⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠋⠉⣧⠅⠁⣭⡦⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⡗⣢⠞⠛⡏⠋⠒⢿⠇⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡽⣏⠑⣾⢓⣦⡤⡼⠸⡍⣙⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⣨⣷⣌⣉⣧⠼⢃⣔⡱⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠂⠒⠂⠋⠁⠀⡀⡀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡶⠶⠦⠶⠶⠶⠖⠆⠋⠛⠛⠛⠉⠉⠉⡗⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡸⡇⠀⠀⠀⠀⢀⡠⠤⠤⠤⣀⡀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠅⠀⠀⠀⣰⠋⢣⡀⣀⡞⠁⣟⡆⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣯⠀⠀⠀⠀⣿⠀⢀⡝⣇⡀⠀⡸⡇⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣇⠀⠀⠀⠀⠈⠓⠯⣄⣀⣽⠶⠋⠀⠀⠀⠀⢸⡂⠀⠀⠀⠀ ⠀⠀⣄⣀⠀⠀⠈⠉⠉⠋⠛⠷⠷⢯⡇⠟⠍⡥⠭⠍⠿⠟⠗⠇⣿⣿⢧⡀⠀⠀ ⠀⢀⡏⢏⡉⠓⠤⢄⣀⡀⠀⠀⠀⢸⡇⠀⠀⡇⢀⣀⣤⢦⡒⢉⡵⠁⠈⣧⠀⠀ ⠀⣰⠁⠀⠉⠢⣴⡃⠀⠉⠉⠒⠦⠜⠀⠀⠀⠛⠉⠁⢀⡠⠗⠃⠀⠀⠀⢸⡇⠀ ⠀⡇⠀⠀⠀⠀⠀⠈⠉⠒⠒⠦⣤⡤⠄⠀⠀⠀⣶⡋⠉⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⢘⡇⠀⠀⠀⠀⠀⠀⠀⠀⡠⠛⠉⢀⡆⠀⡀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⢸⠀⠀⠀⠀⠀⠀⣠⡴⠋⠁⡠⡔⡇⠀⠀⡟⣆⠀⠀⠱⣄⠀⠀⠀⠀⠀⠀⡟⡀ ⣚⠀⠀⠀⣀⡔⠺⣅⣀⡤⠏⠁⠀⡇⠀⠀⡇⠀⠉⢦⣀⡤⠣⣄⠀⠀⠀⢰⠃⠅ ⢝⠀⣿⡯⠵⠦⠛⠉⠁⠀⠀⠀⠀⡇⠀⠀⡇⠀⠀⠀⠈⠁⠲⠮⢽⠦⠀⡜⡘⠀ ⣬⠀⠱⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣃⠀⠀⠀⠀⠀⠀⠀⣟⡁⠀⣇⠅⠀ ⣺⠀⠀⢏⡅⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⠀⡸⡀⠀⠀⠀⠀⠀⠀⣿⠀⢀⡏⠀⠀ ⣪⠀⠀⠈⣎⡀⠀⠀⠀⠀⠀⠀⣸⠐⡇⠀⢂⡇⠀⠀⠀⠀⠀⣐⡏⠀⢨⠃⠀⠀ ⡂⡇⠀⠀⠢⠇⠀⠀⠀⠀⠀⢀⡇⢣⡃⢆⢕⠱⡀⠀⠀⠀⠀⡃⠇⠀⡎⠀⠀⠀ ⢂⡇⠀⠀⠀⢋⡄⠀⠀⠀⠀⢘⢰⠇⢅⡇⡷⡊⠅⠀⠀⠀⡌⡥⠁⢘⠁⠀⠀⠀ ⠨⢘⠀⠀⠀⠀⢣⡀⠀⠀⠀⢨⢗⡡⣅⡯⡩⠀⠁⠀⠀⠠⡋⠃⢀⡏⠀⠀⠀⠀ ⠀⠁⢇⠀⠀⠀⠀⢇⠀⠀⠀⣸⣂⢉⣯⣏⣥⢍⠀⠀⡠⠏⠂⠀⡜⠀⠀⠀⠀⠀ ⠀⠨⠀⢅⠀⠀⠀⠀⢳⡀⠀⡒⠀⢃⣿⣿⡇⡡⠀⢀⣿⠁⠀⣠⠁⠀⠀⠀⠀⠀ ⠀⠀⠡⠈⡄⠀⠀⠀⠀⢋⣆⠗⠔⡋⣿⡯⢆⡘⣀⢷⠅⠀⡠⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠅⠈⡆⠀⠀⠀⠀⠑⣷⡄⢭⡅⣛⡄⡰⡋⠀⠀⣠⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢂⠘⣄⠀⠀⠀⢐⡅⡯⠥⡷⡟⡕⡌⠡⠀⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⡈⢢⠀⠀⠔⠳⢍⣿⣗⡷⡏⠄⢃⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠢⡑⣄⠉⠷⣻⣹⣞⡝⢋⣅⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⡲⣯⡵⣝⡏⣅⣁⣀⡏⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡐⡕⢆⣟⣟⡐⡿⣉⡧⣽⠁⣫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣐⢥⡞⡮⡱⣻⡙⡝⣋⣵⡺⡅⠟⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣔⠮⡢⣏⣇⣛⣻⠻⡥⢅⡖⠓⡗⣸⣡⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢷⢋⡰⠫⡛⠭⠀⣵⣿⢏⡍⡨⡧⠃⢸⡇⠰⣰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢂⣄⡵⠩⠔⠿⠅⡇⠵⢆⣆⠑⡄⢧⣂⠊⡓⡫⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠂⡈⣀⡩⣐⣁⡇⡅⠃⡈⣡⣅⡃⡕⡃⠒⡤⡢⡡⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣔⠂⠄⡢⠰⢃⡄⠏⡨⢠⢁⣂⡁⡄⡿⣀⣷⣯⣜⢥⠗⡆⠀⠀⠀⠀⠀⠀ ⠀⣐⠇⡐⠀⡋⠁⡈⠌⠁⠻⣻⢕⢇⠇⠴⠃⡆⠨⡊⠩⠏⠀⢒⠀⠀⠀⠀⠀⠀