⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⡏⢢⡁⠂⠤⣀⣀⣀⣀⣀ ⠤⠐⢈⡔⢹
⠀⠀⠀⠀⢿⡀⠙⠆⠀⠉⠀⠀⠀⠀⠉⠀⠰⠋⢀⡿
⠀⠀⠀⠀⠈⢷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡾⠁
⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹
⣰⠊⠉⠉⠉⡇⠀⠢⣤⣄⠀⠀ ⣠⣤⠔⠀⢸
⠙⠓⠒⢦⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎
⠀⠀⠀⠀⡇⠀⠀⠏⠑⠒⠀⠉⠀⠒⠊⠹
⡎⠉⢹⠀⠙⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⡏⠉⢱
⢧⡈⠛⠉⠉⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠉⠉⠋⢁⡼
⠀⢉⣿⠖⠚⠛⢋⢀⠀⠀⠀⠀⠀⠀⠀⡀⡙⠛⠓⠲⣿⣄
⠀⢸⡇⠀⠀⠀⡞⠁⠈⡃⠀⠀⠀⠀⢘⠁⠈⢳⠀⠀⠀⢸⡇
⠀⠈⢷⣄⠀⠀⠙⠦⠌⠑⠢⠤⠔⠊⠁⢠⠎⠀⠀⣠⡾⠁
⠀⠀⠀⠈⠛⠲⠤⣤⣀⣀⣀⣀⣠⣤⣚⣡⠤⠖⠛⠁

⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⡏⢢⡁⠂⠤⣀⣀⣀⣀⣀ ⠤⠐⢈⡔⢹
⠀⠀⠀⠀⢿⡀⠙⠆⠀⠉⠀⠀⠀⠀⠉⠀⠰⠋⢀⡿
⠀⠀⠀⠀⠈⢷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡾⠁
⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹
⣰⠊⠉⠉⠉⡇⠀⠢⣤⣄⠀⠀ ⣠⣤⠔⠀⢸
⠙⠓⠒⢦⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎
⠀⠀⠀⠀⡇⠀⠀⠏⠑⠒⠀⠉⠀⠒⠊⠹
⡎⠉⢹⠀⠙⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⡏⠉⢱
⢧⡈⠛⠉⠉⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠉⠉⠋⢁⡼
⠀⢉⣿⠖⠚⠛⢋⢀⠀⠀⠀⠀⠀⠀⠀⡀⡙⠛⠓⠲⣿⣄
⠀⢸⡇⠀⠀⠀⡞⠁⠈⡃⠀⠀⠀⠀⢘⠁⠈⢳⠀⠀⠀⢸⡇
⠀⠈⢷⣄⠀⠀⠙⠦⠌⠑⠢⠤⠔⠊⠁⢠⠎⠀⠀⣠⡾⠁
⠀⠀⠀⠈⠛⠲⠤⣤⣀⣀⣀⣀⣠⣤⣚⣡⠤⠖⠛⠁

⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⡏⢢⡁⠂⠤⣀⣀⣀⣀⣀ ⠤⠐⢈⡔⢹
⠀⠀⠀⠀⢿⡀⠙⠆⠀⠉⠀⠀⠀⠀⠉⠀⠰⠋⢀⡿
⠀⠀⠀⠀⠈⢷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡾⠁
⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹
⣰⠊⠉⠉⠉⡇⠀⠢⣤⣄⠀⠀ ⣠⣤⠔⠀⢸
⠙⠓⠒⢦⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎
⠀⠀⠀⠀⡇⠀⠀⠏⠑⠒⠀⠉⠀⠒⠊⠹
⡎⠉⢹⠀⠙⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⡏⠉⢱
⢧⡈⠛⠉⠉⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠉⠉⠋⢁⡼
⠀⢉⣿⠖⠚⠛⢋⢀⠀⠀⠀⠀⠀⠀⠀⡀⡙⠛⠓⠲⣿⣄
⠀⢸⡇⠀⠀⠀⡞⠁⠈⡃⠀⠀⠀⠀⢘⠁⠈⢳⠀⠀⠀⢸⡇
⠀⠈⢷⣄⠀⠀⠙⠦⠌⠑⠢⠤⠔⠊⠁⢠⠎⠀⠀⣠⡾⠁
⠀⠀⠀⠈⠛⠲⠤⣤⣀⣀⣀⣀⣠⣤⣚⣡⠤⠖⠛⠁

⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⡏⢢⡁⠂⠤⣀⣀⣀⣀⣀ ⠤⠐⢈⡔⢹
⠀⠀⠀⠀⢿⡀⠙⠆⠀⠉⠀⠀⠀⠀⠉⠀⠰⠋⢀⡿
⠀⠀⠀⠀⠈⢷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡾⠁
⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹
⣰⠊⠉⠉⠉⡇⠀⠢⣤⣄⠀⠀ ⣠⣤⠔⠀⢸
⠙⠓⠒⢦⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎
⠀⠀⠀⠀⡇⠀⠀⠏⠑⠒⠀⠉⠀⠒⠊⠹
⡎⠉⢹⠀⠙⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⡏⠉⢱
⢧⡈⠛⠉⠉⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠉⠉⠋⢁⡼
⠀⢉⣿⠖⠚⠛⢋⢀⠀⠀⠀⠀⠀⠀⠀⡀⡙⠛⠓⠲⣿⣄
⠀⢸⡇⠀⠀⠀⡞⠁⠈⡃⠀⠀⠀⠀⢘⠁⠈⢳⠀⠀⠀⢸⡇
⠀⠈⢷⣄⠀⠀⠙⠦⠌⠑⠢⠤⠔⠊⠁⢠⠎⠀⠀⣠⡾⠁
⠀⠀⠀⠈⠛⠲⠤⣤⣀⣀⣀⣀⣠⣤⣚⣡⠤⠖⠛⠁

⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⡏⢢⡁⠂⠤⣀⣀⣀⣀⣀ ⠤⠐⢈⡔⢹
⠀⠀⠀⠀⢿⡀⠙⠆⠀⠉⠀⠀⠀⠀⠉⠀⠰⠋⢀⡿
⠀⠀⠀⠀⠈⢷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡾⠁
⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹
⣰⠊⠉⠉⠉⡇⠀⠢⣤⣄⠀⠀ ⣠⣤⠔⠀⢸
⠙⠓⠒⢦⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎
⠀⠀⠀⠀⡇⠀⠀⠏⠑⠒⠀⠉⠀⠒⠊⠹
⡎⠉⢹⠀⠙⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⡏⠉⢱
⢧⡈⠛⠉⠉⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠉⠉⠋⢁⡼
⠀⢉⣿⠖⠚⠛⢋⢀⠀⠀⠀⠀⠀⠀⠀⡀⡙⠛⠓⠲⣿⣄
⠀⢸⡇⠀⠀⠀⡞⠁⠈⡃⠀⠀⠀⠀⢘⠁⠈⢳⠀⠀⠀⢸⡇
⠀⠈⢷⣄⠀⠀⠙⠦⠌⠑⠢⠤⠔⠊⠁⢠⠎⠀⠀⣠⡾⠁
⠀⠀⠀⠈⠛⠲⠤⣤⣀⣀⣀⣀⣠⣤⣚⣡⠤⠖⠛⠁

⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⡏⢢⡁⠂⠤⣀⣀⣀⣀⣀ ⠤⠐⢈⡔⢹
⠀⠀⠀⠀⢿⡀⠙⠆⠀⠉⠀⠀⠀⠀⠉⠀⠰⠋⢀⡿
⠀⠀⠀⠀⠈⢷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡾⠁
⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹
⣰⠊⠉⠉⠉⡇⠀⠢⣤⣄⠀⠀ ⣠⣤⠔⠀⢸
⠙⠓⠒⢦⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎
⠀⠀⠀⠀⡇⠀⠀⠏⠑⠒⠀⠉⠀⠒⠊⠹
⡎⠉⢹⠀⠙⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⡏⠉⢱
⢧⡈⠛⠉⠉⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠉⠉⠋⢁⡼
⠀⢉⣿⠖⠚⠛⢋⢀⠀⠀⠀⠀⠀⠀⠀⡀⡙⠛⠓⠲⣿⣄
⠀⢸⡇⠀⠀⠀⡞⠁⠈⡃⠀⠀⠀⠀⢘⠁⠈⢳⠀⠀⠀⢸⡇
⠀⠈⢷⣄⠀⠀⠙⠦⠌⠑⠢⠤⠔⠊⠁⢠⠎⠀⠀⣠⡾⠁
⠀⠀⠀⠈⠛⠲⠤⣤⣀⣀⣀⣀⣠⣤⣚⣡⠤⠖⠛⠁