⡿⣭⢛⡼⣭⣛⣯⠷⡹⢶⡙⡞⡍⢻⣹⢋⡭⣝⡩⣞⣜⣧⣿⣿⣿⣻⡿⡿⠿⣛⢛⡋⢏⡹⢍⡉⢆⠡⡜⠐⠆⡲⠊⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⠠⣀⠀⠄⡀⢠⠐⠀⠄⠀⡐⡐⡰⣀⢎⡵⡠⠖⠖ ⣟⣧⣿⡼⢧⣫⣿⠾⣟⣧⣿⣵⣼⣧⡿⢮⠷⠟⠛⢛⠋⣉⠩⢁⢂⠒⣡⠑⠲⠀⠃⠈⠁⠁⠈⠈⠀⠀⠀⢠⠔⠀⢸⡀⠀⠈⠀⢠⠀⠀⠀⠀⠀⠀⡀⠀⠄⠐⠂⠐⢡⠉⠐⡈⢤⡀⢎⡰⣤⣦⣼⡾⠶⠓⠛⠉⠉⠁⠀⠀⠀⠀⠀ ⣿⡾⠿⠿⠿⠟⣛⠛⢋⠍⡉⠌⠂⠄⡐⢢⠘⠌⠑⠊⠐⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀⠈⡇⠠⠒⡄⠣⠋⣐⠀⠃⢀⠂⣁⣠⣀⣄⣦⡥⠦⠿⠚⠓⠃⠉⠈⠀⠀⠀⠀⠈⠑⠢⣤⣄⣀⠀⠀⠀⠀⠀⠀ ⠀⠄⠣⢈⠰⠈⠠⠃⠈⠐⠈⠀⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠠⠀⠀⢀⡜⠁⠀⠀⠀⠀⣇⣠⣡⣰⣔⣿⡴⠷⠞⠛⠋⠉⠉⠁⡠⠂⠀⢓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠶⠄⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢦⡀⠀⠀⠀⠀⢀⢀⠀⠀⠀⠠⠀⠀⡐⢀⠂⢠⠉⣄⣀⡤⠋⠀⠀⠀⠀⠀⠀⢹⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠊⠀⢠⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠄⠸⡇⠰⠀⠤⠀⡂⢀⡠⣀⡤⣄⢧⠲⠴⠎⠓⠛⠋⢉⠝⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠁⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀ ⠠⠄⠢⠐⡈⠄⠁⢠⠀⡀⢀⡀⢤⣈⣅⣷⡴⠦⠿⠞⠓⠉⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⡠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⡿⠊⠀⠀⠀⠀⠀⠀⠀⠀⢈⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠈⠠⠀⠀⠀⠀⠀⠀⠀ ⠀⣄⢢⡔⣤⠤⠣⠖⠓⠋⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠻⣉⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠆⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⡀⠠⢀⠀⢀⠄⠁⠄⠀⠀ ⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡲⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠂⠂⠁⠂⠈⢈⠀⠄⡐⠀⠀⠠⠀⠀⠀⠠⠀⠂⠀⠂ ⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣾⣿⣿⡗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠁⠀⠂⠀⠀⠀⠂⠄⠀ ⢻⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣯⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⣿⣿⣦⡄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠉⠙⠫⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣟⣧⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠙⡟⠙⢦⠀⠀⢄⠀⠀⠄⠠⠀⠀⠁⠀⠀⠈⠀⠀ ⠀⠀⠀⠀⠀⠙⠆⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣽⣿⢾⣿⣿⣿⣿⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠉⠀⠀⠈⣆⠀⢇⠀⠀⠀⠀⠀⠀⠈⠀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⢧⣄⠹⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢵⡉⠀⠤⢸⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠈⠻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣀⣀⡀⠉⢸⠁⠀⣷⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⠻⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡿⣿⣿⣿⣿⣷⣄⢸⠀⢀⣿⠳⠄⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⡿⣀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⣛⠿⢿⣿⣷⣶⣶⣤⣤⡀⠀⣰⡿⣿⢷⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡇⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⠇⠈⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣷⣦⡀⠉⠉⠁⠀⣾⣿⣽⣻⣿⣿⣿⣻⣷⣿⢿⡻⢿⣿⣿⠛⠏⠀⠀⠐⠀⠀⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡟⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⣾⣿⣷⡿⣿⣿⣿⣿⣿⡿⣗⣣⢟⡳⣞⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⡇⠑⠦⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⠿⠋⠀⠀⠀⣸⣿⣟⣿⣿⣿⣿⠣⢆⠳⣜⣧⣿⣚⡿⣜⣿⠇⢤⢀⠀⠠⠀⠁⠀⠠⠀⠀⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⣰⠇⠀⢀⠀⠀⠀⠀⠀⢀⣤⣀⠀⠀⢀⠤⠒⠤⠤⠤⣀⣀⣀⣀⠀⢀⣿⣿⣾⣿⣿⣿⢧⡛⣌⢳⢺⣯⣷⢯⡿⣵⣿⣃⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠻⣶⣶⣿⣆⠀⠀⠀⠀⠈⢉⣿⠂⠀⣇⠀⠀⠀⠀⠀⠀⠀⠠⢈⡙⣼⣿⣿⣿⣿⣿⣿⠮⣵⠣⣍⣿⢷⣻⡿⣼⣳⡿⠩⠀⠀⠀⠂⠀⠀⠀⠀⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢷⣦⣤⣤⣤⣾⠟⠀⠀⠙⢄⠀⠀⠀⠀⠀⠐⠠⣡⡼⢻⣿⣿⣿⣿⣿⣟⡟⣾⢱⣻⢼⣯⢷⣛⣷⡿⠁⠀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣽⣻⡜⣯⢯⢯⣟⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠁⠀⠀⠀⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣷⣿⣏⡿⣻⣯⠟⠥⠀⠀⠀⠀⡀⠰⢀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣻⣟⡶⣶⣤⣤⣤⣄⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⠟⠫⠅⠀⠀⠀⠉⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠹⣿⣿⢷⣫⣞⣿⣽⣾⣿⣞⡿⣿⣻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠉⠉⠁⠀⠛⠀⠀⠈⠠⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢀⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⡄⣿⣏⠷⣣⢿⣟⡾⣟⣾⣿⣽⣻⡵⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⢹⡗⣌⠳⣭⢿⣯⢿⣽⣻⢿⣾⠿⠟⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡋⡞⣿⡴⣻⠼⣿⣞⣿⣺⣽⣻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⣸⡛⣽⣾⢣⢻⣟⡾⣵⣫⣷⣻⢿⠀⠀⠀⠀⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢠⡷⡹⣔⢢⣿⢺⣯⡟⣮⢗⡿⣽⣻⡆⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣼⡧⢧⡘⢧⡟⢼⣧⡻⣜⣟⣻⣧⢿⡇⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⡘⠤⡀⠠⠠⠀⠠⠄⠀⠄⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⣽⡿⣧⢏⣿⢧⣻⣧⢻⣜⢮⣳⢮⣟⡇⠀⠀⠀⠸⣇⣀⠀⣄⠀⠆⡐⠄⢢⣒⠰⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠈⠄⣀⠠⢠⡐⡢⢄⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡝⢯⣛⠿⣸⡽⣮⢗⡾⣹⢮⣷⣫⡇⠀⠀⠀⢹⣿⠟⢮⢄⠛⣐⠣⢌⢁⠲⢤⠙⡜⢢⠅⢢⠰⠴⡈⢖⣨⢡⡝⠬⣉⠱⣘⢲⡡⢣⡜⡱⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣦⣉⢛⣿⡇⢿⣮⣵⣯⡷⢾⠷⡇⠀⠀⠀⢸⣿⣎⠠⠁⠂⡀⠍⠢⡍⡒⠣⠳⢌⠣⣙⠂⢮⡑⢎⡳⢜⡢⠜⡩⢀⢧⣘⢥⣊⡕⣢⡑⢦⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣴⣦⣦⣽⣦⣿⡇⠀⠀⠀⣸⣿⣿⣷⣭⠒⣉⠐⣡⢐⡒⣩⠳⢌⠡⡠⠌⣂⣉⢢⡑⢮⢰⡉⢶⢋⡦⣘⢦⢣⡜⣒⡘⠦⣌ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠘⢝⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣽⣿⣿⣿⣂⠑⣎⠳⣒⠬⡐⣅⠚⡜⢢⡱⠣⢤⣉⢦⡉⣆⠱⢢⠘⡆⢆⡩⠞⠱⢌⡱⢌⡳⢎ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠈⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⡟⣀⠛⠋⠖⡀⠎⡑⠌⠶⡈⣱⠂⣝⠂⢥⢂⠒⣬⡘⣥⢛⡭⣊⠱⠎⡵⢊⠵⡌⢶⡉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠐⢍⠻⠿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣀⣤⣿⡿⠋⡴⣠⢋⡌⠡⡓⡜⡸⣩⢳⣐⢡⠲⠀⠎⡀⢍⡸⢔⡱⢌⡓⢢⢳⡄⡚⠌⡍⢚⡘⣤⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⢀⠟⠛⡄⢉⡙⠛⠻⠿⢿⣿⣏⢉⣙⣉⣀⣠⠜⢻⡁⠤⠤⣐⠣⠐⠣⠅⠂⠨⣌⡃⣌⠱⡈⢆⡸⠄⠳⢊⡙⢭⣃⢞⡱⢊⡐⠣⣉⠄⣋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣤⠐⡴⢂⠐⠌⡙⢉⢆⡲⢄⠲⣀⠆⣌⠰⢌⠡⣤⢢⠑⠦⢠⠉⣖⡩⢉⠓⣌⠒⢂⠥⠰⢊⡴⢎⡝⣣⠙⣆⠹⢢⢍⠣⠜⣣⠍⠨⢁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠓⠈⠀⠈⣀⠢⡔⢊⣱⣀⠌⡐⠚⠉⠒⡆⢡⠙⡤⠁⢡⠂⡜⠓⠂⠄⡘⠓⢊⣁⡃⢦⢍⡲⠥⢋⣔⣋⠦⢍⠲⣉⡶⣜⣣⢧