Welcome to Best of Late Night, a rundown of the previous night’s highlights that lets you sleep — and lets us get paid to watch comedy. If you’re interested in hearing from The Times regularly about great TV, sign up for our Watching newsletter and get recommendations straight to your inbox.

‘We Already Know How You React to Combat Situations’

President Trump said on Monday that he believed he would have run into the Florida high school where a gunman opened fire this month, even if he’d been unarmed. Stephen Colbert reacted with disbelief to that statement — then he bore down and reminded his audience that the president avoided military service during the Vietnam War.