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$\begin{aligned} A&=&2000\\ \\ B&=&A-999\\ \\ C&=&A+B-998\\ \\ D&=&A+B+C-997\\ & \vdots & \\ Z&=&A+B+C+...+Y-975 \end{aligned}$

How much is $\frac { Z+1 }{ { 2 }^{ 25 } } ?$

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