c语言大厂面试经典题目:二叉树先序遍历(递归与非递归)及C语言实现
作者:野牛程序员:2023-12-04 15:00:24c语言阅读 4309
先序遍历是二叉树遍历的一种方式,按照根-左子树-右子树的顺序进行访问。以下是递归和非递归方式的C语言实现:
递归实现:
#include <stdio.h>
#include <stdlib.h>
// 定义二叉树节点结构
struct TreeNode {
int data;
struct TreeNode* left;
struct TreeNode* right;
};
// 递归先序遍历函数
void preorderTraversalRecursive(struct TreeNode* root) {
if (root != NULL) {
// 访问当前节点
printf("%d ", root->data);
// 递归遍历左子树
preorderTraversalRecursive(root->left);
// 递归遍历右子树
preorderTraversalRecursive(root->right);
}
}
// 示例:创建一个二叉树
struct TreeNode* createNode(int data) {
struct TreeNode* newNode = (struct TreeNode*)malloc(sizeof(struct TreeNode));
newNode->data = data;
newNode->left = NULL;
newNode->right = NULL;
return newNode;
}
int main() {
// 创建二叉树
struct TreeNode* root = createNode(1);
root->left = createNode(2);
root->right = createNode(3);
root->left->left = createNode(4);
root->left->right = createNode(5);
// 递归先序遍历
printf("递归先序遍历结果: ");
preorderTraversalRecursive(root);
return 0;
}非递归实现(使用栈):
#include <stdio.h>
#include <stdlib.h>
#define MAX_STACK_SIZE 100
// 定义二叉树节点结构
struct TreeNode {
int data;
struct TreeNode* left;
struct TreeNode* right;
};
// 定义栈结构
struct Stack {
int top;
struct TreeNode* items[MAX_STACK_SIZE];
};
// 初始化栈
void initStack(struct Stack* stack) {
stack->top = -1;
}
// 入栈
void push(struct Stack* stack, struct TreeNode* item) {
if (stack->top < MAX_STACK_SIZE - 1) {
stack->items[++stack->top] = item;
}
}
// 出栈
struct TreeNode* pop(struct Stack* stack) {
if (stack->top >= 0) {
return stack->items[stack->top--];
}
return NULL;
}
// 非递归先序遍历函数
void preorderTraversalNonRecursive(struct TreeNode* root) {
if (root == NULL) {
return;
}
struct Stack stack;
initStack(&stack);
push(&stack, root);
printf("非递归先序遍历结果: ");
while (stack.top >= 0) {
struct TreeNode* current = pop(&stack);
printf("%d ", current->data);
// 先将右子树入栈,再将左子树入栈
if (current->right != NULL) {
push(&stack, current->right);
}
if (current->left != NULL) {
push(&stack, current->left);
}
}
}
// 示例:创建一个二叉树
struct TreeNode* createNode(int data) {
struct TreeNode* newNode = (struct TreeNode*)malloc(sizeof(struct TreeNode));
newNode->data = data;
newNode->left = NULL;
newNode->right = NULL;
return newNode;
}
int main() {
// 创建二叉树
struct TreeNode* root = createNode(1);
root->left = createNode(2);
root->right = createNode(3);
root->left->left = createNode(4);
root->left->right = createNode(5);
// 非递归先序遍历
preorderTraversalNonRecursive(root);
return 0;
}这两个示例分别演示了递归和非递归方式进行二叉树的先序遍历。
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