Level
pending

If \(N\) is the number of real solutions of \(x\) in the interval \([0, \pi] \) that satisfy the equation\( \sin^{-1} \left ( \sin (2014x) \right) = \cos^{-1} \left ( \cos (x) \right ) \)

And \(N= 2^A \times 3^B \times 5^C \times 7^D \) for non-negative integers \(A,B,C,D\). What is the value of \(A+B+C+D\)?

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