#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<pair<int ,int>> e;
vector<int> col;
bool bip;
vector<vector<int>> hist;
void init(int n)
{
bip = 1;
e.assign(n , {0 , 0});
for(int i = 0 ; i < n ; i++)
e[i].first = i;
}
pair<int ,int> get(int x)
{
if(e[x].first != x)
{
int len = e[x].second;
pair<int ,int> p = get(e[x].first);
(p.second+=len)%=2;
return p;
}
return e[x];
}
bool is_bip()
{
return bip;
}
void unite(int u , int v)
{
if(u == v)
return ;
pair<int ,int> uu = get(u) , vv = get(v);
if(uu.first == vv.first)
{
hist.push_back({-1 , bip});
if(uu.second == vv.second)
{
bip = 0;
}
return ;
}
if(rand()%2)
{
swap(uu , vv);
}
hist.push_back({vv.first , e[vv.first].first , e[vv.first].second});
e[vv.first].first = uu.first;
e[vv.first].second = (uu.second + vv.second + 1)%2;
}
void roll_back()
{
auto last = hist.back();
hist.pop_back();
if(last[0] == -1)
{
bip = last.back();
}
else
{
e[last[0]] = {last[1] , last[2]};
}
}
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 |
348 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 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
384 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
472 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 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 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
384 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
472 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
2 ms |
544 KB |
Output is correct |
30 |
Correct |
5 ms |
600 KB |
Output is correct |
31 |
Correct |
9 ms |
604 KB |
Output is correct |
32 |
Correct |
9 ms |
556 KB |
Output is correct |
33 |
Correct |
9 ms |
604 KB |
Output is correct |
34 |
Correct |
5 ms |
604 KB |
Output is correct |
35 |
Correct |
6 ms |
604 KB |
Output is correct |
36 |
Correct |
21 ms |
548 KB |
Output is correct |
37 |
Correct |
8 ms |
604 KB |
Output is correct |
38 |
Correct |
5 ms |
604 KB |
Output is correct |
39 |
Correct |
11 ms |
604 KB |
Output is correct |
40 |
Correct |
4 ms |
600 KB |
Output is correct |
41 |
Correct |
4 ms |
604 KB |
Output is correct |
42 |
Correct |
4 ms |
604 KB |
Output is correct |
43 |
Correct |
10 ms |
604 KB |
Output is correct |
44 |
Correct |
11 ms |
604 KB |
Output is correct |
45 |
Correct |
7 ms |
604 KB |
Output is correct |
46 |
Correct |
6 ms |
440 KB |
Output is correct |
47 |
Correct |
13 ms |
604 KB |
Output is correct |
48 |
Correct |
6 ms |
604 KB |
Output is correct |
49 |
Correct |
7 ms |
604 KB |
Output is correct |
50 |
Correct |
8 ms |
604 KB |
Output is correct |
51 |
Correct |
11 ms |
584 KB |
Output is correct |
52 |
Correct |
11 ms |
604 KB |
Output is correct |
53 |
Correct |
9 ms |
604 KB |
Output is correct |
54 |
Correct |
7 ms |
604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Execution timed out |
2079 ms |
10080 KB |
Time limit exceeded |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 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 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
384 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
472 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Execution timed out |
2079 ms |
10080 KB |
Time limit exceeded |
30 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 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 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
384 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
472 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
2 ms |
544 KB |
Output is correct |
30 |
Correct |
5 ms |
600 KB |
Output is correct |
31 |
Correct |
9 ms |
604 KB |
Output is correct |
32 |
Correct |
9 ms |
556 KB |
Output is correct |
33 |
Correct |
9 ms |
604 KB |
Output is correct |
34 |
Correct |
5 ms |
604 KB |
Output is correct |
35 |
Correct |
6 ms |
604 KB |
Output is correct |
36 |
Correct |
21 ms |
548 KB |
Output is correct |
37 |
Correct |
8 ms |
604 KB |
Output is correct |
38 |
Correct |
5 ms |
604 KB |
Output is correct |
39 |
Correct |
11 ms |
604 KB |
Output is correct |
40 |
Correct |
4 ms |
600 KB |
Output is correct |
41 |
Correct |
4 ms |
604 KB |
Output is correct |
42 |
Correct |
4 ms |
604 KB |
Output is correct |
43 |
Correct |
10 ms |
604 KB |
Output is correct |
44 |
Correct |
11 ms |
604 KB |
Output is correct |
45 |
Correct |
7 ms |
604 KB |
Output is correct |
46 |
Correct |
6 ms |
440 KB |
Output is correct |
47 |
Correct |
13 ms |
604 KB |
Output is correct |
48 |
Correct |
6 ms |
604 KB |
Output is correct |
49 |
Correct |
7 ms |
604 KB |
Output is correct |
50 |
Correct |
8 ms |
604 KB |
Output is correct |
51 |
Correct |
11 ms |
584 KB |
Output is correct |
52 |
Correct |
11 ms |
604 KB |
Output is correct |
53 |
Correct |
9 ms |
604 KB |
Output is correct |
54 |
Correct |
7 ms |
604 KB |
Output is correct |
55 |
Execution timed out |
2015 ms |
10124 KB |
Time limit exceeded |
56 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 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 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
384 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
472 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
2 ms |
544 KB |
Output is correct |
30 |
Correct |
5 ms |
600 KB |
Output is correct |
31 |
Correct |
9 ms |
604 KB |
Output is correct |
32 |
Correct |
9 ms |
556 KB |
Output is correct |
33 |
Correct |
9 ms |
604 KB |
Output is correct |
34 |
Correct |
5 ms |
604 KB |
Output is correct |
35 |
Correct |
6 ms |
604 KB |
Output is correct |
36 |
Correct |
21 ms |
548 KB |
Output is correct |
37 |
Correct |
8 ms |
604 KB |
Output is correct |
38 |
Correct |
5 ms |
604 KB |
Output is correct |
39 |
Correct |
11 ms |
604 KB |
Output is correct |
40 |
Correct |
4 ms |
600 KB |
Output is correct |
41 |
Correct |
4 ms |
604 KB |
Output is correct |
42 |
Correct |
4 ms |
604 KB |
Output is correct |
43 |
Correct |
10 ms |
604 KB |
Output is correct |
44 |
Correct |
11 ms |
604 KB |
Output is correct |
45 |
Correct |
7 ms |
604 KB |
Output is correct |
46 |
Correct |
6 ms |
440 KB |
Output is correct |
47 |
Correct |
13 ms |
604 KB |
Output is correct |
48 |
Correct |
6 ms |
604 KB |
Output is correct |
49 |
Correct |
7 ms |
604 KB |
Output is correct |
50 |
Correct |
8 ms |
604 KB |
Output is correct |
51 |
Correct |
11 ms |
584 KB |
Output is correct |
52 |
Correct |
11 ms |
604 KB |
Output is correct |
53 |
Correct |
9 ms |
604 KB |
Output is correct |
54 |
Correct |
7 ms |
604 KB |
Output is correct |
55 |
Execution timed out |
2079 ms |
10080 KB |
Time limit exceeded |
56 |
Halted |
0 ms |
0 KB |
- |