identify this movie - Murder in eight different perspectives

You might want to check this movie which I bumped into on my netflix account. It's called Murder by Death. It's a movie where they have all fictional detective characters like Poirot and Miss Marple and 3 others whom I forgot compete to solve a crime. The guy in Columbo plays the principal role in that movie.

Edit: I think this is the movie you're looking for: Vantage Point.

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