#include <iostream>
#include <fstream>
#include <cstdlib>
#include <ctime>
#include <vector>
using namespace std;
ifstream fin("mergeheap.in");
ofstream fout("mergeheap.out");
struct TreapNode {
int key, priority;
TreapNode *left, *right;
};
TreapNode* rightRotate(TreapNode* y) {
TreapNode *x = y->left;
TreapNode *T2 = x->right;
x->right = y;
y->left = T2;
return x;
}
TreapNode* leftRotate(TreapNode* x) {
TreapNode *y = x->right;
TreapNode *T2 = y->left;
y->left = x;
x->right = T2;
return y;
}
TreapNode* newNode(int key) {
TreapNode* temp = new TreapNode;
temp->key = key;
temp->priority = rand();
temp->left = temp->right = NULL;
return temp;
}
TreapNode* search(TreapNode* root, int key) {
if (!root || root->key == key) return root;
if (key < root->key) return search(root->left, key);
return search(root->right, key);
}
TreapNode* insert(TreapNode* root, int key) {
if (!root) return newNode(key);
if (key < root->key) {
root->left = insert(root->left, key);
if (root->left->priority > root->priority)
root = rightRotate(root);
} else {
root->right = insert(root->right, key);
if (root->right->priority > root->priority)
root = leftRotate(root);
}
return root;
}
TreapNode* deleteNode(TreapNode* root, int key) {
if (!root) return root;
if (key < root->key)
root->left = deleteNode(root->left, key);
else if (key > root->key)
root->right = deleteNode(root->right, key);
else {
if (!root->left) {
TreapNode* temp = root->right;
delete root;
return temp;
} else if (!root->right) {
TreapNode* temp = root->left;
delete root;
return temp;
}
if (root->left->priority < root->right->priority) {
root = leftRotate(root);
root->left = deleteNode(root->left, key);
} else {
root = rightRotate(root);
root->right = deleteNode(root->right, key);
}
}
return root;
}
int findMaxLE(TreapNode* root, int x) {
int res = -1e9 - 5;
while (root) {
if (root->key <= x) {
res = root->key;
root = root->right;
} else {
root = root->left;
}
}
return res;
}
int findMinGE(TreapNode* root, int x) {
int res = 1e9 + 5;
while (root) {
if (root->key >= x) {
res = root->key;
root = root->left;
} else {
root = root->right;
}
}
return res;
}
void rangeQuery(TreapNode* root, int x, int y, vector<int>& result) {
if (!root) return;
if (x < root->key)
rangeQuery(root->left, x, y, result);
if (x <= root->key && root->key <= y)
result.push_back(root->key);
if (y > root->key)
rangeQuery(root->right, x, y, result);
}
int getMaxElement(TreapNode* root) {
if (!root) return -1e9 - 5;
while (root->right) {
root = root->right;
}
return root->key;
}
pair<TreapNode*, TreapNode*> split(TreapNode* root, int key) {
if (!root) return {nullptr, nullptr};
if (root->key <= key) {
pair<TreapNode*, TreapNode*> rightSplit = split(root->right, key);
root->right = rightSplit.first;
return {root, rightSplit.second};
} else {
pair<TreapNode*, TreapNode*> leftSplit = split(root->left, key);
root->left = leftSplit.second;
return {leftSplit.first, root};
}
}
TreapNode* mergeTreaps(TreapNode* t1, TreapNode* t2) {
if (!t1) return t2;
if (!t2) return t1;
if (t1->priority < t2->priority) {
// Swap t1 și t2
swap(t1, t2);
}
pair<TreapNode*, TreapNode*> splitResult = split(t2, t1->key);
t1->left = mergeTreaps(t1->left, splitResult.first);
t1->right = mergeTreaps(t1->right, splitResult.second);
return t1;
}
int main() {
srand(time(0)); // pentru randomizarea priorităților în Treap
int N, Q;
fin >> N >> Q;
vector<TreapNode*> heap(N + 1, nullptr);
for (int i = 0; i < Q; ++i) {
int op;
fin >> op;
if (op == 1) {
int m, x;
fin >> m >> x;
heap[m] = insert(heap[m], x);
} else if (op == 2) {
int m;
fin >> m;
int maxVal = getMaxElement(heap[m]);
fout << maxVal << '\n';
heap[m] = deleteNode(heap[m], maxVal);
} else if (op == 3) {
int a, b;
fin >> a >> b;
if (a == b) continue;
// Reunirea treaps-urilor a și b
heap[a] = mergeTreaps(heap[a], heap[b]);
heap[b] = nullptr;
}
}
fin.close();
fout.close();
return 0;
}