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soccan

$2^{10} \equiv -1\ (mod\ 25)\\
\longrightarrow 2^{100} \equiv 1\ (mod\ 25)\\
2^3 \equiv -1\ (mod\ 9)\\
\longrightarrow (2^3)^{33}.2 \equiv -2 \equiv 7\ (mod\ 9)$
 
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