#include <bits/stdc++.h>
using namespace std;
#define FOR(i, a, b) for(int i = a; i <= b; ++i)
#define REP(i, a, b) for(int i = a; i >= b; --i)
#define mp make_pair
#define all(v) v.begin(), v.end()
#define uni(v) v.erase(unique(all(v)), v.end())
const int mod = 1e9 + 7;
inline bool maximize(int &u, int v){
if(v > u){
u = v;
return true;
}
return false;
}
inline bool minimize(int &u, int v){
if(v < u){
u = v;
return true;
}
return false;
}
inline bool maximizell(long long &u, long long v){
if(v > u){
u = v;
return true;
}
return false;
}
inline bool minimizell(long long &u, long long v){
if(v < u){
u = v;
return true;
}
return false;
}
inline int fastPow(int a, int n){
if(n == 0) return 1;
int t = fastPow(a, n >> 1);
t = 1ll * t * t % mod;
if(n & 1) t = 1ll * t * a % mod;
return t;
}
inline void add(int &u, int v){
u += v;
if(u >= mod) u -= mod;
}
inline void sub(int &u, int v){
u -= v;
if(u < 0) u += mod;
}
const int maxN = 5e5 + 5;
int n, m, l[maxN], r[maxN], q, s[maxN], e[maxN];
namespace subtask1{
bool check(){
return max(n, max(m, q)) <= 2000;
}
bitset<2001> f[2001];
vector<int> adj[2001];
void solve(){
FOR(i, 1, m){
adj[l[i]].emplace_back(r[i]);
}
REP(i, n, 1){
for(int r : adj[i]){
f[i].set(r);
FOR(x, i + 1, r + 1)f[i] |= f[x], f[i];
}
}
FOR(i, 1, q){
if(f[s[i]][e[i]])cout << "YES\n";
else cout << "NO\n";
}
}
}
namespace ac{
struct Interval{
vector<int> it, lz;
Interval(int _n = 0, int v = 0){
n = _n;
it.resize(n << 2, v);
lz.resize(n << 2, v);
}
void push(int id){
int &z = lz[id];
if(z == 0) return;
maximize(lz[id << 1], z);
maximize(lz[id << 1 | 1], z);
maximize(it[id << 1], z);
maximize(it[id << 1 | 1], z);
z = 0;
return;
}
void modify(int id, int l, int r, int u, int v, int val){
if(l > v || r < u)return;
if(l >= u && r <= v){
maximize(it[id], val);
maximize(lz[id], val);
return;
}
int mid = l + r >> 1;
push(id);
modify(id << 1, l, mid, u, v, val);
modify(id << 1 | 1, mid + 1, r, u, v, val);
it[id] = min(it[id << 1], it[id << 1 | 1]);
}
int get(int id, int l, int r, int u, int v){
if(l >= u && r <= v) return it[id];
int mid = l + r >> 1;
push(id);
if(v <= mid) return get(id << 1, l, mid, u, v);
if(u > mid) return get(id << 1 | 1, mid + 1, r, u, v);
return min(get(id << 1, l, mid, u, v), get(id << 1 | 1, mid + 1, r, u, v));
}
};
vector<int> start[maxN];
vector<int> query[maxN];
bool answer[maxN];
void solve(){
Interval tree = Interval(n, 0);
FOR(i, 1, m){
start[r[i]].emplace_back(l[i]);
}
FOR(i, 1, q){
query[e[i]].emplace_back(i);
}
FOR(r, 1, n){
for(int l : start[r])tree.modify(1, 1, n, l, r, l);
for(int id : query[r]){
answer[id] = tree.get(1, 1, n, s[id], r) >= s[id];
}
}
FOR(id, 1, q)cout << (answer[id] ? "YES" : "NO") << "\n";
}
}
void process(){
cin >> n >> m >> q;
FOR(i, 1, m){
cin >> l[i] >> r[i];
}
FOR(i, 1, q){
cin >> s[i] >> e[i];
}
// if(subtask1 :: check()) return subtask1 :: solve();
return ac :: solve();
}
#define NAME "Curtains"
int main(){
if(fopen(NAME".inp", "r")){
freopen(NAME".inp", "r", stdin);
freopen(NAME".out", "w", stdout);
}
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int t = 1;
// cin >> t;
while(t--)
process();
cerr << '\n' << "Time elapsed: " << (1.0 * clock() / CLOCKS_PER_SEC) << " s\n" ;
return 0;
}
Compilation message (stderr)
curtains.cpp: In function 'int main()':
curtains.cpp:150:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
150 | freopen(NAME".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
curtains.cpp:151:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
151 | freopen(NAME".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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