Delorean Dmc-12 Emoji Combos

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

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