In the addition problem 
\[ \setlength{\tabcolsep}{1mm}\begin{tabular}{cccccc}& W & H & I & T & E\\ + & W & A & T & E & R \\\hline P & I & C & N & I & C\end{tabular} \] each distinct letter represents a diﬀerent digit. Find the number represented by the answer PICNIC.

Let's think step by step and output the final answer within \boxed{}.
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