⣠⣤⡤⠤⠶⠶⠶⠾⠿⠛⠛⠛⠻⠿⠶⠶⠦⣤⣤⣀⠀⠀⠀⠀⠀⠀ ⠲⢟⣛⣭⣭⣶⠶⠿⠿⠿⠟⢛⣛⣛⣛⣛⣛⡛⠻⠿⠿⠶⣮⣝⡻⠶⣄⠀⠀⠀ ⠘⣛⣫⣭⣴⠶⠿⠛⠛⠋⠉⠉⠉⠉⠉⠉⢉⣭⡿⠿⢿⣷⣶⣭⣛⠳⡏⠀⠀⠀ ⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⣛⣥⡶⢟⣛⣻⣿⡿⠿⠿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⣋⣵⠾⣛⣥⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⢟⣥⡟⣫⡼⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⢏⣵⡿⣫⡾⢋⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⡟⣵⡿⣫⣾⡿⣛⣛⣩⣭⣭⣥⣭⣿⣿⣿⣭⣤⣭⣭⣙⡛⠷⣦⣄⡀ ⠀⠀⠺⣫⡾⢫⣴⣿⠿⣛⣛⣩⣭⣥⣴⡶⠶⠶⠶⠶⠶⢶⣦⣭⣭⣛⡻⠂⠈⠀ ⠀⠀⠀⠈⢰⠿⠟⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠳

⣠⣤⡤⠤⠶⠶⠶⠾⠿⠛⠛⠛⠻⠿⠶⠶⠦⣤⣤⣀⠀⠀⠀⠀⠀⠀ ⠲⢟⣛⣭⣭⣶⠶⠿⠿⠿⠟⢛⣛⣛⣛⣛⣛⡛⠻⠿⠿⠶⣮⣝⡻⠶⣄⠀⠀⠀ ⠘⣛⣫⣭⣴⠶⠿⠛⠛⠋⠉⠉⠉⠉⠉⠉⢉⣭⡿⠿⢿⣷⣶⣭⣛⠳⡏⠀⠀⠀ ⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⣛⣥⡶⢟⣛⣻⣿⡿⠿⠿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⣋⣵⠾⣛⣥⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⢟⣥⡟⣫⡼⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⢏⣵⡿⣫⡾⢋⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⡟⣵⡿⣫⣾⡿⣛⣛⣩⣭⣭⣥⣭⣿⣿⣿⣭⣤⣭⣭⣙⡛⠷⣦⣄⡀ ⠀⠀⠺⣫⡾⢫⣴⣿⠿⣛⣛⣩⣭⣥⣴⡶⠶⠶⠶⠶⠶⢶⣦⣭⣭⣛⡻⠂⠈⠀ ⠀⠀⠀⠈⢰⠿⠟⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠳

⣠⣤⡤⠤⠶⠶⠶⠾⠿⠛⠛⠛⠻⠿⠶⠶⠦⣤⣤⣀⠀⠀⠀⠀⠀⠀ ⠲⢟⣛⣭⣭⣶⠶⠿⠿⠿⠟⢛⣛⣛⣛⣛⣛⡛⠻⠿⠿⠶⣮⣝⡻⠶⣄⠀⠀⠀ ⠘⣛⣫⣭⣴⠶⠿⠛⠛⠋⠉⠉⠉⠉⠉⠉⢉⣭⡿⠿⢿⣷⣶⣭⣛⠳⡏⠀⠀⠀ ⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⣛⣥⡶⢟⣛⣻⣿⡿⠿⠿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⣋⣵⠾⣛⣥⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⢟⣥⡟⣫⡼⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⢏⣵⡿⣫⡾⢋⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⡟⣵⡿⣫⣾⡿⣛⣛⣩⣭⣭⣥⣭⣿⣿⣿⣭⣤⣭⣭⣙⡛⠷⣦⣄⡀ ⠀⠀⠺⣫⡾⢫⣴⣿⠿⣛⣛⣩⣭⣥⣴⡶⠶⠶⠶⠶⠶⢶⣦⣭⣭⣛⡻⠂⠈⠀ ⠀⠀⠀⠈⢰⠿⠟⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠳

⣠⣤⡤⠤⠶⠶⠶⠾⠿⠛⠛⠛⠻⠿⠶⠶⠦⣤⣤⣀⠀⠀⠀⠀⠀⠀ ⠲⢟⣛⣭⣭⣶⠶⠿⠿⠿⠟⢛⣛⣛⣛⣛⣛⡛⠻⠿⠿⠶⣮⣝⡻⠶⣄⠀⠀⠀ ⠘⣛⣫⣭⣴⠶⠿⠛⠛⠋⠉⠉⠉⠉⠉⠉⢉⣭⡿⠿⢿⣷⣶⣭⣛⠳⡏⠀⠀⠀ ⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⣛⣥⡶⢟⣛⣻⣿⡿⠿⠿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⣋⣵⠾⣛⣥⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⢟⣥⡟⣫⡼⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⢏⣵⡿⣫⡾⢋⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⡟⣵⡿⣫⣾⡿⣛⣛⣩⣭⣭⣥⣭⣿⣿⣿⣭⣤⣭⣭⣙⡛⠷⣦⣄⡀ ⠀⠀⠺⣫⡾⢫⣴⣿⠿⣛⣛⣩⣭⣥⣴⡶⠶⠶⠶⠶⠶⢶⣦⣭⣭⣛⡻⠂⠈⠀ ⠀⠀⠀⠈⢰⠿⠟⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠳

⣠⣤⡤⠤⠶⠶⠶⠾⠿⠛⠛⠛⠻⠿⠶⠶⠦⣤⣤⣀⠀⠀⠀⠀⠀⠀ ⠲⢟⣛⣭⣭⣶⠶⠿⠿⠿⠟⢛⣛⣛⣛⣛⣛⡛⠻⠿⠿⠶⣮⣝⡻⠶⣄⠀⠀⠀ ⠘⣛⣫⣭⣴⠶⠿⠛⠛⠋⠉⠉⠉⠉⠉⠉⢉⣭⡿⠿⢿⣷⣶⣭⣛⠳⡏⠀⠀⠀ ⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⣛⣥⡶⢟⣛⣻⣿⡿⠿⠿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⣋⣵⠾⣛⣥⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⢟⣥⡟⣫⡼⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⢏⣵⡿⣫⡾⢋⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⡟⣵⡿⣫⣾⡿⣛⣛⣩⣭⣭⣥⣭⣿⣿⣿⣭⣤⣭⣭⣙⡛⠷⣦⣄⡀ ⠀⠀⠺⣫⡾⢫⣴⣿⠿⣛⣛⣩⣭⣥⣴⡶⠶⠶⠶⠶⠶⢶⣦⣭⣭⣛⡻⠂⠈⠀ ⠀⠀⠀⠈⢰⠿⠟⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠳

⣠⣤⡤⠤⠶⠶⠶⠾⠿⠛⠛⠛⠻⠿⠶⠶⠦⣤⣤⣀⠀⠀⠀⠀⠀⠀ ⠲⢟⣛⣭⣭⣶⠶⠿⠿⠿⠟⢛⣛⣛⣛⣛⣛⡛⠻⠿⠿⠶⣮⣝⡻⠶⣄⠀⠀⠀ ⠘⣛⣫⣭⣴⠶⠿⠛⠛⠋⠉⠉⠉⠉⠉⠉⢉⣭⡿⠿⢿⣷⣶⣭⣛⠳⡏⠀⠀⠀ ⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⣛⣥⡶⢟⣛⣻⣿⡿⠿⠿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⣋⣵⠾⣛⣥⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⢟⣥⡟⣫⡼⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⢏⣵⡿⣫⡾⢋⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⡟⣵⡿⣫⣾⡿⣛⣛⣩⣭⣭⣥⣭⣿⣿⣿⣭⣤⣭⣭⣙⡛⠷⣦⣄⡀ ⠀⠀⠺⣫⡾⢫⣴⣿⠿⣛⣛⣩⣭⣥⣴⡶⠶⠶⠶⠶⠶⢶⣦⣭⣭⣛⡻⠂⠈⠀ ⠀⠀⠀⠈⢰⠿⠟⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠳