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二叉树的四种遍历

2022-03-19 23:31:29 作者：互联网

文章目录

先序、中序、后序遍历（递归）
层序遍历
先序、后序、中序遍历（非递归）

输入样例：
124005003600700
0

在这里插入图片描述

先序、中序、后序遍历（递归）

#include <stdio.h>
#include <stdlib.h>

#define MaxSize 100

typedef struct BiTNode {
    char data;
    struct BiTNode *lchild, *rchild;
} BiTNode, *BiTree;

void BiTreeCreate(BiTree *root, char *nodeData, int *cursor);
void BiTreeDestroy(BiTree *root);
void PreOrderTraverse(BiTree root);
void InOrderTraverse(BiTree root);
void PostOrderTraverse(BiTree root);

int main() {
    char str[MaxSize] = "";

    while (scanf("%[^\n]%*c", str) && str[0] != 48) {
        BiTree T = NULL;
        int cursor = 0;

        BiTreeCreate(&T, str, &cursor);

        PreOrderTraverse(T); printf("\n");
        InOrderTraverse(T); printf("\n");
        PostOrderTraverse(T); printf("\n");

        BiTreeDestroy(&T);
    }
    return 0;
}

/**
 * 先序非递归
 */
void PreOrderTraverse(BiTree root) {
    if (root) {
        printf("%c", root->data);
        PreOrderTraverse(root->lchild);
        PreOrderTraverse(root->rchild);
    }
}

/**
 * 中序非递归
 */
void InOrderTraverse(BiTree root) {
    if (root) {
        InOrderTraverse(root->lchild);
        printf("%c", root->data);
        InOrderTraverse(root->rchild);
    }
}

/**
 * 后序非递归
 */
void PostOrderTraverse(BiTree root) {
    if (root) {
        PostOrderTraverse(root->lchild);
        PostOrderTraverse(root->rchild);
        printf("%c", root->data);
    }
}

/**
 * 根据先序序列创建二叉树
 */
void BiTreeCreate(BiTree *root, char *nodeData, int *cursor) {
    if (nodeData[*cursor] == 48) {
        *root = NULL;
    } else {
        *root = (BiTNode *) malloc(sizeof(BiTNode));
        (*root)->data = nodeData[*cursor];
        (*cursor)++;
        BiTreeCreate(&(*root)->lchild, nodeData, cursor);
        (*cursor)++;
        BiTreeCreate(&(*root)->rchild, nodeData, cursor);
    };
}

/**
 * 释放二叉树内存空间
 */
void BiTreeDestroy(BiTree *root) {
    if (*root) {
        BiTreeDestroy(&(*root)->lchild);
        BiTreeDestroy(&(*root)->rchild);
        free(*root);
        *root = NULL;
    }
}

层序遍历

#include <stdio.h>
#include <stdlib.h>
#include <stdbool.h>

#define MaxSize 100
#define ElemType BiTree

typedef struct BiTNode {
    char data;
    struct BiTNode *lchild, *rchild;
} BiTNode, *BiTree;

typedef struct SqQueue {
    ElemType data[MaxSize];
    int front, rear;
} SqQueue;

void BiTreeCreate(BiTree *root, char *nodeData, int *cursor);
void BiTreeDestroy(BiTree *root);
void LevelOrderTraverse(BiTree root);

void QueueInit(SqQueue *queue);
bool QueueEmpty(SqQueue queue);
bool EnQueue(SqQueue *queue, ElemType e);
bool DeQueue(SqQueue *queue, ElemType *x);

int main() {
    char str[MaxSize] = "";

    while (scanf("%[^\n]%*c", str) && str[0] != 48) {
        BiTree T = NULL;
        int cursor = 0;

        BiTreeCreate(&T, str, &cursor);

        LevelOrderTraverse(T); printf("\n");

        BiTreeDestroy(&T);
    }
    return 0;
}

/**
 * 二叉树层序遍历
 */
void LevelOrderTraverse(BiTree root) {
    BiTNode *nowNode = root;
    SqQueue Q;

    QueueInit(&Q);
    EnQueue(&Q, nowNode);
    while (!QueueEmpty(Q)) {
        DeQueue(&Q, &nowNode);
        printf("%c", nowNode->data);
        if (nowNode->lchild) EnQueue(&Q, nowNode->lchild);
        if (nowNode->rchild) EnQueue(&Q, nowNode->rchild);
    }
}

/**
 * 根据先序序列创建二叉树
 */
void BiTreeCreate(BiTree *root, char *nodeData, int *cursor) {
    if (nodeData[*cursor] == 48) {
        *root = NULL;
    } else {
        *root = (BiTNode *) malloc(sizeof(BiTNode));
        (*root)->data = nodeData[*cursor];
        (*cursor)++;
        BiTreeCreate(&(*root)->lchild, nodeData, cursor);
        (*cursor)++;
        BiTreeCreate(&(*root)->rchild, nodeData, cursor);
    };
}

/**
 * 释放二叉树内存空间
 */
void BiTreeDestroy(BiTree *root) {
    if (*root) {
        BiTreeDestroy(&(*root)->lchild);
        BiTreeDestroy(&(*root)->rchild);
        free(*root);
        *root = NULL;
    }
}

/**
 * 初始化队列
 */
void QueueInit(SqQueue *queue) {
    queue->front = queue->rear = 0;
}

/**
 * 判队空
 */
bool QueueEmpty(SqQueue queue) {
    return (queue.rear == queue.front);
}

/**
 * 入队
 */
bool EnQueue(SqQueue *queue, ElemType e) {
    if ((queue->rear + 1) % MaxSize == queue->front) return false;
    queue->data[queue->rear] = e;
    queue->rear = (queue->rear + 1) % MaxSize;
}

/**
 * 出队
 */
bool DeQueue(SqQueue *queue, ElemType *x) {
    if (QueueEmpty(*queue)) return false;
    *x = queue->data[queue->front];
    queue->front = (queue->front + 1) % MaxSize;
}

先序、后序、中序遍历（非递归）

#include <stdio.h>
#include <stdlib.h>
#include <stdbool.h>

#define MaxSize 100
#define ElemType BiTree

typedef struct BiTNode {
    char data;
    struct BiTNode *lchild, *rchild;
} BiTNode, *BiTree;

typedef struct SqStack {
    ElemType data[MaxSize];
    int top;
} SqStack;

void BiTreeCreate(BiTree *root, char *nodeData, int *cursor);
void BiTreeDestroy(BiTree *root);
void PreOrderTraverse(BiTree root);
void InOrderTraverse(BiTree root);
void PostOrderTraverse(BiTree root);

void StackInit(SqStack *stack);
bool StackEmpty(SqStack stack);
bool StackPush(SqStack *stack, ElemType e);
bool StackPop(SqStack *stack, ElemType *x);
bool StackGetTop(SqStack stack, ElemType *x);

int main() {
    char str[MaxSize] = "";

    while (scanf("%[^\n]%*c", str) && str[0] != 48) {
        BiTree T = NULL;
        int cursor = 0;

        BiTreeCreate(&T, str, &cursor);

        PreOrderTraverse(T); printf("\n");
        InOrderTraverse(T); printf("\n");
        PostOrderTraverse(T); printf("\n");

        BiTreeDestroy(&T);
    }
    return 0;
}

/**
 * 先序遍历非递归
 */
void PreOrderTraverse(BiTree root) {
    BiTNode *nowNode = root;
    SqStack S;

    StackInit(&S);
    StackPush(&S, nowNode);
    while (!StackEmpty(S)) {
        StackPop(&S, &nowNode);
        printf("%c", nowNode->data);
        if (nowNode->rchild) StackPush(&S, nowNode->rchild);
        if (nowNode->lchild) StackPush(&S, nowNode->lchild);
    }
}

/**
 * 中序遍历非递归
 */
void InOrderTraverse(BiTree root) {
    BiTNode *nowNode = root;
    SqStack S;

    StackInit(&S);
    while (nowNode || !StackEmpty(S)) {
        if (nowNode) {
            StackPush(&S, nowNode);
            nowNode = nowNode->lchild;
        } else {
            StackPop(&S,&nowNode);
            printf("%c", nowNode->data);
            nowNode = nowNode->rchild;
        }
    }
}

/**
 * 后序遍历非递归
 */
void PostOrderTraverse(BiTree root) {
    BiTNode *nowNode = root, *lastPopNode = NULL;
    SqStack S;

    StackInit(&S);
    while (nowNode || !StackEmpty(S)) {
        if (nowNode) {
            StackPush(&S, nowNode);
            nowNode = nowNode->lchild;
        } else {
            StackGetTop(S, &nowNode);
            if (nowNode->rchild && nowNode->rchild != lastPopNode) {
                nowNode = nowNode->rchild;
            } else {
                StackPop(&S,&nowNode);
                printf("%c", nowNode->data);
                lastPopNode = nowNode;
                nowNode = NULL;
            };
        }
    }
}

/**
 * 根据先序序列创建二叉树
 */
void BiTreeCreate(BiTree *root, char *nodeData, int *cursor) {
    if (nodeData[*cursor] == 48) {
        *root = NULL;
    } else {
        *root = (BiTNode *) malloc(sizeof(BiTNode));
        (*root)->data = nodeData[*cursor];
        (*cursor)++;
        BiTreeCreate(&(*root)->lchild, nodeData, cursor);
        (*cursor)++;
        BiTreeCreate(&(*root)->rchild, nodeData, cursor);
    };
}

/**
 * 释放二叉树内存空间
 */
void BiTreeDestroy(BiTree *root) {
    if (*root) {
        BiTreeDestroy(&(*root)->lchild);
        BiTreeDestroy(&(*root)->rchild);
        free(*root);
        *root = NULL;
    }
}

/**
 * 初始化栈
 */
void StackInit(SqStack *stack) {
    stack->top = -1;
}

/**
 * 判栈空
 */
bool StackEmpty(SqStack stack) {
    return (stack.top == -1) ? true : false;
}

/**
 * 入栈
 */
bool StackPush(SqStack *stack, ElemType e) {
    if (stack->top + 1 == MaxSize) return false;
    stack->data[++stack->top] = e;
    return true;
}

/**
 * 出栈
 */
bool StackPop(SqStack *stack, ElemType *x) {
    if (StackEmpty(*stack)) return false;
    *x = stack->data[stack->top--];
    return true;
}

/**
 * 取栈顶元素但不出栈
 */
bool StackGetTop(SqStack stack, ElemType *x) {
    if (StackEmpty(stack)) return false;
    *x = stack.data[stack.top];
    return true;
}

标签：queue,遍历,BiTree,void,cursor,二叉树,nowNode,root,四种
来源： https://blog.csdn.net/qq_43686863/article/details/123603312