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 int long long
const int mod = 1e9+7;
#define forn(i,n) for(int i=0; i<n; i++)
#define readv(a,n) vector<int>a(n);forn(i,n)cin>>a[i];
#define readvv(a,n,m) vector<vector<int>> a(n,vector<int>(m));forn(i,n)forn(j,m)cin>>a[i][j];
#define all(a) a.begin(), a.end()
#define _max(x,y) x = max(x,y)
#define _min(x,y) x = min(x,y)
// #define f first
// #define s second
const int N = 2e5+4;
const int SQRT = 460;
int ans[N];
struct qr{
int l, r, i;
bool operator<(qr b){
return make_pair(l/SQRT, r) < make_pair(b.l/SQRT,b.r);
}
};
vector<qr> queries[SQRT];
int edges[N][2];
struct DSU{
vector<int> par;
vector<int> size;
stack<int> rb;
int cmp;
DSU(int n){
par.resize(n); for(int i=0; i<n; ++i) par[i]=i;
size.resize(n,1); cmp = n;
}
int get(int p){
return par[p]==p? p: get(par[p]);
}
void unite(int a, int b){
a = get(a); b = get(b);
if (a==b){
rb.push(-1);
return;
}
cmp--;
if (size[a] > size[b]) swap(a,b);
rb.push(a);
size[b]+=size[a];
par[a] = b;
}
int conn(int a, int b){
return get(a) == get(b);
}
void rollback(){
int f = rb.top();
rb.pop();
if (f==-1) return;
cmp++;
size[par[f]] -= size[f];
par[f] = f;
}
};
void solve(){
int n,m,q; cin>>n>>m>>q;
for (int i=0; i<m; i++){
int a,b; cin>>a>>b; a--;b--; edges[i][0]=a; edges[i][1] = b;
}
for (int i=0; i<q; i++){
int l,r; cin>>l>>r; l--; r--;
qr p; p.l=l;p.r=r;p.i=i;
queries[l/SQRT].push_back(p);
}
for (int i=0; i<SQRT; i++) sort(queries[i].begin(), queries[i].end());
DSU dsu(2*n);
int fM =0;
for (int t=0; t<SQRT; t++){
if (t*SQRT >= m) break;
int fm = 0;
int i = m-1; int j = queries[t].size()-1;
while (i>=0){
if (j<0) break;
qr p = queries[t][j];
while (p.r == i){
int f = 0;
for (int ll=t*SQRT; ll<p.l; ll++){
if (dsu.conn(edges[ll][0],edges[ll][1])) f++;
dsu.unite(edges[ll][0]+n, edges[ll][1]);
dsu.unite(edges[ll][0], edges[ll][1]+n);
}
for (int ll=t*SQRT; ll<p.l; ll++){
dsu.rollback(); dsu.rollback();
}
if (f || fm || fM) ans[p.i] = 1;
j--;
if (j<0) break;
p = queries[t][j];
}
if (j<0) break;
fm += dsu.conn(edges[i][0], edges[i][1]);
dsu.unite(edges[i][0] + n, edges[i][1]);
dsu.unite(edges[i][0], edges[i][1] + n);
i--;
}
for (int ll=2*(i+1); ll<2*m; ll++) dsu.rollback();
for (int ll=SQRT*t; ll<min(m, SQRT*t + SQRT); ll++){
fM += dsu.conn(edges[ll][0], edges[ll][1]);
dsu.unite(edges[ll][0] + n, edges[ll][1]);
dsu.unite(edges[ll][0], edges[ll][1] + n);
}
}
for (int i=0;i<q; i++) cout<<(ans[i]?"YES\n":"NO\n");
}
signed main(){
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
int t=1;
while(t--){
solve();
}
return 0;
}
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