用伪码表示Huffman 树构造算法
时间: 2024-11-10 10:25:18 浏览: 26
Huffman树(也称最优二叉树或霍夫曼树)是一种用于数据压缩的自底向上的贪心算法。以下是使用伪码表示的基本构建过程:
```pseudo
function buildHuffmanTree(freqs):
if freqs is empty:
return null (空节点表示叶子节点,频率为0)
sort freqs by frequency in ascending order
create two new nodes with frequencies as their weights
newNode1 = Node(freq1 of the first pair)
newNode2 = Node(freq2 of the second pair)
T = PriorityQueue()
insert newNode1 into T
insert newNode2 into T
while T has more than one element:
minNode1 = remove minimum node from T
minNode2 = remove minimum node from T
combineNodes(minNode1, minNode2) // 创建一个新的节点,其频率等于两个节点的频率之和
newWeight = minNode1.frequency + minNode2.frequency
newNode = Node(newWeight)
insert newNode into T
return last node in T (即最小频次的节点,就是根节点)
// combineNodes 函数
function combineNodes(node1, node2):
newNode = Node(node1.weight + node2.weight)
newNode.left = node1
newNode.right = node2
return newNode
```
这个伪代码描述了如何通过不断合并频率最低的两个节点创建Huffman树的过程,直到只剩下一个节点为止。
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