\begin{tabular}{c}\( a_{1}+b_{1}+c_{1}+d_{1}=2 \rightarrow(1) \) \\ \( a_{2}+b_{2}+c_{2}+d_{2}=2 \rightarrow(2) \) \\ \( 8 a_{2}+4 b_{2}+2 c_{2}+d_{2}=33 \rightarrow(3) \) \\ \( 8 a_{3}+4 b_{3}+2 c_{3}+d_{3}=33 \rightarrow(4) \) \\ \\ \( d_{1}=1 \rightarrow(5) \) \\ \( 27 a_{3}+9 b_{3}+3 c_{3}+d_{3}=244 \rightarrow(6) \) \\ \( 3 a_{1}+b_{1}+c_{1}=3 a_{2}+2 b_{2}+c_{2} \longrightarrow(7) \) \\ Again \( 12 a_{2}+4 b_{2}+c_{2}=12 a_{3}+4 b_{3}+c_{3} \) \\ \( 3 a_{1}+b_{1}=3 a_{2}+b_{2} \rightarrow(8) \) \\ \( 3 a_{2}+\frac{b_{2}}{2}=3 a_{3}+\frac{1}{2} \rightarrow(9) \) \\ \( b_{1}=0 \rightarrow(10) \) \\ Find value of \( a_{1}, b_{1}, c_{1}, a_{2}, b_{2}, c_{2}, d_{1}, d_{2}, d_{3} \) \\ \hline\end{tabular}
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