Doctor Who (1963): While the Doctor struggle to complete the Trilogic Game in the minimum number of moves permitted, Steven and Dodo compete against the King and Queen of Hearts to determine which one of seven chairs is safe, when the other six are lethal.
Elisabeth Sladen, Frazer Hines, Jacqueline Hill, John Levene, John Scott Martin, Jon Pertwee, Katy Manning, Nicholas Courtney, Pat Gorman, Patrick Troughton, Peter Davison, Tom Baker, William Hartnell, William Russell
Adventure, Drama, Sci-Fi
Maybe also available here.