My Drawing As Dot Art:3 Emojis & Text

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠶⠶⠶⠶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠉⠀⠀⢀⣀⡀⠀⠉⠛⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣼⠇⠀⣠⣶⣿⣿⣿⣿⣿⣦⣄⠀⠹⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠇⠀⣴⣿⢿⡿⣿⣿⣿⣿⢿⡿⣷⡀⠘⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⡏⠀⢰⣿⣿⢸⣿⣿⣿⣿⣿⣿⡇⣿⣷⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠁⠀⣼⣿⣿⢸⣿⣿⣿⣿⣿⣿⡇⣿⣿⡇⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡇⠀⠀⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⡇⣿⣿⣷⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⣿⣿⣿⣘⣛⣻⣿⣿⣿⣟⣃⣿⣿⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣧⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣧⡀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣹⡷⠀⠙⢿⣿⣿⣿⣿⣿⣿⠟⢋⣠⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡾⠏⠀⠀⠀⠀⠈⠛⢦⡠⠛⠁⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⣀⠀⠈⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡟⠀⠀⠀⠀⣴⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⢹⣆⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⠀⢰⣿⣿⡿⣿⣻⣿⣿⣷⣶⣄⢀⠀⢹⣆⠀⠀⠹⡄⢀⣤⡀⠀⠀⠀⠀⠀⠀ ⢸⣉⣙⣛⣛⣛⣛⡿⢟⣛⣒⡓⠒⢒⣓⡒⠛⣿⢻⠻⠿⠿⠿⠿⣖⡖⣿⠿⢿⣇⣀⣀⣀⣀⣠⡀ ⣾⠀⠀⠀⠉⢉⣩⣏⣏⣩⠿⣿⠭⣍⠉⢫⣍⡟⠛⠲⠶⠶⢶⡶⠶⠤⢿⠒⠺⠷⢿⡞⠙⠻⠿⠇ ⢿⣤⣤⠖⠚⠉⠛⢻⡇⠀⠸⡷⢤⣾⡥⣞⡟⡇⠀⠀⠀⠀⢸⣇⠀⠀⠘⢲⡦⠔⠚⠁⠀⠀⠀⠀ ⠈⠁⢻⣄⠀⠀⠀⢀⣹⡷⠚⠁⠸⣿⣿⣿⣇⣧⠀⠀⠀⠀⢰⣿⣄⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠛⠒⢻⡟⠛⠻⠦⢤⣄⣿⣿⣿⣿⣽⠦⠴⠖⠚⢻⡇⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡟⠶⢤⣄⣀⣀⣏⠀⠀⢀⣇⣀⣀⣴⠶⠾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣟⠀⠀⠀⠀⠀⠀⠐⡖⠒⡟⠁⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢸⠇⠀⢿⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣇⠀⠀⠀⠀⠀⢀⡾⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⣀⣴⣏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣿⣿⣶⣶⣿⡄⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠘⠻⢿⣿⣿⡿⠿⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⠿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣤⣄⣠⣤⣤⣧⣤⣤⣤⣶⣼⣟⣛⣸⡄⣇⣠⣄⠀⢀⣤⣤⢀⣤⣄⣤⣤⣤⣄⠀⠀⠀ ⠀⠀⠀⢸⣧⣾⡻⣿⡇⠏⡿⡀⠟⠿⢽⡇⠉⠼⠇⢟⡿⠯⠱⢛⠿⡷⣻⢼⢏⡯⡻⣝⡏⠀⠀⠀

⠀⠀⠀⠀⠀⣀⠤⠐⠒⠒⠢⠄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⡰⠊⠀⠀⢀⠀⢠⠀⠀⠀⠑⠄⠀⠀⠀ ⠀⠀⡘⠀⡀⡠⠇⠘⠒⠒⠂⠼⡀⡄⠘⡄⠀⠀ ⠀⠀⡇⠠⠃⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⡇⠀⠀ ⠀⠀⣇⢃⣰⣾⣷⣆⠀⢀⣚⣿⣿⣒⣡⡇⠀⠀ ⠀⢴⢿⠈⠸⢿⡿⠙⠀⠘⠹⠿⠿⠊⠸⢏⠄⠀ ⠀⢈⣽⣃⠀⠀⠀⢀⣤⣤⠄⠀⠀⢠⣿⣅⠀⠀ ⣎⠀⠹⢹⠑⠠⣀⠀⠉⠉⠀⡀⠔⢹⠛⠁⢈⡆ ⠀⠁⠒⠓⠃⢀⠤⣔⢛⢝⣛⡶⢤⡘⠒⠊⠉⠀ ⠀⠀⠀⠀⡰⠁⡇⠈⠒⠒⠚⠁⡎⠈⠄⠀⠀⠀ ⠀⠀⠀⢐⠣⢤⡇⠀⠀⠀⠀⠀⣣⠤⠺⡀⠀⠀ ⠀⠀⠀⣈⠿⡾⠉⠋⠹⠁⠋⢹⠙⣇⣻⡇⠀⠀ ⠀⠀⠀⡇⢸⠇⠀⠀⠀⠀⠀⠀⠀⢹⡄⢸⠀⠀ ⠀⣤⣜⣗⣾⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣩⢗⡶ ⠀⠀⠀⠈⠙⠠⡤⠤⢀⣤⡀⠤⢤⠔⠃⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⣗⣤⣾⠀⡗⠒⢺⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⠀⢸⠀⡇⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⢸⠀⡇⠀⡂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⢸⠀⣇⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡼⠿⢿⠀⡿⠿⢇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠓⠤⠜⠁⠢⠤⠜⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⡤⠴⠶⠶⠶⠶⠶⠶⢦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠟⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⢀⣠⣴⠶⠛⠛⠋⠉⠉⠉⠛⠛⠶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀⠀⠀⣠⡶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣤⡀⠀⠀⠀⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⣠⡾⢋⣠⣤⡴⠶⠶⠛⠛⠛⠛⠛⠛⠛⠳⠶⠶⣦⣤⣀⡈⠻⣦⠀⠀⠀⠀⠀⠹⣧⡀⠀⠀⠀⠀ ⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⢀⣼⠋⢰⡟⠉⠀⣀⣠⣤⡤⠤⠴⠶⠶⠶⠦⢤⣤⣀⣀⠀⠉⠻⣇⠙⢷⡀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀ ⠀⣠⡟⠁⠀⠀⠀⠀⠀⢀⣾⠁⠀⣼⠃⠀⣼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⡄⠀⢿⡀⠈⢷⡄⠀⠀⠀⠀⠈⢷⡄⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⡿⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⢸⡇⠀⠈⣷⡀⠀⠀⠀⠀⠈⢿⡄⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⢸⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠈⣷⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⢻⣆ ⢠⡇⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⢸⠇⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⣿⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⢻ ⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⣾⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢹⡆⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⢸ ⢸⡇⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⣿⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡇⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⢸ ⢸⡇⠀⠀⠀⠀⢸⣿⡇⠀⠀⢀⡟⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⢸⡇⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⢸ ⢸⠅⠀⠀⠀⠀⣿⢻⡇⠀⠀⢸⡇⠀⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠀⠈⡇⠀⠀⢸⡟⣿⠀⠀⠀⠀⠀⢸ ⢸⠀⠀⠀⠀⢰⡏⢸⡇⠀⠀⠸⠷⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠇⠀⠀⢸⡇⢸⡇⠀⠀⠀⠀⣾ ⢸⡄⠀⠀⠀⣼⠃⠘⢷⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣴⡿⠀⠈⣷⠀⠀⠀⠀⣿ ⢸⡇⠀⠀⠀⣿⠀⠀⠀⢿⡄⠈⠉⠙⠛⠛⠛⠶⠶⠶⠶⠶⢶⣶⠶⠶⠶⠶⠶⠶⠶⠖⠚⠛⠛⠋⠉⢹⡏⠀⠀⠀⣿⡀⠀⠀⠀⣿ ⢸⡇⠀⠀⢰⡏⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⢸⡇⠀⠀⢸⡇ ⠸⣧⠀⠀⢸⡇⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⢸⡇⠀⠀⣸⠇ ⠀⣿⠀⠀⠈⠻⣦⡀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⣠⡴⠟⠁⠀⠀⣿⠀ ⠀⢻⡇⠀⠀⠀⠈⠻⢷⣄⠀⠀⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠃⠀⠀⣠⡾⠋⠀⠀⠀⠀⢸⡏⠀ ⠀⠈⠿⣦⡀⠀⠀⠀⠀⠙⢷⣄⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⣠⡾⠋⠀⠀⠀⠀⠀⣠⡿⠁⠀ ⠀⠀⠀⠈⠻⣶⣄⠀⠀⠀⠀⠻⣷⣤⣼⣷⣄⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣠⣾⣏⣤⣤⡾⠋⠀⠀⠀⢀⣠⡶⠟⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠷⣦⡀⠀⠀⠈⠻⣆⠀⠙⢷⣄⠀⠀⠀⠀⣿⠀⠀⠀⠀⣠⡾⠋⠉⠉⣼⠟⠁⠀⢀⣠⡶⠟⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣤⡀⠀⠙⣷⡀⠀⠙⠷⣦⣀⣀⣿⢀⣠⣴⠞⠋⠀⠀⢠⡾⢃⣠⣴⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⣦⣌⣿⣄⠀⠀⠀⠉⡟⠛⡟⠉⠀⠀⠀⣀⣤⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢶⣤⣄⣀⡇⠀⣧⣠⣤⠶⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣴⣿⡿⠿⠛⠛⠛⠿⢿⣿⣷⣄⠀⠀⠀⠀⠀⢸⣿⣿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⡀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠏⢿⣿⡄⠀⠀⠀⠀⠀⠀ ⣸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣷⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠏⠀⠈⢿⣿⡄⠀⠀⠀⠀⠀ ⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠏⠀⠀⠀⠈⢿⣿⡄⠀⠀⠀⠀ ⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠁⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⢀⣾⣿⠏⠀⠀⠀⠀⠀⠈⢿⣿⡄⠀⠀⠀ ⠘⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠏⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⢀⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡄⠀⠀ ⠀⠈⢿⣿⣶⣄⡀⠀⠀⠀⢀⣀⣴⣿⡿⠋⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⢀⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡄⠀ ⠀⠀⠀⠈⠻⠿⣿⣿⣿⣿⣿⠿⠟⠋⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉

⠀⠀⠀⢸⣦⡀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⠻⣶⣤⡶⢾⡿⠁⠀⢠⣄⡀⢀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⣀⣼⠷⠀⠀⠁⢀⣿⠃⠀⠀⢀⣿⣿⣿⣇⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⣾⣯⣅⣀⠀⠀⠀⠈⢻⣦⡀⠒⠻⠿⣿⡿⠿⠓⠂⠀⠀⢂⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⢻⡇⣤⣾⣿⣷⣿⣿⣤⠀⠀⣿⠁⠀⠀⠀⢀⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⡿⠏⠀⢀⠀⠀⠿⣶⣤⣤⣤⣄⣀⣴⣿⡿⢻⣿⡆⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠟⠁⠀⢀⣼⠀⠀⠀⠹⣿⣟⠿⠿⠿⡿⠋⠀⠘⣿⣇⠀⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⣶⣶⣿⣿⣇⣀⠀⠀⠙⣿⣆⠀⠀⠀⠀⠀⠀⠛⠿⣿⣦⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⠿⠋⠁⠀⣹⣿⠳⠀⠀⠀⠀⠀⠀⢀⣠⣽⣿⡿⠟⠃ ⠀⠀⠀⠈⠀⢰⠿⠛⠻⢿⡇⠀⠀⠀⣰⣿⠏⠀⠀⢀⠀⠀⠁⣾⣿⠟⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⣰⣿⣿⣾⣿⠿⢿⣷⣀⢀⣿⡇⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠋⠉⠁⠀⠀⠀⠀⠙⢿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ 𐙚 -`♡´-˙✧˖°📷 ༘ ⋆｡˚˙✧˖°📷 ༘ ⋆｡˚˚˖𓍢ִ໋🌷͙֒✧˚.🎀༘⋆˚‧｡⋆🌻⋆｡‧˚⛷🧚‍♀️🛖

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⠤⠖⠒⠒⠒⠒⠒⠒⠦⠤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠑⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀⠀⠉⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠹⡄⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠙⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⢀⣿⣤⣶⣾⣿⣿⡿⡿⣿⣿⣿⣿⣿⣷⣦⣤⣀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⡏⠀⠀⠀⣀⣴⣾⣿⠿⠿⠿⠿⢟⠉⠀⡇⠈⢻⠟⠛⠛⠛⠛⠻⡿⣷⣦⣄⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠏⠀⠀⣠⣾⡿⠛⣷⠁⠀⠀⠀⠀⠘⢧⠀⣿⢠⠏⠀⠀⠀⠀⠀⠀⣧⠈⠙⠿⣷⣤⠀⠀⢻⡀⠀⠀⠀⠀ ⠀⠀⠀⡟⠀⠀⣼⡿⠏⠀⠀⣿⠀⠀⠀⠀⠀⠀⠈⢳⣿⡟⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⣿⣷⡄⠈⣷⠀⠀⠀⠀ ⠀⠀⣼⠁⠀⣼⣿⡇⠀⠀⢀⣿⣦⡶⠶⠶⠶⠒⠚⠛⠛⠛⠛⠛⠛⠉⠉⢉⡿⠛⠦⣄⠀⢸⣿⣿⣧⠀⠸⡆⠀⠀⠀ ⠀⠐⡿⠀⢀⣿⣿⡇⢀⡴⠊⠁⠈⠉⠳⠦⣄⣀⣀⣀⣀⣀⣀⣀⣀⣴⣞⣉⣀⣀⣀⣈⣑⣾⣿⣿⣿⣧⠀⢿⠀⠀⠀ ⠀⣾⠃⠀⣼⣿⣿⣷⠿⠶⠒⠒⠒⠊⠉⠉⠉⢻⡉⠉⠉⠉⠉⣽⠏⠉⠁⠀⠀⠀⠀⠀⢀⡞⢻⣿⣿⣿⠀⠘⡆⠀⠀ ⠀⣿⠀⠀⣿⣿⣿⡏⢳⣤⣀⣀⣤⣤⣤⣤⡀⠈⢳⠀⠀⠀⣰⠃⠀⣤⣶⣶⣶⣶⣿⣿⠏⠀⠘⣿⣿⣿⡆⠀⣷⠀⠀ ⠀⣿⠀⢰⣿⣿⣿⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣦⣼⣷⣀⣠⣿⣠⣾⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⣹⣿⣿⣷⠀⣿⠀⠀ ⢸⡿⠀⣼⣿⣿⣿⠤⠤⠤⠼⠿⠿⣿⣿⣿⣿⠛⡽⠸⠀⠈⣇⢹⡏⢻⡿⢿⣛⣉⡉⠉⠉⠉⠉⢹⣿⣿⣿⠀⢹⠀⠀ ⠸⡇⠀⣿⣿⣿⣿⡆⠀⠀⣀⡤⠴⠛⠉⠀⢸⣴⡇⢸⠀⠀⣿⠀⢧⣸⠁⠀⠀⠉⠙⠓⠦⣤⣠⣿⣿⣿⣿⠀⢸⠀⠀ ⠀⡇⠀⣿⣿⣿⣿⣷⣶⣯⣥⣀⣀⣀⣀⠀⠈⣿⠀⢸⡀⠀⣸⣀⣸⣏⣀⣠⡤⠤⠒⠛⢻⡿⢻⣿⣿⣿⣿⠀⢸⠀⠀ ⠀⡇⠀⣿⣿⣿⣿⣿⡎⠓⢤⡀⠀⠀⠀⠉⢹⡿⢯⣉⣉⣉⣉⣉⡟⠻⡄⠀⠀⠀⣠⠶⠁⢀⣿⣿⣿⣿⣿⠀⢸⠀⠀ ⠀⣇⠀⢿⣿⣿⣿⣿⣿⡀⠀⠙⠲⢄⡀⢠⣎⣴⣾⡿⠭⣉⡽⣷⣶⣶⣽⣆⣠⠞⠉⠀⠀⣸⣿⣿⣿⣿⡿⠀⢸⠀⠀ ⠀⠛⣦⡀⠙⠻⢿⣿⣿⣇⠀⠀⠀⠀⠙⢻⡟⠻⢭⣝⣓⠶⢛⣡⡴⠚⢻⡟⠁⠀⠀⢀⣴⣿⣿⡿⠟⠋⢀⡴⠛⠀⠀ ⠀⠀⠀⠉⠓⢦⣀⠈⠙⠻⢿⣷⣦⣤⣀⠈⢳⡀⣰⠋⠉⠉⠉⠘⢧⣀⡞⢀⣤⣴⣿⡿⠟⠛⠁⣀⡴⠚⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠲⠦⣀⣈⠉⠛⠿⠿⣾⣿⣧⣤⣶⣶⣶⣶⣾⣿⠿⠿⠛⠉⣁⣠⠴⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⠗⠲⠶⠤⡄⠉⢻⣿⣿⣿⣿⣿⣿⠁⠀⠀⠚⠉⠉⠉⠶⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⠋⠀⠀⠀⠀⠀⠀⠀⠘⣿⠉⠉⠉⠉⠁⠀⠀⢠⡀⠀⠀⠀⠀⠀⠙⢲⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠈⢳⠀⠀⠀⠀⠀⠀⠀⠘⢳⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠉⢦⠀⠀⠀ ⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⣴⠇⠀⠀⠀⠀⢘⡇⠀⠀⠀⠀⠀⠀⠀⠀⣽⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⢠⣿⣀⣀⠀⠀⠀⠀⠀⣠⠞⣿⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠙⢦⡀⠀⠀⠀⣠⡤⠒⠛⢿⡀ ⠀⢀⡟⠀⠀⠈⠙⠲⢤⣀⡼⠃⢀⡏⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⢳⣤⠖⠋⠀⠀⠀⠀⠀⣧ ⠀⢸⣇⡾⠀⡀⠀⠀⠀⠙⣷⠀⣼⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⣿⠁⢀⡀⠀⢠⠀⠘⣶⠏ ⠀⠀⠻⡇⢰⡏⠠⠶⣤⣴⠏⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠈⠻⣏⠙⠀⣨⣿⠾⠃⠀ ⠀⠀⠀⠉⠛⢧⣤⣤⡼⠃⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠈⠛⠚⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣷⠀⠀⠀⠀⠀⠀⠀⢀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⡶⢦⣤⣀⣀⠀⠀⠀⣴⣯⣼⣇⠀⣀⣀⣤⡴⠖⢻⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠈⠉⠉⡿⠁⠀⠀⢹⡉⠁⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣄⣀⡀⠀⠀⠀⢠⠇⠀⠀⠀⠸⡇⠀⠀⠀⢀⣀⡤⠼⣇⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠉⠀⠉⠙⠶⣄⣀⣼⠀⠀⠀⠀⠀⢷⢄⣠⠞⠉⠀⠀⠀⠀⠉⠹⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣅⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡆⠀⠀⠀⠀⢸⣤⣀⡀⠀⠀⠀⢀⣀⣤⡴⣾⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠲⠭⣿⣿⣿⣿⣿⡯⠽⠞⠋⠀⠀⠀⠀⠀⠈⠛⠲⠬⠭⠭⠭⠵⠖⠛⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⢤⣤⣀⣀⣀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⡿⢿⢻⣿⣟⣿⣟⣿⣿⣿⣿⣟⣿⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠓⠛⠛⠛⠛⠛⠛⠛⠻⠟⠙⠚⠻⠿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⡀⠀⣀⣀⡀⢀⣀⣀⣀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⠶⠶⠿⠿⠛⠛⠛⠛⠻⠿⠷⠶⣶⣦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⠶⠶⠾⠶⠶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠈⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⡿⠋⠀⠀⠀⠀⠀⢀⣴⡾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣷⣦⡀⠀⠀⠀⠀⠀⠙⢿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⡟⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⢀⣀⣤⣴⣶⣦⣤⣀⡀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠻⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⣠⣿⠏⠀⠀⠀⠀⠀⣠⡿⠋⠀⠀⠀⣠⣾⠟⠋⠉⠀⠀⠈⠉⠙⠻⣷⣄⠀⠀⠀⠙⣿⣄⠀⠀⠀⠀⠀⠘⢿⣆⠀⠀⠀ ⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⣴⡿⠁⠀⠀⢀⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀ ⠀⣰⡿⠁⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀⠀⠀⢻⣇⠀ ⢠⣿⠁⠀⠀⠀⠀⠀⣸⣿⣿⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⢸⣿⠀ ⣿⠃⠀⠀⠀⠀⠀⢀⣿⢹⣿⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⣼⡟⣿⠀⠀⠀⠀⠀⠀⣿⠀ ⣿⠀⠀⠀⠀⠀⠀⢸⡟⠈⣿⡄⠀⠀⠀⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠀⠀⠀⢠⣿⠁⢿⡇⠀⠀⠀⠀⠀⣿⠀ ⣿⠀⠀⠀⠀⠀⠀⣿⡇⠀⠹⣷⡀⠀⠀⠘⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⡿⠁⠀⠀⢀⣿⠏⠀⢸⣷⠀⠀⠀⠀⠀⣿⠀ ⣿⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠹⣷⡄⠀⠀⠈⠛⢿⣦⣄⡀⠀⠀⠀⣀⣠⣴⡿⠋⠀⠀⠀⢠⣾⠏⠀⠀⢸⣿⣆⠀⠀⠀⠀⣿⠀ ⣿⠀⠀⠀⠀⢀⣿⣿⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠉⠛⠛⠿⠿⠿⠛⠛⠉⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀⠸⣿⣿⡄⠀⠀⠀⣿⡇ ⣿⠀⠀⠀⠀⣸⡏⣿⡄⠀⠀⠀⠀⠀⠙⠻⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠟⠋⠀⠀⠀⠀⠀⢸⣿⠸⣿⡀⠀⠀⣿⡇ ⣿⡄⠀⠀⠀⣿⠃⢿⣷⣤⣤⣀⠀⠀⠀⠀⠀⠉⠛⠻⠷⣶⣶⣶⣶⣶⡾⠟⠛⠉⠀⠀⠀⠀⠀⢀⣠⣤⣼⡟⠀⣿⡇⠀⠀⣿⡇ ⢿⡇⠀⠀⢠⣿⠀⢸⣧⠉⠉⠛⠛⠻⠿⠷⠶⠶⣶⣶⣶⣶⣤⣤⣤⣤⣴⣶⣶⡶⠶⠶⠾⠿⠛⠛⠋⠉⣽⡇⠀⢸⣷⠀⠀⣿⡇ ⢸⡇⠀⠀⣸⡿⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⢸⣿⠀⠀⣿⠇ ⢸⣿⠀⠀⣿⡇⠀⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⣿⡄⠀⣿⠀ ⠈⣿⠀⠀⣿⣇⠀⠀⠀⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⣿⡇⠀⣿⠀ ⠀⣿⡄⠀⠙⢿⣦⡀⠀⠀⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠏⠀⠀⠀⣠⣶⠟⠁⠀⣿⠀ ⠀⢻⣧⡀⠀⠀⠘⢿⣦⣄⠀⠙⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠋⠀⠀⣠⣾⠟⠁⠀⣠⣾⠿⠀ ⠀⠈⠙⠻⢷⣦⣀⠀⠈⠻⣷⣤⣬⣻⣷⣄⡀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⣠⣾⣯⣴⡶⣶⣿⠟⠁⣀⣴⡿⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠿⣶⣄⡈⠻⢿⣍⠉⠙⠿⣶⣤⣀⡀⠀⠀⢸⡇⠀⢀⣀⣤⣶⠿⠋⠉⢀⣴⡾⠋⣡⣴⡿⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢷⣬⣛⢿⣦⡀⠀⠙⠛⠻⠿⢿⡿⢿⠿⠟⠛⠉⠀⠀⢀⣴⡿⣫⣴⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣦⣀⠀⠀⠀⢸⡇⢸⡇⠀⠀⠀⣀⣴⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣷⣤⣀⣸⡇⢸⡇⣀⣤⣾⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀

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⠀⠀⠀⠀⠀⣀⠠⠤⠀⠒⠂⠤⠄⣀⠀⠀⠀⠀⠀ ⠀⠀⢀⠔⠉⠀⣀⣤⡖⣲⣶⣤⣀⠀⠑⢦⠀⠀⠀ ⠀⠀⡎⠀⣠⠞⢉⠔⡺⠯⣗⢦⡉⠳⡄⠀⢣⠀⠀ ⠀⢰⠁⣰⠃⠀⡏⡎⠀⠀⠀⢱⢳⠀⠹⡄⠸⠀⠀ ⠀⢸⠀⡟⠀⠀⢧⢣⡀⠀⢀⠜⡜⠀⠀⣿⠀⡇⠀ ⠀⢸⢸⢷⡤⢄⣀⣑⣮⣭⣗⣋⣀⣠⣤⡟⡄⡇⠀ ⠀⣸⢸⠸⡀⠉⠉⠉⠛⣿⠋⠉⠉⠉⢀⠃⠇⡇⠀ ⠀⢸⠀⢇⢣⡀⠀⠀⠀⣿⠀⠀⠀⢀⠎⡜⠀⡇⠀ ⠀⠀⢦⠀⠣⣑⢄⡀⠀⣿⠀⢀⡠⣊⠜⠀⡼⠀⠀ ⠀⠀⢀⡱⠦⠤⠍⠉⣿⣿⣿⠉⠩⠤⠴⢎⡀⠀⠀ ⠀⡰⠁⠀⢀⣀⢀⣀⠀⡇⠀⠀⠀⠀⡀⠀⠈⢆⠀ ⢠⠁⠀⠀⣆⡧⠴⠼⠁⡇⠀⠀⠀⠀⢧⠀⠀⠘⡄ ⡎⠀⠀⡰⡇⠧⠤⠴⠂⡇⠀⠀⠀⠀⡘⡆⠀⠀⢣ ⡇⠀⠀⡇⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⢰⢸⠀⠀⢸ ⣇⠀⢀⡇⠳⡤⣀⣀⣠⣷⣀⣀⣀⢠⠞⢸⣀⠀⣸ ⡞⠉⣥⠱⣰⠓⠛⠓⠛⣶⠛⠚⠛⠻⣤⢏⣤⠈⢣ ⢷⣄⢧⠉⢹⠀⠀⢀⠀⠉⠀⠀⠀⠀⡏⠉⡜⣰⡼ ⠀⠉⠛⠀⣸⢹⠀⠀⠈⣿⠁⠀⠀⡏⡇⠈⠚⠉⠀ ⠀⠀⠀⠀⡇⡈⠀⠀⢰⢸⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡏⠁⠀⠀⢸⠀⡄⠀⠀⠉⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⢸⠀⡇⠀⠀⠀⣸⠀⠀⠀⠀ ⠀⢠⠊⠉⠁⠈⠉⠉⢺⠠⡖⠉⠉⠁⠀⠉⠑⡄⠀ ⠀⠻⢒⣠⣤⡴⠶⠶⠛⠀⠛⠦⠖⣲⣤⣤⣲⠗⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠴⠚⠋⠉⠀⠀⠀⠈⠉⠉⠛⠓⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⢠⡆⠀⠀⢠⡿⠀⠀⠀⣿⡀⠀⠸⡆⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⢠⠀⢀⣸⣧⠶⠒⠋⠉⠉⠉⠙⠛⠓⠶⢦⣽⡄⠀⣆⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⡇⠀⠀⢠⣧⠜⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠣⣼⡆⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡄⠀⠀⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⢀⡞⠁⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⠀⢹⡄⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡄⣸⠁⠀⢖⣻⣿⣿⡿⢿⣿⡦⠀⠀⠀⠀⠐⠛⢛⣗⣶⣶⣖⠿⠷⠆⢷⣠⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣷⡇⣠⣤⢾⣿⢿⣿⣿⣿⣶⣿⠀⠀⠀⠀⣶⣼⣿⡿⣿⣿⣿⡟⢿⡞⢼⣿⣧⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣶⣯⣿⡇⠘⠃⣸⣿⣿⣿⣿⣿⠏⠻⠇⠀⠀⠰⠟⠁⣿⣿⣿⣿⣵⣷⡄⠁⣸⣷⡆⢹⡄⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⡘⢷⣳⡀⠀⠉⠛⠻⠿⠿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠋⠀⠀⢀⡏⠘⣱⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⣾⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢿⣟⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⢶⣯⡷⣽⣄⠀⠀⠀⠀⠀⠀⠀⠰⣶⣿⣿⣯⣿⠖⠀⠀⠀⠀⠀⠀⣰⣿⣾⣭⣷⣄⡀⠀⠀⠀⠀ ⠀⣠⠞⠋⠀⠘⢻⡿⢿⡿⠳⣄⡀⠀⠀⠀⠀⠀⠉⠛⠟⠛⠁⠀⠀⠀⠀⠀⣠⡞⢯⡿⢿⠝⠃⠀⠉⠳⣤⠀⠀ ⠸⣿⣀⠀⠀⠀⠚⠃⠘⡇⠀⠀⠙⠳⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⠛⠁⠀⣸⡇⠈⠀⠀⠀⢀⣤⣾⠇⠀ ⠀⠀⠙⠷⠤⣄⣀⣰⣄⣹⡆⠀⠀⠀⠀⠈⠉⣉⣷⣶⡒⣲⣶⣿⣍⣁⡀⠀⠀⠠⢿⣀⣤⣀⣠⠦⠾⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⢀⣠⡶⠚⢿⣍⡀⢉⡿⢿⣀⣀⣈⣿⡏⠳⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⢧⠀⠘⢯⣙⠋⠀⠀⠉⠛⣿⡟⠀⢠⡇⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⢸⡀⠀⠀⠉⠉⠉⠛⠛⠋⠁⠀⠀⢸⠁⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡏⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠷⠦⠤⣄⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⡤⠴⠖⠻⣏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣇⣠⣄⢀⣿⡷⣦⣄⣀⣀⣀⣀⣀⣀⣀⣀⣠⣤⣶⣿⣧⠀⣠⣤⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⣿⣯⣿⡿⠁⠀⠸⠀⠈⢹⠉⠉⠙⠋⠉⠙⡇⠀⢸⡿⡏⢹⣿⣝⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡿⢦⣬⣴⢿⠇⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠻⠀⠈⢹⣿⡤⠬⠾⢿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣏⢧⠀⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⢰⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣾⡆⠀⠀⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⣀⣴⢿⠒⠦⡾⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⣿⠖⠛⠛⠷⣤⣤⣤⡀ ⠀⠀⠀⣿⣿⣿⣷⠴⢷⢠⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡼⣧⣸⡟⠲⠶⠿⠟⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣾⡇⠀⠙⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⡗⠲⠶⠶⠶⢤⣴⡶⣶⡤⠤⠶⠚⠒⢻⡏⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⡀⠀⢀⡿⠀⢸⡄⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣋⣛⣿⣛⣿⡇⠀⠸⣏⣭⣍⣭⣭⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡅⠀⠀⠀⠈⡇⠀⠈⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⡇⠀⠀⣇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⡇⠀⠀⣿⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠠⡇⠀⠀⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⢰⠁⠀⠀⣿⠀⠀⠀⢾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢿⠀⠀⠀⣿⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣀⣀⢸⡆⠀⠀⣿⣄⣀⣀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣯⣿⣯⣿⡇⠀⠀⣿⣿⣶⣾⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠛⠛⠛⠋⣷⠀⣼⠃⠙⠛⠛⠁⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⡀⠀⠀⣠⠟⠀⢿⣀⠀⠀⠀⢀⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⢁⡀⠀⠀⠉⠓⠒⠚⠋⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⠚⡄⢫⠉⢩⠃⠀⣰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⡞⠳⡜⠦⠚⠘⠒⠋⠀⢰⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠚⠁⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣤⣄⣀⡀⣠⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⠉⠉⢰⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠟⠛⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⡇⠀⡰⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠃⠀⠀⢰⡆⢻⣿⣿⣿⣿⣿⡿⠛⠛⠻⣿⣿⣿⣿⠀⠀⠀⠀⢰⠁⡰⠁⠀⠀ ⠀⠀⠀⠀⣶⣦⣤⠘⣿⣿⣆⠀⠀⢿⠇⣼⣿⣿⣿⣿⠛⢸⡇⠀⠀⠙⣿⣿⣿⣇⠀⠀⠀⠈⠒⠁⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣁⠀⠻⣿⣿⣷⣦⣤⣶⣿⣿⣿⣿⣇⡀⣾⠃⠀⠀⢠⣿⣿⣿⡇⠀⡔⠒⠲⡄⠀⠀⠀⠀ ⠀⠀⠀⠘⠛⠋⠉⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣴⣾⣿⣿⠟⠀⠀⠱⠤⣀⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⢀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⣀⡀⠀⠉⠙⠓⠀⠀⠀⠀⠀⠀⠀ ⠀⡗⡤⡲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣫⢸⢷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣰⡿⠿⠿⣷⣦⣠⣤⣾⠟⠛⠳⣦ ⡏⢀⢀⣠⣶⠟⣹⣿⠷⣦⡀⢀⢘⡇ ⢣⣤⣴⠿⠃⢀⡿⢿⡆⠈⠻⠿⠟⠁ ⠀⠀ ⠀⠀ ⣠⠃⠈⠳⡄ ⠀⠀ ⣰⡟⠁ ⠀⠀ ⣸ ⠀⠀⢰⡏ ⠀⠀⠀ ⢠⡟ ⠀⠀⠘⣇ ⠀⠀⠀ ⢸⡇ ⠀⠀ ⢿ ⠀⠀⠀⠀⠈⢷⡀

⠀⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠖⠒⠒⠒⠒⠒⠒⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠋⠀⠀⠀⢀⣀⠤⠶⠒⠒⠶⠤⣀⡀⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀ ⠀⠀⣠⠏⠀⠀⠀⣀⠔⢋⣀⣀⣤⡤⢤⣤⣀⣀⡉⠲⣄⠀⠀⠈⢧⡀⠀⠀⠀ ⠀⡼⠁⠀⠀⠀⡴⢁⡞⢉⣠⠤⠤⠴⠶⠤⠤⣌⡉⠑⡎⢣⠀⠀⠀⢳⡀⠀⠀ ⣾⠁⠀⠀⠀⡾⠁⢸⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⢷⠀⢳⠀⠀⠀⠱⡄⠀ ⡟⠀⠀⠀⢸⠁⠀⡟⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⢸⠀⠈⡇⠀⠀⠀⠹⡄ ⡇⠀⠀⠀⡏⠀⠀⡇⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⡆⠀⢹⠀⠀⠀⠀⡇ ⡇⠀⠀⢸⡇⠀⢀⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⡇⠀⢸⡇⠀⠀⠀⡇ ⡇⠀⠀⡏⡇⠀⢸⣀⣈⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣀⡇⠀⢸⢹⠀⠀⠀⡇ ⡇⠀⢠⠇⠳⡤⢤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⠏⠸⡆⠀⠀⡇ ⡇⠀⢸⠀⠀⢳⡀⠀⠀⠉⠉⠉⠉⢻⠉⠉⠉⠉⠉⠁⠀⢠⠏⠀⠀⡇⠀⢸⠃ ⣧⠀⢾⡀⠀⠀⢣⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢀⡎⠀⠀⣀⠗⠀⣼⠀ ⢹⡀⠀⠈⠲⣄⠈⢧⡀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢠⠞⠀⣠⠞⠁⠀⢀⡇⠀ ⠀⠙⢦⡀⠀⠈⠳⣄⣳⡀⠀⠀⠀⢸⠀⠀⠀⠀⣰⣋⣠⠞⠁⠀⣀⡴⠚⠀⠀ ⠀⠀⠀⠉⠳⢄⡀⠘⢦⡙⢦⣀⠀⢸⠀⢀⡤⠊⢁⡴⠃⣠⠴⠚⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠲⢬⣳⡀⠈⠙⠛⡞⠉⢀⣠⠾⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠲⠤⠓⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⢀⣀⣀⣠⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠛⠛⠋⠉⠉⠛⣷⡄ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⢀⣀⡤⣤⢤⡤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⣀⣤⣶⠿⠛⠋⠁⠁⠀⠀⠀⠉⠛⣯⣳⡀⠀⠀⠀⠀⠀⠀⢠⡿⠃ ⠀⣠⣶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡻⣿⠀⠀⠀⠀⠀⣠⡿⠃⠀ ⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠉⢹⡆⠀⠀⢸⣿⠀⠀⠀⠀⢠⡿⠁⠀⠀ ⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⠀⠀⢀⣮⠏⠀⠀⠀⠀⠘⣷⡀⠀⠀ ⠀⠙⠿⣶⣤⣀⠀⠀⠀⠀⠈⠻⢦⣤⣤⣤⡶⠟⠁⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀ ⠀⠀⠀⠀⠉⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣤⣤⣄⣀⣀⣤⡿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠈⠉⠉⠙⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢔⣶⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠗⡿⣾⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠓⡞⢩⣯⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠰⡹⠁⢰⠃⣩⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣿⠿⣉⣩⠛⠲⢶⡠⢄⠐⣣⠃⣰⠗⠋⢀⣯⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣯⣠⠬⠦⢤⣀⠈⠓⢽⣾⢔⣡⡴⠞⠻⠙⢳⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣵⣳⠖⠉⠉⢉⣩⣵⣿⣿⣒⢤⣴⠤⠽⣬⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢻⣟⠟⠋⢡⡎⢿⢿⠳⡕⢤⡉⡷⡽⠁ ⣧⢮⢭⠛⢲⣦⣀⠀⠀⠀⠠⡀⠀⠀⠀⡾⣥⣏⣖⡟⠸⢺⠀⠀⠈⠙⠋⠁⠀⠀ ⠈⠻⣶⡛⠲⣄⠀⠙⠢⣀⠀⢇⠀⠀⠀⠘⠿⣯⣮⢦⠶⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⣿⣥⡬⠽⠶⠤⣌⣣⣼⡔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⣧⣤⡴⢤⡴⣶⣿⣟⢯⡙⠒⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣗⣞⣢⡟⢋⢜⣿⠛⡿⡄⢻⡮⣄⠈⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⠮⠴⠵⢋⣇⡇⣷⢳⡀⢱⡈⢋⠛⣄⣹⣲⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣱⡇⣦⢾⣾⠿⠟⠿⠷⠷⣻⠧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠽⠞⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⡾⠛⠉⠉⠉⠉⠉⠉⠉⠛⠓⠶⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⠋⠀⠀⠀⣠⠶⠛⠉⠉⠉⠉⠙⠳⢦⣀⠀⠀⠈⠳⣄⠀⠀⠀ ⠀⠀⢀⡞⠁⠀⠀⣠⠞⠁⠀⣠⠴⠖⠒⠶⢦⣀⠀⠙⢦⡀⠀⠀⠘⣦⠀⠀ ⠀⢠⡟⠀⠀⠀⣴⠋⠀⢠⡞⠁⠀⠀⠀⠀⠀⠙⢧⠀⠀⢻⡄⠀⠀⠈⢷⡀ ⢠⡟⠀⠀⠀⣰⡏⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⣿⡀⠀⠀⠀⣧ ⡾⠀⠀⠀⢀⡟⣧⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⢀⡟⣇⠀⠀⠀⣿ ⡇⠀⠀⠀⢸⠇⠹⡄⠀⠘⣦⡀⠀⠀⠀⠀⠀⢀⡞⠁⠀⣼⠁⢻⡀⠀⠀⣿ ⣿⠀⠀⢀⣿⠀⠀⠹⣆⠀⠈⠛⠶⢤⣤⠴⠞⠋⠀⢀⡾⠃⠀⢸⣧⠀⠀⢸ ⣿⠀⠀⣸⢻⡀⠀⠀⠈⠻⢦⣄⣀⠀⠀⢀⣀⣠⠶⠋⠀⠀⠀⢸⠹⡆⠀⢸ ⢿⠀⠀⡟⠸⡟⠓⠲⠶⠤⠤⣬⣭⣭⣭⣭⣭⣤⠤⠴⠶⠖⠛⣿⠀⣷⠀⢸ ⢸⡀⢠⡇⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⢻⠀⢸ ⢸⡇⠸⣇⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⢸⠀⣾ ⠀⣧⠀⠙⢷⣄⠈⢷⡀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣠⠟⠀⣀⡴⠋⣀⡿ ⠀⠉⠛⠦⣄⡉⠷⣤⢽⣦⣀⠀⠀⠀⣿⠀⠀⠀⣠⡾⠷⣶⡾⢋⣤⠞⠉⠀ ⠀⠀⠀⠀⠈⠙⠲⣬⣳⣄⠉⠓⠲⢦⠿⡶⠒⠋⠁⣠⣾⣥⠞⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢷⣤⡀⢸⠀⡇⢀⣤⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣿⢿⣿⣿⣷⣶⣦⣤⡀⠀ ⠀⠀⢾⡻⣶⣾⣿⣿⣛⣻⣮⡉⣿⣿⣿⠟⠋⠉⠀⠀ ⠀⠀⢸⢿⢿⣿⡿⠁⣀⠀⢛⣿⣿⣿⣷⣦⣄⠀⠀⠀ ⠀⠀⢸⠈⣿⣿⠁⠀⣿⡇⢸⡏⢻⣿⣿⣿⣿⣷⡄⠀ ⠀⠀⢰⣦⣝⠁⡀⠀⢙⠡⠚⠣⣾⣿⡿⠿⠿⠿⢿⡄ ⠀⠀⠀⠈⠡⡀⠀⠀⠀⠄⠚⣰⣿⣿⣷⡄⠀⠀⠀⠀ ⠀⠀⠀⢀⡔⡈⡲⠂⠰⠶⢟⡉⠿⢿⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠫⣓⠣⢀⡣⡀⠀⡔⣹⣧⠀⠉⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⢄⣀⣀⣶⣶⠟⠛⠿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡏⢿⡏⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠉⠻⠏⣺⣷⠔⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⡒⢤⣀⡆⠀⠀⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡾⣋⣵⣾⡀⣿⣿⣶⢂⡌⣍⠆⠀⠀⠀⠀⠀⠀⠀ ⠘⠛⠛⠛⠛⠃⠉⠙⢏⣾⣧⢹⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣾⡏⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⣀⠤⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡜⢁⣴⣶⣶⣌⠳⡀⠀⠀⠀⠀⠀ ⠀⠀⡸⢁⣿⣿⣿⣿⣿⣆⢱⠀⠀⠀⠀⠀ ⠀⠀⡇⢸⣿⢿⣿⣿⢿⣿⠀⡇⠀⠀⠀⠀ ⠀⠀⢣⡈⣿⣿⣿⣿⣿⡿⢀⠇⠀⠀⠀⠀ ⠀⠀⢀⠟⠈⠛⢟⠿⠋⠒⣍⠀⠀⠀⠀⠀ ⠀⢠⠃⠀⣄⣀⢸⡇⠀⢢⠈⢆⠀⠀⠀⠀ ⡖⠒⠒⣶⢛⣛⣛⣛⣷⠶⠷⠤⣶⣆⣀⣠ ⠧⡔⠚⠻⣉⠯⣧⣿⠀⠀⢹⠉⢳⠐⠃⠈ ⠀⠉⠐⣎⡓⠀⠟⢻⠒⢒⣻⠉⠁⠀⠀⠀ ⠀⠀⢠⠃⠀⠉⠉⠉⠉⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⡌⢉⠀⠀⠀⡄⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⢠⠁⠘⡄⠀⠀⠇⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⠸⠀⠀⢃⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⢸⣶⣶⣆⠀⠀⠈⣶⣶⣿⣦⠀⠀⠀ ⠀⠀⠈⠛⠛⠋⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀ ⠀⢰⣢⣶⢶⠲⣶⠁⢾⡴⠠⣤⣴⣔⣶⠀

⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀ ⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⠉⠉⢉⣿⣿⣿⣷⣦⣄⡀⠀ ⠀⠚⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄ ⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⣿⡇ ⢀⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠈⠃ ⠸⠁⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣿⣿⡇⠈⠻⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⡇⠀⠀⠈⠙⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

.　 +⠀ ⠀ ⠀˚⠀ ⣴⠟⠉⠉⠛⢦⡀⢀⣴⠛⠉⠈⠙⠻⣄ ⠀⠀⣼⠃⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠹⣦ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡆ ⠀⠀⠀⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃ ⠀⠀⠀⠀⠀⠻⢦⣄⠀⠀⠀⠀⠀⣠⡴⠛ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣄⠶⠋ ⠀⠀⠀+. *

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⠶⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡶⠋⠀⠀⠀⢀⣠⣴⣖⣖⣒⣶⣶⣶⣤⣀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡞⠀⠀⠀⣠⣾⠟⠛⢉⣭⢴⠷⠶⢬⣉⠙⠻⢷⣦⡀⠀⠀⠸⣆⠀⠀⠀⠀ ⠀⠀⠀⣼⠀⠀⢀⣾⠟⠁⢀⡴⣋⡴⠞⠛⠓⠶⣌⠳⣄⠀⠙⢿⣄⠀⠀⢻⡀⠀⠀⠀ ⠀⠀⢀⡏⠀⠀⣾⠃⠀⠀⡾⢰⡟⠀⠀⠀⠀⠀⠈⢧⢹⡆⠀⠈⢿⡆⠀⠈⡇⠀⠀⠀ ⠀⠀⢸⡇⠀⣾⡏⠀⠀⠀⣇⢸⡇⠀⠀⠀⠀⠀⠀⣼⢸⡇⠀⠀⠈⣿⡀⠀⣧⠀⠀⠀ ⠀⠀⢸⠃⢰⢿⠃⠀⠀⠀⢹⣌⠻⣦⡀⠀⠀⣀⡴⢃⡾⠁⠀⠀⠀⢹⣇⠀⣻⠀⠀⠀ ⠀⠀⢸⠀⣸⢸⣄⣀⠀⠀⠀⠙⠳⢬⣍⣛⣫⣭⠶⠋⠀⠀⠀⢀⣀⣼⢹⠀⢸⠀⠀⠀ ⠀⠀⢹⠀⣿⠘⡷⠬⣭⣛⣓⣒⣾⣿⣿⣿⣿⣷⣶⣖⣒⣻⣿⡭⠵⣿⢸⠀⢸⠀⠀⠀ ⠀⠀⣼⠀⢿⠀⢧⠀⠀⠀⠀⠈⠉⠉⢹⣿⣯⠉⠉⠉⠀⠀⠀⠀⢠⠇⢸⠀⢸⠀⠀⠀ ⠀⠀⢻⡀⠘⣦⠘⣆⠀⠀⠀⠀⠀⠀⢸⡗⡇⠀⠀⠀⠀⠀⠀⢀⡟⢀⡏⠀⢸⠀⠀⠀ ⠀⠀⠸⡇⠀⠙⣆⠸⣦⠀⠀⠀⠀⠀⢸⡇⡇⠀⠀⠀⠀⠀⢀⡞⢀⡾⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⢻⡄⠀⠈⢦⡈⠳⣄⠀⠀⠀⠈⡇⡇⠀⠀⠀⢀⡴⠋⣠⠟⠀⠀⣰⠃⠀⠀⠀ ⠀⠀⠀⠀⠳⣄⡀⠀⠙⠲⠬⢷⣦⣤⣸⣯⣧⣠⣤⣶⡯⠴⠚⠁⠀⣀⠼⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⠽⠿⠶⠶⠦⠤⠤⣼⣼⣽⣿⣶⣤⠤⠤⠴⠶⠶⠿⢥⣀⡀⠀⠀⠀⠀ ⠀⠀⢠⡞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣦⠀⠀⠀ ⠀⢠⡟⠀⠀⠀⠀⡴⢠⠤⠤⡤⠤⣤⠈⣿⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠘⣇⠀⠀ ⠀⡾⠀⠀⠀⠀⣀⡇⣸⠶⠦⠶⠶⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⢸⡄⠀ ⢰⠇⠀⠀⠀⠀⣼⡇⣿⠀⠀⠀⠀⣇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⡿⡆⠀⠀⠀⠀⣿⠀ ⣼⠀⠀⠀⠀⣰⠇⡇⠙⠓⠒⠛⠛⠋⠀⣿⠀⠀⠀⠀⠀⠀⠀⢰⡇⢳⠀⠀⠀⠀⠸⡆ ⡇⠀⠀⠀⠀⣿⢠⡇⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣧⢸⡇⠀⠀⠀⠀⡇ ⡇⠀⠀⠀⠀⣿⠸⡆⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⣿⢸⡇⠀⠀⠀⠀⡇ ⣇⠀⠀⠀⢀⣿⠀⠹⣦⢤⣤⣤⣤⣤⣴⣿⣧⣤⣤⣤⣤⣤⣤⡾⠃⠀⣇⣀⠀⠀⢀⡇ ⣸⡏⠙⠉⠉⠹⡄⢀⡿⠦⠾⠾⠷⠴⠿⣶⡼⠿⠦⠾⠾⠷⢶⡇⠀⡼⠉⠉⠉⠙⣿⡀ ⡟⡀⠀⣾⠳⣄⣹⣼⠃⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⣿⣾⣇⡴⢛⡆⢀⡈⡇ ⢷⡳⡄⠹⡆⠈⠉⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠉⠉⢀⡼⠁⡼⣱⠇ ⠀⠙⢿⣦⣽⠀⠀⣾⠤⣤⠀⠀⠀⠓⠒⣶⡶⠒⠂⠀⠀⢰⡶⢼⠀⠀⢼⣡⣾⠞⠁⠀ ⠀⠀⠀⠀⠁⠀⠀⡿⠤⣿⠀⠀⠀⠀⢠⡏⡇⠀⠀⠀⠀⠸⡧⢼⡇⠀⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⡏⠀⠀⠀⠀⢸⡇⡇⠀⠀⠀⠀⠀⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⣰⡧⠀⠀⠀⠀⢸⠃⢻⠀⠀⠀⠀⠀⣧⣀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⠈⠀⠀⠀⠀⠀⢸⠀⢸⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢸⠀⢸⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣠⡧⠤⣤⣀⣀⡀⠀⢸⠀⢸⠀⢀⣀⣀⣀⡤⠤⢿⣄⣀⠀⠀⠀⠀⠀ ⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠈⠉⠑⢾⠃⣼⠚⠉⠉⠀⠀⠀⠀⠀⠀⠉⠙⣆⠀⠀⠀ ⠀⠀⣾⡀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡠⣾⠀⢸⡦⢄⣀⣀⠀⠀⠀⠀⠀⠀⢀⣸⡆⠀⠀ ⠀⠀⠛⠾⠭⠭⠭⠭⠭⠭⠽⠒⠚⠉⠁⠀⠀⠉⢙⡒⠺⠭⠭⠭⠭⡭⠭⠽⠞⠃⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠉⠉⠻⣦⡀⠀⠀⠀⠀⠀⣴⠞⠛⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣤⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠈⣷⠀⠀⠀⢀⡾⠃⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡇⠀⠹⢦⡤⢤⣄⡀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⣾⠁⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡴⠞⠋⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⢸⡇⠀⠀⠀⠀⠀⠀⠘⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢧⣄⡀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⠇⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⠀⠀⢀⣀⣀⣀⣱⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣤⠶⠋⠀⠈⠉⠁⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡇⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠘⠳⠛⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠸⠃⠐⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠐⠀⠀⠂⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠇⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠂⠀⢀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠀⠀⠀⠊⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡟⠋⠙⣧⠀⠀⣰⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠛⠻⡧⠀⠀⢻⣄⡀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠁⠀⠀⠘⠛⠳⢦⣀⠀⠀⠀⢀⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⡀⠀⣤⣤⣤⡄⠀⢹⡆⠀⠀⠀⣽⡷⣿⡋⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡁⠸⣇⡀⣀⡤⠀⢸⡇⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⢀⣠⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⠈⠛⠉⠀⣠⠞⠛⢳⡶⢤⣤⣤⣴⡶⠶⠶⠚⠛⢩⡿⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⢻⡁⠀⠀⠀⠙⠳⠶⠖⠛⠀⠀⠀⠀⣴⣋⣠⡾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⣰⣾⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣌⠙⠳⢶⡶⠶⠶⠞⣫⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡞⢻⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠒⠛⠛⠶⠶⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠉⠉⠀⠈⠳⣤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠂⠀⠀⠀⣤⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠤⠶⢤⣀⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠓⠛⣶⣀⠀⠀⠀⠀ ⠠⡤⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠁⠀⠀⠀⠈⠀⢑⡔⢢⠀ ⠀⠈⠐⠚⢦⡀⠀⠀⠀⠀⠀⠸⡋⠁⠀⡺⠽⠦⣒⣀⡐⢚⢢⠊⠀ ⠀⠀⠀⠀⠈⢒⢄⠀⠀⠀⠀⢀⠊⠺⢵⣭⣕⡁⠉⢂⣔⢁⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠢⡑⠤⡠⠒⠃⠀⠀⡣⢳⡩⣞⡙⣀⠘⣏⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢈⠍⡎⠀⠀⠀⠀⣠⠁⠘⣅⣔⠤⠷⢯⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠎⠀⠀⠀⠀⠐⡎⠁⠀⢀⠯⣀⢀⡀⢜⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡆⢀⠀⠀⠀⠰⣀⡀⢔⡡⣊⡄⠀⢀⡨⢤⢀⡀ ⠀⠀⠀⠀⡆⢪⠒⡷⡍⡍⢀⠂⠰⡐⣀⣈⣑⠠⠅⢂⠁⠈⡆⣀⠗ ⠀⠀⠀⠀⠀⠀⠉⠑⠣⠇⠸⠤⠔⠁⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀

⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀ ⠀⣴⠟⠛⠛⠛⢷⣄⠀⠀⢸⡟⠛⠛⠛⠛⠛⠛⣿⠀⠀⠀⠀⠀⣸⢿⡄⠀⠀⠀ ⣼⠃⠀⠀⠀⠀⠀⢻⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣰⡟⠈⢿⡄⠀⠀ ⢿⡀⠀⠀⠀⠀⠀⣸⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣠⡟⠀⠀⠈⢿⡀⠀ ⠘⢷⣄⣀⣀⣀⣴⠟⠀⠀⢸⣇⣀⣀⣀⣀⣀⣀⣿⠀⠀⢰⡟⠀⠀⠀⠀⠈⣷⡀ ⠀⠀⠉⠛⠛⠋⠁⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠓

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⣶⣶⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⣤⣤⣤⣀⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣟⣥⣴⣶⣶⣶⣶⣤⣄⠀⠀ ⠀⣰⣿⣿⣿⣿⣿⣿⣿⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠛⠀⠀ ⠘⠿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀ ⠀⣼⣿⣿⣿⣿⣇⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⢰⣿⣿⣿⡟⠁⣽⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⢸⣿⣿⣿⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀ ⠈⣿⣿⣿⡄⢸⣿⣿⣿⣿⣿⣿⣿⣦⠈⠁⠀⢀⣠⡿⠻⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠸⣿⣿⣧⠀⢻⣿⣿⣿⣿⣿⣿⣿⣇⠀⢀⣿⠛⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⢻⣿⣿⣧⡈⢻⣿⣿⣿⣿⣿⣿⣿⡀⠈⢿⣄⠀⠛⠀⠀⣨⣿⢿⣿⣿⣿⡄ ⠀⠀⠀⢿⣿⣿⣷⣄⠙⠿⣿⣿⡉⠻⢿⣧⠀⠈⠙⠿⠶⠾⠿⢿⣧⠀⣿⠁⠉⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣷⣆⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢶⣶⠿⠀⢿⡆⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣄⠉⠛⢻⣇⠀⠀⠀⠠⣤⣤⣶⣦⣤⣤⣾⣿⠇⠀⠀ ⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⠟⠁⠀⢨⣿⠀⠀⠀⠀⠈⠙⠻⢿⡿⠛⠛⠉⠀⠀⠀ ⠀⠀⠸⠿⠿⠟⠛⠋⠉⠀⠀⠀⠀⠸⠃⠀⠀⠀⠀⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⢿⡿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⣯⡿⣽⡷⣿⢿⡿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⣿⣽⣷⡟⣯⣿⣽⣯⣿⣽⠂⠀⢠⣶⣿⡟⣦⠀⣶⣶⣶⣶⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣽⣾⣻⠏⠀⠈⣿⣞⠟⢀⣴⣿⣻⢾⣽⣟⡿⣯⢿⣽⢯⣷⠀⠀ ⠀⠀⠀⠀⠀⡀⠀⡀⢀⠻⣾⡽⣷⠀⠀⠸⣻⠀⣸⣟⠾⣽⣯⠷⣻⣽⣟⡿⣾⣻⢧⠀⠀ ⠀⠀⠀⢠⣾⣇⣀⢧⣨⣇⣏⡙⠯⣧⡄⠀⣟⠀⡿⠀⠀⠈⠀⠀⢀⣿⢾⣻⡷⣟⣿⠃⠀ ⠀⠀⠀⠘⢷⡏⠐⠊⠰⠃⠈⠛⢷⡷⣄⡀⠀⠀⡅⠀⢀⣠⣶⡿⠻⠏⢛⡓⠛⠋⠁⠀⠀ ⠀⠀⢀⣤⣦⣴⡶⣶⢶⣴⣤⣀⠀⠙⢟⡿⣦⠀⠀⠀⠛⣉⣴⡴⣞⡿⣟⣿⣻⣗⣦⠀⠀ ⠀⢀⣾⡿⣽⣯⢷⠛⠈⠉⠛⠛⠂⠀⠘⢷⣻⠀⠀⠀⠒⠛⠉⠁⢻⡷⣟⣯⡿⣽⢿⡄⠀ ⣠⣿⢯⣟⣷⣻⢿⣤⣤⡤⠤⠶⣶⠆⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠉⠙⢻⣽⣻⢯⣟⡿⡄ ⠙⠋⢿⣻⣞⣯⣿⣽⠚⢁⣤⡾⠁⠀⠀⠀⣾⠀⣿⣇⠀⠀⢰⣦⣀⣠⣼⢯⣟⡿⣽⣻⢿ ⠀⠀⠀⢿⣽⠳⠏⣠⡾⣟⣷⢿⣦⣤⠀⠀⢸⡄⢸⣯⢿⣶⣻⢾⣟⡿⣞⣿⣽⣻⢯⠿⠁ ⠀⠀⠀⠀⠀⠀⠀⣿⡽⣟⣾⣯⡷⣟⣧⣤⣿⣻⡀⠹⣟⣾⡽⣿⣞⡿⣯⠃⠉⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⠻⢿⣧⣟⡿⣿⣻⢧⣟⣧⡇⠀⠘⠟⣿⣧⢿⠻⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣞⣿⣳⣿⣻⣽⢯⡇⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣾⣽⡾⠙⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⠤⠒⠒⠒⠋⠉⠉⠉⠉⠉⠓⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠁⠀⠀⣀⠤⠖⢲⠒⠶⠤⣀⠀⠀⠙⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⡴⠋⠀⢀⡴⠋⠀⠀⡰⠋⠳⡀⠀⠀⠙⢦⡀⠈⠳⡀⠀⠀⠀ ⠀⢀⠞⠀⠀⣠⠋⠀⠀⠀⡼⠁⡰⣄⠙⣄⠀⠀⠀⠹⡄⠀⠹⡄⠀⠀ ⢠⠏⠀⠀⢰⠃⠀⠀⢀⡞⢀⡜⠁⠈⢦⠈⢦⠀⠀⠀⠹⡄⠀⠘⣆⠀ ⡟⠀⠀⠀⡏⠀⠀⢀⠎⢀⡞⠀⠀⠀⠈⢧⠈⢣⠀⠀⠀⢇⠀⠀⠘⣆ ⡇⠀⠀⢠⡇⠀⢀⡞⠀⢼⣀⣀⣀⣀⣀⣈⡧⠀⢧⠀⠀⢸⠀⠀⠀⢸ ⡇⠀⠀⡼⢧⣀⣺⠤⠤⠤⢤⣀⣀⣀⣠⠤⠤⠤⠼⢃⣀⡼⡄⠀⠀⢸ ⡇⠀⢀⡇⢸⡰⡌⠉⠉⠑⠒⠒⠒⠒⠒⠒⠒⠉⠉⣹⢸⠀⢷⠀⠀⢸ ⡇⠀⢸⠀⠀⡇⢷⣄⠀⣀⣠⣤⢴⢦⣤⣀⣀⠀⣰⡏⡸⠀⠸⡄⠀⢸ ⡇⠀⠸⠀⠀⢹⠘⣌⠫⣿⣶⣿⣾⣿⣿⣧⡿⢻⡼⠀⡇⠀⠀⡇⠀⢸ ⣇⠀⢤⠀⠀⠘⡆⠹⣷⣨⠋⠀⠁⠈⠀⡁⣴⡿⠁⢸⠁⠀⢀⡇⠀⡏ ⢸⡀⠀⠙⢦⡀⢹⡀⢹⡝⣧⠀⠀⠀⢀⡷⣻⠃⢠⠇⢀⡔⠉⠀⢠⠇ ⠀⠙⢤⡀⠀⠙⢦⣳⡀⢱⣻⢿⣄⣠⡟⣧⠃⣠⣋⡴⠋⠀⣀⡴⠚⠀ ⠀⠀⠀⠉⠲⣄⠀⠳⡙⢄⡹⣌⣿⣿⡽⣣⠞⣡⠋⣀⠴⠊⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠲⢽⣆⠙⢺⠯⡟⢋⣡⠴⠓⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⢄⡠⠤⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⡇⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⢀⡠⠊⠀⠀⠀⠀⢀⠀⡇⠀⠀⠀⠀⠀⠈⠑⠠⣄⠀⠀ ⠀⠀⡙⠁⠀⠀⠀⣠⣾⣏⣿⠛⣿⣳⢄⠀⠀⠀⠀⠈⢣⠀⠀ ⠀⡘⠀⠀⠀⠀⣘⣹⣇⡿⠘⢇⢻⠹⣦⣱⣄⠀⠀⠀⠘⡆⠀ ⠠⡇⠀⠀⣠⣾⣽⣿⣭⠁⠀⠀⠈⢡⡾⣷⣾⣷⣦⠀⠀⡇⠀ ⠀⠇⠀⡸⠇⣿⣶⣿⣿⠇⠀⠀⠀⢿⣷⣿⣽⣿⡇⠣⢀⣨⠇ ⠀⣸⡀⠁⠸⡈⠙⠛⠁⠀⠀⠀⠀⠀⠉⠛⠉⡘⠀⠀⢈⡿⠆ ⠀⠀⠑⢄⠀⠑⠠⡀⠀⠀⠐⠀⠀⠀⠀⣀⠔⠁⡀⣰⡟⠀⠀ ⠀⠀⠀⠀⢱⣀⣀⠀⠈⢐⣶⠒⢶⣆⣉⣀⠤⠚⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢩⡷⠟⡏⡷⠤⢶⠇⢻⠛⢖⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡟⣀⠔⠓⠚⢦⠞⠂⠙⣄⡌⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠇⡇⠀⠀⠀⢸⢸⣍⣉⡿⡇⢨⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡟⠀⡇⠀⠀⠀⢸⠀⠀⠀⠀⡇⠀⢹⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⢀⢃⡤⠀⠀⢸⠀⠀⠀⣤⢰⠀⠀⡄⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⢸⡿⠃⠀⠀⢸⠀⠀⠀⠹⢾⠀⠀⢣⠀⠀⠀ ⠀⠀⠀⠀⢧⣀⣀⢷⡶⠶⠒⢺⠒⠒⠲⢶⡿⣄⣀⡼⠀⠀⠀ ⠀⠀⠀⠀⠀⣟⣿⢾⡇⠀⠀⢈⡃⠀⠀⢸⡇⢸⣏⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠁⢸⡇⠀⠀⢠⡆⠀⠀⢸⡇⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠘⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢈⡇⠀⠀⠀⡇⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⡇⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢰⡇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⢸⡇⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢲⢶⢶⠊⠘⠢⠶⡶⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡞⠉⢹⠀⠀⢰⠉⠉⢣⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠉⠀⠀⠀⠉⢉⠁⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣶⣬⣿⣿⣷⣦⣤⣄⣻⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣜⠻⣿⡉⠳⡦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠿⠿⢿⡄⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡾⠃⢠⠇⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣘⡄⠀⠀⢪⣍⠳⡄⠀⠀⠀⢀⣼⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣦⣴⣿⠿⡆⢹⡄⠀⣠⣼⣿⣿⣿⣿⣿⢿⡏⣿⣻⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⡠⢤⣼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣏⢻⣠⠟⠋⣤⣽⣴⡇⢸⣹⡿⢻⣿⣿⣿⡇⡌⣧⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠁⢠⠙⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠟⠛⠉⠑⢸⡇⢸⣿⣤⣼⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⢧⡘⢿⡄⠀⠀⠀⠀⠀⠀⠀ ⠛⠉⢹⣤⣶⡆⠀⢠⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣧⠀⠉⠉⣿⣿⡿⡿⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⠀⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣿⣿⡿⠀⠀⣸⢻⣿⣿⣿⣿⣿⣿⡀⠀⠈⢫⠀⠀⡀⠉⠁⠈⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠀⡾⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀ ⠾⣿⣿⣿⣧⣀⠀⣿⠀⢈⣙⣿⣿⠿⣿⣧⠀⠀⢯⣤⣤⣹⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠟⠓⠒⠚⠛⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠻⣷⠈⣿⡟⢋⡼⠁⠀⢸⣿⡄⠀⢀⣹⣽⣉⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣏⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⠋⣠⠎⠀⠀⠀⢾⣿⣿⣄⠛⢉⣟⠻⠛⠃⠀⠀⠀⡰⣿⣿⣿⣿⣿⣿⣿⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠈⠉⠁⠀⢀⡠⠾⢿⣿⡿⢿⣧⣀⠀⠀⣀⡤⠶⠂⠀⠀⠻⣿⣿⣿⣿⣿⠿⣭⣉⣓⣢⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢳⡆⣀⣈⢉⣉⡴⠖⠛⠛⠚⠋⢹⣿⣧⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠀⠀⠀⠀⠉⠁⠉⠙⠦⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⣿⣁⠔⠋⠀⠀⠀⠀⣠⠂⢀⣾⣿⣿⣷⣄⡀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣯⣀⡀⣠⡄⠀⠀⠀⢀⣤⣤⢳⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠿⠉⢀⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⣿⡿⠋⠀⠀⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣖⣿⢻⣿⣏⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⡿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣸⣿⡇⠀⠀⠀⢻⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡻⢿⣿⣿⣿⣷⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣷⠀⠀⠀⠘⣿⡀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡄⠀⠀⠀⢿⢣⠀ ⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢸⠈⣇

⣤⣤⣄⡀⠀⠀⠀⠀⢠⣤⣤⡄⠀⠀⠀⠀⢀⣠⣤⣤ ⠿⠿⣿⣿⣆⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⣰⣿⣿⠿⠿ ⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⣿⣿⡇⠀⠀ ⠀⠀⢸⣿⣿⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⣿⣿⡇⠀⠀ ⠀⠀⢸⣿⣿⡀⠀⠀⢸⣿⣿⡇⠀⠀⢀⣿⣿⡇⠀⠀ ⠀⠀⠈⢻⣿⣷⣦⣤⣼⣿⣿⣧⣤⣴⣾⣿⡟⠁⠀⠀ ⠀⠀⠀⠀⠉⠛⠿⠿⢿⣿⣿⡿⠿⠿⠛⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣶⣶⣾⣿⣿⣷⣶⣶⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠄⠒⠒⠐⠒⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠙⣈⣔⣂⠀⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀⠀⡾⡁⢠⢣⠀⠀⠀⠀⢀⠀⠀⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⢠⠀⢸⠋⠉⢸⡄⠀⡄⠀⠀⢩⡄⠀⢨⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⡆⠀⡇⠀⠀⣈⢧⠀⣧⠀⠀⢸⡇⠀⢸⠾⣣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⢀⡇⠀⠠⢤⣴⣽⡼⠢⠼⣦⣤⣼⢿⠀⠀⡸⢣⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⢸⢇⠀⠲⣶⣒⣟⡜⠀⠀⣙⣿⣹⣿⠁⠀⡇⡟⡞⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⢸⢸⡰⡇⠀⠉⠁⠀⠀⠀⠀⠉⠉⢸⠀⠀⡇⠁⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢇⢸⢸⣧⣶⡀⠀⠀⠀⠒⠂⠀⠀⠀⣌⠀⠀⣷⡀⣦⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣼⢾⡼⠏⡟⢗⣄⠀⠉⠛⠋⠀⢀⡴⡏⠀⢰⣿⣧⡟⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠉⣦⡇⠸⢛⠿⣦⣀⣠⣴⠝⢻⠁⠀⡌⡷⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⣛⠇⠀⡀⠀⢸⠀⠀⡇⠀⡌⠀⠰⠑⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠀⠤⠤⢤⣤⣔⠛⡙⡍⠀⡔⡏⠀⠀⢻⢢⠁⢠⣧⢄⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡔⠊⠁⠀⠀⡠⠤⠤⠀⠀⢨⠇⠐⠠⢧⡉⢃⡰⢉⡌⢀⡿⠣⡅⠙⠒⠂⠤⢀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⠀⠀⠀⠀⠀⠣⡀⠀⠀⡰⠉⠳⣄⠀⠀⠈⢇⡰⢩⢁⢾⣀⡤⠟⡉⠐⠒⠀⡤⠈⠑⢆⠀⠀⠀⠀⠀ ⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⡇⢀⠞⠀⠀⢠⠱⠀⠀⠀⢨⡅⡌⡎⣸⠇⠀⠀⠘⡄⠀⡔⠁⠀⠀⠸⠀⠀⠀⠀⠀ ⠠⠤⠀⡇⠀⠀⠀⠀⢀⠎⡠⠃⠀⠀⢀⣆⠃⠀⠀⢀⣾⣷⡇⢃⢻⡼⡄⠀⠀⠘⠄⢆⠀⠀⠀⠀⠂⠤⠤⠀⣀ ⢫⠐⠒⠓⠀⠤⠄⠀⣸⣜⣡⠴⠖⠋⠉⠀⠀⠀⠱⠈⢎⡝⢨⠺⣼⠯⡙⠒⠦⣄⣈⢆⣎⣀⣀⠀⠤⠤⠄⠒⠍ ⠀⠣⡀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠐⠒⠒⠠⠄⠀⡇⠀⠀⡆⣠⠌⠁⠒⠒⠒⠈⠉⠉⠀⠀⠀⠀⠀⠀⢠⠊⠀ ⠀⠀⠑⠰⠀⠠⠤⠄⣀⣀⡀⠀⠀⠀⠀⠀⢰⠀⠀⡇⠀⡀⡇⡏⠀⠀⠀⠀⠀⣀⣀⠀⡤⠤⠄⠀⢀⠐⠁⠀⠀ ⠀⠀⠀⡆⠀⠀⢀⠔⢹⠀⠈⠉⠁⠒⠂⠤⠼⡆⡰⠀⠀⡇⠰⡑⠄⠤⠒⠉⠁⠀⠀⢰⡀⠀⠀⠀⠸⠀⠀⠀⠀ ⠀⠀⢠⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢠⠀⠀⢠⠙⠁⠀⠀⠇⠀⢰⠀⠀⠀⠀⠀⠀⠀⠘⠱⠀⠀⠀⠀⡆⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⢀⠀⠀⢇⠀⠀⠀⠘⡄⠀⠘⠀⠀⠀⠀⢀⠀⠈⠀⠀⠀⠀⠀⠀⠀⡇⠀⢣⠀⠀⡠⠃⠀⠀⠀ ⠀⠀⠀⢣⠀⠀⠎⠀⠀⠀⣷⡄⠀⠀⠇⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡀⠀⠀⢀⠼⠀⠀⠀⢢⡔⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⢃⡌⠀⠀⠀⠀⠇⡎⠀⠀⢠⠀⠀⡾⠀⠀⠀⢸⠀⠤⠀⠀⡇⠀⢀⢤⠂⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⢀⠀⢏⠁⠚⢄⡀⡇⠀⠀⠀⢸⠀⠀⠀⢀⠗⠊⠀⢸⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢆⠀⠀⠀⠀⠀⢸⠀⠈⡄⠀⠀⠈⠃⠀⠀⠀⠈⠀⠀⠒⠁⠀⠀⠀⠿⡀⠀⠀⠀⠰⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⡸⠀⢠⠛⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⢡⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡆⠀⠀⠀⠀⢠⢣⠀⢇⠀⠘⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠐⠁⢀⠜⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢸⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣠⣶⣶⣤⣝⣛⣻⣭⣤⣤⣀⡀⠘⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣶⣦⣤⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣍⠹⣿⣿⣿⠛⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣾⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠉⣿⡆⠀⢻⡛⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢾⡟⠛⠛⠿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡿⢛⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡁⠠⠾⠁⠈⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣇⠀⠀⠀⠰⣭⡙⠳⣄⠀⠀⠀⠀⠀⢠⣿⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣦⣀⣀⣾⣟⣿⡀⠸⡆⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣿⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⢀⣀⣈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢿⡏⠛⣿⣿⡇⠘⣧⠀⣿⠀⢰⠾⣿⣿⣿⣿⣿⣿⣿⡟⠉⣿⢸⡿⢾⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⠏⠉⠻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣈⣷⣾⠋⣁⣰⣶⡾⠷⣿⠀⢾⣼⡿⠃⢹⣿⣿⣿⣿⣇⣼⢹⣸⣿⣹⣧⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⢸⣆⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠟⠛⠉⠁⡘⠺⣿⠀⢸⣿⣧⣤⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢰⡟⣆⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡟⠉⣿⣀⣢⣤⠀⠀⠀⣽⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⡄⠈⠙⠛⢹⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⡇⠘⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⣿⣿⠏⠀⠀⢀⣿⣿⣿⣿⣿⡼⣿⣿⣿⡏⠀⠈⠙⢿⠟⠀⠀⠀⢸⡿⠏⠩⠞⠁⠀⠁⢊⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⡇⠀⠀⠙⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⣿⣿⣿⣿⠀⠀⠀⢸⡏⠿⢿⣿⣿⣿⣼⣿⣿⣷⠀⠀⠀⢀⡶⠀⠀⣤⣀⡀⠂⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⣀⡾⠁⠀⣀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⠿⣿⣿⣿⣿⣤⡀⠀⣾⡁⠀⣀⣨⣿⡿⣿⠿⢿⣿⣆⠀⠀⠛⣵⣲⣦⣤⣽⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠉⠉⠛⢿⣷⡀⢙⣿⡿⠋⣡⠟⠁⠀⠀⣿⣿⡀⠀⠀⠈⣻⣍⡛⠉⠀⢀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣹⣇⣿⠟⢀⡴⠋⠀⠀⠀⣠⣿⣿⣧⡀⠰⡿⠿⠿⠿⣷⠶⠆⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡟⠻⣥⣤⡾⢃⠀⠀⠀⢀⣘⣿⣿⣿⣷⣄⠀⠛⠛⠊⠁⠀⠀⠀⣀⡀⠠⠞⢹⣿⣿⣿⣿⣿⣿⣿⣿⠦⢤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢀⣀⡀⣀⣀⡰⠛⠿⣿⡿⠿⢛⣿⣷⣄⠀⠀⢠⠤⠶⠟⠉⠁⠀⠀⠈⠟⣿⣿⣿⣿⣿⣿⡟⠳⢦⡤⣬⣉⣓⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⢀⣀⣙⠉⢋⣠⣴⠶⠟⠿⠟⠛⡛⠑⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⠉⠀⠀⠉⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠉⣩⠞⠋⠁⠀⠀⠀⠀⣠⠆⠀⢸⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⣀⣈⠳⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣎⠀⠀⠀⠀⡀⢀⣠⣶⣇⣀⣴⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⣀⣤⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣷⣤⣤⣤⣤⣀⣾⡿⠉⠁⢿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠁⣠⣶⣶⣿⡟⣻⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣹⣿⣿⠋⠁⠀⠀⢸⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡟⣿⠊⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⠸⣯⣿⣿⣿⣿⣿⣿⠏⠙⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢀⣷⣿⣿⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣿⣿⣿⣿⣿⣿⣷⡀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣼⣿⣿⣿⣿⡄⠀⠀⠀⠀⢹⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡦⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⠻⣇⠀⠀⠀⠀⠀⡏⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠀⠀⠀⠀⠀⢻⠘⣇⠀ ⠀⠀⠀⠀⠀⠀⢀⣼⡛⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠀⠀⠀⠀⠀⢸⠀⢹⡄

⠀⠀⠀⠀⠀⠀⣀⠠⠤⢤⠤⠤⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡠⠊⠁⠀⠀⢸⠀⠀⠀⠉⠢⡀⠀⠀ ⠀⠐⡶⠉⠀⠀⠀⢀⣤⣼⣤⣄⡀⠀⠀⠈⢦⠄ ⠀⢰⠁⠀⠀⢀⠔⡽⣿⢱⢿⡏⡟⡄⠀⠀⠈⢆ ⠀⡂⠀⢠⢴⣯⣿⣕⠒⠁⠀⢓⣿⣾⣦⡀⠀⠘ ⢿⣁⡰⠉⣼⣿⣷⣿⠀⠀⠀⢺⣿⣷⡿⡟⡀⢸ ⠘⠯⣀⠀⢣⠈⠉⠁⢀⣀⠀⠀⠉⠉⡠⠀⢁⡼ ⠀⠀⠻⢴⣄⠑⠢⢄⣀⣀⣀⡠⠄⠊⠀⡤⠋⠀ ⠀⠀⠀⠀⢀⣭⠶⡞⣯⣈⡟⣦⣤⡶⠚⠃⠀⠀ ⠀⠀⠀⠀⣾⢁⡸⠒⢥⡴⠧⠲⣈⢻⡀⠀⠀⠀ ⠀⠀⠀⢰⡌⢸⠏⠉⠗⡇⠀⠀⢸⠙⡇⠀⠀⠀ ⠀⠀⠀⡌⠀⡄⠀⠀⠀⡇⠀⠀⢸⠀⢹⠀⠀⠀ ⠀⠀⢀⠇⠀⣧⡇⠀⠀⡇⠀⠀⣦⡄⠈⡆⠀⠀ ⠀⠀⢸⠀⢀⣯⣤⣤⣤⣧⣤⣤⣽⡃⠀⡇⠀⠀ ⠀⠀⠀⣿⡿⢸⠀⠀⢀⡁⠀⠀⣿⣿⣻⠀⠀⠀ ⠀⠀⠀⠈⠁⢾⠀⠀⢰⡆⠀⠀⣿⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⢸⡇⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⢸⡇⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⢸⡇⠀⠀⢿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⡇⠀⠀⢸⡇⠀⠀⢸⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣶⡶⠊⠑⣷⣶⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠇⣀⠅⠀⠀⢇⣈⠆⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠖⠒⠒⠒⠒⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⡔⠏⢸⠈⣷⡀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⢀⡜⡘⠀⢀⠀⡇⠱⡀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠁⢠⣄⣠⢊⣘⡒⢀⠌⠀⢓⣊⡙⢄⢠⣄⠸⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢼⠀⢇⡻⡁⠑⠛⡻⢸⠀⠀⣟⠛⠊⠁⣿⢹⠀⢣⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⡄⠸⡄⡇⠀⠀⠀⠈⠀⠀⠀⠀⠀⢰⢉⠏⢀⡞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣘⡆⠈⢹⠀⠀⠀⡨⠥⢅⡀⠀⠀⡎⠉⠀⡎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠢⣄⠀⢳⣄⠈⠑⠒⠊⠁⣀⡞⠁⣤⣟⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡞⢹⠈⠳⠤⣀⡠⠞⢹⠳⡶⠇⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⢸⠀⡀⠀⠀⠀⡐⢸⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠴⠊⠙⢄⠀⠘⡄⢸⠀⠀⢀⠃⡸⠀⢀⡽⠑⠤⣀⠀⠀⠀⠀ ⣀⠤⠒⠉⠀⠀⠀⠀⠀⠑⢤⢱⡀⠀⠀⠀⢠⢃⡴⠋⠀⠀⠀⠀⠉⠒⠤⣀

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡤⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡾⠋⠀⣀⣀⣀⠈⠙⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡟⠀⣴⣿⣿⣿⣿⣿⣦⡀⠙⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡟⠀⣼⣿⣿⣿⣿⣿⣿⣯⣿⡆⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡟⠀⢸⣿⣿⢿⣿⣿⣿⣿⡿⣿⣿⡇⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣧⠀⠸⣿⣿⣾⣿⣿⣿⣿⣷⣿⣿⡇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣦⡀⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⡿⠂⠈⠻⣿⡿⠿⣿⠟⠉⢴⣞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⢹⣎⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠋⠀⠀⢀⡀⠀⠀⠀⣿⠀⠀⠀⢶⡀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣠⣏⠀⠀⢀⣾⠿⡿⢷⣾⣿⣶⣦⣀⡈⣧⡀⠀⢣⣀⣤⠀⠀⠀⠀⠀ ⢀⡷⠀⠭⠭⠭⣿⠭⢭⣭⣭⣭⣭⣽⣿⣏⠛⣛⡛⠛⢻⣛⣻⣦⣤⣤⣴⡆ ⢸⣇⣀⠤⠔⠾⢿⠋⢩⣏⣹⣆⣸⣿⠀⠀⠀⠉⡏⠉⠉⢧⣀⡨⠟⠀⠈⠁ ⠀⠉⢻⣄⠀⠀⣈⣷⠖⠁⢹⣿⣿⣿⡀⠀⠀⢀⣿⣄⣀⡼⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⢻⣏⠙⠓⠶⢼⠿⠿⢿⠗⠒⠋⢉⡇⠈⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠉⠙⠓⠲⠼⠤⠤⠼⠶⠒⠛⠉⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⡶⠒⡏⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢠⠇⠀⢧⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡼⠀⠀⠸⡄⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡇⠀⠀⠀⣇⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⢠⠇⠀⠀⠀⢸⡀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣦⣤⣤⣼⠀⠀⠀⠀⠀⢳⣤⣴⣶⣿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠘⠿⣿⣿⡿⠿⠿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠛⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢀⣀⡤⠄⡄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣽⣿⣿⠿⣿⢹⠻⢿⡏⠋⡿⢟⡿⠇⢶⣿⡿⣯⣿⣿⣿⡟⠀⠀

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⠀⠀⠀⠀⢀⡤⠐⠂⠈⠉⠉⠁⠐⠦⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⡰⠁⠘⡀⠀⣀⣀⣀⡀⡜⠀⠀⠀⡀⠀⠀⠀ ⠀⠀⡜⠀⣀⡴⠿⠿⡟⠏⡻⠛⠛⢶⢤⡀⠐⡄⠀⠀ ⠀⠸⢀⡾⠋⡇⠀⠀⣈⣴⣁⡀⣀⣸⠀⢹⣦⠰⠀⠀ ⢀⠇⣸⣇⣔⣉⣑⣤⡀⠀⠀⡠⠦⠥⠥⢾⣿⡆⠇⠀ ⢸⢀⣿⡏⢤⣤⣤⣄⣡⠀⡘⣠⣶⣶⡶⠁⢻⣷⢸⠀ ⠸⢸⣿⡇⠀⢛⡿⠿⡙⡋⠋⠟⠟⠯⢁⡀⣸⣿⠸⠀ ⠀⢸⣿⣷⢎⠡⠤⢤⣧⠧⠤⡼⠤⠒⢂⢟⣿⣿⠀⠀ ⠰⡘⠿⣿⡆⠁⠢⡾⣾⣟⣿⡲⢷⠂⠁⣼⣿⠟⡠⠀ ⠀⠈⠐⠬⢙⡳⠦⣴⣔⣉⣁⣣⡧⠶⣛⠩⠔⠈⠀⠀ ⠀⠀⠀⠀⡠⠋⠁⠀⠹⠟⠛⠃⠀⠉⠈⠐⢄⠀⠀⠀ ⠀⠀⢠⠊⠀⠀⢠⠀⠀⡇⠀⠀⠀⢃⠀⠀⠀⠑⠄⠀ ⠀⡰⣁⠀⠀⡠⡎⠀⠀⠃⠀⠀⠀⠘⡓⡀⠀⡀⠜⠆ ⠠⡥⠀⠉⢲⢀⠁⠀⠀⢸⠀⠀⠀⠀⢇⢘⣁⠀⡐⡜ ⠀⠑⠣⠭⠋⠸⠀⠀⠀⠀⠇⠀⠀⠀⠘⠀⠑⠒⠉⠀ ⠀⠀⠀⠀⠀⢇⡀⠀⠀⠀⡸⡀⠀⠀⣀⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠁⠉⠀⡜⠉⢡⠈⠉⠈⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⡔⠈⠉⠐⠤⡇⠀⠘⡤⠂⠁⠉⣰⡀⠀⠀ ⠀⠀⠀⠀⠛⠓⠒⠚⠛⠁⠀⠀⠙⠛⠓⠛⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣤⣤⣤⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢉⡉⣉⠉⣉⠋⠉⣋⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠉⠁⠀⠉⡏⠉⠈⠉⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡤⠚⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠑⢦⣀⠀⠀⠀ ⠀⠀⠀⣹⠇⠀⠀⠀⠀⠀⠀⢀⡤⣾⣾⡞⢿⣿⢿⣞⣄⠀⠀⠀⠀⠀⠘⢿⡋⠀⠀ ⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⡰⠋⣸⣯⡿⠁⣾⢻⡏⡞⣿⢳⡀⠀⠀⠀⠀⠀⠱⡀⠀ ⠀⠀⣿⠀⠀⠀⠀⠀⣠⡾⢥⣾⣏⡸⡇⠼⠋⠈⢳⣇⣿⣄⣻⡄⠀⠀⠀⠀⠀⢷⠀ ⠀⠀⣿⠀⠀⢀⣶⢿⣷⣷⣿⣷⣄⠀⠁⠀⠀⠀⠈⣡⣿⣿⣶⣭⣦⣄⠀⠀⠀⢸⡄ ⢰⡚⠋⠀⢠⠟⢸⢸⣿⣻⣷⣼⣿⡇⠀⠀⠀⠀⢠⣿⣻⣿⣤⣿⡏⡿⢆⠀⠀⣸⠀ ⢀⣿⣷⡾⠋⠀⢸⡈⠿⣟⣟⣿⡿⠁⠀⠀⠀⠀⠀⠻⣿⣿⣿⡿⠃⡇⢸⡄⠀⡟⠀ ⠀⠛⠧⡤⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⣴⣿⡄ ⠀⠀⠀⢣⣷⡀⣀⠈⠳⢄⡀⠀⠀⠈⠉⠉⠙⠃⠀⠀⠀⢀⡠⠞⠁⠀⣠⡾⠋⠈⠀ ⠀⠀⠀⠀⠙⠓⢿⡦⣄⡀⠉⠓⠦⢤⣤⣤⣤⡤⠤⠖⠛⠁⠀⠀⣀⡾⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢙⣫⣷⣶⡞⣷⣉⠀⠘⡟⢷⣤⣄⣠⣦⠗⠛⠓⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⠛⠉⣟⡀⢹⡛⠛⢛⡇⠘⡏⠚⢯⣢⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⢷⢃⣤⣰⠋⠙⠳⢵⣴⠿⠖⠊⠻⣄⡀⢳⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⡼⠀⢹⡏⠉⠉⢱⣮⣷⠀⠀⠀⠀⠈⡟⠙⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡷⠃⠀⡟⠓⠒⠒⠚⠁⡯⠀⠀⠀⠀⠀⣧⠀⣟⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠁⠀⢠⡇⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣿⠀⠈⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡿⠀⠀⢸⢁⣤⠀⠀⠀⠀⡇⠀⠀⠀⢠⣄⢹⠀⠀⠻⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⠃⠀⠀⣿⢼⡞⠀⠀⠀⠀⡷⠀⠀⠀⠈⣿⣾⡆⠀⠀⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡟⠀⠀⠀⢻⣄⣁⣀⣀⣀⣀⣧⣀⣀⡀⠀⢈⡵⠃⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⣤⣤⣤⠛⡿⡞⠚⠓⠓⠛⡟⠓⠛⠛⠻⣿⡿⣤⣤⣴⠞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣏⣿⡿⠀⣿⠅⠀⠀⠀⣌⡁⠀⠀⠀⠀⣿⣷⣯⡏⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠛⠃⢠⣿⠀⠀⠀⠀⢸⡏⠁⠀⠀⠀⣿⡇⠙⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⢧⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⠀⠀⠀⡗⡇⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠀⠀⠀⠀⣧⣇⠀⠀⠀⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⣤⣀⣄⣠⠏⠹⣔⣦⣠⣄⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠭⢭⣽⠀⠀⠀⢸⡭⠭⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡁⠀⢀⣽⠀⠀⠀⢸⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠖⠛⠛⠛⠶⡶⠒⠛⠓⠲⠤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋⠉⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠈⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣀⣠⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⣭⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣠⣦⣾⣿⣶⢴⣤⢠⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣶⠦⠀⠀ ⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⢻⣿⣿⣿⠁⣻⡟⡏⣿⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀⠀ ⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⢠⣷⢧⣿⠃⢀⣿⠇⣿⢸⠈⣿⡟⢧⡀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀ ⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⢀⣠⣾⣁⣴⣿⡋⠰⣿⢠⡾⠋⠀⢹⣾⣀⣿⣇⡘⢷⡀⠀⠀⠀⠀⠀⠀⠈⣧⠀ ⠀⠀⠘⡇⠀⠀⠀⠀⣠⣴⣿⣭⣤⣾⣿⣏⠉⠙⠿⠀⠀⠀⠀⠈⠻⠻⣿⣿⣍⣉⠻⣦⡀⠀⠀⠀⠀⠀⢿⡆ ⢀⣀⣸⡇⠀⠀⢀⣾⣿⢹⣿⣿⣿⣿⠛⢿⣷⡄⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⠿⣿⣯⢿⣦⡀⠀⠀⠀⣼⡇ ⢸⣯⠉⠀⠀⢠⡿⠁⢿⣸⣿⣯⣹⣿⣷⣿⣿⡇⠀⠀⠀⠀⠀⠀⢾⣿⣍⣿⣷⣶⣿⣿⢸⡏⢧⠀⠀⠀⣿⠀ ⠈⣹⣿⣷⣾⡏⠁⠀⢻⡇⢻⣿⣛⣿⣻⣿⡿⠃⠀⠀⠀⠀⠀⠀⠈⢿⣿⢿⡿⢿⣿⠟⣸⡇⢸⣇⠀⠀⡿⠀ ⠀⢿⣻⣍⣁⠀⠀⠀⠈⣧⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⢀⡿⠀⠀⠁⢀⣸⣷⠀ ⠀⠀⠈⠙⡟⣤⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠠⣤⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⢠⡾⠀⠀⠀⢀⣴⠟⠻⠃ ⠀⠀⠀⠀⢹⣿⣧⠰⣄⠀⠈⠛⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⣀⣠⠞⠋⠀⠀⢀⣰⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠛⠳⣿⣧⣄⡀⠀⠈⠛⠲⢦⣤⣤⣄⣤⣤⣤⣤⠴⠖⠛⠉⠀⠀⠀⠀⣠⡞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠷⢦⣄⣠⡴⣯⠿⠋⠀⠹⣟⣦⣀⡀⠀⠀⣠⣤⣶⣘⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣺⡿⠿⡿⠁⣿⣶⣦⣤⣤⣿⠈⣿⣽⣓⢾⣟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⠏⠀⠀⣾⣧⡀⠸⣎⠉⠉⢩⡏⠀⢸⡄⠈⠙⢮⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⡞⢀⣤⣠⡞⠉⠙⠳⣿⣦⣴⣿⠖⠚⠙⠻⣄⢀⠈⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⢻⡇⠘⣿⣿⠒⠒⠒⢲⣤⣻⡅⠀⠀⠀⠀⠀⠙⢿⠗⢼⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣏⣼⠀⠀⣿⣿⣀⣀⣀⣸⡿⢻⡇⠀⠀⠀⠀⠀⠀⢸⠀⠘⣧⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⠟⠁⠀⢸⡇⠀⠀⠀⠈⠉⠀⢸⠂⠀⠀⠀⠀⠀⠀⢸⡇⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⡞⠀⣀⡀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⡀⠘⡇⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⢠⡇⢰⣻⠃⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠸⡿⡆⣇⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⢸⡗⣿⡟⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⢷⣷⣿⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠘⣧⣀⣀⣀⣀⣀⣀⣀⣸⣄⣀⣀⡀⠀⠀⢀⣨⡟⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣦⣀⣀⣀⣰⣿⣿⡿⠿⠿⠿⠿⠿⢿⠿⠿⠿⠿⣿⣿⣿⣿⣆⣀⣀⣀⣴⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠿⣿⣿⡇⢸⣿⡇⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⣿⡇⢸⠿⡶⢾⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣶⣿⣿⠃⢸⣿⠂⠀⠀⠀⠀⠶⣦⣀⠀⠀⠀⠀⠀⣿⣿⢿⣾⣿⣸⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠀⢸⣿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣿⣷⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢻⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢸⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣸⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠀⠀⠀⠀⠀⢸⢾⠀⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⢸⢻⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣽⠀⠀⠀⠀⠀⠀⢸⢸⠀⠀⠀⠀⠀⠀⠀⡇⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠀⠀⠀⣾⠿⣇⢀⡀⠀⠀⠀⢠⣷⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣶⣾⡦⠞⠋⠀⠙⢷⣛⣲⣾⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠶⠶⣤⡇⠀⠀⠀⠀⢸⡿⠿⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠀⠀⠀⢈⡇⠀⠀⠀⠀⢸⡇⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⠶⠶⠟⠃⠀⠀⠀⠀⠘⠷⠶⠤⠶⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⡤⠤⠴⠶⠶⠶⠶⠶⠶⢤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⣀⣀⣤⣴⣶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⢀⣠⡶⠛⠉⠁⠀⣠⣿⣦⠀⠀⠈⠙⠻⢦⣄⠀⠀⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⣴⠟⠀⠙⣷⡀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠘⢷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⢀⣼⠋⠀⢀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠈⢻⣄⠀⠀⠈⢻⣆⠀⠀⠀⠀⠀ ⠀⠀⢀⡾⠃⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⢠⡾⠁⠀⣰⠟⢷⡄⠀⠹⣦⠀⠀⠀⠀⠀⠀⠻⣦⠀⠀⠀⠹⣦⠀⠀⠀⠀ ⠀⢠⡿⠁⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⣠⡟⠀⠀⣼⠋⠀⠀⢻⣆⠀⠘⣷⡀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠘⣧⡀⠀⠀ ⢀⡟⠁⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⣰⡟⠀⢀⡾⠁⠀⠀⠀⠀⠹⣆⠀⠈⢷⡀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠘⣧⡀⠀ ⢸⡇⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⣰⠏⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠹⣆⠀⠈⢷⡀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠘⢷⡀ ⢸⡇⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣰⠏⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠈⢷⡀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠈⣷ ⢸⠇⠀⠀⠀⠀⣼⡇⠀⠀⠀⢰⡟⠀⠀⠘⠷⠶⠦⠤⣤⣤⣤⡤⠤⠴⠶⠟⠂⠀⠈⣷⡀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣿ ⢸⠀⠀⠀⠀⢠⡿⣇⡀⠀⠠⣿⣤⣄⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣠⣤⣼⠧⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⣿ ⢸⠀⠀⠀⠀⢸⠇⠹⡟⢛⠷⠶⢦⣤⣈⣉⣉⣉⣉⣉⣉⡉⠉⠉⣉⣉⣉⣉⣁⣀⣤⣤⡶⡶⠿⡟⠉⣿⠀⠀⠀⠀⠀⣿ ⢸⠀⠀⠀⠀⣿⠀⠀⣿⠈⣷⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⢰⡏⢰⡇⠀⢸⡆⠀⠀⠀⠀⣿ ⢸⠀⠀⠀⢰⡇⠀⠀⢹⡄⢻⣇⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⣼⠇⠀⠈⣷⠀⠀⠀⠀⡿ ⢸⠀⠀⠀⢸⠇⠀⠀⠸⣷⠈⣿⢷⣄⣀⣤⡤⢶⢻⢻⡏⣿⣹⡟⣿⢷⢦⣤⣄⣀⣴⢿⡏⠀⣿⠀⠀⠀⢻⡀⠀⠀⠀⡇ ⢸⠀⠀⠀⣾⠀⠀⠀⠀⣿⡄⠸⣆⠹⠷⣸⢧⢸⣼⣿⣧⣻⣿⣇⣿⣾⣰⢧⡾⢿⣠⡟⠀⢸⡟⠀⠀⠀⢸⡇⠀⠀⢰⡇ ⢸⡄⠀⠀⣿⠀⠀⠀⠀⠸⣇⠀⢹⣿⡀⠉⢺⡞⢿⠈⠻⠘⠃⡿⠸⠻⠏⠚⡀⣎⡾⠁⠀⣼⠁⠀⠀⠀⠈⣧⠀⠀⢸⠇ ⢸⡇⠀⠀⣿⡀⠀⠀⠀⠀⢿⡀⠀⢻⣿⣗⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡿⣿⠃⠀⢠⡟⠀⠀⠀⠀⣠⡿⠀⠀⣾⠀ ⠀⣷⠀⠀⠀⠙⢶⣄⠀⠀⠘⣧⠀⠈⢿⡓⡞⡇⡀⠀⠀⠀⠀⠀⠀⢸⣧⠽⣽⠃⠀⢀⡾⠁⠀⢀⣠⠞⠉⠀⠀⢠⡏⠀ ⠀⢻⣆⠀⠀⠀⠀⠙⢷⣄⠀⠹⣆⠀⠈⣿⠀⣷⣧⡄⠀⠀⠀⠀⣸⣸⠸⣼⠇⠀⢀⡾⠃⠀⣴⠟⠁⠀⠀⠀⠀⣼⠇⠀ ⠀⠀⠙⢷⣄⠀⠀⠀⠀⠙⢷⣀⠹⣆⠀⠘⣿⠋⡿⣿⡇⡄⠀⣼⡿⢿⣴⠏⠀⣠⡞⠁⣠⠞⠁⠀⠀⠀⢀⣤⠾⠋⠀⠀ ⠀⠀⠀⠀⠈⠻⣦⣀⠀⠀⠀⠹⣯⡛⣧⡀⠘⢿⡇⡸⢹⢻⣧⣿⢣⣰⠋⢀⡴⠛⢻⡿⠃⠀⠀⣀⣤⠾⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠷⣤⡀⠀⠈⢿⡌⠻⣦⡈⢿⣇⣸⣸⣹⣾⡾⢃⣴⠟⠀⣰⠟⢀⣠⡴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣤⣀⠻⣆⠈⠛⠶⣭⣍⣉⣩⣭⠶⠛⠁⢀⣼⡧⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢦⣄⣀⢸⡇⠉⣿⣀⣤⠶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣴⣶⡆⠀⣀⣀⣾⣿⣗⣷⣆⣦⣴⣦⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⣶⣿⣿⣧⡘⢿⡇⠀⠉⠙⢿⢿⠶⢿⣿⡿⠿⠿⣿⣤⣿⣷⣿⣤⣤⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⣼⡾⠿⠟⢁⣀⣥⣤⣶⣶⣶⣶⣶⣾⣿⣶⣶⣤⣀⠀⠈⠙⢷⣾⣿⡿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠋⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡘⢻⠿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡟⣿⡟⠀⢸⣿⢸⣿⣿⣿⣿⠟⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣀⣹⣿⣀⣸⡿⢸⣿⠙⣿⣿⣆⣿⣿⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⡿⠉⠙⢿⣿⣿⢇⣿⠏⠀⠛⠻⣿⡉⢻⣇⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣷⣶⣶⣮⣍⡉⠈⠁⠀⠀⢀⣶⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡁⣛⣻⣿⣿⡇⠀⠀⠀⠀⠚⢙⣻⣿⣿⣿⣼⣿⣿⠃⢿⣿⣿⣿⣿⣿⣦⡀⠀⠀ ⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⡟⠿⠿⠟⠋⠀⠀⠀⠀⠀⠈⠛⠛⠿⠿⠋⠀⣿⣿⣄⣾⣿⣿⣿⣿⣿⣿⣿⣶⠄ ⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣀⠀ ⠀⠉⠉⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⣤⣤⣤⡀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠛⠛⠋⠀ ⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠙⠓⠋⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⠦⠴⠶⢚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣁⣤⣿⡿⠛⢿⣿⣿⢧⣸⡄⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⠿⠛⠻⣄⡙⢷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣴⠿⠛⣡⣿⡟⠀⠀⠀⠛⠃⢦⡻⣇⠀⠀⠀⠀⠈⣿⣿⡟⠛⠋⠀⠀⢀⣠⣬⣽⣆⣹⣷⡆⠀⠀⠀ ⠀⠀⠀⣾⣫⡵⠖⢺⡟⠉⠀⠤⢤⣤⡀⠀⠈⠻⣿⣿⢶⣶⣶⣿⣿⣿⠁⠀⠀⢀⣴⢋⣵⣿⣯⣉⠉⠑⢦⣄⡀⠀ ⠀⠀⠀⠈⠻⢷⣤⣘⠛⠛⠛⠛⠶⢶⣽⣷⡀⠀⢹⣿⣦⣄⣀⣼⣿⡇⠀⠀⢀⣾⣿⠟⠁⠀⠀⠉⠙⠲⣦⣩⣿⠀ ⠀⠀⠀⠀⠀⠀⠉⠻⠟⡶⣤⣀⠀⠀⠈⠻⣿⡄⢸⣿⡇⠀⠀⠀⣿⠇⠀⣰⣿⡿⠁⠀⠀⠀⢀⣀⡤⠶⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⢶⣤⣤⣽⣿⣄⣿⡇⠀⠀⠀⡇⡀⣰⣿⣟⣤⣤⠴⠾⠛⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠓⠒⠒⠒⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣰⣶⠒⣿⡇⠰⠶⣿⣟⣿⣿⣿⣿⣾⣶⣦⣤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⣹⣿⠿⠟⢈⣁⣠⣤⣬⣭⣬⣿⣥⣄⣉⠉⠛⢿⣽⣿⡗⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠋⣁⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣌⠻⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⢿⣟⠀⣿⣿⣿⣿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⣽⣿⣿⣿⣿⣯⢼⣿⣤⣿⢿⡟⢹⣿⣷⢿⡷⢿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀ ⠀⠀⠀⢠⣿⣿⣿⣿⣿⣧⣤⣼⡛⠋⠛⠁⠀⢠⣿⣦⣿⣾⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⣿⣿⣿⣉⣻⣿⣿⠂⠀⠀⠀⠛⣻⣿⣿⣿⣿⡟⢻⣿⣿⣿⣿⣆⠀⠀ ⠀⣠⣾⣿⣿⣿⣿⣿⣿⡉⠛⠋⠁⠀⠀⠀⠀⠉⠉⠛⠋⠀⣿⣷⣾⣿⣿⣿⣿⣿⠿⠂ ⠙⠛⣻⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⢀⣉⡀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡿⠿⠷⠀ ⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠈⠛⠋⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠈⠹⠟⢿⣿⣿⣿⣿⡟⡟⠒⠒⠋⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡁⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⠤⢲⣿⠋⠈⠻⠟⣳⣿⠀⠀⠀⠘⢿⣿⠿⠟⠋⠉⢈⣳⣬⢻⣦⠀⠀⠀ ⠀⠀⣾⣫⠤⢶⡟⠡⠤⢤⣀⠀⠘⢿⣷⠶⣤⡶⣿⡟⠀⠀⢀⣔⣿⢿⣋⡉⠛⢤⣀⠀ ⠀⠀⠈⠛⢶⣬⣉⠉⠙⠓⠾⣷⡄⠈⣿⡷⠤⠴⣿⡇⠀⣠⣿⠟⠁⠀⠀⠉⢑⣦⠿⠃ ⠀⠀⠀⠀⠀⠈⠉⠙⢲⣤⣀⣈⢿⣆⢿⡇⠀⠀⡟⠁⣴⡿⢃⣀⣠⠤⠶⠚⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠛⠓⠤⠤⠟⠚⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠚⠉⠉⠉⠹⣿⠉⠉⠉⠉⠙⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⣟⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⣻⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢓⡦⣤⠀⠀⠀ ⠀⠀⠉⣹⠏⠁⠀⠀⠀⠀⠀⢀⣤⢻⣾⢹⢿⡟⢫⣷⣝⡶⢄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡀⠀⠀⠀ ⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⣠⢞⣿⠇⡏⡏⢸⣧⠈⣏⡟⡼⡆⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀ ⠀⡼⠁⠀⠀⠀⠀⠀⠀⢠⠏⢨⣿⢠⣇⡇⠈⢿⡄⢸⣷⠹⡷⣄⠙⢦⡀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⢀⡴⠿⣛⣟⠿⠲⠿⠀⠀⠀⠙⠺⠿⠖⢊⣿⣿⣉⢙⣶⣄⡀⠀⠀⠀⠀⣿⠀⠀ ⢾⡇⠀⠀⠀⢠⣶⣿⣿⡿⢿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⣰⣿⠿⢿⣿⣿⣷⡟⡟⣆⠀⠀⠀⣿⡀⡀ ⠈⡇⠀⠀⢠⡎⡇⢸⣿⣦⣾⣿⣹⣿⡏⠀⠀⠀⠀⠀⠀⣿⣿⣶⣾⣟⣹⣿⡿⡇⠘⣦⠀⠀⠈⡹⣿ ⠀⣇⠀⠀⡾⠁⣿⠘⢿⣿⢿⡿⣿⡻⠁⠀⠀⠀⠀⠀⠀⠹⣟⡟⢻⣟⣿⠝⢱⠇⠀⠈⠀⣶⣶⠟⠁ ⠀⣿⣧⠀⠁⠀⠸⡄⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⡾⠀⠀⠀⠀⡈⣿⣿⠃ ⠀⠋⠻⣀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⠀⠀⢀⣬⣿⠋⠀⠀ ⠀⠀⠀⠈⠢⡀⠀⠀⠈⠑⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠊⠀⠀⣤⢀⣾⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀⠉⠑⠲⠶⣤⡤⣤⣤⣤⡶⠒⠉⠁⠀⣀⡠⣾⠷⠋⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠼⠧⠶⣦⢦⡀⢀⣀⣤⢞⡝⠁⠀⠈⢳⡝⣶⣤⣖⣛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣱⣟⡽⠷⡿⠸⣷⣲⣶⡶⢿⠇⠘⣏⠑⠺⣝⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⡟⠁⠀⢸⣇⣀⡹⣄⠀⣠⢋⣠⠤⣿⠀⠀⠘⢏⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣼⢁⣖⡴⠃⠀⠈⠉⠛⣿⠗⠉⠀⠀⠀⢳⣽⡤⢸⡸⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡟⡏⠈⡏⠀⠀⠀⠀⠀⠀⢸⠀⣯⠉⠉⠉⣿⣿⠀⠀⣇⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⡇⠀⠀⠀⠀⠀⠀⢸⠀⠛⠒⠒⠚⠛⢹⡀⠀⠛⣽⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⠚⠀⢰⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⣸⠀⣶⡆⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⡟⡆⢸⡀⠀⠀⢸⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⣿⣿⣽⠁⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢱⣿⣼⡇⠀⠀⠀⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡅⠀⠀⠀⢿⡍⠁⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠉⢹⡇⠀⠀⠀⢸⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣧⣀⠀⠀⢀⣿⣵⢶⠾⠿⠿⠿⢿⠿⠿⠿⠿⡿⢿⡿⣿⣄⠀⠀⢀⣼⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣯⠭⣽⣏⣺⢸⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠈⣷⡇⠘⣿⠽⠿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⡝⠿⡟⢻⢸⠀⠀⠀⠀⠀⣠⡴⠆⠀⠀⠀⠀⡏⡇⠀⣷⠿⣠⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠁⢸⢸⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣷⡇⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣸⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⢸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⡇⠀⠀⠀⠀⠀⢸⢿⠀⠀⠀⠀⠀⢸⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠁⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⡿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣴⣦⣤⣶⡤⠋⠉⠷⣄⣠⣤⣴⣶⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣩⠭⣹⠃⠀⠀⠀⠘⣏⣩⢭⣹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⢸⡄⠀⠀⠀⢰⡏⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢦⣀⣠⠼⠃⠀⠀⠀⠈⠳⠤⠤⠤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⣀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣰⣶⣷⣿⣷⣶⣦⣿⢿⣿⢆⡀⠀⠀⠀⠀⠀⠀⠀ ⡾⠻⢇⠀⠀⠀⠀⢸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣜⠀⠋⢂⠀⠀⠀⠀⠀⠀ ⣾⣄⣸⣦⠁⠀⣠⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣆⢀⣀⣆⠀⠀⠀⠀⠀ ⣏⣶⣣⠤⣶⢨⣿⣹⣿⣿⣈⣾⢻⣿⣿⣿⣿⣿⣿⣿⣿⡞⢰⡹⣆⠀⠀⠀⠀ ⠛⢹⣴⠄⢈⣿⣿⣿⣿⠿⢿⡏⠙⢻⠿⠟⠿⣿⣿⣿⣿⡇⢸⠑⢄⠀⠀⠀⠀ ⣴⣿⣿⠀⢸⠙⣻⣿⣿⡄⠀⣆⣠⡄⠀⠀⢰⣿⣿⣿⣿⣷⠎⠴⠟⠀⠀⠀⠀ ⠀⠀⠈⠹⣮⠟⠝⠁⢸⣷⡀⢼⣿⡄⠀⠀⢠⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠉⠈⡀⠀⣾⣿⣿⣄⡀⠤⠐⠀⠈⣻⣿⣿⡟⠯⠤⠦⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣷⠀⠂⠉⠀⡀⢁⣿⣷⣀⠀⠀⢀⣿⣿⣿⣇⢀⡀⠀⠀⣈⢢⠀⠀ ⠀⠀⠀⠀⢈⣠⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠃⠀⣇⠀ ⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣧⣿⣿⠀⠀⢙⡄ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠈⠱

⠀⠀⠀⢀⣀⣤⢤⡄⣤⣶⣶⣦⣤⢤⣀⠀⠀⠀⠀ ⠀⠀⠀⠹⠽⢛⣩⣤⣶⣶⣾⣷⣬⣉⠻⣿⠃⠀⠀ ⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⣼⣿⣿⡗⠻⣾⡹⠙⢻⣻⣞⣿⣿⣿⣷⠀⠀ ⠀⢠⣿⣿⣿⣝⣿⡗⠀⠀⣻⣿⡿⣿⢻⣿⣿⣆⡀ ⠶⣿⣿⣿⣿⣇⠀⠀⣀⠀⠀⠀⣠⣿⣿⣿⣿⠿⠅ ⠀⠛⠻⣿⣿⣿⣷⣤⢉⡁⣤⣾⣿⣿⣿⣿⠟⠀⠀ ⠀⢀⡠⢰⡟⠉⠿⣿⡀⠀⢹⣿⠟⠋⣉⣮⣢⠄⠀ ⠀⠳⢭⣃⠈⠥⢦⡈⣿⠍⢽⡇⢀⡾⠋⠑⠂⣕⠆ ⠀⠀⠀⠉⠉⠲⠤⠷⢹⣀⣸⡠⠿⠥⠐⠒⠉⠁⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠤⠤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠒⠉⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⡀⠀⠀⡄⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⡇⠀⢠⣇⣀⣀⣹⡀⠀⢆⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠇⠀⢀⣆⡤⠞⠓⠉⠁⠀⠀⠀⠉⠉⠙⠚⢦⡘⡆⠀⠀⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⡼⠁⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⣠⣤⠤⠤⢄⣀⠹⡀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣰⠃⢀⣷⣿⣿⣿⣟⣯⠀⠀⠀⣈⣩⣽⣿⣿⣯⣼⣣⣧⡞⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣿⣿⠘⠏⣿⣷⣿⣿⣿⠻⡆⠀⠀⠿⢻⣿⣿⣟⣿⡌⠃⣿⡍⢳⠀⠀⠀⠀ ⠀⠀⠀⢹⣜⢟⡆⠀⠙⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠛⠛⠛⠉⠀⢠⣇⣳⠞⠀⠀⠀⠀ ⠀⠀⠀⠀⣈⣿⣳⡀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⡀⠀⠀⠀⠀⠀⣾⡽⣅⠀⠀⠀⠀⠀ ⠀⣠⠴⠊⠹⢿⣽⣳⣄⡀⠀⠀⠀⠀⠛⠭⠽⠋⠀⠀⠀⠀⣠⢾⣿⣟⢯⠙⠲⢄⡀⠀ ⠐⢯⣀⠀⠀⠚⠀⣇⠀⠉⠒⠤⣄⣀⡀⠀⠀⠀⣀⣠⠴⠊⠁⢀⡇⠁⠀⠀⢠⡴⠇⠀ ⠀⠀⠉⠒⠒⠒⠣⠼⠆⠀⠀⣀⣤⡤⠟⢯⣽⠟⠛⢦⣤⣀⡀⠚⠒⠓⠒⠓⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠛⣇⠈⢟⡢⠞⠉⠳⠶⣿⠃⢸⠏⢢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⢸⠀⠀⠉⠉⠙⠛⠋⠁⠀⡞⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢴⣁⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⢀⣀⣵⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡞⢈⠉⣹⣏⣀⠀⠀⠀⠀⠀⠀⠀⣀⣸⣿⠉⢁⣸⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠋⣿⢿⣿⠁⠈⠋⠉⡏⠉⠙⠋⠉⣇⠀⣿⢿⠹⡧⣻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠓⠒⣿⠇⠀⠀⠀⠀⠁⠀⠀⠀⠀⠙⠀⠀⣿⡖⠚⠹⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣵⠀⠀⣇⠀⠀⠀⠀ ⠀⠀⢀⣀⣀⡼⠗⠦⣧⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣷⢒⠛⠦⣤⣤⡀ ⠀⠀⠘⠿⠿⠓⢻⣴⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠙⢦⡏⠙⠛⠋⠁ ⠀⠀⠀⠀⠀⠀⠀⠁⠘⠢⠤⡤⣠⣤⣀⣀⣀⣀⣀⣀⠤⠤⣴⠖⠚⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡀⠀⠀⣸⠃⢹⣀⣀⣀⣠⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠭⠿⠭⢿⠀⢘⡧⠶⠴⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⠀⠀⡇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⢸⠀⠀⡇⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⠀⠀⡇⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡇⠀⠀⡇⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣀⣀⢳⠀⠀⣷⣀⣀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢿⣿⣿⣿⠀⢀⡿⣞⣿⣽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠈⠁⢸⡇⢸⠀⠀⠀⢈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠒⢋⠀⠈⠑⠒⠒⠚⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠤⠶⠦⠤⠶⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠁⠈⡇⠈⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣼⠃⡏⠀⠀⢣⠀⢸⠹⣆⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⢀⡼⠃⡼⠀⠀⠀⡈⠀⢸⠂⠘⣧⡀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⣠⡾⠧⣾⣤⡀⠀⢀⠃⠀⢸⣤⡤⠼⢷⣄⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⡾⢳⣄⡴⣋⣠⣤⣤⣀⠀⡄⠎⠀⠀⢀⣠⣤⣤⣀⣙⣦⣠⠟⢧⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡇⢹⣿⠀⠙⠷⠽⠿⠼⡇⢻⠀⠀⠀⣿⠽⠿⠥⠚⠉⠀⡿⡏⢹⡇⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠈⣧⠀⢸⡄⠀⠀⠀⠀⠛⠀⡜⠀⠀⠀⠈⠂⠀⠀⠀⠀⢰⡇⢇⣼⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠸⣆⠘⣇⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⣰⠇⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠙⠓⢿⠀⠀⠀⠀⠀⠀⠒⠂⠴⠂⠀⠀⠀⠀⠀⢀⡿⠚⠋⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡾⠃⠀⠀⠘⣇⠀⠀⠀⢀⣤⣚⣙⡉⣷⣤⡀⠀⠀⠀⣼⠃⠀⢠⡀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⢦⣄⠀⠀⠹⣧⣄⠀⠀⠙⠒⣒⣒⠒⠉⠀⠀⣠⡾⠃⠀⢠⣸⡟⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⣀⣶⣿⠙⢷⣄⠀⠀⠀⠀⠀⠀⣠⠞⣿⣄⠀⣀⣿⠛⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣻⡟⠀⢻⠀⠀⠙⠳⢦⣤⣤⡴⠞⠁⠀⣿⠹⣦⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡇⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠃⠀⠀⠀⣼⠀⠀⣆⠀⠀⠀⠀⠀⢰⠃⠀⡇⠀⠀⠈⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠞⠋⠉⠻⣤⡀⠀⠀⠸⡆⠀⠸⡆⠀⠀⠀⠀⡟⠀⢰⠇⠀⠀⠀⣸⠏⠙⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⠶⠛⠉⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⢻⡀⠀⠃⠀⠀⠀⠘⠁⢀⡟⠀⠀⣠⠟⠁⠀⠀⠀⠈⠙⠳⢦⣄⡀⠀⠀⠀⠀ ⢀⣠⠶⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣦⣈⣧⠀⠀⠀⠀⠀⠀⠀⣼⠁⣠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠦⣄⣀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠒⠉⠉⠁⠀⠀⠀⠀⠈⠉⠉⡶⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡔⠁⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠏⠀⠀⠀⢳⠀⠀⣀⣠⣤⣤⣀⣀⣀⣰⠃⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡴⠃⠀⠀⢀⣤⣾⣿⣿⣿⠿⢻⠙⢿⡿⡿⠿⠿⢶⣦⣄⠀⠀⠈⢦⠀⠀⠀⠀⠀ ⠀⠀⡸⠁⠀⣠⣶⠟⡏⠉⠉⠉⠉⢦⠈⡆⡸⠁⠀⠀⠀⢸⡌⠛⢷⣦⡀⠈⣧⠀⠀⠀⠀ ⠀⢰⠃⠀⣼⡟⠁⠀⡇⠀⠀⠀⠀⠀⢳⣷⠁⠀⢀⣀⣀⣀⡇⠀⠀⢹⣿⡄⠘⡆⠀⠀⠀ ⢀⡞⠀⣰⣿⡃⠀⡠⠟⠮⣍⡉⠉⠉⠉⠉⠉⠉⠁⢀⡬⠛⠉⠢⢄⣸⣿⣷⠀⢹⠀⠀⠀ ⢠⠇⢀⣿⣿⣧⣊⠤⠤⠤⠤⠽⠶⡖⠒⠒⠒⢲⠞⠓⠒⠒⠒⠒⢚⡿⣿⣿⣧⠈⡇⠀⠀ ⣾⠀⢸⣿⣿⠙⣦⣀⣀⣀⣀⣀⠀⢳⡀⠀⢠⡏⢀⣤⣶⣶⣶⣶⠎⠀⢿⣿⣿⠀⢷⠀⠀ ⣼⠀⣾⣿⣿⠀⠈⢻⣿⣿⣿⣿⣿⣶⢧⠤⣼⣴⣿⣿⣿⣿⣿⣏⣀⣀⣸⣿⣿⡆⢸⠀⠀ ⡏⠀⣿⣿⣿⠒⠂⠈⢉⣹⠿⠛⢏⡸⢸⠀⢸⠘⡄⡏⠛⠓⠤⢄⣀⠀⢰⣿⣿⡇⢸⠀⠀ ⡇⢰⣿⣿⣿⣧⣴⣊⠁⠀⠀⠀⢸⡇⢸⠀⠘⡄⢳⠃⢀⣀⡠⠴⢶⡿⣿⣿⣿⡇⢸⠀⠀ ⡇⠸⣿⣿⣿⣷⠑⢤⡈⠉⠉⠉⡹⠻⣍⣉⣉⡩⠟⢏⠁⠀⢀⡴⠋⢸⣿⣿⣿⡇⢸⠀⠀ ⢧⡀⠿⣿⣿⣿⣇⠀⠈⠒⢤⣼⣵⠾⢗⣲⣖⠿⢻⣾⣧⠔⠉⠀⢀⣿⣿⣿⡿⠃⣸⠀⠀ ⠀⠙⠦⣀⠙⠻⢿⣦⣄⡀⠀⠹⡄⢉⡗⠾⠵⠺⡅⢠⠇⢀⣠⣴⣾⠿⠋⣁⠤⠊⠁⠀⠀ ⠀⠀⠀⠀⠉⠒⠤⣈⡙⠛⠿⢶⣾⣮⣤⣤⣤⣤⣽⡷⠾⠛⢋⣁⠤⠖⠊⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠿⠓⠒⠤⡌⠙⣿⣿⣿⣿⠏⠀⠀⠚⠉⠉⠓⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⡄⠀⠀⣇⠀⠀⠀⠀⠀⠐⡄⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀ ⠀⠀⠀⢀⡜⠁⠀⠀⠀⠀⢸⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠉⢢⡀⠀⠀ ⠀⠀⡠⠋⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢷⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⣰⠧⠤⣀⠀⠀⢀⡔⢹⠁⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⢸⡈⠣⡀⠀⣀⠴⠊⠉⢳⠀ ⢠⣇⡄⠀⠀⠉⠲⣏⠀⡞⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⣇⠀⡽⠋⠀⠀⡀⠠⣸⠆ ⠈⢿⠀⡖⠠⢤⣠⠟⢀⠇⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⢸⠀⠓⢖⠳⠀⣳⡴⠋⠀ ⠀⠀⠉⠳⢤⠴⠃⠀⢸⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠈⡆⠀⠈⠙⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠣⢤⣀⡀⠀⠀⠀⢀⣼⣻⡄⠀⠀⣀⣠⢴⠚⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠈⠉⠉⢙⡟⠁⠀⢿⠉⠉⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡠⠧⠤⣀⠀⠀⢸⠀⠀⠀⢹⡀⠀⢀⠤⠴⠺⠦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡔⠁⠀⠀⠀⠈⠑⠒⣺⠀⠀⠀⠈⡗⠒⠉⠀⠀⠀⠀⢈⣳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢯⣖⣲⣶⣶⣶⣖⡯⠟⠀⠀⠀⠀⠻⠯⣒⣒⣒⣪⡽⠷⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣴⣒⣲⣤⣤⣠⣤⣤⡤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⣿⡽⠿⠿⠾⣿⣿⡿⣿⣿⣿⠽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⢀⣀⡀⢀⣀⣀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⡿⢿⢿⣿⣿ ⡿⢉⣴⣶⣶⣦⡙⢿⣿⣿⣿⡟⢁⢻⣿⣿⣿⣿⢰⣶⣶⣶⣶⣶⣶⡆⣿⣿ ⢠⣿⣿⣿⣿⣷⣿⡌⣿⣿⠟⢰⣿⡆⠹⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⡇⣿⣿ ⠸⣿⣿⣿⣿⣿⣿⠃⣿⡟⢠⣿⣿⣿⣆⠻⣿⣿⢸⣿⣿⣿⣿⣿⣿⡇⣿⣿ ⣧⡙⠻⠿⠿⠟⣃⣼⠟⠰⠿⠿⠿⠿⠿⠦⠹⣿⠸⠿⠿⠿⠿⠿⠿⠇⣿⣿ ⣿⣿⣿⣶⣶⣿⣿⣿⣶⣶⣶⣴⣶⣶⣶⣶⣶⣽⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾

⠀⠀⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠐⢿⠓⠀⢀⡴⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⡒⠤⣀⡀⠀⢀⡴⠋⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠱⡀⠀⠉⠑⠋⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀ ⠀⠀⠀⠀⢱⡄⠀⠀⠀⠀⠀⠉⠒⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣈⠵⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀ ⢀⡤⠋⣀⣀⣀⣤⠀⠀⠀⢰⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀ ⠈⠉⠁⠀⠀⠀⠀⢧⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢐⣶⣆⠀⠀⢠⠈⢇⢰⠃⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⣰⡄⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⠀⠀⠀⣏⣧⠈⠟⠀⠀⠀⠀⠀⠀⠽⡿⠆⠀⠀⠀⢀⣿⣿⣦⣶⣶⠟⠀⠀ ⠀⠀⠀⠀⣀⣸⣿⣯⢧⠤⢤⣤⣴⠦⠀⠀⠀⠁⠀⠀⠛⠿⣿⣿⣿⣿⣿⡁⠀⠀⠀ ⠀⠙⠯⡻⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠰⣄⣠⡇⠀⠀⠀⠀⢸⣿⡿⠛⠛⠿⣆⠀⠀ ⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⠁⠀⠀⠀⣠⢿⣿⠟⠒⠀⠀⠀⠸⠊⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡾⣿⠿⠺⢝⡯⢧⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢼⠓⠁⠀⠀⠀⠉⠺⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠈⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢟⡒⠒⠛⠁⠀⠘⠒⠒⢲⡶⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡆⠀⠈⢢⠀⠀⠀⠀⡤⠚⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠉⠀⢠⠇⢀⡤⣀⠀⢳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠊⠁⠀⠈⠳⣼⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡄⠀⣀⠀⠀⢀⣄⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⢾⣿⣟⠁⠀⠀⠺⡟⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢉⠓⠀⠀⠀⠀⠀

🔮`<=>`⌨️

⢀⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣤⡀ ⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢀⣄⡀⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢠⣿⡿⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠻⠷⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏ ⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠄⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⣀⣠⠤⠶⠶⣖⡛⠛⠿⠿⠯⠭⠍⠉⣉⠛⠚⠛⠲⣄⠀⠀⠀⠀⠀ ⠀⠀⢀⡴⠋⠁⠀⡉⠁⢐⣒⠒⠈⠁⠀⠀⠀⠈⠁⢂⢅⡂⠀⠀⠘⣧⠀⠀⠀⠀ ⠀⠀⣼⠀⠀⠀⠁⠀⠀⠀⠂⠀⠀⠀⠀⢀⣀⣤⣤⣄⡈⠈⠀⠀⠀⠘⣇⠀⠀⠀ ⢠⡾⠡⠄⠀⠀⠾⠿⠿⣷⣦⣤⠀⠀⣾⣋⡤⠿⠿⠿⠿⠆⠠⢀⣀⡒⠼⢷⣄⠀ ⣿⠊⠊⠶⠶⢦⣄⡄⠀⢀⣿⠀⠀⠀⠈⠁⠀⠀⠙⠳⠦⠶⠞⢋⣍⠉⢳⡄⠈⣧ ⢹⣆⡂⢀⣿⠀⠀⡀⢴⣟⠁⠀⢀⣠⣘⢳⡖⠀⠀⣀⣠⡴⠞⠋⣽⠷⢠⠇⠀⣼ ⠀⢻⡀⢸⣿⣷⢦⣄⣀⣈⣳⣆⣀⣀⣤⣭⣴⠚⠛⠉⣹⣧⡴⣾⠋⠀⠀⣘⡼⠃ ⠀⢸⡇⢸⣷⣿⣤⣏⣉⣙⣏⣉⣹⣁⣀⣠⣼⣶⡾⠟⢻⣇⡼⠁⠀⠀⣰⠋⠀⠀ ⠀⢸⡇⠸⣿⡿⣿⢿⡿⢿⣿⠿⠿⣿⠛⠉⠉⢧⠀⣠⡴⠋⠀⠀⠀⣠⠇⠀⠀⠀ ⠀⢸⠀⠀⠹⢯⣽⣆⣷⣀⣻⣀⣀⣿⣄⣤⣴⠾⢛⡉⢄⡢⢔⣠⠞⠁⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠢⣀⠀⠈⠉⠉⠉⠉⣉⣀⠠⣐⠦⠑⣊⡥⠞⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡀⠀⠁⠂⠀⠀⠀⠀⠀⠀⠒⠈⠁⣀⡤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠶⢤⣤⣤⣤⣤⡤⠴⠖⠚⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠐⠶⣿⣿⡿⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣇⡀⠀⠀⠀⠀ ⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣿⣿⡿⠟⠋⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⣆⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡿⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⡄⠠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡸⠿⣿⣿⠿⠀⠀⠀⠀⠀⠀⢀⢴⠀⠀⠀⠀⠀⠀ ⢠⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢾⠶⠤⠶⠴⠶⠆ ⠘⡟⠁⣩⡿⠋⠉⠀⠀⣿⣿⠿⠻⣿⣿⡇⠀⠀⢸⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠷⠞⠁⠀⠀⠀⠀⣴⣿⠏⠁⠀⣿⣿⡇⠀⠀⠸⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⣙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⣟⣫⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣐⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⡣⠑⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢤⣮⠙⠓⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢊⡵⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢴⡯⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣤⣶⣿⣿⣷⣦⡀⠀⠀⠀⢀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⢶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢀⠔⢔⠊⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣿⣿⣿⣿⡟⠉⢙⢟⢵⢿⠗⢨⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⣿⠛⠙⢏⣑⠖⡱⣮⠄⠁⢀⡾⢀⡇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠓⠒⢉⡵⣊⡴⣃⣠⠄⠉⣠⠞⢡⡟⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠖⢠⢔⣡⠞⠋⠀⠐⠶⡖⣀⡀⠘⠩⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠃⢺⡿⠋⠁⠀⠀⠀⠀⠀⠈⠁⠴⢄⠐⠧⣠⣞⡻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡾⠟⠈⣿⡿⠃⠺⠷⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⢿⡋⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣛⡃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣩⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣯⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠀⣤⢲⣦⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⡶⣰⠤⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠛⠉⠁⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠒⠁⠁⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽🏽🏽🏽🏽🏽🏽🏽🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜🏽🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽🏽⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🏽⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜🏽⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🏽⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜🏽⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🏽⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜🏽⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜🏽🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽🏽⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🏽🏽🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽🏽🏽⬜⬜⬜⬜ ⬜⬜⬜🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽⬜⬜⬜ ⬜⬜🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽🏽⬜⬜⬜⬜⬜⬜🏽⬜⬜ ⬜🏽⬜⬜⬜⬜🏽⬜⬜⬜⬜⬜⬜⬜⬜🏽⬜⬜🏽⬜🏽⬜⬜⬜⬜🏽⬜ ⬜🏽⬜⬜⬜⬜🏽⬜⬜⬜⬜⬜⬜⬜⬜🏽⬜⬜🏽⬜🏽⬜⬜⬜⬜🏽⬜ 🏽⬜⬜⬜⬜🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽🏽⬜⬜⬜🏽⬜⬜⬜⬜🏽 🏽⬜⬜⬜🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽⬜⬜⬜🏽 🏽⬜⬜⬜🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽⬜⬜⬜🏽 🏽⬜⬜⬜🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽⬜⬜⬜🏽 🏽⬜⬜⬜🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽⬜⬜⬜🏽 🏽⬜⬜⬜🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽⬜⬜⬜🏽 🏽⬜⬜⬜⬜🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽⬜⬜⬜⬜🏽 ⬜🏽⬜⬜⬜🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽⬜⬜⬜🏽⬜ ⬜🏽⬜⬜⬜🏽🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽🏽⬜⬜⬜🏽⬜ ⬜⬜🏽⬜⬜🏽⬜🏽🏽🏽⬜⬜⬜⬜⬜⬜⬜🏽🏽🏽⬜🏽⬜⬜🏽⬜⬜ ⬜⬜⬜🏽🏽⬜⬜🏽⬜⬜🏽🏽🏽🏽🏽🏽🏽⬜⬜🏽⬜⬜🏽🏽⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜🏽⬜⬜⬜⬜⬜🏽⬜⬜⬜⬜⬜🏽⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜🏽⬜⬜⬜⬜🏽⬜⬜⬜⬜🏽⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽⬜⬜⬜🏽⬜⬜⬜🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽🏽🏽⬜🏽🏽🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜

🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦 🟦🟦🟦🟦🟦🟦🟦🟦🟦🟨🟨🟦🟦🟦🟨🟨🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦 🟦🟦🟦🟦🟦🟦🟦🟦🟨🟦🟦🟨🟦🟨🟦🟦🟨🟦🟦🟦🟦🟦🟦🟦🟦🟦 🟦🟦🟦🟦🟦🟦🟦🟨🟨🟦🟦🟦🟨🟦🟦🟦🟨🟨🟦🟦🟦🟦🟦🟦🟦🟦 ⬛⬛⬛⬛⬛⬛🟨🟨⬛🟨🟨⬛⬛⬛🟨🟨⬛🟨🟨⬛⬛⬛⬛⬛⬛⬛ ⬛⬛⬛⬛⬛🟨⬛🟨⬛⬛⬛🟨⬛🟨⬛⬛⬛🟨⬛🟨⬛⬛⬛⬛⬛⬛ ⬛⬛⬛⬛⬛🟨⬛⬛🟨⬛⬛⬛🟨⬛⬛⬛🟨⬛⬛🟨⬛⬛⬛⬛⬛⬛ ⬛⬛⬛⬛⬛⬛🟨⬛⬛🟨⬛🟨⬛🟨⬛🟨⬛⬛🟨⬛⬛⬛⬛⬛⬛⬛ 🟥🟥🟥🟥🟥🟥🟥🟨🟥🟥🟨🟥🟥🟥🟨🟥🟥🟨🟥🟥🟥🟥🟥🟥🟥🟥 🟥🟥🟥🟥🟥🟥🟥🟥🟨🟨🟥🟨🟥🟨🟥🟨🟨🟥🟥🟥🟥🟥🟥🟥🟥🟥 🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟨🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥 🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥

⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🏽🏽⬜⬜🏽🏽⬜⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜⬜🏽🏽⬜⬜🏽🏽⬛⬜⬜⬜⬜ ⬜⬜⬜⬛⬜⬜🏽🏽⬜⬜🏽🏽⬜⬜⬜⬛⬜⬜⬜ ⬜⬜⬜⬛🏽🏽⬜⬜🏽🏽⬜⬜⬜⬜⬜⬛⬜⬜⬜ ⬜⬜🏽🏽⬜⬜🏽🏽⬜⬜🏽⬜⬜🏽🏽⬛⬜⬜⬜ 🏽🏽⬜⬜🏽🏽🏽🏽⬛🏽🏽🏽⬜⬛⬜⬛⬜⬜⬜ 🏽⬜🏽🏽⬜⬜⬜🏽⬜⬜🏽⬜🏽🏽🏽⬛⬜⬜⬜ ⬜🏽⬜⬜⬛⬜🏽⬜⬜⬛⬛⬛⬛⬜⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🏽⬜⬜🏽⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬜🏽🏽🏽🏽🏽🏽⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬛⬛⬛⬛⬛⬛ ⬜⬜⬜⬛⬜⬜⬜⬜⬛🏽⬜⬜⬜⬜⬜⬜⬜⬛⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜🏽⬜⬜⬛⬛⬛⬜⬛⬜ ⬜⬜⬜⬜⬛⬜🏽⬜🏽🏽⬜🏽⬜⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜🏽⬜⬜🏽⬜🏽⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🏽🏽⬜🏽🏽⬜⬜⬜⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜🏽⬜⬜🏽⬜⬜⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜⬜⬛⬛⬜🏽🏽⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜

⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜ ⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬜⬜⬛⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬛⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛ ⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛ ⬛⬜⬜🏽🏽🏽🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽🏽🏽🏽⬜⬜⬜⬛ ⬛⬜⬜🏽🏽🏽🏽🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏽🏽🏽🏽⬜⬜⬜⬛ ⬛⬜⬜🏽🏽🏽🏽🏽⬜⬜⬜⬜🏽🏽⬜⬜⬜⬜🏽🏽🏽🏽🏽⬜⬜⬜⬛ ⬛⬜⬜🏽🏽🏽🏽🏽⬜⬜⬜🏽🏽🏽🏽⬜⬜🏽🏽🏽🏽🏽🏽⬜⬜⬜⬛ ⬛⬜⬜🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽⬜⬜⬜⬛ ⬛⬜⬜⬜🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽🏽⬜⬜⬜⬜⬛ ⬜⬛⬜⬜⬜🏽🏽🏽🏽🏽🏽🏽🏽⬜⬜⬜🏽🏽🏽🏽🏽⬜⬜⬜⬜⬛⬜ ⬜⬛⬛⬛⬛⬛⬜🏽🏽🏽🏽⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜ ⬜⬛🟥🟥🟥⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🟥🟥⬛⬜ ⬜⬛🟥🟥🟥🟥⬛⬛⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬛⬛🟥🟥🟥🟥⬛⬜ ⬜⬛🟥🟥🟥🟥🟥⬛⬛⬛🟥🟥🟥🟥🟥🟥🟥⬛⬛⬛🟥🟥🟥🟥🟥⬛⬜ ⬜⬛🟥🟥🟥🟥🟥🟥⬛🟥🟥🟥🟥🟥🟥🟥🟥⬛⬛🟥🟥🟥🟥🟥🟥⬛⬜ ⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜ ⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜ ⬜⬛🟥🟥🟥🟥🟥🟥⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛🟥🟥🟥🟥🟥🟥⬛⬜ ⬜⬛🟥🟥🟥🟥🟥⬛⬛⬛🟥🟥🟥🟥🟥🟥🟥⬛⬛⬛🟥🟥🟥🟥🟥⬛⬜ ⬜⬛🟥🟥🟥🟥⬛⬛⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬛⬛🟥🟥🟥🟥⬛⬜ ⬜⬛🟥🟥🟥⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟥🟥🟥⬛⬜ ⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜

⬜⬜🟩🟩🟩⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩⬜⬜ ⬜🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩🟩🟩🟩⬜ ⬜🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜⬜🟩🟩🟩🟩🟩🟩🟩⬜ 🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩 🟩🟩⬛⬛🟩⬛⬛🟩🟩⬛⬛⬛🟩🟩⬛⬛🟩⬛⬛🟩🟩 🟩🟩⬛⬛🟩⬛⬛🟩🟩⬛⬛⬛🟩🟩⬛⬛🟩⬛⬛🟩🟩 🟩🟩🟩🟩⬛🟩🟩🟩🟩⬛⬛⬛🟩🟩🟩🟩⬛🟩🟩🟩🟩 🟩🟩🟩⬛⬛⬛🟩🟩🟩⬛⬛⬛🟩🟩🟩⬛⬛⬛🟩🟩🟩 🟩🟩🟩⬛🟩⬛🟩🟩🟩⬛⬛⬛🟩🟩🟩⬛🟩⬛🟩🟩🟩 🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩 ⬜🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜⬜🟩🟩🟩🟩🟩🟩🟩⬜ ⬜🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩🟩🟩🟩⬜ ⬜⬜🟩🟩🟩⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩⬜⬜

⬜⬜⬜⬜⬜⬜⬜🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜🟪🟪🟪🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟪🟪🟪⬜⬜⬜⬜⬜ ⬜🟪🟪🟪🟪🟪🟪🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟪🟪🟪🟪🟪🟪⬜ 🟪🟪🟪🟪🟪🟪🟪🟦🟦🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟦🟦🟪🟪🟪🟪🟪🟪🟪 🟪🟪🟪🟪🟪🟪🟪🟦🟦🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟦🟦🟪🟪🟪🟪⬜⬜🟪 🟪🟪⬜⬜🟪🟪🟪🟦🟦🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟦🟦🟪🟪🟪🟪⬜⬜🟪 🟪⬜⬜⬜⬜🟪🟪🟦🟦🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟦🟦🟪🟪🟪🟪🟪🟪🟪 🟪⬜⬜⬜⬜🟪🟪🟦🟦🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟦🟦🟪🟪⬜⬜🟪🟪🟪 🟪🟪⬜⬜🟪🟪🟦🟦🟦🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟦🟦🟦🟪⬜⬜🟪🟪🟪 🟪🟪🟪🟪🟪🟪🟦🟦🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟦🟦🟪🟪🟪🟪🟪🟪 🟪🟪🟪🟪⬜🟪🟦🟦🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟦🟦🟪🟪🟪🟪🟪🟪 🟪🟪🟪🟪🟪🟪🟦🟦🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟦🟦🟪🟪🟪🟪🟪🟪 🟪🟪🟪🟪⬜🟪🟦🟦🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟩🟦🟦🟪🟪🟪🟪🟪🟪 ⬜🟪🟪🟪🟪🟪🟪🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟪🟪🟪🟪🟪🟪⬜ ⬜⬜⬜🟪🟪🟪🟪🟪🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟪🟪🟪🟪🟪⬜⬜⬜ ⬜⬜⬜⬜⬜⬜🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪⬜⬜⬜⬜⬜⬜

⬜⬜⬛⬛🏽🏽🏽🏽🏽🏽🏽🏽🏽⬛⬛⬛⬛ ⬜⬛⬛⬛🏽⬛⬛🏽🏽🏽🏽🏽🏽⬛⬛⬛⬛ ⬛⬛⬛⬛🏽⬛⬛🏽🏽🏽🏽🏽🏽⬛⬛⬛⬛ ⬛⬛⬛⬛🏽⬛⬛🏽🏽🏽🏽🏽🏽⬛⬛⬛⬛ ⬛⬛⬛⬛🏽⬛⬛🏽🏽🏽🏽🏽🏽⬛⬛⬛⬛ ⬛⬛⬛⬛🏽🏽🏽🏽🏽🏽🏽🏽🏽⬛⬛⬛⬛ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛ ⬛⬛⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬛⬛ ⬛⬛⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬛⬛ ⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛ ⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛ ⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛ ⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛ ⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛ ⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛ ⬛⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬛ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛

🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪 🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪🟪 🟪⬜🟪⬜🟪⬜🟪⬜🟪⬜🟪 🟪⬜🟪⬜🟪⬜🟪⬜🟪⬜🟪

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⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🏼🏼🟥🟥🟥🟥🟥🟥⬛⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🏼🏼🏼🏼🟥🟥🟥🟥🟥⬛⬜ ⬜⬜⬜⬜⬛🟥🟥🟥🏼🏼🏼⬜⬜🟥🟥🟥🟥🟥🟥⬛ ⬜⬜⬜⬜⬛🟥🟥🟥🏼🏼⬜🟩🟩🏼🟥🟥🟥🟥🟥⬛ ⬜⬜⬜⬛🟥🟥🟥🏼🏼🏼⬜🟩🟩🏼🟩🟥🟥🟥🟥⬛ ⬜⬜⬛🟥🟥🟥🟥🏼🏼🏼🏼⬜⬜🏼⬜🏼🟥🟥🟥⬛ ⬜⬛🟥🟥🟥🟥🟥🟥🏼🏼🏼🟥🟥🏼🏼⬛🟥🟥🟥⬛ ⬛🟥🟥⬛⬛🟥🟥🟥🟥🏼🏼🏼🏼🏼⬛⬛🟥🟥⬛⬜ ⬛🟥⬛🏼🏼🏼🏼🟥🟥⬛⬛⬛⬛⬛🏼🏼🟥🟥⬛⬜ ⬜⬛🟩🏼🏼⬛🏼🏼🟥🏼🏼🏼🏼🏼🏼🟥🟥🏼🟩⬛ ⬜⬛🟩🟩⬛⬛⬛🟩🟩🟩🟩🏼🟩🟩⬛🟥⬛🟩🟩⬛ ⬜⬛🟩🟩🟩⬛⬛🟩🟩🟩🟩🟩🟩🟩⬛⬛🟩🟩🟩⬛ ⬜⬛🟩🟩🟩⬛⬜⬛🟩🟩🟩🟩🟩⬛⬜⬛🟩🟩🟩⬛ ⬜⬜⬛⬛⬛⬜⬜⬛🟩🟩🟩🟩🟩⬛⬜⬜⬛⬛⬛⬜ ⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩🟩🟩🟩⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟩🟩🟩🟩⬛🟩🟩🟩🟩⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟩🟩🟩🟩⬛⬜⬛🟩🟩🟩🟩⬛⬜⬜⬜ ⬜⬜⬜⬛🟩🟩🟩🟩⬛⬜⬜⬜⬛🟩🟩🟩🟩⬛⬜⬜ ⬜⬜⬛🟩🟩🟩🟩🟩⬛⬜⬜⬜⬛🟩🟩🟩🟩🟩⬛⬜ ⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜

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⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛🌫️⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛⬛⬜⬜⬜⬜ ⬜⬛⬛⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛⬛⬛⬜ ⬛🌫️🌫️🌫️🌫️🌫️🌫️🟥🌫️🌫️🌫️🟥🌫️🌫️🌫️🌫️🌫️🌫️⬛ ⬛🌫️🌫️🌫️🌫️🌫️🌫️🟥🟥🌫️🟥🟥🌫️🌫️🌫️🌫️🌫️🌫️⬛ ⬛🌫️🌫️🌫️🌫️🌫️🌫️🟥🟥🟥🟥🟥🌫️🌫️🌫️🌫️🌫️🌫️⬛ ⬛🌫️🌫️🌫️🟥🟥🌫️🌫️🟥🟥🟥🌫️🌫️🟥🟥🌫️🌫️🌫️⬛ ⬛🌫️🌫️🌫️🌫️🟥🟥🟥🟥🟥🟥🟥🟥🟥🌫️🌫️🌫️🌫️⬛ ⬜⬛🌫️🌫️🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🌫️🌫️⬛⬜ ⬜⬛🌫️🌫️🟥🟥🌫️🌫️🟥🟥🟥🌫️🌫️🟥🟥🌫️🌫️⬛⬜ ⬜⬛🌫️🌫️🌫️🌫️🌫️🌫️🟥🟥🟥🌫️🌫️🌫️🌫️🌫️🌫️⬛⬜ ⬜⬛🌫️🌫️🌫️🌫️🌫️🌫️🟥🟥🟥🌫️🌫️🌫️🌫️🌫️🌫️⬛⬜ ⬜⬜⬛🌫️🌫️🌫️🌫️🌫️🟥🟥🟥🌫️🌫️🌫️🌫️🌫️⬛⬜⬜ ⬜⬜⬛🌫️🌫️🌫️🌫️🟥🟥🟥🟥🟥🌫️🌫️🌫️🌫️⬛⬜⬜ ⬜⬜⬜⬛🌫️🌫️🌫️🟥🟥🌫️🟥🟥🌫️🌫️🌫️⬛⬜⬜⬜ ⬜⬜⬜⬛🌫️🌫️🌫️🟥🌫️🌫️🌫️🟥🌫️🌫️🌫️⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛🌫️🌫️🌫️⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🌫️⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜

⬛⬛⬛⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛⬛⬛⬜ ⬛⬛⬛⬛🌫️🌫️🌫️🌫️🌫️⬛⬛🌫️⬛⬛⬛⬛ ⬛⬛⬛⬛🌫️🌫️🌫️🌫️🌫️⬛⬛🌫️⬛⬛⬛⬛ ⬛⬛⬛⬛🌫️🌫️🌫️🌫️🌫️⬛⬛🌫️⬛⬛⬛⬛ ⬛⬛⬛⬛🌫️🌫️🌫️🌫️🌫️⬛⬛🌫️⬛⬛⬛⬛ ⬛⬛⬛⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛⬛⬛⬛ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛ ⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛ ⬛⬛⬜🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬜⬛⬛ ⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛ ⬛⬛⬜🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬜⬛⬛ ⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛ ⬛⬛⬜🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬜⬛⬛ ⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛

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