This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define all(x) (x).begin(),(x).end()
#define sz(x) (int)(x).size()
#define show(x) cerr << #x << " is " << x << endl;
#define show2(x,y) cerr << #x << " is " << x << " " << #y << " is " << y << endl;
typedef pair<int,int> ii;
const int MAXN = 500005;
const int inf = (1<<24);
vector<int> toRight[MAXN];
vector<int> toLeft[MAXN];
int closest[MAXN];
struct query{ int l, r, id; };
int ans[MAXN];
void dnc(int s, int e, vector<query> queries){
if(queries.empty()) return;
if(s == e){
bool can = false;
for(int x : toRight[s]) if(x == e) can = true;
for(query q : queries) ans[q.id] = can;
return;
}
int m = (s+e)/2;
vector<ii> mono;
for(int i = m;i >= s;i--){
int beforeR = -1;
int afterR = inf;
for(int r : toRight[i]){
if(r > e) continue;
if(r >= m) afterR = min(afterR, r);
else beforeR = max(beforeR, r);
}
closest[i] = inf;
if(afterR != inf) closest[i] = min(closest[i], afterR);
while(not mono.empty()){
ii t = mono.back();
if(t.first <= beforeR+1 or closest[i] <= t.second){
mono.pop_back();
closest[i] = min(closest[i], t.second);
}
else break;
}
mono.push_back(ii(i,closest[i]));
}
mono.clear();
for(int i = m+1;i <= e;i++){
int beforeL = inf;
int afterL = -1;
for(int l : toLeft[i]){
if(l < s) continue;
if(l <= m+1) afterL = max(afterL, l);
else beforeL = min(beforeL, l);
}
closest[i] = -1;
if(afterL <= m+1) closest[i] = max(closest[i], afterL);
while(not mono.empty()){
ii t = mono.back();
if(beforeL-1 <= t.first or closest[i] >= t.second){
mono.pop_back();
closest[i] = max(closest[i], t.second);
}
else break;
}
mono.push_back(ii(i,closest[i]));
}
vector<query> leftqueries, rightqueries, now;
for(query q : queries){
if(q.r <= m) leftqueries.push_back(q);
else if(q.l >= m+1) rightqueries.push_back(q);
else{
ans[q.id] = (closest[q.l] <= q.r and closest[q.r] >= q.l);
}
}
//if(s == 5 and e == 8) show2(closest[6], closest[8]);
dnc(s, m, leftqueries);
dnc(m+1, e, rightqueries);
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(0);
int n, m, q; cin >> n >> m >> q;
for(int i = 1;i <= m;i++){
int l, r; cin >> l >> r;
toRight[l].push_back(r);
toLeft[r].push_back(l);
}
vector<query> queries;
for(int i = 1;i <= q;i++){
int l, r; cin >> l >> r;
queries.push_back({l,r,i});
}
dnc(1,n,queries);
for(int i = 1;i <= q;i++){
if(ans[i]) cout << "YES\n";
else cout << "NO\n";
}
}
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