⠄⠄⠄⠄⠄⠄⠄⠄⠄⠠⠄⠄⠄⠄⠄⠄⣠⣶⣶⣶⣴⣶⣾⣆
⠄⠄⠄⠄⣀⣠⣤⡾⡟⢠⣶⣾⣿⡑⡀⠻⠋⠉⠄⢠⣾⣿⣿⣿
⢀⣠⣶⣿⣿⣿⠟⠁⠁⠰⣋⢫⢲⡇⠛⠄⠄⢀⣠⣤⣉⠻⠿⠟
⣿⣿⣟⣋⣉⣁⠄⠄⠄⠄⠻⣆⣂⡕⠼⠂⠉⣿⣿⣗⣻⠟⠁
⠙⢿⣿⣿⣿⣿⠃⢸⢋⡁⢊⠒⣲⡶⠊⢁⣴⣿⣦⣦
⠄⠄⠙⠻⣿⡟⠄⡆⢸⣧⣾⣶⣤⣤⣾⡿⠿⡻⣻⣿
⠄⠄⠄⠄⠄⠄⠘⠠⣾⣿⣿⡿⠿⠿⣥⣾⠿⣛⢰⡿
⠄⠄⠄⠄⠄⠄⠄⠄⠸⣶⣶⣿⣟⣛⣛⣛⠲⣵⣟⢅
⠄⠄⠄⠄⠄⠄⠄⠄⠄⢹⡟⠋⣠⣤⣤⣍⡑⠿⢉⠟
⠄⠄⠄⠄⠄⠄⠄⠄⣀⠈⠙⠿⣿⣿⣿⡍⠟⢁⣠⣤⣶⣤⣄⡀
⠄⠄⠄⠄⠄⠄⢀⣾⣿⣿⣷⣦⣀⠉⠿⡇⠄⣾⣿⣿⣿⣿⣿⣿⣶⡀
⠄⠄⠄⠄⠄⢠⣾⣿⣿⣿⣿⣿⣿⣷⡄⠹⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄
⠄⠄⠄⠄⠄⣾⣿⣿⣿⣿⣿⣿⣿⡿⠋⠄⠄⠈⠙⠿⢿⣿⣿⣿⣿⣿⡇

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

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

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

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

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