二叉树WPL计算的完整c++代码
时间: 2023-12-29 22:01:47 浏览: 188
二叉树C++代码
以下是二叉树WPL计算的完整C代码:
```
#include <stdio.h>
#include <stdlib.h>
typedef struct node {
int freq;
struct node *left, *right;
} Node;
typedef struct minHeap {
int size;
Node **nodes;
} MinHeap;
Node* newNode(int freq) {
Node *node = (Node *) malloc(sizeof(Node));
node->freq = freq;
node->left = node->right = NULL;
return node;
}
MinHeap* createMinHeap(int capacity) {
MinHeap *minHeap = (MinHeap *) malloc(sizeof(MinHeap));
minHeap->size = 0;
minHeap->nodes = (Node **) malloc(capacity * sizeof(Node *));
return minHeap;
}
void swapNode(Node **a, Node **b) {
Node *temp = *a;
*a = *b;
*b = temp;
}
void heapify(MinHeap *minHeap, int index) {
int smallest = index;
int left = 2 * index + 1;
int right = 2 * index + 2;
if (left < minHeap->size && minHeap->nodes[left]->freq < minHeap->nodes[smallest]->freq) {
smallest = left;
}
if (right < minHeap->size && minHeap->nodes[right]->freq < minHeap->nodes[smallest]->freq) {
smallest = right;
}
if (smallest != index) {
swapNode(&minHeap->nodes[smallest], &minHeap->nodes[index]);
heapify(minHeap, smallest);
}
}
int isSizeOne(MinHeap *minHeap) {
return (minHeap->size == 1);
}
Node* extractMin(MinHeap *minHeap) {
Node *node = minHeap->nodes[0];
minHeap->nodes[0] = minHeap->nodes[minHeap->size - 1];
--minHeap->size;
heapify(minHeap, 0);
return node;
}
void insertMinHeap(MinHeap *minHeap, Node *node) {
++minHeap->size;
int index = minHeap->size - 1;
while (index && node->freq < minHeap->nodes[(index - 1) / 2]->freq) {
minHeap->nodes[index] = minHeap->nodes[(index - 1) / 2];
index = (index - 1) / 2;
}
minHeap->nodes[index] = node;
}
void buildMinHeap(MinHeap *minHeap) {
int n = minHeap->size - 1;
for (int i = (n - 1) / 2; i >= 0; --i) {
heapify(minHeap, i);
}
}
int calculateWPL(Node *node, int depth) {
if (!node) {
return 0;
}
if (!node->left && !node->right) {
return node->freq * depth;
}
return calculateWPL(node->left, depth + 1) + calculateWPL(node->right, depth + 1);
}
int main() {
int n;
printf("Enter the number of nodes in the binary tree: ");
scanf("%d", &n);
MinHeap *minHeap = createMinHeap(n);
for (int i = 0; i < n; ++i) {
int freq;
printf("Enter frequency of node %d: ", i + 1);
scanf("%d", &freq);
Node *node = newNode(freq);
insertMinHeap(minHeap, node);
}
buildMinHeap(minHeap);
while (!isSizeOne(minHeap)) {
Node *left = extractMin(minHeap);
Node *right = extractMin(minHeap);
Node *node = newNode(left->freq + right->freq);
node->left = left;
node->right = right;
insertMinHeap(minHeap, node);
}
printf("The WPL of the binary tree is: %d", calculateWPL(minHeap->nodes[0], 0));
return 0;
}
```
此代码实现了最小堆数据结构,其中每个节点都有一个权重值。代码构造了一棵二叉树并计算了其WPL(带权路径长度)。请注意,此代码仅作为参考,您需要根据自己的需求进行修改。
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