Construct a Huffman code for the symbols a through o$,$ Iisted below together with their probabilies.

Then determine the expected length of your resulting code!

a$.1/45$ b$.2/45$ c$.3/45$ d$.14/45$ e$.5/45$ f$\mathrm{.}6/45$ g$\mathrm{.}6/45$ h$.8/45$