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ProblemF.cpp
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#include<cstdio>
int n, cur;
long long ans;
int abs(int x) { return x > 0 ? x : -x; }
int min(int a, int b) { return a < b ? a : b; }
class Node {
public:
int val, height, size, count;
Node *left, *right;
Node(int val) {
this->val = val;
this->height = this->size = this->count = 1;
this->left = this->right = nullptr;
}
void update() {
size = (left ? left->size : 0) + (right ? right->size : 0) + count;
}
};
class AVL {
public:
AVL() {
root = nullptr;
size = 0;
}
void add(int key) { root = add(root, key); }
void remove(int key) { root = remove(root, key); }
int find_prev(int key) { return find_prev(root, key); }
int find_next(int key) { return find_next(root, key); }
bool empty() { return size == 0; }
private:
Node *root;
int size;
int get_Height(Node *node) { return node ? node->height : 0; }
int get_Balance_Factor(Node *node) { return node ? get_Height(node->left) - get_Height(node->right) : 0; }
int get_node_size(Node *node) { return node ? node->size : 0; }
Node* get_MinNode(Node* node) { return node->left ? get_MinNode(node->left) : node; }
int max(int a, int b) { return a > b ? a : b; }
int find_prev(Node* node, int key) {
if(node == nullptr) return -1;
if(node->val == key) {
if(node->left == nullptr) return -1;
Node* temp = node->left;
while(temp->right) temp = temp->right;
return temp->val;
}
if(node->val > key) return find_prev(node->left, key);
int res = find_prev(node->right, key);
if(res == -1) return node->val;
return res;
}
int find_next(Node* node, int key) {
if(node == nullptr) return -1;
if(node->val == key) {
if(node->right == nullptr) return -1;
Node* temp = node->right;
while(temp->left) temp = temp->left;
return temp->val;
}
if(node->val < key) return find_next(node->right, key);
int res = find_next(node->left, key);
if(res == -1) return node->val;
return res;
}
Node* rightRotate(Node* b){
Node* a = b->left;
Node* temp = a->right;
a->right = b;
b->left = temp;
b->height = max(get_Height(b->left),get_Height(b->right))+1;
a->height = max(get_Height(a->left),get_Height(a->right))+1;
b->update();
a->update();
return a;
}
Node* leftRotate(Node* b){
Node* a = b->right;
Node* temp = a->left;
a->left = b;
b->right = temp;
b->height = max(get_Height(b->left),get_Height(b->right))+1;
a->height = max(get_Height(a->left),get_Height(a->right))+1;
b->update();
a->update();
return a;
}
Node* add(Node *node, int key) {
if(node == nullptr){
size++;
return new Node(key);
}
if(node->val == key){
node->count++;
node->update();
return node;
}
if(node->val > key) node->left = add(node->left,key);
else if(node->val < key) node->right = add(node->right,key);
node->height = max(get_Height(node->left), get_Height(node->right)) + 1;
node->update();
int bf = get_Balance_Factor(node);
if (bf >1 && get_Balance_Factor(node->left)>0) return rightRotate(node);
if (bf <-1 && get_Balance_Factor(node->right)<0) return leftRotate(node);
if (bf >1 && get_Balance_Factor(node->left)<0){
node->left = leftRotate(node->left);
return rightRotate(node);
}
if (bf <-1 && get_Balance_Factor(node->right)>0){
node->right = rightRotate(node->right);
return leftRotate(node);
}
return node;
}
Node* remove(Node* node, int key){
if (node == nullptr){
return nullptr;
}
Node* new_root = nullptr;
if(node->val > key){
node->left = remove(node->left,key);
new_root = node;
}else if(node->val < key){
node->right = remove(node->right,key);
new_root = node;
}else{
if(node->count > 1) {
node->count--;
node->update();
return node;
}
if(node->left == nullptr) {
Node* right = node->right;
node->right = nullptr;
size--;
new_root = right;
}else if(node->right == nullptr) {
Node* left = node->left;
node->left = nullptr;
size--;
new_root = left;
}else{
Node* minNode = get_MinNode(node->right);
minNode->right = remove(node->right,minNode->val);
minNode->left = node->left;
node->left = node->right = nullptr;
new_root = minNode;
}
}
if(new_root == nullptr) return nullptr;
new_root->height = max(get_Height(new_root->left), get_Height(new_root->right)) + 1;
new_root->update();
int bf = get_Balance_Factor(new_root);
if(bf > 1 && get_Balance_Factor(new_root->left) >= 0) return rightRotate(new_root);
if(bf < -1 && get_Balance_Factor(new_root->right) <= 0) return leftRotate(new_root);
if(bf > 1 && get_Balance_Factor(new_root->left) < 0){
new_root->left = leftRotate(new_root->left);
return rightRotate(new_root);
}
if(bf < -1 && get_Balance_Factor(new_root->right) > 0){
new_root->right = rightRotate(new_root->right);
return leftRotate(new_root);
}
return new_root;
}
};
int main() {
scanf("%d", &n);
AVL tree;
for(int i = 0; i < n; i++) {
int a, b; scanf("%d%d", &a, &b);
if(tree.empty()) {
cur = a;
tree.add(b);
continue;
}
if(a == cur) tree.add(b);
else {
int prev = tree.find_prev(b);
int next = tree.find_next(b);
if(prev == -1) {
ans += abs(next - b);
tree.remove(next);
}
else if(next == -1) {
ans += abs(prev - b);
tree.remove(prev);
}
else{
if(abs(prev - b) <= abs(next - b)) {
ans += abs(prev - b);
tree.remove(prev);
}
else{
ans += abs(next - b);
tree.remove(next);
}
}
}
}
printf("%lld\n", ans);
return 0;
}