Stephen King wrote the novella Rita Hayworth and Shawshank Redemption on which the 1994 movie The Shawshank Redemption is based. It appears with three other novellas in a book called "Different Seasons".
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Yes, "The Shawshank Redemption" movie is based on the Stephen King novella "Rita Hayworth and Shawshank Redemption" from his collection "Different Seasons."
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"Rita Hayworth and The Shawshank Redemption" was published in Stephen King's novella collection "Different Seasons."