⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠛⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠆⠀⠀⠀⠈⢷⣄⡀⡇⠀⠠⣤⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣦⣄⠀⠀⢘⣿⣿⣇⠀⠰⡜⢿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣰⣴⣿⣿⣿⣿⣇⢠⠞⠉⠛⣿⡀⡨⣿⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢤⣶⣾⠿⠛⣿⡋⠻⣿⣯⣿⣤⣄⡀⢿⣧⠙⣿⣷⣺⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⣤⣿⡇⠀⢾⣆⣿⣿⢿⣿⡾⢿⠧⣯⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣷⣰⠿⠛⣿⣱⡿⠉⠀⢿⣿⣿⣿⠃⢈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡟⠉⢿⣶⡟⡟⢀⠀⠀⠀⣨⣿⠋⣷⢠⡟⡃⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣢⡾⠛⢉⣯⣿⡇⠀⣼⡟⣽⡇⣸⡆⠀⢠⣿⢃⣾⣷⣾⡼⣿⣆⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠺⠟⠋⠀⠀⠨⣿⣿⡿⢾⠟⣴⣿⣿⢻⣿⢀⡾⠁⣾⣿⠉⠛⠑⠻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣗⠀⠀⠹⢿⡇⢺⣿⡞⠁⠨⣿⣿⣦⡀⠀⠀⢸⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡗⠀⠀⠀⢀⣄⡶⠃⠀⠀⠀⠻⣿⣿⣿⣷⣶⣾⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⠁⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠱⣞⠂⣰⠗⣦⠀⠀⢸⡆⠀⢱⣞⠀⠓⡞⠂⠀⠘⢲⡗⠈⣶⣸⠆⢸⣖⠁⠀⠈⣦⣳⢸⠆⣸⠖⣇⠨⡖⣧⠀⣷⠀⠨⡖⢳⡄⠀⠀⣷⣺⠀⢵⣚⠀⠀
⠀⠀⠀⠀⠀⠗⠀⠘⠦⠏⠀⠀⠸⠷⠄⠸⠧⠂⠈⠏⠀⠀⠀ ⠸⠃⠀⠟⠹⠃⠸⠯⠀⠀⠀ ⠹⠙⠟⠀⠹⠶⠋⠐⠏⠳⠀⠿⠆⠈⠷⠚⠁⠀⠀⠿⠝⠀⠹⠭

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠠⠀⠀⠀⠀⠀⠊⠓⠹⣒⢄⡈⠣⠤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠑⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠢⢀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠰⣄⠀⠀⠢⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀ ♫H ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠗⢄⠀⠁⠀⠀⠀⣀⠀
⠀⠀⠀⠀⠀⠀ ♪ E ⠀⠀⠀ ⠀⠀ ⠀⠀⠀ ⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀ ♩ L⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀ ♮ Y ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠀⠀⠀⠀⠀⢢⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠐⠲⠦
⠀⠀⠀⠀⠀⠀ ♬Z e ⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠁⡐⠀⠏⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠢⠀⣶⣬⣄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠰⠁⠀⠀⠈⢀⠁⡘⠉⡀⠈⠃⢅⠀⠀⠀⠀⠀⠀⢀⢴⡗⢡⢳⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⢰⠷⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠘⢰⠀⢀⠂⠌⡠⠀⡐⠀⢀⣀⣀⣉⣢⣀⣀⠀⣠⡯⠈⠐⢈⢺⠀
⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠇⢰⠅⠀⠀⠀⠐⠀⢠⡄⡀⠀⠀⣖⢸⠀⢰⠍⡠⠁⢀⣴⠞⠛⣯⠁⠹⠁⢏⣻⣴⠗⠀⠀⠀⠀⠤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡔⠀⠀⠀⠀⠠⣐⣀⣤⠀⠀⠀⠀⡺⡋⠀⠀⠀⠀⠄⡀⠙⢢⡏⠊⠀⠀⠊⠀⠀⠀⠈⡇⣄⣤⣾⣿⡯⠀⠄⠀⡀⠐⠠⡈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠀⠀⠰⠀⠀⠀⠀⠀⢈⠇⡀⢹⠀⠀⠀⠈⠘⢀⣀⡤⠮⢿⠿⡔⠀⠀⠣⠠⣀⠀⠀⠀⠀⠀⠔⢭⢿⡟⠋⠁⢀⠀⠀⠀⢈⣀⠁⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣌⡠⠄⡬⡄⠁⠀⠀⡲⠋⠈⠱⡀⠘⠂⢱⣲⣰⡼⢷⣽⡆⣀⣠⣴⠶⠟⠋⠙⠉⠀⠀⠆⠀⠀⠂⡄⠀⢈⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⣀⣄⠀⠀⡄⠀⣴⡀⡀⣀⣈⢄⡤⠴⠘⡇⠠⠄⠀⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⡘⠀⡄⠀⢀⠃⢸⡐⣗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠁⠇⣺⠀⠙⢦⡄⢡⢐⢽⣷⡐⣉⣁⣠⡄⠶⠛⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠎⠀⢸⣧⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠈⡴⢸⠀⣽⠀⠉⢻⢿⠙⣷⠉⠋⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣞⠀⠀⠘⣿⣾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠫⢶⠀⠘⠩⡣⣄⢙⢷⡹⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⢀⣴⣿⣟⡆⠠⠀⠐⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⣐⢀⠀⠘⠧⣀⠛⠙⣻⣿⡄⠀⠀⠀⢀⣀⣀⣀⣀⠀⠒⠒⠋⠀⠀⠀⠀⢀⣰⣿⡿⣹⠓⠀⠀⠀⠀⢺
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣄⡁⠀⠉⠛⠶⢬⣟⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠿⡇⢂⠀⡄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠐⠀⡊⢳⡄⠀⠀⠀⠀⠈⠓⣝⢿⣷⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠡⠒⡇⠂⠀⠇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠀⠀⠀⠹⢦⡀⠀⠀⠀⠀⠀⠁⢿⣿⣿⣷⣦⣄⣀⠀⠀⣠⣾⣿⣿⣬⡝⠀⠁⠁⠀⠀⠅⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⣆⠀⠀⠀⠀⠀⠁⢳⣿⣿⣿⡿⣿⣿⣿⣿⣻⡿⠯⡻⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢛⠦⠀⠀⠀⠀⠀⠈⣿⡻⣿⣯⡾⣿⢋⣿⠎⠀⢠⠃⡇⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡿⡌⠄⠀⠀⠀⠀⠀⢀⣾⡿⡿⣌⣿⣧⢏⠆⠀⠀⣸⢀⠁⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⣯⠮⡱⡵⠀⠀⠀⠀⠀⠀⣸⣟⢱⢹⣿⣹⠁⠆⠀⠀⠀⠁⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣜⢝⠊⡟⢠⢱⠁⠀⠀⠀⠀⠀⠀⣿⡇⠈⣿⢓⣿⣄⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠛⠁⠀⣧⡜⡱⡣⠁⠀⠀⠀⠀⠀⠀⣼⣿⠕⣺⠽⡋⠀⠉⠻⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠁⣀⢖⠟⢹⡱⡳⠁⠀⠀⠀⠀⠀⠀⢠⣾⡷⠑⢆⠀⣿⠀⠀⠀⠈⠙⠵⢦⠀⠀⠀⠀⠀⠀⣀⣀⠠⠤⠄⠄
▄ █ ▄ █ ▄ █ ▄ █ ▄ █ ▄ █ ▄ █ ▄ █ ▄ █ ▄ █ 𝖈𝖆𝖗𝖕𝖊 𝖓𝖔𝖈𝖙𝖊𝖒 █ ▄ █ ▄ █ ▄ █ ▄ █ ▄ █ ▄ █ ▄ █ ▄ █ ▄ █ ▄