Title Description
is now given of a binary sequence preorder traversal sequence preorder, requires you to calculate the height of the binary tree.
Input
Input test data comprising a plurality of sets, each set of input given first positive integer N (<= 50), the total number of nodes in the tree points. 2 has given the following row and the first sequence preorder sequence of length N are no duplicates letters (case sensitive) string.
Output
For each input, output an integer, i.e., the height of the binary tree.
Sample input
. 9
ABDFGHIEC
FDHGIBEAC
. 7
ABCDEFG
gfedcbA
sample output
. 5
. 7
Thinking see Code
#include<bits/stdc++.h>
using namespace std;
int dfs(char*pre,char*in,int n)//n为中序遍历中的查找个数,即为子树的节点数
{
if(n==0) return 0;
int i;
for(i=0;i<n;i++) //找顶点
if(pre[0]==in[i])
break;
int left=dfs(pre+1,in,i);//对左子树
//顶点在先序遍历中的位置往后一位
//中序查找的起点不变,但结尾处应小于i ,即n=i
int right=dfs(pre+i+1,in+i+1,n-i-1);// 对右子树
//顶点在先序遍历中的位置要加上其左子树的全部节点数i,再往后移一位
//中序查找的位置就从i往后一位, 其个数为n-i-1;
return max(left,right)+1;//要最深的那个
}
int main()
{
int n;
while(cin>>n)
{
char pre[n+1],in[n+1];
cin>>pre>>in;
cout<<dfs(pre,in,n)<<endl;
}
return 0;
}