⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣤⣾⢿⣦⣤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣽⣟⣿⡿⣽⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢯⣷⡄⠀⣤⡀⠀⠀⠀⣀⠀⣾⣷⢏⣀⣀⠀⠀⢀⣀⣀⣤⣤⡴⠶⠶⣶⣶⣶⣶⠶⠦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣾⣟⣾⣻⣽⡷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⡿⣶⣿⣷⣤⡄⢸⣿⣦⣿⣿⣿⠄⠈⠑⢾⣉⡭⠵⠾⠚⠛⣋⠭⠟⠛⠯⣍⡛⠛⠛⠾⢯⣍⠳⣦⡀⠀⠀⣠⣤⣄⣀⣿⢾⡵⣳⢷⣻⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⢾⣷⣤⣉⣙⡿⣜⣧⢿⡗⢋⣹⣷⠿⠾⠛⠛⠛⠛⠛⠛⠶⠶⣤⣤⣎⠠⢄⡀⠀⢀⠤⠛⡆⠀⠀⠀⢘⣧⠈⢿⠀⠀⠙⠿⣯⣿⣹⣿⢾⣝⣯⡟⠀ ⠀⠀⠀⠀⠀⠀⢠⣤⣤⣼⣿⣽⣫⢟⡽⣮⣿⠿⠛⣉⣤⣴⣶⣶⣿⣶⣶⣶⣶⣤⣤⣄⣈⠉⠛⠳⠶⣿⣤⣤⣀⣽⣤⣤⣤⠾⠃⢠⡿⠀⠀⠀⠀⠈⢷⣯⡿⣟⣮⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠉⠉⠀⣿⣽⢾⡽⠋⢁⣴⣿⣿⢻⣯⢟⣳⡟⣾⣝⡯⢿⣽⣻⣟⡿⣿⣿⣷⣶⣶⣤⣤⣭⣭⣤⣤⣤⣴⣾⣿⣤⡀⠀⠀⠀⠀⠀⢻⣽⣳⣭⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣄⠉⠀⣠⣾⣿⡳⣏⡿⣼⢯⣳⢿⣱⢾⡽⣛⣶⡻⣼⣛⡷⣛⡾⡽⢯⣟⡿⣻⡟⣿⣻⢟⡿⢿⣷⢯⣿⡄⠀⠀⠀⠀⢸⣿⢧⣟⣾⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠋⠉⢿⡾⣽⣹⢷⣫⢯⢷⣯⣯⣷⢻⡽⢶⣛⡷⣽⣹⢯⣽⣿⣿⣼⡽⣳⣽⢳⡯⣿⣇⠁⢹⣿⢾⡇⠀⠀⠀⠀⣸⣟⣯⣞⢾⣿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣳⢯⡾⣝⣯⣿⡟⡿⣭⢟⡞⣯⠽⣞⣳⢏⡿⣼⢯⣟⣿⣿⣳⡞⣯⢷⣻⣿⡆⢸⣿⣿⠃⠀⠀⠀⢀⣿⣻⢶⣫⣟⣾⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢧⣟⣳⢯⣻⢧⡻⣝⢮⣛⠼⣣⢟⡼⣣⢟⡽⣞⣳⣾⣳⢯⣶⢻⣽⣫⢷⢯⣿⣿⠻⢿⡀⠀⢀⡴⢻⣿⣯⢷⣻⡼⢯⣟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣏⡾⣝⣯⢞⡳⣽⣿⣣⢎⡳⢱⢎⡼⣱⢫⡞⣵⣿⣿⣵⡻⢮⣟⡶⢯⣻⣛⡾⣿⣷⠀⢻⡖⠋⠁⠘⣿⡽⣞⣧⣟⣯⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢺⣿⣷⣫⡽⣏⡾⣭⢳⢻⠿⡟⢤⢃⠇⡎⠴⣃⠧⣝⢮⡟⣿⢳⣻⣻⣼⣛⣯⠷⣯⣟⢾⣿⠀⠀⠻⣆⠀⠀⠸⣿⣳⣽⣾⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⢡⣿⡿⣞⣵⡻⣵⢻⢬⢣⢋⠖⡡⢊⠤⡉⢌⣷⢌⠳⣎⡳⡽⣞⢯⣳⢷⣣⣟⡞⡿⣵⣞⣿⡇⢰⡶⠶⠾⠃⠀⠀⠈⠻⣟⢹⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⣾⣿⣻⡽⣞⣵⢫⣏⣎⠳⡌⢆⠱⢈⠤⡁⢿⣿⣮⠳⣜⡳⣽⢞⡯⣷⣿⣷⣭⠿⣝⡷⣾⣿⢀⡾⠃⠀⠀⠀⣀⠀⢀⣀⣼⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢤⢼⣿⣯⢷⣻⣝⡮⢷⣾⣿⡳⢌⠢⡑⢌⠰⡈⢆⡍⢲⣙⢮⡳⢯⡾⣽⣾⡿⣯⢯⣟⡽⣞⣿⣧⣾⠀⠀⠀⢠⣾⠷⠟⠛⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⢸⣿⣯⠿⣵⢾⣹⢧⡻⣜⠿⣿⣶⣥⣊⡔⡡⢎⡜⣣⢞⡧⣟⣯⣿⣿⡿⣽⣳⡻⢮⣟⣭⣿⣏⣿⠀⠀⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡞⠁⠀⢸⣿⣯⢿⡽⣫⣞⣳⡝⣮⡝⣹⢿⣿⣿⣿⣿⣾⣿⣷⣿⣿⣿⣿⣿⡿⣽⢳⣳⢟⣻⣼⣳⣿⡇⢿⡄⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⣸⣿⣷⣦⡈⣿⣯⣟⣾⣳⢯⣳⡽⣲⢽⡱⣎⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣏⡷⢯⣻⠽⣞⡷⣣⣟⣾⣿⠘⣷⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣾⡷⣦⣀⡀⠀⢠⣾⡟⣧⢿⡽⣷⣽⣿⣞⡷⢯⣻⣵⡻⣵⣫⢷⡹⣞⡱⣏⢿⡻⣿⠿⣟⣿⡹⣷⢫⣟⣯⡽⣻⡽⣞⣷⣻⡼⣿⣧⠘⣷⡀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣽⣏⡿⣽⣻⢿⣳⣻⡽⣾⣽⣿⠟⢻⣿⣽⢯⡷⣯⣽⣳⢟⣞⡷⣭⢷⣫⡞⣵⣫⢟⡾⣜⡿⣱⣟⡾⣼⣳⢯⣷⣻⢾⣵⣻⢷⣿⣦⠈⠻⣦⡼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢉⣿⣳⢿⣻⢿⣷⠿⠛⠉⣼⠀⢀⡝⣿⣯⣷⣻⣞⣭⣟⡾⣽⣛⣾⢳⣻⣳⡽⢯⣻⡽⣽⣳⢯⣟⡷⣯⣟⡾⣽⣻⢾⣽⣿⣿⠋⠷⣤⣈⠙⠒⣲⡶⠀⠀⠀⠀⠀ ⠀⠀⢠⣾⣳⢯⣻⣵⣻⡆⠀⠀⠰⣇⢀⡞⠀⢸⣿⣷⣿⣞⣳⢯⣟⣷⣻⣞⣯⢷⡯⣟⣯⢷⣻⢷⢯⣟⡾⣽⣳⢯⣟⣷⣿⣿⣿⢫⣿⠀⠀⠈⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⣟⡷⣯⠷⣞⣽⠃⠀⣀⣠⠿⠋⠀⢠⡿⠹⣯⢙⡿⣿⣿⣾⣵⣳⣟⡾⣯⣽⣻⣞⣯⣟⣯⣟⣾⣽⣷⣿⣿⢿⣿⠿⠣⠿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡿⣾⣻⣿⠿⣽⠃⠈⠻⣯⣀⣀⣠⡶⠟⠁⠀⣿⡿⢣⠜⡛⢯⢿⣻⣿⣿⣿⣿⢿⡿⣿⢿⣿⣿⣻⣿⡽⠟⠛⡉⢦⡙⠡⠐⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⣟⣿⣳⣯⣟⣿⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⣿⢻⣆⠡⣍⠂⠄⠠⢈⠉⡉⢉⠛⠙⠋⢋⠉⢉⠀⠄⠠⠈⠐⠈⢠⠘⣀⡽⢻⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠛⠻⣿⣿⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⢸⡇⠤⠉⠄⠂⠄⠂⡀⢂⠐⣮⣴⣢⣼⢀⠂⠌⢀⠡⠈⡐⠀⢂⣸⢧⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣯⣿⠀⡁⠂⠌⢀⠂⠐⡀⠑⢢⣹⣿⣦⢉⠆⡐⠠⢀⠂⡀⠡⣠⡷⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⣦⣬⣄⣤⣥⣴⡾⠟⠋⠀⠛⠿⠶⣶⣶⣶⣶⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠻⢿⣟⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⣟⡷⠉⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠈⢡⣿⠀⠀⠀⠀⠀⠀⠀⠀⡟⢮⡁⠀⠀⠀⠀⠈⠑⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⣷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠷⣄⡀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⡸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣌⠓⢄⡀⠀⠀⣀⢾⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣄⡀⠀⢀⣠⠔⣵⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⣌⣉⣉⣤⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⢯⣭⣥⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

ᕕ( ᐕ )ᕗ ᵒʰ ʸᵉᵃᵃʰʰ