Create a Huffmann code for the following frequencies

A $=\mathrm{.}20$ M $=\mathrm{.}09$ U $=\mathrm{.}06$ S $=\mathrm{.}17$ E $=\mathrm{.}35$ R $=\mathrm{.}13$

Then encode the message USER and decode the message

$1101010100010000011.$

The result should be summer