$(10$ points$)$ Use Huffman coding to encode these symbols with given frequencies: $a$:$20,b$:$10,c$ : $15,$ d: $25,$ and e: $30.$ Create the Huffman Code binary tree and the Huffman table that represents the binary code for each character. Show all your drawings, step by step to get full credit for the Huffman Code tree. Showing just the answer will give you $4$ points.

$\backslash$table$[[b,c,a,d,e$

Please do it this way and complete thanks