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Let \( n \) be a positive integer. Let
\[
A=\sum_{k=0}^{n}(-1)^{k} n_{C_{k}}\left[\left(\frac{1}{2}\right)^{k}+\left(\frac{3}{4}\right)^{k}+\left(\frac{7}{8}\right)^{k}+\left(\frac{15}{16}\right)^{k}+\left(\frac{31}{32}\right)^{k}\right]
\]
\( \mathrm{P} \)
WV
If \( 63 A=1-\frac{1}{2^{30}} \), then \( n \) is equal to
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