Read Patterson v$.$ New York, $432$ U$.$S$.197(1977).$ In Patterson, the defendant was on trial for murder. New York law reduced murder to manslaughter if the defendant proved extreme emotional disturbance to a preponderance of evidence. Did the US Supreme Court hold that it is constitutional to put this burden on the defense, rather than forcing the prosecution to disprove extreme emotional disturbance beyond a reasonable doubt? Which part of the Constitution did the Court analyze to justify its holding?