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;
vector<pair<int ,int>> edges;
struct DSU
{
vector<int> e;
vector<int> col;
vector<vector<int>> children;
bool bip;
vector<vector<int>> hist;
void init(int n)
{
bip = 1;
e.assign(n , -1);
col.assign(n , 0);
children.assign(n , {});
for(int i = 0 ; i < n ;i++)
children[i].push_back(i);
}
int get(int x)
{
return (e[x] < 0 ? x : get(e[x]));
}
bool is_bip()
{
return bip;
}
void unite(int u , int v)
{
if(u == v)
return ;
bool same_col = col[u] == col[v];
u = get(u) , v = get(v);
if(u == v)
{
hist.push_back({-1 , -1 , -1 , -1 ,same_col ,bip});
if(same_col)
{
bip = 0;
}
return ;
}
if(e[u] > e[v])
{
swap(u , v);
}
hist.push_back({u , v , e[u] , e[v] ,same_col, bip});
e[u]+=e[v];
e[v] = u;
for(auto node : children[v])
{
col[node]^=same_col;
children[u].push_back(node);
}
children[v].clear();
}
void roll_back()
{
auto last = hist.back();
hist.pop_back();
if(last[0] == -1)
{
bip = last.back();
}
else
{
e[last[0]] = last[2];
e[last[1]] = last[3];
for(int i = 0 ; i < (-last[3]) ; i++)
{
auto tp = children[last[0]].back();
children[last[0]].pop_back();
children[last[1]].push_back(tp);
col[tp]^=last[4];
}
reverse(children[last[1]].begin() , children[last[1]].end());
}
}
void roll_back(int x)
{
while (x--)
{
roll_back();
}
}
void clear()
{
roll_back((int)hist.size());
}
}dsu;
int n , m , q;
vector<int> nxt;
void solve(int l , int r , int optl , int optr)
{
if(l > r)
return ;
int mid = (l + r)/2;
int ops = 0;
for(int i = l ; i < mid ; i++)
{
ops++;
dsu.unite(edges[i].first , edges[i].second);
}
int opt = optr;
for(int i = optr ; i >= max(mid , optl) ; i--)
{
if(!dsu.is_bip())
{
break;
}
opt = i;
if(i < m)
{
ops++;
dsu.unite(edges[i].first , edges[i].second);
}
}
nxt[mid] = opt;
dsu.roll_back(ops);
ops = 0;
for(int i = opt + 1 ; i <= optr ;i++)
{
if(i < m)
{
dsu.unite(edges[i].first , edges[i].second);
ops++;
}
}
solve(l , mid - 1 , optl , opt);
dsu.roll_back(ops);
ops = 0;
for(int i = l ; i <= mid ; i++)
{
ops++;
dsu.unite(edges[i].first , edges[i].second);
}
solve(mid + 1 , r , opt , optr);
dsu.roll_back(ops);
ops = 0;
}
signed main()
{
cin>>n>>m>>q;
nxt.assign(m , m);
dsu.init(n);
for(int i = 0 ; i < m ; i++)
{
int u , v;
cin>>u>>v;
u-- , v--;
edges.push_back({u , v});
}
solve(0 , m - 1 , 0 , m);
for(int i = 0 ; i <n ; i++)
{
assert(dsu.e[i] == -1);
}
for(int i = 0 ; i< q; i++)
{
int l , r;
cin>>l>>r;
l-- , r--;
if(nxt[l] <= r)
{
cout<<"NO\n";
}
else
{
cout<<"YES\n";
}
}
}
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