application/x-pef+xml
Sensus Braille
⠀⠀⠏⠗⠁⠭⠜⠒⠀⠑⠝⠐⠊⠎⠓⠽⠎⠜⠀⠞⠜⠎⠀⠀⠀⠀⠀⠀⠀
⠊⠅⠁⠝⠐⠕⠞⠜⠞⠁⠎⠀⠙⠊⠁⠓⠑⠐⠊⠗⠊⠎⠜⠎⠀⠀⠀⠀⠀
⠏⠗⠕⠎⠞⠁⠞⠱⠐⠕⠍⠑⠝⠚⠝⠀⠏⠑⠗⠊⠕⠓⠐⠚⠝⠀⠀⠀⠀
⠍⠐⠑⠎⠚⠀⠍⠊⠁⠎⠀⠅⠣⠝⠕⠞⠐⠕⠍⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠍⠑⠹⠕⠙⠕⠇⠕⠛⠐⠊⠁⠎⠀⠛⠊⠁⠀⠞⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠃⠊⠚⠎⠊⠍⠐⠕⠞⠜⠞⠁⠀⠀⠃⠊⠕⠃⠉⠁⠗⠑⠀⠲⠀⠀⠀⠀⠀
⠀⠀⠎⠞⠕⠀⠏⠇⠁⠐⠊⠎⠊⠕⠀⠞⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠛⠗⠐⠁⠍⠍⠁⠞⠕⠎⠀⠙⠊⠁⠎⠽⠝⠕⠗⠊⠁⠅⠐⠜⠎⠀
⠎⠽⠝⠑⠗⠛⠁⠎⠐⠊⠁⠎⠀⠊⠝⠞⠑⠗⠗⠑⠛⠀⠧⠀⠁⠀⠀⠀⠀
⠑⠇⠇⠁⠙⠁⠀⠃⠥⠇⠛⠁⠗⠊⠁⠀⠼⠃⠚⠁⠙⠀⠃⠚⠃⠚⠲⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠑⠎⠚⠞⠑⠗⠊⠅⠜⠀⠁⠝⠁⠋⠕⠗⠁⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠽⠍⠏⠑⠗⠐⠁⠎⠍⠁⠞⠁⠀⠅⠣⠀⠙⠊⠙⠐⠁⠛⠍⠁⠞⠁⠀⠀
⠁⠏⠐⠕⠀⠞⠊⠎⠀⠑⠏⠊⠹⠑⠚⠗⠐⠜⠎⠩⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠎⠀⠎⠞⠊⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠪⠅⠕⠙⠊⠁⠙⠗⠕⠍⠐⠑⠎⠀⠞⠥⠀⠐⠑⠗⠛⠥⠀⠀⠀⠀⠀⠀⠀
⠃⠊⠕⠃⠉⠁⠗⠑⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠞⠐⠽⠏⠕⠎⠀⠑⠛⠛⠗⠐⠁⠋⠥⠒⠀⠁⠝⠁⠋⠕⠗⠐⠁⠀⠲
⠀⠀⠙⠊⠁⠃⠐⠁⠹⠍⠊⠎⠜⠒⠀⠑⠎⠚⠞⠑⠗⠊⠅⠐⠕⠲⠀⠀⠀
⠀⠀⠐⠑⠅⠙⠕⠎⠜⠒⠀⠞⠑⠇⠊⠅⠐⠜⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠜⠍⠑⠗⠕⠍⠜⠝⠐⠊⠁⠒⠀⠼⠁⠛⠲⠁⠃⠲⠃⠚⠃⠚⠲⠀⠀
⠀⠀⠏⠁⠅⠐⠑⠞⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠗⠛⠁⠎⠐⠊⠁⠎⠀⠏⠁⠗⠁⠙⠕⠞⠐⠑⠕⠒⠀⠺⠏⠑⠲⠀⠀⠀
⠊⠝⠞⠑⠛⠗⠁⠞⠑⠙⠀⠁⠏⠏⠗⠕⠁⠉⠓⠀⠀⠀⠏⠕⠇⠊⠉⠽⠀
⠗⠑⠉⠕⠍⠍⠑⠝⠙⠁⠞⠊⠕⠝⠀⠀⠀⠙⠑⠲⠑⠲⠙⠀⠀⠀⠀⠀⠀
⠑⠎⠁⠍⠑⠁⠀⠧⠊⠎⠊⠞⠊⠝⠛⠀⠁⠝⠙⠀⠏⠗⠕⠍⠕⠞⠊⠝⠛
⠞⠓⠑⠀⠝⠑⠺⠀⠏⠁⠞⠓⠺⠁⠽⠎⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁
⠀⠀⠎⠐⠽⠝⠞⠕⠍⠜⠀⠏⠑⠗⠊⠛⠗⠁⠋⠐⠜⠒⠀⠞⠕⠀⠀⠀⠀
⠏⠁⠗⠐⠕⠝⠀⠁⠏⠕⠞⠑⠇⠑⠐⠊⠀⠞⠜⠝⠀⠞⠑⠇⠊⠅⠐⠜⠀
⠐⠑⠅⠹⠑⠎⠜⠀⠞⠜⠎⠀⠛⠝⠐⠚⠎⠜⠎⠀⠏⠥⠀⠀⠀⠀⠀⠀⠀
⠎⠽⠎⠎⠚⠗⠑⠐⠽⠞⠜⠅⠑⠀⠁⠏⠐⠕⠀⠞⠜⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠑⠭⠁⠛⠚⠛⠐⠜⠀⠑⠏⠊⠹⠑⠚⠗⠐⠜⠎⠑⠚⠝⠀⠀⠀⠀⠀
⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠎⠀⠎⠞⠁⠀⠝⠐⠑⠁⠀⠀⠀⠀
⠪⠅⠕⠇⠕⠛⠊⠅⠐⠁⠀⠍⠕⠝⠕⠏⠐⠁⠞⠊⠁⠀⠏⠥⠀⠀⠀⠀⠀
⠎⠓⠑⠙⠊⠐⠁⠎⠞⠜⠅⠁⠝⠀⠅⠣⠀⠏⠁⠗⠁⠙⠐⠕⠹⠜⠅⠁⠝
⠎⠞⠕⠀⠏⠇⠁⠐⠊⠎⠊⠕⠀⠞⠥⠀⠐⠑⠗⠛⠥⠀⠀⠀⠀⠀⠀⠀⠀
⠃⠊⠕⠃⠉⠁⠗⠑⠲⠀⠎⠽⠝⠕⠯⠐⠊⠵⠩⠒⠀⠀⠁⠀⠀⠞⠁⠀⠀
⠎⠽⠍⠏⠑⠗⠐⠁⠎⠍⠁⠞⠁⠀⠞⠚⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠹⠑⠚⠗⠐⠜⠎⠑⠚⠝⠀⠡⠞⠕⠯⠊⠐⠚⠝⠀⠎⠞⠁⠀⠀⠀
⠝⠐⠑⠁⠀⠍⠕⠝⠕⠏⠐⠁⠞⠊⠁⠀⠎⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠑⠗⠁⠍⠚⠞⠐⠜⠀⠅⠣⠀⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠁⠗⠁⠝⠛⠁⠇⠊⠞⠎⠁⠂⠀⠅⠣⠀⠀⠃⠀⠀⠞⠁⠀⠀⠀⠀⠀⠀
⠙⠊⠙⠐⠁⠛⠍⠁⠞⠁⠀⠁⠏⠐⠕⠀⠞⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠓⠗⠐⠜⠎⠜⠀⠑⠋⠁⠗⠍⠕⠛⠐⠜⠀⠎⠞⠜⠝⠀⠏⠗⠐⠁⠭⠜⠀
⠞⠥⠀⠦⠕⠙⠜⠛⠕⠐⠽⠀⠛⠊⠁⠀⠏⠗⠕⠎⠃⠐⠁⠎⠊⠍⠑⠎⠀
⠙⠊⠁⠙⠗⠕⠍⠐⠑⠎⠀⠎⠞⠜⠀⠋⠐⠽⠎⠜⠦⠀⠅⠣⠀⠀⠀⠀⠀
⠊⠙⠐⠊⠚⠎⠀⠞⠥⠀⠝⠐⠑⠥⠀⠎⠐⠽⠎⠞⠜⠍⠁⠀⠀⠀⠀⠀⠀
⠁⠭⠊⠕⠇⠐⠕⠛⠜⠎⠜⠎⠀⠏⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠑⠗⠊⠇⠁⠍⠃⠐⠁⠝⠑⠞⠣⠀⠎⠑⠀⠡⠞⠐⠕⠝⠲⠀⠜⠀⠀⠀
⠐⠑⠅⠹⠑⠎⠜⠀⠙⠊⠁⠞⠐⠊⠹⠑⠞⠣⠀⠎⠑⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠝⠁⠇⠇⠁⠅⠞⠊⠅⠐⠑⠎⠀⠍⠕⠗⠋⠐⠑⠎⠀⠛⠊⠁⠀⠀⠀⠀
⠙⠊⠐⠁⠋⠕⠗⠥⠎⠀⠞⠐⠽⠏⠥⠎⠀⠁⠝⠁⠛⠝⠚⠎⠞⠐⠚⠝⠀
⠍⠑⠀⠁⠝⠁⠏⠜⠗⠐⠊⠁⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠙⠊⠅⠣⠥⠓⠕⠎⠀⠞⠜⠎⠀⠏⠗⠁⠭⠜⠎⠒⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠑⠹⠝⠊⠅⠜⠀⠎⠽⠝⠕⠍⠕⠎⠏⠕⠝⠙⠊⠁⠀⠁⠞⠕⠍⠚⠝
⠍⠑⠀⠁⠝⠁⠏⠜⠗⠊⠁⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠑⠇⠱⠹⠑⠗⠐⠊⠥⠀⠃⠑⠝⠊⠵⠐⠑⠇⠥⠀⠼⠃⠉⠋⠂⠀⠀
⠼⠁⠋⠉⠀⠼⠙⠁⠀⠜⠇⠊⠕⠐⠽⠏⠕⠇⠜⠂⠀⠁⠹⠐⠜⠝⠁⠲⠀
⠀⠀⠞⠜⠇⠲⠒⠀⠼⠃⠁⠚⠀⠼⠊⠊⠀⠼⠙⠊⠀⠼⠓⠀⠼⠉⠛⠲⠀
⠀⠀⠑⠀⠍⠁⠊⠇⠒⠀⠑⠎⠁⠑⠁⠀⠕⠞⠑⠝⠑⠞⠲⠛⠗⠲⠀⠀⠀
⠀⠀⠊⠎⠞⠕⠎⠑⠇⠐⠊⠙⠁⠒⠀⠺⠺⠺⠲⠑⠎⠁⠑⠁⠲⠛⠗⠲⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠁⠝⠁⠙⠕⠓⠕⠎⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠙⠕⠍⠜⠀⠁⠝⠁⠏⠞⠽⠭⠜⠎⠀⠊⠅⠑⠲⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠕⠍⠕⠝⠕⠐⠊⠁⠎⠀⠼⠁⠉⠉⠂⠀⠼⠋⠑⠀⠼⠙⠚⠉⠀⠀⠀
⠅⠁⠃⠐⠁⠇⠁⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠞⠜⠇⠲⠒⠀⠼⠃⠑⠁⠚⠀⠼⠃⠁⠀⠼⠁⠚⠀⠼⠋⠉⠀⠅⠣⠀
⠼⠋⠙⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠑⠀⠍⠁⠊⠇⠒⠀⠊⠝⠋⠕⠀⠙⠕⠍⠊⠅⠕⠊⠝⠑⠏⠲⠛⠗⠲
⠀⠀⠊⠎⠞⠕⠎⠑⠇⠐⠊⠙⠁⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠺⠺⠺⠲⠙⠕⠍⠊⠅⠕⠊⠝⠑⠏⠲⠛⠗⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠑⠥⠗⠕⠏⠗⠁⠭⠊⠎⠀⠍⠊⠀⠊⠅⠑⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠃⠐⠑⠗⠛⠁⠎⠀⠼⠙⠀⠀⠑⠐⠊⠎⠕⠙⠕⠎⠀⠀⠅⠣⠀⠀⠀
⠑⠇⠱⠹⠑⠗⠐⠊⠥⠀⠃⠑⠝⠊⠵⠐⠑⠇⠥⠀⠼⠃⠑⠁⠂⠀⠀⠀⠀
⠼⠁⠛⠋⠀⠼⠛⠉⠀⠅⠁⠇⠇⠊⠹⠐⠑⠁⠂⠀⠁⠹⠐⠜⠝⠁⠲⠀⠀
⠀⠀⠞⠜⠇⠲⠒⠀⠼⠃⠁⠚⠀⠼⠊⠑⠀⠼⠃⠁⠀⠼⠉⠀⠼⠁⠉⠲⠀
⠀⠀⠑⠀⠍⠁⠊⠇⠒⠀⠊⠝⠋⠕⠀⠑⠥⠗⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠁⠭⠊⠎⠲⠉⠕⠍⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠊⠎⠞⠕⠎⠑⠇⠐⠊⠙⠁⠒⠀⠺⠺⠺⠲⠑⠥⠗⠕⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠉
⠏⠗⠁⠭⠊⠎⠲⠉⠕⠍⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠏⠑⠗⠊⠑⠓⠐⠕⠍⠑⠝⠁⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠎⠑⠇⠐⠊⠙⠁⠀⠼⠋⠒⠀⠅⠑⠋⠐⠁⠇⠣⠕⠀⠼⠁⠲⠀⠀⠀
⠎⠽⠍⠏⠑⠗⠐⠁⠎⠍⠁⠞⠁⠀⠞⠚⠝⠀⠡⠞⠕⠯⠊⠐⠚⠝⠲⠀⠀
⠀⠀⠎⠑⠇⠐⠊⠙⠁⠀⠼⠋⠒⠀⠽⠏⠕⠅⠑⠋⠐⠁⠇⠣⠕⠀⠀⠀⠀
⠼⠁⠲⠁⠲⠀⠝⠐⠑⠁⠀⠪⠅⠕⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠎⠞⠜⠝⠀
⠅⠑⠗⠁⠍⠚⠞⠐⠜⠂⠀⠎⠞⠕⠀⠙⠐⠁⠎⠕⠎⠀⠅⠕⠞⠵⠐⠁⠀
⠕⠗⠍⠐⠁⠝⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠎⠑⠇⠐⠊⠙⠁⠀⠼⠁⠃⠒⠀⠽⠏⠕⠅⠑⠋⠐⠁⠇⠣⠕⠀⠀⠀
⠼⠁⠲⠃⠀⠝⠐⠑⠁⠀⠪⠅⠕⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠎⠞⠕⠀⠀⠀
⠋⠽⠎⠊⠅⠐⠕⠀⠅⠁⠞⠁⠋⠐⠽⠛⠊⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠁⠗⠁⠝⠛⠁⠇⠊⠞⠎⠁⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠎⠑⠇⠐⠊⠙⠁⠀⠼⠁⠓⠒⠀⠅⠑⠋⠐⠁⠇⠣⠕⠀⠀⠼⠃⠲⠀
⠙⠊⠙⠐⠁⠛⠍⠁⠞⠁⠀⠁⠏⠐⠕⠀⠞⠜⠀⠓⠗⠐⠜⠎⠜⠀⠀⠀⠀
⠎⠞⠜⠝⠀⠏⠗⠐⠁⠭⠜⠀⠞⠥⠀⠕⠙⠜⠛⠕⠐⠽⠀⠀⠀⠀⠀⠀⠀
⠃⠊⠕⠃⠉⠁⠗⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠩⠎⠁⠛⠚⠛⠐⠜⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠎⠞⠕⠀⠏⠇⠁⠐⠊⠎⠊⠕⠀⠞⠜⠎⠀⠏⠗⠐⠁⠭⠜⠎⠀⠀⠀
⠀⠑⠝⠐⠊⠎⠓⠽⠎⠜⠀⠞⠜⠎⠀⠊⠅⠁⠝⠐⠕⠞⠜⠞⠁⠎⠀⠀⠀
⠙⠊⠁⠓⠑⠐⠊⠗⠊⠎⠜⠎⠀⠏⠗⠕⠎⠞⠁⠞⠱⠐⠕⠍⠑⠝⠚⠝⠀
⠏⠑⠗⠊⠕⠓⠐⠚⠝⠀⠍⠐⠑⠎⠚⠀⠍⠊⠁⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠣⠝⠕⠞⠐⠕⠍⠥⠀⠍⠑⠹⠕⠙⠕⠇⠕⠛⠐⠊⠁⠎⠀⠛⠊⠁⠀⠀
⠞⠜⠀⠃⠊⠚⠎⠊⠍⠐⠕⠞⠜⠞⠁⠀⠀⠃⠊⠕⠃⠉⠁⠗⠑⠀⠀⠂⠀
⠜⠀⠑⠞⠣⠗⠐⠊⠁⠀⠑⠥⠗⠕⠏⠗⠁⠭⠊⠎⠀⠍⠊⠅⠑⠂⠀⠍⠑
⠓⠗⠐⠕⠝⠊⠁⠀⠑⠍⠏⠩⠗⠐⠊⠁⠎⠀⠎⠑⠀⠐⠑⠗⠛⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠙
⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠎⠀⠛⠊⠁⠀⠐⠁⠞⠕⠍⠁⠀⠀
⠍⠑⠀⠁⠝⠁⠏⠜⠗⠐⠊⠁⠂⠀⠁⠝⠐⠑⠇⠁⠃⠑⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠐⠕⠏⠊⠝⠀⠁⠝⠐⠁⠹⠑⠎⠜⠎⠀⠁⠏⠐⠕⠀⠞⠜⠝⠀⠀
⠑⠹⠝⠊⠅⠐⠜⠀⠎⠽⠝⠕⠍⠕⠎⠏⠕⠝⠙⠐⠊⠁⠎⠀⠀⠀⠀⠀⠀
⠁⠞⠐⠕⠍⠚⠝⠀⠍⠑⠀⠁⠝⠁⠏⠜⠗⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠑⠲⠎⠲⠁⠲⠍⠑⠁⠲⠀⠂⠀⠜⠀⠕⠏⠕⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀
⠎⠽⠍⠍⠑⠞⠐⠁⠎⠓⠩⠀⠎⠞⠜⠝⠀⠏⠗⠐⠁⠭⠜⠀⠀⠀⠀⠀⠀
⠃⠊⠕⠃⠉⠁⠗⠑⠀⠚⠎⠀⠙⠊⠅⠣⠕⠐⠽⠓⠕⠎⠂⠀⠝⠁⠀⠀⠀
⠁⠝⠁⠏⠞⠐⠽⠭⠩⠀⠐⠑⠝⠁⠝⠀⠏⠗⠐⠕⠞⠽⠏⠕⠀⠀⠀⠀⠀
⠕⠙⠜⠛⠐⠕⠀⠛⠊⠁⠀⠏⠗⠕⠎⠃⠐⠁⠎⠊⠍⠑⠎⠀⠀⠀⠀⠀⠀
⠙⠊⠁⠙⠗⠕⠍⠐⠑⠎⠀⠎⠞⠜⠀⠋⠐⠽⠎⠜⠲⠀⠕⠀⠑⠝⠀⠀⠀
⠇⠐⠕⠛⠚⠀⠕⠙⠜⠛⠐⠕⠎⠀⠁⠝⠁⠏⠞⠐⠽⠓⠹⠜⠅⠑⠀⠍⠑
⠅⠐⠽⠗⠊⠕⠀⠎⠞⠐⠕⠓⠕⠀⠝⠁⠀⠽⠏⠕⠎⠞⠜⠗⠐⠊⠭⠩⠀
⠞⠜⠝⠀⠙⠜⠍⠊⠥⠗⠛⠐⠊⠁⠀⠙⠐⠽⠕⠀⠝⠐⠑⠚⠝⠀⠀⠀⠀
⠏⠗⠕⠎⠃⠐⠁⠎⠊⠍⠚⠝⠀⠪⠅⠕⠙⠊⠁⠙⠗⠕⠍⠐⠚⠝⠀⠀⠀
⠁⠝⠁⠯⠽⠓⠐⠜⠎⠀⠅⠣⠀⠏⠁⠗⠁⠞⠐⠜⠗⠜⠎⠜⠎⠀⠀⠀⠀
⠏⠞⠜⠝⠐⠚⠝⠀⠎⠞⠊⠎⠀⠙⠽⠕⠀⠓⠐⠚⠗⠑⠎⠀⠞⠥⠀⠀⠀
⠏⠗⠕⠛⠗⠐⠁⠍⠍⠁⠞⠕⠎⠀⠙⠊⠁⠎⠽⠝⠕⠗⠊⠁⠅⠐⠜⠎⠀
⠎⠽⠝⠑⠗⠛⠁⠎⠐⠊⠁⠎⠀⠀⠊⠝⠞⠑⠗⠗⠑⠛⠀⠧⠀⠁⠀⠀⠀
⠛⠗⠑⠑⠉⠑⠀⠃⠥⠇⠛⠁⠗⠊⠁⠀⠼⠃⠚⠁⠙⠀⠃⠚⠃⠚⠀⠀⠀
⠀⠑⠇⠇⠐⠁⠙⠁⠀⠅⠣⠀⠃⠥⠇⠛⠁⠗⠐⠊⠁⠀⠲⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠎⠞⠕⠀⠏⠇⠁⠐⠊⠎⠊⠕⠀⠡⠞⠐⠕⠂⠀⠕⠀⠀⠀⠀⠀⠀⠀
⠕⠙⠜⠛⠐⠕⠎⠀⠀⠃⠇⠲⠀⠍⠐⠑⠗⠕⠎⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠎⠋⠐⠑⠗⠩⠀⠎⠽⠛⠅⠑⠅⠗⠊⠍⠐⠑⠝⠑⠎⠂⠀⠀⠀⠀
⠎⠐⠽⠝⠝⠕⠍⠑⠎⠀⠅⠣⠀⠏⠗⠁⠅⠞⠊⠅⠐⠑⠎⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠱⠹⠽⠝⠞⠐⠜⠗⠊⠑⠎⠀⠛⠗⠁⠍⠍⠐⠑⠎⠀⠀⠀⠀⠀⠀
⠀⠁⠛⠛⠇⠲⠀⠛⠥⠊⠙⠑⠇⠊⠝⠑⠎⠀⠂⠀⠎⠐⠽⠍⠋⠚⠝⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠑
⠍⠑⠀⠞⠜⠝⠀⠑⠹⠝⠊⠅⠐⠜⠀⠝⠕⠍⠕⠹⠑⠎⠐⠊⠁⠀⠞⠚⠝
⠙⠐⠽⠕⠀⠓⠚⠗⠐⠚⠝⠀⠅⠣⠀⠁⠭⠊⠕⠏⠪⠐⠚⠝⠞⠁⠎⠀⠀
⠏⠗⠕⠙⠊⠁⠛⠗⠁⠋⠐⠑⠎⠂⠀⠕⠙⠜⠛⠐⠊⠑⠎⠀⠅⠣⠀⠀⠀
⠅⠁⠇⠐⠑⠎⠀⠏⠗⠁⠅⠞⠊⠅⠐⠑⠎⠀⠁⠏⠐⠕⠀⠞⠕⠀⠀⠀⠀
⠱⠗⠚⠏⠁⠐⠊⠅⠐⠕⠀⠅⠣⠀⠙⠊⠑⠹⠝⠐⠑⠎⠀⠀⠀⠀⠀⠀⠀
⠏⠑⠗⠊⠃⠐⠁⠇⠇⠕⠝⠂⠀⠏⠗⠕⠅⠩⠍⠐⠑⠝⠥⠀⠜⠀⠀⠀⠀
⠑⠏⠐⠊⠎⠅⠑⠯⠜⠀⠎⠞⠊⠎⠀⠝⠐⠑⠑⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠪⠅⠕⠙⠊⠁⠙⠗⠕⠍⠐⠑⠎⠀⠝⠁⠀⠑⠐⠊⠝⠣⠀⠀⠀⠀⠀⠀⠀
⠑⠋⠊⠅⠞⠐⠜⠀⠅⠣⠀⠊⠅⠁⠝⠕⠏⠪⠜⠞⠊⠅⠐⠜⠀⠛⠊⠁⠀
⠞⠕⠀⠍⠑⠛⠁⠇⠐⠽⠞⠑⠗⠕⠀⠙⠽⠝⠁⠞⠐⠕⠀⠑⠐⠽⠗⠕⠎
⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠽⠍⠏⠑⠗⠊⠇⠁⠍⠃⠁⠝⠕⠍⠐⠑⠝⠚⠝⠀⠞⠚⠝⠀⠀⠀⠀⠀
⠁⠞⠐⠕⠍⠚⠝⠀⠍⠑⠀⠍⠩⠚⠍⠐⠑⠝⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠊⠝⠜⠞⠊⠅⠐⠕⠞⠜⠞⠁⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠎⠞⠜⠀⠎⠽⠝⠐⠑⠓⠩⠁⠂⠀⠍⠁⠀⠃⠐⠁⠎⠩⠀⠞⠊⠎⠀
⠕⠙⠜⠛⠐⠊⠑⠎⠀⠡⠞⠐⠑⠎⠂⠀⠎⠞⠕⠀⠏⠇⠁⠐⠊⠎⠊⠕⠀
⠞⠜⠎⠀⠏⠗⠐⠁⠭⠜⠎⠀⠃⠊⠕⠃⠉⠁⠗⠑⠂⠀⠕⠀⠀⠀⠀⠀⠀
⠙⠐⠜⠍⠕⠎⠀⠝⠐⠑⠎⠞⠥⠀⠀⠙⠊⠅⠣⠕⠐⠽⠓⠕⠎⠀⠞⠜⠎
⠏⠗⠐⠁⠭⠜⠎⠀⠀⠁⠝⠐⠑⠇⠁⠃⠑⠀⠝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠕⠇⠕⠅⠇⠜⠗⠐⠚⠎⠩⠀⠅⠣⠀⠁⠝⠕⠐⠊⠭⠩⠀⠎⠞⠕⠀⠀⠀
⠅⠪⠝⠐⠕⠀⠍⠊⠁⠀⠝⠐⠑⠁⠀⠪⠅⠕⠞⠥⠗⠊⠎⠞⠊⠅⠐⠜⠀
⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠑⠝⠞⠐⠕⠎⠀⠞⠥⠀⠑⠹⠝⠊⠅⠕⠐⠽⠀
⠏⠐⠁⠗⠅⠥⠀⠁⠝⠁⠞⠕⠇⠊⠅⠐⠜⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠍⠁⠅⠑⠙⠕⠝⠐⠊⠁⠎⠀⠹⠗⠐⠁⠅⠜⠎⠂⠀⠎⠞⠜⠝⠀⠀⠀⠀
⠏⠑⠗⠊⠕⠓⠐⠜⠀⠞⠥⠀⠙⠜⠍⠕⠞⠊⠅⠕⠐⠽⠀⠀⠀⠀⠀⠀⠀
⠞⠍⠐⠜⠍⠁⠞⠕⠎⠀⠅⠑⠗⠁⠍⠚⠞⠐⠜⠎⠀⠐⠕⠏⠥⠀⠀⠀⠀
⠃⠗⠐⠊⠎⠅⠑⠞⠣⠀⠞⠕⠀⠙⠐⠁⠎⠕⠎⠀⠅⠕⠞⠵⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠋
⠕⠗⠍⠁⠝⠂⠀⠑⠝⠐⠚⠀⠜⠀⠙⠊⠑⠐⠽⠹⠽⠝⠎⠜⠀⠞⠥⠀⠀
⠑⠹⠝⠊⠅⠕⠐⠽⠀⠏⠐⠁⠗⠅⠥⠀⠞⠜⠎⠀⠗⠐⠊⠇⠁⠀⠀⠀⠀
⠀⠑⠏⠐⠊⠎⠜⠎⠀⠙⠊⠅⠣⠕⠐⠽⠓⠕⠎⠀⠞⠜⠎⠀⠀⠀⠀⠀⠀
⠏⠗⠐⠁⠭⠜⠎⠀⠀⠝⠁⠀⠙⠜⠍⠊⠥⠗⠛⠐⠜⠎⠩⠀⠍⠊⠁⠀⠀
⠏⠗⠕⠎⠃⠐⠁⠎⠊⠍⠜⠀⠪⠅⠕⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠀⠀⠀⠀
⠑⠝⠞⠐⠕⠎⠀⠞⠥⠀⠏⠐⠁⠗⠅⠥⠀⠱⠹⠐⠽⠝⠜⠎⠀⠞⠜⠎⠂
⠎⠞⠜⠝⠀⠏⠑⠗⠊⠕⠓⠐⠜⠀⠞⠥⠀⠋⠽⠎⠊⠅⠕⠐⠽⠀⠀⠀⠀
⠅⠁⠞⠁⠋⠽⠛⠐⠊⠥⠀⠏⠁⠗⠁⠝⠛⠁⠇⠊⠞⠎⠁⠲⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠅⠁⠞⠐⠕⠏⠊⠝⠀⠞⠜⠎⠀⠕⠇⠕⠅⠇⠐⠜⠗⠚⠎⠜⠎⠀⠀
⠞⠚⠝⠀⠞⠑⠓⠝⠊⠅⠐⠚⠝⠀⠐⠑⠗⠛⠚⠝⠀⠎⠞⠁⠀⠙⠐⠽⠕
⠍⠕⠝⠕⠏⠐⠁⠞⠊⠁⠂⠀⠜⠀⠙⠕⠍⠐⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠝⠐⠁⠏⠞⠽⠭⠜⠎⠀⠊⠅⠑⠂⠀⠑⠅⠀⠍⠐⠑⠗⠥⠎⠀⠞⠜⠎
⠑⠹⠝⠊⠅⠐⠜⠎⠀⠎⠽⠝⠕⠍⠕⠎⠏⠕⠝⠙⠐⠊⠁⠎⠀⠀⠀⠀⠀
⠁⠞⠐⠕⠍⠚⠝⠀⠍⠑⠀⠁⠝⠁⠏⠜⠗⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠑⠲⠎⠲⠁⠲⠍⠑⠁⠲⠀⠂⠀⠁⠝⠐⠑⠇⠁⠃⠑⠀⠝⠁⠀⠀⠀⠀
⠑⠏⠊⠹⠑⠚⠗⠐⠜⠎⠩⠀⠎⠽⠝⠕⠇⠊⠅⠐⠁⠀⠞⠊⠎⠀⠙⠽⠕
⠡⠞⠐⠑⠎⠀⠝⠐⠑⠑⠎⠀⠪⠅⠕⠙⠊⠁⠙⠗⠕⠍⠐⠑⠎⠀⠚⠎⠀
⠏⠗⠕⠎⠀⠞⠜⠝⠀⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠀⠅⠣⠀⠀
⠋⠊⠇⠊⠅⠐⠕⠞⠜⠞⠐⠁⠀⠞⠥⠎⠀⠏⠗⠕⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠽⠝⠜⠞⠊⠅⠕⠐⠽⠎⠀⠑⠏⠊⠎⠅⠐⠑⠏⠞⠑⠎⠀⠍⠑⠀⠀⠀
⠁⠝⠁⠏⠜⠗⠐⠊⠁⠀⠅⠣⠀⠛⠑⠝⠊⠅⠐⠕⠞⠑⠗⠁⠀⠍⠑⠀⠀
⠍⠩⠚⠍⠐⠑⠝⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠊⠝⠜⠞⠊⠅⠐⠕⠞⠜⠞⠁⠀⠁⠝⠑⠭⠁⠗⠞⠜⠎⠐⠊⠁⠲⠀⠀
⠛⠊⠁⠀⠞⠊⠎⠀⠑⠝⠀⠇⠐⠕⠛⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠹⠑⠚⠗⠐⠜⠎⠩⠎⠂⠀⠜⠀⠑⠞⠣⠗⠐⠊⠁⠀⠀⠀⠀⠀⠀
⠁⠅⠕⠇⠕⠐⠽⠹⠜⠎⠑⠀⠞⠜⠀⠍⠑⠹⠕⠙⠕⠇⠕⠛⠐⠊⠁⠀⠀
⠅⠣⠀⠑⠋⠐⠁⠗⠍⠕⠎⠑⠀⠞⠊⠎⠀⠞⠑⠓⠝⠊⠅⠐⠑⠎⠀⠏⠥
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠛
⠏⠑⠗⠊⠛⠗⠐⠁⠋⠕⠝⠞⠣⠀⠎⠞⠕⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠁⠝⠁⠋⠑⠗⠐⠕⠍⠑⠝⠕⠀⠕⠙⠜⠛⠐⠕⠂⠀⠚⠎⠀⠀⠀
⠍⠐⠑⠗⠕⠎⠀⠞⠥⠀⠎⠽⠎⠞⠐⠜⠍⠁⠞⠕⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠭⠊⠕⠇⠐⠕⠛⠜⠎⠜⠎⠀⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠎
⠙⠊⠁⠙⠗⠕⠍⠐⠚⠝⠀⠎⠞⠜⠀⠋⠐⠽⠎⠜⠀⠏⠥⠀⠀⠀⠀⠀⠀
⠏⠑⠗⠊⠇⠁⠍⠃⠐⠁⠝⠑⠞⠣⠀⠎⠑⠀⠡⠞⠐⠕⠝⠀⠀⠃⠇⠲⠀
⠍⠐⠑⠗⠕⠎⠀⠃⠀⠀⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠪⠀⠎⠞⠐⠕⠓⠪⠀⠞⠜⠎⠀⠁⠭⠊⠕⠇⠐⠕⠛⠜⠎⠜⠎⠀⠀
⠎⠑⠀⠅⠐⠁⠹⠑⠀⠪⠅⠕⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠐⠜⠞⠁⠝⠒⠀
⠀⠀⠀⠀⠝⠁⠀⠑⠝⠞⠕⠏⠊⠎⠹⠕⠐⠽⠝⠀⠞⠽⠓⠐⠕⠝⠀⠀⠀
⠎⠜⠍⠑⠐⠊⠁⠀⠍⠜⠀⠎⠽⠍⠍⠐⠕⠗⠋⠚⠎⠜⠎⠀⠞⠥⠀⠀⠀
⠏⠁⠗⠁⠙⠊⠙⠐⠕⠍⠑⠝⠥⠀⠐⠑⠗⠛⠥⠀⠍⠑⠀⠞⠁⠀⠀⠀⠀
⠐⠕⠎⠁⠀⠕⠗⠐⠊⠵⠕⠝⠞⠣⠀⠎⠞⠕⠀⠍⠐⠑⠗⠕⠎⠀⠁⠀⠀
⠞⠥⠀⠕⠙⠜⠛⠕⠐⠽⠀⠅⠣⠀⠝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠁⠍⠕⠗⠋⠚⠹⠕⠐⠽⠝⠀⠏⠗⠕⠞⠐⠁⠎⠩⠎⠀⠛⠊⠁⠀⠀
⠍⠑⠇⠇⠕⠝⠞⠊⠅⠐⠑⠎⠀⠃⠑⠇⠞⠊⠐⠚⠎⠩⠎⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠝⠁⠀⠎⠽⠇⠇⠑⠓⠹⠕⠐⠽⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠝⠁⠇⠽⠞⠊⠅⠐⠑⠎⠀⠏⠇⠜⠗⠕⠋⠕⠗⠐⠊⠑⠎⠀⠅⠣⠀⠀
⠙⠑⠙⠕⠍⠐⠑⠝⠁⠀⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠎⠂⠀⠀
⠐⠚⠎⠞⠑⠀⠝⠁⠀⠙⠊⠁⠍⠕⠗⠋⠚⠹⠑⠐⠊⠀⠞⠕⠀⠀⠀⠀⠀
⠀⠏⠗⠕⠋⠐⠊⠇⠀⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠎⠀⠀⠅⠣
⠜⠀⠀⠙⠐⠜⠇⠚⠎⠜⠀⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠎⠀⠀
⠀⠃⠇⠲⠀⠕⠙⠜⠛⠐⠕⠎⠀⠍⠐⠑⠗⠕⠎⠀⠃⠀⠂⠀⠀⠀⠀⠀⠀
⠑⠝⠐⠕⠞⠜⠞⠑⠎⠀⠙⠃⠀⠅⠣⠀⠙⠉⠀⠀⠛⠊⠁⠀⠅⠐⠁⠹⠑
⠙⠊⠁⠙⠗⠕⠍⠐⠜⠂⠀⠛⠑⠛⠕⠝⠐⠕⠎⠀⠏⠥⠀⠀⠀⠀⠀⠀⠀
⠅⠗⠐⠊⠝⠑⠞⠣⠀⠁⠏⠁⠗⠁⠐⠊⠞⠜⠞⠕⠀⠛⠊⠁⠀⠞⠜⠝⠀
⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠂⠀⠑⠝⠜⠍⠐⠑⠗⠚⠎⠜⠀⠅⠣⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠓
⠏⠗⠕⠎⠐⠑⠇⠅⠽⠎⠜⠀⠀⠝⠐⠑⠚⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠽⠝⠜⠞⠊⠅⠐⠚⠝⠀⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠍⠑⠀⠀⠀⠀
⠍⠩⠚⠍⠐⠑⠝⠜⠀⠅⠊⠝⠜⠞⠊⠅⠐⠕⠞⠜⠞⠁⠲⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠝⠁⠀⠎⠓⠑⠙⠊⠁⠎⠞⠑⠐⠊⠀⠅⠁⠞⠐⠁⠇⠇⠜⠇⠕
⠽⠇⠊⠅⠐⠕⠀⠏⠗⠕⠐⠚⠹⠜⠎⠜⠎⠀⠅⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠍⠏⠐⠁⠝⠊⠑⠎⠀⠛⠊⠁⠀⠞⠜⠝⠀⠏⠗⠕⠐⠚⠹⠜⠎⠜⠀
⠞⠚⠝⠀⠝⠐⠑⠚⠝⠀⠪⠅⠕⠙⠊⠁⠙⠗⠕⠍⠐⠚⠝⠀⠎⠑⠀⠀⠀
⠝⠐⠑⠑⠎⠀⠁⠛⠕⠗⠐⠑⠎⠀⠑⠏⠊⠎⠅⠐⠑⠏⠞⠑⠎⠲⠀⠀⠀
⠀⠀⠽⠏⠐⠕⠀⠞⠕⠀⠏⠗⠐⠊⠎⠍⠁⠀⠞⠚⠝⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠁⠗⠁⠏⠐⠁⠝⠚⠂⠀⠏⠁⠗⠕⠐⠽⠎⠁⠀⠐⠑⠅⠹⠑⠎⠜⠀⠀
⠏⠑⠗⠊⠇⠁⠍⠃⠐⠁⠝⠩⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠞⠁⠀⠎⠽⠍⠏⠑⠗⠐⠁⠎⠍⠁⠞⠁⠀⠏⠥⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠐⠑⠅⠽⠯⠁⠝⠀⠁⠏⠐⠕⠀⠞⠜⠀⠙⠊⠑⠭⠁⠛⠚⠛⠐⠜
⠎⠽⠎⠞⠜⠍⠁⠞⠊⠅⠐⠚⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠇⠐⠑⠛⠓⠚⠝⠀⠡⠞⠕⠯⠊⠐⠚⠝⠀⠏⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠑⠝⠑⠗⠛⠐⠜⠹⠜⠅⠁⠝⠀⠁⠏⠐⠕⠀⠞⠜⠝⠀⠙⠕⠍⠐⠜
⠁⠝⠐⠁⠏⠞⠽⠭⠜⠎⠂⠀⠑⠅⠀⠍⠐⠑⠗⠥⠎⠀⠞⠜⠎⠀⠀⠀⠀
⠑⠹⠝⠊⠅⠐⠜⠎⠀⠎⠽⠝⠕⠍⠕⠎⠏⠕⠝⠙⠐⠊⠁⠎⠀⠀⠀⠀⠀
⠁⠞⠐⠕⠍⠚⠝⠀⠍⠑⠀⠁⠝⠁⠏⠜⠗⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠑⠲⠎⠲⠁⠲⠍⠑⠁⠲⠀⠂⠀⠎⠞⠊⠎⠀⠝⠐⠑⠑⠎⠀⠀⠀⠀⠀
⠪⠅⠕⠙⠊⠁⠙⠗⠕⠍⠐⠑⠎⠀⠞⠜⠎⠀⠏⠗⠐⠁⠭⠜⠎⠀⠀⠀⠀
⠃⠊⠕⠃⠉⠁⠗⠑⠀⠅⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠞⠁⠀⠙⠊⠙⠐⠁⠛⠍⠁⠞⠁⠀⠏⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠅⠐⠽⠏⠞⠥⠝⠀⠁⠏⠐⠕⠀⠞⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠓⠗⠐⠜⠎⠜⠀⠑⠋⠁⠗⠍⠕⠛⠐⠜⠀⠎⠞⠜⠝⠀⠏⠗⠐⠁⠭⠜⠀
⠞⠥⠀⠀⠕⠙⠜⠛⠕⠐⠽⠀⠛⠊⠁⠀⠏⠗⠕⠎⠃⠐⠁⠎⠊⠍⠑⠎⠀
⠙⠊⠁⠙⠗⠕⠍⠐⠑⠎⠀⠎⠞⠜⠀⠋⠐⠽⠎⠜⠀⠀⠞⠜⠎⠀⠀⠀⠀
⠏⠗⠐⠁⠭⠜⠎⠀⠃⠊⠕⠃⠉⠁⠗⠑⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠞⠁⠀⠏⠁⠗⠁⠅⠐⠁⠞⠚⠀⠎⠞⠪⠓⠑⠐⠊⠁⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠅⠪⠝⠚⠝⠐⠊⠁⠎⠀⠙⠊⠁⠞⠐⠊⠹⠑⠝⠞⠣⠀⠛⠊⠁⠀
⠞⠜⠝⠀⠏⠑⠗⠐⠊⠏⠞⠚⠎⠜⠀⠏⠥⠀⠅⠐⠁⠏⠪⠕⠎⠀⠀⠀⠀
⠓⠗⠩⠐⠁⠵⠑⠞⠣⠀⠏⠑⠗⠊⠎⠎⠐⠕⠞⠑⠗⠑⠎⠀⠀⠀⠀⠀⠀
⠏⠇⠜⠗⠕⠋⠕⠗⠐⠊⠑⠎⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠽⠏⠑⠐⠽⠹⠽⠝⠕⠎⠀⠑⠏⠊⠅⠪⠝⠚⠝⠐⠊⠁⠎⠒⠀⠀⠀
⠁⠇⠐⠑⠭⠁⠝⠙⠗⠕⠎⠀⠍⠥⠗⠕⠐⠽⠵⠜⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠑⠹⠝⠊⠅⠐⠜⠀⠎⠽⠝⠕⠍⠕⠎⠏⠕⠝⠙⠐⠊⠁⠀⠀⠀⠀⠀
⠁⠞⠐⠕⠍⠚⠝⠀⠍⠑⠀⠁⠝⠁⠏⠜⠗⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠑⠲⠎⠲⠁⠲⠍⠑⠁⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠞⠜⠇⠲⠒⠀⠼⠋⠊⠛⠛⠀⠼⠋⠁⠓⠁⠓⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠑⠀⠍⠁⠊⠇⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠍⠕⠥⠗⠕⠥⠵⠊⠀⠓⠕⠞⠍⠁⠊⠇⠲⠉⠕⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠅⠑⠋⠐⠁⠇⠣⠕⠀⠼⠁⠒⠀⠎⠽⠍⠏⠑⠗⠐⠁⠎⠍⠁⠞⠁⠀
⠞⠚⠝⠀⠡⠞⠕⠯⠊⠐⠚⠝⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠽⠏⠕⠅⠑⠋⠐⠁⠇⠣⠕⠀⠼⠁⠲⠁⠒⠀⠝⠐⠑⠁⠀⠀⠀⠀⠀
⠪⠅⠕⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠎⠞⠜⠝⠀⠅⠑⠗⠁⠍⠚⠞⠐⠜⠂⠀
⠎⠞⠕⠀⠙⠐⠁⠎⠕⠎⠀⠅⠕⠞⠵⠐⠁⠀⠕⠗⠍⠐⠁⠝⠲⠀⠀⠀⠀
⠀⠀⠓⠀⠝⠐⠑⠁⠀⠪⠅⠕⠞⠥⠗⠊⠎⠞⠊⠅⠐⠜⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠎⠞⠜⠝⠀⠅⠑⠗⠁⠍⠚⠞⠐⠜⠀⠛⠊⠁⠀
⠞⠜⠝⠀⠏⠁⠗⠁⠞⠐⠜⠗⠜⠎⠜⠀⠞⠜⠎⠀⠓⠇⠚⠗⠐⠊⠙⠁⠎
⠅⠣⠀⠞⠜⠎⠀⠏⠁⠝⠐⠊⠙⠁⠎⠀⠎⠞⠕⠀⠑⠹⠝⠊⠅⠐⠕⠀⠀
⠏⠐⠁⠗⠅⠕⠀⠞⠜⠎⠀⠁⠝⠁⠞⠕⠇⠊⠅⠐⠜⠎⠀⠀⠀⠀⠀⠀⠀
⠍⠁⠅⠑⠙⠕⠝⠐⠊⠁⠎⠀⠹⠗⠐⠁⠅⠜⠎⠀⠐⠑⠓⠩⠀⠀⠀⠀⠀
⠎⠓⠑⠙⠊⠁⠎⠞⠑⠐⠊⠀⠛⠊⠁⠀⠝⠁⠀⠏⠗⠕⠎⠑⠇⠅⠐⠽⠩
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠚
⠙⠊⠐⠁⠋⠕⠗⠑⠎⠀⠅⠁⠞⠜⠛⠕⠗⠐⠊⠑⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠂⠀⠁⠏⠐⠕⠀⠇⠐⠁⠞⠗⠩⠎⠀⠞⠜⠎
⠋⠐⠽⠎⠜⠎⠀⠅⠣⠀⠍⠁⠹⠜⠞⠊⠅⠕⠐⠽⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠅⠙⠗⠕⠍⠑⠐⠊⠎⠂⠀⠍⠐⠑⠓⠗⠊⠀⠅⠣⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠕⠐⠊⠅⠥⠎⠀⠞⠜⠎⠀⠛⠐⠽⠗⠚⠀⠏⠑⠗⠊⠕⠓⠐⠜⠎
⠏⠥⠀⠁⠝⠁⠵⠜⠞⠕⠐⠽⠝⠀⠇⠐⠊⠛⠜⠀⠐⠁⠎⠅⠜⠎⠜⠀⠀
⠅⠣⠀⠑⠏⠁⠋⠐⠜⠀⠍⠑⠀⠞⠜⠀⠋⠐⠽⠎⠜⠲⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠏⠗⠐⠕⠅⠩⠞⠣⠀⠛⠊⠁⠀⠍⠊⠁⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀
⠀⠅⠽⠅⠇⠊⠅⠐⠜⠀⠀⠍⠑⠀⠎⠽⠝⠕⠇⠊⠅⠐⠕⠀⠀⠀⠀⠀⠀
⠍⠐⠜⠅⠕⠎⠀⠏⠑⠗⠐⠊⠏⠥⠀⠼⠋⠑⠚⠀⠍⠐⠑⠞⠗⠁⠂⠀⠜
⠕⠏⠕⠐⠊⠁⠀⠭⠑⠅⠊⠝⠐⠁⠀⠅⠣⠀⠞⠑⠇⠩⠐⠚⠝⠩⠀⠀⠀
⠎⠞⠕⠀⠐⠊⠙⠊⠕⠀⠎⠜⠍⠑⠐⠊⠕⠂⠀⠎⠞⠕⠀⠀⠀⠀⠀⠀⠀
⠅⠐⠑⠝⠞⠗⠕⠀⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠎⠀⠙⠐⠑⠇⠞⠁⠀
⠝⠐⠑⠎⠞⠥⠀⠏⠥⠀⠇⠩⠞⠥⠗⠛⠑⠐⠊⠀⠎⠞⠜⠝⠀⠀⠀⠀⠀
⠏⠑⠗⠊⠕⠓⠐⠜⠀⠞⠜⠎⠀⠅⠑⠗⠁⠍⠚⠞⠐⠜⠎⠀⠁⠏⠐⠕⠀
⠞⠕⠝⠀⠋⠕⠗⠐⠑⠁⠀⠙⠊⠁⠓⠑⠐⠊⠗⠊⠎⠜⠎⠀⠀⠀⠀⠀⠀
⠙⠐⠑⠇⠞⠁⠀⠝⠐⠑⠎⠞⠥⠀⠤⠀⠃⠊⠎⠞⠚⠝⠐⠊⠙⠁⠎⠀⠤
⠊⠎⠍⠁⠗⠐⠊⠙⠁⠎⠀⠅⠣⠀⠹⠐⠁⠎⠥⠀⠅⠣⠀⠀⠀⠀⠀⠀⠀
⠑⠅⠞⠑⠐⠊⠝⠑⠞⠣⠀⠃⠕⠗⠩⠕⠁⠝⠁⠞⠕⠇⠊⠅⠐⠁⠀⠀⠀
⠍⠐⠑⠎⠚⠀⠞⠥⠀⠏⠁⠗⠁⠅⠑⠐⠊⠍⠑⠝⠥⠀⠙⠐⠁⠎⠥⠎⠀
⠅⠕⠞⠵⠐⠁⠀⠕⠗⠍⠐⠁⠝⠀⠀⠍⠐⠑⠛⠁⠀⠙⠐⠁⠎⠕⠎⠀⠲
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠏⠇⠐⠑⠕⠝⠂⠀⠍⠑⠞⠐⠁⠀⠞⠊⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠁⠗⠑⠍⠃⠐⠁⠎⠩⠎⠀⠅⠣⠀⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠭⠕⠍⠐⠁⠇⠽⠝⠎⠜⠀⠞⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠂⠀⠀
⠞⠕⠀⠍⠕⠝⠕⠏⠐⠁⠞⠊⠀⠑⠐⠊⠝⠣⠀⠞⠑⠇⠑⠐⠊⠚⠎⠀⠀
⠐⠜⠏⠊⠕⠂⠀⠐⠑⠓⠩⠀⠐⠊⠎⠊⠁⠂⠀⠎⠅⠇⠜⠗⠐⠜⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠁
⠑⠏⠊⠋⠐⠁⠝⠩⠁⠂⠀⠓⠚⠗⠐⠊⠎⠀⠁⠝⠚⠍⠁⠇⠐⠊⠑⠎⠀
⠅⠣⠀⠍⠑⠀⠎⠓⠑⠙⠐⠕⠝⠀⠍⠜⠙⠑⠝⠊⠅⠐⠑⠎⠀⠀⠀⠀⠀
⠑⠛⠅⠐⠁⠗⠎⠊⠑⠎⠀⠅⠇⠐⠊⠎⠩⠎⠀⠅⠁⠹⠐⠚⠎⠀⠅⠣⠀
⠑⠇⠐⠁⠓⠊⠎⠞⠑⠎⠀⠅⠇⠐⠊⠎⠩⠎⠀⠞⠕⠏⠊⠅⠐⠁⠀⠀⠀
⠅⠁⠞⠐⠁⠀⠍⠐⠜⠅⠕⠎⠀⠞⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠀⠀
⠐⠕⠏⠥⠀⠞⠕⠀⠽⠯⠐⠕⠍⠑⠞⠗⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠍⠑⠞⠁⠃⠐⠁⠇⠇⠑⠞⠣⠀⠍⠑⠞⠁⠭⠐⠽⠀⠼⠁⠀⠅⠣⠀⠼⠙
⠍⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠎⠑⠀⠎⠽⠝⠑⠗⠛⠁⠎⠐⠊⠁⠀⠍⠑⠀⠞⠕⠝⠀⠙⠐⠜⠍⠕
⠝⠐⠑⠎⠞⠥⠀⠅⠣⠀⠞⠕⠝⠀⠋⠕⠗⠐⠑⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠁⠓⠑⠐⠊⠗⠊⠎⠜⠎⠀⠙⠐⠑⠇⠞⠁⠀⠝⠐⠑⠎⠞⠥⠀⠤⠀
⠃⠊⠎⠞⠚⠝⠐⠊⠙⠁⠎⠀⠤⠀⠊⠎⠍⠁⠗⠐⠊⠙⠁⠎⠀⠅⠣⠀⠀
⠹⠐⠁⠎⠥⠂⠀⠜⠀⠑⠞⠣⠗⠐⠊⠁⠀⠙⠕⠍⠐⠜⠀⠀⠀⠀⠀⠀⠀
⠁⠝⠐⠁⠏⠞⠽⠭⠜⠎⠂⠀⠑⠅⠀⠍⠐⠑⠗⠥⠎⠀⠞⠜⠎⠀⠀⠀⠀
⠑⠲⠎⠲⠁⠲⠍⠑⠁⠲⠀⠏⠗⠕⠛⠗⠁⠍⠍⠐⠁⠞⠊⠎⠑⠀⠅⠣⠀
⠕⠇⠕⠅⠇⠐⠜⠗⠚⠎⠑⠀⠙⠐⠽⠕⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠞⠐⠕⠏⠊⠑⠎⠀⠡⠞⠕⠯⠐⠊⠑⠎⠀⠛⠊⠁⠀⠞⠕⠝⠀⠀
⠐⠑⠇⠑⠛⠓⠕⠀⠞⠜⠎⠀⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠎⠀
⠅⠣⠀⠛⠑⠝⠊⠅⠐⠕⠞⠑⠗⠁⠀⠞⠜⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠋⠊⠇⠊⠅⠐⠕⠞⠜⠞⠁⠎⠀⠞⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠀⠀
⠏⠗⠕⠎⠀⠞⠊⠎⠀⠙⠊⠐⠁⠋⠕⠗⠑⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠜⠛⠕⠗⠐⠊⠑⠎⠀⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠍⠑⠀⠀⠀
⠍⠩⠚⠍⠐⠑⠝⠜⠀⠅⠊⠝⠜⠞⠊⠅⠐⠕⠞⠜⠞⠁⠲⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠜⠀⠏⠗⠐⠚⠞⠜⠀⠡⠞⠕⠯⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠑⠭⠐⠁⠓⠹⠜⠅⠑⠀⠎⠞⠊⠎⠀⠼⠃⠙⠲⠚⠊⠲⠃⠚⠃⠚⠂
⠐⠕⠞⠁⠝⠀⠞⠁⠀⠞⠑⠓⠝⠊⠅⠐⠁⠀⠐⠑⠗⠛⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠃
⠙⠊⠁⠍⠐⠕⠗⠋⠚⠎⠜⠎⠀⠞⠥⠀⠍⠕⠝⠕⠏⠁⠞⠊⠕⠐⠽⠀⠀
⠐⠜⠞⠁⠝⠀⠎⠑⠀⠑⠭⠐⠑⠇⠊⠭⠜⠂⠀⠅⠣⠀⠑⠐⠊⠓⠑⠀⠀
⠙⠊⠁⠍⠕⠗⠋⠚⠞⠊⠅⠐⠕⠀⠓⠁⠗⠁⠅⠞⠐⠜⠗⠁⠀⠀⠀⠀⠀
⠀⠁⠛⠛⠇⠲⠀⠋⠕⠗⠍⠁⠞⠊⠧⠑⠀⠲⠀⠙⠜⠇⠁⠙⠐⠜⠂⠀⠪
⠐⠑⠇⠑⠛⠓⠪⠀⠑⠐⠊⠓⠁⠝⠀⠚⠎⠀⠃⠁⠎⠊⠅⠐⠕⠀⠀⠀⠀
⠎⠞⠐⠕⠓⠕⠀⠞⠕⠝⠀⠑⠝⠞⠕⠏⠊⠎⠍⠐⠕⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠜⠍⠁⠝⠞⠊⠅⠐⠚⠝⠀⠀⠅⠑⠝⠐⠚⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠎⠀⠀⠅⠣⠀⠞⠜⠀⠀⠀⠀⠀⠀
⠙⠊⠁⠍⠐⠕⠗⠋⠚⠎⠜⠀⠏⠗⠕⠞⠐⠁⠎⠑⠚⠝⠀⠛⠊⠁⠀⠀⠀
⠞⠜⠝⠀⠁⠝⠞⠊⠍⠑⠞⠐⠚⠏⠊⠎⠐⠜⠀⠞⠥⠎⠀⠎⠞⠕⠀⠀⠀
⠏⠇⠁⠐⠊⠎⠊⠕⠀⠞⠜⠎⠀⠕⠇⠕⠅⠇⠐⠜⠗⠚⠎⠜⠎⠀⠞⠚⠝
⠞⠗⠑⠓⠐⠕⠝⠞⠚⠝⠀⠑⠗⠛⠁⠎⠊⠐⠚⠝⠲⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠑⠙⠕⠍⠐⠑⠝⠥⠀⠐⠕⠞⠊⠀⠞⠁⠀⠞⠑⠓⠝⠊⠅⠐⠁⠀⠀⠀
⠐⠑⠗⠛⠁⠀⠐⠜⠞⠁⠝⠀⠁⠅⠐⠕⠍⠁⠀⠎⠑⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠭⠐⠑⠇⠊⠭⠜⠂⠀⠏⠕⠇⠇⠐⠑⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠁⠗⠁⠞⠜⠗⠐⠜⠎⠩⠎⠀⠑⠏⠊⠎⠜⠍⠐⠁⠝⠎⠩⠎⠀⠀⠀⠀
⠍⠏⠐⠕⠗⠑⠎⠁⠝⠀⠝⠁⠀⠇⠜⠋⠹⠕⠐⠽⠝⠀⠽⠏⠐⠕⠯⠜⠀
⠁⠏⠐⠕⠀⠞⠜⠝⠀⠞⠑⠓⠝⠊⠅⠐⠜⠀⠕⠍⠐⠁⠙⠁⠀⠅⠣⠀⠀
⠑⠝⠀⠞⠐⠑⠇⠩⠀⠝⠁⠀⠎⠽⠍⠏⠑⠗⠊⠇⠜⠋⠹⠕⠐⠽⠝⠀⠀
⠎⠞⠕⠀⠐⠑⠗⠛⠕⠀⠏⠥⠀⠏⠁⠗⠁⠙⠐⠕⠹⠜⠅⠑⠲⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠏⠗⠊⠝⠀⠞⠜⠝⠀⠡⠞⠕⠯⠐⠊⠁⠀⠅⠣⠀⠞⠊⠎⠀⠀⠀⠀
⠑⠏⠊⠞⠐⠕⠏⠊⠑⠎⠀⠍⠑⠞⠗⠐⠜⠎⠩⠎⠀⠅⠣⠀⠞⠥⠎⠀⠀
⠑⠇⠐⠑⠛⠓⠥⠎⠀⠎⠞⠕⠀⠏⠑⠙⠐⠊⠕⠂⠀⠐⠑⠇⠁⠃⠑⠀⠀
⠓⠐⠚⠗⠁⠀⠍⠊⠁⠀⠎⠞⠕⠓⠱⠍⠐⠑⠝⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠽⠝⠐⠁⠝⠞⠜⠎⠜⠀⠞⠜⠝⠀⠕⠏⠕⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠽⠝⠞⠐⠕⠝⠊⠎⠁⠝⠀⠞⠁⠀⠍⠐⠑⠇⠜⠀⠞⠜⠎⠀⠀⠀⠀⠀
⠕⠍⠐⠁⠙⠁⠎⠀⠐⠑⠗⠛⠥⠀⠞⠚⠝⠀⠙⠕⠍⠐⠜⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠉
⠁⠝⠐⠁⠏⠞⠽⠭⠜⠎⠀⠤⠀⠑⠥⠗⠕⠏⠗⠁⠭⠊⠎⠀⠅⠣⠀⠀⠀
⠎⠞⠜⠝⠀⠕⠏⠕⠐⠊⠁⠀⠎⠽⠍⠍⠑⠞⠑⠐⠊⠓⠁⠝⠒⠀⠀⠀⠀
⠀⠀⠀⠀⠑⠅⠏⠗⠐⠕⠎⠚⠏⠕⠎⠀⠞⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠽⠝⠞⠕⠝⠊⠎⠞⠐⠜⠀⠑⠞⠁⠐⠊⠗⠥⠀⠞⠜⠎⠀⠀⠀⠀⠀⠀
⠏⠗⠐⠁⠭⠜⠎⠂⠀⠙⠜⠇⠲⠀⠁⠏⠐⠕⠀⠞⠕⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠜⠍⠕⠅⠗⠐⠊⠞⠩⠕⠀⠏⠁⠝⠑⠏⠊⠎⠞⠐⠜⠍⠊⠕⠀⠀⠀⠀
⠹⠗⠐⠁⠅⠜⠎⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠑⠅⠏⠗⠐⠕⠎⠚⠏⠪⠀⠞⠥⠀⠙⠐⠜⠍⠥⠀⠀⠀⠀⠀⠀
⠝⠐⠑⠎⠞⠥⠂⠀⠙⠜⠇⠲⠀⠞⠥⠀⠋⠕⠗⠐⠑⠁⠀⠀⠀⠀⠀⠀⠀
⠽⠇⠕⠏⠕⠐⠊⠜⠎⠜⠎⠀⠞⠥⠀⠐⠑⠗⠛⠥⠲⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠑⠅⠏⠗⠐⠕⠎⠚⠏⠪⠀⠞⠥⠀⠁⠝⠐⠁⠙⠕⠓⠥⠀⠞⠥
⠙⠐⠜⠍⠥⠀⠝⠐⠑⠎⠞⠥⠀⠏⠥⠀⠁⠝⠐⠑⠇⠁⠃⠑⠀⠞⠜⠝⠀
⠅⠁⠞⠁⠎⠅⠱⠐⠜⠀⠞⠥⠀⠍⠕⠝⠕⠏⠁⠞⠊⠕⠐⠽⠂⠀⠀⠀⠀
⠙⠜⠇⠲⠀⠍⠐⠑⠇⠜⠀⠞⠜⠎⠀⠞⠑⠓⠝⠊⠅⠐⠜⠎⠀⠀⠀⠀⠀
⠕⠍⠐⠁⠙⠁⠎⠀⠽⠇⠕⠏⠕⠐⠊⠜⠎⠜⠎⠀⠞⠥⠀⠐⠑⠗⠛⠥⠲
⠀⠀⠀⠀⠑⠅⠏⠗⠐⠕⠎⠚⠏⠪⠀⠞⠥⠀⠋⠕⠗⠐⠑⠁⠀⠀⠀⠀⠀
⠙⠊⠁⠓⠑⠐⠊⠗⠊⠎⠜⠎⠀⠙⠐⠑⠇⠞⠁⠀⠝⠐⠑⠎⠞⠥⠀⠤⠀
⠃⠊⠎⠞⠚⠝⠐⠊⠙⠁⠎⠀⠤⠀⠊⠎⠍⠁⠗⠐⠊⠙⠁⠎⠀⠅⠣⠀⠀
⠹⠐⠁⠎⠥⠂⠀⠙⠜⠇⠲⠀⠞⠥⠀⠋⠕⠗⠐⠑⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠇⠩⠞⠥⠗⠛⠐⠊⠁⠎⠀⠞⠥⠀⠐⠑⠗⠛⠥⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠑⠅⠏⠗⠐⠕⠎⠚⠏⠪⠀⠞⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠝⠕⠍⠁⠗⠓⠊⠁⠅⠕⠐⠽⠀⠎⠽⠇⠇⠐⠕⠛⠥⠀⠁⠍⠑⠁⠀⠀⠀
⠝⠕⠍⠕⠐⠽⠀⠅⠁⠃⠐⠁⠇⠁⠎⠂⠀⠚⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠝⠞⠊⠏⠗⠕⠎⠚⠏⠱⠞⠊⠅⠕⠐⠊⠀⠓⠗⠐⠜⠎⠞⠑⠎⠀⠞⠥
⠐⠑⠗⠛⠥⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠎⠞⠕⠀⠏⠇⠁⠐⠊⠎⠊⠕⠀⠞⠜⠎⠀⠑⠝⠀⠇⠐⠕⠛⠚⠀⠀
⠎⠽⠝⠐⠁⠝⠞⠜⠎⠜⠎⠀⠙⠐⠕⠹⠜⠅⠑⠀⠜⠀⠱⠅⠣⠗⠐⠊⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠙
⠎⠞⠜⠝⠀⠕⠍⠐⠁⠙⠁⠀⠞⠚⠝⠀⠑⠇⠑⠛⠅⠞⠐⠚⠝⠀⠝⠁⠀
⠹⠐⠑⠎⠥⠝⠀⠑⠗⠚⠞⠐⠜⠍⠁⠞⠁⠀⠎⠑⠀⠍⠕⠗⠋⠐⠜⠀⠀
⠎⠽⠝⠐⠑⠝⠞⠱⠭⠜⠎⠀⠀⠁⠛⠛⠇⠲⠀⠊⠝⠞⠑⠗⠧⠊⠑⠺⠀
⠅⠣⠀⠝⠁⠀⠇⠐⠁⠃⠥⠝⠀⠁⠏⠁⠝⠞⠐⠜⠎⠩⠎⠀⠁⠏⠐⠕⠀
⠐⠕⠇⠥⠎⠀⠞⠥⠎⠀⠑⠍⠏⠇⠑⠅⠐⠕⠍⠑⠝⠥⠎⠀⠎⠞⠕⠀⠀
⠐⠑⠗⠛⠕⠂⠀⠪⠀⠕⠏⠕⠐⠊⠑⠎⠀⠎⠓⠑⠞⠐⠊⠵⠕⠝⠞⠣⠀
⠍⠑⠀⠞⠜⠀⠎⠽⠍⠏⠇⠐⠜⠗⠚⠎⠜⠀⠞⠚⠝⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠅⠁⠞⠁⠗⠞⠊⠅⠐⠚⠝⠀⠋⠐⠽⠇⠇⠚⠝⠀⠀⠀⠀⠀⠀⠀
⠑⠇⠐⠑⠛⠓⠥⠀⠀⠃⠇⠲⠀⠎⠐⠽⠎⠞⠜⠍⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠭⠊⠕⠇⠐⠕⠛⠜⠎⠜⠎⠀⠀⠀⠋⠐⠕⠗⠍⠑⠎⠀⠀⠁⠀⠀⠲⠀
⠜⠀⠎⠽⠝⠐⠁⠝⠞⠜⠎⠜⠀⠋⠊⠇⠕⠭⠑⠝⠐⠜⠹⠜⠅⠑⠀⠎⠑
⠓⠐⠚⠗⠕⠀⠎⠽⠝⠁⠝⠞⠐⠜⠎⠑⠚⠝⠀⠎⠞⠕⠀⠀⠀⠀⠀⠀⠀
⠅⠐⠑⠝⠞⠗⠕⠀⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠎⠀⠙⠐⠑⠇⠞⠁⠀
⠝⠐⠑⠎⠞⠥⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠜⠀⠙⠑⠐⠽⠞⠑⠗⠜⠀⠡⠞⠕⠯⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠑⠭⠐⠁⠓⠹⠜⠅⠑⠀⠐⠑⠝⠁⠀⠍⠐⠜⠝⠁⠀⠍⠑⠞⠐⠁⠂
⠎⠞⠊⠎⠀⠼⠃⠛⠲⠁⠚⠲⠃⠚⠃⠚⠂⠀⠑⠏⠐⠊⠀⠞⠥⠀⠀⠀⠀
⠏⠁⠗⠁⠙⠊⠙⠐⠕⠍⠑⠝⠥⠀⠐⠑⠗⠛⠥⠀⠅⠣⠀⠑⠐⠊⠓⠑⠀
⠁⠏⠕⠇⠕⠛⠊⠎⠞⠊⠅⠐⠕⠀⠓⠁⠗⠁⠅⠞⠐⠜⠗⠁⠀⠀⠀⠀⠀
⠀⠁⠛⠛⠇⠲⠀⠎⠥⠍⠍⠁⠞⠊⠧⠑⠀⠲⠀⠙⠜⠇⠁⠙⠐⠜⠂⠀⠪
⠀⠑⠏⠁⠝⠀⠀⠐⠑⠇⠑⠛⠓⠪⠀⠑⠐⠊⠓⠁⠝⠀⠚⠎⠀⠀⠀⠀⠀
⠃⠁⠎⠊⠅⠐⠕⠀⠎⠞⠐⠕⠓⠕⠀⠞⠜⠝⠀⠁⠏⠕⠞⠐⠽⠏⠚⠎⠜
⠞⠚⠝⠀⠞⠑⠇⠊⠅⠐⠚⠝⠀⠎⠽⠝⠹⠜⠅⠐⠚⠝⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠐⠕⠎⠃⠁⠎⠜⠎⠀⠅⠣⠀⠞⠜⠀⠎⠽⠇⠇⠕⠛⠐⠜⠀⠀⠀⠀
⠁⠝⠁⠇⠽⠞⠊⠅⠐⠚⠝⠀⠍⠑⠞⠗⠐⠜⠎⠑⠚⠝⠀⠅⠣⠀⠀⠀⠀
⠙⠑⠙⠕⠍⠐⠑⠝⠚⠝⠀⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠎⠀⠀
⠛⠊⠁⠀⠞⠜⠝⠀⠐⠁⠗⠞⠊⠁⠀⠅⠣⠀⠐⠑⠛⠅⠽⠗⠜⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠑
⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠀⠞⠚⠝⠀⠑⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠽⠝⠐⠁⠍⠩⠀⠑⠝⠙⠊⠁⠋⠑⠗⠐⠕⠍⠑⠝⠚⠝⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠞⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠲⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠅⠣⠀⠛⠊⠁⠀⠞⠊⠎⠀⠙⠐⠽⠕⠀⠡⠞⠕⠯⠐⠊⠑⠎⠂⠀⠜
⠕⠍⠐⠁⠙⠁⠀⠑⠇⠑⠛⠅⠞⠐⠚⠝⠀⠑⠏⠊⠹⠑⠚⠗⠜⠞⠐⠚⠝
⠑⠋⠐⠁⠗⠍⠕⠎⠑⠀⠞⠜⠀⠍⠑⠹⠕⠙⠕⠇⠕⠛⠐⠊⠁⠀⠅⠣⠀
⠞⠊⠎⠀⠞⠑⠓⠝⠊⠅⠐⠑⠎⠀⠑⠏⠊⠹⠑⠐⠚⠗⠜⠎⠜⠎⠀⠅⠣
⠍⠑⠞⠗⠐⠜⠎⠑⠚⠝⠀⠏⠥⠀⠏⠗⠕⠙⠊⠁⠛⠗⠐⠁⠋⠕⠝⠞⠣
⠎⠞⠕⠀⠏⠗⠐⠕⠞⠽⠏⠕⠀⠀⠎⠐⠽⠎⠞⠜⠍⠁⠀⠀⠀⠀⠀⠀⠀
⠁⠭⠊⠕⠇⠐⠕⠛⠜⠎⠜⠎⠀⠞⠜⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠚⠝⠀⠀
⠎⠞⠜⠀⠋⠐⠽⠎⠜⠀⠀⠏⠥⠀⠁⠝⠁⠏⠞⠐⠽⠓⠹⠜⠅⠑⠀⠀⠀
⠎⠞⠁⠀⠏⠇⠁⠐⠊⠎⠊⠁⠀⠞⠜⠎⠀⠏⠗⠐⠁⠭⠜⠎⠀⠀⠀⠀⠀
⠃⠊⠕⠃⠉⠁⠗⠑⠀⠅⠣⠀⠎⠽⠍⠏⠑⠗⠊⠇⠁⠍⠃⠐⠁⠝⠑⠞⠣
⠎⠞⠕⠀⠍⠐⠑⠗⠕⠎⠀⠃⠀⠀⠞⠥⠀⠪⠅⠑⠐⠊⠥⠀⠀⠀⠀⠀⠀
⠕⠙⠜⠛⠕⠐⠽⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠎⠞⠜⠀⠙⠊⠁⠙⠊⠅⠁⠎⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠽⠍⠍⠑⠞⠑⠐⠊⠓⠁⠝⠂⠀⠚⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠝⠞⠊⠏⠗⠕⠎⠚⠏⠱⠞⠊⠅⠕⠐⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠓⠗⠐⠜⠎⠞⠑⠎⠀⠑⠏⠊⠎⠅⠐⠑⠏⠞⠑⠎⠂⠀⠐⠑⠝⠁⠀⠀⠀
⠐⠁⠞⠕⠍⠕⠀⠞⠽⠋⠇⠐⠕⠀⠓⠗⠐⠜⠎⠞⠜⠎⠀⠇⠱⠅⠕⠐⠽
⠍⠏⠁⠎⠞⠥⠝⠊⠕⠐⠽⠀⠀⠕⠀⠏⠗⠐⠕⠑⠙⠗⠕⠎⠀⠞⠥⠀⠀
⠝⠕⠍⠁⠗⠓⠊⠁⠅⠕⠐⠽⠀⠎⠚⠍⠁⠞⠑⠐⠊⠥⠀⠁⠍⠑⠁⠀⠀
⠅⠁⠃⠐⠁⠇⠁⠎⠀⠀⠅⠁⠹⠐⠚⠎⠀⠅⠣⠀⠐⠑⠝⠁⠀⠀⠀⠀⠀
⠐⠁⠞⠕⠍⠕⠀⠍⠑⠀⠁⠝⠁⠏⠜⠗⠊⠅⠐⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠍⠁⠭⠐⠊⠙⠊⠕⠀⠀⠍⠐⠑⠇⠕⠎⠀⠞⠥⠀⠙⠲⠎⠲⠀⠞⠥⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠋
⠎⠚⠍⠁⠞⠑⠐⠊⠥⠀⠲⠀⠑⠏⠐⠊⠎⠜⠎⠂⠀⠍⠐⠑⠗⠕⠎⠀⠀
⠞⠜⠎⠀⠙⠊⠁⠙⠊⠅⠁⠎⠐⠊⠁⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠁⠗⠁⠅⠕⠇⠕⠐⠽⠹⠜⠎⠁⠝⠀⠎⠞⠑⠇⠐⠑⠓⠜⠀⠞⠥⠀⠀
⠙⠐⠜⠍⠥⠀⠅⠣⠀⠎⠞⠑⠇⠐⠑⠓⠜⠀⠞⠥⠀⠋⠕⠗⠐⠑⠁⠀⠀
⠇⠩⠞⠥⠗⠛⠐⠊⠁⠎⠂⠀⠛⠑⠛⠕⠝⠐⠕⠎⠀⠏⠥⠀⠀⠀⠀⠀⠀
⠐⠑⠙⠚⠎⠑⠀⠞⠜⠝⠀⠱⠅⠣⠗⠐⠊⠁⠀⠎⠞⠥⠎⠀⠀⠀⠀⠀⠀
⠑⠅⠏⠗⠕⠎⠐⠚⠏⠥⠎⠀⠡⠞⠐⠚⠝⠀⠝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠽⠵⠜⠞⠐⠜⠎⠥⠝⠀⠍⠑⠀⠞⠥⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠹⠑⠚⠗⠜⠞⠐⠑⠎⠀⠞⠁⠀⠱⠗⠐⠜⠍⠁⠞⠁⠂⠀⠞⠊⠎
⠁⠙⠽⠝⠁⠍⠐⠊⠑⠎⠀⠅⠣⠀⠞⠊⠎⠀⠏⠊⠹⠁⠝⠐⠑⠎⠀⠀⠀
⠞⠥⠎⠀⠑⠏⠊⠏⠞⠐⠚⠎⠩⠎⠀⠎⠑⠀⠙⠊⠐⠁⠋⠕⠗⠑⠎⠀⠀
⠅⠁⠞⠜⠛⠕⠗⠐⠊⠑⠎⠀⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠂⠀⠀⠀⠀⠀
⠛⠑⠛⠕⠝⠐⠕⠎⠀⠏⠥⠀⠁⠋⠐⠽⠏⠝⠊⠎⠑⠀⠞⠕⠀⠀⠀⠀⠀
⠑⠝⠙⠊⠁⠋⠐⠑⠗⠕⠝⠀⠞⠥⠎⠀⠝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠏⠕⠅⠁⠞⠁⠎⠞⠐⠜⠎⠥⠝⠀⠍⠊⠁⠀⠎⠩⠗⠐⠁⠀⠁⠏⠐⠕
⠵⠜⠞⠐⠜⠍⠁⠞⠁⠀⠏⠥⠀⠑⠝⠞⠕⠏⠐⠊⠎⠹⠜⠅⠁⠝⠀⠞⠕
⠎⠽⠝⠞⠕⠍⠐⠕⠞⠑⠗⠕⠀⠙⠽⠝⠁⠞⠐⠕⠀⠁⠇⠇⠐⠁⠀⠅⠣
⠏⠐⠑⠗⠁⠀⠁⠏⠐⠕⠀⠞⠕⠝⠀⠅⠐⠽⠅⠇⠕⠀⠵⠚⠐⠜⠎⠀⠀
⠞⠜⠎⠀⠏⠗⠐⠁⠭⠜⠎⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠍⠑⠀⠃⠐⠁⠎⠩⠀⠞⠁⠀⠱⠗⠐⠜⠍⠁⠞⠁⠀⠞⠜⠎⠀⠀⠀
⠁⠏⠕⠇⠕⠛⠊⠎⠞⠊⠅⠐⠜⠎⠀⠑⠏⠊⠹⠑⠐⠚⠗⠜⠎⠜⠎⠂⠀
⠅⠗⠐⠊⠝⠑⠞⠣⠀⠐⠕⠞⠊⠀⠜⠀⠝⠐⠑⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠏⠁⠗⠥⠎⠊⠐⠁⠵⠩⠀⠞⠁⠀⠑⠭⠐⠜⠎
⠹⠑⠞⠊⠅⠐⠁⠀⠎⠞⠪⠓⠑⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠎⠽⠝⠕⠏⠞⠊⠅⠐⠁⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠑⠐⠊⠝⠣⠀⠑⠐⠽⠅⠕⠇⠜⠀⠎⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠐⠕⠎⠃⠁⠎⠜⠂⠀⠙⠑⠙⠕⠍⠐⠑⠝⠥⠀⠭⠑⠅⠊⠝⠐⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠛
⠁⠏⠐⠕⠀⠞⠕⠀⠅⠐⠑⠝⠞⠗⠕⠀⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠎
⠙⠐⠑⠇⠞⠁⠀⠝⠐⠑⠎⠞⠥⠂⠀⠞⠕⠀⠕⠏⠕⠐⠊⠕⠀⠀⠀⠀⠀
⠑⠐⠊⠝⠣⠀⠛⠝⠚⠎⠞⠐⠕⠀⠎⠞⠥⠎⠀⠅⠁⠞⠕⠐⠊⠅⠥⠎⠀
⠞⠜⠎⠀⠏⠑⠗⠊⠕⠓⠐⠜⠎⠂⠀⠎⠽⠝⠙⠐⠑⠑⠞⠣⠀⠍⠑⠀⠀
⠞⠕⠏⠊⠅⠐⠁⠀⠍⠐⠑⠎⠁⠀⠍⠑⠞⠁⠋⠕⠗⠐⠁⠎⠂⠀⠀⠀⠀
⠙⠊⠁⠹⠐⠑⠞⠩⠀⠏⠗⠕⠁⠐⠽⠇⠊⠕⠀⠓⠐⠚⠗⠕⠀⠍⠑⠀⠀
⠹⠐⠑⠎⠩⠎⠀⠎⠞⠐⠁⠹⠍⠱⠎⠜⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠁⠍⠕⠗⠋⠚⠍⠐⠑⠝⠑⠎⠀⠛⠊⠁⠀⠁⠍⠑⠁⠂⠀⠀⠀⠀⠀
⠙⠊⠁⠹⠐⠑⠞⠩⠀⠗⠐⠁⠍⠏⠁⠀⠏⠗⠐⠕⠎⠃⠁⠎⠜⠎⠀⠀⠀
⠎⠞⠕⠀⠅⠞⠐⠊⠗⠊⠕⠀⠅⠣⠀⠎⠞⠑⠇⠑⠓⠐⠚⠝⠑⠞⠣⠀⠀
⠁⠏⠐⠕⠀⠏⠗⠕⠎⠚⠏⠊⠅⠐⠕⠀⠞⠕⠀⠕⠏⠕⠐⠊⠕⠀⠀⠀⠀
⠑⠐⠊⠝⠣⠀⠐⠑⠞⠪⠍⠕⠀⠝⠁⠀⠽⠏⠕⠙⠑⠓⠹⠑⠐⠊⠀⠞⠕
⠅⠪⠝⠐⠕⠀⠅⠣⠀⠝⠁⠀⠏⠁⠗⠐⠁⠎⠓⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠇⠜⠗⠕⠋⠕⠗⠐⠊⠑⠎⠀⠅⠣⠀⠑⠝⠜⠍⠐⠑⠗⠚⠎⠜⠀⠀⠀
⠛⠊⠁⠀⠞⠜⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠂⠀⠅⠁⠹⠐⠚⠎⠀⠅⠣⠀⠀
⠭⠑⠝⠐⠁⠛⠜⠎⠜⠀⠎⠞⠜⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠀⠀⠀⠀⠀
⠁⠝⠐⠁⠇⠕⠛⠁⠀⠍⠑⠀⠞⠜⠀⠙⠊⠁⠹⠑⠎⠊⠍⠐⠕⠞⠜⠞⠁
⠅⠣⠀⠞⠊⠎⠀⠎⠽⠝⠹⠐⠜⠅⠑⠎⠀⠞⠥⠀⠅⠣⠗⠕⠐⠽⠲⠀⠀
⠀⠀⠀⠀⠏⠁⠗⠥⠎⠊⠐⠁⠵⠩⠀⠊⠙⠊⠁⠐⠊⠞⠑⠗⠕⠀⠀⠀⠀
⠪⠅⠕⠇⠕⠛⠊⠅⠐⠕⠀⠑⠝⠙⠊⠁⠋⠐⠑⠗⠕⠝⠂⠀⠁⠋⠕⠐⠽
⠎⠞⠕⠀⠡⠞⠕⠎⠽⠝⠞⠜⠗⠕⠐⠽⠍⠑⠝⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠁⠗⠁⠏⠕⠞⠐⠁⠍⠊⠕⠀⠙⠐⠁⠎⠕⠎⠀⠅⠕⠞⠵⠐⠁⠀⠀⠀
⠕⠗⠍⠐⠁⠝⠀⠙⠊⠁⠞⠜⠗⠕⠐⠽⠝⠞⠣⠀⠍⠊⠅⠗⠕⠐⠊⠀⠀
⠽⠛⠗⠐⠕⠞⠕⠏⠪⠀⠛⠇⠽⠅⠕⠐⠽⠀⠝⠑⠗⠕⠐⠽⠀⠐⠕⠏⠥
⠍⠏⠕⠗⠑⠐⠊⠀⠑⠐⠽⠅⠕⠇⠁⠀⠅⠁⠝⠑⠐⠊⠎⠀⠝⠁⠀⠀⠀
⠹⠡⠍⠐⠁⠎⠩⠀⠏⠥⠇⠊⠐⠁⠀⠏⠥⠀⠑⠐⠊⠞⠑⠀⠵⠥⠝⠀⠀
⠑⠅⠑⠐⠊⠀⠑⠐⠊⠞⠑⠀⠞⠥⠎⠀⠑⠏⠊⠎⠅⠐⠑⠏⠞⠕⠝⠞⠣
⠏⠑⠗⠊⠕⠙⠊⠅⠐⠁⠀⠅⠣⠀⠛⠑⠝⠊⠅⠐⠁⠀⠑⠝⠞⠐⠕⠎⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠓
⠞⠥⠀⠋⠚⠇⠊⠐⠁⠵⠩⠀⠅⠣⠀⠞⠗⠐⠑⠋⠑⠞⠣⠀⠀⠀⠀⠀⠀
⠏⠇⠐⠜⠹⠕⠎⠀⠏⠥⠇⠊⠐⠚⠝⠂⠀⠹⠜⠇⠁⠎⠞⠊⠅⠐⠚⠝⠂
⠁⠍⠋⠐⠊⠃⠊⠚⠝⠀⠅⠣⠀⠑⠗⠏⠑⠞⠐⠚⠝⠲⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠑⠐⠊⠝⠣⠀⠅⠽⠅⠇⠊⠅⠐⠜⠂⠀⠛⠑⠛⠕⠝⠐⠕⠎⠀
⠏⠥⠀⠙⠊⠱⠅⠕⠇⠐⠽⠝⠩⠀⠞⠜⠝⠀⠁⠏⠕⠃⠐⠊⠃⠁⠎⠜⠀
⠀⠀⠑⠏⠊⠃⠐⠊⠃⠁⠎⠜⠀⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠍⠑⠀⠀
⠍⠩⠚⠍⠐⠑⠝⠜⠀⠅⠊⠝⠜⠞⠊⠅⠐⠕⠞⠜⠞⠁⠀⠁⠏⠐⠕⠀⠀
⠞⠕⠀⠐⠊⠙⠊⠕⠀⠎⠜⠍⠑⠐⠊⠕⠂⠀⠓⠚⠗⠐⠊⠎⠀⠝⠁⠀⠀
⠁⠏⠣⠞⠑⠐⠊⠞⠣⠀⠝⠁⠀⠍⠑⠞⠁⠅⠊⠝⠜⠹⠑⠐⠊⠀⠞⠕⠀
⠐⠕⠓⠜⠍⠁⠀⠍⠑⠞⠁⠋⠕⠗⠐⠁⠎⠀⠞⠥⠎⠀⠎⠑⠀⠀⠀⠀⠀
⠐⠁⠇⠇⠕⠀⠎⠜⠍⠑⠐⠊⠕⠀⠛⠊⠁⠀⠝⠁⠀⠞⠥⠎⠀⠀⠀⠀⠀
⠏⠁⠗⠁⠇⠐⠁⠃⠩⠀⠍⠑⠞⠐⠁⠀⠞⠜⠀⠇⠐⠜⠭⠜⠀⠞⠥⠀⠀
⠏⠑⠗⠐⠊⠏⠁⠞⠕⠐⠽⠀⠞⠥⠎⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠋⠐⠑⠗⠩⠀⠞⠕⠝⠀⠓⠁⠗⠁⠅⠞⠜⠗⠊⠎⠍⠐⠕⠀⠀
⠀⠱⠅⠕⠇⠜⠀⠑⠁⠎⠽⠀⠀⠅⠣⠀⠐⠑⠓⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠐⠁⠇⠇⠜⠇⠕⠀⠍⠐⠜⠅⠕⠎⠂⠀⠕⠐⠽⠞⠑⠀⠀⠀⠀⠀
⠏⠕⠇⠐⠽⠀⠎⠐⠽⠝⠞⠕⠍⠕⠀⠕⠐⠽⠞⠑⠀⠏⠕⠇⠐⠽⠀⠀⠀
⠍⠑⠛⠐⠁⠇⠕⠂⠀⠛⠑⠛⠕⠝⠐⠕⠎⠀⠏⠥⠀⠹⠁⠀⠀⠀⠀⠀⠀
⠁⠝⠁⠍⠐⠑⠝⠑⠞⠣⠀⠝⠁⠀⠑⠭⠽⠏⠜⠗⠑⠞⠑⠐⠊⠀⠀⠀⠀
⠙⠊⠐⠁⠋⠕⠗⠑⠎⠀⠅⠁⠞⠜⠛⠕⠗⠐⠊⠑⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠍⠑⠀⠍⠩⠚⠍⠐⠑⠝⠜⠀⠀⠀⠀⠀⠀
⠅⠊⠝⠜⠞⠊⠅⠐⠕⠞⠜⠞⠁⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠐⠑⠓⠩⠀⠑⠇⠐⠁⠓⠊⠎⠞⠑⠎⠀⠅⠇⠐⠊⠎⠩⠎⠂⠀
⠩⠙⠊⠅⠐⠁⠀⠙⠊⠁⠍⠕⠗⠋⠚⠍⠐⠑⠝⠜⠂⠀⠎⠅⠇⠜⠗⠐⠜
⠅⠣⠀⠎⠞⠐⠑⠗⠑⠁⠂⠀⠑⠏⠊⠋⠐⠁⠝⠩⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠐⠊⠝⠜⠎⠜⠎⠂⠀⠓⠚⠗⠐⠊⠎⠀⠎⠞⠑⠝⠐⠁⠀⠐⠜⠀⠀⠀
⠑⠏⠊⠅⠐⠊⠝⠙⠽⠝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠑⠗⠐⠁⠎⠍⠁⠞⠁⠀⠎⠜⠍⠑⠐⠊⠁⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠁⠊
⠀⠀⠀⠀⠙⠜⠍⠊⠥⠗⠛⠑⠐⠊⠀⠐⠑⠝⠁⠝⠀⠁⠎⠋⠁⠇⠐⠜⠀
⠀⠙⠊⠐⠁⠙⠗⠕⠍⠕⠀⠀⠅⠐⠊⠝⠜⠎⠜⠎⠀⠕⠀⠀⠀⠀⠀⠀⠀
⠕⠏⠕⠐⠊⠕⠎⠀⠑⠐⠊⠝⠣⠀⠑⠇⠑⠐⠽⠹⠑⠗⠕⠎⠀⠁⠏⠐⠕
⠑⠍⠏⠐⠕⠙⠊⠁⠀⠞⠐⠕⠎⠕⠀⠎⠑⠀⠏⠇⠐⠁⠞⠕⠎⠀⠀⠀⠀
⠀⠞⠥⠇⠐⠁⠓⠊⠎⠞⠕⠝⠀⠼⠁⠂⠑⠍⠲⠂⠀⠛⠑⠛⠕⠝⠐⠕⠎
⠏⠥⠀⠑⠏⠊⠞⠗⠐⠑⠏⠩⠀⠞⠜⠝⠀⠏⠑⠗⠊⠎⠞⠗⠕⠋⠐⠜⠀
⠓⠗⠜⠎⠞⠐⠚⠝⠀⠁⠝⠁⠏⠜⠗⠊⠅⠐⠚⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠍⠁⠭⠊⠙⠐⠊⠚⠝⠀⠀⠐⠕⠎⠕⠀⠅⠣⠀⠅⠁⠞⠐⠁⠀⠀⠀⠀
⠐⠽⠯⠕⠎⠀⠀⠞⠥⠇⠐⠁⠓⠊⠎⠞⠕⠝⠀⠼⠃⠂⠉⠍⠲⠀⠀⠀⠀
⠅⠁⠹⠁⠗⠐⠕⠀⠁⠏⠐⠕⠀⠙⠐⠑⠝⠞⠗⠁⠀⠅⠣⠀⠀⠀⠀⠀⠀
⠅⠇⠁⠙⠊⠐⠁⠀⠀⠅⠣⠀⠕⠀⠕⠏⠕⠐⠊⠕⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠎⠞⠁⠞⠑⠐⠽⠑⠞⠣⠀⠍⠑⠀⠭⠐⠽⠇⠊⠝⠕⠀⠀⠀⠀⠀
⠅⠊⠛⠅⠇⠐⠊⠙⠚⠍⠁⠀⠅⠣⠀⠁⠏⠐⠕⠀⠞⠊⠎⠀⠙⠐⠽⠕⠀
⠞⠥⠀⠏⠇⠱⠗⠐⠑⠎⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠽⠏⠐⠁⠗⠓⠩⠀⠞⠐⠕⠎⠕⠀⠎⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀
⠁⠋⠑⠞⠜⠗⠐⠊⠁⠀⠐⠕⠎⠕⠀⠅⠣⠀⠅⠁⠞⠐⠁⠀⠀⠀⠀⠀⠀
⠍⠐⠜⠅⠕⠎⠀⠞⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠐⠜⠍⠁⠝⠎⠜⠀⠏⠗⠕⠎⠁⠝⠁⠞⠕⠇⠊⠎⠍⠕⠐⠽⠀⠅⠣⠀
⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠎⠀⠛⠊⠁⠀⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠹⠕⠙⠐⠜⠛⠜⠎⠜⠀⠞⠚⠝⠀⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠀
⠅⠣⠀⠛⠊⠁⠀⠞⠜⠝⠀⠑⠝⠜⠍⠐⠑⠗⠚⠎⠐⠜⠀⠞⠥⠎⠀⠀⠀
⠎⠓⠑⠞⠊⠅⠐⠁⠀⠍⠑⠀⠞⠁⠀⠎⠜⠍⠑⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀
⠑⠝⠙⠊⠁⠋⠐⠑⠗⠕⠝⠞⠕⠎⠀⠅⠣⠀⠞⠊⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠱⠅⠕⠇⠐⠽⠝⠎⠩⠎⠀⠏⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠑⠗⠊⠇⠁⠍⠃⠐⠁⠝⠕⠝⠞⠣⠀⠎⠑⠀⠡⠞⠐⠑⠎⠲⠀⠀⠀⠀
⠀⠀⠀⠀⠞⠁⠀⠅⠊⠛⠅⠇⠊⠙⠐⠚⠍⠁⠞⠁⠀⠏⠥⠀⠀⠀⠀⠀⠀
⠽⠏⠐⠁⠗⠓⠥⠝⠀⠎⠑⠀⠐⠕⠇⠕⠀⠞⠕⠀⠍⠐⠜⠅⠕⠎⠀⠀⠀
⠞⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠂⠀⠅⠣⠀⠎⠞⠊⠎⠀⠙⠐⠽⠕⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠚
⠏⠇⠱⠗⠐⠑⠎⠀⠞⠥⠀⠍⠕⠝⠕⠏⠁⠞⠊⠕⠐⠽⠂⠀⠑⠐⠊⠝⠣
⠞⠕⠏⠕⠹⠑⠞⠜⠍⠐⠑⠝⠁⠀⠎⠑⠀⠙⠐⠽⠕⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠁⠋⠕⠗⠑⠞⠊⠅⠐⠁⠀⠐⠽⠯⠜⠀⠀⠛⠑⠀⠅⠣⠀⠼⠊⠚⠀
⠑⠅⠲⠀⠂⠀⠐⠚⠎⠞⠑⠀⠝⠁⠀⠇⠩⠞⠥⠗⠛⠕⠐⠽⠝⠀⠅⠣⠀
⠚⠎⠀⠀⠁⠀⠀⠓⠩⠗⠕⠇⠊⠎⠹⠐⠜⠗⠁⠎⠀⠕⠙⠜⠛⠐⠕⠎⠀
⠛⠊⠁⠀⠞⠽⠋⠇⠐⠁⠀⠐⠁⠞⠕⠍⠁⠂⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠃⠕⠜⠹⠜⠞⠊⠅⠐⠜⠀⠓⠩⠗⠕⠇⠁⠃⠐⠜⠀⠛⠊⠁⠀⠀⠀⠀⠀
⠐⠁⠞⠕⠍⠁⠀⠍⠑⠀⠏⠑⠗⠊⠕⠗⠊⠎⠍⠐⠑⠝⠜⠀⠀⠀⠀⠀⠀
⠐⠕⠗⠁⠎⠜⠀⠅⠣⠀⠐⠁⠞⠕⠍⠁⠀⠍⠑⠀⠍⠩⠚⠍⠐⠑⠝⠜⠀
⠅⠊⠝⠜⠞⠊⠅⠐⠕⠞⠜⠞⠁⠂⠀⠀⠛⠀⠀⠃⠕⠜⠹⠜⠞⠊⠅⠐⠜
⠓⠩⠗⠕⠇⠁⠃⠐⠜⠀⠛⠊⠁⠀⠐⠁⠞⠕⠍⠁⠀⠍⠑⠀⠀⠀⠀⠀⠀
⠁⠝⠁⠏⠜⠗⠊⠅⠐⠕⠀⠁⠍⠁⠭⠐⠊⠙⠊⠕⠲⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠜⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠏⠑⠗⠊⠇⠁⠍⠃⠐⠁⠝⠩⠀
⠁⠝⠐⠁⠀⠞⠁⠅⠞⠐⠁⠀⠙⠊⠁⠎⠞⠐⠜⠍⠁⠞⠁⠀⠀⠀⠀⠀⠀
⠎⠜⠍⠑⠐⠊⠁⠀⠁⠝⠐⠁⠏⠡⠇⠁⠎⠀⠀⠁⠝⠐⠁⠏⠡⠎⠜⠎⠀
⠀⠐⠑⠭⠊⠀⠎⠞⠕⠀⠎⠐⠽⠝⠕⠇⠕⠂⠀⠁⠝⠐⠁⠀⠼⠛⠚⠀⠀
⠊⠚⠀⠍⠲⠀⠂⠀⠍⠑⠀⠭⠐⠽⠇⠊⠝⠁⠀⠅⠁⠹⠐⠊⠎⠍⠁⠞⠁
⠅⠣⠀⠑⠏⠊⠏⠇⠐⠑⠕⠝⠀⠓⠐⠚⠗⠕⠀⠎⠞⠊⠎⠀⠀⠀⠀⠀⠀
⠏⠇⠱⠗⠐⠑⠎⠀⠛⠊⠁⠀⠎⠞⠐⠁⠎⠜⠀⠍⠑⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠝⠁⠏⠜⠗⠊⠅⠐⠕⠀⠁⠍⠁⠭⠐⠊⠙⠊⠕⠲⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠜⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠏⠑⠗⠊⠇⠁⠍⠃⠐⠁⠝⠩⠀
⠑⠭⠕⠏⠇⠊⠎⠍⠕⠐⠽⠎⠀⠀⠏⠲⠓⠲⠂⠀⠅⠐⠁⠙⠪⠀⠀⠀⠀
⠁⠏⠕⠗⠗⠊⠍⠍⠐⠁⠞⠚⠝⠂⠀⠺⠉⠀⠀⠎⠑⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠐⠁⠇⠇⠜⠇⠑⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠁⠎⠞⠐⠁⠎⠩⠎⠀⠏⠗⠕⠙⠊⠁⠛⠗⠁⠋⠐⠑⠎⠀⠛⠊⠁⠀
⠐⠁⠞⠕⠍⠁⠀⠍⠑⠀⠁⠝⠁⠏⠜⠗⠐⠊⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠽⠍⠏⠑⠗⠊⠇⠁⠍⠃⠁⠝⠕⠍⠐⠑⠝⠚⠝⠀⠞⠚⠝⠀⠀⠀⠀⠀
⠓⠗⠜⠎⠞⠐⠚⠝⠀⠁⠝⠁⠏⠜⠗⠊⠅⠕⠐⠽⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠁
⠁⠍⠁⠭⠊⠙⠐⠊⠥⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠜⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠕⠙⠜⠛⠑⠐⠊⠀⠎⠑⠀⠀⠀
⠎⠜⠍⠑⠐⠊⠕⠀⠏⠥⠀⠞⠕⠀⠍⠕⠝⠕⠏⠐⠁⠞⠊⠀⠀⠀⠀⠀⠀
⠎⠽⠝⠁⠝⠞⠐⠁⠀⠞⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠕⠞⠐⠁⠍⠊⠀⠇⠊⠍⠝⠕⠹⠐⠁⠇⠁⠎⠎⠁⠀⠐⠕⠏⠥⠀⠀⠀
⠐⠑⠓⠩⠀⠙⠊⠁⠍⠕⠗⠋⠚⠹⠑⠐⠊⠀⠏⠗⠕⠎⠃⠐⠁⠎⠊⠍⠜
⠹⠐⠑⠎⠜⠀⠹⠐⠑⠁⠎⠜⠎⠀⠅⠣⠀⠏⠁⠗⠁⠞⠐⠜⠗⠜⠎⠜⠎
⠏⠞⠜⠝⠐⠚⠝⠂⠀⠏⠐⠁⠝⠚⠀⠎⠑⠀⠩⠙⠊⠅⠐⠜⠀⠀⠀⠀⠀
⠏⠇⠁⠞⠋⠐⠕⠗⠍⠁⠀⠏⠗⠕⠎⠃⠐⠁⠎⠊⠍⠜⠀⠎⠑⠀⠀⠀⠀
⠓⠗⠐⠜⠎⠞⠑⠎⠀⠁⠝⠁⠏⠜⠗⠊⠅⠕⠐⠽⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠍⠁⠭⠊⠙⠐⠊⠥⠂⠀⠍⠑⠀⠎⠞⠑⠛⠁⠎⠍⠐⠑⠝⠕⠀⠀⠀⠀
⠓⠐⠚⠗⠕⠀⠀⠅⠊⠐⠕⠎⠅⠊⠀⠀⠅⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠝⠜⠍⠑⠗⠚⠞⠊⠅⠐⠜⠀⠏⠊⠝⠁⠅⠐⠊⠙⠁⠀⠍⠑⠀⠀⠀⠀
⠏⠇⠜⠗⠕⠋⠕⠗⠐⠊⠑⠎⠀⠛⠊⠁⠀⠍⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠇⠜⠗⠕⠋⠕⠗⠐⠊⠑⠎⠀⠛⠊⠁⠀⠞⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠁⠗⠁⠏⠕⠞⠐⠁⠍⠊⠕⠀⠙⠐⠁⠎⠕⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠑⠗⠁⠍⠚⠞⠐⠜⠎⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠎⠞⠜⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠑⠏⠊⠞⠗⠐⠑⠏⠑⠞⠣
⠜⠀⠑⠏⠐⠊⠎⠅⠑⠯⠜⠀⠍⠑⠀⠎⠅⠐⠽⠇⠥⠎⠀⠀⠀⠀⠀⠀⠀
⠕⠙⠜⠛⠕⠐⠽⠎⠀⠐⠜⠀⠅⠣⠀⠎⠅⠐⠽⠇⠥⠎⠀⠀⠀⠀⠀⠀⠀
⠃⠕⠜⠹⠕⠐⠽⠎⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠜⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠑⠐⠊⠝⠣⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠎⠅⠐⠑⠯⠊⠍⠜⠀⠐⠕⠇⠕⠀⠞⠕⠝⠀⠓⠗⠐⠕⠝⠕⠀⠀
⠅⠣⠀⠅⠁⠞⠐⠁⠇⠇⠜⠇⠜⠀⠏⠗⠕⠎⠀⠑⠏⠐⠊⠎⠅⠑⠯⠜⠀
⠞⠊⠎⠀⠏⠑⠗⠊⠎⠎⠐⠕⠞⠑⠗⠑⠎⠀⠐⠚⠗⠑⠎⠀⠞⠜⠎⠀⠀
⠜⠍⠐⠑⠗⠁⠎⠂⠀⠑⠋⠐⠕⠎⠕⠝⠀⠋⠽⠎⠊⠅⠐⠁⠀⠞⠕⠀⠀
⠑⠏⠊⠞⠗⠐⠑⠏⠥⠝⠀⠪⠀⠅⠣⠗⠊⠅⠐⠑⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠽⠝⠹⠐⠜⠅⠑⠎⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠁⠏⠐⠕⠀⠞⠜⠝⠀⠐⠁⠇⠇⠜⠂⠀⠍⠑⠀⠃⠐⠁⠎⠩⠀⠞⠁
⠱⠗⠐⠜⠍⠁⠞⠁⠀⠞⠜⠎⠀⠁⠏⠕⠇⠕⠛⠊⠎⠞⠊⠅⠐⠜⠎⠀⠀
⠑⠏⠊⠹⠑⠐⠚⠗⠜⠎⠜⠎⠂⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠐⠕⠞⠊⠀⠜
⠝⠐⠑⠁⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠏⠁⠗⠥⠎⠊⠐⠁⠵⠩⠀⠞⠁⠀
⠑⠭⠐⠜⠎⠀⠎⠞⠪⠓⠑⠐⠊⠁⠀⠏⠥⠀⠓⠗⠐⠊⠵⠥⠝⠀⠀⠀⠀
⠁⠝⠞⠊⠍⠑⠞⠐⠚⠏⠊⠎⠜⠎⠂⠀⠃⠑⠇⠞⠐⠊⠚⠎⠜⠎⠀⠐⠜
⠅⠣⠀⠛⠑⠝⠊⠅⠐⠕⠞⠑⠗⠁⠀⠏⠗⠕⠎⠕⠓⠐⠜⠎⠀⠀⠀⠀⠀
⠀⠎⠽⠝⠕⠏⠞⠊⠅⠐⠁⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠁⠏⠁⠗⠁⠐⠊⠞⠜⠞⠜⠀⠜⠀⠀⠀
⠙⠊⠁⠍⠐⠕⠗⠋⠚⠎⠜⠀⠎⠜⠍⠑⠐⠊⠚⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠞⠐⠁⠹⠍⠱⠎⠜⠎⠀⠀⠏⠁⠗⠅⠊⠝⠛⠀⠀⠍⠑⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠐⠁⠇⠇⠜⠇⠑⠎⠀⠏⠗⠕⠙⠊⠁⠛⠗⠁⠋⠐⠑⠎⠀⠛⠊⠁
⠕⠓⠐⠜⠍⠁⠞⠁⠀⠁⠍⠑⠁⠀⠎⠐⠽⠍⠋⠚⠝⠁⠀⠍⠑⠀⠞⠊⠎
⠑⠹⠝⠊⠅⠐⠑⠎⠀⠏⠗⠕⠙⠊⠁⠛⠗⠁⠋⠐⠑⠎⠲⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠁⠏⠁⠗⠁⠐⠊⠞⠜⠞⠜⠀⠜⠀⠀⠀
⠙⠊⠁⠍⠐⠕⠗⠋⠚⠎⠜⠀⠏⠗⠕⠎⠃⠐⠁⠎⠊⠍⠜⠎⠀⠀⠀⠀⠀
⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠏⠑⠵⠐⠕⠙⠗⠕⠍⠕⠎⠀⠏⠑⠵⠕⠙⠗⠐⠕⠍⠊⠕⠀⠀⠀⠀⠀
⠎⠐⠽⠍⠋⠚⠝⠁⠀⠍⠑⠀⠞⠊⠎⠀⠑⠹⠝⠊⠅⠐⠑⠎⠀⠀⠀⠀⠀
⠏⠗⠕⠙⠊⠁⠛⠗⠁⠋⠐⠑⠎⠀⠀⠏⠥⠀⠝⠁⠀⠎⠽⠝⠙⠐⠑⠩⠀
⠞⠕⠀⠅⠐⠑⠝⠞⠗⠕⠀⠍⠑⠀⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠋⠑⠞⠜⠗⠐⠊⠁⠀⠇⠐⠜⠭⠜⠀⠞⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠎⠃⠐⠁⠎⠊⠍⠥⠀⠍⠕⠝⠕⠏⠁⠞⠊⠕⠐⠽⠀⠞⠜⠎⠀⠀
⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠀⠀⠏⠑⠗⠐⠊⠏⠥⠀⠼⠙⠚⠍⠲⠀⠀⠀⠀
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠁⠏⠁⠗⠁⠐⠊⠞⠜⠞⠜⠀⠜⠀⠀⠀
⠏⠑⠗⠣⠞⠐⠑⠗⠚⠀⠑⠏⠑⠭⠑⠗⠛⠁⠎⠐⠊⠁⠀⠞⠚⠝⠀⠀⠀
⠓⠩⠗⠕⠇⠊⠎⠹⠐⠜⠗⠚⠝⠀⠀⠏⠐⠁⠝⠚⠀⠍⠐⠑⠗⠕⠎⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠉
⠞⠚⠝⠀⠅⠊⠛⠅⠇⠊⠙⠚⠍⠐⠁⠞⠚⠝⠀⠀⠅⠁⠞⠐⠁⠀⠀⠀⠀
⠍⠐⠜⠅⠕⠎⠀⠞⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠀⠐⠚⠎⠞⠑⠀⠀
⠀⠁⠀⠀⠝⠁⠀⠍⠜⠝⠀⠑⠐⠊⠝⠣⠀⠁⠙⠗⠐⠑⠎⠀⠀⠝⠁⠀⠀
⠍⠜⠝⠀⠐⠑⠓⠥⠝⠀⠁⠅⠐⠊⠙⠑⠎⠂⠀⠅⠲⠇⠏⠲⠀⠏⠥⠀⠀
⠍⠏⠕⠗⠑⠐⠊⠀⠝⠁⠀⠑⠏⠊⠋⠐⠑⠗⠥⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠞⠗⠡⠍⠁⠞⠊⠎⠍⠐⠕⠀⠀⠅⠣⠀⠀⠃⠀⠀⠐⠚⠎⠞⠑⠀⠝⠁⠀
⠋⠐⠑⠗⠥⠝⠀⠩⠙⠕⠏⠪⠐⠜⠎⠩⠎⠀⠎⠑⠀⠍⠕⠗⠋⠐⠜⠀⠀
⠃⠗⠁⠊⠇⠇⠑⠀⠀⠑⠞⠊⠅⠐⠑⠞⠑⠎⠀⠀⠛⠊⠁⠀⠀⠀⠀⠀⠀
⠁⠇⠇⠁⠛⠐⠑⠎⠀⠙⠊⠑⠐⠽⠹⠽⠝⠎⠜⠎⠀⠅⠣⠀⠛⠊⠁⠀⠀
⠞⠕⠝⠀⠑⠝⠞⠕⠏⠊⠎⠍⠐⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠓⠁⠗⠁⠅⠞⠜⠗⠊⠎⠞⠊⠅⠐⠚⠝⠀⠏⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠝⠙⠊⠁⠋⠐⠑⠗⠥⠝⠀⠞⠕⠝⠀⠑⠏⠊⠎⠅⠐⠑⠏⠞⠜⠀⠀⠀
⠀⠏⠲⠓⠲⠂⠀⠏⠇⠜⠗⠕⠋⠕⠗⠊⠁⠅⠐⠑⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠊⠝⠁⠅⠐⠊⠙⠑⠎⠂⠀⠎⠜⠍⠑⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠝⠐⠁⠏⠡⠇⠁⠎⠀⠹⠐⠑⠁⠎⠜⠎⠂⠀⠅⠐⠁⠙⠥⠎⠂⠀⠀⠀
⠺⠉⠂⠀⠅⠲⠇⠏⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠁⠏⠁⠗⠁⠐⠊⠞⠜⠞⠜⠀⠜⠀⠀⠀
⠛⠑⠝⠊⠅⠐⠕⠞⠑⠗⠜⠀⠑⠝⠎⠚⠍⠐⠁⠞⠚⠎⠜⠀⠀⠀⠀⠀⠀
⠁⠏⠞⠊⠅⠐⠜⠎⠀⠎⠐⠜⠍⠁⠝⠎⠜⠎⠀⠀⠁⠝⠐⠁⠛⠇⠽⠋⠜
⠐⠜⠀⠅⠣⠀⠎⠑⠀⠃⠗⠁⠊⠇⠇⠑⠀⠀⠎⠞⠕⠀⠀⠀⠀⠀⠀⠀⠀
⠽⠋⠊⠎⠞⠐⠁⠍⠑⠝⠕⠀⠎⠐⠽⠎⠞⠜⠍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠐⠜⠍⠁⠝⠎⠜⠎⠂⠀⠐⠚⠎⠞⠑⠀⠪⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠇⠜⠗⠕⠋⠕⠗⠐⠊⠑⠎⠀⠏⠥⠀⠙⠊⠁⠞⠐⠊⠹⠑⠝⠞⠣⠀⠀
⠀⠕⠙⠜⠛⠐⠊⠑⠎⠀⠏⠗⠕⠎⠁⠝⠁⠞⠕⠇⠊⠎⠍⠕⠐⠽⠀⠅⠣
⠑⠝⠜⠍⠑⠗⠚⠞⠊⠅⠐⠑⠎⠀⠏⠇⠜⠗⠕⠋⠕⠗⠐⠊⠑⠎⠀⠀⠀
⠝⠁⠀⠑⠐⠊⠝⠣⠀⠏⠗⠕⠎⠃⠐⠁⠎⠊⠍⠑⠎⠀⠅⠣⠀⠎⠑⠀⠀
⠞⠽⠋⠇⠐⠁⠀⠐⠁⠞⠕⠍⠁⠀⠐⠁⠞⠕⠍⠁⠀⠍⠑⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠃⠇⠐⠜⠍⠁⠞⠁⠀⠐⠕⠗⠁⠎⠜⠎⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠙
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠑⠏⠊⠹⠽⠍⠜⠞⠐⠜⠀⠜⠀⠀⠀⠀
⠑⠝⠎⠚⠍⠐⠁⠞⠚⠎⠜⠀⠏⠑⠗⠊⠵⠐⠚⠍⠁⠞⠕⠎⠀⠀⠀⠀⠀
⠐⠽⠯⠥⠎⠀⠞⠥⠇⠐⠁⠓⠊⠎⠞⠕⠝⠀⠼⠁⠚⠀⠑⠅⠲⠀⠀⠀⠀
⠀⠏⠲⠓⠲⠂⠀⠎⠞⠕⠀⠅⠐⠁⠞⠚⠀⠍⠐⠑⠗⠕⠎⠀⠞⠚⠝⠀⠀
⠅⠊⠛⠅⠇⠊⠙⠚⠍⠐⠁⠞⠚⠝⠀⠀⠅⠁⠞⠐⠁⠀⠍⠐⠜⠅⠕⠎⠀
⠞⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠀⠛⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠱⠅⠐⠕⠇⠽⠝⠎⠜⠀⠓⠗⠜⠎⠞⠐⠚⠝⠀⠇⠱⠅⠕⠐⠽⠀⠀
⠍⠏⠁⠎⠞⠥⠝⠊⠕⠐⠽⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠊⠙⠊⠁⠐⠊⠞⠑⠗⠁⠀⠀⠀⠀⠀⠀
⠎⠜⠍⠁⠝⠞⠊⠅⠐⠜⠀⠜⠀⠞⠁⠅⠞⠊⠅⠐⠜⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠽⠝⠞⠐⠜⠗⠜⠎⠜⠀⠞⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠀⠀⠀⠀
⠀⠅⠁⠹⠁⠗⠊⠐⠕⠞⠜⠞⠁⠂⠀⠅⠇⠐⠁⠙⠑⠍⠁⠂⠀⠀⠀⠀⠀
⠁⠏⠕⠍⠐⠁⠅⠗⠽⠝⠎⠜⠀⠏⠑⠎⠍⠐⠑⠝⠚⠝⠀⠀⠀⠀⠀⠀⠀
⠅⠇⠁⠙⠊⠐⠚⠝⠂⠀⠭⠑⠓⠕⠗⠞⠐⠁⠗⠊⠁⠎⠍⠁⠂⠀⠀⠀⠀
⠎⠽⠝⠞⠐⠜⠗⠜⠎⠜⠀⠞⠚⠝⠀⠭⠐⠽⠇⠊⠝⠚⠝⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠁⠎⠅⠱⠐⠚⠝⠂⠀⠅⠲⠇⠏⠲⠀⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠎⠜⠍⠁⠝⠞⠊⠅⠐⠕⠀⠞⠕⠀⠀⠀
⠏⠗⠕⠎⠚⠏⠊⠅⠐⠕⠀⠞⠥⠀⠅⠐⠑⠝⠞⠗⠥⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠎⠀⠝⠁⠀⠇⠐⠁⠃⠩⠀⠀⠀⠀⠀⠀⠀
⠑⠭⠩⠙⠊⠅⠱⠍⠐⠑⠝⠜⠀⠑⠅⠏⠁⠐⠊⠙⠱⠎⠜⠀⠛⠊⠁⠀⠀
⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠭⠽⠏⠜⠗⠐⠑⠞⠜⠎⠜⠀⠭⠑⠝⠐⠁⠛⠜⠎⠜⠀⠏⠇⠜⠗⠕⠀
⠋⠐⠕⠗⠜⠎⠜⠀⠁⠞⠐⠕⠍⠚⠝⠀⠍⠑⠀⠁⠝⠁⠏⠜⠗⠐⠊⠁⠲
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠑⠏⠊⠹⠽⠍⠜⠞⠐⠕⠀⠝⠁⠀⠀⠀
⠑⠭⠕⠏⠇⠊⠎⠹⠑⠐⠊⠀⠞⠕⠀⠅⠐⠑⠝⠞⠗⠕⠀⠍⠑⠀⠀⠀⠀
⠑⠭⠕⠏⠇⠊⠎⠍⠐⠕⠀⠅⠣⠀⠎⠽⠎⠅⠱⠐⠑⠎⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠐⠁⠇⠇⠜⠇⠑⠎⠀⠛⠊⠁⠀⠑⠏⠊⠎⠅⠐⠑⠏⠞⠑⠎⠀⠀
⠍⠑⠀⠁⠝⠁⠏⠜⠗⠐⠊⠁⠀⠀⠏⠲⠓⠲⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠑
⠅⠁⠞⠐⠁⠇⠇⠜⠇⠁⠀⠓⠩⠗⠕⠅⠐⠊⠝⠜⠞⠁⠀⠀⠀⠀⠀⠀⠀
⠁⠝⠁⠏⠜⠗⠊⠅⠐⠁⠀⠁⠍⠁⠭⠐⠊⠙⠊⠁⠀⠍⠑⠀⠀⠀⠀⠀⠀
⠓⠕⠝⠞⠗⠐⠑⠎⠀⠗⠐⠕⠙⠑⠎⠀⠛⠊⠁⠀⠙⠊⠐⠁⠹⠑⠎⠜⠀
⠎⠞⠕⠀⠅⠪⠝⠐⠕⠂⠀⠍⠊⠅⠗⠐⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠜⠇⠑⠅⠞⠗⠕⠅⠐⠊⠝⠜⠞⠕⠀⠁⠍⠁⠭⠐⠊⠙⠊⠕⠀⠀⠀⠀⠀
⠞⠐⠽⠏⠥⠀⠛⠅⠕⠇⠋⠀⠍⠑⠀⠹⠐⠑⠎⠜⠀⠅⠣⠀⠛⠊⠁⠀⠀
⠁⠝⠁⠏⠜⠗⠊⠅⠐⠕⠀⠁⠍⠁⠭⠐⠊⠙⠊⠕⠀⠛⠊⠁⠀⠀⠀⠀⠀
⠭⠑⠝⠁⠛⠐⠜⠎⠩⠎⠂⠀⠏⠗⠕⠍⠐⠜⠹⠩⠁⠀⠅⠣⠀⠀⠀⠀⠀
⠞⠕⠏⠕⠹⠐⠑⠞⠜⠎⠜⠀⠏⠑⠗⠊⠎⠅⠕⠏⠐⠊⠚⠝⠀⠎⠑⠀⠀
⠅⠁⠞⠐⠁⠇⠇⠜⠇⠁⠀⠐⠽⠯⠜⠀⠛⠊⠁⠀⠐⠕⠇⠥⠎⠂⠀⠀⠀
⠎⠐⠽⠎⠞⠜⠍⠁⠀⠡⠞⠐⠕⠝⠕⠍⠜⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠭⠑⠝⠐⠁⠛⠜⠎⠜⠎⠂⠀⠅⠲⠇⠏⠲⠀⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠑⠏⠊⠹⠽⠍⠜⠞⠐⠕⠀⠝⠁⠀⠀⠀
⠍⠑⠞⠁⠛⠗⠁⠋⠹⠑⠐⠊⠀⠞⠕⠀⠽⠇⠊⠅⠐⠕⠀⠀⠀⠀⠀⠀⠀
⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠎⠀⠏⠥⠀⠙⠊⠁⠞⠐⠊⠹⠑⠞⠣⠀⠀
⠎⠞⠥⠎⠀⠑⠏⠊⠎⠅⠐⠑⠏⠞⠑⠎⠀⠞⠥⠀⠅⠐⠑⠝⠞⠗⠥⠀⠀
⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠎⠀⠎⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠝⠁⠇⠇⠁⠅⠞⠊⠅⠐⠑⠎⠀⠏⠗⠕⠎⠃⠐⠁⠎⠊⠍⠑⠎⠀⠀⠀
⠍⠕⠗⠋⠐⠑⠎⠀⠀⠏⠗⠕⠎⠃⠐⠁⠎⠊⠍⠑⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠜⠇⠑⠅⠞⠗⠕⠝⠊⠅⠐⠑⠎⠀⠍⠕⠗⠋⠐⠑⠎⠂⠀⠎⠑⠀⠀⠀⠀
⠁⠅⠥⠎⠞⠊⠅⠐⠜⠀⠍⠕⠗⠋⠐⠜⠂⠀⠎⠑⠀⠍⠕⠗⠋⠐⠜⠀⠀
⠃⠐⠊⠝⠞⠑⠕⠀⠍⠑⠀⠁⠏⠐⠕⠙⠕⠎⠜⠀⠎⠑⠀⠀⠀⠀⠀⠀⠀
⠝⠕⠜⠍⠁⠞⠊⠅⠐⠜⠀⠛⠇⠐⠚⠎⠎⠁⠂⠀⠎⠑⠀⠀⠀⠀⠀⠀⠀
⠐⠑⠝⠞⠽⠏⠜⠀⠍⠕⠗⠋⠐⠜⠀⠃⠗⠁⠊⠇⠇⠑⠂⠀⠎⠑⠀⠀⠀
⠐⠑⠝⠞⠽⠏⠜⠀⠍⠕⠗⠋⠐⠜⠀⠛⠊⠁⠀⠁⠍⠃⠇⠐⠽⠚⠏⠑⠎
⠤⠀⠇⠁⠗⠛⠑⠏⠗⠊⠝⠞⠂⠀⠎⠑⠀⠍⠕⠗⠋⠐⠜⠀⠀⠀⠀⠀⠀
⠑⠐⠽⠅⠕⠇⠜⠎⠀⠁⠝⠐⠁⠛⠝⠚⠎⠜⠎⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠁⠎⠽⠗⠑⠁⠙⠂⠀⠅⠇⠏⠲⠀⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠋
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠑⠏⠊⠹⠽⠍⠜⠞⠐⠕⠀⠝⠁⠀⠀⠀
⠃⠑⠇⠞⠊⠚⠹⠑⠐⠊⠀⠜⠀⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠀
⠞⠥⠀⠅⠐⠑⠝⠞⠗⠥⠀⠀⠙⠜⠍⠊⠥⠗⠛⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠎⠃⠐⠁⠎⠊⠍⠥⠀⠺⠉⠂⠀⠏⠗⠕⠎⠹⠐⠜⠅⠜⠀⠀⠀⠀
⠁⠏⠞⠊⠅⠐⠜⠎⠀⠎⠐⠜⠍⠁⠝⠎⠜⠎⠀⠎⠞⠁⠀⠀⠀⠀⠀⠀⠀
⠑⠅⠹⠐⠑⠍⠁⠞⠁⠀⠅⠣⠀⠎⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠋⠚⠞⠕⠛⠗⠁⠋⠊⠅⠐⠜⠀⠐⠑⠅⠹⠑⠎⠜⠂⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠝⠎⠚⠍⠐⠁⠞⠚⠎⠜⠀⠑⠝⠁⠇⠇⠁⠅⠞⠊⠅⠐⠚⠝⠀⠀⠀⠀
⠞⠗⠐⠕⠏⠚⠝⠀⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠎⠂⠀⠏⠲⠓⠲⠂⠀
⠁⠅⠥⠎⠞⠊⠅⠐⠑⠎⠀⠏⠑⠗⠊⠛⠗⠁⠋⠐⠑⠎⠂⠀⠀⠀⠀⠀⠀
⠏⠑⠗⠊⠛⠗⠁⠋⠐⠑⠎⠀⠎⠑⠀⠝⠕⠜⠍⠁⠞⠊⠅⠐⠜⠀⠀⠀⠀
⠛⠇⠐⠚⠎⠎⠁⠀⠅⠲⠇⠏⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠎⠜⠍⠁⠝⠞⠊⠅⠐⠕⠀⠞⠕⠀⠀⠀
⠅⠐⠑⠝⠞⠗⠕⠀⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠎⠀⠝⠁⠀⠀⠀⠀⠀
⠙⠊⠁⠍⠕⠗⠋⠐⠚⠎⠩⠀⠩⠙⠊⠅⠐⠕⠀⠏⠇⠐⠁⠝⠕⠀⠍⠑⠀
⠏⠗⠕⠃⠇⠐⠑⠯⠩⠎⠀⠛⠊⠁⠀⠐⠑⠅⠞⠁⠅⠞⠑⠎⠀⠀⠀⠀⠀
⠏⠑⠗⠊⠏⠞⠐⠚⠎⠩⠎⠀⠅⠣⠀⠏⠑⠗⠊⠏⠞⠐⠚⠎⠩⠎⠀⠀⠀
⠅⠊⠝⠙⠐⠽⠝⠥⠀⠏⠥⠀⠝⠁⠀⠇⠁⠍⠃⠐⠁⠝⠥⠝⠀⠀⠀⠀⠀
⠽⠏⠐⠕⠯⠜⠀⠞⠊⠎⠀⠁⠝⠐⠁⠛⠅⠑⠎⠀⠞⠚⠝⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠍⠑⠀⠁⠝⠁⠏⠜⠗⠐⠊⠁⠲⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠑⠝⠀⠅⠁⠞⠁⠅⠇⠑⠐⠊⠙⠊⠂⠀⠜⠀⠝⠐⠑⠁⠀⠀⠀⠀⠀
⠪⠅⠕⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠎⠞⠜⠝⠀⠅⠑⠗⠁⠍⠚⠞⠐⠜⠀⠀
⠎⠽⠝⠊⠎⠞⠐⠁⠀⠍⠊⠁⠀⠎⠜⠍⠁⠝⠞⠊⠅⠐⠜⠂⠀⠅⠣⠀⠀
⠏⠗⠚⠞⠕⠏⠕⠗⠊⠁⠅⠐⠜⠀⠛⠊⠁⠀⠞⠜⠀⠓⠐⠚⠗⠁⠂⠀⠀
⠱⠅⠣⠗⠐⠊⠁⠀⠏⠗⠐⠕⠎⠃⠁⠎⠜⠀⠎⠞⠜⠀⠋⠐⠽⠎⠜⠀⠀
⠛⠊⠁⠀⠑⠏⠊⠎⠅⠐⠑⠏⠞⠑⠎⠀⠍⠑⠀⠍⠩⠚⠍⠐⠑⠝⠜⠀⠀
⠅⠊⠝⠜⠞⠊⠅⠐⠕⠞⠜⠞⠁⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠛
⠀⠀⠩⠙⠊⠅⠐⠕⠞⠑⠗⠁⠂⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠐⠕⠞⠊⠀⠀
⠋⠐⠑⠗⠩⠀⠓⠁⠗⠁⠅⠞⠜⠗⠊⠎⠞⠊⠅⠐⠁⠀⠏⠥⠀⠹⠁⠀⠀
⠙⠊⠱⠅⠕⠇⠐⠽⠝⠥⠝⠀⠎⠜⠍⠁⠝⠞⠊⠅⠐⠁⠀⠞⠜⠝⠀⠀⠀
⠑⠏⠐⠊⠎⠅⠑⠯⠜⠂⠀⠑⠐⠊⠞⠑⠀⠡⠞⠐⠕⠝⠕⠍⠁⠀⠀⠀⠀
⠑⠐⠊⠞⠑⠀⠍⠑⠀⠎⠽⠝⠕⠙⠐⠕⠂⠀⠁⠏⠐⠕⠀⠐⠁⠞⠕⠍⠁
⠍⠑⠀⠏⠑⠗⠊⠕⠗⠊⠎⠍⠕⠐⠽⠎⠀⠅⠐⠊⠝⠜⠎⠜⠎⠀⠀⠀⠀
⠀⠐⠁⠞⠕⠍⠁⠀⠏⠥⠀⠓⠗⠜⠎⠊⠍⠕⠏⠪⠕⠐⠽⠝⠀⠀⠀⠀⠀
⠍⠏⠁⠎⠞⠕⠐⠽⠝⠊⠂⠀⠃⠁⠅⠞⠜⠗⠐⠊⠑⠎⠂⠀⠀⠀⠀⠀⠀
⠅⠲⠇⠏⠲⠀⠂⠀⠐⠁⠞⠕⠍⠁⠀⠍⠑⠀⠁⠝⠁⠏⠜⠗⠊⠅⠐⠕⠀
⠁⠍⠁⠭⠐⠊⠙⠊⠕⠀⠀⠎⠓⠑⠙⠐⠕⠝⠀⠐⠕⠇⠚⠝⠀⠞⠚⠝⠀
⠞⠐⠽⠏⠚⠝⠀⠂⠀⠐⠁⠞⠕⠍⠁⠀⠍⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠑⠗⠊⠕⠗⠊⠎⠍⠐⠑⠝⠜⠀⠐⠕⠗⠁⠎⠜⠀⠅⠣⠀⠀⠀⠀⠀⠀
⠐⠁⠞⠕⠍⠁⠀⠞⠽⠋⠇⠐⠁⠀⠏⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠓⠗⠜⠎⠊⠍⠕⠏⠪⠕⠐⠽⠝⠀⠎⠅⠐⠽⠇⠕⠀⠕⠙⠜⠛⠐⠕⠀⠀
⠐⠜⠀⠅⠣⠀⠇⠱⠅⠐⠕⠀⠍⠏⠁⠎⠞⠕⠐⠽⠝⠊⠲⠀⠀⠀⠀⠀⠀
⠀⠀⠛⠊⠁⠀⠞⠜⠝⠀⠏⠑⠗⠐⠊⠏⠞⠚⠎⠜⠀⠞⠚⠝⠀⠀⠀⠀⠀
⠞⠽⠋⠇⠐⠚⠝⠀⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠂⠀⠞⠚⠝⠀⠀⠀⠀⠀
⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠍⠑⠀⠏⠗⠕⠃⠇⠐⠜⠍⠁⠞⠁⠀⠀⠀
⠐⠕⠗⠁⠎⠜⠎⠀⠅⠣⠀⠞⠚⠝⠀⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠍⠑
⠁⠝⠁⠏⠜⠗⠊⠅⠐⠕⠀⠁⠍⠁⠭⠐⠊⠙⠊⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠽⠝⠊⠎⠞⠐⠁⠞⠣⠀⠜⠀⠑⠏⠐⠊⠎⠅⠑⠯⠜⠀⠝⠁⠀⠀⠀⠀
⠛⠐⠊⠝⠑⠞⠣⠀⠍⠑⠀⠎⠽⠝⠕⠙⠐⠕⠀⠃⠕⠜⠹⠐⠕⠀⠀⠀⠀
⠐⠜⠀⠅⠣⠀⠏⠁⠗⠐⠑⠁⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠜⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠎⠅⠐⠑⠯⠊⠍⠜⠀⠅⠣⠀⠛⠊⠁⠀⠐⠁⠞⠕⠍⠁⠀⠀⠀⠀
⠅⠚⠋⠐⠁⠀⠐⠜⠀⠍⠑⠀⠏⠗⠕⠃⠇⠐⠜⠍⠁⠞⠁⠀⠀⠀⠀⠀⠀
⠁⠅⠕⠐⠜⠎⠂⠀⠅⠁⠹⠐⠚⠎⠀⠅⠣⠀⠛⠊⠁⠀⠐⠁⠞⠕⠍⠁⠀
⠍⠑⠀⠝⠕⠜⠞⠊⠅⠐⠑⠎⠀⠛⠝⠚⠎⠞⠊⠅⠐⠑⠎⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠓
⠁⠝⠁⠏⠜⠗⠐⠊⠑⠎⠂⠀⠏⠁⠗⠐⠕⠞⠊⠀⠙⠑⠝⠀⠀⠀⠀⠀⠀
⠏⠑⠗⠊⠇⠁⠍⠃⠐⠁⠝⠕⠝⠞⠣⠀⠑⠝⠙⠑⠓⠕⠍⠐⠑⠝⠚⠎⠀
⠑⠏⠊⠹⠽⠍⠜⠞⠐⠑⠎⠀⠏⠗⠕⠎⠁⠗⠍⠕⠛⠐⠑⠎⠀⠀⠀⠀⠀
⠙⠊⠱⠅⠕⠇⠐⠽⠝⠎⠩⠎⠀⠩⠙⠊⠅⠐⠁⠀⠛⠊⠁⠀⠡⠞⠐⠑⠎
⠞⠊⠎⠀⠅⠁⠞⠜⠛⠕⠗⠐⠊⠑⠎⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠽⠏⠕⠅⠑⠋⠐⠁⠇⠣⠕⠀⠼⠁⠲⠃⠒⠀⠝⠐⠑⠁⠀⠀⠀⠀⠀
⠪⠅⠕⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠎⠞⠕⠀⠋⠽⠎⠊⠅⠐⠕⠀⠀⠀⠀⠀
⠅⠁⠞⠁⠋⠐⠽⠛⠊⠕⠀⠏⠁⠗⠁⠝⠛⠁⠇⠊⠞⠎⠁⠲⠀⠀⠀⠀⠀
⠀⠀⠓⠀⠝⠐⠑⠁⠀⠪⠅⠕⠞⠥⠗⠊⠎⠞⠊⠅⠐⠜⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠎⠞⠜⠝⠀⠏⠗⠁⠝⠛⠁⠇⠊⠞⠎⠁⠀⠀⠀
⠛⠊⠁⠀⠞⠜⠝⠀⠏⠁⠗⠁⠞⠐⠜⠗⠜⠎⠜⠀⠞⠜⠎⠀⠀⠀⠀⠀⠀
⠓⠇⠚⠗⠐⠊⠙⠁⠎⠀⠅⠣⠀⠞⠜⠎⠀⠏⠁⠝⠐⠊⠙⠁⠎⠀⠎⠞⠕
⠑⠹⠝⠊⠅⠐⠕⠀⠏⠐⠁⠗⠅⠕⠀⠞⠜⠎⠀⠗⠐⠊⠇⠁⠀⠐⠑⠓⠩
⠎⠓⠑⠙⠊⠁⠎⠞⠑⠐⠊⠀⠛⠊⠁⠀⠝⠁⠀⠏⠗⠕⠎⠑⠇⠅⠐⠽⠩
⠙⠊⠐⠁⠋⠕⠗⠑⠎⠀⠅⠁⠞⠜⠛⠕⠗⠐⠊⠑⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠂⠀⠁⠏⠐⠕⠀⠇⠐⠁⠞⠗⠩⠎⠀⠞⠜⠎
⠋⠐⠽⠎⠜⠎⠀⠅⠣⠀⠍⠁⠹⠜⠞⠊⠅⠕⠐⠽⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠅⠙⠗⠕⠍⠑⠐⠊⠎⠂⠀⠍⠐⠑⠓⠗⠊⠀⠅⠣⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠕⠐⠊⠅⠥⠎⠀⠞⠚⠝⠀⠛⠐⠽⠗⠚⠀⠏⠑⠗⠊⠕⠓⠐⠚⠝
⠏⠥⠀⠁⠝⠁⠵⠜⠞⠕⠐⠽⠝⠀⠇⠐⠊⠛⠜⠀⠐⠁⠎⠅⠜⠎⠜⠀⠀
⠅⠣⠀⠑⠏⠁⠋⠐⠜⠀⠍⠑⠀⠞⠜⠀⠋⠐⠽⠎⠜⠲⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠏⠗⠐⠕⠅⠩⠞⠣⠀⠛⠊⠁⠀⠍⠊⠁⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀
⠎⠑⠀⠱⠹⠑⠐⠊⠁⠂⠀⠑⠏⠐⠊⠀⠞⠜⠎⠀⠥⠎⠐⠊⠁⠎⠀⠀⠀
⠀⠅⠽⠅⠇⠊⠅⠐⠜⠀⠀⠍⠑⠀⠎⠽⠝⠕⠇⠊⠅⠐⠕⠀⠀⠀⠀⠀⠀
⠍⠐⠜⠅⠕⠎⠀⠏⠑⠗⠐⠊⠏⠥⠀⠼⠙⠚⠚⠀⠍⠐⠑⠞⠗⠁⠂⠀⠜
⠕⠏⠕⠐⠊⠁⠀⠭⠑⠅⠊⠝⠐⠁⠀⠅⠣⠀⠞⠑⠇⠩⠐⠚⠝⠩⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠊
⠎⠞⠕⠀⠐⠊⠙⠊⠕⠀⠎⠜⠍⠑⠐⠊⠕⠂⠀⠎⠑⠀⠹⠐⠑⠎⠜⠀⠀
⠏⠁⠗⠁⠞⠐⠜⠗⠜⠎⠜⠎⠀⠏⠞⠜⠝⠐⠚⠝⠀⠏⠥⠀⠀⠀⠀⠀⠀
⠃⠗⠐⠊⠎⠅⠑⠞⠣⠀⠎⠞⠊⠎⠀⠏⠁⠗⠽⠋⠐⠑⠎⠀⠞⠥⠀⠀⠀
⠋⠽⠎⠊⠅⠕⠐⠽⠀⠅⠁⠞⠁⠋⠽⠛⠐⠊⠥⠀⠞⠜⠎⠀⠀⠀⠀⠀⠀
⠏⠁⠗⠁⠝⠛⠁⠇⠊⠞⠎⠁⠂⠀⠑⠏⠐⠊⠀⠞⠥⠀⠀⠀⠀⠀⠀⠀⠀
⠱⠗⠚⠏⠁⠐⠊⠅⠕⠐⠽⠀⠍⠕⠝⠕⠏⠁⠞⠊⠕⠐⠽⠀⠑⠙⠂⠀⠀
⠐⠕⠏⠥⠀⠇⠁⠍⠃⠐⠁⠝⠥⠝⠀⠓⠐⠚⠗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠁⠗⠥⠎⠊⠐⠁⠎⠩⠎⠂⠀⠭⠑⠝⠁⠛⠐⠜⠎⠩⠎⠀⠅⠣⠀⠀⠀
⠑⠅⠏⠣⠙⠱⠞⠊⠅⠐⠑⠎⠀⠙⠗⠁⠎⠞⠜⠗⠊⠐⠕⠞⠜⠞⠑⠎⠀
⠁⠏⠐⠕⠀⠞⠜⠀⠙⠊⠑⠐⠽⠹⠽⠝⠎⠜⠀⠞⠥⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠹⠝⠊⠅⠕⠐⠽⠀⠏⠐⠁⠗⠅⠥⠀⠞⠜⠎⠀⠗⠊⠇⠁⠂⠀⠅⠣⠀
⠑⠅⠞⠑⠐⠊⠝⠑⠞⠣⠀⠝⠕⠞⠊⠕⠁⠝⠁⠞⠕⠇⠊⠅⠐⠁⠀⠀⠀
⠍⠐⠑⠎⠚⠀⠞⠥⠀⠏⠁⠗⠁⠅⠑⠐⠊⠍⠑⠝⠥⠀⠙⠐⠁⠎⠥⠎⠀
⠐⠕⠏⠥⠀⠃⠗⠐⠊⠎⠅⠑⠞⠣⠀⠍⠊⠁⠀⠁⠏⠐⠕⠀⠞⠊⠎⠀⠀
⠕⠅⠞⠐⠚⠀⠩⠎⠐⠕⠙⠥⠎⠀⠎⠞⠕⠀⠑⠹⠝⠊⠅⠐⠕⠀⠀⠀⠀
⠏⠐⠁⠗⠅⠕⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠏⠇⠐⠑⠕⠝⠂⠀⠍⠑⠞⠐⠁⠀⠞⠊⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠁⠗⠑⠍⠃⠐⠁⠎⠩⠎⠀⠅⠣⠀⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠭⠕⠍⠐⠁⠇⠽⠝⠎⠜⠀⠞⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠂⠀⠀
⠞⠕⠀⠍⠕⠝⠕⠏⠐⠁⠞⠊⠀⠑⠐⠊⠝⠣⠀⠎⠓⠑⠞⠊⠅⠐⠁⠀⠀
⠐⠜⠏⠊⠕⠂⠀⠐⠑⠓⠩⠀⠑⠏⠊⠋⠐⠁⠝⠩⠁⠀⠏⠥⠀⠀⠀⠀⠀
⠁⠏⠕⠞⠑⠇⠑⠐⠊⠞⠣⠀⠅⠽⠗⠐⠊⠚⠎⠀⠁⠏⠐⠕⠀⠀⠀⠀⠀
⠋⠽⠎⠊⠅⠐⠕⠀⠐⠑⠙⠁⠋⠕⠎⠀⠍⠑⠀⠅⠐⠁⠏⠪⠑⠎⠀⠀⠀
⠋⠽⠎⠊⠅⠐⠑⠎⠀⠁⠝⠚⠍⠁⠇⠐⠊⠑⠎⠀⠞⠕⠏⠊⠅⠐⠁⠀⠀
⠅⠣⠀⠍⠊⠅⠗⠐⠑⠎⠀⠑⠛⠅⠐⠁⠗⠎⠊⠑⠎⠀⠅⠇⠐⠊⠎⠩⠎
⠀⠇⠊⠛⠐⠕⠞⠑⠗⠕⠀⠁⠏⠐⠕⠀⠼⠛⠀⠍⠕⠐⠊⠗⠑⠎⠀⠀⠀
⠅⠁⠹⠐⠚⠎⠀⠅⠣⠀⠅⠐⠁⠏⠪⠑⠎⠀⠎⠓⠑⠞⠊⠅⠐⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠉⠚
⠐⠑⠝⠞⠕⠝⠑⠎⠀⠅⠇⠐⠊⠎⠩⠎⠀⠞⠕⠏⠊⠅⠐⠁⠀⠀⠀⠀⠀
⠅⠁⠞⠐⠁⠀⠍⠐⠜⠅⠕⠎⠀⠞⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠀⠀
⠀⠇⠊⠛⠐⠕⠞⠑⠗⠕⠀⠁⠏⠐⠕⠀⠼⠁⠚⠀⠍⠕⠐⠊⠗⠑⠎⠀⠂
⠜⠀⠕⠏⠕⠐⠊⠁⠀⠑⠐⠊⠝⠣⠀⠁⠝⠜⠋⠕⠗⠊⠅⠐⠜⠀⠍⠑⠀
⠞⠕⠀⠽⠯⠐⠕⠍⠑⠞⠗⠕⠀⠭⠑⠅⠊⠝⠐⠁⠀⠁⠏⠐⠕⠀⠀⠀⠀
⠼⠁⠲⠙⠓⠙⠍⠲⠀⠅⠣⠀⠝⠁⠀⠅⠁⠞⠁⠇⠐⠜⠛⠩⠀⠎⠞⠁⠀
⠼⠁⠲⠑⠚⠚⠀⠍⠲⠀⠀⠙⠜⠇⠲⠀⠙⠊⠁⠋⠕⠗⠐⠁⠀⠼⠁⠋⠀
⠍⠲⠀⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠎⠑⠀⠎⠽⠝⠑⠗⠛⠁⠎⠐⠊⠁⠀⠍⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠑⠐⠽⠹⠽⠝⠎⠜⠀⠞⠥⠀⠑⠹⠝⠊⠅⠕⠐⠽⠀⠏⠐⠁⠗⠅⠥
⠞⠜⠎⠀⠗⠊⠇⠁⠂⠀⠜⠀⠑⠞⠣⠗⠐⠊⠁⠀⠙⠕⠍⠐⠜⠀⠀⠀⠀
⠁⠝⠐⠁⠏⠞⠽⠭⠜⠎⠂⠀⠑⠅⠀⠍⠐⠑⠗⠥⠎⠀⠞⠜⠎⠀⠀⠀⠀
⠑⠲⠎⠲⠁⠲⠍⠑⠁⠲⠀⠏⠗⠕⠛⠗⠁⠍⠍⠐⠁⠞⠊⠎⠑⠀⠅⠣⠀
⠕⠇⠕⠅⠇⠐⠜⠗⠚⠎⠑⠀⠍⠊⠁⠀⠑⠏⠊⠞⠐⠕⠏⠊⠁⠀⠀⠀⠀
⠡⠞⠕⠯⠐⠊⠁⠀⠛⠊⠁⠀⠞⠕⠝⠀⠐⠑⠇⠑⠛⠓⠕⠀⠞⠜⠎⠀⠀
⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠎⠀⠅⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠛⠑⠝⠊⠅⠐⠕⠞⠑⠗⠁⠀⠞⠜⠎⠀⠋⠊⠇⠊⠅⠐⠕⠞⠜⠞⠁⠎⠀
⠞⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠀⠏⠗⠕⠎⠀⠞⠊⠎⠀⠀⠀⠀⠀⠀
⠙⠊⠐⠁⠋⠕⠗⠑⠎⠀⠅⠁⠞⠜⠛⠕⠗⠐⠊⠑⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠍⠑⠀⠍⠩⠚⠍⠐⠑⠝⠜⠀⠀⠀⠀⠀⠀
⠅⠊⠝⠜⠞⠊⠅⠐⠕⠞⠜⠞⠁⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠜⠀⠡⠞⠕⠯⠐⠊⠁⠀⠙⠊⠑⠭⠐⠁⠓⠹⠜⠅⠑⠀⠎⠞⠊⠎⠀
⠼⠃⠊⠀⠀⠀⠼⠉⠁⠀⠕⠅⠞⠚⠃⠗⠐⠊⠥⠀⠼⠃⠚⠃⠚⠂⠀⠀⠀
⠐⠕⠞⠁⠝⠀⠞⠁⠀⠞⠑⠓⠝⠊⠅⠐⠁⠀⠐⠑⠗⠛⠁⠀⠀⠀⠀⠀⠀
⠙⠊⠁⠍⠐⠕⠗⠋⠚⠎⠜⠎⠀⠞⠥⠀⠍⠕⠝⠕⠏⠁⠞⠊⠕⠐⠽⠀⠀
⠑⠐⠊⠓⠁⠝⠀⠏⠇⠐⠑⠕⠝⠀⠕⠇⠕⠅⠇⠜⠗⠚⠹⠑⠐⠊⠂⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠉⠁
⠅⠣⠀⠑⠐⠊⠓⠑⠀⠁⠏⠕⠇⠕⠛⠊⠎⠞⠊⠅⠐⠕⠀⠀⠀⠀⠀⠀⠀
⠓⠁⠗⠁⠅⠞⠐⠜⠗⠁⠀⠀⠁⠛⠛⠇⠲⠀⠎⠥⠍⠍⠁⠞⠊⠧⠑⠀⠲
⠙⠜⠇⠁⠙⠐⠜⠂⠀⠪⠀⠐⠑⠇⠑⠛⠓⠪⠀⠑⠐⠊⠓⠁⠝⠀⠚⠎⠀
⠃⠁⠎⠊⠅⠐⠕⠀⠎⠞⠐⠕⠓⠕⠀⠞⠜⠝⠀⠁⠏⠕⠞⠐⠽⠏⠚⠎⠜
⠞⠚⠝⠀⠞⠑⠇⠊⠅⠐⠚⠝⠀⠎⠽⠝⠹⠜⠅⠐⠚⠝⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠐⠕⠎⠃⠁⠎⠜⠎⠀⠅⠣⠀⠞⠜⠀⠎⠽⠇⠇⠕⠛⠐⠜⠀⠀⠀⠀
⠁⠝⠁⠇⠽⠞⠊⠅⠐⠚⠝⠀⠍⠑⠞⠗⠐⠜⠎⠑⠚⠝⠀⠅⠣⠀⠀⠀⠀
⠙⠑⠙⠕⠍⠐⠑⠝⠚⠝⠀⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠎⠀⠀
⠛⠊⠁⠀⠞⠜⠝⠀⠐⠁⠗⠞⠊⠁⠀⠅⠣⠀⠐⠑⠛⠅⠽⠗⠜⠀⠀⠀⠀
⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠀⠞⠚⠝⠀⠑⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠽⠝⠐⠁⠍⠩⠀⠑⠝⠙⠊⠁⠋⠑⠗⠐⠕⠍⠑⠝⠚⠝⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠞⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠲⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠛⠊⠁⠀⠞⠕⠝⠀⠐⠑⠇⠑⠛⠓⠕⠂⠀⠜⠀⠕⠍⠐⠁⠙⠁⠀⠀
⠑⠇⠑⠛⠅⠞⠐⠚⠝⠀⠑⠏⠊⠹⠑⠚⠗⠜⠞⠐⠚⠝⠀⠀⠀⠀⠀⠀⠀
⠑⠋⠐⠁⠗⠍⠕⠎⠑⠀⠞⠜⠀⠍⠑⠹⠕⠙⠕⠇⠕⠛⠐⠊⠁⠀⠅⠣⠀
⠞⠊⠎⠀⠞⠑⠓⠝⠊⠅⠐⠑⠎⠀⠑⠏⠊⠹⠑⠐⠚⠗⠜⠎⠜⠎⠀⠅⠣
⠍⠑⠞⠗⠐⠜⠎⠑⠚⠝⠀⠏⠥⠀⠏⠗⠕⠙⠊⠁⠛⠗⠐⠁⠋⠕⠝⠞⠣
⠎⠞⠕⠀⠏⠗⠐⠕⠞⠽⠏⠕⠀⠀⠎⠐⠽⠎⠞⠜⠍⠁⠀⠀⠀⠀⠀⠀⠀
⠁⠭⠊⠕⠇⠐⠕⠛⠜⠎⠜⠎⠀⠞⠜⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠚⠝⠀⠀
⠎⠞⠜⠀⠋⠐⠽⠎⠜⠀⠀⠏⠥⠀⠁⠝⠁⠏⠞⠐⠽⠓⠹⠜⠅⠑⠀⠀⠀
⠎⠞⠁⠀⠏⠇⠁⠐⠊⠎⠊⠁⠀⠞⠜⠎⠀⠏⠗⠐⠁⠭⠜⠎⠀⠀⠀⠀⠀
⠃⠊⠕⠃⠉⠁⠗⠑⠀⠅⠣⠀⠎⠽⠍⠏⠑⠗⠊⠇⠁⠍⠃⠐⠁⠝⠑⠞⠣
⠎⠞⠕⠀⠍⠐⠑⠗⠕⠎⠀⠃⠀⠀⠞⠥⠀⠪⠅⠑⠐⠊⠥⠀⠀⠀⠀⠀⠀
⠕⠙⠜⠛⠕⠐⠽⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠇⠐⠕⠛⠚⠀⠞⠚⠝⠀⠏⠑⠗⠊⠕⠗⠊⠎⠍⠐⠚⠝⠀⠛⠊⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠉⠃
⠞⠜⠝⠀⠁⠝⠞⠊⠍⠑⠞⠐⠚⠏⠊⠎⠜⠀⠞⠜⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠁⠝⠙⠜⠍⠐⠊⠁⠎⠀⠉⠕⠧⠊⠙⠁⠊⠂⠀⠞⠑⠇⠊⠅⠐⠁⠂⠀
⠞⠑⠇⠱⠞⠁⠐⠊⠁⠀⠎⠞⠊⠛⠍⠐⠜⠂⠀⠙⠑⠝⠀⠀⠀⠀⠀⠀⠀
⠍⠏⠐⠕⠗⠑⠎⠁⠝⠀⠝⠁⠀⠎⠽⠍⠍⠑⠞⠐⠁⠎⠓⠥⠝⠀⠎⠞⠜
⠙⠊⠁⠙⠊⠅⠁⠎⠐⠊⠁⠀⠁⠝⠞⠊⠏⠗⠕⠎⠚⠏⠱⠞⠊⠅⠕⠐⠊
⠓⠗⠐⠜⠎⠞⠑⠎⠀⠑⠏⠊⠎⠅⠐⠑⠏⠞⠑⠎⠂⠀⠐⠕⠏⠚⠎⠀⠀
⠁⠗⠓⠊⠅⠐⠁⠀⠑⠐⠊⠓⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠛⠗⠁⠍⠍⠁⠞⠊⠎⠹⠑⠐⠊⠲⠀⠑⠏⠐⠊⠎⠜⠎⠂⠀⠀⠀
⠍⠐⠑⠗⠕⠎⠀⠞⠜⠎⠀⠙⠊⠁⠙⠊⠅⠁⠎⠐⠊⠁⠎⠀⠀⠀⠀⠀⠀
⠏⠁⠗⠁⠅⠕⠇⠕⠐⠽⠹⠜⠎⠁⠝⠀⠎⠞⠑⠇⠐⠑⠓⠜⠀⠞⠜⠎⠀
⠙⠊⠑⠐⠽⠹⠽⠝⠎⠜⠎⠀⠚⠎⠀⠀⠋⠕⠗⠐⠑⠁⠀⠀⠀⠀⠀⠀⠀
⠽⠇⠕⠏⠕⠐⠊⠜⠎⠜⠎⠀⠀⠀⠇⠩⠞⠥⠗⠛⠐⠊⠁⠎⠀⠀⠞⠜⠎
⠝⠐⠑⠁⠎⠀⠪⠅⠕⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠂⠀⠛⠑⠛⠕⠝⠐⠕⠎
⠏⠥⠀⠐⠑⠙⠚⠎⠑⠀⠞⠜⠝⠀⠱⠅⠣⠗⠐⠊⠁⠀⠎⠞⠥⠎⠀⠀⠀
⠑⠅⠏⠗⠕⠎⠐⠚⠏⠥⠎⠀⠞⠜⠎⠀⠝⠁⠀⠎⠽⠵⠜⠞⠐⠜⠎⠥⠝
⠍⠑⠀⠞⠥⠎⠀⠑⠏⠊⠹⠑⠚⠗⠜⠞⠐⠑⠎⠀⠞⠁⠀⠀⠀⠀⠀⠀⠀
⠱⠗⠐⠜⠍⠁⠞⠁⠂⠀⠞⠊⠎⠀⠁⠙⠽⠝⠁⠍⠐⠊⠑⠎⠀⠅⠣⠀⠀
⠞⠊⠎⠀⠏⠊⠹⠁⠝⠐⠑⠎⠀⠞⠥⠎⠀⠑⠏⠊⠏⠞⠐⠚⠎⠩⠎⠀⠀
⠎⠑⠀⠙⠊⠐⠁⠋⠕⠗⠑⠎⠀⠅⠁⠞⠜⠛⠕⠗⠐⠊⠑⠎⠀⠀⠀⠀⠀
⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠂⠀⠛⠑⠛⠕⠝⠐⠕⠎⠀⠏⠥⠀⠀⠀⠀⠀
⠁⠋⠐⠽⠏⠝⠊⠎⠑⠀⠞⠕⠀⠑⠝⠙⠊⠁⠋⠐⠑⠗⠕⠝⠀⠞⠥⠎⠀
⠝⠁⠀⠁⠏⠕⠅⠁⠞⠁⠎⠞⠐⠜⠎⠥⠝⠀⠍⠊⠁⠀⠎⠩⠗⠐⠁⠀⠀
⠁⠏⠐⠕⠀⠵⠜⠞⠐⠜⠍⠁⠞⠁⠀⠏⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠝⠞⠕⠏⠐⠊⠎⠹⠜⠅⠁⠝⠀⠞⠕⠀⠎⠽⠝⠞⠕⠍⠐⠕⠞⠑⠗⠕
⠙⠽⠝⠁⠞⠐⠕⠀⠁⠇⠇⠐⠁⠀⠅⠣⠀⠏⠐⠑⠗⠁⠀⠁⠏⠐⠕⠀⠀
⠞⠕⠝⠀⠅⠐⠽⠅⠇⠕⠀⠵⠚⠐⠜⠎⠀⠞⠜⠎⠀⠏⠗⠐⠁⠭⠜⠎⠲
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠁⠅⠗⠊⠃⠐⠚⠎⠀⠏⠗⠊⠝⠀⠁⠏⠐⠕⠀⠞⠜⠝⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠉⠉
⠑⠏⠊⠞⠐⠕⠏⠊⠁⠀⠑⠏⠐⠊⠎⠅⠑⠯⠜⠀⠎⠞⠕⠀⠀⠀⠀⠀⠀
⠙⠊⠁⠍⠕⠗⠋⠚⠍⠐⠑⠝⠕⠀⠍⠕⠝⠕⠏⠐⠁⠞⠊⠂⠀⠀⠀⠀⠀
⠏⠗⠁⠛⠍⠁⠞⠕⠏⠪⠐⠜⠹⠜⠅⠑⠀⠍⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠞⠕⠓⠱⠍⠐⠑⠝⠜⠀⠎⠽⠝⠐⠁⠝⠞⠜⠎⠜⠀⠍⠑⠀⠀⠀⠀⠀
⠍⠐⠑⠇⠜⠀⠞⠜⠎⠀⠕⠍⠐⠁⠙⠁⠎⠀⠐⠑⠗⠛⠥⠀⠞⠚⠝⠀⠀
⠑⠞⠣⠗⠊⠐⠚⠝⠀⠍⠁⠎⠀⠀⠙⠜⠇⠁⠙⠐⠜⠀⠞⠥⠎⠀⠀⠀⠀
⠑⠏⠊⠹⠑⠚⠗⠜⠞⠐⠑⠎⠀⠀⠅⠣⠀⠑⠅⠏⠗⠕⠎⠐⠚⠏⠥⠎⠀
⠞⠜⠎⠀⠙⠊⠑⠐⠽⠹⠽⠝⠎⠜⠎⠲⠀⠅⠁⠞⠐⠁⠀⠞⠜⠀⠀⠀⠀
⠙⠊⠐⠁⠗⠅⠩⠁⠀⠡⠞⠐⠜⠎⠀⠞⠜⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠽⠝⠐⠁⠝⠞⠜⠎⠜⠎⠂⠀⠜⠀⠕⠍⠐⠁⠙⠁⠀⠞⠚⠝⠀⠀⠀⠀
⠑⠇⠑⠛⠅⠞⠐⠚⠝⠀⠑⠐⠊⠓⠑⠀⠞⠜⠝⠀⠱⠅⠣⠗⠐⠊⠁⠀⠀
⠝⠁⠀⠹⠐⠑⠎⠩⠀⠑⠗⠚⠞⠐⠜⠎⠩⠎⠀⠅⠣⠀⠝⠁⠀⠀⠀⠀⠀
⠇⠐⠁⠃⠩⠀⠁⠏⠁⠝⠞⠐⠜⠎⠩⠎⠀⠁⠏⠐⠕⠀⠐⠕⠇⠥⠎⠀⠀
⠞⠥⠎⠀⠑⠍⠏⠇⠑⠅⠐⠕⠍⠑⠝⠥⠎⠀⠎⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠁⠎⠅⠱⠐⠜⠀⠅⠣⠀⠙⠊⠁⠓⠑⠐⠊⠗⠊⠎⠜⠎⠀⠞⠜⠎
⠝⠐⠑⠁⠎⠀⠪⠅⠕⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠂⠀⠪⠀⠀⠀⠀⠀⠀⠀
⠕⠏⠕⠐⠊⠑⠎⠀⠎⠓⠑⠞⠐⠊⠵⠕⠝⠞⠣⠀⠍⠑⠀⠞⠜⠀⠀⠀⠀
⠎⠽⠍⠏⠇⠐⠜⠗⠚⠎⠜⠀⠞⠚⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠝⠞⠐⠽⠏⠚⠝⠀⠑⠗⠚⠞⠜⠍⠁⠞⠕⠇⠕⠛⠐⠊⠚⠝⠀⠀⠀⠀
⠑⠇⠐⠑⠛⠓⠥⠀⠀⠃⠇⠲⠀⠎⠐⠽⠎⠞⠜⠍⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠭⠊⠕⠇⠐⠕⠛⠜⠎⠜⠎⠀⠤⠀⠋⠐⠕⠗⠍⠑⠎⠀⠦⠁⠦⠀⠲⠀
⠜⠀⠎⠽⠝⠐⠁⠝⠞⠜⠎⠜⠀⠋⠊⠇⠕⠭⠑⠝⠐⠜⠹⠜⠅⠑⠀⠞⠕
⠝⠐⠑⠕⠀⠅⠐⠑⠝⠞⠗⠕⠀⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠎⠀⠞⠥
⠏⠐⠁⠗⠅⠥⠂⠀⠙⠐⠊⠏⠇⠁⠀⠎⠞⠁⠀⠅⠑⠝⠞⠗⠊⠅⠐⠁⠀
⠛⠗⠁⠋⠑⠐⠊⠁⠀⠞⠜⠎⠀⠙⠊⠑⠐⠽⠹⠽⠝⠎⠜⠎⠀⠎⠞⠜⠝
⠏⠐⠕⠇⠜⠀⠞⠥⠀⠃⠇⠁⠛⠕⠑⠧⠛⠗⠁⠙⠲⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠍⠑⠀⠃⠐⠁⠎⠩⠀⠞⠁⠀⠱⠗⠐⠜⠍⠁⠞⠁⠀⠞⠜⠎⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠉⠙
⠁⠏⠕⠇⠕⠛⠊⠎⠞⠊⠅⠐⠜⠎⠀⠑⠏⠊⠹⠑⠐⠚⠗⠜⠎⠜⠎⠂⠀
⠅⠗⠐⠊⠝⠑⠞⠣⠀⠐⠕⠞⠊⠀⠜⠀⠝⠐⠑⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠏⠁⠗⠥⠎⠊⠐⠁⠵⠩⠀⠞⠁⠀⠑⠭⠐⠜⠎
⠹⠑⠞⠊⠅⠐⠁⠀⠎⠞⠪⠓⠑⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠎⠽⠝⠕⠏⠞⠊⠅⠐⠁⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠑⠐⠊⠝⠣⠀⠑⠐⠽⠅⠕⠇⠜⠀⠎⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠐⠕⠎⠃⠁⠎⠜⠂⠀⠙⠑⠙⠕⠍⠐⠑⠝⠥⠀⠭⠑⠅⠊⠝⠐⠁⠀
⠁⠏⠐⠕⠀⠽⠋⠊⠎⠞⠐⠁⠍⠑⠝⠜⠀⠹⠐⠑⠎⠜⠀⠀⠀⠀⠀⠀⠀
⠏⠁⠗⠁⠞⠐⠜⠗⠜⠎⠜⠎⠀⠏⠞⠜⠝⠐⠚⠝⠀⠀⠍⠑⠀⠀⠀⠀⠀
⠅⠊⠐⠕⠎⠅⠊⠁⠂⠀⠞⠗⠁⠏⠑⠵⠕⠏⠐⠁⠛⠅⠥⠎⠀⠛⠊⠁⠀
⠏⠊⠉⠝⠊⠉⠂⠀⠓⠜⠍⠊⠅⠐⠜⠀⠞⠥⠁⠇⠐⠑⠞⠁⠂⠀⠀⠀⠀
⠅⠲⠇⠏⠲⠀⠀⠏⠥⠀⠃⠗⠐⠊⠎⠅⠑⠞⠣⠀⠎⠞⠊⠎⠀⠀⠀⠀⠀
⠏⠁⠗⠽⠋⠐⠑⠎⠀⠞⠥⠀⠋⠽⠎⠊⠅⠕⠐⠽⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠁⠋⠽⠛⠐⠊⠥⠀⠞⠜⠎⠀⠏⠁⠗⠁⠝⠛⠁⠇⠊⠞⠎⠁⠂⠀
⠍⠐⠕⠇⠊⠎⠀⠼⠑⠚⠚⠀⠍⠲⠀⠍⠑⠞⠐⠁⠀⠞⠕⠀⠀⠀⠀⠀⠀
⠅⠁⠗⠞⠁⠇⠁⠀⠎⠅⠊⠀⠗⠑⠎⠕⠗⠞⠂⠀⠹⠐⠑⠎⠜⠀⠜⠀⠀
⠕⠏⠕⠐⠊⠁⠀⠑⠐⠊⠝⠣⠀⠛⠝⠚⠎⠞⠐⠜⠀⠎⠞⠥⠎⠀⠀⠀⠀
⠝⠞⠐⠕⠏⠊⠥⠎⠂⠀⠙⠊⠁⠹⠐⠑⠞⠩⠀⠓⠐⠚⠗⠕⠀⠍⠑⠀⠀
⠹⠐⠑⠎⠩⠎⠀⠎⠞⠐⠁⠹⠍⠱⠎⠜⠎⠂⠀⠙⠊⠁⠹⠐⠑⠞⠩⠀⠀
⠗⠐⠁⠍⠏⠁⠀⠏⠗⠐⠕⠎⠃⠁⠎⠜⠎⠀⠎⠞⠕⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠁⠍⠕⠗⠋⠚⠍⠐⠑⠝⠪⠀⠍⠕⠝⠕⠏⠐⠁⠞⠊⠂⠀⠅⠣⠀⠀
⠋⠊⠇⠕⠭⠑⠝⠑⠐⠊⠀⠏⠑⠗⠊⠎⠞⠁⠎⠊⠁⠅⠐⠁⠀⠀⠀⠀⠀
⠑⠏⠊⠎⠅⠐⠑⠯⠩⠎⠂⠀⠭⠑⠝⠁⠛⠐⠜⠎⠩⠎⠂⠀⠀⠀⠀⠀⠀
⠕⠗⠛⠁⠝⠚⠍⠐⠑⠝⠑⠎⠀⠕⠍⠁⠙⠊⠅⠐⠑⠎⠀⠀⠀⠀⠀⠀⠀
⠏⠁⠗⠁⠞⠜⠗⠐⠜⠎⠩⠎⠀⠏⠞⠜⠝⠐⠚⠝⠀⠅⠣⠀⠀⠀⠀⠀⠀
⠑⠅⠏⠣⠙⠱⠞⠊⠅⠐⠑⠎⠀⠙⠗⠁⠎⠞⠜⠗⠊⠐⠕⠞⠜⠞⠑⠎⠀
⠁⠏⠐⠕⠀⠞⠕⠀⠏⠗⠕⠎⠚⠏⠊⠅⠐⠕⠀⠞⠜⠎⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠑⠐⠽⠹⠽⠝⠎⠜⠎⠀⠞⠥⠀⠏⠐⠁⠗⠅⠥⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠉⠑
⠁⠝⠐⠁⠇⠕⠛⠁⠀⠍⠑⠀⠞⠜⠀⠙⠊⠁⠹⠑⠎⠊⠍⠐⠕⠞⠜⠞⠁
⠅⠣⠀⠞⠊⠎⠀⠎⠽⠝⠹⠐⠜⠅⠑⠎⠀⠞⠥⠀⠅⠣⠗⠕⠐⠽⠲⠀⠀
⠀⠀⠀⠀⠏⠁⠗⠥⠎⠊⠐⠁⠵⠩⠀⠊⠙⠊⠁⠐⠊⠞⠑⠗⠕⠀⠀⠀⠀
⠪⠅⠕⠇⠕⠛⠊⠅⠐⠕⠀⠑⠝⠙⠊⠁⠋⠐⠑⠗⠕⠝⠂⠀⠁⠋⠕⠐⠽
⠏⠗⠐⠕⠅⠩⠞⠣⠀⠛⠊⠁⠀⠋⠽⠎⠊⠅⠐⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠁⠋⠐⠽⠛⠊⠕⠀⠑⠝⠙⠜⠍⠊⠅⠐⠚⠝⠀⠏⠞⠜⠝⠐⠚⠝
⠅⠣⠀⠵⠐⠚⠚⠝⠀⠎⠑⠀⠐⠑⠝⠁⠀⠏⠑⠗⠊⠃⠐⠁⠇⠇⠕⠝⠀
⠁⠏⠁⠗⠐⠁⠍⠊⠇⠇⠐⠜⠎⠀⠕⠍⠕⠗⠋⠊⠐⠁⠎⠀⠎⠞⠊⠎⠀
⠏⠁⠗⠽⠋⠐⠑⠎⠀⠞⠜⠎⠀⠡⠎⠞⠜⠗⠐⠚⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠎⠞⠁⠞⠱⠐⠕⠍⠑⠝⠜⠎⠀⠏⠑⠗⠊⠕⠓⠐⠜⠎⠲⠀⠀⠀
⠀⠀⠀⠀⠜⠀⠑⠐⠊⠎⠕⠙⠕⠎⠀⠎⠞⠕⠀⠍⠕⠝⠕⠏⠐⠁⠞⠊⠀
⠐⠑⠓⠩⠀⠑⠇⠑⠐⠽⠹⠑⠗⠕⠀⠓⠐⠚⠗⠕⠀⠛⠊⠁⠀⠀⠀⠀⠀
⠁⠏⠕⠃⠐⠊⠃⠁⠎⠜⠂⠀⠏⠲⠓⠲⠂⠀⠁⠞⠐⠕⠍⠚⠝⠀⠍⠑⠀
⠁⠝⠁⠏⠜⠗⠊⠅⠐⠕⠀⠁⠍⠁⠭⠐⠊⠙⠊⠕⠂⠀⠁⠏⠐⠕⠀⠀⠀
⠊⠲⠓⠲⠀⠐⠜⠀⠍⠊⠅⠗⠐⠕⠀⠃⠁⠝⠂⠀⠅⠣⠀⠀⠀⠀⠀⠀⠀
⠽⠏⠐⠁⠗⠓⠩⠀⠩⠙⠊⠅⠐⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠇⠁⠞⠋⠐⠕⠗⠍⠁⠀⠛⠐⠑⠋⠽⠗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠁⠎⠅⠱⠁⠎⠍⠐⠑⠝⠜⠀⠁⠏⠐⠕⠀⠭⠐⠽⠇⠕⠂⠀⠜⠀
⠕⠏⠕⠐⠊⠁⠀⠋⠐⠑⠗⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠇⠜⠗⠕⠋⠕⠗⠊⠁⠅⠐⠜⠀⠑⠝⠜⠍⠑⠗⠚⠞⠊⠅⠐⠜⠀⠀⠀
⠎⠐⠜⠍⠁⠝⠎⠜⠀⠛⠊⠁⠀⠞⠕⠀⠏⠐⠁⠗⠅⠕⠂⠀⠎⠞⠁⠀⠀
⠃⠥⠇⠛⠁⠗⠊⠅⠐⠁⠂⠀⠎⠞⠁⠀⠁⠛⠛⠇⠊⠅⠐⠁⠀⠅⠣⠀⠀
⠎⠑⠀⠃⠗⠁⠊⠇⠇⠑⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠑⠐⠊⠝⠣⠀⠑⠏⠐⠊⠀⠞⠜⠎⠀⠥⠎⠐⠊⠁⠎⠀⠀⠀⠀
⠅⠽⠅⠇⠊⠅⠐⠜⠂⠀⠛⠑⠛⠕⠝⠐⠕⠎⠀⠏⠥⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠱⠅⠕⠇⠐⠽⠝⠩⠀⠞⠜⠝⠀⠁⠏⠕⠃⠐⠊⠃⠁⠎⠜⠀⠀⠀⠀
⠑⠏⠊⠃⠐⠊⠃⠁⠎⠜⠀⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠍⠑⠀⠀⠀⠀
⠍⠩⠚⠍⠐⠑⠝⠜⠀⠅⠊⠝⠜⠞⠊⠅⠐⠕⠞⠜⠞⠁⠀⠁⠏⠐⠕⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠉⠋
⠞⠕⠀⠐⠊⠙⠊⠕⠀⠎⠜⠍⠑⠐⠊⠕⠂⠀⠓⠚⠗⠐⠊⠎⠀⠝⠁⠀⠀
⠁⠏⠣⠞⠑⠐⠊⠞⠣⠀⠝⠁⠀⠍⠑⠞⠁⠅⠊⠝⠜⠹⠑⠐⠊⠀⠞⠕⠀
⠐⠕⠓⠜⠍⠁⠀⠍⠑⠞⠁⠋⠕⠗⠐⠁⠎⠀⠞⠥⠎⠀⠎⠑⠀⠀⠀⠀⠀
⠐⠁⠇⠇⠕⠀⠎⠜⠍⠑⠐⠊⠕⠀⠛⠊⠁⠀⠝⠁⠀⠞⠥⠎⠀⠀⠀⠀⠀
⠏⠁⠗⠁⠇⠐⠁⠃⠩⠀⠍⠑⠞⠐⠁⠀⠞⠜⠀⠇⠐⠜⠭⠜⠀⠞⠥⠀⠀
⠏⠑⠗⠐⠊⠏⠁⠞⠕⠐⠽⠀⠞⠥⠎⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠑⠐⠊⠝⠣⠀⠎⠓⠑⠞⠊⠅⠐⠁⠀⠎⠐⠽⠝⠞⠕⠍⠜⠂⠀
⠛⠑⠛⠕⠝⠐⠕⠎⠀⠏⠥⠀⠹⠁⠀⠁⠝⠁⠍⠐⠑⠝⠑⠞⠣⠀⠝⠁⠀
⠑⠭⠽⠏⠜⠗⠑⠞⠑⠐⠊⠀⠙⠊⠐⠁⠋⠕⠗⠑⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠜⠛⠕⠗⠐⠊⠑⠎⠀⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠍⠑⠀⠀⠀
⠍⠩⠚⠍⠐⠑⠝⠜⠀⠅⠊⠝⠜⠞⠊⠅⠐⠕⠞⠜⠞⠁⠲⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠐⠑⠓⠩⠀⠍⠊⠅⠗⠐⠑⠎⠀⠅⠇⠐⠊⠎⠩⠎⠂⠀⠀⠀⠀
⠎⠓⠑⠞⠊⠅⠐⠁⠀⠕⠍⠁⠇⠐⠜⠀⠑⠏⠊⠋⠐⠁⠝⠊⠁⠀⠀⠀⠀
⠅⠐⠊⠝⠜⠎⠜⠎⠂⠀⠀⠚⠎⠀⠑⠏⠐⠊⠀⠞⠚⠝⠀⠀⠀⠀⠀⠀⠀
⠏⠇⠑⠐⠊⠎⠞⠚⠝⠀⠎⠅⠇⠜⠗⠐⠜⠀⠅⠣⠀⠎⠞⠐⠑⠗⠑⠁⠂
⠓⠚⠗⠐⠊⠎⠀⠎⠞⠑⠝⠐⠁⠀⠐⠜⠀⠊⠙⠊⠁⠐⠊⠞⠑⠗⠁⠀⠀
⠑⠏⠊⠅⠐⠊⠝⠙⠽⠝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠑⠗⠐⠁⠎⠍⠁⠞⠁⠀⠎⠜⠍⠑⠐⠊⠁⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠙⠜⠍⠊⠥⠗⠛⠑⠐⠊⠀⠐⠑⠝⠁⠝⠀⠁⠎⠋⠁⠇⠐⠜⠀
⠀⠙⠊⠐⠁⠙⠗⠕⠍⠕⠀⠀⠅⠐⠊⠝⠜⠎⠜⠎⠀⠕⠀⠀⠀⠀⠀⠀⠀
⠕⠏⠕⠐⠊⠕⠎⠀⠑⠐⠊⠝⠣⠀⠑⠇⠑⠐⠽⠹⠑⠗⠕⠎⠀⠁⠏⠐⠕
⠑⠍⠏⠐⠕⠙⠊⠁⠀⠞⠐⠕⠎⠕⠀⠎⠑⠀⠏⠇⠐⠁⠞⠕⠎⠀⠀⠀⠀
⠀⠞⠥⠇⠐⠁⠓⠊⠎⠞⠕⠝⠀⠼⠁⠂⠑⠍⠲⠂⠀⠛⠑⠛⠕⠝⠐⠕⠎
⠏⠥⠀⠑⠏⠊⠞⠗⠐⠑⠏⠩⠀⠞⠜⠝⠀⠏⠑⠗⠊⠎⠞⠗⠕⠋⠐⠜⠀
⠓⠗⠜⠎⠞⠐⠚⠝⠀⠁⠝⠁⠏⠜⠗⠊⠅⠐⠚⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠍⠁⠭⠊⠙⠐⠊⠚⠝⠀⠀⠐⠕⠎⠕⠀⠅⠣⠀⠅⠁⠞⠐⠁⠀⠀⠀⠀
⠐⠽⠯⠕⠎⠀⠀⠞⠥⠇⠐⠁⠓⠊⠎⠞⠕⠝⠀⠼⠃⠂⠉⠍⠲⠀⠀⠀⠀
⠅⠁⠹⠁⠗⠐⠕⠀⠁⠏⠐⠕⠀⠙⠐⠑⠝⠞⠗⠁⠀⠅⠣⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠉⠛
⠅⠇⠁⠙⠊⠐⠁⠀⠀⠅⠣⠀⠕⠀⠕⠏⠕⠐⠊⠕⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠎⠞⠁⠞⠑⠐⠽⠑⠞⠣⠀⠍⠑⠀⠭⠐⠽⠇⠊⠝⠕⠀⠀⠀⠀⠀
⠅⠊⠛⠅⠇⠐⠊⠙⠚⠍⠁⠀⠅⠣⠀⠁⠏⠐⠕⠀⠞⠜⠝⠀⠍⠊⠁⠀⠀
⠞⠥⠀⠏⠇⠱⠗⠐⠁⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠽⠏⠐⠁⠗⠓⠩⠀⠞⠐⠕⠎⠕⠀⠎⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀
⠁⠋⠑⠞⠜⠗⠐⠊⠁⠀⠐⠕⠎⠕⠀⠅⠣⠀⠅⠁⠞⠐⠁⠀⠀⠀⠀⠀⠀
⠍⠐⠜⠅⠕⠎⠀⠞⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠐⠜⠍⠁⠝⠎⠜⠀⠏⠗⠕⠎⠁⠝⠁⠞⠕⠇⠊⠎⠍⠕⠐⠽⠀⠅⠣⠀
⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠎⠀⠛⠊⠁⠀⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠹⠕⠙⠐⠜⠛⠜⠎⠜⠀⠞⠚⠝⠀⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠀
⠅⠣⠀⠛⠊⠁⠀⠞⠜⠝⠀⠑⠝⠜⠍⠐⠑⠗⠚⠎⠐⠜⠀⠞⠥⠎⠀⠀⠀
⠎⠓⠑⠞⠊⠅⠐⠁⠀⠍⠑⠀⠞⠁⠀⠎⠜⠍⠑⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀
⠑⠝⠙⠊⠁⠋⠐⠑⠗⠕⠝⠞⠕⠎⠀⠅⠣⠀⠞⠊⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠱⠅⠕⠇⠐⠽⠝⠎⠩⠎⠀⠏⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠑⠗⠊⠇⠁⠍⠃⠐⠁⠝⠕⠝⠞⠣⠀⠎⠑⠀⠡⠞⠐⠑⠎⠲⠀⠀⠀⠀
⠀⠀⠀⠀⠞⠁⠀⠅⠊⠛⠅⠇⠊⠙⠐⠚⠍⠁⠞⠁⠀⠏⠥⠀⠀⠀⠀⠀⠀
⠽⠏⠐⠁⠗⠓⠥⠝⠀⠎⠑⠀⠐⠕⠇⠕⠀⠞⠕⠀⠍⠐⠜⠅⠕⠎⠀⠀⠀
⠞⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠀⠎⠞⠜⠀⠍⠐⠊⠁⠀⠀⠀⠀⠀⠀
⠏⠇⠱⠗⠐⠁⠀⠞⠥⠀⠍⠕⠝⠕⠏⠁⠞⠊⠕⠐⠽⠂⠀⠑⠐⠊⠝⠣⠀
⠞⠕⠏⠕⠹⠑⠞⠜⠍⠐⠑⠝⠁⠀⠎⠑⠀⠐⠽⠯⠕⠎⠀⠼⠊⠚⠀⠊⠑
⠑⠅⠲⠂⠀⠐⠚⠎⠞⠑⠀⠝⠁⠀⠇⠩⠞⠥⠗⠛⠕⠐⠽⠝⠀⠅⠣⠀⠀
⠚⠎⠀⠀⠁⠀⠀⠓⠩⠗⠕⠇⠊⠎⠹⠐⠜⠗⠁⠎⠀⠕⠙⠜⠛⠐⠕⠎⠀
⠛⠊⠁⠀⠞⠽⠋⠇⠐⠁⠀⠐⠁⠞⠕⠍⠁⠂⠀⠅⠣⠀⠀⠃⠀⠀⠀⠀⠀
⠃⠕⠜⠹⠜⠞⠊⠅⠐⠜⠀⠓⠩⠗⠕⠇⠁⠃⠐⠜⠀⠛⠊⠁⠀⠀⠀⠀⠀
⠐⠁⠞⠕⠍⠁⠀⠍⠑⠀⠏⠑⠗⠊⠕⠗⠊⠎⠍⠐⠑⠝⠜⠀⠀⠀⠀⠀⠀
⠐⠕⠗⠁⠎⠜⠀⠅⠣⠀⠐⠁⠞⠕⠍⠁⠀⠍⠑⠀⠍⠩⠚⠍⠐⠑⠝⠜⠀
⠅⠊⠝⠜⠞⠊⠅⠐⠕⠞⠜⠞⠁⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠞⠁⠀⠅⠊⠛⠅⠇⠊⠙⠐⠚⠍⠁⠞⠁⠀⠏⠥⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠉⠓
⠽⠏⠐⠁⠗⠓⠥⠝⠀⠎⠑⠀⠐⠕⠇⠕⠀⠞⠕⠀⠍⠐⠜⠅⠕⠎⠀⠀⠀
⠞⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠀⠎⠞⠜⠀⠍⠐⠊⠁⠀⠀⠀⠀⠀⠀
⠏⠇⠱⠗⠐⠁⠀⠞⠥⠀⠍⠕⠝⠕⠏⠁⠞⠊⠕⠐⠽⠂⠀⠐⠑⠓⠥⠝⠀
⠅⠁⠞⠐⠁⠇⠇⠜⠇⠜⠀⠑⠏⠑⠭⠑⠗⠛⠁⠎⠐⠊⠁⠀⠞⠚⠝⠀⠀
⠓⠩⠗⠕⠇⠊⠎⠹⠐⠜⠗⠚⠝⠀⠀⠏⠐⠁⠝⠚⠀⠍⠐⠑⠗⠕⠎⠀⠀
⠞⠚⠝⠀⠅⠊⠛⠅⠇⠊⠙⠚⠍⠐⠁⠞⠚⠝⠀⠒⠀⠀⠁⠀⠀⠀⠀⠀⠀
⠐⠚⠎⠞⠑⠀⠝⠁⠀⠍⠜⠝⠀⠑⠐⠊⠝⠣⠀⠁⠙⠗⠐⠑⠎⠀⠀⠝⠁
⠍⠜⠝⠀⠐⠑⠓⠥⠝⠀⠁⠅⠐⠊⠙⠑⠎⠂⠀⠅⠲⠇⠏⠲⠀⠏⠥⠀⠀
⠍⠏⠕⠗⠑⠐⠊⠀⠝⠁⠀⠑⠏⠊⠋⠐⠑⠗⠥⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠞⠗⠡⠍⠁⠞⠊⠎⠍⠐⠕⠀⠀⠅⠣⠀⠀⠃⠀⠀⠋⠐⠑⠗⠥⠝⠀⠀⠀
⠩⠙⠕⠏⠪⠐⠜⠎⠩⠎⠀⠎⠑⠀⠍⠕⠗⠋⠐⠜⠀⠃⠗⠁⠊⠇⠇⠑⠀
⠀⠑⠞⠊⠅⠐⠑⠞⠑⠎⠀⠀⠛⠊⠁⠀⠁⠇⠇⠁⠛⠐⠑⠎⠀⠀⠀⠀⠀
⠙⠊⠑⠐⠽⠹⠽⠝⠎⠜⠎⠀⠅⠣⠀⠛⠊⠁⠀⠞⠕⠝⠀⠀⠀⠀⠀⠀⠀
⠑⠝⠞⠕⠏⠊⠎⠍⠐⠕⠀⠓⠁⠗⠁⠅⠞⠜⠗⠊⠎⠞⠊⠅⠐⠚⠝⠀⠀
⠏⠥⠀⠑⠝⠙⠊⠁⠋⠐⠑⠗⠥⠝⠀⠞⠕⠝⠀⠑⠏⠊⠎⠅⠐⠑⠏⠞⠜
⠀⠏⠲⠓⠲⠂⠀⠏⠇⠜⠗⠕⠋⠕⠗⠊⠁⠅⠐⠑⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠊⠝⠁⠅⠐⠊⠙⠑⠎⠂⠀⠎⠜⠍⠑⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠝⠐⠁⠏⠡⠇⠁⠎⠂⠀⠅⠲⠇⠏⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠽⠏⠐⠁⠗⠓⠩⠀⠁⠏⠞⠊⠅⠐⠜⠀⠎⠐⠜⠍⠁⠝⠎⠜⠀
⠀⠎⠑⠀⠃⠗⠁⠊⠇⠇⠑⠀⠀⠎⠞⠕⠀⠽⠋⠊⠎⠞⠐⠁⠍⠑⠝⠕⠀
⠎⠐⠽⠎⠞⠜⠍⠁⠀⠎⠐⠜⠍⠁⠝⠎⠜⠎⠂⠀⠐⠚⠎⠞⠑⠀⠪⠀⠀
⠏⠇⠜⠗⠕⠋⠕⠗⠐⠊⠑⠎⠀⠏⠥⠀⠙⠊⠁⠞⠐⠊⠹⠑⠝⠞⠣⠀⠀
⠀⠑⠝⠜⠍⠑⠗⠚⠞⠊⠅⠐⠑⠎⠀⠏⠇⠜⠗⠕⠋⠕⠗⠐⠊⠑⠎⠀⠀
⠝⠁⠀⠑⠐⠊⠝⠣⠀⠏⠗⠕⠎⠃⠐⠁⠎⠊⠍⠑⠎⠀⠅⠣⠀⠎⠑⠀⠀
⠞⠽⠋⠇⠐⠁⠀⠐⠁⠞⠕⠍⠁⠀⠐⠁⠞⠕⠍⠁⠀⠍⠑⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠃⠇⠐⠜⠍⠁⠞⠁⠀⠐⠕⠗⠁⠎⠜⠎⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠜⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠏⠑⠗⠊⠇⠁⠍⠃⠐⠁⠝⠩⠀
⠁⠝⠐⠁⠀⠞⠁⠅⠞⠐⠁⠀⠙⠊⠁⠎⠞⠐⠜⠍⠁⠞⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠉⠊
⠎⠜⠍⠑⠐⠊⠁⠀⠁⠝⠐⠁⠏⠡⠇⠁⠎⠀⠀⠁⠝⠐⠁⠏⠡⠎⠜⠎⠀
⠀⠐⠑⠭⠊⠀⠎⠞⠕⠀⠎⠐⠽⠝⠕⠇⠕⠂⠀⠁⠝⠐⠁⠀⠼⠉⠑⠀⠀
⠙⠚⠀⠍⠲⠀⠂⠀⠍⠑⠀⠭⠐⠽⠇⠊⠝⠁⠀⠅⠁⠹⠐⠊⠎⠍⠁⠞⠁
⠅⠣⠀⠑⠏⠊⠏⠇⠐⠑⠕⠝⠀⠓⠐⠚⠗⠕⠀⠎⠞⠊⠎⠀⠀⠀⠀⠀⠀
⠏⠇⠱⠗⠐⠑⠎⠀⠛⠊⠁⠀⠎⠞⠐⠁⠎⠜⠀⠍⠑⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠝⠁⠏⠜⠗⠊⠅⠐⠕⠀⠁⠍⠁⠭⠐⠊⠙⠊⠕⠲⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠍⠑⠞⠐⠁⠀⠞⠁⠀⠼⠃⠚⠚⠀⠏⠗⠐⠚⠞⠁⠀⠀⠀⠀⠀
⠍⠐⠑⠞⠗⠁⠀⠞⠁⠀⠕⠏⠕⠐⠊⠁⠀⠐⠑⠓⠥⠝⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠁⠍⠕⠗⠋⠚⠹⠑⠐⠊⠀⠛⠊⠁⠀⠞⠊⠎⠀⠁⠝⠐⠁⠛⠅⠑⠎
⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠍⠑⠀⠁⠝⠁⠏⠜⠗⠐⠊⠁⠂⠀⠀⠀⠀
⠎⠽⠝⠑⠓⠐⠊⠵⠩⠀⠞⠕⠀⠏⠁⠇⠊⠐⠕⠀⠍⠕⠝⠕⠏⠐⠁⠞⠊
⠛⠊⠁⠀⠑⠏⠊⠏⠇⠐⠑⠕⠝⠀⠼⠁⠑⠚⠀⠃⠚⠚⠀⠍⠲⠀⠎⠑⠀
⠎⠜⠍⠑⠐⠊⠕⠀⠏⠥⠀⠞⠕⠀⠍⠕⠝⠕⠏⠐⠁⠞⠊⠀⠀⠀⠀⠀⠀
⠎⠽⠝⠁⠝⠞⠐⠁⠀⠞⠕⠀⠏⠕⠞⠐⠁⠍⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠛⠐⠑⠋⠽⠗⠑⠎⠀⠂⠀⠓⠚⠗⠐⠊⠎⠀⠝⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠍⠑⠎⠕⠇⠁⠃⠕⠐⠽⠝⠀⠊⠙⠊⠁⠐⠊⠞⠑⠗⠁⠀⠀⠀⠀⠀⠀⠀
⠑⠍⠏⠐⠕⠙⠊⠁⠂⠀⠏⠕⠇⠐⠽⠀⠍⠑⠛⠐⠁⠇⠑⠎⠀⠀⠀⠀⠀
⠅⠇⠐⠊⠎⠜⠎⠀⠐⠜⠀⠁⠏⠐⠕⠞⠕⠍⠁⠀⠎⠞⠑⠝⠐⠁⠀⠀⠀
⠏⠑⠗⠐⠁⠎⠍⠁⠞⠁⠂⠀⠁⠇⠇⠐⠁⠀⠍⠑⠀⠎⠁⠋⠐⠚⠎⠀⠀
⠏⠑⠗⠊⠎⠎⠐⠕⠞⠑⠗⠑⠎⠀⠁⠝⠚⠍⠁⠇⠐⠊⠑⠎⠀⠑⠏⠐⠊
⠑⠙⠐⠁⠋⠥⠎⠀⠅⠣⠀⠓⠚⠗⠐⠊⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠊⠛⠅⠇⠐⠊⠙⠚⠍⠁⠀⠕⠙⠜⠛⠐⠕⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠎⠞⠜⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠑⠏⠊⠞⠗⠐⠑⠏⠑⠞⠣
⠜⠀⠑⠏⠐⠊⠎⠅⠑⠯⠜⠀⠍⠑⠀⠎⠅⠐⠽⠇⠥⠎⠀⠀⠀⠀⠀⠀⠀
⠕⠙⠜⠛⠕⠐⠽⠎⠀⠐⠜⠀⠅⠣⠀⠎⠅⠐⠽⠇⠥⠎⠀⠀⠀⠀⠀⠀⠀
⠃⠕⠜⠹⠕⠐⠽⠎⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠜⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠑⠐⠊⠝⠣⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠎⠅⠐⠑⠯⠊⠍⠜⠀⠐⠕⠇⠕⠀⠞⠕⠝⠀⠓⠗⠐⠕⠝⠕⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠙⠚
⠅⠣⠀⠅⠁⠞⠐⠁⠇⠇⠜⠇⠜⠀⠏⠗⠕⠎⠀⠑⠏⠐⠊⠎⠅⠑⠯⠜⠀
⠞⠊⠎⠀⠏⠑⠗⠊⠎⠎⠐⠕⠞⠑⠗⠑⠎⠀⠐⠚⠗⠑⠎⠀⠞⠜⠎⠀⠀
⠜⠍⠐⠑⠗⠁⠎⠂⠀⠑⠋⠐⠕⠎⠕⠝⠀⠋⠽⠎⠊⠅⠐⠁⠀⠞⠕⠀⠀
⠑⠏⠊⠞⠗⠐⠑⠏⠥⠝⠀⠪⠀⠅⠣⠗⠊⠅⠐⠑⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠽⠝⠹⠐⠜⠅⠑⠎⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠞⠕⠀⠽⠇⠊⠅⠐⠕⠀⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠎⠀⠀
⠏⠥⠀⠙⠊⠁⠞⠐⠊⠹⠑⠞⠣⠀⠎⠞⠥⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠎⠅⠐⠑⠏⠞⠑⠎⠀⠞⠥⠀⠅⠐⠑⠝⠞⠗⠥⠀⠀⠀⠀⠀⠀⠀
⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠎⠀⠑⠐⠊⠝⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠁⠹⠐⠑⠎⠊⠍⠕⠀⠅⠣⠀⠎⠑⠀⠐⠑⠝⠞⠽⠏⠜⠀⠀⠀⠀⠀
⠍⠕⠗⠋⠐⠜⠀⠃⠗⠁⠊⠇⠇⠑⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠁⠏⠐⠕⠀⠞⠜⠝⠀⠐⠁⠇⠇⠜⠂⠀⠍⠑⠀⠃⠐⠁⠎⠩⠀⠞⠁
⠱⠗⠐⠜⠍⠁⠞⠁⠀⠞⠜⠎⠀⠁⠏⠕⠇⠕⠛⠊⠎⠞⠊⠅⠐⠜⠎⠀⠀
⠑⠏⠊⠹⠑⠐⠚⠗⠜⠎⠜⠎⠂⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠐⠕⠞⠊⠀⠜
⠝⠐⠑⠁⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠏⠁⠗⠥⠎⠊⠐⠁⠵⠩⠀⠞⠁⠀
⠑⠭⠐⠜⠎⠀⠎⠞⠪⠓⠑⠐⠊⠁⠀⠏⠥⠀⠓⠗⠐⠊⠵⠥⠝⠀⠀⠀⠀
⠁⠝⠞⠊⠍⠑⠞⠐⠚⠏⠊⠎⠜⠎⠂⠀⠃⠑⠇⠞⠐⠊⠚⠎⠜⠎⠀⠐⠜
⠅⠣⠀⠛⠑⠝⠊⠅⠐⠕⠞⠑⠗⠁⠀⠏⠗⠕⠎⠕⠓⠐⠜⠎⠀⠀⠀⠀⠀
⠀⠎⠽⠝⠕⠏⠞⠊⠅⠐⠁⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠁⠏⠁⠗⠁⠐⠊⠞⠜⠞⠜⠀⠜⠀⠀⠀
⠙⠊⠁⠍⠐⠕⠗⠋⠚⠎⠜⠀⠎⠜⠍⠑⠐⠊⠚⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠞⠐⠁⠹⠍⠱⠎⠜⠎⠀⠀⠏⠁⠗⠅⠊⠝⠛⠀⠀⠎⠞⠕⠀⠀⠀⠀⠀
⠎⠜⠍⠑⠐⠊⠕⠀⠐⠁⠋⠊⠭⠜⠎⠂⠀⠍⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠐⠁⠇⠇⠜⠇⠑⠎⠀⠏⠗⠕⠙⠊⠁⠛⠗⠁⠋⠐⠑⠎⠀⠛⠊⠁
⠕⠓⠐⠜⠍⠁⠞⠁⠀⠁⠍⠑⠁⠀⠎⠐⠽⠍⠋⠚⠝⠁⠀⠍⠑⠀⠞⠊⠎
⠑⠹⠝⠊⠅⠐⠑⠎⠀⠏⠗⠕⠙⠊⠁⠛⠗⠁⠋⠐⠑⠎⠲⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠎⠜⠍⠁⠝⠞⠊⠅⠐⠜⠀⠜⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠙⠁
⠙⠊⠁⠍⠐⠕⠗⠋⠚⠎⠜⠀⠞⠚⠝⠀⠽⠋⠊⠎⠞⠐⠁⠍⠑⠝⠚⠝⠀
⠽⠏⠕⠙⠕⠍⠐⠚⠝⠀⠎⠞⠕⠀⠎⠜⠍⠑⠐⠊⠕⠀⠐⠁⠋⠊⠭⠜⠎
⠀⠅⠊⠐⠕⠎⠅⠊⠁⠂⠀⠺⠉⠂⠀⠞⠗⠁⠏⠑⠵⠕⠏⠐⠁⠛⠅⠪⠂
⠐⠑⠙⠁⠋⠕⠎⠀⠅⠐⠊⠝⠜⠎⠜⠎⠂⠀⠅⠲⠇⠏⠲⠀⠂⠀⠍⠑⠀
⠅⠁⠞⠐⠁⠇⠇⠜⠇⠑⠎⠀⠏⠗⠕⠙⠊⠁⠛⠗⠁⠋⠐⠑⠎⠀⠛⠊⠁
⠑⠏⠊⠎⠅⠐⠑⠏⠞⠑⠎⠀⠍⠑⠀⠁⠝⠁⠏⠜⠗⠐⠊⠁⠂⠀⠀⠀⠀
⠎⠐⠽⠍⠋⠚⠝⠁⠀⠍⠑⠀⠞⠊⠎⠀⠑⠹⠝⠊⠅⠐⠑⠎⠀⠀⠀⠀⠀
⠏⠗⠕⠙⠊⠁⠛⠗⠁⠋⠐⠑⠎⠀⠅⠣⠀⠙⠊⠑⠹⠝⠑⠐⠊⠎⠀⠀⠀
⠅⠁⠇⠐⠑⠎⠀⠏⠗⠁⠅⠞⠊⠅⠐⠑⠎⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠁⠏⠁⠗⠁⠐⠊⠞⠜⠞⠜⠀⠜⠀⠀⠀
⠙⠊⠁⠍⠐⠕⠗⠋⠚⠎⠜⠀⠏⠗⠕⠎⠃⠐⠁⠎⠊⠍⠜⠎⠀⠀⠀⠀⠀
⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠀⠏⠥⠀⠝⠁⠀⠎⠽⠝⠙⠐⠑⠩⠀⠞⠕⠀⠀
⠎⠜⠍⠑⠐⠊⠕⠀⠹⠐⠑⠁⠎⠜⠎⠀⠏⠁⠗⠁⠞⠐⠜⠗⠜⠎⠜⠎⠀
⠏⠞⠜⠝⠐⠚⠝⠀⠍⠑⠀⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠋⠑⠞⠜⠗⠐⠊⠁⠀⠇⠐⠜⠭⠜⠀⠞⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠎⠃⠐⠁⠎⠊⠍⠥⠀⠍⠕⠝⠕⠏⠁⠞⠊⠕⠐⠽⠀⠞⠜⠎⠀⠀
⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠀⠀⠏⠑⠗⠐⠊⠏⠥⠀⠼⠃⠚⠚⠍⠲⠀⠀⠀
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠑⠏⠊⠹⠽⠍⠜⠞⠐⠜⠀⠜⠀⠀⠀⠀
⠑⠝⠎⠚⠍⠐⠁⠞⠚⠎⠜⠀⠏⠑⠗⠊⠵⠐⠚⠍⠁⠞⠕⠎⠀⠀⠀⠀⠀
⠐⠽⠯⠥⠎⠀⠞⠥⠇⠐⠁⠓⠊⠎⠞⠕⠝⠀⠼⠁⠚⠀⠑⠅⠲⠀⠀⠀⠀
⠀⠏⠲⠓⠲⠂⠀⠎⠞⠕⠀⠅⠐⠁⠞⠚⠀⠍⠐⠑⠗⠕⠎⠀⠞⠚⠝⠀⠀
⠅⠊⠛⠅⠇⠊⠙⠚⠍⠐⠁⠞⠚⠝⠀⠀⠅⠁⠞⠐⠁⠀⠍⠐⠜⠅⠕⠎⠀
⠞⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠀⠛⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠱⠅⠐⠕⠇⠽⠝⠎⠜⠀⠓⠗⠜⠎⠞⠐⠚⠝⠀⠇⠱⠅⠕⠐⠽⠀⠀
⠍⠏⠁⠎⠞⠥⠝⠊⠕⠐⠽⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠎⠜⠍⠁⠝⠞⠊⠅⠐⠕⠀⠪⠀⠀⠀⠀
⠹⠐⠑⠎⠩⠎⠀⠁⠝⠐⠁⠏⠡⠇⠁⠎⠀⠝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠁⠝⠁⠏⠗⠕⠎⠙⠊⠕⠗⠊⠎⠹⠕⠐⠽⠝⠂⠀⠐⠚⠎⠞⠑⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠙⠃
⠝⠁⠀⠑⠐⠊⠝⠣⠀⠎⠑⠀⠏⠗⠕⠐⠑⠅⠞⠁⠎⠜⠀⠞⠥⠀⠀⠀⠀
⠍⠕⠝⠕⠏⠁⠞⠊⠕⠐⠽⠀⠅⠣⠀⠐⠕⠓⠊⠀⠑⠝⠞⠐⠕⠎⠀⠞⠥
⠑⠇⠐⠁⠓⠊⠎⠞⠥⠀⠁⠏⠁⠗⠁⠐⠊⠞⠜⠞⠥⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠇⠱⠹⠐⠑⠗⠥⠀⠏⠇⠐⠁⠞⠥⠎⠀⠞⠥⠲⠀⠑⠏⠐⠊⠎⠜⠎⠂
⠜⠀⠏⠁⠗⠕⠐⠽⠎⠁⠀⠹⠐⠑⠎⠜⠀⠞⠥⠎⠀⠀⠁⠏⠐⠕⠀⠀⠀
⠞⠜⠝⠀⠏⠇⠱⠗⠐⠁⠀⠏⠥⠀⠑⠐⠊⠝⠣⠀⠞⠕⠀⠀⠀⠀⠀⠀⠀
⠅⠊⠛⠅⠇⠐⠊⠙⠚⠍⠁⠀⠕⠙⠜⠛⠐⠕⠎⠀⠂⠀⠑⠏⠐⠊⠀⠀⠀
⠞⠜⠎⠀⠥⠎⠐⠊⠁⠎⠀⠙⠜⠍⠊⠥⠗⠛⠑⠐⠊⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠁⠅⠕⠏⠐⠑⠎⠀⠎⠞⠕⠀⠎⠐⠽⠎⠞⠜⠍⠁⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠹⠕⠙⠐⠜⠛⠜⠎⠜⠎⠀⠞⠽⠋⠇⠐⠚⠝⠀⠀⠏⠐⠑⠋⠞⠥⠝
⠏⠐⠁⠝⠚⠀⠎⠞⠁⠀⠏⠁⠛⠅⠐⠁⠅⠊⠁⠀⠅⠣⠀⠏⠐⠁⠝⠚⠀
⠎⠞⠥⠎⠀⠑⠏⠊⠎⠅⠐⠑⠏⠞⠑⠎⠀⠍⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠝⠙⠑⠓⠕⠍⠐⠑⠝⠚⠎⠀⠅⠐⠁⠹⠕⠝⠞⠣⠀⠎⠑⠀⠀⠀⠀⠀
⠡⠞⠐⠁⠀⠂⠀⠅⠣⠀⠎⠽⠝⠊⠎⠞⠐⠁⠞⠣⠀⠜⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠁⠝⠁⠞⠕⠏⠕⠹⠐⠑⠞⠜⠎⠐⠜⠀⠞⠥⠎⠀⠁⠏⠐⠕⠀⠀⠀
⠞⠜⠝⠀⠁⠏⠐⠑⠝⠁⠝⠞⠊⠀⠏⠇⠱⠗⠐⠁⠲⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠐⠊⠎⠜⠎⠂⠀⠞⠕⠀⠐⠽⠯⠕⠎⠀⠅⠣⠀⠞⠕⠀⠀⠀⠀⠀⠀
⠃⠐⠁⠹⠕⠎⠀⠞⠚⠝⠀⠅⠁⠹⠊⠎⠍⠐⠁⠞⠚⠝⠀⠀⠀⠀⠀⠀⠀
⠎⠽⠝⠊⠎⠞⠐⠁⠞⠣⠀⠝⠁⠀⠙⠊⠕⠗⠹⠚⠹⠑⠐⠊⠀⠀⠀⠀⠀
⠀⠑⠐⠊⠝⠣⠀⠏⠕⠇⠐⠽⠀⠓⠁⠍⠜⠇⠐⠁⠀⠅⠣⠀⠀⠀⠀⠀⠀
⠗⠜⠓⠐⠁⠀⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠎⠜⠍⠁⠝⠞⠊⠅⠐⠜⠀⠜⠀⠀⠀⠀
⠑⠝⠜⠍⠐⠑⠗⠚⠎⠜⠀⠞⠚⠝⠀⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠀⠀
⠎⠓⠑⠞⠊⠅⠐⠁⠀⠍⠑⠀⠞⠕⠀⠐⠽⠯⠕⠎⠀⠏⠥⠀⠐⠑⠓⠥⠝
⠞⠁⠀⠎⠞⠐⠑⠛⠁⠎⠞⠗⠁⠀⠞⠚⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠝⠜⠍⠑⠗⠚⠞⠊⠅⠐⠚⠝⠀⠏⠊⠝⠁⠅⠐⠊⠙⠚⠝⠀⠀⠀⠀⠀
⠅⠁⠹⠐⠕⠞⠊⠀⠏⠕⠇⠐⠽⠀⠯⠜⠇⠐⠁⠀⠐⠁⠞⠕⠍⠁⠀⠀⠀
⠍⠏⠕⠗⠑⠐⠊⠀⠝⠁⠀⠓⠞⠽⠏⠐⠜⠎⠥⠝⠀⠎⠑⠀⠡⠞⠐⠁⠲
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠙⠉
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠊⠙⠊⠁⠐⠊⠞⠑⠗⠁⠀⠀⠀⠀⠀⠀
⠎⠜⠍⠁⠝⠞⠊⠅⠐⠜⠀⠜⠀⠞⠁⠅⠞⠊⠅⠐⠜⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠽⠝⠞⠐⠜⠗⠜⠎⠜⠀⠞⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠀⠀⠀⠀
⠀⠅⠁⠹⠁⠗⠊⠐⠕⠞⠜⠞⠁⠂⠀⠅⠇⠐⠁⠙⠑⠍⠁⠂⠀⠀⠀⠀⠀
⠁⠏⠕⠍⠐⠁⠅⠗⠽⠝⠎⠜⠀⠏⠑⠎⠍⠐⠑⠝⠚⠝⠀⠀⠀⠀⠀⠀⠀
⠅⠇⠁⠙⠊⠐⠚⠝⠂⠀⠭⠑⠓⠕⠗⠞⠐⠁⠗⠊⠁⠎⠍⠁⠂⠀⠀⠀⠀
⠎⠽⠝⠞⠐⠜⠗⠜⠎⠜⠀⠞⠚⠝⠀⠭⠐⠽⠇⠊⠝⠚⠝⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠁⠎⠅⠱⠐⠚⠝⠂⠀⠅⠲⠇⠏⠲⠀⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠩⠙⠊⠅⠐⠕⠞⠑⠗⠁⠀⠁⠏⠐⠕⠀⠞⠜⠝⠀⠏⠇⠱⠗⠐⠁⠀⠞⠥
⠅⠊⠛⠅⠇⠊⠙⠐⠚⠍⠁⠞⠕⠎⠀⠏⠥⠀⠇⠩⠞⠥⠗⠛⠑⠐⠊⠀⠀
⠚⠎⠀⠕⠙⠜⠛⠐⠕⠎⠀⠹⠁⠀⠏⠗⠐⠑⠏⠩⠀⠏⠐⠁⠝⠞⠁⠀⠀
⠝⠁⠀⠙⠊⠁⠎⠋⠁⠇⠐⠊⠵⠑⠞⠣⠀⠐⠕⠞⠊⠀⠙⠑⠝⠀⠀⠀⠀
⠽⠏⠐⠁⠗⠓⠥⠝⠀⠏⠗⠕⠑⠭⠐⠑⠓⠕⠝⠞⠁⠀⠅⠇⠁⠙⠊⠐⠁
⠅⠣⠀⠓⠐⠕⠗⠞⠁⠀⠑⠏⠐⠊⠀⠞⠥⠀⠑⠙⠐⠁⠋⠥⠎⠂⠀⠀⠀
⠐⠚⠎⠞⠑⠀⠝⠁⠀⠍⠜⠝⠀⠽⠏⠐⠁⠗⠓⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠐⠊⠝⠙⠽⠝⠕⠎⠀⠞⠗⠡⠍⠁⠞⠊⠎⠍⠕⠐⠽⠲⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠑⠏⠊⠹⠽⠍⠜⠞⠐⠕⠀⠎⠞⠜⠀⠀
⠽⠋⠊⠎⠞⠐⠁⠍⠑⠝⠜⠀⠑⠝⠜⠍⠑⠗⠚⠞⠊⠅⠐⠜⠀⠀⠀⠀⠀
⠏⠇⠜⠗⠕⠋⠕⠗⠊⠁⠅⠐⠜⠀⠎⠐⠜⠍⠁⠝⠎⠜⠀⠝⠁⠀⠀⠀⠀
⠑⠝⠎⠚⠍⠁⠞⠚⠹⠕⠐⠽⠝⠀⠏⠗⠕⠃⠇⠐⠑⠯⠩⠎⠀⠛⠊⠁⠀
⠐⠁⠞⠕⠍⠁⠀⠍⠑⠀⠓⠁⠍⠜⠇⠐⠜⠀⠐⠕⠗⠁⠎⠜⠀⠅⠣⠀⠀
⠅⠚⠋⠐⠁⠀⠐⠁⠞⠕⠍⠁⠀⠀⠀⠓⠗⠐⠜⠎⠞⠑⠎⠀⠀⠀⠀⠀⠀
⠝⠕⠜⠍⠁⠞⠊⠅⠐⠜⠎⠀⠀⠪⠀⠽⠋⠊⠎⠞⠐⠁⠍⠑⠝⠑⠎⠀⠀
⠎⠽⠍⠃⠁⠞⠊⠅⠐⠑⠎⠀⠏⠊⠝⠁⠅⠐⠊⠙⠑⠎⠀⠐⠑⠓⠥⠝⠀
⠏⠕⠇⠐⠽⠀⠍⠊⠅⠗⠐⠁⠀⠛⠗⠐⠁⠍⠍⠁⠞⠁⠂⠀⠀⠀⠀⠀⠀
⠑⠅⠞⠑⠝⠐⠜⠀⠅⠑⠐⠊⠍⠑⠝⠁⠂⠀⠅⠲⠇⠏⠲⠀⠲⠀⠀⠀⠀
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠑⠏⠊⠹⠽⠍⠜⠞⠐⠕⠀⠝⠁⠀⠀⠀
⠛⠐⠊⠝⠩⠀⠏⠑⠗⠑⠞⠁⠐⠊⠗⠚⠀⠛⠑⠋⠐⠽⠗⠚⠎⠜⠀⠎⠑
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠙⠙
⠅⠐⠁⠏⠪⠁⠀⠎⠜⠍⠑⠐⠊⠁⠀⠞⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎
⠐⠕⠏⠥⠀⠞⠕⠀⠐⠑⠙⠁⠋⠕⠎⠀⠏⠁⠗⠥⠎⠊⠐⠁⠵⠩⠀⠀⠀
⠎⠓⠑⠞⠊⠅⠐⠁⠀⠐⠑⠝⠞⠕⠝⠑⠎⠀⠋⠽⠎⠊⠅⠐⠑⠎⠀⠀⠀
⠁⠝⠚⠍⠁⠇⠐⠊⠑⠎⠀⠀⠏⠗⠕⠑⠭⠐⠑⠓⠕⠝⠞⠁⠀⠀⠀⠀⠀
⠃⠗⠐⠁⠓⠊⠁⠀⠏⠐⠑⠞⠗⠑⠎⠀⠀⠅⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠛⠅⠐⠁⠗⠎⠊⠑⠎⠀⠐⠜⠀⠙⠊⠁⠍⠐⠜⠅⠩⠎⠀⠀⠀⠀⠀⠀
⠅⠇⠐⠊⠎⠩⠎⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠎⠜⠍⠁⠝⠞⠊⠅⠐⠕⠀⠞⠕⠀⠀⠀
⠏⠗⠕⠎⠚⠏⠊⠅⠐⠕⠀⠞⠥⠀⠅⠐⠑⠝⠞⠗⠥⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠎⠀⠝⠁⠀⠇⠐⠁⠃⠩⠀⠀⠀⠀⠀⠀⠀
⠑⠭⠩⠙⠊⠅⠱⠍⠐⠑⠝⠜⠀⠑⠅⠏⠁⠐⠊⠙⠱⠎⠜⠀⠛⠊⠁⠀⠀
⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠭⠽⠏⠜⠗⠐⠑⠞⠜⠎⠜⠀⠭⠑⠝⠐⠁⠛⠜⠎⠜⠀⠏⠇⠜⠗⠕⠀
⠋⠐⠕⠗⠜⠎⠜⠀⠁⠞⠐⠕⠍⠚⠝⠀⠍⠑⠀⠁⠝⠁⠏⠜⠗⠐⠊⠁⠲
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠑⠏⠊⠹⠽⠍⠜⠞⠐⠕⠀⠝⠁⠀⠀⠀
⠑⠭⠕⠏⠇⠊⠎⠹⠑⠐⠊⠀⠞⠕⠀⠅⠐⠑⠝⠞⠗⠕⠀⠍⠑⠀⠀⠀⠀
⠑⠭⠕⠏⠇⠊⠎⠍⠐⠕⠀⠅⠣⠀⠎⠽⠎⠅⠱⠐⠑⠎⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠐⠁⠇⠇⠜⠇⠑⠎⠀⠛⠊⠁⠀⠑⠏⠊⠎⠅⠐⠑⠏⠞⠑⠎⠀⠀
⠍⠑⠀⠁⠝⠁⠏⠜⠗⠐⠊⠁⠀⠀⠏⠲⠓⠲⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠐⠁⠇⠇⠜⠇⠁⠀⠓⠩⠗⠕⠅⠐⠊⠝⠜⠞⠁⠀⠀⠀⠀⠀⠀⠀
⠁⠝⠁⠏⠜⠗⠊⠅⠐⠁⠀⠁⠍⠁⠭⠐⠊⠙⠊⠁⠀⠍⠑⠀⠀⠀⠀⠀⠀
⠓⠕⠝⠞⠗⠐⠑⠎⠀⠗⠐⠕⠙⠑⠎⠀⠛⠊⠁⠀⠙⠊⠐⠁⠹⠑⠎⠜⠀
⠎⠞⠕⠀⠅⠪⠝⠐⠕⠂⠀⠍⠊⠅⠗⠐⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠜⠇⠑⠅⠞⠗⠕⠅⠐⠊⠝⠜⠞⠕⠀⠁⠍⠁⠭⠐⠊⠙⠊⠕⠀⠀⠀⠀⠀
⠞⠐⠽⠏⠥⠀⠛⠅⠕⠇⠋⠀⠍⠑⠀⠹⠐⠑⠎⠜⠀⠅⠣⠀⠛⠊⠁⠀⠀
⠁⠝⠁⠏⠜⠗⠊⠅⠐⠕⠀⠁⠍⠁⠭⠐⠊⠙⠊⠕⠀⠛⠊⠁⠀⠀⠀⠀⠀
⠭⠑⠝⠁⠛⠐⠜⠎⠩⠎⠂⠀⠏⠗⠕⠍⠐⠜⠹⠩⠁⠀⠅⠣⠀⠀⠀⠀⠀
⠞⠕⠏⠕⠹⠐⠑⠞⠜⠎⠜⠀⠏⠑⠗⠊⠎⠅⠕⠏⠐⠊⠚⠝⠀⠎⠑⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠙⠑
⠅⠁⠞⠐⠁⠇⠇⠜⠇⠁⠀⠐⠽⠯⠜⠀⠛⠊⠁⠀⠐⠕⠇⠥⠎⠂⠀⠀⠀
⠎⠐⠽⠎⠞⠜⠍⠁⠀⠡⠞⠐⠕⠝⠕⠍⠜⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠭⠑⠝⠐⠁⠛⠜⠎⠜⠎⠂⠀⠅⠲⠇⠏⠲⠀⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠑⠏⠊⠹⠽⠍⠜⠞⠐⠕⠀⠝⠁⠀⠀⠀
⠍⠑⠞⠁⠛⠗⠁⠋⠹⠑⠐⠊⠀⠞⠕⠀⠽⠇⠊⠅⠐⠕⠀⠀⠀⠀⠀⠀⠀
⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠎⠀⠏⠥⠀⠙⠊⠁⠞⠐⠊⠹⠑⠞⠣⠀⠀
⠎⠞⠥⠎⠀⠑⠏⠊⠎⠅⠐⠑⠏⠞⠑⠎⠀⠞⠥⠀⠅⠐⠑⠝⠞⠗⠥⠀⠀
⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠎⠀⠎⠑⠀⠑⠏⠊⠏⠇⠐⠑⠕⠝⠀⠀⠀
⠑⠝⠁⠇⠇⠁⠅⠞⠊⠅⠐⠑⠎⠀⠏⠗⠕⠎⠃⠐⠁⠎⠊⠍⠑⠎⠀⠀⠀
⠍⠕⠗⠋⠐⠑⠎⠀⠀⠏⠗⠕⠎⠃⠐⠁⠎⠊⠍⠑⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠜⠇⠑⠅⠞⠗⠕⠝⠊⠅⠐⠑⠎⠀⠍⠕⠗⠋⠐⠑⠎⠂⠀⠎⠑⠀⠀⠀⠀
⠁⠅⠥⠎⠞⠊⠅⠐⠜⠀⠍⠕⠗⠋⠐⠜⠂⠀⠎⠑⠀⠍⠕⠗⠋⠐⠜⠀⠀
⠃⠐⠊⠝⠞⠑⠕⠀⠍⠑⠀⠁⠏⠐⠕⠙⠕⠎⠜⠀⠎⠑⠀⠀⠀⠀⠀⠀⠀
⠝⠕⠜⠍⠁⠞⠊⠅⠐⠜⠀⠛⠇⠐⠚⠎⠎⠁⠂⠀⠎⠑⠀⠀⠀⠀⠀⠀⠀
⠐⠑⠝⠞⠽⠏⠜⠀⠍⠕⠗⠋⠐⠜⠀⠃⠗⠁⠊⠇⠇⠑⠂⠀⠎⠑⠀⠀⠀
⠐⠑⠝⠞⠽⠏⠜⠀⠍⠕⠗⠋⠐⠜⠀⠛⠊⠁⠀⠁⠍⠃⠇⠐⠽⠚⠏⠑⠎
⠤⠀⠇⠁⠗⠛⠑⠏⠗⠊⠝⠞⠂⠀⠎⠑⠀⠍⠕⠗⠋⠐⠜⠀⠀⠀⠀⠀⠀
⠑⠐⠽⠅⠕⠇⠜⠎⠀⠁⠝⠐⠁⠛⠝⠚⠎⠜⠎⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠁⠎⠽⠗⠑⠁⠙⠂⠀⠅⠇⠏⠲⠀⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠑⠏⠊⠹⠽⠍⠜⠞⠐⠕⠀⠝⠁⠀⠀⠀
⠃⠑⠇⠞⠊⠚⠹⠑⠐⠊⠀⠜⠀⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠀
⠞⠥⠀⠅⠐⠑⠝⠞⠗⠥⠀⠀⠙⠊⠁⠍⠐⠕⠗⠋⠚⠎⠜⠀⠀⠀⠀⠀⠀
⠹⠐⠑⠎⠜⠎⠀⠎⠞⠐⠁⠹⠍⠱⠎⠜⠎⠀⠕⠓⠜⠍⠐⠁⠞⠚⠝⠀⠀
⠁⠍⠑⠁⠂⠀⠙⠜⠍⠊⠥⠗⠛⠐⠊⠁⠀⠏⠗⠕⠎⠃⠐⠁⠎⠊⠍⠥⠀
⠺⠉⠂⠀⠑⠝⠎⠚⠍⠐⠁⠞⠚⠎⠜⠀⠑⠝⠁⠇⠇⠁⠅⠞⠊⠅⠐⠚⠝
⠞⠗⠐⠕⠏⠚⠝⠀⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠎⠂⠀⠏⠲⠓⠲⠂⠀
⠁⠅⠥⠎⠞⠊⠅⠐⠑⠎⠀⠏⠑⠗⠊⠛⠗⠁⠋⠐⠑⠎⠂⠀⠀⠀⠀⠀⠀
⠏⠑⠗⠊⠛⠗⠁⠋⠐⠑⠎⠀⠎⠑⠀⠝⠕⠜⠍⠁⠞⠊⠅⠐⠜⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠙⠋
⠛⠇⠐⠚⠎⠎⠁⠀⠅⠲⠇⠏⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠎⠜⠍⠁⠝⠞⠊⠅⠐⠕⠀⠞⠕⠀⠀⠀
⠅⠐⠑⠝⠞⠗⠕⠀⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠎⠀⠝⠁⠀⠀⠀⠀⠀
⠙⠊⠁⠍⠕⠗⠋⠐⠚⠎⠩⠀⠩⠙⠊⠅⠐⠕⠀⠏⠇⠐⠁⠝⠕⠀⠍⠑⠀
⠏⠗⠕⠃⠇⠐⠑⠯⠩⠎⠀⠛⠊⠁⠀⠐⠑⠅⠞⠁⠅⠞⠑⠎⠀⠀⠀⠀⠀
⠏⠑⠗⠊⠏⠞⠐⠚⠎⠩⠎⠀⠅⠣⠀⠏⠑⠗⠊⠏⠞⠐⠚⠎⠩⠎⠀⠀⠀
⠅⠊⠝⠙⠐⠽⠝⠥⠀⠏⠥⠀⠝⠁⠀⠇⠁⠍⠃⠐⠁⠝⠥⠝⠀⠀⠀⠀⠀
⠽⠏⠐⠕⠯⠜⠀⠞⠊⠎⠀⠁⠝⠐⠁⠛⠅⠑⠎⠀⠞⠚⠝⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠍⠑⠀⠁⠝⠁⠏⠜⠗⠐⠊⠁⠲⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠑⠝⠀⠅⠁⠞⠁⠅⠇⠑⠐⠊⠙⠊⠂⠀⠜⠀⠝⠐⠑⠁⠀⠀⠀⠀⠀
⠪⠅⠕⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠎⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠁⠗⠁⠝⠛⠁⠇⠊⠞⠎⠁⠀⠎⠽⠝⠊⠎⠞⠐⠁⠀⠍⠊⠁⠀⠀⠀⠀
⠎⠜⠍⠁⠝⠞⠊⠅⠐⠜⠂⠀⠅⠣⠀⠏⠗⠚⠞⠕⠏⠕⠗⠊⠁⠅⠐⠜⠀
⠛⠊⠁⠀⠞⠜⠀⠓⠐⠚⠗⠁⠂⠀⠱⠅⠣⠗⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠐⠕⠎⠃⠁⠎⠜⠀⠎⠞⠜⠀⠋⠐⠽⠎⠜⠀⠛⠊⠁⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠎⠅⠐⠑⠏⠞⠑⠎⠀⠍⠑⠀⠍⠩⠚⠍⠐⠑⠝⠜⠀⠀⠀⠀⠀⠀
⠅⠊⠝⠜⠞⠊⠅⠐⠕⠞⠜⠞⠁⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠩⠙⠊⠅⠐⠕⠞⠑⠗⠁⠂⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠐⠕⠞⠊⠀⠀
⠋⠐⠑⠗⠩⠀⠓⠁⠗⠁⠅⠞⠜⠗⠊⠎⠞⠊⠅⠐⠁⠀⠏⠥⠀⠹⠁⠀⠀
⠙⠊⠱⠅⠕⠇⠐⠽⠝⠥⠝⠀⠎⠜⠍⠁⠝⠞⠊⠅⠐⠁⠀⠞⠜⠝⠀⠀⠀
⠑⠏⠐⠊⠎⠅⠑⠯⠜⠂⠀⠅⠁⠞⠐⠁⠀⠏⠗⠕⠞⠐⠊⠍⠜⠎⠜⠀⠀
⠍⠑⠀⠎⠽⠝⠕⠙⠐⠕⠀⠃⠕⠜⠹⠐⠕⠂⠀⠁⠏⠐⠕⠀⠀⠀⠀⠀⠀
⠐⠁⠞⠕⠍⠁⠀⠍⠑⠀⠏⠑⠗⠊⠕⠗⠊⠎⠍⠕⠐⠽⠎⠀⠀⠀⠀⠀⠀
⠅⠐⠊⠝⠜⠎⠜⠎⠀⠀⠐⠁⠞⠕⠍⠁⠀⠏⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠓⠗⠜⠎⠊⠍⠕⠏⠪⠕⠐⠽⠝⠀⠍⠏⠁⠎⠞⠕⠐⠽⠝⠊⠂⠀⠀⠀⠀
⠃⠁⠅⠞⠜⠗⠐⠊⠑⠎⠂⠀⠅⠲⠇⠏⠲⠀⠂⠀⠐⠁⠞⠕⠍⠁⠀⠍⠑
⠁⠝⠁⠏⠜⠗⠊⠅⠐⠕⠀⠁⠍⠁⠭⠐⠊⠙⠊⠕⠀⠀⠎⠓⠑⠙⠐⠕⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠙⠛
⠐⠕⠇⠚⠝⠀⠞⠚⠝⠀⠞⠐⠽⠏⠚⠝⠀⠂⠀⠐⠁⠞⠕⠍⠁⠀⠍⠑⠀
⠏⠑⠗⠊⠕⠗⠊⠎⠍⠐⠑⠝⠜⠀⠐⠕⠗⠁⠎⠜⠀⠅⠣⠀⠀⠀⠀⠀⠀
⠐⠁⠞⠕⠍⠁⠀⠞⠽⠋⠇⠐⠁⠀⠏⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠓⠗⠜⠎⠊⠍⠕⠏⠪⠕⠐⠽⠝⠀⠎⠅⠐⠽⠇⠕⠀⠕⠙⠜⠛⠐⠕⠀⠀
⠐⠜⠀⠅⠣⠀⠇⠱⠅⠐⠕⠀⠍⠏⠁⠎⠞⠕⠐⠽⠝⠊⠲⠀⠀⠀⠀⠀⠀
⠀⠀⠜⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠅⠗⠐⠊⠝⠑⠞⠣⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠎⠅⠐⠑⠯⠊⠍⠜⠀⠅⠣⠀⠛⠊⠁⠀⠐⠁⠞⠕⠍⠁⠀⠀⠀⠀
⠅⠚⠋⠐⠁⠀⠐⠜⠀⠍⠑⠀⠏⠗⠕⠃⠇⠐⠜⠍⠁⠞⠁⠀⠀⠀⠀⠀⠀
⠁⠅⠕⠐⠜⠎⠂⠀⠅⠁⠹⠐⠚⠎⠀⠅⠣⠀⠛⠊⠁⠀⠐⠁⠞⠕⠍⠁⠀
⠍⠑⠀⠝⠕⠜⠞⠊⠅⠐⠑⠎⠀⠛⠝⠚⠎⠞⠊⠅⠐⠑⠎⠀⠀⠀⠀⠀⠀
⠁⠝⠁⠏⠜⠗⠐⠊⠑⠎⠂⠀⠏⠁⠗⠐⠕⠞⠊⠀⠙⠑⠝⠀⠀⠀⠀⠀⠀
⠏⠑⠗⠊⠇⠁⠍⠃⠐⠁⠝⠕⠝⠞⠣⠀⠑⠝⠙⠑⠓⠕⠍⠐⠑⠝⠚⠎⠀
⠑⠏⠊⠹⠽⠍⠜⠞⠐⠑⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠎⠁⠗⠍⠕⠛⠐⠑⠎⠀⠙⠊⠱⠅⠕⠇⠐⠽⠝⠎⠩⠎⠀⠀⠀⠀
⠩⠙⠊⠅⠐⠁⠀⠛⠊⠁⠀⠡⠞⠐⠑⠎⠀⠞⠊⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠜⠛⠕⠗⠐⠊⠑⠎⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠅⠑⠋⠐⠁⠇⠣⠕⠀⠼⠃⠒⠀⠙⠊⠙⠐⠁⠛⠍⠁⠞⠁⠀⠀⠀⠀
⠁⠏⠐⠕⠀⠞⠜⠀⠓⠗⠐⠜⠎⠜⠀⠎⠞⠜⠝⠀⠏⠗⠐⠁⠭⠜⠀⠞⠥
⠕⠙⠜⠛⠕⠐⠽⠀⠃⠊⠕⠃⠉⠁⠗⠑⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠎⠞⠕⠝⠀⠕⠙⠜⠛⠐⠕⠀⠏⠁⠗⠥⠎⠊⠐⠁⠵⠕⠝⠞⠣⠀⠀
⠞⠑⠓⠝⠊⠅⠐⠑⠎⠀⠅⠣⠀⠏⠗⠁⠅⠞⠊⠅⠐⠁⠀⠀⠀⠀⠀⠀⠀
⠑⠗⠛⠁⠇⠑⠐⠊⠁⠀⠞⠁⠀⠕⠏⠕⠐⠊⠁⠀⠍⠏⠕⠗⠕⠐⠽⠝⠀
⠝⠁⠀⠓⠗⠜⠎⠊⠍⠕⠏⠪⠜⠹⠕⠐⠽⠝⠀⠎⠞⠕⠀⠀⠀⠀⠀⠀⠀
⠏⠇⠁⠐⠊⠎⠊⠕⠀⠞⠜⠎⠀⠙⠜⠍⠊⠥⠗⠛⠐⠊⠁⠎⠀⠀⠀⠀⠀
⠐⠜⠀⠅⠣⠀⠃⠑⠇⠞⠐⠊⠚⠎⠜⠎⠀⠏⠗⠕⠎⠃⠐⠁⠎⠊⠍⠚⠝
⠙⠊⠁⠙⠗⠕⠍⠐⠚⠝⠀⠎⠞⠜⠀⠋⠐⠽⠎⠜⠀⠀⠏⠲⠓⠲⠀⠀⠀
⠑⠝⠞⠐⠕⠎⠀⠍⠊⠁⠎⠀⠏⠑⠗⠊⠕⠓⠐⠜⠎⠀⠝⠁⠞⠥⠗⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠙⠓
⠼⠃⠚⠚⠚⠀⠀⠅⠣⠀⠝⠁⠀⠽⠏⠕⠎⠞⠜⠗⠐⠊⠭⠥⠝⠒⠀⠀⠀
⠀⠀⠀⠀⠞⠜⠀⠙⠊⠁⠙⠊⠅⠁⠎⠐⠊⠁⠀⠞⠥⠀⠑⠇⠐⠑⠛⠓⠥
⠙⠊⠁⠙⠗⠕⠍⠐⠚⠝⠀⠛⠊⠁⠀⠞⠕⠝⠀⠑⠝⠞⠕⠏⠊⠎⠍⠐⠕
⠑⠍⠏⠕⠙⠐⠊⠚⠝⠀⠅⠣⠀⠏⠗⠕⠃⠇⠜⠍⠐⠁⠞⠚⠝⠀⠏⠥⠀
⠽⠋⠐⠊⠎⠞⠁⠝⠞⠣⠀⠛⠊⠁⠀⠙⠊⠐⠁⠋⠕⠗⠑⠎⠀⠀⠀⠀⠀
⠅⠁⠞⠜⠛⠕⠗⠐⠊⠑⠎⠀⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠍⠑⠀⠀⠀
⠍⠩⠚⠍⠐⠑⠝⠜⠀⠅⠊⠝⠜⠞⠊⠅⠐⠕⠞⠜⠞⠁⠂⠀⠏⠲⠓⠲⠀
⠍⠑⠀⠁⠏⠐⠚⠞⠑⠗⠕⠀⠎⠅⠕⠏⠐⠕⠀⠞⠜⠀⠀⠀⠀⠀⠀⠀⠀
⠃⠑⠇⠞⠐⠊⠚⠎⠜⠀⠞⠚⠝⠀⠎⠽⠝⠹⠜⠅⠐⠚⠝⠀⠀⠀⠀⠀⠀
⠏⠗⠐⠕⠎⠃⠁⠎⠜⠎⠀⠅⠣⠀⠛⠑⠝⠊⠅⠐⠕⠞⠑⠗⠁⠀⠞⠜⠀
⠃⠑⠇⠞⠐⠊⠚⠎⠜⠀⠞⠜⠎⠀⠑⠍⠏⠩⠗⠐⠊⠁⠎⠀⠛⠊⠁⠀⠀
⠞⠕⠀⠍⠑⠛⠁⠇⠐⠽⠞⠑⠗⠕⠀⠙⠽⠝⠁⠞⠐⠕⠀⠑⠐⠽⠗⠕⠎
⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠍⠑⠀⠍⠩⠚⠍⠐⠑⠝⠜⠀⠀⠀⠀⠀⠀
⠅⠊⠝⠜⠞⠊⠅⠐⠕⠞⠜⠞⠁⠂⠀⠅⠁⠹⠐⠚⠎⠀⠅⠣⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠞⠜⠀⠙⠊⠁⠙⠊⠅⠁⠎⠐⠊⠁⠀⠞⠜⠎⠀⠀⠀⠀⠀⠀⠀
⠏⠑⠗⠊⠛⠗⠁⠋⠐⠜⠎⠀⠞⠜⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠚⠝⠂⠀
⠏⠲⠓⠲⠀⠍⠑⠀⠁⠏⠐⠚⠞⠑⠗⠕⠀⠎⠅⠕⠏⠐⠕⠀⠞⠜⠝⠀⠀
⠏⠗⠕⠎⠐⠑⠇⠅⠽⠎⠜⠂⠀⠁⠝⠁⠇⠽⠞⠊⠅⠐⠜⠀⠀⠀⠀⠀⠀
⠏⠇⠜⠗⠕⠋⠐⠕⠗⠜⠎⠜⠀⠅⠣⠀⠅⠁⠹⠕⠙⠐⠜⠛⠜⠎⠜⠀⠀
⠞⠚⠝⠀⠑⠝⠙⠊⠁⠋⠑⠗⠐⠕⠍⠑⠝⠚⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠍⠑⠀⠍⠩⠚⠍⠐⠑⠝⠜⠀⠀⠀⠀⠀⠀
⠅⠊⠝⠜⠞⠊⠅⠐⠕⠞⠜⠞⠁⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠩⠙⠊⠅⠐⠕⠞⠑⠗⠁⠂⠀⠏⠁⠗⠥⠎⠊⠐⠁⠵⠕⠝⠞⠣⠀⠀
⠞⠑⠓⠝⠊⠅⠐⠑⠎⠀⠅⠣⠀⠑⠗⠛⠁⠇⠑⠐⠊⠁⠀⠛⠊⠁⠀⠀⠀
⠞⠊⠎⠀⠑⠭⠐⠜⠎⠀⠙⠊⠑⠗⠛⠁⠎⠐⠊⠑⠎⠒⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠏⠗⠕⠑⠞⠪⠍⠁⠎⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠙⠊
⠏⠗⠕⠛⠗⠁⠍⠍⠁⠞⠊⠎⠍⠐⠕⠎⠂⠀⠙⠜⠇⠲⠀⠞⠜⠝⠀⠀⠀
⠁⠗⠓⠊⠅⠐⠜⠀⠎⠽⠇⠇⠕⠛⠐⠜⠀⠞⠚⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠏⠁⠗⠁⠐⠊⠞⠜⠞⠚⠝⠀⠎⠞⠪⠓⠑⠐⠊⠚⠝⠀⠅⠣⠀⠀⠀⠀
⠏⠇⠜⠗⠕⠋⠕⠗⠐⠊⠚⠝⠀⠛⠊⠁⠀⠞⠕⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠓⠑⠙⠊⠁⠎⠍⠐⠕⠀⠅⠣⠀⠛⠑⠝⠊⠅⠐⠕⠞⠑⠗⠁⠀⠞⠜⠝
⠏⠗⠕⠑⠞⠪⠍⠁⠎⠐⠊⠁⠀⠞⠚⠝⠀⠑⠇⠐⠑⠛⠓⠚⠝⠂⠀⠀⠀
⠐⠕⠏⠚⠎⠀⠛⠑⠝⠊⠅⠐⠑⠎⠀⠏⠇⠜⠗⠕⠋⠕⠗⠐⠊⠑⠎⠀⠀
⠛⠊⠁⠀⠞⠜⠀⠹⠐⠑⠎⠜⠂⠀⠞⠕⠝⠀⠓⠁⠗⠁⠅⠞⠐⠜⠗⠁⠂
⠞⠕⠀⠏⠑⠗⠊⠑⠓⠐⠕⠍⠑⠝⠕⠀⠅⠣⠀⠞⠕⠝⠀⠋⠕⠗⠐⠑⠁
⠙⠊⠁⠓⠑⠐⠊⠗⠊⠎⠜⠎⠀⠞⠜⠎⠀⠏⠑⠗⠊⠕⠓⠐⠜⠎⠀⠀⠀
⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠂⠀⠞⠕⠀⠅⠐⠊⠝⠜⠞⠗⠕⠀⠅⠣⠀⠀⠀
⠞⠥⠎⠀⠎⠞⠐⠕⠓⠥⠎⠀⠞⠜⠎⠀⠁⠭⠊⠕⠇⠐⠕⠛⠜⠎⠜⠎⠂
⠞⠽⠓⠐⠕⠝⠀⠏⠑⠗⠊⠕⠗⠊⠎⠍⠕⠐⠽⠎⠀⠅⠲⠇⠏⠲⠀⠀⠀
⠀⠀⠀⠀⠑⠅⠏⠐⠕⠝⠜⠎⠜⠀⠞⠚⠝⠀⠑⠇⠐⠑⠛⠓⠚⠝⠂⠀⠀
⠙⠜⠇⠲⠀⠞⠜⠀⠎⠽⠇⠇⠕⠛⠐⠜⠀⠏⠗⠚⠞⠕⠛⠑⠝⠐⠚⠝⠀
⠙⠑⠙⠕⠍⠐⠑⠝⠚⠝⠀⠎⠓⠑⠞⠊⠅⠐⠁⠀⠍⠑⠀⠞⠊⠎⠀⠀⠀
⠎⠽⠝⠹⠐⠜⠅⠑⠎⠀⠏⠗⠐⠕⠎⠃⠁⠎⠜⠎⠀⠅⠣⠀⠀⠀⠀⠀⠀
⠓⠗⠐⠜⠎⠜⠎⠀⠞⠜⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠑⠗⠊⠕⠓⠐⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠀⠁⠏⠐⠕⠀⠀⠀⠀
⠙⠊⠐⠁⠋⠕⠗⠥⠎⠀⠞⠐⠽⠏⠥⠎⠀⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀
⠍⠑⠀⠍⠩⠚⠍⠐⠑⠝⠜⠀⠅⠊⠝⠜⠞⠊⠅⠐⠕⠞⠜⠞⠁⠂⠀⠀⠀
⠐⠕⠏⠚⠎⠀⠍⠑⠞⠗⠐⠜⠎⠩⠎⠀⠅⠣⠀⠎⠞⠪⠓⠑⠐⠊⠁⠀⠀
⠏⠥⠀⠅⠁⠞⠁⠛⠗⠐⠁⠋⠥⠝⠀⠪⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠭⠊⠕⠇⠕⠛⠜⠞⠐⠑⠎⠂⠀⠎⠽⠝⠑⠝⠞⠑⠐⠽⠭⠩⠎⠂⠀⠀
⠋⠚⠞⠕⠛⠗⠁⠋⠐⠊⠑⠎⠀⠅⠲⠇⠏⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠑⠏⠑⠭⠑⠗⠛⠁⠎⠐⠊⠁⠀⠙⠑⠙⠕⠍⠐⠑⠝⠚⠝⠀⠀
⠅⠣⠀⠁⠝⠁⠋⠕⠗⠐⠁⠀⠱⠗⠜⠍⠐⠁⠞⠚⠝⠂⠀⠙⠜⠇⠲⠀⠀
⠞⠜⠝⠀⠕⠗⠛⠐⠁⠝⠚⠎⠜⠀⠅⠣⠀⠁⠝⠐⠁⠇⠽⠎⠜⠀⠞⠚⠝
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠑⠚
⠙⠑⠙⠕⠍⠐⠑⠝⠚⠝⠀⠅⠣⠀⠞⠜⠝⠀⠑⠭⠁⠛⠚⠛⠐⠜⠀⠀⠀
⠎⠽⠍⠏⠑⠗⠁⠎⠍⠐⠁⠞⠚⠝⠀⠎⠓⠑⠞⠊⠅⠐⠁⠀⠍⠑⠀⠀⠀
⠑⠍⠏⠐⠕⠙⠊⠁⠂⠀⠑⠇⠇⠑⠐⠊⠯⠩⠎⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠽⠎⠅⠕⠇⠐⠊⠑⠎⠂⠀⠅⠊⠝⠙⠐⠽⠝⠥⠎⠀⠅⠲⠇⠏⠲⠀⠀
⠏⠥⠀⠽⠋⠐⠊⠎⠞⠁⠝⠞⠣⠀⠎⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠑⠗⠊⠕⠓⠐⠜⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠀⠛⠊⠁⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠐⠁⠋⠕⠗⠥⠎⠀⠞⠐⠽⠏⠥⠎⠀⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀
⠍⠑⠀⠍⠩⠚⠍⠐⠑⠝⠜⠀⠅⠊⠝⠜⠞⠊⠅⠐⠕⠞⠜⠞⠁⠂⠀⠀⠀
⠅⠁⠹⠐⠚⠎⠀⠅⠣⠀⠞⠜⠀⠎⠽⠛⠅⠑⠝⠞⠗⠚⠞⠊⠅⠐⠜⠀⠀
⠏⠁⠗⠥⠎⠐⠊⠁⠎⠜⠀⠡⠞⠐⠚⠝⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠇⠐⠜⠯⠜⠀⠁⠏⠕⠋⠐⠁⠎⠑⠚⠝⠂⠀⠙⠜⠇⠲⠀⠀⠀
⠞⠜⠝⠀⠊⠑⠗⠐⠁⠗⠓⠜⠎⠜⠀⠞⠚⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠁⠛⠑⠛⠗⠁⠍⠍⠐⠑⠝⠚⠝⠀⠵⠜⠞⠜⠍⠐⠁⠞⠚⠝⠀⠀
⠅⠣⠀⠞⠜⠀⠙⠊⠁⠍⠐⠕⠗⠋⠚⠎⠜⠀⠏⠗⠕⠞⠐⠁⠎⠑⠚⠝⠀
⠁⠝⠞⠊⠍⠑⠞⠐⠚⠏⠊⠎⠐⠜⠎⠀⠞⠥⠎⠂⠀⠅⠁⠹⠐⠚⠎⠀⠀
⠅⠣⠀⠞⠜⠀⠎⠐⠽⠝⠹⠑⠎⠜⠀⠕⠇⠕⠅⠇⠜⠗⠚⠍⠐⠑⠝⠚⠝
⠏⠇⠐⠁⠝⠚⠝⠀⠑⠗⠛⠁⠎⠊⠐⠚⠝⠀⠅⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠝⠙⠑⠙⠩⠛⠍⠐⠑⠝⠚⠝⠀⠍⠐⠑⠞⠗⠚⠝⠀⠛⠊⠁⠀⠞⠜⠀
⠃⠑⠇⠞⠐⠊⠚⠎⠜⠀⠅⠣⠀⠞⠜⠝⠀⠑⠝⠐⠊⠎⠓⠽⠎⠜⠀⠀⠀
⠞⠜⠎⠀⠑⠏⠊⠎⠅⠑⠯⠊⠍⠐⠕⠞⠜⠞⠁⠎⠀⠞⠜⠎⠀⠀⠀⠀⠀
⠏⠑⠗⠊⠕⠓⠐⠜⠎⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠙⠜⠍⠊⠥⠗⠛⠐⠊⠁⠀⠓⠗⠜⠎⠞⠊⠅⠐⠚⠝⠀⠀⠀⠀
⠏⠑⠗⠊⠛⠗⠁⠋⠐⠚⠝⠀⠛⠊⠁⠀⠞⠊⠎⠀⠕⠍⠐⠁⠙⠑⠎⠀⠀
⠎⠞⠐⠕⠓⠕⠂⠀⠙⠜⠇⠲⠀⠞⠜⠀⠎⠽⠇⠇⠕⠛⠐⠜⠀⠀⠀⠀⠀
⠎⠽⠍⠏⠇⠜⠗⠚⠍⠁⠞⠊⠅⠐⠚⠝⠀⠙⠑⠙⠕⠍⠐⠑⠝⠚⠝⠀⠀
⠅⠣⠀⠏⠇⠜⠗⠕⠋⠕⠗⠊⠐⠚⠝⠀⠀⠏⠲⠓⠲⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠏⠇⠐⠑⠕⠝⠀⠋⠚⠞⠕⠛⠗⠁⠋⠐⠊⠑⠎⠀⠅⠣⠀⠀⠀⠀
⠃⠐⠊⠝⠞⠑⠕⠂⠀⠏⠇⠜⠗⠕⠋⠕⠗⠐⠊⠑⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠑⠁
⠎⠓⠑⠞⠊⠅⠐⠁⠀⠍⠑⠀⠐⠁⠇⠇⠁⠀⠁⠭⠊⠕⠹⠐⠑⠁⠞⠁⠀
⠅⠣⠀⠑⠝⠙⠊⠁⠋⠐⠑⠗⠕⠝⠞⠁⠀⠅⠕⠝⠞⠐⠁⠀⠎⠞⠜⠝⠀
⠏⠑⠗⠊⠕⠓⠐⠜⠀⠅⠲⠐⠁⠲⠀⠂⠀⠅⠁⠹⠐⠚⠎⠀⠅⠣⠀⠀⠀
⠞⠜⠝⠀⠏⠁⠗⠁⠛⠚⠛⠐⠜⠀⠓⠗⠜⠎⠞⠊⠅⠕⠐⠽⠀⠀⠀⠀⠀
⠏⠇⠜⠗⠕⠋⠕⠗⠊⠁⠅⠕⠐⠽⠀⠽⠇⠊⠅⠕⠐⠽⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠏⠗⠕⠋⠐⠊⠇⠀⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠎⠀⠀⠀
⠛⠊⠁⠀⠞⠥⠎⠀⠑⠝⠙⠊⠁⠋⠑⠗⠐⠕⠍⠑⠝⠥⠎⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠎⠅⠐⠑⠏⠞⠑⠎⠀⠍⠑⠀⠍⠩⠚⠍⠐⠑⠝⠜⠀⠀⠀⠀⠀⠀
⠅⠊⠝⠜⠞⠊⠅⠐⠕⠞⠜⠞⠁⠀⠏⠥⠀⠞⠥⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠱⠅⠕⠇⠐⠽⠝⠩⠀⠏⠗⠊⠝⠀⠐⠜⠀⠅⠣⠀⠅⠁⠞⠐⠁⠀⠀
⠞⠜⠝⠀⠑⠏⠐⠊⠎⠅⠑⠯⠐⠜⠀⠞⠥⠎⠀⠝⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠛⠝⠚⠗⠐⠊⠎⠥⠝⠀⠅⠣⠀⠝⠁⠀⠑⠅⠞⠊⠍⠐⠜⠎⠥⠝⠀⠀⠀
⠞⠊⠎⠀⠑⠏⠊⠇⠕⠛⠐⠑⠎⠀⠏⠥⠀⠞⠥⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠎⠋⠐⠑⠗⠕⠝⠞⠣⠂⠀⠅⠁⠹⠐⠚⠎⠀⠅⠣⠀⠝⠁⠀⠀⠀
⠑⠝⠑⠗⠛⠐⠜⠎⠥⠝⠀⠏⠗⠕⠑⠞⠪⠍⠁⠎⠞⠕⠐⠽⠝⠀⠀⠀⠀
⠁⠝⠁⠇⠐⠕⠛⠚⠎⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠍⠑⠀⠞⠜⠝⠀⠑⠍⠏⠩⠗⠐⠊⠁⠀⠏⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠏⠕⠅⠕⠍⠐⠊⠎⠁⠍⠑⠀⠁⠏⠐⠕⠀⠞⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠑⠭⠁⠛⠚⠛⠐⠜⠀⠞⠚⠝⠀⠚⠎⠀⠐⠁⠝⠚⠀⠀⠀⠀⠀⠀⠀
⠑⠇⠐⠑⠛⠓⠚⠝⠀⠑⠋⠁⠗⠍⠐⠕⠵⠕⠝⠞⠁⠎⠀⠞⠊⠎⠀⠀⠀
⠏⠗⠕⠃⠇⠐⠑⠯⠩⠎⠀⠞⠥⠀⠕⠙⠜⠛⠕⠐⠽⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠃⠑⠃⠣⠐⠚⠝⠑⠞⠣⠀⠐⠕⠞⠊⠀⠪⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠞⠑⠓⠝⠊⠅⠐⠑⠎⠀⠅⠣⠀⠞⠁⠀⠑⠗⠛⠁⠇⠑⠐⠊⠁⠀⠏⠥⠀
⠏⠗⠕⠙⠊⠁⠛⠗⠐⠁⠋⠕⠝⠞⠣⠀⠎⠑⠀⠡⠞⠐⠕⠝⠒⠀⠀⠀⠀
⠀⠀⠀⠀⠎⠽⠝⠊⠎⠞⠕⠐⠽⠝⠀⠐⠑⠝⠁⠀⠑⠝⠊⠁⠐⠊⠕⠂⠀
⠕⠇⠕⠅⠇⠜⠗⠚⠍⠐⠑⠝⠕⠀⠎⠐⠽⠎⠞⠜⠍⠁⠀⠀⠀⠀⠀⠀⠀
⠁⠭⠊⠕⠇⠐⠕⠛⠜⠎⠜⠎⠀⠛⠊⠁⠀⠙⠊⠁⠙⠗⠕⠍⠐⠑⠎⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠑⠃
⠅⠣⠀⠽⠏⠕⠙⠕⠍⠐⠑⠎⠀⠎⠞⠜⠀⠋⠐⠽⠎⠜⠂⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠑⠭⠽⠏⠜⠗⠑⠞⠕⠐⠽⠝⠀⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠭⠊⠕⠇⠐⠕⠛⠜⠎⠜⠀⠍⠊⠁⠎⠀⠎⠩⠗⠐⠁⠎⠀⠀⠀⠀⠀⠀
⠓⠁⠗⠁⠅⠞⠜⠗⠊⠎⠞⠊⠅⠐⠚⠝⠀⠅⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠁⠗⠁⠛⠐⠕⠝⠞⠚⠝⠀⠏⠥⠀⠑⠏⠜⠗⠑⠐⠁⠵⠥⠝⠀⠞⠜⠝
⠑⠏⠊⠎⠅⠑⠯⠊⠍⠐⠕⠞⠜⠞⠁⠀⠅⠣⠀⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀
⠑⠍⠏⠩⠗⠐⠊⠁⠀⠞⠜⠎⠀⠑⠏⠐⠊⠎⠅⠑⠯⠜⠎⠀⠀⠀⠀⠀⠀
⠙⠊⠁⠋⠐⠕⠗⠚⠝⠀⠅⠁⠞⠜⠛⠕⠗⠊⠐⠚⠝⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠎⠅⠑⠏⠞⠐⠚⠝⠀⠍⠑⠀⠍⠩⠚⠍⠐⠑⠝⠜⠀⠀⠀⠀⠀⠀
⠅⠊⠝⠜⠞⠊⠅⠐⠕⠞⠜⠞⠁⠀⠅⠣⠀⠐⠕⠓⠊⠀⠍⠐⠕⠝⠕⠀⠀
⠞⠜⠎⠀⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠎⠀⠐⠜⠀⠞⠜⠎⠀⠀
⠎⠽⠍⠍⠐⠕⠗⠋⠚⠎⠜⠎⠀⠍⠑⠀⠽⠋⠊⠎⠞⠐⠁⠍⠑⠝⠑⠎⠀
⠕⠙⠜⠛⠐⠊⠑⠎⠀⠅⠣⠀⠅⠁⠝⠕⠝⠊⠎⠍⠕⠐⠽⠎⠂⠀⠀⠀⠀
⠀⠀⠀⠀⠍⠏⠕⠗⠕⠐⠽⠝⠀⠝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠓⠗⠜⠎⠊⠍⠕⠏⠪⠜⠹⠕⠐⠽⠝⠀⠑⠐⠽⠅⠕⠇⠁⠀⠎⠞⠜⠝⠀
⠏⠗⠐⠁⠭⠜⠂⠀⠁⠏⠐⠕⠀⠑⠇⠑⠛⠅⠞⠐⠑⠎⠀⠍⠑⠀⠀⠀⠀
⠙⠊⠐⠁⠋⠕⠗⠁⠀⠽⠏⠐⠕⠃⠁⠹⠗⠁⠀⠅⠣⠀⠓⠚⠗⠐⠊⠎⠀
⠝⠁⠀⠏⠗⠕⠀⠁⠏⠣⠞⠑⠐⠊⠞⠣⠀⠊⠙⠊⠁⠐⠊⠞⠑⠗⠜⠀⠀
⠑⠍⠏⠩⠗⠐⠊⠁⠀⠐⠜⠀⠃⠁⠹⠊⠐⠁⠀⠛⠝⠐⠚⠎⠜⠀⠎⠑⠀
⠵⠜⠞⠐⠜⠍⠁⠞⠁⠀⠁⠝⠁⠏⠜⠗⠐⠊⠁⠎⠂⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠎⠀⠐⠜⠀⠞⠑⠓⠝⠊⠅⠐⠑⠎
⠁⠭⠊⠕⠇⠐⠕⠛⠜⠎⠜⠎⠀⠛⠊⠁⠀⠐⠁⠞⠕⠍⠁⠀⠍⠑⠀⠀⠀
⠁⠝⠁⠏⠜⠗⠐⠊⠁⠀⠅⠲⠇⠏⠲⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠍⠏⠕⠗⠕⠐⠽⠝⠀⠝⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠓⠗⠜⠎⠊⠍⠕⠏⠪⠜⠹⠕⠐⠽⠝⠀⠅⠣⠀⠁⠏⠐⠕⠀⠞⠕⠀⠀⠀
⠐⠊⠙⠊⠕⠀⠞⠕⠀⠏⠗⠕⠎⠚⠏⠊⠅⠐⠕⠀⠞⠚⠝⠀⠀⠀⠀⠀⠀
⠋⠕⠗⠐⠑⠚⠝⠂⠀⠎⠞⠕⠀⠏⠇⠁⠐⠊⠎⠊⠕⠀⠞⠜⠎⠀⠀⠀⠀
⠡⠞⠕⠁⠭⠊⠕⠇⠐⠕⠛⠜⠎⠜⠎⠀⠀⠁⠛⠛⠇⠲⠀⠎⠑⠇⠋⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠑⠉
⠑⠧⠁⠇⠥⠁⠞⠊⠕⠝⠀⠀⠅⠣⠀⠓⠚⠗⠐⠊⠎⠀⠝⠁⠀⠀⠀⠀⠀
⠑⠐⠊⠝⠣⠀⠽⠏⠕⠓⠗⠑⠚⠞⠊⠅⠐⠜⠀⠜⠀⠑⠍⠏⠇⠕⠅⠐⠜
⠁⠝⠞⠊⠏⠗⠕⠎⠚⠏⠱⠞⠊⠅⠐⠚⠝⠀⠏⠗⠁⠛⠍⠁⠞⠊⠅⠐⠀
⠚⠝⠀⠓⠗⠜⠎⠞⠐⠚⠝⠀⠀⠁⠛⠛⠇⠲⠀⠥⠎⠑⠗⠀⠀⠀⠀⠀⠀
⠞⠑⠎⠞⠊⠝⠛⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠑⠐⠊⠝⠣⠀⠑⠐⠽⠅⠕⠇⠁⠀⠎⠞⠜⠀⠓⠗⠐⠜⠎⠜⠂
⠓⠚⠗⠐⠊⠎⠀⠙⠽⠎⠁⠝⠐⠁⠇⠕⠛⠕⠀⠅⠐⠕⠎⠞⠕⠎⠀⠀⠀
⠁⠏⠐⠕⠀⠐⠁⠏⠕⠯⠜⠀⠓⠗⠐⠕⠝⠥⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠏⠁⠗⠁⠐⠊⠞⠜⠞⠚⠝⠀⠏⠐⠕⠗⠚⠝⠀⠐⠜⠀⠀⠀⠀⠀⠀⠀
⠑⠭⠕⠏⠇⠊⠎⠍⠐⠕⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠃⠕⠜⠹⠕⠐⠽⠝⠀⠎⠞⠕⠝⠀⠑⠝⠞⠕⠏⠊⠎⠍⠐⠕⠀
⠅⠣⠀⠎⠞⠜⠝⠀⠁⠝⠐⠁⠙⠩⠭⠜⠀⠐⠕⠓⠊⠀⠍⠐⠕⠝⠕⠀⠀
⠏⠗⠕⠃⠇⠜⠍⠐⠁⠞⠚⠝⠂⠀⠁⠇⠇⠐⠁⠀⠅⠣⠀⠀⠀⠀⠀⠀⠀
⠹⠑⠞⠊⠅⠐⠚⠝⠀⠎⠞⠪⠓⠑⠐⠊⠚⠝⠀⠏⠥⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠗⠐⠊⠝⠕⠝⠞⠣⠀⠎⠜⠍⠁⠝⠞⠊⠅⠐⠁⠀⠞⠐⠕⠎⠕⠀⠀⠀
⠛⠊⠁⠀⠞⠜⠝⠀⠁⠭⠊⠕⠏⠕⠐⠊⠜⠎⠐⠜⠀⠞⠥⠎⠀⠎⠞⠕⠀
⠏⠇⠁⠐⠊⠎⠊⠕⠀⠞⠜⠎⠀⠏⠗⠕⠃⠕⠇⠐⠜⠎⠂⠀⠐⠕⠎⠕⠀
⠅⠣⠀⠛⠊⠁⠀⠞⠜⠀⠙⠊⠁⠋⠐⠽⠇⠁⠭⠐⠜⠀⠞⠥⠎⠀⠎⠑⠀
⠏⠑⠗⠊⠏⠞⠐⠚⠎⠩⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠏⠊⠅⠑⠐⠊⠍⠑⠝⠚⠝⠀⠍⠑⠇⠇⠕⠝⠞⠊⠅⠐⠚⠝⠀⠀⠀⠀
⠁⠝⠁⠎⠓⠑⠙⠊⠁⠎⠍⠐⠚⠝⠀⠅⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠎⠽⠍⠏⠇⠜⠗⠚⠍⠁⠞⠊⠅⠐⠚⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠁⠗⠑⠍⠃⠐⠁⠎⠑⠚⠝⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠜⠀⠏⠗⠕⠞⠩⠝⠐⠕⠍⠑⠝⠜⠀⠍⠐⠑⠹⠕⠙⠕⠎⠀⠀
⠍⠏⠕⠗⠑⠐⠊⠀⠝⠁⠀⠑⠋⠁⠗⠍⠕⠎⠞⠑⠐⠊⠀⠅⠣⠀⠀⠀⠀
⠁⠏⠕⠅⠇⠩⠎⠞⠊⠅⠐⠁⠀⠁⠏⠐⠕⠀⠐⠑⠝⠁⠀⠀⠀⠀⠀⠀⠀
⠐⠁⠞⠕⠍⠕⠂⠀⠁⠝⠀⠅⠣⠀⠏⠗⠕⠞⠑⠐⠊⠝⠑⠞⠣⠀⠜⠀⠀
⠎⠐⠽⠎⠞⠁⠎⠜⠀⠕⠇⠊⠛⠕⠍⠑⠇⠕⠐⠽⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠑⠙
⠕⠍⠐⠁⠙⠁⠎⠂⠀⠞⠥⠇⠐⠁⠓⠊⠎⠞⠕⠝⠀⠞⠗⠊⠐⠚⠝⠀⠀
⠀⠉⠀⠀⠑⠏⠊⠹⠑⠚⠗⠜⠞⠐⠚⠝⠂⠀⠪⠀⠕⠏⠕⠐⠊⠪⠀⠹⠁
⠑⠗⠛⠁⠎⠞⠕⠐⠽⠝⠀⠎⠽⠇⠇⠕⠛⠊⠅⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠅⠩⠍⠐⠑⠝⠥⠀⠝⠁⠀⠑⠏⠊⠞⠱⠓⠹⠕⠐⠽⠝⠀⠏⠊⠕
⠁⠝⠞⠊⠅⠩⠍⠑⠝⠊⠅⠐⠁⠀⠅⠣⠀⠁⠭⠊⠐⠕⠏⠊⠎⠞⠁⠀⠀
⠁⠏⠕⠞⠑⠇⠐⠑⠎⠍⠁⠞⠁⠀⠅⠣⠀⠏⠊⠕⠀⠛⠗⠐⠜⠛⠕⠗⠁
⠀⠁⠝⠐⠁⠇⠕⠛⠁⠀⠍⠑⠀⠞⠕⠀⠑⠐⠽⠗⠕⠎⠀⠞⠜⠎⠀⠀⠀
⠏⠑⠗⠊⠕⠓⠐⠜⠎⠀⠙⠊⠁⠙⠗⠕⠍⠐⠜⠎⠀⠅⠣⠀⠞⠕⠀⠀⠀
⠑⠏⠊⠹⠽⠍⠜⠞⠐⠕⠀⠀⠃⠐⠁⠹⠕⠎⠦⠀⠞⠜⠎⠀⠀⠀⠀⠀⠀
⠁⠭⠊⠕⠇⠐⠕⠛⠜⠎⠜⠎⠀⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠑⠝⠞⠕⠐⠽⠞⠪⠎⠂⠀⠑⠏⠊⠎⠜⠍⠁⠐⠊⠝⠕⠝⠞⠣⠀⠀
⠞⠁⠀⠏⠁⠗⠁⠅⠐⠁⠞⠚⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠁⠝⠐⠁⠇⠕⠛⠁⠀⠍⠑⠀⠞⠊⠎⠀⠁⠝⠐⠁⠛⠅⠑⠎⠂
⠞⠕⠝⠀⠎⠅⠕⠏⠐⠕⠀⠅⠣⠀⠞⠕⠀⠑⠐⠽⠗⠕⠎⠀⠅⠐⠁⠹⠑
⠁⠭⠊⠕⠇⠐⠕⠛⠜⠎⠜⠎⠂⠀⠓⠗⠩⠐⠁⠵⠑⠞⠣⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠎⠑⠅⠞⠊⠅⠐⠜⠀⠏⠗⠕⠑⠞⠪⠍⠁⠎⠐⠊⠁⠀⠛⠊⠁⠀
⠞⠜⠀⠎⠽⠍⠏⠇⠐⠜⠗⠚⠎⠜⠀⠅⠣⠀⠑⠞⠪⠍⠁⠎⠐⠊⠁⠀⠀
⠞⠚⠝⠀⠏⠗⠕⠅⠁⠞⠁⠗⠞⠊⠅⠐⠚⠝⠀⠋⠐⠽⠇⠇⠚⠝⠀⠀⠀
⠀⠋⠐⠽⠇⠇⠁⠀⠀⠁⠀⠀⠀⠅⠣⠀⠞⠜⠝⠀⠑⠏⠊⠇⠕⠛⠐⠜⠀
⠞⠚⠝⠀⠁⠏⠁⠗⠁⠐⠊⠞⠜⠞⠚⠝⠀⠋⠐⠽⠇⠇⠚⠝⠀⠀⠀⠀⠀
⠑⠇⠐⠑⠛⠓⠥⠀⠀⠋⠐⠽⠇⠇⠁⠀⠀⠃⠀⠀⠲⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠑⠅⠞⠊⠍⠐⠁⠞⠣⠀⠐⠕⠞⠊⠀⠹⠁⠀⠐⠜⠞⠁⠝⠀⠀
⠐⠊⠎⠚⠎⠀⠓⠗⠐⠜⠎⠊⠍⠜⠀⠜⠀⠙⠜⠍⠊⠥⠗⠛⠐⠊⠁⠀⠀
⠅⠣⠀⠍⠊⠁⠎⠀⠎⠽⠝⠞⠕⠍⠱⠍⠐⠑⠝⠜⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠐⠑⠅⠙⠕⠎⠜⠎⠀⠞⠥⠀⠎⠽⠎⠞⠐⠜⠍⠁⠞⠕⠎⠀⠀⠍⠑⠀⠀
⠇⠊⠛⠐⠕⠞⠑⠗⠁⠀⠋⠐⠽⠇⠇⠁⠂⠀⠑⠗⠚⠞⠐⠜⠎⠩⠎⠂⠀
⠅⠲⠇⠏⠲⠀⠀⠜⠀⠕⠏⠕⠐⠊⠁⠀⠹⠁⠀⠑⠐⠊⠝⠣⠀⠏⠊⠕⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠑⠑
⠏⠗⠁⠅⠞⠊⠅⠐⠜⠀⠛⠊⠁⠀⠍⠊⠅⠗⠐⠜⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠅⠇⠐⠊⠍⠁⠅⠁⠎⠀⠑⠇⠐⠑⠛⠓⠥⠎⠀⠀⠎⠐⠽⠝⠞⠕⠍⠑⠎
⠙⠊⠁⠙⠗⠕⠍⠐⠑⠎⠀⠍⠑⠀⠏⠑⠗⠊⠕⠗⠊⠎⠍⠐⠑⠝⠕⠀⠀
⠁⠗⠊⠹⠍⠐⠕⠀⠎⠞⠪⠓⠑⠐⠊⠚⠝⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠭⠕⠏⠇⠊⠎⠍⠐⠚⠝⠂⠀⠅⠲⠇⠏⠲⠀⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠞⠁⠀⠋⠐⠽⠇⠇⠁⠀⠎⠞⠜⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠽⠋⠊⠎⠞⠐⠁⠍⠑⠝⠜⠀⠍⠕⠗⠋⠐⠜⠀⠞⠥⠎⠀⠀⠀⠀⠀⠀⠀
⠀⠐⠑⠝⠞⠽⠏⠜⠀⠂⠀⠁⠝⠐⠁⠇⠕⠛⠁⠀⠍⠑⠀⠞⠕⠀⠀⠀⠀
⠏⠇⠐⠜⠹⠕⠎⠀⠞⠥⠎⠀⠀⠞⠕⠀⠕⠏⠕⠐⠊⠕⠀⠀⠀⠀⠀⠀⠀
⠑⠭⠁⠗⠞⠐⠁⠞⠣⠀⠁⠏⠐⠕⠀⠞⠕⠀⠑⠐⠽⠗⠕⠎⠀⠞⠚⠝⠀
⠽⠏⠕⠙⠕⠍⠐⠚⠝⠂⠀⠞⠚⠝⠀⠑⠭⠕⠏⠇⠊⠎⠍⠐⠚⠝⠂⠀⠀
⠞⠚⠝⠀⠙⠊⠁⠎⠞⠡⠗⠐⠚⠎⠑⠚⠝⠀⠎⠞⠜⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠁⠙⠗⠕⠍⠐⠜⠂⠀⠞⠥⠀⠁⠗⠊⠹⠍⠕⠐⠽⠀⠞⠚⠝⠀⠀⠀
⠩⠎⠐⠕⠙⠚⠝⠀⠑⠭⠐⠕⠙⠚⠝⠂⠀⠅⠲⠇⠏⠲⠀⠂⠀⠀⠀⠀⠀
⠍⠏⠕⠗⠑⠐⠊⠀⠝⠁⠀⠙⠽⠎⠅⠕⠇⠐⠑⠯⠩⠀⠞⠥⠎⠀⠀⠀⠀
⠑⠏⠊⠹⠑⠚⠗⠜⠞⠐⠑⠎⠀⠚⠎⠀⠏⠗⠕⠎⠀⠞⠜⠝⠀⠀⠀⠀⠀
⠙⠊⠁⠓⠑⠐⠊⠗⠊⠎⠜⠀⠅⠣⠀⠎⠽⠍⠏⠇⠐⠜⠗⠚⠎⠐⠜⠀⠀
⠞⠥⠎⠀⠎⠞⠕⠀⠏⠑⠙⠐⠊⠕⠲⠀⠚⠎⠀⠑⠅⠀⠞⠕⠐⠽⠞⠥⠂
⠅⠗⠐⠊⠝⠑⠞⠣⠀⠐⠕⠞⠊⠀⠜⠀⠙⠜⠍⠊⠥⠗⠛⠐⠊⠁⠀⠀⠀
⠍⠊⠁⠎⠀⠜⠇⠑⠅⠞⠗⠕⠝⠊⠅⠐⠜⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠑⠋⠁⠗⠍⠕⠛⠐⠜⠎⠂⠀⠚⠎⠀⠯⠜⠋⠊⠁⠅⠐⠜⠀⠀⠀⠀⠀⠀
⠐⠑⠅⠙⠕⠎⠜⠀⠞⠥⠀⠎⠽⠎⠞⠐⠜⠍⠁⠞⠕⠎⠀⠀⠀⠀⠀⠀⠀
⠁⠭⠊⠕⠇⠐⠕⠛⠜⠎⠜⠎⠂⠀⠜⠀⠕⠏⠕⠐⠊⠁⠀⠹⠁⠀⠀⠀⠀
⠑⠏⠊⠞⠗⠐⠑⠏⠩⠀⠞⠜⠀⠎⠓⠑⠙⠐⠊⠁⠎⠜⠀⠅⠣⠀⠞⠜⠀
⠙⠊⠑⠭⠁⠛⠚⠛⠐⠜⠀⠐⠕⠇⠜⠎⠀⠞⠜⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠊⠁⠙⠊⠅⠁⠎⠐⠊⠁⠎⠀⠍⠐⠑⠎⠚⠀⠞⠁⠃⠇⠑⠞⠂⠀⠀⠀
⠎⠽⠍⠏⠑⠗⠊⠇⠁⠍⠃⠁⠝⠕⠍⠐⠑⠝⠥⠀⠞⠜⠎⠀⠀⠀⠀⠀⠀
⠅⠁⠞⠁⠛⠗⠁⠋⠐⠜⠎⠀⠁⠏⠕⠹⠐⠜⠅⠱⠎⠜⠎⠀⠞⠚⠝⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠑⠋
⠍⠑⠞⠗⠐⠜⠎⠑⠚⠝⠀⠅⠣⠀⠞⠚⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠋⠚⠞⠕⠛⠗⠁⠋⠊⠐⠚⠝⠀⠑⠏⠐⠊⠀⠞⠐⠕⠏⠥⠀⠎⠞⠕⠀⠀
⠏⠑⠙⠐⠊⠕⠲⠀⠎⠜⠍⠁⠝⠞⠊⠅⠐⠁⠀⠎⠞⠪⠓⠑⠐⠊⠁⠀⠀
⠏⠇⠑⠕⠝⠐⠑⠅⠞⠜⠍⠁⠀⠡⠞⠐⠜⠎⠀⠞⠜⠎⠀⠀⠀⠀⠀⠀⠀
⠑⠋⠁⠗⠍⠕⠛⠐⠜⠎⠀⠹⠁⠀⠑⠐⠊⠝⠣⠀⠜⠀⠀⠀⠀⠀⠀⠀⠀
⠙⠽⠝⠁⠞⠐⠕⠞⠜⠞⠁⠀⠐⠁⠍⠑⠎⠜⠎⠀⠑⠭⠁⠛⠚⠛⠐⠜⠎
⠍⠐⠕⠝⠕⠀⠞⠚⠝⠀⠁⠏⠁⠗⠁⠐⠊⠞⠜⠞⠚⠝⠀⠀⠀⠀⠀⠀⠀
⠋⠐⠽⠇⠇⠚⠝⠀⠛⠊⠁⠀⠞⠜⠝⠀⠅⠐⠁⠹⠑⠀⠀⠀⠀⠀⠀⠀⠀
⠏⠑⠗⠐⠊⠏⠞⠚⠎⠜⠂⠀⠜⠀⠱⠅⠕⠇⠐⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠕⠗⠛⠐⠁⠝⠚⠎⠜⠎⠀⠅⠣⠀⠙⠊⠁⠍⠪⠗⠁⠎⠍⠕⠐⠽⠀⠀⠀
⠞⠜⠎⠀⠏⠇⠜⠗⠕⠋⠕⠗⠐⠊⠁⠎⠂⠀⠅⠣⠀⠜⠀⠀⠀⠀⠀⠀⠀
⠱⠅⠕⠇⠐⠊⠁⠀⠑⠭⠁⠛⠚⠛⠐⠜⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠡⠞⠕⠍⠁⠞⠕⠏⠪⠜⠍⠐⠑⠝⠚⠝⠀⠑⠅⠹⠐⠑⠎⠑⠚⠝⠀⠅⠣
⠁⠝⠁⠋⠕⠗⠐⠚⠝⠀⠀⠃⠇⠲⠀⠙⠐⠜⠇⠚⠎⠜⠀⠀⠀⠀⠀⠀⠀
⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠎⠂⠀⠏⠗⠕⠋⠐⠊⠇⠀⠀⠀⠀
⠏⠗⠕⠎⠃⠁⠎⠊⠍⠐⠕⠞⠜⠞⠁⠎⠂⠀⠇⠐⠊⠎⠞⠑⠎⠀⠍⠑⠀
⠎⠜⠍⠑⠐⠊⠁⠀⠵⠜⠞⠐⠜⠍⠁⠞⠁⠀⠏⠥⠀⠓⠗⠐⠊⠵⠥⠝⠀
⠃⠑⠇⠞⠊⠐⠚⠎⠩⠎⠂⠀⠅⠲⠇⠏⠲⠀⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠜⠀⠏⠗⠐⠁⠭⠜⠀⠎⠽⠛⠓⠗⠜⠍⠁⠞⠕⠙⠕⠞⠑⠐⠊⠞⠣
⠁⠏⠐⠕⠀⠞⠕⠀⠱⠗⠚⠏⠁⠐⠊⠅⠐⠕⠀⠞⠁⠍⠑⠐⠊⠕⠀⠀⠀
⠏⠑⠗⠊⠋⠑⠗⠩⠁⠅⠐⠜⠎⠀⠁⠝⠐⠁⠏⠞⠽⠭⠜⠎⠀⠅⠣⠀⠀
⠁⠏⠐⠕⠀⠑⠹⠝⠊⠅⠕⠐⠽⠎⠀⠏⠐⠕⠗⠥⠎⠀⠞⠚⠝⠀⠀⠀⠀
⠓⠚⠗⠐⠚⠝⠀⠏⠥⠀⠎⠽⠍⠍⠑⠞⠐⠑⠓⠥⠝⠀⠎⠞⠕⠀⠀⠀⠀
⠏⠗⠐⠕⠛⠗⠁⠍⠍⠁⠀⠙⠊⠁⠎⠽⠝⠕⠗⠊⠁⠅⠐⠜⠎⠀⠀⠀⠀
⠎⠽⠝⠑⠗⠛⠁⠎⠐⠊⠁⠎⠀⠀⠊⠝⠞⠑⠗⠗⠑⠛⠀⠧⠀⠁⠀⠀⠀
⠑⠇⠇⠐⠁⠙⠁⠀⠃⠥⠇⠛⠁⠗⠐⠊⠁⠀⠼⠃⠚⠁⠙⠀⠀⠀⠀⠀⠀
⠃⠚⠃⠚⠦⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠑⠛