢿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⠉⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣷⣘⣧⣀⡀⠀⠀⠀⠀⠀⠀⢸⠇⣸⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠛⠉⠉⠉⠉⠉⠛⠛⠛⠛⠓⠶⠿⠶⢿⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡿⠀⢠⡾⠛⠳⣄⠀⠀⠀⠀⠀⠀⢀⣤⣤⡀⠙⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣇⠀⢸⣇⣸⣦⡟⠀⠀⠀⠀⠀⠀⢿⣁⣨⡗⠀⢸⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣦⡀⠉⠉⠙⠷⠆⠀⠀⠀⠀⠀⠈⠉⠉⠀⣠⡟⠀⠀⠀⠀⠀ ⢰⡶⠶⠶⠶⠾⠿⠷⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠿⠿⠶⠶⠶⠶⢶⡆ ⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢤⡖⠺⠉⠓⠢⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢞⣿⣿⣭⣟⣯⣾⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⢸⣅⠉⠀⢻⣦⠀⡀⠘⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣟⣿⡿⣿⣿⣿⢟⣿⣿⠟⢿⡀⠀⠀⠀⠀⠀⠀⠀⢟⣿⣾⣿⣿⣿⣇⠀⢡⠘⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣶⣿⣻⡿⠁⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠉⠉⠁⢻⠈⡆⢳⡈⢳⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⣽⣿⡏⠀⠐⠾⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠟⢰⡥⠀⢝⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣷⡘⠃⠀⠀⠀⠀⠙⢁⣱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⢣⠞⣀⢇⠈⠱⠚⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢿⣻⣿⣿⣿⡅⠀⠀⠀⢦⣬⡇⠀⠀⠀⠀⠀⠀⠀⢠⠚⡏⠉⠑⢺⡄⠀⠀⠙⣧⡀⠇⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⣷⠈⠉⠙⠛⠿⢿⣷⣦⣄⢰⣾⠖⣊⣉⡩⠍⢉⠓⠶⣿⢁⠜⢇⠁⢀⣹⣷⣤⣤⣈⣇⠀⣸⢧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⢛⡇⠉⠀⠀⡀⢀⡀⠀⠀⠉⢙⡏⠁⠀⢹⣇⡀⠙⣏⠢⡌⡉⠉⣒⡷⠚⠉⠉⢻⣿⣿⣿⣵⣾⣷⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠁⢀⣼⠋⣿⡅⠀⠀⠀⠀⠈⠉⠓⣦⡨⠀⡀⠀⠀⢈⣉⡒⠒⣶⡶⠂⠉⠀⠠⣤⣴⣶⣾⣿⣿⠿⠛⠉⠁ ⠀⠀⠀⠀⠀⠀⠀⣴⠋⠉⠙⠋⠉⢸⣥⡤⠜⠋⢤⣦⢤⣤⣴⡾⠟⠁⠀⠙⢒⣫⣥⣴⣶⣿⣏⠀⠉⠛⠿⢿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡤⠚⠙⣷⣿⣦⡀⠀⢨⡏⠀⠀⠀⠀⠀⠀⠀⣩⠀⠀⠀⠉⠉⠉⢉⡛⢻⣿⣿⣿⣷⣶⣶⣶⣶⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠏⢀⠀⠀⣖⠈⠁⠉⠙⢻⣷⣄⣀⣤⣤⡴⠿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡏⢰⡟⠀⠀⣿⡄⠀⠀⠀⣿⠀⠀⠀⠀⠀⢀⣴⠟⠁⢿⣄⣀⡀⠀⣀⣤⣶⣿⣿⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⠀⢸⡁⠀⠀⠸⣿⣄⠀⡀⣿⠀⠀⡠⣶⡷⠋⡀⠀⠀⠚⠛⠛⠛⠛⠛⠛⠃⠈⠑⡿⢸⣯⡝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠇⠀⠘⣿⣦⣤⣤⣿⡟⠛⠓⢿⣞⠻⠟⣔⠲⡇⣀⡀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⢠⣾⣺⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⣿⣿⠉⠛⠿⢦⣄⡠⠘⡆⣀⣤⠀⠀⠀⢐⣮⠗⠃⠋⠛⠛⠛⠛⠛⢻⣿⡿⡍⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠭⠌⣧⢾⣧⣤⣾⣦⠥⢠⣀⣀⢄⣠⣦⣶⣾⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⣀⣴⣿⣿⣿⣿⣦⡂⠀⠀⠀⣾⣙⡇⠀⠀⠀⠀⠀⠀⠁⠀⣡⣿⣿⣿⣿⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⡿⢋⣡⣾⣿⣿⣟⣻⠿⣿⠷⣤⣿⣿⣇⠀⠀⠀⠀⠀⠠⣀⣿⣿⣿⠛⠛⠻⠏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡟⣻⣿⣿⣿⣿⣿⣼⡏⠀⠈⠑⢤⣹⡿⣿⣯⠻⢿⣿⣿⣿⣽⠿⢟⣃⣀⣀⡨⣏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⣾⠁⠀⠈⢹⣿⣿⠟⠀⠀⠀⠀⠀⠈⠛⢾⣿⡆⣶⣿⣿⠗⠒⢉⣉⣉⣙⣛⢿⣧⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣿⠀⠀⢷⡀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣿⣿⣷⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠿⣄⠀⣸⣿⣄⣻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⣉⣉⣉⣉⣉⣿⣏⣉⣉⣉⣉⣉⣉⣙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢷⣌⠧⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⣟⣏⣿⣷⡇⢸⣿⣿⣿⣿⣿⠆⣿⠀⠿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⢆⣾⣿⠀⠀⠀⢸⡿⢷⣯⣿⣷⣦⣤⣶⣶⡆⠀⠀⠙⠛⠿⢶⣦⣤⣀⢀⣾⠟⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣷⣶⣾⣿⡿⠛⠿⢶⣦⣤⣀⣀⠀⠙⠛⣬⠻⣷⣄⠀⠀⠀⠀⠀⣠⣤⣴⠀⠀⠀⠀⠀⠀⣤⡾⠻⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⠃⠀⠀⠀⣴⣿⣟⣥⣤⣤⣄⠀⠀⠀⣠⣾⡟⠁⢸⣿⡷⠶⠾⣇⣛⣛⣛⣛⣯⣥⡌⢩⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠉⢹⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⡿⠋⠀⣀⣀⣀⡀⣈⠉⠛⠰⣶⣆⣀⡀⢾⡙⢷⣶⡶⠶⠛⠋⠉⠀⣠⣄⣀⣰⣾⠿⠀⢀⣀⡀⣀⣠⡄⠤⣄⣀⣀ ⠀⠀⠀⠀⢠⣾⡿⠃⠀⠀⠀⣼⣿⣿⡿⠉⠀⠉⢻⣷⣴⡾⠟⣛⣡⣤⣴⡶⠶⠿⠛⠛⠉⣩⣽⣿⡿⠋⣱⣿⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡟⠁⠀⠸⢿⣯⣭⣁⡉⠀⠀⠀⠈⠉⠛⠿⣿⣧⣶⠉⠿⣤⠀⠀⠀⠀⣿⣿⡿⣿⣿⣶⣾⣿⡏⠷⠿⠿⠛⠛⢻⣿⠉ ⠀⠀⠀⢠⣿⣿⠟⠿⣿⣿⣾⣿⣿⡏⠁⠀⠀⠀⠀⢉⣵⡶⠟⣿⣿⡟⠁⠀⠀⠀⠀⣠⣾⣿⠟⠁⠀⣼⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠏⠀⠀⠀⠀⠀⠀⠉⠙⠛⢻⣶⣦⣤⣀⠀⠀⠀⠈⠛⠀⢻⣼⢻⣆⠀⠀⢻⡿⠇⠀⠛⢿⣭⠀⠀⠀⣤⣶⠛⠃⣤⣴⣷ ⠀⠀⠀⢿⣿⣧⣿⣦⡀⠀⠉⠛⠻⠇⠀⠀⠀⠀⠀⢸⣿⣇⣾⣿⠟⠀⠀⠀⢀⣴⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⣶⡆⠀⠀⠀⠀⠀⠀⢰⣿⠛⢿⣿⣿⣶⣤⣄⣀⣀⣀⣠⣤⣾⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠿⠛⠉⠛⠿⣦⣀⠀⠀⠀⠀⠘⢷⡎⢷⡄⠘⣿⡇⢶⣆⠀⠙⢷⣶⣿⣿⠉⠿⠀⠉⢀⣶ ⠀⠀⠀⠀⢹⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠋⠀⠀⠀⣴⣿⡿⣋⣀⣀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀⠈⠉⠛⠛⠻⠿⠿⠿⠛⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠛⠀⠀⠀⠀⠀⠀⠈⠙⠷⣦⡀⠀⠀⠈⠁⠈⠻⣦⣿⡇⠀⢿⣦⠀⠋⠛⣯⡉⠀⠀⠀⢰⡿⠁ ⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢱⣿⣿⡿⢿⣿⣫⣾⠿⢿⣿⣧⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢷⣤⡀⠀⢸⣄⢻⣿⡇⠀⠀⠻⣧⠀⠰⠞⢷⠀⠀⠀⣿⣥⡄ ⠀⠀⠀⠀⠀⠀⣼⡟⢛⡿⣟⣾⣷⣶⣄⡀⠀⠀⠀⠀⣿⣿⢸⣿⣿⣧⠀⠙⠿⠁⠀⢸⣿⣿⠀⠀⠀⠀⠀⠿⢹⡇⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢷⣄⣻⢸⣿⡇⠀⠀⠀⢿⣆⠀⠀⠈⣿⡀⠀⠈⠉⠛ ⠀⠀⠀⠀⠀⣸⡟⢠⣾⣷⡿⣹⣿⣿⣿⣿⣷⣦⣀⢠⣿⣩⣿⣿⣿⣿⣷⡀⠀⠀⢀⣼⡏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⠁⠀⠀⠀⠈⣿⡄⠀⠀⠸⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡿⢠⣿⣿⢟⣼⣿⠟⠀⠀⢩⣿⣿⢿⣼⣿⣿⠟⠁⠙⣿⣿⣿⣦⢀⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⣄⢿⡆⠀⠀⠀ ⠀⠀⠀⠀⠘⣡⣿⣿⢣⣾⣿⠋⠀⠀⢠⣿⣿⢋⣼⣿⠟⠁⠀⠀⠀⠈⠛⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢷⣦⢠⣶⠶⠞⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⣿⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⣹⣿⣳⣿⡟⠁⠀⠀⣰⣿⣿⣷⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⣿⢸⡇⢠⡄⠀ ⠀⠀⠀⠀⢰⣿⣽⣿⡏⣀⣀⣠⣴⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠘⣷⡿⠁⠀ ⠀⠀⠀⢰⣿⣿⠿⠟⠛⠋⣩⡍⣩⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢀⣾⠟⠀⠀⠀ ⠀⠀⠀⠈⠉⠶⠓⠀⠀⣴⡟⣤⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠻⠿⢿⣿⣿⣿⣿⡶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⡆⣾⣿⣵⡾⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢷⣮⣝⠿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⠟⣿⣄⠙⠛⠁⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣷⡆⠀⠀⠀⠀⣴ ⠀⠀⠀⠀⢠⡄⣸⡿⣼⡿⠻⣷⣤⣀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡿⠁⠈⢿⣿⣦⣀⠀⣼⡟ ⠀⠀⠀⠀⠈⢠⣿⣹⣿⠇⠀⠀⠙⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣷⣦⣀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣿⠟⠀⠀⠀⠀⠙⠻⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⣾⣇⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣷⣄⡀⠀⠀⠀⠀⠘⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡆⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀ ⠀⠀⠀⠀⢀⣿⣸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⣦⡀⠀⠀⠀⠸⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⣿⣿⠀⣰⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣀⢸⡟⠀⠀ ⠀⠀⠀⠀⠈⠉⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⣧⡀⣤⣼⣿⡇⠀⠀⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡟⠀⠀⠀⢸⡿⣿⣾⠟⣿⣷⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣿⣷⣹⣿⡿⢿⣿⣿⣷⣦⣄⠀⠀⠀⠈⢿⣦⣀⣀⣀⣀⣀⣀⢀⡀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⠏⠀⠀⠀⢠⣿⠃⠛⠁⠀⢻⣿⣆⠀⠀⠀⠀⢀⣼⢿⣿⣃⣀⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⡾⠿⠛⣉⣉⣥⣼⣿⣧⢿⣿⣀⣹⣿⡿⠿⢿⣦⡄⠀⠀⠀⠹⣿⡟⠉⠉⠉⠉⠈⠁⠀⠀⠀⢀⣀⠈⠁⣀⣤⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⡿⠋⠀⠀⣠⣶⣿⡏⠀⠀⠀⠀⠈⢿⣿⣆⠀⠀⢠⣾⠏⠀⠉⠉⠉⢉⣭ ⠀⠀⠀⠀⠀⢀⡀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡏⠀⠀⠀⠀⠀⣠⣴⡿⠛⣉⣤⣶⡾⠟⠛⢹⣿⠉⠸⣿⣯⣿⣿⡵⢿⣿⣿⣷⡻⣷⡆⠀⠀⠀⠙⣿⡄⠀⠀⠀⠀⠀⠀⣠⣶⡿⠋⢀⣼⡿⠁⠀⢀⣀⡀⢀⣤⣶⡿⢿⣿⣿⠟⠀⢠⣴⣾⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⢻⣿⣷⣶⡿⠃⠀⠀⢀⣤⣾⣿⣿ ⠀⠀⠀⠀⢸⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⢠⣿⣿⠁⠀⠀⣠⣴⡿⣛⣥⣶⠿⠛⠉⠀⠀⠀⠀⠘⣿⠀⠀⠙⠻⣿⡿⣷⡌⣿⠿⠿⢇⣼⣿⣆⠀⠀⠀⠘⣿⡄⠀⢀⣠⣴⣿⣿⣥⣤⣴⣾⡏⠶⠿⣛⣻⣿⣿⡿⠛⢁⣴⣿⠟⠁⠀⣚⣿⣿⡿⠛⠉⣿⠃⠀⠀⠀⠀⠀⠀⠀⣨⣿⠟⢀⣠⣤⣾⣿⡿⠛⠉⠀ ⠀⠀⠀⠀⢸⣷⣿⢸⣧⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⣠⣾⢟⣵⣾⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠘⠻⠟⢀⣠⣼⡿⢿⣿⣷⣄⠀⠀⠹⣿⡀⠿⠿⠿⠶⠶⠶⣶⣶⣶⡾⠿⠿⢟⣿⣿⠀⣀⣴⣿⣟⣡⣴⡾⠿⠛⠋⠁⣀⣀⣀⣿⠀⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⣸⣿⡿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⡟⣿⡄⠀⠀⠀⠀⠀⢸⣿⣿⣼⣟⣱⣾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀⢀⣤⣶⠿⠋⠁⠀⠈⠻⣿⣿⣤⡀⠀⠹⣷⠀⠀⠀⠀⠀⣴⡿⠟⠋⠁⣀⣶⡿⠿⠋⠸⠿⠿⠟⠋⠉⢁⣠⣤⣶⣾⣿⣿⣯⣽⣏⡀⠀⠀⠀⢀⣴⡿⠋⠀⢀⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⣤⣸⣿⣷⣸⣧⠀⠀⠀⠀⠀⠸⣿⠿⣯⡾⠋⠀⢀⣤⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⠀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣧⡀⠀⣿⡇⠀⠀⢀⣾⠟⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⢠⣾⠿⠛⢋⣡⣴⡶⠟⠛⣿⢻⣷⣤⣀⣴⣿⣯⣤⣄⣰⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠙⠛⢹⣧⢻⣇⠀⠀⠀⠀⠀⢿⣾⠟⠀⣠⣴⣿⠋⣰⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⡀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⡀⢹⣷⠀⣠⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡾⠟⠋⠁⠀⠀⢀⣿⣾⣿⣿⢿⣿⡿⠀⠈⠉⠛⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⡞⣿⡄⠀⠀⠀⠀⠀⠀⣠⣾⣿⣻⣿⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⣤⣤⣿⣄⡀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠆⠻⣿⣷⡼⣿⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⠟⠉⣠⣾⠏⣴⡆⠀⣼⣿⣿⠛⢡⣿⠉⠀⢠⣤⢀⣀⣀⠀⢻⣿⣷⣤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣷⡀⠀⠀⠀⢀⣾⣿⢟⣽⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⢿⣿⣿⡆⠀⠀⠀⠀⠀⠘⣿⣿⠀⠀⠘⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⠉⠀⣠⣾⠟⠁⣸⡟⠀⣼⣿⡿⣋⣀⣘⣿⣤⣤⣤⣤⣬⣽⣿⣟⣿⠏⠛⠿⣦⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣷⡀⠀⢠⣿⣿⢃⣾⣿⡿⢁⣀⣤⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠈⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⢠⣼⣟⣁⣀⣸⣿⣁⣤⣿⠟⠁⢻⣿⡿⠿⠾⣡⣴⡶⠿⠋⠉⠛⠛⠿⠷⢶⣾⣽⣿⣦⣀ ⠀⠀⠀⠀⠀⠀⠀⣤⣶⣿⣿⣿⠻⠇⠀⣾⣿⠇⣾⣿⣿⡷⠟⣋⣽⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣟⣥⣶⡶⠿⠛⠿⠛⠛⠉⠉⠉⠉⠉⠁⠀⢀⣠⣴⣶⣶⣾⣿⣍⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣻⣿ ⠀⠀⠀⠀⠀⠀⢛⣿⡿⠋⠁⠻⣷⡀⢠⣿⣿⠘⣿⣿⣥⣾⠿⣻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀⠀⠀⢹⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠿⠛⠋⠁⣰⣿⠿⣮⣽⣻⣦⣤⠀⣀⣠⣤⣤⠀⠀⢸⣿⢣⡀ ⠀⠀⠀⠀⢀⣴⡟⠋⠀⠀⠀⠀⠙⣷⡜⢣⣿⣸⣿⣇⣾⢧⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠈⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣶⡾⠿⠻⠿⢿⡿⠿⠿⣷⣶⣦⣄⠀⠘⢿⣦⡀⠀⣠⣿⡏⠀⠶⠿⢿⡿⠙⣛⣿⣿⡿⠋⠀⠀⢸⣿⡄⠀ ⠀⠀⢀⣴⠾⠉⠀⠀⠀⠀⠀⣠⣶⣿⣿⣾⡟⠋⣹⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⢻⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣩⣭⣴⣶⠶⠶⠶⠂⠀⠀⠀⠀⠀⠘⣿⢸⣿⣼⢷⣦⣻⣧⣾⣟⠁⢀⣀⣀⣴⣾⣷⣿⣿⢿⣏⡶⣄⠀⠀⢸⣿⡇⠀ ⠀⠰⠎⠉⠀⠀⠀⠀⢀⣤⣿⣿⣿⡿⠛⠉⠀⣰⡿⣽⡟⠁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠈⢿⣿⢿⣷⣄⠀⠀⢀⣠⣴⣾⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢿⣿⢀⠙⠿⣿⣎⠛⠛⠛⠛⢉⣡⣾⠿⠿⣿⣦⣍⠱⣯⢿⣦⣸⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣶⣻⣝⣿⠟⠉⠀⠀⠀⣰⡿⣼⡟⢀⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀⠀⠀⠀⠀⠈⢻⣿⣽⣛⢿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⡿⠋⣾⠀⠀⣘⣿⣠⣤⣴⡾⠟⠋⠁⠀⠀⠈⠛⢿⣷⣄⠻⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠶⠉⣎⠹⠏⠁⠀⠀⠀⠀⢰⡿⣼⡟⢀⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⣿⣧⡀⠀⢀⣀⣀⣠⣤⣼⣿⣿⣿⣯⣥⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⠿⢿⣛⡋⠁⠀⠀⢻⡄⠀⣿⣟⡻⢿⣥⣀⢶⡆⣠⣤⣶⣦⣶⣤⣼⣿⣷⣍⢻⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠿⠋⠀⠀⠀⠀⠀⠀⢠⣿⣱⡿⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠉⢹⡿⣿⣿⣿⣭⣭⣴⣾⣿⣿⣿⠿⠿⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠻⠿⣿⣿⣿⣶⣤⡸⣷⡀⠀⠙⢻⣦⡈⠛⢿⣝⠛⢿⣦⡀⠀⠀⠀⠈⠉⠛⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢧⣿⠁⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣰⣶⣿⣿⡿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣿⣿⣧⣈⠛⠀⣤⠀⠉⠻⣷⣄⠙⣷⣄⠛⠻⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⣼⠇⠰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣠⣾⣿⣿⣿⣿⠛⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢶⣍⠻⣷⣼⣿⣦⣤⣀⣈⣿⣷⡈⢿⣆⠀⠈⢿⣷⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡾⢻⣿⣿⣿⣿⣿⣼⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣬⠛⢿⣿⣿⣝⠛⠿⣿⣿⣮⣿⣆⠀⠈⠉⢿⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⣤⠸⣷⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢺⣷⣤⣴⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣄⠻⣿⣿⣦⡀⠀⠙⠿⣿⣿⣄⣤⣤⡀⠙⢿⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⢰⣿⠃⣀⡀⢴⡶⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢷⡈⢿⣿⣷⣄⣤⣾⣿⣿⣷⣦⣹⣷⠀⠈⠻⣆⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⢀⣿⢠⡽⣷⣼⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⡿⠛⠛⠻⢿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⠀⢻⣿⣿⣿⢟⣿⠟⠉⣿⠁⣿⠀⠀⠀⠈⢷⣄ ⠀⠀⠀⠀⠀⠀⣿⡈⣿⣿⣧⢨⡏⢸⡇⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠈⠙⠿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣄⣻⡿⣳⡟⠀⠀⠀⣿⣶⡿⠀⠀⠀⠀⠈⠿ ⠀⠀⠀⠀⠀⠀⠙⣧⢸⣷⣿⣎⠁⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣶⠀⢠⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣭⣽⠏⠀⠀⠀⢠⣾⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡆⢻⣿⣿⡆⢘⣿⣿⣶⡀⠀⠶⢀⣤⣶⣿⠿⠛⠁⠀⣀⡀⠀⠀⠀⠀⠀⢠⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠏⠀⠀⠀⠠⡿⠛⠛⠷⣶⣤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⠇⠈⣛⢡⡿⢛⣠⣾⣿⣿⣯⠁⠀⣠⣴⡾⠟⠃⠀⠀⠀⠀⠀⣿⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⢹⣿⣤⣴⠆⣶⣦⠀⠀⢸⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⢰⣶⡟⠉⢠⣴⣿⣿⠿⠋⠀⣿⣶⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⢰⣿⢸⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠈⠿⠏⢁⣼⣿⡿⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⡾⢿⡆⠀⣿⣧⣶⣿⡿⣟⣁⠀⣠⣾⠿⣋⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠸⠿⢸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣠⣴⣿⣿⠏⠁⠀⠀⣼⣿⠇⠀⠀⠀⢀⣀⣀⣤⣤⣶⣶⡾⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠛⠉⠀⠸⣷⠀⢸⣿⡞⠋⣿⡛⠛⢿⣟⣡⣤⣿⣧⠀⠀⠀⠀⠀⠀⣤⢠⡄⠀⠀⢸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠋⠀⠀⠀⠀⢰⣿⡿⠿⠂⣿⡆⢸⣿⢻⡟⠋⠉⢡⣶⣶⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣷⣄⣿⡅⠀⣹⣷⡀⠈⠿⠟⣻⣿⣿⠀⠀⠀⠀⠀⠀⣿⣼⣧⠀⠀⠘⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡅⢸⣿⢸⣷⣤⣤⣼⡇⢸⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠃⠉⠹⠿⢇⣼⡿⠿⣿⣤⡀⣴⣿⡿⢿⡇⠀⠀⠀⠀⠀⢸⣇⣿⠀⠀⠀⠸⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⠶⣦⣄⡀⠀⠀⠀⢸⡇⢸⣿⢸⡿⢷⣮⣍⠁⠸⢷⣤⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡿⠃⠀⠀⠀⠀⣰⣿⠋⠀⠀⠙⠿⢿⣿⠿⣿⣾⣇⠀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⠀⠹⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⠿⠛⠛⠻⣷⣤⣘⠃⢸⡇⠘⠃⠀⠘⠛⢻⣿⣶⣿⢇⡀ ⠀⠀⠀⠀⠀⣶⡟⠁⠀⠀⠀⢀⣾⠟⢻⣧⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣦⣀⠀⠀⠀⢿⣿⣷⠀⠀⠀⠀⠙⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠉⠻⢷⣾⣇⡀⠀⢀⣸⣿⣾⡟⣫⣾⣿⡷ ⠀⠀⠀⢠⡾⣿⡀⠀⠀⠀⣠⣿⠋⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⣹⣯⣙⣿⣷⣄⠀⢸⣯⣿⠀⠀⠀⠀⠀⠙⣿⣯⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡏⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⠟⠋⠛⠻⢷⣿⣿⣋⣵⣾⣿⠟⠉⠀ ⠀⠀⠀⠀⠀⠹⣷⠀⠀⢠⣿⠋⠀⠀⠀⠘⣿⣷⡀⠀⠀⠀⠀⢠⣿⠻⣿⠙⣿⡝⣿⣷⠘⣿⢿⡇⠀⠀⠀⠀⠀⠸⠿⢿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠈⢙⣿⡿⠋⠁⠀⠀⠀ ⠀⠀⠀⠸⣧⣀⣙⣷⡀⠘⠃⠀⠀⠀⠀⠀⠈⢿⣿⣷⣀⠀⠀⣿⠃⠀⣿⡆⢸⣿⣈⡻⣷⣿⡼⣿⠀⠀⠀⠀⠀⠀⠀⠛⠻⣿⣿⣿⣟⣿⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⣸⣿⣄⡀⠀⠀⠀⠀⠀⢠⣾⣟⣫⣴⣶⡆⠀⠀⣤ ⠀⠀⠀⠀⠈⠉⣿⡙⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣶⡀⣿⠀⠀⢸⣷⣿⠟⠛⠻⢿⣿⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣷⣎⠙⠿⢶⣦⣄⣀⡀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⢀⣀⠀⠀⠀⢰⣿⣾⣿⣆⣀⡀⠀⠀⢠⣿⣤⣿⡿⢷⣤⡀⠀⢠⣿⣿⣿⣿⣷⡿⠃⠀⣴⠉ ⠀⠀⢀⣀⣀⣀⠹⣧⠈⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⡷⣿⣿⣶⣿⣿⠁⠀⠀⠀⣸⣿⣿⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢷⣦⣤⣎⣭⣝⠛⠻⠾⢿⣿⣿⠀⠀⠀⠀⣠⣶⣿⣿⣯⣽⣿⡆⣾⣿⣷⣦⠀⠸⣿⣿⣿⣿⣿⣿⣷⣦⣾⣿⠿⠋⣠⣴⣿⣿⣿⣾⣿⣿⣿⡿⠋⠀⠀⠀⠉⠀ ⠀⣴⣿⣿⢛⣿⣿⣾⢷⣤⡽⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣧⣤⣴⡾⠟⢿⣿⣿⣝⢿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣟⢿⣿⣶⣦⣤⣼⣿⣿⡀⠀⠀⣼⣿⣷⣾⣿⣿⣿⣿⡇⣿⣿⣿⣿⣷⣄⢻⣿⡻⣿⣍⣿⣿⣿⣟⣿⣤⡿⣿⣿⣯⣾⣿⣿⣿⡿⠋⠀⠀⠀⠀⠘⠃⠀ ⠀⠛⢻⣿⠟⠛⣿⣿⠀⠸⣿⡘⢿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣯⣹⣿⠀⠀⠀⠀⠀⠉⠈⠻⣷⣝⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣯⣉⠙⢛⣿⠟⠁⠀⢸⣿⠀⠛⠛⢛⣿⣿⠟⣿⣿⡇⢻⣿⡿⣿⣿⣿⣧⣾⣿⣿⠋⣨⣽⠟⣿⣤⣾⣛⣵⣿⠿⣿⡏⠀⣀⣀⣤⣴⣶⣾⡇⠀ ⠀⣤⡈⣿⣆⣶⣿⣿⣤⣼⡟⢿⡆⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣍⠻⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣷⣿⠃⠀⠀⠀⠈⠿⣷⣶⣿⠿⠟⠁⣼⣿⣿⠁⠀⢻⣿⣸⣿⣿⣿⠟⠁⣿⣿⣿⣵⡿⠟⠉⣽⣿⣿⣿⣤⣘⣿⣿⡛⠿⠿⠿⢿⡽⣿⠀ ⠘⠛⠿⠿⠿⣿⣦⡀⠙⠛⠀⢈⣿⠶⣬⡻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣌⡙⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⣰⡿⣿⣿⠀⣀⣼⣿⣿⠟⢻⣿⣆⠀⠙⠻⣿⣅⠀⠀⠀⠙⠿⠟⠛⠛⠉⠉⠙⠻⠷⠶⢶⣤⡄⠹⣷ ⠀⠀⠀⠀⠀⠉⠻⣿⣦⣀⣀⣿⡿⠀⢹⣧⠈⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠙⣿⡍⠻⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⢘⣻⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣻⡛⣿⣶⣦⣤⣤⣶⡶⠾⠟⠋⢡⣿⣧⣾⣿⡿⢻⣿⠀⠈⢿⣿⡄⠀⢰⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⢙⣛⠛⠀⠀⠀⠙⠿⣶⣬⡿⢿⣿⣦⡄⠀⠀⠀⠀⠈⠁⠀⠀⠙⠳⣶⣄⠀⠀⠀⠀⠛⠸⣇⠘⠿⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠉⠈⠻⢦⣤⠀⠀⠀⠀⠀⣼⣿⠿⠿⠋⠀⢸⣿⡄⠀⠘⣿⣿⣤⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⠁⠀⠉⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⢀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣼⣰⢷⡤⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠉⣿⠈⢻⡀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⢹⡀⠀⢷⡀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠘⣧⠀⢸⡇⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⠶⠾⠿⢷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡆⠀⠘⣦⠀⣇⠀⠘⣿⣤⣶⡶⠶⠛⠛⠛⠛⠶⠶⣤⣾⠋⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠘⣦⣿⠀⠀⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡟⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⠀⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢠⣿⠏⠁⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⢰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠶⠛⠉⢀⣄⠀⠀⠀⢀⣿⠃⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣠⡶⠟⠋⠁⠀⠀⠀⣼⡇⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⣀⣀⣠⠿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⣀⣤⣤⣿⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⢻⡇⠀⠀⠀⠀⢠⣄⠀⢶⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠿⠟⠛⠋⠹⢿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠘⢷⡄⠙⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠟⠋⠁⠀⠀⠀⠀⠘⢸⡀⠀⠿⠀⠀⠀⣠⣤⣤⣄⣄⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣀⡀⠀⠀⠀⢸⡟⠻⣿⣦⡀⠀⠀⠀⠙⢾⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⣴⡏⠁⠀⠀⠹⣷⠀⠀⠀⠀⣠⡿⠋⠀⠀⠈⣷⠀⠀⠀⣾⠃⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠘⢷⣄⡀⣀⣠⣿⠀⠀⠀⠀⠻⣧⣄⣀⣠⣴⠿⠁⠀⢠⡟⠀⠀⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡽⣦⡀⣀⠀⠀⠉⠉⠉⠉⠀⢀⣀⣀⡀⠀⠉⠉⠉⠁⠀⠀⠀⣠⡿⠀⠀⠀⠀⠀⠀⠀⠈⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠃⠈⢿⣿⣧⣄⠀⠀⠰⣦⣀⣭⡿⣟⣍⣀⣿⠆⠀⠀⡀⣠⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⢀⣤⣽⣷⣤⣤⠀⠀⠀⠀⠀ ⠀⢀⣿⡆⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⢀⣴⠖⠋⠁⠈⠻⣿⣿⣿⣶⣶⣤⡉⠉⠀⠈⠉⢉⣀⣤⣶⣶⣿⣿⣿⠃⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠉⠻⣷⣄⠀⠀⠀ ⠀⣼⡏⣿⠀⢀⣤⠽⠖⠒⠒⠲⣤⣤⡾⠋⠀⠀⠀⠀⠀⠈⠈⠙⢿⣿⣿⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⣀⣤⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣧⠀⠀ ⢰⣿⠁⢹⠀⠈⠀⠀⠀⠀⠀⠀⠀⣿⠷⠦⠄⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⢀⣠⠶⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀ ⣸⡇⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠉⠉⠛⠋⠉⠙⢧⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆ ⣿⡇⠀⠀⠈⠆⠀⠀⣠⠟⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⠀⠀⠀⠀⠀⠀⠀⠈⠱⣄⣸⡇⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡇ ⢻⣧⠀⠀⠀⠀⠀⣸⣥⣄⡀⠀⠀⣾⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠂⠀⠀⠀⠀⠀⠀⣿⡇ ⢸⣿⣦⠀⠀⠀⠚⠉⠀⠈⠉⠻⣾⣿⡏⢻⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣟⢘⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠐⡟⠀⠀⠀⠀⠀⠀⢀⣿⠁ ⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣇⠈⠻⠷⠦⠤⣄⣀⣀⣀⣀⣠⣿⣿⣄⠀⠀⠀⠀⠀⣠⡾⠋⠄⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⣸⠟⠀ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣔⠢⠤⠤⠀⠀⠈⠉⠉⠉⢤⠀⠙⠓⠦⠤⣤⣼⠋⠀⠀⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⢀⣼⡟⠀⠀ ⠀⢻⣷⣖⠦⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠈⢳⡀⠈⠛⢦⣀⡀⠀⠀⠘⢷⠀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⣠⠏⠀⠀⠀⠀⣀⣴⡿⠋⠀⠀⠀ ⠀⠀⠙⠻⣦⡀⠈⠛⠆⠀⠀⠀⣠⣤⡤⠀⠿⣤⣀⡙⠢⠀⠀⠈⠙⠃⣠⣤⠾⠓⠛⠛⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡴⠞⠁⢀⣠⣤⠖⢛⣿⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⢷⣤⡁⠀⣴⠞⠁⠀⠀⠀⠀⠈⠙⠿⣷⣄⣀⣠⠶⠞⠋⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠞⠋⠁⠀⢀⣾⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣧⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⣤⣀⣀⠀⠀⠈⠂⢀⣤⠾⠋⠀⠀⠀⠀⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⢀⣠⠎⣠⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⣦⠀⠀⠀⠀⠀⠀⠀⣿⣇⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢐⣯⣶⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣄⠸⣆⠀⠀⠲⣆⠀⠀⢸⣿⣶⣮⣉⡙⠓⠒⠒⠒⠒⠒⠈⠉⠁⠀⠀⠀⠀⠀⢀⣶⣶⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠷⠾⠷⣦⣾⠟⠻⠟⠛⠁⠀⠈⠛⠛⢿⣶⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⣨⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠛⠛⠛⠻⠿⠿⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Related Text & Emojis

⣿⣿⣿⣿⠏⠌⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠀⠀⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠃⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⠃⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠃⠀⠀⣾⣿⣿⣿⣿⣿⣦⠀⠈⠻⣿⣿⣿⣿ ⣿⠀⠀⠀⣿⣿⣿⠟⠉⠉⠉⢃⣤⠀⠈⢿⣿⣿ ⣿⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⢹⣿⣧⠀⠀⠙⣿ ⣿⡆⠀⠀⠈⠻⡅⠀⠀⠀⠀⣸⣿⠿⠇⠀⠀⢸ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠔⠛⠁⠀⠀⠀⣠⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿ ⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿ ⣿⣿⡇⠀We Go Jim ⣠⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿ ⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿ ⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀ (\__/)⠀⠀⠀⠀⠀ ⠀⠀⠀⠀ (•ㅅ•)⠀⠀my gf telling the waitress ⠀_ ノヽ⠀ノ\_⠀⠀my food is wrong /⠀️⠀Y⠀⌒Y⌒⠀Y⠀️ヽ (⠀️⠀️⠀️(三ヽ人⠀⠀/⠀ ⠀| |⠀️⠀️⠀️ノ⠀¯¯\⠀ ̄ ̄ヽ ノ ヽ___⠀⠀>、__/ ⠀⠀⠀|(⠀王⠀)〈⠀⠀ (\__/) ⠀⠀⠀/⠀ミ`——彡⠀\ (•ㅅ•) me
⣿⣿⣿⣿⠏⠌⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠀⠀⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠃⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⠃⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠃⠀⠀⣾⣿⣿⣿⣿⣿⣦⠀⠈⠻⣿⣿⣿⣿ ⣿⠀⠀⠀⣿⣿⣿⠟⠉⠉⠉⢃⣤⠀⠈⢿⣿⣿ ⣿⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⢹⣿⣧⠀⠀⠙⣿ ⣿⡆⠀⠀⠈⠻⡅⠀⠀⠀⠀⣸⣿⠿⠇⠀⠀⢸ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠔⠛⠁⠀⠀⠀⣠⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿ ⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿ ⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿ ⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⢄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣄⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⣆⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣿⣼⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⡿⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢠⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⣆⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠋⠻⠶⢻⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡞⢻⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⡛⠛⢿⣶⣶⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⣼⠤⡘⠣⠤⢊⣿⣿⡄⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡃⠀⠐⠀⠀⢸⡇⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⣼⣿⣿⣟⠀⠀⠀⠀⠀⠘⣦⡀⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣧⡀⠀⠰⣤⣼⡇⢀⠀⠀⠀⣶⣾⣶⣷⣶⣤⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⢹⣷⣌⢷⣤⡀⠀ ⠀⠀⠀⠀⠀⠀⢹⣿⣷⡄⠙⠟⠀⠀⠀⠀⠀⣿⣿⡿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⢨⣿⣿⡷⣄⣽⡖ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⢣⡀⠀⠀⠀⠀⠀⣰⠀⠉⠐⢿⡏⣽⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠠⢩⣁⣴⣿⡿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⠃⠁⠀⠀⠀⠀⠀⠙⠀⠀⡀⢀⣼⣿⣿⢯⠄⠀⣠⣀⣴⣿⣦⣖⣶⣿⣿⣿⡟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⢀⠀⠀⠈⠉⠉⠡⠀⢀⢰⣽⠟⣻⣿⣵⣿⣿⣿⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡂⠀⠀⠃⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⢀⣾⣾⣿⣾⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⡟⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠘⠏⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣟⣶⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣆⠁⡀⠀⢶⣄⣼⠷⡀⠀⠀⠿⣿⡿⣿⣿⣟⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣏⡏⠉⠂⠀⠉⠀⠀⠐⠂⢀⣠⣾⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣹⣶⠞⠂⠀⡞⡆⠰⠶⣬⣿⣯⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣶⣦⣼⣧⣦⣤⣠⣼⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣯⣿⣿⣿⣉⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣽⣽⣿⣿⣿⣿⣿⣿⣿⣇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣦⣉⡘⠿⣿⣿⣿⣿⣿⣿⣿⡟⠁⣾⠿⣡⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⡿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀ (\ __ /) (UwU) _ノ ヽ ノ\_ / `/ ⌒Y⌒ Y  \ (  (三ヽ人  /   | | ノ⌒\  ̄ ̄ヽ  ノ ヽ___>、__/ |( 王 ノ〈 /ミ`ー―彡\ |╰ ╯ | | /\ | | / \ | | / \ |
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠶⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢁⠞⣧⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⡎⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠴⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⣷⡿⠧⠤⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡶⠛⠉⠲⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⠀⠀⠀⠀⠀⠀⠈⠙⠳⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣧⡼⣆⡀⠀⢀⡾⠀⣀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⡍⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠛⠶⣇⣠⡞⠁⠀⠈⠑⢦⡀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠛⠁⠀⠀⠀⠀⠀⠑⡄⠀⢸⡇⠀⠀⠀⠀⣀⡤⢤⡀⠀⠀⠀⠀⠀⠀⠀⣿⣄⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠸⣇⠀⠀⠀⠀⡇⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⡿⠉⠛⠋⢀⣠⠴⠖⠚⠛⠛⢶⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣠⡤⢿⡄⠀⠀⠀⠙⠒⠚⠁⠀⠀⠰⠖⠲⠆⣸⠃⠀⠀⠀⢸⢁⡄⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠖⣛⣉⣉⠙⠓⠠⢌⡉⠓⠒⠿⣦⣄⣄⠀⠀⠰⣦⢽⣳⠀⠀⣀⣾⣃⡀⠀⠀⠀⠘⠿⣄⠀⣲⡄⠀⠀⠀⢹⡀⠀⠀ ⠀⠀⠀⠀⠀⢹⡀⠀⠓⠐⠚⢃⣀⡤⠤⠭⣳⣄⠀⠈⠻⣟⣿⠶⣆⠻⣯⣴⠶⢾⠟⠉⠉⠉⠙⢷⣄⣀⣤⣽⣏⣽⠃⠀⠀⠀⠀⢷⠀⠀ ⠀⠀⠀⠀⣰⡟⠛⡶⠀⣀⣀⡀⠘⠶⣀⣀⢈⡏⢣⠀⠀⢨⠈⠑⠺⢯⡹⣯⠖⠉⢳⢦⡀⠀⠀⡠⠟⠉⠀⠀⠈⠻⡀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⣼⠋⠀⡜⠀⡴⠁⢀⠇⣠⠖⠢⣄⠉⠀⠈⣇⠀⠈⣆⠀⠀⠀⠳⢇⠀⠀⠀⠀⠹⣄⣼⠁⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⢳⠀ ⠀⠀⢸⡇⠀⠀⡇⠀⠳⣤⠞⡰⠁⠀⠀⠘⡏⠉⠺⣿⠀⢀⠏⠙⠢⠀⠀⠈⢦⠀⠀⠀⠀⠘⣇⠳⡀⠀⠀⠀⠀⢠⣇⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⢸⡇⠀⠀⢷⡀⠀⠀⢰⣧⠀⠀⠀⣰⠃⠀⠀⣟⡧⠋⠀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠸⡤⠽⠦⠤⠤⠒⠻⠌⠓⠤⠤⠀⠀⣸⠆ ⠀⠀⠘⣷⡀⠀⠀⠉⠓⠚⠉⠈⠓⠲⠖⠓⠲⣤⣴⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⢠⡇⠀⠀⠀⠀⢀⣀⣤⡶⠖⠒⠒⠊⠁⠀ ⠀⠀⠀⠈⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠉⠙⠷⣧⣀⠀⠀⠀⠀⠀⣠⠞⠻⠦⠠⠴⣿⠉⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣦⣄⠀⠀⣀⣀⣀⣤⠾⢿⡟⢦⣄⠀⠀⠈⠉⠓⣛⠟⠉⠁⠀⡇⠀⠀⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠋⠉⠻⣧⡀⠀⠙⢦⡉⠆⢀⡔⠊⠉⠀⠀⠀⠀⣠⠃⣀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡶⠀⠀⠁⠰⡏⠀⠈⠑⠂⠀⢀⠞⠉⠉⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⣶⣿⡃⠀⠀⠀⠀⠣⡀⠀⠀⠀⢀⣎⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠏⢀⡾⠁⠀⠉⠲⢤⣀⠀⠀⠈⠉⠉⠁⡼⠉⣀⣠⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠒⠒⠒⠒⠦⠄⠉⠉⠙⠓⠒⠒⠛⠛⠀⠘⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣤⣶⣤⠀⠀⠀⢠⣤⣄⠠⠀ ⠘⠻⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⣻⣿⣿⣿⡆⠀⠀⠈⠉⢻⣆⠁ ⠀⠀⠀⠙⠛⠻⢿⣿⣷⣾⣷⣦⣿⣿⣿⣿⣯⣤⣄⣀⣀⣸⣿⡆ ⠀⠀⠀⠀⠀⠀⠈⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⠏⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠋⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⡤⠴⠚⠛⢛⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠛⠁⠀⠀⢀⣀⣠⣴⣶⣾⣧⡹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣀⣸⣿⣿⣿⠩⠉⢻⣇⢿⠀⠀⠀⠀⠀⣤⣴⠶⠶⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⣠⣶⣿⠟⠛⠿⣿⣧⡀⠈⣿⣿⣿⣿⣿⣶⣾⣯⠉⠁⢳⡀⠀⢿⡓⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⠛⠛⠓⠢⣤⣀⠛⠿⠛⠁⠀⠀⢀⣼⣿⢿⣄⣼⣿⣿⣿⣿⡿⠘⠀⠀⠀⠀⢿⣄⠀⢙⣦⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣋⣥⣶⠶⠶⠒⠶⢶⣦⣉⣓⡲⠦⣄⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠈⢿⠧⠈⣮⠎⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣼⣩⡾⠛⠉⣀⣀⣀⣀⣀⣀⣀⣉⣉⣽⣿⣶⣾⣿⣿⡿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠄⠀⠀⠀⠁⠀⠸⣧⠻⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡼⣱⢋⣤⡤⠞⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⢹⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠹⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⢹⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣀⡤⠤⠶⠶⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣯⣽⣿⣿⣹⣿⣿⠀⠹⣿⣄⠀⠀⠀⠀⠀⠀⠀⢻⡆⢷⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⢋⡁⠀⣠⠀⠸⡆⠀⢹⣄⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣻⣿⠋⠙⠁⠀⢻⣸⣿⣿⣿⣇⠀⠁⢻⣧⡀⠀⠀⠀⠀⠀⠘⢿⣼⡆⠀⠀⠀⠀ ⠀⠀⢠⣞⣽⠈⢻⡆⠘⣷⠀⣿⣆⡸⣎⣹⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⢿⣿⠃⠀⠀⠀⠀⠈⠘⣿⣿⣿⣿⣆⠘⢦⢻⣧⠀⠀⠀⠀⠀⠀⢸⡌⠻⡄⠀⠀⠀ ⠀⠀⣿⠋⢿⣄⠀⠙⣆⠹⣄⢘⣿⡷⠟⠁⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡌⣿⣶⣀⣀⣀⣠⠄⠀⠘⣿⣿⣿⣿⣿⣦⡜⣿⣷⣦⣦⠀⠀⠀⠈⣷⠀⠹⣆⠀⠀ ⠀⠀⡿⠀⢸⣿⣷⣦⣬⠶⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⣿⠈⢻⣿⣷⡦⠀⠀⠀⣹⣿⣿⣿⣿⣿⣷⡜⣿⣮⡻⢷⣄⠀⠀⢸⡆⠀⠙⣦⠀ ⠀⣸⠁⠀⡿⠿⢿⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⢋⣩⣭⣭⣽⣿⣿⣿⣀⣄⣀⣠⣾⣿⣿⣛⣿⠟⠿⣿⣿⣬⢻⣿⣦⣛⣧⡀⠀⡇⠀⠀⣽⡆ ⢠⠇⠀⢰⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⢀⣀⣀⣀⢀⣼⠋⣠⣾⡿⠟⠛⠉⠉⠛⠿⠿⠿⠿⠿⢿⠟⣾⡿⠋⠁⠀⠀⠈⠙⠿⢿⣏⠉⠉⠛⢷⡀⠁⠀⠀⣿⡇ ⣿⠀⠀⡇⠀⠀⡆⠀⠀⢻⠀⠀⣴⠞⠉⠁⣤⣭⣭⣷⣾⣿⡏⠀⠀⠀⠀⠰⠂⠀⠀⠀⠀⢸⡏⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⢀⠀⠀⠀⠻⡄⠀⠀⣿⡇ ⡇⠀⠀⠀⠀⢰⡇⠀⠀⠈⣧⣾⠇⠋⠀⠀⠀⠀⠉⠉⠙⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠘⣆⠀⠀⠀⠁⠀⠀⣿⣿ ⡇⠀⠀⠀⠀⢸⡇⠀⣠⠾⢛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣼⠀⠹⣄⠀⠀⠀⠀⢀⣿⣿ ⣿⠀⠀⠀⠀⡸⠀⢠⢃⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⣇⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠁⠀⠀⢘⢷⡄⠀⣠⠿⢁⡿ ⢻⣧⠀⠀⢀⣁⣴⠋⢸⡇⠙⠛⢦⣄⠀⠀⠀⠀⣰⡇⠀⢰⣿⣿⣿⣆⣀⠀⠀⠀⢀⠀⣇⠀⠀⠀⠀⣆⠀⠙⠃⠀⠀⠀⠀⢀⡀⠀⠀⣿⠀⢻⣶⠏⢠⠟⠀ ⠀⣿⡄⠀⢸⣏⡛⠁⢸⡇⠈⢿⡆⢹⠀⠀⣿⠀⢻⠏⠉⣿⣿⡿⠋⢹⣿⣿⠄⣾⠋⠉⣿⣉⠉⠀⠘⡏⠁⢰⣿⡿⠃⠀⢸⣿⡍⠛⠀⢿⣤⡞⡋⢀⣿⠀⠀ ⠀⠘⣧⡀⢈⠉⢻⠆⢸⣇⣀⣸⠇⢸⠆⠀⣿⠀⣸⣆⡼⠟⠉⠀⠀⠀⠈⠉⠻⣿⣆⣐⣻⡯⣿⡆⠀⣷⡀⠈⠁⣀⣰⣦⣾⡏⢉⣄⠀⠈⠉⢲⡇⢠⡏⠀⠀ ⠀⠀⠀⠙⠻⠤⠞⠛⠋⠉⠉⠙⠛⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠑⠒⠀⠀⣸⠇⠈⡿⠛⢏⣁⠀⠙⠛⠀⠀⠟⠛⠁⠀⠙⠛⣿⠀⠀⠀⢸⡗⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢠⡌⠀⠀⠀⠉⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠚⠙⡇⠀⢀⡾⠁⡼⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣌⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣼⠃⣸⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⢙⡷⠖⠶⣦⣴⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣸⠇⣰⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣼⠃⠀⠀⠀⠘⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡷⢋⡼⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⢻⡀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⣠⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⢰⡎⠙⠳⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢀⡾⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢣⣿⠁⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢀⣴⠯⠤⠖⠲⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⠋⢻⣇⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⡏⠀⠀⠀⠀⠀⠀⠀⠀⣰⠛⣠⡶⠓⢙⣿⣆⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⡀⡇⠀⠀⠀⠀⠀⠀⢀⣼⠷⠞⣉⡀⠤⠾⠿⠿⣧⡀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣇⠇⠀⠀⠀⠀⣀⡴⣛⡥⠖⠊⠉⠀⠀⠰⡄⠀⠘⣿⣄⢲⣿⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠛⠻⠤⣤⡴⢞⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠸⡟⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠀⠀⠀⠉⠁⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢹⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⡆⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⢸⣇⠀⠀⠀⠀⣀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⠙⢷⡀⠀⠀⠈⢃⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠀⠀⠀⠈⠻⣦⡀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠙⠛⠛⠋⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠛⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣯⣿⣀⡀⣀⣀⠀⠀⠰⠀⣼⡏⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣚⠉⠉⠀⠀⠉⠉⠁⢲⣸⡿⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠿⠋⠀⠀⠀⠀⢀⣀⠀⠀⠻⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠉⠙⠲⢤⡀⠀⢸⡿⠋⠃⢀⣀⣽⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣦⣤⡀⠀⠀⠀⠈⠁⣀⣤⣾⣿⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠿⢻⣿⣿⣿⣿⣿⣿⣟⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠋⠁⢀⣾⡿⠋⢈⣿⣯⡽⣿⣿⣿⣗⡦⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠿⢿⣷⣤⡈⣿⣿⣷⣽⣿⣿⣿⣿⣦⡈⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠟⢿⣿⣿⣿⢿⣿⣿⡿⠆⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠙⠛⣿⣿⣿⣿⣧⡀⠲⣄⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠂⠀⣼⠁⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⡇⠀⠈⠀⢹⡇⢦⡀⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢀⡼⠃⢁⣠⣾⠏⠀⢰⡀⠀⠀⠀⠀⠀⢿⡟⢿⣿⣿⣿⣄⣀⣾⣷⣴⣜⣇⡀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⡇⠀⠀⢀⡴⠉⢀⣶⣿⣿⣷⡄⣴⣿⡛⢶⣤⠀⠀⢀⣿⠀⣾⣿⣿⣿⣿⣿⣿⣿⣍⡉⠉⠙⣩⠈⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⡄⢄⣽⡷⠖⣛⢻⣿⣿⢟⣼⣿⣿⣿⣷⣼⣦⣴⣿⣿⣾⣿⣿⣿⣿⡿⠛⠿⠿⠿⣿⣷⣾⣾⣷⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡈⢧⣼⠋⠀⢀⣿⣏⣿⣷⣿⣿⡿⠛⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⣼⣿⡿⣿⠏⣼⣿⡀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠁⣸⠃⠀⠀⠸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⣿⣿⣿⠉⣿⣌⢿⣿⣽⡁⠀⠀⠀⢸⣿⠏⢸⡿⣰⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡏⢰⠇⠀⠀⠀⠀⣿⣿⢿⣿⣿⣧⠴⠂⠀⣠⣿⢯⣿⡀⠈⢻⡄⠹⣿⣷⣄⠀⠀⣿⡇⢠⡿⣹⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢷⢸⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣤⣤⣤⡾⠛⠁⠀⠙⣿⡄⠀⠻⣄⠈⠻⢿⣷⣼⣿⣠⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣾⡄⠀⢠⡟⠋⣿⣿⣿⣿⡿⠿⠛⠁⠀⠀⠀⠀⠀⣽⣿⠀⠠⠹⣷⡎⣑⣻⣿⣿⣿⠟⠁⠀⠒⣖⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⢿⡟⢶⡆⣷⣤⣿⣿⠉⠹⣧⡀⠀⠀⠀⠀⠀⠀⢰⣿⠇⠀⠀⢀⣹⡿⠛⠋⠉⠹⡇⠀⠀⠀⢀⣾⣾⢫⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡾⠀⢸⡇⠸⣧⣿⣿⣯⣧⠀⠀⠈⠳⢤⣀⣀⣀⣴⣶⣿⣿⣤⢶⣿⡿⠋⠀⠀⠀⠀⠀⠿⢦⣄⣴⣿⣾⡁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⡁⠀⡼⠁⢠⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠉⠳⣭⡉⢻⣿⡿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠦⣈⢁⠈⣿⣶⣿⣻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣧⢠⠇⠀⣞⣿⣟⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣦⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡟⠀⢸⣿⡿⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⠿⠷⣶⣦⣴⣶⣿⣿⣿⣿⣿⣾⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠁⢀⣾⠃⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣠⠜⠋⠀⠉⢛⣿⠛⢷⣦⣄⣢⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣅⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠀⡞⠁⣸⡿⠁⠀⠀⠀⠀⠀⢀⡤⠴⠋⠁⠀⠀⣠⡶⠟⢁⢀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡿⠿⣧⣭⡻⣶⣄⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡟⡾⢁⣼⣿⠃⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⣀⣴⣞⡿⠗⠋⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠉⠉⣀⣀⣀⣀⣀⣠⣤⣼⣙⣳⠦⠀⠈⠳⢦⣀⡀⠀⠀ ⠀⠀⠀⠴⠋⠀⢀⣼⣿⣏⠀⠀⠀⠀⠀⡴⠃⠀⠰⣤⣾⣿⣟⠉⠀⠀⠀⠀⠀⣀⣙⣿⣿⣿⣟⠛⠿⠟⠛⢛⡟⣋⠉⠉⠉⠉⠁⠁⠈⠉⠉⠛⠛⠷⠶⠶⠿⠿⠿⠷ ⣀⣀⠀⠀⢀⢚⣫⣿⣯⡿⠀⠀⠀⠀⣾⠀⠀⠀⣸⡿⠛⠛⠛⠻⠿⣶⣶⣿⣟⡛⠋⠉⢉⣉⣩⣽⣿⣿⣷⣾⠀⠈⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⠉⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠙⠒⠀⢿⣽⣗⢦⣤⣄⡀⡀⣀⣠⣤⣤⡿⠟⠉⠉⣉⣀⢤⡍⢹⣿⣿⣇⣤⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠾⠷⠯⠥⠤⠖⠒⠛⠛⠛⠛⠿⠿⣿⣷⣷⣾⣿⣿⣄⡀⠀⠉⠛⣶⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣷⣶⠶⣉⣽⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⡀⠉⢉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⡄⠀⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⣰⣧⣼⣿⣽⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣇⠀⣿⠿⢿⠻⠿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣾⠿⠢⠄⠁⠀⣬⣿⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡁⠀⠀⢀⠠⠧⠄⠈⣧⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⢄⣀⠀⠀⣀⣀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡏⠉⠠⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡖⠉⠑⠀⠲⣤⠤⠘⠉⡁⠲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⡀⠀⡄⠀⠰⠀⠀⠀⢹⡀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⢲⢧⣠⣀⣀⠴⢄⣀⣤⣆⠘⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠎⡾⣄⣀⣀⣴⠒⢄⣀⣿⠀⢺⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⢰⣷⣖⠁⠁⢈⡀⠣⣾⢻⣄⡜⣣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠁⢳⢉⡏⠃⠠⡀⠀⡏⠉⣼⠸⠙⡀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⢰⠟⣄⢰⠈⢹⠉⢰⣿⣆⡆⠱⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡤⡔⠊⠉⡱⢆⠀⠀⠀⠀⠀⠀⠀⢸⠀⢀⡞⠀⠈⠳⡶⢼⠤⡿⠁⠘⣷⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣀⠀⠀⠀⠀⠀⠀ ⢀⡔⢺⠁⠀⡇⠀⠀⢷⠈⢣⠀⠀⠀⠀⠀⢀⣼⢦⣼⣁⣀⠤⠤⠷⠤⠼⠥⠤⢤⣻⣟⣻⡀⠀⠀⠀⠀⠀⡴⠋⠀⢸⠈⠹⠒⢄⡀⠀⠀ ⢻⠀⢸⠀⠀⢧⠀⠀⠸⣷⡞⢧⢀⡠⠤⠒⠛⣿⡓⣛⣧⣤⠒⡶⢶⣲⡶⠒⠶⣶⠏⠨⣹⣗⠒⠢⠤⣀⡎⠀⠀⠀⡘⠀⢠⠀⠈⡏⢳⡄ ⢸⠀⠀⡆⠀⠸⡄⠀⠀⢣⣤⠊⢁⡠⠤⠒⠉⠻⢿⡿⠋⠋⠐⡅⠀⣿⠀⠀⠰⠉⠚⣿⠋⠀⠉⠑⠢⡤⣉⣲⠀⢠⠃⠀⡜⠀⢠⠀⠸⢸ ⠀⡆⠀⢹⡀⠀⢳⠀⠀⠈⢏⠋⢳⠀⠀⠀⠀⠀⠸⣇⢄⡖⠀⢸⢸⢿⠰⠀⠀⡟⢰⠇⠀⠀⠀⠀⣸⠀⠀⠀⣰⠏⠀⣰⠃⢀⡎⢀⠇⡸ ⡀⠹⡄⠀⢷⠀⠀⢧⠀⠀⠈⡆⠀⡇⠀⠀⠀⠀⠀⢹⡟⠑⢤⣾⠋⠀⢳⣀⠘⠙⠇⠀⠀⠀⠀⠀⡟⠀⢀⣼⠋⠀⡰⠃⠀⡜⠀⡜⢀⠃ ⢣⡀⢹⣆⡀⢳⣀⠀⠳⣄⡀⠘⢦⡕⠀⠀⠀⠀⠀⢸⡇⠀⠀⢳⠀⠀⣼⠉⠀⢸⡆⠀⠀⠀⠀⠀⠺⣶⡚⠁⣠⠖⠁⣠⠎⢀⡜⣠⠊⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡾⣫⣣⠞⠁⣀⣤⡤⠤⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⣯⣵⠏⠁⡴⡪⣙⣌⣋⣀⣸⠇ ⠀⡀⠀⠀⠀⠀⣠⡿⠾⠒⠺⢧⡽⠋⠁⠀⠀⠀⠀ ⢠⡜⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⢀⣀⢸⡆⠀⠀⢦⡀ ⠀⠀⣄⠀⡇⠀⠀⠀⠛⠁⢠⣈⠀⢸⠇⠀⠘⠲⠃ ⠀⠀⠉⠀⠹⣄⠀⠀⠀⠀⠁⠀⣠⣏⣀⠀⠀⣶⠀ ⣠⠖⠒⠒⠚⢚⡿⠒⠶⠶⠒⠋⠙⣧⣭⠙⡆⠀⠀ ⠉⠓⠓⠒⠒⢺⠀⠀⠀⠀⠀⠀⠀⣿⣉⡴⠃⠀⠀ ⠀⠀⠀⠀⠀⣸⢧⡀⠀⠀⣀⣠⣾⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⠋⠻⣍⠉⠙⢧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣳⢤⣀⣳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⡄⠀⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⣰⣧⣼⣿⣽⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣇⠀⣿⠿⢿⠻⠿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣾⠿⠢⠄⠁⠀⣬⣿⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡁⠀⠀⢀⠠⠧⠄⠈⣧⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⢄⣀⠀⠀⣀⣀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡏⠉⠠⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡖⠉⠑⠀⠲⣤⠤⠘⠉⡁⠲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⡀⠀⠀⠀⠰⠀⠀⠀⢹⡀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⢲⢧⣠⣀⣀⠴⢄⣀⣤⣆⠘⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠎⡾⣄⣀⣀⣴⠒⢄⣀⣿⠀⢺⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⢰⣷⣖⠁⠁⢈⡀⠣⣾⢻⣄⡜⣣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠁⢳⢉⡏⠃⠠⡀⠀⡏⠉⣼⠸⠙⡀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⢰⠟⣄⢰⠈⢹⠉⢰⣿⣆⡆⠱⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡤⡔⠊⠉⡱⢆⠀⠀⠀⠀⠀⠀⠀⢸⠀⢀⡞⠀⠈⠳⡶⢼⠤⡿⠁⠘⣷⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣀⠀⠀⠀⠀⠀⠀ ⢀⡔⢺⠁⠀⡇⠀⠀⢷⠈⢣⠀⠀⠀⠀⠀⢀⣼⢦⣼⣁⣀⠤⠤⠷⠤⠼⠥⠤⢤⣻⣟⣻⡀⠀⠀⠀⠀⠀⡴⠋⠀⢸⠈⠹⠒⢄⡀⠀⠀ ⢻⠀⢸⠀⠀⢧⠀⠀⠸⣷⡞⢧⢀⡠⠤⠒⠛⣿⡓⣛⣧⣤⠒⡶⢶⣲⡶⠒⠶⣶⠏⠨⣹⣗⠒⠢⠤⣀⡎⠀⠀⠀⡘⠀⢠⠀⠈⡏⢳⡄ ⢸⠀⠀⡆⠀⠸⡄⠀⠀⢣⣤⠊⢁⡠⠤⠒⠉⠻⢿⡿⠋⠋⠐⡅⠀⣿⠀⠀⠰⠉⠚⣿⠋⠀⠉⠑⠢⡤⣉⣲⠀⢠⠃⠀⡜⠀⢠⠀⠸⢸ ⠀⡆⠀⢹⡀⠀⢳⠀⠀⠈⢏⠋⢳⠀⠀⠀⠀⠀⠸⣇⢄⡖⠀⢸⢸⢿⠰⠀⠀⡟⢰⠇⠀⠀⠀⠀⣸⠀⠀⠀⣰⠏⠀⣰⠃⢀⡎⢀⠇⡸ ⡀⠹⡄⠀⢷⠀⠀⢧⠀⠀⠈⡆⠀⡇⠀⠀⠀⠀⠀⢹⡟⠑⢤⣾⠋⠀⢳⣀⠘⠙⠇⠀⠀⠀⠀⠀⡟⠀⢀⣼⠋⠀⡰⠃⠀⡜⠀⡜⢀⠃ ⢣⡀⢹⣆⡀⢳⣀⠀⠳⣄⡀⠘⢦⡕⠀⠀⠀⠀⠀⢸⡇⠀⠀⢳⠀⠀⣼⠉⠀⢸⡆⠀⠀⠀⠀⠀⠺⣶⡚⠁⣠⠖⠁⣠⠎⢀⡜⣠⠊⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠒⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⡐⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠄⡀⠀⠀⠀⠀⠀⠀⠀⡇⣼⠇⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡉⡝⠀⠀⡇⠀⠀⠀⠀⢀⡴⠉⠀⠀⠀⠀⠈⠳⠤⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠪⣄⡜⠀⠁⠢⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⠀⠀⠀⠑⠀⡇⠀⠀⡖⠉⡆⠀⠀⠀⢀⠗⠶⢀⣀⠤⠴⢤⡀⠀⠀ ⠀⠀⠀⠀⣀⠤⠤⣄⡠⠴⢳⡀⠀⠈⢈⠠⢄⠂⢐⡜⠀⠀⢸⡔⢀⡀⠀⠱⠀⠀ ⠀⠀⠀⣏⠐⠉⠓⢠⠬⠵⣄⠈⠻⢲⢤⣳⡽⢶⡛⠉⠐⢦⡠⠼⣾⠃⠀⠀⢣⠀ ⠀⠀⡜⢁⠋⠔⠲⢀⠵⡒⠃⢃⠀⡆⠈⠰⠍⠀⠊⠢⢠⠊⠀⠀⠀⢦⠀⠀⠈⡄ ⠀⢸⠀⢸⠀⠒⢣⠁⠀⢸⠈⢻⣀⠃⠑⠀⠈⠆⠀⠀⢡⠡⣀⠀⡀⠦⡀⠀⠀⡇ ⠀⠘⣆⠀⠑⠒⠊⠒⠐⠓⣤⣼⣁⠀⠀⠀⠀⢸⡀⠀⢠⣁⣀⣀⣀⠤⠖⠐⠂⠁ ⠀⠀⠈⠳⣄⠀⢀⠀⣀⣴⡧⣀⠙⠒⠠⣤⠐⠊⡍⠈⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⠳⣄⠙⠪⢢⠂⠉⠀⠀⠴⠤⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡤⣤⢟⡀⠀⠘⢄⣀⡀⡌⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠰⠥⠤⠬⠐⠂⠠⠤⠤⠔⠒⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⡏⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢰⡇⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⣕⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⢷⠀⢠⡌⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⣆⠈⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢢⣄⠀⠈⡇⠈⣆⠀⢱⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣆⠐⢄⠈⠓⢦⡀⠀⠀⠀⠀⠀⠀⢫⣂⠀⠹⡀⠘⣄⡘⢹⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢣⠀⢑⢄⠀⠈⠓⢦⣀⣀⣤⣤⣤⣷⣦⣤⣽⡄⠘⣇⣾⡒⠙⠢⡑⢺⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠳⣌⠢⡉⠢⢄⣴⠋⢰⡆⣤⣎⢩⣾⣭⣿⢟⣿⡻⣤⡃⡀⠀⠘⣎⠹⡍⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠲⣌⠑⣾⠙⣰⣸⣴⠃⢘⣼⣿⣿⡟⢳⡟⡇⢻⣯⠉⢳⠀⢸⡄⠹⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢱⠳⣄⣿⣿⡿⢀⣼⢻⡄⡽⠁⢾⣷⣿⡞⣿⡅⢣⣧⡀⣿⡄⢣⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢀⣾⣽⣿⣢⣿⣃⣀⡴⠁⡶⣿⣿⣿⡗⣿⢸⡌⢸⡀⣾⠘⡌⣇⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⠀⢹⡼⢩⠈⣯⣯⠸⠻⡏⠀⠀⠀⢉⠁⢾⢠⠃⠨⣿⢹⢣⣿⠀⠘⢾⠀ ⠀⢀⣤⣾⠟⠙⣦⡀⠀⠈⠃⠸⡄⠘⣏⣑⣤⣖⠄⠀⣠⠀⢀⣸⣿⠀⠀⣧⡎⣾⡏⠀⠀⠀⠀ ⠀⣏⣠⡾⢿⠀⠳⣍⢳⠀⠀⠀⠱⡄⢛⠷⣕⣦⣤⠔⣋⡠⠞⣿⣇⠀⣠⡾⢤⣝⠀⠀⠀⠀⠀ ⠀⠸⡵⣖⣉⠀⠀⠘⣾⠀⠀⠀⠀⠀⣸⠖⡿⢮⣙⣻⠿⠃⣀⣼⢿⣿⠉⠀⠀⠘⣆⠀⠀⠀⠀ ⠀⠀⢿⣽⠏⠀⠀⠀⣸⠀⠀⠀⠀⡜⢀⡼⣥⠾⠉⠁⠀⠁⣼⣟⡟⠁⠀⠀⠀⠀⢹⡀⠀⠀⠀ ⠀⠀⠀⠈⠑⠶⣞⣹⡇⠀⠀⠀⢸⣇⡮⢾⠏⠀⣠⢆⠔⠁⡿⡏⠀⢰⡀⠀⠀⠀⠘⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣤⣧⣷⠀⣠⠖⠉⠁⠀⠈⢠⠊⠓⠁⠀⡀⣆⣤⠀⢠⣷⠀⠈⠀⠀⢧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡟⠽⢟⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠘⣼⢒⡿⠘⡄⠀⠀⠀⠸⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠘⣦⠄⠀⠀⢰⠀⠠⠀⠀⡀⢄⣰⠈⢤⣿⡾⠁⠀⠱⡄⠀⠀⠀⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠘⠦⣄⡀⠀⠳⣀⣀⠀⠙⠉⢁⣠⠾⣻⠃⠀⠀⢀⡕⠂⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⡿⢈⣽⢿⡋⠉⠉⠉⠉⠉⠉⠁⠴⡇⠀⠀⠀⢸⠀⠀⠀⠀⡾⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⢁⠞⠁⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠑⠤⡀⠀⢸⠀⠀⠀⡸⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠖⠃⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⣸⣀⣀⣰⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⡤⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⣷⣷⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⢻⡦⣄⡀⠀⠀⠀⠀⠀⠀⢠⡔⠛⠀⠀⠀⠿⠻⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢃⣰⠀⢻⡐⠯⢽⣒⣦⠤⣀⣷⣞⣠⡶⠀⠀⠀⣴⠀⢱⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣃⠘⡿⡀⡜⠘⢢⡀⠀⠈⠙⠲⠤⢀⠀⣯⠀⠀⠀⠼⣆⢈⢣⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠈⠙⠲⢧⡃⢾⠀⠙⣦⡆⠀⣴⠀⠀⣀⣿⠸⡄⢯⣣⢸⠼⠻⡅ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠙⠲⣝⠀⡇⣿⠙⢳⠀⢠⣿⡿⠀⣇⠎⠈⠿⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠈⠱⣧⣿⠀⠘⡇⠛⠁⠀⢣⣟⠀⠀⠀⠀⠀⢻ ⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠟⠀⠀⢳⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⠀⠀⠀⡹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠄⠒⠈⠁⠉⠉⠳⢖⠒⠠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⡫⠊⠀⠀⠀⠀⠀⠀⠀⠻⡧⠀⠈⢓⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠔⠀⠀⡠⠒⠀⠢⡀⠀⠀⠀⠀⠀⠀⠀⠆⢂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠏⠀⠀⡘⠀⣠⣦⠀⡇⠀⠀⡐⠈⠉⠐⡄⠈⡈⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠊⠀⠀⠀⡇⠀⣿⡿⢠⠁⠀⠀⣧⣶⡆⠀⢰⠀⢃⢡⠀⠀⠀⠀⠀ ⠀⠀⠀⡱⠀⠀⠀⠀⠈⠒⠂⠄⠃⣀⣀⠀⢿⡿⠃⠀⡸⠀⠘⡌⡄⠀⠀⠀⠀ ⠀⠀⠀⢇⡬⢼⠀⠀⠀⠀⠑⠄⢀⡱⡀⠁⢈⠑⠒⠊⠁⠀⠀⣰⢧⠀⠀⠀⠀ ⠀⠀⡶⢿⡖⢸⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠘⡀⠀⠀⠀ ⠀⢸⡿⢶⡗⡄⣀⣿⢒⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠊⠹⠁⠀⢃⠀⠀⠀ ⠀⢀⡏⠉⠢⡁⠀⠀⠀⠀⡀⠄⠒⠛⠋⢍⠉⠙⠣⡀⠟⡀⠀⠇⠀⠘⡄⠀⠀ ⠀⣌⣸⣣⡜⠉⢲⡆⡄⡘⠀⠀⠀⠀⠀⠀⢡⢠⠀⢸⢸⣇⠀⠘⡀⠀⢡⠀⠀ ⢠⠋⣽⢻⡇⢀⣧⡡⠁⠃⠀⠀⠀⠀⠀⠀⠀⠃⠳⡊⠀⡾⡀⠀⢃⠀⠈⡄⠀ ⡜⠀⢹⠗⠽⡙⡿⠁⠸⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠱⠀⠸⣣⠀⠈⡄⠀⢡⠀ ⡇⠀⡌⠀⡰⡙⡇⠀⠀⢂⠀⠀⠀⠀⠀⠀⢀⠆⠀⢰⠀⠀⠹⣇⠀⠸⡀⠈⡀ ⠣⣀⣓⡪⠟⠀⠘⢄⡀⠀⠐⠄⣀⣀⣀⠤⠊⠀⣠⠎⠀⠀⠀⠱⡦⠴⢃⠴⠀ ⠀⠀⣀⠠⠤⠤⠐⠒⠉⠀⠀⠁⢹⠀⡃⠉⠀⠉⠈⠉⠒⠠⠄⢀⡀⠉⠁⠀⠀ ⠀⢸⠀⢰⠁⢰⠊⠀⠀⢀⡠⠂⠁⠀⠁⠂⢄⡀⠀⠀⢰⠀⢰⠀⣸⠀⠀⠀⠀ ⠀⠀⠈⠉⠒⠚⠒⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⠚⠒⠈⠉⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣶⠿⠿⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡫⠿⡶⠀⢠⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡻⠋⣀⢼⣡⣶⠿⠋⠀⠀⠀⣀⣠⣤⣤⣴⣶⣦⣤⣄⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⡝⢁⣼⣿⡿⠟⠁⠀⠀⣠⣴⡿⢟⣛⠭⠽⢵⡄⠀⠉⠻⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢷⢡⣾⣿⠏⠀⠀⠀⣴⣿⠟⣩⠖⢋⣥⠴⠚⠉⠀⠀⠀⢀⣽⡗ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⢸⡜⣾⠏⠀⠀⢀⣾⡟⢡⢞⡥⣺⣵⣶⠿⠿⠿⠿⠿⠿⠿⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣧⣼⣾⣿⣶⠶⣶⣾⣿⣤⣀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠛⠉⠉⠀⠀⠀⠀⠀⠈⠛⠻⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣷⡾⠉⠀⠀⠀⠀⠀⣠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀⢀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⢸⣿⠀⠀⠀⠀⠀⢸⢿⣤⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⣤⣴⠶⠤⠀⠀⠀⠈⠻⠋⠉⠀⢸⣿⠀⠀⠀⠀⣴⣇⣀⣠⡟ ⠀⠀⠀⠀⢰⣆⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠈⠙⠀⠀⠀⢰⣷⠀⣀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠉⠘⠿⠁ ⠀⠀⠀⠀⢻⣬⠇⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠟⠛⠛⠛⠀⠀⣠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠀⠀⠀⠹⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀⠀⠀⠀⢀⡟⢷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣙⢿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⡿⠿⠿⣷⣦⣄⠀⠀⠀⠿⠛⠀ ⢀⣴⣶⠿⠿⠿⠿⠿⠟⠛⠛⠛⢛⣿⣿⠿⠿⢷⣶⣶⣶⡾⠿⠟⠛⠉⠈⠻⣷⣄⣀⡀⠈⠻⣿⡄⠀⠀⠀⠀ ⣾⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢻⣿⠀⠀⢸⣷⠀⠀⠀⠀ ⠈⠻⠿⠷⠿⣶⣶⣶⣶⣶⣶⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠟⠋⠀⢀⣾⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣶⣶⣶⠿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⢻⣷⣄⠀⠀⠀⠀⠀⠀⣀⣠⣴⡾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣤⣽⣿⣿⣶⣶⣶⣶⡿⠟⠻⣿⣤⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠙⢿⣦⡀⠀⠀⠀⠈⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣷⣄⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠉⢻⣷⣤⣄⡀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣴⣿⠏⠙⠛⠿⣶⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⠤⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠁⠀⠀⠀⠀⡀⠀⠉⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⣀⣤⣶⣍⣤⣀⡀⠀⠀⠙⠶⠖⠒⠓⠒⠦⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣻⣟⣟⣭⣿⠬⢷⡿⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠃⣿⠟⠉⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠋⡅⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠋⠉⠉⠁⠀⣈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⠀⣄⠀⣄⡀⢰⡦⡆⣶⢀⡇⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠦⣤⣀⡀⠀⠀⠀ ⠀⠀⢿⡀⣿⡀⣿⣿⣿⠇⣷⢿⣸⡇⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠚⠁⣸⠀⠀⠀⠀⣈⠑⡄⠀⢀⡰ ⠀⠀⠘⣿⠙⣧⣿⠻⣿⡄⣷⢸⣿⡇⠀⠀⠸⣇⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⢀⢀⢀⣴⠃⠀⢈⡩⠃⢈⠇⠙⠒⠋⠀ ⠀⠀⠀⠘⣇⠙⠛⠀⠈⠁⠀⠀⢉⡀⠀⠀⠀⠙⢦⡀⠀⠀⢠⠿⣻⣷⣧⣠⣤⣤⢤⣇⣸⡾⠃⠴⠒⣉⡤⠖⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣈⣁⣀⡀⣀⣴⠾⡟⠲⣤⡤⠀⠩⠿⢿⣵⣽⣿⣿⠟⡿⢷⣤⡀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⡶⠞⠋⠉⠀⠈⢹⣟⡉⠀⠀⠀⠀⠈⠣⡀⠀⠀⠀⠀⡠⠟⠁⠀⠁⢀⣹⠟⠛⠛⠛⠛⠳⢶⣄⡀⠀⠀ ⠀⠀⠀⠀⠀⣴⠟⠉⠀⠀⠀⠀⠀⣀⡔⠀⠈⠉⠒⠦⢄⣀⠀⡇⢀⣠⠤⠚⠒⠒⠚⠉⡽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀ ⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⣸⡦⠟⠋⠀⠀⠀⠀⠀⠀⣀⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆ ⠀⢀⣴⠟⠉⠉⠉⠙⠲⣄⣰⠃⠀⠀⢀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠀⠀⠉⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⢻ ⢀⡾⠁⠀⠀⠀⠀⠀⠀⢸⡿⠒⠲⠚⠉⠳⢄⠀⣰⠃⠀⢀⣤⠔⠚⠓⠦⣤⠏⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⣼ ⣼⠁⠀⠀⠀⠀⠀⠀⠀⣸⣷⠂⢀⡀⠐⠒⠚⠛⠋⠉⠉⠉⠉⠉⠙⠲⢤⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⣰⡟ ⣿⠀⠀⠀⢀⠤⠒⠋⠉⠉⠛⢧⣀⠳⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠀⣰⡟⠀ ⡏⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠙⢳⡀⠈⠑⠒⠤⢄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠘⣷⠤⠤⠴⠖⠒⠒⠲⠤⠄⠀⠀⣰⡟⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠙⢦⡀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠀⠀⠀ ⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠃⠀⠀⠀⠀ ⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⠋⠀⠀⠀⠀⠀⠀ ⠀⠈⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠛⠛⠷⢶⣶⠒⠒⠒⠺⠛⠛⠛⠉⠹⡇⠀⠀⠀⠉⠉⠉⠛⠶⠦⠤⢤⣄⣴⡿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⠒⠀⠀⠘⠄⠀⠀⠀⠀⠙⠂⠀⢤⣤⡤⠤⠤⠎⠀⠀⠀⠀⠒⠒⠘⢿⡛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠠⠀⠒⠀⠉⠉⢂⣾⡏⠀⣿⡄⠀⠀⠀⠀⠀⢀⠠⢐⠠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠔⠉⠈⢧⠸⡟⣁⣀⡀⠀⠀⣰⡿⠚⠀⠀⡠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⡈⠁⠀⠀⠠⢂⠽⣷⣘⣒⡒⠤⣑⡾⢚⡡⢴⠲⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠱⠀⣀⠔⡰⠋⠀⠰⠁⠀⢹⠛⠮⠹⡫⠁⠀⡔⡫⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣤⣝⣛⢻⡟⠠⣸⢠⡆⠀⠀⠨⢠⣪⣵⡇⢃⣀⢴⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⢛⠭⠀⠭⣿⡕⣶⣿⣿⡇⢀⣤⣧⡾⣻⡿⠁⠀⠀⠀⠈⡰⠀⠀ ⠀⠀⠀⠀⠀⠡⡇⠀⠀⠀⠸⣷⣿⠈⠉⠣⠾⠯⣵⡷⠋⢀⠧⠇⡀⠔⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠀⠀⠀⠀⢹⣿⣇⠀⡀⠀⢀⣺⣢⣾⣿⠓⠾⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⢌⠄⠀⠀⢀⠠⣎⡽⣝⣆⡴⡶⢋⠵⠛⠉⠀⠈⠑⢹⣿⡠⠂⠀⠀ ⠀⠀⢀⠔⡱⢥⠒⠓⠋⠁⠈⠀⠉⠉⠷⡞⡔⠁⢀⠀⠀⠀⠀⠀⢿⠏⠀⠀⠀⠀ ⠀⡐⣡⠎⠀⠀⠑⠄⠀⠀⠀⠀⠀⠀⠀⠫⡑⡴⠁⠀⠀⠀⡠⠚⡀⠀⠀⠀⠀⠀ ⠎⢄⠏⡄⠀⠀⠀⠈⠄⠀⡠⠈⠀⣀⣀⡀⠈⢪⠢⢀⣠⢻⠀⠠⠐⡄⠀⠀⠀⠀ ⠈⡜⡄⠈⠢⢄⡀⠀⠘⠮⠐⠈⠀⠀⠀⠈⠢⠀⡇⠱⡃⡌⡄⠀⠡⡈⠂⠀⠀⠀ ⢰⢠⡟⠢⣀⣀⠀⢉⣹⠀⡀⠀⠀⠀⣀⠀⠀⠁⡆⢠⠁⠃⠰⠀⠀⠐⢄⠑⢄⠀ ⠘⡇⢳⠀⡇⠂⠒⡏⠙⣦⡀⠁⠁⠁⠄⠁⠐⣺⡇⣸⡇⠁⠀⠡⠀⠀⠀⠹⡀⢢ ⠀⡏⢸⡄⢡⠠⠀⠑⠊⠈⠛⠔⢦⠤⠄⠒⡹⡙⢐⠟⠁⡀⠀⡆⢣⠀⠀⠀⢑⠀ ⡄⠀⡄⡇⠘⡄⠀⠀⠀⠀⢀⠊⠁⠀⠀⢠⡱⠕⠁⠀⣠⠁⢠⣇⠀⡇⠀⠀⠸⠀ ⠠⠇⠐⠘⡰⠱⠇⠀⠀⠀⢾⠀⣶⡶⠿⠛⢇⠀⢀⢴⠇⡠⢣⠰⢀⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠤⠒⠒⠉⠉⠑⢦⠀⣾⣿⠓⠀⠚⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠀⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠤⠐⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⣨⡶⠧⣿⡀⠀⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢊⡡⠴⠊⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠉⠀⠀⠹⣧⠀⢿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⡴⣻⠿⠿⠃⠀⠀⠀⢀⠔⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣦⡤⠴⠚⠁⠀⠀⠀⠀⢀⠤⢻⣇⢰⢡⣉⡉⠉⠉⠐⠢⣄⢀⢞⣴⡿⠚⠁⢀⣀⣶⢶⡫⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⢠⠞⢁⡴⢚⣿⣿⣤⣤⣉⣉⡙⠲⢦⣤⣿⠏⢁⣠⡴⢞⡋⠵⠚⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⢀⡔⢁⡴⠟⠉⠁⠀⡴⠋⠁⠀⠘⣿⠿⣦⡉⠻⣿⢿⠒⢉⣀⣀⣀⣶⢲⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⣤⣤⢔⣋⣤⡞⠁⠀⡄⠀⢸⠀⠀⠀⠀⠀⡿⠀⠈⣉⡆⠸⡆⢣⠀⠀⢸⠁⡔⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣉⣻⠛⢻⣿⡟⢀⠀⣼⠃⡴⡇⠀⠀⠀⠀⠀⡆⠀⡞⣡⣾⣦⡇⠘⡇⠀⢸⣴⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡿⠟⠛⠛⠻⢷⣾⡿⡇⢸⣸⣿⣰⣿⡇⠀⠀⠀⠀⣰⠀⣸⣿⣿⣿⣿⠇⠀⡟⠉⠁⠈⠉⠲⠄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠋⡤⠒⠉⠉⠐⢶⣿⣷⡅⣿⡿⢿⣿⣿⡇⠀⢀⣼⣴⣯⣾⠉⢧⣽⣿⠏⠀⠀⡇⠀⠀⠀⠀⢀⡤⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡎⠀⠀⠀⠀⠀⠀⢹⣿⣇⣿⡇⠈⠉⠛⢳⢀⣾⣿⣟⣡⣼⣤⡾⠛⡁⢀⠆⣸⠁⠀⢀⡠⠖⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⡀⠀⠀⠈⠉⠀⠈⠉⠽⣿⠟⠁⢀⣀⣾⠞⠋⣠⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡅⠀⡀⠀⠀⠀⠀⠀⣺⠟⣁⣴⣿⡿⠿⠿⠿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⢹⠀⠀⠀⠀⠀⠀⢀⡏⢻⡏⢿⢆⠈⠁⠀⣀⣴⡾⠟⢻⣿⣿⠿⠛⠓⠒⢦⡈⢻⣿⣷⠀⠀⡠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠞⡠⠂⢹⠀⢀⠀⢀⣠⠔⣿⡵⡾⢛⣦⣷⣏⣛⠛⡷⠋⣁⠼⠛⠁⠀⠀⠀⠀⠀⠀⠹⡄⣿⣿⣠⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠔⢁⡞⢁⣤⣾⠶⠾⠛⠓⠒⠚⠁⠀⠛⠛⠛⣿⣆⣼⡟⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⡟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠃⡠⠛⠉⠫⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⡼⡗⠀⠀⣠⠆⠀⠀⠀⠀⠀⠀⠀⣰⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠊⢀⠞⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣅⠙⣄⡴⠁⠀⠀⠀⠀⠀⠀⣠⠞⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠞⠁⢾⢿⡄⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⣠⠄⠀⠀⠀⠀⠀⠀⠈⠳⣌⠳⡀⠀⠀⠀⠀⣠⡞⠁⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⢠⠂⡞⠸⢧⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⢠⠞⠁⠀⠀⢀⣀⠠⠤⡀⠀⠀⠀⢳⠈⢦⣀⣠⡞⠉⡇⠀⠀⢠⠀⠑⣄⠀⠀⠀⠀⠀⠀⠀ ⢠⠃⡼⣇⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⢣⣴⢁⡠⠔⠂⠉⠀⠀⠀⠀⠈⠢⡀⠀⠀⢧⠀⠹⡼⠁⠀⢹⠀⠀⠀⢳⡀⠈⢦⡀⠀⠀⠀⠀⠀ ⠀⢰⠃⣸⡄⠀⠀⠀⠉⠒⠢⠤⣀⣀⣸⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⢸⠀⠀⢱⠀⡇⠈⡆⠀⠀⠀⠱⡄⠀⠑⢄⠀⠀⠀⠀ ⠀⡞⢀⣿⡜⠲⣄⡀⠀⠀⠀⠀⠀⠀⣿⠦⡀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠈⡆⢸⠀⠀⡌⡇⠃⠀⠸⡄⠀⠀⠀⠈⢦⡀⠈⠳⣄⠀⠀ ⠀⣧⡜⢻⣅⠀⠈⡏⢟⠑⣒⣲⣴⠿⣿⡄⠈⠓⠒⠀⠠⠀⠀⠈⡟⠢⢤⣀⡀⣳⣾⠀⢰⣧⡇⠠⠀⠀⢱⡀⠀⠀⠀⠀⠑⢼⡄⠈⢦⠀ ⠀⢹⣧⠈⣿⠀⠰⡇⠀⠉⠉⠉⡄⠀⢈⣿⣦⡀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⣠⢿⡿⠀⣼⣿⠇⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠈⢳⡀⠀⢧ ⠀⠈⡟⠀⢸⣀⠀⢳⠀⠀⠀⠀⠳⡤⠎⠀⠙⢿⣖⠤⣄⣀⣀⣀⣀⡠⠔⢛⠏⡼⠁⢼⣿⠏⠀⠀⠀⠀⢠⠀⢳⡀⠀⠀⠀⠀⠀⢱⡀⠀ ⠀⢠⠃⡀⠸⣿⠀⠈⡆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⡩⠋⠁⠀⠀⠀⢀⡎⣰⠁⣠⠞⠁⠀⠀⡖⠀⠀⢸⠀⠀⢳⠀⠀⠀⠀⠀⠀⡇⠀ ⡄⢸⠀⢧⠀⣿⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠀⣜⣰⡧⠞⠁⠀⠀⠀⣰⠃⠀⢀⣿⡄⠀⠈⡇⠀⠀⠀⠀⠠⠇⠀ ⢣⢸⠀⠘⣆⠸⡄⠀⡿⢀⣄⠀⠀⠀⠀⠀⠀⣐⠁⠀⣀⣀⣠⣤⣴⣾⣿⠁⠀⠀⠀⠀⢀⣼⡏⠀⢀⠞⡏⠁⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀ ⠈⠆⠇⠀⠈⠂⠹⣼⠃⠚⠋⠀⠀⠀⠀⠀⠈⠿⠀⠀⣿⣿⡿⠿⠛⠋⠉⢧⠀⠀⢀⣠⢞⡟⠀⡠⠋⠰⠁⠘⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠟⠛⠁⡀⢺⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠿⠛⠉⠀⢀⣠⠎⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⠋⠁⠀⠀⣀⠴⢫⡟⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⢀⣤⠞⠁⢠⠏⠀⢠⣾⣣⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠁⠀⠀⣴⠟⠁⢀⡴⠋⠀⣠⡟⠋⠉⠀⠀⠈⠉⠉⠛⠻⠶⢦⣤⣤⣤⣤⣤⣤⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⢀⡾⠁⠀⣠⠞⢁⣤⠾⣫⡴⠖⠒⠛⠛⠒⠒⠦⠤⢤⣄⡤⠆⠉⣉⣽⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⣼⣇⡴⣛⣵⠾⣯⠵⠿⠭⠤⠤⠤⠤⠤⠴⠖⠒⠚⠋⣁⣀⣤⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢀⡿⣥⣾⣿⠷⠶⠶⣿⣛⠛⠚⠒⠒⠲⠶⠶⠶⠶⠞⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠈⣼⢟⣏⣀⣀⣀⡀⠈⠙⢷⣶⠶⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡧⡜⠁⠀⠀⠉⠉⢿⣿⣷⡄⠈⣷⣶⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡿⠛⠁⠀⠀⣴⠛⣿⡖⠻⡿⠿⠆⣸⣿⢯⡀⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣴⡾⠛⠉⠀⠀⠀⠀⠐⠻⢤⣛⣛⣀⡇⠀⠀⠛⣿⡆⣹⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⣿⡍⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠉⠉⠔⠀⣊⡽⠿⣿⣿⣥⣤⣌⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡿⣿⡏⠀⠀⠄⠀⠀⠀⠀⠀⣠⠄⠠⢤⡤⢤⣤⠊⠁⠀⠀⠹⣾⣿⣿⣿⣇⠈⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⢇⡴⠀⠀⠀⠀⠀⢀⡼⢃⣴⡾⠿⠟⠷⢯⣀⠀⠀⠀⠀⠈⠙⡏⠁⢸⡄⢀⣹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⢸⠁⣿⣿⡤⠴⠦⠶⢤⣛⣳⢤⣄⣀⣀⣼⣃⣤⡞⢠⡘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⣿⢷⣄⠀⠀⠀⠀⠸⠈⠍⠀⠐⠒⠢⠤⠤⠀⠉⠙⠛⠻⠭⠧⠞⢹⠁⣸⣆⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⠿⣄⠙⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠤⣄⣀⣀⠀⠀⠀⠀⣠⣏⣴⡟⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⣯⠖⠈⠳⢦⡉⠛⠶⣤⣀⡀⠀⣀⠀⠀⠀⠀⠀⠈⠉⠉⣿⣷⣪⣥⡿⠿⣧⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠷⢶⣤⣄⡀⠀⠀ ⠀⢀⣴⡟⠁⠀⠀⠀⠈⠙⠲⣤⣈⠉⠛⠲⡟⠓⠒⠒⠒⠒⢶⠒⠒⢻⡟⠉⠀⠀⠀⢿⡀⠀⠀⣠⣤⣶⠾⡟⢉⠀⡧⠤⠍⠹⣿⡆⠀ ⢀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢶⣧⠀⠀⠀⠀⠀⢸⡆⠀⠀⣿⣀⣀⣀⣀⣸⣇⣴⠾⠛⢿⣇⣠⡿⠋⢠⠃⠀⠀⠈⣿⣄⠀ ⣼⡿⠀⠀⠀⢀⣠⣤⣄⣀⡀⠀⠀⠤⠤⣤⣹⣄⠀⣀⣠⠴⠞⠓⠒⠚⢋⣛⣿⣟⠛⠛⢿⣇⠀⠐⢤⣉⣁⣀⡴⠋⠀⠀⠀⠀⠁⢹⡆ ⣿⡇⠀⢀⡴⠟⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠈⠛⡻⣯⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣧⡀⠈⣿⠀⠀⠀⠈⠉⢁⡀⠀⠀⠀⠀⠀⠠⣾⡅ ⣿⠁⣴⠏⠀⠀⠀⠀⠀⠑⣄⠀⢣⠀⠱⡀⠀⠀⠘⣿⣧⢰⡄⡆⠀⠀⠀⠀⠀⠀⠙⢿⡄⣿⡄⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⣿⣾⡏⠀⠀⠀⠀⠀⠀⠀⠘⠆⠈⢧⠀⠹⡄⠀⠀⢹⣿⣾⣷⣁⡀⠀⠀⠀⠀⠀⠀⠘⣿⡌⠻⣦⣀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⣼⠃ ⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠈⢆⣤⣃⠀⠀⡿⠦⣉⠀⢉⡙⠲⢤⡀⠀⠀⠀⠀⢹⡇⠀⠈⠛⣿⠁⡤⠀⠀⠀⠀⠀⠀⢸⡟⠀ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⠋⠀⡼⠁⠀⠘⠳⣄⠑⢦⡀⠙⣦⡀⢀⠆⣾⠇⢀⣠⣴⡿⠚⠁⠀⠀⠀⠀⠀⠀⣸⡇⠀ ⠘⣿⡆⠀⠀⠑⠀⣀⠀⠀⠀⠀⠀⠀⠀⢃⠰⠊⠀⠀⠀⠀⠀⠈⠳⣄⣘⡄⢈⣧⡿⠾⢿⡿⠟⠋⠁⢀⠔⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀ ⠀⠘⣿⡜⣶⣄⡀⠀⠀⠀⠀⢀⣠⣴⠿⠛⠳⣄⠀⠀⠀⠀⠴⠒⠚⠛⢻⡿⠛⠁⠀⠀⠀⠀⠀⠀⡤⠂⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀ ⠀⠀⠸⣿⠝⠻⣽⣓⣒⣒⡒⠉⠑⠁⠀⠀⠀⠈⠳⡀⠀⠀⠀⠀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠊⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠹⣧⡀⠀⢫⡍⠉⠀⠀⠀⠀⠀⠀⠀⠢⣄⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀ ⠀⠀⠀⠀⢹⣿⣦⣤⣹⣦⡀⠀⠑⢄⠀⠀⠀⠀⠀⠙⠢⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣷⣌⠉⠛⢷⣄⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢻⣷⡒⠒⠙⡷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣶⣾⣃⣈⣙⣻⣶⣤⣤⣀⣀⣀⣀⣐⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢀⣤⣶⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⣟⣻⣿⣦⣀⡄⠀⠁⠀⣠⣾⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣿⣿⣿⣥⣶⠶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡴⣄⠀⡟⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠘⣄⣷⡘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡆⠉⠁⠀⠙⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⢷⠀⢠⡄⠐⡶⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⣤⡦⠀ ⠀⠀⠀⠀⠀⠀⠹⡘⡆⠀⣀⣀⣠⡆⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠳⣧⡀⠉⠛⠉⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣹⡿⠻⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣦⣤⣀⣠⠼⣅⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀ ⠀⠀⠀⢀⣀⠤⠴⢒⡽⢉⡿⠛⣽⣡⠴⠒⠋⢠⣤⡝⠉⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⢮⢉⣠⠔⠒⢫⣴⠋⢱⠀⠉⢠⠤⣸⡉⢻⡆⢹⣾⠃⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀ ⠀⢻⢰⡋⠹⡒⠒⠉⢻⣀⣸⡀⣏⠻⣦⡈⣿⣶⣿⣾⠛⡆⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠳⡘⢆⢳⠀⠀⠈⣻⢿⡿⢿⣷⢾⣿⠿⣏⠁⠊⢦⡇⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢾⣌⡷⢤⣀⣟⣻⡓⠴⠛⡆⠘⠓⣸⢶⣄⡼⠁⠀⠀⠀⠈⢿⣦⣤⣤⠾⠇ ⠀⠀⠀⠀⠈⠻⣄⣾⣿⣷⣿⡑⢒⡂⡌⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠾⠀⣿⣿⣷⣮⣍⣀⣀⣀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⣠⠔⠁⢀⡇⣿⣿⣿⣿⠛⠉⠙⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣤⠄⠀⠀ ⠀⢀⠎⠁⠀⡰⠋⣹⠞⠻⣿⠚⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣬⣿⡶⠶⠀ ⢀⣏⣀⡠⠞⢡⠞⠁⠀⠀⠘⣦⡄⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡉⠀⠈⠛⠀⠀ ⡎⠉⠀⣠⡔⠁⠀⠀⠀⠀⠀⢸⠀⠈⡆⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣆⡀⠀⠀⠀ ⠙⢆⠀⢏⠉⢦⠀⠀⠀⠀⠀⠘⣆⡄⠸⡄⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀ ⠀⠀⢳⡈⢢⠀⢇⠀⠀⠀⠀⠀⠹⣷⡀⠀⠘⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠱⣄⠁⠸⡄⠀⠀⠀⠀⠀⠘⢏⠓⢄⠀⢄⡈⠑⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢆⡀⢱⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠦⣌⡉⡀⠉⠲⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡠⠼⢣⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⣄⠈⠳⡀⠀⠀⠀⠀⠀ ⠀⠛⠛⠓⠒⠒⠚⠒⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢤⣔⣒⣉⣸⣆⣧⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢤⡀⠀⢠⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⢸⡇⢀⣿⡇⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠁⢀⡟⣷⠿⣿⣿⣟⣣⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⣸⡿⠻⠻⣯⠛⠻⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣳⣿⠿⠢⠤⠈⠀⠀⣨⣾⡿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⣀⣠⣏⡉⠈⢹⣌⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠢⠀⠀⠁⠀⣸⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣤⢤⡄⢀⣶⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡇⠸⠀⠸⣽⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠊⠑⠢⠠⠤⣄⣀⡤⠤⠏⢉⠓⠢⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠛⠁⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠈⢷⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⠀⠀⣰⠂⠀⠀⠀⠀⠋⠀⠀⠀⠀⡼⢠⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⢹⠿⡦⣴⣀⣠⠞⢛⠦⠤⠶⢞⢇⠀⢳⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⡎⢸⢣⡀⢀⣀⣠⣾⠲⢦⡀⢸⣿⡄⠠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠁⢀⣿⡰⠭⠓⠉⠉⠏⠀⢂⣉⡟⣿⡃⢀⠿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠹⣠⠾⣿⢻⠃⠀⠄⠀⢸⡦⠤⡏⡇⢸⠷⡟⠰⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⠀⠏⠠⣿⡀⠁⡙⢤⣀⣸⣧⠀⣻⣞⠘⡆⢧⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡇⠀⠀⢰⡿⠻⣄⢸⠀⠀⡝⠀⢠⣿⣿⡄⡇⠈⢣⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣠⡴⠚⠋⢙⡶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⣾⠁⠀⠈⢷⣶⣀⣇⣀⣷⠟⠀⠹⣿⡄⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣠⢴⠋⠁⢸⠀⠀⠀⢸⡇⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣇⠀⣸⠇⠀⠀⠀⠀⣳⣀⡉⣠⡏⠀⢀⣀⡻⣧⣴⣧⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠉⣯⠙⠲⡤⣀⠀⠀⠀⠀⠀ ⣴⡟⠀⣸⠀⠀⠸⡄⠀⠀⢈⣧⣀⢘⣆⠀⠀⠀⠀⠀⣀⣤⣾⣌⢻⣿⡖⠚⠛⠋⡉⣉⡉⣉⣉⣉⡉⠛⠛⢺⠷⣤⣼⣆⣀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⣹⠀⠀⡇⠈⠹⡦⣄⠀⠀ ⢹⡀⠀⢿⠀⠀⠀⣇⠀⠀⠀⢹⡽⠯⠛⣆⣠⠴⠒⠉⠁⣈⣿⣬⣩⣁⣿⣾⡍⠉⡟⠙⣏⣽⠟⠉⢙⢻⣿⠋⣀⣲⣼⣤⣈⡉⠓⠲⢤⣞⠀⠀⠀⠀⢀⡇⠀⠀⡇⠀⠀⡇⠈⡟⣆ ⠸⡇⠀⢸⡇⠀⠀⢹⡀⠀⠀⠈⢧⢰⠚⠉⢀⣀⠤⠖⠋⠉⠙⢯⣽⠿⠋⠙⠃⠐⡄⠀⢸⣿⠀⠀⠰⠎⠈⠓⢻⡟⠋⠀⠀⠉⠑⠲⡤⣈⡙⣲⠀⠀⡾⠀⠀⢸⠁⠀⢠⠃⢀⡇⢹ ⠀⣧⠀⠀⢳⠀⠀⠈⣧⠀⠀⠀⠘⡞⠶⠚⣏⠀⠀⠀⠀⠀⠀⠀⣿⡀⣇⢢⠆⠀⢹⠀⣿⣿⢠⠀⠀⢀⢪⠀⡼⠀⠀⠀⠀⠀⠀⢸⠁⠀⠉⠁⢀⡼⠃⠀⢀⡏⠀⠀⡞⠀⢸⠀⡾ ⠀⠹⣆⠀⠘⣧⡀⠀⠸⣆⠀⠀⠀⠸⡄⠀⠹⡄⠀⠀⠀⠀⠀⠀⠸⣷⣬⢿⡀⠀⣼⣴⠏⠙⣌⠀⠀⣼⢧⡼⠃⠀⠀⠀⠀⠀⢠⣯⠀⠀⠀⣠⡿⠁⠀⢀⡞⠀⠀⣼⠁⢀⠇⢠⠇ ⡄⠀⠹⡆⠀⠘⢷⠀⠀⠙⣆⠀⠀⠀⠹⡄⠀⣧⠀⠀⠀⠀⠀⠀⠀⢻⡏⠀⠙⢺⡿⠁⠀⠀⢸⡦⡤⠁⢈⡇⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⣴⠟⠁⠀⣠⠟⠀⠀⡼⠁⢀⡎⠀⡞⠀ ⠹⣄⠀⣹⣧⡀⢘⢷⣄⣀⢈⢷⣄⣀⠀⠙⢦⡼⠀⠀⠀⠀⠀⠀⠀⢸⡷⠀⠀⠘⢹⠂⠀⠀⣾⡇⠀⠀⢺⡗⠀⠀⠀⠀⠀⠀⠀⠻⣷⣚⢁⡀⣠⡞⠃⠀⣠⠞⠀⣠⠎⣀⡞⢀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠛⠛⠛⠳⠖⠆⠠⣄⣠⣤⠔⠉⠉⠙⠉⠑⠓⠒⠦⢤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢠⣿⣥⣶⠟⣿⣽⣿⠏ ⠀⣀⡄⠀⠀⢀⡠⠔⠛⠉⠉⠉⠉⢉⣩⡷⠟⡗⠀⠀⣀⣤⡴⠖⠛⠉⠀⠀⠀⠀⢀⠈⠀⠀⠀⠂⠀⠦⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⢀⡄⠁⣤⣤⣤⡄⣗⣛⣻⣿⣿⣆⣿⡄⣿⣦ ⠊⠉⢀⣠⠚⢉⣀⣀⣤⣴⣶⡶⠿⠟⠉⢀⣰⡷⠞⢋⣉⣠⣶⠀⠀⠀⠀⠀⠆⡤⢀⡠⠂⠀⠀⣰⢆⡰⢴⣦⡹⣆⠀⠀⠀⠀⢀⣴⢏⣀⣀⣬⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠘⠛⠛⠛⠋⠉⠉⠉⠁⠀⠀⣀⣤⡴⠟⣉⣀⣤⡾⠻⠽⡇⠀⠀⠀⠀⢀⡼⡱⠋⠀⠀⠀⣼⠃⠈⠇⠀⣠⡼⠟⢿⡷⣄⣠⡞⠁⠀⠉⠉⠛⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⣠⣾⠟⣋⣉⣵⣀⠀⠁⣤⠀⠀⠀⡾⠁⠀⣀⡔⠀⢐⣻⣤⣀⣀⣀⣿⣇⠀⠀⢿⡘⢻⡄⠀⠀⠀⠀⡀⠀⠉⠉⠉⠉⠉⠉⠛⣛⣛⣻⣿⣟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣿⣿⡏⠀⠉⠉⢉⣩⣭⠿⠟⢀⠀⠀⡇⡆⢸⠉⠕⠀⢿⣿⡿⠛⣽⣍⡙⣿⡆⢠⡀⠙⢧⠻⣆⠀⠀⠀⠐⠂⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣟⡿⠉⢷⠶⠞⠛⠉⠁⠀⠀⣠⠏⠋⢰⣷⣶⣿⠲⠶⠦⠄⠁⠀⠀⠈⢛⢿⣿⣿⡈⣿⠀⠈⠳⣞⢷⣄⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠏⣨⣷⠚⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⣜⠟⣠⠄⠀⠚⣉⠁⠀⠀⠀⠀⠀⠀⠩⣟⣷⡌⢷⡀⠀⠈⠑⠘⣷⣤⣀⣀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⣴⠿⠃⠀⠀⠀⠀⠀⠀⠀⠈⢇⠁⠀⠀⠈⣿⢧⡠⠀⠠⣍⠀⠀⢀⡀⠀⠀⠀⠈⠛⠛⣿⡿⢿⣦⣀⣀⣼⣿⣇⣤⢀⡄⢉⡀⢀⣀⠘⢿⣿⣿⣿⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⢉⣴⡾⠃⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠻⠀⠐⠀⠀⠈⠃⠙⠲⠤⢤⣀⠀⣀⠈⡁⠀⠀⠀⣀⡴⠛⠳⣤⡉⠙⠛⠛⠋⠉⣽⠋⣼⣿⣵⣿⠟⠀⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⢸⣤⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣤⣴⡾⠋⠀⠀⠀⠈⠻⣦⠀⠀⠀⠴⠀⠸⣿⠋⠈⠁⠀⣼⣿⣿⡏⣿⣷ ⠀⠀⠀⠀⣀⣴⣿⣟⠁⠀⠀⠀⣀⣤⠞⠛⠉⢙⡻⠆⠴⠒⠀⠀⠉⢿⣶⣷⣷⣶⣶⣶⣶⣶⣶⣾⣾⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠈⠻⠾⠿⠶⣤⣀⠈⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿ ⠀⣀⣤⣾⣿⠟⠙⣿⣷⣤⡶⠛⠋⠀⠀⠀⠀⡨⠖⠃⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢄⠀⠀⠀⠉⠻⣦⡀⠀⢸⡿⢋⣵⣿⣿⣿ ⣾⣿⠿⠿⠿⠿⠿⣿⣿⡟⠀⠀⠀⠀⡄⠀⠘⢦⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⢧⢀⠀⠀⠀⢻⣷⡀⠈⢠⣾⣿⣿⣿⣿ ⠉⠀⠀⠀⠀⠀⠀⠀⣿⡇⢠⡆⠀⢰⠃⠀⠀⠀⣨⡟⠑⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣖⠒⠂⠀⠀⠈⡧⠀⢀⣸⣿⣧⣴⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⣠⣿⣧⠀⢷⠀⢸⣷⣆⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⠲⣾⣯⣿⣾⠉⢠⣏⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣀⣴⠞⠉⠈⢻⣦⣸⣦⣼⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣤⣄⡿⣫⣸⣿⠏⢻⣿⣿⣿⣿⣿⣿ ⠀⠀⠐⠿⣿⣿⠀⠀⠀⠀⠉⢻⠙⢉⠿⠿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⡿⢿⡿⠿⡽⡿⠟⠁⠀⠀⠙⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢹⡿⠀⡀⠀⠀⠀⢈⣷⠋⠀⠀⢈⣿⣿⣷⣆⡀⠀⠀⠀⠀⡀⠀⠀⠀⣀⣼⣿⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡏⠀⠀⠁⠀⠀⠀⠀⠀⢀⠸⡀⣿⡏⠉⠉⠛ ⣆⠀⠀⠀⣼⣃⣼⠃⠀⠀⠀⣾⠋⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⠿⠛⠁⠀⠉⠛⠿⣿⣶⣷⣶⣶⣶⣶⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⡀⠀⠀⠀⢸⡆⠀⣿⣿⣄⠀⠀ ⡏⡀⠀⣰⣟⡟⠁⢦⠀⠀⡾⠁⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠁⠀⢀⢀⣀⠀⠀⢀⣀⠈⠙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠈⠁⠀⠀⣸⠃⢀⣿⣿⣿⣷⣔ ⠁⣴⡾⣿⡿⢰⠀⢨⣶⣿⣁⠀⢀⣴⣿⣿⠟⢿⣿⣿⣿⣿⣿⣿⠿⣶⣶⣶⡟⠉⠻⠿⠶⠛⠿⠿⠿⠿⠿⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⢀⠀⣀⣤⣆⣰⠋⠀⠘⣿⡟⢿⣿⡿ ⣿⠉⢸⣿⠀⣻⠀⠾⣻⣿⣯⣶⣿⣿⡿⠁⠀⠀⢠⣿⣿⣿⢻⣷⢠⣤⣀⠀⠀⣀⡀⠀⠀⠀⢀⣀⣀⣀⣤⡶⢛⡿⢫⣽⣿⣿⠟⠉⢿⣿⣿⣿⣿⣶⣾⡿⠇⠀⢸⠀⠻⣧⠀⠹⣿ ⣿⠀⣼⣿⠀⣿⠀⠀⠁⣿⣿⣿⡿⠋⠀⠀⠀⠀⢸⣿⣿⣿⢻⣿⣾⠿⠿⠿⠿⠿⠷⠶⠶⠿⠿⠟⠛⠛⠋⢀⣫⣶⣿⣿⣿⣿⠀⠀⠀⠹⣿⣿⣿⣿⣿⡃⠲⠀⢈⡇⢠⣿⣇⡀⠈ ⣿⣶⣸⠟⡇⠘⡆⠀⠀⠘⣿⣿⡅⠀⠀⠀⠀⠀⢸⣿⢿⣿⣦⣿⡿⣶⣤⣀⠀⣀⣀⠀⠀⠀⠀⢀⣠⣴⣾⣿⡿⣋⡴⠟⠁⣿⠀⠀⠀⠀⢈⣿⣿⣿⡿⢃⠀⠀⢸⣆⣿⣿⣿⣿⣶ ⣿⢿⣿⠀⢹⣄⡁⠀⢠⠀⢘⣿⡀⡀⠀⠀⠀⠀⢸⣿⢞⠏⠙⣿⣿⣦⣍⠙⠿⢶⣯⣍⣤⣶⣾⣿⠿⠿⠛⣡⠟⠉⠀⢀⣾⣿⠀⠀⢀⣴⣿⡿⣿⣿⠃⢸⠀⠠⡿⠋⡿⣿⡎⢙⣿ ⠋⢸⣯⠀⠈⣿⡅⠀⡼⠀⢢⣿⣧⠃⠀⠀⠀⠀⢠⣿⣯⣷⠀⠈⢿⠙⠿⠿⠋⠉⠀⠶⠶⠆⠀⠀⠀⢀⣾⠋⠀⣀⣤⣾⣿⣿⣤⣶⣿⠟⠁⠀⣿⡏⠀⠘⠀⠀⣴⣦⢀⣿⣿⠈⣡ ⠀⢸⣿⠀⠀⠈⠓⠚⠃⢠⣿⢽⣿⠀⠀⢀⣤⣴⣾⣿⣿⣿⣿⣤⣸⣦⣄⠠⣀⣀⣐⣂⣒⣦⣀⣤⣤⠾⢿⡶⠟⠛⠛⠛⣻⣿⣿⣿⠁⠀⠀⢸⣿⢧⠀⠀⢠⣴⣿⠇⠀⣿⣿⣾⣿ ⡆⠀⣿⣷⡄⣿⠀⠀⢠⣯⣿⡟⠁⠀⢠⣾⣿⡿⢻⣿⣿⣿⣟⠛⠛⠛⠛⠛⠉⣽⣋⠉⠁⠀⠀⠀⠹⣶⣿⣳⣦⣄⣠⣾⣿⣿⣿⣿⠀⠀⠀⠈⣿⣎⢧⡀⠀⠈⠁⠄⠰⣿⣿⣿⣿ ⣿⣦⣼⣿⣇⠛⢳⡄⣼⡿⢿⡁⢠⡄⣿⣿⣿⠇⣼⣿⣿⣿⣯⣄⣀⡐⠐⠂⠰⢾⣻⣅⣤⣄⣤⣄⣴⣿⣿⠿⣛⣻⣍⣽⡏⢛⣿⡏⠀⠀⠀⠀⢸⣇⣸⡆⠀⠀⠀⠀⣼⣿⣿⣿⣿ ⠈⠉⠛⣿⣛⣧⣴⣿⡿⢷⣾⣯⣿⡇⣿⣿⡟⢸⣿⣎⣉⡙⠛⠛⠽⠿⠿⣿⣷⣿⣿⣶⣦⣶⣶⣿⣾⣿⣿⠟⠿⠛⢛⣁⣠⣤⣿⣇⣠⣴⣶⣾⣿⣿⢟⡱⡄⡠⠀⢰⣿⣿⣿⡟⠻ ⠀⠀⠀⢻⡏⣿⣿⡷⠾⠿⣿⣿⣿⠇⣿⣿⣯⣿⣿⣿⣟⣛⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⢿⣿⡟⣛⡛⠭⠾⠁⢸⣿⠿⠟⠛⠉⠹⣷⣾⡷⢿⣥⣜⣙⡛⠙⣿⡇⠀ ⠀⠀⠀⠈⣷⣻⡿⢧⠀⠀⠈⠉⠙⠻⢿⣿⢛⠌⡯⠌⠛⠯⢟⡿⠿⣼⣿⣳⣶⠿⣿⣿⠀⢉⣿⠿⢿⡗⠾⢏⠁⠀⠀⠀⠀⠀⠀⣻⡀⠀⣀⣀⣼⣿⡿⠷⢶⣿⡟⢨⣧⠀⢻⣿⡄
⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣠⣖⡛⠛⠛⠒⠂⣠⣤⠤⠂⠉⠉⠉⠀⠒⠒⠦⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣶⠛⣿⢿⡏ ⠠⠆⠀⠠⠔⠈⢁⣀⣀⣤⡴⠟⠉⣧⡤⠴⢒⣉⠁⠀⠀⢀⠀⠀⢀⠀⠀⢀⠈⣀⡘⣆⠀⠀⠀⠀⢀⡔⠀⢺⣿⣿⣼⣿⣿⣿⣿⣿⣾⣷ ⠀⠐⠾⠒⠒⠛⠛⠉⠉⢁⣀⡴⢛⣁⣤⣽⣿⠇⠀⠀⠀⢀⣮⠞⠁⠀⣰⠋⠃⠈⢩⡿⢶⣦⣀⣴⠋⠘⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣁⣴⡟⢩⣽⣄⣀⣠⡄⠀⢀⠏⠀⣠⠂⢀⣿⣤⣤⣤⣿⡄⠀⠳⣙⣧⠀⠀⠀⠀⠀⠈⠉⣉⣉⣉⣻⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⢿⣀⣠⡤⠴⠚⠋⢡⠄⢨⣛⣸⣀⣁⠘⠿⠋⠹⢷⣼⣿⡐⣦⠈⢿⣷⣄⠀⠀⠐⠒⠟⠿⢿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢀⡾⢛⡧⠊⠉⠀⠀⠀⠀⢠⠃⠀⡸⢟⡉⠀⢞⡃⠀⠀⠀⠀⠙⢻⣷⡙⣄⠀⠙⠋⢷⣄⣀⠀⠀⠀⠀⠉⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢰⠋⣠⠟⠁⠀⠀⠀⠀⠀⠈⡆⠀⠀⠙⣿⣄⠀⠨⠁⠀⠀⠀⠀⠀⠘⠛⣿⡟⢧⣤⣤⣾⣧⣄⡀⣉⡀⣠⡀⢿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⢀⡴⠋⢡⠀⠀⠀⠀⠀⠉⠀⠂⠀⠀⠀⠀⢀⣤⠞⠉⠙⢦⡈⠉⠁⢀⠋⣰⡿⠻⠟⢀⣿⣿⣿⣿ ⠀⠀⠀⢀⣴⣾⠋⠀⠀⠀⣠⠴⠖⠲⡯⢠⠤⠈⠙⢿⣵⣤⣤⣤⣤⣤⣤⣤⣶⡿⠟⠁⠀⠀⠀⠀⠹⠦⠶⢤⣀⠘⠃⠀⠀⣼⣿⣿⣾⣿ ⢀⣠⣶⣿⠋⢻⣷⣤⠖⠋⠁⠀⠀⡼⠛⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⡄⡄⠀⠈⠙⢦⡀⠀⡿⢋⣽⣿⣿ ⠿⠛⠛⠛⠛⠛⣿⠇⢀⠀⢠⠀⠀⠓⢤⣄⡠⠀⠀⠀⠀⠀⠈⠻⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⡀⠀⠘⣿⡀⣠⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢀⣾⡆⢹⠀⢸⣤⢠⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢤⣤⣶⣤⠃⣠⣺⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣠⡴⠋⠉⢿⣌⣧⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣧⣴⢿⣽⡿⠛⢿⣿⣿⣿⣿ ⠀⠀⠙⢿⡇⠀⠀⠀⠈⢏⡸⠛⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠛⠟⠛⠛⠋⠀⠀⡈⣿⡿⠿⣿ ⡄⠀⠀⣸⠃⡖⠀⠀⢠⡟⠀⠀⢰⣿⣿⣿⣶⣦⣤⣴⣶⣤⣴⠾⠋⠙⠿⣶⣤⣤⣤⣄⣠⣴⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⣦⠁⣿⣇⠀⠀ ⡇⠀⣠⣿⠏⢠⡀⢠⠎⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⢁⡀⣀⢀⠀⣀⣉⣙⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⡟⠀⣿⣿⣷⣤ ⣠⠾⣿⠏⡆⢀⣿⣿⡄⣠⣾⡿⠋⠙⢿⣿⣿⣿⡟⠻⠷⠚⠁⠙⠛⠉⠙⠛⠛⠛⢉⣻⣿⣿⣿⣿⣿⣿⣷⣤⣤⣴⣦⡜⠁⠀⣿⡟⢿⣿ ⣇⢀⣿⠀⡇⠈⠙⣿⣿⣿⠟⠁⠀⠀⣸⣿⣿⣿⣿⣿⣶⣤⣶⣦⣤⣤⣴⡶⠶⠞⠋⣟⣴⣿⣿⡏⠀⠙⣿⣿⣿⣿⣿⠁⠀⣇⢈⣧⠀⠙ ⣿⣾⡿⡆⠳⠀⠀⠻⣿⡇⠀⠀⠀⠀⣽⣿⣿⣮⣿⢷⣄⡀⢀⣀⡀⠀⠀⣀⣤⣶⣾⢟⡽⠟⢹⡇⠀⠀⠈⣿⣿⣿⠟⠀⢀⣧⣾⣿⣿⣦ ⡿⣿⠇⢹⣤⠀⢠⠀⢽⣇⠀⠀⠀⠀⢻⣏⡏⠙⣿⣷⣭⣙⣿⠿⣵⠶⠿⠟⠛⢋⡽⠋⠀⣠⣿⡇⢀⣴⣾⠿⣿⡏⠀⠀⠘⠋⠛⣿⡈⠿ ⠀⣿⡀⠀⠻⠤⠎⢠⣞⣿⠀⠀⢀⣀⣼⣿⣷⣄⠘⣄⠉⠁⠀⠀⠉⣁⠀⢀⣰⣿⣤⣴⠾⠿⣿⣿⣿⠋⠀⢠⣿⡅⠀⢀⣰⡿⠀⣿⣧⣾ ⡄⢸⣧⡀⡆⠀⢠⣿⣿⠋⠀⣰⣿⣿⣿⣿⣿⡟⠛⠻⠷⠛⢻⡛⠉⠉⠉⠙⣷⣾⣶⣀⣀⣴⣿⣿⣿⠀⠀⠈⣿⡷⡀⠈⠉⠁⠀⣿⣿⣿ ⠿⣶⣿⣧⠛⢦⣼⣟⣧⣠⡔⣿⣿⢃⡿⠿⣿⣷⣤⣄⣀⣀⣺⣿⠤⠤⠤⣤⣿⣿⣿⣿⣯⡿⠋⢻⡇⠀⠀⢀⣸⣧⣧⠀⠀⠀⣼⣿⣿⣿ ⠀⠀⢹⡾⣷⣿⣫⣿⣿⣿⡷⣿⣏⣼⣿⣶⣦⣤⣀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣥⣤⣶⡾⠻⣷⣾⡿⠿⢿⣛⣿⣷⣃⡤⡿⢿⡏⠈ ⠀⠀⠈⣧⣿⠿⠀⠈⠉⠛⠾⣿⠟⠛⡏⠛⢿⡻⠿⣽⣿⣿⠿⣿⣿⠙⣿⠿⣿⠻⠟⠁⠁⠀⠀⠀⣿⠀⢀⣀⣾⣿⠷⣼⣿⠋⣧⠈⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠛⢉⡠⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⣀⠔⡹⠁⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡞⠀⢠⠞⢁⠔⢁⡼⠋⣉⡉⠉⠓⠲⠤⢤⣤⣤⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⢠⣃⣴⡡⣶⣿⣊⡁⠀⠠⠭⠥⠒⣁⡠⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⢘⣴⠟⠒⠛⢿⣉⣉⡙⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣦⠊⠈⣉⣻⣷⣄⢩⣾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⡴⠛⠁⠀⠸⣉⡷⢹⠉⠸⣿⢂⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⢀⣀⠀⡠⠙⠻⣿⣶⣌⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⣟⡄⠀⠀⠀⡰⣡⠾⠟⠫⣄⠀⠀⠉⡛⠉⡆⣸⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⢧⠀⠀⠀⠇⠛⠁⠍⠁⠚⠛⠶⢲⠳⡞⢰⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣟⠢⣑⠦⣀⠀⠀⠀⠀⠀⠂⠤⢤⣄⣴⣷⡏⠋⠀⠀⠀⠀⣠⣀⡀⠀⠀ ⠀⢀⡞⠁⠀⠈⠓⠬⣉⠒⡖⠒⠒⠒⡖⠚⡟⠉⠁⢻⠀⣀⣤⠶⣛⢁⠬⠝⣷⠀ ⢀⡟⠀⠀⣀⣀⡀⠀⢀⣉⣳⠀⢀⡠⠧⠤⢞⢶⡶⠾⣾⠁⢝⠒⢁⠜⠀⠀⠛⡆ ⢸⠇⡠⠚⠀⠀⢈⠳⠀⡀⠀⠹⣧⢀⠀⠀⠀⠉⠻⣄⢹⠀⠀⠀⡠⠀⠀⠀⠐⡧ ⢸⣾⠁⠀⠀⠀⠈⠂⠣⠈⠄⠀⡻⢾⢆⣀⠀⠀⠀⠘⣎⠳⣄⡰⠂⠀⠀⠀⢀⡇ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⢰⠆⢠⠋⠲⢄⠊⡑⢆⠀⡄⡟⢀⣸⠧⠂⠀⠀⠀⢸⠀ ⠀⢻⣤⣀⠀⠀⠀⠀⢀⡨⢄⠁⠀⠀⣀⠱⣼⡠⠟⠚⠟⠉⢁⠀⠀⠀⠀⠀⣼⠀ ⠀⠀⢻⠟⢷⣒⡒⠊⠋⠀⠀⠑⡀⠀⠀⠄⠊⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢀⡏⠀ ⠀⠀⠈⢷⣄⣱⡀⠀⢄⠀⠀⠑⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀ ⠀⠀⠀⠈⠳⣌⣙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀ ⠀⠀⠀⠀⠀⢹⣶⣶⣉⣳⣦⣤⣄⣀⣀⣤⣀⠀⠀⠀⠀⢀⣀⡴⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣷⣂⡤⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢻⠋⠲⡀⠱⡄⠀⠀⠀⠀⠀⠀⢠⠏⣠⠟⠓⠦⡤⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠈⢦⠘⣆⠀⠀⠀⠀⠀⠘⠀⡏⠀⠀⢠⢧⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠈⣧⢹⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⣾⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡿⣦⡀⠀⠀⢸⡜⣦⣖⡖⠫⠵⣁⠘⠧⣀⠜⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢺⠃⠉⠻⣦⣄⡸⠗⣁⢼⠁⠀⡀⠈⠳⡀⠈⠒⡪⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠟⠀⢠⡾⠁⠀⡰⠾⢅⠀⠀⠀⠈⠢⡀⠘⣄⠀⠈⢢⡈⠺⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡴⠋⠀⢠⡿⠀⣠⡞⠀⠀⠀⠀⢤⡀⠀⠀⠙⠄⠘⡖⡄⠀⠙⢄⠀⠈⢉⣉⣩⠕⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠞⠁⠀⢀⣿⠁⢰⠟⠀⠀⠀⠀⢸⠻⣾⣦⠀⠀⠀⠀⣹⡈⢦⠀⠈⢯⠉⠥⣄⠠⠭⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠶⠖⠁⠀⠀⠀⣼⢇⡰⠋⠀⡀⠀⡾⠀⣾⢐⣻⣩⢷⣦⠀⠀⠹⡇⠈⣆⡇⠈⣇⠀⠈⠉⠒⠒⠒⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡤⢊⡴⠋⢠⡆⠀⡇⢠⡇⠀⣿⠉⠀⠀⠈⢻⣧⡀⠀⣿⠶⣾⣷⡤⢸⡍⢒⣴⢖⡚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠨⠥⠴⢯⠖⢊⣽⠀⠀⡇⠸⡇⢀⣿⠀⢀⡠⠔⠋⢻⣧⣠⣼⣿⣿⣿⣿⣮⣇⠀⠢⣉⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠴⠋⠀⡼⠃⠀⡠⣯⡄⣧⢸⣿⣯⣭⣤⣤⣄⠀⣿⣿⣿⡟⠉⠋⣿⣯⣿⡖⠒⠚⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠋⠀⢀⡔⢁⡠⡖⠁⣿⣧⠙⠘⣿⠟⠛⠉⠁⠀⠀⢹⡏⢿⠃⠀⠀⣿⣿⣜⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡀⢷⣄⠀⠀⠀ ⠀⠀⠀⠀⠐⣿⣻⡷⠂⡇⢠⣿⣿⣧⠠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⣿⡏⠳⡇⠀⠀⠀⠀⠀⠀⠀⠀⣤⣙⡭⡒⣧⢱⡀⠀ ⠀⠀⠀⠀⢰⡿⣿⠁⡟⣧⢸⠘⣿⣿⣷⣪⣷⡀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣬⠷⣌⠻⠌⢧⣷⠀ ⠀⠀⠀⠀⠘⡇⠻⢠⡇⠘⣿⠀⠘⣿⣇⢿⢿⣯⢷⡲⠤⢤⣀⣀⣠⢿⠿⣿⡃⣿⠟⣍⠉⠑⠢⣄⠀⠀⠀⠀⠀⠀⠙⢌⠑⠀⠀⠈⡆ ⠀⠀⠀⠀⠀⠁⠀⣸⣡⠞⢹⡆⡴⠙⣟⠞⡆⢹⣦⠉⠑⠲⠤⠭⠽⠏⣠⠻⣇⣿⠀⠈⠣⡀⠀⠈⣆⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠙ ⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠈⣿⠥⠒⠻⡆⢹⡄⢷⠀⠀⠀⢀⠤⣼⣿⣿⣁⣈⣿⢖⠀⠀⠈⠢⡀⢸⡄⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠳⠤⠤⠤⢿⡀⢷⢸⡧⣄⡀⠙⢤⣴⣿⠍⠀⠉⠁⠀⠙⠦⣀⠀⠈⠪⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰ ⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⢸⡷⡄⠸⡇⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⡀⠙⡄⠀⠀⠀⢀⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⡇⠹⣼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⠹⡄⠀⢠⠞⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡋⠀⠀⠀⠀⠀⠀⣀⡈⣷⠀⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⠒⠚⢣⣷⣜⠁⠀⠀⠉⢒⡞⠀⠀ ⠀⠀⠀⠀⠀⢠⠏⠣⣄⡀⠀⠀⢀⣼⠃⠙⢺⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢠⡖⠢⣷⠈⠳⣄⠀⠀⡼⠁⠀⠈ ⠀⠀⠀⠀⢀⡞⠀⠀⠀⠉⠉⣹⡿⣿⠀⠀⢻⠀⠀⢸⡇⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⢸⠇⠀⢸⡇⠀⠻⡳⣞⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⡄⠀⠀⠀⠀⢀⡾⠁⠸⡆⠀⡿⠀⠀⢈⡷⠃⠈⠉⠒⠦⣄⠀⠀⠀⠀⠀⠀⠀⢸⠁⣸⠀⠀⡾⢳⡀⠀⠙⣎⠳⡄⠀⠀ ⠀⠀⠀⡼⠀⠳⣄⡀⣀⣰⡟⠀⠀⠀⠹⣄⡇⢀⠀⠈⡇⡠⠒⠢⢄⠀⠀⠙⠢⣄⠀⠀⠀⢠⡏⠀⡏⠀⣴⡇⠀⢱⣤⠀⠈⣧⢹⡄⠀ ⠀⠀⣼⠁⠈⠉⠉⠉⠙⠾⣄⠀⠀⠀⠀⢸⠧⣼⡆⢔⢿⠀⠀⠀⠀⠙⠢⣄⠀⠀⠙⠢⢤⠞⠀⣸⡥⠴⣿⣇⡴⠋⢹⣄⠀⠸⡆⡇⠀ ⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⢸⠀⢹⠱⡘⠞⣇⠀⠀⢀⠀⢀⣠⠽⠲⢤⣀⠀⢀⡰⠃⠀⢰⣿⡇⠀⠀⢸⠹⡄⠀⢸⡇⠀ ⠀⠀⢿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⢸⠀⠸⡆⠣⠀⠹⡍⠉⠉⠉⠉⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⢸⣿⡇⠀⠀⣸⠀⣧⠀⢸⠁⠀ ⠀⠀⠀⠻⣅⡀⠀⠀⠀⠀⢀⠔⠉⠀⠉⠻⣧⠀⢷⠀⠀⠀⠙⢆⠀⠐⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠳⡀⢠⣇⡴⢻⢀⡇⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠒⠢⣤⠾⠀⠀⢀⣀⡠⣧⠑⢌⢧⡀⠀⠀⠈⠳⡄⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⠛⠯⣀⡀⠸⠚⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣣⣴⣶⠗⠛⢻⡀⠘⡆⠈⢦⠱⣄⡀⠀⠀⠈⢲⣄⡘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⡀⠈⣕⢦⣀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡧⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠉⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠟⠀⣤⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⢀⡾⣸⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⣾⢠⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⡇⣞⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣠⣄⡀⣰⠟⠉⠈⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠀⠿⠙⠉⠉⠉⠙⠻⠶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠋⠁⠄⠙⠇⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣾⣄⡸⣧⠀⠀⠀⠀⣼⡟⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢏⣉⡉⠙⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠿⣷⣬⣙⠆⠀⣰⡟⠀⠈⠉⠓⢤⡀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡇⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⢷⣼⡟⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⣴⠖⠲⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣄⠀⣸⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⣧⠀⠀⠀⠀⠀⢸⡁⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠈⠛⠛⠋⠀⢀⣠⣴⠶⠟⠛⠛⠛⢷⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⡄⠀⠀⠀⠀⠈⠳⠤⠤⠞⠁⠀⠀⠀⣠⣤⣤⣄⠀⣸⠏⠀⠀⠀⠀⢸⡟⠁⡄⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⠶⢶⣖⠒⠒⠒⠶⢿⣍⡉⢿⣄⠀⠀⠀⠀⠀⠀⠀⣀⠀⣦⣤⡀⠉⠀⠀⠉⣴⠏⠀⠀⠀⠀⠀⢸⣇⡞⠁⠀⢀⡀⠀⠀⠀⠀⠙⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⠞⠋⢡⡤⠤⢤⣄⠉⠉⠑⠲⣤⣐⠀⠉⠛⠻⣷⣶⣶⣀⡀⠀⠀⢻⡶⣷⠭⠇⠀⠀⣠⣾⣯⣤⣄⣀⡀⠀⠀⠀⠙⢻⣦⣀⣨⣿⠀⠀⠀⠀⠀⢹⣆⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⠀⠀⠻⠶⠶⠶⠛⣀⣀⣤⠶⠦⣍⡳⣆⠀⠀⠈⠻⣟⢛⣿⢶⣶⠸⠷⣧⣠⣶⢶⢻⠟⠉⠁⠀⠉⠉⠻⣷⣄⣀⣀⣀⣹⣋⣹⡿⠀⠀⠀⠀⠀⠀⢿⡄⠀ ⠀⠀⠀⠀⠀⣴⡿⢷⣤⡆⠀⠀⠀⠀⠀⠻⣤⠀⠀⠀⠹⣏⢳⡀⠀⠀⠈⡋⠛⠦⢬⣓⠚⢛⣟⣁⠴⠛⢷⣤⡀⠀⠀⠀⠀⢈⡿⠛⠉⠀⠈⠙⠻⣇⠀⠀⠀⠀⠀⠀⠈⣷⠀ ⠀⠀⠀⢠⣾⠏⠀⣰⠏⠀⣠⠞⠛⣶⠀⠀⣈⣛⠓⠲⠴⠇⠀⢳⠀⠀⠀⣧⠀⠀⠀⠈⠻⡏⢸⠁⠀⠀⠴⠃⠳⣄⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⢹⡇ ⠀⠀⢀⣾⠃⠀⢠⡏⠀⢸⡇⠀⢀⡟⢀⡞⠉⠉⠳⣆⣀⣀⡀⢸⣧⠀⠀⢸⣧⣀⠀⠀⠀⠉⠳⡀⠀⠀⠀⠀⠀⠘⢧⣸⢣⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⢦⠀⠀⠀⠀⠀⠈⡇ ⠀⠀⣼⡇⠀⠀⢸⡇⠀⠘⣧⣢⠞⢀⡏⠀⠀⠀⠀⠸⡍⠈⠙⢿⢿⡀⠀⣸⠁⠉⠓⠄⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠈⢧⠈⢷⡀⠀⠀⠀⠀⠀⠀⣰⡆⠀⠀⠀⠀⠀⠀⠀⣇ ⠀⠀⣿⡇⠀⠀⠘⣧⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⢰⠇⠀⠀⢸⡇⢇⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠸⣇⢀⣳⣤⣀⣀⣀⡠⢶⣋⣙⢦⣀⣀⡀⠀⠀⠀⢻ ⠀⠀⢹⣇⠀⠀⠀⠘⠷⢤⣀⣤⠼⠋⢧⣄⣀⣀⣴⣏⣀⠀⠀⢸⡷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⢹⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣈⣁⣀⡤⠴⠋ ⠀⠀⠈⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠈⠉⢻⣿⣿⣷⡀⣄⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⡿⣇⠀⠀⠀⠀⢠⣿⣀⣀⣀⣀⣀⣀⣠⣤⡶⠾⠛⠋⠉⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠹⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠅⠉⠉⠿⣮⣄⡀⠀⠀⠀⠀⠀⠀⢠⣴⠗⠛⠷⣤⡤⠴⣿⡇⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣷⣦⣀⠀⠀⠀⠀⡀⠀⠀⢀⣠⣾⢿⡿⣦⣠⡀⠀⠀⠈⠉⠑⠶⠶⠒⣲⠋⠉⠁⠀⣶⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢷⣤⣤⣼⠶⠶⣿⣟⠉⠀⠙⢿⣄⡙⠿⡄⠀⠀⢀⡠⠴⠖⠋⠁⠀⠀⠀⢀⡏⠀⣀⣠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠙⢻⣀⠁⢠⠔⠃⠀⣀⠀⠀⠀⠀⠀⣠⣞⣀⡤⢼⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⣿⠻⠀⠀⠀⠀⠰⢯⠀⠀⠀⠈⠉⠁⠀⠀⡴⠁⠈⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣼⣿⠖⠀⠀⠀⠀⠀⢸⣀⠀⠀⠀⠀⠀⠀⡸⠁⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠟⠉⣠⡾⠉⠉⠳⣄⡀⠀⠀⠀⠀⠈⠢⠶⠶⠖⠂⢠⠗⠒⠀⠀⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠯⠀⣰⡏⠀⠀⠀⠀⠀⠙⠳⠦⢤⣀⣀⣀⡀⠀⠀⠠⢋⣀⡤⠴⠾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠙⠛⠛⠛⠛⠛⠓⠒⠆⢀⠀⠀⠉⠉⠉⠉⠉⠉⠉⢁⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠤⢄⠀⠀⠀⠀⠀⠀⠀⠀⠊⠁⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣆⠀⠀⠀⠀⠀⠀⠀⠀⢀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡆⠀⠀⠀⠀⠀⠀⢠⡏⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡿⠤⠀⠤⠤⣀⠀⣾⢣⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡷⠀⠀⠀⠀⠀⠀⠻⣳⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⠙⠲⠤⠀⠀⣾⠛⠀⣀⣽⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢶⣤⣤⣄⣀⣤⣴⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠋⢁⣾⡟⢙⣿⣿⣿⣿⣷⡠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠿⢦⣌⣿⣿⣾⣿⣿⣿⣶⣈⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠈⠙⠻⢿⣿⣿⣿⡏⢀⡀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⡟⠀⠀⠀⠀⠀⢻⣿⣿⣿⠀⠙⠈⣷⢠⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⢈⣠⡿⠁⢰⡀⠀⠀⠀⠈⡿⢻⣿⣿⣦⣤⣿⣶⣵⣆⡀⠙⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢾⠀⠠⣞⣀⣴⣿⣿⡗⣴⣿⣭⡳⡄⢀⣼⣇⣾⣿⣿⣿⣿⣿⣷⣭⣉⣡⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣧⡾⠋⢁⣶⢿⣿⣾⣿⠿⠻⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠉⢩⣿⣿⡿⢻⣇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠅⡸⠁⠀⢸⣿⣿⣿⣿⡇⠀⠀⢹⣿⣿⠹⣯⢿⣿⣏⠀⠀⠀⣾⠏⣸⣧⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⢰⠃⠀⠀⢸⣿⣿⣿⡿⠖⠃⣀⡼⠛⣿⡄⠙⣆⠹⢿⣦⡀⣸⡏⣰⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⠀⠀⣰⢿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠈⣿⠀⠈⢧⣀⠽⣿⣿⣷⡿⠟⠁⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⢿⡷⣤⢡⣼⣿⠟⠻⣄⠀⠀⠀⠀⠀⢰⣿⠀⠀⢀⣿⠞⠛⠛⢿⠀⠀⠀⣼⡿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠃⢀⡇⢸⣿⣿⣿⠀⠀⠈⠲⢤⣤⣤⣶⣿⣿⣶⡿⠟⠀⠀⠀⠀⠘⢷⠴⣾⢿⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⡀⡼⠀⣾⣿⣿⣿⠇⠀⠀⠀⠀⠙⠢⣼⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣥⣦⣄⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣷⠃⢰⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⣦⣤⣤⣤⣴⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡏⢀⡾⢱⡿⠃⠀⠀⠀⠀⠀⢀⡤⠂⠉⠉⣹⠟⠻⣦⣴⣾⣿⣿⣿⣿⣿⣿⣿⣯⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣇⡞⢠⣿⠁⠀⠀⠀⠀⡴⠒⠋⠀⣀⣴⣟⣡⣤⣤⣾⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠒⠛⠳⢤⣄⡀⠀⣄⡀⠀⠀⠀ ⠀⠀⠀⠜⠙⣠⣿⡇⠀⠀⠀⢀⠎⠀⣀⣠⣾⡟⠋⠁⠀⠀⠈⢿⣿⣿⡿⢿⠯⠥⢤⠶⠖⠒⠒⠛⠛⠓⠲⠧⠤⣤⣽⣷⣶⣤ ⣀⣀⣀⣀⣲⣿⣿⠇⠀⠀⢠⡁⠀⢀⣿⠛⠛⠻⠶⢶⣶⣿⣛⣛⣉⣉⣹⣶⣾⣶⡆⠈⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠙⠀⠻⠿⣷⣶⣤⣤⣤⠴⢶⣟⣉⣩⣥⣤⣦⣩⣿⣿⣦⠀⠳⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠻⢿⣷⣦⣄⣀⠿⣶⠆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠓⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡄⠀⢰⠟⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⡄⠘⣇⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢿⡤⠿⠆⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣧⠀⠀⠀⠀⠀⠉⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⣿⠀⠀⢀⠀⠀⣤⡄⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⢀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⢹⡀⠐⢻⠃⠀⠙⢁⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⠟⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡈⡇⠀⢠⣄⣀⣠⣾⠇⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣿⣧⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡹⡀⠀⠙⠛⠛⠁⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢋⣿⠟⠿⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢽⣦⣀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡿⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⢽⣻⣯⠴⣶⠛⠉⠙⢦⡤⠖⠒⠶⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⡤⠶⠒⠋⣩⠾⢋⣡⠟⠉⢰⣧⠴⠛⠉⠉⠀⣴⠶⢶⠋⠀⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⢾⣉⠀⣀⡴⠶⠚⢛⣠⡟⠉⢻⠂⠀⠀⢠⢤⣀⣏⠙⢿⡇⠈⢷⢺⠋⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢯⡆⣼⠞⢿⡤⠤⠴⠚⢿⠀⠀⢸⠀⣖⠲⢾⢠⡈⢿⣧⣬⣷⣤⣿⠿⡄⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣧⠛⢦⠀⢧⠀⠀⠀⠘⢧⣲⣾⣧⣙⣦⡈⢻⣷⣼⣿⣿⡽⠛⣦⠀⣷⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢳⡈⢣⠈⣆⠀⠀⠀⢨⡟⢳⡟⠛⠯⣟⠻⢿⡋⠛⣇⠀⠋⠈⢧⡟⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢾⣇⣸⠶⢤⣀⣸⣋⣻⡛⠶⠾⠋⣦⠈⠻⠇⣸⢧⣷⢀⡾⠀⠀⠀⠀⠀⠀⠻⣷⣦⣄⣤⣴⡾⠟ ⠀⠀⠀⠀⠀⠀⠈⢳⡋⠀⣼⣮⣿⣌⣿⠳⠤⠤⠄⣼⠀⠀⡼⠃⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢉⡷⠋⣹⣿⣾⣍⡳⠤⠖⠀⠏⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠞⢳⠀⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⠁⠀⢈⡇⣿⣿⣯⣿⣿⡟⠉⠉⠉⢻⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣼⣿⣶⡦⠀⠀⠀ ⠀⠀⠀⣠⠞⠁⠀⢀⡴⠋⠓⡼⠿⣿⣿⢸⠁⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢩⣉⣉⣿⣦⣤⣦⠀ ⠀⠀⡸⠃⠀⠀⣠⠞⠁⣠⠞⠁⠀⠈⢻⡰⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⠛⠛⣿⡧⠁⠀ ⠀⣼⣣⣤⠴⠞⠃⣠⠞⠁⠀⠀⠀⠀⠀⢻⠡⠀⢠⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠀⠉⠁⠀⠀ ⢰⡏⠁⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠈⣦⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣮⡀⠀⠀⠀⠀ ⠈⠻⡄⠀⢸⡏⠙⢦⠀⠀⠀⠀⠀⠀⠀⠘⣇⢠⠀⠘⡆⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠋⠀⠀⠀⠀ ⠀⠀⠈⢦⡀⠳⡀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠸⡽⡆⠀⠛⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⡄⠹⣆⠈⡇⠀⠀⠀⠀⠀⠀⠀⠹⣞⢤⣀⠀⠘⠲⠤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣌⠘⡀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠘⢦⡉⠳⣄⠐⢦⣀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢧⠁⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠚⠶⣤⣈⠙⠒⠂⠈⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⡏⡆⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⢴⣶⣄⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣀⣠⠤⠞⠋⠁⠳⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⣦⣄⠀⢻⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠛⠛⠛⠛⠛⠋⠉⢉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡴⢒⣒⢛⣉⣠⡬⣿⣸⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠾⡁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢡⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠆⠀⠀⠀⠀⠀⠀ ⠙⡦⢀⠀⠀⠀⠀⠀⠀⠀⠀⢃⢁⠠⣴⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⢍⠂⢄⠀⠀⠀⠘⣆⠘⡄⢂⠘⠀⣀⣀⡀⠀⠀ ⠀⠀⠈⢆⢑⠄⣈⡰⢒⣒⢞⣶⣾⣦⢟⡇⠁⢊⢗⠤⠀ ⠀⠀⠀⠀⠑⠅⡎⢹⣿⡎⣽⠻⡏⣟⣌⣯⠱⡀⢆⢃⠀ ⠀⠀⠀⠀⠀⢰⢁⣿⣿⢾⣁⠍⠴⣿⡿⡟⣔⣁⡘⢊⡆ ⠀⢀⣤⢦⡀⠀⠏⠆⢻⣢⣩⠀⠀⠀⣡⠇⢹⢧⡇⠀⠁ ⠘⣷⡻⠊⠪⡂⠀⠈⠈⣙⣷⢶⣥⠊⣿⣤⠞⠺⡇⠀⠀ ⠀⠸⣟⠀⣀⡇⠀⠀⡌⣽⡼⠙⢁⢸⡿⠁⠀⠀⢠⠀⠀ ⠀⠀⠀⢉⣿⡇⠀⠔⠋⠙⠀⠞⠁⢈⡃⢰⡄⠀⠘⡀⠀ ⠀⠀⠀⢸⠙⢛⡁⠀⠀⠀⠀⠀⠀⠈⣧⠏⢁⠀⠀⢃⠀ ⠀⠀⠀⠸⡀⠈⠢⢀⣀⠄⢀⣋⠁⠜⡏⠀⢀⠇⠀⢸⠀ ⠀⠀⠀⠀⢱⡀⢀⠎⠱⡀⠀⠀⠀⠈⠢⡀⢸⠀⠀⠎⠀ ⠀⠀⠀⠀⠀⠉⠁⠀⢀⠇⠀⠀⠀⠀⠀⠈⢺⢒⡞⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣆⡀⠀⠀⠀⠀⠀⢀⡸⠾⢷⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⡜⡀⠫⡶⠦⣤⠀⢶⢡⡄⠀⠀⠰⡀ ⠀⠀⠀⠀⠀⠀⡞⠢⢧⣠⠉⢂⡀⢉⠀⢈⡦⢠⣎⣦⢇ ⠀⠀⠀⠀⠀⠰⠁⠀⠀⠉⠺⣸⣿⠹⣀⠾⢃⡗⠉⠃⢸ ⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠈⠏⠀⠃⠀⠈⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠌⠀⠀⠘⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡏⠢⡐⠄⠀⠀⠀⠘⡰⠉⢲⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⡇⠀⠈⡼⠀⢀⣀⡀⡇⠀⡶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠙⢦⣀⠧⡋⠋⠉⠂⡉⠪⠅⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠃⣰⠋⡠⠊⠀⠀⠀⠀⡈⢄⠈⢈⠑⠦⠤⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠔⠁⢠⠇⡸⠁⠀⠀⢚⡧⡀⠀⢰⠐⠀⠱⠈⠭⣕⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠁⠀⠠⡪⢊⠄⡆⡀⢸⠒⠉⠹⣆⠀⡧⣵⣤⢓⠠⣄⠐⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⠊⡵⠀⡇⢁⢸⣤⣔⡈⠹⣦⣾⠿⢿⢿⡀⠢⠍⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠊⢀⣔⡤⡎⣼⡌⢸⡛⠋⠁⠀⠋⠋⠀⡸⣧⣱⠀⠀⠀⠀⠀⠀⡄⣳⠄⠀ ⠀⠀⠀⢸⠿⠱⠃⠙⣿⣎⣧⡀⠀⠀⠀⠀⣰⡇⣿⠈⠀⠀⠀⠀⠀⣽⢜⠪⠮⡄ ⠀⠀⠀⠘⠀⣆⡸⡄⡹⣏⡟⣟⠣⢒⣂⣮⢋⡇⡏⠡⡈⠑⡄⠀⠀⠀⢱⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⢀⡿⠐⢱⠰⢸⠀⠀⡄⢾⡿⠬⠗⢀⠈⠢⣸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡰⠁⠀⠉⠉⡦⠙⡍⠐⠚⠋⠁⠀⠀⠀⠁⠢⡈⠆⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⢠⠃⠀⠀⠀⡀⠃⠱⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⠌⢊⣆⠔⠐⠤⡤⠀ ⠀⠀⠀⢀⠋⠢⠄⢀⣴⠉⢹⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢰⠒⢇⠑⣄⡰⠁⠀ ⠀⠀⢀⢌⠀⠀⢀⡜⠘⡀⡈⠀⢸⠊⠀⠢⢄⠀⠀⠀⠀⡘⠸⠀⡜⡀⠑⠕⠄⠀ ⠀⠀⡌⠀⠓⠰⣞⠀⠀⠐⡇⡄⠸⠈⠉⠂⢄⠈⠂⠄⡠⠁⣇⣼⣅⠼⡇⠈⡜⠀ ⠀⠀⡆⠀⠀⠀⠀⠑⡀⠀⠀⡗⠔⢣⠄⠀⠤⠘⠐⠠⠤⠈⠀⣾⠃⠀⡟⡄⢰⠀ ⠀⠀⠙⠅⡀⠀⠀⠔⠈⠐⡧⠰⡀⠀⠢⡀⠄⠀⠀⠀⠀⠀⠀⢋⢂⣠⠠⠃⠀⠀ ⠀⠀⠀⠀⠀⠈⣏⣤⠴⢖⠱⠐⠕⣄⠀⠐⢄⡑⡄⠀⠀⠀⠀⠀⠁⣁⠂⡤⡀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢱⡄⠀⠀⠀⠀⢀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣺⠄⠀⠀⢀⣇⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠴⡃⠀⢠⡄⠘⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠡⣤⣄⣬⣴⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠝⣻⠟⣿⣿⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠂⠻⣿⣿⣿⡬⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠠⢠⠃⠀⠀⢹⣿⣷⡑⢰⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⠀⣀⣪⣴⡏⣼⣢⡄⢠⣧⣿⣷⣿⣟⣓⣂⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡶⠉⣴⣻⣿⠟⠹⣿⣿⣿⣿⠏⠀⣸⢿⢯⣧⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣧⠁⠀⣿⣿⣿⣂⡠⠛⣇⠱⡹⢧⣀⣏⣾⠿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡸⣄⢈⣿⠿⡟⠉⠀⠀⣼⠀⢑⡮⠿⠟⠁⢐⡶⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢠⢁⣾⣿⠀⠈⠒⢖⢺⡿⠞⠋⠀⠀⠈⠒⡛⣧⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⡆⣸⣿⠟⠀⠀⠀⠀⣉⣀⣀⡤⢤⣤⣴⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠰⣱⠏⠀⠀⡠⠔⠁⣠⣞⣉⣽⣿⣿⣿⡿⠿⠿⠶⢄⣀⠀⡀⠀⠀ ⠀⠀⢂⣡⣿⠀⠀⠔⠀⣴⣿⣉⣀⣠⡿⠿⢟⣛⡲⠒⡈⠉⠉⠘⠒⠒⠓⠒ ⠈⠉⠉⠉⠁⠀⠀⠂⠺⠷⠤⣤⣭⣿⣯⣭⣭⣽⣷⣄⠣⠄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠶⠝⠁⠀⠀⠀⠀
⠀⠀⠀⠀⢰⢂⢨⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢈⡎⠉⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⠀⣀⢠⠀⠰⠀⠀⠀⠀⠀⠀⠰⣆⣀⠀ ⠀⠀⠀⠀⠡⡇⠠⡤⠆⢀⠃⠀⠀⠀⠀⠀⡤⣷⣄⠀ ⠀⠀⠀⠀⠀⣙⣦⣤⡠⠮⡀⠀⣀⠀⠀⠀⠛⠃⠀⠀ ⠀⣠⡐⡨⠥⡩⠪⠘⢊⣡⡠⡗⣥⠃⠀⢀⠀⠀⠀⠀ ⠀⢣⢋⢣⠈⠡⣤⣜⣝⣦⣷⢟⠏⡆⠀⢸⠀⠀⠀⠀ ⠀⠀⠑⣧⠦⣤⢿⡂⠓⡙⢊⠲⠸⠀⠀⠈⠧⠤⠴⠂ ⠀⠀⠀⢈⠞⣽⣯⣖⡂⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠔⠁⠼⣻⣿⡏⠉⠙⡃⠀⠀⠀⠀⠰⡾⣖⣀⠀ ⢀⡂⠤⠊⠊⠀⠈⡤⢀⠀⠃⠀⠀⠀⠀⠀⡉⠙⠂⠀ ⠰⡀⠜⢀⠀⠀⠀⢠⡄⠆⠆⠀⠀⠀⠀⠀⠙⠂⠀⠀ ⠀⠈⢎⢂⠇⠀⠀⠈⢓⢄⠐⡀⠄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢣⠘⠀⠀⠀⠀⠁⠓⠨⢐⣈⠢⡀⠀⠀⠀⠀ ⠀⠤⠶⠬⠥⠇⠀⠀⠀⠀⠀⠀⡀⡨⣑⣌⡆⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⢼⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡿⠀⠀⢹⠓⠦⣀⠀⠀⠀⠀⠀⠀⢸⡔⣤⣇⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠁⠀⠀⠀⠁⠀⠈⡕⠒⢤⡀⠀⣴⠋⠁⠀⠀⠀⠈⢙⠒⠢⡀⠀⠀⠀⠀⠀ ⠘⡇⠀⠀⠀⠀⠀⠀⠱⡄⠀⢙⣼⣀⡀⠓⠊⢀⠀⡤⠼⡄⢤⠇⠀⠀⠀⠀⠀ ⠀⠙⢦⣀⢀⠀⠀⠀⠀⠉⠐⠣⣹⠉⠛⠦⡑⠒⠴⠈⠁⠃⢸⠀⢐⡇⠀⠀⠀ ⠀⠀⢀⡈⠙⢢⠀⠀⢀⠀⠀⢀⡞⢢⡀⠀⡸⠉⠁⠚⠻⣷⣟⣀⠐⠀⠀⠀⠀ ⠀⠀⠀⠙⢦⡘⢤⣆⣈⣢⡀⣘⣿⣦⡙⠿⠒⠒⠀⠐⠒⠈⠹⡈⠉⠓⢤⡀⠀ ⠀⠀⠈⠓⠦⢌⢸⢩⠢⢀⣈⣋⣙⢻⣪⣓⠀⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⢱⠀ ⠀⠀⠀⠈⠙⠂⠸⡄⡙⣠⠃⠀⠀⠀⡌⠓⢄⠀⠀⠀⡀⢄⢀⡼⠉⠒⠀⠸⡇ ⠀⠀⠀⠀⠀⠀⠀⢧⠈⢜⠤⠀⠀⠀⠀⠀⡀⠙⢦⣼⡄⠘⠻⣅⠠⠀⠠⣀⢱ ⠀⠀⠀⠀⡠⠤⠀⢸⠀⢸⠀⠀⠀⢑⠀⠀⠀⠀⡏⠀⠀⠀⠀⠈⠀⠀⠀⠈⢺ ⠀⠀⢠⡴⠖⣫⠀⡇⠑⡐⠉⠁⠀⠒⠀⠀⠁⢣⡠⠫⣀⠀⠀⢀⠇⠠⠄⢐⡼ ⠀⠀⢠⠶⠋⠁⢸⡁⠀⢸⠂⠄⠀⠀⠀⠀⠀⡜⠁⠀⠈⢲⠒⠓⠂⠤⠴⠋⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠐⠂⠀⠀⠀⠀⠀⠀⠨⠄⠐⠒⠘⠛⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠶⠒⠒⠚⠉⣁⣀⡍⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⣶⣾⡟⠛⢿⡾⡆⠀⠀⠀⣀⣤⠤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⣠⣾⠟⠙⠻⣿⣄⠈⣿⣿⣿⣷⣶⡯⠉⠙⣆⠈⢿⡲⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠴⣚⣉⣉⣉⣑⠲⢬⣛⠁⠀⢀⣴⣿⣿⣦⣿⣿⣿⣿⡃⠁⠀⠀⠸⣧⡀⢝⡸⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣞⡵⠞⠋⠁⠀⠀⠉⠙⠒⣶⣯⣽⣿⣿⣿⣻⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠘⠉⠘⣆⢧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣯⣏⡥⠴⠚⠛⠛⠛⠛⠛⠛⠛⠋⣹⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠙⣆⢳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠋⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⣿⡟⢇⡄⠀⠀⠀⠀⠀⠸⣄⢧⠀⠀⠀⠀ ⠀⠀⠀⣠⠖⠒⠊⠉⢍⠉⢳⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡿⠿⠋⢻⣿⣿⣿⣇⠈⠿⣦⠀⠀⠀⠀⠀⢽⣼⡀⠀⠀⠀ ⠀⠀⡰⣿⠘⣦⠘⣦⢸⣆⡸⣙⡆⠀⠀⠀⠀⠘⣿⣿⢿⡿⠀⠀⠀⠈⠙⣿⣿⣿⣆⠠⣹⣧⠀⠀⠀⠀⠀⡇⠳⡀⠀⠀ ⠀⠀⡇⢻⣄⡈⢣⠹⣄⡿⠟⠋⠀⠀⠀⠀⠀⠀⠘⣿⣾⡷⣦⣤⡤⠆⠀⠘⣿⣿⣿⣿⣦⢿⣷⣶⣄⠀⠀⢱⠀⠱⡀⠀ ⠀⣸⠁⣼⣿⡿⡗⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠼⣿⣧⣬⣿⢛⠁⠀⣠⡿⣿⣿⣿⣿⣦⡻⣮⣙⢧⡀⠀⡇⠀⢹⡄ ⢰⠇⢠⠁⠀⠁⠹⡄⠀⠀⠀⢀⣀⡀⢀⡾⢁⣴⠿⠿⠛⠛⢿⣽⡿⠿⣿⢿⣿⠟⠉⠀⠉⠻⠷⣿⠉⠑⠿⡄⠃⠀⢸⡇ ⡏⠀⠘⠀⢰⠀⠀⢳⠀⣤⣚⠉⠠⠭⣭⣶⣿⡇⠀⠀⠀⠂⠀⠀⠀⢠⡟⠈⠁⠀⠀⠀⠀⠀⠀⢹⣠⠀⠀⠙⡆⠀⢸⣇ ⡇⠀⠀⠀⣼⠀⠀⣸⣾⠋⠀⠀⠀⠀⠀⠀⣻⣿⡄⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⢧⠀⠀⠀⠀⣸⣿ ⣷⠀⠀⠀⠈⠀⡜⢡⡎⠀⠀⠀⠀⠀⠀⠀⠸⢻⣷⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⣖⠀⠀⠀⠀⠘⠀⠈⢦⡄⠀⣰⠟⡼ ⢻⣆⠀⢀⣠⣎⢸⣇⡙⠲⣄⡀⣀⠀⣼⣀⣰⣿⣿⣧⣀⠀⠀⣀⣸⣀⣀⡀⣰⡀⠙⣁⡀⠀⢀⣀⡀⠀⡇⠙⣶⢃⡞⠁ ⠈⢿⠀⠸⢽⣅⢸⡇⠘⡇⢸⠀⢸⠀⢹⠀⣾⡿⠋⠈⠻⢷⣸⡁⢘⣧⣄⡀⢩⠀⠸⠟⠁⡀⣾⠷⡈⠀⠷⣞⡅⢸⠀⠀ ⠀⠈⠳⢶⣠⠯⠜⠓⠲⠧⠼⠤⠼⠤⠚⠚⠁⠀⠀⠠⠤⠀⠙⡗⢲⡿⢽⠃⠘⠶⠀⢰⠾⠟⠛⠦⢶⠀⠀⠈⡇⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣡⠊⠀⠀⠉⠓⠀⠀⠀⠀⠀⠀⠐⠛⡆⠀⣸⠁⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢯⣀⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣰⠇⡼⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⢰⠋⠈⠙⢻⡄⠀⠀⠀⠀⠀⠀⠀⢀⣧⢏⡞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⢸⡀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⢀⡾⡡⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⡎⠉⠓⢦⠀⠀⠀⠀⠀⠀⠀⣠⣾⠞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢃⡾⠀⠀⠀⠸⠀⠀⠀⠀⠀⢀⣼⣛⣁⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⢀⡴⠋⣿⣄⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢹⠀⠀⠀⠀⠀⠀⢠⢏⡴⠋⢁⣽⣷⡀⠀⠀⢰⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡞⠀⠀⠀⠀⢀⢴⣫⠥⠒⠉⠉⡅⠈⠻⣆⢠⣾⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⠛⢳⣤⠴⢺⠟⠉⠀⠀⠀⠀⠀⠘⣄⠀⢿⠚⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢧⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⢱⢺⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⣸⡀⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠙⢆⠀⠀⠉⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠥⠤⠤⠤⠤⠬⠿⠦⠾⠧⠤⠤⠤⠀⠀⠀⠀⠠⠤⠤⠄⠸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠤⠶⠒⠋⠉⠉⠓⣦⠀⢸⣼⣿⠷⠆⠀⠶⣿⡇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠐⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⣼⠻⣿⠀⠀⠀⢰⣿⣷⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠉⣀⡤⠖⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠟⠋⠙⢯⣇⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣏⣤⡶⠋⠁⠀⠀⠀⠀⠀⡠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠁⠀⠀⠀⠀⠘⣿⣄⠘⠹⡿⢹⣁⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⡼⢫⡼⢟⠛⠻⠀⠀⠀⠀⠀⣠⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⣲⣄⣤⠶⠊⠉⠀⠀⠀⠀⠀⠀⢀⡤⠿⣿⡄⢸⠃⡌⠉⠉⠉⠉⠉⠓⠦⣄⠀⢠⠞⣰⣟⡵⠚⠉⠀⠀⣐⣶⡶⢚⡵⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⣠⡴⠿⣿⣾⠀⠋⠉⠛⠛⠳⠶⣤⣤⡀⣹⢿⡾⠛⠁⢀⣤⣴⠾⢛⣭⡴⠚⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀⠀⢀⡼⠁⣠⣞⡥⠴⠚⠛⢛⣽⠿⠟⠛⢻⣖⣤⣌⡙⠻⣧⣿⡤⢴⣛⣫⠥⠖⠛⠉⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⢀⣰⠏⠀⣾⠋⠁⠀⠀⠀⣠⠞⠁⠀⠀⠀⠈⢹⡏⠙⢿⣶⡈⠱⣞⡙⣇⠀⠶⠶⠶⣤⡰⠟⣂⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣷⣠⠤⠶⢋⣁⣤⡾⠁⠀⢀⡄⠀⠀⡏⠀⠀⠀⠀⠀⠀⢸⠇⠀⠈⢀⣳⠀⠙⡗⠸⡆⠀⠀⠀⣾⠀⡼⠁⠀⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⣿⠿⠿⣿⣿⡿⠀⡐⢀⣼⠇⢠⢠⠇⠀⠀⠀⠀⠀⠀⣼⠀⢀⡜⢉⣤⣵⣄⣿⠀⢹⡂⠀⠀⣇⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣭⣭⣿⣷⣾⣄⢰⣿⣿⡴⠀⡇⣸⢸⠀⣾⣼⠀⠀⠀⠀⠀⠀⢀⡇⠀⣸⡇⣼⣿⣛⣿⣽⠀⢸⡧⡤⠴⠛⠛⠷⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠿⠋⢉⣁⣀⡀⠉⠹⣿⣿⠃⡇⢰⣧⣿⣿⣼⣷⣿⠀⠀⠀⠀⡀⢀⣼⠀⣠⢿⡿⢿⣿⣿⣿⠈⠀⢸⡇⠀⠀⠀⠀⠀⠈⠙⠲⢤⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠁⣠⠞⠉⠉⠉⠉⠙⢺⣯⣿⢸⠀⣿⣿⠿⢿⣿⣿⢿⡆⠀⠀⣴⣧⣾⢯⣾⡧⠈⢷⣬⣿⣿⠏⢠⠀⢸⡇⠀⠀⠀⠀⠀⢀⣠⠞⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣃⡞⠁⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣄⢻⣿⠀⠈⠛⠛⠿⣇⢀⣼⡿⣿⠿⢋⣀⣇⣠⣼⡿⠛⡁⠀⡟⠀⣸⠁⠀⠀⠀⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠹⠞⠛⠛⠛⠿⢷⣾⣿⣿⠏⠀⠞⠀⣼⣡⠶⡇⠀⢀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣟⣿⡹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣽⣟⡁⢀⣰⢇⣾⣿⣃⣀⣴⣞⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣽⣿⣿⡄⠀⣄⡀⠀⠀⠀⠀⠀⠀⣩⠟⢉⣤⣾⣿⣿⠟⠛⠒⠚⠻⣿⡿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠻⣿⠹⣞⣆⠀⠈⠁⠀⠀⣠⣴⣿⠟⠛⣻⣿⣟⣿⠟⠛⠛⠓⠢⣄⠀⠻⣜⣯⣷⠀⠀⠀⣠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⢁⡄⠊⡇⠀⠀⢀⠀⠀⠀⣀⡤⣿⣁⣴⡿⢧⣘⣮⣓⠒⠿⠿⣯⣭⠟⠁⣰⡾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠈⢳⡄⢿⣿⢸⠀⣠⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⣰⠋⠀⢀⣇⣀⣐⡡⠤⠖⢊⣁⡼⠟⠉⣿⣥⣼⣿⣷⡟⠒⣶⣤⠟⢁⣤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⢸⢻⢸⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠋⢠⣞⣁⣤⡶⠿⠛⠛⠃⠉⠉⠉⠉⠉⠀⠀⠀⠉⠉⠉⢉⣿⣷⣴⣿⣇⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⣸⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠋⠀⣤⠟⠁⠙⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⡏⡾⣟⠁⠀⠀⢠⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣧⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠞⠀⣠⢞⠅⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡁⠹⣆⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡶⠁⣠⣸⣇⠆⠀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡈⠻⡅⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⠏⠀⡄⢫⠏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⢀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡘⢦⡀⠀⠀⠀⢀⣴⢿⡟⠀⠀⠀⡀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⢀⡞⢀⣿⠀⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⣠⠞⠁⠀⠀⠀⣀⣠⡤⠤⠤⢤⡀⠀⠀⠀⠀⢷⠀⠻⣄⢀⡴⣻⠁⠈⡇⠀⠀⠀⢱⡀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡜⠀⡾⣿⠀⠁⠘⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⡼⠃⢀⡤⠖⠊⠉⠀⠀⠀⠀⠀⠀⠙⢢⡀⠀⠀⠈⣧⠀⠘⢇⣼⠃⢸⠀⣿⠀⠀⠀⠀⢳⡀⠀⠙⢆⡀⠀⠀⠀⠀⠀⠀⠀ ⠎⠀⣼⠁⢻⡀⠀⠀⠀⠈⠓⠦⣄⣀⠀⠀⠀⠀⠀⣿⠵⠎⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⢸⡀⠀⠘⢇⠀⢸⠀⠹⡆⠀⠀⠀⠀⠻⣄⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀ ⠀⢠⡏⠀⣾⢳⣄⠀⠀⠀⠀⠀⠀⠉⠉⠓⠒⠶⢶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢇⠀⢈⡇⠀⠀⠸⡆⢸⠀⠀⢻⡀⠀⠀⠀⠀⠘⣦⡀⠀⠈⢧⡀⠀⠀⠀⠀ ⠀⢸⠀⣠⣿⡾⠈⠳⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⢸⡀⢸⠇⠀⢰⡄⣧⠘⠀⠀⠈⢷⠀⠀⠀⠀⠀⠈⠳⣄⠀⡀⠙⢦⠀⠀⠀ ⠀⢸⠀⡏⢿⣇⡀⠀⠀⡇⠩⡉⠑⠒⢒⣒⣪⡿⣿⣿⠀⠈⠙⠲⠦⠤⠤⠤⠴⠒⠈⣿⠛⠦⣀⣀⠀⠀⣷⣿⠀⠀⢸⡇⣸⠀⡇⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠘⢷⡸⡀⠀⠹⡄⠀ ⠀⠸⣴⡇⠘⣿⡇⠀⢠⡇⠀⠙⠒⠟⠛⢩⠉⠀⠈⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠉⠉⢱⣿⣿⠀⢀⣿⣇⡏⠀⠀⠀⠀⠀⡘⢇⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠹⣆ ⠀⠀⣻⣷⠀⢻⡇⠀⠈⣿⠀⠀⠀⠀⠀⢸⡆⠀⢀⡇⠻⣿⡦⣄⠀⠀⠀⠀⠀⠐⠃⠀⠀⠀⠀⣠⣴⡏⣼⠝⠀⣼⣽⣿⠃⠀⠀⠀⠀⠀⡇⠘⣧⠀⠀⠀⠀⠀⠀⠀⠨⢷⠀⠀⠙ ⠀⠀⢹⠃⡄⢸⣧⡄⠀⢸⡆⠐⣄⠀⠀⠀⠑⠶⠋⠀⠀⠈⠛⢦⣙⡓⣢⢤⣤⣤⣤⡤⠤⠖⠋⢡⡞⢠⠟⠀⢘⣽⡟⠃⠀⠀⡀⠀⠀⠀⢸⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀ ⠀⠀⡿⠀⡏⠘⣷⡇⠀⠈⣿⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⣩⠟⠁⠀⠀⠀⠀⠀⢠⡞⢀⡞⠀⣠⠾⠉⠀⠀⠀⢰⠃⠀⠀⠀⣼⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀ ⡀⠀⡇⠀⣷⠀⢸⡇⠀⠀⣿⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⡾⢁⡞⣠⠶⠉⠀⠀⠀⠀⢀⡿⠀⠀⠀⡸⡿⡀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀ ⢧⠀⡇⠀⠹⡆⠈⣧⠀⠀⢰⡇⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣿⡟⠋⠁⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⢰⢧⡇⠇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀ ⠘⡆⢿⠀⠀⢻⡄⠸⣆⠀⣾⠁⣰⣶⠀⠀⠀⠀⠀⠀⠀⠀⣔⡇⠀⠀⣤⣴⣶⣾⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⣰⢯⡏⠀⠀⣠⠋⢸⠃⢰⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⠘⠀⠀⠀⠙⠂⠙⣼⠋⠀⠙⠉⠀⠀⠀⠀⠀⠀⠀⠈⠹⠇⠀⠀⣿⣿⣿⠿⠛⠋⠉⠀⠀⢳⡄⠀⠀⢀⣀⡞⢡⣟⡀⢀⡞⠁⢠⡇⠀⠸⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣷⠀⠀⠰⡏⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⣾⠀⠀⡆⡄⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠒⠉⠉⠉⠁⠐⢄⠈⢺⡄⡰⢳⣠⡰⠇⢓⣾⠃⠄⠂⠈⠉⠉⠀⠢⡀⠀ ⡔⢩⡂⠐⢄⠀⣀⠀⢀⡠⠧⡀⣿⠃⠋⠀⠈⠁⠙⢟⡌⠤⠤⠠⣤⠤⠄⠀⠈⠀ ⢣⢈⢇⠀⠈⠉⠐⢶⠋⠉⠢⣴⡇⠀⢀⠤⠐⠙⣖⣺⡀⢀⣠⠊⠉⠉⢹⠂⠀⠰ ⢸⣿⠘⢦⣀⡀⠀⢘⡀⠀⢀⡏⢿⢲⠀⢩⢄⡀⢈⣥⢸⠁⢸⠀⠀⢠⠞⠲⠐⡂ ⢸⢿⡀⠀⠀⠙⠫⡉⠳⡄⢎⠈⠻⣧⢷⣄⠁⠤⠠⡾⣳⡖⠉⢱⠤⣧⠊⠀⢠⡇ ⠀⢿⣶⣄⠀⠀⠀⠈⣶⡒⢼⠄⠀⠉⠙⠛⠿⡷⣿⠟⠁⠀⠀⣼⣾⡞⣀⣴⠟⠀ ⠀⠀⠙⠛⢧⣴⣶⠾⠛⠻⣍⡇⠀⠀⠀⠀⠀⠈⢕⡔⠀⠀⠀⠹⡛⠛⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠙⢻⡀⠀⠀⢻⡿⣄⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢳⣄⠀⠀⠳⡬⣷⣄⡀⠀⠀⣠⣼⣄⣠⣴⡛⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠧⣄⡀⠙⠻⣙⡭⣒⠾⠛⠒⡍⢲⢿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⠖⠳⢬⡳⡄⠀⠤⢳⢚⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⢀⣹⢷⣤⣤⢯⣣⡤⠤⢚⣉⢷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡀⠛⠢⢬⣙⣭⣕⢻⣿⢄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⢀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⢸⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢁⣿⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡇⢸⣿⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠈⣿⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⣽⡦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⢹⠀⠀⢠⡀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢷⡈⠙⢶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢻⡆⠘⣧⠀⠈⢣⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢣⡀⠀⠈⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡷⣄⠀⠈⣧⠀⠘⣆⠀⠸⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢷⡀⠘⢦⡀⠈⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠹⣾⡀⠀⠸⣧⠀⠘⣦⡄⠁⡇⢀⣀⡤⢤⡤⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣄⠀⢙⢢⡀⠀⠀⠙⠲⣤⡀⢀⣠⣤⣤⣤⣼⣷⣤⣤⣼⣧⠀⠘⡇⣼⣿⡋⠹⠳⣬⡙⢿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣆⠀⢢⡉⠳⢆⡀⢀⣬⠛⢉⢧⢀⣀⡞⢋⣱⣽⠚⣿⣿⢿⣿⢿⡁⣸⠃⠀⠀⠈⠳⡜⠻⡍⠓⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠙⠢⢄⣉⡿⣿⢄⢸⠘⣨⠟⢳⡄⣿⣿⣿⣽⣭⣿⣿⡇⢹⣿⡂⠒⣴⡀⠀⢳⡄⠙⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢦⣀⣽⠀⢸⣾⣾⣿⣿⠀⢠⢻⡿⠻⣿⡿⠀⣧⡏⣧⢀⣿⣷⡄⢠⢇⠀⠘⢷⠀⠻⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢤⣀⣿⣿⣿⠓⣐⣾⠛⠳⢀⡞⠁⠸⣿⣷⣿⣿⢻⣷⡆⠈⡾⣆⠄⢸⣷⠀⢱⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠀⣰⣿⣼⣿⣗⣼⣿⡃⣀⢀⡾⠁⣴⣿⣿⣶⣽⣿⢿⡏⢰⢠⠁⣿⠀⢸⠃⢳⡜⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣳⢰⡟⠋⠹⣿⣿⠋⠿⣿⣿⠋⠀⠀⠁⠙⠛⠃⣸⠋⣸⠇⠘⣼⡼⣿⢇⣾⠀⠀⢳⣽⠀⠀ ⠀⠀⠀⠀⢀⣠⣦⣄⡀⠀⠀⠀⠸⣿⠀⣇⠀⢻⣿⠷⣄⠈⢙⠀⠀⠀⠀⠀⠒⠀⢹⣤⣿⠀⠈⣿⢃⡟⣸⣸⠀⠀⠀⠙⠀⠀ ⠀⢀⣤⣾⡿⢚⠀⢸⡷⣤⡀⠀⠀⠀⠀⢹⡆⠀⢿⣆⣼⡿⠿⠖⠀⠀⢰⡆⠀⢠⣼⣷⡇⠀⠀⢻⡾⠀⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⢿⣅⣴⣿⠿⣿⠀⠙⢦⡉⣷⠀⠀⠀⠀⠹⡆⠘⡛⠷⣝⣷⣶⣤⠖⢉⣠⠴⠋⣿⣿⡀⠀⣰⣾⠷⣤⣼⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⣟⣫⡶⠊⠁⠀⠀⠀⢧⡿⠀⠀⠀⠀⠀⠀⢀⣧⡜⣾⣯⡉⢻⢿⣿⡿⠀⠀⣸⣿⣿⡿⠋⠁⠀⠈⠹⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣷⢿⣿⠇⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⢰⠟⠻⣼⠃⣠⡿⠿⠿⠁⠴⠚⢻⣿⢳⠿⠃⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠛⢾⣍⡀⠀⣠⣤⣴⠋⠀⠀⠀⠀⢀⡏⢀⡴⣻⣾⠋⠁⠀⠀⠀⣠⠀⣿⣷⡞⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠛⢯⣤⢿⠀⠀⠀⠀⠀⣼⣧⠼⠖⣿⠃⠀⣠⡴⣢⠞⠁⢰⠟⡏⠀⠀⢷⡀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⢸⣼⣇⠀⢀⡴⠚⠉⠁⠀⠀⠉⢠⡞⠙⠊⠁⠀⠀⠈⡆⣤⠀⠀⣸⣷⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣜⣿⢿⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣸⣤⣤⡿⢹⣇⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠉⠉⣾⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢦⠀⣿⢃⣾⠃⠀⢿⡀⠀⠀⠀⠀⢹⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠙⢿⠃⠀⠀⠀⠘⣆⠀⠂⠀⠀⢱⣀⣧⣯⠇⠈⢲⣿⣿⠃⠀⠀⠀⢻⠀⠀⠀⠀⠀⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠈⠳⣤⡀⠀⠀⠉⢶⡀⠀⠀⠈⠏⠉⠀⣀⣶⠟⣹⠏⠀⠀⠀⠀⣴⠛⠁⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⢸⠀⠉⣹⣿⡟⠛⠉⠉⠛⠛⠛⠛⠋⠉⠀⣴⡏⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣾⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⠀⠟⢀⡾⠋⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣾⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⢀⣴⠛⠀⠀⠀⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣦⠀⠀⡇⠀⠀⠀⣴⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠉⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣧⠤⢤⣴⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⣤⣾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡄⣧⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠟⠛⠛⠛⢻⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠹⠀⢿⡿⠶⢤⣀⣀⠀⠀⠀⠀⠀⡀⢀⡾⠉⠀⠀⠀⠀⠀⠘⠁⠹⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⢡⣼⠀⠀⣿⡜⠓⠮⣽⣿⣒⠠⠤⣤⣷⣿⣥⣴⡾⠆⠀⠀⠀⢸⠀⠀⢹⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠀⠸⡿⡇⢠⢃⠙⢦⣀⠀⠀⠉⠙⠳⠦⣄⣀⡀⠠⣏⠀⠀⠀⠀⣸⣧⠀⠘⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠛⠓⠦⣇⣻⢸⢿⣰⠀⠙⢦⡀⣀⠀⢠⢠⠀⠀⠁⠀⣿⠀⡄⠰⡔⢦⠈⣧⣸⣾⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠉⠷⣌⡙⡇⡄⠀⡿⣿⡄⣸⡟⠀⠀⠀⣆⣿⡆⢻⠀⢹⠿⣇⡟⠉⠈⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣇⠀⡇⣿⡆⠁⢹⡀⢀⣾⣿⠿⡇⢸⣰⠃⠀⠙⠃⠀⠀⢸⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣇⢿⡇⠀⠸⡇⠟⠋⠀⠀⠹⣼⡇⠀⠀⠀⠀⠀⠀⠘⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⢧⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⢀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⢠⡄⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⢀⡏⡇⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⡶⠟⠛⠛⠛⠿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⡾⢰⠇⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⣿⣿⠀⠀⠀⠀⠀⠘⣟⠛⠻⢷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣧⡏⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣽⠁⠀⠀⠀⠀⠀⠀⠻⡇⠀⠀⠈⠙⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⡆⢿⠇⠻⠿⠻⠿⠷⠶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠀⠀⠀⠈⡏⠙⠛⠶⣦⣄⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⠿⠿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠙⢿⣦⠀⠀⢠⣾⢿⠀⠀⢀⡤⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠈⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⢄⠀⠀⠀⠀⠙⣷⣠⣿⠃⠀⠀⠀⠻⠦⢤⣄⣹⠀⠀⠀⠀⠀⠀⣀⢹⡀⠀⠀⠀⣠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣯⡃⠀⠀⠀⠀⣸⣿⣯⣤⣴⣶⡄⠀⠀⠀⡀⠉⢰⣤⡀⠀⢾⣏⠉⠙⢯⠓⠒⠚⣿⠃⠀⠀⠰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠲⢦⣶⡏⠉⠉⣿⠿⠿⢼⣿⣤⡀⠸⠧⣄⣠⣍⠁⢤⡄⠈⠛⠶⢬⡇⠀⠀⣿⠀⠀⠀⢀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠛⠿⣶⣄⡰⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣴⡟⠀⠀⠀⠈⠙⠳⢤⡀⠀⠀⠈⠓⠞⠃⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⢉⣉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠻⢿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⢹⡷⠤⠤⠤⢤⣀⣰⣖⣶⣶⣤⡀⣼⡟⠀⠀⠀⢉⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣄⡀⠀⠀⠈⢹⣷⠀⠀⠀⠀⠀⣦⠀⠀⠀⠀⠀⢀⡀⣼⠇⢙⣦⣄⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠈⠉⠛⠺⢯⣯⣽⣿⣇⡀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢯⡓⣤⠀⠀⢸⣿⠀⠀⡆⠀⠀⢹⣄⠀⠀⠀⠀⠈⣿⣿⣆⠀⠙⢿⣷⢦⣤⣜⡝⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣿⣿⠟⠻⢷⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢮⣙⢦⡀⠻⣦⣀⢷⡀⠀⠀⠙⢷⣄⠀⠀⠀⢹⣿⣿⣿⣦⣀⠉⠳⢮⣏⣙⠛⠒⠶⠶⠶⠶⠶⠖⠛⠋⠁⠀⠘⣧⠀⠀⠀⠈⠙⠻⣷⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣤⣀⠀⠈⠓⠝⣦⠈⢻⣿⠿⡟⠳⠾⠿⠛⢷⣴⣶⣿⣿⣯⣝⣿⣟⠷⣄⡀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠿⢿⣢⣄⡀⠀⠀⣼⡇⣀⠻⣄⡀⠀⠀⠀⠭⠛⠋⠀⠙⢿⣿⣻⢦⣈⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⡀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣤⣉⠉⠛⠦⠀⣿⡇⠹⣦⡈⠙⠲⠤⢤⣤⣤⠤⢤⣤⣤⣽⣿⣾⣿⣶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣔⠂⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⢶⡄⠀⢿⣇⠀⠈⠻⡇⠀⣴⢷⠀⠀⠀⠀⠀⠀⠀⠀⠸⠙⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣾⠋⠙⠳⢦⡤⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣯⠳⢼⡆⢱⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⢴⠇⠀⠀⠈⠻⢦⣀⠀⠀⠀⠀⠀⣠⡶⠛⢻⡆⢀⣠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠹⣄⠹⡄⠀⠀⠀⠀⠀⠀⠔⠀⠈⠀⠀⠀⠀⠀⠀⠙⢷⣦⣀⠀⢸⡏⠀⠀⠘⣿⣿⣿⠋⠀⠀⠀⠀⣀⣀⡀⠀⠀⠈⢿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠈⢢⠉⠓⠤⠤⠄⠤⣄⡀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠹⣿⣷⣼⣷⡄⠀⠀⠈⠛⠻⣷⡤⠤⠒⠛⠉⠉⠙⠳⣄⠀⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠉⠉⠓⠂⣹⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⢳⠀⠀⠀⠀⠀⠀⠀⠈⠳⣴⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡶⠶⠂⠀⠀⣿⢀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀ ⠀⠀⠀⠀⠀⠀⠀⠉⣁⣀⣀⡼⠇⠀⢠⡏⢿⡀⠀⠀⡳⢄⣀⣀⣀⣀⣀⠀⠛⠀⠀⠀⢀⣀⣀⣀⣠⠆⠙⠳⠶⡶⠦⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⢀⣠⠶⣋⡭⠞⠋⣠⡀⠀⣾⠃⠀⠙⣄⢸⠁⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⡠⠞⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⣀⣀⣀⠤⠴⠚⠁⣠⡟⠀ ⠀⠀⠀⠀⠻⠗⠛⢁⡠⢴⡾⠛⠀⢀⣿⠀⠀⠀⠙⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣼⠁⠀⠀⠙⢿⡂⠀⠀⠀⢀⣤⠞⠉⠉⠉⠀⠀⠀⠀⣠⣾⠟⠁⠀ ⠀⠀⠀⠀⠀⣤⢞⣭⠖⠉⠀⠀⠀⣸⡇⠀⠀⠀⠀⠈⣷⠦⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠃⠀⠀⠀⠀⠈⠙⢻⣿⠿⠟⠛⠳⠶⣦⣤⣤⣤⣶⡾⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠘⠟⠋⠀⠀⠀⠀⠀⠀⣿⣧⡀⠀⠀⠀⠀⢿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⢽⣓⡶⠤⣄⡈⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠏⣀⣀⣀⡤⠤⠴⢖⣛⡭⠼⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠙⠁⠀⢀⣀⣀⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠘⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⡇⢀⣷⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠘⣏⣇⣿⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣦⠙⠿⠟⠋⠉⠁⠀⠀⠉⠉⠛⣷⠛⠛⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⢀⡀⠀⠀⠀⣄⠀⠘⠧⡤⠾⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠘⠷⠶⠟⠁⣀⡀⠀⠙⠷⣶⠴⠇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠠⣀⢨⡅⢤⡀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠠⣄⡄⠀⠀⠙⠋⠉⠋⠁⠀⠀⠀⣤⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣯⣀⡟⡖⢶⢴⢶⣴⣶⡀⣦⣦⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠛⡏⢏⠉⠉⠉⠙⠉⠉⠉⠉⡿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡶⠶⠾⠿⣿⠋⠁⠀⠀⠁⠘⣆⠀⠀⠀⠀⠠⠀⠀⠉⠀⠉⠷⡶⠶⢦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⠛⠉⠀⠀⠀⢴⡿⠓⠒⠒⠂⠤⠤⢤⣀⣀⠀⠀⠀⢀⣀⣀⡠⠤⠔⠂⠙⣤⠀⠀⠈⠙⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⠔⠚⠉⠉⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⡀⠀⢀⣠⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⠿⢆⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣥⣼⠿⠛⠑⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡏⠳⢮⣃⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⢹⣧⠙⣓⠦⠤⠥⠤⠤⠤⠖⢛⡁⠈⡛⠲⠤⠤⢬⣤⣤⠤⠴⣋⣼⠇⠀⠀⠈⠙⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⣿⡄⠈⠑⠶⡀⠀⣠⠔⠛⠉⠀⠀⠉⠓⠦⣄⡀⠀⠀⣠⠞⠁⡟⠀⠀⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣤⣶⢾⣿⣿⢷⣄⢀⣠⡶⠿⣄⠀⠀⠀⢀⣼⠋⢷⡀⠀⠀⠀⠘⡎⠑⠒⠒⠉⠀⠀⠰⠚⢩⠱⣄⠀⠃⠀⣼⣧⠀⠀⠀⠀⢀⣿⣧⣄⠀⢠⣾⡿⣶⡶⣦⣀⠀ ⠀⣿⠁⠺⣿⠋⠉⡿⠋⠉⠀⠀⠈⠳⣄⡶⠋⠈⠀⣾⠛⠆⠠⠀⢀⣹⠤⠤⣀⣀⣀⡀⠀⠤⢯⡀⠈⠀⠀⣾⡇⠈⠙⠶⢄⠖⠉⠀⠀⠙⠻⢿⠉⠙⣿⡇⠈⣿⠀ ⠀⢿⣦⠄⠛⢽⣀⠀⠀⡀⠀⠀⠀⢀⠇⠐⠀⣀⣾⣿⣶⣤⣄⣀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⣹⣇⠀⠀⠀⠣⣀⠀⠀⠀⠀⠀⠈⢳⣾⠟⢁⣼⡟⠀ ⣶⡟⠁⣠⣶⠂⠉⣃⣴⣇⣄⣀⣒⣁⣠⠤⠖⠋⠉⠉⠉⠉⠛⢯⣝⣳⡶⠶⠲⢦⣤⣤⠖⠛⢷⣲⣶⠾⠿⠟⠿⠛⠦⢤⣀⣈⣀⣀⣤⣼⣦⡐⠋⠱⣦⡀⠉⠳⣦ ⠻⡷⠞⣿⣋⣠⡾⠉⠀⠀⢸⡿⠍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡀⠀⠀⠀⢹⣥⣤⠤⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠹⣿⣟⢦⣄⠙⣿⠲⡶⠟ ⠀⠀⠀⠀⠉⠉⠀⠀⢀⣶⠛⠀⢦⣀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘⢯⣲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡀⠈⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠘⣆⠀⠀⠙⠦⢄⣀⣀⠀⠀⠀⠀⠈⠉⠛⠷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠄⠀⠀⠀⣰⠆⣸⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠸⠄⠀⠀⠀⠀⠀⠀⠀⠁⠉⠀⠀⠀⠀⢀⣸⣿⣷⣤⣀⠀⠀⠙⠶⣄⠀⠀⠐⠋⠀⠀⠀⠀⣰⠋⣠⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢶⣼⣗⡋⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⠶⠿⣿⣿⣿⣿⡿⠟⠻⢶⣤⣀⠈⠓⠦⣤⣀⣀⣀⣀⣸⣡⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢶⣤⣤⡤⠶⠶⠞⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠷⠶⠖⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢤⣀⣀⣀⡤⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣀⡀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠈⢻⣶⠀⠀⠀⠀⠀⠀⣰⢻⡏⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⢰⣿⣆⠀⠀⠀⠀⢰⡏⣿⠁⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⣸⠀⡏⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠹⣿⠀⠀⠀⠀⠀⢠⣿⢻⠀⠀⠀⠀⡏⠀⣧⠀⠀⠀⣠⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠤⠤⠤⠤⠤⢄⣀⠀⠀⠀⠀⠀⢧⢻⣧⠀⠀⠀⠀⣼⡇⣿⠀⠀⠀⢀⣽⠀⢿⡆⠀⣸⣿⡟⠁⠀⠀⢀⣀⡤⠤⠤⠤⠤⠤⢤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠲⣄⠀⠀⠈⢣⣻⡄⠀⠀⣸⡟⢰⠇⢰⡤⢖⣿⣿⡷⠼⠟⣿⡿⡿⠁⠀⡤⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀ ⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⢳⣻⡆⣸⡏⢀⣼⠞⠙⠺⣯⣅⡼⢧⣤⣾⣿⣿⠁⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀ ⢀⡴⠟⣡⡞⠋⠉⠲⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣳⡀⠀⠰⣷⣿⡟⠀⢸⠿⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⡜⢀⡞⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠤⠀⠀⠀⠑⠀⠀ ⢸⠀⠀⣿⣧⡀⠀⠀⠀⠻⣄⡀⣤⡴⠞⠛⠛⣛⢛⣿⣟⠛⠁⠙⣄⠀⣼⡇⠇⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠈⢧⡾⠞⠋⠁⠉⠉⠛⠛⠛⣙⣛⣉⣉⣀⢄⠀⠀⠀⠀⠀⠀⠀ ⢸⡄⠀⣇⢹⣇⠀⠀⠀⠐⠛⠋⠉⠓⢦⣵⣤⣿⠿⠉⠉⠙⢲⡀⣸⣷⣿⠃⠀⠀⠀⠀⠀⠀⣀⣤⡵⠛⠳⡤⠤⢤⢸⡆⠀⠀⠀⠀⠀⣠⡴⠟⠉⠉⠉⠉⠙⢿⡤⠀⠀⠀⠀⠀⡆ ⠈⣿⡄⣿⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠁⠀⠀⠀⠀⠀⢻⣿⣿⣿⡀⠀⠀⠀⢠⡞⠋⣁⣘⡇⠀⠀⣿⣤⣤⣼⣦⣄⣀⣠⣤⣾⡟⠀⠀⠀⠀⠀⠀⠀⢺⡀⠀⠀⠀⠀⢀⡇ ⠀⣿⣧⣿⠀⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⡟⢿⣿⣇⢦⣷⠀⠰⠖⠛⠛⠈⠉⠁⠀⠉⠻⠟⠉⡀⢸⡟⠋⠉⢸⡇⠀⠀⠀⠀⠀⠀⢠⣼⠷⣄⡀⠀⣀⣼⡇ ⠀⣿⣿⣿⠀⠀⠘⠿⣦⣀⠀⡀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢠⡇⠀⢻⣿⡌⢿⡀⠀⠀⠸⡟⠿⣄⣀⡀⠀⢠⣤⣿⠇⢸⠇⠀⠀⠈⣧⠀⠀⠀⠀⠀⣠⡿⠁⣠⠴⠛⠉⠉⣹⠃ ⠀⣿⣿⣿⡆⠀⠀⠀⠈⠙⠛⠿⣿⡛⠛⠳⠾⣿⣦⡀⠀⢀⡴⠋⠙⠷⣼⣿⣿⡌⣿⣄⠀⠀⠹⣆⠠⠈⠉⠉⠉⣉⡜⣠⣿⣀⣀⡤⠞⠛⣷⡀⠀⠀⣰⡟⢁⠞⠁⠀⠀⠀⢠⣿⠀ ⠀⢻⡿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠙⢶⣄⠀⠈⠛⢿⡶⠛⢧⠀⠀⠀⠈⠻⣿⣧⢿⣿⣦⣀⠀⠈⠓⠦⣤⣤⠤⢿⣽⠃⣹⣿⠏⠀⠀⠀⠈⣷⣤⠾⣿⣷⡟⠀⠀⠀⠀⠀⣾⡟⠀ ⠀⠸⣷⣿⡇⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢷⣄⠀⠀⢱⡀⠘⣧⠀⠀⠀⠀⠺⣿⣧⣙⢿⣿⣷⣦⣤⣀⣀⣠⣶⣿⣷⣶⠿⠓⠂⠀⠀⠀⠀⢿⡁⣼⡟⣿⠃⠀⠀⠀⢀⣾⣿⠃⠀ ⠀⠀⠹⣿⣿⣿⡇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣟⡒⠺⢷⣄⣿⡇⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣹⡿⠋⠁⠀⠀⠀⠀⠀⠠⣄⣽⣿⣟⣵⠏⠀⠀⣀⣤⣿⡿⠃⠀⠀ ⠀⠀⠀⠙⢿⣿⣷⣿⣶⠄⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣷⣤⣬⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⢤⣸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⡿⣅⢀⣿⣿⠿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠻⠿⣿⣧⣠⣜⡛⣿⣷⣻⣿⣿⡿⠿⠿⣷⡀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣄⡙⠦⣤⡖⠀⠀⠀⠀⠀⠀⠀⠈⢿⠛⠿⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣟⡛⠉⠁⠀⠀⠀⢻⣷⣄⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⢿⣿⠇⠀⠀⠀⠀⠀⠀⢻⣿⡟⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⡄⠀⠀⠀⠀⠀⠈⢿⣟⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣶⠀⠀⠀⠀⠀⠀⠈⢿⣦⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⢠⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣧⡄⠀⠀⠀⠀⠈⢿⣷⠶⢿⣿⣿⣦⣀⡀⠀⠀⠀⠀⠀⢀⣴⣿⢧⣶⣤⣤⣠⣶⢾⡟⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣧⣤⠀⠀⠀⠀⠀⠻⣧⣸⣟⢿⣟⡿⣿⣶⣀⣀⣐⣺⣿⣿⣧⣤⣽⢭⣭⣍⣡⡞⣹⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣶⣆⠀⠀⠀⠀⠀⠉⢻⣆⠈⢻⣶⣄⣀⣡⡶⠞⠋⠉⠀⠈⢧⠀⠀⠘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣷⣦⡀⠀⠀⠀⣿⡝⠛⢷⣌⣿⠋⠀⠀⠀⠀⠀⠀⣸⡆⠀⢠⣿⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣻⠿⠿⠿⠻⣦⣀⡙⠻⣷⣀⣀⣀⣀⣠⡴⠟⢿⠛⠛⢹⣤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣃⠀⠀⠀⠀⠉⢿⣦⣼⡏⠉⠉⠉⠁⠀⠀⣸⣧⣤⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⣙⢿⣷⣦⣄⠀⣀⣼⣧⡈⢻⣤⣀⣀⣀⣤⡾⠛⣯⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣹⣷⣶⣾⣜⣿⠻⢿⣿⣿⡇⠈⠻⣦⣿⣯⣉⠉⡀⣀⣴⢿⢶⣿⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣌⣳⣿⣿⠀⠀⠙⢿⣷⣤⣀⣀⡉⠛⢿⣟⣛⣉⣠⣾⢿⣇⣿⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣮⢻⣾⣿⣿⣿⣿⣷⣦⠀⠀⠀⠈⠛⣛⣿⣶⣴⣭⣛⣿⣯⡀⢘⣿⣿⣿⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠔⠒⠒⠂⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣏⣀⣀⣤⡦⣥⣀⠈⠲⠒⠒⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠜⡿⠞⢉⠟⠁⠁⠀⠀⠀⠀⠀⣈⢣⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⠀⣀⡈⡉⡆⠀⡎⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⢥⠀⢀⠀⠀⠀⠀ ⠀⢸⣸⡄⣿⡟⡧⣧⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠠⠂⡸⢀⣀⢉⢃⢀⠰ ⠀⠀⢣⠹⠏⠓⠉⢛⠁⠀⠹⣄⠀⠀⡶⣦⣀⣀⣠⣒⡼⡡⠔⡨⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡤⠬⠤⡤⠔⠺⠑⢖⠈⠛⠛⢻⠟⠙⠲⣤⠥⢤⣄⡀⠀⠀ ⠀⠀⠀⡰⠋⠁⠀⢀⡠⠉⠐⠂⠤⡀⣇⠠⠔⠓⠒⠰⠈⠀⠀⠀⠀⠉⢢⡀ ⠀⣠⠜⠁⠠⢄⡠⠋⠀⠀⠀⠀⡄⠋⠁⠀⠀⢀⠄⠊⠒⠤⡀⡀⠀⠀⠀⢣ ⢰⠃⠀⠀⠀⠀⣟⠑⠉⠑⠄⠌⠤⠴⠎⣑⡲⠁⠀⠀⠀⠀⠈⠑⠄⠀⠀⡼ ⡨⠀⢀⠄⠒⠊⠛⢄⡢⢀⠀⠀⠀⠀⠀⠀⠉⠢⡀⠀⠀⠀⠀⠀⠈⠆⡼⠁ ⡇⠀⠀⠀⠀⠀⠀⠀⠓⢄⠈⠁⠒⠒⠀⠀⠀⠀⠹⠉⠉⠀⠈⠉⢀⡼⠁⠀ ⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊⠀⠀⠀ ⠀⠹⣄⣀⠀⠀⠀⢀⣀⣀⣤⠶⠷⢦⣄⣀⠀⠀⠀⢀⣤⣶⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠯⠉⠹⠁⠀⠀⠣⠀⣀⡀⠀⠋⠉⠐⠭⠻⡿⠃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⠋⢉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠋⣡⣞⣴⡿⠋⠀⠀⢀⣀⣠⣤⣤⣄⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢿⢃⣾⡿⠛⠁⠀⣠⡶⢟⡫⠽⢛⡷⠀⠈⠻⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⡇⣿⡟⠀⠀⢠⡾⢋⠔⣩⣔⣪⣥⣤⣤⣤⣴⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣧⣿⣧⣤⣴⣿⣁⢉⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⢦⡀⠀⠀⠀⠀⠀⢀⣴⠿⠛⠉⠁⠀⠀⠀⠈⠙⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣄⣤⠇⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠁⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⠀⣿⡆⠀⠀⠀⡸⠷⣄ ⠀⠀⠀⠀⡀⠀⠀⣿⠀⠀⠀⠀⠀⠰⠾⠛⠂⠀⣀⠈⠃⠀⠀⣿⠃⠀⠀⠘⠷⢤⡾ ⠀⠀⠀⢸⣛⡆⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠿⠶⠆⠀⢰⡟⠀⠀⠀⠀⠀⠈⠁ ⠀⠀⠀⠀⠉⠀⠀⠘⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⢀⡷⡆ ⠀⠀⣀⣀⣤⣤⣤⣤⣬⣿⣷⣦⣤⣀⣀⣀⣀⣠⣤⣴⠿⢿⣟⠛⠛⠷⣦⡀⠀⠋⠁ ⢠⣿⠋⠉⠉⠉⠁⠀⠀⢀⣿⠏⠉⠉⠛⠛⠛⠉⠁⠀⠀⠈⢿⡷⣶⠄⠘⣷⠀⠀⠀ ⠈⠛⠷⠶⠶⠶⣤⣤⡴⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠛⠀⣠⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠿⠶⠟⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣆⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⣽⣿⣶⣶⡶⠶⠿⠻⣯⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠈⠹⣷⣄⠀⠀⠈⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢷⣦⡀⠀⠈⢻⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣴⠟⠛⠷⣶⣼⠇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠶⠞⠋⠻⠿⠶⠖⣚⣻⣁⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠾⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⢦⡈⠉⠉⠙⠲⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⢋⣵⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣽⣷⡤⠀⠀⠀⠘⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⡧⠀⠀⠀⠀⠈⢿⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⢁⡾⠁⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀⠀⠈⢷⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣣⠟⠀⠀⠀⠀⠀⢀⣴⠞⠋⠉⠈⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⣴⠟⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡀⠀⠀⠀⠀⠸⡄⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⣴⠋⠀⠀⢀⣤⣤⣄⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⡼⠋⠁⠀⠀⠙⠳⣤⠀⠀⠀⢳⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⢠⡟⠀⠀⢀⣾⣿⣿⣿⡆⠀⣼⠁⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠘⡇⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⢼⠀⠀⠀⢸⣿⣿⣿⣿⡇⢀⡟⠀⠀⠀⠀⠀⠀⡇⢠⣴⣶⣦⡀⠀⠀⠀⢻⡄⠀⠀⢳⡀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠸⣿⣿⣿⠟⠁⣾⠁⠀⠀⠀⠀⠀⢰⣇⣾⣿⣿⣿⡇⠀⠀⠀⠀⣧⠀⠀⠸⡇⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠾⢥⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣤⣄⣀⠉⠁⠀⣸⠇⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠇⠀⠀⠀⢀⣿⠀⠀⠀⢹⡄⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠋⠁⠀⣤⠤⣤⣤⣀⠀⠀⢻⡻⢿⠿⠋⠀⠀⠀⢀⣾⠋⠀⠀⠀⠈⣧⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⢠⡞⠉⢷⠀⠀⠀⠀⠀⠀⠀⠀⠐⠺⣇⠀⠀⠀⠀⠛⢦⣀⡠⠬⠗⠀⠈⠻⠶⣤⣀⣀⣀⣴⠟⠁⠀⠀⠀⠀⠀⠸⣇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣠⡾⠓⠲⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠦⢄⣀⣀⡤⣆⡀⠀⠀⠀⠀⣠⣄⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣆⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣼⣻⣃⣀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⣿⣿⣽⣿⡏⠉⠳⡾⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠁⣤⡌⣹⡟⠀⢀⡇⠀⠈⠻⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢦⣰⡏⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡶⡿⣿⣿⡍⠲⢾⣇⠀⠀⢸⠇⡿⠙⠶⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⠁⠈⢻⡁⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⣷⣥⣾⡿⠃⠀⡎⠉⠓⠲⠿⠶⠷⠶⠖⠚⠋⠙⠓⠲⠶⠦⠤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⠤⠴⠶⠻⡏⣇⠀⠀⠀⠸⡇⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣿⠁⠀⠙⢦⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡴⠶⠶⠶⠶⠶⠶⢤⣀⠀⠀⠀⠉⠙⠶⣄⡀⠀⠀⣇⣿⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡟⣿⠀⠀⠀⠀⢹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠈⠻⣦⠀⣿⠸⡆⠀⠀⠀⠘⣇⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀ ⠀⠀⢀⣾⠀⠈⣿⢹⡀⢀⡼⠉⠙⠳⣶⢤⣄⣀⣀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⢠⡀⠀⠀⠀⠘⡇⢸⡄⣷⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⣼⠧⢶⣾⡅⣼⣷⡏⠁⠀⠀⢀⡟⣼⠁⢨⡟⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⢹⣆⠀⠀⣰⠇⠀⣷⢹⡄⠀⠀⠀⠈⣧⠀⠀⠀⠀⠘⣇⠀⠀⠀ ⠀⠀⣿⠟⠉⣿⣄⢿⣾⣧⠀⠀⠀⢸⢇⡟⠀⣾⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠹⣦⡴⠟⠀⠀⢹⡾⣇⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⢿⠀⠀⠀ ⠀⣸⠇⠀⠀⣿⢻⠈⣿⣧⡀⠀⢠⣯⣾⠁⣼⠃⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠙⣦⠀⠀⠀⠈⣷⢹⡆⠀⠀⠀⠀⣷⠀⠀⠀⠀⠘⣇⠀⠀ ⠀⣿⠀⠀⠀⠻⣿⣷⣜⢻⡿⢦⣼⣫⣿⠟⠁⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠈⢷⠀⠀⠀⢸⣿⣷⡀⠀⠀⠀⠘⣆⠀⠀⠀⠀⢿⠀⠀ ⢰⡇⠀⠀⠀⠀⣿⠋⠉⠳⠛⢸⠗⣿⡟⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⣧⠀⠀⠀⢻⡜⣧⠀⠀⠀⠀⢹⡄⠀⠀⠀⢸⡇⠀ ⢸⠇⠀⠀⠀⣼⠃⠀⠀⠀⢰⡏⣸⢿⡇⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⣿⠀⠀⠀⠀⢻⡼⣇⠀⠀⠀⠀⢻⡀⠀⠀⠀⢧⠀ ⣿⠀⠀⠀⢀⡏⠀⠀⠀⢠⡟⢰⠇⢸⡄⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠈⢳⡼⣇⠀⠀⠀⠀⣿⠀⠀⠀⢸⡄ ⢿⡀⠀⠀⢸⡄⠀⢀⣴⠟⣰⠏⠀⠈⣧⡀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠈⢳⡼⣆⠀⠀⠀⣸⠀⠀⠀⢸⠇ ⠘⣧⡄⠀⠀⠛⠛⢋⣤⠞⠃⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠈⠳⢤⣄⠀⠀⠀⠀⠀⠀⢀⣤⠜⠃⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢻⡝⢦⣤⡤⠟⠀⠀⣰⠏⠀ ⠀⠈⠛⠛⠒⠒⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠙⠛⣦⣄⠀⠀⠀⠀⣀⡬⢿⣗⠒⠒⢒⡿⢯⣄⡀⠀⢀⣀⣠⡴⢿⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣤⣤⣤⡴⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣤⡤⠴⠒⠛⠋⠉⠀⠉⠉⠉⠉⠁⠀⠀⣹⠀⠀⣾⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠈⠙⠛⠦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⡴⠖⠋⠉⠉⡉⠁⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡉⠉⠓⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⢠⡼⠋⠀⠀⢰⡞⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠎⠁⠀⠀⠀⠀⠉⠓⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢶⡄⠀⠀⠀⢸⡄⠀⠀⣸⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣦⣀⣀⣸⡅⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⣀⣠⠶⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢦⣀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣸⣇⣀⣰⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⠙⠶⠶⠤⠼⠷⠶⠶⠶⠒⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠤⣤⡤⠴⠿⠶⠶⠞⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⠋⢲⡀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⣠⡿⠓⠶⢤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠙⢦⡀⠳⣄⠀⠀⠀⠀⠀⠀⠀⢸⠃⢠⡟⠀⠀⠀⢀⡇⡿⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⢳⡀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⣾⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⢿⠀⡇⠀⠀⠀⠀⠀⠀⢀⠀⢸⠀⠀⠀⣰⣷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡘⢷⣄⠀⠀⠀⠀⢸⡄⢻⣤⣒⣿⠻⠭⣝⡁⠐⠺⢤⣀⡴⢳⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠈⠓⢿⡦⣄⡀⢀⡷⠞⠁⣰⠁⠀⠀⠀⠈⠳⣄⠀⠙⠶⠤⣙⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⣠⡼⠛⠛⢋⣠⠶⠋⠙⠀⠀⠈⠱⢄⠀⠈⢧⠀⠀⠀⠢⡉⠛⢿⡦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⢀⣼⠏⠀⠀⣠⠞⠉⠁⠒⠀⠀⠀⠀⠀⠈⢣⡀⠈⢳⢀⠀⠀⠙⢦⠀⠙⠾⢦⣀⣀⣀⣀⣀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⣼⡏⠀⢀⣾⠏⠀⠀⠀⠀⠀⢰⣦⡀⠀⠀⠀⠑⠄⠈⣷⠳⡀⠀⠈⠳⡄⠀⠀⢀⣉⣩⣤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡼⠋⠀⠀⠀⣸⡟⠀⢠⣾⠃⠀⠀⠀⠀⠀⢸⠻⣇⠻⣆⠀⠀⠀⠀⠀⠘⡄⠙⣄⠀⠀⠸⡎⠉⢡⣀⡀⣀⣉⣷⡦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣄⡤⠋⠀⠀⠀⠀⢠⡿⠃⢠⠜⠁⠀⠀⠀⢠⠀⠀⣼⠀⣼⡏⠚⣧⢀⠀⠀⠀⠘⣿⠀⠘⡄⢰⠀⠸⡆⠀⠀⠙⠒⠦⢤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠉⠀⠀⠀⠀⠀⣠⠞⢠⠔⠁⠀⠀⢠⡆⠀⣿⠀⠀⣿⠤⠖⠛⠛⠭⣯⣧⡀⠀⠀⢹⣆⢀⣹⣼⠀⠀⢹⣤⣄⡀⠀⢀⣀⣤⡤⠴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⠴⠊⣁⠞⠁⢀⣰⠇⠀⢸⡇⠀⡏⠀⠀⣿⠀⠀⠀⠀⠀⢈⣻⡷⠀⠀⠘⣿⣓⣿⣻⣿⣛⠘⡇⠀⠭⠭⣙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⠤⠤⠶⢵⡶⠊⢩⡵⠀⠀⢸⡇⠀⣇⠀⢠⣿⠀⠀⣀⡠⠶⠊⠉⢿⣷⡀⣄⣿⣿⣿⣿⣿⣿⣧⣽⠀⠈⠳⣄⠉⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠟⠀⢀⣾⠃⠀⠀⢸⡇⠀⣿⠀⣼⣿⣶⣞⣛⣂⣀⡀⠀⠈⣿⣿⣿⣿⠿⠟⠹⠋⣿⣏⢻⣷⠤⠤⠬⠽⠶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⡴⠊⠁⠀⢀⡼⠁⠀⣠⡴⠉⣇⡀⠸⡀⢻⣿⣿⣿⡿⠿⠛⠋⠉⠀⢻⣿⢻⣿⠀⠀⠀⢠⣿⣿⡜⠟⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣄⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠀⠀⠀⣴⣋⣤⠴⠛⡇⠀⢸⣿⣷⡄⠀⠀⣿⡅⠀⠀⠀⠀⠀⠀⠀⠈⠇⠀⠛⠀⠀⠀⢸⡿⣿⣿⣦⡿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⢤⣄⠻⡳⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠛⣿⣹⢫⠟⢀⡇⠀⣸⣿⡆⣿⡄⠄⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠂⣻⡇⠀⠙⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡦⣬⣓⢤⠙⣷⠘⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡿⢻⠇⢸⡿⢱⠀⡇⠘⣿⣿⣿⣮⢪⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣟⣹⠀⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠽⢷⣄⠙⠳⣄⢳⡸⡆⠀ ⠀⠀⠀⠀⠀⠀⢸⡃⢸⠀⢸⡇⠸⣇⡇⠀⠹⣿⣿⠹⣷⣙⢿⣷⣦⣄⣀⡀⠀⠀⠀⠀⣀⣾⣿⣿⣿⠀⣿⡟⣗⠒⠲⠶⢤⣀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠶⣈⠓⠆⠀⠀⠁⢱⡀ ⠀⠀⠀⠀⠀⠀⠀⠅⠀⠀⣸⠀⢀⡼⣇⠀⠀⡿⣝⣦⢹⡙⢿⣯⠑⠾⢭⣉⡛⠒⠶⠶⢟⣽⠉⢸⣿⡀⣸⡇⠈⠳⡀⠀⠀⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡆⠀⠀⠀⠀⠈⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⠶⠋⠀⢹⣀⡾⠀⢘⣮⠆⢷⠀⢻⡳⠀⠀⠈⠉⠁⠒⠒⢛⣁⣴⡋⠛⢧⣿⡀⠀⠀⠙⢦⡀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢸⣿⠤⠚⠉⠹⡄⠘⡆⠈⢧⠀⠀⠀⠀⢀⡤⢖⣺⣿⣻⣇⣀⣈⣿⣧⡀⠀⠀⠀⠙⢦⡀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠜⠫⣥⣤⣀⣀⣀⣷⠀⢸⡄⢸⣆⡀⠀⠀⠹⣄⣀⣬⣿⡛⠀⠈⠉⠁⠁⠙⠳⣤⡀⠀⠀⠙⢦⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠓⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠃⢸⡇⠈⠛⠒⠤⠬⠿⠟⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣄⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⢳⡄⢀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢤⡀⠘⣆⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢱⣼⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣆⠸⡆⠀⢀⡴⠋⠙⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣟⡁⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⢸⠀⠀⠹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠑⠒⠾⢆⣹⣴⠋⠀⠀⠀⠈⠙⠲⣾⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⢳⣀⠀⠀⠀⠀⠀⠀⢀⡾⠉⠳⢾⡆⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⣀⣀⣈⣷⡉⠱⣄⠀⠀⠀⠀⣸⠃⠀⠀⠐ ⠀⠀⠀⠀⠀⠀⠀⣴⠁⠀⠈⠓⠦⢤⣤⣤⣦⣿⡅⠀⠀⢸⡇⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⡇⠀⠀⢹⣇⠀⠨⣗⣄⠀⣼⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⣾⡟⠻⡄⠀⠀⢸⠇⠀⠀⢸⣧⢀⡤⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⢠⡇⠀⠀⢸⣿⠀⠀⠘⢦⠛⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⢿⠀⠀⠀⠀⠀⠀⠀⣠⡟⠀⠀⢿⠀⠀⣼⠀⠀⠀⢀⢸⠟⠁⠀⠀⠈⠛⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⢸⠃⠀⠀⣼⠙⣦⠀⠀⠀⠻⡄⠳⣄⠀⠀⠀ ⠀⠀⠀⠀⢠⠋⠈⢧⣀⠀⠀⠀⠀⣾⠏⠀⠀⠀⠀⢷⡀⣿⠀⠀⠀⠈⢣⠀⣠⠴⠤⣀⡀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠀⣰⠃⠀⣼⠀⠀⣤⡇⠀⠈⢧⣀⠀⠀⠙⣆⠸⡄⠀⠀ ⠀⠀⠀⢠⠏⠀⠒⠒⠚⠓⠲⠿⣽⠃⠀⠀⠀⠀⠀⠀⠙⣏⠀⣆⠀⠀⣼⡌⠁⠀⠀⠀⠙⠦⣀⠀⠀⠀⠉⠲⢄⣀⠀⣠⠏⠀⢠⠏⠀⣰⣿⡇⠀⣠⠿⢻⡀⠀⠀⢹⡀⢣⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠋⠱⣄⠀⠀⠀⠀⠀⢸⠋⢸⡟⡆⢰⣉⣧⠀⠀⠀⠀⠀⠀⠈⠙⠦⣄⡀⠀⠀⠉⠓⠋⠀⠀⡾⠚⠙⣻⣿⡷⠛⠁⠀⢸⣿⠀⠀⠀⠗⡈⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⢸⠀⠀⡇⠹⡄⠙⠸⣇⣀⠀⠀⠀⠀⣀⣠⠴⠛⠙⠒⢦⣀⣀⣀⣠⠞⠁⠀⠀⣿⣿⡇⠀⠀⠀⢸⠁⢷⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⢿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⢸⠀⠀⢹⡀⠡⠀⠀⠹⡌⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⣸⠀⠸⡆⠀⢸⠇⠀⠀ ⠀⠀⠀⠀⠻⣬⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠉⠙⠓⠾⣧⠀⠘⡇⠀⠀⠀⠀⠹⣄⠀⠀⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠈⢣⡀⠀⢠⠏⢀⣴⣇⠀⡼⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⠲⢤⣄⡀⠠⠀⢠⡏⠀⠀⠀⠀⠀⠀⣿⠳⡄⠸⣆⠀⠀⠀⠀⠈⢦⡀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⢱⣤⠏⠚⠋⠀⢿⣰⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⡽⠟⠉⢀⡀⢀⣤⣤⠖⢹⡄⠈⢢⠘⣆⠀⠀⠀⠀⠀⠙⢦⡀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠉⠓⠶⢤⣀⡈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⣦⣖⡿⠞⠋⠋⢣⡀⠀⢣⡀⠀⠳⡌⠳⣄⡀⠀⠀⠀⠀⢙⢦⣀⡈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠨⡙⢶⣄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠋⠉⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⣰⠋⠀⠀⡠⠚⠉⠀⠀⣠⠔⠀⠀⣀⡤⠤⠤⣄⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠖⠲⡄⠀⠀⠀⠀⠉⠁⢰⡃⠀⠀⣼⠥⠤⠤⣴⣭⣁⣠⠖⠋⠀⠀⠀⠀⠈⣷⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⠁⠀⣠⢬⡀⠀⠀⠀⢀⣴⣞⡡⠤⠤⠴⠒⠒⠒⠶⠤⢌⣁⡀⠀⣴⠚⠋⠉⠉⠁⠀⢠⠋⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡼⠁⠀⡰⠁⠀⠁⠀⠀⡴⠋⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢷⣄⠀⠘⠀⢠⠃⢠⠞⠣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⠃⠀⢰⠃⠀⠀⠀⠀⣼⣡⠼⠖⠒⡺⣏⠉⠉⠉⠉⢉⡽⠑⠒⠲⠤⣀⠀⠀⢿⡇⠀⢀⠇⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡟⠀⠀⡎⠀⠀⠀⣀⣤⣿⠁⢠⡊⠉⠉⡷⠀⠀⠀⠸⡟⠉⠉⢳⠀⠀⠀⠉⠓⢶⣿⢤⣼⡀⣸⣤⣌⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡇⠀⢠⠁⣠⣴⠞⠛⡿⡏⠀⠀⠉⠀⠉⠁⢤⡤⠀⠀⠑⠲⠒⠋⠀⠀⠀⢀⠀⣼⡇⠀⡟⢦⡇⠀⠈⠙⠿⣶⣀⠀⠀⠀⠀⠀ ⠀⢸⠁⠀⢸⢰⠟⢃⣀⠴⠤⣼⣀⠀⠀⠀⢠⣀⡼⢆⣀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠁⢸⠀⢸⠀⠀⠀⠀⠀⠘⡌⠙⢦⡀⠀⠀ ⠀⢸⠀⢠⣿⡏⠀⠉⠀⠀⠀⠈⢧⢂⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣇⣤⡾⠁⠀⡌⠀⡼⠈⠐⠒⠢⣀⠀⢱⠀⠀⠻⣦⠀ ⠀⢸⣴⠛⣷⡟⠀⠀⠀⠀⠀⠀⠀⠳⢄⡃⠘⠀⢰⠀⢦⠀⢄⠰⢦⣲⣌⣑⣶⠏⠀⠀⢠⠇⡀⡇⠀⠀⠀⠀⠀⠁⣸⠂⠀⡀⠈⣱ ⠀⣸⠃⢀⠇⢧⡀⠀⠀⠀⠀⠀⠀⠈⠢⢌⣓⠶⣤⣥⣬⣤⣬⣥⣴⣾⠿⠋⠘⣀⡠⠔⢹⠋⢀⠇⠀⠀⠀⠀⢀⣴⠟⠀⢠⠇⢀⠇ ⢀⣿⡄⡎⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⡴⠀⠈⠉⠒⠯⣝⠛⠻⠟⣫⠥⠒⠚⠉⠁⠀⠀⠈⢣⣸⠀⠀⠀⣀⠔⠋⠀⢀⣴⢃⡠⠊⠀ ⣼⠇⠛⣇⠀⠀⠀⠀⠈⠓⠶⣤⣤⠎⠀⠀⠀⠀⠀⠀⠈⠓⢀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣢⣴⣾⠷⡶⢶⣾⠛⠛⠉⠀⠀⠀ ⠹⣦⡀⠘⠦⣄⣀⠀⠀⣀⣴⣿⠛⣦⣀⠀⠀⠀⠀⠀⠀⠀⠸⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⢃⡜⠀⠀⠻⣇⠀⠀⠀⠀⠀ ⠀⢻⣿⡄⠀⠀⠀⢉⠙⣏⠀⠈⣧⠀⠙⠷⣦⣤⣄⣀⣀⣀⣠⣷⣄⣀⣀⣀⣀⣀⣀⣤⣤⢾⣿⣿⡷⡋⡇⠀⠀⠀⢹⡆⠀⠀⠀⠀ ⠀⠀⠙⢿⣆⠀⠀⢸⢁⡘⣆⠀⢹⠀⠀⠀⢸⡟⠷⠤⢀⣀⣀⣹⣦⣍⣩⡭⢹⠉⠛⢻⣾⣿⡾⠏⢰⣿⣧⢀⠀⠀⠈⢻⡆⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⠦⣞⡁⠀⠈⢦⣸⠀⠀⠀⡞⡇⠀⡇⠀⠙⠻⣏⡈⠻⢻⣿⢿⣟⠛⢻⢿⣼⣇⠀⣸⣿⣁⡾⠇⠀⠀⢠⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢱⣜⣿⢢⣄⣀⣽⣧⡀⠀⡇⡇⠀⡇⠀⢀⠀⠀⠉⠑⠚⠟⢞⡛⠂⠏⠀⠀⠉⠹⣧⣄⠉⠀⠀⢰⠀⣻⡇⠀⠀⠀ ⠀⠀⠸⠀⣤⡾⠋⠀⡤⢀⣈⣠⣾⣯⣷⣼⠁⢧⠀⡇⠀⢸⡆⢠⡀⠀⠀⠀⣠⢽⡷⢶⣖⠒⠂⢠⣿⠶⢿⠦⠤⠽⠓⢿⡇⠀⠀⠀ ⠀⠀⠀⢰⣇⡟⠀⢀⡾⠋⠀⢠⡆⠈⠀⣿⠀⠈⠀⣣⡴⠆⢣⡌⣧⡤⠤⠴⣇⣼⠀⣸⠀⠀⣤⢸⣿⣀⣏⠀⣚⠀⢀⣾⠁⠀⠀⠀ ⠀⠀⠀⠈⠛⠳⠤⣿⠀⠀⠀⣿⣶⡤⠼⠛⡇⣀⣤⡿⣤⠀⢸⡇⢸⠀⠀⠀⠀⠈⢉⣉⣉⣉⣿⡿⡇⠤⠬⠹⠛⠋⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠶⣿⣤⣤⡴⠿⠟⠋⠙⠛⠛⠛⠛⠛⠿⠘⠚⠛⠛⠒⠖⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⡀⠀⠀⢹⡀⠀⠀⠀⢀⠴⠋⢉⡉⠱⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⡜⠀⠀⠀⣸⠁⠀⠀⢠⠃⣠⠞⠁⣠⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⡇⠀⠀⣰⠃⠀⠀⢠⡇⢰⠁⠀⠀⣁⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⢣⠀⣠⡇⠀⣀⡠⠼⠦⣦⣠⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡈⢳⣿⠗⠉⠀⠀⠀⠀⠀⠈⠓⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡞⠁⠀⠀⣠⡀⠀⠀⢐⣦⠀⠈⣧⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠘⠋⢀⣤⣤⠀⣀⣀⣼⡀⠀⠈⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠒⠒⠉⢻⡀⢾⢿⡿⠀⠘⠛⠛⠀⠘⠻⣿⠃⣀⠤⠠⡀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡖⠉⣠⠴⠒⠒⠒⠚⠉⠙⢷⣦⣤⣀⣀⣀⠀⣀⣠⢾⡟⢠⠃⠀⠀⠘⠄⢹⠒⠦⢤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⡼⠁⠀⠰⡄⠀⠀⠀⠀⠀⠈⠙⠺⣿⡟⠉⡽⣵⠏⠀⣼⠃⠀⠀⠀⠀⠈⡆⠀⠀⠈⠙⠦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⢰⠃⠀⠀⠀⠹⠀⠤⠤⢄⡀⠀⠀⠀⠈⢧⠐⡀⠀⠀⠀⢻⠙⠒⠤⠤⠴⠀⠃⠀⠀⢀⣀⣀⡙⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠋⠰⡀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠈⡏⣷⠂⠀⠀⣸⣁⠂⠀⠀⠀⢠⡴⢚⣩⠤⣀⣀⡈⠉⠲⡄⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣀⢹⡀⠰⡄⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⡇⣼⠲⡄⣠⡟⠚⠓⢦⣀⡀⡾⡴⠋⠀⠀⡀⠉⠉⠣⣄⠸⡄ ⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⢙⣧⡄⠘⢦⡀⠀⠀⠀⠀⠈⡆⠀⣰⣧⠘⣟⣛⡟⣀⣤⠞⠉⠙⠿⠷⠷⣦⠀⣸⠁⠀⢀⠀⠀⠿⣇ ⠀⠀⠀⠀⠀⢸⠀⡀⠀⠀⠀⠀⢸⠀⡇⠰⡀⠑⢄⠀⠀⠀⢀⠁⠀⡘⠹⣤⣞⣋⣸⣹⠃⠰⠆⠀⢀⣀⠀⠸⢶⡇⠀⠀⡼⠀⠀⡄⢻ ⠀⠀⠀⠀⢀⡿⠞⠃⠀⠀⠀⠀⡌⠁⢇⠀⢳⡀⠀⠙⠛⠋⠁⠀⠸⠁⠀⡇⠀⠀⠀⠉⠉⠓⠆⠀⠀⠉⠀⠀⠀⠙⣧⡞⠁⢀⡜⢀⠞ ⠀⢰⡴⠋⠛⠳⣄⠀⢀⠀⠀⠀⢧⡀⠸⡄⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢤⡏⠓⠒⠚⠛⠁⠀ ⡠⠿⢤⣄⣄⠀⠘⢉⣓⣦⣤⣀⣰⣭⣉⣹⣄⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠐⣋⠀⠀⢀⣔⣢⠴⠛⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠛⡿⠉⠉⠁⠀⠀⠸⡄⠀⠀⠀⠈⠑⢦⡀⠙⢦⡀⠀⠀⠀⢰⠅⠀⠀⠀⣀⡤⠊⠁⢀⡼⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠉⠳⢄⠉⠢⢄⡀⠈⠠⠚⠉⠉⠀⢀⣠⡔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣠⠤⠤⠖⠒⠒⠒⠋⠉⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⣀⡠⠤⠒⠚⠉⡹⠃⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡤⠔⠒⠉⣀⡤⡤⠖⠊⠉⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠞⠋⠳⢶⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⣀⠄⠀⠀⠀⣧⠀⠀⠀⠀⠀⣠⠞⠋⠀⣀⡀⠈⠻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⣸⠁⠀⠀⠇⢀⡟⠀⠀⠀⠀⣰⠃⠀⡤⠚⠁⢀⠇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣿⠀⠀⠀⠀⡼⠁⠀⠀⠀⢠⠇⢀⡞⠀⠀⠀⠟⢀⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⡇⠀⠀⠀⣼⠃⠀⠀⠀⠀⣿⠀⡾⠀⠀⢀⣠⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡀⢸⡀⢀⡆⡇⠀⣀⣠⠴⠾⠿⠶⠧⣤⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡀⠻⣼⣶⠗⠛⠁⠀⠀⠀⠀⠀⠀⠀⠙⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣤⡾⠁⠀⠀⠀⡀⠀⠀⠀⠀⠠⣆⠀⠀⠹⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠁⠀⠀⠀⠀⣿⣦⠀⠀⠀⠐⠻⠃⠀⠀⢻⡉⠉⠓⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡀⠀⠀⢀⣀⣉⠁⠀⣴⢷⣶⡄⢰⣴⣤⣾⣧⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠶⠚⠛⠉⠘⢧⠀⢼⣟⣿⣟⠄⠀⠻⠿⠛⠁⠀⠙⠿⣽⡇⠀⢀⣀⢀⣀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠁⣀⡤⠤⠤⠤⠤⠶⠬⠳⡤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠆⢰⠃⠀⠀⠈⢣⡀⢻⡤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⣰⠟⠁⢀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠯⣭⡓⢯⣶⣶⠤⠖⡾⢫⣼⠃⢠⣿⡄⠀⠀⠀⠀⠁⠘⡇⠀⠈⠉⠓⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⣰⠃⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⡝⠂⠸⢱⠟⠁⠀⢸⣏⠁⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⢀⡟⠀⠀⠀⠀⠀⠳⠀⠤⠤⢄⣀⡀⠀⠀⠀⠀⠀⠹⡆⠘⡄⠀⠀⠀⠀⢘⣯⠙⠳⠦⢤⣤⠴⠂⠸⠀⠀⠀⠀⣀⣀⣀⠈⢻⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⡼⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⢻⠘⢷⣄⡀⠀⠀⠀⣿⠐⠤⠀⠀⠀⠀⠀⣀⣤⠶⠛⣉⠀⠀⠀⠉⠛⠻⣄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⠀⢸⡆⢸⣆⡀⠀⠀⢸⣇⣳⣄⡈⠑⠀⠀⢸⡟⣡⡴⠛⠉⠙⠳⠶⠶⣤⡀⠀⢳⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠰⣄⣹⠄⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⢸⡇⢸⡏⢹⣂⣲⡟⠉⠁⠈⢛⣶⣤⣄⣿⢲⠏⠀⠀⠀⢠⠀⠀⠀⠈⠳⢦⣄⢷⠀ ⠀⠀⠀⠀⠀⠀⠀⣺⠀⠀⠀⠀⠀⠀⠀⠈⢙⣷⣤⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⣿⣷⠈⢿⡙⠚⡿⠁⣠⣴⠟⠉⠉⠙⢿⡿⠿⢽⣤⠀⢠⡟⠀⠀⠀⠀⠀⢐⣟⢾⡇ ⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⣿⠀⢠⠈⠳⣄⠀⠀⠀⠀⠀⢀⠇⠀⠀⡟⢻⡀⢀⡿⠋⢠⡏⣽⠃⠀⣦⠀⠀⠀⠀⠀⠀⢿⣦⣾⡁⠀⠀⢠⡟⠀⠀⣄⠸⢧ ⠀⠀⠀⠀⠀⠀⢠⣇⣠⢾⠀⠀⠀⠀⠀⠀⠻⡄⣿⠀⠈⣆⠀⠈⠓⢦⣤⣤⡴⠞⠀⠀⣼⠁⠀⡟⠛⠛⠓⠚⠳⠧⠤⣄⡉⠀⠀⠐⠿⠂⠀⠀⠙⠻⣦⠀⢠⠟⠀⠀⣰⠏⢀⡟ ⠤⡀⠀⠀⣀⣄⣼⠟⠁⠈⡀⠀⠀⠀⠀⢰⡆⠀⢹⡄⠀⠸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣧⡀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀⠤⠀⠀⢸⣿⡏⠀⠀⣰⠏⣤⠞⠁ ⠀⢘⣦⠾⠋⠙⠛⢷⣄⡀⠱⡀⠀⠀⠀⠘⣧⡀⠐⢷⡀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⠦⣼⡇⠙⠒⠚⠛⠋⠁⠀⠀ ⢀⣼⣇⣀⡀⣀⠀⠀⠸⠛⠳⢶⣄⣀⠀⠀⣴⣉⣓⠚⢷⡀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⢀⠀⠴⠾⡋⠀⠀⠀⢠⠴⢊⣠⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠀⠉⠉⠛⢿⣶⣤⠴⠶⠶⠒⠚⠛⠛⣟⠉⠉⠉⠙⠛⠻⢦⡀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠁⠈⠀⠀⠀⠀⣠⠞⠁⠀⢠⣶⠷⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⠍⡸⠃⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠙⠳⣄⡀⠙⢦⣀⠀⠀⠀⠀⣼⠀⠀⣀⣀⣀⠤⠶⠋⠁⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⣄⠈⠓⠦⣄⣀⡃⠠⠚⠁⠀⠀⠀⠀⢀⣠⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⣈⣉⣤⣤⡤⠤⠤⠴⠒⠚⠉⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢉⢀⣀⣠⠴⠶⢶⡖⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢀⣠⠤⠀⠀⠀⠀⢀⣀⣠⠴⠖⠛⠉⠀⢀⣀⣠⠏⠀⠀⠀⠀⠀⢀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠤⠖⠚⠉⠀⣀⣤⢤⡶⠟⠋⠁⠀⣀⡀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⠀⢀⠠⠄⠀⣠⠮⠉⣉⠠⠖⠂⠈⡉⠀⠐⠒⢄⠀⠀⠀⠀⢀⣀⣠⣾⣮⣝⣏ ⠀⠒⠒⠒⠛⢉⡥⣚⣩⠶⠇⠀⢀⠤⠊⢀⠎⠈⡼⢦⢄⡔⠑⠚⠻⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢸⡾⣃⣚⠴⠞⣀⢨⣐⡁⠸⠗⢶⣻⡠⡑⣣⡀⠀⠠⠴⢶⣶⣿⣿ ⠀⠀⠀⠀⡰⣫⠇⠁⠀⠀⡘⠀⢽⠍⠰⠄⠀⠀⠉⢷⣡⡀⢉⡦⠀⠀⠀⢸⣿⣿ ⠀⠀⠀⣠⠖⠁⠀⠀⢀⠔⢃⣀⡈⠉⠂⠂⠀⢀⣠⠔⠑⢍⠉⠉⠫⡾⠚⢰⣿⣿ ⢀⣠⡞⣧⣠⠴⠊⠉⠯⠈⠀⠘⠻⢶⣶⣿⡿⠋⠀⠀⠀⠀⠉⠉⠒⢄⠀⡿⣻⣿ ⠋⠉⠉⢙⡇⡄⠠⠀⡰⠀⠀⠀⠀⠈⠻⡋⠀⠀⠀⠀⠀⡄⢀⡁⡄⣸⣧⣼⣿⣿ ⠀⢀⡤⠊⠳⣡⢾⣿⡇⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⣿⣯⣼⣽⠟⢿⣿⣿ ⡀⠈⡇⠄⠀⡰⠁⢨⣿⣦⣄⣠⣄⣠⠴⠷⣤⣀⣀⣀⣴⣿⡏⠀⠀⠀⢠⢺⣏⠉ ⢁⣴⠏⢢⣴⠁⣠⡿⣿⣿⣿⣟⣉⠤⣤⠤⣤⠭⢿⣿⣿⣿⣧⡀⠀⡀⡜⢸⣿⣷ ⡇⣯⢈⠈⣿⣾⠋⠀⢰⣿⢽⡴⠦⠴⠤⠤⠶⠖⣛⣽⣿⡏⠹⣿⣿⡏⠀⡎⣧⡙ ⣿⡏⣌⠀⠈⣇⠀⠀⢸⣿⠻⣯⣒⣶⢦⠤⠶⠟⡿⠊⣰⠃⣠⡾⣿⠁⠠⠿⣿⢻ ⠘⡇⠘⠚⣰⡽⠀⣠⣼⣿⣦⣥⣠⣄⠬⠤⠤⣺⡒⠚⣻⣿⠋⠀⡿⠀⠴⠇⣿⣾ ⠷⣿⡜⣤⣟⣥⢸⣿⣹⠿⠧⢤⣀⣸⣆⣤⣤⣿⣿⠯⢟⣻⢀⣀⣿⣇⢀⢠⣿⣿ ⠀⠸⣹⠗⠛⠻⢼⡷⠟⠿⣷⣞⣿⣿⣿⢻⣿⡿⠎⠙⠛⢸⡋⢉⣵⣟⣷⢿⠹⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢊⠁⠉⡄⠀⢀⠔⣂⠐⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⡰⠀⠀⠆⠌⠀⣂⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠡⣰⡣⠄⠚⠚⠰⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠋⠀⢠⡀⠀⠆⠈⡦⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠘⡆⣴⣦⠠⠿⠂⠶⡷⢀⣀⡱⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⠊⠔⢂⠉⠉⠈⠳⠖⣤⣤⢤⡾⠃⡇⠀⠑⢹⠐⠂⢄⡀⠀⠀⠀ ⠀⠀⠀⠀⡰⠁⡘⠀⠀⠃⠠⠤⡀⠀⠈⢇⡄⠁⠘⡗⠠⠤⠀⢀⡀⠀⠘⡄⠀⠀ ⠀⠀⠀⢰⠁⠀⠀⢢⠀⡀⠀⠀⠈⢂⠀⢸⠸⠅⣰⠵⢄⡀⣘⡕⠊⡒⠒⢌⢣⠀ ⠀⠀⠀⡌⠀⠀⠀⢩⠂⠐⢄⠀⠀⠈⠀⡾⡘⡭⡣⡖⣉⠙⠛⠳⣠⠁⢀⠀⡛⡄ ⠀⠀⣀⠗⠂⠀⠀⡌⢠⠘⡀⠑⠒⠈⠀⠁⡏⠉⠉⠐⠢⠀⠉⠀⠉⣦⠊⣠⡡⠃ ⡠⣋⣀⠙⠂⢄⣀⣰⣊⣂⠐⢄⠀⠀⠀⠀⡌⠀⠀⠀⢴⠀⢀⢄⡩⠃⠈⠀⠀⠀ ⠀⠀⠈⠋⠁⠀⠀⡇⠀⠀⠑⠢⡑⠄⡀⠀⢃⠤⠄⠒⢁⠔⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠑⠬⠥⢀⣀⡒⠊⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠄⢂⣀⠤⠐⠂⠉⠀⠎⠀⠀⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣠⡴⢠⡄⣀⣠⢴⢒⣼⠇⠀⣀⣤⠤⢄⣤⣀⣀⣀⣀⠀⡀⠀⠀⠀⠀⠀ ⠀⡴⣟⡕⢀⣿⡟⢋⣟⣨⡾⢋⠗⠛⡿⢁⣞⣿⠵⢛⡟⢁⣴⡟⢀⣤⣤⠤⢄⡀ ⠈⣰⡟⠳⡿⠁⠃⢸⣧⡟⣱⠊⠀⠈⡆⠚⡝⠁⠀⡎⣰⣻⡿⠄⠘⣾⣁⣴⡟⠁ ⠀⢙⡇⠀⠃⠀⣠⠞⠝⠁⠀⠀⠀⠁⠚⠂⣰⡤⠼⠋⠉⠘⠀⢰⣂⣽⡏⠜⠀⠀ ⠀⠈⢀⠀⠴⠋⢁⢸⠀⠀⠭⡇⠁⡖⠄⠀⠀⠀⢠⡤⠤⠞⣤⡤⠜⠋⠀⠀⠀⠀ ⠀⠀⢂⢊⠔⠈⠒⢌⢤⠀⠀⡟⠉⠀⠠⠆⠀⠈⠁⡀⠀⠀⠀⠉⠓⢦⡄⠀⠀⠀ ⠀⠀⢠⠁⠀⠀⠀⠀⠑⢩⣲⡿⠓⠈⠀⠀⠀⢀⠀⡶⠀⠀⠀⠀⠀⠑⠛⠧⠄⠀ ⠀⠀⡙⠄⢀⡀⠀⡤⠊⠀⡀⠈⠆⠀⠀⠤⢤⠸⡀⠁⠒⠚⠒⣞⣆⠀⢐⠂⠀⠀ ⡆⠀⠁⠑⠀⠉⢩⡀⠐⠄⠐⡄⣼⢠⡆⠀⠀⠀⠈⠀⠐⠀⠤⣄⠈⠓⠀⠰⠀⠀ ⠹⡄⠀⠀⠀⠙⠓⢊⠂⠄⠓⠂⠁⠛⠋⠉⠀⢀⠡⡀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀ ⠀⠈⠻⣀⠀⠀⠈⠄⣣⠀⡒⠀⠤⢄⡀⠀⠂⠀⡆⡇⠈⠉⠂⠀⢀⠀⠀⠁⠀⠀ ⠀⠀⠀⠙⠦⠴⠦⠅⠃⠀⠈⠚⠠⠦⠙⣒⣚⠓⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡶⠒⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⢰⣼⢳⡆⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢻⠀⢳⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡀⠸⡄⠈⡇⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠤⠶⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠹⡄⣧⠀⢹⡤⠶⠒⠛⠛⠛⠓⠲⢤⡟⠁⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⢹⡿⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠗⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠴⠖⢛⣠⡀⠀⠀⣸⠋⠀⣠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⣠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡤⠖⠋⠉⠀⠀⢠⡿⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠧⠤⠤⠞⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡶⠶⣾⡇⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠐⢦⡈⢳⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠟⠉⠁⠀⠄⠇⡇⠀⠇⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⡟⢶⣦⡀⠀⠀⠛⣴⠛⠀⠀⠀⠀ ⠀⠀⠀⢠⡾⠋⠁⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⢴⡏⠁⠈⠹⡇⠀⠀⠀⣼⠋⠀⠈⣿⡀⠀⢸⠃⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠈⠳⠤⠤⠼⠃⠀⠀⠈⠻⠦⢤⠖⠋⠀⢀⡞⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀ ⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠳⣴⣆⡀⠀⠀⣄⠐⣲⡶⡂⢠⡄⠀⠀⠀⣠⡞⠀⠀⠀⠀⠀⠀⢀⣻⣦⣀⠀⠀⠀⠀ ⠀⢈⣷⠀⠀⠀⡀⠀⠀⠀⠀⠀⣠⠴⠒⠀⠙⢿⣿⣶⣦⣭⡉⠉⡉⣉⣉⣤⣴⣼⣾⡿⠁⠀⠀⠀⡠⠒⠀⠉⠉⠉⠛⢷⣄⠀⠀ ⠀⣼⠹⡇⠠⠾⠓⠒⠒⠲⢤⠞⠁⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⣀⡠⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠹⣦⠀ ⠀⡟⠀⠃⠀⠀⠀⢀⡄⠀⢺⠉⠁⠀⠀⠀⠀⠀⠀⠈⠉⢩⡛⠻⠿⠿⠿⢻⡏⠁⢠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇ ⢸⡇⠀⠀⡄⠀⢀⡼⠁⠀⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⠀⠀⠀⠀⠀⠙⢆⡀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠸⣧⠀⠀⠀⢀⡯⢄⣀⡀⣴⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢉⡇⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⣿ ⠀⡿⠆⠀⠀⠉⠀⠀⠈⠛⠿⣧⠳⣤⣀⡀⠀⠀⠀⠀⠀⣯⡅⠀⠀⠀⠀⠀⣀⠴⠛⠹⡀⠀⠀⠀⠀⠀⠀⣹⠀⠀⠀⠀⠀⣰⡇ ⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣀⢍⣉⡑⠒⠒⠒⠚⣛⠛⠦⣄⣀⣀⡞⠋⠈⠀⠀⠹⣄⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⣠⡿⠀ ⠀⢻⣶⠠⠄⡀⠀⠀⠀⠀⠀⠀⢸⡍⢢⡀⠒⢤⣀⠀⠀⠘⡄⠀⠀⣈⡟⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⣠⠎⠀⠀⢀⣠⡴⠋⠀⠀ ⠀⠀⠙⠷⣄⠈⢓⠀⠀⣠⠤⠄⠘⠣⣤⣙⠂⠀⠈⢉⣠⠴⠛⠛⠛⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠷⠚⢁⣠⠴⠒⢫⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⢦⣄⡟⠁⠀⠀⠀⠀⠈⠙⣷⠶⠞⠋⠁⠀⠀⠀⠀⠀⢟⡀⠀⠀⠀⠠⠀⢀⣠⠴⠋⠉⠀⠀⣠⡟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠒⠒⠒⠒⠛⠁⠀⢀⡔⣊⡴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⢶⠀⠀⠀⠀⠀⢸⣇⠠⣀⣀⡀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⢤⣒⣽⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣌⣧⣀⢘⣧⣀⣀⡿⠳⢮⣭⣉⡉⠉⠉⠉⠉⠀⠀⠀⠀⠀⢔⣾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠉⠉⠉⠀⠀⠀⠈⠙⠛⠛⠶⠶⠦⠤⢤⣤⣤⣤⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣆⡀⢀⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠊⠀⠀⠀⠀⢇⢈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠐⠒⠃⡄⠑⠒⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣴⢠⢈⣉⡁⣀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⠤⢤⠖⠉⠩⠉⠉⠉⠘⠒⢤⢀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡜⠁⠀⢠⠋⠉⠉⠀⠒⠄⠒⠀⠈⠈⢂⠀⠉⢢⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢇⢀⡠⣇⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⢀⣧⡀⣸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠜⠉⠀⢹⠑⢂⠀⣐⠪⠨⢒⠀⠄⠰⠹⠀⠁⢳⠀⠀⠀⠀⠀ ⠠⡖⣿⢷⠴⠚⢄⡠⠜⡧⠀⠈⣅⣀⡁⢀⡍⠀⢠⠣⢀⡠⠛⠤⡔⢶⢲⡀ ⢠⠗⡩⢂⣀⣠⣔⠠⠔⠛⠲⢌⡤⠤⣀⠤⢦⡤⠼⠦⢈⣂⣀⣄⡙⢏⠺⡄ ⠈⠉⠓⠁⢠⠋⢄⠀⡀⠀⠀⠀⢲⣄⠈⠈⠁⠀⠀⠀⠀⠀⠀⠙⡏⠚⠉⠁ ⠀⠀⠀⠀⠸⣀⣀⠂⠀⠁⠀⠀⢀⣀⣵⣦⣄⡐⠀⡀⠂⠁⠠⣣⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠒⠀⠒⠒⠉⠉⡀⠉⢁⠀⠉⠑⠒⠛⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⣰⣿⠁⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠇⡏⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀⢸⡟⡄⠀⠀⢸⠀⡇⠀⠀⣠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡠⠔⠒⠒⠒⠒⠠⢄⡀⠀⠀⠈⣟⣧⠀⠀⠀⣼⢡⠁⠀⠀⣸⡄⢿⣀⣰⣿⠏⠀⢀⡀⠤⠄⠒⠒⠢⠤⢄⡀⠀⠀⠀⠀ ⠀⠀⠀⣠⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⡄⠀⠈⢾⣦⠀⣼⠃⣾⠤⣟⡽⢛⡏⢉⣽⣿⠏⢀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀ ⢀⡴⢊⡵⠒⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣆⠀⠨⣿⣷⠃⢸⡇⠀⠀⠉⠉⠉⠛⢿⣿⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠘⠀⠀ ⣿⠀⣿⣷⠀⠀⠈⢳⣄⣠⡴⢒⠀⣀⣲⣖⣋⠉⠣⡀⣿⠟⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⢻⡾⠚⠉⠉⠉⠉⢉⣽⣏⣉⣁⡀⠀⠀⠀⠀⠀ ⢸⡆⣷⠸⣇⠀⠀⠈⠁⠀⠉⠺⣷⠟⠁⠀⠈⠱⣤⣿⣿⠀⠀⠀⢀⡤⠔⢾⠋⠙⣗⠐⢺⡇⠀⠀⢀⣠⡖⠉⠀⠀⠀⠈⡗⠀⠀⠀⠀⡔ ⠀⣿⣿⠀⢻⣄⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⢹⢿⣿⣄⣠⠀⠉⠴⠖⠒⠒⠀⠛⠿⠟⠉⢷⠞⠛⢻⠀⠀⠀⠀⠀⢀⣿⣄⠀⠀⢠⡇ ⠀⣿⣿⠀⠀⠻⢦⣀⣀⣀⠀⠀⠀⣇⠀⠀⠀⠀⣼⡀⢻⣧⢹⡀⠀⠀⣖⠲⣄⣀⣀⣤⣾⠇⡸⠀⠀⢸⡆⠀⠀⠀⢠⡟⢁⠜⠛⠉⢩⡇ ⠀⣿⣿⡇⠀⠀⠀⠈⠉⠻⢍⠉⠙⠻⣦⣀⣠⡞⠁⠙⢾⣿⣇⣿⣄⠀⠘⢦⡀⠀⠀⢠⣾⡴⢷⣤⠖⠉⠙⣆⢀⣰⣟⡴⠃⠀⠀⠀⣾⠃ ⠀⢿⣿⡷⡄⠀⠀⠀⠀⠀⠀⠙⢦⡀⠈⢻⠀⢱⡀⠀⠀⠘⣿⣟⢿⣷⣦⣄⣈⠉⣉⣽⣿⣤⡿⠇⠀⠀⠀⢻⠋⣽⢿⠇⠀⠀⠀⣼⡟⠀ ⠀⠈⢿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⢹⣗⠚⢷⣄⡧⠀⠀⠀⠀⠈⠙⠛⠿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⠀⢤⣼⣿⣯⡞⠀⢀⣤⣾⠟⠀⠀ ⠀⠀⠈⠻⣿⣿⣿⡀⠀⣠⣀⣀⣴⣿⣿⣿⡖⠚⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢞⠁⢀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣧⣼⠿⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠙⢿⣿⣷⣿⡿⠿⠋⠉⠉⢿⣦⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠲⣽⡏⠀⠀⠀⠀⠀⠀⠸⡄⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣟⠀⠀⠀⠀⠈⢿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣆⠀⠀⠀⠀⠈⢿⡍⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⡀⠀⠀⠀⠘⢿⣄⣽⣿⣦⡀⠀⠀⠀⠀⠀⠀⣠⣿⣀⣀⣀⣀⣼⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣤⠀⠀⠀⠈⢻⣄⣿⢿⣿⢿⣦⣀⣀⣲⣿⣿⣁⡽⢭⣉⣩⣟⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣦⣀⡀⠀⠀⠙⣦⣉⣷⢦⣤⠴⠛⠉⠀⠀⢳⠀⠀⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⣤⣤⣿⣆⠈⠳⣧⡀⠀⠀⠀⢀⣼⡦⠴⢿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣟⠀⠀⠈⠙⢳⣬⣿⠛⠛⠋⠉⠀⣱⣠⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣀⣀⣀⠀⡿⣿⣶⣄⣠⡼⢧⡙⣶⡤⡤⠴⠞⢻⣄⣸⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣿⣿⣿⣿⠉⠛⣿⣇⡀⠙⠻⠷⣦⠤⠶⢛⣯⣟⡾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣦⡄⠈⠉⠙⠻⣷⣦⣭⣓⣿⣏⠉⣿⣷⡿⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠊⠁⠀⣤⣶⣬⣿⣯⣕⡲⠤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣷⣶⣷⣿⣾⣍⣻⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣄⡀⠀⢠⣾⠟⠈⠙⠿⣿⣿⣿⣿⣿⣶⣭⣘⠋⠙⣟⢻⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠶⠓⢚⣿⣿⡿⢿⣇⠤⢲⣿⡇⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⡇⠀⠈⢷⣿⢻⣿⣿⣿⣶⡤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣴⣦⣶⣼⣿⣷⣶⣄⣹⣿⣿⡄⠘⡏⢀⣼⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣷⣶⣤⡈⢿⣶⣿⣿⣿⣿⣷⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⡿⠿⠿⠇⢠⠾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⠶⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣎⣿⣿⣷⣼⣿⣿⢿⣷⡂⠀⠀⠈⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠔⠢⢄⣙⣋⣉⣻⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡛⣿⣜⣲⣿⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡋⠀⠀⣰⣶⡟⠁⢺⣿⣿⣿⣿⣻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣛⣯⣿⣴⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⣟⠒⣴⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣇⠀⠀⠀⠀⠀⠀⣀⣤⣴⠛⠉⠉⠁⠀⠉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⢻⣿⡿⣟⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⣠⠶⠋⠉⡇⠞⠈⣀⠀⣦⠔⣿⢉⣿⣿⣿⣩⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣷⣿⣿⡿⠃⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⣠⣞⠊⠀⣴⣾⢣⢠⡾⠀⣿⢁⣼⡿⢿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡟⠋⠀⣠⣾⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣾⣿⣿⠦⠰⣿⡿⢾⣿⣥⣾⣿⠿⠛⣶⡿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣀⡽⢶⣾⣿⣿⣃⣷⣯⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡁⠀⠀⠀⠙⠻⣿⣿⡏⠅⠀⠈⠉⣰⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣥⣴⣯⣉⣾⣿⣿⣿⣿⣿⣻⡿⠃⠀⢀⣴⣿⣿⡿⠿⣽⣧⣽⣍⠀⠀⠀⠀⠘⣻⣿⣧⣀⣤⣶⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣶⣤⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⢀⠤⠒⡙⣣⣶⡆⠀⠀⢸⣿⡀⠀⠀⢀⣏⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢯⣿⣿⠿⠋⡀⡜⠀⠀⠀⠀⠉⢦⠀⠟⣩⠋⣡⣖⡴⣿⣿⣷⣤⠀⢐⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠄⢒⣉⣷⠿⠷⠖⠊⠀⠂⠀⠀⠀⠉⠀⣤⠔⣿⢧⢟⣻⣿⣿⣿⣿⣧⣤⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠉⠐⠶⢿⣹⡧⠀⠀⠐⠠⠒⠁⠀⠀⠀⠀⢰⣿⣥⢀⣿⣶⣾⣻⣿⣿⣿⣿⣧⣉⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠊⠀⠀⠀⠠⢶⣿⣿⣦⣠⣄⡀⣀⣤⣤⣶⣶⣶⣿⣿⣿⣿⡿⣿⣼⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⡀⠀⣸⠛⢓⡟⠉⣿⣿⡿⠟⠿⢿⠿⢿⣿⡿⢭⣾⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠈⢀⣼⣿⢠⡿⢁⣤⣿⣿⢡⣾⣤⣿⡆⢤⡿⣿⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣔⠎⠁⠀⠠⠤⣷⣾⣯⣧⣾⣥⣾⣿⣿⣷⣿⣿⣿⣿⠧⣼⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠋⠀⠀⣸⣇⣠⣴⣰⣾⣿⣿⣷⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠨⠆⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⢠⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣫⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢼⠃⠀⠠⠺⠛⢃⣬⣿⣿⡏⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⢠⣴⣿⡿⢏⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡀⢀⠀⠀⠀⠀⠀⠀⠀⢾⡿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⣁⡀⢀⣴⣿⣿⣏⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⣧⣈⡀⠀⢰⠀⠀⠀⠀⠈⠁⠀⢱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡠⢴⠶⡶⣶⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠓⠀⢈⣙⣻⣷⣤⣀⠀⡀⠀⣠⢤⣴⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡖⢏⠀⣁⡴⠋⣉⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⢠⣹⣿⣿⣿⣿⣿⢿⣿⣿⢿⡿⣟⡿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⠤⠽⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⡿⣿⣧⣤⣤⣠⣴⡶⠾⢉⣽⣟⣸⣋⣠⣶⣽⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⠿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣶⣯⣟⡾⢯⣟⡳⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣾⣶⣿⣧⣶⣿⣿⣿⣷⣶⣿⣿⣿⣿⣋⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣯⣷⣻⣷⣯⣷⣿⣾⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣿⣿⠟⠒⠢⠭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠉⠋⠙⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠏⠀⠀⣠⣟⣛⠛⠓⠛⢛⣻⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣀⣶⣿⣿⠿⠟⠓⠚⠛⠛⢛⣻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⣀⣤⣴⣶⣛⣯⣽⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣽⠿⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡏⠀⡄⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠁⠀⢡⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡟⠀⠀⠀⣇⠀⠀⠀⠀⠀⣠⣿⣿⣿⣷⡀⠉⣛⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⠸⣿⡇⠀⠀⠀⠀⢄⠀⠀⠀⠀⠼⣿⣿⣿⣷⣮⢴⣾⣷⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⢀⣾⣿⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⢀⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢚⣻⣿⣿⣿⣿⣿⣿⡿⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⢀⣴⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠂⠀⡀⢤⠿⣝⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⢠⣾⣿⣿⣿⣿⢀⠄⠀⠠⠀⠀⠀⠁⠀⠀⠀⠘⠧⡽⢻⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⡀⠀⠀⠂⠀⠂⠀⠐⠀⡘⠀⣾⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡬⣵⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⢸⣿⣟⣿⣿⣿⣿⡇⠂⠀⠀⠀⠀⢠⠄⠀⠀⠈⢻⡇⣧⣻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣿⣿⣯⣿⣿⣿⣿⡇⠀⠃⠀⠀⠀⢰⣶⡀⠀⣀⣛⣾⣏⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⢸⣿⡿⣾⣿⣿⣿⣿⣷⣲⣬⣄⠀⠀⠾⢿⣃⠉⣥⣿⣷⡟⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢣⣍⠀⠀⢀⣩⠝⠠⠠⢞⣳⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣯⣿⠟⡛⣻⣿⣿⣿⣷⠏⣴⡀⢤⣻⠞⣗⡟⢫⣿⣽⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣟⡟⠁⢠⣶⣿⣿⣿⣿⣿⣯⡁⢾⣺⣭⣟⣷⡛⣿⡿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠏⢀⢖⣸⣿⣾⣿⣿⣿⣿⣿⡜⠾⣟⣽⡻⣞⣽⣵⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠋⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣽⣟⡒⣿⣳⣟⡿⣷⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⣷⣽⣿⣯⢿⣯⡿⣽⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⠀⣼⣛⠿⠿⠟⢫⣿⣿⣿⣿⣿⣿⣿⡼⣿⣿⣿⣯⣿⣿⣿⢿⣿⣿⢿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡿⣏⡀⠀⢠⣼⣿⣿⣿⣿⣿⡟⠀⣿⣽⠑⠋⢻⠿⣿⣿⣿⣿⣯⣸⣿⣟⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣿⠿⣷⣿⣽⣿⣿⣿⣿⣿⡀⠀⠘⢿⣀⠀⠀⣼⠛⣿⣿⢼⠿⣿⣿⡏⠍⠉⢛⡓⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣾⣿⣆⣽⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⣧⣠⣀⣏⣼⣿⡿⡾⡆⢸⣿⠀⠀⠀⠀⠀⠈⠨⢍⢯⣽⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣾⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣦⠘⢿⣿⣿⣿⣷⣷⣶⡶⣿⠓⠀⠀⠀⠐⢦⣀⡀⠀⠈⢾⢻⢿⣛⣦⡀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⣿⣽⣿⣿⡇⢉⠈⠉⣻⣷⣿⣧⡀⠉⠻⢿⣿⣿⣿⣶⣷⡆⣧⣦⡦⣤⠀⠘⠷⢶⣦⣜⣳⣾⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⣷⣿⣿⣿⣥⡶⠀⠈⢸⡉⣶⣿⣷⡀⠀⠀⠈⠙⠻⢿⣿⣿⣷⡼⣹⡛⣷⣴⣖⠮⡝⣿⣟⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡯⣿⠟⣎⣿⣶⣶⢞⣉⣳⣟⣿⣿⣷⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣷⣿⣿⣽⡾⣿⣾⣶⣿⣿⣿⣯⣻⣿⣿⣦⣀⣀⡀⠀⠀⠀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⢋⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⢁⢿⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣶⠛⠉⠉⠛⢷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠘⡼⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠀⠀⠀⠀⢸⡏⠉⠛⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⢹⢧⣿⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠁⠀⠀⠀⠀⠀⠙⠄⠀⠀⠘⡟⠲⢤⣤⡀⠀⠀⠀⠀⢠⡶⠛⠉⠈⠀⠀⠀⠀⠈⠉⠛⠶⡶⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠈⠙⢷⡀⠀⣴⠟⠁⢀⡤⠤⢤⡀⠀⠀⠀⠀⠀⡼⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⢻⣼⡏⢀⣀⠈⠙⠒⠲⠇⡀⠀⢀⡤⠤⣷⣄⣀⣠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⢤⣀⣴⠚⢻⣿⠿⣿⣧⡀⠰⣀⣀⡛⠃⣀⠙⠦⣄⡇⠀⢸⡇⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⠷⣤⣀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣼⡇⠀⠀⠉⠛⠦⣀⠀⠈⠒⠋⠀⠀⠀⠀⠀⢸⡇⠀⢈⣹⡁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠛⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠷⣄⠀⠀⠀⠀⢸⠓⠒⠒⠲⠤⣿⣿⠷⣤⣿⠁⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣶⣄⠀⠀⣿⠀⢠⠀⠀⣧⠀⠀⠀⠀⣶⣿⡀⠻⣷⣤⣀⣰⠏⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⠶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠮⣳⣄⠻⣦⣸⣆⡀⠈⢳⣄⠀⠀⢸⣿⣿⣦⣈⠙⠾⣍⡛⠒⠒⠂⠀⠒⠒⠚⠉⠀⠹⡄⠀⠈⠙⠻⢶⣄⠀⠀⠀⠀ ⠀⠀⠀⠰⣦⣄⡈⠘⠓⠀⣿⠛⣏⠙⠛⠉⠳⢾⡿⠿⣿⣿⣿⡳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣄⠀⠀⠀⠀⠙⢷⡄⠀⠀ ⠀⠀⠀⠀⠈⡙⠛⠷⢄⠀⣿⠸⡌⠳⢤⣀⣀⣀⣀⣀⣈⣻⣯⣿⣦⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣦⠀⠀⠀⠀⠈⣷⠀⠀ ⠀⠀⠀⠀⠈⠙⠛⠶⠄⠐⣿⡀⠈⢳⠀⣰⠦⠀⠀⠀⠀⠈⠉⠝⠻⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠛⠓⠦⠄⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡍⠲⡄⢷⡇⠀⠀⠀⠀⠀⠀⠺⠀⠀⠀⠙⢦⣄⠀⠀⠀⡴⠋⠹⣧⣤⣾⠁⠀⠀⠀⠀⠀⠀⠹⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠘⢈⠳⢄⣀⡀⢀⠈⠀⠀⠀⠀⠀⠀⠀⠙⢷⣦⣸⣇⠀⠀⠹⠿⣧⣀⣀⠤⠴⠶⢤⡀⠀⢻⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢸⡇⠀⠀⠀⠀⠈⢦⠀⠀⠀⠈⠁⠒⠂⣸⠛⠉⠉⠀⠀⠀⠀⠈⢻⠀⠀⠀⠀⠀⠈⠣⣼⡆ ⠀⠀⠀⠀⠀⠠⠴⠞⢒⠀⠀⣸⡄⠀⠈⣇⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠀⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠸⡆ ⠀⠀⠀⠀⣀⡤⣶⠶⠋⠀⢀⡏⠙⢆⢀⠎⠑⠒⠒⠒⠂⠤⠀⠀⠀⠐⠒⠲⡇⠀⣩⢿⠁⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⣀⡠⠄⢠⡇ ⠀⠀⠀⠾⠗⢋⣡⣴⠞⠁⣸⠇⠀⠈⢾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡸⠁⠈⠻⣆⠀⠀⠀⣀⡴⠛⠉⠉⠉⠀⣀⣴⠟⠀ ⠀⠀⠀⣠⣾⠟⠋⠀⠀⠀⣿⠀⠀⠀⠀⡿⠒⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠁⠀⠀⠀⠈⠙⣟⠛⠛⠛⠒⠶⠦⠴⠾⠋⠁⠀⠀ ⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢿⣦⣄⣀⡀⠹⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⢀⣀⣀⡤⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠚⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⢾⣏⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠚⠋⠉⠀⠀⠀⠀⠀⠙⠻⢯⡙⠛⠒⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⡵⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣷⠄⠀⠀⠙⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⣡⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡟⠃⠀⠀⠀⠘⣎⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣞⡴⠁⠀⠀⠀⢀⡤⠖⠚⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⣀⣤⠤⣄⠀⠀⠀⢹⡀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⣸⠃⠀⢠⣾⣷⣆⠀⢸⠇⠀⠀⠀⢠⡞⠁⠀⠀⠈⠙⣆⠀⠀⣧⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⢀⡏⠀⠀⣿⣿⣿⣿⠀⡿⠀⠀⠀⠀⢸⢁⣤⣤⡀⠀⠀⢸⡆⠀⢸⡄⢻⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡞⡁⠀⠀⠀⠀⠀⠀⢷⡀⠀⠻⣿⡿⠋⣸⠃⠀⠀⠀⠀⣾⣾⣿⣿⣷⠀⠀⠀⣧⠀⠀⣷⠈⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣻⠃⠀⠀⠀⠀⠀⠀⠀⠙⠓⠦⠤⢤⠴⠃⠀⡀⠀⠀⠀⢻⣿⣿⣿⠇⠀⠀⢠⡿⠀⠀⠸⡆⢹⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡏⠀⡴⠲⡄⠀⠀⠀⠀⠀⠀⠤⣆⠀⠀⠀⠯⣉⣉⣳⡆⠈⠳⣍⣁⠀⠀⣠⠟⠁⠀⠀⠀⢻⡘⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣷⣴⠓⠲⡇⠀⠀⠀⠀⠀⠀⠀⠈⠳⠤⣤⣤⠼⣅⡀⠀⢀⣠⡄⠉⠉⠉⠁⠀⠀⠀⠀⠀⣴⣷⢿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣴⢿⡯⠤⣄⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠀⠸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡟⣛⠛⣿⠀⢸⡏⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⡟⠀⠀⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣷⡿⣿⣿⠲⣼⣀⠀⢸⢻⠛⠲⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠊⠁⢻⡁⠀⠀⠘⣇⠀⠀⠀⠀ ⠀⠀⠀⠈⣻⡶⠿⣏⢀⡇⠈⠙⠛⠛⠛⠋⠉⠉⠉⠙⢛⣒⣲⣶⣶⠶⠶⠶⠶⢶⣶⠒⠚⠋⣿⣧⠀⠀⠘⣇⠀⠀⠀⢻⡀⠀⠀⠀ ⠀⠀⠀⢰⢿⠀⠀⠈⢻⡇⠀⠀⠀⠀⠀⠀⠀⢀⠴⠚⠉⠉⠉⠉⠉⠉⠳⣄⠀⠀⠈⠙⢦⡀⢹⣹⡀⠀⠀⢹⡀⠀⠀⠈⣧⠀⠀⠀ ⠀⠀⢀⡟⠈⡿⢷⠀⡼⠉⠓⢶⣤⣤⣄⡀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⢤⡀⠀⠀⢻⠸⡟⡇⠀⠀⠈⣧⠀⠀⠀⢹⡄⠀⠀ ⠀⠀⣾⣻⢿⡇⣾⣿⠀⠀⠀⡿⣾⠀⡟⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⢳⡄⢀⡾⠀⢷⢻⡀⠀⠀⢸⡆⠀⠀⠈⣧⠀⠀ ⠀⢠⡟⠀⣼⣷⢻⣿⠃⠀⣸⣳⡇⣼⠃⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠹⣏⠀⠀⠸⡟⣇⠀⠀⠀⢷⠀⠀⠀⢹⡄⠀ ⠀⣸⠁⠀⠛⣿⣦⡻⣷⢦⣟⣿⡞⠁⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠘⣆⠀⠀⢻⣿⡄⠀⠀⠘⣇⠀⠀⠈⣧⠀ ⠀⡟⠀⠀⢀⡿⠉⠙⠛⡾⣹⡿⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⢸⡆⠀⠈⢷⣷⡀⠀⠀⠹⡄⠀⠀⢹⡄ ⢸⡇⠀⠀⣼⠁⠀⠀⣼⢳⢿⡇⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⢸⠇⠀⠀⠈⢯⣷⡀⠀⠀⢻⡄⠀⠈⡇ ⢸⡇⠀⠀⣏⠀⣀⡼⣣⠏⠀⢷⡀⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⡾⠀⠀⠀⠀⠈⢯⢷⡀⠀⢈⡇⠀⠀⡿ ⠀⠻⣆⣀⣈⣋⣥⠞⠁⠀⠀⠀⠳⣄⡀⠀⠀⠀⠙⠲⢄⣀⣀⣀⣀⡠⠖⠋⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠈⢳⡳⠶⠞⠁⣠⠾⠁ ⠀⠀⠀⠉⠉⠁⠀⠀⠀⢀⣀⣀⣤⠤⠿⠓⠶⠶⠶⠒⠉⢻⡍⢉⡟⠙⠒⠲⠖⠒⠛⠙⠓⠲⢤⣄⣀⠀⠀⠀⠀⠉⠛⠛⠋⠁⠀⠀ ⠀⠀⠀⣠⠴⠖⠚⢛⠋⠉⠉⢠⡀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠒⠶⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⣰⠋⠀⠀⡾⠉⠀⠀⠀⠀⠀⢀⣠⠖⠉⠀⠀⠀⠈⠙⠲⢤⣀⠀⠀⠀⠀⠀⠘⣆⠀⠀⢸⡄⠀⣸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠳⠶⠿⣤⣀⣀⣧⣀⣀⣠⡤⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⣄⣀⣀⣀⣿⣀⣠⠼⠷⠶⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣤⡄⢀⡄⠀⠀⠀⢀⣠⣤⠤⢠⣾⡆⠀⠀⠀⠀⢀⣀⣠⣀⣄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⡾⢿⠟⠀⣾⣧⣤⣾⣿⡿⠋⡇⣰⡿⣿⣅⢀⣤⣶⣾⡿⠛⢋⣡⣶⡿⢗⣤⣦⣤⣶⠶⠖⢁⣤⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⢿⣋⡴⠋⠀⣼⢿⣯⠘⢣⢸⣿⣀⣸⣿⠏⢁⡾⠛⠛⢉⡿⠇⢊⡿⣫⣿⡤⠞⠋⣽⠏⠀⢀⣴⣿⡟⠁⣀⣤⣤⣤⣤⣤⣤⣀ ⠀⠋⢁⣾⣿⣷⣀⣼⣿⠞⢿⠆⢀⣿⠋⣹⡿⢁⣠⠎⠀⠀⠐⣹⠁⣠⡿⢺⡟⠁⠀⠀⣸⠃⢀⣴⣟⣿⠏⢀⣀⣛⣩⡿⠋⢀⣠⢾⡟ ⠀⠀⣿⣿⠃⡼⢿⡿⠉⠀⠈⠉⢉⣿⡿⢻⢃⣾⣟⣀⣀⣀⢀⡿⡉⠙⠲⢞⠀⠀⠀⢠⠇⣴⢟⣩⣿⠟⠚⠉⠀⢸⣿⡅⣠⡾⢿⡟⠀ ⠀⠀⠸⢿⠏⠀⣸⠻⡄⠀⠀⣠⡾⠋⡵⠋⠀⠀⠀⠀⠀⠈⠙⢶⡷⢤⣀⢈⡆⢀⣠⣾⠾⠛⠋⠠⠋⠀⠀⡴⡇⠜⢨⣿⠋⢠⠟⠀⠀ ⠀⠀⢠⢻⠀⠀⠁⠀⠘⣠⡾⠋⠀⡞⠀⠀⢀⣀⣄⠀⠀⠀⠀⠀⠱⡀⢈⡭⠿⠛⠋⠁⠀⠀⠀⠀⡀⠀⠀⠣⠤⣴⣿⠽⠃⠋⠀⠀⠀ ⠀⠀⠀⠀⢀⠆⢀⣴⠏⠟⠁⠀⣸⡇⠀⠀⠸⣀⡼⠁⠀⢸⣋⡇⠀⡇⠀⠀⠀⠀⠀⣀⣀⣤⣤⣒⢳⣄⣤⣤⡬⠟⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠃⣠⠊⢀⣄⣤⣖⠉⠈⣇⠀⠀⠀⠀⢰⡤⢤⠄⠉⠀⢀⡇⠀⠀⠀⢠⠬⠋⠁⠀⠀⠀⠉⠙⠳⠶⣤⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡰⢁⠴⠋⠁⠀⠀⠉⠢⣜⢦⡀⠀⠀⡜⠉⡟⠀⢀⣀⠞⠛⠊⠁⠀⠀⠀⠀⡀⠀⠀⠀⢠⠀⠀⠀⠀⠙⢳⣶⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣱⠁⠀⠀⠀⠀⠀⠀⠀⢙⣦⣉⡲⢶⣿⣿⡧⠖⠛⠁⠀⠀⠀⠀⠀⠀⠀⠈⣤⠀⠀⠀⡆⠀⠀⠸⠀⠀⡿⠼⣿⣶⣖⠀⠀ ⠀⠀⠀⢀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠻⠿⠿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠐⣏⠁⠀⠀⡇⠀⠀⡀⠀⡸⠀⠀⠀⠀⠈⠁⠀ ⠀⠀⠀⢌⠻⢄⡀⡀⠀⠀⠀⠀⡴⠊⠀⠀⢀⠀⠀⠈⣇⠀⠀⠀⠂⠤⢤⣤⡀⠸⡀⠀⠈⠑⠚⠛⠛⠛⣿⣩⣟⠁⠀⠀⣾⠃⠀⠀⠀ ⢰⠀⠀⢫⠀⠢⣌⡙⠛⠓⠒⠾⠁⠀⢀⠀⠀⠳⡀⠀⠸⡄⠀⠀⡎⠀⠀⠈⠉⠒⠉⠢⣄⣀⣀⠤⠤⠒⠋⠁⠈⢳⣆⠀⠘⠢⢄⣀⠁ ⣿⠀⠀⠀⠀⠀⠑⣌⠉⠒⠢⣶⣄⠀⠈⠣⡀⠀⢱⠤⠴⡇⠠⣾⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠒⠒⠰⢏⣓⣆⠀⠀⠙⠛⠓⠒⠋⠀⠀ ⠹⣆⠀⠀⠀⠀⠀⠈⠛⠶⠶⢤⣝⢦⣀⠀⣸⣞⣡⠴⠚⠡⠾⠿⠟⠛⠋⠉⠉⠉⠳⡄⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠓⠒⣆⠀⠀⠀ ⠀⠉⢦⡀⡰⠁⠀⠀⠀⠀⠀⣄⠘⣆⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠰⡀⠱⡤⢄⣀⣀⠀⠀⠀⢀⠀⢀⠀⢰⠀⢹⠀⠀⠀ ⠀⠀⠀⠙⢧⢀⠀⠀⢢⠀⠀⠘⡄⠘⣎⠉⠒⠒⠤⠤⢤⣦⡀⠀⡀⠀⠀⢃⠀⠀⢳⣀⡇⠀⠀⠉⠛⡇⠀⢘⣀⣀⡄⠸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢾⣧⡀⠀⢳⣀⡤⠖⢺⡉⠀⠈⠷⣦⡤⢄⣀⠙⠺⢿⣄⠀⣨⡆⢒⣩⠽⠃⠀⠀⠀⠀⠐⠒⠒⠒⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠛⠒⠚⠓⠒⠚⠉⠁⠀⠀⠀⠀⠈⠉⠒⠋⠱⠶⣭⣉⣈⣛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⡰⠉⢠⠒⠁⣠⠔⢀⠤⠄⢤⡀⠀⠠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡔⠉⣑⠀⠀⢀⣠⣃⠀⠣⠤⠬⢒⡚⠁⡠⠄⠀⠃⢠⠒⠀⠀⠀⠀⠀⠀ ⠀⠀⡘⠀⡜⠀⠁⢠⢊⣀⢀⠤⠤⠤⢤⢀⣀⠈⠘⣦⠈⢠⠃⠎⠃⠀⠀⠀⠀⠀ ⠀⠀⠃⢰⠀⢀⣠⡼⠡⡂⢑⠅⠀⠰⠛⢐⡄⠈⠐⢸⠦⡤⡼⠴⣀⠀⠀⠀⠀⠀ ⠀⢸⠀⡄⡖⣋⡘⣁⠀⠀⢀⣈⡃⠠⠈⠁⠀⠀⠀⠸⢠⠈⠇⠀⠈⢻⠢⡄⠀⠀ ⠀⢸⡠⣻⠄⠁⠀⠈⢆⠢⢀⢀⢀⢀⢀⡀⡨⣊⡶⠁⠘⢰⠀⠀⠀⠄⣇⡈⠢⡀ ⠀⣸⢁⠹⡀⠀⠀⠀⠈⠪⢒⡤⣤⣤⣥⣼⠞⣙⠠⠔⡗⠘⠀⠀⢀⠴⠃⡘⢠⠁ ⢀⠟⢆⠀⠈⠐⠤⣀⡠⠃⠀⠀⠑⠨⠩⠊⠁⠀⠀⠀⠈⠢⣠⡴⣥⣤⠾⠒⠁⠀ ⠀⢷⡈⠒⠤⠤⡴⠫⡱⢄⡀⠀⠀⠀⣃⠀⠀⠀⠀⠀⣀⣾⣟⢼⠀⠙⡄⠀⠀⠀ ⠀⠈⠳⣄⠀⡗⠡⡀⡇⠀⢹⠛⠭⢍⣙⢭⣩⣽⣙⣻⡿⡿⢹⣾⢄⠀⠙⡄⠀⠀ ⠀⠀⠀⠈⢫⣦⢄⢑⣧⠀⡇⠀⡇⢀⠑⠂⠼⢿⠯⠙⠙⠓⣞⡓⠉⠀⢰⠁⠀⠀ ⠀⠀⠃⢶⠍⢐⡄⢐⠻⢳⡇⠆⣇⡘⠀⡄⠀⡐⡟⠳⠈⡀⡿⢺⢒⠚⢹⠂⠀⠀ ⠀⠀⠀⠛⠤⡇⠀⣾⣤⣜⣇⣤⣯⢀⣇⡋⠀⠈⠁⠊⠴⠷⠏⠍⠚⠒⠉⠀⠀⠀ ⠀⠀⠀⠀⠉⠑⠊⠉⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢲⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡼⠿⠻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠁⢠⡒⢛⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠀⢠⠤⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠪⠤⡈⠵⠂⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣠⠀⠀⡀⠀⣸⢌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⢲⢍⠉⡄⠉⣹⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢣⢺⠋⡀⢰⢰⡟⢚⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠀⡀⠀⠀⠀⠀⢘⠀⡜⠢⣎⡉⣸⢣⡎⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡠⢴⠉⡇⠀⡍⢄⠀⠀⠀⡸⣤⣃⠠⠽⠭⠧⠤⣳⣢⠀⠀⠀⡠⠊⢩⠲⠠⡀⠀ ⠇⢸⠀⢃⠀⢙⡋⠄⢂⠩⢿⣭⠷⢈⠙⡝⠉⡽⢡⡾⠩⠔⡒⢄⠀⡄⢠⠀⠇⣷ ⢰⠀⠆⠘⡀⠀⠗⢩⠀⠀⠀⢣⣰⠀⣧⢇⠀⣰⡜⠀⠀⢀⠃⢉⡔⢀⠆⠰⢠⠸ ⢄⢣⡈⢄⠐⣄⠈⢄⠄⠀⠀⠈⡇⠹⡅⢀⡖⢠⡀⠀⠀⠸⣤⠎⣠⠊⡠⢁⢂⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⣌⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠘⡽⣿⡆⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡙⠟⠋⠉⠀⠀⠉⠉⢳⠏⠑⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠶⢤⠾⠀⣀⠀⠳⣤⣬⠏⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠠⣀⣯⣤⠄⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣴⠖⢠⣀⣈⡀⢀⡀⢀⢀⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡽⢿⢾⠓⠛⠛⠟⠓⠚⢿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠴⠶⠒⢲⠟⠁⠀⠈⠈⠆⠀⠀⠀⠀⠀⠘⠈⠙⢶⠦⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠉⠀⠀⠀⣸⠋⠉⠉⠁⠒⠒⠢⢄⡀⣀⠤⠄⠒⠒⠁⠈⢣⡀⠀⠈⠙⢲⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⢉⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⢀⣴⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⢀⡽⢆⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⡷⠾⠋⠁⠻⡷⣄⣀⠀⠀⠀⠀⣀⡼⠹⢄⡀⠀⠀⠀⠀⢀⡴⣿⠉⠛⠦⣼⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⣷⠀⠊⢍⠉⠉⣩⠥⠂⠀⠒⢬⡉⠉⠛⠉⡩⠊⡏⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣤⡴⣶⣾⣶⣀⣠⡼⢦⡀⠀⠀⣰⡟⣧⡀⠀⠁⢻⠑⠀⠀⠂⠀⠀⢚⠑⡄⠈⠀⣼⣅⠀⠀⠀⣰⠷⣄⠀⣴⣶⣶⢦⣄⠀ ⠀⣿⠀⢻⣏⠙⠋⠁⠀⠀⠙⡶⠋⠀⢠⣟⠁⠐⠂⣰⠓⠒⠠⠤⠀⠀⠚⡄⠀⠀⢾⡇⠈⠙⡲⠋⠀⠀⠈⠻⣅⣈⣿⠀⣿⠀ ⢠⡽⠋⣀⡙⠢⣀⣄⠀⣀⠔⢁⣀⠴⠿⠿⠿⠷⣶⠤⣤⣀⣀⣀⣀⡠⣴⣁⣤⣤⣾⣷⢄⣀⠈⠂⠀⢀⣠⡀⠼⢟⡁⠚⢯⡀ ⠹⠷⠺⣟⣠⠞⠉⠉⣹⠿⠉⠁⠀⠀⠀⠀⠀⠀⠈⢻⣁⠀⠀⠙⣯⠤⠴⠋⠁⠀⠀⠀⠀⠈⠉⠉⠉⠉⠻⣿⠦⣄⣻⡶⠴⠇ ⠀⠀⠀⠈⠁⠀⠀⣾⠃⠐⢤⡀⠀⢄⡀⠀⠀⠀⠀⠀⠹⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠈⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⢳⠀⠀⠉⠑⠒⠂⠀⠀⠀⠀⠈⢙⣦⣄⡀⠀⠀⢤⡀⠀⠀⠤⠊⠀⠀⢀⠎⣸⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠷⢴⣶⠒⠀⠀⠀⠀⠀⠀⣀⣀⣤⠴⠶⣿⣿⣿⠿⠶⢦⣄⡉⠲⠤⣀⣀⣀⣀⣎⣴⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⠶⠖⠒⠚⠋⠉⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠒⠒⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡜⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⢠⢦⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢧⠈⡄⠇⢸⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣆⠱⣸⠘⠧⠒⠒⠒⠒⠴⠁⠀⠈⢳⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠉⡀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣋⠵⠂⠀⡎⠠⠊⠀⠀⠀⠀⠀⠀⢣⣀⡠⢼⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡤⠶⠺⡇⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⠀⠐⠔⢆⠀⠀⠀ ⠀⠀⣠⠞⠁⠀⠀⠀⠃⠀⢠⡆⠑⢆⠀⢀⡖⠀⢢⠀⡘⠉⠳⣄⠈⠁⠀⠀⠀ ⠀⣰⠁⠀⠀⠀⠀⠀⢨⢄⣄⠁⢒⠁⣤⠀⡉⠈⠁⣠⠃⠀⠀⠈⢦⡀⠀⠀⠀ ⠀⣽⠀⢀⣄⣀⠀⡠⠒⠀⠻⢷⣶⣍⣉⣩⣥⣶⣾⠃⠀⡠⠂⠀⠉⠉⢳⡀⠀ ⢰⠃⠃⠁⠀⠀⢹⠂⠀⠀⠀⠈⠙⣿⠿⠿⠿⡛⠡⠂⠉⠀⠀⠀⠀⠀⠀⢱⡀ ⢸⡀⠀⢀⣌⠀⢸⡄⠀⠀⠀⠀⠀⣿⠀⠀⠀⠈⢺⠀⠀⠀⠀⠀⡀⠀⠀⢸⡇ ⢸⠃⠀⠀⠀⠈⠛⢗⠢⠄⣀⣀⣐⣧⠀⠀⢀⠔⠊⢃⠀⠀⠀⢨⠁⠀⠀⡸⠀ ⠘⢧⡀⢀⠀⠀⠀⢸⠻⡉⠠⣀⠀⢂⢈⣡⠃⠀⠀⠀⠑⡄⢀⠆⠀⣀⠔⠁⠀ ⠀⠀⠙⠦⣂⡔⠉⠀⠑⠲⡤⠤⠊⠁⠀⠙⡄⠀⠀⠀⠀⡨⠔⠊⢡⠏⠀⠀⠀ ⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⡧⠀⠀⠀⠀⠀⠈⠁⠀⠀⠉⠀⣴⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⢜⣄⣰⣄⠽⠺⢤⣒⡒⠂⠀⠀⠀⢰⡾⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠠⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⢀⣴⣾⠻⣾⡀⠀⣀⣤⠄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⢤⣀⡠⢄⡲⠋⢈⣹⣦⣽⣿⡿⠃⠀⢢⡙⡵⡀⠀⠀⠀ ⠀⠀⠀⢴⠗⣩⣤⣬⣭⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠁⢡⣣⠀⠀⠀ ⠀⠀⠘⠛⢁⣀⠀⠀⠀⠀⢸⣿⣿⣿⡿⣿⣿⡷⣀⠀⠀⠀⢣⢆⠀⠀ ⠀⣠⢪⡡⡔⡌⡧⡀⠀⠀⢻⣿⣿⠋⠁⠻⣿⣧⢈⢧⠀⠀⠀⡾⡀⠀ ⢀⠛⣦⣑⡡⠝⠋⠀⠀⠀⠈⢿⡗⢦⣄⠀⢹⣿⣿⣾⣷⢦⡀⢱⠘⡄ ⡜⠘⠛⠱⡀⠀⠀⡀⢀⢔⡭⠿⠿⢿⡶⢴⣿⠿⠋⠻⢾⡗⠳⡄⠀⢸ ⠁⠁⢰⠀⢁⡼⠁⠐⠚⢻⡇⠀⠀⠀⠀⠎⠀⠀⠀⠀⠀⠇⡀⠈⠀⣸ ⡆⠀⠈⡐⢹⡀⠀⠀⢀⠈⣿⡄⠀⠀⢠⠀⠀⠀⡄⠀⠀⠁⢐⢄⣠⢻ ⢳⠀⣞⠸⠂⡏⡆⠀⢺⢰⡿⠳⢦⣔⢺⣂⠐⠂⠴⢂⢰⠒⠸⣜⠁⠁ ⠀⠑⠒⠋⠁⠓⠓⠛⠈⠁⠀⠀⠀⡹⠰⠻⠀⠃⠐⠚⠉⠺⠀⢸⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡵⣅⣀⡀⠀⠀⠀⠀⠀⣇⢆⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡃⠀⠑⠀⠀⠀⠀⢠⡫⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡐⠉⢲⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣻⠁⠀⠀⠀⠀⣠⠚⠉⠑⢄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢠⢊⠜⣦⡀⠀⢨⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡁⠀⢀⣔⠏⠐⠉⠍⠱⣤⡾⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠋⠀⠋⡎⠀⠀⠀⠀⠈⢆⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡃⠀⠀⠀⡃⠀⠀⠀⠀⠈⠿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡔⠀⠉⢆⡀⢱⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠉⠀⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠞⠋⠉⠁⠀⠀⠀⠈⠉⠛⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠉⠀⠀⠀⠀⠀⠀⣀⡠⠖⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⠀⠀⠀⣀⣠⣴⣯⣵⣦⣤⣮⣄⡀⠀⠀⠀⠙⠟⠛⠛⠋⠉⠙⠛⠳⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⢻⣿⢟⡯⣉⣽⣇⡬⠵⣬⡽⠟⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡯⢩⣾⣿⠟⠋⠁⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣇⣠⡵⠛⠁⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣬⣭⣑⠂⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡉⠉⢰⡇⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⣀⣽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀ ⠀⠀⠀⢀⡀⠀⣖⠀⢀⡀⡀⢰⣶⢰⡄⣷⠀⣸⠇⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠢⣤⣄⣘⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⡇⠀⣿⡀⢸⣷⣷⢸⣿⢸⣇⣿⡄⣿⡄⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠓⢸⡇⠀⠀⠀⠀⠈⠓⢮⡍⠀⠀⠀⠀⡆ ⠀⠀⠀⠘⣷⣴⣿⣧⢹⢿⣿⣿⡋⢸⡏⢹⣗⣿⡇⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠉⠀⠀⣼⠃⠀⢠⣤⣤⡔⠦⡄⢳⡀⢀⡴⠞⠁ ⠀⠀⠀⠀⢹⣯⠈⢻⣼⡏⠋⢿⣧⠸⣿⢸⣿⣿⠃⠀⠁⠀⢹⣆⠀⠀⠀⠀⠀⠀⢀⣤⡤⡦⠀⠀⠀⠀⠀⠀⠀⣰⢠⡀⣴⣾⠃⠀⠀⣠⠴⠋⠀⣠⠏⠀⠈⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣇⠘⠗⠙⠀⠈⠁⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠹⣧⡀⠀⠀⠀⠀⣾⡟⣵⡝⡿⡀⢠⢄⣀⣴⢰⣯⢈⣷⡿⢁⡠⠖⠋⢁⣠⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⣀⣬⣿⢶⣄⣀⡀⠁⠀⠟⣽⡿⡵⣡⣛⣿⣧⣿⣿⢿⣿⣀⡀⠀⠐⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠶⠖⠒⠲⣶⣦⣴⠿⠛⠁⠸⠀⠈⠻⣏⠁⠀⠉⠉⠉⠛⠛⠛⢻⡿⠛⠁⡟⠉⠛⢿⣷⣤⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⠛⠉⠀⠀⠀⠀⠀⠀⣿⣄⣀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⢀⣠⠴⠛⠉⠀⠀⠀⠉⠉⠛⠻⣷⣤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⣀⡴⠀⠀⠈⠉⠓⠲⢤⣀⡀⠀⢀⡇⠀⣀⣤⠶⠿⠒⠚⠋⠉⠉⣹⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⢀⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⣈⡧⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀ ⠀⠀⠀⠀⣠⣴⠯⠤⠤⠤⣄⣀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠛⠛⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄ ⠀⠀⢠⣾⠟⠉⠀⠀⠀⠀⠀⠍⠳⣤⡟⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠈⠓⢦⣄⠢⡀⠀⠀⠀⠀⠀⠀⠀⢹⡇ ⠀⢠⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⠛⠲⠞⠋⠁⠙⢦⡀⠀⢰⠏⠀⠀⢀⣠⠴⠚⠋⠙⠶⢦⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣦⡀⠀⠀⠀⠀⠀⠀⣸⡇ ⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣦⠄⠀⠀⠀⠶⠶⠶⠿⠶⠿⠒⠚⠛⠉⠉⠙⠓⠶⢦⣄⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⢠⣿⠇ ⠀⣿⠀⠀⠀⠀⠀⠀⢀⣠⡤⠤⠴⠿⣿⡀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⢠⣿⠋⠀ ⢀⣿⠀⠀⠀⢀⡴⠞⠉⠁⠀⠀⠀⠀⠈⠻⣄⢢⠙⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⢰⣿⠏⠀⠀ ⢸⡇⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⢷⡀⠀⠉⠙⠒⠦⢤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡗⠒⠒⠒⠒⠒⠒⠒⠒⠒⠲⢤⠀⠀⠀⢠⣿⠏⠀⠀⠀ ⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠙⣦⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡿⠃⠀⠀⠀⠀ ⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠁⠀⠀⠀⠀⠀ ⠀⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⢿⢶⣶⣤⣄⣀⣀⣀⣀⣀⣀⣠⣤⣴⣶⣾⡿⠿⢻⡏⠉⠉⠙⠛⠛⠻⠿⠶⢦⣄⣀⡀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⣿⡅⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠈⠑⠠⠭⠙⠛⠛⠛⠶⠟⠛⠛⢿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⠛⠃⠀⠀⠈⠓⠆⠀⠀⠀⠀⠀⠈⠓⠀⠀⠤⠤⠤⠤⠤⠤⠖⠃⠀⠀⠀⠀⠀⠛⠛⠒⠚⢛⡛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠶⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠁⠀⢀⣠⡾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡄⠀⠀⣰⠋⠀⠀⠀⣠⠟⠁⠀⠀⠀⣀⣤⠖⠁⠀⢀⣠⠤⠶⠒⠲⢤⣄⠀⠀⠀⠀⣀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡴⠖⢆⠀⠀⠀⠀⠀⠀⠈⠛⠂⢀⡏⠀⠀⠀⣰⣏⣀⣀⣀⣀⣞⣉⠁⢀⣤⠞⠋⠁⠀⠀⠀⠀⠀⠹⣧⠄⠀⠀⢁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠓⠀⠀⠀⠀⠀⠀⠀⣠⡼⠇⠀⠀⠀⢉⣀⣀⣀⣀⣉⡉⠙⠛⠛⠁⠀⠀⢀⣤⡴⠶⠶⠶⠞⠃⠀⠀⣰⠏⠙⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡼⠁⠀⠀⣠⠋⠙⣆⠀⠀⠀⠀⣰⡾⠿⠶⠚⠉⠉⠉⠉⠁⠀⠀⠀⠈⠉⠉⠙⠒⠶⢤⣐⠿⣀⠀⠀⠀⢁⡔⠀⠀⣸⠃⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⠃⠀⠀⢰⠃⠀⠀⠈⠀⠀⢀⡾⠋⢠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠺⣷⣄⠀⠈⠁⠀⢰⠃⠀⡾⠁⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡏⠀⠀⢰⡇⠀⠀⠀⠀⠀⢠⣾⣡⣴⠯⠴⠒⠻⢿⡋⠉⠉⠉⠛⠋⠉⣩⠛⠛⠒⠶⢤⣄⡀⠀⠀⢸⢻⡇⠀⠀⢠⡇⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⠀⠀⠀⡞⠀⠀⠀⠀⠀⢀⢠⣿⠋⠀⣠⠔⠒⠓⢲⡍⠀⠀⠀⠀⢰⣯⠕⠒⠲⣤⡀⠀⠈⠉⠓⠦⣬⣸⣿⣀⠀⡞⠀⢰⡇⠀⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡏⠀⠀⢰⠇⠀⠀⢀⣠⣶⣾⢿⡟⠀⠀⠳⣄⣀⣠⡴⠃⠀⠀⠀⠀⠘⣇⠀⠀⢀⣼⠇⠀⠀⠀⠀⠀⠀⣹⡿⠙⢿⣟⠂⣼⠘⠛⠷⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡇⠀⠀⣸⠀⣠⣾⡿⠋⠁⣽⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠶⡾⠋⠀⠀⠈⠙⠉⠉⠀⠀⠀⠀⠀⠤⠂⢀⣿⡇⠀⣸⠈⠳⡟⠀⠀⠀⠀⠙⠻⣷⣤⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠁⠀⠀⡇⣸⡿⠙⡇⣀⣠⠧⣄⣷⠀⠀⠀⠀⠀⢸⣀⢀⣼⣦⡀⠀⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡼⠁⢀⡇⠀⢸⠃⠀⠀⠀⠀⠀⠀⢱⡄⠙⠳⣄⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⣸⣷⡟⠀⠐⠋⠁⠀⠀⠀⠹⡏⡄⢀⠀⠀⠀⠉⠉⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⢰⢰⢆⡀⢠⡾⠃⠀⢸⠃⠀⢸⠐⡂⠠⠤⣄⡀⠀⠀⢻⠀⠀⠙⢷⣄⠀⠀ ⠀⠀⢸⠀⣠⣿⢹⢡⠄⠀⠀⠀⠀⠀⠀⠀⠙⣦⡛⠀⡆⢠⡄⠀⣄⠀⣀⠀⢀⠀⠀⠀⠀⡀⠠⣼⡛⠒⣯⠟⠁⠀⠀⡜⠀⠀⡏⠀⠀⠀⠀⠀⠙⠢⡄⢸⡀⠀⠀⠈⠛⢧⡀ ⠀⠀⢸⡼⠁⢸⢸⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡛⢦⣇⠀⠇⠁⠸⡄⠘⡄⠌⢢⡘⠉⠢⣝⢢⣄⣽⢿⠃⠀⠀⠀⢰⡇⣠⢴⡇⠀⠀⠀⠀⠀⠀⠀⠀⣸⡉⠉⠀⡆⠀⢰⡿ ⠀⠀⣾⠃⠀⣸⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣌⡙⠳⢶⣦⣥⣤⣥⣤⣤⣭⣶⣶⣾⡾⠛⠁⠞⢀⣀⡤⠞⢹⡏⠁⢸⠇⠀⠀⠀⠀⠀⠀⢀⣾⠟⠁⠀⣰⠃⠀⡼⠁ ⠀⢸⠻⡄⣰⠃⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠈⠛⠲⠬⣝⠛⠿⠿⣿⣿⡿⢟⣉⡤⠴⠖⠛⠋⠁⠀⠀⠘⢣⠀⢸⠀⠀⠀⠀⠀⣠⠾⠋⠀⠀⢀⣼⠃⢀⡴⠃⠀ ⢀⣼⠀⡇⡎⠀⠀⠀⠀⠀⠙⠦⣄⣀⠀⠀⠀⢀⠞⠃⠀⠀⠀⠀⠀⠀⠙⢦⣄⠀⠀⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢼⡀⠀⣀⣤⣞⣁⣀⣀⣠⣴⣿⡧⠶⠋⠀⠀⠀ ⢸⣏⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠈⠉⢻⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣵⣿⣿⡟⢻⡟⠛⢿⣯⡉⠁⠀⠀⠀⠀⠀⠀ ⠘⢿⣄⡄⠀⠑⢦⣄⡀⠀⠀⠀⢀⣠⣾⣏⠙⢷⣄⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⡿⣿⠾⣠⡟⠀⠀⠈⢻⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣿⣽⡄⠀⠀⠈⠉⠉⠙⠿⣿⠋⠀⠹⣧⠀⠙⢿⣦⣄⣀⠀⠀⠀⠀⠀⠀⢀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣤⣶⡫⣾⣏⡾⢋⡇⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢿⣿⣄⠀⠀⠀⠀⢸⡆⠹⣆⠀⠀⢿⠀⠀⠀⠈⢻⣟⢿⣟⠛⠛⠛⠛⠛⠻⣝⠓⠶⠖⡒⠶⣾⠖⢿⣿⣿⣹⣼⣏⣿⡿⢫⢸⣾⡇⠀⠀⠀⠀⠸⢿⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣇⡆⠀⢠⣇⡱⠤⠹⣆⠀⢸⠀⠀⠀⠀⢸⢻⠈⠙⡓⠒⢶⣦⣤⣤⡽⣦⣧⣃⣻⣂⣼⢀⣘⣂⣭⣾⢿⢻⠹⠇⢸⢸⣿⡷⢒⡀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⣯⡳⣼⣋⠀⠀⠀⠘⢦⣸⡄⠀⠀⠀⡜⢸⠀⠀⡇⠀⠀⠉⠻⣯⡀⠀⠻⠹⣿⢻⢿⣟⢻⠻⢻⢾⣼⣺⡀⠀⢘⣿⣿⣁⡾⠹⠀⡀⠀⠀⣼⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣮⡻⣗⢦⣀⠀⠈⣹⣷⡄⠀⠀⡇⢸⠀⡀⡇⠀⠀⠀⠀⠀⠉⠙⠲⠶⢿⢾⡸⠿⠷⢠⡏⠀⠈⠉⠉⠻⣯⡁⠘⢹⠀⠀⠀⡇⠀⡾⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠀⠀⠀⣠⣴⠟⠛⠚⠒⠛⠖⠋⣩⣷⢿⣆⠀⡇⢸⠀⠃⡇⠀⠀⣸⠀⠀⣤⠀⠀⠀⠀⠀⠙⢶⣤⣀⣀⣀⣀⣀⠀⠈⣿⣍⣓⣾⣄⠀⠀⣟⣄⣷⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⠀⣴⠾⣫⡄⠀⠐⣊⢡⡤⠤⠞⡷⢽⡒⠿⣶⡇⠘⣾⠀⣧⠀⡀⡟⡇⠀⢿⠀⠀⠀⠀⢠⡞⢻⠟⠉⣻⠭⠅⠀⠀⢰⣷⡟⠉⡽⠋⠛⣛⠋⠁⢸⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⠀⣿⣠⡟⠁⠀⢠⡿⠏⠀⠀⣰⡇⠀⠀⢠⣿⡇⠀⠈⠀⣹⢰⡿⠀⢻⣸⠸⣦⠤⠔⠰⠸⣧⣼⠀⠀⣇⠀⠀⢠⡖⢸⣿⣁⣀⣇⠀⢸⡇⠀⢀⣸⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⠿⣧⣤⣰⡏⠐⠀⠀⢸⣿⣦⣤⣤⣼⠿⡇⢰⢠⢀⣿⣃⠀⠀⠈⣿⠀⣿⠀⠀⠀⠀⠈⠉⠉⠛⠉⠉⠛⢋⡿⣾⣿⢉⣉⣉⣭⡭⠟⠚⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢈⣹⡇⠀⠀⠀⣸⡿⣻⡯⠤⢤⣤⣧⣾⣼⣾⣱⡿⡇⣰⣀⣿⣤⣇⣀⣀⣀⣀⣀⣀⣀⣉⣉⠉⠉⠉⠉⠉⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠻⠿⠿⠟⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⡀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⣠⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⠏⠀⣼⣿⠀⣀⣤⣶⣶⡾⢿⡋⠁⣴⣿⣿⡇⠀⠀⢀⣠⣤⣶⣾⣿⠿⠛⢋⣭⣶⣶⣀⣀⣀⢀⣀⣠⣤⣤⡤⠄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⠟⢋⡾⠋⠀⣸⣿⣿⠿⣿⡿⢻⣿⡄⠀⢧⣼⣿⣣⠟⢳⣤⣾⣿⡿⢿⣿⠏⣀⣤⣴⢟⣿⠟⢩⣼⣿⢿⣿⡿⠛⠉⠁⣠⣶⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⡿⢻⣇⣴⠟⠀⠀⣰⣿⢿⣿⡀⠈⢧⢸⡏⣳⣀⣾⣿⠟⠁⣠⡟⠋⠈⠁⢠⣿⠟⠉⣡⡾⢋⣾⣯⠴⠛⠋⢁⣾⠏⠀⠀⣠⣾⣿⣿⠏⠀⣀⣤⣶⣶⣶⣾⣿⠿⢿⣄⣤ ⠀⠘⠉⢀⣾⣟⣿⣧⡀⣰⣿⣧⠟⣿⡧⠀⣈⣿⡟⠉⣿⣿⠃⡀⣰⠏⠀⠀⠠⠚⣹⠇⠀⣴⣿⠾⣻⠟⠀⠀⠀⠀⣼⠏⠀⣠⣾⠟⣽⡿⠃⠀⠀⢛⠋⣩⣿⠟⠀⠀⣠⡾⣿⠇ ⠀⠀⠰⣿⣿⡏⠀⣿⣿⣹⠏⠣⠀⢸⠙⠒⠻⣾⣷⡾⣹⠃⣸⣽⠟⠀⠀⠀⠀⢠⣿⠖⠚⠿⢤⣰⠏⠀⠀⠀⠀⢰⠏⢀⣾⠟⢛⣻⣿⡥⠖⠚⠉⠉⢿⣿⠋⠀⣠⣾⣫⣾⠃⠀ ⠀⠀⠸⢣⣿⣇⡞⠁⢹⣿⡀⠀⠀⢸⠀⠀⣸⣿⠟⣡⡏⠠⠟⠛⠉⠙⠛⠲⢦⣼⢋⢧⡀⠀⠀⠙⣆⠀⠀⠀⢀⡟⣴⣿⣵⡾⢛⡿⠁⠀⠀⢀⡄⢀⡿⢿⣧⣾⠟⠉⣼⠇⠀⠀ ⠀⠀⠀⠞⣸⡏⠀⠀⡾⠉⠳⡀⠀⠈⣴⡾⠋⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣟⠛⠳⣤⣀⣸⢀⣠⣴⣾⡟⠛⠉⠀⠀⠞⠀⠀⠀⢰⠛⠇⠸⢀⣼⣿⡇⠀⡼⠃⠀⠀⠀ ⠀⠀⠀⢠⢻⠀⠀⠈⠁⠀⠀⠙⣠⣾⠟⠀⠀⡾⠁⠀⠀⢀⣀⣦⡀⠀⠀⠀⠀⠀⠀⠘⣧⠀⢀⣬⠴⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⡀⠀⠀⠈⠧⠤⢶⣿⡷⠾⠓⠘⠁⠀⠀⠀⠀ ⠀⠀⠀⠃⠀⠀⣰⠆⠀⣠⣾⠋⡿⠁⠀⠀⢸⡇⠀⠀⠀⣿⡁⠈⣟⠂⠁⢠⡾⡛⡆⠀⠸⡄⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡼⢧⡀⠀⠀⢀⣀⣫⣧⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡴⠃⢀⡼⠛⠁⠀⠀⣀⡴⠖⠻⡇⠀⠀⠀⠈⠙⠫⡅⠀⠂⠀⠳⠶⠃⠀⢀⡇⠀⠀⠀⠀⠀⠰⢾⠿⠛⠛⠛⠒⠒⠾⢿⣿⣟⣋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⠁⢠⠏⠀⣠⡶⠖⠺⠥⢤⡀⠀⢷⡀⠀⠀⠀⠀⠀⣽⢯⣹⠏⠀⠀⠀⠀⣾⣄⣀⣀⡀⠀⠝⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠃⣠⠾⠋⠀⠀⠀⠀⠀⠈⠳⣌⠻⣦⡀⠀⠀⢰⠇⠀⢸⠀⠀⢠⣀⠾⠓⠋⠁⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⣤⠀⠀⠀⢀⠀⠀⠉⡿⢿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⢃⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠒⠙⣦⡈⠛⢶⣤⣾⣳⣒⣿⣤⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⣀⠀⠀⠀⠀⡇⠀⠀⠀⣼⠀⠀⢠⣇⣤⣿⣒⣲⠤⠄⠀⠀ ⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠉⣉⣳⣮⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣼⠿⠆⠀⠀⠀⡇⠀⠀⠀⡇⠀⠀⡜⠀⠈⠉⠉⠙⠛⠒⠀⠀ ⠀⠀⠀⠀⠸⣾⡆⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠁⠀⠉⠉⠙⢻⡆⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠘⠲⣄⣀⣀⣰⣧⣄⣀⣀⣇⣀⣰⠃⠀⠀⢀⣠⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⣦⠈⠻⢦⣀⡆⢀⠀⠀⠀⠀⣰⠞⠁⠀⠀⠀⢀⡀⠀⠀⠀⢳⠀⠀⠀⠀⢉⡓⠪⢷⣲⡤⡄⠹⣄⠀⠀⠀⠀⠀⠈⠉⠉⠈⢙⣇⣴⣟⡀⠀⠀⠀⢸⡙⠁⠀⠀⢀⠀ ⢰⡆⠀⠀⢻⠀⠓⢤⣈⠉⠓⠛⠷⠶⢶⠯⠄⠀⠀⡀⠀⠀⠳⡄⠀⠀⠈⣇⠀⠀⠀⡸⠁⠀⠀⠀⠈⠙⠒⠈⠳⣤⡀⠀⣀⣀⣤⠤⠖⠛⠉⠀⠈⠻⣶⡄⠀⠀⠳⢤⣄⢐⡉⠀ ⢰⡇⠀⠀⠈⠃⠀⠈⢻⡉⠓⠢⠤⣄⣰⣀⠀⠀⠀⠳⣄⠀⠀⠹⣄⠀⣀⣼⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠉⠉⠡⠤⣀⣠⡒⠲⢦⡄⠀⠀⠙⠿⠵⢶⣤⣤⡾⠉⠀⠀ ⢻⣇⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⡀⡈⠙⠻⣦⡀⠀⠀⠈⢦⣀⡴⠏⠉⣡⡟⠀⢩⢿⣤⣠⣤⣤⣴⠶⠶⠶⣤⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠶⠷⠶⢤⣤⣀⣀⣀⣀⠀⠀⠀⠀⠀ ⠈⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⠙⠛⠛⠻⠷⣮⠻⢦⣀⣀⡴⢷⡤⠶⠛⠁⠀⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠈⢹⡇⠀⠀⠀⠀ ⠀⠈⠘⣦⡀⢠⠏⠀⠀⠀⠀⠀⠀⠀⢦⠀⠘⣧⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⢳⡀⠀⢷⠦⣤⣀⣀⡀⠀⠀⠀⠀⢠⠀⠀⡀⠀⢹⡄⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⣾⠀⠀⠀⠀⠰⡄⠀⠀⠈⢧⠀⠘⣇⠙⠓⠲⠤⣤⣄⣀⣀⣤⠀⠀⠀⡀⠀⠀⠈⢧⠀⠀⠀⢳⠀⢸⡆⠀⠈⠉⠙⠻⣶⠀⠀⡞⠀⠀⢰⠀⢸⡁⠀⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣧⢲⡄⠀⠀⠹⡄⠀⠀⠘⣇⣠⡾⠆⠀⠲⣤⣀⠀⠈⠉⠙⠳⢦⣠⡿⣄⠀⠀⠘⡆⢀⣠⠼⢗⣿⠃⠀⠀⠀⠀⠀⢹⣀⣀⣛⣒⣲⠟⠀⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣿⢦⡀⠀⣸⡤⠒⠋⣉⣨⡧⠀⠀⠀⠉⠚⠭⣕⣒⡢⠤⣄⣈⡛⠿⢦⠤⠤⣿⣉⡤⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⡛⢛⢙⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠒⠺⠥⣤⣤⣄⣈⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⠏⠌⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠀⠀⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠃⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⠃⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠃⠀⠀⣾⣿⣿⣿⣿⣿⣦⠀⠈⠻⣿⣿⣿⣿ ⣿⠀⠀⠀⣿⣿⣿⠟⠉⠉⠉⢃⣤⠀⠈⢿⣿⣿ ⣿⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⢹⣿⣧⠀⠀⠙⣿ ⣿⡆⠀⠀⠈⠻⡅⠀⠀⠀⠀⣸⣿⠿⠇⠀⠀⢸ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠔⠛⠁⠀⠀⠀⣠⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿ ⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿ ⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿ ⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⡿⠋⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣿⠿⠛⠁⠀⠠⢺⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⠿⠛⠉⠀⠀⢀⣴⠋⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠿⠋⠁⠀⠀⠀⣀⡶⣿⠇⠀⠀⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠋⠀⠀⠀⠀⢀⣤⠞⠋⣴⠇⠀⠀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠋⠀⠀⠀⠀⣠⡶⠋⠁⢀⣼⠋⠀⠀⣴⣿⣥⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣼⡿⠃⠀⠀⠀⣠⡾⠋⠀⠀⢠⡾⠁⠀⢀⣼⠿⠛⠉⠉⠀⠈⠉⠉⠛⠻⠿⢿⣶⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⢀⣼⠏⠀⠀⢀⣴⠏⠀⢀⣤⡟⠋⣀⣠⣤⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⢻⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡏⠀⠀⠀⣾⠏⠀⢀⣴⠟⢁⣤⣶⢿⣩⣴⠞⠋⠉⠀⠀⠀⠀⠈⠉⠉⠉⢓⣲⣶⠶⠋⠁⠀⣠⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀⢸⣿⣠⡶⣋⣵⣾⠿⣯⠾⠿⠯⠤⠴⠶⠶⠶⠶⠶⠶⠾⠛⠛⠋⠉⠁⢀⣀⣠⣴⣾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⣼⢫⣥⣾⣿⣿⣴⣶⣶⣾⣿⠿⠿⠾⠶⠶⠶⠶⣶⣶⣶⣶⣶⣶⠾⠿⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠘⠁⣾⡿⡟⠋⠉⠀⠀⠀⠉⠻⢿⣦⣄⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⢀⣼⠋⠘⠓⠶⢶⣶⣶⣦⣄⠀⠀⢹⣿⣛⣻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣦⡞⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣷⡄⠀⢻⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠛⠁⠀⠀⠀⣾⠟⢻⣿⡟⠻⣿⣿⣿⡆⠀⣿⣿⣯⡀⠹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⡿⠟⠋⠀⠀⠀⠀⠀⢴⣿⡀⠸⣿⣷⠀⢸⠀⠀⠀⠸⣿⣿⡌⢻⠀⠹⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠒⠶⠶⠟⡂⠀⣠⢤⣬⣿⣦⣾⡧⠀⠈⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⣿⣵⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⣠⡤⠾⠛⠛⣿⢿⣿⣿⣿⣦⡈⠻⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⢿⣿⠋⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⣠⠆⣠⣶⠶⠶⣦⣤⡾⠋⠀⠀⠀⠀⠹⣾⣷⣶⣿⣿⣷⡀⠈⠻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠁⢸⣿⠀⣠⡆⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⣠⣶⣿⣿⠻⣶⣯⡁⠀⠀⠀⠀⠀⠀⠈⠛⢿⡟⠋⠈⣧⠀⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣴⡟⠀⠀⠀⠀⠀⠀⠀⢰⡟⣠⣾⣿⠋⠀⢈⠀⣤⡈⠻⣶⣄⡀⠀⠀⠀⠀⠀⣸⠃⠀⢠⡟⠀⢹⣧⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⢸⠀⣿⡿⠿⠖⠚⠛⠛⠒⠒⠶⠶⣬⣝⣷⣶⣤⣤⢶⠿⢶⣶⡏⠀⣰⠄⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⠿⣷⡀⠀⠀⠀⠀⠀⠸⠀⠠⠀⠀⠒⠛⠛⠲⠶⠦⠄⠀⠀⠀⠉⠛⠻⠶⠿⠶⠛⢸⡇⢀⣿⣦⣿⡏⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⢿⣄⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⢡⣾⠟⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣟⣠⠙⢷⣤⡈⠻⢷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠷⠶⣶⣖⡤⠾⣋⣷⣿⣿⡀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣤⣄⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⠋⠁⠀⠀⠙⠻⣦⣄⠈⠙⠻⢶⣤⣄⡀⣦⣤⣀⣀⣀⣀⣀⣀⡀⠀⣀⣠⣽⣿⣶⠿⠛⠛⠋⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⡿⠋⡍⠛⠻⢿⣶⣤⣀⠀⠀ ⠀⠀⢠⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠙⠳⣶⣄⣀⠈⠉⠙⣿⠉⠉⠉⠉⠉⠉⠉⢿⡋⠉⠉⠻⣿⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⢀⣰⣶⣾⡿⠟⣫⠁⡄⠀⡗⠒⠲⠆⠸⣻⡿⠀⠀ ⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠶⣦⣿⡀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⣿⣇⣴⣾⠿⠻⢿⣿⣀⣸⣿⠟⠁⢠⠃⠀⠀⠀⠀⣿⣇⠀⠀ ⠀⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢻⣇⠀⠀⠀⠀⢀⣤⣾⣿⣤⣤⣶⠿⠻⣿⣿⡿⠿⠿⣿⣿⣿⠁⠀⢠⣄⠙⠛⠉⠁⠀⣠⠟⠀⠀⠀⠀⠀⡏⠻⣷⡀ ⢸⣿⠇⠀⠀⠀⢀⣶⠚⠛⠛⠛⠶⢦⣄⠀⠀⠈⠉⠙⠛⠻⢿⣦⣤⡶⠞⠛⠉⠀⠀⠀⠀⠀⠀⠳⢮⣻⣿⣄⠀⠀⠸⣿⣦⠀⠀⠉⠓⠶⠶⠶⠚⠁⠀⠀⠀⠀⠀⠀⠁⢀⣿⠇ ⣿⣿⠀⠀⣠⡴⠛⠁⠀⠀⠀⠀⠀⠀⠉⢳⡄⠀⢀⠀⠀⠀⠀⠈⣝⣿⣆⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣦⡀⠀⣸⣟⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⡆ ⣿⡏⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⢣⠀⠈⢣⡀⠀⠀⠀⠙⣮⣿⡆⢰⡄⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡄⢿⣿⡀⠀⠀⠀⠀⠠⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⢻⣷⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠘⢧⠀⠈⢳⡀⠀⠀⠀⢹⣿⣿⣼⣷⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡎⠻⣷⣄⡀⠀⠀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃ ⠘⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⡇⠀⠀⠀⣼⣟⠛⠿⠛⠛⠲⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⢿⣷⠀⠈⠛⢿⣦⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀ ⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠀⠈⠢⣿⡴⠄⠀⢠⡿⠙⠳⣤⡀⠀⢦⡀⠉⠙⢶⣄⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⣽⡏⣠⡶⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀ ⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⣿⠁⠀⢠⠿⠁⠀⠀⠈⠛⢤⣀⠙⢦⣄⠀⠹⣷⡀⠀⣼⠀⣿⡇⠀⣀⣠⣴⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀ ⠀⢿⣿⣆⠀⠀⠀⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠤⠶⠋⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠈⣧⠀⠘⣷⣼⣧⣾⣿⣿⣿⠟⠛⠁⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀ ⠀⠈⢿⣿⡸⣦⣤⠀⠀⠈⠁⠀⠀⠀⠀⠀⠄⢀⣴⣶⠿⢦⡀⠀⠀⠀⠀⠀⠀⣀⣠⣤⠼⢿⣿⣿⣦⡾⠟⠉⠀⠀⠚⠉⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠀⠀ ⠀⠀⠈⢻⣷⡹⣾⡷⣦⣄⡀⠀⠀⢀⣠⡤⢾⣿⠟⠁⠀⠀⠙⢦⡀⠀⠀⠀⠀⠉⠁⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠁⠀⠀⠀⢀⡔⠀⠀⠀⠀⠀⢰⣿⠃⠀⠀ ⠀⠀⠀⠀⣿⣿⠎⠛⢾⣯⣍⣉⣉⣉⠉⠀⠈⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠠⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣦⠀⠀⠸⣦⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠐⢤⣀⠈⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣷⣦⡀⠘⣷⡄⠀⠀⠀⢲⡄⠀⠀⠀⠀⠀⠀⠉⠳⢤⣀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⣏⠻⠿⢾⣿⣦⡀⠀⠀⠘⠦⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⣴⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣄⡀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⠗⠒⠋⠙⢿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣷⣶⡾⠇⠈⠙⠿⢿⣶⣄⣀⣀⠀⠀⠀⠀⠀⠀⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⢀⣠⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠿⠿⠿⠿⠿⠿⠿⠷⠿⠿⠿⠿⠿⠿⣷⣶⣶⣶⣦⣭⣿⣷⣄⡀⠀⠀⠀⠀⠂⠀⠀⢀⣴⣯⣴⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢶⣾⣿⣿⣥⣶⡶⠀⠀⠀⣀⣴⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣿⣿⢿⣿⣶⣾⠿⠿⠿⢋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⠏⠌⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠀⠀⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠃⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⠃⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠃⠀⠀⣾⣿⣿⣿⣿⣿⣦⠀⠈⠻⣿⣿⣿⣿ ⣿⠀⠀⠀⣿⣿⣿⠟⠉⠉⠉⢃⣤⠀⠈⢿⣿⣿ ⣿⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⢹⣿⣧⠀⠀⠙⣿ ⣿⡆⠀⠀⠈⠻⡅⠀⠀⠀⠀⣸⣿⠿⠇⠀⠀⢸ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠔⠛⠁⠀⠀⠀⣠⣿ ⣿⣿⠀⠀⡆⠀⡀⠀⡆⡤⠤⠀⠀⠀⢀⣴⣿⣿ ⣿⣿⠃⠀⢳⠞⢣⡼⠀⡗⠒⠀⣠⣾⣿⣿⣿⣿ ⣿⣿⡇⠀⠀⠀⠀⠁⠀⠉⠉⣠⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⠀⡴⠒⠆⠀⡖⢲⢰⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⣇⣐⡖⠀⣇⣸⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠁⠀⡆⢰⠀⡴⣠⢷⠀⢹⣿⣿⣿⣿⣿⣿ ⣿⠟⢠⠀⡇⢸⢠⠃⠁⠘⡆⢠⣿⣿⣿⣿⣿⣿ ⡟⠁⠈⠉⠁⠈⠈⠀⠀⠀⠁⢸⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⠏⠌⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠀⠀⠸⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠃⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⠃⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠃⠀⠀⣾⣿⣿⣿⣿⣿⣦⠀⠈⠻⣿⣿⣿⣿ ⣿⠀⠀⠀⣿⣿⣿⠟⠉⠉⠉⢃⣤⠀⠈⢿⣿⣿ ⣿⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⢹⣿⣧⠀⠀⠙⣿ ⣿⡆⠀⠀⠈⠻⡅⠀⠀⠀⠀⣸⣿⠿⠇⠀⠀⢸ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠔⠛⠁⠀⠀⠀⣠⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿ ⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿ ⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿ ⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⣠⣶⣦⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠟⠻⠿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢄⠴⢵⣾⣾⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢆⠀⣟⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣠⣔⢛⣴⡟⠑⢢⡄⠀⠀⠀⠀⠀ ⠀⢠⠊⡄⠉⠀⠋⠀⠀⠀⠀⠀⢓⠀⠀⠀⠀ ⢀⠞⠀⡧⢀⣤⡀⠀⠀⢠⣴⡄⠀⠉⢄⠀⠀ ⡏⠠⢤⣿⡄⠠⣥⣽⣦⡞⢿⣧⣠⠀⠀⠁⠀ ⣆⣀⠠⢤⣴⣷⣂⠉⡒⣄⣼⣿⠿⠷⠄⠀⠅ ⠀⠈⠉⢹⡛⢛⢷⣾⣿⣧⣤⣤⣦⣶⣿⡟⠀ ⠀⠀⠀⣼⣷⣚⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⡿⣿⡿⠿⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣇⢠⠈⠙⣻⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⢋⣯⣶⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡍⣿⢇⣹⣿⢱⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⣿⠿⡉⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣰⢐⣽⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⢿⣿⣿⣈⣽⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠣⠄⠺⡿⠿⢿⠕⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠂⠁⠐⣢⡞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡔⠀⠀⠀⠀⡽⠯⠚⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠒⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢐⡐⠁⣀⣹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣻⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢴⡔⠿⡿⢿⠿⠻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠃⢄⠀⡶⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣎⢿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠐⣿⣿⣷⣿⣿⣿⣿⣆⣁⣉⡉⣁⠀⠀⠀⠀⠀ ⠀⠀⡠⣤⠅⠀⠉⣽⣟⣿⣯⣿⣿⣿⣿⣿⣷⣽⣴⡄⠀⠀⠀ ⣸⣿⣿⣦⣔⡀⠀⠈⢟⢿⢷⣛⣭⣿⣿⣿⣟⠟⠛⠧⠀⠀⠀ ⣿⣿⣿⣿⣿⢇⣄⠀⢈⣹⣿⣿⣿⡶⣼⣿⣿⣿⣿⣦⣤⠀⠀ ⣿⣿⣿⣿⣟⢮⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣦⡀ ⣿⣽⣿⣿⣿⢉⠉⣿⣿⣿⠿⢿⣵⣼⣿⣿⣝⠹⣿⣿⣿⣿⠇ ⡻⣿⣿⣇⣿⠅⠀⠹⡇⣿⣿⣷⣞⣿⣿⣿⣿⠀⠈⠛⠿⠟⠀ ⣿⣿⣿⡿⠁⡳⠄⡈⡷⣭⢷⣽⣿⣿⣿⠿⣭⢵⠀⠀⠀⠀⠀ ⢿⣿⣿⡇⠀⠘⣆⠀⢻⢮⣾⣷⣿⣿⣿⣻⣶⢿⡄⠀⠀⠀⠀ ⢸⣿⣿⣷⡀⠀⠈⡄⠈⠘⡛⣿⣽⣿⢻⣽⡯⡘⣆⠀⠀⠀⠀ ⠈⣿⣿⣿⡇⠀⠀⡇⠀⠉⣻⢽⣿⡳⣻⡷⠏⠑⣸⡳⡀⠀⠀ ⠀⠘⣿⣿⡇⠀⠀⣇⠄⣞⢻⣺⣿⣽⣵⣶⠿⡿⢿⣧⢺⠀⠀ ⠀⠀⠘⣿⣿⠀⢀⣥⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣜⢲⠀
🏋🏽🔥💪🏼🎧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⣿⣿⣿⡿⣿⣻⡿⠟⣩⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⡟⡿⣽⡻⣟⣿⣻⣟⣿⣻⡟⡿⣏⣿⣽⢫⣟⡿⣽⢿⣿⣟⣿⣻⣟⣿⣻⣟⡿⣿⣻⢿⣟⣿⣻⢿⠉⢻⣯⢿⠀⠈⣿⣟⡿⣿⢿⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⢷⣿⠟⠋⠀⠞⣱⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣯⢞⡽⢳⣳⢽⢯⣶⣻⣼⣳⢯⢿⡽⣹⠋⣿⣏⡾⣽⣽⣿⣻⣾⣷⣻⣞⣷⣻⢾⣻⣽⢯⣿⢾⣽⢯⣟⡷⣾⡽⣾⠆⢀⡿⣞⣿⣟⣿⣿⡇⠀⠀ ⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣟⣿⠟⠋⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⡿⣽⣯⢿⣿⣿⣿⣿⣿⣿⣟⡾⣁⢠⡟⣞⣯⠶⣏⡶⣯⣟⢾⡿⣽⣠⣟⣾⣟⡷⣿⣷⣿⣿⣿⣷⣟⣾⣽⣟⣯⣿⣻⣽⢿⣾⣻⣽⣻⢷⣻⣽⢿⡾⣟⣿⣽⣿⣯⣿⣿⠀⠀ ⣴⣶⣿⣿⣿⣿⣿⣿⡿⣿⣿⠿⠛⠉⠀⠀⠀⣠⣶⣿⣿⣿⣾⣿⣿⣿⣿⣽⡷⣯⢿⣿⣿⣿⣿⣿⣿⣯⢷⢯⣛⡾⣽⣾⣻⠽⣯⢷⢯⣿⡿⣽⢯⣛⣾⣿⣽⣿⣿⣿⣿⣿⣿⣿⣽⡾⣯⣿⣳⣿⣯⣿⣷⡿⣯⣿⢿⣻⣯⣿⣿⢿⣟⣯⣿⣿⣿⣿⡆⠀ ⣿⣿⣻⣿⣽⠿⡿⠷⠛⠉⠀⠀⠀⠀⣀⣴⣿⢿⣿⡽⣟⣯⢿⣻⣟⣯⣟⣷⡿⠟⣻⣿⣿⣿⣿⣿⣿⣞⣯⠿⣽⣽⣿⠷⣯⢿⡽⣯⢿⣾⣿⣯⢿⣽⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⣷⣿⣻⣿⣷⣿⣿⢿⣻⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠟⠁⠁⠀⠀⠀⠀⢲⣂⣀⣀⣠⣴⣛⣉⣭⣤⣴⠿⠿⠿⠟⠛⠛⠉⠉⠀⠀⢀⣼⣿⢷⣯⢿⣿⣿⣟⣾⣽⣻⣷⣿⣿⣻⡽⣯⢿⣽⣿⣿⣷⣯⢿⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣴⣾⣿⢿⣯⣿⢾⣟⣾⣻⣽⣞⣷⣻⣾⣿⣳⢯⡿⣽⣻⣿⣿⣿⣷⢿⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣆⣀⣀⣤⣤⣤⣤⣴⣶⣶⣾⣿⣿⣿⣿⣻⣽⣾⡿⣷⣯⡿⣯⣷⢿⡾⣽⣾⣿⣿⣳⡿⣯⣟⣿⣳⢏⢩⣿⣿⡿⣽⣿⣿⣿⠿⠫⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⣿⢿⣯⣷⣿⣟⣾⣟⣷⣯⣿⣻⣽⣾⣿⢯⣿⡽⣷⣻⣽⣫⠴⢺⣿⣯⣿⣿⣿⣿⡏⣤⡞⢋⢁⡾⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠷⠿⢿⣿⣿⣻⣯⣷⣿⢿⣽⣿⣟⣷⣿⣿⡿⣯⡿⣷⢿⣽⠟⠁⠀⠀⣿⣿⣯⣷⣿⣿⣿⡇⠀⠙⠳⣤⡂⠱⡈⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣶⣶⣤⣤⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠦⠄⣉⣽⣿⣿⣿⣿⣟⣯⣿⣿⢿⣽⡿⣽⡿⠋⠁⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠙⠳⣤⠐⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣻⣯⡷⠟⠁⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠈⠓⣿⣿⣿⡟⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⠄⠠⠐⣠⣉⣓⣶⣄⡀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⡷⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠑⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣠⣼⣶⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣭⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠤⣿⣿⠳⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⠈⠙⠲⢤⡀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⣠⠤⠖⠋⠉⠀⠀⠀⣿⠃⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠸⣿⣿⣿⣿⣿⡿⣿⡛⠉⠀⠀⠀⠀⠀⠀⠙⠓⠮⣴⡲⢍⡳⣄⠀⢠⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠴⠋⣡⠤⣦⣤⠤⠤⠄⣸⠏⣀⣀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣄⠹⡟⠙⣿⣇⠞⠱⠶⢶⣿⠿⢿⣿⣿⣿⣷⣶⣦⣄⡉⠓⠿⠀⢠⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠘⠛⠋⣁⣤⣴⣾⣿⣿⠟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⣻⢳⡀⢻⣇⠀⠀⠀⠘⣿⡀⣿⣿⣿⣿⣿⣿⣉⣹⠿⣷⡂⢠⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣧⣠⣿⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡇⠄⢻⠀⠀⠀⠀⠀⠀⠈⠳⡸⣿⠟⠿⣿⠿⢿⡿⠀⠀⣹⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢻⣿⣿⣿⣿⠿⣿⠃⠀⠞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣧⠀⢻⡌⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣦⣤⣴⣋⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠻⢯⣄⣠⣴⠧⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⣿⣟⣿⣿⣻⣿⣿⣿⡿⣿⣽⣿⣿⣿⣿⣧⡀⣻⣌⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢀⣄⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⡉⠁⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⣿⣟⣿⣯⣿⣻⣿⣿⣟⣿⣿⣿⢿⣾⡿⣿⣿⣿⣦⡉⢛⠻⣆⠀⠀⠀⠀⠀⠀⠁⠂⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⡀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢿⣯⡿⣷⣻⣾⣿⣿⣷⣿⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣄⠢⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿ ⣿⣯⣷⡿⣿⢿⣿⣿⣿⣿⣿⣿⣯⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣶⣾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⢁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣟⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿ ⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⣯⣿⣿⣿⣿⣿⡎⠉⠛⠁⣺⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠖⠋⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⢿⣻⣿⣽⣾⣿⣿⣿⢿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡿⠛⠀⠀⠠⣽⢻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣟⣿⣿⣿⢿⣿⣻⣷⡿⣯⣿⢯⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣽⣿⣿⣿⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣤⣤⣤⣤⣴⣶⣶⡶⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣵⣿⣿⣿⣽⡿⣿⣻⣾⣿⣻⣽⣷⢿⡿⣽⣟⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠘⣯⢙⡛⢤⠃⡍⢻⡟⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣟⣯⣿⢿⣻⣷⣟⣯⡿⣾⣻⣽⣻⣞⣷⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠈⠳⣼⣂⣭⡼⠋⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣽⣿⣻⢾⣽⢯⣟⣷⣻⣞⡷⣛⣮⢟⣯⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠈⠁⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⡷⣯⣟⡿⣞⣯⣟⡾⣵⢯⢾⣽⡿⢯⣾⣹⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠛⠛⣛⣛⢻⣿⣿⣿⣿⣿⣿⣿⣿⡟⣷⣏⣽⣿⣿⣾⣿⣿⣿⣷⣤⣄⡀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣯⣷⢿⣯⢿⡽⣯⢷⡯⣟⡽⣞⣧⣻⡇⠈⢷⣧⣟⣿⣿⣿⣿⢿⣿ ⣿⣿⣿⣿⡿⠿⠟⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣽⣿⣯⣿⣿⢹⣿⣿⣿⣿⡿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣿⣿⣟⣾⡿⣽⢯⡿⣽⢯⡿⡽⣝⣻⡟⢳⣿⡄⢸⣷⡺⣽⣿⣿⣿⣷⡙ ⠿⠛⡉⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣟⣿⣾⠟⣩⣾⡟⠿⣿⣿⣿⣵⣿⣮⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣽⣿⣿⣻⣿⡷⣿⢯⣿⡽⣯⢿⣽⣻⡽⣳⢿⣾⣯⢟⣿⡳⣿⣹⢿⣿⣿⣿⣷ ⣰⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠋⠁⠀⣾⣿⣿⣶⠾⣿⣿⣿⣿⣿⣷⣌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⣿⡷⣿⣿⣿⣽⣻⢷⣻⡽⣟⣾⣳⢿⣽⣻⣿⣿⣟⡾⣽⣳⢯⣟⣿⣿⣿⣿ ⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠟⣁⢲⣿⣿⣿⣿⣽⣿⣿⡄⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣿⣿⣾⣟⣿⡽⣿⡽⣾⣽⣻⣞⡷⣿⣿⣯⣿⢷⣟⣯⣿⢾⣻⣿⣿ ⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠟⠁⠀⠀⢸⣿⣿⣻⣽⣿⣷⣿⣿⡀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣾⣯⢿⡷⣿⣽⢾⡷⣯⣿⢷⣿⣿⣿⣿⣿⣽⣾⣿⣿⣽⣿ ⣄⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠘⠉⠀⠀⠀⠀⣸⣿⣿⢿⣟⣷⡿⠟⠋⠁⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣻⣿⣽⡾⣿⣻⣽⣾⡿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿⣿ ⣾⣿⣤⡳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣟⣿⣽⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿ ⣿⣿⢸⢷⣹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠠⠈⠄⠡⠀⠂⠀⣀⡄⠀⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣿⣾⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⢣⣏⡳⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡇⠀⠡⠈⠀⣁⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠳⢮⣱⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣧⠑⠄⣡⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡹⣇⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣿⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣽⣷⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⢲⡍⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠂⣿⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠻⣿⣿⣿⣿⣿⣻⣾⣿⡿⣿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻ ⣿⣿⡗⣮⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⢃⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⢻⣿⣿⣿⡿⣯⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⢿⣿⣿⣶⣹⡹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⣈⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

Warning: This item may contain sensitive themes such as nudity.

⠀⠀‎‎‎‎‎ ‎‎‎‎‎ ‎‎‎‎‎ ‎‎‎‎‎ ‎‎‎‎‎ ‎‎‎‎‎‎‎ ‎‎‎‎‎ ‎‎‎‎‎ ‎‎‎‎‎ ‎‎‎‎‎⠀⣠⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡿⠋⠁⠀⠀⠈⠉⠙⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⠇⠀⢀⣴⣶⡾⠿⠿⠿⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣀⣸⡿⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⡟⠛⣿⡇⠀⠀⢸⣿⣿⣷⣤⣤⣤⣤⣶⣶⣿⠇⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀ ⢀⣿⠀⢀⣿⡇⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⠿⣿⡏⠀⠀⠀⠀⢴⣶⣶⣿⣿⣿⣆ ⢸⣿⠀⢸⣿⡇⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⣿⡇⣀⣠⣴⣾⣮⣝⠿⠿⠿⣻⡟ ⢸⣿⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠉⠀ ⠸⣿⠀⠀⣿⡇⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀ ⠀⠻⣷⣶⣿⣇⠀⠀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣛⣛⣻⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀ ⠀⠀⠀⠀⢸⣿⣀⣀⣀⣼⡿⢿⣿⣿⣿⣿⣿⡿⣿⣿⡿⠀╰⋃╯PENIS╰⋃╯PENIS╰⋃╯PENIS
⣿⣿⣿⣿⣿⣿⣿⡿⠟⣋⣥⠾⢿⣿⡿⢛⡋⠭⠒⠊⢉⠉⡈⢉⠁⢉⣹⣿⣻⣾⣞⣾⣾⣻⠟⠿⠻⣟⣶⣶⢶⣢⡙⢮⣹⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣷⠟⣋⣴⡞⢉⡴⠖⠖⢉⠌⢀⡄⠦⠱⠉⠖⠣⠄⠀⡠⢠⣿⣞⣷⣻⣞⡷⣯⢷⠆⠀⡀⢞⠼⣳⢻⡞⣿⣳⡽⣿⣿⣿⣿⣿ ⣿⣷⣿⣫⣴⣿⠟⡡⢊⣡⠔⡠⢊⠥⠘⣢⢴⡶⢉⣉⣁⡤⠤⣊⣴⡿⣷⣻⢾⣷⣿⣻⣟⢯⡒⠀⠜⢠⠓⠬⢳⡹⢷⣛⢿⡿⣶⣟⡿⣿ ⣿⣿⣿⣿⣿⠏⠀⠀⢏⡀⠈⠴⠉⠀⣊⣭⡍⠊⠄⡿⣿⠻⣟⠿⢯⠿⣷⠻⠟⡹⢊⠃⠜⣂⢉⠒⢀⠃⠜⡠⠃⡜⢣⡝⡾⣝⡿⣾⡽⣎ ⣿⣿⣿⣿⣿⠈⣰⠀⢁⣴⠆⢀⣾⠐⠚⠋⢀⡚⠤⠑⠂⠁⠈⠈⠂⠡⢀⢃⡒⣄⠣⠜⠒⠈⡀⢠⣤⣶⣦⡁⠂⠜⠰⣈⠳⡝⣞⡷⣻⣿ ⣿⣿⣿⣿⣿⡆⠿⠀⣿⡿⠀⣾⣿⡆⠀⡈⠁⠈⢀⣶⣿⣿⠶⠆⣀⣀⣀⠀⠀⢀⡰⢶⡾⣇⠸⠈⣿⣿⣿⣿⡈⢆⠁⡆⢱⠉⡎⣷⡏⣿ ⣿⣿⣿⣿⣿⣿⣿⣾⣿⠃⢀⣿⠏⣠⣾⠟⣩⣶⣿⡿⠋⣠⣴⢿⣿⣿⣿⡇⠀⢥⢋⠷⠺⡵⠂⠁⢹⣿⣿⣿⣿⣆⠘⡄⢡⢊⠱⢲⡹⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⡚⢃⣾⡿⢋⣾⣿⡿⠋⣠⣾⠟⣡⣾⡿⣣⡞⣰⠀⠀⣶⣶⠰⣶⣇⠀⠈⣿⣿⣿⣿⣿⣆⢪⠐⡌⠢⢡⡙⢯ ⣿⣿⣿⣿⣿⣿⣿⣿⠀⢯⢁⠎⡟⢡⣿⣿⠟⢀⣾⡿⢋⣾⣿⢋⣼⡟⣰⠏⣸⡇⠹⣿⡆⠇⣿⣆⠀⣿⣿⣿⣿⣿⣿⣆⠳⣈⠅⢢⠘⠦ ⣿⣿⣿⣿⣿⣿⣿⣿⠀⠃⠌⠘⢰⣿⣿⠏⢠⡿⠋⣰⣿⡟⣱⣿⠟⢰⡏⢠⣿⣿⡀⢻⣿⠀⢸⣿⡄⢻⣿⣿⣿⣿⣿⣿⣧⠱⢪⠄⡃⠜ ⣿⣿⣿⣿⣿⣿⣿⣿⠀⠘⠀⣎⡛⣿⢏⢰⡟⠁⣴⣿⢏⣼⡿⢋⢀⡟⢀⣾⣿⣿⣷⠀⠹⣇⠈⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣷⡹⡜⡤⢃ ⣿⣿⣿⣿⣿⣿⣿⣿⠄⠁⠸⣄⠛⣔⢫⠞⠀⢀⣿⢃⢎⡟⢡⡏⣸⠁⣼⣿⣿⣿⣿⣦⠢⡘⠀⢸⣿⡀⢜⢿⣿⣿⣿⣿⣿⣿⣷⣜⠵⣣ ⣿⣿⣿⣿⣿⣿⡏⠴⠐⠀⡓⣌⠳⢌⡒⠀⠀⣼⣯⠏⠀⡐⣼⠃⠇⣰⣿⣿⣿⣿⣿⣿⣷⣌⠆⠀⣲⠂⠀⡌⣿⣿⣿⣿⣿⣿⣿⣿⣦⡑ ⣿⣿⣿⣿⣿⣿⠀⠀⡄⢨⡑⢦⡙⢦⡁⢠⢲⣿⡏⠀⣌⣾⣿⠀⠀⠻⠿⠿⠿⠿⠛⠛⠉⠉⢛⠃⢰⠃⢣⠅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣧⠁⠀⢧⡜⠃⠈⠀⠀⠀⠈⠉⠀⠈⣠⣴⣿⠀⣿⣷⣤⠄⠀⣀⠀⣦⣤⡠⠀⠀⢘⠂⠈⠆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡇⢸⣳⢞⣧⡄⠠⠠⣿⡀⠐⠀⣈⠹⣿⡏⢸⣿⣿⡏⠰⠄⠀⢀⣚⣋⡀⠊⢁⠀⡇⠈⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡇⢿⣿⣿⣾⣹⡀⠈⠿⠇⢀⡶⠆⢀⠈⠁⠹⠉⠈⢀⣶⣾⣿⣿⣿⣿⣿⣷⠀⠀⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿ ⣿⣿⣿⣿⣿⣿⣿⡆⢻⠃⣿⣷⣿⡇⢾⣷⠂⣴⣶⣿⣿⣿⡀⢠⣐⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⡇⣾⣿⣿⢿⣟⣯⣯⣷⣾⣿⣟⣿ ⣿⣿⣿⣿⣟⡿⣿⣷⠸⠀⢻⣿⣿⠁⣿⡏⢰⣿⣿⣿⣿⡿⢀⣾⣿⣿⣄⠙⢿⣿⣿⣿⣿⡿⠋⣠⢈⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣻⢿⡭⠃⠀⠘⣿⣿⠀⠙⠃⠾⠿⠿⠟⣋⡤⣿⣿⣿⣿⡿⢏⣶⣤⣤⣥⣤⡔⠈⠁⠜⣘⣛⡻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⣫⣶⣿⣜⠀⢿⣿⠄⣎⠀⣶⣿⣾⣿⣿⣷⣭⣉⢛⣉⣴⣿⣿⣿⣿⣿⢏⣴⣼⠃⢀⡿⣿⣿⣷⣦⡙⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⢏⣾⣿⣿⣿⣿⡇⠘⣿⡆⢻⠐⡬⡛⢿⡟⠛⡛⠛⠛⠫⠍⣁⡀⠀⣤⠈⢡⣾⡿⠏⢀⣴⣿⣿⣿⣿⣿⣿⣮⢻⣿⣿⣿⣿⣿ ⣿⣿⣿⡇⣾⣿⣿⣿⣿⣿⣿⡀⢹⣧⠸⢠⡌⣫⠊⠡⣰⣡⣹⣿⢸⠆⣿⡇⠀⣿⠀⠻⢉⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢻⣿⣿⣿⣿ ⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣷⡀⢻⡀⠸⣷⣌⢰⠰⡈⢇⣿⣿⢸⠐⣿⣡⣆⠿⠀⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⣿⣿⣿⣿ ⠈⠻⣿⡃⣿⣿⣿⣿⡸⣿⣿⣿⣷⡀⠣⠀⣿⣿⣶⢠⡘⢆⢻⣿⢸⠂⠷⢸⣎⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡇⣿⣿⣿⣿ ⢌⠰⢀⠐⢿⣿⣿⣿⣧⢻⣿⣿⣿⣿⣌⠂⢻⣿⡇⣸⣧⠆⠡⠹⠈⢀⣿⣌⣿⠹⠀⣿⣿⣿⣿⣿⣿⣿⡿⠏⣾⣿⣿⣿⣿⢡⣿⣿⣿⣾ ⣌⢆⢡⠂⡄⢉⠻⣿⣿⠂⣿⣿⣿⣿⣿⣧⣌⢿⠅⣸⢷⠃⠠⣀⢘⠸⣿⣟⡾⡇⢀⣿⣿⣿⣿⣿⣿⣿⠏⢸⣿⣿⣿⣿⣿⠘⢿⣿⣿⣿ ⣏⡸⢆⢱⠈⡆⠰⠈⢇⢰⣿⣿⣿⣿⣿⣿⣿⣷⠆⣱⠇⠸⢀⡇⢈⢰⣿⣾⢱⡉⢸⣿⣿⣿⣿⣿⣿⣿⡆⣸⣿⣿⣿⣿⡿⣸⢸⣿⣿⣿ ⣿⣧⣋⢦⠓⡌⠱⡈⢀⠘⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡔⠡⢾⡏⠠⢸⡿⣌⠇⡇⢸⣿⣿⣿⣿⣿⣿⣿⣷⢺⣿⣿⣿⡟⣴⣿⠘⠟⠋⡁ ⡇⢠⠈⠤⠘⠠⢓⡈⢆⠢⡀⠙⢿⣿⣿⣿⣿⣿⡄⠀⢠⡛⣬⠁⡰⢠⠳⣌⡛⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⣿⡿⠫⠞⠋⠁⡄⢂⠦⡑ ⡇⣄⡈⠒⠁⣃⢸⠜⡢⢡⠘⡠⢀⠙⢿⣿⣿⣿⠀⣐⢣⠞⡰⢃⡒⢨⡓⣬⣙⠀⣿⣿⣿⣿⣿⣿⣿⣿⡻⠇⠋⠀⢠⠒⡨⡑⣌⢣⢎⡵ ⡇⠛⠂⢛⠛⡋⢸⢧⡱⡡⢎⡐⢂⠌⡀⠻⣹⣿⡆⠨⢃⠞⡡⠣⠜⢤⠓⢦⡉⠆⢿⣿⣿⣿⣿⡿⠟⠉⡀⠤⠘⡈⢆⡡⢅⡳⣬⢳⡾⣽ ⡇⠈⠔⢂⠡⡐⢸⣏⢶⡱⢆⡜⢠⠊⡔⠁⠙⠛⠁⠘⡐⠢⢄⠥⡘⢄⡊⠔⡨⠄⠸⠿⠿⠙⠉⠀⠐⡂⢅⢊⠱⡘⣤⢹⣎⣷⢯⣿⣽⣿
ᕙ( •̀ ᗜ •́ )ᕗ ʷᵉ ᵍᵒ ᵍʸᵐ
⢸⡳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢳⣀⣽⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠳⠤⣬⣮⣓⠒⠒⢒⣒⠒⠶⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠙⠚⠲⠮⠭⣕⣲⣦⠭⣑⡒⠒⠲⠶⠦⠤⢤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⠯⣍⣶⠦⢤⣀⣀⠀⠈⠉⠙⠲⣦⣤⠤⢤⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠚⠦⢤⣉⡁⠒⠒⢂⣼⢹⣧⠀⠀⠀⠀⢉⣉⣙⡒⠶⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣶⡶⢻⠁⠸⣸⣦⣤⣤⡤⠤⣤⣬⣭⣉⣶⣶⠭⣒⡦⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⣸⡿⠙⣶⠶⠚⠉⣾⣿⣿⣷⡄⠀⠀⠀⠀⠉⠓⠿⠬⢍⣰⣬⡉⠓⠲⠤⣄⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢀⣿⣧⠀⡏⠀⣠⣾⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠑⠲⣤⣾⣿⠿⣶⠦⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⢸⣿⣿⣆⣽⣦⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠓⠿⣱⣮⣷⡠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣼⣿⣿⣿⠉⢄⠈⢿⣿⣿⣿⠟⣛⣉⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⢿⣄⡈⣇⠀⡇⣝⠀⠀⢹⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡟⠻⢿⣷⠘⢀⡏⠻⣆⡴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⣸⣿⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣿⡟⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠆⣿⡇⠃⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣫⣷⢦⠀⠀⠀⠀⡇⠀⡟⣿⠃⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⠾⢷⣤⣀⠀⡇⢰⠃⢹⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⠇⣼⣀⣸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣄⣀⣦⣽⣿⣿⣦⣧⣶⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⣿⡧⠾⠋⠉⠉⠉⠙⠓⠶⠾⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
ᕦ(ಠ‿‿ಠ)ᕥ
If you'd like to report a bug or suggest a feature, you can provide feedback here. Here's our privacy policy. Thanks!
AI Story Generator - AI Chat - AI Image Generator Free