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Conundrum is the twenty-second and twenty-third episodes of the fourteenth season of Dallas, and the three hundred fifty-sixth and three hundred fifty-seventh episodes overall.
Starring in Alphabetical Order: Patrick Duffy (Bobby Ewing), Kimberly Foster (Michelle Stevens) (credit only), Larry Hagman (J.R. Ewing), Howard Keel (Clayton Farlow) (credit only), George Kennedy (Carter McKay), Ken Kercheval (Cliff Barnes), Sasha Mitchell (James Beaumont) (credit only), Cathy Podewell (Cally Ewing), Barbara Stock (Liz Adams) (credit only), Sheree J. Wilson (April Stevens Ewing) (credit only)
Guest Stars: Kim Johnston Ulrich (Bootsie Ewing), Leslie Beavis (Jeanne Lawrence), Patrick Pankhurst (Jason Ewing), Barbara Rhoades (Judy), Richard Lineback (Eli), James Callahan (Mr. Smith), Anthony Addabbo (Jeff Peters-Sue Ellen's Agent), Katherine Justice (Alice Kingdom), Tricia O'Neil (Barbara Barnes), Rosalind Allen (Annie Ewing), Denise Gentile (Courtney), Katherine Cannon (Beth Krebbs), Teri Ann Linn (Kimberly Kavanaugh)
Co-Starring: Herman Poppe (Wally Ford), Jerry Potter (Bartender), Tony Auer (Ted), Edson Stroll (Charlie Haas), James Newell (Walter Kingdom), Robert Neches (Bob), Brioni Farrell (Alice Anne), Virginia Watson (Secretary), Dan Livingston (Edgar), Sylvia Brooks (Carol), Deborah Marie Taylor (Debbie), Christine Joan Taylor (Margaret)
Featuring: Gregory White (Kleever), Stephen Held (Young Man), John Mueller (Harry), Kim Delgado (Stage Manager), Wayne Chou (Gary's Houseboy), Conor Duffy (Little J.R.), Kate Horton (Little Ellie), David Katzman (Bobby, Jr.) Kenyon Moad (Cally's 3 Year Old), Mike Simmrin (Andy Krebbs), Nicolas Read (Cliff Barnes, Jr.), Michael Gonda (Cally's kid #1), Jonathan Gonda (Cally's kid #2), Tim Eyster (Jock Krebbs)