⠀⠀⠀⠀⠀⠀ ⣤⢔⣒⠂⣀⣀⣤⣄⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⣿⠋⢠⣟⡼⣷⠼⣆⣼⢇⣿⣄⠱⣄ ⠀⠀⠀⠀⠀⠀⠹⣿⡀⣆⠙⠢⠐⠉⠉⣴⣾⣽⢟⡰⠃ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣦⠀⠤⢴⣿⠿⢋⣴⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡙⠻⣿⣶⣦⣭⣉⠁⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠈⠉⠉⠉⠉⠇⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠀⠀⣘⣦⣀⠀⠀⣀⡴⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⢻⣿⣿⣿⣿⠻⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠫⣿⠉⠻⣇⠘⠓⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⢶⣾⣿⣿⣿⣿⣿⣶⣄ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣿⣿⣿⣿⣿⣿⣿⣧⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠙⠻⢿⣿⣿⠿⠛⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡁⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠁⠀⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠹⡝⢢⡔⠟⠀ ⠀⠀⠀⠀⠀⠀⠛⣤⠘⣧⣤⠿⠨⣅⠀⠀⡄⠀ ⠀⠀⠀⠀⣠⠀⠀⣿⣴⠻⠉⠀⡰⠛⡞⠘⣅⠀⣤⠀⠀ ⠀⠀⠀⠀⠈⡼⢅⣿⡿⡕⠀⠈⢇⡳⡝⢖⢿⣀⡁ ⠀⠀⠀⠐⣧⡟⠎⢻⢏⡟⠐⠀⠄⣹⠙⠠⡻⢿⢷⠤⣧⠀ ⠀⠀⢰⡖⠱⢁⡡⠄⠈⠀⠀⠀⠀⡉⠠⠄⠁⠹⡃⢩⢷⡄ ⠀⢠⣟⡰⢠⡏⠀⠀⠀⠀⠑⣠⠟⠀⠀⠀⠀⡑⡀⣟⠿ ⠖⢜⢫⡁⣥⠆⠀⠀⠀⠀⠀⠒⠀⠀⠄⠀⢁⡿⡀⢱⡓⣶⠀ ⠀⠸⢿⡅⠸⡇⢕⠄⠀⠀⠀⠀⠀⠀⠠⢰⡾⣿⠣⢱⢇⡉⠀ ⠀⠀⣶⠢⡀⠊⠻⣶⠀⠀⠀⠀⠀⠴⣠⣡⡞⣵⣶⢋⠈ ⠀⠈⠟⡃⢶⣟⣂⠊⠳⣦⡠⢀⠰⡢⠚⠡⢸⣽⡃ ⠀⠀⠀⠀⠀⠮⣘⠊⡤⡈⢫⣿⡞⢀⣶⣕⠈⠚⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢷⣧⡅⠛⣴⠞⠞⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡩⣼⢮⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠁⠀⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠹⡝⢢⡔⠟⠀ ⠀⠀⠀⠀⠀⠀⠛⣤⠘⣧⣤⠿⠨⣅⠀⠀⡄⠀ ⠀⠀⠀⠀⣠⠀⠀⣿⣴⠻⠉⠀⡰⠛⡞⠘⣅⠀⣤⠀⠀ ⠀⠀⠀⠀⠈⡼⢅⣿⡿⡕⠀⠈⢇⡳⡝⢖⢿⣀⡁ ⠀⠀⠀⠐⣧⡟⠎⢻⢏⡟⠐⠀⠄⣹⠙⠠⡻⢿⢷⠤⣧⠀ ⠀⠀⢰⡖⠱⢁⡡⠄⠈⠀⠀⠀⠀⡉⠠⠄⠁⠹⡃⢩⢷⡄ ⠀⢠⣟⡰⢠⡏⠀⠀⠀⠀⠑⣠⠟⠀⠀⠀⠀⡑⡀⣟⠿ ⠖⢜⢫⡁⣥⠆⠀⠀⠀⠀⠀⠒⠀⠀⠄⠀⢁⡿⡀⢱⡓⣶⠀ ⠀⠸⢿⡅⠸⡇⢕⠄⠀⠀⠀⠀⠀⠀⠠⢰⡾⣿⠣⢱⢇⡉⠀ ⠀⠀⣶⠢⡀⠊⠻⣶⠀⠀⠀⠀⠀⠴⣠⣡⡞⣵⣶⢋⠈ ⠀⠈⠟⡃⢶⣟⣂⠊⠳⣦⡠⢀⠰⡢⠚⠡⢸⣽⡃ ⠀⠀⠀⠀⠀⠮⣘⠊⡤⡈⢫⣿⡞⢀⣶⣕⠈⠚⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢷⣧⡅⠛⣴⠞⠞⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡩⣼⢮⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠁⠀⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠹⡝⢢⡔⠟⠀ ⠀⠀⠀⠀⠀⠀⠛⣤⠘⣧⣤⠿⠨⣅⠀⠀⡄⠀ ⠀⠀⠀⠀⣠⠀⠀⣿⣴⠻⠉⠀⡰⠛⡞⠘⣅⠀⣤⠀⠀ ⠀⠀⠀⠀⠈⡼⢅⣿⡿⡕⠀⠈⢇⡳⡝⢖⢿⣀⡁ ⠀⠀⠀⠐⣧⡟⠎⢻⢏⡟⠐⠀⠄⣹⠙⠠⡻⢿⢷⠤⣧⠀ ⠀⠀⢰⡖⠱⢁⡡⠄⠈⠀⠀⠀⠀⡉⠠⠄⠁⠹⡃⢩⢷⡄ ⠀⢠⣟⡰⢠⡏⠀⠀⠀⠀⠑⣠⠟⠀⠀⠀⠀⡑⡀⣟⠿ ⠖⢜⢫⡁⣥⠆⠀⠀⠀⠀⠀⠒⠀⠀⠄⠀⢁⡿⡀⢱⡓⣶⠀ ⠀⠸⢿⡅⠸⡇⢕⠄⠀⠀⠀⠀⠀⠀⠠⢰⡾⣿⠣⢱⢇⡉⠀ ⠀⠀⣶⠢⡀⠊⠻⣶⠀⠀⠀⠀⠀⠴⣠⣡⡞⣵⣶⢋⠈ ⠀⠈⠟⡃⢶⣟⣂⠊⠳⣦⡠⢀⠰⡢⠚⠡⢸⣽⡃ ⠀⠀⠀⠀⠀⠮⣘⠊⡤⡈⢫⣿⡞⢀⣶⣕⠈⠚⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢷⣧⡅⠛⣴⠞⠞⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡩⣼⢮⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋