Kazuha has two strings $S_1$ and $S_2$ consisting of lowercase letters "$a$", "$b$" and "$c$", here are the possible operations:
Add or Delete "$aa$" at any place of the string.
Add or Delete "$bbb$" at any place of the string.
Add or Delete "$cccc$" at any place of the string.
Add or Delete "$abababab$" at any place of the string.
Add or Delete "$acacac$" at any place of the string.
Add or Delete "$bcbc$" at any place of the string.
Add or Delete "$abc$" at any place of the string.
Kazuha can operate any time with any operations, determine if $S_1$ can be transformed into $S_2$ .