1020 Tree Traversals (25 分)
Suppose that all the keys in a binary tree are distinct positive integers. Given the postorder and inorder traversal sequences, you are supposed to output the level order traversal sequence of the corresponding binary tree.
Each input file contains one test case. For each case, the first line gives a positive integer N (≤30), the total number of nodes in the binary tree. The second line gives the postorder sequence and the third line gives the inorder sequence. All the numbers in a line are separated by a space.
For each test case, print in one line the level order traversal sequence of the corresponding binary tree. All the numbers in a line must be separated by exactly one space, and there must be no extra space at the end of the line.
7
2 3 1 5 7 6 4
1 2 3 4 5 6 7
4 1 6 3 5 7 2
题意:知道二叉树的后序和中序遍历,求二叉树的层序遍历。(类似的题目有知道二叉树前序和中序,重建这棵二叉树)。
注意:左右子树递归的时的参数即可,最好画图。
#include
#include
#include
using namespace std;
const int maxn=50;
struct node{
int data;
node *l;
node *r;
};
int post[maxn],in[maxn],n;
node *create(int inL,int inR,int postL,int postR)//重建一棵树
{
if(postL>postR){
return NULL;
}
node *root=new node;//新建结点,用于存放根
root->data=post[postR];//为根结点赋值
int k;//记录中序的根在哪个位置
for(k=inL;k<=inR;k++){
if(in[k]==post[postR]){
break;
}
}
int numLeft=k-inL;//左子树的结点个数
root->l=create(inL,k-1,postL,postL+numLeft-1);
root->r=create(k+1,inR,postL+numLeft,postR-1);
return root;
}
int num=0;
void laywerOrder(node *root)
{
queue q;
q.push(root);
while(!q.empty()){
node *now=q.front();
q.pop();
printf("%d",now->data);
num++;
if(numl!=NULL){
q.push(now->l);
}
if(now->r!=NULL){
q.push(now->r);
}
}
}
int main()
{
scanf("%d",&n);
for(int i=0;i