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Let the set of all values of $$p$$, for which $$f(x) = (p^2 - 6p + 8)(\sin^2 2x - \cos^2 2x) + 2(2 - p)x + 7$$ does not have any critical point, be the interval $$(a, b)$$. Then $$16ab$$ is equal to ________
Correct Answer: 252
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