⠀⠀⠀⠀⡙⢿⠁⠿⡷⠀⠀⠀⠀⠀⠦⠙⠀⠀⠀⠀⠀⠀⠀⠁⡜⠟⣃⢽⠺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡄⡳⣤⠏⣇⣿⠟⠀⠀⠀⠀⠀⠀⣆⠙⠀⠀⠀⠀⠃⡿⡟⡞⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⣹⢳⡶⣿⡽⠀⠀⠀⠀⠀⠀⠀⣇⠙⠀⠀⣿⣿⢮⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠏⠨⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡆⢷⠙⡞⣻⢸⠀⠀⠀⠀⠀⠀⠀⠁⢉⠛⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣴⠂⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡄⡄⠸⠂⡞⡟⠀⠀⠀⠀⠀⠀⠀⡤⠀⣀⡀⣦⠓⠈⠀⠀⠀⠀⠀⠀⠀⡏⣼⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣷⢼⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⣾⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡏⣦⣽⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⢡⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀ ⠏⠥⠭⠯⠓⠈⠀⠀⠁⡿⣼⠺⠐⢥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠁⠀⠋⣿⢏⣡⠋⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⡽⣤⣦⢾⢦⠖⡥⡾⣵⡴⠀⠀⠤⠲⠓⠈⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⡯⣮⡡⠜⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣹⣻⣇⠀⠀⡄⠒⠒⠄⢀⠁⠉⠉⠀⠀⠀⠀⣇⠉⠉⠀⠀⠀⠀⢰⠀⠀⠀⡇⠞⣠⠀⠋⠤⠦⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣺⢇⢰⠀⠀⠀⠀⠀⠀⠀⡇⢀⠀⡀⠧⠋⠴⡯⣿⣿⣯⣿⠣⠚⠗⠶⠶⡟⠩⠉⡀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡆⡏⠴⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠊⢠⠀⠿⣦⠐⡄⢿⣄⣿⠀⠀⠃⡷⠹⡀⣧⣵⢿⠀⠀⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠞⠦⠛⠈⠀⠀⠀⠀⢣⡏⢸⠀⠀⠀⠀⠀⠁⣟⡅⠋⠓⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⡼⡾⠹⠉⠛⠝⢫⡗⠙⠀⠀⠀⠁⠋⡭⣧⡀⠋⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⡮⠶⠒⡴⠀⠀⣏⣟⣁⣸⣀⣁⣿⡩⡍⡞⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡏⢀⢦⠙⣈⣭⣭⣭⣭⣯⣉⠉⠴⠀⡀⢧⠈⠀⠀⠀⠉⠛⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⢒⡟⠉⠀⠃⡾⠁⣸⢤⡤⠀⢠⠀⠀⣻⢿⠀⠁⡞⢠⠇⣋⢒⡕⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠒⣴⣼⠀⡁⠫⣿⣿⠟⠿⠹⠉⠉⠿⠿⠋⠟⣩⢹⡼⠀⡇⠛⠛⢻⣻⠓⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡽⢉⠟⣿⡄⠧⠈⣿⠀⣀⣇⣯⣤⢀⡀⣄⣷⣡⣏⣀⣼⣿⠛⠖⣴⢥⢋⡔⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣦⣦⠖⢓⠉⠀⢃⢦⡟⠉⠀⡇⠀⠀⠀⠀⠀⡇⠀⠀⠀⢁⣰⢻⠓⠞⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠿⡐⣤⠦⣒⠙⠉⠉⠋⡴⠀⠀⠀⠁⠞⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⡎⠚⠛⠒⠙⠈⠁⠈⠀⠀⠁⠁⠉⠾⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠋⢠⡆⢻⡏⠀⠀⣇⣀⣀⣦⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⢦⠒⠖⢠⠀⠀⠀⡆⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀