#include <algorithm>
#include <bits/stdc++.h>
#include <utility>
using namespace std;
#define ll int
#define ff first
#define ss second
vector<int> h;
int n, mxd, d;
vector<vector<vector<int>>> A;
vector<vector<pair<int, int>>> add;
vector<vector<ll>> tA;
void init(int N, int D, int H[]) {
n=N; mxd=D; h.resize(n);
for (int i=0; i<n; i++) h[i]=H[i];
}
void curseChanges(int U, int u[], int v[]) {
A.resize(n); tA.resize(n); d=U; add.resize(n);
for (int i=0; i<n; i++) {
A[i].push_back(vector<int>()); tA[i].push_back(0);
}
set<ll> temp; vector<int> t2;
for (int i=0; i<U; i++){
temp.clear();
for (auto x:A[u[i]].back()) temp.insert(x);
ll lim=tA[u[i]].back(), ind=add[u[i]].size()-1;
while (ind>=0 and add[u[i]][ind].ff>=lim){
temp.insert(add[u[i]][ind].ss); ind--;
}
if (temp.count(v[i])){
// cout << u[i] << " - " << v[i] << " -> ";
t2.clear();
for (auto x:A[u[i]].back()){
if (x==v[i]) continue;
t2.push_back(x);
}
ind=add[u[i]].size()-1;
while (ind>=0 and add[u[i]][ind].ff>=tA[u[i]].back()) {
if (add[u[i]][ind].ss==v[i]) {ind--; continue;}
t2.push_back(add[u[i]][ind].ss); ind--;
}
// cout << u[i] << ": ";
// for (auto x:t2) cout << x << " ";
// cout << "| ";
A[u[i]].push_back(t2);
t2.clear();
for (auto x:A[v[i]].back()){
if (x==u[i]) continue;
t2.push_back(x);
}
ind=add[v[i]].size()-1;
while (ind>=0 and add[v[i]][ind].ff>=tA[v[i]].back()) {
if (add[v[i]][ind].ss==u[i]) {ind--; continue;}
t2.push_back(add[v[i]][ind].ss); ind--;
}
// cout << v[i] << ": ";
// for (auto x:t2) cout << x << " ";
// cout << endl;
A[v[i]].push_back(t2);
tA[u[i]].push_back(i+1); tA[v[i]].push_back(i+1);
}else{
// cout << u[i] << "+" << v[i] << endl;
add[u[i]].push_back({i, v[i]});
add[v[i]].push_back({i, u[i]});
}
}
}
vector<int> hs;
int question(int x, int y, int v) {
// cout << x << " " << y << " " << v << endl;
ll indx = upper_bound(tA[x].begin(), tA[x].end(), v)-tA[x].begin()-1;
hs.clear(); for (auto u:A[x][indx]){
hs.push_back(h[u]);
// cout << h[u] << " ";
}
indx=lower_bound(add[x].begin(), add[x].end(), make_pair(tA[x][indx], 0))-add[x].begin();
for (ll i=indx; i<(ll)add[x].size() and add[x][i].ff<=v; i++){
hs.push_back(h[add[x][i].ss]);
// cout << add[x][i].ss << " ";
}
// cout << endl;
if (hs.empty()) return 1e9;
sort(hs.begin(), hs.end());
hs.erase(unique(hs.begin(), hs.end()), hs.end());
int mn=1e9;
int indy = upper_bound(tA[y].begin(), tA[y].end(), v)-tA[y].begin()-1;
for (auto u:A[y][indy]){
// cout << u << " ";
ll ind = lower_bound(hs.begin(), hs.end(), h[u])-hs.begin();
if (ind<(ll)hs.size()){
mn=min(mn, hs[ind]-h[u]);
}
if (ind){
mn=min(mn, h[u]-hs[ind-1]);
}
}
indy=lower_bound(add[y].begin(), add[y].end(), make_pair(tA[y][indy], 0))-add[y].begin();
for (ll i=indy; i<(ll)add[y].size() and add[y][i].ff<=v; i++){
ll u=add[y][i].ss;
// cout << u << " ";
ll ind = lower_bound(hs.begin(), hs.end(), h[u])-hs.begin();
if (ind<(ll)hs.size()){
mn=min(mn, hs[ind]-h[u]);
}
if (ind){
mn=min(mn, h[u]-hs[ind-1]);
}
}
// cout << endl;
return mn;
}
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