What is the determinant of A?

\(A = \;\left| {\begin{array}{*{20}{c}} 3&1&1&1&1\\ 1&3&1&1&1\\ 1&1&3&1&1\\ 1&1&1&3&1\\ 1&1&1&1&3 \end{array}} \right|\)

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