Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2(3|(-2cos(1π(-3x + 1) + 2) + 3)|)^2 + 2(3|(-2cos(1π(-3x + 1) + 2) + 3)|) + 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}
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