Children's hukou is in the northeast. Can they go to high school or even college in Yantai?

I also went to school in Yantai, Northeast China. At that time, I didn't have an account to borrow money, and it was very high. Later, I moved my account directly. As a result, I had to take the college entrance examination here. The college entrance examination stipulates that you must take part in the household registration. In other words, it is ok to study in Yantai now, and there should be no borrowing fee now, but you must go back to the college entrance examination. Moreover, in order to restrict the immigration of college entrance examination, it seems that the state stipulates that you must live in the place where your household registration is located for more than three years and study in high school for more than two years before you can take the college entrance examination in the place where your household registration is located.