#include<bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx2")
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++)
{
e[i] = i;
children[i].push_back(i);
}
}
int get(int x)
{
return 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((int)children[u].size() < (int)children[v].size())
{
swap(u , v);
}
hist.push_back({u , v , e[u] , e[v] ,same_col, bip});
while(!children[v].empty())
{
auto node = children[v].back();
children[v].pop_back();
e[node] = u;
col[node]^=same_col;
children[u].push_back(node);
}
}
void roll_back()
{
auto last = hist.back();
hist.pop_back();
if(last[0] == -1)
{
bip = last.back();
}
else
{
for(int i = 0 ; i < (-last[3]) ; i++)
{
auto tp = children[last[0]].back();
children[last[0]].pop_back();
e[tp] = last[1];
children[last[1]].push_back(tp);
col[tp]^=last[4];
}
}
}
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()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
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< q; i++)
{
int l , r;
cin>>l>>r;
l-- , r--;
if(nxt[l] <= r)
{
cout<<"NO\n";
}
else
{
cout<<"YES\n";
}
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
600 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
600 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
600 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Incorrect |
209 ms |
23228 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
600 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
600 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
600 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |