⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠐⠌⣎⣉⣌⢛⡤⣂⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡊⠀⠀⠰⠑⠌⣧⠀⠘⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣹⢈⠓⢦⣱⣵⣦⡀⠀⠉⠁⠐⠢⢤⠄⣀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⡔⠦⠔⢡⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡅⠎⢄⠀⠨⠋⠡⠉⠂⢄⠀⠀⢀⠀⠈⠁⠸⠳⢦⣀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢴⡙⢂⠭⠤⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⠀⠠⠈⠄⠑⠠⢀⣀⠑⢄⣀⠨⠐⠍⢀⡤⠀⠀⠐⢄⠀⠉⠑⢒⣪⠃⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠂⢸⢀⠀⢫⡪⣆⠀⠀⠀⠀⠀⠀⠀⠈⡩⠪⠀⠀⠀⠀⠀⢪⠢⣈⡻⣄⠀⠀⠀⠀⡰⠀⠸⢰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠆⡰⡁⠢⡢⠀⠺⡸⠕⡤⢀⡀⠤⠔⠂⠡⡀⠀⢡⠀⠡⠀⠀⠀⢣⠀⠉⠚⠉⣉⢝⡫⠁⠀⡆⡎⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡘⠈⠰⡇⠀⠈⠂⠬⣪⣐⣠⣏⠐⠋⣂⠀⠀⠈⠢⡌⠀⠀⠱⡣⠀⠀⢣⠐⣖⠗⠪⡁⠀⠀⠠⢰⠁⠀⢦⡲ ⠀⠀⠀⠀⠀⢠⠁⢀⡓⠀⡆⠈⡄⠢⣃⠀⢂⣏⣦⡀⠐⠇⣒⡆⣄⠀⠑⠤⣀⠩⢑⢤⢀⠣⡈⠺⠖⣈⡦⢄⣳⣏⣀⣞⣵⢡ ⠀⠀⠀⠀⢀⠟⠀⠈⠀⠀⣡⠀⢩⣢⡙⡢⢈⣁⢴⣮⣶⡬⢻⣛⡷⡙⠽⠀⠀⠉⠑⢻⠓⣥⡌⣪⣆⡤⡠⡤⠴⠒⡕⡱⢁⠃ ⠀⠀⠀⠀⠀⡆⠈⡇⠀⡠⣘⣧⡄⢶⣭⡛⠢⠭⡂⠥⠧⠉⠉⢉⢔⣔⠡⡐⠁⠀⡐⡆⠈⠼⠌⢢⢠⢀⡙⢆⢊⡻⡲⢡⠃⠀ ⠀⠀⠀⠀⢔⠜⠀⢣⠀⢃⡟⣕⣽⣧⣷⡱⠓⠦⠬⠨⠠⠒⠲⠧⠥⠔⠕⢀⡴⠵⣚⠢⣀⠈⢫⣴⣾⠉⢁⠴⣯⢉⠌⣄⠁⠀ ⠀⠀⠴⠈⠡⠄⡄⡀⢵⠬⡟⠿⡹⠋⠘⠦⠀⠀⠀⠀⠀⣀⠀⠤⠎⠎⢐⡼⢋⢜⠮⢃⢮⠕⣄⠎⠙⢕⡋⡻⠛⠚⠋⢾⡀⠀ ⠀⠀⠀⠀⠀⠀⢠⣧⠠⡉⣒⣟⠖⠀⠀⠈⠈⢂⠀⠀⠀⠀⠉⠐⠖⣠⣫⡴⢃⣈⣉⣵⡅⢠⠈⡠⡉⢫⣁⠀⠱⡀⢤⠀⢧⠀ ⠀⠀⠀⠀⠀⠀⡆⢻⠣⡈⠙⠒⠓⡲⠃⠀⢰⣪⠝⠋⠀⠀⠀⠀⠉⠐⠁⠀⡾⢹⣿⢎⣴⡀⢣⠀⢉⢤⡀⠩⣔⠊⠢⠥⡚⡀ ⠀⠀⢀⠔⡨⡁⠐⠌⡣⢈⣩⠏⢩⠣⡀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠔⠁⢸⣿⠀⡎⠸⠘⡑⡘⢢⣙⣴⡒⠁⠂⠄⣐⡃ ⠀⠔⠁⠌⠀⣇⠀⠀⣀⡔⢁⣇⠌⠀⠑⣄⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⣸⣟⣣⡇⡄⠀⢡⡌⠂⢕⣄⡀⠀⠀⠀⠀⢰ ⠊⠀⡸⠀⠀⠑⢀⡨⠀⠠⠚⠁⠆⠀⡌⢺⢦⡀⢀⠄⠒⠀⠀⠀⠀⣀⠤⠔⠒⠚⠴⠃⢧⠃⠰⠀⠞⠄⣀⠈⠉⠒⠆⠠⡶⠃ ⠀⢀⠇⠀⠀⢀⡔⠀⣠⠁⠀⡘⠀⡐⢠⠈⢸⣋⠉⠉⢃⣂⢠⠐⠚⡀⠀⠀⠀⠀⠀⠀⡘⠇⠀⠀⠋⠌⠑⠨⢐⡲⡀⠉⠀⠀ ⠀⠘⠀⠀⣢⢱⡠⢪⠂⠆⡜⠠⠈⢀⡢⢺⢸⠙⠀⢰⠉⠠⠁⢂⠀⡅⠄⠀⠀⠀⢀⠔⠰⢠⠑⡄⠘⡘⡢⡀⠑⠫⣏⣅⡒⠢ ⠀⡇⢠⢊⡚⠀⠠⢻⢈⠌⠀⠀⠀⠉⠀⢸⡼⠐⠀⡸⢣⢰⢕⡘⡀⠛⡆⠀⢀⠔⣡⡡⣆⣿⠀⠐⡀⢷⢡⢝⢦⣄⠑⣕⢮⡒ ⢠⠔⠁⠸⢀⠔⠁⠨⠱⢄⡀⠀⠀⣀⡤⢪⡁⠻⣴⣃⠇⢪⢾⠈⣹⣂⡸⠉⠉⠉⠀⠰⡜⠸⡇⠀⠓⡏⠀⠀⠈⠉⠉⣈⣂⠟ ⠘⠀⢸⠑⠀⠀⠀⠀⠀⠑⠌⣉⢕⡜⠀⢈⡧⣀⣉⡑⠞⡀⢭⢋⡙⠉⢻⠠⡀⢀⢴⠛⢠⣿⠁⣀⠞⡁⠲⠀⢀⠔⠊⠀⢨⡀ ⠁⠀⠁⠀⠀⠀⠀⢀⡠⢔⡒⢾⠎⠀⢀⢊⠶⠘⢤⠤⠧⢄⡆⠰⠁⢠⢃⡀⠜⠋⢀⡰⣞⣡⣀⣢⠘⡡⠁⡰⠁⠀⠀⢀⡮⠁ ⠀⠀⢠⡐⠀⠉⢩⠕⠈⠡⠈⡄⢕⢄⢨⠂⠀⠈⠒⠑⠊⠌⣰⡇⠀⡆⠀⠨⠏⡥⢒⠍⠂⠃⢀⠴⠋⠀⡰⠁⠀⠀⡠⠚⡡⠀