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

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

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

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

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

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