WASHINGTON (AP) – The Supreme Court has ruled in favor of Kansas officials seeking to reinstate the death penalty for three men, including two brothers convicted in a crime spree known as the “Wichita massacre.”

In an 8-1 ruling, the justices say the Kansas Supreme Court was wrong to overturn the sentences of Jonathan and Reginald Carr, and Sidney Gleason, who was convicted in a separate case.

The state court said juries in both cases should have been told that evidence of the men’s troubled childhoods and other factors weighing against a death sentence didn’t have to be proved beyond a reasonable doubt. The lower court also had ruled that the Carr brothers should have been sentenced separately.

The Supreme Court says the Kansas court’s reasoning was flawed on both counts.