代碼如下:

#include <iostream> #include <stack> #include <queue> using namespace std; typedef char ElemType; int InOrder_count = 0;class BinTreeNode {friend class BinaryTree;public:BinTreeNode(): lchild(NULL), rchild(NULL) {};private:ElemType data;BinTreeNode *lchild;BinTreeNode *rchild; };class BinaryTree {public:BinaryTree(): root(NULL) {};~BinaryTree() {DeleteTree();}//cur是current的縮寫bool Insertlchild(BinTreeNode *cur, ElemType e);bool InsertRchild(BinTreeNode *cur, ElemType e);void LevelOrder(BinTreeNode *cur);void PreOrder(BinTreeNode *cur);void InOrder(BinTreeNode *cur);void PostOrder(BinTreeNode *cur);void PreOrder_Stack(BinTreeNode *cur);void InOrder_Stack(BinTreeNode *cur);void PostOrder_Stack(BinTreeNode *cur);void InOrder_Count(BinTreeNode *cur);BinTreeNode *&visRoot();BinTreeNode *Root();int Count(BinTreeNode *cur);int Height(BinTreeNode *cur);BinTreeNode *copyTree(BinTreeNode *t);BinTreeNode *Find (BinTreeNode *cur, ElemType e);void Destory(BinTreeNode *cur);//刪除指點子樹void DeleteTree() {Destory(root);root = NULL;}bool IsEmpty() {return root == NULL;}BinTreeNode *CreateTree();//以先序序列輸入private:BinTreeNode *root; };bool BinaryTree::Insertlchild(BinTreeNode *cur, ElemType e) {if (cur == NULL)return false;BinTreeNode *p;p = new BinTreeNode();p->data = e;cur->lchild = p;return true; }bool BinaryTree::InsertRchild(BinTreeNode *cur, ElemType e) {if (cur == NULL)return false;BinTreeNode *p;p = new BinTreeNode();p->data = e;cur->rchild = p;return true; }void BinaryTree::Destory(BinTreeNode *cur) {if (cur != NULL) {Destory(cur->lchild);Destory(cur->rchild);delete cur;} }BinTreeNode *BinaryTree::Find(BinTreeNode *cur, ElemType e) {if (cur == NULL)return NULL;if (cur->data == e)return cur;BinTreeNode *p = Find(cur->lchild, e);if (p != NULL)return p;elsereturn Find(cur->rchild, e); }void BinaryTree::PreOrder(BinTreeNode *cur) {if (cur != NULL) {cout << cur->data << " ";PreOrder(cur->lchild);PreOrder(cur->rchild);} }void BinaryTree::InOrder(BinTreeNode *cur) {if (cur != NULL) {InOrder(cur->lchild);cout << cur->data << " ";InOrder(cur->rchild);} }void BinaryTree::PostOrder(BinTreeNode *cur) {if (cur != NULL) {PostOrder(cur->lchild);PostOrder(cur->rchild);cout << cur->data << " ";} }void BinaryTree::PreOrder_Stack(BinTreeNode *cur) {stack<BinTreeNode *>s;while (cur || !s.empty())if (cur) {cout << cur->data << " ";s.push(cur);cur = cur->lchild;} else {cur = s.top();s.pop();cur = cur->rchild;} }void BinaryTree::InOrder_Stack(BinTreeNode *cur) {stack<BinTreeNode *>s;while (cur || !s.empty())if (cur) {s.push(cur);cur = cur->lchild;} else {cur = s.top();s.pop();cout << cur->data << " ";cur = cur->rchild;} }void BinaryTree::PostOrder_Stack(BinTreeNode *cur) {stack<BinTreeNode *>s1;stack<bool>s2;bool flag;while (cur || !s1.empty())if (cur) {flag = false;s1.push(cur);s2.push(flag);cur = cur->lchild;} else {cur = s1.top();flag = s2.top();s1.pop();s2.pop();if (flag == false) {flag = true;s1.push(cur);s2.push(flag);cur = cur->rchild;} else {cout << cur->data << " ";cur = NULL;}} }void BinaryTree::InOrder_Count(BinTreeNode *cur) {if (cur != NULL) {InOrder_Count(cur->lchild);InOrder_count++;//InOrder_count為全局變量，使用前要賦值為0InOrder_Count(cur->rchild);} }int BinaryTree::Count(BinTreeNode *cur) {int lcnt, rcnt;if (cur == NULL)return 0;lcnt = Count(cur->lchild);rcnt = Count(cur->rchild);return lcnt + rcnt + 1; }int BinaryTree::Height(BinTreeNode *cur) {if (cur == NULL)return 0;elsereturn max(Height(cur->lchild), Height(cur->rchild)) + 1; }BinTreeNode *BinaryTree::copyTree(BinTreeNode *t) {if (t == NULL)return NULL;BinTreeNode *p;p = new BinTreeNode();p->data = t->data;p->lchild = copyTree(t->lchild);p->rchild = copyTree(t->rchild);return p; }BinTreeNode *BinaryTree::CreateTree() {ElemType ch;BinTreeNode *t;cin >> ch;if (ch == '0')t = NULL;else {t = new BinTreeNode();t->data = ch;t->lchild = CreateTree();t->rchild = CreateTree();}return t; }BinTreeNode *BinaryTree::Root() {return root; }BinTreeNode *&BinaryTree::visRoot() {return root; }void BinaryTree::LevelOrder(BinTreeNode *cur) {if (cur == NULL)return ;queue<BinTreeNode *>q;q.push(cur);while (q.size()) {BinTreeNode *t = q.front();q.pop();if (t == NULL)continue;cout << t->data << " ";q.push(t->lchild);q.push(t->rchild);} }int main() {BinaryTree T;T.visRoot() = T.CreateTree();T.PreOrder(T.visRoot());cout << endl;T.InOrder(T.visRoot());cout << endl;T.PostOrder(T.visRoot());cout << endl;cout << "-----------------------------------" << endl;T.PreOrder_Stack(T.visRoot());cout << endl;T.InOrder_Stack(T.visRoot());cout << endl;T.PostOrder_Stack(T.visRoot());cout << endl;T.LevelOrder(T.visRoot());cout << endl;char c1;cin >> c1;char c2;cin >> c2;T.Insertlchild(T.Find(T.visRoot(), c1), c2);T.PreOrder(T.visRoot());cout << endl;cout << T.Height(T.visRoot()) << endl;T.InOrder_Count(T.visRoot());cout << InOrder_count << endl;//全局變量，使用前要賦值為0cout << T.Count(T.visRoot()) << endl;return 0; }

測試結果:

在D中的左孩子位置插入K后，其結構如圖所示:

非遞歸遍歷代碼鏈接:

C++
實現二叉樹的非遞歸遍歷(棧實現)

C++
實現二叉樹的非遞歸層次遍歷(隊列實現)

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