Paimon Dot Art

⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠚⡲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣧⣀⡶⣦⠘⣽⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠤⠟⢛⣿⠉⣾⢭⣀⡉⣳⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡰⠋⣁⡴⠛⠉⢹⣟⣻⠀⣴⠶⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡼⠁⣞⢁⡠⠔⠒⠉⠉⠉⠉⠙⠲⡤⣀⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⠈⢉⠟⠉⠀⠀⠀⠀⠀⠀⠀⡀⠀⠘⣦⣉⠩⡇⠀⠀⡀ ⠀⠀⠀⣠⠃⠀⠀⠀⢀⣠⡀⠀⠀⠀⠸⡢⡠⢿⣿⡇⠀⠈⡹⠁ ⢠⡒⠋⠁⠀⡀⠀⠀⢀⠇⡵⣖⠀⠀⡀⢇⠉⠢⡉⢳⠀⢏⠁⠀ ⠀⠉⢒⠖⢠⠀⠀⠀⡟⠀⣀⣈⠑⠢⠽⠝⢀⣶⣜⡄⠀⠈⡆⠀ ⠀⢀⡏⠀⡄⠀⠀⠈⡇⠀⠿⠿⠃⡀⠀⡀⡀⠙⠉⠸⡄⠀⢸⠀ ⠀⢸⠁⠀⡇⠀⠀⠀⢹⠀⠀⠜⠀⠈⠉⠀⠀⠀⠀⣠⠇⠀⠈⡆ ⠀⢸⡄⠀⡇⠀⠀⠀⠘⣦⣀⣠⣤⣤⡴⠶⣶⣶⡿⣿⠁⡀⠀⡇ ⠀⠀⢳⡄⢳⡀⠀⢠⠀⠹⣿⡾⠘⠖⠱⣶⣴⡆⣹⣧⣾⠃⣸⠃ ⠀⠀⠀⠉⠳⠿⠶⣬⣿⣶⣾⣿⣦⣓⠘⢋⣛⣧⡴⠻⡃⠒⠁⠀ ⠀⠀⠀⠀⢀⣠⡾⠿⣿⣄⣤⢹⡎⠉⠉⠍⠉⠁⠠⠀⢱⡀⠀⠀

⣾⣿⡟⣼⣿⣧⣐⣦⡈⢻⣿⣿⠸⣿⣿⡿⠛⠉⢀⡤⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⣤⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⣿⠘⢃⣿⣿⣿⣿⣷⣍⠀⠉⢻⡾⠟⠉⠀⠀⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠀⢸⣿⣿⣿⣿⣿⣿⣿⡶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿⣿⣿ ⠁⢀⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢰⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿ ⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣆⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣹⣿⣿⣿⣿ ⣻⣿⠟⠁⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡞⠁⠀⠘⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠈⢧⡀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⣿⣿⣿⣿ ⠛⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠘⢧⡀⠀⢠⡀⠀⠀⠀⠀⠘⡆⠈⢣⡀⠀⠀⠰⡄⠀⠈⢿⣟⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿ ⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⣀⣀⣳⣄⠀⠱⡀⠀⠀⠀⠀⣇⠀⠀⢳⡄⠀⠀⢳⠀⠀⠈⢿⣾⣿⣿⣿⡿⣹⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢠⠏⣀⣤⠴⠒⠚⠛⠉⠉⠉⠉⢳⣄⠳⡄⠀⠀⠀⢹⠀⠒⠲⢷⡄⠀⠘⡆⠀⠀⠈⣿⣿⣿⠋⣴⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣀⡟⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢿⣦⡀⠀⠈⣧⠀⠀⠀⠙⣆⠀⣷⠀⠀⠀⢸⡟⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠤⡀⠀⠀⠀⠈⠛⠦⣄⣘⣆⠀⠀⠀⠈⡧⣿⠀⠀⠀⠈⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏ ⣷⣾⣿⣿⡏⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⠿⠇⠀⠀⠀⠀⠀⠀⢀⣶⣶⣶⣶⣶⣤⣇⢿⠀⠀⠀⠀⢧⡀⠀⢀⣾⡿⠿⠿⠿⠛⠋⠀ ⣿⣿⣿⡿⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠉⢻⡭⠔⢿⣿⣿⣄⣽⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣉⣿⣿⢻⠇⠘⣆⠀⠀⠀⠈⢳⣠⠞⢉⣠⣴⣶⣶⣶⣾⣶ ⣽⣿⣿⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠙⠦⣌⢿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⠇⣩⠀⠀⠘⣆⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⠀⠀⠀⠈⢧⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿ ⣻⡞⠀⠀⠀⣄⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠳⡀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿ ⣿⠁⠀⠀⠀⣿⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⣿⠒⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠈⢯⡻⣿⣿⣭⣍ ⡇⠀⠀⠀⢸⡏⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣼⡄⠀⠈⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠈⢣⡀⠙⢿⣟ ⠃⠀⠀⠀⣾⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣧⣀⠀⢀⣤⣿⣿⣷⣶⣤⣤⣤⣄⣀⡀⠀⢀⣀⣤⠶⠚⣏⠁⠀⠀⠀⠀⠀⠀⣀⣴⡄⠀⠀⠸⣇⠀⠀⠀⠀⠀⠹⡄⠀⠈ ⠀⠀⠀⠀⣿⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⢿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣽⡃⠀⠀⠀⢀⡴⠛⠁⠀⠹⣄⠀⠀⠈⠳⡦⢄⣀⣀⣀⣿⣦⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⠹⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⢀⡴⠋⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⢹⡀⠀⠀⠀⠀⠈⠓ ⡇⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠙⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠉⠛⠻⢿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀ ⢧⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠘⣿⣦⣤⣀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⢳⠀⠀⠀⠀⠀⠀ ⠈⢳⡀⠀⠀⠀⠈⠳⠦⣄⡠⠤⠶⢒⣿⣿⠟⠈⠉⠓⠒⠒⠒⠶⠶⠶⢆⣲⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⢦⣄⡀⠀⠀⠀⠀⠀⠈⢳⡲⠾⣤⣀⠀⠀⠀⠀ ⠀⠀⠙⢦⣀⡀⠀⠀⠀⠀⣀⣀⣴⣋⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢶⡄⠉⠉⠙⢿⡟⠛⠳⠾⠿⣦⣀⠀⢀⣠⢶⣚⣩⣵⡶⠟⠋⠉⠓⠶⣤⣀⡀⠀⠀⢳⡄⠀⢹⣿⡀⠀⠀ ⠀⠀⠀⠾⢷⡈⠙⠛⢟⣯⣭⣇⠈⣇⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⠛⢛⡋⣉⡽⠛⠉⠀⠀⠀⢀⣀⡄⢦⣈⠙⠳⠦⣼⡿⠤⢬⣧⡙⣤⡄ ⠀⠀⠀⠀⠈⠛⠃⠀⠻⡿⣼⣿⣀⣿⡀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣠⣴⠊⣽⢧⡈⠑⠿⠚⠉⠀⢠⣤⡀⠰⡊⠉⢠⠃⠀⠈⠓⣄⡀⠈⢷⡀⠀⠈⠙⠚⠧ ⠀⠀⠀⠀⠀⠀⠀⠈⠋⠁⠲⣿⣿⠈⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣠⠞⠉⠀⠀⠈⠙⠛⠒⠒⠒⠒⠲⠶⠶⠤⠈⠀⠀⠉⠀⠀⠀⠀⠈⠙⢦⡈⢿⣤⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢉⣿⣿⣏⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⢀⣴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⢻⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⠀⠀⠀⠤⣄⣀⠀⠀⣀⡴⢃⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⠉⠉⣁⡤⠛⠋⢝⡲⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠆⠀

⣿⣿⣿⣿⠟⠉⣀⣤⣶⣿⣫⣿⡐⣷⣾⣿⣯⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣷⣿⣽⣶⣭⣿⣿⠿⣦⣸⠛⠉⠛⠙⠛⠛⠿⠿⠿⠛⠛⠉⢠⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠹⠗⠀⠀⠀⠀⢦⣄⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣲⣶⠂⠀⠀⠈⠉⠛⠙ ⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢀⠴⠛⠟⠿⢿⡄⠀⠀⠀⠀⠀⠀ ⣿⢯⣿⠏⡄⠃⠀⠀⠀⢠⣗⠀⠀⠀⠀⠀⠀⣻⡀⠀⢠⡀⠀⠙⠢⠀⠀⠀⠀⣴ ⣿⠟⡡⠘⡄⡃⠀⠀⡀⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣦⡀⢳⠀⠀⠀⠀⠀⠀⠀⡜ ⠁⢆⠡⢃⠔⣃⠀⢸⢸⣿⣿⣧⣀⠀⠀⠀⢘⣿⣿⣿⣿⣮⡇⠀⠀⠀⠀⠀⠀⡜ ⣯⣤⠃⡌⢢⢱⠀⢼⣿⣿⣿⣿⣎⠲⢄⡀⢸⣿⣿⠋⠙⢻⣿⠀⠀⠀⢦⠀⡜⡜ ⣿⣿⠡⡘⢄⠊⢧⣾⣿⡿⠛⠻⣿⣧⡆⡩⢸⣿⣿⣄⣀⣼⣿⠂⠀⢀⡼⣧⠹⣜ ⣿⣿⢂⠱⡈⠜⡨⢼⣿⣧⡀⢀⣿⣿⣿⣷⣼⣿⣻⣿⢻⡟⢿⡇⡴⢋⡖⣿⡱⢺ ⣿⣿⣆⢡⠱⡘⠰⣘⣿⡟⣿⠿⣿⡹⢞⢣⣏⠵⢫⠇⠃⠘⡀⣏⠖⣭⢚⣼⣗⣻ ⣿⣿⣧⢧⡆⢡⠃⢤⢻⡘⠁⠃⠄⠛⠫⠥⠴⠒⠁⠀⠀⣀⣴⡏⡞⡴⢫⣼⣟⣾ ⣿⣿⣿⢮⠽⣦⡉⢆⡘⢿⡶⣤⣄⣀⣀⣀⣀⣀⣤⣴⣾⣿⣿⢧⡹⡜⢣⣿⢞⣹ ⣿⣿⣿⣯⡻⣽⣿⣤⡚⢌⠻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢢⣳⣭⠿⢛⣋⡍

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡄⠀⠀⠀⠀⠀⠀⠀⣠⡶⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣶⠊⠁⠀⠙⣦⡀⠀⠀⢀⡴⠚⠁⠀⠀⣨⠗⣢⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡿⠟⠂⠹⣌⢷⡀⠀⠀⠈⠳⣄⡴⠋⠀⠀⠀⣠⠞⢡⠞⠁⠀⠈⠁⠉⠙⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⠋⠁⠀⠀⣀⣀⣈⡇⠙⢦⠀⠀⠀⠀⠀⠀⢀⣤⣾⣁⣐⣛⠦⠤⠤⢤⣀⣀⠀⠀⠈⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣠⠴⢾⣉⡉⣁⡤⠔⠚⠛⠳⣄⠀⠀⣠⣾⠟⠁⠀⠀⠀⠉⠉⠓⠦⢄⡀⠉⠙⣳⠆⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⣲⠞⠋⠁⠀⠀⠀⠀⠀⠈⠓⠶⠛⠁⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠈⠑⢿⣷⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⢠⠟⢦⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇⣠⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣸⡆⠈⢇⠀⠀⠀⡀⠀⠀⠀⢹⡀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡁⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⣰⠋⢸⡇⠀⢸⠀⠀⠀⠀⠀⠀⢸⠀⢀⡟⣇⠀⠘⣆⠀⠀⣷⣄⠀⠀⠀⢣⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠃⢀⡇⠀⠀⠀⠀⠀⠀⠀⣠⢇⡴⣃⣀⣸⣇⣀⢸⠀⠀⠀⠀⠀⢠⡇⠀⡼⠀⠘⢦⠀⠘⡄⢠⣿⣏⣳⣤⡄⠸⡆⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⣼⠀⠀⠀⠀⠀⠀⠀⢰⣿⠞⠉⠉⠁⢸⡇⢉⣿⠀⠀⠀⠀⢀⡎⢀⡿⠋⠉⠓⠚⠳⣤⣽⠿⣿⣿⣿⡏⠀⠀⢻⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⢠⠇⠀⠀⠀⠀⠀⡀⢠⡟⠁⢀⣠⣴⣖⠲⣷⠟⢻⠀⠀⠀⢠⡟⣠⠞⢀⣤⠤⣶⣤⡀⠙⣦⣤⠀⢙⣿⡇⠀⠀⠈⡆⠀⠀⠀⠙⠲⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⡇⡞⢀⣤⣷⣿⣿⣿⣿⣷⣄⢸⠀⠀⣠⣿⠞⠁⢀⣴⣾⣿⣿⣿⣷⣦⣈⠻⡇⢠⠈⠁⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠙⠲⣤⣀ ⣤⣤⠴⠛⠁⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⡇⣷⣾⠟⢋⣿⣿⣿⣿⣏⠉⢸⣠⠾⠋⠀⠀⠀⠈⢻⣿⣿⣿⣿⣏⠙⢿⣿⡇⢸⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⣀⡴⠋ ⠀⠙⠲⠤⣄⣀⣀⣲⡾⣻⠃⠀⠀⠀⠀⠀⠀⣧⡏⠁⠀⢸⣿⣯⣬⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣤⣿⣿⠀⠀⠉⡇⢸⠀⠀⠀⠀⠀⠀⢿⢗⣂⣀⡠⠴⠚⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡟⠁⡏⠀⠀⠀⠀⠀⠀⠀⣷⣷⠀⠀⠎⣿⣿⣩⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣯⣨⣿⡧⠄⠀⢠⣿⢸⠀⠀⠀⠀⠀⠀⢸⠀⠈⢧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⠖⠋⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⢿⠻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢀⣾⣿⢸⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⢳⡀⠀⠀⠀⠀ ⠀⠀⠀⠉⠉⣹⠋⢙⡟⠄⠀⠀⠀⠀⠀⠀⠀⢸⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⣏⡏⡇⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠻⡀⠀⠀⠀ ⠀⠀⠀⠀⢠⠇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⣿⢁⡇⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⢷⠀⠀⠀ ⠀⠀⠀⠀⢸⡀⠀⣼⠀⠀⠀⠀⠀⠀⠀⢰⠀⠈⣇⠀⠀⠙⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⠁⠀⢀⡇⢸⠀⠀⠀⠀⠀⠀⠀⢸⠸⡀⠀⢀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⣧⡀⡇⠀⠀⠀⠀⠀⠀⠀⢸⠀⡆⢸⡆⢀⣶⣿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⢀⣠⡤⣶⣾⣿⣷⣶⣄⢀⡜⢀⡟⠀⠀⠀⡇⠀⠀⠀⢸⠀⡇⠀⢘⡞⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢿⠇⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⠀⢳⣿⣿⣿⣷⣌⠉⠹⠷⣾⣿⣷⣖⣒⣋⣉⣴⡾⠿⡟⢿⣿⣿⣿⡾⠁⡼⠁⠀⠀⢀⡇⠀⠀⠀⣟⠀⣇⣠⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠰⠀⠀⠀⠀⠀⠀⡇⠀⠈⡇⠈⣿⣿⣿⣿⣿⡆⠀⠀⣳⡄⡀⠐⢛⢋⠉⠁⠀⠀⠀⢈⣿⣿⠟⢀⡴⠁⠀⠀⠀⣼⡇⠀⠀⢀⣿⣤⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡆⠀⡇⠀⠀⠀⠀⠀⣿⠀⠀⢹⡄⠈⢿⣿⣿⣿⣿⣄⠀⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣛⣡⣴⡟⠁⠀⠀⠀⢰⠃⡇⠀⢀⡾⠊⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢧⠀⢳⠀⠀⠀⠀⠀⢿⠀⠀⠈⢿⣦⣈⣛⣿⣿⣿⣿⡄⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⢭⣿⡿⠁⠀⠀⣀⡴⣻⢰⣃⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣧⠈⢧⠀⠀⠀⠀⠸⡄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⣈⣦⣄⣄⣠⣤⣴⣦⣄⣴⣿⣥⡶⠒⠋⠉⣠⣧⠞⠉⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣶⣿⣿⣷⡜⣏⢀⠀⠀⠀⢧⠀⠀⠀⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣫⣿⣿⠿⠟⠉⠀⠀⠀⠀⠀⢀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣦⣄⣀⣀⣘⣇⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠀⠀⠀⠀⣀⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠿⣿⣿⣿⣟⣿⣿⣿⣿⣶⣤⣽⣿⣿⣏⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣠⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⡿⣻⣷⣖⡙⢧⠟⠉⠔⠈⠀⠀⠀⠀⠀⠀⠀⠀⠁⠲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢃⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⡀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿ ⠟⠋⠀⠀⠄⠀⠀⠀⠀⠀⠀⡔⠁⠣⠀⠀⠀⠀⠏⢆⠀⠈⠙⣿⢿⣿⣿⣿⣿⣿ ⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⡌⣀⠠⠤⠵⢌⢆⠀⢰⠀⢂⠈⡀⠘⣾⡿⣿⣿⣿⣿ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⢀⡀⠙⠣⢄⢂⠀⢡⡇⠀⠻⣾⣿⣿⣿⡿ ⣿⡟⠀⠁⠀⠀⠀⠀⠀⡗⢾⠿⣿⣹⡿⠁⠀⠀⠐⣿⣿⠻⠡⠀⠘⢤⣚⣭⣭⣤ ⣿⠁⢠⠀⠀⠀⠀⠀⠠⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠈⠉⢀⠀⠱⡀⠈⠻⣿⣿⣿ ⡇⠀⡜⡆⠀⠀⠀⠈⢆⡒⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠐⡄⠀⠫⠻⣯ ⠀⠀⡇⠰⡀⠀⠀⠀⠀⠷⣤⣾⣷⣶⣶⣤⣤⣴⣆⡇⠀⢀⠤⠢⠀⠣⣀⡀⢱⡈ ⡀⠀⡇⠀⠐⠠⡀⠀⠀⠀⠠⣤⣿⣿⣿⣿⡟⠛⠿⣿⡖⠁⠀⠀⠑⡀⠸⠀⠀⠈ ⠣⡀⠈⠢⠀⠤⣼⠗⠒⠀⠠⠬⠽⣿⣿⣿⣧⠀⠀⠀⣑⢠⣀⡀⠀⠐⡤⢄⡀⠀ ⠀⠘⢔⢒⣶⡏⡿⡄⠀⠀⠀⠀⠑⠀⠈⠀⣈⡵⣒⡻⠛⠉⡀⠬⠥⡂⢼⠤⠗⣄ ⠀⠀⠀⠐⠙⠿⣱⡀⠀⠀⠀⠀⠰⢀⠔⠈⠈⠓⠒⠒⠒⠂⠀⠀⠀⠈⠢⡳⡄⠀ ⠀⠀⠀⢀⣠⣾⣿⡇⠀⠂⠠⢐⠵⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠔⠢⡀⠀⡠⠒⢐⢄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠋⣉⡘⠕⣄⠈⠈⣀⠔⠑⡥⠤⢀⡉⢢⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⡛⠗⠈⠁⠈⢂⠘⠁⠀⡀⠀⠁⠒⢞⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠊⠀⠀⠀⠀⢀⠃⠀⠀⠀⠘⡀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⠁⠀⠀⠀⠀⠠⡚⠀⠀⠀⠀⡀⡣⡀⠀⠀⠑⡀⢂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡃⡀⠀⠀⠀⡰⡱⠁⢠⠀⠀⢀⠁⢗⠐⡀⢆⠀⠠⠀⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⢠⠀⠀⠀⢰⠝⠒⢒⣺⠀⠀⠌⠞⠂⠣⡵⢿⣿⠀⠆⠘⢄⠀⠀⠀ ⠀⢀⡠⠊⠀⡄⠀⠀⠀⣡⣾⣿⡾⢸⢀⠼⠊⣼⣿⡷⣜⡆⠙⠀⠰⠀⠀⠁⠢⡀ ⠈⠑⠠⢴⢾⠀⠀⠀⢰⠉⣸⡯⡿⠈⠁⠀⠀⢸⡯⣿⠈⡅⠀⠀⠀⡖⠤⠐⠈⠀ ⠀⠀⠴⠥⡌⠀⠀⠀⢸⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢳⡀⠀⠀⠁⠈⢆⠀⠀ ⠀⠀⢸⢀⠃⠀⠀⠀⠘⠈⠢⣀⠀⠀⠀⠀⠀⠀⢀⡠⠁⡎⠃⠀⠀⢸⡄⠈⠀⠀ ⠀⠀⠈⢾⠀⠀⠀⠰⢠⢣⣿⣟⠛⠶⠦⣄⣲⠾⠿⣿⡖⡘⠀⢸⠀⢸⢀⠜⠀⠀ ⠀⠀⠀⢸⠰⠀⠀⢰⠈⣌⢻⣿⣧⠈⠀⠀⠀⠀⢰⣯⡔⠀⢀⠛⢀⠞⠁⠀⠀⠀ ⠀⠀⠀⣀⣦⢆⠀⠘⡀⢸⣿⣿⣿⣶⣤⣤⣤⣴⣦⡿⠖⠂⠹⠊⠣⠀⠀⠀⠀⠀ ⠀⠀⠀⠛⠿⢿⣶⣤⣧⣄⣿⣿⣿⡟⠉⠉⠉⠉⠀⠀⠀⠀⠀⢀⡠⠚⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⠀⡄⣉⠡⣉⢩⡙⣒⠢⠦⠶⠴⢦⠤⢄⣀⠀⠀⠀⠀⠀⠀ ⠀⡄⡐⢢⠉⡆⠱⡐⣌⠱⣈⢦⡱⣌⢧⡹⡜⣓⢮⡱⣍⢫⠳⣄⠀⠀⠀⠀ ⠣⠜⡨⢅⠚⡤⢣⠱⣌⡳⣍⡶⣳⡽⣶⢯⣽⡽⣮⢷⡽⣧⣛⠬⣧⡀⠀⠀ ⡑⣊⠵⣈⠞⡰⣍⠳⣌⡳⢯⣷⢯⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣟⡶⣳⡄⠀ ⡜⡤⢳⡘⢮⡱⢎⡳⢭⣞⡱⣎⡛⡽⢩⢏⡝⣩⠭⢭⡩⣍⢭⢻⣷⣏⣾⠀ ⢮⣱⢣⡝⢦⣙⢧⡛⠶⣬⢳⡝⣾⡱⣏⡾⣼⢧⣟⡶⣳⡽⣮⣷⣿⠞⠁⠀ ⣳⢎⡷⣚⡧⣏⣾⣹⣻⣼⣯⣿⣳⣿⣽⣿⣽⣿⣾⣿⣷⣿⣋⢿⣅⣀⣠⡀ ⣯⣟⣳⢯⣷⣻⣞⣷⣿⣿⣿⣿⣿⣿⠿⠛⠋⢹⡳⣄⢿⣿⣿⡀⠀⢀⣼⠃ ⣿⣾⣿⣿⣾⣿⣿⡿⠟⠛⢻⡏⢹⢶⣂⠀⢀⡄⣷⠉⠳⣌⠙⣧⠘⣿⠀⠀ ⠿⠛⠉⢻⣵⠃⡼⠁⠀⠀⣿⠁⢀⣬⡙⠳⠦⣽⡿⠃⣴⣯⣷⡀⠀⠘⣷⠀ ⠀⠀⠀⣾⠃⢠⡇⠐⠀⠸⢿⠀⢿⣿⡿⢀⠀⠀⠀⢀⡛⠟⠋⣷⡀⠀⢹⡇ ⠀⠀⠠⣿⠀⢸⠄⢈⠀⠠⢸⡆⢄⣨⠄⠈⠓⠚⠋⠉⠀⠈⠀⣨⡇⠀⠈⣿ ⠀⠀⠀⣿⠀⢸⡄⠠⠀⠀⠘⣧⠀⠀⣀⣀⣀⣠⣤⣤⣤⣤⣶⣿⠇⢀⠀⣿ ⠀⠀⠀⢻⣄⠘⣧⠀⠐⢈⠀⠹⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⢟⣠⣏⠀⣿ ⠀⠀⠀⠀⠻⢦⣜⣷⣤⣈⣷⣤⣘⣻⣿⣯⣿⣾⣿⣿⣿⣿⣿⣿⣟⣁⡼⠟

⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⢿⣶⣤⢠⣴⣦⣽⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣶⣶⣾⠿⢛⠉⠛⠿⢿⣯⠁⣹⣶⣶⣦⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⢋⣡⣼⣿⣿⠃⣼⡏⢴⣿⡇⢺⣿⢀⣿⣇⣀⢀⠉⡉⠛⠛⠿⣷⣦⣤⡀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣾⣿⣿⡿⣿⡟⣼⣿⠁⣾⣿⡇⣼⣿⣦⣉⣻⣛⠿⡷⣷⣮⣔⣢⣀⠈⡙⠛⢷⣦⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣽⣿⣿⢿⡾⢿⡏⢼⡟⠙⣿⣾⣯⠉⠛⠛⠛⠿⢿⣶⣦⣍⣹⣿⣿⣶⣧⣄⣹⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⠿⠛⠁⠀⠀⣠⣿⣉⣾⣇⡀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣷⣯⣾⡿⠟⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⠟⠋⠀⠀⠀⠀⠀⠀⠘⣿⣷⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣦⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣶⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠋⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣦ ⠀⠀⠀⠀⠀⠀⣴⣿⠏⠀⠀⠀⠀⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠹ ⠀⠀⠀⢀⣀⣾⡟⠁⠀⠀⠀⠀⣴⠟⣹⡀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠓⡄ ⢠⣶⣾⡿⠟⠋⠀⠀⠀⠀⢀⣾⠋⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠙⢷⣀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⢀⣿⣇⠀⠀⠀⠀⠈⢆ ⠀⠻⣿⣦⣔⠶⠀⠀⠀⣰⣿⣁⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⢙⣦⣀⠤⠄⠒⠈⠁⠀⢠⠀⢠⣴⣿⣿⣏⡶⣤⡀⠀⠀⣃ ⣤⡿⠻⡿⠿⣦⣄⣀⣼⣟⡀⣙⣳⢦⣤⣠⣽⣆⠀⠀⠀⠀⠀⣾⣧⡴⠶⣟⣛⣉⡹⢦⡀⠀⠀⠀⠀⢲⠀⠀⠉⢻⣿⣿⣿⠃⠁⠀⠀⠤ ⣿⠏⣠⠴⣤⣤⣌⠻⣧⣿⣿⠿⣿⣿⢷⣄⠀⠹⣦⠀⠀⠀⣸⡏⢀⣼⠿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⣍⠂⠀⠀⠈⢿⣿⡇⠘⡄⠀⢀⠣ ⣿⣎⠱⢎⡴⢂⡎⣷⣾⣻⣿⣾⡿⠿⣿⣦⠀⠀⠘⢷⡄⠀⣿⠀⠀⢠⣾⣿⠿⢿⣷⣮⠙⣿⣿⣷⣤⣆⠃⠀⠀⠀⠘⣿⠃⠀⢇⠀⢌⠂ ⣿⣆⢻⣶⣾⣵⡌⣿⣭⣭⠻⣿⣅⣠⣿⣿⠇⠀⠀⠀⠙⢾⠇⠀⠀⢾⣿⣷⣀⣸⣿⣿⡷⠀⢿⣿⣿⡿⣆⠀⠀⠀⠀⠻⠀⠀⢪⠘⡄⢃ ⣿⣧⣿⣏⢿⣹⣿⣿⢳⣞⡻⣜⡻⣿⡛⠉⠀⢀⠀⢀⠀⠀⠀⠀⠀⠈⠛⠛⠿⢿⣿⣿⡿⠀⢸⣿⣿⣷⣏⠀⠀⠀⠀⠀⠀⡀⢸⡐⢌⠂ ⣿⡟⢿⣾⡹⣞⢿⣣⣟⡾⣹⣝⣻⢮⣟⠷⣦⣀⠀⠀⠀⠀⠀⠁⠀⠂⠤⢀⠂⠄⡠⢉⠑⡚⠋⠍⡡⣼⡧⠀⠀⠀⠀⠀⠀⡐⠀⡇⢌⢂ ⣿⠀⠈⢿⣿⡝⣾⢳⣮⠽⣧⣻⢼⣏⡾⣻⢾⣽⣛⢷⣦⣴⡶⢶⣄⠀⠐⠀⠌⡐⠄⠢⢁⠆⢩⠐⡁⢻⡇⠀⠀⠀⠀⠀⠀⠥⠀⢏⡐⢂ ⡏⠀⠀⢦⣿⣿⡞⣽⣚⣯⠷⣽⣚⡾⣵⢻⢮⣳⢯⣟⣮⣝⡿⣶⠛⣷⡀⠐⠀⠠⠀⠂⠄⠈⠄⠂⠐⣿⠃⠀⠀⠀⠀⠀⡸⢁⠂⢼⡀⢃ ⠁⠀⠀⠈⣿⡝⢿⣧⣻⢼⣛⡶⣏⡷⣝⣯⢳⣏⡾⣎⡷⣫⢷⣽⢿⡜⣷⡀⠀⠐⠀⠀⠀⠂⠀⠂⣸⡿⠀⠀⠀⠀⠀⢠⠑⡌⠂⢸⠆⡡ ⠀⠀⠀⠀⢻⣿⡌⠻⣿⣮⢷⣹⢾⣹⠾⣼⢏⡾⣵⢏⡷⣏⣯⢟⡾⣿⠸⣷⠀⠀⠀⠀⠀⢀⠀⢰⣿⠇⠀⠀⠀⠀⢠⠃⡜⢠⠃⢸⡇⡐ ⡀⠀⠀⠀⢠⠹⣿⣦⡈⠹⢿⣿⣾⣵⣛⡧⢿⣹⢮⣏⡷⣻⢼⣫⢟⣿⢃⣿⡄⠀⠀⠠⠀⠀⢠⣿⡟⠀⠀⠀⢀⠜⡠⢃⠜⠢⠄⣸⠇⡐ ⣧⠀⠀⠀⠀⠣⢄⣛⢿⣷⣄⣉⡻⢿⣿⣿⣿⣮⣷⣞⣳⣯⣷⣯⣿⣟⠂⣿⡇⠀⠀⠀⣠⣴⣿⡟⠀⢀⣤⠖⠡⢊⠔⠡⢊⠱⠀⣾⠁⠆

⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠋⠊⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠸⡄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣯⠳⣄⠀⠘⢇⠀⠀⠀⠠ ⡠⠄⠈⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢿⣿⣿⣿⣷⣈⠓⢤⡀⢣⠀⠀⠀ ⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⢇⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⣠⠋⣀⣋⣿⣿⣿⣯⣯⣭⣿⡟⠡⡀⠀ ⠰⠁⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⡀⠀⠀⢸⠘⡄⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⢰⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢡⠀ ⠃⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⡄⡸⠁⠀⠀⣼⠀⠘⣄⠀⡀⠀⠀⠀⠀⠈⠳⣄⠀⡇⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢣ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⡸⢠⠁⠀⢀⠞⢹⠀⠀⠘⢆⠈⢶⢄⡀⠀⠀⠀⠈⠳⢇⡀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⡀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⢀⢇⣆⣀⣠⠏⠀⠀⡆⠀⠀⠈⠣⡈⠣⡈⠑⠲⠤⢀⣀⣀⣉⣲⠤⠄⠀⠀⠄⠀⠈⢻⣿⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⢸⡼⠀⢨⠟⠻⢖⢤⢱⠀⢸⠀⠀⠈⠲⣌⠢⣄⠀⠀⠀⢹⡀⢷⣶⠖⠉⠀⠈⢢⠀⠀⢻⡀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡟⢇⢰⣸⡇⢠⠏⠀⠀⠀⠑⢿⣇⠀⠇⠀⠀⠀⠀⠉⠺⡷⠦⣤⣾⡖⠋⠉⠢⡀⠀⠀⠀⠑⣄⠀⠁⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣧⣨⣿⣿⣧⣎⣀⡀⠀⢄⡀⠀⠙⣄⠸⡀⠀⠀⠀⠀⠀⣧⠀⠋⠀⡇⠀⠀⡀⠈⠢⣀⣰⡃⠈⢢⡀⠘⡆⠀⠀⠀ ⠀⠄⠀⠀⠀⠀⠀⠀⢿⣿⠿⠛⠻⠿⠿⣿⣿⣶⣿⣦⡀⠘⣆⢧⠀⠀⠀⠀⠀⢟⢧⠀⢀⣴⣲⣭⣶⣾⡿⠿⠿⢿⣿⡇⠈⠦⡇⠀⠀⠀ ⠀⠐⡀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣦⠸⣿⣆⠀⠀⠀⠀⢸⡀⢳⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⣿⣷⡤⣀⢳⠀⠀⠀ ⠀⠀⠑⣄⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⠙⣧⡀⠀⠀⠀⢇⠈⠁⠠⠀⠀⠀⠀⠀⠀⠀⣰⡿⣻⠀⠈⠙⠀⠀⠀ ⠀⠀⠀⠈⣦⡀⢲⡀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡿⠒⠃⠈⠲⠤⣀⡘⣇⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⢁⢿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⠈⢮⣯⣦⡀⢻⡦⠀⠤⠤⢤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣄⣠⠄⠈⠉⠓⠀⠀⠀⣀⣀⠀⠀⠙⠁⣼⢿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⡟⣿⡏⠢⠷⡄⠀⠀⠀⠀⠀⠀⠀⢀⣄⣀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠉⠉⠉⠀⠉⠉⠁⠀⢠⣿⢘⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣷⣧⡙⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢋⣯⣸⣸⣻⣉⣒⠒⠤⠤⢤⡀⠀⠀⠀⠀⠀⠠⣦⡆⠀⣸⡾⡿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣦⣧⠀⠀⠀⠀⠀⠀⠀⢰⠗⠊⠉⠀⠀⠀⠀⠉⠁⠚⠤⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣯⡞⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⠀⠘⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⢠⣤⠄⠀⠀⣼⡵⠓⣄⡇⠠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣿⢿⣿⣿⣿⣷⣤⡀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⣀⣤⡞⠁⠈⠳⣼⠀⡆⠀⠀⠀⠀ ⠳⡀⠀⠀⠀⠀⠀⠈⠲⢿⣿⣿⣿⣿⣿⣷⣤⣘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣀⣴⣾⠋⠀⢣⠀⠀⠀⢸⣰⠁⠀⠀⠀⠀ ⠀⡷⡄⠀⠀⠠⣄⣀⣀⣀⣀⣨⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⢀⣠⣷⣶⣿⣿⣿⡏⣠⡆⢸⠀⠀⠀⣾⠃⠀⠀⠀⠀⣰ ⣄⣷⠘⢦⡀⠀⠹⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣍⠓⠒⠒⠖⠒⢋⣽⣿⣿⣿⣿⣿⣿⣴⣿⢡⠏⠀⠀⣰⠃⠀⠀⠀⢀⠀⠀ ⠈⠈⢣⣼⣿⣦⡀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣾⡻⣿⣿⣿⣿⣿⣿⣶⣦⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠎⠀⠠⡴⠁⠀⠀⣀⠔⠁⠀⠀ ⠀⠀⣸⣿⣿⣿⣿⣷⣌⡻⣿⣿⠟⠻⣿⡻⣿⣷⣌⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⣠⢏⣀⡤⢴⠏⠁⠀⡀⠀⠀

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⠀⠀⠀⢸⣿⣿⡇⡆⠿⠟⢿⡀⣀⣴⠾⢛⡫⠭⠒⠎⠁⡽⡁⠈⠂⠀⠀⠀⠀⠀⠀⠈⠹⠒⠦⢤⡄⠹⣿⠀⣷⢲⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⡤⠊⣉⣉⣉⣧⣤⣴⠾⢛⡭⠗⠘⠁⢀⣄⣲⣾⡿⣱⣇⠀⠀⠀⠀⠀⠀⠀⠀⠉⣀⠤⠀⠀⠉⣶⣿⠀⣿⠀⠀⠀⠈⠃⠀⠀⠀⠀ ⠀⠈⢀⣠⣴⣿⠿⣿⠛⠁⠊⠁⠠⢴⣪⣴⣾⣿⠿⠟⠛⠋⠉⠈⠉⠉⠉⠙⠒⠢⢄⣈⣁⠤⠤⠒⠋⢳⢿⣄⠛⠀⠀⠀⠀⠀⠀⠉⠻⣶ ⣤⣶⣾⠟⠋⣠⡶⠟⣹⣶⣄⣠⣤⣤⣤⠖⠋⠀⠀⠀⠀⠀⠁⠀⠁⠀⠀⠀⠀⠀⠀⠈⠑⠠⣀⠀⠀⠈⢣⠈⠑⠠⢄⡀⠀⠀⠀⠀⠈⠙ ⡏⣿⠀⣠⡾⢋⣠⣴⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⠑⢄⠀⠀⣆⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀ ⣷⢹⣾⣿⣿⣿⣿⣿⣿⡿⢿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣷⣦⣀⠀⠑⢄⠹⡇⠀⠀⠀⠀⠀⠀⢀⠀⠖ ⣿⣇⣻⣿⣿⣿⣿⡇⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⢀⠷⣄⠀⠀⠀⠶⣿⣿⣿⣿⣿⠃⠀⡓⢿⡄⠀⠀⠀⠀⠀⠉⠰⢦ ⣿⣿⣿⠘⣿⣿⣇⡧⠊⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⢡⠀⠀⠀⠀⠀⢸⡀⢄⠑⢄⡀⠀⠀⠙⣿⣿⡿⠀⠀⢀⠀⠈⠐⠒⠀⠄⠀⠀⢠⣤ ⣿⡟⠻⠄⠋⠉⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⣴⣁⢤⠼⡆⠀⠀⠀⠀⢸⡇⠀⠉⠢⢍⠒⢄⣧⠁⠙⣿⠀⠀⠈⡆⢤⠀⠀⠀⠀⣀⣀⢸⣿ ⣿⣿⣦⣄⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⣼⠟⠁⠀⠑⠘⢆⠀⠀⠀⠀⡇⢠⣤⣤⣤⣤⣤⠈⢻⡀⠈⠀⠀⠆⢱⠈⢣⠀⠀⠀⠹⣿⣿⣫ ⢹⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⢠⠀⣰⣯⣶⣶⣶⣶⡄⠙⢷⣦⣀⠀⠘⡀⠋⣽⣿⣿⣏⢳⣌⡇⠀⠀⠀⢰⠈⡆⠀⣇⠀⠀⠀⠘⢿⡟ ⠈⠉⠉⠉⠉⢉⣻⠀⠀⠀⠀⠀⢸⠀⣿⡟⢡⣿⡿⣿⣆⠀⠀⠈⠙⠛⠛⠉⠀⣿⡯⢽⣿⡆⠈⠁⠀⠀⠀⠀⠀⠃⠀⠈⢆⠀⠀⠀⠀⠈ ⡀⠀⠀⢀⡤⠠⠇⠀⠀⠀⠀⠀⢸⣄⡏⠁⠸⣿⠗⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀ ⠀⠙⠢⣌⠀⡘⠀⡌⠀⠀⠀⠀⣿⠛⡄⠀⠀⠉⠁⠉⠀⠀⢀⡤⠄⠂⠠⡄⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣾⣷⠀ ⣷⣤⣀⣀⣱⠁⢰⡇⠀⠀⠀⢰⠙⢄⠸⡀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣰ ⣿⣿⣿⡟⠃⠀⣼⡄⠀⠀⠀⡇⠀⠀⠳⢧⠀⠀⠀⠀⠀⠀⠘⢆⣀⣀⣠⠏⠀⠀⠀⠀⠀⣰⡿⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿ ⣿⣿⣿⣧⠀⠀⠉⠃⠀⠀⢸⠀⠀⠀⠀⠀⠳⢤⣀⣀⣤⣶⣶⣶⣶⣶⡶⠖⠒⠦⠤⠤⢴⣯⠂⠀⠀⣠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠟⠛⠉⢉⡙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣟⣉⣁⣤⣤⣤⣤⣤⠀⠀⠀⠀⣠⠟⠀⠀⡔⠁⠀⠀⠀⠀⠀⣾⡷⠀⠀⠀⠀⠀ ⠀⠀⠐⠦⠌⣙⣷⣤⡠⠄⠀⠀⠀⠀⠠⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠛⠒⠚⠋⠀⠠⠊⠀⠀⠀⠀⠀⠀⠸⠁⠀⠠⡄⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣷⣿⣿⣷⣦⣄⣤⣀⡀⠀⣼⣿⠛⠛⠓⠚⠻⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠋⢻⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢿⣿⡟⠻⢿⣿⣿⣿⠿⠾⣿⡿⠿⢿⣶⣶⡦⠴⠞⠋⠀⢀⡄⠁⠀⣀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠀⠀⠈⠛⠢⣄⣀⣀⠀ ⠀⠀⠀⠀⠀⠈⠳⣦⣤⠖⠉⠀⠀⡄⢀⠈⠁⠀⠀⠀⠰⣦⣄⣤⣖⠩⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⢆⠀⠀⠀⠀⠈⠙⢿⠁ ⠀⠀⠀⠀⠀⠀⠀⣻⠀⠀⠀⢠⠎⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠤⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣡⣤⣤⣤⣤⣄⣨⣀ ⠀⠀⠀⠀⠀⠀⢠⠃⠀⠠⢺⠃⠀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣏⠁⠁⢀⠀⠀⢀⣀⡀⠹ ⠀⠀⠀⠀⢀⣀⣹⣂⠄⡐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣟⠋⠀⠀⠀⣀⣀⣀⣀⠉⢹

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣺⣭⣵⣶⣧⣤⣤⡽⠿⠷⠢⠤⠤⢤⡤⠼⣄⠀⠀⢸⣦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠈⢳⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣿⠞⣹⡿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠸⡄⠀⠀⠈⠉⠉⠓⠦⣄⠀⠀⠀⠀⠀⠀⠀⠈⡇⠈⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⡿⠟⠋⠁⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢶⡀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⢀⣀⣀⣧⣰⣄⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠞⠉⠁⠀⣠⣴⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⣾⣿⣿⡿⣿⣿⣶⣦⣭⣟⡲⣤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⢀⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⠂⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣶⣤⣤⣀⣀⠀⠉⠉⠛⢿⣶⡝ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⡴⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠹⣿⣿⣿⣿⣿⣷⣆⡀⠀⠙⢷ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⡼⠁⠀⠀⣰⡳⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⢻⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⣼⠁⠀⠀⢠⢷⠇⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠸⣷⣤⣤⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⣾⡎⢀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠿⠛⢿⣷⣦⣀⠀⠀ ⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⢀⡴⣿⠀⠀⠀⠀⡇⢹⣺⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣧⡀⠀⠹⣿⣿⣷⣄ ⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⢀⣤⡞⠲⡧⡀⠀⠀⠀⣷⠘⣿⣆⠀⠀⠀⠀⢸⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠐⢩⠏⠀⢠⠁⠀⠸⠀⠀⣿⠀⢯⠙⡄⠀⠀⠀⢸⡄⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⡀⠁⠀⠀⠀⠀⡞⠀⠀⠀⣠⠇⠀⠀⢸⠀⠀⠀⠀⠀⠹⡄⠘⣧⠘⢦⠀⠀⠈⡇⣰⢿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣰⠃⠀⠀⠀⠀⢸⠇⠀⢄⣠⠋⠐⠒⠤⣘⡀⠀⠀⠀⠀⠀⢇⠀⠈⢦⠈⠳⣄⠀⢹⡁⢸⣹⠈⠛⠳⣄⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠈⢿⣿⣿⣿⣿ ⠐⠀⢠⠇⠀⠀⠀⠀⠀⢸⣀⣀⣼⣿⡿⣿⣶⣆⠈⣧⠀⡄⠀⠀⠀⠘⢧⠀⠈⠳⣄⡈⣳⢮⣧⢸⣿⠀⠀⠀⠈⠳⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠹⡄⠈⣿⣿⣿⡏ ⠀⠴⡏⠀⠀⠀⠀⠀⠀⢸⡉⠹⣿⠁⢠⣿⣿⣿⣧⠘⡆⣇⠀⠀⠀⠀⠈⢂⡞⢁⣀⣾⣉⠙⠺⣿⣿⡀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⢳⡀⢸⣿⣿⡇ ⠀⢰⠃⠀⠀⠀⠀⡀⠀⢸⣿⠀⣿⠀⢺⢿⡿⣿⣿⠇⢸⡼⡄⠀⠀⠀⣠⡾⢶⡿⠟⣿⣿⣿⣦⣈⡧⣧⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⡆⠀⠀⠘⢧⠈⣟⣿⡇ ⠀⢸⠀⠀⠀⠀⣰⡇⠀⠈⣿⡄⡏⠁⢸⡄⠁⠙⡏⠀⡜⠀⠻⡄⡠⠚⢁⡴⠋⠀⣴⣿⣶⣿⣯⣿⣿⣿⡖⠂⣰⠃⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⠀⠀⠘⣆⢸⡈⠳ ⠀⢸⡆⣼⠀⠀⣿⣷⡀⠀⢹⣷⠁⠀⠀⠙⠂⠞⠁⣼⠁⣀⡠⣎⡡⠞⠉⠀⠀⢠⡟⢸⡟⣿⣟⣿⢿⣿⣷⣠⠋⠀⠀⠀⠀⠀⣠⠂⠀⠀⠀⠀⡄⠀⠀⠀⠘⣟⠢⣄⣀⠈⠳⣧⠀ ⡄⠀⡇⣿⠀⠀⢸⣿⣿⣄⠘⣿⡆⠀⠀⠀⠀⠀⠸⠓⠻⠝⠛⠁⠀⠀⠀⠀⠀⠘⢷⡀⠁⢘⣩⢯⣾⠟⣹⠋⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⢠⣿⢰⠀⠀⠀⠸⣄⠀⠀⠉⠓⠚⢧ ⢳⠀⢷⣿⡄⠀⠘⣿⣿⣿⣳⣌⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠉⢀⡼⠃⠀⠀⠀⠀⠀⡼⠁⠀⠀⢠⠄⠀⡜⠈⣆⢧⡀⠀⠀⠘⣆⠀⠀⠀⠀⠘ ⠘⣆⠸⣿⣷⡀⠀⣿⣿⣿⣿⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⢠⠏⠀⣰⠁⠀⠘⣼⡝⠦⣀⠀⠈⢷⣀⠀⠀⠀ ⠀⣿⠈⣿⣿⣷⡀⠸⣿⠙⠻⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡼⠁⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⣰⠋⠀⣰⠃⡇⠀⠀⠘⢿⡀⠈⢹⠲⠶⣿⠷⠀⠀ ⠀⣿⠈⣿⣿⣿⠟⣦⣹⣆⠀⠈⠛⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⣀⡤⠖⠋⠀⠀⠀⠀⣠⡾⠃⠀⡴⠃⣸⠁⠀⠀⠀⠀⠙⠦⣸⡄⠀⢿⡀⠀⢀ ⠀⡇⠀⢿⡿⠋⢀⣿⣿⡙⠳⣄⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⠮⠥⠠⢤⡶⠚⠁⠀⠀⠀⡀⠀⣠⣾⠟⠁⣠⠞⠀⢀⡟⡼⠀⠀⠀⠀⢀⢠⠏⡇⠀⢸⡇⣠⡟ ⣰⠀⠘⣎⢧⡀⢸⣿⡏⢷⡀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠟⠉⠀⠀⣀⣤⢶⣫⢴⣾⠿⢁⡤⠞⠁⠀⢀⣾⡾⠁⠀⢀⠀⣠⢯⡎⢸⢀⠀⣸⡿⠋⠀ ⠿⢤⣄⣨⢧⣙⠺⣿⡇⢸⣧⠀⠀⠀⠀⠀⠀⠈⢧⣀⠀⠀⠀⠀⠀⠀⣀⠤⣴⢛⡽⠒⠒⠚⠻⠙⠂⣉⣡⠴⢋⣤⠞⣿⠳⣄⢀⡴⣻⡟⢁⡀⣠⣫⠞⢉⠟⢤⡿⠾⠚⠉⠀⠀⠀ ⠒⠋⠉⠉⠁⠉⠉⠹⣷⡀⣿⡄⠀⠀⠀⠀⠀⠀⢀⣽⣿⣿⣷⣶⣿⡿⠉⣼⣳⠏⠀⠀⡀⠀⠀⠀⠈⠁⢠⣴⣟⠁⠀⢸⡆⠈⠙⠒⠛⠷⠛⠚⠉⢀⡴⠋⢀⡾⠃⠀⠀⣠⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣇⣠⠀⠀⠀⠀⣀⡾⢿⣿⣿⣿⣿⡏⠀⢰⡟⠁⠀⢀⣼⠁⠀⠀⠀⢀⡴⢿⣿⠁⣠⣶⣷⣾⣦⣀⣀⠀⠀⣀⣠⣴⠟⢀⡴⠋⠀⠀⠀⠘⢻⡟⠛⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⣰⣿⣿⡥⠞⠛⠻⠿⣿⠏⢠⢟⡞⠀⠀⣸⡇⠀⢀⣠⠖⠁⠀⢸⣇⣾⠟⢉⣁⣉⠙⢿⣿⣿⣿⣿⡿⣿⣿⣿⣶⣦⣤⣄⡀⠀⢸⡟⠛⠻ ⠤⠒⠒⠲⢿⣳⡿⠟⠛⣫⡟⠁⣀⣠⣚⡵⣿⠃⠀⠀⠀⣠⣚⣽⣀⡟⣸⠀⢠⣴⣿⣇⡴⠋⠀⠀⠀⠀⣿⣿⣿⣧⣾⣿⣿⣿⠛⢿⣿⠋⠀⠀⠛⣧⣀⣨⣿⠿⢛⡇⠀⠺⠿⠶⠾ ⡠⠀⠒⠉⢉⣁⣤⣤⡬⠥⠖⠒⠛⠋⢁⡼⠃⠀⢠⠖⡊⡉⣇⠀⡿⢰⡇⠀⠸⣿⡿⠋⠀⡀⠀⢀⡤⠖⢹⡿⠿⣿⣿⠿⠛⢉⣤⡏⠻⣷⡀⠀⠀⠀⣻⡏⠁⢠⣾⣤⣤⣤⣤⣀⡀ ⢀⠀⢴⡞⠉⠁⠀⠀⠀⣀⣠⠴⠖⠚⠉⠑⠲⢴⡇⠀⣿⠋⠍⠀⣇⢸⠀⠀⠀⣿⠀⠀⡰⠗⢊⣉⡠⠴⣿⣴⣾⣿⣿⡄⠸⣿⣿⣿⣦⠘⣿⡀⠀⢠⣿⠁⣠⢿⣦⣬⣭⠭⣷⣶⣶ ⣼⣀⠊⠀⢀⣠⡤⠚⢉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠟⠚⠀⠀⣿⣿⡀⠀⠀⠘⣧⠞⠛⠋⠁⠀⠀⠀⢹⣿⣿⣿⡿⠁⢠⣿⠿⢿⡿⠧⠈⣿⣄⣴⣿⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀