⡇⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⢸⠂⠀⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⡷⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀ ⡇⠀⠀⠀⢀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠃⠀⠙⣄⡀⣀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠋⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠘⡄⣠⠄⠀ ⡇⠀⠀⣤⣼⢠⠁⠀⠀⠀⠀⠀⠀⠀⣼⢧⠀⠀⠀⠀⠀⠈⠙⠒⢲⢲⠒⣶⡟⠛⢹⡇⢀⣀⣰⣶⣴⣿⣧⠈⠉⠉⢹⡍⠉⠁⠀⠀⠀⠀⠀⢠⢿⠀⠀⠀⠀⠀⠀⠀⠀⣷⠙⠛⢉ ⡷⣶⡦⠾⠃⡼⠀⠀⠀⠀⠀⠀⠀⢀⣇⠈⢧⢰⠒⠢⣄⠈⠀⢀⡞⠀⢳⠬⣿⣷⣿⣿⡿⣼⣿⡿⠿⣿⠛⠲⣶⠀⠾⠁⠀⠀⠀⠀⠀⠀⣠⠋⢸⡆⠀⣀⡤⠄⠀⠀⠀⢹⡀⠀⠚ ⡇⠈⢻⣄⠀⡗⠀⠀⠀⠀⠀⠀⠉⠚⠳⣄⠈⢿⣀⡠⢲⠑⠦⠾⡇⠀⣼⠊⠛⠋⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠙⢷⣀⣤⡀⠀⠀⣀⣖⣏⣿⣆⠷⠋⠁⠀⠀⠀⠀⠀⠰⣇⠈⠻ ⡇⠀⠀⡿⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⣷⣦⣀⡌⠀⠀⠀⣇⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣻⣷⣞⣿⣿⠛⢃⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀ ⡇⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣸⠀⠉⠉⠉⢉⡏⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⣿⠟⠉⠀⣁⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇⠀ ⡇⠀⠀⠀⢀⠑⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⣧⠀⠀⣸⣄⣴⣼⠿⣿⡟⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⣀⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠝⠉⢡⡀⠀ ⡇⠀⠀⢀⣨⣿⠗⠀⠣⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢟⣿⣷⣿⡿⠿⠛⠓⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣔⡚⠉⠉⡳⠴⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠛⠿⠻⣦⡘⢷⠀ ⡇⠀⠘⠭⠿⠶⠶⠶⠶⠤⠉⠒⡤⢀⡀⠀⠀⠀⠀⠀⢸⣿⡽⠃⠑⡾⣒⠤⠷⠾⠂⠀⠀⠀⠀⠀⠀⠀⠀⠣⢼⣷⠾⠟⠋⠉⡏⠂⠀⠀⣀⡄⢀⡠⠔⠋⢧⡀⠀⠀⠀⠈⠻⣏⡇ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠁⢀⣉⡱⢦⢄⠀⠀⠈⢀⡅⠤⣘⠀⠀⡽⠓⡄⠀⠀⠀⠀⠀⠄⠀⠀⠀⢴⠟⢣⣀⣠⣤⡞⢠⣀⣤⠚⡡⠚⣯⣀⣀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠁⠀⠀⢰⠁⡞⠀⠉⠲⢄⡨⡄⡠⠉⠛⡯⢝⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢩⡿⢖⠈⠉⢀⢶⢦⡀⠉⠀⡰⠋⣻⢃⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⢠⠃⢠⠃⠀⠀⠀⠀⣧⡈⠓⠒⢶⣷⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠂⣼⢶⠉⢉⡼⣧⠙⠢⣴⡷⠛⠁⠘⣇⠀⠀⠀⠈⠢⡀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⢀⡎⠀⠏⠀⠀⠀⠀⠀⡛⠉⠓⠒⠳⠞⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡉⠉⠀⠀⣞⢧⠞⠉⢧⡀⠀⠀⠸⡆⠀⠀⠀⠀⠙⢦⡀⠀ ⡇⠀⠀⠀⠀⡰⠃⠀⠀⠀⠀⢀⡌⠀⡼⣤⣸⣷⠀⢀⣤⣇⣄⣠⣤⣴⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⠱⢴⣺⣛⣶⣹⣦⡀⠈⢳⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠙⢦ ⡇⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⡜⠀⢰⠁⢿⡿⠿⣿⣿⡟⣿⣿⣯⡿⢿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣀⠀⠘⠛⡻⣿⣷⣿⣿⣿⣷⣾⣇⡀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⢠⡋⠀⢀⡀⠤⠤⠤⠾⠤⢤⡮⣀⡈⢷⣀⠩⠽⠯⠤⠤⢅⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⠁⠀⠀⠉⠉⢩⢟⣹⣿⡧⢔⡂⠈⠉⠉⠉⠉⠐⠒⠤ ⡇⢠⠋⠀⠀⠉⠀⠀⠀⠀⠀⠀⠈⠑⠴⠊⠉⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠈⠁⠿⠓⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠘⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠉⠒⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠸⡀⠙⣦⠜⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠒ ⡇⠀⠀⠀⠀⠀⠀⣿⣷⣶⠧⢄⣀⠀⠀⠀⠠⡀⠀⠀⠀⠀⠀⠉⠛⠛⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠙⣤⣏⡀⠀⠀⠀⢀⣴⣂⣀⣀⠤⢴⠒⢉⠁⠀⠀ ⡇⠀⠀⠿⣷⣖⠛⠋⢠⠇⠀⠀⠈⠉⠉⠐⠲⠽⢦⣀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⡼⠈⠉⠉⢀⠔⠋⠀⠀⠀⠀⠀⠈⣦⠈⣷⠀⠀ ⡇⠀⠀⠀⠀⠙⠳⠄⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣳⡄⠀⠀⠐⠶⣊⣡⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⢸⠄⠀⠀⠀⢀⡠⠚⠀⠀⠀⣔⢇⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠙⢷⢀ ⡇⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⡇⠀⠀⠀⠀⠀⣇⠀⠀⡼⡄⠀⠀⠀⠀⡀⠀⣠⠏⠀⢠⣠⠚⠁⠀⠀⠀⠀⠀⡇⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠈⠛ ⡇⠀⠀⠀⠀⠀⠀⡟⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⢹⠀⠀⠀⠀⠀⠹⡀⢸⠀⠙⢄⡀⠀⠀⠸⠞⠙⢤⡀⢻⠃⠀⠀⠀⠀⠀⠀⢠⠁⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⡇⠀⠀⠀⢠⣖⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠈⡇⠀⠀⠀⠀⠀⠙⠾⡆⠀⠀⠙⠢⡀⢀⠇⠀⠀⠑⠪⢦⡀⠀⠀⠀⠀⠀⡞⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀ ⡇⠀⣀⣠⡴⠿⠃⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⢠⢇⡞⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⡇⠀⠉⠚⠛⢶⡦⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠚⠁⡆⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⡠⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠘⣧ ⡇⠀⠀⠀⠀⠈⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠐⡄⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⢠⠃⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢰⡟ ⡇⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠣⡀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⣠⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠫ ⡷⢶⣶⣿⡧⡀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠈⠒⠢⠤⡆⣀⠄⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢄⣰⠑⠉⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀ ⡇⠀⠙⢷⣍⠁⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡇⠀ ⡇⠀⠀⠀⢩⠊⠀⠀⡄⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⣀⠤⠞⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠒⠳⠤⣀⡀⠀⠳⡀⠀⠀⠀⠀⠀⠘⡆⠀⠘⢆ ⡇⠀⠀⣰⠃⠀⠀⠀⡇⠀⠀⠀⢀⡜⠀⡏⠀⠀⣤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠀⠀⠀⠐⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⡗⠀⢇⠀⠀⠀⠀⡗⠀⠀⠈ ⡇⠀⢰⠃⠀⠀⠀⠀⠱⠀⢀⣰⡯⠤⠒⠓⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠀⠀⠀⠀⠀⢀⡤⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢲⡖⠓⠒⠂⠼⠥⣀⠀⠀ ⡇⢀⡏⠀⠀⠀⠀⣀⠖⠉⠀⠀⠀⠀⣠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⢀⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⡀⠀⠀⠀⠀⠉⠢ ⡇⢸⠁⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀ ⡇⢸⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀ ⡇⠸⡄⠀⡞⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀ ⡇⠀⡇⠀⡇⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀ ⡇⠀⢸⠀⡇⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠸⢰⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⢿⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⡇⠀⢀⠈⣆⢘⡀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌ ⡇⠀⢸⠀⠘⣆⢻⣌⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀ ⡇⠀⣸⠀⠀⠈⠣⡹⣦⡳⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⣀⠔ ⡇⠀⡇⠀⠈⢷⣄⠈⢫⣝⢜⠿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢞⣱⠊⠁⠀ ⡇⠸⠀⠀⠀⠀⠙⢶⣜⠍⠙⢷⣾⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡽⢋⣽⠀⠀⠀ ⡇⢠⠀⠀⠀⠀⠀⣄⣟⢗⣤⡀⠹⣾⢞⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⢿⣿⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⢒⣽⣿⠾⠋⢹⠀⠀⠀ ⣧⠆⠀⠀⠀⠀⠀⢹⠁⠀⠉⠻⢷⣿⣿⠉⠚⠷⣯⢭⣓⠢⣄⡀⠀⠀⠀⠀⣀⣠⣤⡶⠛⣫⢰⢿⢸⢿⣄⣉⠓⠤⣄⡀⠀⠀⠀⢀⣀⠤⠒⣋⣩⢤⡰⢾⠟⣽⠀⠀⠀⢸⠀⠀⠀ ⡏⠀⠀⠀⠀⠀⠀⢸⠆⠀⠀⠀⠀⠹⣿⣵⣦⢤⣀⠈⠙⠚⠋⠻⣿⣿⣿⣿⣿⣭⣥⣤⠾⠋⠀⢹⣾⠀⠈⠉⠛⠻⠶⠶⠾⠿⠷⡾⠉⠙⠒⠋⠁⠀⢀⣮⡼⠋⠀⠀⠀⡼⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⢨⠏⠀⠈⠉⠛⠻⠴⠶⠆⢹⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠦⠤⣤⣤⣤⣤⣼⣤⣤⣤⠂⠀⠀⠙⠚⡏⠀⠀⠀⠀⠀⠇⠀⠀⠀ ⡇⠀⠀⠀⠀⡀⠀⢻⣧⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⣠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⡟⠀⠀⠀ ⡇⢠⠞⠀⢸⠁⠀⠈⡇⠀⠀⠀⠀⠀⡏⠀⠀⠀⠉⠩⠟⡏⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⡆⠀⠈⠉⠀⠀⠘⡆⠀⠀⠀⢠⠁⠀⠀⢀ ⣷⠃⠀⢰⠋⠀⠀⣠⠇⠀⠀⠀⠀⡴⠁⠀⠀⠀⡄⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠈⣆⠞⠉⠈ ⡏⠓⠒⠉⠒⠀⠐⠃⠀⠀⠀⣀⡼⠃⠀⠀⠀⠀⠇⠀⠀⡸⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢠⠀⠀⠀⠈⢣⣄⠀⠀⠈⠑⠂⠐ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠧⠦⠤⠤⠤⠤⠾⠤⠤⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠤⠤⠴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠤⠤⠬⠧⠤⣀⠤⠴⠚⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀