Tuesday’s Highlights

SERIES

American Idol: The 12 finalists perform songs from the Rolling Stones in this new episode (8 p.m. Fox).

Justified: When he is reassigned to his Kentucky hometown, a gunslinging U.S. Marshal (Timothy Olyphant) confronts an old friend (Walton Goggins) in the premiere of this new series (10 p.m. FX).

Life After People: This new episode considers how the White House, Monticello and Versailles would fare without their human caretakers (10 p.m. History).

Marriage Under Construction: This new weekly series follows newlyweds Natalie and Rodney as they purchase, renovate and decorate a new home (11 p.m. HGTV).

Love Games: Bad Girls Need Love Too: Contestants begin a series of challenges, dates and eliminations while searching for Mr. Right in this unscripted series (11 p.m. Oxygen).

SPECIALS

Treasure Tomb of the Warrior Queen: Archaeologists uncover extraordinary secrets about China’s Shang dynasty, and explore the tomb of legendary warrior queen Fu Hao (5 and 8 p.m. National Geographic).

Samurai: Martial-arts champ Mark Dacascos trains in the weaponry and wisdom of Japan’s great warriors and explores the story of the most-famous samurai in history (8 p.m. History).

MOVIES

Tropic Thunder: In this 2008 moviemaking spoof, Ben Stiller, Jack Black and Robert Downey Jr. play actors who land in the midst of an actual conflict while making a war adventure in Southeast Asia. Danny McBride, Nick Nolte and Tom Cruise also star (6 p.m. Cinemax).

SPORTS

College basketball: NIT first round (4, 6 and 8 p.m. ESPN2; 6:30 p.m. ESPN). NCAA Tournament opening round (4:30 p.m. ESPN).

Pro basketball: The Lakers visit the Sacramento Kings (7 p.m. KCAL).