⠀⠀⠀




⠀⠀⢠⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⠤⠒⠒⠒⠒⠒⠒⠏⠦⣌⠙⠻⡆⠹
⠀⠀⠀⠀⠀⠀⠀⠀⢰⢣⠃⠀⠀⠀⠀⢀⡠⠔⠊⠙⠛⣞⣀⡕⠋⠁⠀⠀⠬⠴⣢⡀⢸⡸⡤⡳⣦⢿⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⣠⠶⠛⠁⡠⠴⠋⠉⣿⠹⡌⠈⠁⠐⠲⢤⣤⡀⠐⣄⢫⢶⣌⢨⠎⢀
⠀⠀⠈⠓⢖⠢⢄⠀⢇⢸⠀⠀⡴⢁⠠⠊⠀⠀⡐⠀⠀⠁⠀⠉⠀⠀⢦⡀⡀⠀⠑⢄⠈⢏⣓⠬⣻⠔⡫
⠀⣸⠀⠀⠀⠘⢄⠘⢼⡀⣄⣜⠤⠃⠀⠀⠀⣠⠃⠀⠀⠀⠀⠀⠀⠀⠘⠇⢻⠧⠀⠀⠣⠀⠻⣄⣜⡼⠃
⠀⢫⢃⠀⡤⠔⠚⢣⡀⠡⡼⠁⠀⠀⠀⡰⢰⠏⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠑⢄⡙⡟⢦⠄
⠀⢈⣾⠷⢶⡙⢄⠀⢑⣤⡻⠀⠀⠀⢠⠁⡾⠀⠀⡎⠀⠀⠀⠀⠀⢰⠀⠀⣂⠀⠀⠀⠰⠀⠈⣦⣏⢻⡳
⠰⠋⠉⠑⠢⠍⣦⠝⠹⣶⠃⠀⠀⠀⡆⢸⡇⠀⢀⠃⠀⠀⠀⠀⠀⡻⡀⠀⢹⠀⠀⠀⠀⢣⠀⠘⣿⠹⠧
⠀⠀⠀⠀⠀⡰⠁⠀⣴⠘⢠⢢⡀⢸⠁⣼⠁⠀⢸⠀⠀⠀⠀⠀⠀⣇⡇⠀⢸⡇⠈⣠⠐⠸⡀⠀⢻⠷⣄
⠠⣤⡤⢤⠴⢃⣊⣩⣷⡇⣎⢿⠁⢸⠀⣻⠀⠀⢸⡄⠀⠀⠀⢀⣀⣹⣧⣀⣀⣧⠀⣿⠈⢧⣇⠀⠸⣬⢯
⠀⠀⠈⠉⢹⣭⡟⠚⡟⡇⡿⠛⠀⢿⡀⣽⢀⣤⣞⣑⣋⠉⠉⠉⠉⠁⢀⣀⠬⠬⠿⠛⢢⡿⣏⠀⠀⣇⠚
⠀⠀⠀⠒⠉⢯⣻⣿⠃⡇⡀⠀⠀⢹⡷⠞⠋⠁⢀⣀⡈⠀⠀⠀⠀⠉⠁⣀⣠⡴⢶⣶⣛⣿⣿⠀⠀⣡⠑
⠀⠀⠀⠀⠀⣸⣌⢻⠀⠇⠁⣠⠞⠋⣠⡔⢂⣉⣀⣀⣀⡀⠀⠀⠀⠀⠚⢋⣵⣿⡿⠿⠟⠛⠉⡄⠀⠼⠗
⠀⠀⠀⠀⡸⢫⠋⢙⠀⠘⢛⢿⣷⡽⣿⣛⢋⣉⣨⣿⣿⠅⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⢠⠠
⠀⠀⠀⠀⣷⡓⢆⠈⡀⢰⣟⢺⢻⡳⡠⠿⠿⠟⠛⠉⠁⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⠀⢸⣶
⠀⠀⠀⠀⣿⣇⣸⢠⡇⢸⣿⢸⣮⣧⣇⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⢀⡠⢒⣩⡟⠀⢸⣿
⠀⠀⠀⠀⠀⠀⠙⡿⢇⢘⢿⢞⡉⠉⠈⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⣞⣿⣾⣿⣿⠀⠀⣿⣿
⠀⠀⠀⠀⠀⢠⡾⠢⡸⣼⣺⣎⡇⠀⣀⣀⣡⡀⠀⠀⠀⠀⠀⢠⣴⣶⡶⣯⣽⣿⣿⣿⡙⠿⡟⠀⠰⠉⠛
⠀⠀⠀⠀⠀⠘⠿⠤⣧⣴⣽⣿⣼⠿⣿⣿⣿⣿⣦⡀⠀⠀⣀⠴⣮⣑⣿⣿⡟⠿⢿⣿⡇⢠⠇⠀⣧⠀⠠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠻⠈⢳⣿⡓⢾⣿⢿⣿⡖⣾⣷⣿⣿⣿⣿⠇⢰⠀⠀⠈⡇⣼⠆⡘⢿⡄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣿⣿⣿⣷⣿⣶⣿⣿⣿⣿⣿⡿⠛⡄⠀⠆⠀⠀⢸⣿⠐⢇⠀⢇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⡿⠟⣷⠀⠀⢱⠀⠀⡀⠀⢻⡷⠁⠘⡀⢸⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣟⠙⠛⢿⡋⠁⠀⠀⠸⡀⠀⠀⢧⠀⢇⠀⡼⡇⠀⠀⠀⠀⡈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢏⣆⠀⠈⢧⠀⠀⠀⠀⣡⡤⠖⢻⢦⡈⡎⠐⣧⡀⠀⠀⢠⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡶⣤⠬⡧⠤⠖⢩⡇⠀⠀⠀⣇⠐⢼⣄⣿⣿⣷⣴⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢸⠀⠙⠀⠀⠀⣷⠀⠀⠀⡟⣶⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⣆⠀⢡⠀⢀⣸⣦⡴⣾⠋⠋⠁⣾⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⠚⡁⠀⣀⣼⣿⣿⣿⣿⡿⢋⡤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⢿⣿⣏⢔⣭⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡿⠋⢁⡾⠃⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⢛⢻⣿⣿⣿⣿⡿⣯⣿⡿⠋⠀⢠⡞⠀⠀
https://www.youtube.com/watch?v=UQ29mvi6C4o&t=771s