Tanos Emojis & Text

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

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

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

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

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

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

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

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

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⠀⠀⠀⠀⠀⡀⢀⣠⠶⠢⢁⡄⢀⠀⠀⠀⡀⢀⡀⠀⠀⠀⠀⢼⡇⠀⡆⠱⣂⠀⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡦⠀⠀⠀⢄⢡⢰⣶⢏⣰⣇⡾⠀⡠⣔⡲⣫⣿⡶⠋⠃⢀⡁⡀⣸⡇⠠⣿⠆⣻⠇⢸⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⠀⢀⠀⠀⠎⠹⣖⢀⣶⣿⣌⢿⣿⣿⣾⣿⣷⣿⣯⣽⣷⣿⣿⠗⣺⠷⢃⣴⢷⣿⢂⣾⣿⣅⣾⢳⣟⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⡶⠀⢸⡀⠀⠀⢆⣸⣄⠰⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⣿⣿⣿⣿⣟⣾⣿⣿⣿⣿⣿⣾⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⢯⣄⠘⣷⡄⠀⠈⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣻⣷⣿⣿⣷⣾⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢩⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣜⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡾⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⢻⣿⣿⣿⡟⢧⡸⢄⠛⠼⡀⢟⡸⢻⠿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡿⠃⣺⣿⡟⢣⠜⡢⢁⠂⠈⠀⠐⠀⠂⠁⢊⠱⣻⣿⣿⣿⣿⣿⣧⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣟⣿⣹⣿⢿⠁⣴⣏⡾⢌⠇⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢹⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣟⣜⠾⣿⣿⣣⠎⠃⢀⠑⠊⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡝⠠⣹⣿⢟⠀⠀⠀⢂⡉⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠛⣿⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡁⡖⡯⢇⠣⠄⡐⡌⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⣄⣤⣴⣶⣤⣤⠀⢹⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⢸⣭⣾⣿⣤⣯⣴⣛⣤⠷⡄⢀⢲⣀⠂⡂⢴⣾⣿⣿⠿⠿⠛⠿⡿⢛⣥⢂⢽⣿⡿⠃⣵⣧⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡀⠈⠽⣦⣾⣿⡿⠋⠁⣀⣀⣀⣤⣀⣌⠞⡀⢺⣿⠁⡞⠜⣿⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠋⣿⣿⣟⢿⡟⣿⠩⡍⢩⠙⠙⠻⣿⣿⣿⡦⢤⠸⣯⣵⣧⣿⣻⣿⣿⢏⣿⣿⠿⠊⠐⠠⣿⢶⣧⡀⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣷⣠⢻⣿⢺⣽⣦⣿⣾⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⢡⡽⠈⠿⠷⢟⣬⠌⠵⠦⠄⠀⠀⠀⣿⡻⢯⡇⢢⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⡾⢿⡥⠙⠿⢟⣟⣚⠟⣋⣥⠷⠾⣿⡁⠀⠀⠋⠄⠁⠀⠄⠀⠀⠈⠀⠀⠀⠀⠀⠀⢹⡃⣸⢇⣾⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣯⣾⣷⣉⠐⡈⠌⣉⠹⢈⠀⠠⣐⢣⠆⠀⠀⠀⠠⣠⣆⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⢑⡡⠀⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣝⢿⣿⡔⡂⠔⡁⢀⠂⠄⢈⠰⢌⣧⣃⠀⠀⠀⠊⠛⢾⣣⢄⠀⠀⠀⠀⠀⠀⠤⠁⢐⡈⠀⡜⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣷⣞⣏⠴⡁⠄⠀⠀⠀⢀⢣⠟⣳⣌⠆⣄⡰⣠⣦⣼⠻⠾⣍⠧⠀⠀⠀⡐⠠⠁⠀⠙⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣔⠘⣻⢡⢓⡌⠠⠀⡄⡘⣾⣾⣿⣿⣿⣶⣷⣿⠽⠃⠀⠈⠨⣓⡂⠄⠡⠐⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⢇⠚⡤⢃⡱⠐⠤⠁⠘⢿⣯⡟⣋⣿⠆⢀⢀⣁⡀⠀⠱⢡⡋⠄⡡⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠈⡒⢧⢒⠩⡀⠤⢛⡔⢊⣣⣥⣴⡿⠟⢻⣿⣿⣆⠠⢤⠱⠊⠄⠀⠘⡂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⢋⡖⣱⣿⣾⡿⠛⠛⢉⣙⣤⣾⣯⣯⣶⢯⣙⠅⢃⠉⠀⠃⣴⣿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⢢⣹⣾⡿⣟⣵⣾⣷⣿⣿⣿⣿⣿⣿⠫⣷⠽⢃⠘⠠⠀⣰⣾⢿⣿⣿⣿⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣷⣧⡺⣵⢯⣟⣿⡻⣿⣻⢯⣻⠏⠶⡑⢆⡀⠀⠡⠆⣼⣿⢿⣸⣿⣿⣿⣿⣿⣦⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⠂⠚⣿⣿⣿⣿⣿⣿⣿⡕⣎⡾⢫⡳⡱⢿⣹⢇⡿⣆⢿⡔⠐⣐⢁⣾⣿⢾⡞⣗⢻⣿⣿⣿⣿⣿⣏⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⣬⡱⠽⣻⣼⣝⡞⢯⣃⣎⣤⣺⣿⣟⡯⣜⣯⡅⣹⢼⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣼⣶⣭⣯⣷⣯⣿⣿⣿⣿⡟⣯⢻⣧⢱⣿⣿⣿⣿⣿⣿⣿⣿⣧⡄ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡿⣿⣿⣿⣿⣿⣿⣻⣿⣟⢿⣻⠟⣁⣶⠜⢸⣹⣻⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢀⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣿⣿⣿⣿⣿⣟⣷⣾⣿⠷⣼⣿⣯⢟⣬⣷⣿⣿⣿⣿⣿⣿⣿⣿⡟ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢷⣻⣿⡿⣿⢯⡿⣯⣾⡿⡭⢆⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣻⡿⣽⡾⠿⠋⠀⠈⢱⣪⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣧⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇ ⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡃ ⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡇ ⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣞⣿⡃ ⠀⠀⠈⠻⣿⣿⡻⣿⢿⣿⡿⣿⢿⣻⢿⣟⣿⡿⣟⡿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢻⡯⣟⣾⡳⠁ ⠀⠀⠀⠀⠀⠀⠁⠉⠘⠁⠋⠙⠋⠓⠋⠘⠃⠛⠉⠙⠙⠋⠞⠿⡛⢛⠻⠿⣿⣿⠿⣿⣿⣿⡿⠿⠛⠛⠙⠿⠹⠞⠡⠃⠐⠀⠉⠐⠁⠀

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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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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣷⡀⠀⠀⣀⣤⣤⣴⣶⣾⡗⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣦⡀⠛⢿⣿⣿⣿⣿⡇⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣦⡀⠙⢿⣿⣿⠃⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡶⠀⠉⢋⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠟⠋⠀⣤⣾⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠟⠋⠀⣀⣶⣿⣿⣿⡏⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣦⡀⠀⠻⢿⣿⣿⣿⡇⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣶⣄⠀⠉⠛⢿⠇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢰⣦⣄⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣦⣀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⢸⣿⣿⣿⣿⣿⣷⡦⠀⠀⠉⢻⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⡿⠋⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣼⣿⣿⠟⠁⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣆⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⣿⣿⣿⣷⣄⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣦⡠⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣦⡈⠻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡘⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣶⣾⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠔⠋⠀⠀⠀⠀⠀⣀⠤⠒⠀⡠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⡇⠀⠀⠈⠙⢿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠡⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⠁⠀⣰⣄⢀⠈⢿⣿⣿⣧⡀⡰⠃⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠑⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⣿⣿⣿⡧⠀⢀⣿⣿⣆⠀⠀⠙⠿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⣿⣿⣿⣿⡇⠘⠻⠿⡿⣿⣆⠀⠀⣸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢣⣿⣿⡀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡀⠀ ⠀⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢴⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⡌⢆⠀⠀⢻⣏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡄ ⠿⠿⠿⠿⠿⢿⣿⣿⣿⣷⡘⣷⣤⡀⢹⡇⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⠀⠀⠀⠀⠠⣦⣤⣀⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⠁⠀⢀⠠⣤⣙⣆⠀⠁⢈⠉⢿⣿⣿⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⠟⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣽⣦⠚⠁⠀⠁⠀⠙⢆⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣦⡤⠀⣀⡀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣆⠀⠀⠀⠀⠀⢠⣿⣿⣿⣆⠀⠀⠀⠀⠀⠈⢻⣶⣦⣤⣀⣠⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⡶⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡞⠀ ⠀⠀⠀⠀⣠⣿⣿⣆⠀⠀⡀⣴⣸⡿⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠛⠛⠋⠁⠀⠉⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡇⠀⠀⠀⢸⣿⡿⠟⣣⡄ ⠀⠀⠀⠀⢹⣿⣿⣿⣷⣶⣿⣿⣿⣇⣻⣿⣽⣿⣿⣿⡆⠀⠀⠀⢀⣤⣶⣏⣠⡤⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⠿⢿⡟⠛⢻⣟⣿⣇⠀⠀⣾⠟⢀⣾⣿⠁ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣧⣤⣶⠾⠟⠛⠉⠉⠹⣧⠀⠀⠀⠀⠀⠀⢀⣀⠙⢿⣿⣿⣤⣀⠀⠈⠛⠉⠁⠁⠀⠈⠁⣰⣿⣿⡏⠀ ⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⡇⠸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠈⢹⣦⡀⠈⠻⣿⣟⣻⣿⡿⠂⠀⠀⢠⣴⣾⣿⣿⡿⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢹⡇⠀⢿⢿⣷⡀⠀⠀⠀⠀⠀⠀⠘⠦⣀⣤⣤⣤⠆⠉⠻⣷⣤⣴⣿⣿⣿⣿⡄⠀⢀⣴⣿⣿⣿⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⠁⠀⠀⠘⠉⢻⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⡟⠁⣠⣾⣿⣿⣿⣿⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠼⣿⣳⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⢀⠀⣿⣿⣿⣿⣯⣴⣾⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⠉⡟⠿⢿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠂⠀⠉⠛⠿⣿⣿⣿⣿⡷⡦⠀⠾⠟⠁⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣡⡄⢺⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠐⠢⢤⣄⣀⣀⣈⣙⡉⠀⠀⠀⠀⠀⠀⠀⠀⢠⢸⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠉⠃⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢸⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠷⠄⣶⣶⣶⣤⡀⠀⠠⢤⣾⣿⣿⣶⡄⠀⣀⠀⢀⠤⠶⠗⠒⠀⠀⠀⠀⠀⠸⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣷⣤⣀⣉⣙⣛⡋⡀⠀⣠⣶⡄⠀⠀⢀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⡀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⠿⢿⣿⠏⠻⠿⠉⠉⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠀⠀⠀ ⠀⠀⠀⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠀⠀⠀ ⠀⠀⠀⠻⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⠟⠀⠀⠀ ⠀⠀⠀⣀⠈⠻⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡟⠁⣀⠀⠀⠀ ⠀⠀⠀⣿⣦⡀⠘⢿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡿⠋⢀⣴⣿⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣦⡀⠙⢿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡿⠋⢀⣴⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠙⢿⣿⣿⣿⣦⡀⠙⢿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡿⠋⢀⣴⣿⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⣤⡀⠹⣿⣿⣿⣿⣦⡀⠙⢿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡿⠋⢀⣴⣿⣿⣿⣿⠏⢀⣤⠀⠀⠀ ⠀⠀⠀⣿⣿⣦⡈⠻⣿⣿⣿⣿⣦⡀⠙⢿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⡿⠋⢀⣴⣿⣿⣿⣿⠟⢁⣴⣿⣿⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣦⡈⠻⣿⣿⣿⣿⣦⡀⠙⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⠋⢀⣴⣿⣿⣿⣿⠟⢁⣴⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠈⠻⣿⣿⣿⣿⣆⠈⠻⣿⣿⣿⣿⣦⠈⢿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡿⠁⣴⣿⣿⣿⣿⠟⢁⣴⣿⣿⣿⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣷⣄⠈⢿⣿⣿⣿⣧⠈⢿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡿⠁⣼⣿⣿⣿⡿⠁⣠⣾⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⣤⣀⠙⢿⣿⣿⣿⣷⡀⢻⣿⣿⣿⣧⠈⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⠁⣼⣿⣿⣿⡟⢀⣾⣿⣿⣿⡿⠋⣀⣤⣀⡀⠀⠀⠀ ⠀⠀⢠⣿⡟⠛⣿⣧⠀⠙⣿⣿⣿⣿⡄⢻⣿⣿⣿⡆⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⢰⣿⣿⣿⡟⢠⣿⣿⣿⣿⠋⠀⣾⡿⠛⢻⣷⡀⠀⠀ ⠀⠀⠈⢿⣷⣴⣿⠏⠀⠀⠘⣿⣿⣿⣷⠈⣿⣿⣿⣷⠀⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⠁⣾⣿⣿⣿⠁⣾⣿⣿⣿⠃⠀⠀⠻⣿⣦⣾⡿⠀⠀⠀ ⠀⣶⣄⣀⣉⣉⣁⣀⣀⠀⠀⢻⣿⣿⣿⡆⣿⣿⣿⣿⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⣿⣿⣿⣿⢠⣿⣿⣿⡟⠀⠀⣀⣀⣈⣉⣁⣀⣠⣾⠀ ⠀⠻⣿⣿⣿⣿⣿⣿⣿⣷⠀⢸⣿⣿⣿⣇⣿⣿⣿⣿⢠⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⡄⣿⣿⣿⣿⣸⣿⣿⣿⡇⠀⣾⣿⣿⣿⣿⣿⣿⣿⠟⠀ ⢠⣄⠈⠙⠛⠛⠛⠛⠋⠁⠀⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⡇⠀⣴⣿⠿⣿⣿⣿⡟⠃⠀⢸⣿⣿⣿⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠙⠛⠛⠛⠛⠋⠁⢠⡄ ⠘⣿⣷⣶⣶⣶⣶⣶⣶⣆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠸⠿⣿⣿⣿⣿⣿⡇⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⣶⣶⣶⣶⣶⣶⣾⣿⠇ ⠀⠈⠻⠿⠿⠿⠿⠿⠿⠏⠀⣿⣿⣿⣿⣿⣿⠁⠀⠀⠉⠻⠿⠟⠀⠀⠀⣸⣿⣿⣿⣿⣧⠀⠀⠀⠻⠿⠟⠉⠀⠀⠈⣿⣿⣿⣿⣿⣿⠀⠘⠿⠿⠿⠿⠿⠿⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡀⠹⣿⣿⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣿⠏⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⠟⠀⠈⠻⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⣴⣾⣿⣿⣿⣿⣿⠙⣿⣿⣷⣤⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⠟⠁⠀⠻⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀ ⠀⠀⠴⠿⠿⠿⠟⠛⠉⠁⠀⣰⣶⣦⡀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⢀⣤⣶⣆⠀⠈⠉⠛⠻⠿⠿⠿⠦⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠟⠁⢀⣶⣤⡀⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣠⣶⣿⣿⣿⡿⠟⠛⠉⢀⣤⣶⡄⠀⠻⢿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠉⠀⠀⠀⢸⣿⡿⠃⠀⣶⣶⣤⠈⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⣠⣶⣶⠀⠘⢿⣿⡇⠀⠀⠀⠉⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠁⠀⠀⠻⠟⠋⠀⠀⣿⣿⣿⣿⣿⣿⠋⠙⣿⣿⠀⠀⠘⠻⠟⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣦⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠀⠀ ⠀⣼⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣧⠀ ⣸⣿⣿⣿⣿⣿⣿⣷⣦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⠿⠛⠋⠉⠉⠉⠛⠛⠻⢿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⣿⣿⣿⣿⣿⣿⣿⡆ ⢿⣿⣿⡏⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⢹⣿⣿⡟ ⠀⢩⣿⣿⣷⣦⣤⣤⣤⣀⣀⣀⡀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣿⣷⡄⠀⠀⠀⢀⣀⣀⣀⣤⣤⣤⣴⣾⣿⣿⡁⠀ ⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢠⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⡄⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀ ⢰⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⠁⢠⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡄⠈⠛⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⡄ ⠈⠻⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣷⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⡿⠟⠁ ⠀⠀⠀⠈⠉⠉⢉⣿⣿⣿⣿⣿⣷⣦⣄⣉⠛⠛⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣠⣴⣾⣿⣿⣿⣿⣿⠉⠉⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣷⣶⣦⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣴⣶⣾⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⡇⠀⣼⣿⣿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢉⣁⡄⠀⣸⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⠁⠀⣿⣿⡏⠀⢸⣿⣿⡇⠀⠉⢿⣿⠉⢹⣿⣿⠉⠉⣉⣉⣀⠀⢸⣿⣿⡆⠀⢿⣿⣿⠉⠘⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣶⣤⣄⣉⠁⠀⣸⣿⣿⠇⠀⣄⠀⠙⠀⢸⣿⣿⣦⣤⣄⣉⡉⠉⢻⣿⣿⡇⠀⠈⢉⣠⣤⣶⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⣿⣿⣷⣿⣿⣿⣄⣀⣿⣷⣄⠀⢸⣿⣿⡀⠀⠉⣉⣁⣀⣸⣿⣿⣷⣶⣿⣿⠿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⡉⠙⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⢉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣶⣶⣤⣤⣤⣄⣀⣀⣀⣈⣀⣀⣤⣤⣤⣴⣶⣶⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠿⠿⣿⣿⠿⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⣀⠀ ⢸⣿⡇⠀⣀⣴⣾⣿⣿⣿⣿⣿⠟⠻⣿⣿⣿⣿⣿⣷⣦⣀⠀⢸⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⣿⣿⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣼⣿⣿⣧⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⡇⠉⠙⠛⠛⠿⠿⠿⢿⣿⣿⣿⣿⡿⠿⠿⠟⠛⠛⠋⠁⢸⣿⡇ ⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁

⠀⠀⠀⠀⠀⠀⣠⣾⣷⡀⢀⣾⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀ ⠀⠀⢀⣼⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣧⡀⠀⠀ ⠀⢀⣾⣿⣿⣿⣿⣿⠁⣤⣤⠈⣿⣿⣿⣿⣿⣷⡀⠀ ⠀⣸⣿⣿⣿⣿⣿⣿⠈⢿⡿⠀⣿⣿⣿⣿⣿⣿⣇⠀ ⢀⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⡀ ⠘⠿⢿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⠿⠃ ⠀⢀⣀⡈⠉⠛⢿⣿⣿⠀⠀⣿⣿⡿⠛⠉⢁⣀⡀⠀ ⢰⣿⣿⣿⡆⠀⢸⣿⣿⣷⣾⣿⣿⡇⠀⢰⣿⣿⣿⡆ ⣿⣿⣿⣿⣿⠀⣠⣿⣿⣿⣿⣿⣿⣦⡀⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠟⠋⠙⣿⣿⣿⣿⠋⠙⠻⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠀⠀⠀⠙⠛⠛⠋⠀⠀⠀⣿⣿⣿⣿⣿ ⢻⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡟ ⠘⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⠃

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠏⠹⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⣦⠀⣿⣿⣿⠀⠀⣿⣿⣿⠀⣾⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⠀⢿⣿⣿⣦⣴⣿⣿⡿⠀⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣦⡀⠀⠀⠀ ⠀⢀⣴⣿⣿⣿⣿⠀⣰⣿⡏⠉⠉⢹⣿⣆⠀⣿⣿⣿⣿⣦⡀⠀ ⣴⣿⣿⣿⣿⣿⣿⢀⣿⡟⠀⠀⠀⠀⢻⣿⡄⣿⣿⣿⣿⣿⣿⣦ ⣿⣿⣿⣿⣿⣿⣿⣸⣿⣇⣀⣀⣀⣀⣸⣿⣇⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢻⣿⡟⠛⠛⠛⠛⢻⣿⡟⣿⣿⣿⣿⣿⣿⣿ ⢿⡿⠟⠋⠀⠈⠉⠸⣿⣿⣿⣿⣾⣿⣿⣿⠃⠈⠁⠀⠙⠻⢿⡿

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⡀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡟⠀⠀⢀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣾⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣶⣄⠈⣿⣿⣿⣿⣿⣿⠁⣠⣶⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠐⠻⢿⣿⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣏⣼⣿⣿⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣷⡄⠀⠀⠀⠀ ⠀⠀⢀⣾⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⡄⠀⠀⠀ ⠀⢀⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡄⠀⠀ ⠀⣼⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣷⠀⠀ ⢰⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡆⠀ ⣼⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣷⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀ ⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⠿⠿⠿⣿⣿⣿⣿⡿⠿⠿⠿⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜ ⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜ ⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛ ⬛⬛⬛⬛⬛⬛⬛⬜⬜⬛⬛⬛⬛⬛⬜⬜⬛⬛⬛⬛⬛⬛⬛ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛ ⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬛⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛ ⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜ ⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬜⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬜⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜🟪⬜⬜⬛⬛⬛⬜⬜🟪⬜⬜⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬜⬜⬜⬛⬜⬜⬜⬛⬜⬜⬜⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬛⬛⬛⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬜⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬛⬛⬜⬜⬜⬜ ⬜⬜⬛⬛⬜⬜⬛⬜⬛⬛⬛⬛⬛⬛⬛⬜⬛⬜⬜⬛⬛⬜⬜ ⬜⬜⬛⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬛⬜⬜ ⬜⬜⬛⬜⬜⬜⬛⬜⬛🟥🟥🟥🟥🟥⬛⬜⬛⬜⬜⬜⬛⬜⬜ ⬜⬜⬜⬛⬛⬛⬜⬜⬛🟥🟨🟥🟨🟥⬛⬜⬜⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥⬛🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛🟨🟨⬛⬜⬛🟨🟨⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟨🟨🟨🟨🟨⬛🟨🟨🟨🟨🟨⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛🟨🟨🟨🟨⬛🟨🟨🟨🟨⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜

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⠀⠀⢀⣴⠀⠀⣴⣿⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⣿⢀⣾⣿⣿⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣶⣄⣀⣤⣶⡄⠀⠀⠀⠀ ⢠⣿⣿⣿⣼⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⣀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠉⠉⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠀ ⠘⣿⣿⣿⣿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀ ⠀⠀⠀⣴⢛⣠⣤⣀⠀⠀⠀⢀⣠⣤⣀⠀⠐⠿⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⠀⢀⡿⠋⠁⠀⠉⠻⣦⡾⠋⠀⠀⠈⠹⣆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀ ⠀⠀⢸⡁⣶⡆⠀⠀⠀⣸⠁⠀⠀⣤⡄⠀⢸⡄⢰⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀ ⠀⠀⠘⣧⡀⠀⠀⣰⠞⠹⣆⠀⠀⠉⠀⢀⡾⠀⢸⣿⢟⡻⣿⣿⡿⠋⠀⠀⠀⠀ ⠀⠀⢀⡾⠛⡿⠋⠁⠀⠀⠈⠳⠦⠤⠴⠟⠁⠀⠈⠁⢛⡷⣽⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⠁⠀⠳⢤⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠷⣤⣄⣀⣀⣀⣀⣠⣤⣤⡤⠶⠿⠆⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⠙⠧⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠿⣦⣀⠀⣀⠤⣄⣤⠶⠛⠁⠀⢻⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢃⣼⣿⣿⣧⣤⠚⠉⠀⠀⠀⠀⣠⣿⡟⢳⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡸⣿⣿⣿⣿⡏⠀⠀⠀⢀⣤⠾⢻⡏⠀⠀⢻⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠟⣿⣿⠛⢿⣤⡴⠾⠋⠁⢴⣿⠀⠀⠀⠈⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢻⡀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⢹⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⢀⣼⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣻⣇⣀⣷⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣿⡇⠀⠀⠸⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣤⣤⣶⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠃⣨⣿⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⡿⠻⢿⠿⠻⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣦⣿⣧⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣟⣰⡆⢠⠀⣄⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⣼⣿⠉⠛⠛⠻⠶⠶⠶⣦⣴⣶⣼⣿⢿⡇⣸⠀⣿⡼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠰⢶⣦⣤⡄⠀⠀⠀⠈⠛⢻⡞⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⣸⠃⢸⠃⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣯⣈⠛⡷⠶⠂⠀⣹⣦⡿⣤⣄⣀⣀⡀⠀⢻⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡏⠛⠛⠛⠛⠛⣏⠈⠳⣦⣍⣉⣉⣡⣤⣾⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⢀⡇⠀⠀⢿⠀⠉⠉⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣶⣄⣀⣠⣼⣿⡀⠀⣸⣄⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣣⣾⣿⣿⣷⣦⣤⣴⣿⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⠿⠿⠿⠟⠛⠉⠀⠈⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣿⠿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬛⬛⬛⬛🟨🟨🟨🟨🟨⬛⬛⬛⬛⬜ ⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜ ⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜ ⬜⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜⬜ ⬜⬛🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨🟨⬛⬜ ⬜⬛🟨⬛⬛🟨🟨🟨🟨🟨⬛⬛🟨⬛⬜ ⬜⬛🟨🟨🟨⬛🟨🟨🟨⬛🟨🟨🟨⬛⬜ ⬜⬜⬛⬛🟨🟨🟨🟨🟨🟨🟨⬛⬛⬜⬜ ⬜⬛🏾🏾⬛⬛🟨🟨🟨⬛⬛🏾🏾⬛⬜ ⬜⬛🏾🏾⬛🟨⬛⬛⬛🟨⬛🏾🏾⬛⬜ ⬜⬜⬛⬛🟨🟨⬛🏾⬛🟨🟨⬛⬛⬜⬜ ⬛⬛🟨🟨⬛🟨🟨⬛🟨🟨⬛🟨🟨⬛⬛ ⬛🟨🟨🟨⬛🟨🟨⬛🟨🟨⬛🟨🟨🟨⬛ ⬜⬛⬛🟨🟨⬛⬛⬛⬛⬛🟨🟨⬛⬛⬜ ⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥🟧⬛⬛⬛⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜ ⬜⬜⬛⬛⬛⬛⬛⬛🟥⬛🟧🟧🟧🟧⬛🟥🟥⬛🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🟥🟧🟧🟧⬛🟧🟧🟧🟧🟧🟧⬛⬛🟥⬛🟥⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧⬛⬛⬜⬜⬜ ⬛⬛⬛⬛⬛🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧⬛⬜⬜ ⬜⬛🟥🟥🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧⬛⬜ ⬜⬜⬛⬛🟧🟧🟧🟧🟥🟧⬛🟧⬛🟧🟧🟧🟧🟧🟧🟧🟧⬛🟧⬛ ⬜⬜⬜⬛🟧🟧🟧🟥⬛⬛🟧⬛🟥🟧🟧🟧🟧🟧⬛🟥🟧🟧⬛⬜ ⬜⬜⬛🟧🟧🟧⬛🟥⬛🟧⬛🟥🟧⬛🟧🟧🟧⬛🟧🟧🟧🟧⬛⬜ ⬜⬛🟧🟥⬛⬛🏼⬛🏼⬛🟥🟧⬛⬛⬛🟧⬛🏼⬛🟧🟧⬛⬜⬜ ⬜⬛🟥⬛🏼🏼🏻🏼⬛🟥⬛⬛🏼🏼⬛⬛🏼🏻🏼⬛⬛🟥⬛⬜ ⬜⬛🟧⬛🏼🏻🏻🏻🏼⬛🏼🏼🏻🏻🏼🏼🏻🏻🏻🏼⬛🟧⬛⬜ ⬜⬛🟧⬛⬛⬛⬛🏻🏻🏼🏻🏻🏻🏻🏻🏻⬛⬛⬛🏻⬛🟧⬛⬜ ⬜🟥⬛⬛🟦🟦⬜⬛🏻🏻🏻🏻🏻🏻🏻⬛🟦🟦⬜⬛⬛⬛⬜⬜ ⬜⬛🟧⬛🟦⬛⬜⬛🏻🏻🏻🏻🏻🏻🏻⬛🟦⬛⬜⬛⬛⬜⬜⬜ ⬜⬛🟧⬛🟦⬜⬜⬛🏻🏻🏻🏻🏻🏻🏻⬛🟦⬜⬜⬛⬛⬜⬜⬜ ⬜⬛🟥⬛⬛⬛⬛🏻🏻🏻🏻⬛🏼🏻🏻🏻⬛⬛⬛🏻⬛⬜⬜⬜ ⬜⬜⬛⬛🏼🏻🏻🏻🏻🏻🏻🏼🏼🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜ ⬜⬜⬜⬛🏼🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜ ⬜⬜⬜⬛🏼🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🏼🏼🏻🏻🏻⬛🏻⬛🏼🏻🏻🏻🏻⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛🏼🏻🏻🏻⬛🏼🏻🏻🏻⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜

⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬛🌫️🌫️🌫️🟩⬜⬜⬜⬜⬜⬛⬜⬜ ⬜⬜⬜⬛🌫️⬜🟩⬜⬜⬜⬜⬜⬜⬛⬜⬜ ⬜⬜⬛⬛🌫️⬜🟩🟩🟩🟩⬜⬜🟥⬛⬜⬜ ⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬛⬛⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛ ⬛⬛⬛🟨🏻⬛🏻🏻🏻⬛🏻🏻🏻⬛⬛⬛ ⬜⬛⬛🟨🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛⬛⬜ ⬜⬜⬛🟨🏻🏻⬛⬛⬛🏻🏻🏻🏻⬛⬜⬜ ⬜⬜⬛🟨🟨🏻🏻🏻🏻🏻🏻🏻🏻⬛⬜⬜ ⬜⬜⬛⬛🟨🟨🟨🏻🏻🏻🏻🏻⬛⬛⬜⬜ ⬜⬜⬜⬜⬛🌫️🌫️⬛⬛🌫️🌫️⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🌫️🟦🟦🏽🏽🟦🟦🌫️⬛⬜⬜⬜ ⬜⬜⬛🌫️⬛🟦🟦🏽🏽🟦🟦⬛🌫️⬛⬜⬜ ⬜⬜⬛🏻⬛🟦🟦🏽🏽🟦🟦⬛🏻⬛⬜⬜ ⬜⬜⬛🟩⬛🟧🟧🏽🏽🟧🟧⬛🟩⬛⬜⬜ ⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🏽🏽⬛⬛🏽🏽⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬜⬜⬛⬛⬛⬜⬜⬜⬜

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜ ⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜ ⬜⬛⬛🏿⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🏿⬛⬛⬜ ⬜⬛🏿⬛⬛🏿⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🏿⬛⬜ ⬜⬛🏿⬛🏿⬛🏿⬛🏿⬛⬛🏿⬛🏿⬛⬛⬛🏿⬛⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬛🏻⬛⬛⬛⬛⬛⬛⬛⬛⬛🏻🏻⬛⬛⬛⬛⬛🏻⬛ ⬛🏻⬛⬛⬛⬛⬛⬛⬛🏻🏻🏻🏻🏻⬛⬛⬛⬛🏻⬛ ⬛🏻🏻⬛⬛⬛⬛🏻🏻🏻🏻🏻🏻⬛🏻⬛⬛🏻🏻⬛ ⬜⬛🏻⬛🏻🏻⬛🏻🏻🏻🏻🏻🏻⬛🏻🏻⬛🏻⬛⬜ ⬜⬜⬛⬛🏻🏻⬛🏻🏻🏻🏻🏻🏻⬛🏻🏻⬛⬛⬜⬜ ⬜⬜⬜⬜⬛🌫️🌫️🏻🏻🏻🏻🏻🏻🌫️🌫️⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🌫️🏻🏻🏻🏻🏻🏻🌫️⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬜⬛🌫️⬜⬜🌫️⬛⬜⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬜⬜🌫️⬛⬛⬛⬛🌫️⬜⬜⬛⬜⬜⬜⬜ ⬜⬜⬜⬛⬜⬜⬛🌫️🌫️⬛⬛🌫️🌫️⬛⬜🏻⬛⬜⬜⬜ ⬜⬜⬛🏻🏻⬛🌫️🌫️🌫️🌫️🌫️🌫️🌫️🌫️⬛🏻🏻⬛⬜⬜ ⬜⬜⬛🏻🏻⬛⬛🌫️🌫️🌫️🌫️🌫️🌫️⬛⬛🏻🏻⬛⬜⬜ ⬜⬜⬜⬛⬛⬛🏿⬛⬛⬛⬛⬛⬛🏿⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛🏿🏿⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🏿🏿🏿⬛⬛🏿🏿🏿⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🏻🏻⬛⬜⬜⬛🏻🏻⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬜⬛⬛⬜⬜⬛⬛⬜⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜

⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣤⣄⠀⠀⠀⠀⠀⢀⣤⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀ ⢴⣾⣿⣿⣿⣏⣉⣉⣉⣛⣛⣻⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠙⢷⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣾⣿⣛⣛⣋⣉⣉⣉⣿⣿⣿⣿⣶⠄ ⠀⠙⢿⣿⣿⣿⡁⠀⠀⣉⡿⠋⠉⠉⠙⠛⠻⢿⣦⣄⠀⠀⠀⠀⠘⣇⠀⢀⡟⠀⠀⠀⠀⢀⣤⣾⠿⠛⠋⠉⠉⠉⠻⣏⡉⠀⠈⣹⣿⣿⣿⠟⠁⠀ ⠀⠀⠀⠙⣿⣿⣟⠉⠉⣙⡇⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣦⡀⠀⠀⢹⠀⣸⠃⠀⠀⣠⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⢀⣿⡉⠉⠹⣿⣿⡟⠉⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣿⣟⠉⢉⣿⣦⣄⣀⣀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠸⡇⡿⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⢀⣀⣀⣤⣾⣍⠉⠙⣿⣿⡯⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⣿⣿⠉⠀⠀⣀⣨⡟⠛⠛⠒⠒⠤⢄⣀⠀⠙⢿⣆⣷⣧⣾⠟⠁⠀⣀⠤⠄⠒⠚⠛⠛⣯⣀⡀⠀⠉⢹⣿⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡟⠉⣀⡤⢷⡦⠄⠀⠀⠀⠀⠈⠙⠢⣌⣻⣿⣿⢋⠤⠚⠉⠀⠀⠀⠀⠀⠠⣶⠷⣄⡈⠙⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣁⡤⠾⣷⣤⣴⠶⢶⣒⡻⠿⠿⢛⣿⣿⣿⣟⠛⠽⠿⢓⣲⠶⢶⣦⣴⡟⠦⣄⣹⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⣿⣿⣿⢛⣉⠥⠒⠉⠁⠀⣀⠔⢈⠔⣽⣿⣿⡝⢌⠒⢄⡀⠀⠉⠑⠢⢍⣙⢻⣿⣿⡟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠋⠀⠀⠀⢀⡤⠊⠀⡴⠋⣼⡟⣿⡟⢿⡄⠳⡄⠈⠢⣀⠀⠀⠀⠈⢻⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣯⢽⣀⠀⣀⣴⡏⠀⢀⡞⠁⣸⡿⠀⠉⠀⠘⣿⡀⠙⣆⠀⠘⣷⣄⡀⢀⡸⢯⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣿⣿⡶⠋⡿⠋⣽⠷⣶⡟⠀⢰⣿⠃⠀⠀⠀⠀⢹⣧⠀⠘⣷⡖⢿⡍⠻⡏⠳⣶⣿⡟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣷⡞⠀⢠⡇⢰⡟⠀⠀⣾⡏⠀⠀⠀⠀⠀⠈⣿⡆⠀⠘⣧⠀⣷⠀⠹⣶⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣶⡟⠙⣿⡀⠀⣰⡿⠀⠀⠀⠀⠀⠀⠀⠸⣷⡀⠀⣹⣟⠙⣷⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣿⣿⣿⡿⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⣿⣿⣿⣿⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟩🟩🟩⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛⬛⬛⬛⬜⬛🟨🟨🟨🟨🟨⬛⬜⬛⬛⬛⬛⬜⬜ ⬜⬛🟨🟨🟨🟨⬛🟨🟧🟨🟨🟨🟧🟨⬛🟨🟨🟨🟨⬛⬜ ⬜⬛🟧🟨🟨🟧🟨🟧🟨🟨🟧🟨🟨🟧🟨🟧🟨🟨🟧⬛⬜ ⬛🟧🟨🟨🟧🟨⬛🟨🟧🟧🟧🟧🟧🟨⬛🟨🟧🟨🟨🟧⬛ ⬛🟧🟧🟧🟨⬛⬛⬛🟧🟧🟧🟧🟧⬛⬛⬛🟨🟧🟧🟧⬛ ⬛🟧🟧🟧🟨⬛⬛⬛🟧🟧🟧🟧🟧⬛⬛⬛🟨🟧🟧🟧⬛ ⬛🟧🟧🟧🟨⬛⬛⬛🟧🟧🟧🟧🟧⬛⬛⬛🟨🟧🟧🟧⬛ ⬛🟧🟧🟧🟧🟧⬛🟧🟧🟨🟨🟨🟧🟧⬛🟧🟧🟧🟧🟧⬛ ⬛🟧🟧🟧🟨🟨🟧🟧🟨⬛⬛⬛🟨🟧🟧🟨🟨🟧🟧🟧⬛ ⬛🟧🟧🟨⬛⬛🟧🟧🟧🟧⬛🟧🟧🟧🟧⬛⬛🟨🟧🟧⬛ ⬛🟧🟧🟨⬛🟨🟧🟨🟧🟨🟧🟨🟧🟨🟧🟨⬛🟨🟧🟧⬛ ⬜⬛🟧🟨⬛⬛🟨⬛🟨⬛🟨⬛🟨⬛🟨⬛⬛🟨🟧⬛⬜ ⬜⬛🟧🟧🟧🟧⬛⬛⬛⬛⬛⬛⬛⬛⬛🟧🟧🟧🟧⬛⬜ ⬜⬜⬛⬛🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧⬛⬛⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟪⬛🟪⬛🟪⬛🟪⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟪🟪⬛🟪🟪🟪⬛🟪🟪⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟪🟪⬛🟪🟪🟪🟪🟪⬛🟪🟪⬛⬜⬜⬜⬜ ⬜⬜⬜⬛🟪🟪🟪⬛🟪🟪🟪🟪🟪⬛🟪⬛🟨⬛⬜⬜⬜ ⬜⬜⬜⬛⬛🟪⬛🟪🟪🟪🟪🟪🟪🟪⬛🟧🟧🟨⬛⬜⬜ ⬜⬜⬜⬜⬛⬛⬛🟪🟪🟪🟪🟪🟪⬛🟨🟧🟧⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟪🟪🟪🟪🟪🟪🟪⬛🟨⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟪🟪🟪🟪🟪🟪🟪🟪🟪⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜

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