⠀⢰⡤⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠓⠲⢽⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⠴⠒⠚⣛⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣤⣄⡀⠙⢮⡳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣞⣿⠿⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠀⠀⠉⠙⠓⢿⣯⡳⣄⠀⢰⢦⡀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠻⣎⣳⣼⠀⠙⢶⣄⣀⣀⣠⣿⠟⢁⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣆⠀⠀⠀⠀⢰⡏⠉⠉⠉⠀⠀⠀⠉⠁⠀⠀⠉⠋⠉⠉⢰⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⡽⠶⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⣉⣳⣤⠀⠀⠀⠀⠀⢠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢷⡀⠀⠀⠀⣄⡀⠀⠀⠀⠉⠀⠀⠀⠀⠐⠛⠁⠀⠀⠀⠀⠀⠰⢛⣦⠈⠙⢲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢴⡛⠙⣶⠀⠀⠀⠀⢸⡄⠀⠀⢀⣠⣀⠀⠀⠀⠀⣴⠐⠂⠀⠀⠘⠛⠉⣛⡦⠀⢙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠇⢸⠇⠀⠀⠀⠀⠀⠙⢻⠟⠉⣸⠉⠙⠓⢲⠛⠁⠀⠀⠀⠀⢀⣤⠾⠋⢉⡿⠀⢹⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡟⠀⠿⠶⠚⠈⠁⠀⠀⠀⢸⡄⠀⠈⠀⠀⢀⡏⠀⢠⣷⡄⠀⠀⠈⢷⠀⢠⡞⠁⠀⠀⣿⠈⠛⠲⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠶⠶⠚⠋⠀⠒⠛⠀⠙⠲⢦⣄⣸⠀⢻⡄⠀⠀⠀⢹⠶⣤⣀⠀⠈⠛⠶⣄⠀⠀⠀⠀⠀ ⠀⠉⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⣾⠀⠀⠙⠻⣦⡀⠀⠈⠻⣦⠀⠀⠀ ⠀⠀⣿⠇⢀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⡴⠇⠀⠀⣰⠇⠀⠀⠀⠀⠈⢻⣄⠀⠀⠈⢳⡀⠀ ⠀⠀⣿⡛⠉⠀⠙⢦⡀⠀⢠⡲⢤⠤⠤⣄⠀⠀⠀⠀⣀⠀⢀⣰⠞⠁⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⢳⡀ ⠀⠀⠘⣧⡀⠀⠀⠀⠈⠁⣠⠟⠀⠀⠀⠈⠓⠶⠤⣌⠉⠉⠉⠁⠀⠀⢀⣀⣤⠴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢈⡇⠀⠀⠀⠈⣧ ⠀⠀⠀⠈⠙⠶⣤⣀⡀⠀⠳⠤⠴⠶⠚⠓⠦⠄⣀⠽⠀⠀⢀⣠⠿⣶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢦⣄⠀⢠⡏⢻⣄⠀⢀⣠⠴⠞⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⣀⣀⣤⠾⠋⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠉⠉⠉⠀⣀⣀⠤⠤⠖⠒⠒⠒⠀⠉⠻⡍⢍⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⣼⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡌⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣣⢃⣀⣀⣀⣀⡤⠤⠶⠞⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⢄⡀⠀⠀⠀⠀⠀⣀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀