#include <bits/stdc++.h>
using namespace std;
struct UnionFind {
vector<int> parent_or_neg_size, edge_parity;
UnionFind(int n) : parent_or_neg_size(n, -1), // hver komponent har til å begynne med størrelse 1
edge_parity(n, 0) {}
pair<int, int> find_root_and_parity(int i) {
int parity = 0;
while (parent_or_neg_size[i] >= 0) {
parity ^= edge_parity[i];
i = parent_or_neg_size[i];
}
return {i, parity};
}
enum UniteResult { NO_CYCLE, EVEN_CYCLE, ODD_CYCLE };
UniteResult unite(int i, int j, bool new_edge_parity = true) {
auto [root_i, parity_i] = find_root_and_parity(i);
auto [root_j, parity_j] = find_root_and_parity(j);
if (root_i == root_j) {
if (parity_i ^ parity_j ^ new_edge_parity) {
return ODD_CYCLE;
} else {
return EVEN_CYCLE;
}
}
if (parent_or_neg_size[root_i] > parent_or_neg_size[root_j]) {
swap(root_i, root_j);
swap(parity_i, parity_j);
}
parent_or_neg_size[root_i] += parent_or_neg_size[root_j];
parent_or_neg_size[root_j] = root_i;
edge_parity[root_j] = parity_i ^ parity_j ^ new_edge_parity;
return NO_CYCLE;
}
};
int main() {
int n, m, q;
cin >> n >> m >> q;
vector<array<int, 2>> edges(m);
for (auto &[u, v] : edges) {
cin >> u >> v;
--u;
--v;
}
if ((long long)n * q <= 1e7) {
while (q--) {
int l, r;
cin >> l >> r;
--l;
UnionFind uf(n);
bool odd = false;
for (int j = 0; j < l; ++j) {
auto [u, v] = edges[j];
if (uf.unite(u, v) == UnionFind::ODD_CYCLE) {
odd = true;
break;
}
}
for (int j = r; j < m; ++j) {
auto [u, v] = edges[j];
if (uf.unite(u, v) == UnionFind::ODD_CYCLE) {
odd = true;
break;
}
}
cout << (odd ? "YES" : "NO") << '\n';
}
} else {
int ans = m;
UnionFind uf(n);
while (ans) {
auto [u, v] = edges[ans - 1];
if (uf.unite(u, v) == UnionFind::ODD_CYCLE) {
break;
}
--ans;
}
while (q--) {
int l, r;
cin >> l >> r;
--l;
assert(l == 0);
if (r < ans) {
cout << "YES\n";
} else {
cout << "NO\n";
}
}
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
300 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
304 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
296 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
296 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
300 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
304 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
296 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
296 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
11 ms |
340 KB |
Output is correct |
30 |
Correct |
14 ms |
308 KB |
Output is correct |
31 |
Correct |
13 ms |
340 KB |
Output is correct |
32 |
Correct |
12 ms |
468 KB |
Output is correct |
33 |
Correct |
7 ms |
308 KB |
Output is correct |
34 |
Correct |
12 ms |
312 KB |
Output is correct |
35 |
Correct |
16 ms |
368 KB |
Output is correct |
36 |
Correct |
10 ms |
312 KB |
Output is correct |
37 |
Correct |
15 ms |
340 KB |
Output is correct |
38 |
Correct |
17 ms |
344 KB |
Output is correct |
39 |
Correct |
12 ms |
312 KB |
Output is correct |
40 |
Correct |
10 ms |
368 KB |
Output is correct |
41 |
Correct |
10 ms |
364 KB |
Output is correct |
42 |
Correct |
10 ms |
340 KB |
Output is correct |
43 |
Correct |
14 ms |
356 KB |
Output is correct |
44 |
Correct |
14 ms |
316 KB |
Output is correct |
45 |
Correct |
13 ms |
312 KB |
Output is correct |
46 |
Correct |
13 ms |
340 KB |
Output is correct |
47 |
Correct |
11 ms |
340 KB |
Output is correct |
48 |
Correct |
12 ms |
340 KB |
Output is correct |
49 |
Correct |
13 ms |
340 KB |
Output is correct |
50 |
Correct |
13 ms |
372 KB |
Output is correct |
51 |
Correct |
12 ms |
340 KB |
Output is correct |
52 |
Correct |
12 ms |
308 KB |
Output is correct |
53 |
Correct |
13 ms |
340 KB |
Output is correct |
54 |
Correct |
15 ms |
344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
362 ms |
3216 KB |
Output is correct |
4 |
Correct |
337 ms |
4172 KB |
Output is correct |
5 |
Correct |
345 ms |
4168 KB |
Output is correct |
6 |
Correct |
354 ms |
3536 KB |
Output is correct |
7 |
Correct |
345 ms |
3532 KB |
Output is correct |
8 |
Correct |
340 ms |
3260 KB |
Output is correct |
9 |
Correct |
351 ms |
3660 KB |
Output is correct |
10 |
Correct |
338 ms |
4360 KB |
Output is correct |
11 |
Correct |
342 ms |
3420 KB |
Output is correct |
12 |
Correct |
352 ms |
4144 KB |
Output is correct |
13 |
Correct |
341 ms |
2876 KB |
Output is correct |
14 |
Correct |
350 ms |
3264 KB |
Output is correct |
15 |
Correct |
346 ms |
3772 KB |
Output is correct |
16 |
Correct |
350 ms |
4284 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
300 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
304 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
296 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
296 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
362 ms |
3216 KB |
Output is correct |
30 |
Correct |
337 ms |
4172 KB |
Output is correct |
31 |
Correct |
345 ms |
4168 KB |
Output is correct |
32 |
Correct |
354 ms |
3536 KB |
Output is correct |
33 |
Correct |
345 ms |
3532 KB |
Output is correct |
34 |
Correct |
340 ms |
3260 KB |
Output is correct |
35 |
Correct |
351 ms |
3660 KB |
Output is correct |
36 |
Correct |
338 ms |
4360 KB |
Output is correct |
37 |
Correct |
342 ms |
3420 KB |
Output is correct |
38 |
Correct |
352 ms |
4144 KB |
Output is correct |
39 |
Correct |
341 ms |
2876 KB |
Output is correct |
40 |
Correct |
350 ms |
3264 KB |
Output is correct |
41 |
Correct |
346 ms |
3772 KB |
Output is correct |
42 |
Correct |
350 ms |
4284 KB |
Output is correct |
43 |
Runtime error |
82 ms |
7728 KB |
Execution killed with signal 6 |
44 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
300 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
304 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
296 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
296 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
11 ms |
340 KB |
Output is correct |
30 |
Correct |
14 ms |
308 KB |
Output is correct |
31 |
Correct |
13 ms |
340 KB |
Output is correct |
32 |
Correct |
12 ms |
468 KB |
Output is correct |
33 |
Correct |
7 ms |
308 KB |
Output is correct |
34 |
Correct |
12 ms |
312 KB |
Output is correct |
35 |
Correct |
16 ms |
368 KB |
Output is correct |
36 |
Correct |
10 ms |
312 KB |
Output is correct |
37 |
Correct |
15 ms |
340 KB |
Output is correct |
38 |
Correct |
17 ms |
344 KB |
Output is correct |
39 |
Correct |
12 ms |
312 KB |
Output is correct |
40 |
Correct |
10 ms |
368 KB |
Output is correct |
41 |
Correct |
10 ms |
364 KB |
Output is correct |
42 |
Correct |
10 ms |
340 KB |
Output is correct |
43 |
Correct |
14 ms |
356 KB |
Output is correct |
44 |
Correct |
14 ms |
316 KB |
Output is correct |
45 |
Correct |
13 ms |
312 KB |
Output is correct |
46 |
Correct |
13 ms |
340 KB |
Output is correct |
47 |
Correct |
11 ms |
340 KB |
Output is correct |
48 |
Correct |
12 ms |
340 KB |
Output is correct |
49 |
Correct |
13 ms |
340 KB |
Output is correct |
50 |
Correct |
13 ms |
372 KB |
Output is correct |
51 |
Correct |
12 ms |
340 KB |
Output is correct |
52 |
Correct |
12 ms |
308 KB |
Output is correct |
53 |
Correct |
13 ms |
340 KB |
Output is correct |
54 |
Correct |
15 ms |
344 KB |
Output is correct |
55 |
Runtime error |
85 ms |
5444 KB |
Execution killed with signal 6 |
56 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
300 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
304 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
296 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
296 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
11 ms |
340 KB |
Output is correct |
30 |
Correct |
14 ms |
308 KB |
Output is correct |
31 |
Correct |
13 ms |
340 KB |
Output is correct |
32 |
Correct |
12 ms |
468 KB |
Output is correct |
33 |
Correct |
7 ms |
308 KB |
Output is correct |
34 |
Correct |
12 ms |
312 KB |
Output is correct |
35 |
Correct |
16 ms |
368 KB |
Output is correct |
36 |
Correct |
10 ms |
312 KB |
Output is correct |
37 |
Correct |
15 ms |
340 KB |
Output is correct |
38 |
Correct |
17 ms |
344 KB |
Output is correct |
39 |
Correct |
12 ms |
312 KB |
Output is correct |
40 |
Correct |
10 ms |
368 KB |
Output is correct |
41 |
Correct |
10 ms |
364 KB |
Output is correct |
42 |
Correct |
10 ms |
340 KB |
Output is correct |
43 |
Correct |
14 ms |
356 KB |
Output is correct |
44 |
Correct |
14 ms |
316 KB |
Output is correct |
45 |
Correct |
13 ms |
312 KB |
Output is correct |
46 |
Correct |
13 ms |
340 KB |
Output is correct |
47 |
Correct |
11 ms |
340 KB |
Output is correct |
48 |
Correct |
12 ms |
340 KB |
Output is correct |
49 |
Correct |
13 ms |
340 KB |
Output is correct |
50 |
Correct |
13 ms |
372 KB |
Output is correct |
51 |
Correct |
12 ms |
340 KB |
Output is correct |
52 |
Correct |
12 ms |
308 KB |
Output is correct |
53 |
Correct |
13 ms |
340 KB |
Output is correct |
54 |
Correct |
15 ms |
344 KB |
Output is correct |
55 |
Correct |
362 ms |
3216 KB |
Output is correct |
56 |
Correct |
337 ms |
4172 KB |
Output is correct |
57 |
Correct |
345 ms |
4168 KB |
Output is correct |
58 |
Correct |
354 ms |
3536 KB |
Output is correct |
59 |
Correct |
345 ms |
3532 KB |
Output is correct |
60 |
Correct |
340 ms |
3260 KB |
Output is correct |
61 |
Correct |
351 ms |
3660 KB |
Output is correct |
62 |
Correct |
338 ms |
4360 KB |
Output is correct |
63 |
Correct |
342 ms |
3420 KB |
Output is correct |
64 |
Correct |
352 ms |
4144 KB |
Output is correct |
65 |
Correct |
341 ms |
2876 KB |
Output is correct |
66 |
Correct |
350 ms |
3264 KB |
Output is correct |
67 |
Correct |
346 ms |
3772 KB |
Output is correct |
68 |
Correct |
350 ms |
4284 KB |
Output is correct |
69 |
Runtime error |
82 ms |
7728 KB |
Execution killed with signal 6 |
70 |
Halted |
0 ms |
0 KB |
- |