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| #include<iostream> using namespace std; template <typename Key,typename Value> class BSTMap{ private: struct Node{ Key key; Value value; Node *left; Node *right; Node(Key key,Value value){ this->key=key; this->value=value; this->left=this->right=NULL; } };
Node *root; int size; public: BSTMap(){ this->root=NULL; this->size=0; }
//判断映射中一共有多少个元素 int getSize(){ return size; }
//判断映射是否为空 bool isEmpty(){ return size==0; }
//给映射中添加元素对 void add(Key key,Value value){ root=add(root,key,value); size++; }
//判断映射中是否含有key这个节点 bool contains(Key key){ return getNode(root,key)!=NULL; }
//将key这个键的value改为newvalue void set(Key key,Value newvalue){ Node *node=getNode(root,key); if(node==NULL) { cout<<"没有key这个节点,修改失败"; } node->value=newvalue; } //返回映射中节点最小节点的value Value removeMin(){ Node *ret=minimun(root); root=removeMin(root); return ret->value; }
//删除以key的节点,并返回该节点的value Value remove(Key key){ Node *ret=getNode(key); root=remove(root,key); return ret->value; }
//中序遍历 void InOrder(){ Inorder(root); }
private: //添加节点 Node * add(Node *node,Key key,Value value){ if(node==NULL) return new Node(key,value); else if(node->key>key) node->left=add(node->left,key,value); else if(node->key<key) node->right=add(node->right,key,value); else node->value=value; return node; }
//返回最小节点 Node *minimum(){ return minimun(root); } //非递归 Node *minimun(Node *node){ while(node->left!=NULL){ node=node->left; } return node; } //递归 Node *minimun2(Node *node){ if(node->left!=NULL) return minimun2(node->left); return node; }
//得到键为key的节点 Node *getNode(Key key){ Node *ret=getNode(root,key); if(ret==NULL) { cout << "该节点为空" << endl; return NULL; } return ret; }
Node *getNode(Node *node,Key key){ if(node==NULL) return NULL; else if(node->key==key) return node; else if(node->key>key) return getNode(node->left,key); else return getNode(node->right,key); }
//删除最小节点并返回root节点 Node *removeMin(Node *node){ if(node->left==NULL){ Node *ret=node->right; node->right=NULL; size--; return ret; } node->left=removeMin(node->left); return node; }
//删除键为key的节点 Node *remove(Node *node,Key key){ if(node==NULL) return NULL; else if(node->key<key) node->right=remove(node->right,key); else if(node->key>key) node->left=remove(node->left,key); else{ if(node->left==NULL){ Node *ret=node->right; node->right=NULL; size--; return ret; } if(node->right==NULL){ Node *ret=node->left; node->left=NULL; size--; return ret; } Node *ret=minimun(node->right); ret->right=removeMin(node->right); ret->left=node->left; node->left=node->right=NULL; return ret; } return node; }
void Inorder(Node *node){ if(node!=NULL){ Inorder(node->left); cout<<node->key<<"<->"<<node->value<<endl; Inorder(node->right); } }
}; int main(){ // // 该二叉树如下: // 99 // / \ // 77 188 // / \ / \ // 31 80 170 193 // / / // 101 189 // \ // 190 BSTMap <int,string> *bst=new BSTMap<int,string>(); bst->add(99,"Zhao"); bst->add(77,"Qian"); bst->add(188,"sun"); bst->add(31,"li"); bst->add(80,"Zhou"); bst->add(170,"Wu"); bst->add(193,"Zhen"); bst->add(101,"Wang"); bst->add(189,"Feng"); bst->add(190,"cheng"); bst->InOrder(); cout<<endl; bst->remove(188); bst->removeMin(); bst->set(77,"hhhhh"); cout<<bst->getSize()<<endl; bst->InOrder(); cout<<endl; return 0; }
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