The shortest lived known head of state is Jean I of France who ruled and lived for five days in 1316.
When Charles John Davids proposed to Madison Al Newert 3/4/1884 somewhere in Africa.
And when Jesus Christ said good morrow to James Heartyfult 19/6/2004.
Just off the top of my head.
This came to be known as the American System developed by Henry Clay
Executive and legislative are elected by the people. Judicial is appointed by the president and approved by the senate.