建立排序二叉樹並中序遍歷
阿新 • • 發佈:2019-02-08
分析:中序遍歷也叫中根遍歷,顧名思義是把根節點放在中間來遍歷,其遍歷順序為左子節點–>根節點–>右子節點。
方法一:
#include<iostream>
using namespace std;
struct node //二叉樹結點結構
{
int data;
node *left; //右子樹結點指標
node *right; //左子樹結點指標
};
class Btree
{
node *root; //根結點的指標
public:
Btree()
{
root = NULL;
}
void CreateBtree(int);
void Inorder() //中序遍歷主過程
{
Inorder(root);
cout << endl;
}
void Inorder(node *); //中序遍歷子過程
};
void Btree::CreateBtree(int x)
{
node *newnode = new node;
newnode-> data = x;
newnode->left = NULL;
newnode->right = NULL;
if(NULL == root)
{
root = newnode;
}
else
{
node *back;
node *current = root;
while(current != NULL) //找到要插入newnode的節點指標
{
back = current;
if (current->data > x)
{
current=current->left;
}
else
{
current = current->right;
}
}
if(back->data > x)
{
back->left = newnode;
}
else
{
back->right = newnode;
}
}
}
void Btree::Inorder(node *root) //中序遍歷排序二叉樹
{
if(root)
{
Inorder(root->left);
cout << root->data << " ";
Inorder(root->right);
}
}
int main()
{
Btree A;
int arr[]={7, 4, 1, 5, 12, 8, 13, 11};
//排序二叉樹:左子結點<根節點<右子節點
cout << "建立排序二叉樹:" << endl;
for(int i = 0; i < 8; i++)
{
cout << arr[i] << " ";
A.CreateBtree(arr[i]);
}
cout << endl << "中序遍歷序列:" << endl;
A.Inorder();
return 0;
}
執行結果:
建立排序二叉樹:
7 4 1 5 12 8 13 11
中序遍歷序列:
1 4 5 7 8 11 12 13
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