If \( 1^{2}+2^{2}+3^{2}+\ldots \ldots+2003^{2}=(2003)(4007)(334) \)...

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If \( 1^{2}+2^{2}+3^{2}+\ldots \ldots+2003^{2}=(2003)(4007)(334) \) and
(1) \( (2003)+(2)(2002)+(3)(2001)+\ldots . .+(2003)(1)=(2003)(334)(x) . \), then \( x \) equals
\( \mathrm{P} \)
(A) 2005
(B) 2004
(C) 2003
(D) 2001
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