⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠒⠒⠒⠒⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡞⡽⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⢳⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣔⣻⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⠢⡀⠀⠀⠀⠀ ⠀⠀⢀⣾⣿⣶⡆⠀⠀⢐⡄⠀⠀⠀⠀⠐⠳⡀⠀⢸⣇⣧⡐⠀⠀⠀⠀⠀⠀ ⠀⢠⠏⠀⢹⣿⡇⠀⠀⠇⢀⢂⠀⠀⠀⡃⢀⠀⠘⣦⢸⡿⡟⠋⠁⡀⠀⠀⠀ ⠀⡋⠀⠀⠀⢹⣷⡀⡸⠀⠻⠀⠈⠒⠤⠃⠿⠀⢀⠻⣼⡇⠀⠀⠀⠀⢂⠀⠀ ⢀⠀⠀⠀⠀⠈⣿⠱⣿⣅⠀⠀⠸⣉⡹⠀⠀⢀⠞⡼⠀⣿⡀⠀⠀⠀⠀⠐⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⢣⠀⠍⢶⣦⠤⢤⣖⠾⠠⣀⠇⠀⢹⡇⠀⠀⠀⠀⠀⠡ ⡁⠀⠀⠀⢀⡴⣏⣴⡑⣀⣴⠂⢸⠤⠼⡀⠱⡤⡨⢳⣦⣸⣷⠀⠀⠀⠀⠀⢡ ⠅⠀⠀⣴⡟⢷⣾⣿⡷⠳⠃⢠⠃⠀⠀⢣⣀⠡⡙⣿⣿⣿⠛⣦⡀⠀⠀⠀⢰ ⠂⠀⣼⡯⠃⠢⠽⠋⡴⠧⣀⡣⡀⠀⠀⢈⢄⣭⣇⠘⠿⠕⠥⠜⠻⠦⣀⠀⡇ ⠀⠉⠁⠀⠀⠀⡊⠉⢙⣿⡾⡶⠾⠶⣾⢕⢿⠟⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠐⢀⠼⠃⠀⠉⠉⠀⠂⠀⠈⠣⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀ ♡⠀miku miku oo ee oo ♡⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠖⠀⠀⠀⠲⣴⣶⣶⣶⣄⠀⠀⠀⣖⢢⠀⠀⠀⠀⠀⠀⠀⠐⣴⠶⠖⠀⠀⢀⡠⢶⡶⢒⣶⣶⣆ ⠀⠀⠀⢰⣇⣀⠀⢘⣖⢻⠀⠀⠀⠀⠀⢹⡟⣿⢆⡽⠁⠀⠀⠹⠛⠀⠀⠀⠀⠀⠀⠀⢀⣧⣧⢷⣾⠆⠉⠁⠀⠚⠻⠽⣏⡂ ⠀⠀⠀⠻⢜⡜⠀⢸⣼⠃⠀⠀⠀⠀⠀⢸⡧⠗⠉⠀⠀⠀⠀⠀⡖⣒⢲⡆⠀⠀⠀⠀⠈⠁⠀⠀⠓⠃⠀⠀⣀⣤⡀⠀⠀⠙ ⢰⣤⠤⡀⠀⠀⠀⠸⣿⣠⣧⣲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣭⣼⣇⡀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⡌⣳⡜⢶⣀⠀ ⠸⠽⠖⠛⠀⠀⠀⢶⣭⣧⡻⡟⡿⠂⣤⣤⣤⣤⣤⠀⢠⣤⡄⠀⠉⣤⣬⠉⣭⣤⣀⣤⣴⣶⣾⠛⢩⣽⠉⢉⠣⣯⡷⢰⣼⠀ ⠰⣄⣀⢀⡀⠀⠀⠀⠀⠀⠻⠋⠀⠀⠛⢻⣿⡟⠛⠀⣾⣇⢣⠀⠀⠹⣜⣾⢡⠏⣏⢹⣿⣹⣿⣧⡾⠟⠛⠁⢀⠀⠈⠛⠁⠀ ⠀⠈⠉⠉⠀⠀⠀⠀⡿⡞⠊⠁⠀⠀⠀⠘⣿⡇⠀⢰⣿⣷⢸⡄⠀⠀⢫⣧⡾⠀⢸⣌⡿⠖⠋⠁⠀⠀⠀⠀⢸⡦⢠⢔⣦⠀ ⢠⡀⠀⠀⠀⠀⠀⣀⠉⠉⠁⠀⠀⠀⠀⠀⣿⡇⠀⣾⣵⠿⡄⣧⠀⠀⡜⡠⢳⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⣸⡼⠛⠀ ⢸⣽⣦⣀⢀⡴⢾⣟⠛⢦⡀⠀⠀⠀⠀⢠⡿⡇⢀⡏⣾⠛⣥⣼⠀⡼⢱⠻⡄⣇⠀⠀⠀⠀⠀⠀⠀⠀⠰⢙⡟⠀⠀⠀⡀⠀ ⢸⣿⣤⣻⣿⣦⣘⣻⠾⠚⠁⠀⠀⠀⠀⠀⠉⠁⠀⠉⠁⠀⠉⠉⠁⠉⠉⠀⠉⠉⠀⠀⠀⠀⢀⣤⣀⠆⠀⠀⠀⠀⠀⢰⣭⡇ ⠸⣯⣳⢟⢻⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⠼⠀⠀⠀⠀⠀⠀⠘⠙⠃ ⠀⠈⠘⣈⠎⠀⢰⣄⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠴⠶⣒⠒⢢⣤⡀ ⠀⠶⠞⣧⢄⠀⠸⣝⡻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠶⠶⠿⣧⣿⣿⡇ ⠀⠀⢠⡿⣀⡗⠀⠈⢠⣤⣤⡤⣤⡄⣤⣤⣤⣄⡀⠀⠀⢠⡤⣄⠀⠀⣤⣤⠀⢠⣤⠀⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⢙⣾⡇ ⢀⡄⣸⠁⢛⡇⠀⠀⢸⣿⠛⠓⠛⠃⣿⣿⠛⢿⣿⠀⠀⣸⣷⢹⠀⠀⢿⣿⠀⢺⣿⡀⣿⣿⠛⣿⣷⢈⠤⢹⠀⢤⢲⠞⣽⠁ ⠈⠀⣿⣿⣷⡇⠀⠀⢼⣿⣶⡆⠀⠀⣿⣿⣀⡜⢹⠀⢠⣿⣷⠈⡆⠀⣝⣿⠀⣾⣿⡄⣿⢻⠀⡏⣿⠘⠟⠛⠛⢃⣨⣄⡯⠀ ⠀⢠⡟⠿⠷⡇⠀⠀⢸⣿⠋⠁⠀⠀⣿⣻⡏⢴⠋⠀⣾⣡⡟⡇⢳⠀⡗⣿⠀⢹⢿⡅⣿⣿⠀⡇⢻⠀⠀⠀⣠⣔⣯⣁⡉⡇ ⠀⢸⣧⢜⣃⣧⠀⠀⢸⣿⠀⠀⠀⠀⣿⣻⠸⣌⣧⠀⡏⣿⠯⣵⣼⡀⠱⣽⣷⣿⡾⠃⣿⣼⣾⣵⠟⠀⠀⠀⠀⣀⡩⠙⠻⠆ ⠀⠈⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠉⠉⠀⠈⠉⠀⠉⠁⠀⠈⠉⠁⠀⠀⠉⠁⠀⠀⠉⠉⠉⠀⣠⢤⠀⢀⠾⡓⠁⠀⠀⠀ ⢸⣶⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣄⡒⡇⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢣⠀⡄⠀⢁⣿⠀⠁⠉⠁⠀⠀⠀⠀ ⢸⡣⣬⡻⣿⣷⠀⠀⠀⠀⠀⠀⠴⣦⣄⡀⠀⠀⢻⡇⣉⣙⣶⡆⢀⡮⣧⠀⠀⠀⠀⠀⠾⠬⠇⠀⠸⣿⡀⢧⡀⠀⢀⡀⠀⠀ ⠀⠻⣏⣄⠟⠁⠀⠀⢀⣀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢾⢾⠡⣤⣄⣀⣀⣠⢤⡀⠀⠀⠀⠈⠑⠈⢓⢿⠞⢪⣿⡆ ⠀⢀⣈⣋⣀⣠⣤⣤⠙⣯⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠧⠥⠿⣽⣿⣓⡣⠴⠓⠀⠀⠀⠀⠀⠘⡷⢞⢺⣩⠜⠁