Muscle Bunny Emojis & Text

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠛⠛⠛⠳⠖⠆⠠⣄⣠⣤⠔⠉⠉⠙⠉⠑⠓⠒⠦⢤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢠⣿⣥⣶⠟⣿⣽⣿⠏ ⠀⣀⡄⠀⠀⢀⡠⠔⠛⠉⠉⠉⠉⢉⣩⡷⠟⡗⠀⠀⣀⣤⡴⠖⠛⠉⠀⠀⠀⠀⢀⠈⠀⠀⠀⠂⠀⠦⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⢀⡄⠁⣤⣤⣤⡄⣗⣛⣻⣿⣿⣆⣿⡄⣿⣦ ⠊⠉⢀⣠⠚⢉⣀⣀⣤⣴⣶⡶⠿⠟⠉⢀⣰⡷⠞⢋⣉⣠⣶⠀⠀⠀⠀⠀⠆⡤⢀⡠⠂⠀⠀⣰⢆⡰⢴⣦⡹⣆⠀⠀⠀⠀⢀⣴⢏⣀⣀⣬⣭⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠘⠛⠛⠛⠋⠉⠉⠉⠁⠀⠀⣀⣤⡴⠟⣉⣀⣤⡾⠻⠽⡇⠀⠀⠀⠀⢀⡼⡱⠋⠀⠀⠀⣼⠃⠈⠇⠀⣠⡼⠟⢿⡷⣄⣠⡞⠁⠀⠉⠉⠛⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⣠⣾⠟⣋⣉⣵⣀⠀⠁⣤⠀⠀⠀⡾⠁⠀⣀⡔⠀⢐⣻⣤⣀⣀⣀⣿⣇⠀⠀⢿⡘⢻⡄⠀⠀⠀⠀⡀⠀⠉⠉⠉⠉⠉⠉⠛⣛⣛⣻⣿⣟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣩⣿⣿⡏⠀⠉⠉⢉⣩⣭⠿⠟⢀⠀⠀⡇⡆⢸⠉⠕⠀⢿⣿⡿⠛⣽⣍⡙⣿⡆⢠⡀⠙⢧⠻⣆⠀⠀⠀⠐⠂⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣟⡿⠉⢷⠶⠞⠛⠉⠁⠀⠀⣠⠏⠋⢰⣷⣶⣿⠲⠶⠦⠄⠁⠀⠀⠈⢛⢿⣿⣿⡈⣿⠀⠈⠳⣞⢷⣄⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠏⣨⣷⠚⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⣜⠟⣠⠄⠀⠚⣉⠁⠀⠀⠀⠀⠀⠀⠩⣟⣷⡌⢷⡀⠀⠈⠑⠘⣷⣤⣀⣀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⣴⠿⠃⠀⠀⠀⠀⠀⠀⠀⠈⢇⠁⠀⠀⠈⣿⢧⡠⠀⠠⣍⠀⠀⢀⡀⠀⠀⠀⠈⠛⠛⣿⡿⢿⣦⣀⣀⣼⣿⣇⣤⢀⡄⢉⡀⢀⣀⠘⢿⣿⣿⣿⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⢉⣴⡾⠃⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠻⠀⠐⠀⠀⠈⠃⠙⠲⠤⢤⣀⠀⣀⠈⡁⠀⠀⠀⣀⡴⠛⠳⣤⡉⠙⠛⠛⠋⠉⣽⠋⣼⣿⣵⣿⠟⠀⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⢸⣤⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢀⣤⣴⡾⠋⠀⠀⠀⠈⠻⣦⠀⠀⠀⠴⠀⠸⣿⠋⠈⠁⠀⣼⣿⣿⡏⣿⣷ ⠀⠀⠀⠀⣀⣴⣿⣟⠁⠀⠀⠀⣀⣤⠞⠛⠉⢙⡻⠆⠴⠒⠀⠀⠉⢿⣶⣷⣷⣶⣶⣶⣶⣶⣶⣾⣾⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠈⠻⠾⠿⠶⣤⣀⠈⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿ ⠀⣀⣤⣾⣿⠟⠙⣿⣷⣤⡶⠛⠋⠀⠀⠀⠀⡨⠖⠃⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢄⠀⠀⠀⠉⠻⣦⡀⠀⢸⡿⢋⣵⣿⣿⣿ ⣾⣿⠿⠿⠿⠿⠿⣿⣿⡟⠀⠀⠀⠀⡄⠀⠘⢦⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⢧⢀⠀⠀⠀⢻⣷⡀⠈⢠⣾⣿⣿⣿⣿ ⠉⠀⠀⠀⠀⠀⠀⠀⣿⡇⢠⡆⠀⢰⠃⠀⠀⠀⣨⡟⠑⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣖⠒⠂⠀⠀⠈⡧⠀⢀⣸⣿⣧⣴⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⣠⣿⣧⠀⢷⠀⢸⣷⣆⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⠲⣾⣯⣿⣾⠉⢠⣏⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣀⣴⠞⠉⠈⢻⣦⣸⣦⣼⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣤⣄⡿⣫⣸⣿⠏⢻⣿⣿⣿⣿⣿⣿ ⠀⠀⠐⠿⣿⣿⠀⠀⠀⠀⠉⢻⠙⢉⠿⠿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⡿⢿⡿⠿⡽⡿⠟⠁⠀⠀⠙⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢹⡿⠀⡀⠀⠀⠀⢈⣷⠋⠀⠀⢈⣿⣿⣷⣆⡀⠀⠀⠀⠀⡀⠀⠀⠀⣀⣼⣿⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡏⠀⠀⠁⠀⠀⠀⠀⠀⢀⠸⡀⣿⡏⠉⠉⠛ ⣆⠀⠀⠀⣼⣃⣼⠃⠀⠀⠀⣾⠋⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⠿⠛⠁⠀⠉⠛⠿⣿⣶⣷⣶⣶⣶⣶⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⡀⠀⠀⠀⢸⡆⠀⣿⣿⣄⠀⠀ ⡏⡀⠀⣰⣟⡟⠁⢦⠀⠀⡾⠁⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠁⠀⢀⢀⣀⠀⠀⢀⣀⠈⠙⣻⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠈⠁⠀⠀⣸⠃⢀⣿⣿⣿⣷⣔ ⠁⣴⡾⣿⡿⢰⠀⢨⣶⣿⣁⠀⢀⣴⣿⣿⠟⢿⣿⣿⣿⣿⣿⣿⠿⣶⣶⣶⡟⠉⠻⠿⠶⠛⠿⠿⠿⠿⠿⠟⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡆⢀⠀⣀⣤⣆⣰⠋⠀⠘⣿⡟⢿⣿⡿ ⣿⠉⢸⣿⠀⣻⠀⠾⣻⣿⣯⣶⣿⣿⡿⠁⠀⠀⢠⣿⣿⣿⢻⣷⢠⣤⣀⠀⠀⣀⡀⠀⠀⠀⢀⣀⣀⣀⣤⡶⢛⡿⢫⣽⣿⣿⠟⠉⢿⣿⣿⣿⣿⣶⣾⡿⠇⠀⢸⠀⠻⣧⠀⠹⣿ ⣿⠀⣼⣿⠀⣿⠀⠀⠁⣿⣿⣿⡿⠋⠀⠀⠀⠀⢸⣿⣿⣿⢻⣿⣾⠿⠿⠿⠿⠿⠷⠶⠶⠿⠿⠟⠛⠛⠋⢀⣫⣶⣿⣿⣿⣿⠀⠀⠀⠹⣿⣿⣿⣿⣿⡃⠲⠀⢈⡇⢠⣿⣇⡀⠈ ⣿⣶⣸⠟⡇⠘⡆⠀⠀⠘⣿⣿⡅⠀⠀⠀⠀⠀⢸⣿⢿⣿⣦⣿⡿⣶⣤⣀⠀⣀⣀⠀⠀⠀⠀⢀⣠⣴⣾⣿⡿⣋⡴⠟⠁⣿⠀⠀⠀⠀⢈⣿⣿⣿⡿⢃⠀⠀⢸⣆⣿⣿⣿⣿⣶ ⣿⢿⣿⠀⢹⣄⡁⠀⢠⠀⢘⣿⡀⡀⠀⠀⠀⠀⢸⣿⢞⠏⠙⣿⣿⣦⣍⠙⠿⢶⣯⣍⣤⣶⣾⣿⠿⠿⠛⣡⠟⠉⠀⢀⣾⣿⠀⠀⢀⣴⣿⡿⣿⣿⠃⢸⠀⠠⡿⠋⡿⣿⡎⢙⣿ ⠋⢸⣯⠀⠈⣿⡅⠀⡼⠀⢢⣿⣧⠃⠀⠀⠀⠀⢠⣿⣯⣷⠀⠈⢿⠙⠿⠿⠋⠉⠀⠶⠶⠆⠀⠀⠀⢀⣾⠋⠀⣀⣤⣾⣿⣿⣤⣶⣿⠟⠁⠀⣿⡏⠀⠘⠀⠀⣴⣦⢀⣿⣿⠈⣡ ⠀⢸⣿⠀⠀⠈⠓⠚⠃⢠⣿⢽⣿⠀⠀⢀⣤⣴⣾⣿⣿⣿⣿⣤⣸⣦⣄⠠⣀⣀⣐⣂⣒⣦⣀⣤⣤⠾⢿⡶⠟⠛⠛⠛⣻⣿⣿⣿⠁⠀⠀⢸⣿⢧⠀⠀⢠⣴⣿⠇⠀⣿⣿⣾⣿ ⡆⠀⣿⣷⡄⣿⠀⠀⢠⣯⣿⡟⠁⠀⢠⣾⣿⡿⢻⣿⣿⣿⣟⠛⠛⠛⠛⠛⠉⣽⣋⠉⠁⠀⠀⠀⠹⣶⣿⣳⣦⣄⣠⣾⣿⣿⣿⣿⠀⠀⠀⠈⣿⣎⢧⡀⠀⠈⠁⠄⠰⣿⣿⣿⣿ ⣿⣦⣼⣿⣇⠛⢳⡄⣼⡿⢿⡁⢠⡄⣿⣿⣿⠇⣼⣿⣿⣿⣯⣄⣀⡐⠐⠂⠰⢾⣻⣅⣤⣄⣤⣄⣴⣿⣿⠿⣛⣻⣍⣽⡏⢛⣿⡏⠀⠀⠀⠀⢸⣇⣸⡆⠀⠀⠀⠀⣼⣿⣿⣿⣿ ⠈⠉⠛⣿⣛⣧⣴⣿⡿⢷⣾⣯⣿⡇⣿⣿⡟⢸⣿⣎⣉⡙⠛⠛⠽⠿⠿⣿⣷⣿⣿⣶⣦⣶⣶⣿⣾⣿⣿⠟⠿⠛⢛⣁⣠⣤⣿⣇⣠⣴⣶⣾⣿⣿⢟⡱⡄⡠⠀⢰⣿⣿⣿⡟⠻ ⠀⠀⠀⢻⡏⣿⣿⡷⠾⠿⣿⣿⣿⠇⣿⣿⣯⣿⣿⣿⣟⣛⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⢿⣿⡟⣛⡛⠭⠾⠁⢸⣿⠿⠟⠛⠉⠹⣷⣾⡷⢿⣥⣜⣙⡛⠙⣿⡇⠀ ⠀⠀⠀⠈⣷⣻⡿⢧⠀⠀⠈⠉⠙⠻⢿⣿⢛⠌⡯⠌⠛⠯⢟⡿⠿⣼⣿⣳⣶⠿⣿⣿⠀⢉⣿⠿⢿⡗⠾⢏⠁⠀⠀⠀⠀⠀⠀⣻⡀⠀⣀⣀⣼⣿⡿⠷⢶⣿⡟⢨⣧⠀⢻⣿⡄

⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣠⣖⡛⠛⠛⠒⠂⣠⣤⠤⠂⠉⠉⠉⠀⠒⠒⠦⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣶⠛⣿⢿⡏ ⠠⠆⠀⠠⠔⠈⢁⣀⣀⣤⡴⠟⠉⣧⡤⠴⢒⣉⠁⠀⠀⢀⠀⠀⢀⠀⠀⢀⠈⣀⡘⣆⠀⠀⠀⠀⢀⡔⠀⢺⣿⣿⣼⣿⣿⣿⣿⣿⣾⣷ ⠀⠐⠾⠒⠒⠛⠛⠉⠉⢁⣀⡴⢛⣁⣤⣽⣿⠇⠀⠀⠀⢀⣮⠞⠁⠀⣰⠋⠃⠈⢩⡿⢶⣦⣀⣴⠋⠘⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣁⣴⡟⢩⣽⣄⣀⣠⡄⠀⢀⠏⠀⣠⠂⢀⣿⣤⣤⣤⣿⡄⠀⠳⣙⣧⠀⠀⠀⠀⠀⠈⠉⣉⣉⣉⣻⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⢿⣀⣠⡤⠴⠚⠋⢡⠄⢨⣛⣸⣀⣁⠘⠿⠋⠹⢷⣼⣿⡐⣦⠈⢿⣷⣄⠀⠀⠐⠒⠟⠿⢿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢀⡾⢛⡧⠊⠉⠀⠀⠀⠀⢠⠃⠀⡸⢟⡉⠀⢞⡃⠀⠀⠀⠀⠙⢻⣷⡙⣄⠀⠙⠋⢷⣄⣀⠀⠀⠀⠀⠉⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢰⠋⣠⠟⠁⠀⠀⠀⠀⠀⠈⡆⠀⠀⠙⣿⣄⠀⠨⠁⠀⠀⠀⠀⠀⠘⠛⣿⡟⢧⣤⣤⣾⣧⣄⡀⣉⡀⣠⡀⢿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⢀⡴⠋⢡⠀⠀⠀⠀⠀⠉⠀⠂⠀⠀⠀⠀⢀⣤⠞⠉⠙⢦⡈⠉⠁⢀⠋⣰⡿⠻⠟⢀⣿⣿⣿⣿ ⠀⠀⠀⢀⣴⣾⠋⠀⠀⠀⣠⠴⠖⠲⡯⢠⠤⠈⠙⢿⣵⣤⣤⣤⣤⣤⣤⣤⣶⡿⠟⠁⠀⠀⠀⠀⠹⠦⠶⢤⣀⠘⠃⠀⠀⣼⣿⣿⣾⣿ ⢀⣠⣶⣿⠋⢻⣷⣤⠖⠋⠁⠀⠀⡼⠛⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⡄⡄⠀⠈⠙⢦⡀⠀⡿⢋⣽⣿⣿ ⠿⠛⠛⠛⠛⠛⣿⠇⢀⠀⢠⠀⠀⠓⢤⣄⡠⠀⠀⠀⠀⠀⠈⠻⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⡀⠀⠘⣿⡀⣠⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢀⣾⡆⢹⠀⢸⣤⢠⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢤⣤⣶⣤⠃⣠⣺⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣠⡴⠋⠉⢿⣌⣧⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣧⣴⢿⣽⡿⠛⢿⣿⣿⣿⣿ ⠀⠀⠙⢿⡇⠀⠀⠀⠈⢏⡸⠛⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠛⠟⠛⠛⠋⠀⠀⡈⣿⡿⠿⣿ ⡄⠀⠀⣸⠃⡖⠀⠀⢠⡟⠀⠀⢰⣿⣿⣿⣶⣦⣤⣴⣶⣤⣴⠾⠋⠙⠿⣶⣤⣤⣤⣄⣠⣴⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⣦⠁⣿⣇⠀⠀ ⡇⠀⣠⣿⠏⢠⡀⢠⠎⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⢁⡀⣀⢀⠀⣀⣉⣙⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⡟⠀⣿⣿⣷⣤ ⣠⠾⣿⠏⡆⢀⣿⣿⡄⣠⣾⡿⠋⠙⢿⣿⣿⣿⡟⠻⠷⠚⠁⠙⠛⠉⠙⠛⠛⠛⢉⣻⣿⣿⣿⣿⣿⣿⣷⣤⣤⣴⣦⡜⠁⠀⣿⡟⢿⣿ ⣇⢀⣿⠀⡇⠈⠙⣿⣿⣿⠟⠁⠀⠀⣸⣿⣿⣿⣿⣿⣶⣤⣶⣦⣤⣤⣴⡶⠶⠞⠋⣟⣴⣿⣿⡏⠀⠙⣿⣿⣿⣿⣿⠁⠀⣇⢈⣧⠀⠙ ⣿⣾⡿⡆⠳⠀⠀⠻⣿⡇⠀⠀⠀⠀⣽⣿⣿⣮⣿⢷⣄⡀⢀⣀⡀⠀⠀⣀⣤⣶⣾⢟⡽⠟⢹⡇⠀⠀⠈⣿⣿⣿⠟⠀⢀⣧⣾⣿⣿⣦ ⡿⣿⠇⢹⣤⠀⢠⠀⢽⣇⠀⠀⠀⠀⢻⣏⡏⠙⣿⣷⣭⣙⣿⠿⣵⠶⠿⠟⠛⢋⡽⠋⠀⣠⣿⡇⢀⣴⣾⠿⣿⡏⠀⠀⠘⠋⠛⣿⡈⠿ ⠀⣿⡀⠀⠻⠤⠎⢠⣞⣿⠀⠀⢀⣀⣼⣿⣷⣄⠘⣄⠉⠁⠀⠀⠉⣁⠀⢀⣰⣿⣤⣴⠾⠿⣿⣿⣿⠋⠀⢠⣿⡅⠀⢀⣰⡿⠀⣿⣧⣾ ⡄⢸⣧⡀⡆⠀⢠⣿⣿⠋⠀⣰⣿⣿⣿⣿⣿⡟⠛⠻⠷⠛⢻⡛⠉⠉⠉⠙⣷⣾⣶⣀⣀⣴⣿⣿⣿⠀⠀⠈⣿⡷⡀⠈⠉⠁⠀⣿⣿⣿ ⠿⣶⣿⣧⠛⢦⣼⣟⣧⣠⡔⣿⣿⢃⡿⠿⣿⣷⣤⣄⣀⣀⣺⣿⠤⠤⠤⣤⣿⣿⣿⣿⣯⡿⠋⢻⡇⠀⠀⢀⣸⣧⣧⠀⠀⠀⣼⣿⣿⣿ ⠀⠀⢹⡾⣷⣿⣫⣿⣿⣿⡷⣿⣏⣼⣿⣶⣦⣤⣀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣥⣤⣶⡾⠻⣷⣾⡿⠿⢿⣛⣿⣷⣃⡤⡿⢿⡏⠈ ⠀⠀⠈⣧⣿⠿⠀⠈⠉⠛⠾⣿⠟⠛⡏⠛⢿⡻⠿⣽⣿⣿⠿⣿⣿⠙⣿⠿⣿⠻⠟⠁⠁⠀⠀⠀⣿⠀⢀⣀⣾⣿⠷⣼⣿⠋⣧⠈⣿⡄

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⠀⠀⠀⠀⠀⠀⠀⡴⣄⠀⡟⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠘⣄⣷⡘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡆⠉⠁⠀⠙⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⢷⠀⢠⡄⠐⡶⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⣤⡦⠀ ⠀⠀⠀⠀⠀⠀⠹⡘⡆⠀⣀⣀⣠⡆⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠳⣧⡀⠉⠛⠉⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣹⡿⠻⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣦⣤⣀⣠⠼⣅⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀ ⠀⠀⠀⢀⣀⠤⠴⢒⡽⢉⡿⠛⣽⣡⠴⠒⠋⢠⣤⡝⠉⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⢮⢉⣠⠔⠒⢫⣴⠋⢱⠀⠉⢠⠤⣸⡉⢻⡆⢹⣾⠃⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀ ⠀⢻⢰⡋⠹⡒⠒⠉⢻⣀⣸⡀⣏⠻⣦⡈⣿⣶⣿⣾⠛⡆⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠳⡘⢆⢳⠀⠀⠈⣻⢿⡿⢿⣷⢾⣿⠿⣏⠁⠊⢦⡇⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢾⣌⡷⢤⣀⣟⣻⡓⠴⠛⡆⠘⠓⣸⢶⣄⡼⠁⠀⠀⠀⠈⢿⣦⣤⣤⠾⠇ ⠀⠀⠀⠀⠈⠻⣄⣾⣿⣷⣿⡑⢒⡂⡌⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠾⠀⣿⣿⣷⣮⣍⣀⣀⣀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⣠⠔⠁⢀⡇⣿⣿⣿⣿⠛⠉⠙⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣤⠄⠀⠀ ⠀⢀⠎⠁⠀⡰⠋⣹⠞⠻⣿⠚⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣬⣿⡶⠶⠀ ⢀⣏⣀⡠⠞⢡⠞⠁⠀⠀⠘⣦⡄⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡉⠀⠈⠛⠀⠀ ⡎⠉⠀⣠⡔⠁⠀⠀⠀⠀⠀⢸⠀⠈⡆⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣆⡀⠀⠀⠀ ⠙⢆⠀⢏⠉⢦⠀⠀⠀⠀⠀⠘⣆⡄⠸⡄⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀ ⠀⠀⢳⡈⢢⠀⢇⠀⠀⠀⠀⠀⠹⣷⡀⠀⠘⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠱⣄⠁⠸⡄⠀⠀⠀⠀⠀⠘⢏⠓⢄⠀⢄⡈⠑⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢆⡀⢱⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠦⣌⡉⡀⠉⠲⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡠⠼⢣⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⣄⠈⠳⡀⠀⠀⠀⠀⠀ ⠀⠛⠛⠓⠒⠒⠚⠒⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢤⣔⣒⣉⣸⣆⣧⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠶⠒⠒⠚⠉⣁⣀⡍⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⣶⣾⡟⠛⢿⡾⡆⠀⠀⠀⣀⣤⠤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⣠⣾⠟⠙⠻⣿⣄⠈⣿⣿⣿⣷⣶⡯⠉⠙⣆⠈⢿⡲⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠴⣚⣉⣉⣉⣑⠲⢬⣛⠁⠀⢀⣴⣿⣿⣦⣿⣿⣿⣿⡃⠁⠀⠀⠸⣧⡀⢝⡸⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣞⡵⠞⠋⠁⠀⠀⠉⠙⠒⣶⣯⣽⣿⣿⣿⣻⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠘⠉⠘⣆⢧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣯⣏⡥⠴⠚⠛⠛⠛⠛⠛⠛⠛⠋⣹⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠙⣆⢳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠋⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⣿⡟⢇⡄⠀⠀⠀⠀⠀⠸⣄⢧⠀⠀⠀⠀ ⠀⠀⠀⣠⠖⠒⠊⠉⢍⠉⢳⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡿⠿⠋⢻⣿⣿⣿⣇⠈⠿⣦⠀⠀⠀⠀⠀⢽⣼⡀⠀⠀⠀ ⠀⠀⡰⣿⠘⣦⠘⣦⢸⣆⡸⣙⡆⠀⠀⠀⠀⠘⣿⣿⢿⡿⠀⠀⠀⠈⠙⣿⣿⣿⣆⠠⣹⣧⠀⠀⠀⠀⠀⡇⠳⡀⠀⠀ ⠀⠀⡇⢻⣄⡈⢣⠹⣄⡿⠟⠋⠀⠀⠀⠀⠀⠀⠘⣿⣾⡷⣦⣤⡤⠆⠀⠘⣿⣿⣿⣿⣦⢿⣷⣶⣄⠀⠀⢱⠀⠱⡀⠀ ⠀⣸⠁⣼⣿⡿⡗⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠼⣿⣧⣬⣿⢛⠁⠀⣠⡿⣿⣿⣿⣿⣦⡻⣮⣙⢧⡀⠀⡇⠀⢹⡄ ⢰⠇⢠⠁⠀⠁⠹⡄⠀⠀⠀⢀⣀⡀⢀⡾⢁⣴⠿⠿⠛⠛⢿⣽⡿⠿⣿⢿⣿⠟⠉⠀⠉⠻⠷⣿⠉⠑⠿⡄⠃⠀⢸⡇ ⡏⠀⠘⠀⢰⠀⠀⢳⠀⣤⣚⠉⠠⠭⣭⣶⣿⡇⠀⠀⠀⠂⠀⠀⠀⢠⡟⠈⠁⠀⠀⠀⠀⠀⠀⢹⣠⠀⠀⠙⡆⠀⢸⣇ ⡇⠀⠀⠀⣼⠀⠀⣸⣾⠋⠀⠀⠀⠀⠀⠀⣻⣿⡄⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⢧⠀⠀⠀⠀⣸⣿ ⣷⠀⠀⠀⠈⠀⡜⢡⡎⠀⠀⠀⠀⠀⠀⠀⠸⢻⣷⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⣖⠀⠀⠀⠀⠘⠀⠈⢦⡄⠀⣰⠟⡼ ⢻⣆⠀⢀⣠⣎⢸⣇⡙⠲⣄⡀⣀⠀⣼⣀⣰⣿⣿⣧⣀⠀⠀⣀⣸⣀⣀⡀⣰⡀⠙⣁⡀⠀⢀⣀⡀⠀⡇⠙⣶⢃⡞⠁ ⠈⢿⠀⠸⢽⣅⢸⡇⠘⡇⢸⠀⢸⠀⢹⠀⣾⡿⠋⠈⠻⢷⣸⡁⢘⣧⣄⡀⢩⠀⠸⠟⠁⡀⣾⠷⡈⠀⠷⣞⡅⢸⠀⠀ ⠀⠈⠳⢶⣠⠯⠜⠓⠲⠧⠼⠤⠼⠤⠚⠚⠁⠀⠀⠠⠤⠀⠙⡗⢲⡿⢽⠃⠘⠶⠀⢰⠾⠟⠛⠦⢶⠀⠀⠈⡇⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣡⠊⠀⠀⠉⠓⠀⠀⠀⠀⠀⠀⠐⠛⡆⠀⣸⠁⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢯⣀⣀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣰⠇⡼⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⢰⠋⠈⠙⢻⡄⠀⠀⠀⠀⠀⠀⠀⢀⣧⢏⡞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⢸⡀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⢀⡾⡡⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⡎⠉⠓⢦⠀⠀⠀⠀⠀⠀⠀⣠⣾⠞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢃⡾⠀⠀⠀⠸⠀⠀⠀⠀⠀⢀⣼⣛⣁⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⢀⡴⠋⣿⣄⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢹⠀⠀⠀⠀⠀⠀⢠⢏⡴⠋⢁⣽⣷⡀⠀⠀⢰⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡞⠀⠀⠀⠀⢀⢴⣫⠥⠒⠉⠉⡅⠈⠻⣆⢠⣾⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⠛⢳⣤⠴⢺⠟⠉⠀⠀⠀⠀⠀⠘⣄⠀⢿⠚⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢧⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⢱⢺⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⣸⡀⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠙⢆⠀⠀⠉⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠥⠤⠤⠤⠤⠬⠿⠦⠾⠧⠤⠤⠤⠀⠀⠀⠀⠠⠤⠤⠄⠸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣆⡀⢀⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠊⠀⠀⠀⠀⢇⢈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠐⠒⠃⡄⠑⠒⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣴⢠⢈⣉⡁⣀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⠤⢤⠖⠉⠩⠉⠉⠉⠘⠒⢤⢀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡜⠁⠀⢠⠋⠉⠉⠀⠒⠄⠒⠀⠈⠈⢂⠀⠉⢢⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢇⢀⡠⣇⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⢀⣧⡀⣸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠜⠉⠀⢹⠑⢂⠀⣐⠪⠨⢒⠀⠄⠰⠹⠀⠁⢳⠀⠀⠀⠀⠀ ⠠⡖⣿⢷⠴⠚⢄⡠⠜⡧⠀⠈⣅⣀⡁⢀⡍⠀⢠⠣⢀⡠⠛⠤⡔⢶⢲⡀ ⢠⠗⡩⢂⣀⣠⣔⠠⠔⠛⠲⢌⡤⠤⣀⠤⢦⡤⠼⠦⢈⣂⣀⣄⡙⢏⠺⡄ ⠈⠉⠓⠁⢠⠋⢄⠀⡀⠀⠀⠀⢲⣄⠈⠈⠁⠀⠀⠀⠀⠀⠀⠙⡏⠚⠉⠁ ⠀⠀⠀⠀⠸⣀⣀⠂⠀⠁⠀⠀⢀⣀⣵⣦⣄⡐⠀⡀⠂⠁⠠⣣⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠒⠀⠒⠒⠉⠉⡀⠉⢁⠀⠉⠑⠒⠛⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⢀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⢸⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢁⣿⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡇⢸⣿⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠈⣿⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⣽⡦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⢹⠀⠀⢠⡀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢷⡈⠙⢶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢻⡆⠘⣧⠀⠈⢣⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢣⡀⠀⠈⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡷⣄⠀⠈⣧⠀⠘⣆⠀⠸⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢷⡀⠘⢦⡀⠈⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠹⣾⡀⠀⠸⣧⠀⠘⣦⡄⠁⡇⢀⣀⡤⢤⡤⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣄⠀⢙⢢⡀⠀⠀⠙⠲⣤⡀⢀⣠⣤⣤⣤⣼⣷⣤⣤⣼⣧⠀⠘⡇⣼⣿⡋⠹⠳⣬⡙⢿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣆⠀⢢⡉⠳⢆⡀⢀⣬⠛⢉⢧⢀⣀⡞⢋⣱⣽⠚⣿⣿⢿⣿⢿⡁⣸⠃⠀⠀⠈⠳⡜⠻⡍⠓⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠙⠢⢄⣉⡿⣿⢄⢸⠘⣨⠟⢳⡄⣿⣿⣿⣽⣭⣿⣿⡇⢹⣿⡂⠒⣴⡀⠀⢳⡄⠙⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢦⣀⣽⠀⢸⣾⣾⣿⣿⠀⢠⢻⡿⠻⣿⡿⠀⣧⡏⣧⢀⣿⣷⡄⢠⢇⠀⠘⢷⠀⠻⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢤⣀⣿⣿⣿⠓⣐⣾⠛⠳⢀⡞⠁⠸⣿⣷⣿⣿⢻⣷⡆⠈⡾⣆⠄⢸⣷⠀⢱⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠀⣰⣿⣼⣿⣗⣼⣿⡃⣀⢀⡾⠁⣴⣿⣿⣶⣽⣿⢿⡏⢰⢠⠁⣿⠀⢸⠃⢳⡜⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣳⢰⡟⠋⠹⣿⣿⠋⠿⣿⣿⠋⠀⠀⠁⠙⠛⠃⣸⠋⣸⠇⠘⣼⡼⣿⢇⣾⠀⠀⢳⣽⠀⠀ ⠀⠀⠀⠀⢀⣠⣦⣄⡀⠀⠀⠀⠸⣿⠀⣇⠀⢻⣿⠷⣄⠈⢙⠀⠀⠀⠀⠀⠒⠀⢹⣤⣿⠀⠈⣿⢃⡟⣸⣸⠀⠀⠀⠙⠀⠀ ⠀⢀⣤⣾⡿⢚⠀⢸⡷⣤⡀⠀⠀⠀⠀⢹⡆⠀⢿⣆⣼⡿⠿⠖⠀⠀⢰⡆⠀⢠⣼⣷⡇⠀⠀⢻⡾⠀⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⢿⣅⣴⣿⠿⣿⠀⠙⢦⡉⣷⠀⠀⠀⠀⠹⡆⠘⡛⠷⣝⣷⣶⣤⠖⢉⣠⠴⠋⣿⣿⡀⠀⣰⣾⠷⣤⣼⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⣟⣫⡶⠊⠁⠀⠀⠀⢧⡿⠀⠀⠀⠀⠀⠀⢀⣧⡜⣾⣯⡉⢻⢿⣿⡿⠀⠀⣸⣿⣿⡿⠋⠁⠀⠈⠹⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣷⢿⣿⠇⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⢰⠟⠻⣼⠃⣠⡿⠿⠿⠁⠴⠚⢻⣿⢳⠿⠃⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠛⢾⣍⡀⠀⣠⣤⣴⠋⠀⠀⠀⠀⢀⡏⢀⡴⣻⣾⠋⠁⠀⠀⠀⣠⠀⣿⣷⡞⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠛⢯⣤⢿⠀⠀⠀⠀⠀⣼⣧⠼⠖⣿⠃⠀⣠⡴⣢⠞⠁⢰⠟⡏⠀⠀⢷⡀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⢸⣼⣇⠀⢀⡴⠚⠉⠁⠀⠀⠉⢠⡞⠙⠊⠁⠀⠀⠈⡆⣤⠀⠀⣸⣷⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣜⣿⢿⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣸⣤⣤⡿⢹⣇⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠉⠉⣾⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢦⠀⣿⢃⣾⠃⠀⢿⡀⠀⠀⠀⠀⢹⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠙⢿⠃⠀⠀⠀⠘⣆⠀⠂⠀⠀⢱⣀⣧⣯⠇⠈⢲⣿⣿⠃⠀⠀⠀⢻⠀⠀⠀⠀⠀⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠈⠳⣤⡀⠀⠀⠉⢶⡀⠀⠀⠈⠏⠉⠀⣀⣶⠟⣹⠏⠀⠀⠀⠀⣴⠛⠁⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⢸⠀⠉⣹⣿⡟⠛⠉⠉⠛⠛⠛⠛⠋⠉⠀⣴⡏⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣾⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⠀⠟⢀⡾⠋⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣾⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⢀⣴⠛⠀⠀⠀⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣦⠀⠀⡇⠀⠀⠀⣴⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠉⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣧⠤⢤⣴⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⣤⣾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡄⣧⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠟⠛⠛⠛⢻⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠹⠀⢿⡿⠶⢤⣀⣀⠀⠀⠀⠀⠀⡀⢀⡾⠉⠀⠀⠀⠀⠀⠘⠁⠹⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⢡⣼⠀⠀⣿⡜⠓⠮⣽⣿⣒⠠⠤⣤⣷⣿⣥⣴⡾⠆⠀⠀⠀⢸⠀⠀⢹⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠀⠸⡿⡇⢠⢃⠙⢦⣀⠀⠀⠉⠙⠳⠦⣄⣀⡀⠠⣏⠀⠀⠀⠀⣸⣧⠀⠘⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠛⠓⠦⣇⣻⢸⢿⣰⠀⠙⢦⡀⣀⠀⢠⢠⠀⠀⠁⠀⣿⠀⡄⠰⡔⢦⠈⣧⣸⣾⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠉⠷⣌⡙⡇⡄⠀⡿⣿⡄⣸⡟⠀⠀⠀⣆⣿⡆⢻⠀⢹⠿⣇⡟⠉⠈⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣇⠀⡇⣿⡆⠁⢹⡀⢀⣾⣿⠿⡇⢸⣰⠃⠀⠙⠃⠀⠀⢸⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣇⢿⡇⠀⠸⡇⠟⠋⠀⠀⠹⣼⡇⠀⠀⠀⠀⠀⠀⠘⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⢧⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⢀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⣰⣿⠁⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠇⡏⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀⢸⡟⡄⠀⠀⢸⠀⡇⠀⠀⣠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡠⠔⠒⠒⠒⠒⠠⢄⡀⠀⠀⠈⣟⣧⠀⠀⠀⣼⢡⠁⠀⠀⣸⡄⢿⣀⣰⣿⠏⠀⢀⡀⠤⠄⠒⠒⠢⠤⢄⡀⠀⠀⠀⠀ ⠀⠀⠀⣠⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⡄⠀⠈⢾⣦⠀⣼⠃⣾⠤⣟⡽⢛⡏⢉⣽⣿⠏⢀⡔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀ ⢀⡴⢊⡵⠒⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣆⠀⠨⣿⣷⠃⢸⡇⠀⠀⠉⠉⠉⠛⢿⣿⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠘⠀⠀ ⣿⠀⣿⣷⠀⠀⠈⢳⣄⣠⡴⢒⠀⣀⣲⣖⣋⠉⠣⡀⣿⠟⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⢻⡾⠚⠉⠉⠉⠉⢉⣽⣏⣉⣁⡀⠀⠀⠀⠀⠀ ⢸⡆⣷⠸⣇⠀⠀⠈⠁⠀⠉⠺⣷⠟⠁⠀⠈⠱⣤⣿⣿⠀⠀⠀⢀⡤⠔⢾⠋⠙⣗⠐⢺⡇⠀⠀⢀⣠⡖⠉⠀⠀⠀⠈⡗⠀⠀⠀⠀⡔ ⠀⣿⣿⠀⢻⣄⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⢹⢿⣿⣄⣠⠀⠉⠴⠖⠒⠒⠀⠛⠿⠟⠉⢷⠞⠛⢻⠀⠀⠀⠀⠀⢀⣿⣄⠀⠀⢠⡇ ⠀⣿⣿⠀⠀⠻⢦⣀⣀⣀⠀⠀⠀⣇⠀⠀⠀⠀⣼⡀⢻⣧⢹⡀⠀⠀⣖⠲⣄⣀⣀⣤⣾⠇⡸⠀⠀⢸⡆⠀⠀⠀⢠⡟⢁⠜⠛⠉⢩⡇ ⠀⣿⣿⡇⠀⠀⠀⠈⠉⠻⢍⠉⠙⠻⣦⣀⣠⡞⠁⠙⢾⣿⣇⣿⣄⠀⠘⢦⡀⠀⠀⢠⣾⡴⢷⣤⠖⠉⠙⣆⢀⣰⣟⡴⠃⠀⠀⠀⣾⠃ ⠀⢿⣿⡷⡄⠀⠀⠀⠀⠀⠀⠙⢦⡀⠈⢻⠀⢱⡀⠀⠀⠘⣿⣟⢿⣷⣦⣄⣈⠉⣉⣽⣿⣤⡿⠇⠀⠀⠀⢻⠋⣽⢿⠇⠀⠀⠀⣼⡟⠀ ⠀⠈⢿⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⢹⣗⠚⢷⣄⡧⠀⠀⠀⠀⠈⠙⠛⠿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⠀⢤⣼⣿⣯⡞⠀⢀⣤⣾⠟⠀⠀ ⠀⠀⠈⠻⣿⣿⣿⡀⠀⣠⣀⣀⣴⣿⣿⣿⡖⠚⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢞⠁⢀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣧⣼⠿⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠙⢿⣿⣷⣿⡿⠿⠋⠉⠉⢿⣦⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠲⣽⡏⠀⠀⠀⠀⠀⠀⠸⡄⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣟⠀⠀⠀⠀⠈⢿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣆⠀⠀⠀⠀⠈⢿⡍⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⡀⠀⠀⠀⠘⢿⣄⣽⣿⣦⡀⠀⠀⠀⠀⠀⠀⣠⣿⣀⣀⣀⣀⣼⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣤⠀⠀⠀⠈⢻⣄⣿⢿⣿⢿⣦⣀⣀⣲⣿⣿⣁⡽⢭⣉⣩⣟⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣦⣀⡀⠀⠀⠙⣦⣉⣷⢦⣤⠴⠛⠉⠀⠀⢳⠀⠀⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⣤⣤⣿⣆⠈⠳⣧⡀⠀⠀⠀⢀⣼⡦⠴⢿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣟⠀⠀⠈⠙⢳⣬⣿⠛⠛⠋⠉⠀⣱⣠⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣀⣀⣀⠀⡿⣿⣶⣄⣠⡼⢧⡙⣶⡤⡤⠴⠞⢻⣄⣸⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣿⣿⣿⣿⠉⠛⣿⣇⡀⠙⠻⠷⣦⠤⠶⢛⣯⣟⡾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣦⡄⠈⠉⠙⠻⣷⣦⣭⣓⣿⣏⠉⣿⣷⡿⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠈⢻⣶⠀⠀⠀⠀⠀⠀⣰⢻⡏⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⢰⣿⣆⠀⠀⠀⠀⢰⡏⣿⠁⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⣸⠀⡏⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠹⣿⠀⠀⠀⠀⠀⢠⣿⢻⠀⠀⠀⠀⡏⠀⣧⠀⠀⠀⣠⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠤⠤⠤⠤⠤⢄⣀⠀⠀⠀⠀⠀⢧⢻⣧⠀⠀⠀⠀⣼⡇⣿⠀⠀⠀⢀⣽⠀⢿⡆⠀⣸⣿⡟⠁⠀⠀⢀⣀⡤⠤⠤⠤⠤⠤⢤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠲⣄⠀⠀⠈⢣⣻⡄⠀⠀⣸⡟⢰⠇⢰⡤⢖⣿⣿⡷⠼⠟⣿⡿⡿⠁⠀⡤⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀ ⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⢳⣻⡆⣸⡏⢀⣼⠞⠙⠺⣯⣅⡼⢧⣤⣾⣿⣿⠁⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀ ⢀⡴⠟⣡⡞⠋⠉⠲⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣳⡀⠀⠰⣷⣿⡟⠀⢸⠿⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⡜⢀⡞⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠤⠀⠀⠀⠑⠀⠀ ⢸⠀⠀⣿⣧⡀⠀⠀⠀⠻⣄⡀⣤⡴⠞⠛⠛⣛⢛⣿⣟⠛⠁⠙⣄⠀⣼⡇⠇⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⠈⢧⡾⠞⠋⠁⠉⠉⠛⠛⠛⣙⣛⣉⣉⣀⢄⠀⠀⠀⠀⠀⠀⠀ ⢸⡄⠀⣇⢹⣇⠀⠀⠀⠐⠛⠋⠉⠓⢦⣵⣤⣿⠿⠉⠉⠙⢲⡀⣸⣷⣿⠃⠀⠀⠀⠀⠀⠀⣀⣤⡵⠛⠳⡤⠤⢤⢸⡆⠀⠀⠀⠀⠀⣠⡴⠟⠉⠉⠉⠉⠙⢿⡤⠀⠀⠀⠀⠀⡆ ⠈⣿⡄⣿⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠁⠀⠀⠀⠀⠀⢻⣿⣿⣿⡀⠀⠀⠀⢠⡞⠋⣁⣘⡇⠀⠀⣿⣤⣤⣼⣦⣄⣀⣠⣤⣾⡟⠀⠀⠀⠀⠀⠀⠀⢺⡀⠀⠀⠀⠀⢀⡇ ⠀⣿⣧⣿⠀⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⡟⢿⣿⣇⢦⣷⠀⠰⠖⠛⠛⠈⠉⠁⠀⠉⠻⠟⠉⡀⢸⡟⠋⠉⢸⡇⠀⠀⠀⠀⠀⠀⢠⣼⠷⣄⡀⠀⣀⣼⡇ ⠀⣿⣿⣿⠀⠀⠘⠿⣦⣀⠀⡀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢠⡇⠀⢻⣿⡌⢿⡀⠀⠀⠸⡟⠿⣄⣀⡀⠀⢠⣤⣿⠇⢸⠇⠀⠀⠈⣧⠀⠀⠀⠀⠀⣠⡿⠁⣠⠴⠛⠉⠉⣹⠃ ⠀⣿⣿⣿⡆⠀⠀⠀⠈⠙⠛⠿⣿⡛⠛⠳⠾⣿⣦⡀⠀⢀⡴⠋⠙⠷⣼⣿⣿⡌⣿⣄⠀⠀⠹⣆⠠⠈⠉⠉⠉⣉⡜⣠⣿⣀⣀⡤⠞⠛⣷⡀⠀⠀⣰⡟⢁⠞⠁⠀⠀⠀⢠⣿⠀ ⠀⢻⡿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠙⢶⣄⠀⠈⠛⢿⡶⠛⢧⠀⠀⠀⠈⠻⣿⣧⢿⣿⣦⣀⠀⠈⠓⠦⣤⣤⠤⢿⣽⠃⣹⣿⠏⠀⠀⠀⠈⣷⣤⠾⣿⣷⡟⠀⠀⠀⠀⠀⣾⡟⠀ ⠀⠸⣷⣿⡇⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢷⣄⠀⠀⢱⡀⠘⣧⠀⠀⠀⠀⠺⣿⣧⣙⢿⣿⣷⣦⣤⣀⣀⣠⣶⣿⣷⣶⠿⠓⠂⠀⠀⠀⠀⢿⡁⣼⡟⣿⠃⠀⠀⠀⢀⣾⣿⠃⠀ ⠀⠀⠹⣿⣿⣿⡇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣟⡒⠺⢷⣄⣿⡇⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⣿⣿⣿⣿⣿⣹⡿⠋⠁⠀⠀⠀⠀⠀⠠⣄⣽⣿⣟⣵⠏⠀⠀⣀⣤⣿⡿⠃⠀⠀ ⠀⠀⠀⠙⢿⣿⣷⣿⣶⠄⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣷⣤⣬⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⢤⣸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣿⣿⣿⡿⣅⢀⣿⣿⠿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠻⠿⣿⣧⣠⣜⡛⣿⣷⣻⣿⣿⡿⠿⠿⣷⡀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣄⡙⠦⣤⡖⠀⠀⠀⠀⠀⠀⠀⠈⢿⠛⠿⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣟⡛⠉⠁⠀⠀⠀⢻⣷⣄⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⢿⣿⠇⠀⠀⠀⠀⠀⠀⢻⣿⡟⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⡄⠀⠀⠀⠀⠀⠈⢿⣟⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣶⠀⠀⠀⠀⠀⠀⠈⢿⣦⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⢠⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣧⡄⠀⠀⠀⠀⠈⢿⣷⠶⢿⣿⣿⣦⣀⡀⠀⠀⠀⠀⠀⢀⣴⣿⢧⣶⣤⣤⣠⣶⢾⡟⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣧⣤⠀⠀⠀⠀⠀⠻⣧⣸⣟⢿⣟⡿⣿⣶⣀⣀⣐⣺⣿⣿⣧⣤⣽⢭⣭⣍⣡⡞⣹⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣶⣆⠀⠀⠀⠀⠀⠉⢻⣆⠈⢻⣶⣄⣀⣡⡶⠞⠋⠉⠀⠈⢧⠀⠀⠘⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣷⣦⡀⠀⠀⠀⣿⡝⠛⢷⣌⣿⠋⠀⠀⠀⠀⠀⠀⣸⡆⠀⢠⣿⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣻⠿⠿⠿⠻⣦⣀⡙⠻⣷⣀⣀⣀⣀⣠⡴⠟⢿⠛⠛⢹⣤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣃⠀⠀⠀⠀⠉⢿⣦⣼⡏⠉⠉⠉⠁⠀⠀⣸⣧⣤⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⣙⢿⣷⣦⣄⠀⣀⣼⣧⡈⢻⣤⣀⣀⣀⣤⡾⠛⣯⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣹⣷⣶⣾⣜⣿⠻⢿⣿⣿⡇⠈⠻⣦⣿⣯⣉⠉⡀⣀⣴⢿⢶⣿⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣌⣳⣿⣿⠀⠀⠙⢿⣷⣤⣀⣀⡉⠛⢿⣟⣛⣉⣠⣾⢿⣇⣿⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣮⢻⣾⣿⣿⣿⣿⣷⣦⠀⠀⠀⠈⠛⣛⣿⣶⣴⣭⣛⣿⣯⡀⢘⣿⣿⣿⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⡠⠔⠒⠒⠂⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣏⣀⣀⣤⡦⣥⣀⠈⠲⠒⠒⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠜⡿⠞⢉⠟⠁⠁⠀⠀⠀⠀⠀⣈⢣⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⠀⣀⡈⡉⡆⠀⡎⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⢥⠀⢀⠀⠀⠀⠀ ⠀⢸⣸⡄⣿⡟⡧⣧⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠠⠂⡸⢀⣀⢉⢃⢀⠰ ⠀⠀⢣⠹⠏⠓⠉⢛⠁⠀⠹⣄⠀⠀⡶⣦⣀⣀⣠⣒⡼⡡⠔⡨⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡤⠬⠤⡤⠔⠺⠑⢖⠈⠛⠛⢻⠟⠙⠲⣤⠥⢤⣄⡀⠀⠀ ⠀⠀⠀⡰⠋⠁⠀⢀⡠⠉⠐⠂⠤⡀⣇⠠⠔⠓⠒⠰⠈⠀⠀⠀⠀⠉⢢⡀ ⠀⣠⠜⠁⠠⢄⡠⠋⠀⠀⠀⠀⡄⠋⠁⠀⠀⢀⠄⠊⠒⠤⡀⡀⠀⠀⠀⢣ ⢰⠃⠀⠀⠀⠀⣟⠑⠉⠑⠄⠌⠤⠴⠎⣑⡲⠁⠀⠀⠀⠀⠈⠑⠄⠀⠀⡼ ⡨⠀⢀⠄⠒⠊⠛⢄⡢⢀⠀⠀⠀⠀⠀⠀⠉⠢⡀⠀⠀⠀⠀⠀⠈⠆⡼⠁ ⡇⠀⠀⠀⠀⠀⠀⠀⠓⢄⠈⠁⠒⠒⠀⠀⠀⠀⠹⠉⠉⠀⠈⠉⢀⡼⠁⠀ ⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊⠀⠀⠀ ⠀⠹⣄⣀⠀⠀⠀⢀⣀⣀⣤⠶⠷⢦⣄⣀⠀⠀⠀⢀⣤⣶⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠯⠉⠹⠁⠀⠀⠣⠀⣀⡀⠀⠋⠉⠐⠭⠻⡿⠃⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡄⠀⢰⠟⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⡄⠘⣇⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢿⡤⠿⠆⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣧⠀⠀⠀⠀⠀⠉⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⣿⠀⠀⢀⠀⠀⣤⡄⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⢀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⢹⡀⠐⢻⠃⠀⠙⢁⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⠟⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡈⡇⠀⢠⣄⣀⣠⣾⠇⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣿⣧⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡹⡀⠀⠙⠛⠛⠁⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢋⣿⠟⠿⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢽⣦⣀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡿⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⢽⣻⣯⠴⣶⠛⠉⠙⢦⡤⠖⠒⠶⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⡤⠶⠒⠋⣩⠾⢋⣡⠟⠉⢰⣧⠴⠛⠉⠉⠀⣴⠶⢶⠋⠀⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⢾⣉⠀⣀⡴⠶⠚⢛⣠⡟⠉⢻⠂⠀⠀⢠⢤⣀⣏⠙⢿⡇⠈⢷⢺⠋⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢯⡆⣼⠞⢿⡤⠤⠴⠚⢿⠀⠀⢸⠀⣖⠲⢾⢠⡈⢿⣧⣬⣷⣤⣿⠿⡄⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣧⠛⢦⠀⢧⠀⠀⠀⠘⢧⣲⣾⣧⣙⣦⡈⢻⣷⣼⣿⣿⡽⠛⣦⠀⣷⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢳⡈⢣⠈⣆⠀⠀⠀⢨⡟⢳⡟⠛⠯⣟⠻⢿⡋⠛⣇⠀⠋⠈⢧⡟⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢾⣇⣸⠶⢤⣀⣸⣋⣻⡛⠶⠾⠋⣦⠈⠻⠇⣸⢧⣷⢀⡾⠀⠀⠀⠀⠀⠀⠻⣷⣦⣄⣤⣴⡾⠟ ⠀⠀⠀⠀⠀⠀⠈⢳⡋⠀⣼⣮⣿⣌⣿⠳⠤⠤⠄⣼⠀⠀⡼⠃⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢉⡷⠋⣹⣿⣾⣍⡳⠤⠖⠀⠏⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠞⢳⠀⣿⣿⣿⣿⣿⣶⣦⣤⣤⣤⣤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⠁⠀⢈⡇⣿⣿⣯⣿⣿⡟⠉⠉⠉⢻⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣼⣿⣶⡦⠀⠀⠀ ⠀⠀⠀⣠⠞⠁⠀⢀⡴⠋⠓⡼⠿⣿⣿⢸⠁⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢩⣉⣉⣿⣦⣤⣦⠀ ⠀⠀⡸⠃⠀⠀⣠⠞⠁⣠⠞⠁⠀⠈⢻⡰⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⠛⠛⣿⡧⠁⠀ ⠀⣼⣣⣤⠴⠞⠃⣠⠞⠁⠀⠀⠀⠀⠀⢻⠡⠀⢠⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⠀⠀⠉⠁⠀⠀ ⢰⡏⠁⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠈⣦⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣮⡀⠀⠀⠀⠀ ⠈⠻⡄⠀⢸⡏⠙⢦⠀⠀⠀⠀⠀⠀⠀⠘⣇⢠⠀⠘⡆⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠋⠀⠀⠀⠀ ⠀⠀⠈⢦⡀⠳⡀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠸⡽⡆⠀⠛⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⡄⠹⣆⠈⡇⠀⠀⠀⠀⠀⠀⠀⠹⣞⢤⣀⠀⠘⠲⠤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣌⠘⡀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠘⢦⡉⠳⣄⠐⢦⣀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢧⠁⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠚⠶⣤⣈⠙⠒⠂⠈⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⡏⡆⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⢴⣶⣄⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣀⣠⠤⠞⠋⠁⠳⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⣦⣄⠀⢻⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠛⠛⠛⠛⠛⠋⠉⢉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡴⢒⣒⢛⣉⣠⡬⣿⣸⡇⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⢋⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⢁⢿⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣶⠛⠉⠉⠛⢷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠘⡼⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡿⠀⠀⠀⠀⢸⡏⠉⠛⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⢹⢧⣿⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠁⠀⠀⠀⠀⠀⠙⠄⠀⠀⠘⡟⠲⢤⣤⡀⠀⠀⠀⠀⢠⡶⠛⠉⠈⠀⠀⠀⠀⠈⠉⠛⠶⡶⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠈⠙⢷⡀⠀⣴⠟⠁⢀⡤⠤⢤⡀⠀⠀⠀⠀⠀⡼⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⢻⣼⡏⢀⣀⠈⠙⠒⠲⠇⡀⠀⢀⡤⠤⣷⣄⣀⣠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⢤⣀⣴⠚⢻⣿⠿⣿⣧⡀⠰⣀⣀⡛⠃⣀⠙⠦⣄⡇⠀⢸⡇⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⠷⣤⣀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣼⡇⠀⠀⠉⠛⠦⣀⠀⠈⠒⠋⠀⠀⠀⠀⠀⢸⡇⠀⢈⣹⡁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠛⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠷⣄⠀⠀⠀⠀⢸⠓⠒⠒⠲⠤⣿⣿⠷⣤⣿⠁⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣶⣄⠀⠀⣿⠀⢠⠀⠀⣧⠀⠀⠀⠀⣶⣿⡀⠻⣷⣤⣀⣰⠏⠀⠀⠀⠀⠀⠀⠉⢻⣿⣿⠶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠮⣳⣄⠻⣦⣸⣆⡀⠈⢳⣄⠀⠀⢸⣿⣿⣦⣈⠙⠾⣍⡛⠒⠒⠂⠀⠒⠒⠚⠉⠀⠹⡄⠀⠈⠙⠻⢶⣄⠀⠀⠀⠀ ⠀⠀⠀⠰⣦⣄⡈⠘⠓⠀⣿⠛⣏⠙⠛⠉⠳⢾⡿⠿⣿⣿⣿⡳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣄⠀⠀⠀⠀⠙⢷⡄⠀⠀ ⠀⠀⠀⠀⠈⡙⠛⠷⢄⠀⣿⠸⡌⠳⢤⣀⣀⣀⣀⣀⣈⣻⣯⣿⣦⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣦⠀⠀⠀⠀⠈⣷⠀⠀ ⠀⠀⠀⠀⠈⠙⠛⠶⠄⠐⣿⡀⠈⢳⠀⣰⠦⠀⠀⠀⠀⠈⠉⠝⠻⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠛⠓⠦⠄⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡍⠲⡄⢷⡇⠀⠀⠀⠀⠀⠀⠺⠀⠀⠀⠙⢦⣄⠀⠀⠀⡴⠋⠹⣧⣤⣾⠁⠀⠀⠀⠀⠀⠀⠹⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠘⢈⠳⢄⣀⡀⢀⠈⠀⠀⠀⠀⠀⠀⠀⠙⢷⣦⣸⣇⠀⠀⠹⠿⣧⣀⣀⠤⠴⠶⢤⡀⠀⢻⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢸⡇⠀⠀⠀⠀⠈⢦⠀⠀⠀⠈⠁⠒⠂⣸⠛⠉⠉⠀⠀⠀⠀⠈⢻⠀⠀⠀⠀⠀⠈⠣⣼⡆ ⠀⠀⠀⠀⠀⠠⠴⠞⢒⠀⠀⣸⡄⠀⠈⣇⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠀⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠸⡆ ⠀⠀⠀⠀⣀⡤⣶⠶⠋⠀⢀⡏⠙⢆⢀⠎⠑⠒⠒⠒⠂⠤⠀⠀⠀⠐⠒⠲⡇⠀⣩⢿⠁⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⣀⡠⠄⢠⡇ ⠀⠀⠀⠾⠗⢋⣡⣴⠞⠁⣸⠇⠀⠈⢾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡸⠁⠈⠻⣆⠀⠀⠀⣀⡴⠛⠉⠉⠉⠀⣀⣴⠟⠀ ⠀⠀⠀⣠⣾⠟⠋⠀⠀⠀⣿⠀⠀⠀⠀⡿⠒⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠁⠀⠀⠀⠈⠙⣟⠛⠛⠛⠒⠶⠦⠴⠾⠋⠁⠀⠀ ⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢿⣦⣄⣀⡀⠹⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⢀⣀⣀⡤⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠚⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠾⡁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢡⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠆⠀⠀⠀⠀⠀⠀ ⠙⡦⢀⠀⠀⠀⠀⠀⠀⠀⠀⢃⢁⠠⣴⠀⠀⠀⠀⠀⠀ ⠀⠘⡄⢍⠂⢄⠀⠀⠀⠘⣆⠘⡄⢂⠘⠀⣀⣀⡀⠀⠀ ⠀⠀⠈⢆⢑⠄⣈⡰⢒⣒⢞⣶⣾⣦⢟⡇⠁⢊⢗⠤⠀ ⠀⠀⠀⠀⠑⠅⡎⢹⣿⡎⣽⠻⡏⣟⣌⣯⠱⡀⢆⢃⠀ ⠀⠀⠀⠀⠀⢰⢁⣿⣿⢾⣁⠍⠴⣿⡿⡟⣔⣁⡘⢊⡆ ⠀⢀⣤⢦⡀⠀⠏⠆⢻⣢⣩⠀⠀⠀⣡⠇⢹⢧⡇⠀⠁ ⠘⣷⡻⠊⠪⡂⠀⠈⠈⣙⣷⢶⣥⠊⣿⣤⠞⠺⡇⠀⠀ ⠀⠸⣟⠀⣀⡇⠀⠀⡌⣽⡼⠙⢁⢸⡿⠁⠀⠀⢠⠀⠀ ⠀⠀⠀⢉⣿⡇⠀⠔⠋⠙⠀⠞⠁⢈⡃⢰⡄⠀⠘⡀⠀ ⠀⠀⠀⢸⠙⢛⡁⠀⠀⠀⠀⠀⠀⠈⣧⠏⢁⠀⠀⢃⠀ ⠀⠀⠀⠸⡀⠈⠢⢀⣀⠄⢀⣋⠁⠜⡏⠀⢀⠇⠀⢸⠀ ⠀⠀⠀⠀⢱⡀⢀⠎⠱⡀⠀⠀⠀⠈⠢⡀⢸⠀⠀⠎⠀ ⠀⠀⠀⠀⠀⠉⠁⠀⢀⠇⠀⠀⠀⠀⠀⠈⢺⢒⡞⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣆⡀⠀⠀⠀⠀⠀⢀⡸⠾⢷⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⡜⡀⠫⡶⠦⣤⠀⢶⢡⡄⠀⠀⠰⡀ ⠀⠀⠀⠀⠀⠀⡞⠢⢧⣠⠉⢂⡀⢉⠀⢈⡦⢠⣎⣦⢇ ⠀⠀⠀⠀⠀⠰⠁⠀⠀⠉⠺⣸⣿⠹⣀⠾⢃⡗⠉⠃⢸ ⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠈⠏⠀⠃⠀⠈⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠌⠀⠀⠘⡄⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⠋⢉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠋⣡⣞⣴⡿⠋⠀⠀⢀⣀⣠⣤⣤⣄⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢿⢃⣾⡿⠛⠁⠀⣠⡶⢟⡫⠽⢛⡷⠀⠈⠻⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⡇⣿⡟⠀⠀⢠⡾⢋⠔⣩⣔⣪⣥⣤⣤⣤⣴⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣧⣿⣧⣤⣴⣿⣁⢉⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⢦⡀⠀⠀⠀⠀⠀⢀⣴⠿⠛⠉⠁⠀⠀⠀⠈⠙⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣄⣤⠇⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠁⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⠀⣿⡆⠀⠀⠀⡸⠷⣄ ⠀⠀⠀⠀⡀⠀⠀⣿⠀⠀⠀⠀⠀⠰⠾⠛⠂⠀⣀⠈⠃⠀⠀⣿⠃⠀⠀⠘⠷⢤⡾ ⠀⠀⠀⢸⣛⡆⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠿⠶⠆⠀⢰⡟⠀⠀⠀⠀⠀⠈⠁ ⠀⠀⠀⠀⠉⠀⠀⠘⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⢀⡷⡆ ⠀⠀⣀⣀⣤⣤⣤⣤⣬⣿⣷⣦⣤⣀⣀⣀⣀⣠⣤⣴⠿⢿⣟⠛⠛⠷⣦⡀⠀⠋⠁ ⢠⣿⠋⠉⠉⠉⠁⠀⠀⢀⣿⠏⠉⠉⠛⠛⠛⠉⠁⠀⠀⠈⢿⡷⣶⠄⠘⣷⠀⠀⠀ ⠈⠛⠷⠶⠶⠶⣤⣤⡴⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠛⠀⣠⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠿⠶⠟⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣆⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⣽⣿⣶⣶⡶⠶⠿⠻⣯⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠈⠹⣷⣄⠀⠀⠈⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢷⣦⡀⠀⠈⢻⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣴⠟⠛⠷⣶⣼⠇⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⣤⡄⢀⡄⠀⠀⠀⢀⣠⣤⠤⢠⣾⡆⠀⠀⠀⠀⢀⣀⣠⣀⣄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⡾⢿⠟⠀⣾⣧⣤⣾⣿⡿⠋⡇⣰⡿⣿⣅⢀⣤⣶⣾⡿⠛⢋⣡⣶⡿⢗⣤⣦⣤⣶⠶⠖⢁⣤⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⢿⣋⡴⠋⠀⣼⢿⣯⠘⢣⢸⣿⣀⣸⣿⠏⢁⡾⠛⠛⢉⡿⠇⢊⡿⣫⣿⡤⠞⠋⣽⠏⠀⢀⣴⣿⡟⠁⣀⣤⣤⣤⣤⣤⣤⣀ ⠀⠋⢁⣾⣿⣷⣀⣼⣿⠞⢿⠆⢀⣿⠋⣹⡿⢁⣠⠎⠀⠀⠐⣹⠁⣠⡿⢺⡟⠁⠀⠀⣸⠃⢀⣴⣟⣿⠏⢀⣀⣛⣩⡿⠋⢀⣠⢾⡟ ⠀⠀⣿⣿⠃⡼⢿⡿⠉⠀⠈⠉⢉⣿⡿⢻⢃⣾⣟⣀⣀⣀⢀⡿⡉⠙⠲⢞⠀⠀⠀⢠⠇⣴⢟⣩⣿⠟⠚⠉⠀⢸⣿⡅⣠⡾⢿⡟⠀ ⠀⠀⠸⢿⠏⠀⣸⠻⡄⠀⠀⣠⡾⠋⡵⠋⠀⠀⠀⠀⠀⠈⠙⢶⡷⢤⣀⢈⡆⢀⣠⣾⠾⠛⠋⠠⠋⠀⠀⡴⡇⠜⢨⣿⠋⢠⠟⠀⠀ ⠀⠀⢠⢻⠀⠀⠁⠀⠘⣠⡾⠋⠀⡞⠀⠀⢀⣀⣄⠀⠀⠀⠀⠀⠱⡀⢈⡭⠿⠛⠋⠁⠀⠀⠀⠀⡀⠀⠀⠣⠤⣴⣿⠽⠃⠋⠀⠀⠀ ⠀⠀⠀⠀⢀⠆⢀⣴⠏⠟⠁⠀⣸⡇⠀⠀⠸⣀⡼⠁⠀⢸⣋⡇⠀⡇⠀⠀⠀⠀⠀⣀⣀⣤⣤⣒⢳⣄⣤⣤⡬⠟⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠃⣠⠊⢀⣄⣤⣖⠉⠈⣇⠀⠀⠀⠀⢰⡤⢤⠄⠉⠀⢀⡇⠀⠀⠀⢠⠬⠋⠁⠀⠀⠀⠉⠙⠳⠶⣤⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡰⢁⠴⠋⠁⠀⠀⠉⠢⣜⢦⡀⠀⠀⡜⠉⡟⠀⢀⣀⠞⠛⠊⠁⠀⠀⠀⠀⡀⠀⠀⠀⢠⠀⠀⠀⠀⠙⢳⣶⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣱⠁⠀⠀⠀⠀⠀⠀⠀⢙⣦⣉⡲⢶⣿⣿⡧⠖⠛⠁⠀⠀⠀⠀⠀⠀⠀⠈⣤⠀⠀⠀⡆⠀⠀⠸⠀⠀⡿⠼⣿⣶⣖⠀⠀ ⠀⠀⠀⢀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠻⠿⠿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠐⣏⠁⠀⠀⡇⠀⠀⡀⠀⡸⠀⠀⠀⠀⠈⠁⠀ ⠀⠀⠀⢌⠻⢄⡀⡀⠀⠀⠀⠀⡴⠊⠀⠀⢀⠀⠀⠈⣇⠀⠀⠀⠂⠤⢤⣤⡀⠸⡀⠀⠈⠑⠚⠛⠛⠛⣿⣩⣟⠁⠀⠀⣾⠃⠀⠀⠀ ⢰⠀⠀⢫⠀⠢⣌⡙⠛⠓⠒⠾⠁⠀⢀⠀⠀⠳⡀⠀⠸⡄⠀⠀⡎⠀⠀⠈⠉⠒⠉⠢⣄⣀⣀⠤⠤⠒⠋⠁⠈⢳⣆⠀⠘⠢⢄⣀⠁ ⣿⠀⠀⠀⠀⠀⠑⣌⠉⠒⠢⣶⣄⠀⠈⠣⡀⠀⢱⠤⠴⡇⠠⣾⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠒⠒⠰⢏⣓⣆⠀⠀⠙⠛⠓⠒⠋⠀⠀ ⠹⣆⠀⠀⠀⠀⠀⠈⠛⠶⠶⢤⣝⢦⣀⠀⣸⣞⣡⠴⠚⠡⠾⠿⠟⠛⠋⠉⠉⠉⠳⡄⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠓⠒⣆⠀⠀⠀ ⠀⠉⢦⡀⡰⠁⠀⠀⠀⠀⠀⣄⠘⣆⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠰⡀⠱⡤⢄⣀⣀⠀⠀⠀⢀⠀⢀⠀⢰⠀⢹⠀⠀⠀ ⠀⠀⠀⠙⢧⢀⠀⠀⢢⠀⠀⠘⡄⠘⣎⠉⠒⠒⠤⠤⢤⣦⡀⠀⡀⠀⠀⢃⠀⠀⢳⣀⡇⠀⠀⠉⠛⡇⠀⢘⣀⣀⡄⠸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢾⣧⡀⠀⢳⣀⡤⠖⢺⡉⠀⠈⠷⣦⡤⢄⣀⠙⠺⢿⣄⠀⣨⡆⢒⣩⠽⠃⠀⠀⠀⠀⠐⠒⠒⠒⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠛⠒⠚⠓⠒⠚⠉⠁⠀⠀⠀⠀⠈⠉⠒⠋⠱⠶⣭⣉⣈⣛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠋⠉⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⣰⠋⠀⠀⡠⠚⠉⠀⠀⣠⠔⠀⠀⣀⡤⠤⠤⣄⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠖⠲⡄⠀⠀⠀⠀⠉⠁⢰⡃⠀⠀⣼⠥⠤⠤⣴⣭⣁⣠⠖⠋⠀⠀⠀⠀⠈⣷⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⠁⠀⣠⢬⡀⠀⠀⠀⢀⣴⣞⡡⠤⠤⠴⠒⠒⠒⠶⠤⢌⣁⡀⠀⣴⠚⠋⠉⠉⠁⠀⢠⠋⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡼⠁⠀⡰⠁⠀⠁⠀⠀⡴⠋⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢷⣄⠀⠘⠀⢠⠃⢠⠞⠣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⠃⠀⢰⠃⠀⠀⠀⠀⣼⣡⠼⠖⠒⡺⣏⠉⠉⠉⠉⢉⡽⠑⠒⠲⠤⣀⠀⠀⢿⡇⠀⢀⠇⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡟⠀⠀⡎⠀⠀⠀⣀⣤⣿⠁⢠⡊⠉⠉⡷⠀⠀⠀⠸⡟⠉⠉⢳⠀⠀⠀⠉⠓⢶⣿⢤⣼⡀⣸⣤⣌⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡇⠀⢠⠁⣠⣴⠞⠛⡿⡏⠀⠀⠉⠀⠉⠁⢤⡤⠀⠀⠑⠲⠒⠋⠀⠀⠀⢀⠀⣼⡇⠀⡟⢦⡇⠀⠈⠙⠿⣶⣀⠀⠀⠀⠀⠀ ⠀⢸⠁⠀⢸⢰⠟⢃⣀⠴⠤⣼⣀⠀⠀⠀⢠⣀⡼⢆⣀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠁⢸⠀⢸⠀⠀⠀⠀⠀⠘⡌⠙⢦⡀⠀⠀ ⠀⢸⠀⢠⣿⡏⠀⠉⠀⠀⠀⠈⢧⢂⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣇⣤⡾⠁⠀⡌⠀⡼⠈⠐⠒⠢⣀⠀⢱⠀⠀⠻⣦⠀ ⠀⢸⣴⠛⣷⡟⠀⠀⠀⠀⠀⠀⠀⠳⢄⡃⠘⠀⢰⠀⢦⠀⢄⠰⢦⣲⣌⣑⣶⠏⠀⠀⢠⠇⡀⡇⠀⠀⠀⠀⠀⠁⣸⠂⠀⡀⠈⣱ ⠀⣸⠃⢀⠇⢧⡀⠀⠀⠀⠀⠀⠀⠈⠢⢌⣓⠶⣤⣥⣬⣤⣬⣥⣴⣾⠿⠋⠘⣀⡠⠔⢹⠋⢀⠇⠀⠀⠀⠀⢀⣴⠟⠀⢠⠇⢀⠇ ⢀⣿⡄⡎⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⡴⠀⠈⠉⠒⠯⣝⠛⠻⠟⣫⠥⠒⠚⠉⠁⠀⠀⠈⢣⣸⠀⠀⠀⣀⠔⠋⠀⢀⣴⢃⡠⠊⠀ ⣼⠇⠛⣇⠀⠀⠀⠀⠈⠓⠶⣤⣤⠎⠀⠀⠀⠀⠀⠀⠈⠓⢀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣢⣴⣾⠷⡶⢶⣾⠛⠛⠉⠀⠀⠀ ⠹⣦⡀⠘⠦⣄⣀⠀⠀⣀⣴⣿⠛⣦⣀⠀⠀⠀⠀⠀⠀⠀⠸⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⢃⡜⠀⠀⠻⣇⠀⠀⠀⠀⠀ ⠀⢻⣿⡄⠀⠀⠀⢉⠙⣏⠀⠈⣧⠀⠙⠷⣦⣤⣄⣀⣀⣀⣠⣷⣄⣀⣀⣀⣀⣀⣀⣤⣤⢾⣿⣿⡷⡋⡇⠀⠀⠀⢹⡆⠀⠀⠀⠀ ⠀⠀⠙⢿⣆⠀⠀⢸⢁⡘⣆⠀⢹⠀⠀⠀⢸⡟⠷⠤⢀⣀⣀⣹⣦⣍⣩⡭⢹⠉⠛⢻⣾⣿⡾⠏⢰⣿⣧⢀⠀⠀⠈⢻⡆⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⠦⣞⡁⠀⠈⢦⣸⠀⠀⠀⡞⡇⠀⡇⠀⠙⠻⣏⡈⠻⢻⣿⢿⣟⠛⢻⢿⣼⣇⠀⣸⣿⣁⡾⠇⠀⠀⢠⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢱⣜⣿⢢⣄⣀⣽⣧⡀⠀⡇⡇⠀⡇⠀⢀⠀⠀⠉⠑⠚⠟⢞⡛⠂⠏⠀⠀⠉⠹⣧⣄⠉⠀⠀⢰⠀⣻⡇⠀⠀⠀ ⠀⠀⠸⠀⣤⡾⠋⠀⡤⢀⣈⣠⣾⣯⣷⣼⠁⢧⠀⡇⠀⢸⡆⢠⡀⠀⠀⠀⣠⢽⡷⢶⣖⠒⠂⢠⣿⠶⢿⠦⠤⠽⠓⢿⡇⠀⠀⠀ ⠀⠀⠀⢰⣇⡟⠀⢀⡾⠋⠀⢠⡆⠈⠀⣿⠀⠈⠀⣣⡴⠆⢣⡌⣧⡤⠤⠴⣇⣼⠀⣸⠀⠀⣤⢸⣿⣀⣏⠀⣚⠀⢀⣾⠁⠀⠀⠀ ⠀⠀⠀⠈⠛⠳⠤⣿⠀⠀⠀⣿⣶⡤⠼⠛⡇⣀⣤⡿⣤⠀⢸⡇⢸⠀⠀⠀⠀⠈⢉⣉⣉⣉⣿⡿⡇⠤⠬⠹⠛⠋⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠶⣿⣤⣤⡴⠿⠟⠋⠙⠛⠛⠛⠛⠛⠿⠘⠚⠛⠛⠒⠖⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢻⠋⠲⡀⠱⡄⠀⠀⠀⠀⠀⠀⢠⠏⣠⠟⠓⠦⡤⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠈⢦⠘⣆⠀⠀⠀⠀⠀⠘⠀⡏⠀⠀⢠⢧⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠈⣧⢹⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⣾⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡿⣦⡀⠀⠀⢸⡜⣦⣖⡖⠫⠵⣁⠘⠧⣀⠜⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢺⠃⠉⠻⣦⣄⡸⠗⣁⢼⠁⠀⡀⠈⠳⡀⠈⠒⡪⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠟⠀⢠⡾⠁⠀⡰⠾⢅⠀⠀⠀⠈⠢⡀⠘⣄⠀⠈⢢⡈⠺⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡴⠋⠀⢠⡿⠀⣠⡞⠀⠀⠀⠀⢤⡀⠀⠀⠙⠄⠘⡖⡄⠀⠙⢄⠀⠈⢉⣉⣩⠕⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠞⠁⠀⢀⣿⠁⢰⠟⠀⠀⠀⠀⢸⠻⣾⣦⠀⠀⠀⠀⣹⡈⢦⠀⠈⢯⠉⠥⣄⠠⠭⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠶⠖⠁⠀⠀⠀⣼⢇⡰⠋⠀⡀⠀⡾⠀⣾⢐⣻⣩⢷⣦⠀⠀⠹⡇⠈⣆⡇⠈⣇⠀⠈⠉⠒⠒⠒⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡤⢊⡴⠋⢠⡆⠀⡇⢠⡇⠀⣿⠉⠀⠀⠈⢻⣧⡀⠀⣿⠶⣾⣷⡤⢸⡍⢒⣴⢖⡚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠨⠥⠴⢯⠖⢊⣽⠀⠀⡇⠸⡇⢀⣿⠀⢀⡠⠔⠋⢻⣧⣠⣼⣿⣿⣿⣿⣮⣇⠀⠢⣉⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠴⠋⠀⡼⠃⠀⡠⣯⡄⣧⢸⣿⣯⣭⣤⣤⣄⠀⣿⣿⣿⡟⠉⠋⣿⣯⣿⡖⠒⠚⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠋⠀⢀⡔⢁⡠⡖⠁⣿⣧⠙⠘⣿⠟⠛⠉⠁⠀⠀⢹⡏⢿⠃⠀⠀⣿⣿⣜⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡀⢷⣄⠀⠀⠀ ⠀⠀⠀⠀⠐⣿⣻⡷⠂⡇⢠⣿⣿⣧⠠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⣿⡏⠳⡇⠀⠀⠀⠀⠀⠀⠀⠀⣤⣙⡭⡒⣧⢱⡀⠀ ⠀⠀⠀⠀⢰⡿⣿⠁⡟⣧⢸⠘⣿⣿⣷⣪⣷⡀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣬⠷⣌⠻⠌⢧⣷⠀ ⠀⠀⠀⠀⠘⡇⠻⢠⡇⠘⣿⠀⠘⣿⣇⢿⢿⣯⢷⡲⠤⢤⣀⣀⣠⢿⠿⣿⡃⣿⠟⣍⠉⠑⠢⣄⠀⠀⠀⠀⠀⠀⠙⢌⠑⠀⠀⠈⡆ ⠀⠀⠀⠀⠀⠁⠀⣸⣡⠞⢹⡆⡴⠙⣟⠞⡆⢹⣦⠉⠑⠲⠤⠭⠽⠏⣠⠻⣇⣿⠀⠈⠣⡀⠀⠈⣆⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠙ ⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠈⣿⠥⠒⠻⡆⢹⡄⢷⠀⠀⠀⢀⠤⣼⣿⣿⣁⣈⣿⢖⠀⠀⠈⠢⡀⢸⡄⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠳⠤⠤⠤⢿⡀⢷⢸⡧⣄⡀⠙⢤⣴⣿⠍⠀⠉⠁⠀⠙⠦⣀⠀⠈⠪⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰ ⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⢸⡷⡄⠸⡇⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⡀⠙⡄⠀⠀⠀⢀⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⡇⠹⣼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⠹⡄⠀⢠⠞⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡋⠀⠀⠀⠀⠀⠀⣀⡈⣷⠀⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⠒⠚⢣⣷⣜⠁⠀⠀⠉⢒⡞⠀⠀ ⠀⠀⠀⠀⠀⢠⠏⠣⣄⡀⠀⠀⢀⣼⠃⠙⢺⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢠⡖⠢⣷⠈⠳⣄⠀⠀⡼⠁⠀⠈ ⠀⠀⠀⠀⢀⡞⠀⠀⠀⠉⠉⣹⡿⣿⠀⠀⢻⠀⠀⢸⡇⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⢸⠇⠀⢸⡇⠀⠻⡳⣞⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⡄⠀⠀⠀⠀⢀⡾⠁⠸⡆⠀⡿⠀⠀⢈⡷⠃⠈⠉⠒⠦⣄⠀⠀⠀⠀⠀⠀⠀⢸⠁⣸⠀⠀⡾⢳⡀⠀⠙⣎⠳⡄⠀⠀ ⠀⠀⠀⡼⠀⠳⣄⡀⣀⣰⡟⠀⠀⠀⠹⣄⡇⢀⠀⠈⡇⡠⠒⠢⢄⠀⠀⠙⠢⣄⠀⠀⠀⢠⡏⠀⡏⠀⣴⡇⠀⢱⣤⠀⠈⣧⢹⡄⠀ ⠀⠀⣼⠁⠈⠉⠉⠉⠙⠾⣄⠀⠀⠀⠀⢸⠧⣼⡆⢔⢿⠀⠀⠀⠀⠙⠢⣄⠀⠀⠙⠢⢤⠞⠀⣸⡥⠴⣿⣇⡴⠋⢹⣄⠀⠸⡆⡇⠀ ⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⢸⠀⢹⠱⡘⠞⣇⠀⠀⢀⠀⢀⣠⠽⠲⢤⣀⠀⢀⡰⠃⠀⢰⣿⡇⠀⠀⢸⠹⡄⠀⢸⡇⠀ ⠀⠀⢿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠀⢸⠀⠸⡆⠣⠀⠹⡍⠉⠉⠉⠉⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⢸⣿⡇⠀⠀⣸⠀⣧⠀⢸⠁⠀ ⠀⠀⠀⠻⣅⡀⠀⠀⠀⠀⢀⠔⠉⠀⠉⠻⣧⠀⢷⠀⠀⠀⠙⢆⠀⠐⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠳⡀⢠⣇⡴⢻⢀⡇⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠒⠢⣤⠾⠀⠀⢀⣀⡠⣧⠑⢌⢧⡀⠀⠀⠈⠳⡄⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⠛⠯⣀⡀⠸⠚⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣣⣴⣶⠗⠛⢻⡀⠘⡆⠈⢦⠱⣄⡀⠀⠀⠈⢲⣄⡘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣄⡀⠈⣕⢦⣀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⢾⣏⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠚⠋⠉⠀⠀⠀⠀⠀⠙⠻⢯⡙⠛⠒⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⡵⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣷⠄⠀⠀⠙⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⣡⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡟⠃⠀⠀⠀⠘⣎⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣞⡴⠁⠀⠀⠀⢀⡤⠖⠚⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⣀⣤⠤⣄⠀⠀⠀⢹⡀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⣸⠃⠀⢠⣾⣷⣆⠀⢸⠇⠀⠀⠀⢠⡞⠁⠀⠀⠈⠙⣆⠀⠀⣧⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⢀⡏⠀⠀⣿⣿⣿⣿⠀⡿⠀⠀⠀⠀⢸⢁⣤⣤⡀⠀⠀⢸⡆⠀⢸⡄⢻⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡞⡁⠀⠀⠀⠀⠀⠀⢷⡀⠀⠻⣿⡿⠋⣸⠃⠀⠀⠀⠀⣾⣾⣿⣿⣷⠀⠀⠀⣧⠀⠀⣷⠈⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣻⠃⠀⠀⠀⠀⠀⠀⠀⠙⠓⠦⠤⢤⠴⠃⠀⡀⠀⠀⠀⢻⣿⣿⣿⠇⠀⠀⢠⡿⠀⠀⠸⡆⢹⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡏⠀⡴⠲⡄⠀⠀⠀⠀⠀⠀⠤⣆⠀⠀⠀⠯⣉⣉⣳⡆⠈⠳⣍⣁⠀⠀⣠⠟⠁⠀⠀⠀⢻⡘⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣷⣴⠓⠲⡇⠀⠀⠀⠀⠀⠀⠀⠈⠳⠤⣤⣤⠼⣅⡀⠀⢀⣠⡄⠉⠉⠉⠁⠀⠀⠀⠀⠀⣴⣷⢿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣴⢿⡯⠤⣄⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠀⠸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡟⣛⠛⣿⠀⢸⡏⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⡟⠀⠀⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣷⡿⣿⣿⠲⣼⣀⠀⢸⢻⠛⠲⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠊⠁⢻⡁⠀⠀⠘⣇⠀⠀⠀⠀ ⠀⠀⠀⠈⣻⡶⠿⣏⢀⡇⠈⠙⠛⠛⠛⠋⠉⠉⠉⠙⢛⣒⣲⣶⣶⠶⠶⠶⠶⢶⣶⠒⠚⠋⣿⣧⠀⠀⠘⣇⠀⠀⠀⢻⡀⠀⠀⠀ ⠀⠀⠀⢰⢿⠀⠀⠈⢻⡇⠀⠀⠀⠀⠀⠀⠀⢀⠴⠚⠉⠉⠉⠉⠉⠉⠳⣄⠀⠀⠈⠙⢦⡀⢹⣹⡀⠀⠀⢹⡀⠀⠀⠈⣧⠀⠀⠀ ⠀⠀⢀⡟⠈⡿⢷⠀⡼⠉⠓⢶⣤⣤⣄⡀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⢤⡀⠀⠀⢻⠸⡟⡇⠀⠀⠈⣧⠀⠀⠀⢹⡄⠀⠀ ⠀⠀⣾⣻⢿⡇⣾⣿⠀⠀⠀⡿⣾⠀⡟⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⢳⡄⢀⡾⠀⢷⢻⡀⠀⠀⢸⡆⠀⠀⠈⣧⠀⠀ ⠀⢠⡟⠀⣼⣷⢻⣿⠃⠀⣸⣳⡇⣼⠃⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠹⣏⠀⠀⠸⡟⣇⠀⠀⠀⢷⠀⠀⠀⢹⡄⠀ ⠀⣸⠁⠀⠛⣿⣦⡻⣷⢦⣟⣿⡞⠁⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠘⣆⠀⠀⢻⣿⡄⠀⠀⠘⣇⠀⠀⠈⣧⠀ ⠀⡟⠀⠀⢀⡿⠉⠙⠛⡾⣹⡿⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⢸⡆⠀⠈⢷⣷⡀⠀⠀⠹⡄⠀⠀⢹⡄ ⢸⡇⠀⠀⣼⠁⠀⠀⣼⢳⢿⡇⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⢸⠇⠀⠀⠈⢯⣷⡀⠀⠀⢻⡄⠀⠈⡇ ⢸⡇⠀⠀⣏⠀⣀⡼⣣⠏⠀⢷⡀⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⡾⠀⠀⠀⠀⠈⢯⢷⡀⠀⢈⡇⠀⠀⡿ ⠀⠻⣆⣀⣈⣋⣥⠞⠁⠀⠀⠀⠳⣄⡀⠀⠀⠀⠙⠲⢄⣀⣀⣀⣀⡠⠖⠋⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠈⢳⡳⠶⠞⠁⣠⠾⠁ ⠀⠀⠀⠉⠉⠁⠀⠀⠀⢀⣀⣀⣤⠤⠿⠓⠶⠶⠶⠒⠉⢻⡍⢉⡟⠙⠒⠲⠖⠒⠛⠙⠓⠲⢤⣄⣀⠀⠀⠀⠀⠉⠛⠛⠋⠁⠀⠀ ⠀⠀⠀⣠⠴⠖⠚⢛⠋⠉⠉⢠⡀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠒⠶⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⠀⣰⠋⠀⠀⡾⠉⠀⠀⠀⠀⠀⢀⣠⠖⠉⠀⠀⠀⠈⠙⠲⢤⣀⠀⠀⠀⠀⠀⠘⣆⠀⠀⢸⡄⠀⣸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠳⠶⠿⣤⣀⣀⣧⣀⣀⣠⡤⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⣄⣀⣀⣀⣿⣀⣠⠼⠷⠶⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⡏⠢⡐⠄⠀⠀⠀⠘⡰⠉⢲⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⡇⠀⠈⡼⠀⢀⣀⡀⡇⠀⡶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠙⢦⣀⠧⡋⠋⠉⠂⡉⠪⠅⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠃⣰⠋⡠⠊⠀⠀⠀⠀⡈⢄⠈⢈⠑⠦⠤⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠔⠁⢠⠇⡸⠁⠀⠀⢚⡧⡀⠀⢰⠐⠀⠱⠈⠭⣕⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠁⠀⠠⡪⢊⠄⡆⡀⢸⠒⠉⠹⣆⠀⡧⣵⣤⢓⠠⣄⠐⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⠊⡵⠀⡇⢁⢸⣤⣔⡈⠹⣦⣾⠿⢿⢿⡀⠢⠍⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠊⢀⣔⡤⡎⣼⡌⢸⡛⠋⠁⠀⠋⠋⠀⡸⣧⣱⠀⠀⠀⠀⠀⠀⡄⣳⠄⠀ ⠀⠀⠀⢸⠿⠱⠃⠙⣿⣎⣧⡀⠀⠀⠀⠀⣰⡇⣿⠈⠀⠀⠀⠀⠀⣽⢜⠪⠮⡄ ⠀⠀⠀⠘⠀⣆⡸⡄⡹⣏⡟⣟⠣⢒⣂⣮⢋⡇⡏⠡⡈⠑⡄⠀⠀⠀⢱⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⢀⡿⠐⢱⠰⢸⠀⠀⡄⢾⡿⠬⠗⢀⠈⠢⣸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡰⠁⠀⠉⠉⡦⠙⡍⠐⠚⠋⠁⠀⠀⠀⠁⠢⡈⠆⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⢠⠃⠀⠀⠀⡀⠃⠱⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⠌⢊⣆⠔⠐⠤⡤⠀ ⠀⠀⠀⢀⠋⠢⠄⢀⣴⠉⢹⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢰⠒⢇⠑⣄⡰⠁⠀ ⠀⠀⢀⢌⠀⠀⢀⡜⠘⡀⡈⠀⢸⠊⠀⠢⢄⠀⠀⠀⠀⡘⠸⠀⡜⡀⠑⠕⠄⠀ ⠀⠀⡌⠀⠓⠰⣞⠀⠀⠐⡇⡄⠸⠈⠉⠂⢄⠈⠂⠄⡠⠁⣇⣼⣅⠼⡇⠈⡜⠀ ⠀⠀⡆⠀⠀⠀⠀⠑⡀⠀⠀⡗⠔⢣⠄⠀⠤⠘⠐⠠⠤⠈⠀⣾⠃⠀⡟⡄⢰⠀ ⠀⠀⠙⠅⡀⠀⠀⠔⠈⠐⡧⠰⡀⠀⠢⡀⠄⠀⠀⠀⠀⠀⠀⢋⢂⣠⠠⠃⠀⠀ ⠀⠀⠀⠀⠀⠈⣏⣤⠴⢖⠱⠐⠕⣄⠀⠐⢄⡑⡄⠀⠀⠀⠀⠀⠁⣁⠂⡤⡀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢊⠁⠉⡄⠀⢀⠔⣂⠐⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⡰⠀⠀⠆⠌⠀⣂⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠡⣰⡣⠄⠚⠚⠰⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠋⠀⢠⡀⠀⠆⠈⡦⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠘⡆⣴⣦⠠⠿⠂⠶⡷⢀⣀⡱⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⠊⠔⢂⠉⠉⠈⠳⠖⣤⣤⢤⡾⠃⡇⠀⠑⢹⠐⠂⢄⡀⠀⠀⠀ ⠀⠀⠀⠀⡰⠁⡘⠀⠀⠃⠠⠤⡀⠀⠈⢇⡄⠁⠘⡗⠠⠤⠀⢀⡀⠀⠘⡄⠀⠀ ⠀⠀⠀⢰⠁⠀⠀⢢⠀⡀⠀⠀⠈⢂⠀⢸⠸⠅⣰⠵⢄⡀⣘⡕⠊⡒⠒⢌⢣⠀ ⠀⠀⠀⡌⠀⠀⠀⢩⠂⠐⢄⠀⠀⠈⠀⡾⡘⡭⡣⡖⣉⠙⠛⠳⣠⠁⢀⠀⡛⡄ ⠀⠀⣀⠗⠂⠀⠀⡌⢠⠘⡀⠑⠒⠈⠀⠁⡏⠉⠉⠐⠢⠀⠉⠀⠉⣦⠊⣠⡡⠃ ⡠⣋⣀⠙⠂⢄⣀⣰⣊⣂⠐⢄⠀⠀⠀⠀⡌⠀⠀⠀⢴⠀⢀⢄⡩⠃⠈⠀⠀⠀ ⠀⠀⠈⠋⠁⠀⠀⡇⠀⠀⠑⠢⡑⠄⡀⠀⢃⠤⠄⠒⢁⠔⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠑⠬⠥⢀⣀⡒⠊⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠄⢂⣀⠤⠐⠂⠉⠀⠎⠀⠀⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⡰⠉⢠⠒⠁⣠⠔⢀⠤⠄⢤⡀⠀⠠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡔⠉⣑⠀⠀⢀⣠⣃⠀⠣⠤⠬⢒⡚⠁⡠⠄⠀⠃⢠⠒⠀⠀⠀⠀⠀⠀ ⠀⠀⡘⠀⡜⠀⠁⢠⢊⣀⢀⠤⠤⠤⢤⢀⣀⠈⠘⣦⠈⢠⠃⠎⠃⠀⠀⠀⠀⠀ ⠀⠀⠃⢰⠀⢀⣠⡼⠡⡂⢑⠅⠀⠰⠛⢐⡄⠈⠐⢸⠦⡤⡼⠴⣀⠀⠀⠀⠀⠀ ⠀⢸⠀⡄⡖⣋⡘⣁⠀⠀⢀⣈⡃⠠⠈⠁⠀⠀⠀⠸⢠⠈⠇⠀⠈⢻⠢⡄⠀⠀ ⠀⢸⡠⣻⠄⠁⠀⠈⢆⠢⢀⢀⢀⢀⢀⡀⡨⣊⡶⠁⠘⢰⠀⠀⠀⠄⣇⡈⠢⡀ ⠀⣸⢁⠹⡀⠀⠀⠀⠈⠪⢒⡤⣤⣤⣥⣼⠞⣙⠠⠔⡗⠘⠀⠀⢀⠴⠃⡘⢠⠁ ⢀⠟⢆⠀⠈⠐⠤⣀⡠⠃⠀⠀⠑⠨⠩⠊⠁⠀⠀⠀⠈⠢⣠⡴⣥⣤⠾⠒⠁⠀ ⠀⢷⡈⠒⠤⠤⡴⠫⡱⢄⡀⠀⠀⠀⣃⠀⠀⠀⠀⠀⣀⣾⣟⢼⠀⠙⡄⠀⠀⠀ ⠀⠈⠳⣄⠀⡗⠡⡀⡇⠀⢹⠛⠭⢍⣙⢭⣩⣽⣙⣻⡿⡿⢹⣾⢄⠀⠙⡄⠀⠀ ⠀⠀⠀⠈⢫⣦⢄⢑⣧⠀⡇⠀⡇⢀⠑⠂⠼⢿⠯⠙⠙⠓⣞⡓⠉⠀⢰⠁⠀⠀ ⠀⠀⠃⢶⠍⢐⡄⢐⠻⢳⡇⠆⣇⡘⠀⡄⠀⡐⡟⠳⠈⡀⡿⢺⢒⠚⢹⠂⠀⠀ ⠀⠀⠀⠛⠤⡇⠀⣾⣤⣜⣇⣤⣯⢀⣇⡋⠀⠈⠁⠊⠴⠷⠏⠍⠚⠒⠉⠀⠀⠀ ⠀⠀⠀⠀⠉⠑⠊⠉⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢲⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡼⠿⠻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠁⢠⡒⢛⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠀⢠⠤⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠪⠤⡈⠵⠂⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣠⠀⠀⡀⠀⣸⢌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⢲⢍⠉⡄⠉⣹⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢣⢺⠋⡀⢰⢰⡟⢚⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠀⡀⠀⠀⠀⠀⢘⠀⡜⠢⣎⡉⣸⢣⡎⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡠⢴⠉⡇⠀⡍⢄⠀⠀⠀⡸⣤⣃⠠⠽⠭⠧⠤⣳⣢⠀⠀⠀⡠⠊⢩⠲⠠⡀⠀ ⠇⢸⠀⢃⠀⢙⡋⠄⢂⠩⢿⣭⠷⢈⠙⡝⠉⡽⢡⡾⠩⠔⡒⢄⠀⡄⢠⠀⠇⣷ ⢰⠀⠆⠘⡀⠀⠗⢩⠀⠀⠀⢣⣰⠀⣧⢇⠀⣰⡜⠀⠀⢀⠃⢉⡔⢀⠆⠰⢠⠸ ⢄⢣⡈⢄⠐⣄⠈⢄⠄⠀⠀⠈⡇⠹⡅⢀⡖⢠⡀⠀⠀⠸⣤⠎⣠⠊⡠⢁⢂⠂

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠘⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⡇⢀⣷⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠘⣏⣇⣿⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣦⠙⠿⠟⠋⠉⠁⠀⠀⠉⠉⠛⣷⠛⠛⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⢀⡀⠀⠀⠀⣄⠀⠘⠧⡤⠾⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠘⠷⠶⠟⠁⣀⡀⠀⠙⠷⣶⠴⠇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠠⣀⢨⡅⢤⡀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠠⣄⡄⠀⠀⠙⠋⠉⠋⠁⠀⠀⠀⣤⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣯⣀⡟⡖⢶⢴⢶⣴⣶⡀⣦⣦⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠛⡏⢏⠉⠉⠉⠙⠉⠉⠉⠉⡿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡶⠶⠾⠿⣿⠋⠁⠀⠀⠁⠘⣆⠀⠀⠀⠀⠠⠀⠀⠉⠀⠉⠷⡶⠶⢦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⠛⠉⠀⠀⠀⢴⡿⠓⠒⠒⠂⠤⠤⢤⣀⣀⠀⠀⠀⢀⣀⣀⡠⠤⠔⠂⠙⣤⠀⠀⠈⠙⠻⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⠔⠚⠉⠉⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⡀⠀⢀⣠⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⠿⢆⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣥⣼⠿⠛⠑⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡏⠳⢮⣃⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⢹⣧⠙⣓⠦⠤⠥⠤⠤⠤⠖⢛⡁⠈⡛⠲⠤⠤⢬⣤⣤⠤⠴⣋⣼⠇⠀⠀⠈⠙⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⣿⡄⠈⠑⠶⡀⠀⣠⠔⠛⠉⠀⠀⠉⠓⠦⣄⡀⠀⠀⣠⠞⠁⡟⠀⠀⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣤⣶⢾⣿⣿⢷⣄⢀⣠⡶⠿⣄⠀⠀⠀⢀⣼⠋⢷⡀⠀⠀⠀⠘⡎⠑⠒⠒⠉⠀⠀⠰⠚⢩⠱⣄⠀⠃⠀⣼⣧⠀⠀⠀⠀⢀⣿⣧⣄⠀⢠⣾⡿⣶⡶⣦⣀⠀ ⠀⣿⠁⠺⣿⠋⠉⡿⠋⠉⠀⠀⠈⠳⣄⡶⠋⠈⠀⣾⠛⠆⠠⠀⢀⣹⠤⠤⣀⣀⣀⡀⠀⠤⢯⡀⠈⠀⠀⣾⡇⠈⠙⠶⢄⠖⠉⠀⠀⠙⠻⢿⠉⠙⣿⡇⠈⣿⠀ ⠀⢿⣦⠄⠛⢽⣀⠀⠀⡀⠀⠀⠀⢀⠇⠐⠀⣀⣾⣿⣶⣤⣄⣀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⣹⣇⠀⠀⠀⠣⣀⠀⠀⠀⠀⠀⠈⢳⣾⠟⢁⣼⡟⠀ ⣶⡟⠁⣠⣶⠂⠉⣃⣴⣇⣄⣀⣒⣁⣠⠤⠖⠋⠉⠉⠉⠉⠛⢯⣝⣳⡶⠶⠲⢦⣤⣤⠖⠛⢷⣲⣶⠾⠿⠟⠿⠛⠦⢤⣀⣈⣀⣀⣤⣼⣦⡐⠋⠱⣦⡀⠉⠳⣦ ⠻⡷⠞⣿⣋⣠⡾⠉⠀⠀⢸⡿⠍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡀⠀⠀⠀⢹⣥⣤⠤⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠹⣿⣟⢦⣄⠙⣿⠲⡶⠟ ⠀⠀⠀⠀⠉⠉⠀⠀⢀⣶⠛⠀⢦⣀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘⢯⣲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡀⠈⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠘⣆⠀⠀⠙⠦⢄⣀⣀⠀⠀⠀⠀⠈⠉⠛⠷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠄⠀⠀⠀⣰⠆⣸⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠸⠄⠀⠀⠀⠀⠀⠀⠀⠁⠉⠀⠀⠀⠀⢀⣸⣿⣷⣤⣀⠀⠀⠙⠶⣄⠀⠀⠐⠋⠀⠀⠀⠀⣰⠋⣠⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢶⣼⣗⡋⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⠶⠿⣿⣿⣿⣿⡿⠟⠻⢶⣤⣀⠈⠓⠦⣤⣀⣀⣀⣀⣸⣡⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢶⣤⣤⡤⠶⠶⠞⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠷⠶⠖⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢤⣀⣀⣀⡤⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣀⡀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠒⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⡐⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠄⡀⠀⠀⠀⠀⠀⠀⠀⡇⣼⠇⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡉⡝⠀⠀⡇⠀⠀⠀⠀⢀⡴⠉⠀⠀⠀⠀⠈⠳⠤⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠪⣄⡜⠀⠁⠢⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠹⡀⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⠀⠀⠀⠑⠀⡇⠀⠀⡖⠉⡆⠀⠀⠀⢀⠗⠶⢀⣀⠤⠴⢤⡀⠀⠀ ⠀⠀⠀⠀⣀⠤⠤⣄⡠⠴⢳⡀⠀⠈⢈⠠⢄⠂⢐⡜⠀⠀⢸⡔⢀⡀⠀⠱⠀⠀ ⠀⠀⠀⣏⠐⠉⠓⢠⠬⠵⣄⠈⠻⢲⢤⣳⡽⢶⡛⠉⠐⢦⡠⠼⣾⠃⠀⠀⢣⠀ ⠀⠀⡜⢁⠋⠔⠲⢀⠵⡒⠃⢃⠀⡆⠈⠰⠍⠀⠊⠢⢠⠊⠀⠀⠀⢦⠀⠀⠈⡄ ⠀⢸⠀⢸⠀⠒⢣⠁⠀⢸⠈⢻⣀⠃⠑⠀⠈⠆⠀⠀⢡⠡⣀⠀⡀⠦⡀⠀⠀⡇ ⠀⠘⣆⠀⠑⠒⠊⠒⠐⠓⣤⣼⣁⠀⠀⠀⠀⢸⡀⠀⢠⣁⣀⣀⣀⠤⠖⠐⠂⠁ ⠀⠀⠈⠳⣄⠀⢀⠀⣀⣴⡧⣀⠙⠒⠠⣤⠐⠊⡍⠈⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⠳⣄⠙⠪⢢⠂⠉⠀⠀⠴⠤⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡤⣤⢟⡀⠀⠘⢄⣀⡀⡌⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠰⠥⠤⠬⠐⠂⠠⠤⠤⠔⠒⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⡄⠀⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⣰⣧⣼⣿⣽⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣇⠀⣿⠿⢿⠻⠿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣾⠿⠢⠄⠁⠀⣬⣿⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡁⠀⠀⢀⠠⠧⠄⠈⣧⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⢄⣀⠀⠀⣀⣀⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡏⠉⠠⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡖⠉⠑⠀⠲⣤⠤⠘⠉⡁⠲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⡀⠀⠀⠀⠰⠀⠀⠀⢹⡀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⢲⢧⣠⣀⣀⠴⢄⣀⣤⣆⠘⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠎⡾⣄⣀⣀⣴⠒⢄⣀⣿⠀⢺⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⢰⣷⣖⠁⠁⢈⡀⠣⣾⢻⣄⡜⣣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠁⢳⢉⡏⠃⠠⡀⠀⡏⠉⣼⠸⠙⡀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⢰⠟⣄⢰⠈⢹⠉⢰⣿⣆⡆⠱⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡤⡔⠊⠉⡱⢆⠀⠀⠀⠀⠀⠀⠀⢸⠀⢀⡞⠀⠈⠳⡶⢼⠤⡿⠁⠘⣷⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣀⠀⠀⠀⠀⠀⠀ ⢀⡔⢺⠁⠀⡇⠀⠀⢷⠈⢣⠀⠀⠀⠀⠀⢀⣼⢦⣼⣁⣀⠤⠤⠷⠤⠼⠥⠤⢤⣻⣟⣻⡀⠀⠀⠀⠀⠀⡴⠋⠀⢸⠈⠹⠒⢄⡀⠀⠀ ⢻⠀⢸⠀⠀⢧⠀⠀⠸⣷⡞⢧⢀⡠⠤⠒⠛⣿⡓⣛⣧⣤⠒⡶⢶⣲⡶⠒⠶⣶⠏⠨⣹⣗⠒⠢⠤⣀⡎⠀⠀⠀⡘⠀⢠⠀⠈⡏⢳⡄ ⢸⠀⠀⡆⠀⠸⡄⠀⠀⢣⣤⠊⢁⡠⠤⠒⠉⠻⢿⡿⠋⠋⠐⡅⠀⣿⠀⠀⠰⠉⠚⣿⠋⠀⠉⠑⠢⡤⣉⣲⠀⢠⠃⠀⡜⠀⢠⠀⠸⢸ ⠀⡆⠀⢹⡀⠀⢳⠀⠀⠈⢏⠋⢳⠀⠀⠀⠀⠀⠸⣇⢄⡖⠀⢸⢸⢿⠰⠀⠀⡟⢰⠇⠀⠀⠀⠀⣸⠀⠀⠀⣰⠏⠀⣰⠃⢀⡎⢀⠇⡸ ⡀⠹⡄⠀⢷⠀⠀⢧⠀⠀⠈⡆⠀⡇⠀⠀⠀⠀⠀⢹⡟⠑⢤⣾⠋⠀⢳⣀⠘⠙⠇⠀⠀⠀⠀⠀⡟⠀⢀⣼⠋⠀⡰⠃⠀⡜⠀⡜⢀⠃ ⢣⡀⢹⣆⡀⢳⣀⠀⠳⣄⡀⠘⢦⡕⠀⠀⠀⠀⠀⢸⡇⠀⠀⢳⠀⠀⣼⠉⠀⢸⡆⠀⠀⠀⠀⠀⠺⣶⡚⠁⣠⠖⠁⣠⠎⢀⡜⣠⠊⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⡀⠀⠀⢹⡀⠀⠀⠀⢀⠴⠋⢉⡉⠱⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⡜⠀⠀⠀⣸⠁⠀⠀⢠⠃⣠⠞⠁⣠⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⡇⠀⠀⣰⠃⠀⠀⢠⡇⢰⠁⠀⠀⣁⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⢣⠀⣠⡇⠀⣀⡠⠼⠦⣦⣠⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡈⢳⣿⠗⠉⠀⠀⠀⠀⠀⠈⠓⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡞⠁⠀⠀⣠⡀⠀⠀⢐⣦⠀⠈⣧⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠘⠋⢀⣤⣤⠀⣀⣀⣼⡀⠀⠈⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠒⠒⠉⢻⡀⢾⢿⡿⠀⠘⠛⠛⠀⠘⠻⣿⠃⣀⠤⠠⡀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡖⠉⣠⠴⠒⠒⠒⠚⠉⠙⢷⣦⣤⣀⣀⣀⠀⣀⣠⢾⡟⢠⠃⠀⠀⠘⠄⢹⠒⠦⢤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⡼⠁⠀⠰⡄⠀⠀⠀⠀⠀⠈⠙⠺⣿⡟⠉⡽⣵⠏⠀⣼⠃⠀⠀⠀⠀⠈⡆⠀⠀⠈⠙⠦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⢰⠃⠀⠀⠀⠹⠀⠤⠤⢄⡀⠀⠀⠀⠈⢧⠐⡀⠀⠀⠀⢻⠙⠒⠤⠤⠴⠀⠃⠀⠀⢀⣀⣀⡙⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠋⠰⡀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠈⡏⣷⠂⠀⠀⣸⣁⠂⠀⠀⠀⢠⡴⢚⣩⠤⣀⣀⡈⠉⠲⡄⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣀⢹⡀⠰⡄⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⡇⣼⠲⡄⣠⡟⠚⠓⢦⣀⡀⡾⡴⠋⠀⠀⡀⠉⠉⠣⣄⠸⡄ ⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⢙⣧⡄⠘⢦⡀⠀⠀⠀⠀⠈⡆⠀⣰⣧⠘⣟⣛⡟⣀⣤⠞⠉⠙⠿⠷⠷⣦⠀⣸⠁⠀⢀⠀⠀⠿⣇ ⠀⠀⠀⠀⠀⢸⠀⡀⠀⠀⠀⠀⢸⠀⡇⠰⡀⠑⢄⠀⠀⠀⢀⠁⠀⡘⠹⣤⣞⣋⣸⣹⠃⠰⠆⠀⢀⣀⠀⠸⢶⡇⠀⠀⡼⠀⠀⡄⢻ ⠀⠀⠀⠀⢀⡿⠞⠃⠀⠀⠀⠀⡌⠁⢇⠀⢳⡀⠀⠙⠛⠋⠁⠀⠸⠁⠀⡇⠀⠀⠀⠉⠉⠓⠆⠀⠀⠉⠀⠀⠀⠙⣧⡞⠁⢀⡜⢀⠞ ⠀⢰⡴⠋⠛⠳⣄⠀⢀⠀⠀⠀⢧⡀⠸⡄⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢤⡏⠓⠒⠚⠛⠁⠀ ⡠⠿⢤⣄⣄⠀⠘⢉⣓⣦⣤⣀⣰⣭⣉⣹⣄⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠐⣋⠀⠀⢀⣔⣢⠴⠛⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠛⡿⠉⠉⠁⠀⠀⠸⡄⠀⠀⠀⠈⠑⢦⡀⠙⢦⡀⠀⠀⠀⢰⠅⠀⠀⠀⣀⡤⠊⠁⢀⡼⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠉⠳⢄⠉⠢⢄⡀⠈⠠⠚⠉⠉⠀⢀⣠⡔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣠⠤⠤⠖⠒⠒⠒⠋⠉⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⣀⡠⠤⠒⠚⠉⡹⠃⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡤⠔⠒⠉⣀⡤⡤⠖⠊⠉⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⡏⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢰⡇⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⣕⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⢷⠀⢠⡌⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⣆⠈⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢢⣄⠀⠈⡇⠈⣆⠀⢱⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣆⠐⢄⠈⠓⢦⡀⠀⠀⠀⠀⠀⠀⢫⣂⠀⠹⡀⠘⣄⡘⢹⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢣⠀⢑⢄⠀⠈⠓⢦⣀⣀⣤⣤⣤⣷⣦⣤⣽⡄⠘⣇⣾⡒⠙⠢⡑⢺⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠳⣌⠢⡉⠢⢄⣴⠋⢰⡆⣤⣎⢩⣾⣭⣿⢟⣿⡻⣤⡃⡀⠀⠘⣎⠹⡍⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠲⣌⠑⣾⠙⣰⣸⣴⠃⢘⣼⣿⣿⡟⢳⡟⡇⢻⣯⠉⢳⠀⢸⡄⠹⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢱⠳⣄⣿⣿⡿⢀⣼⢻⡄⡽⠁⢾⣷⣿⡞⣿⡅⢣⣧⡀⣿⡄⢣⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢀⣾⣽⣿⣢⣿⣃⣀⡴⠁⡶⣿⣿⣿⡗⣿⢸⡌⢸⡀⣾⠘⡌⣇⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⠀⢹⡼⢩⠈⣯⣯⠸⠻⡏⠀⠀⠀⢉⠁⢾⢠⠃⠨⣿⢹⢣⣿⠀⠘⢾⠀ ⠀⢀⣤⣾⠟⠙⣦⡀⠀⠈⠃⠸⡄⠘⣏⣑⣤⣖⠄⠀⣠⠀⢀⣸⣿⠀⠀⣧⡎⣾⡏⠀⠀⠀⠀ ⠀⣏⣠⡾⢿⠀⠳⣍⢳⠀⠀⠀⠱⡄⢛⠷⣕⣦⣤⠔⣋⡠⠞⣿⣇⠀⣠⡾⢤⣝⠀⠀⠀⠀⠀ ⠀⠸⡵⣖⣉⠀⠀⠘⣾⠀⠀⠀⠀⠀⣸⠖⡿⢮⣙⣻⠿⠃⣀⣼⢿⣿⠉⠀⠀⠘⣆⠀⠀⠀⠀ ⠀⠀⢿⣽⠏⠀⠀⠀⣸⠀⠀⠀⠀⡜⢀⡼⣥⠾⠉⠁⠀⠁⣼⣟⡟⠁⠀⠀⠀⠀⢹⡀⠀⠀⠀ ⠀⠀⠀⠈⠑⠶⣞⣹⡇⠀⠀⠀⢸⣇⡮⢾⠏⠀⣠⢆⠔⠁⡿⡏⠀⢰⡀⠀⠀⠀⠘⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣤⣧⣷⠀⣠⠖⠉⠁⠀⠈⢠⠊⠓⠁⠀⡀⣆⣤⠀⢠⣷⠀⠈⠀⠀⢧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡟⠽⢟⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠘⣼⢒⡿⠘⡄⠀⠀⠀⠸⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠘⣦⠄⠀⠀⢰⠀⠠⠀⠀⡀⢄⣰⠈⢤⣿⡾⠁⠀⠱⡄⠀⠀⠀⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠘⠦⣄⡀⠀⠳⣀⣀⠀⠙⠉⢁⣠⠾⣻⠃⠀⠀⢀⡕⠂⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⡿⢈⣽⢿⡋⠉⠉⠉⠉⠉⠉⠁⠴⡇⠀⠀⠀⢸⠀⠀⠀⠀⡾⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⢁⠞⠁⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠑⠤⡀⠀⢸⠀⠀⠀⡸⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠖⠃⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⣸⣀⣀⣰⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⡤⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⣷⣷⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⢻⡦⣄⡀⠀⠀⠀⠀⠀⠀⢠⡔⠛⠀⠀⠀⠿⠻⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢃⣰⠀⢻⡐⠯⢽⣒⣦⠤⣀⣷⣞⣠⡶⠀⠀⠀⣴⠀⢱⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣃⠘⡿⡀⡜⠘⢢⡀⠀⠈⠙⠲⠤⢀⠀⣯⠀⠀⠀⠼⣆⢈⢣⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠈⠙⠲⢧⡃⢾⠀⠙⣦⡆⠀⣴⠀⠀⣀⣿⠸⡄⢯⣣⢸⠼⠻⡅ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠙⠲⣝⠀⡇⣿⠙⢳⠀⢠⣿⡿⠀⣇⠎⠈⠿⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠈⠱⣧⣿⠀⠘⡇⠛⠁⠀⢣⣟⠀⠀⠀⠀⠀⢻ ⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠟⠀⠀⢳⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⠀⠀⠀⡹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘

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