【ZOJ3931 The 16th Zhejiang University Programming ContestE】【小根堆 哈夫曼树 DP】Exact Compression 建立哈弗曼树并编码0

Exact Compression

Time Limit: 2 Seconds       Memory Limit: 65536 KB

Huffman Code is a commonly used optimal prefix code. Here is a simple introduction to Huffman Coding from wikipedia.

The technique works by creating a binary tree of nodes. These can be stored in a regular array, the size of which depends on the number of symbols, S. A node can be either a leaf node or an internal node. Initially, all nodes are leaf nodes, which contain the symbol itself, the weight (frequency of appearance) of the symbol and optionally, a link to a parent node which makes it easy to read the code (in reverse) starting from a leaf node. Internal nodes contain symbol weight, links to two child nodes and the optional link to a parent node. As a common convention, bit '0' represents following the left child and bit '1' represents following the right child. A finished tree has up to n leaf nodes and n-1 internal nodes. A Huffman tree that omits unused symbols produces the most optimal code lengths.

The simpl

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