Create a Huffmann tree and code for an alphabet with the following frequencies

A $=0\mathrm{.}17$ B $=0\mathrm{.}15$ E $=0\mathrm{.}3$

H $=0\mathrm{.}05$ P $=0\mathrm{.}13$ Y $=0\mathrm{.}11$ space $=0\mathrm{.}09$

Then encode the word $$PAYEE$.$