⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢠⣆⣆⣀⠀⠀⠀⠀⠀⠀⠀⢠⣮⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢈⢀⢀⢂⠀⠀⠀⠀⠀⠀⢠⠃⠈⣆⠉⠛⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣦⠖⢃⣄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⢀⢀⢀⠀⠀⠀⠀⠀⠀⣿⠀⢀⠋⣄⠀⠀⠈⠋⢢⣄⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣀⢀⢀⣠⢴⣦⣤⣀⣀⠀⠀⠀⢀⣠⣦⠊⠋⠁⠀⠀⠀⣴⠈⢫⢀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢪⢀⢀⠀⠀⠀⠀⠀⠀⢻⣄⣫⠀⠈⢆⠀⠀⠀⢠⠎⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⢈⣆⣎⠀⠀⠀⠀⠈⠉⠻⣦⣄⠁⠀⠀⠀⠀⠀⠀⢠⣾⠁⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠁⠁⠀⠀⠀⠀⠀⠀⠀⢫⣤⠚⠋⠉⠉⢛⣦⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⢀⣦⠋⢸⠀⠀⠀⣯⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⣆⣆⣀⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⠘⢊⢀⢀⢀⢠⠠⠠⠄⠀⠀⠀⠀⠀⠀⠊⢄⢀⢀⠀⠀⠀⠀⠀⢀⣠⣮⢆⢦⣤⣠⣏⠀⠀⣮⢃⠀⢀⣯⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠃⠃⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⢀⣠⣠⢆⠂⠂⠂⠊⠃⠃⠃⠓⠲⢶⣦⣤⣄⣀⠀⠀⠀⠀⢀⢈⠁⠀⠀⠀⠀⠋⣦⠀⠀⢰⣎⠀⢸⣏⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣦⠃⠉⢫⢄⣠⣊⠀⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠋⢳⣦⣤⣀⠀⠈⢢⣀⠀⠀⠀⢫⡀⠀⢦⠊⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⠀⢠⡆⢢⣎⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣤⠀⠀⢢⢀⣠⣾⠃⣦⠎⠀⢠⣏⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⢠⣇⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⢈⢁⢀⢒⢁⢀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⣾⣦⠎⠀⠀⠀⠀⠀⠀⠀⠀⢰⣇⠀⣀⠀⠀⠀⠀⠀⠀⢀⣦⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢀⣦⢋⠉⠉⠉⠉⠋⢻⣏⠁⢣⣄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣆⢀⠇⠀⠀⠀⠀⠀⠀⣀⠀⠀⢸⢃⣄⢃⠀⠀⠀⠀⠀⠀⢀⣇⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⣎⠀⠀⢢⠉⠃⢢⣄⣰⡃⠀⠀⢧⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⡏⢀⣾⠀⢠⡆⠀⠀⠀⢰⠋⠑⢢⢎⠀⠈⠀⢣⢆⢆⢆⠆⠂⠊⠃⠃⠊⠓⠓⠓⢲⠞⠁⢣⢀⠀⠀⠀⢣⠀⠀⠀⢣⠊⠊⠁⢸⣤⣤⣤⣮⢇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣯⠀⢸⡇⠀⣾⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠉⢂⠀⠀⢪⣆⠀⠀⠀⠋⢆⣠⣏⠀⠈⢻⣦⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢰⣇⠀⢸⠂⠀⢻⣀⢀⣤⠟⠀⠀⠈⠃⠂⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠉⠁⠀⠀⠀⠀⠀⠀⢸⣀⠀⠀⢻⣦⣶⠞⠋⠉⠀⢀⠀⠀⠀⠈⢫⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⣇⠀⢸⡂⠀⠀⢛⣿⠀⠀⢤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣦⠀⣀⠀⢈⣧⠀⠀⢠⣮⠁⠀⢄⠀⢀⣤⣀⢀⣦⢿⣇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⣇⠀⢸⣧⠀⠀⠀⣿⠀⠙⣿⣿⠋⠁⠉⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠀⠈⠉⣿⣏⠁⠀⠀⣯⠀⠀⢻⢆⢦⣄⣀⣠⡟⠁⠉⠉⠀⠀⠙⣧⣀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣯⠀⣇⠋⣧⡀⠀⢿⡖⢀⣿⠁⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣆⠀⠀⠀⢀⣿⠇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠈⢫⢁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠘⣧⣇⢀⣎⠋⣦⡟⠁⠀⠙⢿⣦⣤⣤⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⣶⣿⠋⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⣾⠀⢫⣀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠏⠀⢠⡏⠀⠀⢀⢀⢀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⢀⢠⣠⣾⠇⢾⠒⠀⠀⠀⠀⠀⠋⠀⢀⡇⢀⠀⠀⠀⠀⠀⠀⠀⣧⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⣏⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣦⠋⠀⠀⠀⠀⢀⣾⠋⣠⣿⠁⠀⢀⠀⠀⠀⠀⠀⣠⣏⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢺⣖⠀⠀⠀⠈⠋⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢪⣯⣄⠀⠀⠀⠀⣠⣦⡟⢣⣾⠋⣆⠀⠀⢀⠀⠀⠀⣠⣾⠋⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⢀⠀⢠⠀⠀⠀⠉⠋⠛⢲⣶⣦⣤⣤⣤⣤⣤⣤⣤⣦⣦⣶⣶⣶⠺⣿⢛⢫⣿⠟⢫⢋⠋⠛⠛⠋⢩⠃⠀⠀⠀⣠⣞⢀⢀⣂⣠⣶⠛⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⢷⣦⣎⣦⣇⣠⣤⣴⡃⠀⠈⢉⠋⠋⢩⣁⣀⣯⢧⣤⣀⢀⣧⠀⠀⢋⠁⠀⠀⠈⠋⢧⣦⣤⣄⢈⣧⣤⣾⣟⢡⣴⢏⣿⣏⣁⣀⠀⠀⠀⠀⠀⣰
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣆⢻⣅⣮⡃⠀⠈⢧⣀⠀⢸⠀⣰⠋⣿⢫⣿⣦⣿⣏⣏⠋⣆⠀⣆⠀⠀⠀⢀⣶⠋⠀⠀⢫⣧⣀⠈⢸⡏⢉⢉⢫⣀⠀⠀⠉⢫⣦⠀⠀⢰⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⠁⢀⠈⢠⣏⠀⠀⢰⠋⠁⠀⢸⠀⠈⢣⣤⣾⠋⢸⡋⢿⣤⣎⢁⣤⣿⠃⣦⣤⣮⣅⢠⣴⣦⢮⢿⣯⢷⣿⠋⠉⣯⣆⠈⠛⣦⣀⣮⠃⠀⣠⠏⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢪⠃⠀⣎⠀⢸⣆⠀⠀⢪⣦⣤⣄⣮⣆⠆⣦⣌⣸⣦⣮⣧⣼⣆⠀⢋⣠⣤⣿⠀⠀⠀⠀⢣⣠⣧⠀⣀⣼⣿⠋⢳⣷⢮⢿⣤⣠⣦⠋⠀⢀⣦⠋⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢀⣪⠀⠀⣰⠋⢋⠀⢺⠋⠉⠉⠉⠉⠃⢢⣀⢫⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⢀⠀⠉⢫⠋⠁⣧⠀⠀⢠⡇⠀⠀⠈⢣⠀⢀⣴⠋⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠈⠀⠀⠀⠋⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠋⠀⠀⠛⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⠐⠛
⠀⠀⢠⣆⣆⣀⠀⠀⠀⠀⠀⠀⠀⢠⣮⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢈⢀⢀⢂⠀⠀⠀⠀⠀⠀⢠⠃⠈⣆⠉⠛⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣦⠖⢃⣄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⢀⢀⢀⠀⠀⠀⠀⠀⠀⣿⠀⢀⠋⣄⠀⠀⠈⠋⢢⣄⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣀⢀⢀⣠⢴⣦⣤⣀⣀⠀⠀⠀⢀⣠⣦⠊⠋⠁⠀⠀⠀⣴⠈⢫⢀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢪⢀⢀⠀⠀⠀⠀⠀⠀⢻⣄⣫⠀⠈⢆⠀⠀⠀⢠⠎⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⢈⣆⣎⠀⠀⠀⠀⠈⠉⠻⣦⣄⠁⠀⠀⠀⠀⠀⠀⢠⣾⠁⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠁⠁⠀⠀⠀⠀⠀⠀⠀⢫⣤⠚⠋⠉⠉⢛⣦⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⢀⣦⠋⢸⠀⠀⠀⣯⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⣆⣆⣀⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⠘⢊⢀⢀⢀⢠⠠⠠⠄⠀⠀⠀⠀⠀⠀⠊⢄⢀⢀⠀⠀⠀⠀⠀⢀⣠⣮⢆⢦⣤⣠⣏⠀⠀⣮⢃⠀⢀⣯⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠃⠃⠀⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⠀⠀⠀⢀⣠⣠⢆⠂⠂⠂⠊⠃⠃⠃⠓⠲⢶⣦⣤⣄⣀⠀⠀⠀⠀⢀⢈⠁⠀⠀⠀⠀⠋⣦⠀⠀⢰⣎⠀⢸⣏⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣦⠃⠉⢫⢄⣠⣊⠀⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠋⢳⣦⣤⣀⠀⠈⢢⣀⠀⠀⠀⢫⡀⠀⢦⠊⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⠀⢠⡆⢢⣎⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣤⠀⠀⢢⢀⣠⣾⠃⣦⠎⠀⢠⣏⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⢠⣇⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⢈⢁⢀⢒⢁⢀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⣾⣦⠎⠀⠀⠀⠀⠀⠀⠀⠀⢰⣇⠀⣀⠀⠀⠀⠀⠀⠀⢀⣦⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢀⣦⢋⠉⠉⠉⠉⠋⢻⣏⠁⢣⣄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣆⢀⠇⠀⠀⠀⠀⠀⠀⣀⠀⠀⢸⢃⣄⢃⠀⠀⠀⠀⠀⠀⢀⣇⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⣎⠀⠀⢢⠉⠃⢢⣄⣰⡃⠀⠀⢧⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⡏⢀⣾⠀⢠⡆⠀⠀⠀⢰⠋⠑⢢⢎⠀⠈⠀⢣⢆⢆⢆⠆⠂⠊⠃⠃⠊⠓⠓⠓⢲⠞⠁⢣⢀⠀⠀⠀⢣⠀⠀⠀⢣⠊⠊⠁⢸⣤⣤⣤⣮⢇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣯⠀⢸⡇⠀⣾⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠉⢂⠀⠀⢪⣆⠀⠀⠀⠋⢆⣠⣏⠀⠈⢻⣦⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢰⣇⠀⢸⠂⠀⢻⣀⢀⣤⠟⠀⠀⠈⠃⠂⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠉⠁⠀⠀⠀⠀⠀⠀⢸⣀⠀⠀⢻⣦⣶⠞⠋⠉⠀⢀⠀⠀⠀⠈⢫⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⣇⠀⢸⡂⠀⠀⢛⣿⠀⠀⢤⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣤⣦⠀⣀⠀⢈⣧⠀⠀⢠⣮⠁⠀⢄⠀⢀⣤⣀⢀⣦⢿⣇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⣇⠀⢸⣧⠀⠀⠀⣿⠀⠙⣿⣿⠋⠁⠉⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠀⠈⠉⣿⣏⠁⠀⠀⣯⠀⠀⢻⢆⢦⣄⣀⣠⡟⠁⠉⠉⠀⠀⠙⣧⣀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣯⠀⣇⠋⣧⡀⠀⢿⡖⢀⣿⠁⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣆⠀⠀⠀⢀⣿⠇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠈⢫⢁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠘⣧⣇⢀⣎⠋⣦⡟⠁⠀⠙⢿⣦⣤⣤⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⣶⣿⠋⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⣾⠀⢫⣀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠏⠀⢠⡏⠀⠀⢀⢀⢀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⢀⢠⣠⣾⠇⢾⠒⠀⠀⠀⠀⠀⠋⠀⢀⡇⢀⠀⠀⠀⠀⠀⠀⠀⣧⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⣏⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣦⠋⠀⠀⠀⠀⢀⣾⠋⣠⣿⠁⠀⢀⠀⠀⠀⠀⠀⣠⣏⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢺⣖⠀⠀⠀⠈⠋⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢪⣯⣄⠀⠀⠀⠀⣠⣦⡟⢣⣾⠋⣆⠀⠀⢀⠀⠀⠀⣠⣾⠋⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⢀⠀⢠⠀⠀⠀⠉⠋⠛⢲⣶⣦⣤⣤⣤⣤⣤⣤⣤⣦⣦⣶⣶⣶⠺⣿⢛⢫⣿⠟⢫⢋⠋⠛⠛⠋⢩⠃⠀⠀⠀⣠⣞⢀⢀⣂⣠⣶⠛⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⢷⣦⣎⣦⣇⣠⣤⣴⡃⠀⠈⢉⠋⠋⢩⣁⣀⣯⢧⣤⣀⢀⣧⠀⠀⢋⠁⠀⠀⠈⠋⢧⣦⣤⣄⢈⣧⣤⣾⣟⢡⣴⢏⣿⣏⣁⣀⠀⠀⠀⠀⠀⣰
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣆⢻⣅⣮⡃⠀⠈⢧⣀⠀⢸⠀⣰⠋⣿⢫⣿⣦⣿⣏⣏⠋⣆⠀⣆⠀⠀⠀⢀⣶⠋⠀⠀⢫⣧⣀⠈⢸⡏⢉⢉⢫⣀⠀⠀⠉⢫⣦⠀⠀⢰⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⠁⢀⠈⢠⣏⠀⠀⢰⠋⠁⠀⢸⠀⠈⢣⣤⣾⠋⢸⡋⢿⣤⣎⢁⣤⣿⠃⣦⣤⣮⣅⢠⣴⣦⢮⢿⣯⢷⣿⠋⠉⣯⣆⠈⠛⣦⣀⣮⠃⠀⣠⠏⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢪⠃⠀⣎⠀⢸⣆⠀⠀⢪⣦⣤⣄⣮⣆⠆⣦⣌⣸⣦⣮⣧⣼⣆⠀⢋⣠⣤⣿⠀⠀⠀⠀⢣⣠⣧⠀⣀⣼⣿⠋⢳⣷⢮⢿⣤⣠⣦⠋⠀⢀⣦⠋⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢀⣪⠀⠀⣰⠋⢋⠀⢺⠋⠉⠉⠉⠉⠃⢢⣀⢫⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⢀⠀⠉⢫⠋⠁⣧⠀⠀⢠⡇⠀⠀⠈⢣⠀⢀⣴⠋⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠈⠀⠀⠀⠋⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠋⠀⠀⠛⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⠐⠛
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