⠄⠄⠄⠄⢀⡤⣖⣞⣮⢾⢽⣳⢯⢿⢷⣦⣄⠄⠄⠐⠄
⠐⠄⠄⣴⣯⣯⢷⣻⣺⢽⣫⢾⣝⡵⡯⣾⣽⢷⣄⠄⠄
⠄⢀⣼⢿⡽⣾⢯⣷⣻⣽⢽⣳⣳⢽⡺⡮⣫⢯⢿⣦⠄
⠄⣼⣿⢽⡯⣿⡽⣾⡿⣞⣯⢷⢯⢯⢯⢯⡺⡪⡳⣻⠄
⣴⣿⣿⣽⣟⣷⣟⣯⣿⡽⣞⣯⢿⡽⡽⡵⣝⢮⣫⣺⠄
⠄⠄⠉⠉⠛⠛⠛⠛⠛⠻⠿⠿⠿⣿⣿⡿⣿⣽⣾⣾⡀
⠐⡀⠢⠄⡀⠄⢀⣄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⠣
⡀⠂⠈⣪⣌⡤⢾⠿⠕⢤⣤⣨⣠⢤⠡⠄⠄⡌⠄⡐⡐
⠐⠈⠄⠱⣻⡻⠶⢦⠶⠯⠟⢟⢯⢳⢩⡂⡆⡇⡐⡐⢌
⢁⠐⠄⠈⣾⣓⢝⣛⡛⡗⣞⣗⢕⡕⢕⠕⡸⡀⠂⠌⡂
⡀⠂⡁⠄⡿⣕⢷⣻⢽⢝⢞⢮⢳⠑⠅⢑⢜⠜⣬⢐⢈
⠄⢁⣀⣴⠋⠪⠳⠹⠵⠹⠘⠈⠂⠁⡐⡸⡘⣠⡳⡣⣪
⣽⢟⣿⡣⠄⢸⡄⠠⠠⡠⢠⢐⠨⡐⣴⣹⡨⣞⣎⢎⢺
⠏⠟⠛⠃⠄⠘⠛⠊⠊⠘⠐⠅⠇⠻⠛⠓⠛⠛⠪⠓⠹
ᶠᶸᶜᵏᵧₒᵤ
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢟⢞⠳⢄⡀⠀⠀⠀⡠⡷⠫⡄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠥⢰⣎⣚⢦⣶⡲⣶⣷⣦⡞⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣝⢳⣳⣿⣾⠍⢁⣚⠿⢵
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡻⣋⣫⠶⠯⢿⣾⣞⡤⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠉⡿⣿⣷⣧⡅⢠⡄⣸⣫⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣪⠅⣽⣿⣯⢶⢤⡴⢙⣻⣿⣟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠜⠥⣚⣯⣺⢏⣼⡲⠉⢟⣿⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⡯⢤⣽⣾⣷⠿⠟⡉⢆⢇⠀⠠⣻⣝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⡯⡎⣽⣛⠌⠋⠉⠀⠀⠉⠀⠚⠮⣾⣴⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢩⡝⠫⠓⢴⡾⠁⠀⠀⠀⠀⠀⠀⠀⠁⠂⠈⠘⠃⠊⠀
⠀⠀⠀⠀⠀⠀⠀⢀⠔⠉⠀⠀⠀⠁⠱⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠲
⠀⠀⠀⠀⠀⢀⠀⠁⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠪⢻
⠀ ⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠝
⠀⠀⠀⢒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣿⡑⢄⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡗
⠀⠀⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢹⢰⣱⡀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣎
⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⡆⢡⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡤⢵⠃⠀⠀⠀⠀⠀⣀⡤⠐⢶⡒⠒⠀⠒⠠⢄
⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣸⡜⠀⠀⠀⡴⠉⣁⢤⠰⠖⢒⢈⡀⠒⢂⣄
⠀⠀⡼⡄⠀⠀⢀⢠⠠⠀⠲⢲⠒⠠⠄⣀⠀⠀⠏⣓⠣⡀⡜⢁⡶⠃⡠⠐⠈⠁⠀⣀⠀⠏
⠀⠀ ⣡⠀⡴⠋⢀⠠⡐⠒⠶⠶⠢⣄⡈⠳⣄⡰⡟⢝⠓⢷⠍⢠⠞⠁⢀⠴⠚⠩⢉⢰⠀
⠀⠀⠀⠀⢻⡠⠊⢁⠠⠐⠂⠀⠈⠐⠠⢌⠓⢌⡁⠤⠺⠶⠾⢴⠁⢀⠘⢁⣠⣲⠝⠊⠁⠏⠀