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

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

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

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

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

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