#include <bits/stdc++.h>
#define rep(i, n) for (int i = 0; i < (int)(n); ++i)
#define rep2(i, a, b) for (int i = (int)(a); i < (int)(b); ++i)
#define rrep(i, n) for (int i = (int)(n) - 1; i >= 0; --i)
#define rrep2(i, a, b) for (int i = (int)(b) - 1; i >= (int)(a); --i)
#define all(v) begin(v), end(v)
#define rall(v) rbegin(v), rend(v)
using namespace std;
using ll = long long;
template<class T, class U> bool chmin(T& a, const U& b) { return a > b ? a = b, true : false; }
template<class T, class U> bool chmax(T& a, const U& b) { return a < b ? a = b, true : false; }
class UndoableUF {
int n;
bool flag = true;
vector<int> par;
vector<tuple<int, int, bool>> history;
public:
UndoableUF(int n_) : n(n_ / 2), par(n_, -1) {}
int find(int x) { return par[x] < 0 ? x : find(par[x]); }
bool merge(int x, int y) {
x = find(x), y = find(y);
history.emplace_back(x, par[x], flag);
history.emplace_back(y, par[y], flag);
if (x == y) return false;
if (par[x] > par[y]) swap(x, y);
par[x] += par[y];
par[y] = x;
if (same(x, (x + n) % (2 * n))) flag = false;
return true;
}
bool same(int x, int y) { return find(x) == find(y); }
void undo() {
auto [x, px, _] = history.back(); history.pop_back();
auto [y, py, f] = history.back(); history.pop_back();
par[x] = px;
par[y] = py;
flag = f;
}
void snapshot() { history.clear(); }
void rollback() {
while (!history.empty()) undo();
}
bool is_bip() { return flag; }
};
int main() {
int N, M, Q; cin >> N >> M >> Q;
vector<pair<int, int>> A(M);
rep (i, M) {
cin >> A[i].first >> A[i].second;
--A[i].first, --A[i].second;
}
vector<array<int, 3>> B(Q);
rep (i, Q) {
cin >> B[i][0] >> B[i][1];
--B[i][0];
B[i][2] = i;
}
int block = 1;
sort(all(B), [&](auto a, auto b) {
if (a[0] / block != b[0] / block) return a[0] < b[0];
return a[1] > b[1];
});
vector<bool> ans(Q);
int curl = block, curr = M;
UndoableUF uf(2 * N);
for (auto [l, r, k] : B) {
while (curl <= l) {
uf.rollback();
rep2 (i, curl - block, curl) {
if (i >= M) break;
uf.merge(A[i].first, A[i].second + N);
uf.merge(A[i].first + N, A[i].second);
}
uf.snapshot();
curl += block;
curr = M;
}
assert(curr >= r);
rrep2 (i, r, curr) {
uf.merge(A[i].first, A[i].second + N);
uf.merge(A[i].first + N, A[i].second);
}
curr = r;
rep2 (i, curl - block, l) {
uf.merge(A[i].first, A[i].second + N);
uf.merge(A[i].first + N, A[i].second);
}
ans[k] = uf.is_bip();
rep2 (i, curl - block, l) uf.undo(), uf.undo();
}
rep (i, Q) puts(ans[i] ? "NO" : "YES");
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 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 |
344 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 |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
388 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 |
344 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
344 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 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 |
344 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 |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
388 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 |
344 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
344 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
8 ms |
344 KB |
Output is correct |
30 |
Correct |
9 ms |
604 KB |
Output is correct |
31 |
Correct |
9 ms |
604 KB |
Output is correct |
32 |
Correct |
8 ms |
600 KB |
Output is correct |
33 |
Correct |
6 ms |
664 KB |
Output is correct |
34 |
Correct |
9 ms |
676 KB |
Output is correct |
35 |
Correct |
11 ms |
604 KB |
Output is correct |
36 |
Correct |
6 ms |
604 KB |
Output is correct |
37 |
Correct |
17 ms |
680 KB |
Output is correct |
38 |
Correct |
23 ms |
604 KB |
Output is correct |
39 |
Correct |
7 ms |
604 KB |
Output is correct |
40 |
Correct |
6 ms |
604 KB |
Output is correct |
41 |
Correct |
6 ms |
604 KB |
Output is correct |
42 |
Correct |
6 ms |
668 KB |
Output is correct |
43 |
Correct |
23 ms |
604 KB |
Output is correct |
44 |
Correct |
23 ms |
604 KB |
Output is correct |
45 |
Correct |
21 ms |
672 KB |
Output is correct |
46 |
Correct |
21 ms |
680 KB |
Output is correct |
47 |
Correct |
7 ms |
604 KB |
Output is correct |
48 |
Correct |
8 ms |
668 KB |
Output is correct |
49 |
Correct |
11 ms |
604 KB |
Output is correct |
50 |
Correct |
9 ms |
680 KB |
Output is correct |
51 |
Correct |
11 ms |
604 KB |
Output is correct |
52 |
Correct |
9 ms |
664 KB |
Output is correct |
53 |
Correct |
9 ms |
672 KB |
Output is correct |
54 |
Correct |
14 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
122 ms |
19008 KB |
Output is correct |
4 |
Correct |
120 ms |
20016 KB |
Output is correct |
5 |
Correct |
125 ms |
19140 KB |
Output is correct |
6 |
Correct |
129 ms |
19388 KB |
Output is correct |
7 |
Correct |
123 ms |
18368 KB |
Output is correct |
8 |
Correct |
112 ms |
18876 KB |
Output is correct |
9 |
Correct |
112 ms |
18472 KB |
Output is correct |
10 |
Correct |
122 ms |
18620 KB |
Output is correct |
11 |
Correct |
119 ms |
19392 KB |
Output is correct |
12 |
Correct |
124 ms |
19776 KB |
Output is correct |
13 |
Correct |
123 ms |
18496 KB |
Output is correct |
14 |
Correct |
128 ms |
17852 KB |
Output is correct |
15 |
Correct |
130 ms |
18624 KB |
Output is correct |
16 |
Correct |
126 ms |
19132 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 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 |
344 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 |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
388 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 |
344 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
344 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
122 ms |
19008 KB |
Output is correct |
30 |
Correct |
120 ms |
20016 KB |
Output is correct |
31 |
Correct |
125 ms |
19140 KB |
Output is correct |
32 |
Correct |
129 ms |
19388 KB |
Output is correct |
33 |
Correct |
123 ms |
18368 KB |
Output is correct |
34 |
Correct |
112 ms |
18876 KB |
Output is correct |
35 |
Correct |
112 ms |
18472 KB |
Output is correct |
36 |
Correct |
122 ms |
18620 KB |
Output is correct |
37 |
Correct |
119 ms |
19392 KB |
Output is correct |
38 |
Correct |
124 ms |
19776 KB |
Output is correct |
39 |
Correct |
123 ms |
18496 KB |
Output is correct |
40 |
Correct |
128 ms |
17852 KB |
Output is correct |
41 |
Correct |
130 ms |
18624 KB |
Output is correct |
42 |
Correct |
126 ms |
19132 KB |
Output is correct |
43 |
Correct |
1067 ms |
23728 KB |
Output is correct |
44 |
Correct |
1331 ms |
22828 KB |
Output is correct |
45 |
Correct |
1346 ms |
23740 KB |
Output is correct |
46 |
Correct |
1447 ms |
23624 KB |
Output is correct |
47 |
Correct |
1679 ms |
22428 KB |
Output is correct |
48 |
Correct |
1997 ms |
22436 KB |
Output is correct |
49 |
Correct |
1935 ms |
24256 KB |
Output is correct |
50 |
Correct |
1598 ms |
23228 KB |
Output is correct |
51 |
Correct |
1499 ms |
22176 KB |
Output is correct |
52 |
Correct |
1605 ms |
23492 KB |
Output is correct |
53 |
Correct |
1559 ms |
22460 KB |
Output is correct |
54 |
Execution timed out |
2021 ms |
22700 KB |
Time limit exceeded |
55 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 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 |
344 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 |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
388 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 |
344 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
344 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
8 ms |
344 KB |
Output is correct |
30 |
Correct |
9 ms |
604 KB |
Output is correct |
31 |
Correct |
9 ms |
604 KB |
Output is correct |
32 |
Correct |
8 ms |
600 KB |
Output is correct |
33 |
Correct |
6 ms |
664 KB |
Output is correct |
34 |
Correct |
9 ms |
676 KB |
Output is correct |
35 |
Correct |
11 ms |
604 KB |
Output is correct |
36 |
Correct |
6 ms |
604 KB |
Output is correct |
37 |
Correct |
17 ms |
680 KB |
Output is correct |
38 |
Correct |
23 ms |
604 KB |
Output is correct |
39 |
Correct |
7 ms |
604 KB |
Output is correct |
40 |
Correct |
6 ms |
604 KB |
Output is correct |
41 |
Correct |
6 ms |
604 KB |
Output is correct |
42 |
Correct |
6 ms |
668 KB |
Output is correct |
43 |
Correct |
23 ms |
604 KB |
Output is correct |
44 |
Correct |
23 ms |
604 KB |
Output is correct |
45 |
Correct |
21 ms |
672 KB |
Output is correct |
46 |
Correct |
21 ms |
680 KB |
Output is correct |
47 |
Correct |
7 ms |
604 KB |
Output is correct |
48 |
Correct |
8 ms |
668 KB |
Output is correct |
49 |
Correct |
11 ms |
604 KB |
Output is correct |
50 |
Correct |
9 ms |
680 KB |
Output is correct |
51 |
Correct |
11 ms |
604 KB |
Output is correct |
52 |
Correct |
9 ms |
664 KB |
Output is correct |
53 |
Correct |
9 ms |
672 KB |
Output is correct |
54 |
Correct |
14 ms |
604 KB |
Output is correct |
55 |
Correct |
1549 ms |
16060 KB |
Output is correct |
56 |
Execution timed out |
2070 ms |
20416 KB |
Time limit exceeded |
57 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 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 |
344 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 |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
388 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 |
344 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
344 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
8 ms |
344 KB |
Output is correct |
30 |
Correct |
9 ms |
604 KB |
Output is correct |
31 |
Correct |
9 ms |
604 KB |
Output is correct |
32 |
Correct |
8 ms |
600 KB |
Output is correct |
33 |
Correct |
6 ms |
664 KB |
Output is correct |
34 |
Correct |
9 ms |
676 KB |
Output is correct |
35 |
Correct |
11 ms |
604 KB |
Output is correct |
36 |
Correct |
6 ms |
604 KB |
Output is correct |
37 |
Correct |
17 ms |
680 KB |
Output is correct |
38 |
Correct |
23 ms |
604 KB |
Output is correct |
39 |
Correct |
7 ms |
604 KB |
Output is correct |
40 |
Correct |
6 ms |
604 KB |
Output is correct |
41 |
Correct |
6 ms |
604 KB |
Output is correct |
42 |
Correct |
6 ms |
668 KB |
Output is correct |
43 |
Correct |
23 ms |
604 KB |
Output is correct |
44 |
Correct |
23 ms |
604 KB |
Output is correct |
45 |
Correct |
21 ms |
672 KB |
Output is correct |
46 |
Correct |
21 ms |
680 KB |
Output is correct |
47 |
Correct |
7 ms |
604 KB |
Output is correct |
48 |
Correct |
8 ms |
668 KB |
Output is correct |
49 |
Correct |
11 ms |
604 KB |
Output is correct |
50 |
Correct |
9 ms |
680 KB |
Output is correct |
51 |
Correct |
11 ms |
604 KB |
Output is correct |
52 |
Correct |
9 ms |
664 KB |
Output is correct |
53 |
Correct |
9 ms |
672 KB |
Output is correct |
54 |
Correct |
14 ms |
604 KB |
Output is correct |
55 |
Correct |
122 ms |
19008 KB |
Output is correct |
56 |
Correct |
120 ms |
20016 KB |
Output is correct |
57 |
Correct |
125 ms |
19140 KB |
Output is correct |
58 |
Correct |
129 ms |
19388 KB |
Output is correct |
59 |
Correct |
123 ms |
18368 KB |
Output is correct |
60 |
Correct |
112 ms |
18876 KB |
Output is correct |
61 |
Correct |
112 ms |
18472 KB |
Output is correct |
62 |
Correct |
122 ms |
18620 KB |
Output is correct |
63 |
Correct |
119 ms |
19392 KB |
Output is correct |
64 |
Correct |
124 ms |
19776 KB |
Output is correct |
65 |
Correct |
123 ms |
18496 KB |
Output is correct |
66 |
Correct |
128 ms |
17852 KB |
Output is correct |
67 |
Correct |
130 ms |
18624 KB |
Output is correct |
68 |
Correct |
126 ms |
19132 KB |
Output is correct |
69 |
Correct |
1067 ms |
23728 KB |
Output is correct |
70 |
Correct |
1331 ms |
22828 KB |
Output is correct |
71 |
Correct |
1346 ms |
23740 KB |
Output is correct |
72 |
Correct |
1447 ms |
23624 KB |
Output is correct |
73 |
Correct |
1679 ms |
22428 KB |
Output is correct |
74 |
Correct |
1997 ms |
22436 KB |
Output is correct |
75 |
Correct |
1935 ms |
24256 KB |
Output is correct |
76 |
Correct |
1598 ms |
23228 KB |
Output is correct |
77 |
Correct |
1499 ms |
22176 KB |
Output is correct |
78 |
Correct |
1605 ms |
23492 KB |
Output is correct |
79 |
Correct |
1559 ms |
22460 KB |
Output is correct |
80 |
Execution timed out |
2021 ms |
22700 KB |
Time limit exceeded |
81 |
Halted |
0 ms |
0 KB |
- |