⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⡴⣤⣄⣦⠻⠈⠀ ⠀⠀⠀⠀⠋⠛⠶⠶⠶⠶⠷⠛⠉⠉⠈⠀⡄⣶⠛⡾⣿⣽⠚⡴⢠⠀ ⠀⠀⠏⣴⣀⠀⠉⠉⠉⠉⠈⡅⣿⣠⣄⣾⣤⣧⡹⣄⣀⢀⠀⠀⠀⠀ ⠀⠛⣺⠁⠞⣤⣀⣀⣀⣤⣤⣶⣠⠀⠀⠀⠀⡇⢹⠀⠀⠀⠀⠀⠀⠀ ⡇⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⠀⠀⠀⠀⠀⠀⠀ ⡆⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⣆⣿⠘⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⠀⠀⠀⡄⣤⣦⠿⠘⠀⠀⠀⠀ ⠀⠀⡀⣤⢶⠛⠙⠈⠀⠀⠀⢱⢸⠀⠀⠀⠁⠒⠒⠀⡏⢾⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡄⣷⠹⠀⡄⢒⡉⢏⠀⠀⢲⠒⡠⠀⡹⣬⠶⠻⠙⠀ ⠀⠀⠀⠀⠀⠃⡿⣴⣉⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠛⡟⡿⣶⠠ ⠀⠀⠀⠀⠆⣶⢿⣿⠿⠛⠛⠛⠓⠛⠛⠛⠛⠿⣶⣴⣤⣠⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠓⠈⠶⠶⠀⠃⠘⠈⠀⠀⠞⡩⢨⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡻⡠⠀⠀⠀⠉⠛⠛⠛⣉⠀⠀⡀⡄⢲⠙⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠇⣃⠀⠀⠀⡷⢖⠷⠚⠶⡴⢿⠀⠀⠀⠀⡀⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⡄⠛⠀⠀⠀⡿⣋⣾⠶⠳⠈⣿⠀⠁⠒⠉⡪⡠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢦⠓⠁⡉⢉⠉⠉⠉⣉⢢⠝⢒⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣀⣀⠀⠀⡀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠟⣶⣠⣄⢦⠳⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡄⢶⠝⢪⡷⠹⠉⣛⢿⠀⠀⠀⠀⠀⠀⠋⠿⠿⠷⠶⠷⠿⠛⠉⠈⠀⠀ ⠀⠀⠀⠀⠉⠛⡛⣟⢽⣿⣴⣀⣄⠦⠻⠛⠛⠛⠟⣿⣠⠃⠩⠉⠬⠑⡀⣄⣶⠻⠈ ⠀⠀⠁⡿⣴⣀⢀⠀⡀⣄⢠⠀⠀⠀⠀⠀⠀⠀⡀⣦⣶⣶⣤⣤⣤⣦⠷⠘⠀⣏⢾ ⠀⠀⡄⣿⠉⠉⠉⠟⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⣿⢘ ⠀⠀⠟⣿⢱⣀⣀⣤⢖⠘⠀⠉⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢿ ⠃⡿⣵⢝⢉⢋⠀⠀⠊⡤⣀⣀⣤⣤⢠⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣸ ⣤⣤⣤⣤⣤⣤⣶⠷⢛⠙⠋⠈⠈⠉⠉⠃⠟⠻⠛⠈⠀⠀⠀⠀⠀⠀⠀⠋⡿⣼⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣏⢸⢸⠁⡫⣿⣠⣤⡀⣦⢷⠿⠛⠛⠿⠿⣶⣴⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢸⠏⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣶⣠⢀⠊⠛⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⡹⠉⡕⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢁⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⠭⡒⣔⠤⠤⠀⠀⠀⣤⠳⠚⠒⠐⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡱⠔⣀⠀⠀⠋⠟⠾⠾⠦⠷⠛⠀⠀⠀⠀⣇⠣⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⡸⠀⠀⠀⠆⣹⣤⣖⠀⣣⢟⣿⢨⠀⠀⠁⡙⡰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢸⠀⠀⠀⠀⣿⣛⣾⣤⣦⢿⣟⢸⠀⠉⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠲⠛⠒⠒⣛⢈⠀⠀⠀⠀⡀⠊⡞⣠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢠⠶⠶⠲⣤⡠⠀⠀⠀⠀⠀⠀⠀⠀