PTA 04-树5 Root of AVL Tree

PTA 04-树5 Root of AVL Tree

原题链接

一直段错误！求救SOS！

求救Code

我的代码：参考了bilibili up主（Slatter）视频

#include<iostream>
#include <stdio.h>
#include <stdlib.h>
#include<cmath>
using namespace std;
typedef struct TreeNode *Tree;
struct TreeNode{
    int val;
    Tree left,right;
    int height;
};
int Max(int a,int b)
{
    return a>b?a:b;
}
//获得树高,以防有树高为0的情况，height无法直接获得
int getHeight(Tree root){
    if(root==NULL)return -1;//树空
    else return root->height;
}
//计算平衡因子->用于判断是LL,RR,LR,RL类型
int getBalanceFactor(Tree root){
    return getHeight(root->left)-getHeight(root->right);
}
//左旋
Tree LL(Tree root){
    Tree temp=root->right;
    root->left=temp->left;
    temp->left=root;
    root->height=Max(getHeight(root->left),getHeight(root->right))+1;
    temp->height=Max(getHeight(temp->left),getHeight(temp->right))+1;
    return temp;
}
//右旋
Tree RR(Tree root){
    Tree temp=root->left;
    root->left=temp->right;
    temp->right=root;
    root->height=Max(getHeight(root->left),getHeight(root->right))+1;
    temp->height=Max(getHeight(temp->left),getHeight(temp->right))+1;
    return temp;
}
//左右旋->左旋左子树，右旋整棵树
Tree LR(Tree root){
    root->left=LL(root->left);
    return RR(root);
}
//右左旋->右旋右子树，左旋整棵树
Tree RL(Tree root){
    root->right=RR(root->right);
    return LL(root);
}
//插入AVL树
Tree Insert(Tree root,int v){
    if(!root){//空节点
        root=(Tree)malloc(sizeof(struct TreeNode));
        root->val=v;
        root->left=root->right=NULL;
        root->height=0;
    }
    if(v<root->val){
        root->left=Insert(root->left,v);
        if(getBalanceFactor(root)==2){//Lx
            if(v<root->left->val){//RR
                root=RR(root);
            }else{
                //LR
                root=LR(root);
            }
        }
    }else if(v>root->val){
        root->right=Insert(root->right,v);
        if(getBalanceFactor(root)==-2){//Rx
            if(v<root->right->val){//RL
                root=RL(root);
            }else{
                root=LL(root);//LL
            }
        }
    }
    root->height=Max(getHeight(root->left),getHeight(root->right))+1;
    return root;
}

int main(){
    int N,v;
    scanf("%d",&N);
    Tree root=NULL;
    for(int i=0;i<N;i++){
        scanf("%d",&v);
        root=Insert(root,v);
    }
    printf("%d",root->val);
    return 0;
}

最后通过的Code

转载优快云:
转载链接

#include <stdio.h>
#include <stdlib.h>

typedef struct TNode *AVLTree;
typedef int ElementType;
struct TNode{
    ElementType Data;
    AVLTree Left;
    AVLTree Right;
    int Height;
};

AVLTree Insert(AVLTree T,ElementType X);
int Max(int a,int b);
int GetHeight(AVLTree T);
AVLTree SingleLeftRotation ( AVLTree A );
AVLTree DoubleLeftRightRotation ( AVLTree A );
AVLTree SingleRightRotation(AVLTree T);
AVLTree DoubleRightLeftRotation(AVLTree T);

int main()
{
    int N,X;
    AVLTree Tree=NULL;
    scanf("%d",&N);
    for(int i=0;i<N;i++)
    {
        scanf("%d",&X);
        Tree = Insert(Tree,X);

    }
    printf("%d\n",Tree->Data);
    return 0;
}

int Max(int a,int b)
{
    return a>b?a:b;
}

int GetHeight(AVLTree T)
{
    if(!T) return -1;
    else return T->Height;
}

AVLTree Insert(AVLTree T,ElementType X)
{
    /*对于输入样例二：88 70 61 96 120 90 65
    1.读入元素X，若为空树新建根节点，否则，与当前结点比较，
    若X小于当前结点，递归插入左子树，
    若大于，递归插入右子树；
    2.插入成功后，更新该新结点树高；
    3.从插入时遍历的路线，从新结点一个个往回遍历，判断，是否存在麻烦结点；
    （麻烦结点即为平衡被破坏的结点，即左右子树高度相差2及以上）
    4.若存在，則在最先找出的麻烦结点进行调整：
    （左单旋，左-右双旋，右单旋，右-左双旋）
    若不存在：跟新树高即可；
    */
    if(!T)
    {
        T=(AVLTree)malloc(sizeof(struct TNode));
        T->Data = X;
        T->Left = T->Right = NULL;
        T->Height = 0;
    }else if(X<T->Data){
    
        T->Left = Insert(T->Left,X);
        if(GetHeight(T->Left)-GetHeight(T->Right)==2){
//            printf("T=%d\n",T->Data);
            if(X< T->Left->Data)
                T = SingleLeftRotation(T);
            else
                T = DoubleLeftRightRotation(T);
        }

    }else if(X>T->Data){
        T->Right = Insert(T->Right,X);
        if(GetHeight(T->Right)-GetHeight(T->Left)==2){
//            printf("T=%d\n",T->Data);
            if(X>T->Right->Data)
                T = SingleRightRotation(T);
            else
                T = DoubleRightLeftRotation(T);
        }
    }
    //更新树高
    T->Height = Max(GetHeight(T->Left),GetHeight(T->Right))+1;
    return T;
}

AVLTree SingleLeftRotation ( AVLTree A )
{ /* 注意：A必须有一个左子结点B */
  /* 将A与B做左单旋，更新A与B的高度，返回新的根结点B */

    AVLTree B = A->Left;
    A->Left = B->Right;
    B->Right = A;
    A->Height = Max( GetHeight(A->Left), GetHeight(A->Right) ) + 1;
    B->Height = Max( GetHeight(B->Left), A->Height ) + 1;

    return B;
}

AVLTree DoubleLeftRightRotation ( AVLTree A )
{ /* 注意：A必须有一个左子结点B，且B必须有一个右子结点C */
  /* 将A、B与C做两次单旋，返回新的根结点C */

    /* 将B与C做右单旋，C被返回 */
    A->Left = SingleRightRotation(A->Left);
    /* 将A与C做左单旋，C被返回 */
    return SingleLeftRotation(A);
}

AVLTree SingleRightRotation(AVLTree A)
{
    AVLTree B = A->Right;
    A->Right = B->Left;
    B->Left = A;
    A->Height = Max( GetHeight(A->Left), GetHeight(A->Right) ) + 1;
    B->Height = Max( GetHeight(B->Right), A->Height ) + 1;
    return B;
}

AVLTree DoubleRightLeftRotation(AVLTree A)
{
    A->Right = SingleLeftRotation(A->Right);
    return SingleRightRotation(A);
}

不明白为啥我的会报“段错误”！求大神指点