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⠀⠀⠀⠀⠀⠀⠀⠀⠁⡓⢷⠛⢉⠠⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠗⣶⣶⣶⣿⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⠟⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⡳⣿⣯⣿⣿⣈⠧⠛⢙⠍⠀⠂⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠁⠪⠑⡯⣰⠀⠀⠀⠀⠀⡀⢦⠕⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⡠⠁⠔⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡽⣿⢷⣿⣿⣿⢹⣿⡿⣿⠃⣵⣿⠼⠤⠠⠒⠓⠛⠛⠛⠛⠚⠞⠴⠤⡤⣀⠀⠋⡾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡻⠉⠠⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠐⠠⠈⠐⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠇⣏⡿⣷⣿⣧⣻⣿⢿⣷⣿⡻⣷⣿⢀⠀⠀⠃⡔⣿⣷⢽⣿⣿⡻⠈⠀⠀⠁⡟⣴⢀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⡀⠳⣈⠤⠒⠑⣉⠈⠤⠠⠀⠐⠀⠀⠀⠀⠀⠀⠀⠡⡉⠃⠐⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡘⣽⣻⣷⣿⣯⣿⣷⣽⣿⣿⡻⣿⣿⠀⠀⠀⡏⠘⣇⣯⣿⣯⣿⣟⣽⢿⠿⣠⠀⠀⠀⠀⠀⠀⠀⠸⡇⢀⠀⠀⠀⠀⠀⠀⣄⠳⠉⠂⠁⣠⣃⣣⠮⠤⠤⠤⠤⠤⡀⣀⣀⠁⠠⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣻⣿⣯⣿⣏⣿⣿⣿⡾⣿⣽⡿⣿⡄⠆⠀⣻⢹⡄⣿⣿⣏⡿⣿⣳⣿⣿⢿⠀⠀⠀⠀⠀⠀⠃⢀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢲⢙⠉⡸⠰⠀⠈⠐⠤⠀⠤⠑⠀⠀⠸⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢲⣽⢿⣽⣿⡾⣿⣿⡿⣟⢷⣿⢯⣿⠸⠙⠀⢻⣿⠘⣇⣿⣟⣾⣟⣿⣯⣿⣿⢿⠙⠀⠀⠀⠀⠀⠏⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠘⣇⣼⠂⡠⠀⠀⠀⠀⠀⠀⠱⠆⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠈⣿⣟⡽⣿⢽⣿⣿⣿⡽⣿⡷⢿⣿⢸⡇⠘⣇⣯⣷⡈⣿⡿⣿⣿⣿⣿⣿⣽⣶⣿⣿⠿⠓⠉⠍⡆⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢀⡾⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⢧⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣯⡷⣟⣿⡟⣾⢿⣯⣳⣿⣹⢿⣿⡆⢯⡌⣟⣾⢻⣇⣸⢁⠉⠞⣾⣻⣿⠷⠙⡀⣄⣦⢶⣿⣻⣿⠟⠿⠽⠿⠯⠿⠿⠿⠿⠿⠿⡾⢃⢀⠀⠀⠀⠀⠀⠀⠀⠀⠿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣞⣻⣿⣿⠼⣿⣿⣿⣯⡽⣿⣝⣿⢹⣳⢷⣏⣽⣿⢫⢿⣿⢶⢜⡀⡢⣮⣿⣻⣿⠿⠛⠉⠈⠀⣀⣀⣀⣄⣤⣤⣤⣤⣤⣠⣈⣃⢡⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣻⣷⣟⣿⣟⣾⡗⣾⢿⣯⡽⢾⣿⡞⣿⡞⣫⣷⣿⡷⣞⣿⣼⡀⣄⠳⡉⠠⡑⣄⣦⢿⣿⣯⣾⣟⠷⠽⠺⠛⠓⠛⠚⠛⠓⠯⡿⣰⠰⠀⠁⠕⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢱⡇⣳⣿⢥⣻⣿⢭⣷⣽⢿⣯⣞⣻⢿⣎⣷⢻⣭⣷⣻⣷⣞⣿⠈⠀⠀⡀⣄⠲⡑⠌⠂⣁⣄⣤⣶⣶⡷⣿⣿⣿⣿⣿⣿⣿⣾⣿⡘⠀⠁⠢⢀⠀⠀⠀⠀⠀⠁⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⡄⣻⣷⢸⣮⣿⣘⡽⣻⣽⢿⣯⣞⡽⣿⣎⡿⣞⡱⣷⣿⣟⣳⢻⠀⠀⠁⠀⠀⠃⡀⢀⠤⠃⠐⠉⠉⠈⠀⠀⠀⠀⠄⠥⠭⢯⢧⠀⠀⡾⢀⠀⠀⠀⠀⠀⠁⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠘⣳⣷⢸⢾⣯⣻⠴⣟⡽⣻⢷⣯⣞⡽⢿⢞⣧⣛⡴⣿⣟⣻⣷⠿⠀⡂⠀⠀⡘⠀⠀⠊⣠⠀⠀⠀⠀⣀⣀⣀⣀⣢⣀⣀⡏⠰⠀⡞⢀⠀⠀⠀⠀⠀⠁⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢱⡇⣳⣿⡅⡞⣹⣜⠳⣯⠷⣻⢷⣭⣞⡽⢿⣡⡾⣍⠳⣯⡾⣿⢿⠈⠀⠀⠀⢸⠀⠎⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠃⣰⠀⡂⢀⠀⠀⠀⠀⠀⠀⡱⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠈⣻⣽⡿⠞⣧⡜⢮⡜⣻⡽⢷⣫⣽⡾⣟⣯⠖⣙⠶⢏⣧⣯⣿⢀⠀⠀⠀⠀⡜⠀⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⡝⡞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢱⣇⡽⢿⡴⢛⣧⢥⢫⣧⡼⣻⢯⣷⣎⢻⣷⣱⡝⢪⢻⣌⢿⣷⠉⠀⠀⠀⡮⢁⠪⡠⠀⠀⠀⠀⠀⠀⠀⠐⡯⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡆⡈⡾⣟⣼⠯⣆⡘⠽⢢⣿⢳⣼⣻⢾⣇⣻⣷⠬⣟⢃⣖⡎⣽⢻⠡⠀⠃⢀⡀⠀⠀⠀⠀⠀⠀⠀⠁⡞⡤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⣇⢯⣿⢍⣣⢰⡆⢧⡏⣵⡾⣝⢿⣌⡷⢯⣼⡗⡀⣫⢔⣻⣷⠸⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⡘⢿⢯⣹⡸⡷⠸⢼⡪⣽⡾⣝⡿⣎⡗⣞⣟⡱⠜⣿⡬⡎⣻⢼⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⡅⢾⣿⡜⠦⢛⡃⢓⣽⡾⣝⡿⢦⡙⣽⣯⡹⢸⢼⣼⢊⣽⣿⠀⡀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠒⠀⠀⠀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢵⣧⣟⣽⢆⡱⡞⠲⣏⡷⣏⡷⢞⠣⣇⡾⣹⢸⡜⣻⢌⣻⣿⠀⠀⠀⡀⠠⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢀⠀⠀⠬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣌⢻⣷⣩⠦⢓⡽⡏⣯⡜⣿⠎⣑⡬⣽⢺⢹⢪⣿⢓⢧⡿⠀⠀⠀⠀⠀⠀⠀⢄⠢⠩⠉⠀⠀⠀⠀⠀⠀⠀⠁⠐⠀⠀⠀⠁⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⣻⣷⢻⣡⡜⢣⡗⢫⣵⡾⢎⡣⠔⣻⢼⣿⢌⣿⡏⣳⣽⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣳⢾⠧⠂⠑⠁⠈⠀⠀⠉⠪⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⡟⣯⣻⡰⡜⢒⡧⣝⡶⢹⢣⢡⡰⢿⣹⡵⢊⣿⡇⣻⣶⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣾⢴⢠⣀⠀⢄⠐⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⣟⣿⡞⡙⢷⡏⡹⣿⣹⠸⣛⡎⢿⣹⠻⢎⣿⢿⣿⣻⢿⢸⠀⠀⠀⠀⠀⠀⠉⠞⣰⠀⠀⠀⠀⠀⠀⡁⠏⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⢾⣹⢳⣿⣻⣿⣾⢘⡶⣜⣿⣵⠾⢣⣻⣾⣾⣻⣿⢸⠀⠀⠀⠀⠁⡾⣠⠀⠀⠀⠀⠀⠀⠀⠇⣴⣤⣤⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣹⣷⣿⣙⢳⣾⣿⣿⢎⢸⢳⣜⣿⣳⣜⣧⣿⣧⣿⣻⣿⢻⠉⠃⠛⠛⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡇⣿⡌⠐⢾⣗⡽⢡⢸⠢⢘⣹⠢⢌⡻⣼⡻⣜⣻⡷⢫⣧⡞⣉⢠⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⣟⢼⠡⣼⢾⣹⠐⢸⢆⠌⣘⠣⢆⡿⣏⢯⣾⣷⣭⢻⣷⠀⠅⡎⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠈⠀⢷⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⢲⣿⣺⠑⣼⣟⢹⠡⢸⢆⠎⣄⠱⣽⢻⣿⣜⣿⣎⢻⣯⣿⠭⡷⣽⣿⠈⠀⠀⠀⠀⡁⡏⠯⡏⠁⠟⢪⠀⡄⠸⢄⢻⠪⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠈⣷⢲⠠⣾⣟⠡⠰⢸⢎⢃⣡⡞⡿⡝⠾⣏⣾⣛⣿⣛⣾⣽⣿⣿⡿⢹⠐⠉⠀⠁⡴⣤⣶⣶⣾⣴⢄⠯⠚⡍⠘⡀⣽⣾⠻⣆⠫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣇⡘⢌⢇⣯⢒⡈⢼⢃⣥⠆⡯⢗⡼⡞⢫⣿⢯⣯⢇⣿⣎⣿⣿⣻⣮⢿⠽⠽⢚⠳⠊⡁⢤⠷⠩⡟⢈⣆⡿⣷⠙⡆⣞⡹⢳⢾⢫⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡟⠒⢄⡎⣿⠤⠒⣸⣨⠑⣭⢳⣿⡏⢧⢷⣼⢻⣭⢻⣾⢻⣣⣿⣼⣿⠟⣔⣞⣪⣷⡟⢾⠽⡵⣌⡷⣭⠞⣟⣺⣻⠱⣿⡚⣭⣻⣷⢹⠃⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡘⢆⠁⣷⡌⠌⢻⢄⡇⣜⡿⠽⢳⣭⡎⣿⣭⠿⣡⢷⣩⢷⡬⣗⡝⡳⣣⢭⣝⢣⣔⣟⠦⣛⡥⢜⣶⠿⣌⢾⡩⡵⣿⢋⢦⣹⡴⢟⡟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢚⢄⡐⡎⢼⠀⣯⠱⣾⡟⢮⣿⢫⣷⢻⣥⣻⡜⣳⡜⢊⡰⣗⠤⡙⠦⢊⡱⢆⡱⢎⠣⣌⠾⣛⡍⢎⡡⢖⢋⢡⡰⣾⠱⣌⠲⣇⡏⢲⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡌⠂⠑⣦⢊⡄⣹⢷⣏⢧⣞⡜⣽⣿⢻⡡⣦⡉⢮⢙⣠⠲⣣⠑⢮⠱⣚⡑⠬⠑⢢⠍⢂⠤⢍⢢⣪⡘⣴⡩⡇⢹⡰⠎⣂⠱⣲⣎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠊⢂⠐⠡⢆⠀⣎⡹⣟⢾⡟⣾⡜⣦⣿⢹⡐⢂⠄⡈⢤⡒⢁⢆⡕⢐⢬⢔⠡⢒⠥⠒⡈⢄⠈⢡⡂⣄⡗⢁⠳⣠⠐⢊⢬⣡⠜⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⢪⡀⠘⠡⢄⠂⣄⡻⣷⣸⡇⣿⠽⡀⢦⡈⠀⢀⠄⡀⠄⠀⠠⠄⡀⡠⡳⠅⢀⠠⡄⢀⢠⠄⠀⠠⢀⡁⡃⡠⠄⠀⣠⠏⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⢝⠂⠠⡐⢂⡀⡐⣮⢻⡍⣼⣛⢧⠙⡀⢠⠀⠚⠂⠈⠀⠀⠀⠀⠀⠀⢀⢠⠀⠀⠀⠀⠀⠀⠁⠀⡄⢀⠀⠈⠑⠔⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠝⠚⢉⡐⠄⠂⡀⣳⢻⣹⣽⡴⢦⠙⠀⡀⠢⠡⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠼⣀⡀⢀⠂⠜⡐⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⡠⣒⠔⠤⣆⣿⣿⣿⣟⠿⠛⢏⠺⠈⠀⠀⠀⠀⠀⠀⠀⠁⠂⠄⣀⠀⣀⠤⠤⠤⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣷⡿⣿⣯⣿⣻⣿⣿⠴⠒⠐⠂⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣣⣮⢿⣿⣿⣶⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀