标签:style blog io ar color os 使用 sp on
二叉树的遍历有三种方式:
1)先序遍历:若二叉树为空,则空操作;不为空,则先访问根结点,先序遍历左子树,先序遍历右子树。
2)后序遍历:若二叉树为空,则空操作;不为空,则中序遍历左子树,访问根结点,中序遍历右子树。
3)后序遍历:若二叉树为空,则空操作;不为空,则后序遍历左子树,后序遍历右子树,访问根结点。
例:
1)先序遍历结果为:ABDECF
2)中序遍历结果为:DBEAFC
3)后序遍历结果为:DEBFCA
二叉树输出的思想是将树转换成线性结构输出,一般采用递归方式,非递归方式是使用栈实现,C++递归实现如下:
1 #include<iostream> 2 using namespace std; 3 4 typedef struct BiTreeNode{ 5 char data; 6 BiTreeNode* pLchild; 7 BiTreeNode* pRchild; 8 }BiTreeNode, *BiTree; 9 10 //创建二叉树 11 void CreateBiTree(BiTree &pTree){ 12 char ch; 13 cin >> ch; 14 if (ch == ‘*‘) 15 { 16 pTree = NULL; 17 } 18 else 19 { 20 pTree = new BiTreeNode; 21 pTree->data = ch; 22 CreateBiTree(pTree->pLchild); 23 CreateBiTree(pTree->pRchild); 24 } 25 } 26 27 //先序遍历二叉树 28 void PreOrderTrav(BiTree &pTree){ 29 if (pTree != NULL) 30 { 31 cout << pTree->data << ‘\t‘; 32 PreOrderTrav(pTree->pLchild); 33 PreOrderTrav(pTree->pRchild); 34 } 35 } 36 37 //中序遍历 38 void InOrderTrav(BiTree &pTree){ 39 if (pTree != NULL) 40 { 41 InOrderTrav(pTree->pLchild); 42 cout << pTree->data << ‘\t‘; 43 InOrderTrav(pTree->pRchild); 44 } 45 } 46 47 //后序遍历 48 void PosOrderTrav(BiTree &pTree){ 49 if (pTree != NULL) 50 { 51 PosOrderTrav(pTree->pLchild); 52 PosOrderTrav(pTree->pRchild); 53 cout << pTree->data << ‘\t‘; 54 } 55 } 56 57 void main() 58 { 59 BiTree pTree = NULL; 60 CreateBiTree(pTree); 61 cout << "先序遍历:" << endl; 62 PreOrderTrav(pTree); 63 cout << endl << "中序遍历:" << endl; 64 InOrderTrav(pTree); 65 cout << endl << "后序遍历:" << endl; 66 PosOrderTrav(pTree); 67 cout << endl; 68 }
标签:style blog io ar color os 使用 sp on
原文地址:http://www.cnblogs.com/xp12/p/4142268.html