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If cos^(-1)(x)+cos^(-1)(y)+cos^(-1)(z)=p...

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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