Ordinary show: Troubled bad boy is redeemed by the love of a good woman. The woman is captured and he proves his love (and manliness) by rescuing her.
Person of Interest: Troubled bad girl is redeemed by the love of a sociopathic woman (and the friendship of a geek and a former government hitman). The woman is captured and the bad girl proves her love by never giving up on her while the woman proves her awesomeness by rescuing herself.
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