Merica!

HAWAIIIDAHOIOWA+OHIOSTATES \begin{array} { l l l l l l } & H & A & W & A & I & I \\ & & I & D & A & H & O \\ & & & I & O & W & A \\ + & & & O & H & I & O \\ \hline & S & T & A & T & E & S \\ \end{array}

In the above expression, each letter stands for a single unique digit. Calculate AEIOHWDST\overline{AEIOHWDST}.

Details and Assumptions

  • None of the word starts with 00.
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