Implement the Huffman Coding algorithm, analyze a text file, and print out the codes for each letter. Huffman coding is used as a way to encode data in such a way that the symbols that appear more frequently have a smaller code representation vs. ones that appear more infrequently. This is generally done by constructing a binary tree, where each link has a value 0 or 1.

Demonstrate the algorithm works by printing out the frequency of each letter along with its code with at least 5 examples.