⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢤⡢⡆⡇⡇⢎⢮⡳⣝⣞⢮⣗⢽⣣⡗⡽⡽⣕⡇⡜⢔⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⢕⢵⢹⣪⢪⢊⠎⡞⡼⣕⡗⣽⢪⡟⡼⡽⣽⢪⡗⣽⢸⠘⡜⡕⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⡣⢣⢣⢇⢇⢅⢣⢹⢪⠧⡯⣳⢹⣪⣻⢼⣳⡹⣪⠳⣕⠱⡘⢜⢜⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢌⠢⢣⠱⢀⠃⡜⡸⡱⡝⣼⣳⢽⣺⢪⣗⢧⣟⢼⣣⢳⠨⢐⠅⢇⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠐⠨⠐⡐⡜⡜⣜⢕⣗⢽⢽⡺⣽⡪⣗⣗⢽⣪⢪⠈⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⢠⢣⢫⢪⡎⡆⡣⢪⢸⢸⢸⢱⡙⠩⡻⣼⡣⣟⢾⢼⢑⠑⡇⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠰⡱⢱⠱⠩⢃⢣⢫⢪⠢⡱⡱⡹⡜⡦⡴⣜⢷⣝⢧⢯⣳⢢⡪⡪⢢⢳⡀⠀⠀⠀⠀⠀⢀⢠⣪⢫⢝⢧⢳⣢⡀⠀ ⠀⠀⠀⠀⠀⠀⢄⡃⡂⠢⡈⠪⢈⠔⡕⡎⡎⡌⡎⡎⢯⢽⣝⠧⢟⢮⢯⣳⠳⡝⡎⡎⠬⡪⡎⡄⠀⠀⢀⢀⠆⡇⢷⢱⠁⡃⠃⢇⠃⠀ ⠀⠀⠀⠀⠀⠘⢔⠨⢂⢑⢠⢵⣻⣎⢪⢝⢖⠌⡎⡎⣗⢽⣺⣢⢡⣈⣈⡠⡼⣜⢕⠅⢝⢜⡕⣷⣰⢰⢱⢑⢈⠀⡁⠐⠀⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠍⢜⠘⡌⠢⣝⣗⣗⣟⡆⡝⣺⠨⡪⡪⣎⡗⡷⣝⣗⣗⢧⣟⢼⣣⢳⠁⡇⣗⢕⢷⡕⢕⠨⡂⠅⠃⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠠⡑⠠⣝⡞⡾⣼⣳⣇⢣⢳⡑⢜⢜⡜⡽⣽⢺⣺⣪⡗⣽⢣⢗⡕⢱⢸⢸⢪⣟⡎⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢔⡜⣞⡼⡺⣝⣞⣞⡗⡌⢮⢪⠸⡸⣜⢽⡺⡣⡣⣳⡫⣗⢯⡳⡱⠡⡪⡣⡻⣮⡓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⢜⡞⡼⣝⡞⣼⣳⡫⡂⢏⢎⠪⡪⡎⡗⡕⡇⣽⢺⢮⣳⣽⡟⡎⠜⡜⡌⣟⣮⡓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢣⢳⢝⡞⡼⣝⣞⡮⣗⠡⡫⡪⡊⢮⢝⢜⢜⢜⢷⢽⢽⣺⣟⢽⡘⠌⣞⠸⡵⣳⡓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢽⢸⡣⣏⡟⣼⣪⢿⢜⠄⡇⡗⡸⣨⢳⢕⢕⢭⢳⢽⢝⣞⣗⡗⡕⢡⢇⢝⢽⣺⡊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢧⡫⣞⢼⣹⢺⢮⢯⣓⠌⢎⢎⠜⡜⣮⢻⣔⢕⢕⢽⣣⢗⡗⣯⡊⡜⡜⣜⢽⣺⡊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢼⢜⢮⢳⡳⡽⡽⣧⣓⠨⢣⢣⠣⡣⡗⣽⢺⡪⡪⡺⣜⣗⢽⡗⡆⡪⡪⡪⣗⣗⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡎⣗⡝⡧⣏⡯⣟⣞⢖⢑⢕⢕⢱⢩⡝⣷⢹⢜⢜⡼⣕⣗⣿⣛⢆⢪⠪⡮⣗⣗⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⡹⡜⣎⡟⣼⢺⢷⣝⣇⠢⡣⡣⡱⡱⡝⡎⡮⡪⣞⢮⣳⣿⢳⡣⡣⢸⠪⡮⣗⣗⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢇⢯⢧⢯⣳⣫⣟⡞⣖⠡⡣⡣⡪⡪⣇⢇⢧⢻⢼⡝⣾⣻⡳⣝⠔⢕⢕⢽⣺⣺⡪⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢣⢻⢼⡕⣗⣗⣯⢿⣜⠘⡜⡎⡜⡜⣦⢃⢏⢽⢪⣟⢼⢧⣟⢼⠨⢕⢕⢽⣺⡺⣎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢕⢕⡗⡽⣺⢺⡮⡿⣜⡘⢼⢸⢸⢸⡪⣗⡕⡕⢽⢜⣗⢽⣳⣝⠌⡇⡇⣟⢮⣟⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡕⣝⢽⢺⢽⢯⣟⣎⠆⡝⣜⢸⢸⡪⣗⡗⡇⡧⣹⢪⡗⣷⣳⠡⡣⡣⡫⡿⣼⣓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢕⢧⡫⣏⢯⣟⡾⣜⢌⢎⢎⢜⢜⢮⣳⢫⡣⡣⡣⣟⣾⣿⢕⢅⢣⢣⢫⡟⣾⡒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢣⢣⢻⢼⢽⣪⣟⡖⡄⡫⡪⢢⢳⡱⡱⢱⠱⣵⢹⢧⡳⣕⢗⠄⢣⠣⢧⢯⣳⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢝⡜⡮⣳⢳⣣⡓⢌⢜⢢⢡⢣⡣⡫⢧⡻⣜⢽⡚⡞⡮⡪⠨⡘⢌⢗⢧⡓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠕⣝⢜⢧⣓⠂⢕⣂⠢⡱⢱⢸⢱⢣⡫⣪⢳⢹⢪⢪⡞⣖⠨⠊⠇⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠸⡸⡮⣟⡮⣗⠈⠌⠘⠸⠘⠜⠘⠸⡸⡪⣗⢽⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢮⢯⡗⣯⡳⠀⠀⠀⠀⠀⠀⠀⠀⡇⡗⡷⣝⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⣗⢧⡟⣮⡊⠀⠀⠀⠀⠀⠀⠀⠠⡸⢸⢸⢸⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀