⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⢠⣶⣌⠢⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠁⢸⡏⠙⡄⠈⠻⣿⣶⣶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡟⠀⠈⠑⠙⠂⠀⠀⠀⠀⠀⠀⠈⠊⠽⠶⠄⣀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡿⡁⠀⢀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⡀⠀⠑⠚⠉⢉⣀⣤⢙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡟⠁⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠻⡍⡹⢋⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⡞⣾⣿⣿⡖⣴⣿⣿⣿⣿⣟⠿⢿⣿⣿⠉⠛⢿⣿⣿⠻⣿⣿⣿⣿⣷⡄⠙⢁⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡞⢸⣿⣿⡇⣼⣿⣿⣿⣿⣿⣿⣿⣶⣤⣉⠁⢰⣄⡈⠛⢷⡀⠙⠻⣿⣿⡞⣄⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣼⢀⣿⣅⠈⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⣿⣿⣶⣄⡀⢠⣀⠀⠙⠃⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣸⣿⢸⢯⢿⡀⠈⣿⣿⣏⣬⣿⠿⣯⣷⣿⢿⡿⣝⢯⣿⢿⣿⣿⣿⣾⣿⣷⣄⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣰⣿⣿⣿⣚⣾⠁⢠⣿⡏⣿⣿⣿⣿⣷⣄⠁⠚⠳⢽⣪⣟⣽⣽⠳⢿⠾⣿⣿⣿⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣰⢹⣿⣿⣿⣟⠟⠀⣸⣿⠀⢱⣿⣿⣧⣈⣟⣧⠀⠀⠀⠀⠈⠉⠓⠻⣬⣷⣿⣿⣏⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢀⢃⣿⣿⣿⣿⣿⣷⡖⣿⣿⠀⠀⠹⣾⡿⠟⠁⠋⠀⠀⠀⠀⠀⣠⣶⠛⡟⢻⣶⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡼⣸⣿⣿⣿⣿⣿⡏⣧⢿⣿⣷⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠋⣠⣾⡷⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢀⢇⡟⣿⣿⣿⣿⣿⡇⣿⣞⣿⣿⣿⣦⣄⠀⠀⠀⢀⣀⣀⠂⠀⠈⠓⠂⠀⣰⣿⡿⡙⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⣼⠃⣿⡏⣿⣿⣿⣷⣿⣿⣾⣿⣿⣿⢻⠉⠒⠄⣀⠈⣉⣀⣀⣀⠀⠤⢺⣿⣿⣿⡤⠔⠊⠉⠀⠉⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢨⣿⠀⡿⢱⢹⣿⣿⣿⣿⣿⣿⣿⢳⡆⠀⠣⠠⠚⠁⠀⠀⠀⠀⠠⠂⠀⠞⠉⢹⠋⠀⠀⠀⢢⠀⠀⠀⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⡟⠀⢷⢸⣯⣿⣿⣿⣿⠟⠿⣿⠿⠓⢢⠒⠧⡠⢀⡀⠠⢀⠔⠁⠔⠊⠀⠀⠈⠀⠀⠀⢀⣸⠀⠀⠀⡤⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡚⠒⣦⡀⠀
⣿⣿⠀⢸⡈⣿⣿⣿⣿⣿⢀⠊⠁⠀⠀⠀⢡⠄⡈⢺⡕⠊⠁⠀⠀⠈⠉⠉⠐⠢⢄⡈⠉⠁⢹⡆⠀⣰⠩⠮⢳⡀⠀⠀⠀⠀⠀⠀⠀⣼⢄⠘⣆⢸⣷⠀
⣿⣿⣄⠨⣧⢻⣿⣿⣿⣿⣯⠀⠑⢌⠂⣄⡸⠤⣬⡻⡁⠀⠠⢄⡀⠀⠀⠀⠀⠀⠀⠈⢂⠀⠀⡟⡄⠓⠒⣸⢹⣇⣀⣀⣤⡤⠴⠚⣼⣿⡟⡇⢸⢸⣿⠆
⣿⣿⣿⢦⣿⣧⢿⣯⣿⣿⣧⠀⠀⠦⣷⠏⠉⠐⠈⠻⣗⢤⡐⠺⠉⡁⠀⠀⠀⠀⠀⠻⠿⣃⡜⠁⠈⢄⠀⠀⠁⠘⡌⠀⠀⠀⠀⠀⠉⣽⠃⡇⢸⣸⣿⠀
⢿⣿⣿⣿⣿⣿⣿⣿⣞⣿⣿⡀⠀⠀⠉⢻⡀⠀⠀⠀⢹⡦⠚⠑⠒⠨⠵⢮⣷⣶⠁⠖⠉⠀⠉⢳⠒⠛⡏⠂⢤⠤⠞⠀⠀⠀⢀⡀⠀⢙⢲⠁⣾⣿⠏⠀
⠸⣿⣿⣯⠻⣿⣿⣿⡽⣞⣿⣧⡄⠠⠔⠉⣧⠀⠀⣠⠊⠀⠀⠀⡌⠀⣠⠗⠊⢊⠢⡀⠀⠀⠀⡜⠀⠀⢸⠀⠀⡆⠀⠀⠀⢔⡃⢈⡝⠘⡇⢀⣷⡿⠀⠀
⠀⠻⣿⣿⣆⠙⢿⣿⣿⣧⣛⣿⣳⣤⣀⣼⣿⣏⠁⠆⠀⠀⠀⢰⡅⢸⣒⣚⣁⠈⡄⢈⠔⠒⠓⠤⣀⣀⡸⢀⡐⠀⠀⠀⠀⠆⠓⠛⡛⢸⣠⣾⡿⠃⠀⠀
⠀⠀⠙⠿⣿⣦⡀⢻⢿⡿⣿⢼⡷⣟⣾⣿⣿⣏⠙⠛⠢⠀⠤⡎⠀⠀⠈⠒⠮⣤⠗⠁⠀⠀⠀⠀⡥⠤⢍⣀⣨⣭⠗⠋⠐⠛⠐⠒⠋⠉⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠉⠛⣺⣯⣿⡽⣿⣟⣯⢞⣾⣿⣵⣼⣄⣠⢺⠩⡇⠀⠀⠀⠀⠀⢹⣦⡀⠀⠀⢀⣰⣵⣾⡿⠟⠛⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣷⣟⣿⣿⣾⡿⠛⡉⣉⣭⣙⡻⣖⠳⢀⠀⠀⠀⣠⡾⣤⣉⠐⠈⠛⠓⠚⠓⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⣠⢞⣫⠏⣼⣿⠏⣿⢿⣿⡟⠀⡰⠊⠡⣠⢳⢱⠘⢇⠈⠹⡟⢻⣟⣉⣡⣶⣛⣖⣦⡤⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠒⠶⠿⣟⣾⠟⢁⣾⠟⠁⠀⢿⣺⣿⡁⡜⡡⣑⣄⡈⢀⠞⣠⣿⣧⡀⠈⢯⣻⣷⣼⠼⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠘⠓⠛⣧⣡⣓⣙⡣⠚⣁⣾⡟⣧⡿⠋⢢⣜⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢦⣀⣠⣶⢿⣳⡿⠏⢁⠢⡈⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⠛⠀⠄⡁⢂⠁⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠤⣌⣀⣈⣤⠾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀꧁♡ 𝓝𝓮𝔀 𝓙𝓮𝓪𝓷𝓼 ♡꧂

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠔⠈⣉⣉⠀⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠁⠠⠉⣀⠈⠓⡄⠐⠀⢀⣀⡀⠐⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⣘⣰⣿⣾⣿⣼⣇⠴⠋⠉⠈⠙⡦⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⡐⣡⣿⣿⣿⣿⣿⡁⣴⣞⣿⣯⣷⡞⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⠔⠂⢁⡠⠔⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡰⠂⡠⠊⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠎⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡇⠸⣀⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⢒⠦⠤⠤⢄⣈⡀⠐⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⠀⡔⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢦⣤⣠⣀⠀⠉⠒⢤⣀⠁⠢⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠘⡄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣤⣄⡀⡓⢄⡈⠲⠀⠀⠀⡀⠀⠀
⠀⠀⠀⠀⣐⡄⠈⢻⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠹⣿⡟⠉⣿⣿⣿⠿⠿⠿⣿⣿⣿⣷⣶⣀⠑⠂⠠⠤⢤⡈⠱⡀
⠀⡠⠂⠉⠀⠤⠤⢼⣿⣿⣿⣿⣿⣿⡏⠀⢮⣕⡈⠋⠀⡰⣿⣿⣿⣟⣶⠀⠀⣉⣹⣿⣿⣿⣶⣦⡤⣤⣰⢱⠀⠁
⠘⠀⠔⢁⣠⣤⣲⣿⣿⣿⣿⣿⣿⣿⣇⢊⣷⣶⠣⣀⠘⣾⣿⣿⣿⣿⣿⠃⡬⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⡄
⡄⢠⣟⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣶⢠⣜⣿⣿⡧⣌⠛⠁⡠⢃⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⡐⠁
⠡⡀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣧⢯⣽⣠⣾⣿⣿⣿⣿⣿⣿⣿⠏⢀⠔⠈⠀⠀
⠀⠈⠐⠀⠈⠉⣉⠉⠉⣈⠁⠉⠉⠀⠀⠀⠀⠀⠉⡉⠉⠻⠿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⢣⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠄⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢣⡀⢁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠄⡈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠇⢸⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⢀⠉⠛⠿⣿⣿⣿⣿⡿⠋⠀⠆⠀⠀