#include "stdafx.h" #include <iostream> #include <fstream>using namespace std;typedef struct _Node {int data;struct _Node *left;struct _Node *right;bool isVisit; //后序遍歷標志(非遞歸) _Node(){data = 0;left = NULL;right = NULL;isVisit = false;} }Node, *_PNode;#define MAXSIZE 100//創建二叉樹利用先序創建 /*1/ \2 3/ \ / 4 3 6/ \ \ / \7 8 9 10 11/ \12 13/14*/ void CreateBitree(_PNode &pNode, fstream &fin) {int dat;fin>>dat;if(dat==0){pNode = NULL;}else {pNode = new Node();pNode->data=dat; CreateBitree(pNode->left, fin); CreateBitree(pNode->right, fin);} }//***********************二叉樹路徑應用舉例(基于非遞歸后序遍歷)***************************begin//求根節點到所有葉子結點的路徑 void FindAllRootToLeafPath(_PNode pRoot) {_PNode pTree = pRoot;_PNode s[MAXSIZE];int top = 0;while (top > 0 || NULL != pTree){while (NULL != pTree){if (NULL == pTree->left && NULL == pTree->right){for (int i = 1; i <= top; i++){cout<<s[i]->data<<" ";}cout<<pTree->data<<" "<<endl;}s[++top] = pTree;pTree = pTree->left;}if (top > 0){pTree = s[top];if (pTree->isVisit){top--;pTree = NULL;}else{pTree->isVisit = true;pTree = pTree->right;}}} }//求根節點到指定結點的路徑 void FindRootToNodePath(_PNode pRoot, int key) {_PNode pTree = pRoot;_PNode s[MAXSIZE];int top = 0;while (top > 0 || NULL != pTree){while (NULL != pTree){if (pTree->data == key){for (int i = 1; i <= top; i++){cout<<s[i]->data<<" ";}cout<<pTree->data<<" "<<endl;}s[++top] = pTree;pTree = pTree->left;}if (top > 0){pTree = s[top];if (pTree->isVisit){top--;pTree = NULL;}else{pTree->isVisit = true;pTree = pTree->right;}}} }//求二叉樹第一條最長的路徑長度 void FindLongestPath(_PNode pRoot) {_PNode pTree = pRoot;_PNode s[MAXSIZE] = {0};_PNode tmp[MAXSIZE] = {0}; //存放最長路徑int top = 0;int longest = 0;while (top > 0 || NULL != pTree){while (NULL != pTree){s[++top] = pTree;pTree = pTree->left;}if (top > 0){pTree = s[top];if (pTree->isVisit){if (top > longest){longest = top;for (int i = 1; i <= top; i++){tmp[i] = s[i];}}top--;pTree = NULL;}else{pTree->isVisit = true;pTree = pTree->right;}}}for (int i = 1; i <= longest; i++){cout<<tmp[i]->data<<" ";} }//設置后序訪問標志為未訪問，即false void SetVisitFalse(_PNode pRoot) {if (NULL != pRoot){pRoot->isVisit = false;SetVisitFalse(pRoot->left);SetVisitFalse(pRoot->right);} }//***********************二叉樹路徑應用舉例(基于非遞歸后序遍歷)***************************endint _tmain(int argc, _TCHAR* argv[]) {fstream fin("tree.txt");_PNode pRoot = NULL;CreateBitree(pRoot, fin);SetVisitFalse(pRoot);cout<<"********************求根節點到所有葉子結點的路徑***********************"<<endl;FindAllRootToLeafPath(pRoot);SetVisitFalse(pRoot);cout<<"********************求二叉樹第一條最長的路徑長度***********************"<<endl;FindLongestPath(pRoot);SetVisitFalse(pRoot);cout<<endl<<"*********************求根節點到指定結點的路徑**************************"<<endl;FindRootToNodePath(pRoot, 13); //根結點到值為13的結點的路徑 cout<<endl;return 0; }

運行界面如下：

建造二叉樹的tree.txt文件如下：

1 2 4 7 12 0 0 0 8 0 13 14 0 0 0 3 0 9 0 0 3 6 10 0 0 11 0 0 0

轉載于:https://www.cnblogs.com/venow/archive/2012/08/24/2653969.html

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