Columbo often plays a kind of chess game with his opponents, but this time his adversary is an actual chess champion.
Emmett Clayton (Laurence Harvey, with echoes of his tormented character in "The Manchurian Candidate") has a nightmare before an important chess match, a nightmare the director helpfully visualizes for us as a giant fog-filled chess board, on which Clayton and his opponent are chess pieces. Clearly, he's worried about his match with Tomlin Dudek (Jack Kruschen, who looks a bit like Captain Kangaroo), a kindly old fat Russian. Later, the two meet, not coincidentally, in a French restaurant, where they begin using the salt and pepper shakers and other objects on the table as chess pieces. The game continues in Clayton's apartment secretly, because both Dudek's doctor and his coach would throw fits if they knew the diabetic Russian was out late, eating rich foods with his opponent. Clayton loses the impromptu game and has a nervous fit, from which Dudek tries to calm him down.
Meanwhile, Columbo appears before there's even a murder: Dudek's coach had panicked and called the police when the champion didn't show up in his hotel room on time. So Columbo is aware of this man even before something serious happens.
The next day something does. Clayton decides he must murder Dudek before the match. He concocts a scheme that makes it look as if Dudek met with an untimely accident in the hotel's trash compactor. But our rumpled and seemingly disorganized Lt. Columbo is on the case.
Clayton makes for an interesting adversary. He refuses to play along with Columbo's pretense, forcing our resourceful detective into some quicksilver improvisation. Clayton won't pretend for a moment that Columbo is just interested in clearing a few things up, and he calls him on it immediately. He also won't stand for Columbo's usual forgetful routine. Wonderfully, he demonstrates his own superior memory in a way I'll leave for you to discover. Clayton is also nearly deaf, a handicap that has both unusual advantages and unexpected perils.
The script is not as quite as sure and deft as the great "Columbo" episodes, like "Murder by the Book" and "A Stitch in Crime." But it comes very close. I particularly loved the scene where Clayton plays chess with a series of fawning opponents as Columbo grills him. And then there's the ending, which is very satisfactory. This is a must-see for "Columbo" fans and good entertainment for anyone else.