完全二叉树的高度C语言
时间: 2023-12-31 13:25:01 浏览: 29
完全二叉树的高度可以通过递归的方式来计算。下面是一个用C语言实现的计算完全二叉树高度的函数:
```c
typedef struct tree_t {
tree_datatype data; // 数据域
struct tree_t *lchild; // 指向左子树的结构体指针
struct tree_t *rchild; // 指向右子树的结构体指针
} bitree_t;
int getHeight(bitree_t *root) {
if (root == NULL) {
return 0;
} else {
int leftHeight = getHeight(root->lchild);
int rightHeight = getHeight(root->rchild);
return (leftHeight > rightHeight) ? (leftHeight + 1) : (rightHeight + 1);
}
}
```
在上面的代码中,`getHeight`函数使用递归的方式计算完全二叉树的高度。如果根节点为空,则返回0;否则,分别计算左子树和右子树的高度,并返回较大的那个高度加1。
相关问题
完全二叉树判断c语言
以下是判断完全二叉树的C语言代码:
```c
#include <stdio.h>
#include <stdbool.h>
#define MAX_SIZE 100
// 定义二叉树结点
typedef struct TreeNode {
int val;
struct TreeNode *left;
struct TreeNode *right;
} TreeNode;
// 判断是否为完全二叉树
bool isCompleteTree(TreeNode* root) {
if (!root) {
return true;
}
// 定义队列
TreeNode* queue[MAX_SIZE];
int front = 0, rear = 0;
queue[rear++] = root;
bool flag = false; // 标记是否出现过空结点
while (front < rear) {
TreeNode* node = queue[front++];
if (!node->left) {
flag = true;
} else if (flag) {
return false;
} else {
queue[rear++] = node->left;
}
if (!node->right) {
flag = true;
} else if (flag) {
return false;
} else {
queue[rear++] = node->right;
}
}
return true;
}
int main() {
// 构造一棵完全二叉树
TreeNode node1 = {1, NULL, NULL};
TreeNode node2 = {2, NULL, NULL};
TreeNode node3 = {3, NULL, NULL};
TreeNode node4 = {4, NULL, NULL};
TreeNode node5 = {5, NULL, NULL};
TreeNode node6 = {6, NULL, NULL};
TreeNode node7 = {7, NULL, NULL};
node1.left = &node2;
node1.right = &node3;
node2.left = &node4;
node2.right = &node5;
node3.left = &node6;
node3.right = &node7;
if (isCompleteTree(&node1)) {
printf("This is a complete binary tree.\n");
} else {
printf("This is not a complete binary tree.\n");
}
return 0;
}
```
创建完全二叉树C语言
以下是创建完全二叉树的C语言代码示例:
```c
#include <stdio.h>
#include <stdlib.h>
#define MAX_SIZE 100
typedef struct TreeNode {
int data;
struct TreeNode *left; struct TreeNode *right;
} TreeNode;
typedef struct Queue {
TreeNode *data[MAX_SIZE];
int front, rear;
} Queue;
Queue *createQueue() {
Queue *queue = (Queue *)malloc(sizeof(Queue));
queue->front = queue->rear = 0;
return queue;
}
void enqueue(Queue *queue, TreeNode *node) {
if ((queue->rear + 1) % MAX_SIZE == queue->front) {
printf("Queue is full.\n");
return;
}
queue->data[queue->rear] = node;
queue->rear = (queue->rear + 1) % MAX_SIZE;
}
TreeNode *dequeue(Queue *queue) {
if (queue->front == queue->rear) {
printf("Queue is empty.\n");
return NULL;
}
TreeNode *node = queue->data[queue->front];
queue->front = (queue->front + 1) % MAX_SIZE;
return node;
}
TreeNode *createTree(int arr[], int size, int index) {
if (index >= size) {
return NULL;
}
TreeNode *node = (TreeNode *)malloc(sizeof(TreeNode));
node->data = arr[index];
node->left = createTree(arr, size, 2 * index + 1);
node->right = createTree(arr, size, 2 * index + 2);
return node;
}
void levelOrderTraversal(TreeNode *root) {
if (root == NULL) {
return;
}
Queue *queue = createQueue();
enqueue(queue, root);
while (queue->front != queue->rear) {
TreeNode *node = dequeue(queue);
printf("%d ", node->data);
if (node->left != NULL) {
enqueue(queue, node->left);
}
if (node->right != NULL) {
enqueue(queue, node->right);
}
}
}
int main() {
int arr[] = {1, 2, 3, 4, 5, 6, 7};
int size = sizeof(arr) / sizeof(arr[0]);
TreeNode *root = createTree(arr, size, 0);
printf("Level order traversal of the created binary tree is: ");
levelOrderTraversal(root);
return 0;
}
```