递归建树

把博客当成朋友圈
超认真

碎碎念

是树这块的作业题
有几题之前就写过,但当时好像是用非递归写的,写的挺难看
现在试试递归写法

代码

7-1 前序序列创建二叉树 (25 分)

#include<iostream>
#include<algorithm>
#include<string>
#include<stack>
using namespace std;
typedef struct TNode* BinTree;
struct TNode
{
    
    
	char data;
	BinTree Left;
	BinTree Right;
};
void CreatTree(BinTree &T);
void PrintTree(BinTree T);
stack<char>s;
int main()
{
    
    
	string str;
	while (cin>>str) {
    
    
		for (int i = str.size()-1; i >=0 ; i--)
			s.push(str[i]);
		BinTree T = NULL;
		CreatTree(T);
		PrintTree(T);
		cout << endl;
	}
	return 0;
}
void PrintTree(BinTree T)
{
    
    
	if (T) {
    
    
		PrintTree(T->Left);
		cout << T->data << " ";
		PrintTree(T->Right);
	}
}
void CreatTree(BinTree &T)
{
    
    
	char c;
	c = s.top();
	s.pop();
	if (c == '#') {
    
    
		T = NULL;
		return;
	}
    T = new struct TNode;
	T->data = c;
	CreatTree(T->Left);
	CreatTree(T->Right);
}

7-2 还原二叉树 (25 分)

#include<iostream>
#include<algorithm>
#include<string>
#include<stack>
using namespace std;
typedef struct TNode* BinTree;
struct TNode
{
    
    
	char data;
	BinTree Left;
	BinTree Right;
};
void BuildTree(BinTree &T,int b,int e);
int GetHeight(BinTree BT);
char pre[100], in[100];
int n;
int pos = 0;//pre数组移动位置的
int main()
{
    
    
	cin >> n;
	for (int i = 0; i < n; i++) cin >> pre[i];
	for (int i = 0; i < n; i++) cin >> in[i];
	BinTree T=NULL;
	BuildTree(T,0,n-1);
	int length = GetHeight(T);
	cout << length;
}
void BuildTree(BinTree &T,int b,int e)
{
    
    
	char root = pre[pos];
	int p=-1;
	for (int i=b; i <= e; i++)//这里注意是等于,因为e是最后一个元素的位置
		if (root == in[i]) {
    
    
			p = i;
			break;
		}
	if (p == -1) {
    
    //找不到就说明这个节点不在所递归中序遍历的区间
		T = NULL;
		return;
	}
	pos++;//找到再后移
	T = new struct TNode;
	T->data = root;
	BuildTree(T->Left, b,p-1);
	BuildTree(T->Right, p + 1, e);
}
int GetHeight(BinTree BT)
{
    
    
	if (BT == NULL) return 0;
	else return max(GetHeight(BT->Left), GetHeight(BT->Right)) + 1;
}

7-3 列出叶结点 (25 分)

#include<iostream>
#include<algorithm>
#include<queue>
using namespace std;
typedef struct TNode* BinTree;
struct tree
{
    
    
	int pos;
	int pleft;
	int pright;
};
struct TNode
{
    
    
	struct tree data;
	BinTree left;
	BinTree right;
};
struct tree BT[20];
void BuildTree(BinTree& T,int proot);
void Print_Leaf(BinTree T);
int main()
{
    
    
	int n;
	char l, r;
	cin >> n;
	int find_root[20] = {
    
     0 };//找根节点的,怎么找根节点是关键,其他的不难
	for (int i = 0; i < n; i++)
	{
    
    
		BT[i].pos = i;
		cin >> l >> r;
		if (l == '-') BT[i].pleft = -1;
		else {
    
    
			BT[i].pleft = l - '0';
			find_root[l - '0'] = 1;
		}
		if (r == '-') BT[i].pright = -1;
		else {
    
    
			BT[i].pright = r - '0';
			find_root[r - '0'] = 1;
		}
	}
	int proot=-1;
	for (int i = 0; i < n; i++) 
		if (find_root[i] == 0) {
    
    
		proot = i;
		break;
	}
	BinTree T;
	BuildTree(T,proot);
	Print_Leaf(T);
	

}
void Print_Leaf(BinTree T)
{
    
    
	int sign = 0;
	queue<struct tree>q;
	q.push(T->data);
	while (!q.empty())
	{
    
    
		struct tree temp = q.front();
		if (temp.pleft == -1 && temp.pright == -1) {
    
    
			if(sign==1) cout << " ";
			cout << temp.pos;
			sign = 1;
		}
		q.pop();
		if(temp.pleft!=-1)q.push(BT[temp.pleft]);
		if(temp.pright!=-1)q.push(BT[temp.pright]);
	}

}
void BuildTree(BinTree& T,int proot)
{
    
    
	if (proot == -1) {
    
    
		T = NULL;
		return;
	}
	T = new struct TNode;
	T->data = BT[proot];
	BuildTree(T->left, BT[proot].pleft);
	BuildTree(T->right, BT[proot].pright);
}

感觉用递归建树大有长进,赶紧记下来(傻笑~

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转载自blog.csdn.net/weixin_50816938/article/details/117046656