⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⣿⢷⡟⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣇⠘⡇⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢿⠏⠀⢹⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⣧⣤⠘⡾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣄⠠⢄⠀⠀⠀⠀⠀⠀⠀⠀⡠⢎⡱⣈⢧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢸⡟⠻⣇⠱⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⢒⣺⠭⠿⠋⢉⣿⣧⠟⠀⠀⠀⠀⠀⠀⡠⢎⣵⡮⣵⣭⢻⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠸⣷⠀⡇⣆⡇⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠤⠐⠊⠉⣠⡶⠾⣿⡗⠀⢀⠔⣫⠝⠁⠀⠀⠀⠀⠀⢠⢎⣵⣿⣿⣿⣿⡇⢿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠡⣴⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⠤⠒⠉⠀⠀⣀⣤⢖⡛⢁⡤⠟⡡⣒⠭⠚⠁⠀⠀⠀⠀⠀⣠⠞⣵⡿⡏⠽⣩⠟⣽⡏⡼⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⠟⠋⠙⠉⢉⠛⣿⣙⣛⠛⠿⢿⣷⠀⠀⠀⠀⠈⠉⠀⠀⠐⣒⡲⠟⠋⠁⠀⠀⠀⠀⠀⠀⣠⢎⣱⣿⡿⡝⡌⡑⢢⢛⢦⢻⠖⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣟⠻⠁⡄⠀⠀⠀⢂⣽⣿⣿⣿⣧⡀⠈⢻⣿⣦⣀⣀⡠⠤⠒⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢡⡾⡙⠦⡑⠡⢂⠁⣆⢫⠮⣝⠮⣹⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣇⢒⡄⠀⠀⠀⠈⠻⣿⠛⢋⡉⠙⠒⠀⠉⠻⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢞⣡⡟⡡⢑⢢⢁⠒⠠⡘⡴⣋⠗⣎⡱⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⠏⢻⡼⣥⣸⣄⣄⣀⣠⡻⢧⠉⠀⠀⠀⠀⠀⠀⠀⠈⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⢋⣼⠲⣿⣷⣷⣏⡶⣩⡜⢠⣱⢣⡹⠞⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⢙⠲⣊⠀⢻⣿⣟⣙⡽⢿⡿⠋⡄⠠⠀⠄⠀⠀⠀⠄⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢰⠘⣻⣭⢟⡿⣹⣷⢏⣴⠯⠒⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⡘⡄⣋⠀⡈⢻⡯⠭⠱⠞⠁⠠⢁⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⣗⠌⢢⢉⢻⣾⠇⣭⣿⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣴⣀⠣⡐⢡⠛⡬⠃⠔⠠⠁⠂⠌⠀⠄⠀⠀⠤⠀⠀⠡⠐⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠘⣌⠂⢆⢹⣟⣸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠪⢕⣈⣆⡱⢀⠇⠂⡄⢂⡁⢂⠌⣀⡶⠞⣀⡴⠖⠁⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⢸⠇⢨⣼⢳⣻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣶⠒⠒⠒⠒⠒⢊⠓⢮⣅⣢⣌⣱⣌⣲⡬⠷⠚⣽⠒⠋⠁⠀⠀⠀⠀⠀⠐⠀⠀⠱⡀⠀⠀⠀⢠⠞⠡⣘⣾⠟⣱⢯⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⡁⠀⠀⠀⠀⠀⠀⠀⠈⡖⠩⠩⠽⠽⠶⠖⠒⠚⠻⣄⡀⠀⠀⠀⠀⠀⡐⠠⠀⠄⠀⠙⡄⠀⢴⠃⡈⢄⡿⠁⣌⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢈⣷⠄⠀⠀⠀⠀⠀⠀⠀⣷⠀⠁⡀⠀⠀⠀⠀⠀⠀⠀⢻⣶⣀⡼⠃⢀⠐⠠⠀⠄⠀⠀⠘⢄⠈⢳⠀⣸⠃⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⠤⠔⠒⠒⠒⠤⠤⢾⣇⠠⠀⠂⠀⠀⠀⡀⢀⠀⡀⠀⠀⠀⠀⠀⠠⠀⠀⢀⠀⠀⠀⠈⠢⣨⠇⡀⠢⢈⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠇⠤⡑⡈⠤⢁⠰⢀⠂⠀⠁⠀⠈⠀⠈⢀⠐⠀⠀⡀⠄⠀⠀⠀⠈⢧⠠⢁⠂⣬⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡎⢆⠱⡈⠔⡁⠂⠄⠂⢈⠀⢈⠀⠄⠁⠠⠀⢈⠀⠄⡀⠀⠀⡀⢀⠈⣇⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢎⠥⣙⠰⢈⡐⠈⡀⢀⠀⠂⡀⠠⢁⠂⡁⢂⠐⠠⠘⠀⠁⠠⠀⠀⢧⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡍⡜⢢⠁⡎⡄⠐⢠⠀⡄⠀⠂⡄⢡⠀⠂⠐⠀⠀⠂⠀⠁⠀⠁⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⢡⠊⡐⠀⠌⡁⢆⠒⣠⢑⡢⢔⢢⠡⢌⠐⡀⠁⠀⣠⠁⠠⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡒⢠⠁⡌⡐⠈⡜⢡⣫⠜⠛⠚⠓⠮⣐⠤⠀⠀⡿⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠺⣆⠀⠁⢸⠉⠀⠀⠀⠀⠀⠀⠀⠙⠒⠡⢿⡀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣀⢀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠙⣋⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⠦⠟⢋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀