#include <bits/stdc++.h>
using namespace std;
void main_program();
signed main(){
ios_base::sync_with_stdio(0); cin.tie(0);
main_program();
}
using ii = pair<int, int>;
struct DSU_Rollback_Bipartite{
using Change = pair<int*, int>;
using Changes = vector<Change>;
vector<int> parent, size;
vector<Changes> changes;
int is_bipartite;
int _n;
DSU_Rollback_Bipartite() {}
DSU_Rollback_Bipartite(int N): parent(N), size(N, 1), _n(N / 2) {
iota(parent.begin(), parent.end(), 0);
is_bipartite = 1;
}
int get(int x){
return (x == parent[x]) ? x : get(parent[x]);
}
void large_merge(int a, int b){
changes.emplace_back();
merge(a, b + _n);
merge(a + _n, b);
}
void merge(int a, int b){
a = get(a); b = get(b);
if (size[a] < size[b]) swap(a, b);
changes.back().emplace_back(&parent[b], parent[b]);
changes.back().emplace_back(&size[a], size[a]);
parent[b] = a;
size[a] += size[b];
int other = (a >= _n) ? (a - _n) : (a + _n);
if (get(a) == get(other)){
changes.back().emplace_back(&is_bipartite, is_bipartite);
is_bipartite = 0;
}
}
void rollback(){
for (auto [pointer, value]: changes.back()){
*pointer = value;
}
changes.pop_back();
}
};
struct DSU_Queue_Rollback{
using Query = pair<ii, int>;
vector<Query> st;
DSU_Rollback_Bipartite ds;
int bottom, _n;
DSU_Queue_Rollback() {}
DSU_Queue_Rollback(int N): ds(N * 2), bottom(0), _n(N) {}
void merge(int a, int b){
ds.large_merge(a, b);
st.push_back({{a, b}, 0});
}
int is_bipartite(){
return ds.is_bipartite;
}
void advance_bottom(){
while (bottom < (int)st.size() && st[bottom].second == 0) bottom++;
}
void flip_all(){
for (int i = 0; i < (int)st.size(); i++) ds.rollback();
reverse(st.begin(), st.end());
for (int i = 0; i < (int)st.size(); i++){
ds.large_merge(st[i].first.first, st[i].first.second);
st[i].second = 1;
}
bottom = 0;
}
void fix(){
if (st.empty() || st.back().second == 1) return;
vector<Query> qA, qB;
advance_bottom();
while ((qA.empty() && qB.empty()) ||
(qA.size() != qB.size() && (int)st.size() > bottom)){
if (st.back().second == 1) qA.push_back(st.back());
else qB.push_back(st.back());
ds.rollback();
st.pop_back();
}
reverse(qA.begin(), qA.end());
reverse(qB.begin(), qB.end());
for (auto query: qB){
ds.large_merge(query.first.first, query.first.second);
st.push_back(query);
}
for (auto query: qA){
ds.large_merge(query.first.first, query.first.second);
st.push_back(query);
}
advance_bottom();
}
void queue_rollback(){
advance_bottom();
if (bottom == (int)st.size()) flip_all();
fix();
ds.rollback();
st.pop_back();
}
};
int n, m, q;
vector<ii> edges;
DSU_Queue_Rollback dsu;
vector<int> best;
void main_program(){
cin >> n >> m >> q;
edges.resize(m);
for (int i = 0; i < m; i++){
int x, y; cin >> x >> y;
x--; y--;
edges[i] = {x, y};
}
best.resize(m);
dsu = DSU_Queue_Rollback(n);
for (int i = m-1; i >= 0; i--){
dsu.merge(edges[i].first, edges[i].second);
}
int crr = m + 1;
for (int i = m-1; i >= 0; i--){
while (!dsu.is_bipartite()){
if (crr < 0) break;
dsu.queue_rollback();
crr--;
}
best[i] = crr;
dsu.merge(edges[i].first, edges[i].second);
}
for (int _ = 0; _ < q; _++){
int x, y; cin >> x >> y;
x--; y--;
if (x <= best[y]) cout << "NO\n";
else cout << "YES\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Runtime error |
1 ms |
560 KB |
Execution killed with signal 11 |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Runtime error |
1 ms |
560 KB |
Execution killed with signal 11 |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Runtime error |
122 ms |
67984 KB |
Execution killed with signal 11 |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Runtime error |
1 ms |
560 KB |
Execution killed with signal 11 |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Runtime error |
1 ms |
560 KB |
Execution killed with signal 11 |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Runtime error |
1 ms |
560 KB |
Execution killed with signal 11 |
4 |
Halted |
0 ms |
0 KB |
- |