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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠋⠙⠋⠉⠙⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣶⣄⠀⠀⠀⢠⣾⣿⣁⡀⠀⠀⠀⠀⠀⠀⢑⣿⡆⠀⠀⠀⢠⣾⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣾⣦⡀⢠⣾⡿⣛⣛⡻⢷⣄⠀⠀⣴⣾⣿⠛⠻⠦⣄⣴⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠻⢿⣿⣿⣿⣿⣿⢿⣿⣿⣧⢼⣿⣿⣿⠿⣿⣇⢸⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠿⢿⣾⣿⣤⠿⠋⠀⠈⠻⢿⣿⣧⣿⠟⣬⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⠀⢀⣴⣖⣶⠀⠀⠀⠀⠀⢀⡈⠀⠀⢘⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣶⣶⣶⠿⠿⠿⠿⠷⠶⠶⠶⠛⠋⠻⣦⣤⣀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⣿⠻⢷⣤⣀⠀⠀⠀⠈⠀⠀⠀⣀⣈⡻⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⠛⡏⠁⠂⠘⠭⢿⣒⣒⡒⠒⠒⠊⠉⠁⠀⠀⣿⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠁⡄⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡌⠙⠲⣤⣀⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣏⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠋⠀⠀⠀⠀⠈⠙⠚⠓⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣶⣀⡴⠛⢷⣄⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⠴⠾⣿⣿⣿⣿⣿⠟⠛⠿⣿⣦⣄⠙⢻⣿⣷⣦⡤⠤⠶⠒⠛⠁⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⡾⠏⠁⠀⠀⠀⠀⠰⠿⠟⠋⠀⠀⠀⠀⠈⠉⠛⠙⠋⠉⠉⠀⠀⠀⠀⠀⣀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀ ⠀⠀⠀⠀⢄⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣧⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀ ⠀⠀⠀⠀⣼⣋⣧⣶⠀⠀⠀⢀⡀⣀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⣼⣿⣿⣟⣤⡀⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀ ⠀⠀⠀⠀⣿⡟⡇⣿⣤⣤⣴⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠏⣴⣿⣿⠋⠉⠉⠛⠋⡄⠂⠀⠀⠀⠀⠈⣇⠀ ⠀⠀⠀⢀⣿⣷⣜⢿⣿⣿⣿⣿⣿⣿⣟⢿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠾⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠐⠖⣠⣶⣿⣟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀ ⠀⠀⢀⣾⠋⠻⣿⡶⠍⠙⠛⢿⣿⣿⣿⣮⡙⠿⣿⣶⣤⣄⣀⣤⣤⣤⣤⡀⢀⣈⣁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⣾⠇⠀⠀⠘⢷⡇⠀⠀⠀⢿⣿⣿⣿⣿⣶⣼⣿⣿⣟⣻⣿⣿⣿⣿⡿⠟⠛⠁⠀⠉⠻⢿⣿⣶⣤⣴⣶⣶⣤⣶⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇ ⠀⢸⣿⠀⠀⠀⢠⡞⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣋⣠⣀⠀⠀⠀⠀⠀⠀⠀⢉⣛⢻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀ ⠀⢸⡏⠀⠀⠀⣼⠁⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠿⡿⠛⠉⠉⠉⠁⠀⢀⠀⠀⠀⠀⠀⠉⠰⠿⠿⠛⠻⠟⠉⠁⢩⢹⣿⣿⣄⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⣿⢿⠀⠀⣰⠇⠀⠀⠀⠀⠀⣿⡟⢻⣿⣿⣿⣿⣿⡟⠻⢶⣤⠀⠀⠀⠀⠀⠀⠀⢸⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⢿⣿⣿⣦⠀⢹⣆⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⢀⡟⠺⠀⢐⡿⠀⠀⠀⠀⢀⣼⣿⠁⠀⢻⣿⣿⣿⣿⣿⣷⣤⣿⣤⣤⣤⣤⣶⡄⠀⠀⣿⣇⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠈⢿⣷⣿⡾⠁⢿⣿⣷⣿⣿⡷⠀⠀⠀⠀⠀⠀⡇⠀ ⢸⡇⠀⠘⣿⡁⠀⠀⢀⣰⣿⣿⠃⠀⠀⠀⢻⣿⣽⠋⠛⢯⢿⣿⠛⠛⠋⠉⠙⠛⠲⣄⠉⠉⠁⠈⠉⠙⠛⠷⣦⣤⣤⣌⠀⠀⢸⡟⠁⠀⠀⠻⣿⣿⣿⣍⠀⠀⠀⠀⠀⠀⢧⠀ ⢸⠁⠀⠀⢹⣷⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⢸⣿⢢⠀⠂⠀⣭⣿⡀⠀⠀⠀⠀⠀⠀⢸⡉⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⢹⣿⡿⠉⠀⠀⠀⠀⠀⠀⡾⠀ ⠀⠀⠀⠀⠀⠋⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⣼⣏⠈⠁⢰⠀⢨⣿⣧⣀⡀⣠⠀⠀⠀⣸⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⣸⡍⠁⠀⠀⠀⠀⠀⠀⣠⣷⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⡇⠀⠀⠀⠀⠀⢠⣿⠟⠇⠀⠈⠑⢦⣿⠿⠿⠿⠿⠶⢀⢀⣸⠿⣶⣦⣠⡖⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⣸⡗⠀⠀⠀⠀⠀⠀⠙⠷⡄⣀⠀⠀⠻⠟⠃⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⠇⠀⠀⠀⠀⠀⣸⣿⠠⢰⣶⠄⠀⠀⠀⢀⣀⠀⢠⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣙⣿⠁⠀⠀⠀⠀⠀⣸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇

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⢀⡴⠑⡄⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⡇⠀⠿⡀⠀⠀⠀⣀⡴⢿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⢄⣠⠾⠁⣀⣄⡈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡀⠁⠀⠀⠈⠙⠛⠂⠈⣿⣿⣿⣿⣿⠿⡿⢿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⣁⣀⠀⠴⠂⠙⣗⡀⠀⢻⣿⣿⠭⢤⣴⣦⣤⣹⠀⠀⠀⢀⢴⣶⣆ ⠀⠀⢀⣾⣿⣿⣿⣷⣮⣽⣾⣿⣥⣴⣿⣿⡿⢂⠔⢚⡿⢿⣿⣦⣴⣾⠁⠸⣼⡿ ⠀⢀⡞⠁⠙⠻⠿⠟⠉⠀⠛⢹⣿⣿⣿⣿⣿⣌⢤⣼⣿⣾⣿⡟⠉⠀⠀⠀⠀⠀ ⠀⣾⣷⣶⠇⠀⠀⣤⣄⣀⡀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠉⠈⠉⠀⠀⢦⡈⢻⣿⣿⣿⣶⣶⣶⣶⣤⣽⡹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠲⣽⡻⢿⣿⣿⣿⣿⣿⣿⣷⣜⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣶⣮⣭⣽⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠿⠿⠿⠛⠉

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡾⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⡈⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⣸⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⢶ ⠀⠀⠀⠀⠀⠀⠀⣼⡇⢰⡿⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠉⡀⣾ ⠀⠀⠀⠀⠀⠀⣰⡟⢠⣿⠿⠁⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠋⣠⠞⢷⡏ ⠀⠀⠀⠀⠀⣴⡟⢁⣾⣿⡭⠀⣼⠃⠀⠀⠀⠀⠀⠀⣀⡴⠛⠁⣠⣾⠋⠀⣾⠃ ⠀⠀⠀⢀⣾⠟⠀⣼⣿⣿⠃⢰⡟⠀⠀⠀⠀⠀⣠⡾⠋⠀⢀⣾⣿⠃⢀⣾⠏⠀ ⠀⠀⠀⣼⡿⠀⢰⣿⡿⠁⢠⡟⠀⠀⠀⠀⠀⣼⡟⠁⠀⣴⣿⠿⢀⣴⣿⠋⠀⠀ ⠀⠀⠀⣿⠇⠀⣾⡟⠁⣰⡟⠀⠀⠀⠀⠀⣸⡟⠀⠀⣼⣿⠉⣴⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⣿⡀⠀⣿⡇⢰⡿⠀⠀⠀⠀⠀⠀⣿⠃⠀⣸⡿⢁⣾⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣇⠀⢿⡇⢸⡇⠀⠀⠀⠀⠀⠀⣿⠀⢠⡟⢠⣿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣿⡀⠸⡇⣿⢄⡀⣀⣀⣀⣀⣰⣿⡄⣼⢁⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣷⠀⣷⢿⠿⡿⡟⡿⢟⠉⢉⣿⣿⡟⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡀⠸⢸⣷⣴⣤⣤⣾⣶⣈⢙⡿⠃⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠀⠘⠇⡹⠟⠋⠉⠉⠉⠻⡀⠰⣧⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⣠⡶⠟⠛⠛⠛⠀⠀⠀⣀⣭⣝⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢉⠔⣊⣁⠂⠀⠀⢀⡾⢆⠈⢹⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⢀⡾⢱⡤⢹⠀⠀⢸⣟⣲⢡⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⢈⠑⠒⠒⠋⠀⠀⠘⣯⡎⢾⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠙⠛⠉⢀⠀⠠⠤⠼⢷⣄⠹⣄⠀⠀⠀⠀⠀⠀⠀ ⢠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠁⠀⠀⠀⠀⠀⠈⠙⠻⣄⠀⠀⠀⠀⠀⠀ ⣼⡇⠀⠀⠀⠀⢰⠃⡾⢋⠑⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⠀⡏⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⢿⣄⡀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀ ⢹⡇⢠⠀⠀⠀⠁⠀⠀⢸⣇⠀⠀⠀⠀⠀⠈⠒⠉⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⠈⢿⡌⢷⣤⠀⠀⠀⠀⢸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀ ⠀⠘⢷⣦⠙⠷⣄⠀⠀⠸⣏⠙⣮⡢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀ ⠀⠀⠀⠙⠷⠶⣦⣀⣠⠀⢹⡷⢌⡻⣦⣁⠀⠀⠀⠀⠀⠀⠀⢤⣶⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠿⣧⡀⠻⣎⣁⡀⢉⠙⠒⠶⠶⠶⣲⡞⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⢈⠻⢷⣤⣀⣁⣀⣛⡻⢹⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠁⠀⠉⣉⣉⣉⣉⡴⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠷⠦⣤⣤⠴⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠖⠋⠉⠀⠀⠉⠒⠶⣤⡀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣷⣤⡀⠀⠀⢀⣼⣿⣷⣤⣀⠀⠀⠀⠀⠀⣀⣼⣿⡂⠀⠀⠀⣴⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⢿⣿⣆⣀⣼⣟⣯⣩⣹⣿⣷⣀⠀⣰⣿⣟⣋⡩⢿⡦⣴⣾⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⡿⣿⡟⢿⣿⣿⠆⣿⣿⣿⣟⢻⣷⡏⢿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠟⠛⠿⠿⢟⢚⠋⠀⠀⠈⠛⠿⠿⠾⠗⠈⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⡏⢀⠀⢀⣾⣿⣾⣧⡀⠀⠀⣀⣄⣦⡀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⢿⣿⣿⡛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠻⢷⣢⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣄⣾⢏⣿⠿⣧⣤⣀⠀⠐⠀⣀⣀⣠⡤⠄⠙⢺⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⣍⢻⡜⡼⣫⢝⡲⠯⠽⠭⠭⠭⠁⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡹⣮⡓⢮⡕⡯⢮⣱⠂⡄⢀⠀⠀⠀⠀⠀⠀⠀⡰⠀⠈⠒⠠⢄⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣧⡳⣝⡿⣎⡶⡙⣆⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠁⠀⠀⠀⠀⠀⠈⠉⠉⠑⠢⢤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣮⣷⢻⡿⣷⣞⣦⣄⠀⠀⡀⢀⣀⣠⠞⢁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⡀⠀⠀ ⠀⠀⠀⠴⠚⠙⠉⠛⣿⣿⣿⠿⡉⠍⠉⠛⢿⣷⣿⣽⣿⣿⠿⠿⠛⠛⠉⠉⠁⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀ ⠂⡄⠄⠀⠀⠀⠀⠀⠚⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆ ⡑⢄⠠⠀⠀⠀⢀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠌⡂⠠⠀⡐⢠⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠄⢂ ⡘⡤⣑⠢⣜⠢⣉⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣷⣮⡔⡠⢌⡘⠤⡘⢤⠣ ⡳⣖⣭⣳⣾⡳⢄⢣⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⠂⠄⠀⠀⠀⠀⠀⠀⠀⢀⠀⢄⡒⢌⣣⣿⣿⣿⣽⡷⣍⠚⢤⡙⢆⠃ ⣿⣿⣾⣿⣿⣿⣏⣦⢣⢎⡐⠠⠀⠠⠀⠀⠀⠀⠀⠀⢀⠸⣿⣿⣯⡲⣄⢂⢄⡐⢠⠰⣈⠶⣘⢦⣹⣮⣿⣿⠋⠀⠀⠀⠀⠐⠂⠑⠂⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡝⣥⢃⡆⡤⢠⠀⡄⡐⢎⡍⠃⣿⣿⣿⣿⣦⣍⡶⣌⣦⢧⣝⣾⣽⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣽⣶⣧⣿⣴⣽⣶⡶⠀⢿⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠤⠀⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠀⠀⠀⠀⠈⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⡀⢂⠀⠀⠀⠀⠀⠀⠀ ⠀⢬⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢾⠷⠤⢄⠀⣶⡌⠠⠀⠰⠶⢭⡻⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣷⢂⡁⣦⠀⠀⠀⠀⠀⠀ ⠀⢦⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡭⠙⠂⠄⠀⠀⠀⢀⠀⣤⠐⠄⠀⠀⠀⠀⢻⡓⠿⢻⠻⣝⢮⣳⢯⣿⣿⣿⣦⣃⢿⡆⠐⠀⠄⡀⠀ ⠘⣦⣿⡿⠈⢿⣿⣿⣿⣿⣿⣧⡛⢿⣭⡓⣌⣆⣏⠀⠸⠂⢷⡠⠀⠀⠀⣀⢈⡄⡘⠀⠁⠉⣎⠷⣽⡞⣯⣿⢿⣿⣟⣾⣿⣮⣙⠄⠀⠀ ⣱⢾⣿⠃⠀⠈⢿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⡿⢿⣷⣦⡀⢸⠿⠿⠿⠷⢿⣾⣦⣥⡀⣌⠲⣜⡟⢧⣿⡷⠁⠈⢻⣿⣿⣿⣿⠇⡀⠀⠀ ⣿⣿⠇⠀⠀⠀⠈⣿⣿⡜⢤⠉⠙⣿⡧⡀⢄⠀⠀⠀⠌⠙⠀⠄⠀⠀⠀⠀⡀⠛⠿⠟⠛⠙⠢⢙⢻⡟⠀⠀⠀⠀⠹⣿⣿⡿⠀⠀⠀⠀ ⡿⠃⠀⠀⠀⠀⠀⣿⡿⢿⣈⡇⢀⣿⣷⡍⢦⠡⠄⠠⠀⠰⣏⠀⠀⠀⠀⢆⠱⣉⠶⠀⠀⠀⣁⠂⣽⠁⠀⠀⠀⠀⠀⣿⠿⠁⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⢺⡿⣜⡹⡌⢧⣈⣿⣿⣿⣧⡿⠤⡄⡄⠸⣷⣸⣄⢠⠩⣌⡕⣎⠄⠀⠀⠐⠤⢣⡿⠀⠀⠀⠀⠀⢀⡿⢀⠐⠀⠀⠀⠠ ⠀⡀⠀⠀⠀⠀⣿⢣⢇⡳⢜⡀⢘⠷⣯⡍⢩⠙⠋⢠⣿⣷⠉⠛⠻⠎⡟⡴⣫⠜⠀⠀⢀⡑⣎⣷⡇⠀⠀⠀⠀⢀⣼⠁⢂⠐⢀⠈⠄⡙ ⡐⠄⡀⠀⠀⠀⣿⣯⢜⣱⢎⠴⣩⢞⡵⣿⡒⣆⡀⠀⠉⠙⡀⢀⢀⠰⣍⢳⡝⠎⠀⠀⠠⣶⢿⣿⠀⠀⠀⠀⠀⠀⣿⡆⠂⠌⠀⠈⠀⠀ ⡘⠤⠐⠀⠀⠸⣿⣿⣾⢿⡛⢯⡱⢿⣾⡽⣗⢦⡹⣐⠠⡑⡘⢌⡎⡱⢎⠥⠒⡀⠀⣤⣹⣷⣿⡇⠀⠀⠀⠀⠀⠀⣿⡇⡈⠔⠠⢂⠁⣚ ⣡⢃⠌⡀⢠⣰⣿⣿⣿⣎⡷⢢⠝⣯⢿⣽⣿⢮⡵⢪⡱⣥⡙⢦⡚⢵⢫⡼⢁⠠⣱⣾⣿⣿⡟⠀⠀⠀⠀⠀⠀⠸⣷⣿⠹⣮⣑⠠⢎⡴ ⢦⡉⢆⠐⢣⣿⣯⢿⣿⣿⡹⣏⢜⡳⣿⢾⣿⣧⣟⣧⢳⡖⣽⢣⣞⠯⡖⢥⢂⢧⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⡘⠍⡳⣦⣟ ⡇⠞⣬⣊⣿⣿⡿⢸⣿⣿⣧⡍⣎⣿⢻⣯⣿⢮⢷⣞⡷⣹⣞⣧⡟⣽⡙⣮⣹⣿⣿⠟⣹⡿⣿⣷⡄⠀⠀⠀⠀⠀⢸⣿⡇⢌⠹⣔⠳⣾ ⣭⣋⢿⣿⣿⣿⣷⣁⠺⣿⣿⣯⢽⣾⣿⣿⣽⣫⢷⣏⣿⢳⣻⣼⣹⢶⡹⣶⣿⣿⢏⣺⣵⣿⣿⣿⣻⠀⠀⠀⠀⠀⢠⣟⣧⠀⡳⣌⡿⣿ ⡖⡭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣯⣟⣿⣾⣽⣯⡷⣏⣷⣯⣿⣷⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢸⡿⠸⡗⣵⢯⣿⣿ ⡽⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⣸⢇⢣⡹⣞⣿⣿⡏ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠂⠤⣴⣿⢼⠶⠽⣿⣿⡿⠀

:¨ ·.· ¨: `· . 𝘭𝘪𝘧𝘦 𝘪𝘴 𝘶𝘯𝘧𝘢𝘪𝘳, 𝘬𝘪𝘭𝘭 𝘺𝘰𝘶𝘳𝘴𝘦𝘭𝘧 𝘰𝘳 𝘨𝘦𝘵 𝘰𝘷𝘦𝘳 𝘪𝘵.⋆｡𖦹°‧

✞☠︎𝘼𝙔𝙊 𝘽𝙍𝙊 𝙔𝙊𝙐 𝙎𝙐𝙋𝙀𝙍 𝙎𝙐𝙎𝙎𝙔 𝙃𝙀𝙍𝙀: 𝙏𝘼𝙆𝙀 𝙎𝙊𝙈𝙀 𝙃𝙊𝙇𝙔 𝙒𝘼𝙏𝙀𝙍☠︎✞

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠋⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⡼⠇⠀⠀⠀⠘⡆⠀⠀⠐⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠓⠢⢼⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠈⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⢀⡼⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⢠⠞⠀⢹⡄⠀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⢸⡁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⡿⣯⡷⡴⢦⣤⡠⣶⡶⠀⢷⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⡾⠀ ⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⣼⣥⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⠀⠈⢧⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⡇⠀ ⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⠛⢦⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⠳⠀⢳⡀⢹⡇⠀⠀⠀⠀⠀⡾⡇⠀ ⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠘⠀⠀⠹⣼⡇⠀⠀⠀⠀⢠⠇⠀⠀ ⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⠁⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⡾⠀⠀⠀ ⠀⠀⢠⡏⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠁⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⢸⠁⠀⠀⠀ ⠀⠀⡾⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⡟⠀⠀⠀⠀ ⠀⣴⠓⣾⣳⣀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠃⠀⠀⠀⠀⠀⠀⢸⡇⢀⠇⠀⠀⠀⠀ ⣾⠃⠀⠀⠀⠑⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠈⡇⢸⠀⠀⠀⠀⠀ ⠹⡀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀ ⠀⢳⡄⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣿⠀⠀⠀⠀⠀ ⠀⠀⣷⡄⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⡏⠀⠀⠀⠀⠀ ⠀⢀⡇⢹⣄⠀⠀⠀⠀⣀⠉⠓⠶⢄⡀⠀⠀⠀⠀⠀⢀⣠⠴⠋⠣⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⣸⣧⠀⠀⠀⠀⠀ ⠀⣴⣿⠋⠘⣆⠀⢰⠶⠤⢍⣛⣶⠤⠿⣷⣦⡀⠒⠚⡟⠀⠀⠀⠀⠈⠛⠢⠤⡄⠀⠀⢀⡴⢯⠴⣳⠇⠀⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠘⢦⡈⠻⣖⠤⣤⣉⣉⣹⣯⣭⠉⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠛⣫⣼⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⣄⠉⢦⡀⠀⠀⠈⠉⠁⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢿⣷⢚⡝⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢶⣷⠇⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠷⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠖⠖⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⢿⣦⣀⣾⣓⣦⡀⣠⣞⡧⣤⡾⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠻⢿⡝⠉⠻⠯⠟⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡗⣶⡛⠓⠒⠒⠙⢦⡝⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠇⠘⠃⠒⠀⠈⠁⠹⢄⡀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣧⣘⢦⣀⡀⠀⠀⠀⠀⠁⠀⠀⠉⠑⠂⢄⠀⠀⠀ ⠀⠀⠀⢀⡤⠒⠘⠉⠿⠋⠉⠉⠓⠚⠛⠉⢉⠡⠂⠀⠀⠀⠀⠀⠀⠀⠑⡀⠀ ⠀⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢰⠀ ⠀⢀⣿⣆⠀⣀⡴⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⡠⣾⠷⠦⠀⠀⠀⢂ ⠀⢨⢷⡟⠿⢿⣿⡳⣦⣀⣀⣀⡀⢠⣺⣿⣤⣤⣤⣤⣴⣿⡟⠀⠀⠀⠀⠀⠈ ⢀⡇⠀⡝⠀⢸⣿⣿⣾⣿⣽⣿⣛⡉⠀⠉⠛⡶⣷⣾⣿⣿⣿⠀⠀⠀⠀⠀⢀ ⢸⡄⠰⠁⠀⢸⠿⣿⣿⣟⢭⠁⠀⠀⢠⡀⠀⠀⠉⠉⢀⣸⣿⣦⢱⡀⠀⠀⢸ ⡌⠐⣇⣀⣴⡟⠀⢹⡟⠛⢿⠛⠛⠓⢤⠋⠙⠓⠢⠤⠆⡹⠁⠘⣿⡏⠀⠀⢸ ⠀⠀⠹⣿⡏⠀⠀⢸⡍⠠⣹⣦⣤⡀⢸⣀⢀⠀⠀⠀⢀⡇⠀⠀⡏⠀⠀⠀⢸ ⠀⠀⠀⠰⡇⠀⠀⣇⢀⡀⠈⠓⠀⠈⡁⠀⠁⠀⠀⢀⣼⠀⠀⢀⡅⠀⠀⠀⢀

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:¨ ·.· ¨: `· . ୨୧⭒๋࣭ ⭑ 𝑩𝒆𝒄𝒂𝒖𝒔𝒆 𝒍𝒐𝒗𝒆 𝒄𝒂𝒏 𝒃𝒖𝒓𝒏 𝒍𝒊𝒌𝒆 𝒂 𝒄𝒊𝒈𝒂𝒓𝒆𝒕𝒕𝒆 𝑨𝒏𝒅 𝒍𝒆𝒂𝒗𝒆 𝒚𝒐𝒖 𝒂𝒍𝒐𝒏𝒆 𝒘𝒊𝒕𝒉 𝒏𝒐𝒕𝒉𝒊𝒏𝒈. ⊹ ‧₊˚

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⠀⠀⠀⠀⠀⣀⡤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡔⠋⠀⠀⠀⢠⡑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡜⠀⠀⠀⠀⠀⢸⡇⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⣨⡇⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠴⠒⠋⠉⠁⠈⠉⠓⠒⠤⢄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡀⠀⠀⠀⠀⣼⣿⡟⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢ ⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⠿⢿⣿⣭⡉⠭⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⢀⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀ ⠀⠙⠦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠙⠓⢶⡀⠀⠀⠀⠘⢦⡀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣀⣠⢄⢍⠒⠤⠀⠀⠀ ⠀⠀⠀⠈⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢦⠄⠀⠀⠙⠢⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣼⣿⠾⠿⢿⣿⣿⣶⡀⠀⠐ ⠀⡀⠀⠀⠀⠙⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡾⠛⠋⠉⠁⠀⠀⠈⠙⢿⣿⣿⣷⣜ ⡀⠀⠀⠀⠀⠀⢨⠣⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣯ ⣝⡄⠀⠒⠀⠀⠀⠀⠙ ⢄⠀⠀⢀⢴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣀⡀⠀⠈⢻ ⣿⣷⡄⠀⠀⠀⠀⠀⠀ ⠀⠱⡴⠉⡼⢸⠀⠘⠆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⡿⠿⠀⣿⢷⣄⠀⠀ ⠈⠋⠀⠀⠀⠀⠀⣠⣦ ⡴⣤⣜⣄⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡏⢼⣿⣿⣿⣞⣿⠈⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⡟⠛ ⠻⣿⣿⣿⠷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⣑⣾⣿⣿⣯⡾⠏⣠⡟⠀⠀ ⠀⠀⠀⠀⢀⣴⢋⣁⡤ ⣭⣵⣌⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⢿⣿⣷⡶⠾⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⢷⣿⣿⣳ ⡟⢈⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠻⠯ ⣷⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡞⢀⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠱⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⠁⣘⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢡⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣶⣶⣾⣿⣿⣿⡿⡿⠋⢀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠋⡾⠁⠀⡞⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⢿ ⣷⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⢠⠎⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⣠⣿⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠛⠷⣦⣤⣤⣤⣤ ⢴⠏⠀⢸⠀⠀⠀⠀⠀⠀⢀⣀⣠⠤⠤ ⣿⣿⢿⣿⣿⠀⣾⣟⠀⢐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠤⠔⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⠀⢠⣮⠖⠒⠚⠉⠉⠉⠁⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡋⣼⣯⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⡘⡆⠀⠁⠀⠀⠀⠀⠀⠀⠐⠀ ⣾⣿⣿⣿⡏⠀⢀⣻⡆⠀⢹⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣿⣿⣇⣧⠀⢀⠀⠈⠀⠀⠐⠂⠀⠀ ⣻⣿⣿⣿⣿⠀⡈⠸⣷⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⢶⣤⣤⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠ ⠋⢿⣿⣿⢸⠞⠽⠦⠠⢆⠀⢒⠀⠀⠀ ⣿⣿⣿⣿⣿⡇⠐⠐⢿⣧⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠿⠷⠶⣴⣄⣀ ⣀⣀⣠⡤⠤⠤⠶⠞⠁ ⣠⣼⣿⣿⣿⣁⢁⣀⡌⠀⣐⡐⠀⣀⠀ ⣿⣿⣿⣿⣿⣷⢀⠀⠈⣼⣧⡀⠸⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴ ⣿⣿⣿⣿⣿⣾⡙⣇⣆⣴⣤⣒⣆⠤⡠ ⣿⣿⣿⣿⣿⣿⡐⠀⢄⠐⢿⣿⡀⠈⢻⡈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⢿ ⣿⣿⣿⣿⣿⣯⣿⣷⣆⣛⣟⣿⣠⠈⢈ ⣿⣿⣿⣿⣿⣿⣷⠈⢆⠆⠠⢿⢱⣦⠀⠻⣄⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣏⣸ ⣿⣿⣿⣿⣿⣿⣷⣽⣿⣿⣿⣿⣓⡶⢶ ⣿⣿⣿⡿⣿⣿⣿⣧⠈⢄⠀⠀⠀⡹⣿⣀⠈⠳⣼⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⢎⣁⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⡘ ⣿⡏⠘⣆⣿⣿⣿⣿⡎⠀⠀⡀⢀⠀⠀⠛⣦⠀⠈⠛⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠋⡌⣸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣌ ⣿⠀⠘⣿⣿⣞⣿⣿⣿⡄⠀⠁⠀⠀⡐⡐⡹⡄⠀⠀⠀⠙⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠏⠘⣴⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯ ⣿⣿⣷⣿⣿⣿⣿⣿⢿⣿⣦⡀⠀⠀⠇⠀⠢⠛⢶⠷⣆⡀⠀⠈⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⢔⡍⢐⣶⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻ ⣿⣿⣿⣿⣹⣿⣿⣷⣾⣿⢿⣷⡄⠈⠠⠀⠀⠀⠀⠀⠀⠉⠳⠿⠶⠶⡿⣷⣤⣀⣀⣀⣀⡀⢀⣀⣀⠀⠤⠔⠒ ⠉⠁⡠⠳⣥⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣭⣿⣿⣿⣿⣿⡟⣿⣿⣿⣾⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠉⠀⠀⠀⠀⠀⠀ ⠤⠸⢀⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⢿⣿⣷⣿⣿⣿⣿⣽⡟⣿⣷⣬⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⢠⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ 🗿🧌💚

⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⠿⣟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⡏⠀⠀⠀⢣⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣟⠧⠤⠤⠔⠋⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⡀⢀⣶⠤⠒⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠈⢿⣆⣠⣤⣤⣤⣤⣴⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⢿⢿⠀⠀⠀⢀⣀⣀⠘⣿⠋⠁⠀⠙⢇⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⢇⡞⠘⣧⠀⢖⡭⠞⢛⡄⠘⣆⠀⠀⠀⠈⢧⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀ ⠀⠀⣠⣿⣛⣥⠤⠤⢿⡄⠀⠀⠈⠉⠀⠀⠹⡄⠀⠀⠀⠈⢧⠀⠀⠀⠈⠻⣦⠀⠀⠀ ⠀⣼⡟⡱⠛⠙⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠹⣧⡀⠀ ⢸⡏⢠⠃⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠸⣷⡀ ⠸⣧⠘⡇⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⣿⠇ ⠀⣿⡄⢳⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀ ⠀⢹⡇⠘⣇⠀⠀⠀⠀⠀⠀⠰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣼⡟⠀⠀ ⠀⢸⡇⠀⢹⡆⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢳⣼⠟⠀⠀⠀ ⠀⠸⣧⣀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢃⠀⢀⣴⡿⠁⠀⠀⠀⠀ ⠀⠀⠈⠙⢷⣄⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⣠⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣷⣦⣄⣀⣀⣠⣤⠾⠷⣦⣤⣤⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

:¨ ·.· ¨: `· . ୨୧⭒๋࣭ ❝𝐈 𝐝𝐨𝐧'𝐭 𝐜𝐚𝐫𝐞 𝐡𝐨𝐰 𝐥𝐨𝐧𝐠 𝐢𝐭 𝐭𝐚𝐤𝐞𝐬 𝐀𝐬 𝐥𝐨𝐧𝐠 𝐚𝐬 𝐈'𝐦 𝐰𝐢𝐭𝐡 𝐲𝐨𝐮, 𝐈'𝐯𝐞 𝐠𝐨𝐭 𝐚 𝐬𝐦𝐢𝐥𝐞 𝐨𝐧 𝐦𝐲 𝐟𝐚𝐜𝐞❞

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠶⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⠏⠀⢸⣿⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠁⠀⠀⢸⣿⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣇⢀⠀⠀⢸⠟⠃⠀⢧⡀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⣠⣤⣶⣿⣟⢳⣶⣶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠿⣶⣴⣤⣀⡀⠀⠀⠱⣄⠀⠀⠀⠀⢠⡿⢋⡇⢀⣾⡿⠿⠛⠋⠉⠉⠉⠛⠻⠿⢿⡿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠙⠻⢦⣄⠀⠈⠳⢦⣀⣰⠟⢁⣨⡵⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⠶⣦⣤⣀⣨⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠐⠲ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢳⣄⠀⠀⢤⣥⡼⠛⠛⠇⠀⠀⠀⠀⠀⣀⣀⣉⣛⡳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠷⠿⢿⣇⣽⣦⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠹⣦⣀⢚⠁⠂⠲⢦⣤⣀⣀⣤⣶⠿⢻⣭⣭⡛⠻⣦⡽⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠉⠙⢿⣧⠀⠀⠀⠀⠀⣠⡼⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡏⠈⠀⠀⠀⠀⠀⠉⠛⠿⣽⣶⣿⠿⣿⣿⣀⣈⣷⡸⣆⡤⠤⠂⠀⠀⠠⠀⡀⠀⣺⣭⣥⡴⣦⣤⣅⠀⠀⠀⢸⡀⠀⣠⡴⠚⠉⠀⠀⠲⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠋⠊⠉⠁⠈⢁⡀⠀⠀⠀⠀⠀⠀⠳⣼⣏⣿⣿⣿⣦⠈⠙⢷⡀⠀⠀⠉⠉⠀⠀⢀⣀⣤⠴⠶⠿⠿⠦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⢿⣛⠒⠒⢛⠃⠀⠀⠀⢀⡤⠞⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⢁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⣴⣏⠀⠀⣀⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⢰⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⢸⠀⠀⠀⠀⠀⠀⣰⣾⡿⠿⠿⠛⠓⠀⠀⢿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⢡⠘⠀⠀⠀⠀⠀⢚⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠙⠻⢿⣿⣯⡛⠻⢶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣁⠀⠀⠀⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣸⡁⠀⠀⠀⠀⠀⣾⠁⢙⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠓⠒⠒⠛⠉⠉⠉⠉⠉⠁⠈⠙⠶⣾⣷⣆⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣧⣿⠃⠀⠀⠀⠀⢸⡇⠀⠈⠁⠈⠙⠳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⡿⠸⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⠦⢤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠈⢿⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣴⡾⢻⣿⠁⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠒⠒⠲⠶⠶⠶⠶⠦⢤⣤⠤⠴⠒⠋⠉⠀⠀⠈⠃⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣾⠿⣋⣭⣴⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣫⠾⣋⣽⣿⣷⣿⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠋⣼⣿⢿⣶⣿⡇⠀⠀⠀⢀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡮⡛⣦⣄⠀⠀⠀⠀ ⣤⣿⣿⣾⣿⣿⡆⠀⠀⠀⠙⠄⠈⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢻⣷⢹⡎⣿⣷⣤⣀⣀ ⣿⣿⡿⣿⣿⠤⣫⡀⠀⠀⠀⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢹⣬⣿⡞⢻⡿⣿⣧⡻⢿ ⣿⣿⣾⣿⡯⣠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⢸⣿⣿⠦⡄⢹⣾⣿⣷⠙ ⣿⣿⣿⣿⡿⠋⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢀⡼⠃⠀⢸⣿⡇⢠⣄⣘⣿⣷⡿⣷ ⣿⣿⣿⣿⡷⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣋⣴⠟⠁⠀⣠⡿⣿⣇⣀⠉⣿⣿⡋⠱⣏ ⣿⣿⣿⣿⣧⠸⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⣾⣾⠟⠁⠀⠀⣼⡏⣷⣿⣛⢻⣶⣿⠿⠿⣆⣟ ⣿⣿⣿⣿⣿⡂⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣽⡾⠟⠁⠀⠀⠀⣴⡟⢷⣿⣏⠛⢿⣿⣦⣄⡀⠛⠛ ⣿⣿⣿⣿⣿⣧⠠⠈⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⠶⣶⣿⡿⠛⠉⠀⠀⠀⠀⢀⣾⣿⢻⣿⠿⣿⡷⣾⣿⣍⣿⡇⢀⣴ ⣿⣿⣿⣿⣿⣿⡆⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠓⠀⠠⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠟⠉⠀⠀⠀⠀⠀⠀⣀⣼⣿⠟⠁⣾⣿⣧⣼⣏⢿⣯⡀⣽⠃⣾⠁ ⣿⣿⣿⣿⣿⣿⣿⡄⠀⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠁⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣼⡿⠋⢀⣾⣇⠈⣿⣏⣻⡟⠉⣿⢋⣿⠛⣷

:¨ ·.· ¨: `· . ୨୧⭒๋࣭ ⭑ 𝛢𝑛𝑑 𝑤ℎ𝘰'𝑠 𝑔𝘰𝑛𝑛𝑎 𝑘𝑖𝑠𝑠 𝘵ℎ𝑒 𝑏𝑟𝘰𝑤𝑛 ℎ𝑎𝑖𝑟𝑒𝑑 𝑔𝑖𝑟𝑙𝑠, 𝑊ℎ𝘰'𝑠 𝑔𝘰𝑛𝑛𝑎 𝑤𝑖𝑝𝑒 𝑎𝑤𝑎𝑦 𝘵ℎ𝑒𝑖𝑟 𝘵𝑒𝑎𝑟𝑠? ⊹ ‧₊˚

(๑>؂•̀๑)

“s-stop aruguing!” shut the fuck up im trying to find symbols dumbass ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠒⠋⠉⠭⠓⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⡋⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠛⠋⠁⠀⠀⠀⠁⠹⠝⠛⠢⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢨⠛⢦⣄⠀⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠲⣌⠙⢦⣰⠿⠋⢀⣀⡠⠴⠶⠒⠚⣫⣽⣯⣉⡛⠒⠲⠶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣶⢻⣶⠚⠋⠁⠀⢀⣠⢤⣾⡿⠟⠛⠻⢿⣤⣀⣀⠀⠀⠉⠓⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣾⣧⠀⠚⠉⠉⠁⡿⠋⠀⠀⠀⠀⠈⠀⠀⠉⠛⠲⣤⢀⠀⢀⣽⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠲⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠽⡇⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠿⠻⢿⣿⣗⣆⠀⠀⠀⠀⠀⠀ ⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⢀⣠⣤⣂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠈⠳⡄⠀⠀⠀⠀ ⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢄⡀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢠⣿⠟⠉⠀⠈⠓⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠀⠀⠙⣆⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢦⡀⠙⢦⡀⠀⠀⠀⠀⣼⠁⠀⠀⡾⠁⠀⣠⣀⡀⠀⠈⣧⠀⠀⠀⠀⣠⡴⠖⠦⣤⡀⠀⠀⠀⠀⠀⠘⣧⠀⠀ ⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠙⢦⡀⢀⡴⠃⠀⠀⢰⠃⢠⡞⠙⣿⣿⡆⠀⠸⡆⠀⠀⣼⠃⣅⣀⣀⠀⠉⢳⡄⠀⠀⠀⠀⠸⣆⠀ ⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠶⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⢻⡉⠐⠓⠒⠤⢼⣀⢸⣿⣶⣿⣿⣿⠀⢀⡇⠀⠀⡇⣾⠛⢻⣿⣧⠀⠀⢹⡀⠀⠀⠀⠀⠹⡀ ⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⠘⡇⠀⠀⠀⠀⠀⠈⠛⢿⣿⣬⣿⠃⠀⣼⠁⠀⠀⣷⣿⣷⣿⣿⣿⠀⠀⠀⣷⠀⠀⠀⠀⠀⡇ ⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣇⣠⠤⣤⣀⡀⠀⠀⠀⠻⡉⠁⢀⡴⠁⠀⠀⠀⠘⣿⣿⣇⣿⡟⠀⠀⢂⡟⠀⠀⠀⠀⠀⠁ ⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⡈⠻⣦⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⢻⡙⠂⠀⠀⠀⢹⠔⠋⠀⠀⠀⠀⠀⠀⠙⢎⡉⠁⢀⣠⠤⠾⠦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢦⡶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠈⢧⣀⣀⣠⡤⠞⠁⠀⠀⠀⠀⠀⠀⢻⣄⠄⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⢸⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⣀⣤⣤⣀⠀⠀⠀⠀⠀⡀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣳⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠽⣿⣆⠈⠙⠲⠦⣄⣀⣀⣀⠀⠀⠀⠀⢀⣀⣈⡵⠞⠁⠈⠁⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠲⠤⠤⠤⠴⠖⠺⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢿⣿⣷⣄⠀⠀⠀⠀⠀⠉⠉⠉⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⡟⠻⢿⣷⣶⣤⣄⣀⣀⣤⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠻⠿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡽⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⣘⣦⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠦⠖⠒⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠷⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣴ ⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠖⠛⠉⣉⡙⠛⠒⠢⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣄⠀⠀⣠⣿⣿⡿ ⠀⠀⣠⣾⣿⣧⠀⠀⠀⠀⠀⠀⢀⣴⡿⠥⠤⠶⠚⠛⢿⣍⡉⠀⠀⠀⠈⠑⢄⠀⠀⠀⠀⠀⠀⠀⢀⡀⠈⡿⢄⣴⡏⢉⡿⠁ ⠀⠀⠻⢿⣿⣿⣇⠀⠀⠀⠀⣰⣿⣿⣷⣶⣦⣤⣤⣤⣤⣯⣽⣶⣦⣤⣤⣴⣶⣷⡄⠀⠀⠀⠀⢠⣿⣿⣶⣧⢀⠏⢡⠞⠀⠀ ⠀⠀⠀⠀⠈⠙⠻⣷⣄⣀⣴⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣇⣽⣿⣯⣿⣿⣿⣿⣭⡝⣆⠀⠀⣠⣾⣿⠿⠛⢻⣾⡔⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⣻⣿⣿⣿⣿⣻⣿⣿⣿⣿⣧⡴⠿⠿⢿⣿⣿⣿⣿⣿⢿⣿⣾⠳⣶⡟⠉⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⠋⠀⠈⠙⠛⠛⢻⡟⢉⣩⠿⠶⠶⡦⠀⠉⠙⠻⣿⠿⠯⠀⠈⠀⢻⠀⠀⠀⠀⠀⠀⠸⣿⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⢀⣴⣿⣷⣾⣅⣀⠀⠀⢻⣯⡀⢀⣀⣹⣦⣄⠀⠀⠀⠘⠇⠀⠀⠀⠀⠀⠀⠹⣟⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⢀⣤⣶⠿⠋⠉⠙⠛⠿⣿⣿⣿⣿⣿⡿⠟⠛⠻⣿⣿⣿⣦⣄⠀⠸⡀⠀⢀⡠⠶⠒⢉⣹⠿⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⡿⢋⣀⠀⠀⠀⠀⠀⢀⡀⠒⠋⠈⠻⡇⠀⠀⠀⠈⠙⣿⣿⣿⣷⡄⢹⢋⣁⡤⠔⠚⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⡇⠀⠀⠀⠘⢿⣿⣿⣿⣿⡷⢾⣷⣤⣤⣤⣤⣵⣶⣶⣶⣶⣶⣿⡇⢹⠟⠀⢘⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣞⣯⠞⢻⡇⠀⠀⠀⠀⠈⠛⢿⣿⣿⣦⣾⣅⣰⣿⣈⣁⣽⣥⣼⣽⣿⡿⠃⠀⠘⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡏⡽⠁⠀⠈⢿⣤⠀⠀⠀⠀⠀⠀⠩⣽⣿⡽⠯⠭⠭⠿⠟⠿⡿⠟⠋⠁⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⢁⠇⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠛⠛⠿⣇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡾⢸⠀⠀⠀⠀⠀⠀⢻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣓⡄⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣧⡇⠀⠀⠀⠀⠀⠀⠀⣿⡟⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣘⠉⠉⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⡇⣷⠀⠀⠀⠀⠀⠀⠀⡟⠀⡞⠈⠓⠶⣤⣀⡀⠀⠀⠀⠀⠀⠈⢻⣧⣀⣠⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢀⣿⡧⠀⠀⠀⠀⠀⢸⠁⡼⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠛⠛⢿⠿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣼⢹⣧⠀⠀⠀⠀⠀⣿⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠹⣿⡈⠛⠂⠀⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢿⠄⠀⠀⠀⠀⠀⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⣹⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⣀⣀⣀⣠⣿⠿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢼⣿⣽⣇⣸⡏⣁⢀⣤⡿⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠃⠐⠓⠤⣄⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠙⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠲⠦⠤⢤⣄⣉⣀⣿⣻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡶⠿⠛⠛⠋⠛⠙⠛⠛⠻⠿⢶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣾⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⠆⠀⠀⢀⣀⣀⣀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⠀⣰⣾⣿⣿⠿⠿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⣠⣤⣶⣶⣶⣷⣶⣶⣄⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣼⠏⣼⡟⠀⠀⠀⠈⣿⣿⣿⣿⣷⡀⠀⠀⣴⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣿⠀⣿⣿⣀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣀⣼⣿⠁⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠈⢿⣿⡁⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣿⣿⣶⣤⣶⣿⣿⣿⡿⡿⠛⣿⣿⢇⣿⣇⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠄⣉⠰⣌⣿⣷⡘⢻⣿⣿⣿⣿⣿⡿⢛⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣁⣴⣿⡿⢨⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣨⣴⣤⣽⣿⡛⡿⣷⣥⠙⠻⢿⣿⣿⣿⣶⣤⣿⣿⠇⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣰⣿⣿⣟⡠⠄⢀⠀⣀⣀⣀⠀⠀⠀⠀ ⣾⣟⠩⠩⢉⠟⡣⢜⠩⠿⣿⣿⢶⣿⣿⣯⣿⡿⠟⠋⠀⠀⠈⠙⠿⢯⣿⣿⣭⣭⣷⣾⣿⣿⠿⢏⠻⠿⢿⣶⡿⠟⠛⢻⣷⡀⠀⠀ ⠘⠿⣶⣬⣀⠘⡰⢈⡑⢂⠂⠛⠷⢶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣂⣠⣽⣷⣿⠟⡛⡍⡜⡌⠱⡈⠄⠀⠀⠀⠀⢸⡷⠀⠀⠀ ⠀⠀⣨⣿⠏⠀⠀⠂⠀⠀⠂⠁⢁⣀⣌⠙⢧⣄⣀⣀⣠⡴⠾⠿⠿⠟⠟⠛⠉⡉⢶⣼⣥⣢⠑⡈⠅⡀⠁⠀⠀⠀⠀⠈⠙⢷⣤⡀ ⠀⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⡍⠻⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿ ⠀⠘⢿⣤⣤⣶⠿⢻⣦⠀⠈⣿⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⢨⣿⠃⠀⠀⠀⠀⠀⢰⣾⠾⠿⠟⠋ ⠀⠀⠀⠉⠁⠀⠀⠈⠛⠷⡶⠟⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⢻⡇⠀⢀⣰⣧⣀⠀⠀⣿⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠋⠀⠀⢀⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⡀⠀⡀⠀⠀⠘⢷⣙⠿⠾⠛⠁⠈⠻⠷⡶⠿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⣸⣿⠂⠈⠉⠉⠉⠙⠛⠛⠛⣿⡟⠃⠀⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣄⠀⢀⣀⣶⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣦⡀⠀⠀⢈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⠷⠿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠛⠉⠙⠛⠛⠛⠛⠻⢿⣿⣷⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠈⢻⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⡏⠀⠀⠀⣠⣶⣾⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⢰⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⡄⠀ ⠀⠀⣀⣤⣴⣶⣶⣿⡟⠀⠀⠀⢸⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀ ⠀⢰⣿⡟⠋⠉⣹⣿⡇⠀⠀⠀⠘⣿⣿⣿⣿⣷⣦⣤⣤⣤⣶⣶⣶⣶⣿⣿⣿⠀ ⠀⢸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀ ⠀⣸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⡿⠿⠿⠛⢻⣿⡇⠀⠀ ⠀⣿⣿⠁⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⢿⣿⡆⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀ ⠀⠸⣿⣧⡀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀ ⠀⠀⠛⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣰⣿⣿⣷⣶⣶⣶⣶⠶⠀⢠⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⣽⣿⡏⠁⠀⠀⢸⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⢹⣿⡆⠀⠀⠀⣸⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⣄⣀⣠⣴⣿⣿⠁⠀⠈⠻⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⠀⢀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣠⣤⣤⣤⣤⣀⠲⢦⣄⡀⠀⠀ ⡶⢟⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠰⣷⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⡛⢷⣔ ⣾⡿⠟⠋⠉⠁⠀⡀⠀⠀⠀⠀⠈⠉⠉⠙⠛⢻⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⢛⣛⣛⣛⣛⣉⢉⣉⡀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣷⣝ ⠃⠀⠀⠀⠀⠀⠀⣛⣛⣛⣛⣛⣛⢛⡛⠛⠛⠛⣰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣌⠛⠛⢛⣛⣛⣛⣛⣛⣛⣛⣓⣀⠀⠀⠀⠀⠀⠈⢻ ⠀⠀⠀⢀⣤⡾⠛⢻⣿⣿⣿⡿⣿⡟⢻⣿⠳⠆⠘⣿⣦⠀⠀⠀⠀⠀⠀⠀⣰⣿⠁⠐⠛⣿⡟⢻⣿⣿⣿⣿⢿⣟⠛⠻⣦⣀⠀⠀⠀⠀ ⠀⠀⢴⠿⣧⣄⣀⣘⣿⣿⣿⣿⣿⡿⣀⡙⢷⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠈⢻⡖⠀⣾⣋⣀⣺⣿⣿⣿⣿⣿⣏⣀⣤⣴⠿⢷⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠙⠉⠉⠉⠉⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠆⠀⠀⢀⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠟⠁⠀⠀⠀⣾⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣤⣤⣴⣶⣾⠿⠛⠋⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⡿⠗⠀⠠⠄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠁⠀⠀⠀⠀⠀⠈⠑⢶⣶⡄ ⢀⣶⣦⣸⠀⢼⣟⡇⠀⠀⢀⣀⠀⠘⡿⠃ ⠀⢿⣿⣿⣄⠒⠀⠠⢶⡂⢫⣿⢇⢀⠃⠀ ⠀⠈⠻⣿⣿⣿⣶⣤⣀⣀⣀⣂⡠⠊⠀⠀ ⠀⠀⠀⠃⠀⠀⠉⠙⠛⠿⣿⣿⣧⠀⠀⠀ ⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇⠀⠀ ⠀⠀⠀⣷⣄⡀⠀⠀⠀⢀⣴⡟⠿⠃⠀⠀ ⠀⠀⠀⢻⣿⣿⠉⠉⢹⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠁⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠈⠉⠉⠈⠈⠈⠉⠉⠉⠉⠉⠉⠉⠉⠙⠻⣄⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⣄⠀⠀⢀⠀⢀⣀⣤⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣉⣩⣤⠴⠶⠶⠒⠛⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠤⠶⠒⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⡍⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣫⣭⣷⠶⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠶⠶⠖⠚⠛⠛⣹⠏⠀⠀⠀⠀⠀⠀⠀⠀⠴⠛⠛⠉⡁⠀⠀⠙⠻⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡷⠷⢿⣦⣤⣈⡙⢿⣿⢆⣴⣤⡄⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣤⡀⣸⡄⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣟⣩⣤⣴⣤⣌⣿⣿⣿⣦⣹⣿⢁⣿⣿⣄⣀⡀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⠋⠻⢿⡁⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠿⠛⢦⣽⣿⣿⢻⣿⣿⣿⣿⠋⠁⠘⣿⣿⣿⣿⣿⣿⣼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⠁⠀⠀⠙⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠿⣿⣯⣼⣿⡿⠟⠃⠀⠀⠀⣿⣿⣿⣿⣿⡛⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣧⣴⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⠟⠃⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⢁⣀⣀⣀⣀⣀⣠⣀⣀⢀⢀⢀ ⠀⠀⢿⠿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠙⠛⠛⠙⢻⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡇⠀⠘⠃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡟⢿⣿⣆⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡼⠁⢀⣀⡀⠀⠀⠀⣦⣄⠀⣠⡄⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣬⢻⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣰⣿⡿⠿⠦⢤⣴⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠒⣿⣿⣿⡿⠟⠹⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡖⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⣾⣿⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣆⣀⣀⣤⣴⣶⣶⣾⣿⣷⣦⣴⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⣿⣿⡛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⡟⠛⠛⠻⠛⠛⠛⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠓⢁⣬⣿⠇⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⢰⡿⣻⠇⠀⠀⠀⠀⠀⣠⣶⣶⣶⣶⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢐⣯⠞⠁⠀⠀⠀⠀⠀⠀⣄⠱⣄⠀⠀⠀⠀⠸⡧⠟⠆⠀⠀⠀⠀⠘⠿⢿⠿⠿⣿⡿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡈⠂⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⡄⠀⠀⠑⠄⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣦⣦⣼⡏⠳⣜⢿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢠⣷⣦⣤⣀⣀⣀⣴⣿⣿⣿⣿⣿⡿⠻⠆⠸⣎⣧⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣠⡄⠀⣿⢹⡇⢸⡀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⠾⠒⢷⣤⣴⠶⠲⢦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠛⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡖⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡤⠤⠴⠶⢦⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠂⠀⠀⠀⠀⠀⢀⣠⠶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⣤⣀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡟⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠸⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⠀⠀⠀⢸⠇⠀⠀⣠⣤⡤⠤⢤⣄⠀⠀⠀⠀⠀⠀⠀⢀⣤⡖⡒⠒⠲⣄⠀⢻⡆⠀⢺⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⣿⠀⢠⣎⠥⡶⢾⢶⠶⠬⣷⡀⠀⠀⠀⠀⢰⣿⢖⣿⣭⠉⠓⠮⣷⠘⡇⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡀⢸⡏⠀⠈⠀⢠⣶⣾⣿⡿⢦⣄⠀⠀⠀⠀⢸⠀⣸⡾⣿⣿⣿⣷⠄⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣼⠃⠀⠀⠀⠈⠛⠛⣿⠿⠏⠁⠀⠀⠀⠀⠸⠀⠀⠙⠯⠭⠉⠁⠀⠀⠀⣿⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⢀⣀⠀⠀⠀⣀⠈⢦⡀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠌⠉⠙⠒⠉⡀⠷⠋⠀⠀⠀⠀⠀⠀⢀⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣯⣧⠀⠀⠀⠀⠀⠀⠀⢀⡀⠔⠚⣉⣀⣀⣀⣁⡙⠦⣄⠀⠀⠀⠀⠀⢼⣷⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡷⠀⠀⠀⠀⠀⠀⠳⢀⣴⣋⣀⣀⣀⣀⣀⣙⣦⣘⠀⠀⠀⠀⠠⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡀⠀⠀⠀⠀⠀⠐⠿⣍⡉⠀⠉⠉⠉⠀⠉⣩⠟⠂⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀⠀⠀⠀⠀⠀⠀⠉⠑⠒⠒⠒⠊⠉⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠙⠳⣄⡀⠦⢦⣦⣄⣀⢠⣤⣤⠀⣄⣠⠞⠃⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⠛⠶⣤⣀⡈⠿⠘⢈⣹⡴⠛⠁⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡝⠷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠟⠁⠀⠀⠀⠙⠷⢤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠶⠛⠁⠀⠈⠻⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠖⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠒⠒⠒⠲⠶⠶⠶⠒⠒⠒⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠒⠶⣤⣄⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣴⠖⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠦⣤⡀⠀ ⠀⠀⣀⣤⠶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳ ⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⢀⣀⣀⣀⣀⣀⣀⡀⡀⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣝⣏⣿⣿⣇⣛⣉⣛⣃⣹⣛⣉⣻

SO I PARTY LIKE A ROCKSTAR✮⋆˙ LOOK LIKE A P0RN STAR✮⋆˙ EVERYDAY I GO HARD✮⋆˙ RIDING IN MY SPORTS CAR✮⋆˙ PULL UP IN THE VH✮⋆˙ SONGS ON REPLAY✮⋆˙ SPINNING LIKE A DJ✮⋆˙ MAKE IT LOOK EASY✮⋆˙ CAUSE I GO FASTER AND HARDER✮⋆˙ ★🎸🎧⋆｡ °⋆ ↻ ◁ || ▷ ↺

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠖⠒⠒⠲⠤⢤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣾⣿⣉⡀⠀⠀⠀⠀⠀⠀⠀⣯⣙⣳⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠾⠛⠉⠛⢿⣿⣿⣶⣦⠀⠀⠀⠀⡞⠋⠉⠙⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⣸⣿⣿⣿⣿⣇⠀⠀⣸⡁⠀⠀⠀⣼⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣄⣠⣤⣾⣿⠟⠛⣿⣿⣿⠀⠀⣿⣿⣦⣴⣿⡟⠋⠀⠹⣿⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢈⢻⣿⣿⣿⣿⡇⢀⣠⣿⡿⠋⠀⠀⠙⠿⣿⣿⣿⣷⣤⣤⣴⣿⠿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡾⠀⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣀⠀⠀⠀⢀⡌⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢳⣄⣀⡀⠀⣆⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢻⡇⠀⠉⠀⢨⡅⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢳⣄⠀⠀⡟⠙⡒⠲⠦⠤⠤⠤⠤⠤⠤⠴⠖⠋⢀⣼⡇⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡄⣿⢦⣽⣤⣄⣀⢈⣇⠀⠀⣀⣸⣤⡴⠟⣹⡇⠀⣠⡴⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠉⠻⢧⣽⡀⠀⠈⢉⡇⠀⠀⢀⡽⠀⠀⢠⣿⣴⡞⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠞⠋⠀⠀⠀⠀⠈⠉⠓⠒⠚⠅⠀⠀⠰⠇⠤⠴⠋⠉⠀⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⡀⣠⡾⠋⠁⠀⢀⣠⠼⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⠻⣄⠀⠀⠀⠀⠀⠀ ⢰⡤⠿⠻⠋⢀⣠⠴⠛⠛⠁⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠛⣧⡀⠙⢦⣠⠞⣻⣿⠇ ⢸⣿⣤⣤⡀⢾⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠈⢻⡆⠀⠀⢈⡛⣦⠀ ⠀⠀⠀⠈⠻⠾⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠻⠟⠋⢧⣿⠛⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠁⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢠⡶⠒⠶⣄⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⠟⠀⣰⠟⠀⠀⠀⠈⠳⣦⠀⠀⠸⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠥⠤⠾⠃⠀⠀⠀⠀⠀⠀⠘⠦⣄⣀⣨⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠤⠶⠦⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣻⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣋⣀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡏⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⢹⠟⢇⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣟⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣀⡾⠀⢸⡀⠀⣽⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠏⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡏⠉⠀⠀⢸⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⣀⣀⡼⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⣤⠀⠘⠂⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡆⠀⠀⠀⠀ ⠀⣠⣄⠀⠀⢹⡷⣦⣄⣀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣤⠶⢶⣶⢟⠁⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢠⡷⠶⠟⠁⣧⢀⣦⠀⠀ ⢀⣿⢈⡉⠳⢦⣽⣿⢶⡏⠉⠉⠉⠉⠉⠉⠀⠀⣽⣧⠴⢋⣤⠏⠀⠀⠀⣇⠀⠀⢀⣀⣤⢶⣖⡋⢹⡇⠀⠀⠀⠀⠀⠀⢠⣿⣇⠀⢠⣴⠘⠋⢻⠀⠀ ⢿⡛⢿⣄⠀⠀⠀⠉⠳⣝⡲⠤⠤⠤⠤⠤⠶⢻⣯⣤⣾⠋⠁⠀⠀⠀⠘⠛⠛⠋⠉⠀⠀⠀⠀⡿⠛⢦⣤⠀⠀⠀⠀⠀⠀⠘⣿⣧⣾⣿⠀⠀⢸⡇⠀ ⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠉⣿⠒⠒⠒⠛⠛⠉⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⢿⣿⢀⡀⠈⣿⡄ ⠀⠀⠈⠻⣄⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠃⠸⣿⣿⣿⡀⢸⠂ ⠀⠀⠀⠀⠈⠳⣄⡀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⢀⣀⣀⣠⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠛⠛⢻⣳⡾⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⢦⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠉⠉⠹⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡆⠀⠀⠀⣸⣾⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⢾⠙⣿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⢀⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣀⣀⣀⠀⢈⡷⣤⣀⡀⠀⠀⠀⣀⣀⡤⠖⠋⠀⠀⢀⣼⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠈⠋⠉⠉⠓⢾⡃⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⢠⣾⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀⠀⠀⠀⠙⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⡇⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⣄⡀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣠⡤⢞⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠛⠓⠀⣾⡁⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠓⠒⠒⠒⠚⠉⢉⣡⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⡤⠾⢷⣦⣄⠀⠀⠀⠀⢠⣟⠁⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⣠⡞⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⠴⣾⣯⣁⠀⠀⠀⠉⠃⠀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠾⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠻⢿⣥⣴⣛⣳⣄⣀⣀⣀⣀⣀⣤⠤⠤⠞⠋⠀⠀⠀⠀⠸⣇⡤⢤⣠⡤⣄⣰⠶⣦⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢀⣉⣉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡙⢧⣤⣿⣤⡼⣯⣴⣋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⠐⠉⠀⠀⠀⠀⠀⠀⠈⠑⠢⠀⠀⠀⠀⠀ ⠀⢀⣀⣀⠔⠀⠀⠀⠀⣀⠤⠀⠒⠒⠀⢄⠀⠰⡀⠀⠀⠀ ⠀⠀⠢⡀⠀⡐⠒⣚⢉⡁⠀⠀⠈⡁⠐⡀⠐⡀⠘⠀⠀⠀ ⠀⠀⣶⣾⢶⢶⣶⣶⣶⣶⣶⢶⡿⣶⢶⣶⣷⣶⣶⣶⡆⠀ ⠀⠀⠙⢻⣷⣵⣿⣿⣿⣿⠇⠈⢿⣿⣷⣿⣿⣿⣿⠛⠁⠀ ⠀⠀⠀⠣⣩⠉⠉⠉⠉⠁⠐⠈⠀⠉⡉⠉⠉⢹⡠⠃⠀⠀ ⠀⠀⠀⠀⠈⢢⠀⠀⠻⣿⣿⣿⣿⡿⠓⠀⠠⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠥⠦⠄⢀⣀⣀⣀⡀⡤⠦⠅⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠀⢠⠓⠚⢳⣲⠻⠐⠱⡀⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢠⠀⠱⠂⢿⠹⠇⠰⡉⢠⠸⠀⠀⠀⠀⠀ ⠠⢤⣠⢤⡀⡀⢸⠀⠈⠢⠘⣼⠤⡮⡤⢺⢀⠀⣠⡄⠀⠀ ⠠⣾⣿⢀⣿⣷⢳⡆⡖⢲⠣⡡⢡⡟⡇⠈⢲⠛⣿⠀⣖⡦ ⠠⢼⣿⠦⠟⠻⠼⠃⢧⠸⡄⠀⠠⠿⠴⠤⠸⠄⠿⠄⠧⠄ ⠀⠈⠉⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⣄⠀⠀⣰⣀⣼⣿⠟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣲⡎⢀⣿⣿⣉⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡿⠛⠉⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣀⣀⣠⣸⣆⠀⠀⠀⠀⠀⠀⢸⣤⣤⣴⣤⣤⣤⣀⣀⣀⣀⠀⠙⢄⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠛⠛⠧⡀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠈⠉⠙⠢⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣀⡀⢀⡌⠢⣀⠀⠀⠀⢹⣹⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢀⣼⣿⢿⣯⡉⠀⠀⠈⠓⣄⠀⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣠⣦⣤ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣻⣿⣟⢻⣿⠋⠉⠉⠉⠉⠉⠉⠒⣤⣻⣿⣿⣿⣿⣧⣄⣠⣴⣶⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣿⣿⣿⣿⡿⢡⣼⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣷⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣾⣿⣿⣿⣿⠟⠉⣧⣿⠀⢻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠙⠛⠮⣝⠛⠛⠛⠿⠿⠿⠿⠿⠛⠛⢋⣉⣩⡵⣚⣉⡤⠀⠀⣿⣿⡀⣾⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠂⠀⠹⣿⣿⣶⣤⠀⠀⠀⠀⣠⣶⣾⣿⣿⠥⠽⠛⠉⠀⠀⠀⡏⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣄⠈⠻⣿⣿⣷⠀⠀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡳⣤⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⢊⠏⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠧⠤⠤⠤⠀⡀⠀⠀⠉⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⡤⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠙⠉⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣧⣵⣭⣯⣯⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⢀⡀⠀⠀⠀⠀⠀⣀⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⢹⡛⠿⣏⡉⠙⠓⠓⣦⡤⠖⠛⠉⠀⠀⠈⠉⠉⠉⠉⠙⠒⠶⣏⡉⠉⠉⠉⣉⡿⠛⢻⣿⡇⠀⠀⠀ ⢻⣖⠃⠀⠀⠉⠳⣶⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡶⠛⠉⠀⠀⢀⣻⡇⠀⠀⠀ ⠘⣿⠇⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⠀⠈⠻⡅⠀⠀⠀ ⠀⠙⣷⠆⣠⠎⠀⠀⠀⣠⠃⠀⠀⢠⠆⠀⠀⠀⠐⡄⠀⠀⠀⠳⣄⠀⠀⠀⠘⢦⣀⠀⣶⠞⠋⠀⠀⠀ ⠀⠀⠙⣻⠇⠀⠀⠀⢰⠃⠀⠀⠀⡞⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠈⢦⠀⠀⠀⠀⠻⣽⠋⠀⠀⠀⠀⠀ ⢻⣷⣟⡵⠂⠀⠀⠀⡟⠀⠀⣰⢠⡇⠀⠀⠀⠀⠀⠀⢳⠀⢠⠀⠀⠀⢣⠀⠀⠀⠀⢹⣶⠟⠀⠀⠀⠀ ⠀⠀⣼⠁⠀⠀⠀⠀⢻⠀⣾⣿⡟⢻⠦⣤⠀⠀⢠⠀⢸⠷⡚⢿⣝⠒⠺⡇⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀ ⠀⠀⢻⡀⢸⠀⠀⡀⢸⣾⣟⣋⣀⣀⢳⣜⣷⣀⠈⣷⡟⢀⣈⣻⣯⣙⡒⣿⠀⡄⠀⢰⠀⣿⠀⠀⠀⠀ ⠀⠀⠈⢷⡈⢧⠀⣧⡀⣿⣿⠏⢹⡟⣿⠏⠃⠈⠱⠟⠁⠘⣿⣯⣍⠙⣿⣿⣠⣧⠀⣼⢠⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣷⣿⠗⣾⣿⡁⠈⠉⣹⠀⠀⠀⠀⠀⠀⠀⢏⡈⠉⣠⡯⣿⠋⣯⠜⢿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢳⠀⠀⢻⡉⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⡼⠀⠁⠀⢸⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠀⠀⠀⠙⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠞⠁⠀⠀⠀⠈⢷⣄⡀⠀⠀⠀ ⠀⠰⣆⣠⠶⣿⠃⠀⠀⠀⠀⠀⠈⠉⠒⠒⠠⣤⣤⣤⡤⠒⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⢧⠉⠁⠀⠀ ⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⣰⠻⣿⣯⡤⣬⣿⣿⠷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠳⣄⠀⠀ ⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⢠⠀⠀⢠⠃⡄⠙⢿⣿⣿⠟⠁⡆⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⢸⣷⡄ ⠀⢸⡏⠀⣠⠀⠀⠀⠀⠀⡎⠀⠀⣿⠤⣷⠀⢀⠟⢧⠀⠀⡿⠶⢿⠄⠀⠀⠀⢀⠀⠀⠀⣼⡇⢸⣿⡇ ⠀⠘⣧⠀⣿⠀⡄⠀⠀⢸⠀⠀⠀⠙⠦⣼⡄⠘⠦⠜⠃⣠⣧⠞⠉⠀⢠⠀⣠⠏⠀⢀⡼⢁⣧⠟⠟⠀ ⠀⠀⢹⡄⡿⣆⠸⣆⠀⠸⡄⢀⠀⠀⠀⢸⣧⣄⣤⡤⣽⢶⣷⡀⠀⠀⣾⣠⡿⢀⡴⠋⠠⠟⠁⠀⠀⠀ ⠀⠀⠀⠹⣿⡌⢦⡙⣷⢤⣹⣼⣷⣀⢀⡞⠀⡇⠘⡇⢹⡄⢿⡹⣤⠞⣻⡟⢷⡞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠀⠙⣾⡆⠈⠙⠃⣨⠟⠀⣸⠁⢠⡇⠀⢳⡌⢷⡘⣦⡍⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠙⠓⠚⡟⠒⠺⡷⠦⠴⢿⠒⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⢱⠀⠀⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣾⣶⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⣐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠿⠿⠟⠛⠛⠛⠿⣿⣷⣿⣿⣯⣭⣿⣿⣿⣿⣯⣭⣭⣟⣻⣿⣿⣿⣿⣿⣿ ⠁⠀⠀⠀⠀⠀⠀⠀⣜⣿⡿⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣹⣿⣿⣿⣿⣿ ⠀⠀⢀⣠⣴⣶⣶⡞⣾⡿⠁⢀⡀⡠⢔⣨⡿⠻⣿⣿⣿⣿⣿⣿⣷⢿⣿⣿⣿⣿ ⢶⣿⣿⣿⣿⣿⣿⣹⣿⢃⣔⣹⡎⣶⠛⣉⠑⠀⢿⠻⣿⣿⡫⣼⣛⣾⣿⣿⣿⣿ ⢌⣿⣿⣿⣿⣿⣏⣿⣿⢻⠋⣭⣹⡘⠼⠿⠗⡐⡠⣒⢽⣿⣿⡞⣿⣿⣿⣿⣿⣿ ⣏⠙⣿⣿⣿⣿⣿⣿⣿⡿⠱⠛⠙⠃⢀⢤⡪⣴⠓⣋⣿⣿⣿⢱⠳⡀⠀⠹⣿⣿ ⣿⡞⢻⣿⣿⣿⣿⣿⣿⣷⣃⠦⣀⠀⠀⠀⠛⣩⡆⢩⣿⣿⢧⢃⣀⡱⡀⠀⠘⢿ ⣿⣿⡤⢻⣿⣿⣷⣽⡿⣿⣿⣯⣖⣨⡥⠶⢮⣪⢋⣾⣿⣿⣯⣿⣿⣿⡇⠀⠀⠈ ⣿⣿⡷⢾⣻⠽⣪⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣷⣿⣿⣿⣿⣿⣿⢿⣿⣿ ⣿⣿⢉⠀⠠⠔⡇⠫⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡻⣿ ⣿⣿⡇⣀⠀⠂⢙⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⢺⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⣧⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣿⣋⣟⠭⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣭⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢮⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⣦⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠢⣽⣅⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⢤⣿⡇⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠸⣞⡇⠀⠀⠀⠀⡏⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⣿⣷⠀⠀⠀⠀⢻⡈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢸⣿⡆⠀⠀⠀⠀⢳⣬⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡈⣿⣧⠀⠀⢠⡄⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⢹⣿⡀⠀⢸⢧⠟⢹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠸⣿⡇⣠⠋⢾⣾⢸⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡖⠀⠸⣿⣶⣿⣷⡏⢰⡿⢿⠏⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣴⢋⣿⣿⣿⠇⡟⠁⣏⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡞⣏⢦⠇⢸⡿⢿⠋⢀⣤⣀⡘⢦⡟⢸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠃⢀⣴⡆⠀⠀⠈⣹⣿⡷⠆⠀⣧⠈⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠜⢁⡴⠋⡀⠙⢄⠀⣰⣿⣟⠓⠀⠀⢉⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢰⡏⡠⠊⢀⡴⣇⠀⢀⡞⠉⠛⠀⡀⢀⣄⣩⠌⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⢣⠶⠖⠊⢀⣈⠉⣹⡷⢀⣴⡯⠔⣛⡵⠁⣠⡏⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⢿⠟⠀⣰⡞⠉⣿⡷⠇⠃⣠⢴⣶⣾⡋⢀⡴⣽⠁⠀⠘⣏⣀⢰⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣶⣶⣅⣠⣶⠀⠒⠟⢁⡴⠋⠀⠀⠀⢹⣿⣿⡋⣧⢸⡇⡏⣀⣀⠀⠙⣿⣉⠙⢤⡄⠀⠀⠀ ⠀⠀⣠⣴⣺⢿⣿⣿⡛⠛⠿⠿⣯⣷⡲⣶⣟⣻⡀⠀⣠⣿⣿⣖⣸⣨⣿⠿⠛⣻⣿⣶⣾⣾⠇⠀⠻⣄⠀⠀ ⠀⣾⢟⠿⠿⢶⣮⡙⢏⢢⡀⢠⡌⣿⣿⡿⠟⡿⢳⣼⣿⣿⣿⣾⣿⣧⣤⣤⣤⣿⣿⣭⣿⠁⠀⠀⣀⣈⣧⠀ ⢺⣥⢿⠾⠿⠿⠿⡿⠚⢋⣠⠯⣿⢉⢉⠻⠾⠛⢿⣿⠻⠿⢛⢋⣤⣯⣭⠽⠶⣾⣻⢿⣻⢿⠶⢛⣻⡿⢽⠄

⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⣶⣶⣶⣶⣶⣾⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣶⣶⣾⣷⡒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⣀⣽⣿⣿⣿⣿⣿⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⡏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣵⣿⣿⣷⡻⣿⣿⣿⣿⣷⣝⢿⣿⣿⣿⣿⡿⢿⣿⠛⠛⠛⠻⠿⠿⠟⠻⠝⠻⠿⣿⣿⢟⣿⣿⣿⣿⣿⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣮⣟⣿⣿⣿⣿⣿⣯⠿⠟⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⣿⣿⣿⣿⣿⣿⣷⣽⡳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠉⠹⢿⣿⣿⣿⣿⣿⣿⣮⡻⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⡄⠀⢲⡞⠀⠀⠈⠹⢿⣿⣿⣿⣿⣿⣿⣮⢷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣄⣼⣿⡿⣽⣿⣿⡿⣫⣾⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⣇⠀⠀⣸⣥⣠⣾⠃⣀⠠⡀⠳⡀⠻⣿⡿⣿⣿⣿⣿⣧⢣⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⣯⣾⣿⡿⣻⣾⣿⣿⣿⡷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⢸⡆⠹⣅⠀⠳⣌⠉⠁⠀⠸⠌⠀⠀⠸⢿⣿⡿⣿⣿⣿⣏⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⣵⣿⣿⣿⣾⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡞⠁⠀⡰⠋⠀⠀⠈⠓⠀⠈⢿⣦⣠⡾⠔⠛⠉⠛⡎⢿⣿⣞⢿⣿⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣤⣴⡶⠟⠋⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⠖⠶⠶⠶⢧⡈⢻⣿⣯⣿⣿⡇⠀⠀⠀⠀⠀ ⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢀⡴⠊⠁⠀⠉⢉⣁⣠⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⣄⠉⠲⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⠀⠀⠀⡰⠋⠀⣠⠖⠃⣀⣀⣀⣀⣀⣀⣀⠀⠰⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⢋⣠⣶⣶⣶⣦⢭⡁⢹⣿⣿⣿⣿⡀⠀⠀⠀⠀ ⠈⢿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢀⡞⠁⡠⠞⢀⣴⣿⣿⣿⣿⣿⠏⢙⠟⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠿⡛⣿⡿⢿⠿⢛⣿⡀⣿⣿⣿⣿⣿⣄⠀⠀⠀ ⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠀⢀⠞⠀⡴⢁⣼⡿⠛⠦⢄⣛⣛⡳⠴⠋⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠉⠓⠛⠚⠛⠋⠀⠹⣿⣿⡽⣿⣟⠻⢷⣄⡀ ⠀⠀⢰⣯⣟⣻⢿⣿⣿⣿⣹⣿⡏⣿⠀⠀⠀⠀⢠⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣯⣻⣄⠀⠀⠉ ⠀⠀⣾⣿⣿⣫⣿⣿⣿⡏⣿⣿⣿⣿⠀⠀⠀⠀⠘⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣄⠀⠀ ⠀⢸⣿⡿⣱⣿⣿⣿⣿⣷⣿⣿⣿⡟⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣾⣽⣿⣿⣿⣷ ⠀⢸⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣾⡇⠀⠀⠀⠀⠀⠀⠘⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢶⣤⣀⡀⠀⠀⣠⣔⠀⢸⣿⣿⣿⠿⠿⠟⠛ ⣴⣿⣿⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⢄⣀⡀⠀⣀⣀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠟⠛⠁⠀⢸⠟⠛⠻⣦⡀⠀⠀ ⠿⢿⣿⣿⠟⠁⠀⠀⠀⠈⢻⣿⣿⣿⡄⠀⠀⠀⠀⢀⣀⣄⠈⢓⠂⠉⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠾⣆⢀⡀⠈⡳⡀⠀ ⠀⠀⢠⠏⢀⣤⠤⢤⣄⠀⠀⠙⢿⣿⣿⡄⠀⢀⠞⠉⠀⠀⠀⠀⠉⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⣿⣿⡳⣄⠀⢳⠀ ⠀⢰⡏⠚⠁⠀⣠⡞⠈⠙⢦⡀⠀⠉⠻⢿⣦⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⢀⣀⡤⠶⡖⠋⠉⡟⠉⠑⠶⠦⣄⡀⠀⠀⠀⠀⡾⠁⠀⠀⠀⣿⣿⣿⣷⣶⣾⣤ ⠀⢸⡇⠀⠀⣾⠁⠻⠴⢻⠋⠁⠀⠀⠀⠀⣧⠙⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⡽⢄⠀⠀⠀⢠⠞⢹⡇⠀⢀⣁⣠⠤⠧⠤⠤⣤⣀⣰⠉⡗⠀⣠⠾⡃⠀⠀⠀⠀⡿⠿⠿⡿⠟⢻⠉ ⠀⠘⣇⠀⠀⠈⡇⠁⢢⡘⢦⡀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠈⠓⢦⡀⢸⣀⡼⠖⠊⠉⠁⠀⢀⣀⠀⠀⠀⠀⠉⠛⢳⠞⠁⠀⢧⣀⠀⠀⢸⡇⢀⣠⠇⠀⡼⠀ ⠀⠀⠘⣄⠀⠀⠙⢦⣠⠗⠊⠙⠒⢤⡀⠀⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡟⠉⠀⠀⠀⢀⡤⠊⠁⠈⠙⠢⠤⠀⠀⠀⡏⠀⠀⠀⠈⠛⣦⡀⢸⡗⠋⠁⠀⡼⠃⠀ ⠀⠀⠀⠙⢦⠀⠀⠀⠀⢠⣴⣆⠀⠀⠐⡄⠀⠀⠀⠉⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠐⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣸⣁⠀⢀⡴⠃⠀⠀ ⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⢹⠁⠀⢠⠞⢹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⢻⡵⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⣗⣒⣲⡒⠛⠁⠀⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠛⢹⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡟⢩⣿⣿⣻⡆⠀⠀⣼⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠛⢶⣤⣼⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⢸⣿⣿⡍⡇⣠⣾⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⢸⢠⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠂⢿⣟⢀⣻⣿⣿⠿⠿⠛⠉⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣦⡀⠀⢸⢻⣿⣿⢿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⠸⡇⣯⢯⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠴⠞⠻⠿⣿⣿⣿⠷⢼⠋⠞⡟⡼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠚⠓⠺⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠈⠙⠓⠢⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠒⠚⠁⢻⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⣧⠃⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃ ⢀⡶⠲⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀ ⠠⡇⡀⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⢀⡾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀ ⠀⣧⢹⡀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⢠⣿⠇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⣿⢸⢳⡀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⢀⡞⢸⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀ ⠀⠸⡞⡄⢳⡄⠀⠙⢷⡀⠀⠀⠀⠀⠀⢠⠏⠀⠀⣸⠀⢸⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀ ⠀⠀⣧⢳⠀⠙⣦⠀⠀⠙⢦⡀⠀⠀⠀⣿⠀⠀⢀⡇⠀⢸⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀ ⠀⠀⠸⡎⣇⠀⠈⠳⣄⠀⠈⢳⡄⠀⠀⣿⠀⠀⣸⠁⠀⡾⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀ ⠀⠀⠀⠹⣌⠳⣀⠀⠙⢦⡀⠀⠹⡄⠀⢸⠀⠀⡟⢀⡼⣷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⣌⡳⣄⡀⠻⣄⠀⢹⣄⣸⣤⡶⡧⢟⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠶⣍⡓⠾⠆⣸⣿⣿⣿⣧⣠⣞⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢦⣾⣟⠉⠛⠀⠟⡻⣯⡳⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢟⡟⣿⣄⠀⠀⣸⣿⢾⡀⠈⢳⡄⠀⡤⣤⢤⣄⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠘⢰⣿⡟⢧⠀⢾⠛⠁⢳⠀⠀⢙⣦⣧⣹⡀⡬⢷⡄⠀⠀⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠘⣟⠁⠈⣇⠸⣆⠀⢸⡶⠞⠉⠀⠀⠙⠻⣧⡀⠹⡄⢰⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⠶⠶⠼⢦⣀⣼⣤⣼⣷⢋⠤⠔⠚⠉⠉⠀⠀⣿⠱⠀⢻⣼⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠢⠤⠐⠒⣂⣀⣴⡯⠛⣋⣹⣷⣒⠒⠒⠉⠉⠉⣱⠛⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣏⡤⠴⠚⠉⣡⣴⣿⣯⠉⢣⠠⣿⠋⠁⠀⠀⣠⠾⡇⢠⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⢦⡀⠀⠈⠁⠉⣿⣿⣧⣼⣦⠏⠀⣠⡴⠛⠁⠐⣇⢸⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠦⠤⢮⣝⣛⣩⠥⠔⠋⣼⡗⠶⣄⠀⢹⣾⣀⡤⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⠧⡀⠀⠀⡏⠻⣆⠘⢧⡈⢳⠒⠚⢻⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⢣⠀⠀⠀⠀⠈⢧⡀⢻⣼⡆⠀⠈⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀⠻⡄⠙⣧⠀⠀⠘⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢸⠂⠀⠀⠀⠀⠀⠀⢹⠀⠸⡆⠀⠀⢹⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢳⠀⣀⠀⢿⡆⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⢀⣀⣴⣶⣯⣿⣀⣀⡀⠀⠀⠇⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢶⣾⣿⡿⢋⠉⠙⠋⠛⠑⣠⣿⢷⣄⠀⠀⢃⣀⠀⠠⠖⠒⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠟⠿⠋⣨⠟⠀⠀⠀⠀⠀⠤⣿⡄⠀⠹⣿⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠘⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠋⠛⠁⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠈⠓⠐⠦⠀⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⢱⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠤⠔⠂⢠⣿⣏⠀⢀⣠⣤⣄⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⡄⠋⣷⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢣⠘⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⢀⣾⠏⣽⠾⠋⠁⠀⠉⢿⣷⠀⠀⠀⠀⠀⠀⠀⣸⡾⠛⠉⠉⠙⢷⣿⣧⠀⢸⠋⠉⠳⡄⣀⣀⣀⡀⠀⢸⡀⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⣇⠀⠀⣼⢯⣿⠏⠀⠀⠀⠀⠀⠈⢻⣷⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⢿⣿⡄⢸⡀⠀⠀⠿⠁⠀⠀⢷⠀⠈⡇⠘⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠘⠀⢸⡏⣸⡏⠀⠀⣠⣴⣤⡄⠀⢀⣿⡇⠀⠀⠀⠀⠀⣿⠀⠀⣴⣦⣄⠀⠸⣿⣇⠀⢷⠀⠀⠀⠀⠀⣠⠏⣀⣠⠤⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⣾⣷⣿⠀⠀⣸⣿⣿⣾⡇⠀⣸⣿⣥⡾⠛⠛⢶⣿⣿⡇⠀⣷⣿⣿⣧⠀⢹⣿⡆⠈⢧⡀⢀⣠⠞⠋⠀⠀⠀⠀⠀⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠇⢸⡏⣿⡇⠀⠀⠘⠿⠿⠛⠀⠀⢹⣿⣯⣀⠀⠀⣁⣽⣿⡇⠀⠙⠿⠿⠃⠀⠈⢿⣿⠀⠈⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄ ⢠⡞⠉⠉⠉⠉⠛⠲⠦⢄⣀⠸⣷⣿⣇⠀⠀⠀⢀⣤⡄⠀⠀⠀⠙⠿⣿⣿⣿⠿⠟⠉⠀⠀⠀⢠⣶⡀⠀⠀⣾⣿⢀⣀⠤⠶⠒⠋⠉⠉⠉⠙⣆⠀⠀⠃ ⢸⡇⠀⠀⠀⠀⠀⠀⢀⠀⠨⠟⢿⣿⣿⡄⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⣼⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀ ⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀ ⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣄⠀⠉⠛⠻⣷⣦⣤⣤⣀⣀⣀⣀⡤⠴⠋⠽⠓⠲⣤⣤⡴⠒⡿⠛⠙⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀ ⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠈⠉⠐⠀⠀⠄⠀⠀⠀⠀⠀⠀⠸⣏⠀⠀⠀⠀⠀⣐⡿⣷⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠋⠁⠸⣇⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠳⢤⣀⣀⣀⡤⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⣄⣀⡤⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠉⢉⡼⢁⡏⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣄⠀⠀⢀⣛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡼⠁⢰⡇⠀⠀⠀⠀⠀⢀⡼⠋⠹⠦⠞⠋⠉⢷⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⠸⠦⠶⢶⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⠁⠀⠀⣇⠀⠀⠀⠀⠀⡞⠀⠀⡆⠀⠀⠀⠀⠈⠉⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⡆⠀⠀⠀⠘⠛⣶⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⠀⠀⠀⠹⡄⠀⠀⠀⢠⡇⠀⠀⡇⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⡇⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⠈⠚⣶⣀⠀⠀⠻⣦⠀⠀⠘⡇⠀⠀⢹⡀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠸⡇⠀⠀⢠⡾⠁⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠀⢠⠀⠉⠛⠛⠒⠚⠷⢤⣀⣻⣄⠀⠀⢳⡄⠀⠀⠀⣸⠃⠀⢀⣀⣠⠤⠤⠤⢤⣄⣀⣀⠹⣆⠀⢀⡇⠀⣰⠋⠁⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⡀⡀⢈⢙⠳⢤⣄⣀⣓⣦⠾⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⠙⠓⠦⠤⠞⠁⠀⠀⠀⠸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠈⠀⠀⠀⠉⠀⠉⠀⠀⠀⠀⢁⡀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠊⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣧⡇⠀⠀⠀⠀⠀⠀⢀⣠⡤⠴⠶⠖⠲⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⢀⡤⠞⠋⣠⠴⠒⠋⠉⠉⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⢿⡇⠀⠀⠀⠈⣇⠀⠀⣷⠀⠀⠀⠀⠀⠀⣧⢀⣀⣀⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠛⠁⢺⠥⢦⠀⠀⠀⢹⡄⠀⢸⣆⣀⣤⣶⣶⣾⣯⣭⠭⠭⠭⠿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⢸⠠⠀⠀⠀⠀⠈⣿⣾⣿⣿⣿⣿⣿⣿⣿⠿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢰⣿⣿⣿⠋⢈⣻⣿⡟⣁⠀⡧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⢀⣿⣿⣿⡇⠀⠘⣿⠋⠣⣟⡰⠳⢤⠀⢀⣀⣀⣤⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣷⠀⠀⢀⡴⠚⠉⠀⠈⠉⠒⠊⢡⡆⠀⠀⠉⠱⠞⠋⣁⠤⠔⣠⠾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠀⠀⠹⣄⠰⠊⠛⢤⡀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠻⣏⠉⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠈⠳⣤⣀⠀⠈⠙⠒⠒⣲⣶⣖⠋⠉⠢⡄⣸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡟⠀⠀⠀⠀⠀⡾⣿⣿⣿⡞⠋⠉⠉⠉⠈⠓⠲⠖⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡇⠀⢀⣀⣀⣠⡃⠈⢙⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣇⣾⣿⣿⣿⣿⣷⣤⣾⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠀⣀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⣤⠤⠶⠛⠛⠋⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠚⠋⠉⣁⠀⠐⠂⠀⠀⠀⢤⠞⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠞⠛⠲⣦⣤⠤⠤⢴⠏⣦⣈⣷⣚⠉⠻⡄⠀⠀ ⠀⠀⠀⣿⣀⠀⠈⠁⠀⠀⠀⢾⡀⢻⡿⠉⠉⣷⡞⠻⣦⠀ ⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⠈⠛⠛⠷⣤⣴⠿⠿⣠⡟⠀ ⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢦⡶⢻⡄⠀ ⠠⠤⡧⠤⠄⢠⣤⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠋⢹⡏⠁ ⠀⢀⣿⡤⠄⠘⠿⠁⠀⠠⣞⣻⠄⠀⠀⠻⠏⢀⡈⣽⠛⠃ ⠀⠀⢈⡷⣶⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠿⠛⠂⠀ ⠀⠀⠀⠀⠀⠉⠙⠛⠛⠓⠒⠒⠒⠚⠛⠛⠉⠁⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢤⣲⡖⢻⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⡙⣷⣾⣿⣿⣷⣤⣤⣀⡀⠀⠀⠀⠀⣠⣴⣴⣶⣿⣿⠟⣸⣿⣆⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠁⠀⠋⢹⠸⡫⣓⠄ ⠀⠀⢀⣴⣾⣟⣦⡀⠀⠀⠀⠀⠀⢀⣽⣿⣿⣿⣿⣿⣬⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⠿⠟⠻⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀ ⠀⣴⣿⠿⠛⠛⢿⣿⣤⡀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⠟⠋⠀⠀⠀⠀⠻⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⣿⣿⠟⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠛⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡟⠀⠛⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⠃⠀⠀⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⢻⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⡓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⠿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡦⣀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣶⣾⣶⣶⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣯⡀⠭⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡋⠉⢋⣝⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⣘⣿⢿⡟⡷⢶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣡⡾⠃⣷⠀⡈⠙⢿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠋⢠⣾⠏⣸⣿⣦⡀⠙⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡟⠋⠀⠀⣿⡏⠀⣿⠁⠹⣿⡄⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠋⠀⠀⠀⠸⣿⡇⠀⣿⠀⠀⢹⣿⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⠀⣀⣤⣶⣿⡿⢄⠘⢇⠀⢸⣿⡇⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⣼⡿⠋⠁⠀⠀⠀⢀⣀⣀⣸⣿⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣠⣤⣤⣶⣶⣶⣶⣦⣤⣈⠗⢰⡟⠀⠀⣠⣴⠾⠟⠛⠛⠛⠻⣷⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠿⢿⣿⣍⠀⠀⠀⠀⠀⠉⠛⢿⣬⠇⢠⡾⠋⠀⠀⠀⠀⠀⠀⠲⣦⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⣷⠀⠀⠀⠀⠀⠀⠀⢻⣧⠋⠀⠀⠀⠀⡀⠀⠀⠀⠀⠘⣧⠀⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣧⠀⠀⢠⡀⠀⠀⢨⡿⠀⠀⠀⠀⠀⠉⠒⠒⠶⣦⡀⠙⢷⣶⣾⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠳⠤⠴⠟⠁⠀⢀⠀⠀⠀⠀⠀⠻⠟⠚⠃⠀⠀⠀⠸⠮⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢶⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⣼⣧⡀⠀⠀⠀⠀ ⠀⣀⣀⣀⣀⠀⠀⠘⢻⣦⣀⠀⠀⢠⣄⠀⢠⣴⣦⣄⠀⠉⠙⠻⢿⣦⡀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⣾⠋⠘⣷⠀⠀⠀⠀ ⠀⠹⣿⡿⠿⢿⣦⡀⠀⠈⡙⠛⠒⠚⣟⠀⣸⠛⠛⢻⡀⠀⠀⠀⠀⢹⣿⡀⠀⠀⠀⠀⣼⡟⠀⢀⣀⣘⣓⣚⣧⣶⣶⣶⠖ ⠀⠀⢸⣷⠀⠀⢿⣷⣠⣾⢿⣆⠀⠀⣿⠀⢻⡄⠀⠸⣧⣄⡀⠀⣀⣼⡿⠁⠀⠀⠀⣰⣿⢣⡾⠛⠉⠉⠛⣿⠋⢀⣿⠏⠀ ⠀⠀⢸⣿⠀⠀⠈⢿⣿⠁⠈⣿⠀⢸⡏⣀⡼⣿⣄⠀⠈⠛⠿⠿⠟⠋⠁⠀⠀⢀⣼⡿⠃⠏⣀⣀⠀⠀⠀⠀⠀⣼⡿⠀⠀ ⠀⠀⠀⣿⡀⠀⠀⠀⠁⠀⣸⡏⠴⠟⠛⠉⠀⠈⠻⢿⣦⣤⣄⣀⣀⣀⣠⣤⣶⣿⠋⠀⠀⢿⠏⠙⠻⢶⣦⣴⡾⠟⠁⠀⠀ ⠀⠀⠀⠘⣿⣄⣶⡄⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠛⠉⠀⢹⠀⠀⠀⢀⣤⣶⣶⣶⣦⣄⡀⠀⠀⠀⠀ ⠀⣠⡶⠋⠁⠈⠉⠁⠉⠉⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣴⡿⠋⠁⠀⠀⠉⠛⢿⣆⠀⠀⠀ ⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⢀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠈⣿⡆⠀⠀ ⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⣀⣴⠟⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀ ⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣤⣀⠀⣀⣀⣡⣤⡶⢟⣫⣵⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠀ ⠈⢿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠶⠶⣶⡶⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠁⠀⠀ ⠀⠀⠙⢻⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣧⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠛⠻⠿⣶⣶⣤⣄⣀⠀⠀⠀⠀⠀⣀⣼⡏⠀⠻⣧⣤⣀⠀⠀⢀⣠⠤⠤⠶⠶⠞⠛⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⣶⣤⡀⠀⠀⠙⣿⡆⠀⠈⢹⣯⠀⠈⠓⠲⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡆⠀⠀⢹⣷⠀⠀⠈⢿⣧⣀⠀⠀⠈⠛⣷⣶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡿⠀⢀⣾⡏⠀⠀⠀⠀⠙⠻⢿⣷⣾⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⣁⣤⡾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⣤⣤⣶⠿⢖⣋⣤⡤⣤⣀⡤⠄⣀⣀⣤⣤⣤⣤⣤⣤⣶⣶⣤⠤⠤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣴⡿⣋⠿⢁⣤⣾⡿⠟⠒⠉⢀⡤⠞⣛⡩⠽⢛⣩⠵⣒⣻⣽⣷⣧⠤⢴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣼⡿⣻⢞⣥⣞⣭⠾⠗⠒⠛⠉⠉⠛⠒⠺⢧⣄⣛⣉⣰⣋⣉⣘⣋⣁⣀⠴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⡿⢿⣿⣴⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⠗⠛⠉⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⢠⣴⣶⣿⣏⣿⣾⣿⣿⣿⣾⣿⣿⣿⣷⣶⣤⣭⣍⡓⠢⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⣾⣷⣿⣿⠿⠟⠛⠉⠁⠀⣸⠁⠀⠀⠙⢧⠉⠉⠙⠛⠻⠿⣷⣶⣮⣍⠲⢤⡀⠀⣀⠀⠀⠀⠀⠀⠀ ⠀⣤⣾⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⣿⣀⠀⠀⢠⣾⣿⣷⣦⡀⠀⠀⠈⡏⠛⠿⣧⡀⠈⠉⠁⠀⠀⠀⠀⠀⠀ ⢰⣿⡿⠿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠈⠉⠙⠙⣿⣿⣿⣿⡿⢦⠀⢠⠇⠀⠀⠘⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣿⣿⣄⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠈⠙⠛⠻⣀⣠⣧⡟⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀ ⣄⠉⠿⣿⣷⣤⡈⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠑⢤⣀⡀⠀⠀⢀⣠⡴⠋⠀⠀⠀⠀⠀⠀⢸⠻⡄⠀⠀⠀⠀⠀⠀ ⠘⢷⣄⠘⠻⢿⡿⣷⣄⡈⢻⣖⡲⢤⣀⣀⣀⠀⠀⠀⠉⠉⠉⠉⢁⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠹⡄⠀⠀⠀⠀⠀ ⠀⠀⠙⠳⣤⣀⠈⠻⣿⣿⣿⣏⠁⠀⠈⠉⠉⠙⠒⠚⠚⠲⠖⠋⠉⢿⠓⠋⠓⠦⣀⣠⠋⠲⣜⠄⠹⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⢉⠏⠀⣴⠛⠛⠓⠶⣶⢸⡟⠓⠤⠼⠛⠒⠛⠉⠉⠓⠾⠋⠙⠒⠲⠧⠤⣜⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠀⢸⠁⠀⠀⠀⢠⣷⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡃⠀⠘⡆⠀⠀⠀⢸⡀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⣰⠃⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣶⡶⢶⣤⣤⣴⣿⠳⢦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⠟⠋⠉⠉⠉⠛⠮⣓⢤⣉⣷⣟⡺⢿⣳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⡶⢶⡶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣻⠞⠁⡴⠖⠛⠛⢻⣿⠀⠀⠈⠙⠺⠿⠞⠙⢦⡉⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣶⣿⣤⡾⣷⣟⣷⡀⠀⠀⠀⠀⠀⠀⣰⢟⡾⠁⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠈⠉⠈⠻⡷⠿⢿⡌⢻⣦⠀⠀⠀⠀⣼⢫⡟⠀⠀⠀⠀⢀⣠⡴⢋⣤⠶⣾⠋⠉⠉⠉⣿⣦⡀⣀⣼⣇⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣆⣿⣷⡶⣤⣰⣏⡞⢀⣠⣤⠴⠞⠋⢁⣾⠏⠀⠚⣹⡀⠀⣄⠀⢠⡄⢳⡏⢧⡻⡙⠻⣅⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⡿⣿⣏⣷⣈⠙⠿⣷⡶⠶⠦⣤⣄⣰⣿⣿⠅⠀⠀⠻⠃⠀⠘⣦⡼⠃⠈⣿⢦⡙⣮⣄⠘⢷⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠛⢿⣿⣿⣿⣾⠓⣦⣀⠙⠳⢦⣄⠈⢹⡟⠙⠁⠀⢀⣀⡀⠀⠐⠟⠁⢠⣄⣿⢷⣝⠁⠀⠀⠀⣿⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠉⣧⣴⡾⠟⣻⣿⣦⣄⠉⠻⢾⣧⣤⡀⠀⠈⠉⠛⠒⣒⣒⡞⠉⢰⡟⠀⠉⠳⢦⢤⠴⠃⠀⠹⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⡟⣉⠔⢚⣯⠽⠻⣿⣿⡶⣤⣈⠻⣿⣦⡀⠀⠀⠀⠉⠉⠀⣠⠿⢤⣤⣀⣀⢸⡆⠀⠀⠀⠀⠘⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⢊⣡⣾⠿⣿⡿⣿⣷⠟⠉⢳⣌⠛⢯⣁⠀⣤⣤⡴⠊⣷⠀⠀⠀⠈⠉⠙⠻⡀⠀⠀⠀⠀⢸⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⠁⠀⠈⢳⡞⠁⠀⠀⠀⠳⢷⣄⠹⣍⠉⠉⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠹⠀⠀⠀⠀⣸⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣦⡀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠈⠱⣎⠳⣄⣇⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠞⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠛⢷⡠⣷⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠑⢌⢻⡀⠀⠘⣧⠴⠶⠶⠶⠒⠛⠋⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡟⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⢹⠀⠈⠳⡑⣄⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⢸⡄⠀⠀⢿⢎⢆⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⣼⢻⣆⠀⠀⠀⠀⠀⢸⡇⠀⠀⢸⣬⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⣸⡟⢼⠉⠙⠓⠶⠶⠤⠼⠃⠀⠀⠈⠁⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣆⡀⠀⢠⡟⠻⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠛⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⡀⠉⠛⡛⠳⢦⡏⠙⠓⠶⠤⠤⣤⠤⠴⠶⠚⠋⠁⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡸⡆⢻⡛⢻⠇⠀⠀⠀⠀⠀⠀⠀⣴⠂⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢿⣜⡇⣿⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⡇⠀⠀⠀⠀⠀⠀⣰⢿⡀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⢀⡟⢸⡇⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⣼⠃⢸⡇⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⣸⠏⠀⢸⠃⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣰⠏⠀⠀⢿⣄⣀⣀⣀⣀⣸⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠓⠲⠶⣶⡞⠉⠀⠀⠀⠘⠷⠬⢯⣍⣉⠀⠈⢙⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣄⣤⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠿⠲⠶⣦⣤⣀⣠⡴⡶⠶⠻⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣾⠛⡟⠘⢾⣶⣦⣀⣈⣿⣝⠛⠫⢷⣦⣀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣾⠋⠃⢠⣤⣶⣬⣿⣽⣿⡟⠛⢛⣷⠒⢤⡙⢿⣻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⡟⠀⠀⢸⣿⡴⣦⣬⣿⢯⣍⡻⢶⡄⠻⣦⣉⢷⣽⢷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⡿⠋⠀⢀⡀⠈⠉⣿⣧⣿⣶⣤⠘⢣⣴⡞⣶⣇⣸⣧⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⡿⠁⠀⠰⠟⣿⣆⠀⠻⣿⣿⣿⣿⣷⣾⣯⣷⣿⣿⣿⣿⢻⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⠁⠀⠀⢀⣴⣿⠈⣷⣄⠁⠀⠿⢿⣿⣧⡙⠦⣝⡷⠿⢿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡀⠀⢠⡿⠿⣿⣧⠈⠻⠿⣦⡀⢸⣿⣿⣿⣷⣾⣷⡾⠿⠛⠋⠛⠳⠦⠤⢤⣄⣠⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾ ⢻⣇⠀⠀⡿⠁⣰⣿⣿⣷⣦⣤⣬⣙⠚⠻⣿⣿⣿⣿⣿⣿⣶⡀⢤⡤⠒⠈⠁⠀⢩⣅⠙⠛⠻⢶⣶⣦⣤⣤⣤⣄⣀⣀⠀⠀⠀⢀⣠⣤⢾⣿⡟ ⠀⣿⠀⠀⡇⢀⠏⢠⡿⠋⠉⣻⢿⣿⣿⡦⠀⢻⣍⣼⣃⣽⣯⠇⣠⢶⡷⢦⡀⠉⠉⠀⠋⠳⠦⠉⠡⠤⣄⠈⣁⢬⡙⠫⠭⠟⠻⠋⣩⣷⣿⠏⠀ ⠀⢻⣶⡀⢧⠈⢸⡾⠀⠰⢫⣶⡿⠻⠻⣷⡀⠀⢩⣬⣏⣩⣯⡞⣡⠛⠀⢨⢷⡀⠘⢷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣾⣿⡿⠟⠁⠀⠀ ⠀⠀⠹⣿⣾⡇⠸⡄⠀⠀⣿⣿⠀⠀⠀⠀⠙⢶⣤⣀⡴⠞⡀⠀⠀⠀⠀⠈⣆⢧⡀⠀⠀⠀⠀⣀⣤⣤⣦⣶⣶⡶⠿⣛⣡⡾⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠿⣿⣶⣷⣄⠀⢻⢿⡆⠀⠰⣤⣤⠄⠈⠉⠁⣸⠃⡀⠀⢀⡇⠀⠀⠘⣿⣄⣷⣿⠾⠛⠛⣉⣁⣤⣴⠶⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣤⣄⠀⢸⣿⣌⢿⡟⠀⠘⢿⣶⠂⢰⣍⠀⠀⠀⢰⣿⠀⡇⠀⣼⡇⠀⠀⠀⢸⡋⠉⠀⢀⣴⡟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣿⣷⣏⠳⣼⣄⣿⣦⡙⠦⣀⠀⠻⣄⠀⢿⣄⣀⢀⣾⡇⠀⠇⠀⣿⠃⠀⠀⠀⡼⣇⣠⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣿⣿⣾⠟⠻⠦⢿⡟⡿⣦⣈⢳⣤⠟⣷⠛⠛⠋⠛⣻⡇⠀⡄⠀⢿⡆⠀⠀⢰⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠛⢿⠀⠀⠀⠀⢼⡃⣷⢿⡏⢿⣥⣶⣯⣿⠀⠀⠀⢻⣷⠀⢹⡀⠈⢧⠀⠀⣾⡷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢷⣝⡾⣿⡜⠾⢷⣾⠿⢤⣄⣴⠶⠿⢷⣼⣇⢤⡀⠀⠀⢻⣇⠸⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣧⡀⠀⠘⢾⣷⣤⡀⠀⠀⠀⠀⠘⢻⣌⠻⣦⡄⠈⠛⠀⠹⣟⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⠗⢀⡀⠉⣸⡇⠀⠀⠀⠀⠀⠀⠉⠳⢶⣝⢦⡀⠀⠀⢿⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡼⠟⠀⡼⠁⡆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⢳⡄⣤⡘⠂⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⣠⡴⢟⡫⢦⠞⡴⠃⣰⣷⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⣸⡇⢻⢳⣳⡻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⣿⣍⠙⠏⢘⣯⡶⣻⠋⠀⠀⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣦⢿⡇⢸⡀⣧⠳⢎⡻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡟⠿⠁⣸⠀⣠⣿⣿⡿⢦⣠⣰⣾⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣯⣄⢹⣿⣤⠈⡇⢹⣇⡀⠙⢏⡛⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⡧⠴⠶⠿⠴⢿⡏⠏⠀⣸⣇⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠋⢹⣿⣿⢡⠞⠿⢾⣿⡿⠀⡾⢻⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⠗⠚⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣤⡤⠶⠾⠿⠻⣿⠀⠘⢀⡿⠷⣴⣇⣀⡙⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⣤⠟⠁⠀⠀⠀⠉⠉⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⣀⣀⣀⢀⣀⣀⣀⡀⠀⠀⣀⣀⢀⣀⡀⠀⠀⢠⠠⠄⡀⠠⣤⠤⠠⡄⠠⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠙⠛⠛⢛⠛⠛⠓⠘⠚⠓⠉⠃⠋⠀⠀⠚⠒⠁⠓⠛⠓⠒⠒⠂⠒⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠸⣿⣿⣟⠀⠀⡄⠀⠀⣠⣔⠊⠁⢀⣿⣿⣿⣶⡀⢀⣨⣿⣶⡄⠀⢉⣶⣤⣀⠀⠀⠈⠳⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣅⣀⠂⣤⡴⣾⣏⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⡇⠈⠙⠢⡀⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⣿⢥⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠈⠳⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣤⡟⠛⠛⠻⡿⠿⡿⠿⢿⡿⠿⠿⢿⣿⠻⠻⠟⢻⡟⠛⢯⣀⣀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⣸⣇⣸⠇⠂⠐⣀⣸⠇⡀⠀⢤⡏⠀⠀⠠⢘⣧⣄⢀⣘⣯⠉⠉⢳⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣤⣿⣀⣿⣠⢠⠃⢼⣿⢀⡁⣀⣸⣗⣀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡈⢆⠀⠀⠀⠀⠀⠀⠀⠀⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣧⠙⣿⠿⡿⢿⣿⣿⡟⠛⠛⠿⠿⠿⠛⢻⣿⠿⢿⠿⢖⠛⢳⣿⣿⣿⣿⠇⢢⡝⢦⠀⣀⣀⣀⣤⣶⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣆⠺⣦⣱⣀⣉⡨⠙⠀⠀⠀⠀⠀⠀⠊⠈⢦⣈⣡⣞⣠⠿⣿⣿⣿⣿⠀⢸⣷⢷⢻⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣆⠈⠉⠋⠉⠀⢂⣀⠤⠐⠒⠀⠤⣈⡑⠒⠀⠈⠉⣀⡴⣿⣿⣿⣿⠀⢸⠀⢸⢿⣽⣿⣿⣿⣿⣿ ⣄⠀⠀⠀⠀⡠⠶⣿⣿⣿⡟⢻⣿⣿⣿⡄⠀⠒⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠒⠉⠁⠀⣿⣿⣿⣿⠀⠸⡀⠈⣾⣿⣿⣿⣿⣿⣿ ⠀⠑⢄⣠⠺⢤⣀⠈⠛⢿⣿⣽⣿⣿⣟⠙⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢼⣿⣿⣿⣿⠀⠀⡇⠀⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠉⠀⠀⠙⣿⣿⣾⣻⣶⣿⣿⣿⣶⣪⣧⡀⠀⠀⠀⠀⣴⣲⡄⠀⠀⠀⠀⠀⢀⠔⠁⢸⣿⣿⣿⡟⠀⠀⣧⠀⢸⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⡿⢻⣿⣿⣿⠃⣿⣿⠓⢤⣀⠀⠈⠉⠋⠀⠀⣀⣤⠶⠋⠀⠀⣾⣿⣿⡿⠁⠀⢠⣿⣦⣼⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡇⠈⢿⣿⣿⠀⢻⣿⠀⠀⣨⣑⠦⣄⣤⢖⣺⣏⠁⠀⠀⠀⢰⣿⣿⣿⠇⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠁⠀⢸⣿⣿⣇⠘⣿⣧⢔⢁⣜⡷⡏⠙⢢⡈⡹⣧⠀⠀⠀⣾⣿⣿⡏⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⣿⡟⢿⡟⢦⣿⠻⣼⡾⠋⢀⡿⣄⡀⣿⣾⠟⠁⠀⡼⣻⣿⢻⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣯⠄⣸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠸⣄⣿⠁⠈⠻⠴⢿⡇⢣⠀⢠⢘⣇⠀⢸⣰⠉⢆⠀⠈⣰⣿⠋⢸⠀⠀⠀⣿⣿⣿⣿⣿⡿⠛⠁⠀⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⢹⣿⣷⣄⡀⠀⠀⣧⠀⢳⠛⠀⡏⠉⠙⣿⠀⠀⢣⣠⢛⡟⠀⣾⠀⠀⠀⣿⣿⣿⡿⠋⠀⠀⠀⢠⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⢻⠉⠻⢿⣦⣾⢻⡀⠀⢹⢀⠇⠀⠀⡿⡇⠀⠺⠁⣸⢷⣀⣿⠀⠀⢠⣿⡿⠋⠀⠀⠀⠀⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⣼⠄⣀⠀⠀⠀⠀⠈⢷⠞⠋⠁⠀⠈⣇⠀⢸⢸⠀⠀⠀⡇⢿⠂⠀⢀⡿⠀⠙⣗⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⡿⢿⣿ ⠀⠀⠀⠀⠀⣰⠻⡀⠈⢳⣦⣄⠀⠀⠘⣆⠀⠀⠀⠀⠸⡄⠘⢸⠀⠀⠀⣷⣸⠀⢠⣼⡀⠀⠀⢹⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⢀⠀⣠⠃⠀⢧⠀⠸⣿⣄⠉⢲⣤⣘⣦⡀⠀⠀⠀⣷⠧⢼⠀⠀⠀⢘⣧⠀⢺⡏⠀⠂⠀⢸⣄⣀⣘⡆⠀⠀⠀⠀⠀⡀⣤⣴⣶⣿

⠀⠀⠀⠉⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣆⠀⠀ ⠀⠀⠀⠀⠀⠑⣦⣄⡀⠑⠦⢄⣀⣀⣀⡀⠀⠀⠞⠉⠛⢛⣻⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⣠⣶⢯⣉⠁⠀⣠⣾⡿⠿⠟⠁⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⠛⣡⣾⣿⣿⣿⣿⣿⣿⣿⢿⠄⠹⡟⣿⠇⠀⢠ ⡀⠀⠞⠁⣠⠞⠁⣀⡾⠋⠁⠀⢀⡄⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠉ ⣟⠢⢄⣰⡧⠤⠀⠁⣀⡄⠀⣴⠋⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣠⠀⠀⠀⡀⠀⠀⠀⠀ ⠘⢦⣤⣀⣀⣠⣴⡾⠋⠀⣼⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⣿⠏⢹⣿⣿⣿⣿⣿⣷⣾⣿⠀⠀⠀⣻⣆⠀⡀⠀ ⠀⠀⣹⠿⠿⠿⠋⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠛⡷⢍⠻⢿⠿⠛⢻⣋⣡⠔⣫⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢠⣿⣿⣦⣧⠀ ⠀⡠⠀⣀⣤⣤⣤⣄⡀⣴⣿⣿⣿⡟⠁⡾⠋⠘⠟⠁⠀⠀⠈⠉⠉⠉⠁⠀⠚⠛⢳⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⢰⡷⠛⠉⠛⢿⣿⣿⣿⣿⣿⢟⡿⢧⣼⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠈⠀⣀⠀⠒⢾⣿⣿⣿⣿⣿⠋⣰⠟⠉⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠫⠗⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⠘⢿⣶⣿⣿⣿⣿⣿⡇⣸⠃⠀⠀⢠⣾⣿⡆⠿⠃⠀⠀⠀⠀⢀⣾⠟⠛⠛⠛⣿⣶⡋⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⡇⡇⠀⠀⠀⢾⣿⣯⡁⡀⠀⠀⠀⠀⣠⠟⢁⣴⣶⣄⠀⠈⠙⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢰⡿⠛⣿⢿⠇⡇⠀⠀⠀⠈⠛⠋⢡⠀⠀⠀⠀⠀⡿⠀⣾⣿⡏⠙⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠘⠃⠀⠁⢸⠀⡘⠦⢄⣀⣀⡠⠴⢋⠀⠀⠀⠀⢀⡇⠀⠘⠛⠛⠀⠀⠀⠀⠀⣹⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠆⠈⡆⠀⠀⠀⠀⠠⠋⠀⠀⠀⠀⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠙⣶⣿⣿⣿⣿⣿⡿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠂⠤⠤⠤⠤⠔⠉⠀⠘⠿⢿⣿⣿⣿⣿⠀⣿⣿⠿ ⠀⠀⠀⠀⠀⠀⣠⠔⠋⠹⡀⠀⠀⠀⣴⣿⣭⣑⡒⠒⠤⠤⢄⣀⡀⠀⠀⠀⢠⠄⠀⢂⡀⠀⠀⠀⣠⡼⢟⣽⠏⢀⣼⣿⣧⡀ ⠀⠀⠀⠀⡴⠊⠁⠀⠀⢀⣷⡀⠀⠀⢿⣿⠟⠉⠙⠛⠷⠶⢶⣦⢬⣷⠀⠀⠀⠰⠄⠈⠁⠀⠀⠀⠻⠾⠛⢁⡴⢯⢩⣿⣷⣶ ⠀⠀⢀⡞⠀⠀⠀⠀⢠⠞⡸⠻⣄⠀⠈⠻⢴⡀⠀⠀⠀⠀⠈⠻⣾⡟⠀⠀⠀⠀⠀⠀⢀⣴⠶⢦⣤⠤⢶⠏⣰⣿⣿⣿⣿⣿ ⠀⠀⡜⠀⠀⠀⠀⢠⠏⢠⢇⠇⠈⠣⡀⠀⠀⠉⠓⠢⠤⠤⠖⠚⠉⠀⠀⠀⠀⢀⣠⡴⢋⡿⠀⡼⠁⡰⢃⢼⣿⣿⣿⣿⣿⣿ ⠀⢰⠁⡔⠀⠀⠀⡞⠀⡞⢈⠀⠀⠀⠈⠲⣄⡀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣾⠿⠋⠀⣼⢃⡼⠛⠈⢠⢊⣾⣿⣿⣿⣿⣿⣿ ⢀⡇⠀⡇⠀⠀⢰⠇⠀⣇⠈⢢⠀⠀⠠⣄⠀⢩⣿⣟⠛⠿⢿⣿⣿⣿⣿⠋⠁⠀⠀⣰⣿⠞⠀⠀⢀⠆⣾⣿⣿⣿⣿⣿⣿⣿ ⠸⠀⠀⡇⠀⠀⡸⠀⠀⠸⡏⠉⠙⠻⠷⣾⣷⣸⡇⠈⠳⣄⠀⠀⠈⠉⠀⢀⣠⣴⡾⢫⠏⠀⠀⠀⠜⢠⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⠀⠀⡇⠀⠀⡇⠀⠀⠀⠹⡄⢀⡴⢺⠇⠈⠻⡟⠢⡀⠈⠑⠒⠶⠒⠛⡩⢛⣡⣴⣃⣐⠒⠐⠊⣠⣿⣿⣿⣿⣿⣿⡿⠋⠁ ⠀⠀⠀⣇⠀⢰⡇⠀⠀⠀⢀⡿⠀⠀⡞⠀⡰⠀⠈⠢⣜⠀⠀⠀⢀⡤⢊⡠⠚⠉⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀

⠀⠀⢀⣀⣠⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⢰⠊⠑⡖⠒⡖⠳⡄ ⠀⡼⠁⡇⠀⡇⠀⢹⠀⠀⢀⣠⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⡇⠀⢸⠁⢠⣧⠀⣧ ⣼⠃⠀⡇⠀⢧⠀⠈⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡆⠀⢸⣿⠀⢿ ⣿⠀⢠⣇⠀⢸⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡇⠀⣼⡿⠀⢺ ⣿⠀⢸⣿⠀⢸⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢱⠀⣿⡇⠀⡟ ⣿⡄⠘⣿⠀⠜⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠙⠿⠃⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣤⠀⠀⠈⠀⢰⠃ ⠹⣧⠀⠈⠀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡤⢀⠞⠀ ⠀⠹⣄⠀⠀⣤⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⢀⡀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⢿⣉⠴⠋⠀⠀ ⠀⠀⠈⠓⢤⣀⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣥⣿⣿⣿⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠾⠛⠓⢢⡄⠀⠀ ⠀⠀⠀⠀⡤⠖⠛⠓⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣿⠟⠁⠀⠀ ⠀⠀⠀⠀⠳⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⡄⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠛⠛⠛⠋⠉⠉⠉⠛⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⡡⢤⣷⣦⡀⠀⠀⠀⠀⠀⠀⢠⠾⣻⣷⣦⡀⠈⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢸⠁⣿⣿⣿⡿⠀⠀⣀⡀⠀⠀⢾⠸⣿⣿⣿⡇⢀⣿⣿⣿⣿⠿⠛⠁⠀⠀ ⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣦⠨⣷⡽⠿⠟⠁⡀⠘⣿⠛⠀⡄⠀⠓⠺⠟⠛⣣⡾⠿⠛⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠿⠿⠿⠷⢦⣤⣄⠀⠀⠉⡺⣟⣿⣫⠴⠦⣴⢳⣶⡎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⢻⣿⣾⣯⣉⠳⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡿⣡⡿⣭⣍⠁⡼⠒⠀⠀⠀⠀⠈⠀⢿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡷⢿⣹⣈⣙⠙⢧⡄⢀⠀⠀⠀⠀⠀⠀⢟⡟⠉⠛⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡇⠀⡼⢫⣽⣾⡷⢿⣀⠸⣄⣰⣤⣀⡀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣧⣼⣶⣿⣿⣿⠁⠀⠈⠙⣦⣀⢙⣿⣷⣾⣷⡴⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠿⣻⣿⣯⣥⣤⣥⣍⣆⣆⣠⣄⣷⣷⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⣠⠶⣶⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣼⢡⡞⢡⠚⠉⠉⠛⠳⠦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣾⣇⡇⠀⠀⠀⠀⠀⠀⠀⠈⢉⡛⠲⠶⢤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣶⣤⣀⡀⠀⠀⠀⠀⠀⠙⠳⠦⢄⠀⠉⠙⠛⠶⢦⣤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⣏⠙⠳⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢟⣿⣧⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⡿⠀⠀⠈⠑⠯⡙⠻⠶⣤⣄⣀⠀⠀⠀⠀⡞⢠⠟⢡⣶⠽⣦⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠶⢦⣤⣇⣾⣀⢿⠃⢠⢋⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⢠⡟⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠉⢹⡟⠛⠓⠾⠛⠁ ⠀⠀⠀⠀⠀⠀⢀⡾⠋⢠⠟⠀⣠⣴⡿⣋⢠⣶⣶⣿⣗⡀⠀⠀⠀⢀⡟⠀⢸⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠟⠀⣴⠋⠀⢰⣶⣿⣿⡟⣠⣿⣿⣿⣿⡏⠀⠀⢀⡾⠁⢠⣿⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡾⠃⣠⠞⠁⠀⢀⣾⣿⣿⠇⣴⣿⣿⣿⡿⣿⠇⠀⢠⠞⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⠟⠀⣴⠋⠀⠀⢺⣿⣿⡏⠁⢾⣿⣿⣿⠿⠷⠀⢀⡴⠋⠀⢨⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⠏⠀⡼⠁⠀⣤⣤⣾⣿⢿⡇⣷⣴⣬⡿⣻⣿⠆⣰⠎⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡿⠀⣸⠁⠀⠀⢹⡿⠻⣿⡘⠿⠿⣯⣹⡿⠋⢠⠞⠁⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⢰⠏⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⣄⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣿⣉⡿⣦⣀⠀⠀⠲⢔⣲⠤⣀⡀⠀⠀⢸⠃⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢿⣄⡀⠙⠳⣦⣄⡀⠈⠙⠒⠀⠀⠀⢸⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⠷⢦⣴⣭⣻⡶⣤⣀⠀⠀⠀⠈⡇⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣯⣄⠉⠛⠶⢦⣄⣹⣄⠀⠿⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⢦⣄⡀⠉⠉⠛⡻⢋⠟⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠦⣤⣇⣯⢠⣿⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣄⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣾⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⣠⣾⣿⣿⣦⡀⠀⠀ ⠀⣴⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⣿⣿⠟⠁⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣦⡀ ⢸⣿⣿⣿⣿⣿⡇⠀⠀⣿⣿⣿⠟⠁⠀⠀⠀⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠈⠻⣿⣿⣿⣿⡇⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⠋⠀ ⠀⠀⠙⢿⣿⣿⡇⠀⠀⠀⠀⠀⣠⣴⣤⣄⠀⠀⠀⠀⠙⢿⣿⡿⠛⠀⠀⠀ ⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀ ⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀ ⢀⣴⣿⣿⣿⣿⣿⣿⠃⠈⣿⣿⠁⢠⣈⠙⣿⠁⢠⣄⡉⢻⣿⣿⣿⣿⣦⡀ ⢸⣿⣿⣿⣿⣿⣿⠇⠰⠆⠸⣿⠀⢸⣿⠆⢸⠀⢘⠋⢠⣾⣿⣿⣿⣿⣿⡇ ⠈⠻⣿⣿⣿⣿⡟⢠⣶⣶⡀⢻⡀⠘⢉⣠⣿⡀⣸⣷⡈⢻⣿⣿⣿⣿⠟⠁ ⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀ ⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣶⠶⢾⡇⢀⡶⠶⢶⡆⠀⠀⠀⠀⠀⣧⠀⢀⣷⠀⠀⠀⠀⠀⣿⣀⣼⠦⠀⣿⠶⢶⡆⠀⣾⠶⢾⡆⢰⡆⣾⣾⡷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣄⣼⡇⠘⣿⣤⣴⡇⠀⠀⠀⠀⠀⣿⣄⣽⣿⠀⠀⠀⠀⠀⣿⠿⣧⣄⠀⣧⠀⠀⣿⠀⣿⣤⣠⡇⢸⣿⡿⣿⡧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⢈⣋⣉⣉⣀⣀⣀⣀⣀⣉⣀⣈⡛⠀⠃⠀⠀⠁⠀⠈⠉⠉⠁⠀⠉⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣴⡶⠶⠶⠿⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠿⠶⠶⣶⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠾⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⠶⠶⠶⣦⣄⡀⠈⠉⠙⠻⠶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⡶⠿⠋⢉⣀⣥⠶⢶⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠋⠁⠀⠀⣠⣴⣾⡛⠙⢷⡀⠀⠀⠀⠀⠉⠙⠿⣦⣄⡀⠀⠀⠀⠀ ⠀⠀⢀⣴⡿⠋⠀⠀⣰⣿⡋⢀⣀⣼⠇⠈⠙⣷⡀⣀⣠⣤⠶⠶⢤⣤⣀⣀⠀⣿⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀ ⠀⣰⡿⠋⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣤⣶⣀⡼⣿⣟⣉⡃⠀⠀⠀⠀⠉⠉⠻⢿⣦⣀⠀⠀⠿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡄⠀ ⢰⡿⠁⠀⠀⠀⠀⠈⠻⣿⣿⣿⠟⢁⣈⣿⣷⡶⠿⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢶⣤⠶⠟⠋⠉⠉⠉⠉⠛⠻⠶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣶⠋⠉⠉⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣦⣤⣀⣀⡀⠀⠀⠀⠀⠈⠙⢷⡆⠀⠀⠀⠀⠀⠀⣽⡇ ⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⡀⠀⠀⠻⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⠶⠛⠉⠉⠉⠉⠙⠛⠶⠄⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⢠⣿⠃ ⠀⠘⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠷⣦⣤⡈⠻⢷⣦⣀⣀⣀⣀⣀⣤⠶⠞⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⠶⠾⠟⠀⠀⠀⠀⠀⣠⡿⠃⠀ ⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠋⠁⠀⠀⠀⠀⠀⠀⢀⣤⡾⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠻⢶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡶⠞⠋⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠟⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠶⣦⣤⣀⣀⠀⠀⠀⠀⠀⠈⠉⠛⠿⠶⠶⠶⠶⠶⠶⠾⠟⠋⠉⠁⠀⠀⠀⠀⣀⣀⣤⣴⠶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⡷⠶⠶⠶⣶⣶⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⠶⠶⠶⠟⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠠⣤⣠⣴⠦⠀⠂⠀⠀⢉⡉⢁⠀⠀⠀⢀⣦⡠⠀⠄⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢛⠛⣿⠀⣿⣛⣻⣷⠀⠀⠀⠀⢸⣷⣾⣇⡟⠀⣿⣛⣻⡇⢠⣿⣉⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣶⣴⡿⠀⢿⣿⣿⣿⠀⠀⠀⠀⠈⢿⠿⣿⡇⠀⢿⣯⣽⡇⠈⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⢸⣿⠙⣷⠀⢀⡀⠀⡾⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣰⠀⠀⠀⠀⠀⠀ ⢸⣿⢸⠏⢀⡺⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠶⢖⣽⡇⡷⢶⣶⡶⢶⣶ ⣀⢿⣼⠀⡈⢉⡱⠉⠹⠀⡀⡀⠀⠀⠀⠀⣀⣀⠀⠀⢸⡁⠈⠁⠀⠀⠀⠀⠀⠀ ⢻⢸⡇⠈⣉⡇⠀⠀⠠⢨⣈⣽⣦⠄⣠⣾⡭⣍⡡⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⡌⠁⠒⣾⠁⠀⠀⠀⠀⠉⠓⠁⠀⠈⠉⠒⠛⠁⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀ ⡀⠈⢂⠀⡅⠀⠀⠀⢁⢠⠔⠒⢄⠀⢀⡴⠇⠀⠀⠀⠀⣾⣸⡛⠛⢿⣿⡿⢿⣿ ⠃⠀⠀⢢⠉⠑⢄⡀⡞⢀⠸⡆⣀⣉⣉⣠⣤⣲⡆⠀⣰⣿⣧⢳⠒⠈⠉⠀⠀⠉ ⠀⠀⠀⠀⠑⠄⠨⣿⠀⠀⡱⡙⢮⣍⣭⡭⢟⣵⠁⣴⣿⣿⣿⡈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⡏⠈⠀⠈⠛⢅⠒⠒⠚⣛⣽⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⠤⠶⠶⠶⠶⠶⠤⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠛⠃⢀⡠⠄⠀⢀⠀⠀⠀⠀⠀⠀⠤⡀⠀⠀⠀⠀⠀⠈⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠂⢂⣼⡇⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⡃⠀⠀⠀⠀⢀⡾⡿⡀⠐⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⢸⡄⠀⠐⡄⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⡜⢀⣞⢿⡇⢁⣾⣟⡀⠀⠀⠀⠀⠀⢀⠆⠀⣞⠀⣼⢻⠀⠀⡟⡄⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠋⠀⠀⠀⢠⡇⡾⡝⢸⠇⡼⠁⡇⠉⠁⠀⠀⠀⠀⣸⠀⢠⣯⢴⣏⠚⡇⠀⣿⢃⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀ ⠲⣖⣚⠉⢀⣴⠀⠀⠀⢸⢰⠷⠁⠀⣀⣄⣘⠧⡠⠄⠀⣀⣀⢠⠇⣠⡏⣿⠿⠂⠁⣷⢀⡿⡏⠀⠀⠀⠀⠀⠀⠀⢠⠸⡇⠀⠀⠀⠀ ⠀⠀⠉⠉⢹⡇⠀⠀⠀⢸⣾⢤⣴⡿⣿⢿⣿⣿⢦⡀⠀⠀⠀⠉⠘⠋⣹⠏⣀⣀⠀⠙⠸⠃⣿⠀⠀⠀⠀⠀⠀⠀⠈⢷⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⡆⠀⠀⢸⢿⣿⠃⣸⢅⣠⣿⠛⡇⠀⠀⠀⠀⠀⠀⠀⢔⣿⣿⣟⡻⣶⡄⠀⢹⠀⠀⠀⠀⠀⠀⢸⡀⠀⠙⢦⣀⠀⠀ ⠀⠀⠀⠀⢸⠀⡇⠀⠀⢸⡏⡏⠂⢸⡖⠘⠋⢧⡟⠀⠀⠀⠀⠀⠀⢀⣎⣀⣽⢿⠿⡌⢻⣦⣸⠀⠀⠀⡄⠀⠀⢸⡷⢦⣤⣤⣬⠽⠒ ⠀⠀⠀⠀⠸⡇⣹⡀⠀⠘⣿⡇⠀⠀⠙⠲⠶⠊⠀⠀⠀⠀⠀⠀⠀⠈⡧⠖⠛⠫⣵⡇⢈⡿⣾⠀⠀⠀⡏⠀⠀⢸⣇⢣⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⡜⣧⠀⠀⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠮⣤⠤⠞⠀⠈⢀⡇⠀⠀⢰⠇⠀⠀⢸⡇⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣧⡀⠘⣿⣿⣦⣀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠈⠀⢄⡾⠀⢀⡴⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣦⣘⢿⠛⠛⠓⠢⣤⣀⣈⠑⠒⠒⠚⠀⠀⠀⠀⠀⣀⣠⣴⣾⠇⠀⣠⣾⣋⠔⣫⡾⠹⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠀⠀⣼⣿⣏⢻⣿⣟⠟⠛⠛⣻⣟⣻⣿⡿⣿⡿⠋⣀⣼⡿⣙⣦⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣏⣿⡇⠈⠑⠒⢹⣿⢧⣿⣯⣿⡿⠗⠋⠑⠞⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⣿⢷⣿⣯⣼⣶⢶⣦⣾⣿⣻⣞⣿⡟⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣟⣺⣿⢎⢿⣿⣽⣻⣾⢿⣽⣿⣷⡯⣳⠹⡜⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⣻⣴⣿⢾⠚⢻⣿⣞⣧⣼⡿⣞⣿⠧⢿⡵⣫⠝⣖⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣷⣚⣼⣏⡾⣂⣿⣿⣽⣻⣟⣿⣿⣿⣤⢬⢿⡵⣛⡜⢶⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⣠⠭⢿⢿⣰⣏⣿⣯⠿⣽⣿⢯⣿⣽⣧⣛⡞⣿⡵⡾⣏⣳⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡹⣅⢀⡿⠯⣟⣿⣿⣧⡭⣿⣿⡁⢈⡷⣻⣷⠟⠋⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠷⣏⢾⣷⣮⣿⣿⣿⣷⣻⣽⣿⢮⣝⢶⣻⣟⠉⠓⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⣬⣿⡟⠛⠛⠛⠻⡽⡿⠿⢿⣚⢬⢳⣜⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⢰⠀⡇⠀⠘⠛⢻⠯⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⢸⠂⡇⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⢀⣸⠃⢹⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡯⠭⡯⣹⠁⢸⣖⢶⡶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠒⠉⠁⠀⠘⠦⠭⠵⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣠⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⠛⣿⠟⠛⠛⠁⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⣿⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⢿⣿⣦⡀⠀⠀⠀ ⠀⠀⣿⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣀⣠⣾⣿⣿⣷⠀⠀⠀ ⠀⠀⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⣠⣿⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀ ⠀⣿⣿⠀⢠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠀⠀ ⠀⣿⣿⠀⠀⠀⠈⠉⠉⠛⠛⠛⠿⠿⣿⣿⣿⣿⠿⠿⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀ ⠀⢿⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⡄ ⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⣿⣿⣿⣿⡇⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⣿⣿⣿⣿⡇⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛ ⠀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣿⣿⣷⠀⣿⣿⣿⣿⡇⢸⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠀⠛⠛⠛⠛⠁⠘⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣠⣀⠀⠀ ⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢍⣹⡀ ⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⢩⠃ ⠸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣔⣿⣿⣆⠀⠀⢀⢼⣿⡟⠀ ⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢷⢛⣿⣴⠒⢫⣿⠟⠀⠀ ⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⢿⣋⡸⠃⠀⣿⠏⠀⠀⠀ ⠀⠀⠀⢻⣆⠀⠀⣀⢤⣶⣝⣡⣶⣿⣍⣉⣀⡀⣰⡇⠀⠀⠀⠀ ⠀⠀⠀⠐⢿⣧⡸⠷⠾⠋⠉⠀⠀⠀⢻⣯⣁⢀⣾⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⠂⠀⠀⠀⠀⢀⣀⣤⣾⣿⣿⣿⣿⣶⠋⢁⡆⠀ ⠀⠀⠀⠀⠀⣀⣀⣠⣤⣔⣊⣁⣠⣞⣿⣿⣿⣿⢿⣿⡿⢹⠇⠀ ⠀⣠⣤⣊⣉⣀⣀⣽⡿⠿⠿⠿⡛⡼⠇⠀⠈⠀⣾⠟⢁⡎⠀⠀ ⡔⣋⠿⠛⠿⠛⠉⠁⠀⠀⠀⠀⠈⠁⠀⠀⠀⢘⠿⠞⢟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠉⠀⠀

⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀ ⣿⣿⣟⢿⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣿⠹⣿⣿⣹⡟⣿⣿⢿⢿⣿⣿⠟⠻⢿⣿⡿⡿⣿⣛⠿⣿⣿⣿⣿⠿⣿⣿⠀ ⣿⣿⣿⣷⣌⢻⣿⣿⠿⠉⠻⣯⣹⣿⣿⡇⠉⠃⠰⣅⣸⣿⣿⣯⠽⠛⠉⠉⠛⠟⠛⢻⣿⣿⣿⣿⣿⣿⠭⣝⡶⣿⠀ ⣿⣿⣿⣿⣯⠉⠉⠁⠀⠀⠀⠈⠉⠉⢹⠃⢀⣴⣾⣿⣟⣿⣿⣷⣴⠊⡀⠀⠀⠀⢳⣽⡿⢿⡿⡟⠀⠀⠁⠀⠉⢻⠀ ⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣤⠞⣹⣿⣿⣿⠋⡼⢹⠃⣼⠁⣀⣼⣆⠀⣿⣧⠀⢹⣧⠀⠀⠀⠀⠀⢸⠀ ⣿⣦⣭⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠚⣋⢹⠃⢸⠃⣾⢰⣧⠀⣿⣿⣿⣀⣘⣿⣆⠀⢻⣧⡀⠀⠀⠀⢸⠀ ⣿⢿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⠟⠉⡏⢀⣼⣴⣿⣿⣇⠀⢻⠛⣿⣿⣷⣿⣿⡇⢸⡏⢳⣄⠀⠀⢸⠀ ⣿⣶⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⢰⡇⠈⡿⣿⣿⣿⣿⣦⣸⣿⣿⣿⣯⡹⣿⣇⢸⣿⣾⢉⢧⣦⢸⠀ ⣧⣈⡉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠀⢀⣿⣇⣸⢷⣿⠹⣿⣿⠀⠙⠧⢿⣿⣿⡗⢻⣿⡟⠹⣿⠀⠌⣿⣿⠀ ⣷⠢⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣇⢸⣿⠹⣿⣈⡏⠉⠻⠟⠀⠀⠀⠀⠉⠉⠀⣾⣿⡧⠔⠃⠀⠀⣿⣿⠀ ⣟⠙⠋⠉⠓⢆⠀⠀⠀⠀⠀⠀⠀⣠⠞⠙⣿⢻⣿⠀⠈⣿⢧⣀⠀⠀⢰⡏⠉⣳⠀⢀⡴⢿⣿⡄⠀⠀⠀⣰⠋⣿⠀ ⡿⠏⠙⠋⠀⠈⢇⢀⣠⠤⣤⡀⣼⠁⠀⠀⠈⢷⣿⣦⠀⣿⣞⣈⣽⣶⣶⡿⠿⠛⠛⣿⣷⣶⡌⠀⠀⠀⠀⢀⣉⣿⠀ ⣏⠉⣀⣠⠤⠄⣼⠋⠀⠀⠀⢙⣇⠀⠀⢀⣀⡀⠈⠀⠀⢨⠟⠁⠒⢻⣟⣡⣴⣋⠙⢿⣿⣿⣿⣦⡀⠀⢀⣀⡈⢹⠀ ⣿⣉⣤⣤⠶⠚⠁⠀⠀⠀⠀⠐⣟⠛⣿⡏⢹⡇⠀⠀⠀⢸⠀⠀⠀⠡⣿⠷⠤⠈⠀⠈⢻⣿⣿⡿⢿⡶⣾⣾⣿⣿⠀ ⣿⣛⣯⢴⣶⠏⠀⠀⠀⠀⠀⠀⠹⡄⢻⣷⣸⠇⠀⠀⠀⣈⡇⠀⠀⡼⣿⡉⠁⠀⠀⢠⠟⠉⠀⣠⠚⢳⠈⠛⠻⣿⡂ ⣿⣭⢖⣫⢄⣠⣶⢖⡤⠀⠀⠀⠀⠻⣿⣾⣿⡇⠀⠀⡼⢿⡃⠀⢺⢧⡈⠹⣄⠀⠀⢻⣖⣦⡴⠁⢀⠞⡏⢻⡿⣿⠃ ⣿⣿⣯⣷⣿⣿⡗⠋⠀⠀⢀⠀⠀⠀⠉⠀⠀⠀⠀⠘⣧⡀⠉⠓⠛⣱⠃⢸⡙⢧⣤⡜⣋⠘⣇⢠⠏⠀⢳⡛⣿⣿⡇ ⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⣦⡀⠙⠉⠻⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⣿⣿⣇⠀⠀⠀⢽⣿⣿⣿⣿⣦⡀⠀⠀⠀ ⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⡇⠀⣦⡀⠙⢿⢿⣿⣿⣿⣦⡀⠀ ⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⡆⠀⠀⠈⢻⣿⣿⣿⣆ ⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣷⣄⣀⣠⣿⣿⣿⠟⠁ ⠀⠀⠙⢿⣿⣿⣿⣿⣿⡿⠃⠀⠻⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀ ⠀⠀⠀⠀⠙⢿⣿⣿⣿⣇⠀⠀⠀⣽⣿⣿⣿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣷⣶⣾⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡿⠛⠋⠉⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣯⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⢀⠟⠀⠀⠀⠀⠀⠀⢠⣆⢸⣿⣿⣿⣿⣿⣿⣿⣗⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⣾⠤⡄⠀⡤⢶⣜⡀⠈⠓⢺⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠟⠐⢆⠀⡰⠒⠢⡍⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡷⠄⡴⠘⡄⠀⠀⡹⠶⢶⣿⣿⣿⡿⣫⠽⡹⣿⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣇⡎⣀⠀⠈⠉⠉⠀⠀⠨⣿⡿⠟⢺⡿⠀⣵⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣋⠈⠛⠁⠀⠀⠀⠀⠀⣸⣿⠀⠀⠫⠀⣼⠏⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡜⣿⣶⣤⣀⠀⠀⠀⠐⠿⠋⠀⠀⣠⣾⢣⣤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠇⢟⣛⡩⠎⠀⠀⣀⣀⣠⣤⠴⠚⠋⡡⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠼⣏⠀⠀⠀⢸⡁⠀⠀⠀⢀⣠⣪⣾⣿⣿⡇⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⣄⣉⣷⡶⣖⣟⣁⣤⣴⣾⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⢀⠀⠀ ⠀⠀⠀⠀⣀⣴⣾⣿⠈⣿⣿⣷⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴ ⢀⣴⣾⣾⣿⣯⣿⣿⣾⣿⣿⣏⡭⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣿ ⣿⣿⣿⢯⣿⣯⡟⣿⡿⢹⣿⣿⣴⣿⣿⣿⣝⣿⣿⣫⣿⣿⣿⣷⣿⣿⡟⣿⣿⣿ ⢫⣿⣟⣿⣿⣿⣿⣿⡤⡾⢺⣿⣿⣿⣿⣷⣿⣿⡾⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣿ ⣾⣿⣿⣿⣿⣿⣿⣿⡇⢤⣾⣿⣿⣿⣿⣿⣿⣯⣾⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿

⠀⠀⠀⠀⠀⢉⡟⠉⠉⠁⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠹⠏⠉⠉⠉⠙⠻⢍⠉⢯⡙⠯⣍⡉⠉⠉⣹⠟⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠂⠀⠀⣀⠠⠀⠈⠉⠁⠠⠐⢄⠀⠁⠀⠙⢷⣄⠙⣆⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠊⠉⠀⠀⢀⠔⠀⠀⠀⠀⠀⡼⠀⠀⠀⢀⡇⠀⢀⠀⠀⠀⠀⣅⠀⠱⠀⠀⢆⠀⠻⡷⣘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠟⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⢸⠃⠀⠀⡇⢸⡇⠀⠸⠀⠐⡆⠀⢹⠀⠀⡇⠀⢸⠐⡄⠹⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠄⠀⠀⢠⡟⠀⠀⢀⠀⠀⢀⣾⠀⡄⢠⡇⣼⡇⠀⠀⡇⠀⣷⠀⢸⠃⣤⡇⠀⢸⠀⠸⡀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⠁⠀⣾⠋⠀⠀⡜⣹⢰⠁⡸⠃⣿⡇⠀⢠⡇⢀⣿⠀⣞⣼⣿⡀⠀⣸⠀⡄⢧⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⡜⠀⠀⠀⣼⢿⣿⡟⣤⡇⢰⣇⢻⠀⣼⠀⣼⠻⣶⣿⠏⢻⣇⣰⢿⡸⡇⡘⢧⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡼⠁⠀⢀⣼⣿⡿⠛⣻⣟⣿⣟⡛⠚⠳⣿⣠⠃⡠⠛⠓⣒⣿⡟⠓⣾⠃⣷⠃⢸⢾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠀⠀⣠⠞⠀⠀⣠⣎⠈⣧⠀⡾⠋⢻⣿⡿⠛⠀⠀⠘⠇⠀⠀⠟⢺⣿⡿⠙⣿⠟⣼⠏⠀⣾⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢀⣴⠏⠀⠀⡰⠁⢻⠀⠈⢣⡀⠀⠘⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠃⠰⢫⣾⣿⣞⣼⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⣿⠀⠀⣠⠃⠀⠈⣇⠈⢷⠙⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⠀⠀⠀⢀⣾⣿⣻⣿⣿⢿⣿⣿⣿⣿⣿⣷⣀⣤⣄⣀⣠⣴ ⠀⠀⠀⠸⣆⠀⢻⡀⠀⠀⠘⣆⣸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠾⠁⠀⢀⣴⣎⣴⠟⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠹⡿⡈⢷⡈⢆⠀⠘⣿⣽⣷⣄⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⢀⣼⣿⣯⢿⡆⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠛⠛⢦⣳⣬⣳⡄⠹⣦⡁⠉⠃⠀⠀⠀⠀⠉⠋⠉⠀⠀⣠⣾⣿⠏⣼⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠄⠀⠒⠒⠒⠧⣄⠀⢙⣷⣷⡿⣦⣵⣾⣂⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠙⠺⣭⣿⡕⠀⠉⠉⠈⠳⣦⣄⣀⠀⢀⣠⡞⣿⣿⣿⣿⣿⢿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡽⠁⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⠇⡿⡟⣿⣯⡿⣿⣾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣰⢿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⠈⠛⢧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠠⠤⣤⣤⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠈⢳⣵⡄⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⣀⢬⣬⣩⣥⡄⠀⠀⠀⠀⠈⠓⠤⣀⠀⠀⠀⠀⢇⠀⠻⡇⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢈⠈⣉⣩⡜⠀⠀⠀⠀⠀⡇⠀⠀⠈⠑⠦⡤⠄⣈⠀⣀⡇⠀⠀⠀⠀⠀⢀⡤⠚⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠁⠙⠈⠁⠀⠀⠀⠀⠀⣷⣤⣄⣀⣀⠀⠈⠢⡀⠀⢰⠃⠀⠀⢀⡤⠖⠉⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢣⠀⠀⠈⠻⣿⣦⡙⣤⠏⠀⣠⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢇⠀⠀⠀⠈⠻⢿⣧⣤⣾⡿⠛⡆⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠘⡆⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣧⣤⡀⠀⠀⠀⢰⣴⣿⡁⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢀⡎⠀⡀⠀⢘⣄⣴⣿⣿⡿⢻⣿⣿⣧⠈⣿⠟⠁⠀⠀⠀⢸⡏⢻⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

💕🐾 🐾💕bingo bingo baby!🍥

⠀⠀⠀⠀⠀⢀⣀⢠⣴⣶⣶⣶⣆⣤⣄⣀⠀⠀ ⠀⠀⢀⣤⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠆ ⠀⢀⣺⣿⣿⣿⠿⣛⣭⣥⣴⣤⣬⣍⠛⠉⠀⠀ ⢀⣿⣿⣿⡿⡡⣚⣭⣵⣶⣦⣭⣙⠃⠀⠀⠀⠀ ⢸⣿⣿⣿⢁⣾⣿⠿⢛⣋⣉⣉⣉⣓⣠⠀⠀⠀ ⢸⣿⣿⡏⢸⣿⢇⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⢸⣿⡿⠁⣸⣿⡸⣿⣿⣿⡉⠀⠉⢻⣿⠀⠀⠀ ⠚⠋⠀⠀⣿⣿⣿⣮⢻⣿⣿⣷⣆⠀⣿⠀⠀⠀ ⠀⠀⠀⢀⣿⣿⣿⣿⡇⢿⣿⣿⣿⡄⠉⠀⠀⠀ ⠀⠀⠀⠉⠛⠛⠛⠋⠁⢸⣿⣿⣿⣿⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠿⠿⠿⠛⠁⠀⠀

𝐘𝐨𝐮 𝐚𝐫𝐞 𝐦𝐲 𝐬𝐮𝐧𝐬𝐡𝐢𝐧𝐞 𝐌𝐲 𝐨𝐧𝐥𝐲 𝐬𝐮𝐧𝐬𝐡𝐢𝐧𝐞 𝐘𝐨𝐮 𝐦𝐚𝐤𝐞 𝐦𝐞 𝐡𝐚𝐩𝐩𝐲 𝐖𝐡𝐞𝐧 𝐬𝐤𝐢𝐞𝐬 𝐚𝐫𝐞 𝐠𝐫𝐚𝐲 𝐘𝐨𝐮'𝐥𝐥 𝐧𝐞𝐯𝐞𝐫 𝐤𝐧𝐨𝐰, 𝐝𝐞𝐚𝐫 𝐇𝐨𝐰 𝐦𝐮𝐜𝐡 𝐈 𝐥𝐨𝐯𝐞 𝐲𝐨𝐮 𝐏𝐥𝐞𝐚𝐬𝐞 𝐝𝐨𝐧'𝐭 𝐭𝐚𝐤𝐞 𝐌𝐲 𝐬𝐮𝐧𝐬𝐡𝐢𝐧𝐞 𝐚𝐰𝐚𝐲 𝐓𝐡𝐞 𝐨𝐭𝐡𝐞𝐫 𝐧𝐢𝐠𝐡𝐭, 𝐝𝐞𝐚𝐫 𝐀𝐬 𝐈 𝐥𝐚𝐲 𝐬𝐥𝐞𝐞𝐩𝐢𝐧𝐠 𝐈 𝐝𝐫𝐞𝐚𝐦𝐞𝐝 𝐈 𝐡𝐞𝐥𝐝 𝐲𝐨𝐮 𝐈𝐧 𝐦𝐲 𝐚𝐫𝐦𝐬 𝐖𝐡𝐞𝐧 𝐈 𝐚𝐰𝐨𝐤𝐞, 𝐝𝐞𝐚𝐫 𝐈 𝐰𝐚𝐬 𝐦𝐢𝐬𝐭𝐚𝐤𝐞𝐧 𝐒𝐨 𝐈 𝐡𝐮𝐧𝐠 𝐦𝐲 𝐡𝐞𝐚𝐝 𝐚𝐧𝐝 𝐜𝐫𝐢𝐞𝐝 𝐘𝐨𝐮 𝐚𝐫𝐞 𝐦𝐲 𝐬𝐮𝐧𝐬𝐡𝐢𝐧𝐞 𝐌𝐲 𝐨𝐧𝐥𝐲 𝐬𝐮𝐧𝐬𝐡𝐢𝐧𝐞 𝐘𝐨𝐮 𝐦𝐚𝐤𝐞 𝐦𝐞 𝐡𝐚𝐩𝐩𝐲 𝐖𝐡𝐞𝐧 𝐬𝐤𝐢𝐞𝐬 𝐚𝐫𝐞 𝐠𝐫𝐚𝐲 𝐘𝐨𝐮'𝐥𝐥 𝐧𝐞𝐯𝐞𝐫 𝐤𝐧𝐨𝐰, 𝐝𝐞𝐚𝐫 𝐇𝐨𝐰 𝐦𝐮𝐜𝐡 𝐈 𝐥𝐨𝐯𝐞 𝐲𝐨𝐮 𝐏𝐥𝐞𝐚𝐬𝐞 𝐝𝐨𝐧'𝐭 𝐭𝐚𝐤𝐞 𝐌𝐲 𝐬𝐮𝐧𝐬𝐡𝐢𝐧𝐞 𝐚𝐰𝐚𝐲 🌅💫🕊️🧡🔆🌤🌟

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣖⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣯⠟⢹⡞⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠁⠀⡼⠀⠘⣦⠀⠀⢀⣀⣤⣴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠁⠀⠀⣠⣇⣠⠴⠟⠛⠉⠉⡡⠾⠷⠶⠶⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡏⠀⢀⣤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣤⣤⣽⣷⠄⠀⠀⢀⣠⣤⠶⢚⣛⢷⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⣡⠾⡉⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣙⡷⠶⠛⠉⠁⢀⡴⠚⠙⡆⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣿⣫⣾⠓⠀⠀⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠰⠞⠉⠀⠀⠀⢀⣴⠋⠀⠀⠀⡇⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⢀⠀⠀⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣷⣯⡶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣿⠁⠀⠀⣞⠀⠀⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠛⠙⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⢀⣠⠟⢹⠀⠀⡿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⢿⣄⠀⠈⣽⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠖⢫⡿⠀⠉⢀⣰⠏⠀⣸⢣⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⣷⢿⣍⣷⡄⠈⠀⠀⠀⠀⠀⠀⢀⣤⣞⣯⣥⣤⣤⣤⣀⣀⣀⠀⠀⠲⣴⠚⠋⠀⠀⠒⠛⡳⠀⣰⢇⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣁⣤⣿⣾⢯⣅⣀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠉⠉⣩⠽⠿⠛⠛⠛⠻⠦⣄⠀⠈⢳⣦⡤⠤⠶⠊⢀⡶⣣⡞⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡏⢸⣏⠀⠀⠀⠈⠳⣆⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⣤⢻⣦⣤⠴⢚⣩⡾⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋⠹⣇⠈⣿⣆⠀⠀⣀⣠⠿⠀⠀⠀⠀⠀⢀⡴⣛⣹⡟⠀⠀⠀⠀⣀⣀⡀⠀⠀⣀⢸⣾⡇⠙⢿⡉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠋⠀⠀⠀⠈⠀⠘⢮⣿⡉⠉⠁⠀⠀⠀⢀⣠⡴⠛⢓⣭⠛⢀⣠⣶⠚⠉⠛⣏⠉⢳⣦⣿⡾⠋⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⣰⠞⠙⠛⠓⢶⡖⠻⠿⠧⠾⠛⣋⣴⡾⠋⠀⠈⣷⠀⢠⡟⠀⣼⠿⣷⠀⠀⠀⠀⢳⣬⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠉⠓⠒⠒⠚⢛⡟⠉⠀⠀⠠⠖⠋⠶⠋⠀⢸⣇⠀⢸⡆⠀⠀⠀⠈⡟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣸⡇⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⣀⠀⠀⠀⢀⣠⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣀⣤⠾⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡞⠉⠀⢸⡟⠛⠳⣤⣀⣠⣤⣤⠤⠶⠚⠳⠿⢿⣿⡋⠉⣴⠏⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠛⠁⠀⠀⠀⢀⣤⠴⢺⠟⠀ ⣰⣟⣿⠉⠙⢏⠉⠳⡄⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⣧⡀⠀⠀⠙⠆⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⣠⡞⠋⠀⢢⡎⠀⠀ ⢻⡏⠀⠳⣄⣸⣦⣀⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⠀⣴⠋⠀⠀⠀⢸⡇⠀⠀ ⠀⠉⠳⣾⡁⠀⠀⠀⢱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣄⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⣼⠃⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠈⢷⡒⠒⠒⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⡈⠙⠲⠦⠤⠤⠴⢺⡏⠀⠀⢰⠇⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⠋⠁⠀⠀⠀⠈⠻⣦⠀⠀⠀⠀⠀⡼⠁⢀⣰⠇⠀⠀⠀⠀⠀⢀⡼⡇⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠦⣤⣤⡤⠴⠖⠒⠒⠒⠒⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⢰⡟⢲⡿⠃⠀⠀⠀⠀⠠⠔⠉⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⡀⠀⠀⠀⠀⠀⠀⣰⣟⡤⢤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣦⡀⠀⠀⠀⣸⠋⠁⠀⣾⠁⠀⠉⢧⡀⠀⠀⠀⠀⠀⣿⠄⢀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢧⣄⢀⣿⡖⠓⣾⠟⠛⠦⣄⣸⠛⢦⡀⠀⠀⠀⣿⣤⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⡟⠚⠛⠶⢤⣀⡟⠓⢦⡄⣿⠀⠀⢠⡿⠁⠀⠀⠀⠀⢀⣀⣀⣀⣠⡴⠞⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠹⣄⡀⠀⠀⠈⠳⣄⣀⣿⠟⠀⣠⣿⢳⣄⠀⠀⠀⠀⠀⠀⣨⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠉⠙⠒⠶⠶⣻⠟⣁⣠⠾⠋⠙⠶⠿⠿⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣀⣀⣠⣴⠾⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣷⡄⠀⠀⠀⠱⡄⠀⠀⠀⠀⠙⣿⣾⡇⠀⢸⠀⠀⢸ ⣿⣿⡿⠃⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣆⢰⠀⠀⠸⡄⠀⠀⠀⠀⠈⢿⡇⠀⢸⡀⠀⢸ ⣿⡿⠃⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⡆⠀⠀⢱⡀⠀⠀⠀⠀⠘⣿⡀⢸⠇⠀⢸ ⡾⢡⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠀⠀⠀⠀⢀⠀⠀⠀⢸⠀⠀⠀⢇⠀⠀⠀⠀⠀⢸⣿⡟⠓⠒⠚ ⣣⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠘⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢿⣿⣦⠀⠀ ⣿⢿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⢣⠀⠀⡇⠀⠀⠈⠀⠀⠀⠀⠀⠀⠘⣿⣿⣷⣶ ⠏⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⢇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢻⣿ ⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡷⣸⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡘⣿ ⡟⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⢰⡅⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⠀⠹⣷⡏ ⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⡌⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⢠⣷⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠹⣷ ⠀⣿⠇⠀⠀⠀⠀⠀⢀⠀⣠⠟⠁⠠⡾⠀⡸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⠀⣸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣲⡀⠀⠙ ⢰⡿⠀⠀⠀⠀⠀⠘⢺⠿⣁⣠⣤⣴⣷⣶⣷⣬⣷⣄⠀⠀⠀⠀⠀⠀⠀⣠⠰⠟⠻⣿⡾⢿⠀⢀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠹⣿⣦⠀ ⠀⠀⢀⡆⠀⠀⠀⡴⠀⣧⡀⠙⢿⡍⠹⣇⠀⢰⣿⣿⣷⠦⢶⣤⠴⠀⠈⠀⠀⠀⠀⠈⠉⡏⠀⡎⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠹⡇⣷ ⠀⠀⠞⠀⠀⠀⣸⡇⢰⡄⢻⢢⡀⠈⠀⠈⣛⡻⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣸⡇⠀⢐⠀⢸⡆⢀⠀⠀⠀⠀⠀⣦⠹⣿ ⠀⠀⠀⡀⠀⢠⣿⠀⢸⠛⠢⣝⠙⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⢠⠃⠃⠀⠸⠀⢸⣧⢸⠀⠀⠀⠀⠀⠹⣧⠙ ⠀⠀⡴⠀⠀⣼⡏⠀⣼⠀⠀⠘⡟⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡎⢰⠀⠀⡀⠀⢸⢻⠈⡇⠀⠀⠀⠀⠀⠙⠧ ⠀⠀⠀⠀⠀⡿⠀⢠⠇⡇⠀⢀⡇⣳⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣧⣾⠀⠀⠃⠀⢸⠀⡆⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡏⢸⠀⠀⠸⠇⣿⡆⠀⠈⣳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢹⡿⠀⠀⠀⠀⣾⠀⡇⣿⡆⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡞⢀⡏⡀⠀⠀⠀⣿⢻⡀⠀⡏⣿⣿⣿⡖⠦⣄⣀⠀⠀⠀⣀⡴⠋⠙⣆⠀⠛⠀⠀⠀⠀⣷⠀⣧⡿⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣿⢀⡞⢠⡇⠀⠀⢸⣿⠈⣇⣠⠿⢻⣿⣿⣷⣄⣀⣉⣙⣓⣋⣁⡀⢀⣴⣿⣆⠀⠀⠀⠀⠐⡿⢤⣿⣇⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⢻⣇⡞⢀⣾⠁⠀⢀⣿⣿⣶⠋⢻⡀⢸⣿⣿⣿⣿⣿⠰⣿⣷⣴⣷⡆⣿⣿⣿⣿⡇⠀⠀⠀⠀⡇⢰⣿⠉⠛⢿⠦⣀⣀⠀⠀ ⠀⠀⣸⣷⠟⠏⢀⣾⡯⠖⠒⠋⢡⣿⠉⢳⣘⣧⡀⠙⢿⣿⣿⣿⠀⣿⣿⣿⣿⡇⣿⣿⣿⠿⡧⠀⠀⠀⠀⡇⣾⠻⣷⣄⠀⠀⠀⠈⠙⠢

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⠁⠈⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠋⢧⡀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⣀⡀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⡤⠞⠓⠉⠉⠉⠀⠉⠉⠉⠛⠉⠉⠙⠒⠶⣤⡀⠀⠀⠀⣠⠶⠋⠁⣴⠊⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⣠⠞⠉⠀⠀⠀⠀⠀⣸⣥⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣴⠋⠁⠀⣠⠞⠁⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠟⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡴⠃⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢠⡾⠃⠀⠀⠀⠀⢀⡴⠒⠳⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠺⢯⣷⡀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠛⠉⠀⠀⠀⠀⠀⠀⠈⠳⣤⣀⣸⠀⠀⠀⠀⠀⠀⠀⠀⡶⠉⠁⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠋⠀⣀⣀⠀⠀⠀⠀⣤⣶⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⠶⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⠉⢻⡞⠁⠀⠉⠳⣍⠙⠿⣿⣿⣿⣿⡆⠀⢀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⣀⣴⣶⣯⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡿⠁⢠⠟⠀⠀⠀⠀⠀⠈⢧⠀⠀⠙⢻⡭⠆⠈⠁⣶⣶⣶⣦⣬⠉⠳⢤⣀⣼⣿⡿⠿⠛⣻⠉⠉⠉⠉⠉⠉⠉⠹⣍⠙⠲⢤⡀⠙⢷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⠁⠀⡞⠲⢦⣀⠀⢀⣠⡴⠟⠀⠀⠀⠀⠙⢦⠀⠀⠻⢿⡿⠟⠃⠀⣀⠴⠋⠁⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠉⠳⣌⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡟⠃⠀⠀⡇⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⣸⠀⢀⡴⠊⠁⠀⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⢀⣀⡴⠋⢹⠀⠀⠀⠙⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⡃⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⠉⠉⣳⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠶⠶⠶⠒⠋⣹⠁⠀⡞⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⢠⠇⠀⠀⠀⢠⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢧⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⢠⠎⠀⠀⠀⢀⡾⠉⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠘⢷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠁⠀⠀⢠⠏⠐⣀⣠⠾⠋⠀⣠⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠹⢳⣶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⢠⣿⠛⠫⠉⠁⠀⣠⠞⢡⡞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠈⡏⠳⣌⠙⠢⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠴⢒⡟⠁⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⣐⠋⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠄⠀⠀⠀⠀⢠⡇⠀⠀⠙⡶⢤⣈⠛⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢛⣁⠤⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠈⡇⠀⠀⣸⠃⠀⠈⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠖⠒⠛⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⣾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⡇⠀⣰⠋⠀⠀⠢⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⡠⡴⠚⠋⠁⠀⠘⣧⠀⠀⠀⢠⠞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⢠⠃⢠⡿⠀⡼⠀⠀⠀⠉⠳⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢠⡧⠀⠀⠀⠀⠀⠘⢧⡀⠀⠈⠀⢀⣀⣀⣤⣀⠀⠀ ⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⢸⢀⡟⣿⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⢸⡇⣀⣀⣀⡀⠀⠀⠨⣷⣤⠖⠋⠁⠀⠀⠀⠈⠉⠓ ⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⡀⣸⠃⢸⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠉⠉⠉⠉⠉⠛⠶⢭⣷⡦⠦⠤⢤⣀⡀⠀⠀⠀ ⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⢠⣷⡇⠀⢘⣆⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢷⡀⠀⠈⠓⢯⣄⠀⠀ ⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣞⡇⠀⠘⣿⣇⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠁⠀⢀⣼⢣⡀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠲⢤⡀⠀⠉⢳⡀ ⡀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢻⠀⠀⠀⠘⣟⣦⡀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣠⡾⡟⠚⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⢹⣆⠀⠀⠁

⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⠾⡿⠿⠿⠿⠷⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣴⡿⣿⡛⠹⣇⣀⠀⡀⠀⠀⠀⠀⠀⠉⠛⢿⣦⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⠟⣁⣤⣬⣽⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀ ⠀⠀⣴⣿⢁⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⣭⣝⣿⣿⣟⠃⠀⠀⠀⠀⠈⢿⣦⠀⠀ ⠀⣼⡟⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠻⢿⣿⣷⣶⣤⣀⣄⠀⠀⢻⣧⠀ ⢰⣿⠀⣿⣿⣿⣿⣿⣿⣧⢿⣿⣿⠿⠟⠛⠶⣄⡀⠙⠿⣾⣿⣿⣿⠁⠀⠀⣿⡆ ⣾⡇⠀⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⠙⣶⣤⣀⣟⣯⡋⠀⠀⠀⢸⣷ ⣿⡇⢀⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⣀⡀⠉⠉⠉⠈⣧⠀⠀⠠⣸⣿ ⢿⡇⠾⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠹⣦⣀⡠⢻⡿ ⠸⣿⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠙⠒⠒⣿⠇ ⠀⢻⣧⠀⠀⢰⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣼⡟⠀ ⠀⠀⠻⣷⡐⠴⠏⠀⠿⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣾⠟⠀⠀ ⠀⠀⠀⠙⢿⣦⣄⣀⠁⠀⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⢿⣿⣿⣿⣿⡿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⣀⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠞⠉⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⠦⠤⠖⠒⠒⠲⠦⣄⡀⠀⠀⠀⠀⠀ ⠀⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣄⠀⠀⠀ ⠀⡜⢰⣷⣤⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀ ⢰⠃⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠖⢦ ⢸⠀⣿⣿⣟⣿⣧⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣶⡾ ⢸⡄⢿⣿⣿⣿⣿⡆⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡾⠋⠉⠁ ⠀⢳⡌⢿⣿⣿⣿⡇⢸⠖⠤⣄⠀⠀⠀⡴⠞⠋⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀ ⠀⠀⠙⢷⣍⣛⣛⣡⡞⠀⠀⠈⢷⠀⣸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠸⣿⠛⠋⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠈⠛⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⡅⠀⢰⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣶⠟⠛⠉⠁⠀⠀⠀⠈⠉⠛⢷⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⡾⠋⢁⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠉⢻⣦⡀⠀⠀⠀ ⠀⢀⣼⠟⠀⠀⠈⠙⠶⡄⠀⠀⠀⠚⢋⣀⣀⣀⣤⣄⠙⣿⡄⠀⠀ ⢀⣾⠋⣠⡶⢶⣶⣿⡟⢻⣦⠀⣾⣟⣻⣿⣿⡯⠿⠟⠀⠘⣿⡄⠀ ⣼⡏⠀⠙⠛⠛⠛⠛⠛⠛⠋⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠘⣿⡀ ⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟ ⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠒⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃ ⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀ ⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠙⠻⢦⣤⣤⣄⣀⣀⣤⣤⣤⣴⣶⠿⠛⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡀⠀⣀⣤⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣴⠶⡏⣶⢎⡿⢻⡏⠶⢞⡇⠀⠀⠀⠀ ⠀⠀⣠⡾⠋⠁⠀⠀⠙⠐⠚⠁⠀⠛⠲⠛⠙⢷⡄⠀⠀ ⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡆⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⢠⢆⠀⠀⠀⠀⢠⢲⠀⠀⠀⢿⠀ ⢸⡀⠀⠀⠀⠀⠀⠀⠈⠢⡑⠤⢀⡠⢃⠎⠀⠀⠀⣬⠀ ⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠂⠁⠀⠀⠀⣰⠏⠀ ⠀⠘⠵⣴⣆⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⣀⡤⡾⠋⠀⠀ ⠀⣀⣠⡿⠉⠛⣳⣶⠶⠶⠾⣿⠶⠛⠋⠉⣹⣧⡀⠀⠀ ⠈⠫⣎⣷⠀⠋⡜⢳⠀⠀⠞⢫⣑⠂⠀⠐⠁⢃⣉⢠⠄ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⠖⠋⠉⠀⠀⠀⠀⠀⠈⠙⠓⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀ ⠀⠀⢀⡶⠋⠀⠀⠀⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀ ⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠈⣇⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀ ⢠⡏⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⢠⣟⣀⡀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⠛⠉⠉⠉⠉⠉⠉⢙⣿⠉⠉⢻⣿⣿⣿⣿⡄ ⣾⠀⠀⠀⠀⡤⠤⠤⣴⠋⠀⠀⠀⠉⠉⠉⠉⢻⡄⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠐⣿⠀⠀⢸⣿⣿⣿⣿⣷ ⡇⠀⠀⠀⠀⡇⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⣿⣿⣿⣿⣿ ⣷⠀⠀⠀⠀⡇⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣇⠀⠀⠀⣀⠀⠀⠀⢀⣿⣶⣶⣾⣿⣿⣿⣿⡿ ⠸⡆⠀⠀⠀⣇⠀⢀⣿⡀⠀⠀⠀⠀⠀⠀⣀⡟⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇ ⠀⠹⡄⠀⠀⠈⠉⠉⠁⠉⠉⠉⠀⠀⠀⠉⠁⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀ ⠀⠀⠀⠀⠙⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠒⠒⠒⠒⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣶⡄⣰⡶⢰⣶⣶⢀⣴⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⡀⢰⣶⠀⣤⣶⣦⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⡿⠁⢸⣿⣷⠘⣿⣶⣭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣾⣿⢸⣿⠁⢹⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⢸⣿⣷⠘⣷⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡏⠻⣿⠘⢿⣶⣿⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⢀⡴⠑⡄⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⡇⠀⠿⡀⠀⠀⠀⣀⡴⢿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⢄⣠⠾⠁⣀⣄⡈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡀⠁⠀⠀⠈⠙⠛⠂⠈⣿⣿⣿⣿⣿⠿⡿⢿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⣁⣀⠀⠴⠂⠙⣗⡀⠀⢻⣿⣿⠭⢤⣴⣦⣤⣹⠀⠀⠀⢀⢴⣶⣆ ⠀⠀⢀⣾⣿⣿⣿⣷⣮⣽⣾⣿⣥⣴⣿⣿⡿⢂⠔⢚⡿⢿⣿⣦⣴⣾⠁⠸⣼⡿ ⠀⢀⡞⠁⠙⠻⠿⠟⠉⠀⠛⢹⣿⣿⣿⣿⣿⣌⢤⣼⣿⣾⣿⡟⠉⠀⠀⠀⠀⠀ ⠀⣾⣷⣶⠇⠀⠀⣤⣄⣀⡀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠉⠈⠉⠀⠀⢦⡈⢻⣿⣿⣿⣶⣶⣶⣶⣤⣽⡹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠲⣽⡻⢿⣿⣿⣿⣿⣿⣿⣷⣜⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣶⣮⣭⣽⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ΔΜØŇǤ ỮŞ ඞΔΜØŇǤ ỮŞ ඞΔΜØŇǤ ỮŞ ඞΔΜØŇǤ ỮŞ ඞΔΜØŇǤ ỮŞ ඞΔΜØŇǤ ỮŞ ඞΔΜØŇǤ ỮŞ ඞΔΜØŇǤ ỮŞ ඞ

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡤⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠈⠉⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣧⠀⠀⠀⠀⠀⣀⣤⣴⣶⣶⣾⣿⣿⣿⣷⣤⣤⣀⠙⢦⡀⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⢸⣿⣷⣄⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠻⢿⣦⣽⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢢⡔⠁⠀⠀⠀⠈⢿⣿⣿⡿⢻⣬⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⣿⣿⡆⠀⠙⡟⣟⢳⡀⠀⠀⠀ ⠀⠀⠀⠀⢰⡾⠇⠀⣀⠀⠀⠀⠀⣼⡟⠉⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣷⣷⣤⣿⣿⣧⠀⠀⠀⠙⢆⠹⠉⡇⠀ ⠀⠀⠀⠀⢣⡀⠀⠀⠈⠂⡄⠀⣼⠏⠀⠀⠀⠀⢠⣿⣷⣿⣿⣿⣿⠉⣿⠉⢸⣿⡇⣿⣇⠀⠀⠀⠈⢟⢻⡅⠀ ⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠈⢾⠉⢀⠀⠀⠀⢀⣿⣿⡿⠉⣿⣿⡇⠀⣿⡀⣾⣿⣧⣿⣼⡄⠀⠀⠀⠈⢏⠃⠀ ⠀⠀⠀⠀⠀⢀⡼⡄⠀⠀⢀⡏⢠⡟⠀⠀⢀⣾⣿⠿⠃⠀⢿⣿⣷⣠⣿⣿⣿⣿⣿⠈⣿⣿⡀⠀⠀⠀⠘⡆⠀ ⠀⠀⠀⢀⡴⠋⠀⠙⣦⣄⣀⡇⣾⠀⠀⠀⣼⣿⠗⠒⢶⣶⣾⣿⢿⣿⣿⣿⣿⣿⡷⠦⢼⣿⣧⡄⠀⠀⢠⣸⠀ ⠀⠀⢠⡏⡀⢀⡞⢡⠏⣿⣿⣧⣿⠀⠀⣷⣿⣿⢶⣶⣶⣶⣿⠧⠀⠻⣿⣿⣿⣿⣴⡶⢺⣿⣿⡅⠀⣸⣼⣿⡇ ⠀⠀⣾⣿⢁⡎⢠⣿⣸⣿⣿⣿⣿⣆⡀⣿⣿⣿⠦⣿⣿⣿⡍⠀⠀⠀⠋⠙⠿⠿⠿⠞⣿⣿⣿⡇⢸⣿⣿⣿⡇ ⠀⠀⣿⣇⣾⡇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣧⣿⢩⡇⣿⠇ ⠀⠀⠸⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⢸⠟⠀ ⠀⠀⠀⠀⠘⠿⣿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢀⣀⣁⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡿⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠑⠈⠃⣩⣿⣿⠿⣿⣿⣿⡏⢿⣤⡀⠀⠀⠀⠠⠤⠂⢀⣠⣿⣿⣻⠟⡿⠻⠛⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠙⣿⣿⠋⠻⢿⣿⣷⣦⣤⣀⣀⣴⠟⠛⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠲⡒⠢⠤⣀⡀⠀⠀⠀⠀⠀⣰⠃⠋⠀⠀⠀⠀⠉⢙⣿⣿⣿⡍⣇⠀⠀⠀⠀⠀⠀⣠⠤⢤⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⡆⠀⠀⠈⠓⢤⠤⠒⠚⢻⣆⠀⠀⠑⠢⡀⢀⠞⡏⢹⠉⣷⡹⠦⠤⣀⣀⠴⠋⠀⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⢠⠀⠉⠀⠀⠀⠉⠙⡆⠀⠀⠀⠹⣦⠀⠀⠀⢠⠯⢤⣵⣀⡇⢻⠳⣟⠀⠀⠙⡄⠀⢀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣄⡤⠒⢾⡉⠁⠒⠚⢄⠀⠀⠀⠙⣿⡀⣠⠂⠀⠀⠠⡆⠈⡇⠀⠘⣧⠀⠀⠘⡎⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡏⣽⠋⠉⣿⠷⡄⠀⠀⠈⢦⠀⠀⠀⠸⣿⡗⠤⠤⢤⡤⠷⠤⣷⡤⠤⣼⣧⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀ ⢰⠁⢸⠀⣿⠀⢸⣏⣀⣸⣀⣀⣀⣀⣣⠀⠀⠀⠘⣷⣀⠀⠘⣧⠀⠀⠸⣷⠀⢹⣿⣇⠀⠀⠁⠀⠀⠀⠀⠀⠀ ⠸⠀⢸⠀⣿⠀⣿⣿⠀⠉⠁⠀⠤⠚⠉⢃⠀⠀⠀⠘⠉⠛⠻⢿⣄⠀⠀⢻⡆⠀⣿⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣄⠘⠀⣿⠀⢸⡟⢆⡀⣀⣠⠄⠒⠤⠬⣆⠀⠀⠀⢳⠀⠀⠀⠉⠣⣄⣘⣷⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠳⠀⢹⡆⠸⡇⠈⠃⢽⣿⣿⢦⣀⠀⠈⠆⠀⠀⠀⠣⠀⠀⠀⠀⠧⣔⡒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠛⠻⠿⠛⠋⠉⠉⠉⣿⣿⣿⣿⣿⣷⠀⠀⠀ ⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡿⠀⠀⠀ ⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⠀⠀⠀⠀⠀⠀⠡⡀⢸⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣁⣸⣀⢀⠀⠀⣀⣀⠤⠴⣾⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣤⣾⡗⠋⠀⠘⢻⠷⠶⠞⣹⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⢀⢞⣿⣿⣿⣿⣿⣿⣿⠃⠀⡌⠀⠀⠀⡄⠀⠀⠀⠀⡟⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⠏⣠⠞⠀⠀⠀⠀⢣⠀⠀⠀⢸⡇⣿⣿⣿⣿⠇⠠⠄⢀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⢈⡇⠀⠀⠘⡇⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⢀⣼⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⠀⠀⠲⡛⠀⠀⠀⠀⢹⣿⣿⣿⠿⡀⠀⠀⠀ ⠀⠈⢸⣿⣿⣿⣿⣿⠈⠳⡄⠀⠀⠀⣀⠠⠥⠤⠀⠀⢠⣾⡿⣿⣿⣦⡑⠄⠀⠀ ⡠⠊⠉⡿⣿⣿⣿⣿⡄⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⡰⣿⡟⠀⣿⠹⣿⣷⡀⠀⠀ ⠀⠀⠘⢰⠏⣿⣿⣿⡣⡀⠀⠀⠈⠢⡀⠀⠀⢀⠎⢰⢿⠃⢰⣇⠄⠹⣿⣷⡄⠀ ⠀⠀⠀⠘⡀⠹⢹⠘⡇⠑⢄⠀⠀⠀⠈⠉⠉⠁⡐⡏⠸⠀⠞⠃⠀⠀⠘⣿⣷⠀ ⠀⠀⠀⠀⢁⠀⠌⠀⡑⠊⠙⢱⢄⠀⠀⠀⠀⡐⢱⠉⢄⠈⢠⠑⢄⠀⡀⢻⣿⠀ ⠀⠀⠀⠀⠘⡀⠀⠀⠀⠔⠁⢸⠀⠐⢄⡠⠊⢠⠹⣀⠈⡆⠘⠀⠀⢂⡃⢸⣿⠀ ⠀⠀⠀⠀⠀⠡⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⣞⢀⡠⠑⠱⡆⠀⠀⠀⠁⣾⣿⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣲⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠉⠙⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣸ ⠀⣟⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿ ⢸⡏⠉⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠐⡏ ⢸⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⡇ ⢸⡄⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⡇ ⠈⣷⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢰⡇ ⠀⢸⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⢸⠁ ⠀⠸⡇⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⣸⠀ ⠀⠀⢻⠀⠀⠀⠘⣷⡀⠀⢀⣠⣤⠤⠴⣄⡀⢠⣄⣀⣀⣀⡀⠀⣰⠇⠀⠀⠀⠀⡟⠀ ⠀⠀⠈⢷⠀⠀⠀⠈⣧⠀⡟⣷⠷⠀⠀⠈⣷⡇⠀⠀⠀⠀⢷⢠⠟⠀⠀⠀⠀⣼⠃⠀ ⠀⠀⠀⠸⡇⠀⠀⠀⢸⡄⡇⡇⠀⠀⠀⣦⡽⢧⣀⡀⠀⠀⢸⡟⠀⠀⠀⠀⠀⢹⠁⠀ ⠀⠀⠀⠀⢻⡀⠀⠀⠀⢷⣧⢷⡀⠀⠀⠈⢿⠲⢬⣛⣶⠤⠼⠥⣄⡀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠈⣷⠖⠀⠈⠉⠙⠻⣇⠀⠀⠀⠘⣷⡀⠈⠁⠀⠀⠀⠈⠙⠶⣄⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⢹⠙⢦⣀⠀⠀⠀⠀⠀⠀⠘⣧⢸⠆⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⢸⡆⠀⠈⠙⢲⠶⣄⠀⠀⠀⠘⣿⠅⠀ ⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⡇⢀⣀⣀⣸⠀⣿⠻⠀⠀⠀⠸⣧⠀ ⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠈⢷⢸⡟⠻⣹⡸⡇⠈⣿⠀⣿⠀⠀⠀⠀⠀⠸⡆ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠘⠻⢷⠘⡟⠓⢿⡀⣿⡤⣿⠦⠇⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠷⠃⢀⣨⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⡿ ⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⣄⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀ ⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⣧⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⡀ ⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⢹⣶⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⢰⠿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠀⠀⠀⢀⡾⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠈⣷⣒⡒⠋⠁⠀⢀⡇⠀⠀⠀⠀⠀⣀⡤⢖⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠉⠉⠓⠒⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣹⢳⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣄⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠖⠦⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡄⣠⠴⠚⠉⠁⠀⠞⠁⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⠏⠀⠀⠀⠈⠙⠒⠦⣄⣀⠀⠀⠀⢠⡆⢀⡞⣹⠟⢁⣄⡀⣀⢀⣀⠴⢃⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⢠⠴⠾⠏⠑⠲⡿⢧⣾⢠⣿⣶⠋⠀⠿⠋⠉⠀⠀⡜⢸⢁⣀⠤⠤⠒⠒⠒⠺⢿⡏⠉⠉⠉⠉⠉⢻⣆⠀ ⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⢱⡀⢸⣿⠸⣾⠂⠉⠀⠀⠀⠀⠀⠀⠀⠀⣷⡮⠤⠖⣦⣤⠀⠀⠀⠀⢸⠁⣀⠀⠀⠀⣠⡤⣽⠀ ⠀⢀⠇⠀⠀⠀⢠⠞⠙⠉⠉⠀⠀⠀⢠⠈⢻⠻⠧⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢀⣴⣿⡿⠀⠀⠀⠀⠀⠀⠉⠉⠆⢀⣾⡟⠀⢹⡇ ⠀⢸⡶⠈⠳⢤⡞⠀⠀⠀⣀⡠⠔⠒⠋⣀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⣠⣼⠋⠋⠀⠀⠠⡇ ⠀⢸⠁⠀⠀⠀⠀⢶⡒⠉⠀⠀⠀⠀⠀⠙⢷⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢛⡴⠀⠀⠀⠀⠀⢀⠔⣫⣿⠁⠀⠀⠀⠀⠀⡇ ⠀⢸⠀⠀⠀⠀⠀⠀⢯⠓⠒⠂⠀⠀⠀⠀⠀⠈⠓⠤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢏⠀⠀⠀⠀⠀⠀⠞⠋⣰⣃⣤⠀⠀⠀⠀⠀⡇ ⠀⢸⠀⠀⠀⠀⠀⢶⠒⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠤⠤⠤⠤⠖⠒⠒⠒⠓⠀⠀⠀⠀⠀⠀⠔⡿⠋⢸⣆⠀⠀⡸⢠⠇ ⠀⢀⡆⠀⠀⠀⠀⠈⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢃⣶⠂⢸⡀⢀⠇⡸⠀ ⠀⣸⠃⠀⠀⠀⠀⠀⢹⢀⣠⣶⠞⣿⣿⣿⣶⣄⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣄⣀⠀⠀⠀⠀⠻⡟⠁⠀⠠⡧⠾⣤⠇⠀ ⢰⣿⣆⠀⢀⠀⠀⠀⡎⠈⡟⠁⢸⣿⣿⣿⣿⣿⣿⣎⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣾⣿⣿⣿⣿⡟⢿⣦⡀⠀⣀⡸⠆⠀⠄⠀⣾⣿⡀⠀ ⢸⣿⣯⡃⢸⠓⠢⢴⡇⢀⡇⠀⢸⡟⢙⣿⣿⣿⣿⠉⠀⠀⣀⣤⣤⣄⡀⠀⢻⣿⡿⣿⣿⣿⣿⡇⠀⢻⡍⠐⡇⠀⢀⠀⠀⣠⠏⢠⠀⠀ ⠉⠛⠛⣻⠬⠧⠀⢠⠇⢸⣧⡀⠘⡏⠉⠻⠛⢿⠏⠀⠀⠈⢩⡤⠀⠉⠙⠓⠈⡇⠔⣿⣿⣿⣿⠇⠀⣸⢠⢀⣧⠔⢻⠀⠀⡿⠠⠿⢿⣿ ⠀⠠⣾⡁⢀⡀⠰⠇⣀⡙⢦⡁⠀⠈⠒⠒⠒⠁⠀⠀⠀⠀⠙⠿⠟⠓⠀⠀⠀⠙⠤⢀⣉⣡⠎⢀⣴⡧⣠⡿⣇⢀⣇⣀⣸⡄⢤⣶⣿⡟ ⠀⠀⠈⣿⠳⡝⠄⠀⠀⠀⠙⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡖⠳⡄⠀⠀⠀⠀⠀⠀⣀⡤⣾⣡⡐⠚⠃⠀⠈⠓⣤⡶⠿⠋⠄ ⠀⠀⠀⠈⠳⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢸⣷⡾⠃⠀⠀⠀⠀⠀⠀⠉⠛⠃⠀⠁⠀⠀⠀⠒⡺⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠿⣖⣈⣳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠒⠒⠋⠁⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣦⠜⢶⡿⢒⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⢹⡉⠉⠙⠲⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡄⠀⣀⠤⠒⢯⡤⠌⠹⢶⣷⠞⠀⠀⠀⠀⠀ ⣀⣀⢶⣾⠉⢩⡀⠉⠙⠂⠀⠀⠀⠀⢹⡶⣦⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⡏⠘⢯⠏⠙⠒⠚⠋⠀⠀⠘⠛⠲⢤⡀⠀⠀⠀ ⠀⠉⠓⠿⢷⡀⠱⢄⠀⠀⠀⠀⠀⠱⣼⣷⣦⣼⣹⣿⣌⣉⣛⠛⠓⣟⣉⣩⣼⣋⣀⣠⣇⠠⡀⠣⡀⠀⠀⠀⠀⠐⠀⠀⡀⠀⠉⢲⡄⠀ ⠀⠀⠀⠀⠀⠙⢲⣄⣙⣲⣤⣤⡀⠀⠈⠡⠹⢍⢉⡡⠔⠒⠚⠛⠿⣿⣻⡄⠀⢄⡀⠀⠉⠙⠃⠀⠀⠀⠀⠀⠀⠀⣠⠞⠵⣶⣞⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣴⠚⠉⠁⠀⠀⠀⠀⠀⡴⠋⣀⣀⣠⣀⡀⠀⠈⠻⡅⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠕⣠⣟⠁⠈⢳⣶⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⢶⣍⣍⠛⢻⠞⠋⠉⠀⢀⠀⠀⠀⠉⠙⠒⢼⣄⠀⠀⠀⠀⠀⢀⣀⣀⡙⠛⢛⣷⣶⡋⠸⢭⣓⣤⡼⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣦⣄⣄⡒⢽⣷⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠈⣿⡙⢿⣿⣿⣿⠛⢿⡆⣸⣿⣿⣿⣿⣿⣿⠁⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠸⡇⠀⢹⣾⠇⠀⢸⣿⡇⠈⠀⣽⣇⣙⠋⣀⣐⣻⣬⣾⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⣠⠤⣼⠿⣧⣠⠞⣛⠉⠉⠀⠀⠀⠀⠀⢹⣦⣤⠿⠿⠿⠛⢋⡝⠋⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢀⣷⣄⠀⠤⠿⢷⣏⡀⢡⢀⣀⣀⠀⠀⢀⣀⠈⠋⠀⠀⠀⣴⠭⠀⠀⠀⣼⢿⣿⡿⢿⡿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢀⣿⡯⠜⠋⡀⠤⠤⠌⣙⡿⢿⡉⣿⣅⣴⣉⣠⢱⣄⡀⠀⣄⣀⣀⠀⠀⣰⡏⠈⠙⠣⢼⣶⣿⣿⣿⣿⣿⣿ ⠀⠀⣠⠿⡋⠀⠀⠀⣀⣤⠒⠊⠉⡇⢀⡏⠀⣿⡙⠛⠭⣍⠉⠉⠉⠁⠉⠙⢻⣿⣿⠇⠀⠀⠀⠸⠛⠏⢠⣸⣍⡟⠻ ⢀⣶⢿⣯⢤⣤⢬⡿⡏⠉⠳⣄⠀⢿⠋⠘⠤⠃⠈⠑⢄⠀⠉⠢⡄⠀⠀⠁⠀⢌⢿⡓⠀⠀⠀⠀⠀⠀⠲⠁⠿⣟⡗ ⠀⣇⠀⠀⠀⠀⠹⡇⠁⢀⠀⠈⣧⠘⣄⠀⠀⠀⠀⠀⠀⢑⣤⠴⠚⠚⠛⢲⠤⢈⣶⣷⡀⠄⠀⠀⠀⠀⠀⢐⣾⣷⠓ ⠀⢻⠀⠀⠀⠀⠀⠉⡶⠋⠀⠀⣹⠆⠈⠀⠀⠀⠀⠀⣠⡞⠀⠀⡄⠀⠴⣺⠤⠤⣿⡿⠀⠀⠀⠀⠀⠀⡀⣿⣋⣿⢯ ⠀⠈⣇⠀⠀⢀⣴⠞⠀⠀⠀⠀⣿⣄⡀⠀⠀⠀⢀⣠⡿⠀⠀⠀⢸⠤⠽⠃⠀⣰⠏⠠⠀⠀⠀⠀⠀⠀⠈⠈⠇⣿⡯ ⠀⠀⠘⣦⣰⠟⠁⠀⠀⠀⠀⢸⠙⢿⡉⠉⠉⢉⣡⣾⠁⠀⠀⠀⢸⠀⠀⠀⣴⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿ ⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⢀⡇⠀⠀⠉⠛⠛⠉⢀⠇⠀⠀⠀⠀⠘⣷⣤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣸⣀ ⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠉ ⠀⠀⠀⠙⢦⡀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀ ⠀⠀⠀⠀⠀⠙⠛⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⣄⡀⣠⢾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠸⠁ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢰⡄ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠅ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀ ⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠔⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡇ ⠀⠀⠀⠀⠀⢀⡟⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⠀⠀⠀⠀⠀⣸⠁⠀⠀⢆⠀⠀⠀⠀⠀⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢓ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠱⠄⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠

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𝑰 𝒌𝒊𝒔𝒔 𝒕𝒉𝒆 𝒔𝒄𝒂𝒓𝒔 𝒐𝒏 𝒉𝒆𝒓 𝒔𝒌𝒊𝒏,🎸⋆⭒˚｡⋆ᶻ 𝗓 𐰁 𝑰 𝒔𝒕𝒊𝒍𝒍 𝒕𝒉𝒊𝒏𝒌 𝒚𝒐𝒖'𝒓𝒆 𝒃𝒆𝒂𝒖𝒕𝒊𝒇𝒖𝒍,✮ ⋆ ˚｡𖦹 ✩ ⭑ 𝒂𝒏𝒅 𝑰 𝒅𝒐𝒏'𝒕 𝒆𝒗𝒆𝒓 𝒘𝒂𝒏𝒏𝒂 𝒍𝒐𝒔𝒆 𝒎𝒚 𝒃𝒆𝒔𝒕 𝒇𝒓𝒊𝒆𝒏𝒅.ᐟ ࣪𖤐๋࣭⭑

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

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⣷⣶⣶⣶⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠈⠣⡀⠙⢿⣷⣻⣿⣴⣿⣿ ⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⢀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠙⡄⠠⣿⣿⣿⣿⣿⣿ ⠙⢿⣿⣿⡟⠁⢀⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⢣⠻⣿⣿⣿⣿ ⣤⣾⣿⡟⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⡰⢻⠁⠀⢀⠎⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⢇⠹⡀⠀⠀ ⣿⠋⡜⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⡠⠀⣠⠞⠁⡜⠀⠀⡜⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠸⡀⠱⡄⠀ ⢁⣰⠁⢠⠇⠀⠀⠀⢀⡔⠀⠀⠀⠀⠀⠀⡶⠊⡠⠚⠙⠛⠶⣧⣄⡸⠀⠀⡇⠀⠀⠀⢀⡆⠀⠀⠀⠀⠀⠀⣠⢶⠀⢸⠀⠀⡇⠀⠈⢦ ⠉⡏⠀⡎⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⡷⡊⢠⠀⠀⠀⠀⡏⠻⣷⡄⠀⡇⠀⠀⠀⡜⠀⠀⠀⠀⣠⣶⢰⠇⢸⣤⣿⠀⠀⡇⠀⠀⠘ ⣰⠇⢰⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠈⠲⢶⣷⠿⢿⣿⣷⣶⣶⣿⣦⡉⠁⠀⢳⠀⣠⠎⠀⠀⢀⡤⣶⣻⣿⢸⠀⠘⡿⡟⠀⠀⡇⠀⠀⠀ ⠁⠀⡎⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⣏⡖⢺⡻⣿⡛⢿⡿⣄⠀⣸⠖⢁⣀⣤⠞⠁⢀⠇⠀⡝⢸⠀⠐⢇⠘⡄⠀⡇⠀⠀⠇ ⠔⠺⡇⠀⢠⠇⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠛⠉⠚⠤⠽⠁⠈⢳⠐⠚⠛⠉⢹⣰⠃⠀⠀⡿⠀⠀⡇⢸⠀⠀⠈⠀⢸⠀⡇⠀⠀⠀ ⢀⣀⡇⠀⡎⠀⠀⠀⢁⠀⠀⠀⠀⠀⢣⡀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⣦⣴⡄⡇⠀⢀⡇⡆⠀⠀⡰⠀⣿⢠⠃⣀⠀⣠ ⠉⠉⣧⣸⠀⠀⡆⠀⠘⡆⠀⠀⠀⠀⠀⡗⢄⡱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢿⣿⡇⠀⢸⣾⠀⠀⢠⠇⠀⣿⡞⡀⠘⣄⠃ ⠀⠀⢹⡟⠀⠀⡇⠀⢀⠘⡄⠀⠀⠀⢆⢡⠀⠉⠺⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⡀⢧⠀⠈⢣⠀⠘⣷⣤⣤⣸⠀⠀⡇⣷⠋⠑⠚⠳ ⠀⠀⠀⣿⠀⢠⢷⠀⢸⡄⠘⢄⡀⠀⠈⠻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⡄⠀⢸⠀⠀⠀⢸⣿⡏⠀⠀⠁⡞⠀⠀⠀⠀ ⠀⠀⠀⣿⢀⡇⢸⢧⣸⢣⠀⢸⢿⠢⠤⠤⠬⠷⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠘⡄⠀⠀⢸⣿⡇⠀⠀⢸⣁⠀⠐⠢⣀ ⠀⠀⠰⠁⢿⠀⢸⠀⠉⢈⢧⠸⡈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠉⠀⠀⣾⣿⣇⠀⠀⣸⠀⠉⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⡞⠀⣠⢋⣀⣟⠇⠈⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢐⣦⠀⡇⠀⠀⠀⠀⠀⢠⣿⣿⣿⠀⢀⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣇⣼⡵⠋⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠁⠀⣇⠀⠀⠀⠀⠀⣸⣿⣿⣿⠀⢸⡇⠀⢤⡄⠀⠀ ⠀⠀⢀⠄⠀⣸⠛⠁⠀⢀⣴⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀⢀⣿⣿⢿⣿⡇⡾⣇⠀⣿⣷⢠⣠ ⠀⢀⠎⠀⢀⠇⠀⠀⠠⠚⠁⣼⠤⠤⣀⣀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣧⠀⢀⣾⣿⡏⠈⣿⣿⣗⢿⣵⣿⣿⣿⣿ ⡶⠃⠀⠀⡞⠀⠀⠀⠀⠀⢰⢹⠀⠐⠒⠮⣍⠒⢤⡀⠀⠈⠳⢄⡀⠀⠀⠀⢀⣀⣤⣶⠋⠁⢈⣿⣿⣿⡟⠀⠀⢸⣿⣿⢴⣿⡿⣿⣿⣿ ⠀⠀⠀⡼⠁⠀⠀⠀⠀⢀⠇⡾⠒⠓⠒⠲⠤⢽⣦⡙⢦⡀⠀⢀⡙⢳⣶⣾⣿⣿⣿⣿⡇⣸⣿⣿⠛⠋⠀⠀⠀⠀⠻⡇⠀⠈⠙⢿⣿⣿ ⠀⠀⡼⠁⠀⠀⠀⠀⢠⠎⠀⣧⣾⣶⣶⣶⣶⣶⣶⣿⣿⣿⣦⠎⠱⣾⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⢻⡷ ⣤⠞⠀⠀⠀⠀⠀⡠⢃⠄⠀⡿⢯⢿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢴⣦⠌⢻⡟⠛⢻⣿⣿⠛⠻⣿⡟⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⣧ ⠁⠀⠀⠀⠀⠀⠀⣡⠊⣀⠔⠁⠈⢿⣿⣿⣿⣿⠛⠉⣡⣿⣦⣈⣿⢠⣿⣿⣿⣿⣿⡿⠀⠀⠙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣤⡶⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠒⠂⠠⠤⠤⢤⡀⠀⠈⠉⠛⢷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⢀⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⣠⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠷⣤⣀⠀⠀⠀⠀⠀⠈⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⣉⢀⢀⣠⡴⠋⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣧⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣤⣽⣃⣴⣾⠟⠀⠀⠀⠀⠀⠀⣤⡿⠀⣤⣄⡀⠀⣄⠀⠠⠀⠀⠀⣤⠀⣾⣧⠀⠀⠀⠀⠆⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣼⠟⠉⢉⡾⠁⠀⠀⣠⣗⡄⢀⣼⣟⣄⠰⡇⠀⣧⠘⢹⣆⣼⣧⡀⠀⢿⢠⣀⣽⣇⠀⠿⠞⠉⢩⣼⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣷⠄⣰⡿⠁⠀⣾⣛⣿⠏⢡⣾⠏⢸⣇⠘⠹⣿⡟⢺⣾⣿⣿⣿⣷⡀⣼⡍⢿⣯⢿⡄⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇⠐⢐⣿⣻⡗⣦⣿⣿⠇⣰⣿⣿⣦⣿⣯⠞⣠⣿⣇⣿⣴⡿⢿⣿⣿⣷⢻⡇⠘⣿⡞⣿⣀⠀⠀⠀⠘⣿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⣿⡇⠀⣼⣿⣿⠁⣿⣿⣿⣿⡿⢿⣿⠟⢸⣿⣶⣿⣿⠛⢣⣿⠇⠈⣿⣿⣿⣿⣧⢥⣿⡇⣿⣿⣷⠤⠀⢻⡆⢿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⡟⠁⢰⡿⢻⣟⣶⣿⣿⣿⣿⣷⣿⠫⠂⣿⣷⣿⣿⣿⠀⣿⡟⠐⠸⣿⣿⣿⣿⣿⡞⣿⡇⢸⡿⣿⠀⠀⠀⠂⢸⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⠃⢸⡇⠀⢸⡇⣿⡇⢸⡿⣿⢻⣿⡿⠗⠀⠀⣿⣿⣿⣿⣶⣤⣿⠁⠀⠀⠈⢿⣿⣿⣿⣷⣿⡇⠸⡇⣿⡆⠀⠀⠀⣌⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⣾⠀⠀⣿⠇⣿⡇⢸⣯⣇⣿⣛⣃⠀⠤⢶⣿⣽⡿⣿⣿⣿⡷⠶⠤⠤⣀⣀⣘⣿⣿⡏⣿⡇⠀⣿⣿⣧⠀⠀⠀⢻⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⣿⠀⠀⣿⢠⣿⢿⣿⣿⣿⣄⣤⣔⡲⠄⢸⣿⣿⣻⣿⣿⣟⣠⢶⣲⣴⣦⣤⣄⡉⣿⣿⣿⡇⠀⡿⣿⣿⠀⣴⣴⢸⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡄⣿⢀⠀⣿⣿⣿⣾⣿⣿⠿⢿⣿⣿⣿⣦⣾⣿⣿⣿⢿⡿⠉⢡⠞⠋⣿⣿⣿⣿⣿⣿⣿⣿⡇⣸⣷⣿⢸⡇⠸⣿⡄⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡇⣿⣾⠂⣿⢹⣿⣿⣿⠹⡄⠸⣿⣿⣿⣿⡏⣿⡿⢡⡟⠀⠀⠀⠀⠀⣿⣿⣿⣿⡿⣿⣿⣿⠉⣿⣿⣿⢸⣇⠃⢸⡇⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣏⣿⣿⣿⣿⣿⡆⠹⠀⠰⣿⡿⠸⢡⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣾⣷⡞⠁⣿⣿⣿⢰⣿⣿⣿⢸⣿⠀⢸⣷⣿⢻⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣱⣿⣿⣿⣿⣿⣿⣳⡀⠉⠲⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠒⠂⠀⣰⣿⣿⣿⣼⣿⣿⣿⡾⣿⡆⣼⣿⣿⠈⢷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣾⣿⣿⣿⣿⣿⣇⠓⡀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⡟⠻⢨⣿⣿⣿⣿⣿⣾⣿⣿⡀⠸⣇⠀⠀ ⠀⠀⠀⠀⠀⠶⣤⣄⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⣨⣿⠟⡴⢋⡿⣿⣿⣿⡇⠀⣿⠀⠀ ⠀⠀⠀⠀⢸⢣⡈⠢⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣏⣽⠾⢿⡋⠱⢀⡴⠋⣠⣿⣿⣿⡇⠀⣿⡆⠀ ⠀⠀⠀⠀⢸⣦⠙⠦⡈⢻⡎⠻⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠠⣤⣤⣴⣶⣤⣀⠀⠀⠀⣠⣾⢟⣿⠋⠁⠀⠀⠹⡴⠋⢀⠞⢹⣿⢿⣿⡇⠀⣿⡇⠀ ⠀⠀⠀⠀⠘⡌⠳⣄⠹⣴⠃⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣟⣡⠞⠁⠀⠀⠀⠀⠀⠹⣴⠋⢀⣿⣿⣾⣿⡇⢰⣿⡇⠀ ⠀⠀⠀⠀⠀⠘⣦⠈⢳⠟⠀⠀⠀⠀⠈⠻⠿⣿⣿⣿⣿⣿⣿⣿⠿⢶⢤⣀⣀⣠⣴⡾⠉⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠻⣠⣿⣿⣿⣿⣿⣿⣾⣿⠃⠀ ⠀⠀⠀⠀⠀⣼⠛⣄⡜⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠈⣿⣿⣿⡇⠰⣬⡆⠉⠛⣯⠏⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀ ⠀⠀⠀⠀⢠⠇⢀⡿⠁⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⣼⣿⣿⣿⠀⠀⠙⠿⣷⣏⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠿⢿⣿⡏⠀⠀⠀ ⠀⠀⠀⠀⢸⠐⠟⠁⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⢀⡿⡛⣿⠟⢳⢶⣴⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠸⣿⡿⠀⠸⠟⠻⣤⠀⠀ ⠀⠀⠀⠀⠸⣄⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⢸⣿⣿⠇⠀⠈⢻⣄⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⣴⣿⠇⠀⠀⠀⠀⠈⢧⠀ ⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠈⠻⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣤⣤⣴⣾⡿⠋⠀⠀⠀⠀⠀⠀⢸⡆ ⠀⠀⠀⠀⠀⠀⣸⢳⣄⣀⣤⠞⢁⡄⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁ ⠀⠀⠀⠀⠀⢰⡇⠀⢹⣟⢁⣠⠞⠃⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⣄⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠈⠳⠀⠀⠀⠀⠈⠀ ⠀⠀⠀⣀⣤⣿⣤⣭⣝⣻⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⣀⠀⠀⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡀⢊⣽⠋⠁⠀⣉⡉⢙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⠛⠫⠄⠁⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢰⢟⡘⠃⡁⠀⠁⣠⣶⡃⢉⢆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡲⢻⠀⠀⣿⢙⡇⠈⡉⣿⡽⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡅⠀⠀⠁⠀⠁⠀⢱⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠈⠀⠀⠈⠀⡸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠗⠘⠻⠻⠲⠲⠻⢳⢤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⣽⠻⡄⣤⢴⣤⣦⣦⡇⣧⢧⡮⣿⢆⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⡿⡍⠦⣙⡇⠙⠛⡚⠟⠛⢛⠛⠛⠓⢿⢸⠀⠀⠀⠀ ⠀⠀⠀⠸⡛⠕⣌⣳⣮⢕⡀⠃⠃⠸⢰⢸⢸⠀⠀⣿⣼⠀⠀⠀⠀ ⠀⠀⠀⢠⠃⠁⠒⢲⠓⡌⣸⠀⠀⠰⢈⠈⢘⢸⠂⣯⢣⠀⠀⠀⠀ ⠀⠀⠀⡌⠀⠀⢀⠆⠀⢰⣞⢸⢨⠀⠘⠀⡀⠘⡠⢻⠁⠕⠄⡀⠀ ⠀⠀⢀⠃⠀⠀⠘⢄⠀⠀⣿⢈⢀⠀⡆⡆⡡⢇⠟⠑⠫⢤⣄⠘⡄ ⠀⠀⣘⠀⢀⡪⠀⠬⠆⠀⣿⠾⠾⠤⠅⠉⠄⠂⠀⢀⡴⠊⠒⢽⠃ ⠀⠀⠻⠀⡏⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⣇⡀⠀⢼⠁⠀⢀⡈⠦ ⢀⠀⣣⣓⠁⢠⠄⢀⣀⢀⣟⠀⢀⡀⡀⢰⠀⢈⣢⣼⣀⡘⡅⢀⣀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⣠⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣷⣄⣠⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀ ⣠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀ ⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣋⣀⣀⣠⣴⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⠿⠋⠁

⠀⠉⠒⠭⡐⢄⠀⣳⠔⡮⠋⢉⣀⠠⡤⠤⠤⠤⢄⣀⠀⠀⠀⢹⡄⢀⡆⠀⠀⠀ ⠀⠀⣯⠀⠈⠢⡹⡏⣌⠔⠊⡁⠀⠀⠉⠃⠁⠀⠀⠠⠁⠢⡀⢸⡁⣼⡇⠀⠀⠐ ⠀⠀⠹⡣⣄⡤⡵⡽⠓⢀⠌⡔⠄⠀⡄⠀⠀⠀⢠⢀⠡⠀⠘⣎⣏⣾⣁⡀⠀⠀ ⠀⠀⢠⢊⣤⢠⢴⡍⢀⠂⡼⡸⠀⢰⠇⠀⢸⡀⠀⣧⠆⢱⠋⢹⠀⡇⣇⡛⡄⠀ ⠀⡀⡏⢔⢿⣎⣼⠹⡎⣸⡧⠗⠂⠛⠀⠀⠚⠓⠂⢼⣜⡀⠆⡸⠝⣿⠿⠁⡄⠀ ⠤⢒⣿⡮⣪⠖⢉⠲⢀⠃⣀⣐⡀⣲⠀⠀⢠⣂⢀⡀⣈⢃⠸⢸⡌⠺⣆⡠⠁⠀ ⠀⢾⢏⠔⢣⣬⡼⠇⠘⠙⠅⠤⠾⠍⠀⠀⠈⠽⠿⠤⠝⠹⠀⣿⡦⣔⡺⡻⣗⠂ ⠀⢸⣎⠴⡻⡹⢹⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⢻⡸⡪⣻⣜⣄⠉ ⠀⠸⢀⢔⠕⢱⣿⠀⡯⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠿⡇⡘⠱⢵⣄⢸⠇⠀ ⠀⠐⠛⠁⠀⠞⢹⡀⣿⠙⢢⡀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣾⡁⡇⠀⠀⡏⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣷⡘⢷⣻⣿⠰⣤⣀⣀⣠⡴⢺⢻⢁⣾⢣⠁⠀⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠏⠑⡿⣼⠀⠈⠛⠛⠉⠀⣴⠀⣻⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠑⠠⠄⠠⠐⠈⠸⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⡦⠀⠀⡀⠀⣀⠀⢀⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⡺⡽⣿⣿⣿⣿⣿⣷⡤⣀⣀⣀⣀⣤⣼⣿⣿⣿⣿⣿⣿⠿⣦⠀⠀⠀