⠀⠀⠀⠀⠀⠀⢀⡄⠮⣴⣾⣿⣿⣿⣿⣿⣿⣿⣷⣾⣾⣿⣶⣦⣴⣀⣤⣠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡰⣠⣉⣧⣾⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣟⣾⣷⣿⣿⣔⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠁⡽⣺⣶⣟⣻⣿⣿⣿⢏⣻⡝⣿⢷⣻⡽⣟⡿⣟⣯⠿⣟⢿⣻⣟⣿⣿⢣⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣶⡽⣶⣛⢫⡿⡽⢇⢋⠱⡙⢤⢋⡔⡳⣌⢶⡱⣞⣳⡽⢦⣛⡼⣉⢟⡿⡷⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣮⢹⡏⣵⢳⠁⠁⠀⢲⡍⠂⠀⠀⢱⠈⡇⢺⡕⣮⡏⣷⢹⣮⣽⢳⣽⢲⡍⠒⣿⣧⡏⣷⠀⠀⠀⠀⠀⠀ ⠀⠑⣜⠢⡜⢦⡟⣌⡓⠺⣲⠹⡀⠀⠀⠀⡒⣈⠦⣙⢼⡽⢭⡮⣭⡽⣻⢼⣃⢮⠱⢬⡹⢹⡍⢧⠄⠀⠀⠀⠀ ⠀⠀⡜⣢⢝⡲⢛⡫⡙⢀⠲⣝⠀⠀⠀⠀⠀⠐⠒⠘⠂⢿⣻⣼⢧⣟⡵⠿⣞⢧⡛⣲⡽⣇⡚⡭⣔⠁⡀⠀⠀ ⠀⣽⣱⢞⡣⢎⡑⠠⠁⠀⢸⣇⠃⠀⠀⠀⠀⠤⠀⣀⠀⠀⠀⢋⠿⡜⠈⠀⠀⠀⠱⣍⠷⠲⣍⠲⡩⠑⠢⢄⠀ ⢈⡷⣽⣾⡝⣇⠎⠁⠀⠀⠘⠏⠀⠀⠀⣄⠈⠀⠀⠰⣄⡠⠀⢈⣿⣤⡀⢀⠈⡀⢑⣮⡍⠳⣘⡧⣘⠁⠀⠀⠂ ⠀⠙⠔⣃⠿⣜⠂⠀⠀⠀⠀⠀⠀⠀⠠⠠⣆⠡⡤⢴⡑⠆⠀⠀⣸⡟⣶⣩⠘⣬⢒⠤⠙⡠⢱⡛⢄⠀⠀⠀⠀ ⠀⠀⠲⢽⡞⡵⠈⠀⠀⠀⠀⠀⠀⠀⠀⠐⢩⠓⡝⣮⠹⠀⠀⠀⠰⣿⢎⠳⣝⢦⠫⡄⠂⠐⡰⡙⣄⠊⠁⠈⠀ ⠀⠀⠀⠐⠺⣥⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣹⠊⠀⠀⠀⠀⠀⢀⠩⣆⠙⣎⡓⠀⠈⡐⣇⢣⣠⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠡⠉⠐⠈⠀⠐⠂⠍⠈⢪⢟⣮⠕⠀⠀⠉⠘⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢈⡝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣴⢦⣳⠒⢈⣁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⠜⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠁⠈⠀⠡⠛⣨⠹⢇⢖⠦⢤⡀⣀⠀⠀⠀ ⢤⢞⡱⡞⣋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠧⢀⠀⠡⠂⠀⢮⡑⡜⢢⢍⢒⢢ ⢦⡙⢲⢡⡑⢄⠀⠀⠀⠁⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠁⠀⠀⠀⠑⠂⠔⣂⠈⠌⢒⠰⣊⠕⡪⢎⠠ ⠦⣍⠣⣇⡹⢤⢂⡄⢀⠀⠀⠀⠉⠲⢄⠠⡀⠄⢀⡀⠀⡀⠂⠁⠀⠀⠐⢆⠀⠀⠀⠀⠀⠈⠂⠵⡨⣝⠰⠃⠐ ⡑⠢⢓⠬⡑⢎⠵⣊⢖⡀⠀⠀⠀⠀⠀⠁⠉⠂⠢⠄⣄⠈⠀⠀⠀⠀⠁⠄⠰⢀⠀⠀⠀⠀⠀⢉⠔⣪⢑⢣⠈ ⠀⠑⠢⡈⠘⠪⠱⣍⡚⢬⡰⡀⠈⠄⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠐⡄⠐⠁⠀⠀⠀⠀⢀⡀⢪⡜⡴⣉⢆⡁ ⠀⠀⠀⠀⠀⠀⠈⠐⣉⠆⠵⢡⢓⡌⡒⡄⠀⠀⠀⠀⠀⠀⢀⠀⠀⠈⠖⡀⠀⠀⠀⠀⠀⠄⠘⠤⡓⡴⣡⠲⠄ ⠑⠦⠀⠀⠀⠀⠀⠀⠀⠊⡴⢡⢃⢞⡱⢐⡊⠄⠂⠀⠀⠀⡀⠀⠀⠀⠂⡠⠀⠀⠀⠀⠀⠀⠀⠱⣀⠳⢀⠃⣀ ⠀⠀⢄⢀⠀⠀⠀⠀⠀⠀⠘⢣⡘⡄⠧⢇⠠⠄⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀ ⢀⢀⡐⢂⡄⠀⠀⠀⠀⠀⠀⠀⠐⠩⠜⢣⠘⡄⠂⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠢⢁⠀⠀⠀⠥ ⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠨⢀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠩⠀⠂⠀⠀⢊ ⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈