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;
int n,m,k;
pair<int,int> e[200001],q[200001];
void read()
{
cin>>n>>m>>k;
for(int i=1;i<=m;i++)
{
int x,y;
cin>>x>>y;
e[i]={x,y};
}
for(int i=1;i<=k;i++)
{
int l,r;
cin>>l>>r;
q[i]={l,r};
}
}
struct event
{
int x,y;
pair<int,int> p;
event(){}
event(int _x,int _y,pair<int,int> _p)
{
x=_x;
y=_y;
p=_p;
}
};
pair<int,int> p[200001];
stack<event> s;
int sz[200001];
void rollback()
{
event t=s.top();
s.pop();
p[t.x]=t.p;
sz[t.y]-=sz[t.x];
}
pair<int,int> parent(int x)
{
if(x==p[x].first)return p[x];
pair<int,int> curr=parent(p[x].first);
curr.second+=p[x].second;
return curr;
}
void unite(int x,int y,int&cnt, bool&cyc)
{
//cout<<x<<" "<<y<<endl;
pair<int,int> px=parent(x);
pair<int,int> py=parent(y);
x=px.first;
y=py.first;
if(x!=y)
{
if(sz[x]>sz[y])swap(x,y);
s.push({x,y,p[x]});
p[x]={y,px.second+py.second+1};
sz[y]+=sz[x];
cnt++;
}
else
{
if(px.second%2==py.second%2)
{
//cout<<"hje"<<endl;
cyc=1;
}
}
}
int c[200001];
void rec(int l,int r,int optl,int optr)
{
if(l>r)return;
//cout<<l<<" "<<r<<" "<<optl<<" "<<optr<<endl;
if(optl==optr)
{
for(int i=l;i<=r;i++)
c[i]=optr;
return;
}
int mid=(l+r)/2;
int cnt1=0;
bool ans=0;
for(int i=l;i<mid;i++)
unite(e[i].first,e[i].second,cnt1,ans);
int j=optr;
int cnt2=0;
while(!ans&&j>=optl)
{
if(j!=m+1)
unite(e[j].first,e[j].second,cnt2,ans);
j--;
}
j++;
while(cnt2)
{
cnt2--;
rollback();
}
while(cnt1)
{
cnt1--;
rollback();
}
c[mid]=j;
//cout<<"! "<<mid<<" "<<j<<endl;
ans=0;
int cnt3=0;
for(int i=j+1;i<=min(m,optr);i++)
unite(e[i].first,e[i].second,cnt3,ans);
if(ans)rec(l,mid-1,j,j);
else rec(l,mid-1,optl,j);
while(cnt3)
{
cnt3--;
rollback();
}
ans=0;
int cnt4=0;
for(int i=l;i<=mid;i++)
unite(e[i].first,e[i].second,cnt4,ans);
if(ans)rec(mid+1,r,optr,optr);
else rec(mid+1,r,j,optr);
while(cnt4)
{
cnt4--;
rollback();
}
}
void solve()
{
for(int i=1;i<=k;i++)
{
if(q[i].second<c[q[i].first])cout<<"YES"<<endl;
else cout<<"NO"<<endl;
}
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
read();
for(int i=1;i<=n;i++)
p[i]={i,0},sz[i]=1;
rec(1,m,1,m+1);
solve();
return 0;
}
/*
6 8 2
1 3
1 5
1 6
2 5
2 6
3 4
3 5
5 6
1 8
8 8
*/
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