⠀⠀⠚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀
⠀⠀⠀⠘⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⠟⠛⠋⠉⠉⠉⠙⣿⣿⣿⣿⣶⣀⠀
⠶⠿⢰⣿⣶⣦⠀⠀⢸⣿⣿⣦⡄⠀⢀⣴⣾⣿⣿⣿⡿⠿⣿⣿⣿
⠀⠀⠀⠻⠿⠃⠀⠀⠀⣿⣿⣿⣧⠀⠀⠉⣉⣉⣩⣥⡶⠀⠀⠀⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⠀⠀⣻⣿⣿⣿⠃⠀⠀⢠⣿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⣴⣿⣿⣿⠟⠃⡀⠀⢠⣿⠟⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⣤⣤⣤⢰⣿⡦⣿⠀⣿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠀⠛⠛⠋⠈⠉⠀⠀⢀⣿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢴⡆⣤⣤⣄⡄⢀⣀⣀⢀⣀⢀⡄⠀⢨⣿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠘⠃⣿⣿⣿⠇⣿⣿⡋⣿⠏⠛⣃⣤⣾⣿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣄⣠⣤⣠⣴⣶⣾⣿⣿⣿⣿⣿⣿⡀⠀

⠄⠄⠄⠄⠄⠐⠄⢀⢀⢘⣴⣲⣶⣦⣕⠆⠤⠄⠄⠈
⠄⠄⠄⠃⢀⢠⢦⣻⢽⢯⡿⣽⣻⢾⢽⡽⡬⡄⠄⠄⡀
⠄⠄⠄⠄⠂⢽⢝⢮⢫⡳⡻⡽⡽⡝⣗⢟⡯⣯⢵⠐⠄
⠄⠄⠄⠄⠄⠈⡲⡱⡱⡱⡡⣣⣣⢝⣜⣗⢯⠺⢅⠐⡇
⠄⠄⠄⠄⠄⡂⡢⢯⢗⡮⠚⠗⠋⠟⠳⠻⢇⣗⠄⡨⡒
⠄⠄⠄⠄⠄⠈⠄⠁⠁⣵⣄⠄⠄⠄⠂⣀⡤⣷⠱⣌⡇
⠄⠄⠄⠄⠄⠄⢀⢠⠄⣿⣿⣳⣦⣖⣟⢯⢿⡱⡭⡪⠃
⠄⠄⠄⠄⠄⠐⢕⢇⠄⣾⢿⣞⢮⢺⣺⣕⢧⢯⢯
⠄⡌⣢⢿⣆⠄⠐⡁⠄⠄⢁⣰⢹⠳⣜⡾⡽⡕⣏⣄
⢧⣥⣟⠟⠛⡀⢑⠄⠄⢀⣈⣥⡭⣥⣕⢟⢗⠕⢌⣿⠄
⣶⣌⠿⢧⠫⢿⣀⠄⠠⢀⢀⣠⡨⣌⢎⠄⢁⣶⡿⠄⠄⠄
⢙⢻⣦⠄⡯⡇⠄⠄⠄⠄⡁⡑⠌⠊⠄⢠⠟⠉⠄⣴⠄⠄
⠄⢣⠄⣀⢑⠇⠄⠄⢀⠄⠠⠄⠄⠄⠐⠉⠄⠄⠄⠁⠄⠐
⢘⣼⣻⣮⡿⠄⠄⠄⠄⠄⠄⡀⡀⡄⣄⢶⠶⡻⣻⠏⠄⠈