⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⢅⡕⣀⡄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠖⠉⢟⠃⡵⢂⠬⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⠀⡁⠈⠀⢌⠡⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⢁⠘⠊⠀⠀⠨⠉⠈⠳⣠⡀⠄⠀⠀⠀⢁⠀⡔⠫⠍⠁⠑⠈⠁⠠⡀⠉⡁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⡂⡉⠁⠁⠀⠀⠀⠀⠀⠀⠐⠁⡋⡀⠔⡄⡑⡱⠁⠀⠀⠀⠀⠀⠀⠉⠠⠈⠁⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠬⢸⠒⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡲⣟⢶⠎⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠒⠔⡀⠀⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡒⣖⣅⣙⡽⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠍⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⢳⡲⡟⡻⢿⣯⡉⣂⢐⠠⠀⠀⠀⠀⠀⢁⡀⠠⡁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⢀⠁⡀⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡂⢕⢿⠅⠃⠡⠀⢽⡆⡒⠂⠀⠀⠅⠠⣄⢄⢁⢌⢚⡍⣲⡀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡀⠁⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠀⠿⣥⣧⠄⠀⠁⠅⢘⢹⡃⡞⠅⠡⣶⢛⡣⠝⠑⠂⠃⢃⡟⣝⡚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠕⢠⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢐⠏⢦⣫⢇⠄⠀⠀⢊⠜⢵⢰⡥⣓⣁⡓⠀⠁⠀⠀⠀⡀⠐⠟⡟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠁⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠠⠄⢨⣾⡯⠁⠀⠀⠁⡊⢿⣏⡽⠍⢫⡀⠀⠀⠀⠀⠀⠐⠣⠖⢅⢌⠁⠀⠀⠀⠀⠀⠀⠀⠉⡐⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠠⠀⠆⠬⣭⡒⠀⠀⠀⡀⠬⠿⠻⠰⠭⠀⠠⠄⠀⠀⠀⡃⠻⠭⡇⠂⠀⠀⠀⠀⠀⠀⠀⠐⠀⡨⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⢀⠀⠱⡮⡄⠌⠀⠀⢀⠀⠒⠁⠀⡀⠀⠀⠂⠂⠈⠈⢤⣪⠂⠁⠄⠠⠀⠀⠀⠀⠂⡠⢊⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠄⠑⠀⠁⠐⣢⠯⠁⠀⠀⠀⠀⢀⠀⠁⠀⡐⠡⡈⠁⣡⣋⡔⠁⠈⠀⠀⡀⠀⠀⢀⠀⡐⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⣃⠧⠄⣁⠁⡀⠀⠀⠀⠂⠠⠀⡠⠆⠄⣿⢏⢓⠂⡀⠀⠀⠀⠀⠀⠀⠆⣋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡄⠂⠁⢛⡊⢎⢄⠀⠀⠀⠀⠀⠀⠀⢈⡡⠴⠅⡒⡪⠴⡁⠅⠁⢀⠀⣁⣟⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⡀⠢⣟⡙⠄⠁⢀⠀⠀⠀⠀⠈⡖⡛⡇⠥⠈⢐⢡⠓⣗⠪⣥⢽⡃⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⠘⢀⠁⢋⡏⡐⢀⠡⠀⠀⠴⢃⠢⠁⠂⠀⢀⠅⠀⠀⠲⣄⠔⠁⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⡀⠀⠄⢀⠇⢏⠆⠄⡐⣲⢖⡅⠗⠅⠁⠐⠂⠀⠀⠀⠈⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠅⠀⠀⢀⠅⢟⣾⠞⡄⡀⠺⡅⡒⠢⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠉⠓⠧⡽⠟⠃⠈⠡⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⠀⠀⠀⠈⠡⡁⢮⢏⣁⡉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀