‎‎‎‎‏‎‏‎ㅤㅤㅤ🩸ㅤ🩸ㅤ🩸ㅤ🩸
‎‎‎‎‏‎‏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣞⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣮⣙⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣠⡔⠒⠛⢟⠁⡀⢀⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣶⠆⠄⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣶⣾⣿⣿⣿⣴⣿⣿⣿⣿⣿⣿⠉⠉⠻⣿⣶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣰⣾⣿⣷⣸⡂⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣗⣹⣇⣼⣿⣿⣿⣿⣿⣿⣿⡿⣿⣄⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⣠⣶⣶⣿⣿⣿⣿⣿⣽⣿⣰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡌⠻⠛⠶⠌⠁⠁⠀⠀⠀⠀⣾⣿⣿⠛⠛⢹⣿⣿⣿⣿⣸⠃⣀⣆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⠀⠀⠀⡀⠀⠀⠀⠠⣿⢿⣤⣴⣿⢾⣾⢿⠏⣧⠀⠀⠀⠐⠀⢐⠣⣀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠈⠻⣿⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠠⣟⢿⣿⣾⡷⣟⣷⠚⠚⢁⢤⣀⣔⣩⠜⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠂⠀⠸⣼⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⢈⣟⡛⠒⠻⠟⢁⡄⢀⣬⣀⠈⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⡀⠀⠀⡀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠦⠀⠀⠠⠂⠀⠙⠿⠛⠁⠀⠀⠀⣶⡀⠀⠚⠛⣿⡿⠧⠷⠞⡩⣄⣿⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣮⣉⡐⠰⠂⠀⡈⠁⢈⠉⠙⢙⣿⡙⠋⠟⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡽⢹⡠⡜⢋⣀⣤⠀⠔⢺⣿⣿⣷⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⡉⠽⠉⠓⠄⣼⡈⢼⣦⡶⠋⠠⢉⠳⣴⣇⠀⠀⡀⠀⠀⡀⠀⣰⡷⢤⢶⢌⡖⢠⠞⢁⣤⣤⣤⡰⡀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠁⠀⠀⠘⢶⠴⠒⠛⢍⠠⠴⠲⠿⡶⠮⣌⣻⣧⣤⣌⡴⠇⠊⠁⠴⠶⢻⠋⢀⣴⢀⣾⣿⠿⠋⠀⠀⠀⣾⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠂⢀⠰⣿⠂⠘⠀⠀⠀⠛⠁⢠⣤⣶⣖⣠⣤⣶⣼⣄⣿⣿⣾⠟⠁⠀⠀⠀⠀⠀⠘⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢻⣧⢀⣴⣁⠀⠈⡙⠦⠄⠀⠀⣀⠀⠀⠉⠛⠿⠿⢿⣿⡿⠿⠟⠋⢁⣠⠴⢁⠄⠀⠀⠀⠈⠁⠸⠭⠿⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⢯⣭⠄⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣕⣤⣠⣄⣀⣀⣤⣤⣶⡶⢉⣡⠔⢱⢆⣭⡆⠀⢰⠀⠀⠀⣀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣯⣛⡻⠿⠿⠅⣡⠶⠟⠁⠀⠀⠈⠉⠀⣀⠜⠀⢀⠊⢾⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢂⡀⠀⠀⠈⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠖⠒⠳⢅⠀⠁⠂⠀⠀⠀⠀⠀⠈⠀⠒⠒⠊⠁⠀⣀⠀⠀⠀⣁⣧⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⡀⠀⠀⠀⢰⣦⡀⠠⠄⠀⠠⠴⠋⠀⠀⠀⣀⠈⣆⢼⣇⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⣤⣤⣤⣤⡀⠂⢺⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⢠⣿⡿⠿⣰⣀⠀⠀⠀⠀⠀⠀⡸⢩⢀⠏⠈⢘⢂⠀⠀⠀⠀⠀⠀⠀⠀⠑⠛⠛⠿⠿⠁⡈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡛⣰⡿⠟⠋⠉⠀⠀⣀⣤⡾⠁⠀⠐⠀⡀⠘⠈⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⣼⣶⠀⠀⠀⠀⠀⣿⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢿⡆⠀⠀⠀⢸⠁⠀⠀⠀⠠⠴⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠉⠐⠀⠀⠀⠀⠀⠀⣀⠈⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠀⠀⡆⡐⢠⠀⠀⡟⠰⠦⠀⠀⠈⠂⠰⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡊⠀⠀⠅⠠⠄⠀⣶⠀⢰⠀⠐⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⢠⠐⣀⠠⣯⡀⢀⡄⢀⠀⠇⡀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀