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If cos^(-1)(x) + cos^(-1) (y) + cos^(-1)...

If `cos^(-1)(x) + cos^(-1) (y) + cos^(-1) (z) = pi (sec^(2)(u) + sec^(4) (v) + sec^(6) (w))`, where u,v, w are least
non-negative angles such that `u lt v lt w`, then the value of `x^(2000) + y ^(2002) + z ^(2004)+(36pi)/(u +v+w) ` is .............

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