Transport Emojis & Symbols

⣿⣿⣿⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡈⠙⢧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⣻⣷⣾⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠹⠟⠋⠉⠀⠿⠽⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠛⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠘⣁⡌⢬⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠐
⠀⠀⠀⠀⠀⡀⠄⢀⠀⠀⡀⠠⠄⠀⢀⠁⠀⠔⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⢀⣀⢀⡀
⠀⠀⠀⠀⠀⡁⠀⠀⠀⡨⢄⡀⠀⠀⠻⢄⣀⡄⢳⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣈⠀⡴⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⠀⢀⠀⠀⡀⠉⠐⠒⠀⠀⢠⠀⠀⠉⢁⠤⢂⡴⠈⠥⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠉⠀⠐⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠁⢀⠀⠀⡀
⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⠂⠉⢰⡯⠀⠠⠆⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣠⠀⠀⠀⠀⠒⣀⠀⠀⠃
⠀⠉⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠳⢆⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢤⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠈⡏⠂⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠂⠁⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠙⠂⠈⠀⠀⠀⠀⢠⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠐⠋⠈⠁⠀⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠂⠒⠐⠀⠀⠀⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⠊⠀⠈⣣⠀⠀⠀⠤⠔⠐⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠈⠀⠀⣠⠁⠀⠀⠀⠀⠐⠀⠀⠀⡀⠀⡄⠀⣤⠀⠰⠶⠀⠀⠀⢸⠿⠀⠷⠏⠈⠄⢀⡀⠀⠢⠄⠒⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⢄⣀⠀⠀⠀⡀⠀⠁⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⠄⡀⠀⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠩⠒⠁⢄⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠈⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠳⢄⡀⠀⠀⠀⠴⠂⠄⠀⠀⣀⢽⡠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⠉⠀⠀⣀⣀⣀⣤⡄⠤⠄⠀⠁⠋⠀⠀⠘⠂⠁⠀⠀⠘⡘⠛⠉⠑⠲⠦⠤⠤⠶⠖⠒⠋⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⠈⠋⠉⠛⠂⠀⠂⠤⢄⣏⠁⠤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⢠⡀⠀⢀⠀⠀⠀⠀⠈⠉⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠰⡆⢒⠀⠁⠀⠀⠀⠀⡘⠁⠀⠔⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠈⠁⠛⢤⣮⠗⠀⠀⠀⠀⠠⡇⠀⠤⠀⠀⠀⡁
⠀⠀⠀⢀⠀⠀⠐⠀⠀⡀⠀⠀⠀⠀⠀⠀⠂⢀⠀⠀⠀⠀⠂⡀⠀⠀⠀⠈⠀⢀⣠⠒⠁⠀⠀⠘⣣⠀⠀⠉⠤⠀⠀⠀⠀⠀⢳⡄⣀⡠⠄⡤⠁
⠀⠀⠘⠏⠀⠀⠀⣠⠸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⢈⠁⠁⢒⡤⠴⡖⠁⠀⢠⠎⠀⠀⠀⠑⠂
⠀⠀⠀⣠⠐⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⠓⠒⠋⠀⠀⡇⠀⠀⢈⡠
⠀⠔⠋⠀⠈⠉⠉⡌⠁⠀⠈⠁⠒⠀⠀⠀⠀⠀⠁⠐⢢⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠤⠶⠔⠁
⠀⠁⠀⠀⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠐⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⡀⠀⡀⠀⣀⠀⠀⠀⣀⠀⢠⠀⢀⠀⢀⠀⠀⡀⠀⡀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠒⠲⠀⠀⠒⠒⠀⠀⠀⠀⣾⣷⠛⠀⠛⠀⠋⢀⠛⠀⠙⠀⠈⢀⠈⠀⠈⠀⡸⠃⠈⠃⣼⣷
⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡿⢷⣶⣾⣶⣿⣶⣿⣶⣿⣶⣾⣿⣿⣶⣶⣾⣿⣷⣾⣷⣴⣿⣿⣶⣶⣶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢤⣠⡄⣀⣀⡀⡠⠤⠄⠀⠀⠀⠀⠀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢉⠔⠘⢉⠇⡃⠈⠉⠀⠀⠒⠒⠒⡗⠠⠤⠤⣤⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠠⠤⠾⠃⠒⠚⠛⠒⠋⠒⠋⡝⠫⡄⠉⠈⠘⢷⠈⢹⡍⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⣁⠀⠘⠉⠀⠤⡽⠛⢂⠀⣀⣀⣀⠀⠀⠠⠀⢠⣶⣆⣾⣶⡀⡶⢾⡟⢻⠅⣿⡽⠃
⠀⠀⠀⠀⠀⠀⢠⢐⠐⠉⠀⠀⠀⠀⠀⠀⠈⠀⠀⣸⡔⢺⣟⠀⢀⣀⡀⠄⢟⠋⢹⢻⠀⠀⢸⠇⢺⣠⠊
⠀⠀⠀⠀⠀⠀⠘⠂⠀⠀⠀⠀⡋⠀⠀⠀⠀⣀⣠⡼⠇⣈⡃⠀⠁⠀⠀⠀⠀⠀⢰⢼⠀⢀⣿⡴⠛⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⠀⣱⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠐⠂⢈⣤⣾⠟⠋
⠀⠀⠀⠀⠀⠀⢀⠠⣀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣟⠕⠁
⠀⠀⠀⠀⠀⠀⠸⢦⡼⠂⠀⠀⠀⠀⠀⠀⡀⠉⡦⠀⠀⢀⠀⢀⣢⣞⡷⠿⠿⠟
⠀⠀⠀⠀⠀⠀⠠⠁⡀⠒⢀⡀⠀⠠⠤⠀⠈⠻⠉⠀⢠⣴⣿⡿⣿⠽⡛⠙⠁
⠀⠀⠀⠀⠀⠀⠁⢰⣧⠄⣏⣟⣿⣿⡄⠀⠠⢙⣀⣠⡯⣿⠿⠋⠁
⠀⠀⠀⠀⠀⠀⢀⡩⠖⠋⠁⠉⠉⠑⠚⠒⠻⠿⢟⣭⡚⠁
⠀⠀⠀⠀⠀⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠊

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠆⠀⠀⠀⠀⠠⠀⠐⠒⠒⠀⠀⠀⡄⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡐⠂⠠
⠀⠀⠀⠀⠀⠀⠀⠀⢠⡲⠟⠀⠂⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⢋⠉⠀⠀⠁⠀⠀⠀⠀⠠⠀⠀⠀⠀⠈⠁⡠⣖⠙⠢⡀
⡆⠀⠐⠀⣀⠠⠐⠈⢀⠀⠼⠒⠛⠉⠁⠀⠀⠀⠀⠀⠀⡠⠀⠀⠉⡉⢢⣤⠀⠀⠀⠀⠀⡤⡁⠂⠀⠀⠀⠀⠀⣃⢀⣅⡠⠃⠈⠂⠂
⢸⣦⡠⠎⠀⢠⠰⡸⠂⠀⠘⠃⠒⠒⠀⠤⠀⠀⠀⠀⠄⠀⠀⠀⠀⠃⢠⡼⠀⠀⠀⠀⠈⠁⠀⠃⠀⠀⠀⠀⠀⠈⠀⠈⠀⠀⠀⡸⠀⢡
⠈⠉⡇⠀⠀⠀⢀⠤⠤⠤⢤⣴⠶⢺⠓⠉⠀⠀⠀⠀⣤⡀⠀⠀⠈⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠠⡤⡠⠔⠋⠀⠁
⠀⠀⠘⠂⠒⠀⠀⠀⠀⠀⠈⠛⠊⠁⠀⠀⠀⠀⠀⠰⠈⠱⠇⠀⠀⠹⠄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠐⠀⠀⠀⠀⢠⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠌⣕

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠘⣧⠀⠀⢀⣀⣀⡀
⠀⠀⠀⠀⠀⠀⠈⠀⠒⠒⠒⢢⠑⡀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠉⠁⡇⠀⠀⡄⠀⠐⠐⠐⠀⡧
⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣸⠀⡇⠀⠀⠀⠀⠀⠀⠀⣖⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠠⡄⡇⠀⠀⣀⣦⡀⠈⠀⠀⢁
⠀⢈⠀⠀⣀⣀⡍⠀⠈⠩⣉⣅⠀⡃⠀⠀⠀⣠⡄⠀⠀⠉⠁⠀⠀⠀⣀⠀⡀⠀⠀⢠⠀⠀⠀⠀⡽⠀⠀⠀⡇⠀⠀⠙⠿⠃⠀⠀⠀⣼
⠀⠰⡄⠤⡎⠦⣹⣄⣼⣞⠴⢨⢧⠅⠀⠀⠀⢏⠀⠀⢠⢴⣀⠰⢀⠎⠴⣶⣨⠂⠀⡀⠀⠀⠀⠀⠤⠄⢠⢀⡁⢄⠀⣀⡠⢒⠢⣀⣀⣸
⠀⠀⠀⠀⠉⠉⠁⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠟⠈⠀⠀⠃⠻⠃⠑⠒⠊

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⠀⠀⠀⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠇⠠⡀
⠀⠀⠀⠀⢀⡀⠴⠂⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⢀⠐⠀⠀⢀⠂⠀⡀⠄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢆⡷⠄⠀⢀
⣄⣀⣂⡀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠐⠀⡄⠀⠀⠀⠠⠀⣀⣠⣀⠀⠀⠀⠀⡀⣀⠀⠁⢄⠀⠀⠀⠀⠀⠀⠀⡠⢔⠀⠀⠀⡏⠁⠀⢂⣠⢤
⠀⢐⡳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠁⠠⢊⠀⢈⡏⠀⠀⣰⠁⠈⡵⠂⠀⠀⠀⠀⠀⢠⠄⣋⣝⣉⠀⠰⠎⠁⣀⣬⣁⠈⠱
⠐⠆⢓⠰⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠁⠀⠀⠋⠉⠀⠀⠀⠈⠓⠊⠁⢰⡆⠀⠀⠀⣶⣊⣼⠉⣥⠹⣇⣀⣰⣾⢓⣬⢹⣆⣸
⠀⠀⠀⠀⠀⠀⠉⠠⠀⠀⠂⠀⠀⠀⠽⠦⠀⠀⠀⠀⠀⠁⠀⠲⠀⠀⠀⠀⠠⠖⠶⣥⣌⠇⠀⠀⠈⠈⠈⠶⠼⠞⠁⠀⠀⠘⠦⠷⠞

⠻⠍⠀⠀⠀⠒⠀⡀⠀⠀⠀⣡⡴⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⡀⣀⠀⠀⠀⢰⢒⣀⣺⠏
⠐⠓⠒⠶⠦⠤⠤⠦⠤⠬⠵⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠈⠭⠏⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠒⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⡄⠀⢠⢤⡄
⠀⠀⠀⠀⢀⣀⣀⣀⠀⠈⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡞⠁⠀⠶⣄⡁
⠀⠀⠀⢀⣀⠘⠉⠟⠀⠀⡰⣎⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠖⠷⠒⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⣸⣞⣿⠿⠇⣶⠆
⠀⠀⠀⠘⠿⠖⠒⠚⠀⠉⠈⠛⠋⠀⠀⠀⠀⠀⠀⠀⠁⠰⣿⠗⠀⠀⠀⠀⠐⢿⡷⠉⠀⠀⠀⠀⠀⠀⠘⠛⠁⠈⠁



⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⣀⠀⠀⠀⡀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⡄
⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⢠⣯⣷⣦⣿⣦⣿⣾⣿⢼⡿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠈
⠀⠀⠶⠖⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠊⠁⠿⠞⠉⠀⠉⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⠘



⠀⠀⠀⢀⣠⣤⣤⣤⠶⠖⠖⡒⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⢘⠁⠉⠁⠀⢀⣠⣀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣀⣀⣀⣀⠀⠀⠀⠀⡀⠀⠀⠀⡀
⠀⠀⠀⠈⣛⠛⠛⠛⢻⣟⠛⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠘⣙⢳⠾
⠀⠀⠀⠘⠿⠂⠐⠐⠸⣿⠦⠿⢿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠀⠈


⠀⠀⢀⣐⠋
⣴⣾⣟⣉⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣴⣀⣀⣀⣀⣀⣀⣀⣀⣠⣀⣀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠀⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣄⡀⠀⠀⢀⡀⠀⠀⣀⣠⣤⣤⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠠⠖⠠⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠔⠠⠀⣀
⠀⠀⠀⠀⡆⠤⠀⠀⠀⠀⠀⠀⠀⢠⠀⡍⠀⠄⠀⠀⠁⠀⠀⠀⠠⠤⠀⠀⠀⠀⢰⣦⠀⣀⡀⠀⠀⠐
⠀⠀⠀⠀⠇⠀⠠⡴⠛⠳⣦⠀⠀⠀⠀⠁⠀⠀⠁⣴⠟⠛⣦⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⢀⣀⣀⣀⡀
⠀⠀⠀⠀⠀⠀⠈⢷⣄⣤⠟⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⢀⡀⠀⠀⠀⠀⠀⡀⢂⡤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠚⠓⠒⠒⠒⠒⠒⠛⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⡶⣆⣠⣦⣠⣖⣆⣴⢦⣠⡴⣆⣰⣰⣠⣖⣴⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢃
⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢡⠉⠉⠉⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂
⠀⠀⠀⠀⢀⠈⠀⠀⣠⣤⣄⢸⡇⠀⠀⠀⢀⡀⣴⣄⢀⣴⣄⢀⠀⡀⠀⠀⣀⠉⠀⠀⠀⠀⠀⠁⢠⢠⠆⠂⠀⡄⠀⠀⠀⠀⠀⠆⠀⠠⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⠏⠀⠀⠀⠀⠀⠀⠘⠿⠿⠛⠿⠿⠁⠀⠀⠀⠀⡉⠀⠀⢀⣤⡄⠀⠀⠈⠈⠀⠀⠀⠋⠀⢈⣬⡉⠈⣩⣄⠉⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣍⡽⠉⠉⠉⠉⠉⠉⠉⠉⠁⢿⣉⡿⠸⣏⣹⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡖⠀⡀⠀⠀⠀⠀⠀⠀⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⣤⠀⠀⠀⠈⠀⢸
⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⢦⠀⠀⠀⠀⠀⠀⠀⢠⠀⣿⣀⠀⠁⣦⡇⠈⠖⠒⠒⠒⠒
⠀⠀⠀⠀⠛⠂⢀⡴⠶⣦⡀⠀⣹⢮⢪⢺⡔⡕⡵⠋⣠⠶⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠉⠀⠀⠟⠷
⠀⠀⠀⠀⠀⠀⠺⣄⣀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠐⢧⣀⣠⡟⠀⠈⠀⠀⠀⠀⠀⠀⠀⢠⡞⠛⣆⣀⣀⣰⡟⠳⡆
⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠚⠃⠀⠀⠈⠓⠚⠁

⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⢀⣄⣀⣀⣤⣠⣄⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⣠⣴⣤⡄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠠⠀⠉⠘⠀⠂⠆⠀⠀⠀⠀⠀⡀⠁
⠀⠀⠀⠀⠰⠀⠠⠠⠀⠀⠀⠀⠄⠀⠀⠀⠄⠦⠴⠠⠤⠴⠤⠄⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢏⡒⢀⢄⠀⠉⠀⠀⡄⠈⠀⠁⠂
⠀⠀⠀⠀⠒⠲⣖⠶⣲⢶⡲⠒⠒⠒⠒⠒⠒⠒⠒⢶⡲⢖⡶⣲⠖⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠀⠚⠊⠀⠀⠉


⠀⡉⠈⡁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⢀⠄⠀⠀⠀⠀⠐⠀⠌⠉⠉⠁⠀⠀⢰⡆⣀⡀⠠⠤⠤⠠⠄⠂⠀⠀⠀⠀⠀⠀⢀⡠⠊⢀⣁⡢
⠀⢀⡀⠀⠀⠀⠀⠀⠀⣀⠿⠚⣡⢈⣉⣰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣬⣡⠀⠀⠀⠀⠀⠀⠀⠀⢀⢒⠀⠀⠀⠀⠀⢀⠞⣫⡈⠙⡆⠠⡀
⠀⢅⠀⠀⠀⡦⠐⠀⠈⡀⢠⠴⢋⡙⠉⠀⠀⠀⠀⠀⠀⠀⠀⡠⠂⠈⠀⠐⠈⢳⠦⠀⠀⠀⠀⠀⡴⢧⣉⠀⠀⠀⠀⠀⠀⣆⢤⣤⡴⠁⠀⢉⡑⠂
⠀⢸⣷⣶⠋⠤⠀⠔⠢⠋⠈⠉⠉⠉⠀⠒⠀⢰⠄⠀⠀⠀⠘⠀⠀⠀⠀⠠⠀⢰⠖⠀⠀⠀⠀⠀⠈⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⢀
⠀⠈⠉⠓⠀⠀⠀⢀⠰⠠⠤⠤⣶⣶⢞⡛⠋⠁⠀⠀⠀⠀⢰⣄⠀⠀⠐⢁⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠢⠤⠤⢺⠃⠕⢀
⠀⠀⠀⠈⠓⠒⠈⠀⠀⠀⠀⠀⠘⠛⠊⠀⠀⠀⠀⠀⠀⠐⠆⠉⠿⠉⠀⠀⠿⠔⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠐⡄⠀⠁⠰⠀⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣙⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣯⣽⣆
⠀⠀⠀⠀⠀⢀⠀⠀⠒⢀⣠⣄⣤⡒⢠⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠁⠈⠀⠈⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠒⢹⡇⠈⠉⢉⠉⢉⢉⠉⡉⢠
⠀⠀⠀⠠⠂⠀⠀⠀⠀⢠⠀⠀⠀⣧⠀⠇⠀⠀⠀⠀⠀⠀⠄⢃⣄⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⠀⠀⢸⡇⠐⠀⠚⣀⠐⠘⠀⠂⢸
⠀⠀⢠⠄⠀⠀⠀⠀⠆⠘⠴⠖⠶⠟⠀⠄⠀⠀⠀⠀⠀⠀⡄⠽⡞⠀⠀⠀⠀⠀⠀⠆⠄⠀⠀⠀⠀⠀⠀⠰⡆⠀⠙⢸⡇⠀⠠⢶⣿⡦⠀⠀⠀⢸
⠀⠀⠘⠀⠠⡲⡞⢷⢦⠀⣐⡶⠳⢶⡀⠄⠀⠀⠀⣴⠏⠀⡀⠀⣀⢄⡄⠀⡠⢖⡂⢄⡀⠀⠸⠆⠀⠀⠀⠸⠁⠀⠀⢨⡇⠀⠀⠈⠉⢀⡀⠀⠀⢸⡆
⠀⠀⠘⠓⠃⢿⣭⡴⠛⠒⠻⣾⣭⠝⠛⠃⠀⠀⠀⠑⠀⠀⠳⣯⣷⠆⠘⠐⠡⢹⣿⠇⠀⠀⠒⠀⠀⠀⠀⢘⣁⣀⡖⣤⣆⢳⡀⠀⡞⣵⡌⣷⠀⠺⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠉⠃⠀⠉⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠄
⠀⠀⠀⠀⠀⠀⠀⠀⣠⢄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠍⢱⡀
⠀⠀⠀⠀⠀⠀⣀⠀⠷⠀⣈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡅
⠀⠀⠀⠀⡐⠀⠀⠀⠁⠀⠀⠠⠀⡅⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠴⣰⣧⠤⠀⢀⡀
⠀⣄⣀⣒⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⡀⠀⠀⠀⢀⠔⠈⣀⣤⡀⠀⠀⠀⠀⠀⢀⠈⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⣠⠄⠒⠀⠈⡿⠉⠀⠢⠀⣀⡠⠆
⠀⠉⣨⢿⠍⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⡁⠀⠀⠀⠀⠀⣴⠋⠀⢹⠂⠀⠀⣶⠋⠉⣳⠄⠀⠃⠀⠀⠀⠀⣠⠐⣛⣛⠚⠀⢠⡔⠓⠂⣂⣉⠈⠙⣧
⠀⠰⡌⠷⢤⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠰⡀⠈⠳⠚⠃⠀⠀⠀⠙⠶⠖⠃⢀⣤⠂⠀⠀⢠⡤⢛⣾⢛⣏⢻⡆⠀⢠⣶⠟⣉⠛⣷⠀⣿
⠀⠀⠀⠀⠀⠀⠈⠐⠢⠐⠒⠢⠀⠀⠀⠤⣾⣅⠀⠀⠀⠀⠈⠐⠂⠤⣄⠀⠀⢀⣀⣀⣠⣤⣾⡙⣦⠀⠀⠈⠒⠚⠻⣼⣳⡼⠛⠛⠉⠻⣎⣻⣨⠋⠋⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⣛⢧⠁⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠠
⠀⠀⠀⢀⠂⠀⠀⢀⡀⠀⠀⠀⠀⠀⠐⠂⠰⠶⠆⠀⠀⠀⠀⠀⠂⠀⡀⠆⠀⠀⠀⠀⡎⠀⠀⠈⠍⠭
⠀⠀⠘⠀⠝⠀⠀⠃⠈⠂⠀⠀⠀⠀⠧⠀⠒⠰⠆⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⠀⠀⠀⠐⢶⠆⠂
⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠂⠘⠀⠀⠰⠀⠆⠀⠀⠀⠀⠀⠂⠀⠀⠐⠀⠀⠀⠀⣒⡈⠀⠀⠀⠀⣀⡀⠀⠒⠂⣾⣷⣶⠒⠠
⠀⠐⠚⠟⠐⠿⠉⠙⠟⠀⠿⠃⠀⠀⠐⠠⠀⠀⠐⠠⠋⠀⠀⠘⠁⠜⠀⠀⠀⠈⠁⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴
⠀⠀⢠⠀⡔⡀⢈⢠⠠⠄⠄⢀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠂⠉⠐⠀⠀⠀⠀⠐⠂⡐⣆⠀⠂
⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠁⠈⠀⠀⡀⡀⣇⠀⡀⠀⠀⠀⠨⠠⠠⠠⠠⠠⠉⠀⠀⠀⠀⡀⠁⠈⠈⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠂⢀
⠀⠀⠉⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⠀⠠⠀⢀⣀⠀⠀⠀⠀⡼⢓⢯⠀⢨⣖⡒⡄
⠀⠀⡤⢤⡜⠓⠶⠒⠶⠒⠒⠒⠒⠒⠲⠒⠂⠀⠀⠀⠉⠀⠃⠀⠀⠃⠈⠃⠀⠀⠀⠣⡈⠜⠀⠘⠮⡡⠎
⠀⠀⠀⠀⠀⠀⠐⠈⠀⠀⠀⠀⠀⠀⠀⠂

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣼⡽⠗⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⢦⣏⢦⡑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣔⣲⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠐⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⡀⣼⣤⣄⠤⣤⡀⠠⣄
⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⡤⠾⠟⠛⠋⠋⠁⠀⠀⠀⢹⠀⠀⠀⠁⠈⠉⠛⠀⠚⠻⠧⢴⣦⠀⣀⡀
⠀⠀⠀⠀⠀⠀⡔⠁⠀⠀⠀⠀⠀⠀⢠⡦⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣼⣤⣤⣤⣤⣤⣤⣄⣀⣀⡀⠀⠀⠀⠈⠓⠿⢄⣤⣄
⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⣠⠔⠁⠀⠀⠀⠀⠀⠀⣀⣠⣴⠖⠚⠋⠉⠉⠀⢸⠀⠀⠀⠀⠀⠀⠁⠉⠙⠛⠳⢶⣦⡄⢀⡀⠀⠈⠑⠃⣀⢄
⠀⠀⠀⢀⠎⠐⠀⠀⠀⠠⢀⠜⠀⠀⠀⠀⠀⠀⢀⡴⠋⠉⠀⠀⠀⠀⢀⣀⣀⣠⣿⡤⠤⠶⠶⠦⢴⣤⣤⣤⣀⡀⠀⠈⠉⠛⠥⢄⠠⡀⠀⠈⠙⢤
⠀⠀⠀⡞⠀⠀⠀⠀⠀⢠⠋⠈⠀⠀⠀⢀⠀⡴⡁⡀⠀⠀⠀⠀⡠⠞⠛⠉⠁⠀⣸⡐⠂⠀⠀⢢⣀⣀⡀⠀⠀⠉⠛⠳⠶⣤⡀⠀⠙⢁⡠⠄⠄⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠄⠋⠀⣀⡀⠀⠁⢀⣮⠤⠖⠒⠦⠈⠠⢊⠀⢀⢄⡔⠚⠉⢹⣑⣦⣴⣦⢾⣬⣍⣉⣙⠓⠲⠤⣀⡀⠀⠀⠀⠀⠏
⠀⠀⠀⠀⣀⠀⠀⠸⠃⠃⠶⡀⠀⠠⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠉⠓⡿⠄⠶⠾⡿⢯⠽⢻⣟⣯⣽⡷⡄⠠⠀⠆⢀⠀⠀⠐⡀
⠀⠀⠀⠄⢿⠇⠃⠀⠀⠤⠀⠠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠇⠀⠀⠤⠃⠀⠀⣬⢻⣆⠀⡀⠀⢰⠄⠀⢸⠀⠀⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢻⡟⠃⠁⠀⢑⣿⡞⠀⠀⠀⠀⠀⠈⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠌⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠈⠉⠉⠹⠉⠉⠈⠀⡏⠀⠀⠀⠀⠀⠀⠚⣹⣇⡀⠀⠀⠀⠀⠀⠘⣄⣀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⣘⠛⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⣂⠀⠀⠀⠀⠀⠀⠀⠀⣧⢰⠀⠀⠀⠀⠀⠀⠙⠆⠁⠀⠀⠀⠀⠀⠀⠁⠴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠉⠀⠀⠀⡀⠤⠐⠀⠁⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠟⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⢂⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡁⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡁⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡁⠀⠈⠀⠀⠀⠠⠀⠀⠉⠀⠀⠀⠀⠀⠀⠠⠀⡠⠤⠤⠀⠠⠄
⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⡤⠀⠀⠀⠀⠀⠀⠀⠀⢀⡁⠀⠙⢁⠀⠀⠴⠀⠀⠀⠀⠀⠀⠀⠀⢀⢐
⠆⠀⠀⠀⠀⠀⠀⠐⠗⠀⠐⠚⠂⠀⠀⠀⠃⢤⡤⠤⠀⠡⠤⠀⣀⣀⠤⡀⠓⠘⠋⣥⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈
⡆⠀⠀⣀⢀⠐⠂⠀⠴⠀⠀⠀⠀⠀⠀⠀⠆⠘⠀⣀⣠⣴⢾⠽⠟⠋⠐⠀⣀⡤⠠⠶⠘⠟⠛⠛⠀⠀⢰⣾
⠀⠀⠀⡀⢀⡀⠀⠀⠀⠀⠉⠀⠀⠀⠀⣦⣷⣾⢿⠻⠋⠈⠀⢀⡀⠄⢂⠉⢀⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⢀
⡄⠀⠀⠀⢈⠀⠀⠀⠀⠁⠀⠀⣰⡾⠿⠛⢉⠀⡔⠤⠒⠊⠀⠀⠂⠀⠁⠀⠀⠀⠀⢀⡆⠠⠀⠀⠀⠀⠈⢡⠘⡀⠀⠉⠉⠘⠃
⡀⠐⠀⠀⠐⠀⠁⠀⢠⡄⡄⠛⠁⠤⠐⠈⠋⠁⠀⠀⠊⠀⠂⡀⠀⠀⠀⢾⢷⡆⡀⠘⠃⠀⠠⡀⠀⠀⠀⠀⠃
⠂⠀⠀⠀⢀⣤⣴⣸⡯⠞⡂⠉⠀⠀⠀⢠⠀⠁⠀⠀⠰⠖⢻⢹⠀⠀⠀⢸⣸⠃⠀⠀⠀⠀⠀⠁⠒⠒⠒⠒⠂⠀⠑⠒⠒⠒⠒⠀⠄
⠀⠀⢀⡩⢛⠋⠁⠀⢀⣀⡄⢰⡦⠠⠄⠀⠀⠀⠀⠀⠠⠇⠒⠚⠀⠀⠀⠘⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⡄⠀⣉⡉⠀⠀⢠⠖⠂
⠴⠋⣁⡈⠴⠀⢚⡏⠹⡏⠁⢸⡇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠆⠀⠀⠀⡀
⠀⠠⣷⠇⠵⠀⠠⠧⠶⠧⠄⠺⠇⠘⠋⠀⢀⠀⣠⠀⠀⠀⠀⠀⠀⠤⠀⠐⠚⠁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠠
⠒⠂⠀⠀⠀⠛⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⢠⡄⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⢐
⢦⠄⠄⠀⠀⣶⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠐⠶⠃⠘⠃⠘⠃⠀⠂⢀⠄⠀⢀⠀⡀⠀⠀⠈⠀⠀⠀⠈
⣿⣷⡷⣶⣶⣶⣦⣤⣤⣤⣴⠶⠦⠤⣤⣤⣬⣏⣛⣀⡀⢀⡀⠀⠀⠐⠓⠐⠀⠀⠀⠁⠀⠀⠀⠀⢄⣀⣤⣭⠀⢋⡀⠀⠀⡀⠁⢦⡀⠄⡀
⣈⡉⠙⠛⠻⢿⣿⣿⣿⣷⣏⣁⡀⠀⠀⢠⢠⡿⠹⣋⣿⡟⢿⣿⣿⣿⣾⣗⣶⣶⡀⠀⠀⠀⠀⠀⠀⣰⢋⣍⡀⣀⠼⣿⣶⣷⣾⣯⣴⡻
⠀⠀⠉⠐⠂⠄⢀⠈⠉⠛⠻⠿⣿⣿⣶⣦⣬⣇⣀⠀⣯⡰⢲⡌⣉⣀⢉⠛⣏⡞⢻⠄⠀⠀⠀⠀⠀⠿⢳⠾⡷⢛⣷⣿⣷⣿⣛⡟⠃⠎
⠀⠰⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠉⠛⠛⠿⢿⣿⣿⣿⣾⣤⣀⡀⣠⣶⡿⡃⢹⢛⡀⠀⠀⠀⠀⠀⢣⢞⡽⡯⣻⣿⣷⣶⡿⣿⡄
⠀⠀⠀⠀⠈⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠉⠙⠛⠿⢿⣿⣾⣿⣷⣿⢿⣿⣷⣄⣀⡀⠀⠀⠀⠊⠞⠘⠙⠻⠛⠛⠓⠚⠻⠇⡠
⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⡋⠛⠒⠲⠤⠤⣥⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠿⢿⣻⣿⣶⣶⣦⣤⣍⣉⡛⠒⠶⠤⢤⣀⣈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⢿⣽⣛⡯⢿⣗⣲⠤⣤⣈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⡀⠀⢀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⢲⠭⣭⣓⡲
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣀⣀⣠⣄⣀⣀⣀⣀⣀⣀⣀⣀⣈⣉
⣿⣿⡟⠙⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠛⠋⠉⠛⠲⢦⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⣀⣀⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⣠⡤⣄⡀⠀⠀⠀⠀⠈⠖⠋⠁⠀⠀⠉⠳⣄
⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠎⠀⠀⠀⠁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆
⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠎⠀⢷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠶⠖⠛⠒⠲⠦⣄⡀⠀⠀⠱⡄⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⢹⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢁⣀⣄⣀⣀⣠⣴⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣀⠀⠀⠀⠙⡄
⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠈⢿⠿⠯⠭⢭⣍⣻⡟⠁⠀⠀⠀⢀⡠⠀⠀⡀⠀⠀⠀⠀⠈⠣⠢⡄⠀⠓⢦
⠀⠀⠀⠀⠀⠀⠀⣿⣛⣿⣹⠘⣆⠀⠀⣼⣿⡏⠀⠐⠲⠶⠚⠉⠙⠒⠛⠥⣤⡤⠖⣀⠀⢀⡀⠁⢄⡀⠈⠳⡀
⠀⠀⠀⠀⠀⣠⠴⠟⠻⠯⣽⠄⢿⢦⣾⣿⣿⠀⣰⣷⠀⢀⣠⣴⠶⠶⣶⣤⣤⣄⣀⠈⠉⠉⠑⠦⠤⠄⠴⠤⠸⡦⡀⡀
⠀⠀⠀⢀⡞⣡⠖⠒⠀⠀⠈⢳⡄⠀⠀⠀⠈⠉⠉⠙⠐⠚⠃⠤⠤⢤⡀⣙⣷⡒⡉⠛⠳⣦⣤⣀⣤⣄⡀⠀⠀⠈⠉⠁
⠀⠀⠀⣾⣼⣵⠛⠓⠀⠀⠀⠀⢻⠀⠀⠀⠈⡄⠀⠀⠀⢰⡀⠀⠐⡀⢣⠀⠈⣶⡏⣿⠙⣿⢛⣛⠛⠛⠿⠷⠶⣦⣀⡀
⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⢸⣶⣶⣶⣶⣼⣤⣤⣤⣼⣧⣤⣤⣧⣸⣀⡀⠛⠃⠛⠀⣿⠸⣿⠀⣿⡇⢸⡆⣶⠀⠆
⠀⠀⠀⢿⣿⡻⣄⡠⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠀⠀⠀⣿⠛⠛⠒⠊⠀⠀⠀⠈⠀⡯⠁
⠀⠀⠀⠈⢿⣷⡤⠤⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣀⣀⣠⣿⣭⣭⣭⣭⣤⣤⣴⣶⣶⡖
⠀⠀⠀⠀⣸⣿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣯⣭⣿⣿⣶⣶⣶⣶⣿⣿⡿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠁
⠀⢀⣤⣾⣏⣀⣀⣀⣀⣀⣀⣸⣃⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠟⠛⠁
⠀⣟⠙⣶⡄⠀⠀⠀⠀⠀⠀⡏⢹⣦⣽⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⡿⠃
⢀⣿⣿⣭⣥⢀⣤⣤⣤⣤⣤⣽⣯⣭⣼⣿⣿⣟⠛⠙⢻⣿⣿⣿⣿⡿⠛⠛⠛⠁
⣿⢹⢸⠁⣿⣸⡏⣸⣿⢹⣿⢹⣿⢹⣿⣿⣿⣿⣶⣾⣿⠉⠛⠛⠋
⠻⣾⣸⠀⣿⣿⢀⣿⡇⣾⡏⣼⣿⣸⣿⡿⠿⠟⠛⠉⠁
⠀⠈⠻⣼⣿⣯⣼⡿⠷⠟⠛⠛⠉⠉
⠀⠀⠀⠈⠉⠁

⠀⠀⠀⠀⠀⠄⣄⢄⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⢀⣀⣀⣀⠀⠀⢀⣈⣩⣀⣁⠀⠀⣀⡀
⠀⠀⠀⠀⡀⣰⡀⠶⣤⠀⡴⡄⠀⠀⠀⠀⠀⢀⣠⣾⣛⣛⣰⣴⣾⣛⣛⣰⣚⣻⣛⣒⣆⣒⣚⣛⡀⠀⠀⠀⠀⡀
⠀⠀⣏⡱⢦⠒⠲⠶⠶⠿⠖⣾⡯⠖⢂⠈⠉⠀⠀⠀⠂⠀⠂⠀⠀⠀⠀⠀⠀⠐⠀⠀⠂⠀⠐⠀⠒
⠀⢙⣟⠁⠟⠀⠀⠀⠀⠀⣴⣿⠴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠉⠁⠀⠀⠁⠀⠁
⠀⠀⡀⠀⠀⠀⠀⢀⣰⢄⠏⢹⡜⡄
⠀⠘⠚⠛⠭⠙⠃⠍⠉⡸⠸⠘⡍⢌⠢
⠀⠀⠀⠀⠀⠀⠀⠀⠄⣷⣴⡄⠹⣿⣷⣄⠀⠀⠉⠁⠐⠒⠒⠒⠀⠀⠀⢀⣀⣀⠀⣀⣀⡀
⠀⠀⠀⠀⠀⠒⠂⡐⠐⣿⠚⣿⡠⡹⣿⣿⣷⡦⣌⠀⠀⡀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⢀⣀⢀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣛⣿⢧⡳⡙⢟⣍⠹⡾⣟⣦⣄⣀⠂⠀⡀
⠀⠀⠠⠄⠀⠀⡌⠀⠸⡿⡏⠙⣏⢆⡙⣄⠛⣷⣈⡫⣽⠿⢋⣛⡲⢦⣤⡀⠐⠒⠤⠄⢀
⠀⠀⠀⠀⠀⠐⠁⠀⠘⢇⢿⠛⠛⢎⢷⡈⠳⡌⠹⣵⣦⠙⠛⢭⣴⠷⠄⢉⣛⣶⣦⣤⣨⣄⡙⠂⣀⣄⣀⣤⣄⣀⣀
⠀⠀⠀⠀⠀⢄⠌⠀⠰⢦⢸⡿⠿⠛⣌⠳⣀⠘⢧⡀⠑⠛⠷⠂⣈⠑⠺⣟⠉⣉⣉⣨⣭⡉⢉⣽⣿⣾⣿⣯⣧⣝⣿⡝⠂
⠀⠀⠀⠀⠀⢣⡄⠁⠀⢘⠀⣇⢀⣀⣨⣆⠑⢶⡀⠱⢤⡈⠀⢙⠙⠁⢐⣧⣩⢍⣭⢤⣉⣥⣬⣩⠍⢥⣼⡿⠏⠉
⠀⠀⠀⠀⠸⠂⠐⠀⡀⠿⡀⠸⡛⠋⠉⠉⡄⠈⠣⣀⣀⠉⠢⢄⠀⠂⠉⠋⠏⢀⣤⣥⣒⠈⠭⠒⠒⠛⠁
⠀⠀⠀⠀⠀⣐⠉⡀⠂⢀⠥⠀⢣⣄⣤⢶⣶⣄⢄⠈⠣⡀⡁⠘⣑⣄⡀⡈⢀⡀⠀⠁⢁⠰⠿⠃
⠀⠀⠀⠀⠘⢀⠀⠃⠀⣉⠹⡆⠘⡏⠀⠈⠀⠤⢀⡑⣄⠨⠈⠦⠀⠀⠚⠂
⠀⠀⠀⠀⠋⡀⠐⠀⠈⢹⡀⣽⡀⠑⣖⣒⣨⠭⠭⠖⠈⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⠠⠐⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠊⠀⠀⠠⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠈⠁⠀⠀⣀⡀⢀⠐⠀⠀⠀⠀⢀⠁⠀⠀⠀⠀⠀⠀⠀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠰⠠⠀⠴⠠⠠⠠⠤⠄⠠⠍⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀
⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠂⠀⠊⠄⠀⠀⠀⠀⠀⠀⠬⠠⠆⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠐⠂⠀⠀⠬⠠⠠⠠⠠⠀⠤⠠⠤⠄⠄⠆⠠⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠄
⠀⠀⠀⠀⠈⠠⠀⠀⠠⠀⠈⠉⠉⠀⠀⠁⠁⠉⠈⠈⠉⠉⠉⠁⠁⠈⠈⠁⠀⠈⠀⠈⠁⠉⠁⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠒
⣀⣂⣐⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣁⣀⣀⣀⣀
⣿⣿⠋⠛⡛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠶⠤⠤⠦⠀⠀⠀⠀⠀⣠⠼⢃⡀⠀⠀⠀⠀⠀⠀⢠⡘⠳⣄⠀⠀⠀⠀⡖⠒⠒⠆⠀⠀⠀⠀⠀⢀⣠⠆
⠀⠀⠀⠀⣛⣛⣛⣋⠀⠀⠀⠀⠘⢧⠖⣋⣥⡄⠀⠀⠀⠀⠰⢦⣉⠳⠌⠁⠀⠀⠀⣏⣉⣉⣅⠀⠀⠀⠀⢘⡭⠴⢚⣃
⠀⠀⠀⠀⡯⠤⠬⠥⠀⠀⠀⠀⠀⠈⣯⠥⠤⡆⠀⠀⠀⣘⡛⠶⣬⠋⠀⠀⠀⠀⠀⠦⠤⠤⠦⠀⠀⠀⠀⠀⢲⣛⣩⠵⠄
⠀⠀⠀⠀⣛⣒⣒⡓⠀⠀⠀⠀⠀⢀⣒⠒⠒⠗⠀⠀⢠⣭⣉⣓⠆⠀⠀⠀⠀⠀⠀⡓⠒⢒⡓⠀⠀⠀⠀⠀⠈⠥⠶⢒⣃
⠀⠀⠀⠀⣭⠭⠭⡭⠀⠀⠀⠀⠀⠰⢭⣍⣙⠃⠀⠀⠶⠦⠤⣭⠁⠀⠀⠀⠀⠀⠀⣭⣉⣭⣍⠀⠀⠀⠀⠀⠀⢚⣉⣭⣭⠄
⠀⠀⠀⠀⣗⠒⠒⡒⠀⠀⠀⠀⢤⣙⠲⢤⡍⠀⠀⠀⢻⠒⠒⣒⠀⠀⠀⠀⠀⠀⠀⠶⠶⠶⠦⠀⠀⠀⠀⠀⠀⠨⠶⠖⢚⡂
⠀⠀⠀⠀⣭⣭⣭⣍⠀⠀⠀⠰⠦⣬⣙⠆⠀⠀⠀⠀⢙⣉⣩⣭⠀⠀⠀⠀⠀⠀⠀⣛⣛⣛⣓⠀⠀⠀⠀⠀⠀⠀⣋⣉⣭⡅
⠀⠀⠀⠀⡶⠒⠒⠖⠀⠀⢀⣛⠓⠶⠏⠀⠀⠀⠀⠀⠈⣥⠴⠖⣃⠀⠀⠀⠀⠀⠀⣭⣭⣭⡭⠀⠀⠀⠀⠀⠀⠀⠶⠶⠖⠖
⠀⠀⠀⠀⣯⣍⣍⣍⠀⠀⢨⣭⣉⣹⡁⠀⠀⠀⠀⠀⠀⠰⠞⣋⡽⠆⠀⠀⠀⠀⠀⢠⡴⠖⣻⢄⢀⠀⠀⠀⠀⠀⣹⣉⣉⣭
⠀⠀⠀⠀⠶⠶⠶⠶⠀⠀⠠⡦⠶⠶⡂⠀⠀⠀⠀⠀⠀⠀⠛⣩⡴⢋⡤⠀⠀⠀⠀⠀⠰⠞⢡⠏⣼⠀⠀⠀⠀⠀⠰⠶⠶⠶
⠀⠀⠀⠀⠛⠉⠉⠋⠀⠀⠀⠖⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠛⠐⠿⠀⠀⠀⠀⠀⠘⠉⠉⠙

⠀⠀⠀⠬⠤⠀⠀⠀⠀⠀⡠⣔⣞⣘⣸⢲⡠⡀⠀⠀⠀⠀⢸⣼⠀⠀⠀⠀⡲⡠⡀
⠀⠀⠀⣚⡇⠀⠀⠀⢀⢔⡕⠉⠀⠀⠀⠀⠙⢾⡣⠀⠀⠀⠘⣦⡄⠀⠀⠀⠈⠙⢾⡣⡀
⠀⠀⢠⣭⠅⠀⠀⠀⠽⡟⠀⠀⠀⠀⠀⠀⠀⠀⣮⣃⠀⠀⠀⠑⢝⣆⡀⠀⠀⠀⠀⠻⠒
⠀⠀⢐⣒⡀⠀⠀⠀⣛⣃⠀⠀⠀⠀⠀⠀⠀⠀⣯⠍⠀⠀⠀⠀⠈⠛⢝⣆⢤⡀
⠀⠀⠈⣝⡂⠀⠀⠀⠈⣓⢦⡀⠀⠀⠀⠀⣀⢮⡗⠁⠀⠀⣀⡀⠀⠀⠀⠈⠙⠪⣦⣦⡀
⠀⠀⠀⣲⣥⠀⠀⠀⠀⠀⠑⠏⢧⢲⢲⡴⠱⠃⠀⠀⠀⠀⠦⠆⠀⠀⠀⠀⠀⠀⠈⠫⡪⣂
⠀⠀⠀⢒⣒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣭⠅⠀⠀⠀⠀⠀⠀⠀⠀⠈⢾⡣
⠀⠀⠀⣭⡅⠀⠀⠀⠀⠀⠀⠀⠀⠿⠼⠧⢟⢔⡀⠀⠀⠀⠨⢕⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢍⣃
⠀⠀⠠⠷⠂⠀⠀⣀⣀⣀⣀⢀⡀⣀⣀⣀⣠⣕⡂⠀⠀⠀⠀⠱⢟⢆⢄⣀⢀⡀⡀⠀⠀⠀⢸⣑
⠀⠀⠈⠉⠁⠀⠀⠇⠻⠓⠿⠀⠇⠸⠇⠻⠐⠉⠀⠀⠀⠀⠀⠀⠀⠉⠃⠿⠸⠃⠇⠀⠀⠀⠀⠉⠁

⠀⠀⠀⠀⡀⡀⢀⢀⢀⡀⡀⣀⢀⢀⢀⡀⡀⣀⢀⢀⠀⡀⡀⣀⢀⢀⡀⡀⡀⢀⢀⢀⡀⡀⣀⢀⢀⢀⡀⡀⣀⢀⢀⡀⡀⡀⣀⢀⢀⡀⡀⡀
⠀⠀⠀⠀⡇⡏⢹⢸⢸⡇⡇⣯⢸⢸⢸⡇⡇⣿⢸⢸⠉⡇⡇⣿⢸⢸⡇⡇⡇⢹⢸⢸⡇⡇⡏⢸⢸⠈⡇⡇⣿⢸⢸⠉⡇⡇⣿⢸⢸⡇⡇⡏
⠀⠀⠀⠀⠁⠉⠉⠈⠈⠁⠁⠉⠉⠈⠉⠁⠁⠉⠈⠈⠉⠁⠁⠉⠈⠈⠁⠁⠉⠉⠈⠈⠁⠁⠉⠈⠈⠉⠁⠁⠉⠈⠈⠉⠁⠁⠉⠈⠈⠁⠁⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢀⡀⣀⣠⢀⢀⡄⡀⣠⢠⢀⡀⡄⣀⢠⢀⡄⡄⣀⢠⢀⡀⡄⣀⢠⢀⡀⡄⣀⢠⢀⡀⡄⣀⢀⢀⡀⡄⣄
⠀⠀⠀⠀⠀⠀⠀⠀⢠⡔⣆⢻⢸⣄⡇⣇⣸⢸⣀⡇⣇⣸⢸⣐⡇⣇⣿⢸⢸⡇⡇⣿⢸⢸⡇⡇⣿⢸⢸⡆⡇⣗⢸⢸⣇⡇⣇⣸⢸⣀⡇⣇
⠀⠀⠀⠀⠀⠀⢠⣜⠣⡙⠜⠊⠁⠁
⠀⠀⠀⠀⠀⣘⡳⢬⡓⠁⠀⠀⠀⠀⠀⣠⠠⡄⣤⢠⢠⡄⡤⢤⢠⡄⡄⣤⢠⢠⡄⡤⢤⢠⡄⡄⣤⠀⠀⠀⠀⠀⠀⣀⠠⡄⣤⢠⢠⡤⡄⡤
⠀⠀⠀⠀⠠⠮⢭⡟⠀⠀⠀⠀⢀⡘⠳⡘⣆⡇⣿⢸⢠⡇⡇⣸⢸⡇⡇⣿⢸⢠⡇⣧⢸⢸⡇⡇⣿⠀⠀⠀⠠⢆⠻⡜⣆⡇⣿⢸⢸⡄⡇⡇
⠀⠀⠀⠀⢘⣛⣒⡂⠀⠀⠀⠀⢨⣭⣓⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣙⢮⡓⠉
⠀⠀⠀⠀⠰⠶⠶⠄⠀⠀⠀⠀⠠⡶⢚⡧⣄⡀⣀⢀⢀⡀⡀⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⠬⠍
⠀⠀⠀⠀⢬⣭⣭⠁⠀⠀⠀⠀⠀⠘⠋⣼⢁⡇⣟⢸⢸⡇⡇⣾⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢭⣉⡁⠀⠀⣍⣉⣍⠀⠀⢔⣚⣡
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠈⠀⠀⠁⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢍⡒⠦⠀⠀⠀⠶⠶⠖⠀⠀⣸⡒⠶
⠀⠀⠀⠀⡄⡤⢤⢠⠤⡄⡄⣤⢠⢠⡄⡄⣤⢠⢠⠤⡄⡤⢤⢠⢠⡄⡄⣤⢠⢠⡄⡄⡤⢤⢠⢰⡺⡜⢦⠙⠀⠀⠀⠀⣭⣭⣍⠀⠀⠳⢬⡝
⠀⠀⠀⠀⡇⡧⢼⢸⠠⡇⡇⣿⢸⢸⡇⡇⣿⢸⢸⡄⡇⡇⣼⢸⢸⡇⡇⣿⢸⢸⡇⡇⡇⢸⢸⡆⠷⠙

⠀⠀⠀⠀⠀⢀⣀⣀⡀⣀⡀⣀⣀⢀⣀⣀⡀⡀⣀⣀⣀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⣀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡠⢄
⠀⠀⠀⢀⡠⣡⡱⣡⡱⣵⡸⡼⡬⣸⡜⣇⣅⢃⢇⢧⣇⢇⢎⢎⢎⢌⣌⣄⡀⠀⠀⠸⡅⠡⠳⠤⣀⡀⠀⠀⠀⡀⣀⡠⠞⠁⢌⡧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢶⠤⣨⢊⡜⣼⢸⠈⡌⣮⠢⣱⢴⠊⠁
⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡦⠠⠦⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⠀⠋⠘⠁⠛⠈⠃⠈
⠀⠀⠀⠀⠀⢀⡗⣈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠏⠁⠄⣷⠀⠀⠘⣆⠂⢢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⡠⠤⣀
⠀⠀⠀⠀⠀⣸⠀⠀⣗⠀⠀⠀⠀⠀⠀⠀⣀⠶⢋⡮⠁⣰⡃⠀⠀⠀⠀⢳⢆⡠⠍⠦⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠥⢄⣘⣆
⠀⠀⠀⠀⣐⣟⣒⣒⣺⣂⠀⠀⠠⣄⣖⠺⠭⣑⡒⢦⠽⡍⠀⠀⠀⠀⠀⠀⠀⢉⡯⣭⠭⠼⠖⢲⣀⡀⠀⠀⠠⠘⠻⢦⣌⠙⠒⡾⢤⡀
⠀⠀⠀⠐⢲⠗⠶⠖⠶⡷⠂⠀⠀⠀⠈⠙⢳⡦⣞⡉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠲⣋⣉⣥⠤⠷⠶⠀⠀⠀⠀⠀⠉⢻⣾⣥⡀
⠀⠀⠀⡈⣿⣙⣛⡛⠋⢻⠛⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⢄⡀⠀⠀⠉⠙⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠀⠙⠃
⠀⠀⠈⢉⡏⠉⠉⠉⠉⠹⡏⠁⠀⠀⠀⠀⢀⣀⡀⡀⡀⣀⢀⠤⡠⢒⠁⡠⢁⡿⠄⠀⠀⠀⠀⠀⠀⣀⡠⠤⢀⠠⠀⠀⠁
⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠃⠀⠀⠀⣀⡴⣡⡎⣸⠁⣇⢘⣆⠳⣌⠦⢕⠚⠍⠀⠀⠀⠀⠀⠀⢠⠊⢁⠀⠰⡏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⠃⠈⠋⠀⠛⠀⠙⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠨⠽⡤⠒⣒⣀⡭⠷⢴⣀⣠
⠀⠀⠀⠀⣠⠀⣤⢠⡄⢠⡀⣠⠀⣤⢠⡄⢠⡀⣤⠀⠀⠀⠀⠀⠤⣴⢠⣆⣠⠀⠀⠀⠀⠀⠀⠒⠛⢯⣁⣤⡴⠖⠛⠉⠉⠒
⠀⠀⠀⠀⢹⠀⣿⠘⡇⢸⠇⣼⠀⣟⢸⡇⢸⠁⣿⠀⠀⠀⠀⠀⠀⡟⢸⢠⠏⡼⢣⡆⣀⠀⠀⠀⠘⠛⠉⠳⣄⡀
⠀⠀⠀⠀⢾⠀⣿⠸⡇⢼⠇⢾⠀⡷⠸⡇⢸⠆⣿⠀⠀⠀⠀⠀⠉⠃⠛⠞⡼⣡⢋⡴⢋⡴⢀⠀⠀⠀⠀⠀⠀⠁⠀⢀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢫⠔⣩⠔⢋⡤⠀⠀⠀⠀⠀⠀⢠⠯⠤⠬⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⢠⡀⢄⠠⣔⢴⡲⣄⠀⠀⠀⠀⠀⠀⠈⢷⣊⡩⠴⠂⠀⠀⠀⠀⣀⣾⣀⣀⣀⣸⣀⡀
⠀⠀⠀⠀⠀⠀⣠⠀⣦⠐⡆⠸⡆⢹⡌⢳⡈⢧⠙⣆⡱⣌⠳⠝⠚⠙⠀⠀⠀⠀⠀⠀⠨⠷⠖⣚⣋⡀⠀⠀⠤⣼⠧⠤⠤⠤⠤⢷⠤⠄
⠀⠀⠀⠀⠀⠀⣿⠀⣿⠀⣿⣀⣿⠠⢷⡒⠳⠈⠛⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⠭⠭⢭⠄⠀⠀⢠⡏⠀⠀⠀⠀⠀⠘⣇
⠀⠀⠀⠀⠠⢤⡷⠒⣿⠉⠹⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢚⠒⠒⠚⠂
⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⡀⢠⠀⡄⢰⢀⡆⣠⠀⠀⠀⠀⠀⡶⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⢶
⠀⠀⠀⠀⡄⢤⢠⢠⡄⡆⢦⢰⡘⡇⢳⠸⡄⣧⢸⠀⡇⡟⠀⠀⠀⢠⡞⡰⢡⠏⡟⡾⠴⢠⢠⢠⣠⣄⡄⡄⡆⠦⢷⢻⡹⡌⢆⢳⡔
⠀⠀⠀⢠⡇⡟⢸⠀⡇⢷⠸⡄⣇⢹⡘⡆⠷⠺⠸⠀⠃⠇⠀⠀⠀⠀⠘⠁⠟⡼⢴⣃⡇⡞⢸⢸⢸⡇⡇⣧⢱⢸⡘⣆⢷⠹⠈⠁
⠀⠀⠀⠸⠃⠗⠸⠀⠇⠘⠀⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠃⠛⠸⠸⠃⠗⠛⠘⠉⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠄⣐⠒⠒⠀⠀⢠⡄⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠂⠀⢀
⠀⠀⠀⠀⠀⠀⠀⢐⠦⢛⡀⢓⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⣘⣁⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠁⢠⢾⡉⠓⡄⢀
⢇⠀⠀⡠⠄⠀⠀⡀⡄⢚⡉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠱⠆⠀⠀⠀⠀⡖⠄⡁⠀⠀⠀⠀⠸⠤⠤⠴⠁⠀⢁
⢸⣷⡞⠀⠀⠂⠑⠁⠀⠀⠀⣈⣉⣀⠖⠀⠀⠀⠀⠀⠀⠀⠠⠀⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⡎⠀⠄
⠀⠀⢅⠀⠀⠀⠈⠈⠛⠻⣿⡩⠍⠀⠀⠀⠀⢀⡰⢆⡄⠀⠠⣆⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠒⠒⠋⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠁⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣯⢧⡀
⠀⠀⠀⠀⠀⠀⠃⠤⠖⠒⢦⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠉⢹⠀⠀⢠⠀⠀⠀⠀⠀⡆
⠀⠀⠀⠀⠀⠀⠄⢀⣀⣀⣸⠀⠇⠀⠀⠀⠀⠀⠂⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠤⢸⠀⠀⣀⣶⡀⠀⠀⠀⡇
⠀⠨⠀⣠⣤⣤⡁⠀⢀⣤⣤⡀⡀⠀⠀⢀⡴⠀⠀⠙⠃⠀⠈⢀⣄⠀⡀⠀⠀⡀⠀⠀⠀⡟⠀⠀⢸⠀⠀⠉⠿⠉⠀⠀⠀⣇
⠀⠰⠄⠺⣘⡪⠷⠴⢯⣒⡾⠳⠂⠀⠀⠘⠄⠀⠰⣾⡧⠈⠠⠃⣺⡧⠂⠀⠠⠀⠀⠀⠀⠒⠀⡢⣬⡐⡄⠀⣴⣩⡑⡤⠤⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⠓⠀⠀⠀⠻⠃⠀⠈

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠟⠓
⠀⠀⠀⠀⠀⠀⣎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⡇
⠀⠀⠀⠀⠈⠀⠠⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣨⣇⣀
⣄⣀⣊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⢀⡀⠀⠀⠀⢀⠀⡁⠀⢄⠀⠀⠀⠀⠀⠀⢀⡠⠐⠀⠀⡖⠀⠐⠄⣀
⠈⣸⠷⠀⠀⠈⠉⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠠⢌⠁⢈⡇⠀⢀⡎⠉⢱⠄⠀⠆⠀⠀⠀⣠⢐⣛⣛⠁⠀⠖⠁⣀⣈⡀⠈
⠐⠈⠓⠶⠀⢀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠄⠀⠋⠉⠀⠀⠀⠉⠒⠉⢠⣶⠀⠀⠀⣖⣋⡿⢽⡌⣷⣀⣠⣿⢹⡬⢽⣄
⠀⠀⠀⠀⠀⠀⠑⠠⠀⠉⠉⠈⠉⠗⠂⠀⠀⠀⠀⠀⠁⠒⠂⠀⠀⠀⠖⠚⢿⡎⠇⠀⠀⠀⠀⠙⠳⠚⠁⠀⠀⠈⠓⠓⠋

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠎⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠴⡶⠀⠀⢀⣴⡄⣠⣤⢀⣸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠃⠀⢸⠀⠀⠀⣀⡄⠀⢀⡀⡄⢀⣀⣀⣀⣀⠀⠀⠈⠉⠉⠀⠘⠻⠄
⠀⠀⠀⠀⠀⠀⠀⣠⠖⠁⠀⠀⠀⠀⠀⢸⠀⠀⠍⡏⢱⣠⣴⣷⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣦⣴⠄⣠⣄
⠀⠀⠀⠀⠀⠠⠞⠁⠀⠀⠀⠀⠀⡀⠸⢻⠀⠀⠀⡇⢸⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢹⡇⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⢸⠀⣠⣶⠷⣾⠿⠻⠿⠄⠘⠛⠛⢻⣿⡿⠿⠿⠿⠿⡿⠿⠶⠼⠷⢤⡄⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠛⠛⢰⡏⠁⠐⣶⣦⣄⠀⠀⠀⠀⠀⠀⡀⠠⠀⢀⣠⣤⣤⣌⣛⣛⣀⣀⣀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⢸⡧⠴⠶⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⡄⣿⢀⣄⠀⢸⡇⠐⠒⣿⣿⡧⠿⠀⢀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣤⡄⣤⣿⡇⣿⠘⠛⠀⠘⣷⠶⡾⠋⠀⠀⠀⠠⠄⠀⠁⠂⢀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈
⠀⠀⠀⠀⠀⢸⣿⣷⣶⣶⣶⣶⣶⣿⣧⣻⣶⣶⣶⣶⣶⡞⣰⣿⣿⣷⡀⠀⢰⡟⠛⣿⠛⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣻⡟⣶
⠀⠀⠀⠀⠰⢾⣿⣿⣯⠻⣿⣿⣿⠋⢻⡯⠭⣭⣿⣿⣿⣰⡿⣋⣉⣻⣷⠀⠈⠁⠛⠛⠛⠉⠀⠸⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢈⠉⠉⠉⠉
⠀⠀⠀⠀⠀⠸⡇⣿⡃⣿⣿⣿⣿⣄⣸⣇⣀⣏⠀⢼⣿⣿⣿⠿⠟⣿⡟⣷⠒⠒⠒⠒⠒⠒⠛⠒⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠉⠉⠙⠛⠻⠷
⠀⠀⠀⠀⠀⠤⠿⠿⣷⣿⣿⣿⣿⣿⣿⣭⣍⣛⣻⣿⣿⣿⣿⣷⣆⠤⡇⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠿⠿⣿⣿⣿⣿⣿⣿⠿⣡⣦⡇⣾⣤⣤⣤⣤⣤⣤⣤⠄⠀⠐⠀⠒⠒⣶⣶⣶⣶⣶⣶⣿⣿⠏⠉⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠛⠛⠻⢻⡿⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣼⣿⣿⣿⣿⣿⣿⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠼⣿⣷⣾⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠓⠂

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠠⠤⠤⠤⠀⠀⠀⠀⠰⠦⢀⡀
⠀⠀⠀⣀⡀⠀⠀⠀⢀⣀⣤⣬⣥⣤⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⠀⢉⣳⣿⣷⢦⣄⡤⠤⠤⢤⣀
⠀⠀⠎⣿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠟⠀⣼⡟⠉⠹⡆⠀⠉⠛⠻⢅⣈⠙⠢⢄⡀
⠀⠀⣦⡏⠀⠀⢀⡟⡿⣿⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡇⢠⠀⠈⠐⠢⢤⣀⠀⠈⠉⠒⠶⣤⣷⣦
⠀⠈⠛⠃⠀⠀⢸⡌⡇⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⢹⣷⡆⠀⠀⠘⡌⠉⠒⡦⠤⣀⠈⠙⠂⠤⡀
⠀⠀⠀⠀⠀⠀⡿⡇⡇⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢀⠀⢸⢿⡇⠀⠀⠀⣧⠀⠀⢸⠀⠈⡇⠑⡖⢤⣬
⠀⠀⠀⠀⠀⢀⣦⣇⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⣄⠘⡇⠤⠄⣀⣈⣀⡀⠈⡄⠀⠠⠀⢸⠀⢙⡄
⠀⠀⠀⠀⠀⢸⠃⠀⠙⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠁⢸⠀⢻⠀⡇⠀⠀⠀⠀⠀⠀⠉⠁⠀⡀⠀⠈⢤⣿⡇
⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⢀⣀⠀⡀⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠘⡀⡇⠀⠀⠀⠀⠀⠀⠠⠆⣠⡀⠀⠠⠾⣿⡇
⠀⠀⠀⠀⠀⢸⣤⣀⣠⣤⣬⣤⣤⣤⠄⣤⡤⠠⠶⢶⡶⠶⣀⣀⣠⣤⣴⣶⣿⡀⠀⠇⡇⢂⣀⣀⡤⠤⠤⠤⠶⠶⠒⠚⠛⠻⣿⣿
⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⡿⠿⠿⣿⣿⠿⠿⠿⠿⠿⠃⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣔⣏⣿
⠀⠀⠀⠀⠀⢠⣘⣀⣀⠀⠨⣯⣄⠀⠀⠀⠀⠀⣰⣶⣶⠆⠀⢀⣀⣀⣀⣠⡤⢄⠀⠀⣿⣴⣿⣿⡆⠀⠀⢀⡀⠤⠀⠀⣿⡏⠉⠅
⠀⠀⠀⠀⠀⢈⣿⣿⣯⡄⠀⢺⣷⡂⠀⢤⡄⠀⣤⣽⠓⠀⢠⣿⣿⣿⣿⣿⣇⡨⠀⣀⢿⣿⣿⣿⣇⠈⠀⠀⠀⣀⣠⣴⣿⠁
⠀⠀⠀⠀⠀⢿⣿⣿⣿⡅⣀⢒⣶⣲⡶⠶⠶⠶⣶⠶⠶⠂⣐⣒⣒⣒⠒⠒⠒⢂⠀⠁⢸⣿⣿⣿⠏⠀⣤⣤⣼⣿⣿⣿⣿⠄
⠀⠀⠀⠀⠀⠘⠿⠿⠿⠍⠉⣉⣽⣋⣀⣀⣀⠀⠈⠁⠀⠀⠀⠐⠃⠀⠀⠀⠀⠀⢠⣤⣾⣿⣿⡏⠀⢀⣵⣿⡿⠟⠋⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⡿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⠶⠛⠋⠁
⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣶⣿⣿⣟⣂⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣨⠿⠛⠉
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣥⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤
⣿⣿⣤⣬⣤⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀
⠀⠀⠀⠀⢀⠀⣀⠀⢀⣔⡁⣸⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠤⢀⡠⠠⢄⡀
⠀⠀⠀⠀⢠⠉⠈⠀⠀⠀⢀⢍⠱⡀⠈⠉⢳⠀⠀⠀⡋⠀⢀⠤⠬⠤⠤⡀⠈⡇⠀⠀⠀⠀⢠⠀⠀⠀⠈⠑⠢⢈⠆
⠀⠀⠀⣀⠬⢉⡂⠆⠀⢠⠤⣭⠚⠀⡠⠤⠤⠃⠀⠀⣉⠉⢹⠀⣤⠞⢸⠉⠉⡇⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠰⠽⠑⢢
⠀⢘⠉⠁⠀⠀⠘⠦⠔⠁⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⡉⠉⠑⠒⠒⠂⠘⠁⠉⡇⠀⠀⠀⡀⢀⡠⠓⠒⠤⣄⣀⠤⠀⠴⣀⣀⡀
⠀⠀⠁⠉⠁⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀
⠀⠀⠀⠀⣠⠤⠀⠀⠠⠄⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢆⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣠⠦⠀⠀⠎⡠⠤⠈⠄
⠀⠀⠀⢀⠁⠀⠀⠀⠀⢸⠈⠊⡊⢂⠀⠀⠀⠀⠀⠀⢎⠉⠁⢺⠧⠀⠀⢀⡨⠂⠀⠀⠀⠀⠀⠀⡐⠘⠄⠠⠀⠣⠤⠁⡇
⠀⠀⠀⠸⡀⠀⠀⠀⠀⢸⡄⠁⠁⢸⠀⠀⠀⠀⠀⠀⠀⠑⠤⣌⢸⢅⠉⠁⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⢀⡠⢀⠀⡇
⠀⠀⠀⠈⠉⡟⠛⠟⠛⠛⢲⠒⠲⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢸⣄⣱⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠂⢲⠤⢎⠀⢀⠟
⠀⠀⠀⢂⣀⡈⠋⠀⠀⡀⠂⠛⡃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⡟⠃⡆⠀⡟⠋⠖⠒⡄
⠀⠀⠀⠀⠀⠒⠒⠒⠒⠒⠒⠒⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠑⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠉


⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⣀
⠀⠀⢰⠁⠆⠆⡔⠒⠀⠒⡆⣴⠉⢪⢂⠀⠀⠀⠀⠀⠀⠀⡐⡟⠁⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢔⠿⠓⠢⡰⠒⠒⡕⡄
⠀⠀⢠⠀⠑⠁⠈⠊⠀⠑⠁⠈⠂⠊⢸⠀⠀⠀⠀⠀⠀⣔⡀⢇⣀⣘⠀⠈⡆⠀⠀⠀⠀⠀⠀⡌⠀⡘⠂⠐⠊⠐⠂⣒⠁⡀
⠀⠀⠈⠂⢼⣀⡷⠀⠀⠀⠀⢎⣀⡗⠊⠀⠀⠀⠀⠀⠀⣇⣈⠖⠀⠐⣖⣒⠇⠀⠀⠀⠀⠀⠀⠈⢏⣀⡧⠤⠤⠤⢎⡀⡙
⠀⠀⠈⠭⠉⠍⠉⠭⠭⠭⠉⠩⠭⠭⠉⠀⠀⠀⠀⠈⠩⠭⠉⠉⠭⠭⠍⠉⠭⠍⠀⠀⠀⠀⠈⠩⠭⠍⠉⠩⠭⠉⠉⠭⠭⠍
⠀⠀⠉⠀⠀⠀⠉⠁⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠈⠉⠁⠈⠁⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠈⠁⠀⠀⠁⠀⠀⠉⠉⠉⠀⠉

⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠷⢶⣦⣤⣄⣀⡀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠿⠿⠿⠷⠶⣦⠄
⠛⠛⠛⠛⠛⠛⠛⠀⠀⢀⣤⡶⠾⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛
⣀⣀⣀⣀⣀⣀⣤⣤⡶⠟⠋⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤
⣶⣶⣶⣶⣦⣦⣤⣄⡀⠀⠀⠀⠈⠑⠿⢶⣶⣴⣶⣶⣶⣶⣶⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣀⣀⣀⣀⣀⣀⡈⠉⠛⠿⣶⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⢤⣤⡄⣀⣀⡀⡠⠤⠀⠀⠀⠀⠀⠀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢉⠄⠈⢉⠇⡃⠈⠉⠁⠀⠒⢒⢒⡗⠢⠤⠤⣤⠀⢄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠠⠤⠾⠓⠒⠚⠽⠒⠛⠒⠓⡟⠫⡀⠉⠀⠙⢷⠈⢹⡌⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣁⠀⠉⠉⠤⣠⡽⠟⠂⠀⣀⣀⣀⠀⠠⢤⠀⢢⣦⡶⣿⣶⠀⠶⢾⡟⢻⠇⣿⡿⠃
⠀⠀⠀⠀⠀⠀⢠⢐⠐⠋⠀⠀⠀⠀⠀⠀⠂⠀⠀⣿⡕⢺⣿⠀⢠⣠⡀⠴⠟⠛⠹⢻⠂⠀⢸⠇⢺⡠⠊
⠀⠀⠀⠀⠀⠀⠘⠂⠀⠀⠠⠄⣋⠀⠀⠀⠠⣀⣤⡽⠇⣈⡃⠈⠁⠀⠀⠀⠠⠀⢰⢾⠀⢀⣿⡴⠏⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⣉⣱⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠐⠂⢈⣤⣾⠿⠋
⠀⠀⠀⠀⠀⠀⢀⡠⣀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣟⠕⠁
⠀⠀⠀⠀⠀⠀⠸⢶⡼⠂⠀⠀⠀⠀⠀⠀⡆⡉⡦⠀⢀⢀⠀⢀⣦⣾⡿⠿⠛⠟⠃
⠀⠀⠀⠀⠀⠀⡠⠁⡒⠂⢀⣀⠠⠤⠄⠀⠈⠻⠉⠀⢨⣴⣿⣿⣿⠿⡗⠒⠂
⠀⠀⠀⠀⠀⠀⠑⢲⣧⡤⣟⣛⣿⣿⣄⠀⠠⢙⣀⣠⣯⣿⠿⠋⠁⠁
⠀⠀⠀⠀⠀⠀⢀⡩⠗⠋⠉⠉⠉⠒⠚⠒⠻⠿⢟⣭⣛⠁
⠀⠀⠀⠀⠀⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠊

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠭⠭⠭⠭⠭⠭⠥⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠨⠅⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡯⢕⠲⢄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣴⠶⠖⠒⢋⡤⢖⠉⢀⠜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡦⢽⡻⠿⠉⣉⠀⠀⠀⢀⠘⢁⠅⠀⢀⡞⠀⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣂⣩⠭⠟⢓⠉⠉⠀⠈⠀⠀⠀⠀⠈⠀⠀⠈⢠⠜⠁⠀⢀⡞⠀⠀⠇
⠀⠀⠀⠀⠀⣀⣠⠤⡤⠤⣤⡀⠤⠔⠒⠈⡉⠤⠐⠂⠉⠀⠀⠀⠀⠀⢀⠀⡄⠣⠀⠖⣡⠖⠅⠀⠀⢀⡞
⠀⠀⠀⠀⠈⠁⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠜⡅⠂⣠⠟⠁⠀⠀⠀⢠⠿⠁⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠉⠀⠈⠑⠲⡄⠀⠀⡎⡀⠀⡄⢘⡁⡆⠀⣰⠟⠁⠂⠀⠀⠀⢠⢣⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⣧⡗⣃⠀⠈⠀⡡⠚⠡⠂⠀⠀⠀⠀⢠⢃⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⣠⡄⠀⢠⠐⠀⠤⠟⢁⣤⡠⠊⢀⠀⠀⠀⠀⠀⠀⢠⢃⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢇⢉⣉⣉⣁⣀⣰⣟⠀⠀⢠⣾⡿⠋⢀⠔⠃⠀⠀⠀⠀⠀⢠⠃⠌
⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⢦⣠⡄⠀⠀⢡⠀⣰⠠⢄⡾⠋⢀⡴⠃⠀⠊⠀⠀⠀⠀⢠⠇⡜
⠀⠀⠀⠀⠀⣠⠴⠋⠁⠀⠀⠈⠉⠛⠙⠋⠁⢀⡴⠋⠀⡠⠊⠀⠐⠁⠀⠀⠀⠀⢠⠏⡐
⠀⠀⠀⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢀⠴⠋⠀⣠⡎⠀⠠⠊⠀⠀⠀⠀⠀⢠⠏⡰⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠁⠀⣠⠞⠁⢀⠔⠁⠀⠀⠀⠀⠀⢠⠏⠠⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⢀⠞⠁⠀⡠⠂⠀⠀⠀⠀⠀⠀⢠⠃⢠⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⢀⠔⠃⠀⢀⠔⠀⠀⠀⠀⠀⠀⠀⢠⠃⢠⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⠂

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐
⠀⠀⠀⢀


⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⣀⣀⣀⣀⣀⣀⣀⣀⢀⣀⣀⣀
⣿⣟⣙⣋⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⢀⣤⣤⣀⠀⣠⣤⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠲⣤⡴⠺⣿⡿⠿⢷⡿⠛⠛⠿⠿⠛⢻⣧⣤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠤⠶⢄⠀⠀⠀⠸⢿⡟⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠘⠳⣶⣦⠰⣾⡿⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⡼⠷⣄⣰⠟⠻⠶⠖⠁⠀⠀⠲⢾⣿⣀⣼⣿⡆
⠀⠀⠀⠀⠀⠀⠀⣠⠌⠉⠉⠛⠛⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣶⣶⣦⡀
⠀⠀⠀⠀⠤⠀⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠠⣿⡿⣻⣿⣿⣿⣿⣿⣇⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡶⠞⠋⠉⢰⢏⠏⣾⣿⣿⣿⣿⣿⣿⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠶⠚⠉⠀⠀⢀⣀⡤⡞⠘⢸⣿⣿⣿⣿⡁⠀⣹⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡴⠆⠈⠉⠀⢀⣠⡤⠶⢿⣻⣧⣤⢴⣾⡈⢿⣿⣿⣭⣻⣿⣿⣿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡃⣀⡠⠴⠒⣋⣩⣤⣶⣿⣿⣿⣿⣿⣜⣿⣿⣮⡻⢿⣿⣿⣿⣿⣿⣶⡆
⠀⠀⠀⣠⣤⡤⠀⠀⠀⢸⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢠⣤⣿⣿⡇⠀⠀⠐⠀⢸⣿⣿⣿⣿⣿⣿⠿⠿⡿⠉⠀⣼⣧⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆
⢸⣿⣿⣿⣧⡴⠻⠖⠋⠉⠀⢹⣿⣯⣔⢠⠀⠀⡳⠒⠒⣿⣿⣼⣿⣿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⢸⣿⠋⠛⠀⠀⠀⠀⠀⠀⠀⢼⣿⣽⠿⠿⣪⣿⡇⠀⠀⢹⣿⣿⣿⢸⣦⣿⣿⣿⣄⣿⣿⣿⣿⣿⡇
⢸⣭⣶⣤⣤⣾⣦⣰⣦⣿⣿⣿⣿⣟⣿⣿⣿⣿⡿⣷⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⡿⠃
⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠛⠋⠛⠛⠛⠚⠛⠟⠳⠿⠿⠟⠿⠯⠽⠿⠿⠯⠽⠿⠿⠿⠭⠭⠭⠭⠤⠤⠤⠤⠤

⠀⠀⠀⢠⡀⢀⣀⠀⠀⠀⠀⠀⠀⢠⠂⠐⠤⠀⣀⠄⠂⡆⠀⠀⠀⠀⠔⠛⠉⠛⠢⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀
⠀⠀⢐⠌⠉⢈⠁⠔⡀⠀⠀⠀⠀⠀⠙⠒⢠⠔⠁⡠⡊⠀⠀⠀⠀⠐⠨⠀⠀⠀⠀⠀⠀⠀⠀⣼⠉⠩⢉⠩⠋⠍⢂
⠀⠀⠈⠀⠀⠀⠀⠈⠑⠂⣤⠀⠀⠰⢒⡠⠀⡠⠊⠡⠡⠀⠀⠀⠀⠀⠑⣴⣀⣤⠆⠀⠀⠀⠀⣿⠄⠠⠁⠠⠀⠀⠀⡁
⠀⠀⠓⢅⠎⠦⠤⠴⡰⡱⠉⠀⠀⠀⠨⠴⡈⡀⠀⢧⢘⠁⠀⠀⠀⠀⠀⢸⠛⡃⠀⠀⠀⠀⠀⣨⣤⡤⡤⠀⢤⢤⢤⢽
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠈⠒⠁⠀⠀⠀⠀⠀⠀⠉⠊⠀⠀⠈⠑⠁

⠀⠀⠀⠀⢀⠀⠀⠀⣀⢀⠀⠀⠀⢀⠠⠤⠤⠤⠤⠄⡀⠀⠀⠀⠀⠀⢀⠿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡋
⠀⠀⠴⠒⠞⢋⠉⢡⠷⠠⡀⠀⠀⠃⠄⠀⢀⠰⠀⡆⠀⠀⠀⠀⢀⠠⠟⠿⠿⠤⣒⠀⡰⠀⠀⢀⢀⡌⠖⡀⢁⠈⡐⢀
⠀⠀⢇⠈⢐⠛⠋⠠⡀⠀⡘⠀⠀⡧⠥⠤⠥⠔⠀⡧⠤⠀⠀⠀⢘⠂⠀⠀⠀⠀⠀⠐⠀⠀⠀⠘⠛⠤⡘⠊⠓⠉⠚⡐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠵⠵⠀⠈⠀⠑⠓⠖⠀⠀⠀⠈⠁⠈⠀⠉⠈⠁⠈⠀⠀⠀⠀⠐⠁⠉⠉⠉⠉

⠀⠀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠐⠀⢄⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀
⠀⠀⡅⠀⢸⠀⠀⠛⢯⠇⠀⠀⠀⠀⠀⣿⠰⠉⠂⣆⠀⠀⠀⠀⢠⣄⢀⣤⡀⢸⢀⠀⠀⠀⠀⣏⠀⠀⠁⠀⠾⠇⠀⡁
⠀⠀⠁⠒⣚⡚⢂⣀⠨⠤⠀⠀⠀⢀⡉⣀⡆⠀⠀⡇⢑⡀⠀⠀⡀⡩⠨⡉⠉⢉⠀⢀⢿⠀⠀⠀⠀⠀⢂⠤⠠⣈⠀⣰
⠀⠀⠀⠃⣒⠐⠐⠂⠃⣛⠀⠀⠀⠈⠁⠙⢦⢀⠤⠋⠉⠀⠀⠀⠈⠁⠁⠉⠛⠉⠈⠐⠀⠀⠀⠀⠀⠀⢈⣓⣄⢠⣘⡡

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠆
⠀⠀⡄⠀⠀⠀⠀⠀⠒⠒⠒⠂⢄⠀⠀⠀⠀⢠⠤⠤⠤⠾⠭⠽⠦⣖⠲⢤⡀⠀⠀⠀⠀⠛⡉⠉⢉⠛⠀⢶⢲
⠀⠀⣏⠉⣭⠉⣍⠉⣭⡋⢩⡋⡍⡀⠀⠀⠀⠮⠥⠕⠥⠴⠪⠨⠎⠉⠱⡉⣣⠀⠀⠀⠀⢀⣂⣒⣐⣐⣀⣘⣘⣰⠄
⠀⠀⣃⡀⣀⡄⡀⠤⠤⠤⠤⢄⣠⢈⡀⠀⠀⢅⠉⡩⣅⠉⠉⠉⢀⢀⢀⣠⢄⡀⠀⠀⢸⡏⢠⣾⡄⢀⡀⢀⡀⢨⣳⡀
⠀⠀⠀⠁⠑⠑⠁⠀⠀⠀⠀⠈⠛⠚⠁⠀⠀⠈⠈⠓⠛⠁⠀⠀⠀⠀⠈⠙⠛⠁⠀⠀⠀⠈⠈⠛⠋⠙⠛⠙⠋⠛⠛⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡔⠁⣠⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢪⠊⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⢄⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣆⡥⠁⠀⣠⠉⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⣡⠀⠈⡄⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠭⡜⠀⠀⣰⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡆⠀⠐⡀⠀⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠏⢐⠞⠀⠀⡸⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⠀⠀⠩⡭⢅⡑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠪⠭⢤⠌⠀⠀⢴⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠀⠀⠱⣀⡂⠷
⠀⠀⠀⠀⠀⠀⠀⡴⠅⠀⢲⠊⠠⠁⡰⠛⠃⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠤⠘⠛⢀⠐⠀⠡⠄⠨⠵⢆
⠀⠀⠀⠀⠀⢀⠠⠬⠁⢰⠃⠠⠁⢘⣿⡦⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢶⡿⠂⢡⠀⠹⡭⢉⣁⡀
⠀⠀⠀⠀⢰⣓⣒⣊⡹⠃⢠⠃⢠⠋⠉⠒⠲⠤⠤⠤⠤⠤⠤⠤⠄⠀⠤⠀⠠⠤⠐⠒⠚⠛⠃⠀⠂⠀⠱⡒⠒⠨⢵⡀
⠀⠀⠀⠀⣀⠠⠤⡴⠁⢀⠆⠸⣹⣭⣉⣉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣉⡉⢩⣭⡿⠘⡄⠀⠩⣉⣉⣉⡀
⠀⡠⢊⣀⣀⠤⡔⠁⠀⠎⠀⠾⠭⢍⣀⣀⣀⣀⣀⠁⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠀⣀⣀⡬⠭⠞⠆⠸⡀⠀⢡⣀⣀⣀⡉⢢
⠰⠭⠤⠤⢤⡜⠀⠀⡜⠀⣼⣀⣀⣀⣀⣀⣀⣀⣀⣀⣉⣉⣉⣉⣉⣉⣉⣉⣉⣉⣁⣀⣀⣀⣀⣀⣸⡄⢣⠀⠀⢣⣀⣀⠀⠭⠇
⣤⣤⣤⣤⣤⣤⣤⣬⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣥⣤⣥⣤⣤⣤⣤⣤⣤⣤⣤⣤
⣿⣿⣤⣠⣤⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿