You aren't taking this seriously at all, are you?
The money spent on the health of the inmates only counts for actual professional medical attention, not what inmates poke each other with. The state isn't paying for them to tatoo each other with makeshift needles and ink.
And again: Second degree, Third degree homocide: You accidently kill someone on a shooting range. You're in a baseball stadium and killed by a home run ball. You finally say that it doesn't count if it was in self defense, and you don't take about accidental deaths.
Arson is done for the sake of causing property damage most of the time, not for killing someone.
And I don't think the japanese actually do that. Even if they did, they are an island nation anyway. That doesn't work for all of the nations and countries that don't live on an island or around them.