Try to write an algorithm to Calculate the WPL of a Huffman Tree.
时间: 2024-01-13 16:03:10 浏览: 33
Here's the algorithm to calculate the Weighted Path Length (WPL) of a Huffman Tree:
1. Traverse the Huffman Tree in a depth-first manner.
2. At each leaf node, calculate the product of the node's weight and its depth (the number of edges from the root to the node).
3. Add up all the products calculated in step 2 to get the total WPL of the Huffman Tree.
Here's the Python implementation of the above algorithm assuming the Huffman Tree is stored as a dictionary where keys are the symbols and values are the Huffman codes:
```
def calculate_wpl(huffman_tree):
wpl = 0
stack = [(key, value, 0) for key, value in huffman_tree.items()]
while stack:
symbol, node, depth = stack.pop()
if isinstance(node, dict):
for child_symbol, child_node in node.items():
stack.append((child_symbol, child_node, depth+1))
else:
wpl += node * depth
return wpl
```
Note that the above implementation assumes that the leaf nodes of the Huffman Tree contain the symbol weights rather than the Huffman codes themselves. If the Huffman codes are stored in the leaf nodes instead, the code can be easily modified to take that into account.