⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣯⣟⣯⢿⣽⢿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⣯⣿⡽⣳⢯⡟⣿⣿⡺⢯⢿⢾⣻⡿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣾⣷⣿⡿⣯⡛⠿⢝⡙⠗⢥⣱⣯⣳⢯⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⡿⣻⣿⣿⡽⣿⣣⣟⣾⢵⣿⣿⣽⣑⣄⡉⠢⡠⣻⣿⣾⣿⣷⣻⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⣿⣿⣯⣻⢵⡢⢌⠂⢝⢦⣿⣮⣪⣮⣻⣿⣟⣯⣿⢾⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⢯⣿⣿⣳⣯⢿⡹⡿⣏⠫⠻⢦⡙⠢⡳⣺⡻⣻⣿⣿⣾⢿⣿⣟⣿⣯⣿⢾⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⣷⣿⢻⣿⠏⣿⣻⡞⡇⠑⡘⣧⠱⡔⣿⣗⢿⣾⣿⣾⣿⣿⣿⣻⢷⣯⣿⢿⣯⣿⣻⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⢿⣳⡟⣇⣿⡆⢹⢣⠁⠰⡀⠸⡝⣯⣾⣿⣿⡿⣿⡯⣿⣿⣯⣿⣽⣻⣞⣿⣿⣿⣿⣳⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⣮⢽⣧⣿⣿⢻⣼⣎⣆⣦⣹⣽⣹⣷⠸⣿⣿⣿⣌⢛⣾⣿⣿⣿⣿⣷⣻⣿⣿⣿⣿⣽⣻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⣿⣿⣽⢾⣿⣿⣿⣻⠃⣿⣿⣿⣽⣿⡿⣿⣻⡇⠈⣻⣿⡻⣧⡀⠉⠺⢿⣿⣷⢿⣾⣿⣿⡿⣿⣽⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⣿⣿⣷⣿⣿⠀⠙⣿⡘⣿⣯⣿⣽⣯⣿⡔⠁⠀⢛⢌⣹⣶⣶⡾⣮⣝⣯⣿⣿⣿⡗⠘⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⢾⣿⣿⢻⡆⠀⣘⣧⢻⣿⣿⣿⣿⣿⣵⡀⣔⣵⢿⣿⣿⣿⠋⠂⢹⢻⡿⣿⣿⣿⢀⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⣿⣿⣿⣿⣿⣻⣿⡏⣯⠉⠀⠘⣇⠹⣿⡿⣿⣿⣿⣷⣼⠃⠘⡿⠻⣽⡏⢹⠸⢸⢿⣻⣿⣿⣼⡿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⣿⣿⣿⣿⣿⣿⣏⢧⣸⣷⣶⣶⣾⣧⡙⢿⣮⢻⡟⠽⣎⠖⡄⠈⠢⠄⠤⠖⠁⢨⣾⣿⣿⣿⣿⣟⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣿⡽⣿⣿⣿⣿⣿⣨⣿⠀⢻⣿⣿⣈⡅⠀⠙⢇⠝⠄⠉⠓⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣻⣿⣿⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢸⣿⣷⣿⣿⣿⣿⣿⣯⠉⠢⡀⠫⡨⠉⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⣼⣿⣿⣿⣿⣿⣻⣿⣿⣷⣄⠈⠒⡒⠉⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡷⣿⣿⣿⣿⣾⣿⡇⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢠⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣥⡈⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⡟⣿⣧⣿⣿⣿⣿⣿⣿⣇⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⣾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢾⣷⠄⠀⠀⠀⣰⠓⢀⣷⣿⢙⣿⣿⣿⣿⣿⣿⣿⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣸⠇⣿⣿⣿⣿⣧⣻⢿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠔⠉⣄⠚⠤⡀⢸⡿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣷⡏⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠉⠛⣿⣿⣿⡿⣿⠿⡷⣶⣶⠊⠀⣴⣧⡍⠂⣃⣸⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣻⠀⠸⢸⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⢸⡿⣯⢿⡀⠀⠥⡴⠃⠀⠾⠷⠿⠷⠠⣰⡟⢺⣿⣿⢸⠋⠙⠛⠻⠿⢿⣷⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣷⡇⠀⠇⣿⣿⣿⣿⣿⡿⠅⠀⠀⠀⠀⠀⠀⢀⢜⠃⣿⣿⣇⡠⠊⠀⠀⠀⠀⠑⢒⠰⠤⣼⠁⢸⣿⡇⢸⠀⣀⡀⠠⠤⠐⠂⠀⠉⠉⠐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇⢸⢦⣽⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⡇⠀⠂⣞⡿⠊⠁⠀⠀⠀⠀⠀⠀⠀⠈⡖⠤⡤⣅⢼⣿⡀⡸⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⣼⠁⣿⣿⡌⣿⣿⢿⣿⣇⠀⠀⠀⠀⠀⠀⠀⢿⠀⡐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠘⡄⣀⡈⡄⣿⡕⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⢠⡏⠀⣹⡷⣾⣿⣿⣺⣿⠀⠀⠀⠀⠀⠀⠀⢠⠈⠞⠀⠀⠀⠀⢀⣀⠀⠀⠄⠂⠁⡠⠔⠛⢍⡜⣸⡏⠀⡘⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⢀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⢸⠁⢠⣿⣿⣿⣿⡿⣽⣿⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀⠀⠀⠀⠠⠀⣄⡀⠤⠄⠒⠉⠉⠉⠁⠀⢠⡟⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⡸⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⡏⠀⣾⣿⣿⣿⣿⣿⣽⡇⠂⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⢠⠃⢠⠃⡤⠖⠂⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⢠⠃⠀⠀⠀⢠⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠃⣼⣿⣟⣿⣿⣿⣿⡽⡇⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⢠⠃⠀⣬⠎⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⡛⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢏⠀⠀⠀⠀⡆⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⢸⢰⣿⡟⢸⣿⣿⣿⣿⣿⢇⠀⠀⠀⠀⢀⠊⠀⠀⠀⠀⠀⠏⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⡈⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⢀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⢸⣿⡟⠀⣿⣿⣿⡿⣿⣿⠀⠀⠀⠀⡠⠃⠀⠀⠀⠀⠀⡸⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢄⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⠢⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⣾⡿⠁⢠⣿⣿⣿⣿⣿⡇⠀⠀⢀⠔⠀⠀⠀⠀⠀⠀⠰⠁⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⣸⣿⡇⠀⢸⣿⣿⣻⣿⣿⠀⠀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠁⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢠⣿⣾⡄⠀⢸⣿⡟⢹⢻⡇⠠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⢸⣟⡏⢧⠀⢸⣿⡇⢸⣸⡐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢤⠇⡀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣉⡆⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⣯⡇⠸⡄⢸⣿⣷⢸⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⡎⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⣿⣇⠀⢿⡸⣿⣿⡄⡏⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠉⢀⠰⠀⢀⢀⣾⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⣿⡿⠀⠀⢳⣿⣿⢱⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⣰⣿⢿⣿⣿⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⢸⣿⡇⡇⠀⠀⢻⣿⡆⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⠈⠿⣷⣦⣄⡀⠀⠀⠀⠀⢀⣀⣼⢿⡏⠇⢛⠇⠙⢯⡻⢶⣤⣀⣀⣀⢠⣤⠶⢫⣼⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠈⣿⣿⡘⡄⠀⠈⢻⣿⢷⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠋⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣷⣛⣟⠻⠘⡏⠙⠈⠁⢀⡼⠀⠀⠀⠻⠀⣱⠟⢹⠙⢠⠃⠃⠀⣿⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠘⣿⣧⠹⡄⠀⠀⢻⣏⣇⠀⠀⢀⣀⣤⡶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠶⠋⠁⠀⠀⠀⢠⢾⣝⠀⠃⠀⠀⠀⠀⢀⢹⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠘⣿⡄⠱⡀⢀⠠⠽⠘⠒⠒⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢘⠀⠀⠀⠀⠀⠀⠸⠘⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⠀⠀⡈⠟⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠿⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⢀⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠰⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢌⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⠀⠀⠀⣠⣾⣿⣿⣃⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠠⠄⣀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⢠⣿⢿⣿⠏⢸⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⠒⠠⠄⣀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⡼⢣⢟⠏⠀⡸⡀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠀⠌⢁⠂⠠⢜⡁⠀⠀⠀⠀⠀⣼⡱⠫⠊⠀⠐⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠐⠠⠉⠐⠠⠄⣀⡎⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⠠⢀⡀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠤⣰⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠠⢀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠠⢀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⠄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠊⠐⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠠⠄⠒⠀⠀⠀⠀⠀⠀⠀⠀⠑⠄⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡤⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠄⠒⠚⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⠘⠑⢍⠒⠀⠤⠤⠀⠉⢂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢸⠀⠀⠀⠙⠢⣑⠂⠤⢀⣀⡀⠉⠲⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡈⠀⠀⠀⠀⠀⠀⠉⠒⠂⠤⠬⠭⠴⠒⠛⠋⠿⠱⠖⡦⣤⣤⣀⣄⣠⣀⣀⡀⢠⠀⣔⡠⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠃⠆⡹⢌⠳⡍⢯⣙⡯⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡌⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢨⢱⠬⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣀⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠔⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠄⠊⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢎⠔⡂⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠄⠒⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠤⠙⠒⠓⠤⠧⢐⣠⡀⠄⣀⡠⠤⠒⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠒⠉⠒⠠⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⠀⠀⠀⠀⢀⠠⠂⠠⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⢒⠮⡱⢈⠂⡁⠀⠁⠀⠀⠈⠑⠢⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣪⠉⠀⠀⠀⠀⠀⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⢤⠶⠾⠯⢞⣴⣋⠖⡱⡈⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⠒⡐⠡⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠤⠤⢒⠒⡩⢃⣱⣈⠦⠭⠜⠑⠊⠀⠈⠉⠉⠙⠚⠓⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⡠⠊⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠤⠤⠤⠐⠒⠒⢈⠉⡉⣄⡢⠼⠜⠒⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡠⠐⠁⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠤⠄⠒⢂⠉⠡⠀⠐⢀⠐⠠⠤⠄⠓⠂⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠄⢒⠊⠩⠄⠀⠐⠀⠈⠀⠠⠀⠐⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢂⠏⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠤⣒⢊⠕⡠⠃⠌⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠂⠈⠁⠀⢀⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⡍⡘⢡⢂⡌⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⠁⠀⠀⠀⠀⠀⠀⠀⡌⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⢈⠒⡈⢡⠠⠑⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠐⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡠⠤⠤⢚⠡⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⡔⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠊⠀⡠⠖⠀⠀⠀⠀⠀⠀⠀⢀⡠⠒⠁⢀⣀⣀⣀⣄⣠⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡠⠤⠄⠒⠒⠉⠩⠥⠀⠐⠒⠀⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠖⠋⠉⠀⠀⡀⠀⠤⠐⠀⠀⠀⠀⠀⡴⠁⢀⡔⠁⡠⠂⠀⡀⠀⠀⡀⠴⠓⠒⠈⠉⠁⠀⠀⣀⣀⠀⠤⠤⠤⠤⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠐⠒⠒⠒⠒⠂⠀⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠖⠒⠒⠒⠊⠩⠭⠅⠀⠒⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡞⠔⠂⠀⣠⠤⠓⠉⠉⠀⠀⠀⠀⠀⠀⠀⠝⡖⠉⢀⡔⠁⡰⠁⠀⠠⠊⠀⠀⠀⠀⠐⠂⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠑⠼⡞⡉⠁⠤⠒⢈⣉⠤⠀⣀⡀⠤⠔⠒⠉⢣⠔⠋⢀⠜⠀⠌⡠⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠁⠒⠂⠉⠤⠦⠕⠊⠁⠐⠂⠈⠉⠉⠈⠃⣖⠉⢀⠌⡐⢁⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠒⠅⣠⠓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⢀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣴⡄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⢐⣨⣴⣂⣆⢏⡉⢏⢵⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠠⠐⠂⠁⠠⣠⣴⣾⣿⣿⣿⣿⣿⣿⣮⣙⣒⣵⡣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠤⠄⠒⠈⠀⠁⠀⠀⠀⢄⡐⣨⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡐⠡⠉⠀⠀⠀⠀⠀⠀⡀⠄⣌⣲⠜⠚⢹⣿⣿⠟⠁⠀⠈⠙⠋⠻⢿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⡄⠀⠀⠀⠀⢀⢢⡑⣌⠞⠊⠀⠀⢀⣿⣿⠅⡀⠀⠀⣠⠴⣒⣓⠈⠙⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠱⡀⠀⠀⠀⠈⢹⡟⠁⠀⠀⠀⠀⢠⣿⣿⣎⣠⣀⠌⢏⡾⠿⠋⠀⠐⡘⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠱⠀⠂⠀⠀⠀⠘⢆⠀⠀⠀⠀⠖⣿⣿⣯⣿⠿⢣⢄⠄⢀⠐⠠⢀⠡⢛⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠑⡀⠀⠀⠀⠀⠈⠓⡄⠀⠀⢸⣿⣿⣿⡅⠀⢸⣀⣭⢇⢉⣰⢆⠈⢸⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠄⠀⠀⠀⠀⠀⠘⢦⠀⠸⣿⣿⣿⣿⣤⡀⣾⣴⣛⣹⡞⠀⢩⣾⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢄⠀⠀⠀⠀⠀⠈⢳⣬⣿⣿⣿⣿⣿⣿⣦⣕⡊⠋⢀⣠⠟⢩⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠡⡀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠚⡁⠀⠘⡆⢿⣿⣿⣿⣿⣿⣷⣤⡤⢄⢠⡀⡄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣡⢄⡘⡆⠿⠿⣿⣿⣿⣿⣿⣷⣮⡱⠁⠰⠐⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⡌⠢⠌⢂⠥⣉⠖⣩⢛⠿⣿⣿⣿⣿⣿⣤⢃⡐⠞⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⡀⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⠖⡌⢣⠚⡐⠊⠄⡉⡐⢌⠢⢉⠙⠿⣿⣿⣿⣦⡘⢜⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢊⣿⣿⣿⣿⣿⣿⣿⠏⡐⠌⠲⠘⡄⢃⠐⡈⠄⡐⠡⠈⢄⠡⢌⡐⢈⢻⣿⣿⣷⡨⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣇⢒⡰⡈⠆⡡⠐⠄⠂⠀⠀⢀⠁⠈⠀⠂⠀⠀⠌⣶⣿⣿⣿⣷⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡿⣱⣾⡿⠆⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠺⠟⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠉⠓⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢼⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⣸⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣣⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⢶⢺⠁⢢⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣏⡿⢆⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠶⣈⢸⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⠏⠹⣌⠂⡘⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠒⠤⢺⠠⠱⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣟⠿⠀⠀⡇⢌⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠘⡴⡹⢀⢁⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢻⢿⠀⠀⢠⠑⡂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣁⣳⡇⠀⠊⠐⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣠⠎⢂⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣡⢘⣼⠁⠀⠂⠉⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⡠⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡰⢀⡟⣾⡤⠀⠂⠈⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢊⠰⢁⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠔⢠⠣⣼⠁⡖⠄⠀⡁⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡑⢎⡐⠂⠄⠠⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠰⡉⢄⢓⡾⠀⢹⡐⠠⠐⡹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢡⠘⡄⢂⢉⠀⠂⠄⡁⠀⠀⠀⠀⠀⠿⠟⠀⠀⠀⠠⢑⡈⠦⢹⡜⠀⠀⢯⡐⠠⢱⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢳⠁⠂⠌⡀⢂⠈⡐⠠⠄⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠡⢎⡸⢱⢿⠀⠀⠈⣧⠀⢣⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠌⠀⠐⡀⠂⠄⡐⢁⠂⠄⡑⡈⠤⢁⢂⠐⠠⠐⣈⠦⣙⢢⡑⣯⡺⡄⠀⠀⢹⠂⠡⣮⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣹⠈⠄⠀⠂⡀⠁⠐⠀⠄⡈⠐⡠⠁⠜⣀⠊⠔⡡⢊⠤⡓⡌⠦⣝⠲⡽⡇⠀⠀⠈⡇⠐⢧⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⡜⢌⠠⠀⠐⠠⢁⠄⠈⡀⠄⡡⠄⠣⠌⡐⠌⢂⠱⣈⠒⡡⣜⡱⢎⢳⣹⠆⠀⠀⠀⣼⠐⣺⡽⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡜⡂⠆⠀⠀⠡⠈⡜⢷⡦⣱⣠⣱⣥⡊⢔⡈⠄⢂⣰⣬⣕⢢⡕⢪⢥⣫⡇⠀⠀⢠⠇⢲⢩⣞⢷⣵⡤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⢬⠱⡈⠄⠀⠀⠂⠐⢨⢳⣿⣿⣿⣿⣿⡧⢖⠻⣉⠇⡒⢌⠣⡜⢣⢞⣶⠁⠀⠀⢸⢸⠡⢞⡼⢫⣞⡽⡒⠗⢶⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢏⢢⢣⡑⢂⠀⠀⠀⡁⠂⡌⢿⣿⣿⣟⠣⡜⢡⠃⡔⢨⠐⢪⠰⣉⡞⣞⠆⠀⠀⠀⠘⣴⡟⠶⣸⣹⡾⢷⢽⣆⠀⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢃⡖⢌⠂⠄⠀⠀⡀⠣⢘⢦⡿⡏⢆⡓⢌⠢⣁⠢⢁⠎⣡⢃⢧⡝⡎⠀⠀⠀⠀⠀⢷⣣⠀⠑⡽⡌⠿⣦⡑⢷⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣩⠜⡌⢎⠐⡀⠀⠠⠑⡌⢾⣳⡙⠦⡘⠤⡁⢄⠢⡁⢎⠴⣹⢲⡝⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠸⣷⠀⠑⠿⣂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢋⡞⡜⢢⠡⡀⠠⢁⡘⢬⡿⣱⢊⠱⡈⠆⡰⠈⡔⡱⢊⡞⣵⠫⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡜⣭⠒⡥⢂⠁⢄⡘⢲⡟⣡⠊⡔⢡⠘⡠⢉⠴⣡⢛⡼⡣⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠶⣹⠰⣁⠎⠤⡘⣽⢒⠡⡘⠐⡂⢡⢂⡍⠲⣥⠻⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⢧⡳⡌⢦⠑⣹⢃⠎⡐⠡⠡⡈⠔⠢⡜⡳⢼⣹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣶⢫⡜⢢⣹⠣⢌⢂⠡⠑⠂⡅⢊⡱⠬⣝⢧⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣳⠼⣳⠣⡑⠌⡠⢂⠡⢡⠘⢤⠣⡽⣎⠇⢀⠀⢀⡀⣀⢀⡀⠀⡀⠀⠀⢀⠀⠀⠀⢀⠀⠀⡀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣻⢏⠰⡁⠆⡁⢂⠐⢂⠍⣆⡳⣝⠃⠀⡘⠠⠸⠇⠟⠨⠠⠅⠃⠟⡜⠨⠈⠇⠻⠿⠘⠘⠁⠡⠃⠳⠆⠲
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠤⠠⡖⠲⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⠶⣴⣶⣄⠀⠀⠀⢀⣴⣞⣼⣴⣖⣶⣾⡷⣶⣿⣿⣷⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠙⢟⠛⠴⣶⣿⣿⠟⠙⣍⠑⢌⠙⢵⣝⢿⣽⡮⣎⢿⡦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢱⡶⣋⠿⣽⣸⡀⠘⣎⢢⡰⣷⢿⣣⠹⣿⢸⣿⢿⠿⡦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢧⡿⣇⡅⣿⣇⠗⢤⣸⣿⢳⣹⡀⠳⣷⣻⣼⢿⣯⡷⣿⣁⠒⠠⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⣼⣿⣧⡏⣿⣿⢾⣯⡠⣾⣸⣿⡿⣦⣙⣿⢹⡇⣿⣷⣝⠿⣅⣂⡀⠀⠡⢂⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⣿⡟⣿⡇⡏⣿⣽⣿⣧⢻⡗⡇⣇⣤⣿⣿⣿⣧⣿⣿⡲⣭⣀⡭⠛⠁⠀⠀⠈⠀⠉⢂⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⢻⣿⣇⣥⣏⣘⣿⣏⠛⠻⣷⠿⡻⡛⠷⡽⡿⣿⣿⣿⣷⠟⠓⠉⠢⢄⡀⠀⠀⠀⠀⠀⠁⠻⢢⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⢸⣾⣿⣽⣿⣏⣻⠻⠁⢠⠁⠀⠀⠀⠘⣰⣿⣿⢟⢹⢻⠀⠀⠀⠀⠀⠈⠒⢄⡀⠀⠀⠀⠀⠀⠀⠑⢄ ⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⢸⣯⣿⣿⣿⢷⡀⠀⠀⠀⠀⠀⠀⠀⠛⣩⣿⣿⢿⣾⣸⠀⠀⠀⠀⠀⠀⢀⡠⠚⠉⠉⠁⠀⠀⠀⢀⠌ ⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⢟⣿⣯⡟⠿⡟⢇⡀⠀⠀⠐⠁⢀⢴⠋⡼⢣⣿⣻⡏⠀⠀⠀⣀⠄⠂⠁⠀⠀⠀⠀⠀⠀⢀⡤⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠈⠊⢻⣿⣜⡹⡀⠈⠱⠂⠤⠔⠡⢶⣽⡷⢟⡿⠕⠒⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⢿⠿⠿⢿⠾⣽⡀⠀⠀⠀⠈⠻⣥⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠁⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣖⠂⠠⠐⠋⠀⠙⠳⣤⣠⠀⠀⠀⣀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠵⡐⠄⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⡀⠀⠠⡀⠀⠈⠙⠶⣖⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡥⠈⠂⠀⠀⠀⠀⠀⠀⠀⣼⠉⠙⠲⣄⠈⠣⡀⠀⠀⠈⢻⡦⣄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠈⣷⡄⠈⠄⠀⠀⠀⢧⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⡀⠀⢠⣿⣤⣤⣶⣶⣾⣿⣿⡄⢸⠀⠀⠀⢸⣄⣤⣼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠇⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢸⠀⠀⠀⣼⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⢀⣼⣿⣿⣿⡿⠃⠀⠀⠀⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⠁⠀⠈⠉⠙⠛⠿⠿⠽⠿⠟⠛⡉⠛⠲⣿⣿⠿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⢠⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢔⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⠀⠀⠀⠀⠀⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢫⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⡿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠏⣸⣿⣷⢷⠙⣻⢶⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠾⠉⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠰⣏⠀⣿⣿⡘⣼⡇⠀⠁⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠁⠀⠀⣽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢙⠓⠛⠘⣧⠾⢷⣄⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⣿⢟⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⠀⠀⠀⢸⣧⠀⠹⣆⠀⠀⠀⠀⠈⢻⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⢂⠙⢿⡷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢃⠀⠀⠈⠙⠀⠀⠻⡄⠀⠀⠀⠀⠸⡀⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠐⠠⠀⠻⠬⠄⡒⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠋⠀⠀⠈⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⠂⠀⠀⠀⠀⠀⢈⣻⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⢒⣶⣶⠀⠀⢰⢟⣯⣭⣹⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢨⣿⣿⠻⣿⠿⣷⠀⠉⠛⠻⠟⠋⢿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⣿⡄⠀⠀⣭⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⢣⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠼⣿⣷⡄⠀⢿⣤⠄⠚⠀⠀⠴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡄⢶⣯⢷⣦⠤⠀⠘⡇⢿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣦⠛⠒⠃⠀⠀⣼⠴⢋⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣾⣿⣿⣿⣿⣿⣶⠒⠒⠉⠋⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣏⢣⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⡈⢢⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⣿⣽⣿⣿⣿⣿⠟⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⢧⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⠿⣿⡿⠛⠁⠀⠀⠀⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠒⠿⣦⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⣿⣥⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡚⡄⠀⠀ ⠀⠀⠀⢠⣻⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢹⠀⠀ ⠀⠀⠀⢸⣿⣿⠇⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⠀⠀ ⠀⠀⠀⣸⣿⡏⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀ ⠀⠀⠐⣿⡟⠁⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡇⠂⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀ ⠀⢀⣾⡏⠀⠀⠀⠀⠀⠀⡰⠁⣀⢀⣤⣴⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀ ⠀⢸⠏⢀⠀⠀⠀⠀⢀⣰⠃⠠⣵⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⣆⠀ ⠀⡍⢄⠀⡀⠀⠀⣠⠞⢸⡀⠀⠉⠛⠉⠀⠀⠀⠀⠀⠀⠀⣠⡞⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠙⠄ ⠀⠡⡀⠈⠁⣠⡶⠃⠀⠀⠣⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠃⡇⠀⠀⠀⠀⠀⠀⠀⢸⠁⢇⠀⠀ ⠀⠀⣿⣶⡿⠏⠀⠀⠀⠀⠀⠀⠑⠤⠤⠤⠤⠖⠊⠁⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⢀⡇⠀⠸⠀⠀ ⠀⠀⡟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠰⠀⠀ ⠀⠀⢡⢻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀ ⠀⠀⠸⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠈⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠃⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⣸⡁⠀⠀⠀⠀⠀⠀ ⠀⠀⡃⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡏⠸⠀⠀⠀⠳⣷⠀⠁⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⡇⠀⠀⠀⠈⡞⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡌⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⣠⠃⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⢁⡯⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠁⠀⠀⠀⠀⠀⡰⠁⠀⠝⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⢸⣁⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠼⠆⠀⠀⠀⠀⠀⠀⠀ ⢀⡈⢸⡈⠂⠙⢔⠀⠀⡀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⢀⡜⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀ ⢘⡷⠸⡇⠀⠀⠈⢧⡀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⣠⠊⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀ ⢸⠀⢠⡇⠀⠀⠀⠈⠻⣦⣄⠀⣸⢡⠇⠀⠀⢀⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⢸⠀⣼⠇⠀⠀⠀⠀⠀⠹⢿⣿⠃⠆⠁⠀⠔⣾⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠸⡇⢻⠀⠀⠀⠀⠀⠀⠠⢸⠋⢠⠀⠀⠈⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀ ⠀⠗⢸⠀⠀⠀⠀⠀⠀⢀⡶⠀⠆⠃⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀ ⠀⣯⢸⠀⠀⠀⠀⠀⠀⢺⢾⡅⡄⢣⠸⢠⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⣼⡀⠀⠀⠀⠀⠃⣿⢸⡆⣿⠀⡇⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⡻⡇⠀⠀⠀⠐⡆⡷⢸⣇⣿⡁⢿⣃⣳⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢟⡇⠀⠀⠀⠀⡇⡿⢽⣿⡈⣧⣄⢷⡺⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡚⠁⠀⠀⠀⠀⢰⢗⣾⣼⡗⣎⣯⣿⠙⠁⠀⠀⠀⠀⢀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣿⣾⣿⣷⣜⡿⢷⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣮⣿⣯⡀⠐⠀⠠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣛⠛⣛⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡎⣾⣿⣿⠁⡀⠀⡠⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡿⠿⢟⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢀⣿⡯⣿⢀⠀⠀⢀⠲ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⠟⡵⠋⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⣁⣼⣿⣿⣿⡌⠁⠀⠉⣹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⢡⣞⣡⣞⢛⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢠⣮⡞⣵⣿⣿⣿⣿⣯⣦⠀⠀⢭ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢿⣿⣟⣵⣿⣿⣯⡾⣿⢿⣿⣿⣿⠿⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⠀⠀⠀⢀⣀⣸⣿⣷⣿⣿⡿⣿⣿⣯⡄⠉⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠢⣻⡍⠻⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⣼⡿⢻⠷⢸⣿⣿⣿⣿⣿⣿⠇⠖⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⠀⠀⠈⠛⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠀⣾⣟⣿⢎⠄⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⠁⠀⠀⠀⢀⣠⣤⣹⣿⣿⣿⣿⣿⣿⣿⡆⠐⠿⠏⡞⠀⣾⣿⣿⣿⣿⣿⣿⣿⠁⠀⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡟⢸⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣰⣶⣿⣿⣿⣧⣽⣿⣿⣿⣿⣿⣿⣿⣿⣶⣀⠐⣷⣷⣿⡿⣿⣿⣿⣿⢿⣿⣿⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⡁⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢰⣿⣿⣿⣿⣿⠿⢹⣃⣿⣿⣿⣿⣿⣿⣿⡟⢑⣠⣟⣿⣿⣿⣿⣿⣟⢁⣹⣿⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⠞⠁⠀⠋⠁⠁⢠⠙⠈⠁⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣹⢓⠋⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠋⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣀⣤⣶⠀⠀⠈⠁⠘⡷⢦⣄⠀⣼⣿⣺⣿⣿⣿⣿⣿⡁⢈⣸⣯⣧⠘⣿⢟⣻⡿⣿⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⡉⠓⣶⣶⣶⢟⣁⣤⣬⣟⡏⢡⣿⣿⣿⣿⣿⣇⠛⢦⣹⣿⣿⣏⣹⣶⣿⣿⣿⣿⠄⢡⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠹⣿⢿⣿⣿⣿⡿⠋⢠⣹⣁⣿⣿⣯⠛⢾⣿⣿⠷⠚⣿⣿⣟⣿⣿⣿⣿⡿⣿⣌⠆⣼⠁⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢷⣻⣿⣿⣿⡏⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠹⢻⣿⣿⡭⠀⠀⢈⡽⢯⠈⠙⠿⢿⡎⢹⣿⡄⣴⣿⣿⣿⣿⣿⣻⣿⣿⣿⠋⠁⡶⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣶⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⢀⡀⠀⠀⠰⠋⠀⠈⠳⣄⣀⡀⠀⣿⡿⣷⣿⣿⣻⣿⣿⣿⣟⣿⣿⣿⣷⠏⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡇⠉⡗⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠢⢼⣿⠛⠀⠙⢿⣾⡿⢛⣿⣿⣿⣿⣦⠜⠃⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣝⣴⣟⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠏⠀⠀⠀⠀⠘⠳⣿⣽⣿⣿⣗⣻⡆⠀⠀⠀⠀⠀⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠖⠚⣛⣿⣽⣿⢿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠀⠀⠀⠀⣹⡟⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡎⠽⠟⠉⠀⠀⠀⠀⠐⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢲⠿⣿⣿⡿⠟⢡⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣩⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠶⣤⣶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣷⡄⣠⠢⠞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢫⣡⣴⣶⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣱⡃⠀⡠⠞⢁⣠⠄ ⠀⠀⠀⠀⠀⠀⠀⢚⡹⣿⡯⢾⣟⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣷⣾⡿⠃⠀ ⠀⠀⠀⠀⠀⠀⣠⢫⣶⣟⣴⣿⣿⣿⡿⣻⣿⣿⣿⣿⣿⣯⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⡿⢷⠟⠀⠀⠐ ⠀⠀⠀⠀⠀⠀⠇⢰⣧⣿⣿⣿⣟⣡⡿⣿⣿⣿⢟⡼⢛⡞⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣤⠶⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡿⣼⡿⣹⣿⣿⣿⠟⢟⡿⠿⠭⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣏⡀⠀⠀ ⠀⠀⠀⠀⠀⠘⢦⣿⣻⣿⣿⣿⣿⡍⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣬⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣭⣿⢇⢀⡴ ⠀⠀⠀⠀⠀⠀⠈⢹⢒⣼⣿⠛⠘⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠿⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣽⠟⠉⠠ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⣼⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⣴⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣿⢳⡦⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⢁⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢰⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀ ⠀⠀⠀⠀⠙⠓⠲⢮⣿⡀⠈⡄⠀⠀⠀⠀⠀⣀⢰⣿⣿⠟⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣟⣰⣿⠗ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣥⣄⠠⠄⣀⣶⣿⣿⠟⠁⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⣳⢧⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣿⣿⠻⠀ ⠀⠀⠀⠈⠳⠦⠶⠦⠤⣄⣰⡄⠉⢽⣻⠿⠉⣿⡅⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⣰⠏⠒⢨⣿⣿⣿⣿⣿⡟⣛⣧⠀⠀⠀⠀⠀⠀⣾⣷⣶⣶ ⠀⠀⠀⠀⠀⠀⠘⠒⣾⠭⡀⢠⢀⣘⡳⠶⠂⣿⠙⠀⠀⠀⢸⠀⠀⠀⠀⡤⠀⠀⠒⣼⣦⠀⠀⠀⠀⠀⠀⠀⣰⠏⣸⡏⠀⢀⣾⣿⣿⣿⢻⣿⣿⡇⣿⣇⠀⠀⠀⠀⢰⡟⢿⣟⣋ ⠀⠀⠀⠀⠀⢀⡴⠚⠁⠀⡇⠀⢸⡁⠀⡤⡀⣹⠀⠀⠀⠀⠈⡇⢠⠴⣋⢀⣀⠀⣲⢘⣶⠀⠀⠀⠀⠀⠀⣰⠋⢰⢿⠄⠈⣻⣿⡟⣿⣿⣵⣿⣟⡄⡧⢿⠀⠀⠀⠀⣼⠁⣿⡿⣿ ⠀⠀⠀⠀⠀⠈⢑⠀⢀⣾⢅⣴⠟⣤⠀⠀⠸⡇⠀⠀⠀⠀⠀⠘⣄⡀⢨⣏⣹⣿⡿⠋⠟⠀⠀⠀⠀⠀⠀⠁⠀⠀⢸⣟⣋⡽⢯⣿⣧⣿⣿⣧⣸⣷⣷⣿⠀⠀⠀⠐⠃⠀⢻⣿⡿ ⠀⠀⠀⠀⣀⠾⠝⢃⣿⡡⠔⠂⠀⠀⠀⠠⣟⡇⠀⠀⠀⠀⠀⠀⠈⠻⢿⣻⡿⢏⢉⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠛⠀⢸⣿⣿⣿⣿⣿⣿⣿⢷⣯⠀⠀⠀⠀⠀⠀⢸⣿⣷ ⠀⠀⠀⠀⠁⠀⠐⢚⡏⢀⣼⡠⠀⠀⠠⠖⣻⡇⠀⠀⠀⠀⠀⡀⠀⠀⠀⠈⠉⠙⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣄⠀⠀⢻⣿⣿⣿⣿⣿⣿⣾⣿⡅⠀⠀⠀⠀⠀⢘⣽⡿ ⠀⠀⠀⠀⠀⠐⠀⣸⠳⣟⠿⢧⣤⣉⣙⣻⣷⡇⠀⠀⠀⠀⢠⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⠂⠀⢈⣿⣿⣿⣿⣿⣿⡿⣿⡇⠀⠀⠀⠀⠀⠀⣿⣿ ⠀⠀⠀⠀⠀⠀⠐⠉⠁⡛⣶⣿⣿⡿⣭⣿⣿⡇⠘⠄⠀⠀⠘⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣾⣿⣿⣿⣿⣿⠛⣿⣷⣿⣇⠀⠀⠀⠀⠀⠀⣿⣿ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠙⠃⣥⡉⠀⣸⡿⣿⡇⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣿⣯⣼⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⢰⣧⣿ ⠀⠀⠀⠀⠴⠒⠲⣤⣤⡴⠟⠉⣉⢼⢿⡷⢾⠃⠀⠁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠙⠁⠶⠽⠛⠛⢋⣩⣤⣽⠀⠀⠀⠈⠂⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⡿⣿⣿⣿⡿⡄⠀⠀⠀⣿⠟⠛ ⠀⠀⠀⠀⠀⠀⡀⣀⠁⠉⣡⢤⣀⠀⣐⣖⡇⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢿⣿⣿⢿⣋⠻⣟⣿⣤⣄⠀⢠⢿⣾⡉ ⠀⠀⠀⠀⠀⠀⣣⠴⢸⠾⠿⣿⣿⣿⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⢳⡍⠳⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣾⣿⣿⣷⣿⣿⣿⣿⡿⢟⡓⢯⠞⢻⡿ ⠀⠀⠀⠀⢠⡞⠀⢀⠀⠀⣀⠘⠛⠃⢬⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠀⣎⠻⣄⠀⢿ ⠀⠀⠀⠀⠨⠷⠈⠀⣀⠐⠀⠀⠀⠠⡄⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣷⢹⣄⠀⠀⢸ ⠀⠀⠀⠀⠀⠄⠀⣼⠏⡬⠈⠉⣀⠀⠑⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣷⣷⣷⣤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⡄⠒⠒⠒⠒⠒⢦⠄⠖⠊⠁⠉⠁⠁⠉⠉⠑⢆⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⠂⠁⠀⢀⣴⣯⣾⡷⣅⣋⡻⡟⣿⣷⣷⡤⣀⣀⠀⠀⠈⡂⠀⠀⠀ ⠀⠀⠀⢀⠊⠀⠀⠀⣠⢯⣡⡊⠅⠊⠀⠀⠀⠀⠀⠫⠏⡯⣻⣿⣇⠀⠀⠱⡀⠀⠀ ⠀⠀⠀⡊⠀⠀⠀⣔⡷⣟⣁⡀⡀⡀⠀⠀⠀⠀⡀⠤⠄⠤⠤⠭⣷⠓⣄⠀⡅⠀⠀ ⠀⠀⢨⠀⠀⠀⠀⣻⠇⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣄⠀⠀⡃⠀⠀ ⠀⠀⢨⠀⠀⠀⠀⣚⠉⢩⠋⣽⣿⣯⠙⠉⠀⠀⠀⠊⢋⣿⡉⠉⣻⡃⠀⠀⡃⠀⠀ ⠀⠀⠀⠑⢄⠀⠀⡿⡀⢘⣰⣿⣯⣏⣀⡀⠀⠀⠀⢀⠬⣿⠧⠤⠿⡇⠀⠀⢃⠀⠀ ⠀⠀⠀⠀⠀⢅⠀⡿⣥⠀⠈⠙⠋⠉⠁⠀⠀⡄⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠈⠡⡀ ⠀⠀⠀⠀⠀⠀⡇⠑⣧⡑⡀⠀⠀⠀⠀⠀⠰⠃⠀⠀⠀⠀⣲⡾⡅⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⢀⠅⠀⠉⢵⣈⢄⡀⠀⠀⢠⡀⣀⠀⠀⠐⡾⡏⠍⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⠫⣶⣍⣧⡀⠀⠀⠀⣨⣭⠋⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠊⠀⠀⠀⠀⠀⠀⠀⠉⢛⢿⡷⢶⣾⡯⡗⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐ ⠀⠀⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠟⠀⠀⠀⣏⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅ ⠀⠀⡃⠀⠀⠀⡠⠄⠶⠲⠦⠤⠤⣤⣿⠐⡀⠀⡏⠉⣟⣦⣤⣤⣂⡆⠝⠑⠣⢅⡅ ⠀⡊⠀⠀⠀⡎⠀⢀⡀⡉⠉⠈⠁⠁⠉⠀⠱⠤⠗⠃⣁⡀⠀⠠⠠⡄⠀⠀⠀⠀⣇ ⠀⠑⠄⠀⢠⠁⡠⠃⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⡠⠋⠁⠀⠀⠀⠀⠈⢣⠀⠀⠀⢻ ⠀⠀⠱⠀⢐⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡎⠁⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⢘ ⠀⠀⢀⠃⢨⢸⠀⠀⠀⠀⣖⣆⣦⡀⠀⠀⠀⡧⠀⠀⣀⣖⣁⣄⠀⠀⠀⢸⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⣻⣽⣿⣫⣿⣿⣿⣿⢿⣿⣿⣿⣿⢿⡯⠁⠀⠀⢀⣾⣏⣯⣟⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢼⣿⣻⣾⣳⢿⡽⣿⣿⢿⣿⡿⣿⡿⡧⠀⠀⠀⠀⡨⣽⣾⢷⣻⣾⢿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⡿⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣞⢿⣯⣷⣻⣿⣿⡿⣿⣯⣿⣾⣿⡿⠝⠀⠀⠀⠀⠠⣱⡿⣾⢯⣿⢿⣻⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣯⣷⢿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⣫⣜⣾⣞⣷⣻⣷⣻⣿⣿⣿⣿⣟⡻⠈⠀⠀⠀⠀⢀⢢⣿⣟⣷⣟⣿⣿⣿⣿⣿⣟⡿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡾⣟⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣟⣯⡵⣾⣝⣮⢷⣿⣷⣿⣿⣿⡿⠋⠈⠀⠀⠀⠀⠀⠀⣤⣻⡷⣟⡾⣽⣟⣿⣿⣿⣿⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢮⡝⣎⣳⣽⣞⣿⣾⣿⣿⣿⣿⡿⠟⣁⡀⠀⠀⠀⠀⠀⠀⢘⡮⢵⣻⣯⡟⣿⣞⣿⣿⣻⡽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣾⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⣗⣻⣷⠿⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣦⣄⣠⣙⡼⣣⣟⡾⣽⣳⢿⣟⡾⣳⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡿⣝⣯⡷⣯⣟⣽⣿⣿⣿⣿⣿⣿⣿⡿⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⢿⣳⢯⣿⡾⣵⢻⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣛⡜⠞⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠉⠈⠽⠿⠿⠻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣻⢿⡝⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢿⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡯⣫⢜⣸⣔⣻⣿⣿⣿⣿⣿⡿⠋⠁⠀⠈⠀⠀⠀⠀⠀⠀⢈⠻⣿⣿⣿⣿⣿⣿⣿⣯⣿⣝⡾⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣟⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣯⣷⣮⣟⣾⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⢹⣿⣿⣿⣿⣿⣿⣷⢿⣾⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⡿⡿⣧⢿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠄⠂⢿⣿⣿⣿⣿⣿⣿⣫⢿⣽⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣷⣿⣿⣿⣿⣿⣿⡿⠁⠠⠖⠲⠶⣶⣶⣦⠀⠀⠀⢀⣴⣶⡾⠗⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⣿⡿⣾⣿⠿⣿⣟⣿⠁⠀⠁⣠⣢⣘⣤⣲⣄⢦⠀⢀⡞⣷⣏⣓⣶⣌⣿⣿⣿⣿⣿⣿⡿⡿⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⣷⠳⣿⡏⣀⣼⣿⡏⠄⠀⠈⠉⠛⠻⠯⠾⠋⠀⠀⠈⡞⡋⠟⠯⠿⢏⢻⣿⣿⣿⣿⣷⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣇⣬⣿⡿⣻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠀⡀⢳⠈⢀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⡝⣷⣯⣿⣿⡄⢀⠀⠀⠀⠀⠀⠘⠤⣤⢦⣴⣷⠗⠀⠀⠐⣣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⡽⣯⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠘⠄⠀⣀⣀⡠⢐⠀⠀⡘⣞⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢻⣿⣿⣿⣿⣧⠀⠌⠀⠀⡔⠀⣠⣴⣿⣾⣷⣿⣿⡄⠠⡍⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢁⠀⡾⣿⣿⣿⣿⣷⡀⠀⢘⠀⠀⡈⠭⢾⣤⣷⣬⠿⢀⠃⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡯⠎⣘⣇⣿⣯⣿⣿⣿⣿⣧⡷⢄⠐⠀⠀⠀⠀⠄⠀⠐⢬⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠇⢹⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣴⠀⣞⡾⣿⣿⣾⣿⣿⣿⠙⢿⣚⣿⢦⠄⣀⢆⣠⣴⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⣿⡿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡽⠀⠀⢻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⣋⣼⢇⣿⣿⣿⣿⣿⡏⠀⠈⠁⠚⢯⡷⣝⡿⣯⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣷⣿⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⡇⠀⠀⠈⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠄⠒⠻⠿⣿⣿⣿⣿⣿⣿⡿⠅⠀⠀⠀⠀⠈⠋⠙⠖⢫⣷⣏⠈⡿⣿⣿⣿⣿⣿⣿⣿⣻⣿⢿⣾⣿⣿⢿⣷⣿⣿⣿⣿⡿⣯⢿⣵⠅⠀⠀⠀⠘ ⠀⠀⠀⠈⠆⠈⠆⠉⠉⠉⠁⠆⢀⠀⠀⠀⠈⠿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⣿⣿⡿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣷⣿⣿⣿⣿⣿⣿⣿⡿⣏⣏⠏⠀⣀⠀⠀⠀ ⠲⡸⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⠀⠈⠙⢿⠷⠬⣥⠥⠤⠀⠀⠀⠀⠈⢰⣧⡐⡍⣛⠳⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣷⢿⣏⡾⠀⠀⠀⠀⠀⠀ ⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠈⠀⠄⠀⠀⠀⠀⠀⠀⠈⢼⠯⡙⣾⣄⢋⠾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣯⣿⣿⣿⣿⡾⣿⡌⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢂⠀⠀⠀⠀⠀⠘⢓⡘⠜⣧⠎⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡿⣷⡿⣧⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠑⡎⠼⠱⢌⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣟⣿⣿⣿⣽⣳⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠑⡨⢑⠣⠌⡰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣳⡇⢒⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠂⠡⢈⠰⠀⢅⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣻⠐⣂⢤⠀⠀⠀⠀⠀⠀ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠁⠂⠀⠌⠠⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣞⠏⠶⠦⠴⠽⠖⡠⢄⡀⠀ ⠀⠄⠀⠀⠀⠀⠀⠀⢠⡜⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⡨⠀⠀⠀⠀⠀⠀⠂⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡯⡰⢠⢀⡀⢀⠀⠀⠠⠁⠀ ⡐⠈⠀⠂⠀⠀⢀⠀⢦⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⡳⡉⠁⠉⠈⠉⠀⠀⠀⠀⠀ ⠀⠂⠐⠀⠀⢀⠠⠐⣸⣇⠆⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⡷⡱⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⡁⠂⢀⠂⠄⢂⡑⣾⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣛⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⡐⠠⢁⠂⠌⡐⢢⢰⣏⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⣯⢷⣃⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⠃⠄⢌⠐⡌⢢⣽⠎⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣯⣟⡾⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⡘⠠⠌⢂⠜⣱⣏⠒⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢤⣒⡢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⢷⣯⢿⠀⠀⠀⠀⠀⠀⠀⠀ ⡐⠄⡡⢊⠔⣊⣿⢎⠅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡽⢧⣶⣝⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣿⣯⣟⡆⠀⠀⠀⠀⠀⠀⠀ ⠄⣊⠰⠈⢦⢹⣛⡎⢒⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣟⣾⣟⡇⠀⠀⠀⠀⠀⠀⠀ ⠂⡔⢨⡑⢪⡇⠼⣉⠆⡁⠀⠀⠀⠀⠀⠀⠀⡀⠀⠄⢀⠂⠄⠂⠄⠂⢀⠐⠠⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠢⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⡇⠀⠀⠀⠀⠀⠀⠀ ⠌⣐⠢⢜⡹⡄⢪⡑⢢⠐⢀⠀⠀⠀⠀⠀⠀⠄⢁⠊⠄⡌⠤⠡⢈⠐⠠⠈⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⣰⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⡘⠤⣉⠖⡇⢱⢠⢋⠆⡐⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈⠀⠀⠂⠁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡎⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠂⠀⠀⠀⠀⠀⠀⠀ ⠰⠱⡌⡾⠀⣈⠰⢌⡊⠔⠡⠀⡀⠁⠠⠀⠀⡀⠡⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠆⠀⠀⢀⠐⠆⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⠀⠀⠀⠀⠀⠀⠀⠀ ⢃⡳⢜⡇⠐⠐⡈⢦⣉⡜⢠⠑⠠⢈⠐⠀⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠺⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⢪⢴⣫⠁⠀⠀⢹⣂⠖⣡⠒⢌⡁⠂⡄⠡⠐⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠄⠂⠐⠀⢀⠠⢈⠐⡘⡃⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡅⠀⠀⠀⠀⠀⠀⠀⠀ ⢃⠻⣬⠀⣀⢰⢄⠫⡜⢤⡉⠆⡌⢡⠐⠠⢀⠡⠐⠀⡐⠠⡀⢄⡐⠠⠌⡐⠠⠁⠄⡐⠁⡀⠄⠂⡄⢣⡜⠀⠀⠀⠀⠀⢹⣿⡏⣿⣿⡿⡹⡟⣿⣽⡟⣽⢹⣿⢹⣏⣿⣿⣿⣿⠀ ⢊⠵⡩⢆⠌⢰⣡⡦⠌⠑⠌⢆⡉⢆⡑⢂⠔⡀⢌⡐⢄⠣⡑⢄⢂⠃⢆⠠⠑⠈⠃⡐⠠⠐⡈⠔⣌⠗⢄⠀⠀⠀⠀⠀⠘⣿⣷⣿⣿⣾⣷⣿⣿⣿⣿⣿⡚⠟⠚⠓⠛⠛⠛⠛⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣴⣤⣴⣶⣶⣶⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣽⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣟⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⡿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠿⡿⠟⠿⢹⡛⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣷⡅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⣿⣿⡟⠀⠆⠐⡈⠄⡉⠙⢌⣸⡝⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣻⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡟⢀⠀⠠⠁⡀⠐⠠⠁⢂⠠⠀⠍⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡯⠀⠀⠀⠐⢀⠈⠄⡐⠀⠂⠡⠘⠰⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⢿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⢁⠀⠀⢀⠂⠄⠂⠠⢀⠁⣤⣶⣷⠿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠺⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣻⣿⣿⣿⣿⠛⠻⠿⢶⠶⣌⠠⠁⠄⠚⣛⣱⣶⣾⣿⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣧⣾⣿⢿⣿⣷⣦⠀⢀⠣⠘⡿⠧⠿⠟⡛⠇⡿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣻⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣧⠈⠌⠛⠉⡉⠁⢀⠀⠄⢃⠀⢂⠐⠀⠐⡈⠔⢫⠻⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣷⠀⠄⠠⠐⠀⠁⠀⠄⡊⣀⠐⡀⠠⢈⠐⡀⠌⢠⠙⣼⢻⣿⣿⣿⣿⣿⣿⣶⣽⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣖⠈⠠⠁⠌⡖⠀⠂⢀⠉⢧⠄⡁⠂⡐⠠⠈⠄⢊⠔⣫⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣯⣿⣿⣿⣿⣿⣿⣿⣦⠀⠈⡐⠑⠣⢃⡜⡩⠋⠠⢀⠂⠄⠡⢈⠐⡈⠰⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⢀⣰⢒⢓⣐⣡⢐⢀⠠⠈⠐⡀⠂⢌⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⡾⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠾⡿⠿⢬⠶⢓⠛⡋⠡⠠⠁⡄⢡⣢⢟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⠸⢀⣆⣶⠆⠏⡀⠁⠆⢁⠰⣶⠏⡿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠄⠂⠌⠐⡀⠡⢈⡴⡞⡥⣛⢼⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢊⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠌⢠⢁⡤⢵⢋⡒⡱⢜⡱⢎⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣯⣯⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣦⣽⣴⣦⣐⣬⣂⣥⣵⣾⠿⢟⡻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⠎⣧⠈⡭⢉⠛⢓⠋⡍⢅⠢⢌⠸⣐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣝⢎⡞⡱⢈⠖⣡⠚⣌⠲⡜⢦⢣⡜⣰⡟⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⡇⠀⠀ ⠀⠀⠀⠀⠄⠀⠀⠀⢀⣺⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡛⣍⠳⠌⡱⡈⠆⡌⡑⡈⠞⡡⢋⠄⡃⠜⣈⠓⢜⠩⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡇⠢⡀ ⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡹⢦⡙⡴⣘⠦⡱⢉⡒⢡⢂⠱⡈⠱⣈⠲⣁⠎⣄⢊⡬⢋⡅⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣅⢈⠄ ⠀⠀⠀⠀⠀⣼⣻⢿⣽⣿⣿⣿⣿⣿⣿⣿⡿⢋⠖⡉⢆⡙⠰⣁⠚⡄⢣⠘⡄⢊⠔⡡⠑⣄⠣⢆⢓⠌⠦⡑⢣⢐⠡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⡤⠁ ⠀⠀⠀⠀⢀⡷⣻⡿⣯⣿⣾⣿⣿⣿⡿⢋⠔⠁⢂⠐⠠⡀⠡⢀⠂⠌⡀⠆⠘⡀⠎⡐⠩⣀⠣⠘⡄⢊⠔⡁⢂⠌⡒⠩⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⢇⠃ ⠀⠀⠀⠀⠀⣵⣿⣟⣿⣿⣿⣿⡟⢋⠔⠀⠠⠈⠀⠠⢁⠰⢁⠢⠡⠌⡐⠠⢁⠐⠤⢈⡑⢠⢂⠱⡈⠆⡂⠜⡀⠆⣀⠃⠌⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣶⣿⣿⣿⠂⢀ ⠀⠀⠀⢀⣾⣿⣯⣿⣿⣿⠟⠣⠈⠄⠀⠐⠀⡐⠈⡀⢂⠐⠂⡁⠆⠂⡄⡁⠂⠈⠐⠠⠈⡔⢈⢂⡑⠢⡑⢄⠑⡠⢀⡐⢈⠡⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⡇⡡⠀ ⠀⠀⢀⣿⣯⣿⣽⣿⣿⠏⠈⠀⠀⠀⠀⠄⠂⣀⠡⠐⠠⢉⠐⡐⢈⠐⠀⠀⠀⠂⠁⠄⠡⠐⡌⢄⠂⡑⠄⣂⠂⠔⡀⠐⡀⢂⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢒⡃⠀ ⠀⠀⠸⢯⡇⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠐⠠⢀⠂⡁⠢⠐⡐⢀⠆⡈⠐⠀⠀⠀⠐⠀⠡⠑⡈⢄⠊⡄⡑⢠⠈⠔⠠⠁⠔⡈⠤⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢦⣀⠀ ⠀⠀⠀⠊⣿⣸⣿⣯⠏⠀⠀⠀⠀⠀⠠⢁⠂⠄⢂⠐⠡⡁⠔⢂⠐⡠⢁⠀⠀⠀⠀⠈⠄⠡⢂⠂⡑⢠⠂⠅⡌⡈⠆⢡⠒⢠⠢⣋⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣣⠍⠁ ⠀⠀⠀⠀⢻⣟⣷⠏⢀⡤⠖⠀⢀⠠⠁⠄⠂⠌⢠⠈⢡⠐⡈⠆⡈⠔⠠⠀⠀⠀⠀⠀⠌⠁⢄⢂⣡⣂⡜⠠⡐⠠⡑⠂⡌⡐⢢⢥⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⡹⢛⣦ ⠀⠀⠀⠀⠀⢻⠇⢠⣳⢞⡅⠂⠠⠐⡀⢂⠡⠈⠄⠊⠤⠘⣀⠂⢅⠊⢡⠐⠀⠀⠀⠂⠌⡐⢠⡟⢇⡾⣜⠣⠄⡑⠠⠡⠐⢌⠒⣜⢾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⡟⠀⢱ ⠀⠀⠀⠀⠀⡤⠀⠻⠗⠡⢀⠌⠠⠁⠄⢂⠐⡈⠄⠡⠌⠒⠠⡉⠤⠉⡄⠀⠀⠀⠄⡁⠢⠠⠉⠟⢯⡖⡭⢉⠐⠠⠁⠅⢊⠄⡩⣜⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣗⡸⡆⠈ ⠀⠀⠀⠀⠀⢃⠀⠀⠀⢂⠡⢈⠐⠡⠈⠄⢂⠐⠨⡐⢈⠜⠠⠄⢃⠡⠠⠁⠠⢈⠐⠠⢁⠡⠊⠌⡐⠠⡐⠡⢈⡐⢉⡐⠂⡌⢰⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠟⣠⡏⠠ ⠀⠀⠀⠀⣠⣿⡆⠀⠀⢂⠆⡁⠎⢄⡉⢄⠃⢌⠐⡀⠂⠌⡐⠈⠄⡂⠡⢈⠐⠠⡈⢅⢂⠡⡘⢠⠑⡐⠠⡁⠢⢐⠂⠤⢁⠂⢧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣓⣮⢇⠀ ⠀⢀⣰⣻⢿⣿⣿⡀⠐⢢⠘⣄⠣⢂⠔⠂⡌⢂⠂⠡⢈⠐⢠⠉⡐⢠⢁⠂⡌⢡⠐⡌⢂⠆⡱⢀⠎⢠⠑⡠⢃⠢⡘⢄⢃⡞⣽⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠮⡽⢂⠁ ⢠⣾⠿⣽⡾⢻⢟⢻⣄⢃⡚⢄⠣⢁⠊⠔⡠⠃⢌⠐⠂⢌⠂⠆⡐⢀⠂⠔⡈⠆⡱⢈⡒⠜⡤⢃⡜⠤⣃⠴⣁⢦⡑⡮⢞⡹⡜⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢩⡏⣷⢈⡐ ⡿⢣⢿⠋⠀⠏⠁⣺⡝⠀⠀⠀⠌⠠⢉⡐⢡⠘⡀⠎⡈⠤⢉⢂⠰⢈⠂⡜⠠⡑⢄⠣⡘⠬⣐⠣⢌⠓⣌⠲⡑⢎⡱⠙⢆⢣⡝⣾⣿⣿⣿⣿⢿⣿⣿⣿⣿⡟⣦⢑⡛⠆⡄ ⢓⠰⡄⠀⠐⡆⠀⣝⢮⠀⠀⠀⠠⠑⡠⢂⠅⡊⠔⡡⠘⡄⠣⢌⠐⣂⠡⠄⢃⠔⡈⢆⡑⢢⠁⠎⡄⢋⠄⡃⣿⠫⢻⢻⣿⢟⢿⣫⣿⠻⣻⠻⢽⢻⡻⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠢⡈⡢⡇⡇⠐⣎⡻⠀⠀⠀⠂⡡⠰⡁⢎⡰⢃⠖⡡⢌⡱⠌⡒⢄⠣⡘⢢⠘⡐⢢⠘⡤⢉⠒⡌⢆⠱⢂⠿⠾⠾⠾⠿⣶⢾⣾⣿⣾⡾⠞⠿⠞⣷⣿⣿⣿⣿⣿⣿⣿⠧
#wfsn #ytidun #modesty #exhibitionism #swimsuit #bikini #raewmiws #raewrednu #gnoht #undergarment #panties #clothing #lingerie #seidnu #stnaprednu #bra #breast #lrig edun #dot art #text art #ascii art