Sum of the series \( S=1^{2}-2^{2}+3^{2}-4^{2}+\ldots . .-2002^{2}+ \) \( 2003^{2} \) is

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Sum of the series \( S=1^{2}-2^{2}+3^{2}-4^{2}+\ldots . .-2002^{2}+ \) \( 2003^{2} \) is
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