⣄⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⡇
⠟⠁⠁⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⠀⡇
⠀⠀⠬⡠⡂⠀⠀⠀⠀⠀⠀⠀⠀⠄⣢⣜⠓⢀⣄⣀⣀⣇⡀⠀⠀⠀⠀⠀⠀⡇
⠀⠠⢸⡐⡁⠀⠀⠀⠀⠀⠀⠀⠀⣾⢄⡰⠥⠎⣙⣔⡆⠏⠀⠀⠀⠀⠀⠀⠀⡇
⢰⣾⣶⣾⡆⠀⠀⠀⠀⠀⠓⠀⠀⠉⢴⢠⡰⡠⠞⣑⢲⠀⠀⠀⠀⠀⠀⠀⠀⠁
⢀⣿⣿⣿⡇⠀⠀⠀⠁⠑⠀⠀⠀⠈⣰⣔⡀⠘⠋⣐⣴⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠉⠉⠉⠁⠀⠒⠀⠀⠀⠆⠀⠀⠅⢆⣀⠆⢀⠀⢲⣀⠖⠁⠀⢀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢪⡀⠈⠀⢐⠑⠀⢅⠀⠐⠐⠀⠰⠀⠀⠀⠀⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡁⠀⠀⣀⡁⠡⠿⠀⡀⢀⢠⢁⣈⠀⠀⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⢄⣀⠈⠉⠁⡀⠜⠄⠀⠀⠈⠐⠄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠘⠇⠀⣀⡌⠉⢭⠁⠀⠀⠄⠀⠀⠀⠀⠀⢂⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⡆⠐⠀⠀⠀⠀⣀⣁⣀⣀⡀⠀⠀⠈⠀⠀
⠀⡇⠀⠀⠀⢀⠀⢀⡀⠄⠀⡀⠐⠠⣰⠌⠆⠀⠤⣀⠙⠋⢉⢿⣿⣿⣿⢀⠀⠀
⢰⣁⢠⣄⠠⡠⢃⠎⢳⠝⣷⡅⠀⡀⠠⠀⣠⠁⣀⣀⡀⣢⢐⡨⠛⠻⠃⠌⠀⠀
⡟⢍⡃⣹⢐⡾⣇⠵⠌⡨⠁⡠⠀⢑⠆⢨⡤⢛⡿⣿⣷⢍⢳⠑⢀⢡⣍⠠⡀⠀
⣥⣠⠗⡠⠭⠠⠰⠀⢄⠨⣄⠅⢐⢖⢠⠈⢰⣁⣎⣹⣿⣧⠊⢘⣇⢥⠗⡃⡣⢸
⣿⣅⠒⠁⠀⠈⢈⡩⠢⡢⢅⣠⡡⠄⣡⠖⠟⣿⢒⢞⣿⣷⣂⡣⠀⣡⠰⠸⡰⢸