⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⣠⡿⠋⠁⡀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⣧⠀⠀⠀⠙⢷⣄⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⡶⠟⠁⣾⡏⢣⡀⢻⣦⣀⠀⠀⠀⠉⠛⠶⣄⠀⠀⣤⡘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠋⠉⠁⠀⠀⠀⠘⣧⡀⠙⢬⡻⣿⣷⡀⢐⣶⣦⡀⠸⣇⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢦⣄⣸⡟⠉⠉⠉⠙⢻⣆⢻⣮⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⠿⡄⠈⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⡀⢻⡆⠀⠀⠤⠀⠀⠀⠙⢷⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢀⣴⡿⠋⠁⠈⠀⠀⠀⢀⣾⣫⣥⡤⢤⣤⣄⠀⠹⣼⣧⠀⠀⠀⠀⠀⠀⠀⠠⠉⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣼⣯⠉⠀⠀⠀⠀⠀⢀⣼⠟⠋⢀⣠⣆⣀⠉⢷⣆⣾⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢏⠉⠉⠻⣟⠒⠀⠀⣠⣴⠾⠛⠁⣠⣠⣿⣿⣿⣿⣿⣆⠹⡎⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠉⠀⠀⠠⢸⣏⣾⣷⣄⠀⠈⠑⢠⡾⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⡏⡦⠙⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣻⣿⣮⡀⠀⣾⡇⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢇⡀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⣷⣿⣿⣷⣄⣿⢧⣤⠿⣿⣿⣿⣿⣛⣛⣯⣿⣿⢟⡋⠁⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠐⠒⠪⠽⠉⠉⠈⠁⠀⠈⠉⠛⠮⠭⠉⠉⠀⠀⠀⡅⠀⠆⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣶⠾⠁⠀⠀⠀⣰⣄⣠⣠⡤⣀⡀⠈⠠⠀⠀⠒⣒⠒⠦⢤⣄⣄⣻⡇⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢃⣴⣶⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣾⣷⣶⣾⣿⠿⠿⠛⠛⠷⣬⡙⢻⣿⣄⠀⠀⠀⠀⠀⠈⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠐⠀ ⠀⠀⠀⠀⠀⢸⡿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋⢉⣁⡀⠀⠀⠀⠀⠒⠛⢋⣫⠽⠟⠛⢛⣛⣛⣳⣶⢾⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢷⡘⣧⣀⣀⡀⣄⠀⠀⠀⣺⡾⠋⠀⠉⢋⣙⡻⡿⠟⠛⣛⣉⠥⠂⢀⣠⡾⠿⠶⠀⠀⠀⠀⣀⠤⢚⣩⣤⠴⠾⠛⠛⠋⠉⠙⠛⠻⠿⣝⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠳⣌⠻⣯⣻⡟⢷⡶⣿⠋⢳⡤⠶⠞⠿⣍⡛⠛⠲⠶⠤⣤⣶⠞⠋⠀⠀⠀⢀⣀⠴⢀⣨⡴⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣟⠳⣬⡻⣿⣆⠹⠄⠀⠀⠆⠀⠀⠀⠀⠉⠑⠀⠔⠚⡏⠀⠀⠀⠀⠤⠒⣉⣤⠶⠿⠛⠚⠓⠒⠶⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠂⠀⠀⣤⡌⠻⣮⡙⠿⣦⣄⣀⡀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠸⠀⠀⢀⣤⠶⠋⠁⠀⠀⠀⠀⢀⢀⣀⣠⣤⣤⣤⣤⣄⣀⣀⣤⣤⠶⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠈⠻⢦⣀⡉⠉⠻⠙⠁⠤⠬⠀⠒⠀⣀⣀⣤⡤⢾⠛⠳⠖⠒⢒⠶⠒⠒⠚⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠀⠤⠀⠉⠛⠛⠲⠶⠾⠶⠶⠾⠛⠛⠉⠁⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠙⠛⣠⣍⡻⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣃⣒⣾⣿⣿⣿⣶⡿⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⡿⠿⠿⢿⣿⣯⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣷⣶⣶⣶⣽⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣟⠿⠿⠯⠽⠗⣶⣹⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣷⣽⣛⣛⣶⣶⠾⣛⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡿⢽⣛⡛⠋⠉⣀⣼⣿⣿⣟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣷⣦⣷⣶⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⢿⠿⠿⡛⠉⠙⣿⣿⣿⣿⠛⠫⣿⣼⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣷⣮⣭⣉⠉⠉⣛⣻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡙⠻⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣷⡿⠿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⣰⣿⣿⡿⣿⣦⣄⣀⡀⠀⠐⠒⠑⠒⠲⠉⢛⣚⣉⣥⠶⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⣶⠛⠉⠉⠁⢀⡈⠻⣯⡉⠙⣿⣿⣿⣿⣤⣉⠉⠉⠉⢙⠛⠛⠻⠯⠭⠽⣻⠉⢃⣐⣤⠾⣿⣧⣀⣀⣀⣤⣤⣤⣤⣄⣀⠀⠀⠀ ⠈⢿⣿⣧⡄⠀⠀⠀⠈⠓⠬⠿⠆⠳⠌⠙⠛⠿⢿⠛⢶⣶⣤⣤⣤⣤⣴⣶⣛⣉⣤⣤⡴⠶⠟⠻⠯⠽⢿⣿⠟⠛⠛⠛⠿⢿⣿⣦⣄ ⠀⠀⠙⠿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢀⠄⠀⠀⠉⠀⠀⠀⠀⠉⠉⠉⣁⡤⣀⡀⠀⠀⠀⢀⡴⠟⠁⡤⣬⣁⡀⠒⢲⣻⡿⠋ ⠀⠀⠀⠀⠈⠙⠻⣶⣠⣀⠀⠀⠀⣠⣤⣶⠞⠯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠁⠈⢳⡀⠀⠚⠉⠀⠀⠀⢀⣽⣿⣯⡝⠟⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠾⢿⢿⣿⡟⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠆⠀⠀⣠⣤⡤⠶⠛⠋⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠒⠶⠶⠶⠶⣶⣦⣴⣶⠦⠤⠶⠶⠒⠒⠚⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠒⠒⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡰⠋⠀⠈⡆⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢠⠴⠊⠁⡏⠠⡀⢧⣀⠀⠀⠈⠑⠢⡀⠀⠄⠘⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡎⠁⠀⠀⠀⠀⠙⠦⡀⠀⠹⡷⠤⠭⠵⡄⢱⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⠏⠀⠀⠀⠀⣀⣀⣀⠀⠈⠙⡎⠁⠀⠀⠀⠈⢦⡹⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠋⠁⠀⠀⠀⢠⣎⠭⠥⠤⢀⠀⠡⣇⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠴⠶⡾⢂⡀⠀⠀⢀⡰⠏⠁⢀⣮⣤⣄⠑⠖⠽⡄⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⢀⢰⣃⣤⡀⠈⠀⠀⡰⠊⠉⠀⣠⣶⣿⣿⣿⣿⡅⠘⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠈⠱⡽⣷⣆⠀⢸⡅⠀⣰⣾⣿⣿⣿⣿⡿⡟⡁⡄⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠳⠿⠿⠧⠼⠱⠞⠙⠛⠿⠭⠥⠴⠟⠊⠅⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄⡠⠈⠀⠀⢀⡀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢀⠀⡀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⢀⡎⣩⣴⣶⣶⣶⣷⣿⣿⣷⣿⣶⣶⡶⠶⠞⠒⠒⢍⡙⣾⣆⣀⠀⠀⠀⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠱⡄⠀⠀⠀⠀⠀⢀⢀⡗⠨⡻⢿⣿⣿⣿⡿⠿⠛⠋⢉⠁⠤⠀⠀⠀⠀⢉⠉⠕⢊⣉⡩⠭⠥⣖⣲⢄⡀⠀ ⠀⠀⠀⠀⠈⠣⡙⢶⡲⡤⣄⢠⠴⢏⢀⡠⢔⠲⠮⢄⣀⣀⣈⡠⠔⠉⠉⠀⠀⠀⢀⣀⠥⠒⠈⠁⠀⠀⠀⠀⠀⠈⠑⢗⠆ ⠀⠀⠀⠀⠀⠀⠈⠪⡱⢵⣌⠂⠀⠀⠀⠀⠀⠈⠀⠂⠀⠢⠁⠀⠀⠀⠐⣀⠤⠖⠛⠒⠒⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠎ ⠀⠀⠀⠀⠀⠀⠀⠆⠈⠢⡉⠳⠦⠄⡀⠀⠀⠄⠀⠀⠀⠀⠁⢀⣠⣖⡉⠀⠀⣀⣀⣄⠠⠤⠤⠶⠤⠤⠤⠤⠖⠒⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠑⠦⠄⢀⣨⣀⣈⡡⠤⠴⠒⠊⡉⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀