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【遍历二叉树】01二叉树的前序遍历【Binary Tree Preorder Traversal】

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给定一个二叉树,返回他的前序遍历的节点的values。

例如:

    给定一个二叉树 {1,#,2,3},

   1
         2
    /
   3

返回 [1,2,3].

笔记:

递归解决方案是微不足道的,你可以用迭代的方法吗?

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Given a binary tree, return the preorder traversal of its nodes‘ values.

For example:
Given binary tree {1,#,2,3},

   1
         2
    /
   3

return [1,2,3].

Note: Recursive solution is trivial, could you do it iteratively?

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1.递归实现
test.cpp:
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#include <iostream>
#include <cstdio>
#include <stack>
#include <vector>
#include "BinaryTree.h"

using namespace std;


void preorder(TreeNode *root, vector<int> &path)
{
    if(root != NULL)
    {
        path.push_back(root->val);
        preorder(root->left, path);
        preorder(root->right, path);
    }
}
vector<int> preorderTraversal(TreeNode *root)
{
    vector<int> path;
    preorder(root, path);
    return path;
}

// 树中结点含有分叉,
//                  8
//              /       \
//             6         1
//           /   \
//          9     2
//               / \
//              4   7
int main()
{
    TreeNode *pNodeA1 = CreateBinaryTreeNode(8);
    TreeNode *pNodeA2 = CreateBinaryTreeNode(6);
    TreeNode *pNodeA3 = CreateBinaryTreeNode(1);
    TreeNode *pNodeA4 = CreateBinaryTreeNode(9);
    TreeNode *pNodeA5 = CreateBinaryTreeNode(2);
    TreeNode *pNodeA6 = CreateBinaryTreeNode(4);
    TreeNode *pNodeA7 = CreateBinaryTreeNode(7);

    ConnectTreeNodes(pNodeA1, pNodeA2, pNodeA3);
    ConnectTreeNodes(pNodeA2, pNodeA4, pNodeA5);
    ConnectTreeNodes(pNodeA5, pNodeA6, pNodeA7);

    PrintTree(pNodeA1);

    vector<int> ans = preorderTraversal(pNodeA1);

    for (int i = 0; i < ans.size(); ++i)
    {
        cout << ans[i] << " ";
    }
    cout << endl;

    DestroyTree(pNodeA1);
    return 0;
}
 输出结果:
8 6 9 2 4 7 1
 

2.非递归实现(迭代实现)

    根据前序遍历访问的顺序,优先访问根结点,然后再分别访问左孩子和右孩子。即对于任一结点,其可看做是根结点,因此可以直接访问,访问完之后,若其左孩子不为空,按相同规则访问它的左子树;当访问其左子树时,再访问它的右子树。因此其处理过程如下:

     对于任一结点P:

     1)访问结点P,并将结点P入栈;

     2)判断结点P的左孩子是否为空,若为空,则取栈顶结点并进行出栈操作,并将栈顶结点的右孩子置为当前的结点P,循环至1);若不为空,则将P的左孩子置为当前的结点P;

     3)直到P为NULL并且栈为空,则遍历结束。

test.cpp:

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#include <iostream>
#include <cstdio>
#include <stack>
#include <vector>
#include "BinaryTree.h"

using namespace std;


//非递归前序遍历
vector<int> preorderTraversal(TreeNode *root)
{
    stack<TreeNode *> s;
    vector<int> path;
    TreeNode *p = root;
    while(p != NULL || !s.empty())
    {
        while(p != NULL)
        {
            path.push_back(p->val);
            s.push(p);
            p = p->left;
        }
        if(!s.empty())
        {
            p = s.top();
            s.pop();
            p = p->right;
        }
    }
    return path;
}


// 树中结点含有分叉,
//                  8
//              /       \
//             6         1
//           /   \
//          9     2
//               / \
//              4   7
int main()
{
    TreeNode *pNodeA1 = CreateBinaryTreeNode(8);
    TreeNode *pNodeA2 = CreateBinaryTreeNode(6);
    TreeNode *pNodeA3 = CreateBinaryTreeNode(1);
    TreeNode *pNodeA4 = CreateBinaryTreeNode(9);
    TreeNode *pNodeA5 = CreateBinaryTreeNode(2);
    TreeNode *pNodeA6 = CreateBinaryTreeNode(4);
    TreeNode *pNodeA7 = CreateBinaryTreeNode(7);

    ConnectTreeNodes(pNodeA1, pNodeA2, pNodeA3);
    ConnectTreeNodes(pNodeA2, pNodeA4, pNodeA5);
    ConnectTreeNodes(pNodeA5, pNodeA6, pNodeA7);

    PrintTree(pNodeA1);

    vector<int> ans = preorderTraversal(pNodeA1);

    for (int i = 0; i < ans.size(); ++i)
    {
        cout << ans[i] << " ";
    }
    cout << endl;

    DestroyTree(pNodeA1);
    return 0;
}

输出结果:
8 6 9 2 4 7 1
 
BinaryTree.h:
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#ifndef _BINARY_TREE_H_
#define _BINARY_TREE_H_

struct TreeNode
{
    int val;
    TreeNode *left;
    TreeNode *right;
    TreeNode(int x) : val(x), left(NULL), right(NULL) {}
};


TreeNode *CreateBinaryTreeNode(int value);
void ConnectTreeNodes(TreeNode *pParent,
                      TreeNode *pLeft, TreeNode *pRight);
void PrintTreeNode(TreeNode *pNode);
void PrintTree(TreeNode *pRoot);
void DestroyTree(TreeNode *pRoot);


#endif /*_BINARY_TREE_H_*/
BinaryTree.cpp:
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#include <iostream>
#include <cstdio>
#include "BinaryTree.h"

using namespace std;

/**
 * Definition for binary tree
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
 * };
 */


//创建结点
TreeNode *CreateBinaryTreeNode(int value)
{
    TreeNode *pNode = new TreeNode(value);

    return pNode;
}

//连接结点
void ConnectTreeNodes(TreeNode *pParent, TreeNode *pLeft, TreeNode *pRight)
{
    if(pParent != NULL)
    {
        pParent->left = pLeft;
        pParent->right = pRight;
    }
}

//打印节点内容以及左右子结点内容
void PrintTreeNode(TreeNode *pNode)
{
    if(pNode != NULL)
    {
        printf("value of this node is: %d\n", pNode->val);

        if(pNode->left != NULL)
            printf("value of its left child is: %d.\n", pNode->left->val);
        else
            printf("left child is null.\n");

        if(pNode->right != NULL)
            printf("value of its right child is: %d.\n", pNode->right->val);
        else
            printf("right child is null.\n");
    }
    else
    {
        printf("this node is null.\n");
    }

    printf("\n");
}

//前序遍历递归方法打印结点内容
void PrintTree(TreeNode *pRoot)
{
    PrintTreeNode(pRoot);

    if(pRoot != NULL)
    {
        if(pRoot->left != NULL)
            PrintTree(pRoot->left);

        if(pRoot->right != NULL)
            PrintTree(pRoot->right);
    }
}

void DestroyTree(TreeNode *pRoot)
{
    if(pRoot != NULL)
    {
        TreeNode *pLeft = pRoot->left;
        TreeNode *pRight = pRoot->right;

        delete pRoot;
        pRoot = NULL;

        DestroyTree(pLeft);
        DestroyTree(pRight);
    }
}
 
 
 

【遍历二叉树】01二叉树的前序遍历【Binary Tree Preorder Traversal】,布布扣,bubuko.com

【遍历二叉树】01二叉树的前序遍历【Binary Tree Preorder Traversal】

原文:http://www.cnblogs.com/codemylife/p/3652239.html

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