⬜⬜⬜⬜⬜⬜🏿🏿🏿🏿🏿🏿🏿⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜
⬜⬜⬜⬜🏿🏿🏾🏾🏾🏾🏾🏾🏾🏿🏿🏿⬜⬜⬜⬜⬜⬜🏿⬜⬜⬜⬜
⬜⬜🏿🏿🏾🏾🏾🏾🏾🏾🏾🏾🏾🏾🏾🏾🏿🏿⬜⬜⬜🏿🏾🏿⬜⬜⬜
⬜🏿🏾🏾🏾🏾🏾🏾🏾🏾🏾🏾🏿🏿🏾🏾🏾🏾🏿🏿🏿🏾🏻🏿⬜⬜⬜
⬜🏿🏾🏾🏾🏾🏾🏾🏾🏾🏾🏿🏾🏾🏿🏾🏾🏾🏾🏿🏾🏻🏻🏻🏿⬜⬜
🏿🏾🏾🏾🏾🏾🏾🏾🏾🏾🏿🏾🏾🏻🏻🏿🏾🏾🏿🏿🏾🏻🏻🏻🏿🏿⬜
🏿🏾🏾🏾🏾🏾🏾🏾🏾🏿🏾🏾🏻🏻🏻🏻🏿🏾🏾🏾🏾🏾🏾🏾🏾🏿⬜
🏿🏾🏾🏾🏾🏾🏾🏾🏾🏿🏾🏻🏻🏻🏻🏾🏾🏾🏾🏾🏻🏻🏻🏻🏻🏿⬜
🏿🏿🏾🏾🏾🏾🏾🏾🏾🏿🏾🏻🏾🏾🏾🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏿
🏿🏾🏿🏾🏾🏾🏾🏾🏾🏾🏾🏻🏾🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏿
🏿🏿🏾🏿🏾🏿🏾🏿🏾🏾🏾🏾🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏿🏿🏻🏿
⬜🏿🏿🏾🏿🏾🏿🏾🏿🏾🏿🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏿🏿🏻🏿
⬜🏿🏾🏿🏾🏿🏾🏿🏾🏿🏾🏻🏻🏻🏿🏿🏻🏻🏻🏻🏻🏻🏻🏿🏿🏻🏿
⬜🏿🏿🏾🏿🏾🏿🏾🏿🏾🏿🏻🏻🏻🏿🏿🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏿
⬜🏿🏾🏿🏾🏿🏾🏿🏾🏿🏾🏻🏻🏻🏿🏿🏻🏻🏻🏿🏻🏻🏿🏻🏻🏿⬜
⬜🏿🏿🏾🏿🏾🏿🏾🏿🏾🏿🏻🏻🏻🏻🏻🏻🏻🏿🏻🏿🏿🏻🏻🏻🏿⬜
⬜🏿🏾🏿🏾🏿🏾🏿🏾🏿🏾🏿🏻🏻🏻🏻🏿🏿🏻🏻🏻🏻🏻🏻🏻🏿⬜
⬜🏿🏿🏾🏿🏾🏿🏾🏿🏾🏿🏾🏿🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏿⬜
⬜🏿🏾🏿🏾🏿🏾🏿🏾🏿🏾🏿🏾🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏿⬜
⬜🏿🏿🏾🏿🏾🏿🏾🏿🏾🏿🏾🏿🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏿⬜
⬜🏿🏾🏿🏾🏿🏾🏿🏾🏿🏾🏿🏾🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏿⬜
⬜🏿🏾🏾🏿🏾🏿🏾🏿🏾🏿🏾🏿🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏿⬜
⬜⬜🏿🏿🏾🏿🏾🏿🏾🏿🏾🏿🏾🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏿⬜
⬜⬜⬜⬜🏿🏿🏾🏾🏿🏾🏿🏾🏿🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏿⬜
⬜⬜⬜⬜⬜⬜🏿🏿🏿🏾🏾🏿🏾🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏿🏿⬜⬜
⬜⬜⬜⬜⬜⬜⬜⬜⬜🏿🏿🏾🏿🏻🏻🏻🏻🏻🏻🏻🏿🏿🏿⬜⬜⬜⬜
⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏿🏿🏻🏻🏻🏻🏿🏿🏿⬜⬜⬜⬜⬜⬜⬜
⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🏿🏿🏿🏿⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜
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ඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞඞ ඞ ඞ
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠁⠐⠢⠤⣄⡈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠲⠶⢦⣤⣄⡀⠀⠀⠀⠉⠑⠦⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⣠⠶⠂⠀⠀⠉⠉⠉⠙⠛⠻⠿⢷⣶⣤⣤⣀⠙⠛⠶⣤⣀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⠟⢁⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠿⣿⣦⣶⡉⠳⢦⣄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⡾⢃⣴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣦⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠀
⠀⠀⠀⣰⠏⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀
⠀⠀⢠⠃⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤⣤⣄⡀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀
⠀⢠⡏⠀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠻⠾⣿⣶⣄⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷
⠀⣼⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⣛⠿⠇⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⢀⡇⠀⠀⠀⠀⠀⠀⢰⣶⣾⡿⠿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠈⠉⠛⠛⠻⠿⠿⠟⠁
⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠷⠶⠶⠿⠿⣿⡿⠀⠀⠀⠀⠀⠀⠀⢸⣿⠛⠛⠶⠶⠶⣿⣶⠆⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠒⠒⠒⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠒⠒⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢸⣆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠤⠶⠒⠛⠛⠋⠉⠉⠉⠀⠉⠉⠉⠙⠛⠓⠶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢹⡀⠀⠀⠀⠀⢠⣴⣶⡛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣶⣤⠀⠀⠀⠀⢀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢳⡀⠀⠀⠀⠈⠉⠉⠉⠙⢹⡿⠟⠛⢻⠟⠓⠒⠶⢶⣶⡶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠟⢠⣿⠃⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⡟⠀⠀⠀⠀⠀⠈⠛⠷⣄⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠙⢧⡟⠛⠛⠷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⢤⣤⡤⠴⠟⠉⠀⠀⢠⣶⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠈⢻⣦⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠢⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⢀⣤⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠉⠀⠀⠀⠀⠀⠀⠤⠶⣤⣀⠀⠀⠀⠉⠙⠂⠀⠀⢀⣠⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠈⠙⢷⣆⣀⣄⣤⠶⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠉⠓⠲⣿⣍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢦⡀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡀⠀⠙⢦⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⣤⠟⠁⠈⠛⠦⣤⣤⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⠤⠤⠤⠤⠤⠤⠤⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡾⠛⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⢸⠋⠀⠀⠀⠀⠙⢷⣄⣀⣀⣀⣀⠀⠀⠀⢀⣀⣀⣤⡾⠿⠿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠛⠻⠶⣶⣶⣿⡀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠷⠶⢶⣾⡟⠛⠠⠤⠤⣤⣈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⣿⠟⠛⠛⠛⠛⠛⠛⢷⣶⣶⣶⣦⣀⣀⠀⠀⠀⠈⠹⣿⣧⡀⠀⠘⢿⠿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠿⢷⣤⡀⠀⠀⠉⠻⣦⡈⢁⣠⣿⣦⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣶⣶⣶⣾⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣦⡀⠀⠀⠈⣿⣮⣿⠟⠛⠛⠛⠛⠛⠛⣷⠆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⡀⠀⠀⠈⢻⣧⡀⠀⠀⠀⠀⢸⣷⠟⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⢿⣷⠀⠀⠀⢀⣼⣿⣦⣤⣤⣤⡀⠀⠀⠀⠀
⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣶⣦⣀⣿⣷⣤⣴⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀
⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀
⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⠿⢿⣿⣿⣿⣿⣿⡿⣿⣿⡏⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠈⢿⣿⠟⠛⣻⡿⠋⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⢸⣿⣤⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢸⣿⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⡉⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⢸⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠙⢿⣿⣿⣿⣿⣿⣿⣟⠛⠿⣿⣿⣿⣿⣿⡆⠀⠈⠻⠿⠛⠛⢛⣿⣯⡛⠛⠛⢿⣿⣿⣿⣿⡇⠀⢰⣿⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠁⠈⠉⠙⠋⢹⣿⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣇⠀⢸⣿⠀⣼⠋⣸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⢹⣿⣿⡿⣿⡀⠀⠉⠁⠀⣴⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣷⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣦⣤⣤⣶⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣦⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣄⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⣠⡟⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠉⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠉⠀⠙⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⠿⢿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠙⣿⣿⣿⣿⠟⠋⠉⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣧⣶⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣠⣾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣧⡀⠀⣀⣠⣶⣶⣶⣾⣿⣿⣾⣿⣿⡍⠙⠛⢻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⡟⠁⠀⣀⣀⣾⡿⠿⠋⠛⠿⢿⣷⣿⠿⠏⠙⠿⠦⠤⢤⣤⣀⣀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠻⠏⠁⣠⣶⡆⠀⣠⣼⠿⠛⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠷⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠘⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⢀⣼⣿⣿⣯⣧⣼⣿⣅⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣷⣶⣤⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⠿⠛⠛⠿⢿⣿⣿⣿⣷⣄⠀⠀⠀⠀
⠀⠀⠀⠀⢀⠴⡿⠿⠿⣿⣗⡠⠤⢀⡁⠒⠙⣿⣿⣿⣿⣷⠀⠀⠀
⠀⠀⢀⢔⠕⠀⠀⠀⠀⠀⠀⠉⠙⠓⠾⣕⣢⣼⣿⣿⣿⣿⡁⠀⠀
⠀⠠⢣⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠙⠻⢿⣿⣿⣿⣿⣷⣄
⢀⠃⠃⠀⠀⢀⣠⡴⠃⠀⠀⠀⠀⠈⠉⠉⠳⠆⠀⠙⣿⣿⣿⣿⣿
⢸⠀⠀⠀⠉⣉⠉⣀⣀⠀⠀⠀⢀⣀⠀⢀⠀⠀⠀⠀⢸⠀⠉⠉⠁
⢸⠀⠀⠀⠀⠛⠛⠛⠋⠀⠀⠀⠈⠒⠛⠛⠁⠀⠀⠀⠸⠀⠀⠀⠀
⠀⠆⠀⠀⢀⡠⠄⠒⠂⠈⠉⠉⠀⠒⠒⠤⣀⠀⠀⢀⠆⠀⠀⠀⠀
⠀⠈⢄⠀⠉⠉⡙⠋⡟⠀⠒⠶⡒⠒⠒⠒⡱⠃⢀⠎⠀⠀⠀⠀⠀
⠀⠀⠈⠪⣉⠳⣄⠀⠀⠀⠀⠄⢈⡑⠒⠈⢀⠜⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⡆⠀⠀⠀⠈⢁⡢⣄⠄⠄⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠒⠢⡙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢰⠀⠀⠀⠀⡔⠉⠂⠔⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣄⠀⢀⡀⠴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀