Public schools are also divided into ordinary high schools and missionary high schools.
Semi-private should be regarded as the best high school that ordinary people can attend. You can get high-quality teaching with little money. However, there are very few semi-private, half of the money is paid by the state, and the rest is raised by the people. Admission is by lottery. Note that it is not an exam, but a lottery.
Private ones are the best, but they are expensive. If you bring accommodation, it is simply too expensive. Private schools are better for preparatory courses. They are a bit like our high school. They compressed the three-year course into one year and then studied it three times. Children of all ages have classes in a big classroom. There are only a handful of such high schools, but they are also considered to be the most efficient.