USSR STAR SMALL Emojis & Text

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀ ⣸⣟⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⠀⢠⡿⡼⣿⣻⡄⠀⠀⣀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣽⣝⡻⢷⡻⢿⢿⣯⡽⣿⣟⡿⣿⢿⣻⣯⣿⣽⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣠⢒⡽⢿⣞⢿⢯⣽⣛⣮⣗⣿⣻⣯⣿⣽⣻⡷⡿⣳⡷⣯⡐⣄⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢎⡯⡴⢋⡟⠱⣿⢮⠪⡣⣽⣷⣳⣿⣻⡼⡽⣿⣿⡯⢜⠱⡕⣟⠎⢻⡙⣮⢽⡱⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⢡⢷⡎⣴⢇⡽⠷⢏⣈⣑⣭⣊⣿⣶⣿⣳⣯⣗⡿⡼⢿⣻⣑⣭⣊⣍⡱⠾⢧⡸⡦⢱⡿⡎⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣲⡡⢻⡇⢾⣧⡊⢑⣒⣼⡖⣛⣧⠶⣿⡷⣿⠾⠋⢁⡄⠙⢿⡽⣻⣿⠴⣼⡛⢲⣧⣂⡉⢑⣼⡷⢹⣿⣏⣶⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⢼⠏⣺⢗⣿⠷⠥⣴⡬⢝⠩⡶⢺⠉⠄⢳⡿⠛⠅⠒⠸⠈⠃⠇⠒⠨⠓⢿⡔⠠⠋⡓⢶⠍⠫⢥⣤⠬⣾⡿⣿⡗⠽⡧⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢐⣏⣣⡳⣝⣮⡷⢴⣚⣫⣭⠾⢉⠀⠄⠁⠐⣊⣅⣡⣈⢠⡀⡄⠀⢀⠆⡁⠌⠠⠑⠂⠈⠠⠀⡩⠷⣭⣙⣿⡿⣽⣿⣿⣮⣝⣗⡂⠀⠀⠀⠀ ⠀⠀⠀⠀⢐⣵⣫⣺⣾⢟⢜⣪⢿⢼⡞⠡⡈⣢⣵⣶⣿⣿⢿⡿⣟⡿⣿⣻⣿⣶⣾⣤⣅⣂⡐⠀⢀⡐⠀⢈⠔⣁⣼⣿⢿⣽⣟⣾⣿⣿⣷⣽⡮⡆⠀⠀⠀ ⠀⠀⠀⢠⢻⡟⣻⣿⣫⣾⢛⠻⣗⠋⢀⣶⣾⣟⡏⠻⡾⡽⣯⣟⡿⣽⡷⣟⣷⣻⣞⣿⣻⢿⣿⣿⣿⣾⣷⣿⡿⣟⣯⣿⣻⡾⣽⣾⣿⣟⣷⡏⢿⡻⡀⠀⠀ ⠀⠀⠀⡟⣿⢳⡌⡏⣠⣿⣔⣴⣿⣴⣿⣟⣾⣭⡄⣟⡸⣟⣷⢯⣿⣽⣻⡽⣯⡷⣟⡷⣟⡿⣞⣷⣻⡾⣽⣳⣿⣻⣽⢾⡷⣟⣿⢾⣽⣧⢹⢠⡟⣿⢻⠀⠀ ⠀⠀⢸⢷⢷⡄⣹⠉⣰⣋⣷⠐⢻⣿⣻⢯⡿⣽⢿⣽⣍⡛⠫⣿⣞⡷⣿⡽⣷⢿⣻⣽⢿⡽⣟⣾⢷⣟⡿⣽⣞⣯⣟⣯⣿⣻⢾⡿⣽⣿⡉⣏⢡⡿⡾⠇⠀ ⠀⠀⢺⣼⡌⠛⠓⢩⣞⣔⣿⡆⡨⣿⣽⢯⣿⡹⠋⠩⡾⣽⢧⠘⣯⢿⣳⡿⣯⣟⡿⣾⣻⣟⣯⢿⣻⡾⣟⣯⣟⡷⣯⣟⣾⡽⣿⣽⣻⣿⡏⠚⠛⣡⣧⡗⠀ ⠀⢠⣎⣃⠹⢾⠒⣩⢯⣶⠀⣷⠀⢿⣿⣻⣞⣷⣴⡷⣦⣉⡛⠁⣾⣯⢷⣻⡽⣞⣿⣳⢿⣽⡾⣟⣯⣟⡿⣽⡾⣿⣽⣻⣞⣿⣳⣯⣷⢿⣿⠒⡷⠏⣜⣸⡄ ⠀⢸⣌⡟⡶⣼⠔⣹⡋⣾⠀⢻⡀⢸⣿⣷⣻⣽⡾⢁⣍⣥⣤⣶⣤⣽⣻⣽⣻⣽⡾⣽⣻⢾⣽⣻⡽⣾⣟⣯⢿⣳⣯⣷⣟⡷⣟⣷⢯⣿⣿⡆⣧⢾⢻⣡⡃ ⠀⢼⣧⢱⢧⣣⢾⢹⡸⣹⠀⢘⡇⠉⣿⣷⣻⢷⣧⢾⣯⣟⣾⣽⢾⣳⣯⣷⣟⡷⣿⢯⣟⡿⣞⣷⣻⢷⣯⣟⡿⣽⣳⣟⣾⣟⡿⣾⣻⢷⣿⣷⣜⡼⡎⣼⢧ ⠀⢃⢣⢆⢞⣥⢣⢇⠳⣹⣉⠀⢿⠀⢸⣿⣯⣟⡾⣯⣷⢿⣽⢾⣟⣯⡷⣟⣾⢿⣽⣻⡽⣟⣯⡿⣽⣟⣾⣽⣻⣽⢯⣟⣷⡿⣿⣷⣻⣯⢿⣿⣬⡱⡴⡙⡌ ⠀⢻⣮⣮⣾⣷⣫⣪⣿⣣⡦⠀⢸⡇⠚⣿⣟⣯⣿⣳⢯⣟⡾⣿⣽⢾⣻⣯⣟⣯⡿⣽⣟⣯⣷⣟⡿⣾⡽⣾⢯⣟⣯⡿⣾⣽⢷⣻⣟⣿⣿⣿⣦⣕⣵⣵⡟ ⠀⠈⣿⡿⣿⣽⡿⣿⢿⡿⣿⡄⣉⣧⢀⣻⣯⣟⣾⢯⣿⢾⣽⣳⢯⣿⣻⢾⣽⣳⣿⣻⢾⣻⣞⣯⣿⢷⣿⡽⣯⣟⡷⣿⣽⢾⣟⡿⣾⣽⣾⣿⡿⣿⢿⣿⠁ ⠀⠀⠹⣟⡷⣯⢿⣽⣯⣟⡿⣿⣆⢸⡀⠼⣿⣻⡾⣿⣽⣻⢾⣽⣻⣾⣽⣯⣿⣷⣯⣟⣿⡽⣯⣷⣟⡿⣽⡿⣷⣯⣟⡷⣯⣟⡾⣟⣷⣿⣿⢿⣽⣻⣯⠏⠀ ⠀⠀⠀⠹⣿⡽⣯⡷⣟⣾⣿⢷⣿⣿⣇⠀⣿⡿⣽⡷⣯⣿⣿⠿⢟⠋⡙⡉⠉⢉⢉⢛⠛⢻⠿⠾⣯⣿⣯⣿⣽⢿⣾⣟⣷⣯⣿⣽⣾⣿⢯⣿⣽⣳⠏⠀⠀ ⠀⠀⠀⠀⠘⢿⠷⣿⣯⣿⡞⠻⣿⡉⣿⠘⢹⣿⢯⣿⡿⢋⠁⠄⡠⠈⠰⠁⠃⠘⠈⠆⠁⢄⠐⠠⡀⢂⠑⡉⠩⠉⣻⠟⢋⣿⠟⢻⣷⣿⣿⠾⡷⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢫⠓⢬⣘⣙⣶⠀⣻⣻⡆⠈⣿⣿⣿⢀⠊⡐⢠⠁⠌⣤⢰⢠⡀⡄⡤⠡⠀⡀⢂⠀⡀⣾⣿⢿⣿⣿⣜⣟⠀⣶⣋⣀⡥⢚⠍⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣿⣾⣿⢾⣿⣿⣿⣷⠰⢻⣿⣿⣤⣶⣶⡿⣿⣿⠿⠿⣿⠿⠿⢿⣿⣿⣷⣾⣶⣤⣿⣿⣿⢾⣟⣿⣿⡿⣷⣿⣷⣿⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢿⣾⣟⡾⣽⣿⢿⣶⢿⡿⣽⠁⣿⡇⠘⡇⢠⣤⣀⣿⡆⢠⣤⣀⡟⠀⣀⠀⣹⣟⣷⡿⣿⣿⣾⣿⡽⣟⣾⡷⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⣿⣽⣻⣿⡽⣯⣟⣿⡄⢸⣿⠀⢷⣈⣁⡀⢸⣇⣈⣉⢩⡇⠈⠋⠀⣿⡾⣽⣻⢷⣻⣿⣳⢿⡻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠚⠻⣛⣿⣷⣻⢾⡇⠈⠛⠀⣸⠉⠛⠃⢸⠉⠙⠋⢸⠇⢸⣇⠹⣿⡽⣿⣽⣻⣛⠗⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣯⣟⣯⣿⣶⣶⣾⣿⡿⣿⣿⠿⡿⣿⡿⣿⣿⣟⡿⣦⣿⣻⢷⣻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠉⠛⠭⣋⠅⣫⠔⣡⢓⡜⢡⠙⣤⠯⣙⠭⠛⠉⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠉⠕⣋⣼⠽⠋⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⢿ ⣿⣞⡿⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣯⢿ ⣿⣞⣿⣽⢾⣟⣯⡷⣿⣻⣽⢾⣟⣯⡷⣿⣻⣽⡾⡏⢹⡷⣟⣿⡽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢷⣻⣿ ⣿⣞⡿⣞⣯⡿⣞⣿⣳⡿⣽⣻⡾⣯⣟⣷⣿⣌⠫⣼⣷⢽⣭⣿⢿⡽⣯⣿⣳⣯⢿⣻⣾⡽⣟⣷⣯⢿⣻⣾⡽⣟⣷⣯⢿⣻⣾⡽⣟⣷⣯⢿⣻⣾⡽⣟⣷⣯⢿⣻⣾⡽⣟⡿⣾ ⣿⡼⣿⢿⣻⢿⣟⣧⣿⣻⡿⣧⣿⣻⢿⡼⣧⢿⢣⣿⡻⢸⣿⣟⡿⣿⣻⡼⣟⡿⣿⢧⣟⣿⢿⣼⣻⢿⣧⣟⡿⣿⣼⣻⢿⣧⣟⡿⣿⣼⣻⢿⣧⣟⡿⣿⣼⣻⢿⣧⣟⡿⣿⣻⣿ ⣿⣽⣻⣯⢿⣻⣾⣻⢾⣽⣻⢷⣯⣟⣯⣿⣻⢯⣾⣿⣿⣦⣿⣯⢿⣽⢯⣟⣿⣽⣻⣯⢿⣾⣻⣽⢯⣿⢾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣟⣾ ⣿⣞⣷⣟⡿⣽⣾⣻⢯⣿⡽⣟⣾⡽⣷⢯⣟⣿⣳⣯⣷⢮⡙⢾⣟⣯⣿⣻⣞⣷⣯⣟⡿⣾⣽⡾⣿⡽⣯⣷⢿⣻⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣻ ⣿⣞⡿⣞⣿⣻⢾⣽⣟⡷⣿⣻⣽⣻⣽⣟⠟⠀⠈⢁⣼⣿⢿⡄⠙⣿⣞⡷⣟⣷⣻⢾⣟⣷⢯⣟⣷⢿⣻⡾⣿⣽⢾⣳⣿⣻⡾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣿ ⣿⣞⡿⣯⣷⢿⣯⣷⣻⣟⡷⣟⣷⣟⠗⢁⠀⢰⠸⢿⣿⢯⣟⣿⡀⠘⣿⣽⢿⡽⣯⣿⢾⣯⢿⣻⡾⣟⣷⢿⣳⣯⣿⣻⣞⣷⢿⣻⣽⢿⡾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾ ⣿⣞⣿⣽⢾⣟⡾⣷⣻⡾⣟⣯⣷⢿⣳⣌⣿⣿⣦⡀⠙⢿⣻⣾⠀⠀⢿⣯⣟⣿⣳⣯⡿⣾⣟⣯⣟⡿⣾⣻⢯⣷⢯⣷⢿⣽⣻⣟⡾⣿⡽⣿⡽⣟⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⣽ ⣿⢾⣽⡾⣿⣽⣻⣽⢷⣟⡿⣽⣾⣻⢯⣟⡿⢳⣯⣿⣆⡀⠙⠛⠀⠀⣿⣟⣾⡽⣷⢯⣿⣳⣯⣟⣾⢿⣽⢯⡿⣯⡿⣽⣻⣾⣻⢾⣟⡷⣿⣳⣿⣻⣽⢾⣻⣟⣾⣽⣻⢷⣯⢿⣽ ⣿⢯⣷⢿⣳⣯⢿⣾⣻⡽⣟⡿⣾⡽⡿⢃⣲⣄⠉⢑⡛⠉⠀⠀⠌⠾⣿⣯⢷⡿⣯⣿⣳⣟⡷⣯⣟⡿⣾⣻⣟⡷⣿⣻⢷⣯⣟⡿⣾⣻⣽⢷⣯⣟⣾⣟⡿⣞⡿⣞⣯⣿⢾⡿⣽ ⣿⣏⡿⣏⣿⣹⢿⣾⣹⡿⣿⣹⡷⢁⠀⣾⣿⡿⣷⣆⣰⣀⣶⣾⡀⠀⠈⢿⣏⣿⣷⣏⡿⣾⣿⣹⣏⣿⣷⢿⣹⢿⣷⡿⣿⣾⣹⢿⣷⣿⣹⢿⣾⣹⢷⣏⣿⢿⣹⣿⣹⣾⢿⣹⣿ ⣿⣞⣿⣻⢷⣻⣯⣟⡷⣿⣽⣻⣧⣤⣽⡿⣯⢿⣽⣻⣽⣟⣿⣻⢿⣦⣤⣼⣿⣞⣷⣻⢿⣽⡾⣷⣻⣾⣽⣻⢯⣿⢾⣽⡷⣯⣟⡿⣞⣷⢿⣯⢿⣽⣻⣟⣾⣟⡿⣾⡽⣯⣟⡿⣾ ⣿⢾⣽⢯⣿⣻⢾⣽⣻⢷⣯⡷⣿⡽⣯⢿⣽⡿⣽⣳⡿⣞⣷⢿⣯⢿⣽⣻⡾⣽⣾⣻⣟⣾⣽⢷⣟⡷⣯⣟⡿⣽⣯⡷⣟⣯⡿⣽⡿⣽⣻⡾⣿⣽⣳⣯⡷⣿⡽⣷⣟⣯⡿⣽⢿ ⣿⣻⡾⣟⣷⢿⣯⢿⡽⣟⣾⣽⡷⣟⡿⣯⣷⣟⣯⡿⣽⢿⣽⣻⡾⣿⣽⣳⣿⣻⣞⣷⣯⣟⣾⢿⣽⣻⣽⡾⣟⡿⣾⣽⢿⣽⣻⢷⣟⣯⣷⢿⣳⣯⣟⣾⣽⡷⣿⣻⢾⣽⣻⢯⣿ ⣿⣳⡿⣯⣟⡿⣾⣻⣟⣯⡿⣾⡽⣿⡽⣷⣻⡾⣯⣟⣯⣿⣞⣯⢿⣳⣯⣟⣾⢷⣻⣷⣻⢾⣯⢿⣞⣯⣷⢿⣻⣽⡷⣯⣿⣞⣿⣻⢾⣻⡾⣟⣯⡷⣿⡽⣾⣽⢷⣟⣯⡿⣽⣻⣽ ⣿⣳⣿⣽⢾⣟⣷⢿⣽⣾⣻⢷⣟⣯⣿⡽⣷⢿⣽⢯⣷⣟⣾⣻⢿⣽⣳⡿⣽⣻⣟⣾⡽⣿⢾⣻⣽⢷⣯⡿⣯⡷⣟⣿⢾⣽⣾⣻⢿⣽⣻⣽⢷⣟⣯⢿⡷⣯⣿⢾⣯⣟⡿⣽⣻ ⣿⣳⣟⣾⢿⣽⣾⣻⢷⣯⣟⡿⣾⣻⢾⣽⣟⡿⣾⣻⢷⣯⡷⣿⢯⣟⣷⢿⣻⢷⣯⡷⣿⢯⡿⣯⣟⡿⣾⣽⢷⣿⣻⡽⣟⣾⣳⡿⣯⣷⢿⣽⣻⣾⣻⢯⣿⣽⢾⣟⣾⣽⣻⢯⣿ ⣿⣽⢾⣯⢿⣞⡷⣿⣻⡾⣽⣻⡷⣟⣯⣷⢿⣽⡷⣿⣻⣾⡽⣟⣯⡿⣾⣻⢯⣿⣞⣿⣽⣻⣽⣷⣻⣟⣷⣯⢿⣾⣽⣻⢯⣟⣷⢿⣽⡾⣯⣷⣟⣷⣻⣯⡷⣟⣿⢾⣻⣞⡿⣯⢿ ⣿⣾⢻⣽⣯⣿⣽⣷⣿⣽⡟⣷⣿⢻⣽⣾⣯⣷⣿⢳⣿⡞⣿⣯⣿⣽⣷⣿⢻⣷⢻⣾⢳⣿⢳⣯⣷⣿⣾⣽⡟⣾⣷⢻⡟⣿⣾⢻⣷⢻⣽⣾⣽⣾⣯⣷⣿⢻⣽⢻⣽⣯⡟⣿⢻ ⣿⢾⣻⣽⣻⣾⣽⣳⣯⣷⢿⣻⢾⣻⣽⢷⣯⣟⣾⣟⡷⣿⣻⢾⣳⣟⡷⣯⣿⢾⣻⣽⢿⡽⣯⣟⣷⣻⢾⡷⣟⣿⢾⣻⣽⡷⣯⣿⢾⣟⣯⣷⣟⡷⣯⣟⣾⣟⣯⣿⣻⢾⡿⣽⣻ ⣿⣻⣽⢷⣟⡾⣷⣻⢷⣯⢿⣯⢿⣯⣟⡿⣾⣽⣳⣯⢿⣷⣻⣟⣯⡿⣽⣟⡾⣟⣯⣟⣯⡿⣯⣟⣾⣟⣯⣿⣻⢾⣟⣯⡷⣟⣿⣞⣯⡿⣞⣷⣯⢿⣯⣟⣾⣽⣾⣳⡿⣯⣟⡿⣽ ⣿⣽⢾⣻⣽⢿⡽⣯⣿⢾⣻⣽⣟⣾⣽⣻⢷⣯⣟⣾⢿⡾⣽⡾⣯⣟⡿⣞⣿⣻⣽⡾⣯⣟⣷⢿⣳⣯⡷⣿⡽⣿⣞⣯⢿⣻⢷⣯⢿⣽⣟⡷⣯⣿⢾⣽⣳⡿⣾⣽⣻⢷⣻⣟⣿ ⣿⢾⣻⣯⣟⣯⣿⣽⢾⣟⣯⣷⣻⣽⢾⣻⣟⣾⡽⣯⡿⣽⢿⡽⣷⣻⣟⣯⣷⣟⡷⣿⣽⢾⣯⣟⡿⣾⣽⢷⣿⣳⣯⢿⣻⣯⢿⣾⣻⢷⣯⢿⣻⣾⣻⡽⣷⢿⣳⣯⣟⡿⣽⣾⣻

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

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣀⣀⡀⠀⠀⠀⠹⣿⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⣻⣞⣷⡻⠉⠀⠀⠀⠀⠀⠱⣟⣿⣦⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣻⣾⣽⣻⣎⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⢯⣧⠀⠀ ⠀⠀⠐⢿⣯⡷⣟⡾⠳⡿⣽⡷⣄⠀⠀⠀⠀⠀⠀⠀⢻⣯⣟⣇⠀ ⠀⠀⠀⠀⠙⠽⠋⠀⠀⠈⠻⣽⣟⡷⣄⠀⠀⠀⠀⠀⠘⣷⣯⢿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣽⣟⡷⣄⠀⠀⠀⢠⣿⢾⡿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣽⣟⡷⣄⢀⣾⡽⣯⡏⠀ ⠀⠀⠀⠀⠀⣴⡶⣷⢿⡶⣄⣀⠀⠀⠀⠈⣻⣽⣟⣯⣷⢿⡛⠀⠀ ⠀⠀⣀⣴⣾⢯⠿⠍⠻⣟⣿⣻⣟⣿⣻⢿⣽⡾⣯⣷⣻⢿⣄⠀⠀ ⢀⣾⢿⣽⡾⠏⠀⠀⠀⠀⠉⠓⠋⠷⠿⠯⠗⠛⠁⠉⢻⣟⣾⢷⡄ ⠸⢯⡿⠾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠫⠋⠀

⢸⢳⣶⣶⣴⣶⣴⣷⣶⣠⣶⣿⣵⣤⡶⣾⣼⣿⠇⣶⣤⣦⣶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠋⠁⠛⠋⠛⠋⠋⠋⠹⠿⠉⠙⠋⠃⠋⠛⠛⠛⠋⠋⠛⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠤⣄⣠⠤⠤⠶⠦⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠞⡟⠉⠉⠁⠀⠀⠀⠉⠛⠀⠡⡬⠭⠭⠟⠶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡼⠓⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠤⢄⠔⣲⡤⠘⠿⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⣤⢤⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡼⠼⣾⣿⣷⡖⡾⢲⡖⠒⠒⠒⠒⠒⠒⠒⠒⠚⠛⠓⠒⠓⠒⠒⠒⠒⠛⠚⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⢤⡔⡿⠒⡖⣲⠖⢤⣤⣼⣷⡤⣤⣤⣤⣤⣀⣀⣀⣤⣶⣶⣿⣧⣄⠀⠀⠀⣠⢇⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⠳⢷⣶⣷⣷⣱⡎⠀⠀⠙⠉⠉⠉⠛⠿⠛⠛⠛⠛⠛⠻⣿⠻⣿⣿⣿⣾⠿⠥⢤⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣴⣶⣯⠤⠄⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⢰⠌⣨⣾⠿⣕⠒⠢⣶⣖⣶⣿⢤⡈⠲⢼⡏⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢛⣿⣿⣿⣿⣷⣶⣶⣮⣭⣍⣐⡒⠒⠦⠤⠄⢀⣠⣇⣀⣀⠀⠈⢿⣅⣧⣿⣿⠀⠀⠱⣄⣈⣲⣔⣷⠀⠀⠙⠳⣶⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⢿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⣀⣀⣈⣉⣉⣲⣍⠛⠛⠛⠀⠀⠀⠀⡀⣀⠀⡺⡷⣄⠀⠀⢾⠻⢍⣑⣒⣠⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⢾⣿⣹⡿⣏⣿⢯⣿⢠⣿⢻⣏⢻⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠈⡄⠀⣀⡀⠸⡀⢷⢻⡘⡟⢳⡸⡸⣧⣤⣤⡷⡀⠈⢢⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⠺⣇⣸⣏⣟⣿⣟⢿⣿⢯⡸⣿⣾⢳⣹⣭⢹⡿⣿⡆⠀⠀⠀⠀⠘⡈⠛⠃⠀⠉⠉⠉⠉⢉⡉⠉⢁⣘⣿⣯⣀⣙⣄⢀⠱⣄⣀⣀⣙⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⢝⣉⠿⡼⣿⣟⣿⣿⡿⣎⣿⡇⣲⢟⣿⢸⢼⣿⣷⣶⣶⣶⣶⢶⠟⠉⢉⠉⡽⠉⢉⡽⡿⠋⠉⠉⠉⠝⣿⡇⣠⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢶⣾⣟⡛⠻⣇⣻⣿⡏⢙⢎⡿⢸⣿⣿⣯⣷⣟⢻⣶⣿⣦⣤⣿⣾⣤⣤⣾⣾⣷⣶⣶⣶⣶⣶⣷⣾⣿⣿⣯⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠓⠿⣿⣟⣿⣌⣼⣷⣿⣿⣵⣿⣾⣿⣷⣿⣿⡿⠿⠿⢿⠿⠿⠿⠿⠿⠛⠛⠻⢿⣿⣿⣿⣿⣿⣟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠿⠿⠿⣿⣿⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡄⣒⠂⣖⣇⢒⡐⡂⣦⡠⣈⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣄⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣀⣯⡿⠿⡋⠛⡁⠛⢉⠛⡻⡕⣻⡬⣘⠹⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⢑⡆⠀⠀⠀⠀⠀⠀⠀⣤⣴⣺⡟⢍⠁⠘⠀⠉⠀⠈⠀⠈⠅⠐⠙⠢⠶⠋⡽⠿⢔⢁⠸⣁⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⠀⠀⠀⡄⣯⣟⣏⡡⠀⠀⠀⠀⠀⠀⣀⠻⣯⡖⠁⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠌⠔⢠⠣⠍⢭⠈⣼⡀⠀⠀⠀⠀ ⠀⠀⠸⡿⣋⡆⡅⢶⣗⢄⡻⣦⠇⣺⣒⣤⡄⠤⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⣠⣄⢢⣔⣤⠄⠀⠀⠀⠀⠠⠓⢲⠭⡟⠅⠀⠀⠀⠀ ⠀⠀⠀⠙⠃⠎⣍⡿⣥⣏⠓⢋⣧⣔⠈⠧⠍⠉⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⢼⣥⣗⡿⣿⣢⣣⡁⢫⢍⠣⡶⡄⠩⠨⢿⣵⡮⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⢐⣰⠅⣄⢉⠟⠟⠆⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣵⠟⢑⠅⢹⠯⠎⣝⠏⣿⢎⡪⢾⠁⠉⠁⠀⡈⢈⣈⠿⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠱⡥⣟⣲⡂⠈⠁⠒⢘⣣⡀⠀⠀⠀⠀⠀⠀⠀⠁⡝⡺⠟⢗⣞⠖⢻⡙⢙⢿⡛⠋⡧⢀⠀⠀⠀⠀⠄⣍⣜⠡⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠟⡝⠻⠁⠀⠀⠀⠀⠉⢃⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠩⠩⠸⠟⠖⣷⠀⠁⠀⠁⣗⠧⣯⣠⡄⠀⠀⠊⠄⠟⣩⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⣁⠔⡄⢀⡁⣘⣭⠍⢇⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢃⠢⣮⡻⣍⣟⢕⡎⡐⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⢤⣘⡻⢿⢾⡟⣟⠩⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣖⣿⡿⣬⣵⢶⣤⣤⣄⣄⢄⡒⣌⡠⡱⠔⡬⣞⣁⡌⢱⡼⣾⣍⠉⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡇⡋⠈⠁⠑⠨⠍⣸⣄⣗⣏⣍⡾⣓⣣⢮⢿⡟⠑⠋⠉⠉⢜⣑⣁⣊⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠈⠁⠀⠑⠀⠂⠀⠀⠁⠈⡇⠌⡀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⢙⡢⢬⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡇⡹⡦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠽⣢⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⣿⣻⢿⣻⣟⡿⣟⡿⣿ ⣿⣞⡿⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣯⣷⢿⣻⣽⡾⣟⣿⡽⣿ ⣿⣞⣿⣽⢾⣟⣯⡷⣿⣻⣽⢾⣟⣯⡷⣿⣻⣽⢾⣟⣯⡷⣿⣻⣽⠚⣿⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣽⣾⣻⢯⣷⣟⡿⣞⣿⣽ ⣿⣞⡿⣞⣯⡿⣞⣿⣳⡿⣽⣻⡾⣯⣟⣷⢿⣽⣻⡾⣯⣟⣷⣿⡍⣄⢹⣿⣳⣯⣿⣻⢾⣽⣟⡷⣯⣿⣻⢾⣽⣟⡷⣯⣿⣻⢾⣽⣟⡷⣯⣿⣻⢾⣽⣟⡷⣯⣿⣻⢾⣽⣟⡷⣯⣿⣻⢾⣽⣟⡷⣯⣿⣻⢾⣽⣟⡷⣯⣿⣻⢾⣽⣟⡷⣯⣿⣻⢾⣽⣟⡷⣯⣿⣻⢾⣽⣟⡷⣯⣿⣻⢾⣽⣟⡷⣯⣿⣻⢾⣽⣟⡷⣯⣿⣻⢾⣽⣟⡷⣯⣿⣻⢾⣽⣟⡷⣯⣿⣻⢾⣽⣟⡷⣯⣿⣻⢾⣽⣟⡷⣯⣿⣻⢾⣽⣟⡷⣯⣿⣻⢷⣻ ⣿⣞⣿⣻⣽⣻⢯⣷⢿⣽⣟⡷⣿⣽⣻⢾⣯⣟⡷⣿⣻⡶⣄⠲⢶⣿⡶⠆⣠⣴⣿⢯⣿⣳⣯⢿⣻⣾⡽⣟⣷⣯⢿⣻⣾⡽⣟⣷⣯⢿⣻⣾⡽⣟⣷⣯⢿⣻⣾⡽⣟⣷⣯⢿⣻⣾⡽⣟⣷⣯⢿⣻⣾⡽⣟⣷⣯⢿⣻⣾⡽⣟⣷⣯⢿⣻⣾⡽⣟⣷⣯⢿⣻⣾⡽⣟⣷⣯⢿⣻⣾⡽⣟⣷⣯⢿⣻⣾⡽⣟⣷⣯⢿⣻⣾⡽⣟⣷⣯⢿⣻⣾⡽⣟⣷⣯⢿⣻⣾⡽⣟⣷⣯⢿⣻⣾⡽⣟⣷⣯⢿⣻⣾⡽⣟⣷⣯⢿⣻⣾⡽⣟⣿ ⣿⢾⡽⣷⣻⣽⢿⣽⣻⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⡿⣽⢿⠇⠞⣟⠣⠸⣿⡿⣽⣻⢷⣯⣟⣿⣳⣯⢿⣻⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾ ⣿⣏⣿⣏⡿⣾⣿⣹⢷⣿⡾⣏⣿⣾⣹⢿⣷⣏⡿⣏⣿⣏⣿⣀⣾⣿⣷⣀⣿⣿⣹⣏⣿⣾⣹⣾⣏⡿⣿⣹⣾⢷⣿⢿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣹ ⣿⣞⡿⣞⣿⣻⢾⣽⣟⡷⣿⣻⣽⢾⣻⣟⣾⡽⣟⣯⣷⢿⣽⣻⢿⣿⡛⠽⢿⣽⢷⣻⣽⡾⣯⣷⣻⣽⡷⣿⣽⣻⣽⣯⡷⣿⣻⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⣿⣻ ⣿⣞⡿⣯⣷⢿⣯⣷⣻⣟⡷⣿⣽⣻⣽⡾⣯⣟⡿⣽⡾⣯⣷⢿⣻⡾⣟⣷⣄⠉⠛⢯⣷⢿⣳⣯⢿⡾⣽⡷⣯⣟⣾⢷⣻⣽⢷⣻⣞⣯⣿⢾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⢾⣻ ⣿⣞⣿⣽⢾⣟⡾⣷⣻⡾⣟⣷⣯⣟⣾⣽⣷⣻⢿⣽⣻⠗⠉⠉⠉⣹⣿⣳⢿⣳⣄⠀⠙⢿⣯⣟⣯⡿⣯⢿⣽⣻⢾⣟⣯⣟⡿⣽⣯⢷⣟⣯⡿⣽⣟⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣿⣻ ⣿⢾⣽⡾⣿⣽⣻⣽⢷⣟⣯⣷⣟⡾⣟⣾⣳⡿⣯⠗⠁⠀⠀⠠⣾⣿⢯⣟⣿⣽⣻⣆⠀⠈⢿⡾⣯⢿⣽⣟⡷⣿⣻⣾⣻⢾⣟⡿⣞⣿⣽⣳⣿⣻⢾⣻⣞⣯⣿⢾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣞⣷⢿ ⣿⢯⣷⢿⣳⣯⢿⣾⣻⣽⣻⢾⣽⣻⢯⣷⢿⣽⣧⣀⠀⣰⣦⡀⠈⠻⣿⣻⣞⣷⢿⣽⡀⠀⠈⣿⣟⣯⡷⣟⣿⣳⣟⣷⣻⢿⣞⡿⣯⣷⣻⣽⢾⣻⢿⡽⣯⣷⣻⣯⢿⡽⣟⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢯⣟⣿ ⣿⢯⣟⣯⡿⣽⣻⣾⣽⣳⡿⣯⢿⣽⣻⣽⢿⡾⣽⣻⡿⣿⢿⡿⣦⡀⠈⠻⣽⣾⢿⣽⠃⠀⠀⣿⣯⣷⢿⣻⢷⣻⣽⣾⣻⢯⣿⡽⣷⣻⣽⡾⣟⣯⣿⣻⢷⣯⡷⣟⣯⣿⣻⣽⢾⣻⣟⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣽⣾ ⣿⢯⣿⣽⣻⣽⢷⣻⣾⣽⣻⣽⢿⣽⣻⢾⣻⣽⣟⡷⣿⢯⣿⡽⣟⣿⣦⡀⠈⠛⢿⡾⠀⠀⠀⣿⡷⣯⡿⣯⡿⣯⣷⢯⣟⣯⣷⢿⣯⣟⣾⣽⢿⣽⣞⣯⣿⣞⡿⣯⣟⣾⡽⣯⣟⡿⣞⡿⣞⣯⣿⢾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⣟⣾ ⣿⣻⢾⣳⡿⣽⣻⣟⣾⣳⡿⣽⣻⣾⣻⢿⣽⣳⣏⠛⢁⡉⠓⠻⢟⣷⣯⣿⣦⣄⠈⠁⠀⠀⣼⡿⣽⢿⣽⢷⡿⣽⡾⣟⣯⢿⣞⣿⢾⣽⣳⣯⣿⣞⣯⣷⣟⡾⣿⣽⣻⣞⣿⡽⣯⣟⣿⡽⣿⣽⢾⣻⣽⢯⣿⢾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⡷⣿⣽ ⣿⡽⣟⣯⣿⣻⢷⣯⡷⣿⡽⣟⣷⢯⣟⡿⡞⠋⠁⣴⣾⣟⣦⣄⡀⠀⠀⠀⠀⠀⠀⠠⠀⠘⢿⣟⣯⣿⢾⣻⣽⢿⣽⣻⣽⣯⢿⣾⣻⡽⣷⣻⡾⣽⣳⡿⣞⣿⣳⣯⣷⣟⡷⣿⢯⣟⣾⣟⡷⣯⡿⣯⣟⣯⣟⣯⣷⢿⣻⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⢷⣻ ⣿⡽⣟⣷⢯⣟⡿⣾⣽⢷⣿⣻⡽⣟⣯⣿⠁⢀⣼⡿⣿⡽⣾⣻⢿⡷⣶⡶⣶⣶⣶⣿⢦⡀⢀⣿⣟⣾⣟⣯⣟⡿⣞⣯⣷⣻⣟⣾⡽⣿⡽⣷⣟⡿⣽⣻⣽⢷⣻⣷⣻⢾⣻⣽⣟⡿⣾⣽⣻⣽⣟⣷⣻⣽⣾⣻⢾⡿⣽⣾⣳⣿⣻⡾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣿⣻ ⣿⡽⣿⢾⣻⣯⢿⡷⣯⣿⢾⣽⣻⢯⣟⣾⡿⣿⣻⣽⡷⣟⣯⣟⣯⡿⣷⢿⣳⣟⣾⣽⣻⢿⣿⣻⣽⣾⣻⢾⣽⣻⢿⣽⣞⡿⣞⣯⣿⣳⣿⣻⢾⣟⣯⢿⣾⣻⣟⣾⡽⣟⣯⣷⣻⣽⡷⣯⣟⣾⣽⢾⣯⡷⣯⣟⣯⡿⣷⢯⣷⢯⣷⢿⣻⣽⢿⡾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣞⣷⢿ ⣿⣽⢯⣿⣻⢾⡿⣽⡷⣯⣿⣳⣿⣻⢯⣷⣟⣯⢿⡾⣽⡿⣽⡾⣯⢿⣽⣻⢯⣟⣾⢷⣻⣟⣾⣽⣳⣯⣟⣯⡿⣽⣟⣾⣽⣻⢿⣽⣞⡿⣾⡽⣿⣞⣿⣻⢾⡷⣯⡿⣽⢿⣽⣞⣯⣷⣟⣯⢿⡾⣽⣟⣾⣽⢿⣽⣳⡿⣯⣟⣯⡿⣯⣟⡿⣾⣻⣽⢿⡽⣟⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢯⣟⣿ ⣿⣾⢿⣷⢿⣏⣿⣷⡿⣿⣾⣹⡾⣏⣿⢷⣏⣿⣏⡿⣏⣿⣷⡿⣿⣏⣿⣹⢿⣏⡿⣿⣹⣾⢿⣾⣹⢷⣏⣿⣹⡿⣾⢿⡾⣏⣿⣾⣹⢿⣷⣿⢷⣿⡾⣿⣏⣿⣷⡿⣿⢿⣾⣹⢷⣿⡾⣏⣿⢿⣹⣾⢿⣾⣏⣷⣿⣹⣷⢿⣹⢿⣷⢿⣹⣷⣿⣹⣏⣿⢿⣹⣾⢿⡿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣾⣹⢿⣷⣏⡿⣿⣹⣾ ⣿⢾⣻⣽⣯⢿⣞⡷⣿⣽⢾⣯⣟⡿⣽⣻⣟⣾⣽⣻⣟⡾⣷⣻⣷⣻⣾⣻⣟⣾⣟⡷⣿⣽⣻⣾⣻⢯⣿⣞⣯⢿⣯⣟⡿⣯⣟⣾⣻⣟⣾⣽⣻⢷⣿⣳⢿⣞⡷⣿⢯⣿⣳⣿⣻⢷⣻⡿⣽⣻⢯⣟⡿⣾⣽⣳⣯⣷⣟⡿⣯⣿⢾⣟⣯⣷⢯⣷⢿⣽⣻⣟⡾⣿⡽⣿⡽⣟⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⡿⣽ ⣿⣻⣽⡾⣽⣯⢿⣽⣷⣻⣟⣾⡽⣟⣯⣷⢿⣽⣞⡿⣞⣿⡽⣷⢯⣷⣟⡷⣯⣷⣻⣟⣷⢯⣷⢿⣽⣻⢷⣯⣟⡿⣾⣽⣻⣽⡾⣯⣷⢿⣽⢾⣻⣟⣾⢯⣟⣯⡿⣯⢿⣳⡿⣾⡽⣟⣯⣿⣽⣻⣯⢿⣽⣷⣻⣽⣾⣳⣯⢿⡷⣯⣿⢾⣻⢾⡿⣽⣻⣾⣻⢾⣟⡷⣿⣳⣿⣻⣽⢾⣻⣟⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⣯⣿⣻ ⣿⣽⢾⣻⣽⡾⣟⣷⢯⣷⢿⣽⣻⢯⣟⣾⣟⣾⣽⣻⢯⣷⢿⣯⢿⣳⣯⢿⣻⣾⣽⢾⣯⣟⣯⡿⣞⣿⣻⡾⣽⣻⢷⣯⣟⡷⣿⣽⢾⣟⣾⣟⡿⣞⣯⡿⣯⣷⢿⣻⢿⣽⣻⢷⣟⣿⣳⣟⣾⢷⣻⣯⣷⢯⣟⣾⢷⣯⣟⣯⡿⣷⢯⣿⢯⣟⣿⡽⣷⢯⣟⡿⣾⣻⣽⢷⣯⣟⣾⣟⡿⣞⡿⣞⣯⣿⢾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣳⣯⢿ ⣿⢾⣻⣯⢷⣿⣻⢾⡿⣽⣻⣾⣻⢯⣟⣷⣯⣟⣾⣻⣯⣟⡿⣾⣻⢯⣟⣿⣳⢿⣞⣯⣷⢿⣽⣻⢯⣷⢿⣽⢿⡽⣟⣾⣽⣻⢷⣯⡿⣾⣻⣞⣿⣻⣽⣻⢷⣯⡿⣯⣿⣳⣿⣻⢾⣯⡷⣿⣽⣻⣟⣾⣽⣻⢯⣟⡿⣾⣽⣳⡿⣯⡿⣽⣻⣟⡾⣿⣽⣻⢯⡿⣷⣻⣽⣟⣾⣽⣳⣯⢿⣻⣽⢿⣽⣾⣻⣽⢯⣿⢾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⣾⢿ ⣿⣻⣽⡾⣟⣷⣻⣯⢿⣻⢷⣯⣟⡿⣽⣾⣳⣯⣟⣷⣻⡾⣟⣷⢿⣻⣽⣾⣻⢯⣿⡽⣾⢯⣷⢿⣻⣽⢿⣾⣻⣟⣯⢿⣞⣿⣻⣾⡽⣷⢿⣽⡾⣯⣷⢿⣻⣾⡽⣷⢯⣷⢯⣟⡿⣾⣽⢷⣯⡷⣟⣷⢯⣟⡿⣽⣻⢷⣯⢿⣽⡷⣿⣻⢷⣻⣟⣷⢯⣟⣿⣽⣻⣽⢾⣻⡾⣽⣷⣻⢿⡽⣯⣿⣞⣷⣯⣟⣯⣟⣯⣷⢿⣻⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⡽⣯⣿ ⣿⣽⢾⣻⣽⢯⣷⣟⡿⣯⣿⢾⣽⣻⣟⣾⣽⣳⣯⣟⡷⣿⢯⣟⣯⣿⣳⣯⣟⣯⣷⢿⣯⢿⣯⣟⡿⣾⣻⢾⡷⣯⣟⣯⡿⣞⣷⣯⣟⣯⣿⢾⣽⡷⣯⣿⣻⢾⣽⣟⣯⡿⣯⡿⣽⡷⣯⣿⣞⣿⣻⢾⣟⣯⣿⣻⣽⢿⣾⣻⢷⣻⡷⣟⣿⣽⢾⣯⢿⣻⣞⣷⢿⣽⣻⢷⣟⡿⣾⡽⣟⣿⣳⣟⣾⢷⣻⣾⣻⢾⣻⡾⣿⣽⢾⣳⣿⣻⡾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣟⡿⣾ ⣿⢾⣻⣯⣟⣯⡷⣿⡽⣷⣯⢿⣳⣯⢿⣞⣷⣟⣷⣻⢿⣽⣻⢯⣷⢯⣷⣟⣾⣟⡾⣟⣾⣟⣾⣽⣻⢷⣟⣯⣿⣽⢾⣯⣟⣿⣳⣟⣾⣟⡾⣟⡷⣟⣿⢾⡽⣟⣷⣯⢿⣽⢷⣟⣯⣿⣽⢾⣽⣾⣻⣟⣾⣟⣾⣽⡾⣟⣾⢯⣿⢯⣟⣿⢾⡽⣟⣾⣟⣯⢿⡾⣯⡿⣽⢿⣞⡿⣷⣟⣿⣳⡿⣽⡾⣟⡿⣾⡽⣟⣷⢿⣳⣯⣿⣻⣞⣷⢿⣻⣽⢿⡾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣻⣽ ⣿⣻⣽⡾⣽⣳⡿⣯⣟⣷⣻⢿⡽⣯⣟⡿⣾⣽⢾⣻⣯⡷⣿⣻⡽⣟⣷⣯⣷⣻⣟⣯⣷⢿⣽⢾⣻⣟⣾⣟⣾⡽⣟⣾⣽⣾⣻⢾⡷⣯⢿⣻⣽⢿⡽⣯⣿⣻⢷⣯⡿⣾⣻⣽⢷⣻⡾⣟⣷⢯⣷⣟⣷⣻⣾⣳⢿⣻⣽⢿⣞⣿⣽⡾⣟⡿⣯⣷⣻⣽⢿⣽⡷⣿⢯⣟⣯⣿⣳⢿⡾⣽⣻⣽⢿⣽⣻⢷⣿⣻⡽⣟⣯⣷⢯⣷⢿⣽⣻⣟⡾⣿⡽⣿⡽⣟⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⡿⣽ ⣿⣽⢾⣻⣽⢯⣟⣷⢿⡽⣯⣿⣻⣽⢯⣿⣳⣯⡿⣷⢯⣿⣳⣟⣿⣻⣞⣷⢯⣷⢿⣽⡾⣟⣾⣟⡿⣾⣳⡿⣞⣿⢯⣟⣾⣳⡿⣯⣟⣿⣻⣽⢯⣟⣿⣽⢾⣯⢿⣾⡽⣷⢿⣽⣻⢯⣟⣿⢾⣻⣷⣻⢾⣻⣾⡽⣟⡿⣾⢯⣿⣞⡷⣿⣻⣽⣷⣻⣽⡾⣟⡷⣟⣯⡿⣯⣷⣻⣽⢿⣽⢿⣽⣾⣻⣽⢯⣿⢾⣽⣻⢯⣟⣾⢿⣽⣻⣾⣻⢾⣟⡷⣿⣳⣿⣻⣽⢾⣻⣟⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⣯⣿⣻ ⣿⢾⣻⣯⣟⣯⡿⣾⣻⣟⣷⢯⣟⣾⣟⡷⣟⣷⣟⣯⣿⣳⡿⣽⡾⣯⣟⣾⢿⣽⣻⣾⡽⣟⣷⣯⢿⣷⣻⣽⢿⣽⣻⢯⣷⢿⣽⣷⣻⢷⣯⣟⣯⡿⣾⡽⣟⣾⣟⡷⣿⢯⣿⣞⡿⣯⢿⣾⣻⣟⣾⡽⣟⡿⣾⣽⢿⣽⣻⣟⣾⣽⣻⢷⣟⡷⣯⣟⣾⣽⢿⣽⢿⣽⣻⢷⣯⣟⣾⣯⣟⡿⣞⣷⣯⣟⡿⣾⣻⣽⢯⡿⣯⣟⡿⣞⣿⢾⡽⣿⣞⣿⡽⣷⢯⣟⣾⣟⡿⣞⡿⣞⣯⣿⢾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⡿⣾⣽⣳⣯⢿ ⣿⣻⣽⡾⣽⣳⡿⣯⣷⢿⣾⣻⢯⣷⣻⣟⡿⣾⣽⣳⣯⣷⢿⣯⣟⣷⢿⣽⣻⡾⣟⣾⣽⢿⡾⣽⣟⣾⡽⣯⣿⣞⡿⣯⣟⡿⣞⣷⢿⣻⣾⣽⣳⡿⣯⣟⣿⣳⣯⢿⣯⢿⡾⣽⣻⣽⢿⣞⣷⣯⡷⣿⣻⣽⡷⣯⣿⣽⣳⣯⣟⣾⢯⣿⢾⡿⣽⣻⣾⡽⣿⢾⣯⡷⣿⣻⣾⣽⣳⢿⣞⡿⣯⣷⣟⡾⣿⣽⣻⢾⣟⡿⣽⡾⣟⡿⣽⣯⢿⣷⣻⣾⣻⣽⣟⣯⡷⣿⡽⣿⡽⣿⣽⢾⣻⣽⢯⣿⢾⣽⣻⢷⣯⣟⡿⣾⣽⣻⢷⣯⣟⣾⢿ ⣿⣽⢾⣻⣽⢯⣟⣷⣯⢿⣞⡿⣯⣟⣷⣻⣽⡷⣯⣟⣾⡽⣟⣾⣽⡾⣿⣽⣳⡿⣯⣷⣟⣯⣿⣻⣞⣯⡿⣷⣻⢾⡿⣽⡾⣟⣯⡿⣯⣷⣟⣾⢯⣟⣷⣟⡷⣯⣟⡿⣾⣻⣽⢿⡽⣯⣿⢾⣻⡾⣽⡷⣟⣷⣟⡿⣞⣷⣟⡷⣯⣟⣯⣟⣯⣿⣻⢷⣯⢿⡽⣟⣾⣽⡷⣟⣾⢷⣻⣯⢿⣽⣷⣻⢾⣟⣷⢯⣟⣿⢾⣻⣯⣟⡿⣽⣟⣾⣟⣾⢷⣯⣟⣾⣽⣾⣻⢷⣟⣯⢿⣳⣯⡿⣯⣟⣯⣟⣯⣷⢿⣻⣾⣽⣻⢷⣯⣟⡿⣾⡽⣯⣿ ⣿⣾⢿⣏⡿⣏⣿⣾⣹⣏⣿⣹⡿⣾⣹⢿⣾⣹⣿⣹⣾⢿⣏⡿⣾⣹⣷⣏⣿⣹⣷⢿⣾⣹⣾⣷⢿⣹⢿⣷⡿⣏⣿⣏⡿⣿⢷⣿⣹⣾⣹⣾⡿⣿⣾⣹⢿⣹⣏⣿⣷⢿⣹⣏⣿⣷⣏⣿⢷⣿⣏⡿⣿⣾⣹⢿⣏⣷⢿⣹⣿⣹⢿⣾⢿⣾⣹⡿⣾⡿⣿⣏⡿⣾⣹⣿⣹⢿⡿⣾⡿⣷⣏⡿⣿⣾⣏⣿⢿⣾⣿⣹⡾⣏⣿⢿⣾⢷⣏⡿⣿⣾⣹⢷⣿⣾⣹⣿⡾⣿⢿⣹⣷⢿⣹⣾⢿⣾⢿⣾⣿⣹⣾⢷⣿⢿⣾⣹⢿⣷⡿⣿⣾ ⣿⢾⣻⣽⣻⢯⣷⣟⣷⣻⢷⣻⣽⢿⡽⣯⣟⣷⢯⣷⣟⡿⣾⣻⢿⣽⣞⡿⣾⡽⣯⡿⣽⣻⡾⣽⣻⣯⢿⣾⡽⣟⣷⣯⢿⣯⢿⣳⣿⣳⢿⣳⣿⣳⣯⣟⡿⣽⣾⣳⢿⣻⣽⣻⣞⣷⣯⣟⣯⣷⣟⣿⣳⣯⣟⡿⣾⣻⢿⣽⣞⣯⣿⢾⣻⣷⣻⣽⢿⡽⣷⣻⢿⣽⣻⡾⣽⡿⣽⣯⣟⣷⢿⣽⣷⣻⢾⣯⢿⣞⡷⣿⡽⣿⣽⣻⡾⣟⣯⡿⣷⢯⣟⣿⣳⣯⣷⢯⣿⡽⣟⡿⣾⣻⢯⣟⡿⣾⢯⣷⢯⣟⣾⢿⡽⣯⣷⢿⣯⡷⣿⣻⢾ ⣿⣻⣽⢷⣻⣟⣷⣻⣾⣻⢿⡽⣯⣟⣿⣽⣻⢾⣟⡷⣯⡿⣷⣻⢿⡾⣽⣻⢷⣟⣯⢿⣻⢷⣟⣿⣳⢿⣻⣞⡿⣯⣷⣻⣟⣾⣟⡿⣾⡽⣟⡿⣾⣽⣳⣟⣿⣽⢾⣻⢿⣽⣳⡿⣽⣾⣳⣯⢿⡾⣽⡾⣯⣷⣻⣟⡷⣿⣻⣾⣽⣳⣯⡿⣷⢯⣟⣾⣟⡿⣽⣯⢿⣳⡿⣽⣯⣟⣷⣟⣾⢯⣿⣞⡷⣿⣻⢾⡿⣽⣻⢷⣟⡿⣞⣷⢿⣻⢷⣟⣯⣿⣻⢾⣽⡾⣽⣻⢷⣟⡿⣽⡷⣿⣻⢯⣟⣯⡿⣯⣟⣯⣟⣯⣿⣻⢾⣟⣾⣽⡷⣿⣻ ⣿⣽⢾⣟⡿⣾⡽⣷⢯⣟⣯⡿⣯⣟⣾⢷⣻⡿⣞⣿⣽⣻⢷⣟⣯⣿⣻⣽⢿⣞⣿⣻⢯⣿⢾⣯⣟⡿⣽⣯⢿⡷⣯⣷⣟⡷⣯⡿⣷⣟⡿⣽⡷⣯⣟⣾⣽⡾⣟⣯⣿⣳⡿⣽⣟⣾⡽⣯⣿⡽⣿⡽⣷⢯⣷⣟⣿⣳⡿⣞⣷⣟⡷⣟⣯⡿⣯⣷⣻⣽⣟⣾⣟⣯⢿⣻⡾⣽⣾⣻⢾⣟⡷⣯⡿⣷⣻⣯⢿⣻⣽⢿⣞⡿⣯⣟⡿⣽⡿⣞⣿⢾⡽⣟⣷⢿⣻⣽⢿⣞⡿⣯⣟⣷⢿⣻⢯⡿⣽⣷⣻⣽⣾⣻⢾⣽⢿⣞⡿⣾⣽⢷⣿ ⣿⢾⣻⣽⣻⢷⣟⣯⡿⣯⣷⢿⣯⣟⣾⣟⣯⣟⣿⣳⣯⣟⡿⣾⣻⢾⣽⣾⣻⣽⣾⣻⢯⣟⡿⣾⣽⣻⣟⡾⣿⡽⣷⣻⡾⣿⣽⣻⢷⣯⢿⣯⢿⣽⢯⣷⢯⣟⣯⡿⣾⣽⣻⣽⡾⣯⣟⣷⣯⢿⣳⡿⣯⣿⣳⢿⡾⣽⣻⢯⣷⣻⣟⣯⡿⣽⣷⣻⣽⣾⣻⢾⣽⡾⣟⣯⢿⣻⡾⣽⡿⣞⣿⣽⣻⢷⡿⣽⣻⣟⣾⢯⣿⡽⣟⣾⣟⣯⣟⣯⣟⣯⣿⣻⣽⣻⣽⡾⣿⣽⣻⣽⡾⣯⡿⣯⣿⣻⣽⢾⣯⢷⣯⣟⣯⣿⣻⢾⣟⣷⣯⢿⣾ ⣿⣻⣽⢷⣻⣯⣟⡷⣿⣽⢾⣟⣾⣽⣳⣯⣟⣾⢷⣻⢷⣻⣽⡷⣿⢯⣷⢯⣟⣾⢷⣻⡿⣽⣻⢷⣯⡷⣟⣿⣳⡿⣯⣷⢿⣳⣯⣟⡿⣾⣻⡽⣿⢾⣻⣽⣟⣯⣷⢿⣳⣯⣟⡷⣿⣽⢾⣻⢾⣟⣯⢿⣳⣯⣟⣯⣿⣻⣽⢿⣽⣳⣯⢿⣽⡷⣯⣟⣾⢷⣻⣯⡷⣿⣻⣽⣟⡷⣿⢯⣟⣿⣳⣯⣟⣯⣿⣻⢷⣯⣟⡿⣞⣿⢯⣷⣻⣽⣾⣻⢾⣻⣾⣽⣳⣿⣳⢿⣳⣯⣟⣾⣽⡷⣟⡿⣾⡽⣯⣿⢾⣻⢷⣯⣟⣾⡽⣿⢾⣳⣿⣻⢾ ⣿⣽⢾⣟⡿⣾⣽⣻⢷⣯⡿⣾⣻⢾⣽⣳⡿⣽⣻⣯⢿⣯⡷⣟⣯⣿⣽⣻⢯⣟⣯⡿⣽⣻⣽⢿⣞⡿⣯⣷⢿⣽⡷⣯⡿⣯⡷⣟⣿⡽⣯⣿⡽⣟⣯⣷⢯⣟⣾⣟⣯⡷⣟⣿⣳⣯⣿⣻⣟⣾⢯⣿⢯⣷⢿⣽⡾⣽⡾⣿⣽⣳⡿⣯⣷⣟⣯⢿⣾⣻⣟⣾⣽⡷⣟⣷⢯⣿⢯⣟⡿⣾⣽⣳⣯⣟⣾⡽⣿⢾⣽⣻⢯⣟⣯⣷⣟⡷⣯⣟⣿⣳⣟⣾⣽⢾⣻⢿⣽⣳⡿⣽⣞⣿⡽⣟⣷⢿⣻⢾⣻⣯⢿⣞⣯⣷⢿⣯⢿⣻⡾⣽⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣷⣿⣿⡇⣀⣠⣤⡴⣦⢤⣄⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣴⣿⣅⣻⣿⣿⣿⣿⢿⠹⢣⠳⢾⣾⣿⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⣿⣿⣿⣿⣿⣿⣿⢇⣏⠳⠿⠞⣵⣏⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣾⣿⣡⣿⣻⣿⣿⣏⢮⡱⡡⣿⣼⣩⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⣿⡟⢟⡟⣿⣿⣿⡼⣿⣯⢷⡍⡶⠴⣾⣳⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣦⣾⡿⢘⣿⣿⣿⣟⡾⣷⣿⣷⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣶⣟⣿⣇⡿⠹⣿⠏⣽⣿⣿⡃⢙⣿⠿⢻⣿⣶⣤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣾⠯⠘⢤⢣⢴⡁⣻⡟⢦⣿⣿⣿⣿⣿⣷⣦⡀ ⠀⠀⢠⣴⣾⣿⣟⣙⣿⣷⣏⠀⠠⣃⢮⣎⢿⣳⣿⣇⣿⣿⣯⣿⣿⣿⣿⣿⣿ ⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⢤⣄⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣞⠞⢽⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡟⡙⢦⡙⠷⢫⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠈⣭⣭⡍⣭⣌⡉⣭⣭⡍⣭⡍⣭⡍⣭⣌⡀⢁⣭⣍⢉⣭⣍⢉⣭⣉⢉⣭⡍ ⠀⢸⣿⠈⣿⣼⡓⣿⣿⡇⣿⣿⣿⡇⣿⣼⠇⠘⣳⡿⢸⡇⣿⠘⣳⡟⣼⣿⡇ ⠀⠸⠿⠀⠿⠸⠟⢿⡿⠇⠿⠿⠹⠇⠿⠀⠀⠰⠿⠥⠹⢧⠿⠸⠿⠤⠛⡿⠗

⠀⢠⠖⠋⡩⢳⠖⠒⠚⠉⠁⠉⠉⠉⠁⠂⠂⠒⠒⠒⠤⣄⡀⣀⡀⡀⠀⠀⠀⠀⠀⠀ ⢰⡋⡠⠂⠀⢸⠀⠀⠀⠀⠀⣴⠊⠉⠉⠉⠓⠒⠒⠉⠉⠉⠁⠀⠀⠀⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⡄⠀⠀⣤⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠄⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠁⠂⠒⠊⠁⠀⠈⠉⠓⢆⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠄ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠚⢏⡙⠒⠒⠒⠒⠲⣄⠀⠀⠀⠀⠀⠘⡀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⡀⠀⠀⠀⠀⠀⠉⢢⠀⠀⠀⡈⢳ ⠀⠀⠀⠀⠀⠀⢯⠦⠤⡖⢆⠀⠀⠀⠀⣀⡀⠀⠀⠓⣆⠀⠀⠀⠀⠰⠓⠐⣾⠗⠼⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡃⠘⠂⡗⠀⠀⣈⣀⡈⡈⠅⢄⣀⡀⠀⠀⠀⢀⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠒⡠⠀⠈⠁⢡⢐⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⢰⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠦⠸⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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