struct Node{
    Node* left;
    int val;
    Node* right;
};
 
Node* findLeftmostDelete(Node* t, int& x){
    if(t->left == nullptr){
        x = t->val;
        Node* discard = t;
        t = t->right;
        delete discard;
        return t;
    }
    t->left = findLeftMostDelete(t->left, x);
    return t;
}
 
Node* deleteNodeItem(Node* t){
    if((t->left == nullptr) && (t->right == nullptr)){
        delete t;
        t = nullptr;
    }
    else if(t->right == nullptr){
        Node* discard = t;
        t = t->left;
        delete discard;
    }
    else if(t->left == nullptr){
        Node* discard = t;
        t = r->right;
        delete discard;
    }
    else {
        int x;
        t->right = findLestmostDelete(t->right, x);
        t->val = x;
    }
    return t;
}
 
Node* deleteItem(Node* t, int x, bool& found){
    if(t == nullptr){
        found == false;
        return nullptr;
    }
    if(x == t->val){
        found = true;
        return deleteNodeItem(t);
    }
    if(x < t->val){
        t->left = deleteItem(t->left, x, found);
    }
    else {
        t->right = deleteItem(t->right, x, found);
    }
    return t;
}
 
Node* makeLeaf(int x){
    Node* p = new Node;
    p->left = nullptr;
    p->val = x;
    p->right = nullptr;
    return p;
}
 
Node* insert(int x, Node* p){
    if(p == nullptr)
        return makeLeaf(x);
    if(x < p->val)
        p->left = insert(x, p->left);
    else
        p->right = insert(x, p->right);
    return p;
}