New Year Cryptogram

Logic Level 1

\[ \large{\begin{array}{ccccccc} && & & & N & E&W & 1&7\\ +&& & & & N & E&W & 1&8\\ \hline && & & 1& 5 &7&2 &3 & 5\\ \hline \end{array}} \]

The above shows a cryptogram, with each letter representing a distinct single digit non-negative integer with \(N,E,W > 0\)

What is N + E + W ?

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