Let $f$ be a permutation on the set $\lbrace 1, 2, 3, 4, 5, 6, 7, 8, 9 \rbrace$, defined as follows

(a) Write $f$ as a product of transpositions (not necessarily disjoint), separated by commas (e.g. $( 1, 2 ), ( 2, 3 ), \ldots$ ).

$f =$

(b) Write $f^{-1}$ as a product of transpositions in the same way.

$f^{-1} =$