Vietnam is beautiful

Let set \(B =\left\{ V,I,E,T,N,A,M \right\} \) with \(V,I,E,T,N,A,M\) are 7 positive whole numbers.

If \(V+I+E+T+N+A+M=2016\) and the set \(R =\left\{ \frac { V+I }{ 2 } ,\frac { I+E }{ 2 } ,\frac { E+T }{ 2 } ,\frac { T+N }{ 2 } ,\frac { N+A }{ 2 } ,\frac { A+M }{ 2 } ,\frac { M+V }{ 2 } \right\} \) is a permutation of set \(B \), what is the value of \(M\)?

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