⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⡦⠋⠄⠀⠀⠀⠀⠀⡠⠆⠀⠀⠄⠀⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠠⣀⣯⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣾⣿⡀⠀⠀⠀⠈⢄⢀⡠⠦⢧⠯⣱⠿⡊⣆⡢⡄⠀⠀⠀⠀⠀⠀
⠀⡣⣟⣿⡽⠆⠀⠀⠀⠀⠀⠀⠀⠈⣏⡟⣨⠄⠀⠀⢁⠠⠀⣰⢋⠯⢨⠑⠪⠙⠌⡯⢶⣡⡀⠀⠀⠀⠀⠀
⠀⢈⢻⡻⡻⣐⡄⠄⠀⠀⠀⠀⠀⠈⠏⢴⡾⡎⠀⡀⠀⠉⢐⡋⡰⢁⠡⠈⠀⠀⠈⠐⠇⢧⠡⣐⠀⠀⠀⠀
⠀⠐⢘⣗⢗⢔⡧⠢⡀⠀⠀⠀⠀⠀⢺⠽⠢⡀⠀⢀⠐⠌⣄⡻⠓⠀⠀⠀⠀⠀⠀⠀⠈⠨⣙⠋⠀⠐⠀⠀
⠀⢀⠏⠃⡃⠀⠊⣒⠑⠑⠀⠀⠀⠀⠘⣍⢭⠖⠀⠄⠀⠀⢺⡡⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠨⢥⠧⡀⠀⡀
⠀⠠⢈⢯⡤⠄⠀⠀⠝⢌⠨⡄⠀⠀⠐⠶⢍⣣⠀⠀⠂⠂⣒⡁⣝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⢳⣀⠄⠀
⠀⠀⢀⢨⠾⠀⠀⠀⠁⠊⡔⡦⡀⠀⠀⠘⠘⣷⠂⠀⠒⡀⢐⡅⢃⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢞⡟⠪⠠⠐
⠀⠀⠔⠸⢅⠊⠀⠀⠀⠀⠈⢕⣍⣔⠄⠣⣪⢧⠄⠀⠀⠀⠐⣔⢉⣁⠄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣙⢆⠂⠀
⠀⠀⠀⠤⡏⣆⠀⠀⠀⠀⠀⢡⠅⢶⣀⣡⡅⣼⠄⠀⠀⠀⠁⠌⣞⢓⠘⠀⠀⠀⠀⠀⠀⠀⠈⡬⢝⢔⠀⠈
⠀⠀⠀⡔⡭⡊⠀⠀⠀⠀⠀⠀⠀⢀⣎⣕⣧⣿⡃⠀⠀⠀⠀⠀⠃⣑⡔⡇⠃⡀⠀⠀⠀⠀⢠⢲⣲⠡⠄⠀
⠀⠀⠀⢑⣍⢗⠀⠀⠀⠀⠀⠀⠀⠀⣰⣯⣿⣿⡃⠀⠀⠀⠀⠀⠀⠘⠒⡅⡴⡢⠁⡄⡐⣀⢞⣹⣉⠀⠀⠀
⠀⠀⠀⠻⣭⣟⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣯⣯⡟⠀⠀⠀⠀⠀⠀⠈⠀⠡⢖⡉⣎⠕⢇⡏⡷⠋⠀⠀⠀⠀
⠀⠀⠀⡁⡉⠹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡄⠛⠀⠀⠀⠀⠀⠀⠀⠈⠠⢁⠏⢁⡊⠹⠵⠁⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠈⠈⠀⠀⠀⠀⠀⠀⠀