Adeline Emoji Combos

👑🅰️

🌹🥀🐁

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

˚˖𓍢ִ໋🦢˚‧₊ ᵎᵎ 🍒 ⋅ ˚✮💋ྀིྀི

♡₊˚ 🦢・₊✧˚˖

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡿⠛⣿⡙⠻⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡟⢁⣾⠟⠛⠿⣾⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡟⢹⣿⠋⠀⠀⠀⠀⠙⠻⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣼⣿⣿⣤⣿⠷⠶⢶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠈⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠈⠛⢿⣿⣿⣿⣧⠀⠀⠀⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⢀⡀⠀⠀⠸⣦⡙⢿⣿⣿⡆⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⢿⣿⣿⣜⣷⣄⣉⣻⣿⡿⠿⠷⢶⣤⣤⣤⣿⣷⣄⠀⠀⠀⣠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣄⡀⠈⣿⣿⣿⣝⣻⣿⣿⣇⢠⣤⣤⡶⠿⣿⣩⡿⠻⠷⠶⠾⠟⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠹⣿⣻⣿⣿⣿⣿⡀⠈⢻⣿⣿⣿⣗⣻⣿⡿⠁⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠋⠉⠁⠘⣷⠀⠀⢻⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠴⠿⠿⠛⠛⠿⢶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣀⣀⣀⣤⣿⠇⠀⠀⢻⣷⠿⠿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣯⣭⣽⣯⣭⣭⣿⠿⠿⣾⣷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⣽⡟⢠⡄⣴⡿⢛⠷⣦⣄⠙⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⡿⠛⠋⢹⡟⠉⠀⣽⠿⠋⠀⢠⣾⡿⣿⣿⣟⠿⢶⣦⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⣇⣻⣿⠟⠀⠈⠻⣷⡀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠰⠿⠿⠷⠿⠷⠶⠶⢾⣷⣤⣼⣿⠇⠀⠀⢸⣿⣷⠿⣻⣿⠀⠀⠀⠙⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣤⡀⣿⣷⣌⣿⣿⠀⠀⠀⠀⠀⠙⣷⡄⢻⣧⡀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣦⣼⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⣀⣶⠈⠻⣿⣟⣛⣿⠀⠀⠀⣰⡿⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣧⠘⢿⣿⣉⢉⣉⣹⣇⣤⣶⣦⣤⡀⠈⣿⡄⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠃⠀⠀⣠⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣏⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠿⠶⠶⠶⠾⢻⡿⠀⠀⠀⠈⢉⣥⣴⡶⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣆⣼⢟⣿⡟⠉⠉⠉⠙⠛⠛⠋⠉⠀⢸⣧⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣤⣤⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣦⣀⣀⣀⣀⣴⡿⠁⠀⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠟⠛⠁⠘⠻⣿⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣦⡄⠙⢿⣶⣤⣶⡶⢶⣶⡶⣶⣦⣤⣼⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⢀⡀⠀⠈⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣀⡈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢾⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣯⠁⠀⣼⠋⠁⠀⠀⢸⡏⠁⠀⠀⣀⣤⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⢸⡇⠀⢸⡇⢿⣿⣦⣤⣴⣶⡶⠶⣶⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣯⣴⣶⣿⠇⠀⠀⠀⠈⠛⠶⠶⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⢸⡇⠀⢰⣷⠀⠻⣷⡄⠀⠀⠀⠀⠀⣩⡿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⢸⡇⠀⠀⣿⠀⠀⠘⣿⣆⠀⢀⣠⡾⠟⢡⡿⠉⢻⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⣸⣧⠀⠀⣿⠀⠀⠀⠘⣿⣶⠟⠉⠀⣠⡿⠁⠀⣼⡏⠙⢿⣦⠀⠀⠀⠀⠀⠀⣠⣾⡟⠀⣠⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⢰⣆⠀⢶⣿⣿⠶⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⣿⣿⠀⠀⢿⡆⠀⠀⠀⠈⢿⣧⠀⣴⠟⠁⣠⣾⠟⠀⠀⠈⢿⣷⣀⣀⣤⣶⠟⣫⣿⣡⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢀⣾⣧⣤⣤⣤⣤⣤⣤⣤⣼⣿⠀⠀⠈⣿⠟⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⣿⣭⠀⠀⢸⡇⠀⠀⠀⠀⠈⢿⣧⣴⡶⢿⣟⢁⡀⠀⠀⠀⠘⠿⢿⣿⣥⣤⣜⡟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀⠀⠀⣠⣾⢻⡇⢠⡶⢶⣾⠟⠀⠀⠀⣿⡆⠀⠀⢿⡆⢹⡇⠀⠀⠀⠀⠀⠀⢀⣤⣴⣿⡀⠀⠀⠀⠀⠀⣿⣋⠀⠀⢸⣇⣀⠀⠀⠀⢀⣼⣿⣄⠀⠈⠙⢻⡇⠀⢰⡆⠀⣤⣄⡀⢀⣩⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⢸⡟⠁⣾⠇⢻⣦⣿⠁⠀⠀⠀⠀⢸⣷⡶⠟⢿⣇⠸⣷⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣶⣤⣤⣤⣶⣿⣦⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠈⠻⠿⠿⢿⣶⣾⡟⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⢀⣸⣷⣄⢿⣆⠀⣈⣻⣷⡀⠀⠀⠀⠈⣿⠀⠀⠘⣿⣀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠻⣿⣷⠿⠿⠿⣿⣿⣿⣟⠿⠟⠛⢻⣿⡿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣾⡟⠛⣿⣿⡏⢻⣿⣟⣻⣿⣿⡆⠀⠀⠀⢻⣿⠿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠟⠋⠉⢿⡆⠀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠠⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠛⠃⠀⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠻⠿⠿⠿⠟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠶⠶⠶⠾⠷⠾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠶⠴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⣿⡛⠛⠛⠻⠿⠿⢶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⣶⠿⠿⠟⠛⠛⢛⣻⣿⣿⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⣀⠀⠀⠀⠀⠀⠈⠉⠛⠻⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿⠟⠛⠉⠉⠀⠀⠀⠀⠀⢀⣴⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀⠀⢀⣴⠟⠋⠉⠉⠛⠿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⠛⠉⠉⠙⠻⣦⡄⠀⠀⠀⠀⢀⣴⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣦⡀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠈⠙⠿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣟⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡅⠀⠀⠀⠀⠀⠀⢀⣠⣴⠾⠛⠋⠉⠉⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠟⠋⠉⠉⠛⠿⢶⣄⡀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⠀⢀⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡄⠀⠀⠀⠀⠀⠀⢠⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣹⣿⣶⠿⠿⠿⠿⣶⣿⣏⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣤⡿⠁⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⢻⣆⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠃⠀⠀⠀⢀⣠⣴⡾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠷⣦⣄⡀⠀⠀⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣇⠀⣠⣴⢿⣋⣁⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣶⣦⡀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣾⢿⣿⢟⣉⣀⠀⠉⠛⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠈⠻⣿⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⢡⣟⣵⡿⠛⠻⣿⣄⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠛⢻⣷⡄⠈⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⢿⡇⣿⣼⡿⠁⠀⠀⠘⣿⡄⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠀⠀⠹⣿⡄⢸⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⠿⠋⠁⢾⣿⣷⣿⠁⠀⠀⠀⠀⢹⣷⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⢻⣧⠀⡟⠈⠙⠿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⠿⠟⠉⠀⠀⠀⠀⠀⣾⣸⡏⢠⣤⣴⣶⣶⣾⣿⠀⠀⢿⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣶⣶⣶⣦⣤⡘⣿⣠⡇⠀⠀⠀⠀⠉⠛⠿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣿⡇⠘⠛⠋⠉⠉⠉⣿⠀⠀⣸⠀⠀⠀⠀⠀⠿⠖⠆⠀⠀⠀⠀⠀⠀⠀⢸⡏⠉⠉⠉⠛⠛⠀⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⠿⠟⠛⠛⠛⠛⠛⠛⠳⠶⢶⣤⣤⣤⣀⣿⣿⢿⣇⡀⠀⠀⠀⠀⠀⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣠⣿⠉⣿⣤⣤⣤⣴⡶⠶⠾⠛⠛⠛⠛⠛⠛⠻⠿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡟⢻⡌⠛⠿⢷⣶⣶⣶⡾⠟⠀⣼⠇⠀⠀⠸⠷⣶⣄⣠⣴⠾⠇⠀⠀⠀⠀⣀⠘⠿⣶⣶⣶⣶⠿⠟⠉⠀⣹⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠈⢿⣄⡀⠀⠀⠀⠀⢀⣤⣾⠃⠀⠀⠀⠀⠀⠀⠙⠋⠁⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠈⠙⠻⠶⠶⠾⠛⠉⡏⠀⠀⠀⠀⠀⠀⢀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣿⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣄⠀⠀⠀⣠⣴⡿⢿⡟⢿⣦⣄⡀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⣶⣶⣴⣶⡾⠿⠛⠋⠁⠀⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠙⠑⠿⣿⠋⠁⠀⢸⡇⠀⠈⠙⣿⡷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡟⠁⠀⠉⠛⠿⢷⣶⣦⣶⣶⡾⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⢸⡇⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣄⡀⠀⠀⠀⠀⠀⠹⣷⣄⠀⠀⣀⣾⠏⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⢿⣶⣄⡀⠀⠀⠀⠈⠛⠛⠛⠛⠁⠀⠀⠀⢀⣠⣴⣿⠟⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠉⠛⠻⠷⣶⣤⣤⣤⣤⣄⣤⣤⣤⣴⡾⠿⠛⠉⠀⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢷⣶⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣶⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠻⠿⢶⣶⣤⣤⣤⣤⣤⣤⣤⣶⣶⠶⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⣿⣿⣿⠿⡿⢿⠿⡿⣿⢶⣶⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣶⣶⢾⡿⢿⠿⡿⣟⢿⣿⣿⡿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣽⢭⡻⣵⢋⡾⣱⠯⣝⢯⡟⡿⢿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⡿⢿⣻⢻⡽⣹⢞⡼⣣⢟⣭⢳⣝⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⡱⣏⠷⣭⢻⡜⣧⢻⣹⢳⢮⣽⣽⢿⡿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⡿⣿⢿⣝⡮⣝⢧⣏⡳⡞⣵⢫⡞⣵⢫⣮⣷⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣯⣝⢮⡳⣝⢮⡳⣭⡷⣿⡹⣎⢷⡹⢮⣝⡻⢿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡿⣟⢯⡳⣝⢮⣛⡼⣛⣯⡶⣣⢟⡹⣜⢧⡻⣼⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣾⡱⣏⢾⣱⣿⡹⢶⡹⣎⢷⣹⢳⢮⣝⡳⣎⡟⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⢻⣭⢳⡝⣮⢵⢫⡞⣥⢏⡗⣮⠽⣷⣋⢷⡹⢮⣽⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡝⣮⣟⢶⡹⢧⡻⣜⢧⢯⡝⡾⣜⡳⣝⢾⡱⣞⡽⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠿⣝⢮⡳⣎⢷⡺⢵⣎⢷⡹⣎⡻⣜⢧⡻⢽⣏⡞⣽⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡿⣎⢷⡹⢧⡻⣜⢯⣞⡹⣞⡵⢻⡜⣧⣿⡼⡷⢷⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⣯⢿⡼⣧⣟⡼⣣⢟⣣⢞⡧⢻⣜⡳⣝⢮⡝⣧⢻⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡼⣣⢟⣧⢻⣜⡳⣎⢷⣹⣼⢿⡻⣝⢶⡹⣝⢯⡞⣼⢛⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠿⣭⢳⡝⣎⢷⡹⡞⣽⢻⣮⣗⣫⢞⡳⣎⢷⡹⢮⡝⣮⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⢻⣬⢳⣎⢷⣹⡾⢯⡝⣮⢳⡝⣮⢳⡝⣶⡹⣎⢿⣸⢻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⣭⢻⡜⣧⢻⡜⣧⣛⠽⣎⢷⣣⢟⡷⣏⢷⡹⢮⡝⣧⢻⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡳⣎⠷⣎⣷⢿⡹⢧⡻⣜⢧⡻⣜⢧⣛⢶⡹⣎⠷⣭⢳⡞⣿⣆⣠⣤⡶⠶⢦⣤⣤⣀⣾⣯⢳⣭⢳⡝⣮⠳⣝⠶⣭⢻⣜⡳⣎⢯⢞⡽⣷⡹⣇⡻⣜⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣎⠿⣼⣛⢮⡝⣧⢻⡜⣧⢻⡜⣧⣛⢮⡳⣭⣻⣼⠷⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠉⠙⠛⠷⢮⣷⣹⢎⡿⣜⡻⣜⡳⣎⢷⡹⣎⢯⢞⡹⣷⣭⢳⣽⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣯⣿⢯⡝⣮⡝⣮⢳⡝⣮⢳⡝⣶⣹⡾⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠾⣮⣳⣭⢳⡝⣮⢳⡝⣮⢏⡷⣹⢷⣻⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⢣⣟⡲⣝⢮⡳⣝⣮⡷⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⣿⣜⣧⢻⡜⣮⢳⡝⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣳⢎⡷⣹⣮⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣽⣎⠷⣹⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣎⣷⠟⢁⡠⡖⣭⢫⡝⣹⠲⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣯⣳⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠟⠀⣰⢫⣵⣽⣶⣷⣜⡥⣛⠴⡹⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣄⡀⠀⠀⠙⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⡼⣡⣿⠟⠁⠀⠈⠹⣷⡍⣞⡱⣋⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠋⠀⠀⠉⢿⣦⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⢻⠁⢰⠳⣽⠏⠀⠀⠀⠀⠀⢹⣿⡰⢣⢇⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⢻⡆⠀⠀⣿⢿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠾⠛⠁⠀⣼⠀⣾⣹⡟⠀⠀⠀⠀⠀⠀⠀⣿⡧⣋⠞⣼⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⢸⢇⡞⢻⢿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠟⠋⠁⠀⠀⠀⠀⠈⢰⢣⣿⠃⠀⠀⠀⠀⠀⠀⠀⢸⡷⣍⠞⡴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⢎⡜⣣⢞⡸⣛⠿⣷⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢣⣿⠀⢰⣶⣾⣿⣿⣿⣿⡎⣿⣌⠻⡔⡇⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢺⣿⣿⣿⣿⣶⣶⡄⠈⣷⢠⣾⠣⢞⡡⢎⡵⢪⡕⣎⡹⣛⠿⣶⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡯⣽⡧⠀⠈⠉⠁⠀⠀⠀⠀⠀⣿⡬⢳⡍⡇⠀⠀⠀⠀⠀⠀⠘⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠉⠉⠁⠀⣿⠀⣿⡹⣌⠳⣍⢖⡣⢞⠴⣓⢬⠳⣥⢋⡟⢿⣷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⠿⢟⡒⣒⢒⡒⣒⠒⡖⠦⢤⣤⣀⣀⣀⡀⠀⠀⠀⡾⢸⣼⣷⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢇⡳⣜⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⢹⡗⣬⢳⣜⣪⣜⣣⣽⡼⠾⢗⡚⢳⢚⠳⣒⠛⠿⠿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⡫⠑⡤⠚⢤⠒⡌⢂⠖⡨⡑⠬⡘⠆⡴⢁⢎⡩⢙⠛⡛⣻⠇⢸⢆⠿⣷⣦⣄⡀⠀⠀⢀⣀⣼⣏⢮⠱⡾⠀⠀⠀⠀⢠⣀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⣀⠀⠀⠀⢀⣠⣴⠾⠋⠀⠀⣿⠛⡛⠩⢍⡡⢃⠒⣌⠲⢌⡐⠣⢌⠒⡌⡜⣡⠒⡔⢌⡙⢻⢷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣗⠌⡔⠩⡔⡉⢆⠱⡈⠥⢊⠔⡡⠚⠤⢩⡐⡉⠦⡰⢉⠖⡡⣿⠀⠈⢯⡚⡴⣩⢛⡟⢿⡻⢟⡻⣍⠞⣬⡿⠁⠀⠀⠀⠀⠀⠈⠙⠳⣤⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠈⠉⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⢻⡇⡘⠥⢢⠑⡬⠱⡀⠧⡘⢄⡋⢬⠘⡰⠤⣁⠚⡌⡒⠬⣁⢺⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⢌⠣⣐⢉⠆⢣⢡⠃⡍⢢⡑⠩⠜⢢⡐⣉⠆⠥⣃⢚⣰⡇⠀⠀⠈⠳⣕⡣⢏⡜⣣⠝⣎⠵⣊⠾⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣷⠉⠦⡑⢊⡔⡡⠱⡘⠤⢃⡜⢄⡋⠴⡑⡌⠲⢡⠜⡡⢢⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⣢⢁⠎⡌⡃⠦⢩⠔⡃⢬⢑⢊⡅⠦⣁⢎⠱⡄⠣⠜⣿⡀⠀⠀⠀⠀⠉⠛⠚⠥⠿⠜⠋⠁⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠏⡜⠱⣈⠥⢂⠥⡃⢥⡙⢤⡘⢆⡸⢁⠖⡩⢑⡊⣔⣱⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢷⣼⣠⢃⠣⢃⡜⡘⠤⢊⡒⢌⡒⢡⠎⡒⢌⠣⣩⣾⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⣿⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣧⡌⣑⠢⢌⢃⡚⢌⡒⢌⠆⡜⠢⠔⣉⠦⣁⣧⣶⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣶⣥⣆⡩⠜⡡⢊⠆⡩⢆⣜⣬⣶⠿⠋⠁⠘⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⠀⠀⢀⣀⣤⠶⡛⠍⡔⣿⢢⠉⡝⠷⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠙⠻⢷⣮⣌⣒⡘⢢⠘⡌⠲⢌⣱⣭⣴⡾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⠿⠿⠾⠿⠛⠋⠉⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢹⡆⠱⣈⠒⠤⣿⢂⠱⣈⠒⡄⣿⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⠿⠿⠟⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠃⠤⣉⠒⣿⡌⠒⡄⢣⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣎⠱⣀⠣⠡⢌⠱⡈⠆⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠄⢣⠑⡌⢢⠑⣺⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣜⣄⣣⣘⣤⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠙⠷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⠛⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠙⠛⠶⢦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠶⠟⠋⠁⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⠶⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠳⠶⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⢀⢀⣀⣀⣀⣤⣤⡴⠶⠾⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠙⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⡶⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣿⣾⠃⠀⢱⡄⠀⠉⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⣱⡟⠁⠀⣼⠟⠙⠛⠶⣦⣼⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⢴⡟⠓⢢⡾⠃⠀⠀⠀⠀⠀⠉⠛⢾⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢡⡟⠀⢀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣶⣾⡟⣯⢻⡟⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⡿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡻⣜⢧⣏⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢿⡹⢶⡹⢧⡻⡽⣿⣿⣿⣿⣿⣿⣷⡹⣞⡼⣣⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢿⡹⢮⣝⡳⣏⢷⣹⢳⣧⣛⢿⣿⣿⣿⣿⡵⣫⢞⡵⣫⣽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣏⢾⣹⣳⢮⣽⡞⡽⣎⢷⣛⣯⣾⡹⣿⣿⣿⡷⣝⣮⢳⡳⣎⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⢮⡳⢧⠿⣿⣿⣿⣵⣻⣧⣻⢼⣹⣿⢿⣛⡿⣟⡿⣾⢷⣿⣼⣯⣟⣷⣀⠀⠀⠀⠀⠀⣠⡿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢷⣏⣯⢻⣜⣻⣿⣿⣷⣽⣛⡿⣿⣯⣿⢎⣷⣹⣞⣵⡿⠾⢿⡉⢉⣿⡟⣶⣦⣤⣤⡶⢿⣹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⣾⢿⣿⣿⣿⠻⡿⣿⡹⣭⢿⣿⣾⣿⡟⣦⣽⡼⠟⢡⣾⡟⣼⢳⣎⠷⣭⣛⢧⣳⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣾⠳⠾⠗⠃⢳⣟⡼⣣⢟⣿⣷⣾⣿⣤⣴⡾⣟⢧⡻⣜⡳⣎⡟⡶⣭⡷⣋⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠁⠀⠀⠀⠀⠀⢿⣺⡝⣮⢻⣿⡿⠻⣿⣜⡳⡽⣎⢷⣭⢳⡝⡾⣝⢿⡻⣝⢯⡻⣝⢿⡻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⣠⣼⣷⢻⣜⣧⢻⣇⡴⠋⠛⢷⣽⣎⡷⣎⠿⣜⣳⠽⣎⢷⡹⢮⣳⡝⣮⢳⢧⣛⢿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣶⣾⣿⣟⡻⣏⣿⡟⣟⡻⣟⣿⣶⣦⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠋⠉⢡⡾⢧⡻⣜⢮⣿⠯⠤⣤⡀⠀⠈⠻⣷⣏⠿⣜⢧⡟⣮⢯⣝⡳⢧⡻⣜⢫⠶⣩⢎⡽⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣭⢿⡿⣾⢿⡻⣟⠿⣿⡿⠛⠉⠀⠀⣠⣤⣤⣄⠙⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣝⣳⡿⣭⣿⣁⣠⡄⠀⠉⠳⣦⡀⠈⠻⣟⣮⢳⡝⣮⢳⠮⣝⡣⢗⡭⢣⠛⡤⢣⠜⣩⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⣟⣿⢯⡻⣜⢧⣻⡟⣮⢳⣭⡿⠉⠀⠀⠀⠀⣰⢿⠈⡙⣿⣳⡄⠈⠉⠛⠒⠶⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣏⣞⣿⣵⡾⠟⠋⠀⠀⠀⠀⠘⣧⡄⠀⢻⣯⡳⠽⣌⢧⠛⡴⡙⢎⡔⢣⠹⣔⣃⠞⡠⢉⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠛⠛⠛⠛⠺⠷⠿⠿⣼⣷⣺⡷⠃⠀⠀⠀⠀⢯⣻⡄⠛⠉⣿⣷⠀⠀⠀⠀⠈⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣦⣤⡀⠀⣸⢷⣮⣟⣆⣇⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠹⣯⡓⡜⣌⠣⣑⠉⢆⠘⡄⠃⠌⡉⠛⣷⡄⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⣀⠀⠘⢯⣻⢶⡛⣏⡟⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⣡⣿⡷⣛⣿⣆⡏⠀⠉⠉⠉⢹⡄⠀⣀⣀⣀⡀⠀⠀⠀⢽⡀⠀⢻⣷⠈⡄⠣⠄⡉⠄⠂⠠⠁⠂⠀⠀⠀⢻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢓⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⢉⣀⣀⣀⣀⣠⢞⡟⠀⠀⠀⠉⠉⠓⠋⠀⠀⠀⣀⣤⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡾⢋⣠⣿⣳⢎⣿⠓⢶⡤⠖⠒⠒⠛⠒⠷⠦⠤⠍⠑⠄⠀⠈⣷⠀⠀⢻⡆⢈⠐⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⣏⠼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣞⠛⡩⢍⢩⢉⠬⡑⢂⣾⠃⠀⠀⠀⠀⠀⠀⣠⠖⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣧⣾⣿⣿⣷⣯⡇⢠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⣺⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⡩⢞⡹⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⣱⣈⣆⣉⣦⣵⠟⠁⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⣟⣯⣿⣻⣿⣅⣺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣭⢎⡭⢻⢦⣄⢀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣄⣤⣠⣬⣭⣉⡽⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⢯⣿⣟⣯⣷⡿⣯⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠶⣞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣝⡻⣌⠶⣩⡾⠛⠉⠀⠀⠀⠀⡴⣋⠶⣩⠖⡭⣒⠳⣜⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣻⡷⣿⣿⡷⣿⣻⣷⡿⣿⣦⣄⠀⠀⠀⣀⣠⣄⣀⣠⣤⣤⣶⣿⣿⣿⣷⣦⣤⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡿⡟⡴⣙⢶⣁⠀⠀⠀⠀⠀⠈⢷⣡⣓⢦⣛⡴⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⢯⣷⣿⣻⣿⣟⣿⣽⣿⣿⢿⣿⣿⣿⣿⣿⣿⢿⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠾⠗⠿⠾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣻⣟⣾⣟⣿⣯⣿⣞⣿⡿⣯⡿⣿⣿⣾⢷⣻⡿⣾⣟⣿⣽⣻⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⢀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣳⣿⢯⣿⣾⣿⣟⣾⣯⢿⣿⢿⣽⡿⣽⣿⣿⢯⣿⢷⣿⣾⡿⣟⣷⣿⣟⡿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⡀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⣽⣯⣿⢷⣻⣿⣿⣳⣿⣻⣿⣯⣷⡿⣿⣽⣿⣿⣯⣿⣟⣯⣿⣻⣽⣿⡽⣿⣽⣿⡹⢿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢾⡇⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠙⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣟⣯⣷⣿⣻⢿⣿⣷⢿⣳⣿⣿⣷⣻⣽⡿⣾⣻⣿⣿⣳⡿⣽⣾⣿⣟⣷⣿⣻⡿⢧⣛⢧⣻⣷⣄⡀⠀⠀⠀⠀⢀⣠⠖⠋⡼⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀⠀⠀⠀⢻⠀⠀⢈⣻⣿⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⣾⣟⣷⣟⡿⣿⣟⣯⣿⣟⣷⣿⡿⣽⣷⢿⣻⣽⣟⣿⣿⣽⢿⣻⣷⣻⣽⣾⢿⡹⢧⣏⢷⣣⢟⣿⣁⣀⡤⠴⠞⠉⠀⢀⣼⡤⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠆⠀⠀⠀⠀⠀⠀⣠⡯⠤⠤⠤⠤⠤⠤⣤⡤⠤⠤⢤⣽⠀⠀⠀⠀⢸⡟⠉⢹⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣻⣽⣾⣟⣾⣿⣻⣿⣿⣳⣿⣻⣾⣿⢿⣾⢿⣻⣽⣾⢿⣿⣿⡿⠿⠟⠋⣿⣝⢮⣝⡳⢮⣳⡝⣞⣻⠿⣶⣤⣤⣤⣀⡀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⣰⠋⢻⠀⠀⣀⡤⣄⣰⠋⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⣧⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⢯⣿⣽⣾⣻⣽⣾⢿⣿⡷⣿⣳⣿⣻⣿⡿⣽⣿⣻⣽⣾⣟⣿⣇⡀⠀⠀⠀⠈⠛⢻⡯⣝⢧⣳⡽⣎⢷⣫⢷⡹⣎⢷⣛⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⢠⠞⠁⠀⡾⠀⢸⡣⣝⡞⠁⠀⠀⠀⠀⠀⠀⣷⠀⢀⣠⣄⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⣿⣿⣿⣿⣻⣾⢯⣿⣽⣾⣿⣿⣟⣿⣽⣷⣿⣿⣿⣿⣾⣿⣽⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠘⢿⣻⣾⠿⣷⣹⣞⣿⠳⠿⠾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢸⠀⠀⢰⡃⠀⠈⠓⠿⣆⠀⠀⠀⠀⠀⠀⠀⢸⡞⣭⠲⣌⣿⡄⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⢀⢸⣧⣄⠀⢷⡀⠀⠀⡀⠙⣦⡀⠀⠀⠀⠀⠀⠸⣟⠴⣋⠶⣸⣧⣀⣀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠟⠋⠙⠛⠚⠋⢈⣿⢿⣽⣛⠿⡼⣭⣛⣾⠟⠛⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⣰⢿⡻⢿⣯⣿⡆⠈⢳⣴⣿⡻⢿⣟⣿⣆⠀⠀⠀⠀⠀⢻⣷⢿⣾⣿⢿⣟⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠞⠉⠀⠀⢻⣯⡻⣵⣳⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠷⠿⠷⠿⠿⠟⠀⠀⠉⠛⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠻⣿⣶⣿⣿⡿⠾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣤⣤⣤⣤⣼⣷⣿⣶⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⡾⠿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⠿⠿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⠿⠛⠉⠀⠀⠀⣀⣙⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣍⣀⠀⠀⠀⠈⠙⠻⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠿⠋⠁⠀⢀⣠⣴⠾⠛⠉⠁⠀⠈⠻⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠉⠉⠛⠷⣦⣄⡀⠀⠀⠙⠻⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠛⠁⠀⠀⣠⣶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⣄⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠋⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠙⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠻⢶⣤⣀⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⡶⠿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠷⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣧⠀⣠⣴⠿⠻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠙⠿⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠟⠋⠉⠀⠀⠀⠘⢿⣆⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⢠⣿⠏⠀⠀⠀⠈⠉⠛⢷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⡿⠋⠁⠀⠀⠹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠘⠻⣦⡀⠀⠀⠀⠀⠀⣠⣾⠟⠉⠀⠀⠀⠀⠀⢀⣀⣤⣼⣿⠿⠿⠟⠛⠛⠛⠋⠉⠉⠉⠉⠉⠙⠛⠛⠛⠿⠿⢷⣿⣯⣄⣀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣦⡀⠀⠀⠀⠀⠀⢀⣴⠟⠋⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡆⠀⠀⠀⠀⠀⠀⢠⣿⣿⣦⠀⠀⣠⡾⠋⠁⠀⠀⢀⣠⣴⡶⠟⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⠷⣶⣄⡀⠀⠀⠀⠀⠙⢿⣦⡀⠀⢀⣴⣿⣿⡀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀⠀⢠⣿⠏⠈⢻⣷⣾⠋⠀⠀⢀⣤⡾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢷⣦⡀⠀⠀⠀⠙⢿⣤⣿⠟⠉⢿⣷⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⠀⢀⣿⡏⠀⠀⠀⠹⣿⣄⣠⣾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⡀⠀⣼⡿⠋⠀⠀⠈⢿⣧⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡆⠀⠀⣼⡟⠀⠀⠀⠀⣠⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣾⣟⠁⠀⠀⠀⠀⠸⣿⡆⠀⠀⢰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⢠⣿⠁⠀⠀⣠⣾⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⢻⣷⠀⣠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣼⡿⠀⢀⣼⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣁⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣆⠀⠀⠀⢸⣿⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡇⢀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⡿⠿⠟⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣿⣿⣿⣷⣶⣤⡀⠀⠀⠀⢶⡈⣿⣿⣿⣿⣿⣿⣧⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠉⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡉⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠸⣷⣿⣿⣿⣿⣿⣿⣿⣆⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡷⠂⠀⠀⠀⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣦⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠹⣷⡄⠀⠀⠀⠀⠀⠀⠀⢹⣇⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠈⢿⣷⣦⣀⡀⠀⢀⣴⣿⣿⡟⢻⣯⣝⠻⢿⣦⠀⠀⠀⠀⠀⠀⠀⢿⡆⠘⢿⣦⠀⠀⠀⠀⠀⣤⣾⣿⣿⡛⠛⠿⣿⣶⣄⠀⠀⠀⠀⣠⣽⣿⣿⣿⣿⣿⡿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣦⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⡿⠋⢸⣷⡀⠙⠿⣦⣄⡻⣷⡀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠻⣿⣦⡀⢠⣾⠟⠁⢹⣿⠻⢶⣤⣈⠻⣿⣷⣶⣾⣿⣿⠟⠉⢿⣿⣿⣿⠇⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠛⢿⣦⣤⣶⣦⣤⣀⣈⣻⣿⡿⠁⠀⠀⢹⣧⣴⡾⠟⠛⠿⣿⣷⣀⠀⠀⠀⠀⠀⠘⢿⣦⠀⠀⠙⢻⣿⣿⣿⠻⠿⣿⣷⣄⠉⠙⠻⢿⣿⣿⣿⣋⣀⢀⣠⣤⠉⣻⣿⣦⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢀⣾⠟⣿⣄⠀⠀⠀⠈⣿⡟⠿⣶⣦⣤⣀⣀⠀⠻⣷⣄⡀⣼⡟⠉⠛⠿⣶⣬⣝⣿⣿⣶⣤⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡁⠀⠀⠀⢿⣿⣿⢻⣿⡿⣿⣿⠷⠶⠶⣾⣯⣤⣬⣿⣷⣦⣤⣤⣿⡇⠀⠀⠀⠉⠉⠛⠛⠛⠿⠿⠿⣿⠇⠀⠀⠀⠀⠈⠉⠙⣿⡏⠉⠉⠛⣿⡿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⢀⣠⣾⠟⠁⢸⣿⡇⣿⣿⠀⠀⠀⣿⠀⠀⣤⣤⣤⣴⣶⣶⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣤⣤⣤⣤⣤⣀⡀⠀⢸⣇⠀⠀⢠⣿⡇⣿⣿⡇⠹⣷⣤⡄⠀⠀⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣠⣴⡿⠋⠀⠀⠀⢸⣿⣇⢻⣿⡀⠀⠀⣿⡄⠀⠻⠟⠛⠛⠛⠛⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠛⠛⠿⠿⠿⠿⠇⠀⣸⡇⠀⠀⢸⣿⡇⣿⣿⡇⠀⠈⠛⢿⣦⣤⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⡿⠟⠁⠀⠀⠀⠀⠀⢸⣿⣿⠘⠿⢷⣦⣤⣜⣿⣤⣀⣠⣤⣤⣶⠶⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠷⣦⣤⣄⣀⣀⣀⣴⡿⣁⣀⣤⣾⡿⠀⣿⣿⡇⠀⠀⠀⠀⠉⠻⣷⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⣿⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⠀⠈⠉⠉⠛⠛⠛⠛⠛⠉⠉⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⣠⣾⡗⣠⣿⡇⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣤⣀⣀⠀⠀⢀⣀⣤⡾⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⣿⡆⠀⣤⡀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣭⣤⣤⣤⣤⣤⣴⣶⡶⢿⣿⣫⣶⡿⣿⡇⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⢿⡾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⣿⣿⣶⡟⣿⣶⣤⣀⣀⡀⠀⠀⠀⠀⠙⢿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⠿⠛⠋⠉⣡⡾⠛⠁⠀⠀⠀⠀⠀⠈⠛⠋⠁⠀⣿⡇⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⣿⡇⠙⠿⣿⡟⠉⠛⠛⠛⠛⠻⢿⣿⡿⠶⣾⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⡿⠁⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⡃⠀⢀⣿⡇⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⣿⡇⠀⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡀⠀⠉⠛⢿⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⣄⠀⠀⠀⠈⠻⣦⣀⣀⠀⣀⣠⣴⠿⠋⠙⠛⣾⣿⣿⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⡿⠛⢹⣿⠙⠻⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠏⠀⠀⠀⣿⣷⣤⣤⣾⠿⣦⣄⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⢿⣷⣄⡀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⢀⣠⣾⠿⣿⡟⠀⠀⠀⠀⠀⠈⠻⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠘⠋⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠋⠁⠀⠀⠀⠀⢻⣿⣿⣍⠀⠀⠈⠛⠷⣦⣤⣤⣤⣶⠿⠋⠀⠀⠀⠀⣠⣿⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣷⣶⣦⣤⣤⣤⣤⣴⡶⠾⠟⠋⠁⣰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣷⣤⣀⠀⠀⠀⠀⠀⠀⢹⣷⣄⣀⣀⣀⣼⡿⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠘⣿⡌⠻⢿⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⡿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣿⡏⠀⠀⠀⠀⠀⠀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠿⣶⣦⣄⣀⠀⠀⠉⠛⠛⠛⠛⠉⠁⠀⢀⣀⣤⣴⣾⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⡀⠀⠈⠉⠛⠻⠿⠶⣶⣶⣶⣾⠿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠉⠙⣿⣿⣿⣶⣦⣴⣤⣴⣶⣿⣿⡟⠛⠉⠁⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣄⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀⠀⠀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⣀⣤⣴⣿⡇⠀⠉⠉⠉⠉⠉⠁⠀⢹⣧⣄⣀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⡀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠏⠀⠀⠀⢀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⣿⡿⠋⠻⣿⣇⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠛⢻⣷⡿⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⡄⠀⠀⠀⠀⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⣿⣿⣿⣄⡀⠀⠀⠀⠀⢀⣠⣾⡿⠋⠀⠀⠀⢀⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⣼⡟⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⢹⣷⡘⢿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⠀⠈⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼ ⠸⣿⡝⠻⠿⣷⣶⣶⡿⠿⠟⠋⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⠋⣼⡟⠀⣀⣠⣤⣀⣀⡈⠻⣷⣄⣴⡿⠋⣀⡀⣀⣀⡀⠀⢻⣧⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡄⠀⠀⠀⠈⠻⣿⣤⣀⠀⠀⠀⠀⠀⠀⣠⣾⣿ ⠀⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⣡⣤⣾⣿⣶⠿⠛⠉⠙⣿⡝⠻⣷⣼⣿⣿⣴⡿⢛⣿⡟⠛⠻⢷⣦⣿⣇⣀⠀⠙⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠈⠛⠿⢿⣷⣶⣶⣶⡿⠿⢻⣿ ⠀⠀⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⣾⠟⠉⠙⣿⣆⣤⣴⡄⠀⠸⣿⡀⢻⣯⠀⣹⡿⠀⣼⡏⠀⢀⣤⣀⢉⣿⡿⠛⢿⣦⡈⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿ ⠀⠀⠀⠙⠻⢿⣶⣦⣤⣤⣤⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⢿⣧⡀⠀⠈⣿⡏⢹⣷⠀⠀⢿⡇⠘⣿⠀⣿⠃⢰⡿⠀⠀⣼⡟⢻⣿⠏⠀⠀⢠⣿⣧⣄⣹⣿⡀⠀⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡟⠀ ⠀⠀⠀⠀⢀⣴⣾⡿⠛⠉⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⣿⣷⡀⠀⠀⠀⠀⠀⠀⣿⠋⠀⢿⣿⠻⣷⣄⠀⠘⣿⡌⣿⣆⠀⢸⣿⠀⣿⠀⣿⠀⣾⡇⠀⢠⣿⢁⣾⡏⠀⠀⣴⣿⣯⣿⠟⠻⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣶⣿⠟⠋⠀⠀ ⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡀⠀⣿⣿⣷⣄⠀⠀⠀⢠⣾⣿⣧⠀⠀⣿⡇⠙⢿⣦⠀⢹⣷⠘⢿⣦⣸⣿⣴⣿⢰⣿⣤⣿⣃⣴⣿⠏⣼⡟⠀⢠⣾⠟⢡⣿⠃⠀⣿⣿⣿⣿⣿⣿⣇⠀⢛⣿⣿⡿⠿⠿⢿⣿⠟⠃⠀⠀⣀⣀⣀⣉⠻⣿⣿⣭⡀⠀⠀⠀⠀ ⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣤⣸⣿⡏⠻⢷⣶⣤⣿⠋⠈⢿⣧⡀⠸⣿⠀⠈⠻⣷⣤⣿⡇⠀⠉⠛⠉⠉⠁⠀⠉⠛⠛⠛⠋⠁⢸⣿⣄⣴⡿⠋⠀⣾⡏⠀⢠⣿⣿⣿⣿⣿⣿⣝⣷⣿⣿⣿⢷⣾⣿⣿⡟⣿⠾⣿⢻⣿⣿⢫⡿⠀⣿⡟⢿⣿⣦⡀⠀⠀ ⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⣿⠃⠀⠀⠀⢈⣿⠇⠀⠀⠀⠻⣷⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⣿⢀⣴⣿⣿⡇⢿⣿⣿⣿⢟⣿⣏⢿⣿⣾⣿⣿⣿⣇⣿⣾⣿⣸⡿⢳⣿⣷⠆⣿⡇⠀⠘⢿⣿⣄⠀ ⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠁⠀⠀⠀⢀⣾⡏⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⡟⠁⣿⡷⠶⢿⣿⡿⠿⠯⠉⠀⣻⣿⣾⡯⠭⠉⠉⠩⠭⠽⠿⠿⠿⠿⣤⢻⠇⠀⠀⠀⠙⢿⣷

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⢻⣛⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡞⣶⠋⠈⠙⠻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣶⡟⠛⠢⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠈⠙⢿⣿⡆⠀⠘⡆⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⢤⣦⣠⡘⢢⡽⠧⢤⣄⣙⣆⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠲⢤⢿⣿⣾⠛⢧⣰⢖⠩⣧⠏⠉⠈⢁⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠉⠁⣧⠀⢻⣿⣉⠁⠀⠀⠀⠚⠒⠒⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣶⣒⣟⣒⡲⠦⣤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⢚⠏⡀⡰⠿⢌⡑⢦⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣏⣉⣸⡀⣰⠉⠀⣼⣯⢷⡍⠒⢲⡆⠀⠀⠀⠀⠀⣀⣀⠸⣄⢷⡟⠃⠀⠙⣆⢳⠀⠀⠀⠀⠀⠤⣀⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⣏⠀⠀⠀⠀⠀⠀⠀⣀⢜⣃⣀⣴⠘⠷⠯⠃⣀⡸⠁⠀⠀⠀⠀⣼⢿⡌⢻⣍⡭⠥⠤⣠⠄⠘⡄⢳⠀⠀⠀⠀⠀⠈⣇⠀⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⣄⠀⠀⠀⠀⠀⠸⣍⣉⣁⡤⠃⠀⠀⡰⠉⠉⠀⠀⠀⠀⠀⢠⠛⠋⠱⣇⡏⠀⠀⠀⠀⠀⠀⢱⠈⡆⠀⠀⠀⠀⠀⠈⠉⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣟⡂⠈⠗⠚⠛⡟⠛⠛⢛⡿⠃⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⡎⠀⢠⠀⢀⢷⣄⣀⣠⣀⣤⣴⣷⣤⡇⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⠵⠾⠂⠀⠀⠑⠒⠈⠁⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⢸⠀⢸⠈⢳⡄⠀⠀⣨⢿⠿⣿⠇⠀⠀⠀⠀⠀⢠⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⡀⠘⠀⠀⠹⡴⠊⢁⠞⠀⡞⠳⣄⠀⠀⠀⣠⡾⠀⡜⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⣠⣀⣀⣀⣀⣀⡆⠀⢱⢬⡿⠋⠀⠀⠀⠀⢸⠁⠀⠀⠸⠁⠀⡄⠀⠀⠹⣄⣋⣴⠊⠀⠀⠸⢥⣖⣊⠵⠗⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⡴⢻⢠⢲⠞⠁⠀⢱⢀⣸⡄⡇⠀⠀⠀⠀⣤⣧⡀⠀⠀⣀⠀⢀⣧⣄⣀⣠⣿⡄⠈⠹⣀⣰⡀⣤⣤⠽⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⣀⣇⢻⡈⣙⣆⠀⠀⢸⡁⠈⣇⣹⠀⠀⠀⠀⠈⠓⠛⠿⠿⠯⢽⡿⡛⠟⢓⡿⠟⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠭⠿⠇⠙⠛⠛⠃⠀⠀⠻⣽⠿⠽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠯⠤⠼⠤⠎⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣏⠉⠉⠛⠒⠶⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠴⠖⠚⠋⠉⣉⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣦⡀⠀⠀⡤⠚⠉⠛⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠋⠙⠢⡄⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⡞⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⠘⣄⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⣠⠖⠊⠉⠉⠙⢦⡀⠀⠀⠀⠀⣠⠞⠉⠉⠉⠒⢤⡀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⢀⠞⠀⠀⠀⠀⠀⢀⣈⠷⠶⠒⠲⠼⢇⣀⠀⠀⠀⠀⠀⠙⢆⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡎⠀⠀⢀⡤⠔⠊⠉⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠤⣀⠀⠀⠈⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣠⢞⠭⠀⠠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⣠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠱⣵⠚⠳⣄⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⢳⡄⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠋⢧⣷⠃⠀⠀⢸⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⢻⠀⠏⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠶⠚⠉⠀⠀⠀⢸⢸⠰⠶⠶⠾⡇⢸⠀⠀⠀⣆⠀⠀⠀⠀⠀⢸⠶⠶⠶⠘⣴⠀⠀⠀⠈⠙⠲⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠛⠛⠓⠓⠒⠒⠠⠤⢤⣿⢸⣄⠀⠀⢀⠇⢸⠀⢀⡀⠀⠀⡀⠀⠀⠀⢸⡀⠀⢀⣰⠇⡧⠤⠄⠒⠒⠚⠛⠛⠛⠳⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⢆⡈⠉⠉⢉⣴⠃⠀⠀⠉⠓⠋⠀⠀⠀⠰⡀⠉⠉⠉⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⡀⠀⠀⠀⠀⠀⠀⣸⣆⠀⠈⠁⠈⠁⢻⠀⠀⠀⣠⢶⢦⡀⠀⠀⠀⠇⠀⠀⠀⠀⢀⣮⡀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⠦⠴⠚⠋⠁⠘⢷⡀⠀⠀⠀⠀⠁⠒⡏⠁⢸⠀⠉⡷⠂⠀⠀⠀⠀⢀⣴⠏⠀⠉⠛⠲⠤⠶⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⢧⠀⠈⠀⢠⠃⠀⠀⠀⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡦⣄⡀⠀⠈⠳⠤⠴⠋⠀⠀⣀⡤⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠈⠙⠒⠶⠤⠤⠤⠴⠖⠚⠉⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣹⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠒⠶⠤⠤⠤⠤⠤⠤⠶⠶⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠴⠚⠛⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠛⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠉⠀⡠⠔⠂⠉⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠉⠑⠢⢄⡀⠈⠛⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠙⢳⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡞⠉⠲⣤⠋⠀⠀⠀⠀⠀⠀⢀⡠⠴⠒⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠛⠒⠦⢄⡀⠀⠀⠀⠀⠀⠀⠈⢦⡴⠊⠹⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠈⠳⣄⠀⠀⢀⡠⠚⠁⠀⠀⣀⡠⠼⠖⠒⠛⠛⠛⠛⠛⠛⠛⠓⠒⠾⢥⣀⡀⠀⠀⠈⠳⣄⠀⠀⠀⣠⠞⠁⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⡼⠛⢷⡰⠋⠀⣀⠴⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠦⣄⠀⠀⠱⣄⡼⠛⣧⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⣰⠃⠀⠈⣳⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣦⣠⠞⠀⠀⠸⡆⠀⠀⣾⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⡟⠀⢠⡾⠉⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⡀⠀⠀⢿⢀⡼⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡇⣰⠋⠀⠀⠀⠀⠀⠀⣠⣼⠶⠖⠆⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⢸⣤⣤⣤⣄⡀⠀⢀⢸⣿⣿⣿⡆⠀⢸⡾⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣀⠀⠀⠀⠈⠁⠸⡀⠀⠀⠀⠀⠀⠀⠐⡘⡄⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠘⢷⣤⣀⣀⣴⢿⠻⣍⠓⢦⠀⠀⠀⠀⢧⠙⢦⡀⠀⢀⡼⢿⣉⠓⢶⣄⠀⣀⣬⢿⣿⣿⡏⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠢⣄⢠⣀⣙⣻⡟⠁⠈⣆⠬⠗⠾⣧⡀⠀⠀⠈⢧⡀⠙⢦⣿⡤⠼⣮⡙⠢⠿⣿⣟⣁⣀⢙⣻⣥⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠸⣿⣾⣿⣿⢅⣀⣰⣉⣣⣀⡀⣸⠉⠑⠲⠦⠤⢵⣦⣾⠀⠉⠒⠾⢿⠶⠦⣿⣿⢿⣿⡟⠉⠁⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⢀⡴⠋⢸⣿⣿⡀⠀⡇⠀⣤⣤⣤⡜⠀⠀⠀⠀⠀⠀⠀⡯⣤⣤⣤⡄⢸⡆⠀⣿⢸⣼⠙⢦⡀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠞⠉⠀⠀⢸⣿⠸⠧⣀⣹⣄⣀⣀⠤⠼⠀⠀⠀⠀⠀⠀⠀⡧⢄⣀⣉⣀⡼⣁⣠⠿⢸⡿⠀⠀⠉⠳⣄⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠞⠋⠀⠀⠀⢀⡄⢸⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⡀⠀⠀⠀⢀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⡸⣇⠀⡀⠀⠀⠈⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣴⠿⠥⡶⠶⠶⠶⠒⣯⠴⢻⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡟⢦⣹⡦⢄⣀⣀⣀⣈⣳⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⣾⠋⠀⠀⡎⠀⠀⠀⠀⣠⡆⠀⣸⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⣇⠀⢉⡁⠀⠀⠀⠈⠛⡍⠉⠛⢶⡄⠀⠀ ⠀⠀⠀⠹⣦⣀⠀⠙⠢⠤⠴⠚⠁⣈⡽⡟⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⢻⠁⠼⠈⢹⠃⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⢻⣖⠚⠙⠦⣄⣀⣀⡠⠃⠀⠀⢠⡇⠀⠀ ⠀⠀⠀⠀⠈⠉⠓⠶⠤⡤⠔⠒⠊⠉⣰⠃⠀⠀⠀⠀⠈⠙⠦⣄⡀⠀⠀⠸⢦⣤⡤⠏⠀⠀⢀⣀⡤⠞⠉⠀⠀⠀⠀⠸⡌⠓⠦⣤⣀⣀⢀⣀⣠⣤⠾⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⡧⠉⠛⡶⠤⢤⣤⡤⠤⡶⠛⠉⢹⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠈⡏⠉⠀⠀⠀⠀⠀⠀⠀ ⣦⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢧⡴⠺⣇⠀⠀⠀⠀⠀⣷⠶⣄⣼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀ ⢻⢷⣤⣀⣀⣠⡴⠋⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⡞⠀⠀⠈⠳⣄⠀⣠⠞⠁⠀⠘⣎⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠈⢧⡀⠀⠀⠀⠀⠀⣰ ⠘⣧⠀⠉⠉⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⢠⢞⣡⣼⠵⠚⠙⣖⠲⣬⢿⡱⢒⡖⠒⠦⣼⣄⡈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠙⠲⠶⠤⠶⠞⣹ ⠀⠈⠳⣤⣀⣀⡀⠀⠀⢸⠁⠀⢸⠀⠀⠀⠀⠀⣀⣧⢯⡀⠘⣖⢺⡀⢸⡄⢳⢰⠃⡼⠀⣰⢦⡜⠁⢙⣆⡙⣆⠀⠀⠀⠀⠀⡀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⣴⠏ ⠀⠀⣠⡶⠋⠁⠀⠀⠀⠈⣇⠀⢸⣧⠀⠀⠀⣠⡇⠘⣏⠳⡄⠸⡆⢧⡀⡇⣸⢸⢠⡇⢠⠏⡜⠁⣠⠟⡞⢉⣿⣀⠀⠀⠀⣸⣇⣀⣸⠁⠀⠀⠀⠴⣶⡶⠛⠁⠀ ⢠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠘⢶⣌⡟⠓⢤⣴⠋⠻⡄⢸⠀⠙⠦⠽⠈⠙⠛⠋⠈⠛⠓⠋⢸⣥⡼⠃⣼⠁⣸⡟⣯⢻⣵⣶⣿⢣⣦⡟⡖⡖⣦⢆⠖⢸⠙⢦⡀⠀ ⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⢰⠇⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡜⢹⡇⠻⣿⠔⠃⠻⣟⡓⠓⠛⠓⠛⠺⢟⠸⠀⠀⠻⣆

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⠿⠛⢿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⡿⠟⠛⠿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⡿⠟⠋⠁⠀⠀⠀⠀⢀⣙⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣟⣁⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠿⠛⠁⠀⠀⠀⢀⣠⣤⣶⠿⠛⠛⠉⠉⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠋⠉⠙⠛⠻⠿⣶⣤⣀⠀⠀⠀⠀⠈⠛⢿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠛⠁⠀⠀⠀⢀⣤⣾⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣶⣄⠀⠀⠀⠀⠈⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⣠⣾⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣦⡀⠀⠀⠀⠀⠙⢿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡟⠁⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣦⡀⠀⠀⠀⠀⠙⢿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⢻⣷⣤⡀⠀⢀⣼⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣽⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣯⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣆⠀⠀⢀⣠⣶⡿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠁⠀⠈⠛⢿⣷⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⠿⠟⠛⠉⠉⠙⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⠋⠉⠉⠛⠻⢿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⣾⡿⠛⠉⠀⠘⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⠀⠀⠀⠀⠙⢻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡄⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣄⣀⣀⠀⣰⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠉⠀⠀⠀⠀⠀⠸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣾⣿⡿⠿⠿⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠛⠿⠿⢿⣿⣿⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣷⡄⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⢀⣠⣴⣶⡿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⣷⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⢀⣴⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠛⢿⣿⣦⣠⣾⡿⠉⠀⠀⠀⢀⣠⣴⣾⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣦⣄⡀⠀⠀⠀⠀⠀⠙⢿⣦⡀⣠⣿⣿⠛⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⡀⠀⠀⠀⠀⠀⢀⣾⣿⠁⠀⠀⠻⣿⣿⡋⠀⠀⠀⣠⣶⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣶⣄⠀⠀⠀⠀⠀⢹⣿⣿⡟⠁⠀⠘⣿⣿⡄⠀⠀⠀⠀⠀⠀⢠⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣧⠀⠀⠀⠀⠀⣾⣿⠃⠀⠀⠀⠀⠙⣿⣷⣀⣴⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣦⡀⠀⢀⣾⣿⠋⠀⠀⠀⠀⠸⣿⣷⠀⠀⠀⠀⠀⢀⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣆⠀⠀⠀⣸⣿⡇⠀⠀⠀⠀⠀⣀⣼⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣶⣿⡿⠃⠀⠀⠀⠀⠀⠀⢹⣿⡇⠀⠀⠀⠀⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣆⠀⢀⣿⡿⠀⠀⠀⠀⢀⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠀⢀⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣆⢸⣿⡇⠀⠀⢀⣴⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⢸⣿⡇⢀⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⠁⠀⢠⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠘⣿⣧⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⠀⢰⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⡿⠿⠟⠿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣾⣿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⣶⠀⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⠛⢻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠋⠉⠀⠀⠈⠉⠙⠛⠿⠀⠀⠀⠀⠀⢻⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠁⠀⠀⠀⠀⢾⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣷⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠈⢿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣀⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀⠙⣿⣿⣶⣄⣀⠀⠀⠀⢠⣶⣿⣿⣿⠛⢿⣿⣭⡙⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠹⣿⣦⡀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣟⠉⠛⠻⢿⣿⣷⣦⡀⠀⠀⠀⠀⠀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣆⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣷⣶⣿⣿⠟⠉⣿⣇⠀⠙⢿⣷⣄⡈⠻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡆⠀⠈⢿⣿⣷⣀⠀⠀⣠⣿⡿⠉⢸⣿⡿⣿⣶⣄⡀⠙⢿⣿⣿⣤⣤⣴⣶⣿⣿⣿⠟⠻⣿⣿⣿⣿⣿⡏⠘⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣷⣤⡀⠀⢀⣀⠀⠀⠀⠙⢿⣿⣿⣿⡿⠃⠀⠀⠹⣿⡆⠀⣀⣽⣿⣿⣶⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣆⠀⠀⠙⠻⣿⣦⣴⣿⣿⣤⣤⣤⣽⣿⣆⠉⠛⠿⣷⣦⣽⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠈⠻⣿⣿⣿⡀⢀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠙⢿⣿⣿⣜⣿⣿⣶⣶⣶⣶⣾⣿⣿⠁⠀⠀⠀⠀⣹⣿⣿⠟⠛⠉⠀⠉⠻⢿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠙⢿⣧⡀⠀⠀⠀⢹⣿⣿⣿⣯⣉⠙⠻⢿⣿⣷⣤⡀⠀⠉⠛⠻⣿⣿⣿⣧⣤⣤⣤⣤⣾⣿⣤⣤⣽⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠇⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣼⣿⠟⢿⣷⡀⠀⠀⠀⠀⠈⣿⣿⠛⠿⣿⣶⣤⣤⣀⣀⡀⠈⠻⣿⣦⣄⠀⣾⣿⠁⠈⠙⠻⢿⣶⣤⣽⣿⣿⣿⣷⣦⣄⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠉⠀⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣷⣶⣶⣤⣼⣿⣧⣄⣀⣻⣿⣷⣤⣀⣀⣀⣿⣿⠀⠀⠀⠀⠉⠉⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠉⠉⠛⢿⣿⡛⠛⠛⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡟⠃⠀⠀⠀⠀⣸⣿⡿⠃⣸⣿⣿⣏⣿⣿⡀⠀⠀⠉⣿⡟⠉⠉⠙⠛⠛⠛⣛⣛⣛⣛⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⢸⣿⣿⢨⣿⣿⡏⠻⣿⣧⡀⠀⠀⠀⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀⣀⣴⣿⠟⠋⠀⠀⣿⣿⣿⡇⣿⣿⡇⠀⠀⠀⣿⡇⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣶⣶⣶⣦⠀⠀⢸⡷⠀⠀⠀⢸⣿⣿⢸⣿⣿⡇⠀⠙⠿⣿⣷⣀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢀⣤⣾⡿⠟⠁⠀⠀⠀⠀⣿⣿⣿⡇⣿⣿⡇⠀⠀⠀⢻⣷⡀⠀⠙⠛⠛⠛⠛⠋⠉⠋⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡛⠛⠛⠛⠛⠻⠿⠿⠇⠀⢀⣿⡇⠀⠀⠀⣼⣿⡿⢸⣿⣿⡇⠀⠀⠀⠈⠻⢿⣷⣦⡄⠀⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠸⢿⣿⣶⣤⣀⣈⣿⣷⣄⣀⣀⣀⣠⣤⣤⣶⣶⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣦⣤⣄⣀⡀⠀⠀⠀⣠⣾⡟⠁⠀⣀⣤⣿⣿⠃⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠙⠿⣿⣦⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠉⠛⠛⠛⠛⠿⠿⠿⠟⠛⠛⠋⠉⠀⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠈⠉⠛⠛⠿⠿⢿⣿⣿⣿⡿⠿⠿⠟⠛⠉⠁⠀⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀⣼⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⡿⢀⣼⣿⡿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⣷⣦⣄⣄⠀⠀⢀⣀⣤⣶⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠇⣿⣷⡀⢰⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣟⣡⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⡿⣿⣿⣋⣴⣿⠿⣿⡇⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⣿⣿⣿⣾⠻⣿⣷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⡿⠿⠟⠛⢋⣽⣿⠟⠉⠉⠉⠉⠉⠁⠀⠀⠻⠿⠿⠛⠁⠀⣿⡇⠀⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⣿⡇⠛⢿⣷⣿⣿⡟⠻⠿⠿⢿⣿⣶⣶⣶⣶⣶⣶⣦⣬⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣿⠿⠋⠁⠀⠀⠀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⣿⡇⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⠀⣿⡇⠀⠀⠉⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣍⠉⠛⠛⠿⢿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣟⠀⠀⠀⠀⠀⠀⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣅⠀⣀⣰⣿⡇⠀⠀⠈⢻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡟⠁⠀⠀⣿⡇⠀⠀⠀⢸⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⠀⠀⠀⠀⠈⠛⢿⣿⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣆⠀⠀⠀⠀⠀⠘⢿⣦⣄⡀⠀⠀⠀⣀⣤⣾⡿⠋⠀⠙⠛⢻⣿⣿⣿⠀⠀⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⠟⠋⣸⣿⠈⠙⠻⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⣿⣿⣦⣤⣤⣾⡿⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠈⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⣄⡀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠛⠛⠋⠁⠀⠀⠀⢀⣴⣿⡿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠻⠿⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡿⠋⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡉⠉⠀⠀⠙⠿⣷⣦⣄⣀⣀⣀⣀⣤⣶⡿⠋⠀⠀⠀⠀⠀⢀⣼⣿⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣾⡿⠛⠁⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠻⣿⣦⣄⠀⠀⠀⠀⠉⠛⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⣀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⢿⣿⣿⣿⣶⣿⠿⠿⠟⠛⠛⠉⠁⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣷⣤⣄⡀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣦⣤⣤⣤⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡀⠈⠛⠿⣿⣶⣤⣤⣀⣀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠿⢿⣷⣶⣤⣀⣀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⣀⣠⣤⣶⣾⣿⣿⡏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⡀⠀⠀⠀⠉⠉⠛⠻⠿⠿⢿⣿⣿⣿⣿⠿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣦⠀⠈⠉⠛⣿⣿⣿⣶⣦⣤⣤⣤⣤⣠⣤⣴⣶⣿⣿⡿⠛⠋⠉⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⠀⠀⠀⠀⢀⣼⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠛⠀⠀⠀⣀⣿⣿⠉⠙⠛⠛⠿⠿⠿⠟⠛⠋⠉⢻⣿⡇⠀⠀⠀⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣶⡀⠀⠀⠀⠀⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠏⠀⠀⠀⠀⠀⢠⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣄⣰⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣶⣄⠀⣸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⡄⠀⠀⠀⠀⠀⠀⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠏⠀⠀⠀⠀⠀⣰⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠛⣿⣿⠋⠀⠙⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠟⠋⠙⣿⣿⡿⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣆⠀⠀⠀⠀⠀⠘⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠋⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⢟⣾⡿⠁⠀⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠘⣿⣷⠘⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣆⠀⠀⠀⠀⠀⠘⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼ ⢸⣿⣿⠿⣿⣿⣶⣤⣤⣤⣴⣶⣾⣿⡿⠛⠁⠀⠀⠀⠀⠀⣰⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡿⠋⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠀⣠⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀⠙⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣇⠀⠀⠀⠀⠀⠘⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿ ⠈⢿⣿⡆⠀⠉⠛⠛⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠉⢀⣼⣿⢃⣤⣴⣾⡿⣿⣶⣶⣶⣦⣄⠙⣿⣿⣿⠟⢁⣤⣶⣶⣴⣶⣶⣦⣤⡀⠸⣿⣆⠀⠀⠙⢿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡆⠀⠀⠀⠀⠀⠀⠻⣿⣿⣶⣤⣄⣀⡀⠀⣀⣀⣤⣾⣿⣿⣿ ⠀⠘⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⣡⣶⣶⣿⣿⣿⡿⠟⠉⠀⠀⠈⢿⣿⡈⠹⣿⣾⣿⣿⣿⣶⣿⡟⢉⣿⡿⠋⠈⠉⠻⢿⣷⣿⣿⣤⣀⣀⠀⠹⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠿⣿⣿⡿⠿⠿⠛⠋⣾⣿ ⠀⠀⠘⢿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⣼⣿⠏⠁⠉⢿⣿⣄⣀⣴⣶⡀⠀⠈⣿⣧⠀⢹⣿⡇⠀⢹⣿⠇⠀⣼⣿⠁⠀⢀⣀⣀⠀⢉⣿⣿⠟⠛⢿⣷⣄⠈⢻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡟ ⠀⠀⠀⠀⠙⢿⣿⣷⣤⣄⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠁⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⣷⣿⣿⡄⠀⠀⠀⢻⣿⡟⠛⣿⣧⠀⠀⢸⣿⡆⠀⣿⣧⠀⣿⡟⠀⢸⣿⠇⠀⠀⣸⣿⠿⣿⣿⡿⠁⠀⠀⠀⣿⣿⣀⠀⠹⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠀⠀⠀⠀⠈⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡟⠁ ⠀⠀⠀⠀⠀⠀⠉⢛⣿⣿⣿⣿⠿⠛⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠟⠛⣿⣯⣿⣿⣆⠀⠀⠀⣿⣿⡀⢻⣿⡀⠀⠀⣿⣷⠀⢸⣿⢰⣿⡇⠀⣿⡿⠀⠀⢠⣿⡟⢀⣾⡿⠁⠀⠀⢀⣾⣿⢿⣿⣿⣶⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡄⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⡿⠏⠀⠀ ⠀⠀⠀⠀⠀⣀⣴⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⠹⣿⣏⠹⣿⣷⡀⠀⠈⣿⣧⠘⣿⣧⡀⠀⢸⣿⠀⢸⣿⢸⣿⡇⢰⣿⡇⠀⢀⣾⣿⠁⣾⣿⠁⠀⠀⣰⣿⡿⢿⣿⡟⠀⢈⣻⣿⣇⣀⣀⡀⣀⡀⠀⢀⣀⣀⣿⣿⣇⣀⣀⣀⣀⣿⣏⣀⠀⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣿⣿⡿⠟⠋⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣆⡀⠀⢹⣿⣿⣿⣦⡀⠀⠀⠀⠀⣴⣿⣿⣿⡄⠀⠀⢹⣿⡀⠘⢿⣿⣄⠀⠸⣿⣇⠙⢿⣷⣤⣼⣿⣤⣿⡏⢸⣿⣧⣼⣿⣁⣠⣾⡿⠃⣼⣿⠃⠀⢠⣾⣿⠏⢀⣿⡟⠁⠀⢸⣿⣿⣿⣿⣿⣿⣿⣧⡀⠉⢙⣿⣿⣿⠟⠛⠛⠛⣿⣿⠟⠛⠀⠀⠀⠀⣀⣀⣀⣈⡙⢻⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀ ⠀⢀⣼⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣄⠈⣿⣿⡟⠻⣿⣦⣤⡀⣼⣿⠏⠈⢿⣿⣄⠀⠈⣿⣧⠀⠀⠻⣿⣧⣄⣻⣿⠀⠀⠙⠛⠛⠛⠛⠛⠁⠀⠙⠛⠛⠻⠿⠿⠋⠀⣸⣿⣏⢀⣴⣿⡿⠁⠀⣼⣿⠃⠀⢀⣼⣿⣿⣿⣯⣿⣿⣿⡛⣿⣶⣿⣿⣿⣿⣆⣶⣶⣾⣿⡿⣶⡆⣶⡶⣶⣿⣿⣿⢛⣿⠇⢸⣿⡟⢿⣿⣷⣄⠀⠀⠀⠀ ⣰⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⠟⠁⠀⠈⠙⠻⣿⣿⠇⠀⠀⠀⠻⣿⣧⣄⣹⣿⠀⠀⠀⠈⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠿⠋⠀⠀⢰⣿⡏⠀⢠⣾⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣃⣾⣿⣿⣿⣿⡇⣿⢠⣼⡇⣿⣿⡿⢣⣿⣯⡄⢸⣿⡇⠀⠙⢿⣿⣷⡄⠀⠀ ⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠋⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠙⢿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⣴⣿⡟⣿⣿⡇⠻⣿⣿⣯⣿⣣⣿⣿⡜⠻⣿⣿⣿⢿⣯⣽⣿⣧⣿⣿⣿⣧⣿⣿⣡⣿⣿⣿⡇⢸⣿⡇⠀⠀⠀⠙⢿⣿⣦⡀ ⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠃⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⠏⠀⣿⣿⡷⠶⢿⣿⣿⡿⠿⠷⠀⠀⢀⡹⣿⣷⣶⡶⠶⠂⠀⠀⠀⠶⠶⠾⠿⠿⠿⠿⠿⢷⡾⢿⠃⠀⠀⠀⠀⠈⠻⣿⣷

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠴⣲⣤⣀⠀⢀⡴⠛⠒⠒⠒⠢⣍⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣊⠥⠤⢢⠗⠒⠬⢵⣏⣀⣀⣀⡀⠀⣴⣁⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠳⢦⡀⠀⠀⠀⠀⠀⠀⣏⠁⠀⠀⢸⠀⠀⣀⣎⣀⣀⣀⡀⠈⣿⣀⠉⠳⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡎⢷⢍⡲⣄⠀⠀⠀⠀⢹⡠⠔⢒⣹⡶⣿⢻⡟⡿⢿⣿⣿⣿⣧⢏⡿⣄⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣴⠚⡜⡇⠉⠉⠀⠀⠀⠀⠘⣤⡞⣯⠛⣼⣥⢳⢺⣭⢳⣮⡝⣿⣿⣯⡞⣽⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣏⠻⢷⡛⠉⠁⠀⠀⠀⠀⠀⣠⣾⢻⡝⣮⢯⡕⣮⡹⢶⡹⣞⣼⣳⠭⣏⢯⣝⣯⠿⣏⢉⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠤⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⡷⣨⠷⠀⠀⠀⠀⠀⠐⢿⡽⣎⣿⡼⣞⣿⡔⣯⣿⣿⣷⣾⣟⣻⣾⠟⣫⢧⠿⢛⣸⠃⠀⠀⠀⠀⠀⠀⣀⣤⡿⣿⣏⣭⣿⡿⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡋⠾⠥⠤⢤⠀⠀⠀⠀⠀⠈⢿⣽⣿⣿⣿⣽⣻⣶⡿⣿⣿⠻⣿⢯⠽⣗⣛⣫⣤⣾⠁⠀⠀⠀⡠⠖⠉⢙⣇⠹⣗⣳⢿⡉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣟⢿⣿⡷⣿⣇⠼⣏⣻⢻⣝⡲⢧⢞⡇⠀⡠⠊⠁⠀⠈⠀⢘⣤⠛⠋⠙⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⣿⡿⣿⣻⡟⠿⢿⣾⡟⠉⠉⠀⠀⣿⡜⣫⢷⡹⣎⣽⠷⠋⠀⠀⠀⠀⠀⠀⠎⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡂⠛⠛⠁⣩⣿⣄⡈⠛⠀⢀⣠⠴⡾⣿⢼⣱⢻⡵⠟⠁⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠈⠉⢉⡿⣏⣿⢮⠽⣹⣯⡿⠃⠒⢛⡻⠗⠛⠉⠀⠀⠀⠀⠀⠀⠀⢀⡠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠦⣀⣀⣀⣀⡤⣞⡳⣾⢏⡞⣭⢇⣿⠓⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⣀⠈⠁⢢⠹⢥⢳⣿⢫⡽⣚⣮⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⢶⣿⠿⣤⣀⣀⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠉⠀⠀⠀⠠⠉⢎⡱⢚⣧⣻⣹⣾⣦⣀⠀⠀⢀⢠⣤⠖⠊⠁⠀⣳⢎⡏⠐⠀⠀⠀⣠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠁⠂⠄⠣⠤⡉⢍⡉⢻⡀⠀⠐⠊⠉⠀⠀⠀⠀⢸⡏⡜⠢⢤⡀⢦⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠀⠀⡀⠀⠀⡀⠀⠀⠀⠈⠀⠐⠀⠐⠀⠀⠈⣧⠀⡀⠀⠀⠀⠀⠀⢠⣟⠟⠀⠀⠀⠀⠉⠓⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣃⡴⠋⠁⠀⣼⣿⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⣦⣵⣄⣀⡀⠀⢀⣿⠯⢄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⡢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢱⠀⠀⠀⠺⡽⣷⣹⢦⠶⡶⢶⢦⣤⣀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣾⡟⠀⠀⠑⠢⢄⠀⠀⠀⠀⠀⠀⠀⢈⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⢀⡽⣷⣋⣾⢿⣜⣫⢞⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠃⠀⠀⠀⠀⠈⠒⡦⢄⣐⣢⣴⣫⣾⣻⠷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡇⠀⠀⠙⢳⣿⢻⣿⢾⣴⣿⣿⣿⣻⣽⣯⢷⡿⣟⣿⣿⣿⣿⣇⠀⠀⠀⡞⠀⠀⣠⠃⠀⠀⠀⠀⠈⣷⢻⣿⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡤⠔⠃⠀⠀⠀⠘⠿⠟⢯⣿⣿⢿⣽⣾⣟⣷⣿⣻⢿⣟⣯⣷⡿⣿⣧⠀⣀⡞⠀⣀⠼⠁⠀⠀⠀⠀⠀⠸⣿⡾⢇⡼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⣀⠀⣀⡠⠀⠀⢠⣾⡿⣟⣾⣿⣯⣿⣟⡽⣻⢾⣽⣿⣻⣷⣿⣿⠲⠿⠥⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⠗⠚⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣤⣀⣀⠀⠀⠀⠀⠀⠸⣯⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⣀⣴⣿⣿⡿⣿⣻⣟⣾⣳⣞⣿⣟⣿⣻⢾⣽⣻⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣟⡿⣽⢲⣄⡀⠀⠀⢿⡽⡽⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢾⣿⣿⡿⣯⣟⣷⣻⢾⣳⣿⣯⢿⣞⡷⣯⣟⡷⣿⢯⣟⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣭⣻⡞⣟⣦⡀⠘⣿⣻⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⢿⣽⣻⢾⣳⣯⣿⢿⣳⣯⣟⣾⡽⣷⢯⣿⣟⡿⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣟⡼⡽⡾⠛⠂⠉⠉⠉⠛⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⣟⡾⣟⣾⣻⣿⢿⣯⣟⡿⣽⣳⢿⡾⣽⢯⣿⢷⡾⣽⣻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣾⠋⠀⢀⣀⡀⠀⠀⠀⢘⣮⢝⡩⣍⡿⢋⡇⠀⢀⣴⣿⣿⢿⣽⣻⣟⣿⣿⣻⣽⣟⣾⣽⣻⢿⣽⣯⢿⣽⣿⢯⡿⣽⣻⣿⡿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣻⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠔⠊⠀⠀⣼⡿⠛⢮⡳⡄⠀⣾⣸⡾⠗⣋⢐⠞⢀⣴⣿⣿⢯⡿⣯⣷⣿⣟⡿⣾⣽⢾⣽⣾⣳⢿⣯⣷⣻⣿⢿⣽⣻⣽⣿⣟⣿⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣿⡴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣞⢛⡲⠤⠤⠤⣤⠂⣿⠹⠷⠆⢯⡿⠀⠸⠷⠙⡟⢈⣩⣾⣿⣿⣻⣾⣿⡿⣟⣯⣷⢿⣽⡷⣯⣿⣳⣯⣟⡿⣞⣷⣿⢯⣿⣳⣿⣟⡷⣿⡿⣟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡾⡜⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣱⣨⣑⣺⠋⠀⠘⢟⡲⣶⡿⠁⠀⠀⠀⠀⠘⣿⣿⡿⣷⡿⣟⣯⣷⣟⣯⣟⣾⣟⡷⣿⣻⢾⣽⣳⣿⣿⢿⣻⣾⣿⢿⣻⣽⡾⣟⣿⣟⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣟⢷⡹⣜⣣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠃⠀⠀⠑⠤⣉⠁⠀⠰⠀⠐⠒⢁⣴⣿⢯⣿⢯⣿⢿⣽⣾⣻⡾⣽⣞⣯⣿⢷⣻⣯⣷⣿⣿⣾⢿⣿⣳⣟⡿⣽⡷⣟⣿⡿⣾⣻⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⣮⣕⡎⢶⠝⠓⠉⢩⡯⡝⢭⢓⠶⣲⢶⣺⠽⠛⠀⠀⠀⠀⠀⠀⠀⠉⡶⢺⣤⣶⣾⡿⣟⣯⣿⢯⣿⡽⣯⣷⢿⣳⣿⣻⣾⣽⣾⣿⣿⣟⡿⣽⡾⣽⣻⣞⡷⣯⣿⣻⣽⣿⣟⡿⣽⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠫⢾⠋⠀⠀⠀⠀⠳⣙⣦⣫⠼⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠉⢿⣿⣿⣿⣿⣻⣿⡷⣿⢿⣾⡿⣿⣻⢿⣽⣯⢿⣾⣳⣿⣻⢷⣻⣽⣳⢯⣟⣿⢾⣽⣳⣿⣽⣻⣽⡾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠻⠿⣿⣷⣿⣯⣿⢾⡽⣷⢯⡿⣾⡽⣿⣞⣿⢾⣽⣟⡷⣯⣟⣯⢿⣞⣿⣽⣿⣻⢾⣽⣳⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⣿⣿⣯⣿⣽⣳⣿⢷⣻⣽⣿⣻⣾⣻⢷⣯⢿⣯⢿⣾⣿⣳⣟⣯⡿⣽⣻⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠹⢿⠿⢿⣿⣿⣷⣿⣳⣿⣽⣻⣞⡿⣾⣻⣿⢷⣯⣟⣾⣟⡿⣽⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣀⡴⡿⣭⢻⡽⣿⠿⣿⣾⣷⣿⣽⣷⣿⢯⣿⢾⣽⣻⡾⣿⣽⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⠀⠀⠑⠒⠠⡤⡤⠤⠤⠄⠀⣀⣀⣼⠀⠀⠀⡼⠀⠀⣌⡇⠈⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⢯⣽⢳⣽⡳⠛⠁⠀⠀⠀⠙⠿⣿⣿⣿⣿⣽⣿⣯⣿⣽⣿⣾⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⢸⠀⡇⠀⠀⡀⣸⠃⠀⡜⠀⠀⠀⡧⠤⠤⢧⡀⠀⠀⠻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣻⢿⣸⣟⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠿⠿⠿⠟⠿⠛⣿⠿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢇⠀⠀⢰⠃⠀⡇⠠⣿⡿⠃⠀⠀⡇⠀⠀⢰⠁⠀⠀⠀⢱⠆⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢷⣹⡞⡷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣿⢻⡜⣯⡇⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⢸⠀⢀⡇⠀⢻⡀⠀⠀⠀⡧⢦⡞⣽⠀⠀⠀⢠⣃⡀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣯⣏⣷⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⣭⣗⡻⣖⢿⡀⠀⠀⠀⡀⢂⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢫⠀⠀⠈⡄⠘⢆⠀⠀⢧⠀⠀⠀⡿⡷⣙⢾⡄⠀⠀⠸⣿⣿⣤⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⠠⠀⢸⡉⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⣾⣝⣾⣹⣧⠀⠀⠠⠧⠄⠡⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⢳⣶⣿⣷⠀⠈⠶⢿⣿⡆⠀⠀⣿⣿⣻⣾⡆⠀⠀⠀⠈⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠭⣼⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣟⣼⡟⠚⠷⡲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠓⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣽⣀⠀⢀⢙⣎⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

𝓜

🥀☠🕷🕸🗝🖤 "red rose, black, esthetic, old"🖤🥀

🥀☠🕷🕸🗝🖤 "red rose, black, esthetic, old"🖤🥀🕸️ 𖦹🕷️🕸✮ 𖦹🕷️🕸✮ 𖦹🕷️🕸✮