#include <iostream>
#include <algorithm>
#include <string>
#include <vector>
#include <cmath>
#include <chrono>
#include <ctime>
#include <set>
#include <map>
#include <stack>
#include <queue>
#include <deque>
#include <limits>
#include <iomanip>
#include <unordered_set>
#include <unordered_map>
#include <fstream>
#include <functional>
#include <random>
#include <cassert>
using namespace std;
typedef long long ll;
typedef long double ld;
#define ff first
#define ss second
struct Query {
int l;
int r;
int ind;
ll ans;
Query(int _l, int _r, int _ind) :l(_l), r(_r), ind(_ind), ans(0) {}
};
struct Edge {
int x;
int y;
Edge(int _x, int _y) :x(_x), y(_y) {}
};
ll ttt;
const ll INF = 1e18;
const ll MOD = 1e9 + 7;
const ll N = 200007;
const ll LG = 31;
ll n, m, k;
set<int>g[N];
deque<int>gd[N];
vector<Query>q;
vector<Edge>e;
int used[N];
// functions using set
bool dfs(int v) {
for (int to : g[v]) {
if (used[to] == used[v]) {
return true;
}
else if (!used[to]) {
used[to] = 3 - used[v];
if (dfs(to)) {
return true;
}
}
}
return false;
}
bool is_odd_cycle() {
for (int i = 1; i <= n; i++) {
used[i] = 0;
}
for (int i = 1; i <= n; i++) {
if (!used[i]) {
used[i] = 1;
if (dfs(i)) {
return true;
}
}
}
return false;
}
void remove_edges(const Query& query) {
for (int i = query.l; i <= query.r; i++) {
g[e[i].x].erase(e[i].y);
g[e[i].y].erase(e[i].x);
}
}
void add_edges(const Query& query) {
for (int i = query.l; i <= query.r; i++) {
g[e[i].x].insert(e[i].y);
g[e[i].y].insert(e[i].x);
}
}
bool do_query(const Query& query) {
remove_edges(query);
bool res = is_odd_cycle();
add_edges(query);
return res;
}
// functions using deque
bool dfs_d(int v) {
for (int to : gd[v]) {
if (used[to] == used[v]) {
return true;
}
else if (!used[to]) {
used[to] = 3 - used[v];
if (dfs_d(to)) {
return true;
}
}
}
return false;
}
bool is_odd_cycle_d() {
for (int i = 1; i <= n; i++) {
used[i] = 0;
}
for (int i = 1; i <= n; i++) {
if (!used[i]) {
used[i] = 1;
if (dfs_d(i)) {
return true;
}
}
}
return false;
}
void remove_edges_d(const Query& query) {
for (int i = query.l; i <= query.r; i++) {
gd[e[i].x].pop_front();
gd[e[i].y].pop_front();
}
}
void add_edges_d(const Query& query) {
for (int i = query.r; i >= query.l; i--) {
gd[e[i].x].push_front(e[i].y);
gd[e[i].y].push_front(e[i].x);
}
}
bool do_query_d(const Query& query) {
remove_edges_d(query);
bool res = is_odd_cycle_d();
add_edges_d(query);
return res;
}
void only_l_equals_one() {
// finding the first number i for which do_query(Query(0, i)) == false
int l = 0, r = m + 1;
while (l < r) {
int mid = (l + r) / 2;
if (do_query_d(Query(0, mid, 0))) {
l = mid + 1;
}
else {
r = mid;
}
}
for (int i = 0; i < k; i++) {
if (q[i].r >= l) {
cout << "NO\n";
}
else cout << "YES\n";
}
}
int main() {
//freopen("in.txt", "r", stdin);
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin >> n >> m >> k;
for (int i = 0; i < m; i++) {
int x, y;
cin >> x >> y;
g[x].insert(y);
g[y].insert(x);
gd[x].push_back(y);
gd[y].push_back(x);
e.push_back(Edge(x, y));
}
bool only1 = true;
for (int i = 0; i < k; i++) {
int l, r;
cin >> l >> r;
l--, r--;
if (l != 0)only1 = false;
q.push_back(Query(l, r, i));
}
if (n <= 2000 && m <= 2000 && k <= 2000) {
for (int i = 0; i < k; i++) {
if (do_query(q[i])) {
cout << "YES\n";
}
else {
cout << "NO\n";
}
}
}
else if (only1) {
only_l_equals_one();
}
}
/// ---- - -------- ------ -------- -- - - -
/// Just a reminder. Ubuntu password is I O I
/// ---- - -------- ------ -------- -- - - -
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
84 ms |
144248 KB |
Output is correct |
2 |
Correct |
86 ms |
144344 KB |
Output is correct |
3 |
Correct |
83 ms |
144348 KB |
Output is correct |
4 |
Correct |
93 ms |
144308 KB |
Output is correct |
5 |
Correct |
88 ms |
144264 KB |
Output is correct |
6 |
Correct |
87 ms |
144364 KB |
Output is correct |
7 |
Correct |
88 ms |
144292 KB |
Output is correct |
8 |
Correct |
97 ms |
144264 KB |
Output is correct |
9 |
Correct |
89 ms |
144272 KB |
Output is correct |
10 |
Correct |
88 ms |
144432 KB |
Output is correct |
11 |
Correct |
92 ms |
144388 KB |
Output is correct |
12 |
Correct |
87 ms |
144288 KB |
Output is correct |
13 |
Correct |
89 ms |
144380 KB |
Output is correct |
14 |
Correct |
86 ms |
144364 KB |
Output is correct |
15 |
Correct |
105 ms |
144276 KB |
Output is correct |
16 |
Correct |
105 ms |
144364 KB |
Output is correct |
17 |
Correct |
105 ms |
144276 KB |
Output is correct |
18 |
Correct |
99 ms |
144268 KB |
Output is correct |
19 |
Correct |
101 ms |
144380 KB |
Output is correct |
20 |
Correct |
93 ms |
144372 KB |
Output is correct |
21 |
Correct |
93 ms |
144348 KB |
Output is correct |
22 |
Correct |
86 ms |
144264 KB |
Output is correct |
23 |
Correct |
94 ms |
144308 KB |
Output is correct |
24 |
Correct |
85 ms |
144372 KB |
Output is correct |
25 |
Correct |
99 ms |
144372 KB |
Output is correct |
26 |
Correct |
91 ms |
144492 KB |
Output is correct |
27 |
Correct |
87 ms |
144340 KB |
Output is correct |
28 |
Correct |
92 ms |
144332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
84 ms |
144248 KB |
Output is correct |
2 |
Correct |
86 ms |
144344 KB |
Output is correct |
3 |
Correct |
83 ms |
144348 KB |
Output is correct |
4 |
Correct |
93 ms |
144308 KB |
Output is correct |
5 |
Correct |
88 ms |
144264 KB |
Output is correct |
6 |
Correct |
87 ms |
144364 KB |
Output is correct |
7 |
Correct |
88 ms |
144292 KB |
Output is correct |
8 |
Correct |
97 ms |
144264 KB |
Output is correct |
9 |
Correct |
89 ms |
144272 KB |
Output is correct |
10 |
Correct |
88 ms |
144432 KB |
Output is correct |
11 |
Correct |
92 ms |
144388 KB |
Output is correct |
12 |
Correct |
87 ms |
144288 KB |
Output is correct |
13 |
Correct |
89 ms |
144380 KB |
Output is correct |
14 |
Correct |
86 ms |
144364 KB |
Output is correct |
15 |
Correct |
105 ms |
144276 KB |
Output is correct |
16 |
Correct |
105 ms |
144364 KB |
Output is correct |
17 |
Correct |
105 ms |
144276 KB |
Output is correct |
18 |
Correct |
99 ms |
144268 KB |
Output is correct |
19 |
Correct |
101 ms |
144380 KB |
Output is correct |
20 |
Correct |
93 ms |
144372 KB |
Output is correct |
21 |
Correct |
93 ms |
144348 KB |
Output is correct |
22 |
Correct |
86 ms |
144264 KB |
Output is correct |
23 |
Correct |
94 ms |
144308 KB |
Output is correct |
24 |
Correct |
85 ms |
144372 KB |
Output is correct |
25 |
Correct |
99 ms |
144372 KB |
Output is correct |
26 |
Correct |
91 ms |
144492 KB |
Output is correct |
27 |
Correct |
87 ms |
144340 KB |
Output is correct |
28 |
Correct |
92 ms |
144332 KB |
Output is correct |
29 |
Correct |
179 ms |
144684 KB |
Output is correct |
30 |
Correct |
378 ms |
144756 KB |
Output is correct |
31 |
Correct |
468 ms |
144784 KB |
Output is correct |
32 |
Correct |
503 ms |
144784 KB |
Output is correct |
33 |
Correct |
561 ms |
144652 KB |
Output is correct |
34 |
Correct |
445 ms |
144664 KB |
Output is correct |
35 |
Correct |
450 ms |
144660 KB |
Output is correct |
36 |
Correct |
431 ms |
144696 KB |
Output is correct |
37 |
Correct |
304 ms |
144684 KB |
Output is correct |
38 |
Correct |
250 ms |
144668 KB |
Output is correct |
39 |
Correct |
437 ms |
144656 KB |
Output is correct |
40 |
Correct |
475 ms |
144776 KB |
Output is correct |
41 |
Correct |
461 ms |
144672 KB |
Output is correct |
42 |
Correct |
508 ms |
144712 KB |
Output is correct |
43 |
Correct |
204 ms |
144716 KB |
Output is correct |
44 |
Correct |
176 ms |
144612 KB |
Output is correct |
45 |
Correct |
169 ms |
144668 KB |
Output is correct |
46 |
Correct |
152 ms |
144768 KB |
Output is correct |
47 |
Correct |
516 ms |
144712 KB |
Output is correct |
48 |
Correct |
477 ms |
144780 KB |
Output is correct |
49 |
Correct |
479 ms |
144588 KB |
Output is correct |
50 |
Correct |
449 ms |
144684 KB |
Output is correct |
51 |
Correct |
543 ms |
144788 KB |
Output is correct |
52 |
Correct |
496 ms |
144664 KB |
Output is correct |
53 |
Correct |
480 ms |
144576 KB |
Output is correct |
54 |
Correct |
398 ms |
144664 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
84 ms |
144248 KB |
Output is correct |
2 |
Correct |
86 ms |
144344 KB |
Output is correct |
3 |
Correct |
805 ms |
176132 KB |
Output is correct |
4 |
Correct |
976 ms |
174328 KB |
Output is correct |
5 |
Correct |
712 ms |
172536 KB |
Output is correct |
6 |
Correct |
691 ms |
172892 KB |
Output is correct |
7 |
Correct |
619 ms |
172308 KB |
Output is correct |
8 |
Correct |
594 ms |
173980 KB |
Output is correct |
9 |
Correct |
683 ms |
177096 KB |
Output is correct |
10 |
Correct |
918 ms |
176040 KB |
Output is correct |
11 |
Correct |
571 ms |
176208 KB |
Output is correct |
12 |
Correct |
720 ms |
176428 KB |
Output is correct |
13 |
Correct |
502 ms |
176588 KB |
Output is correct |
14 |
Correct |
579 ms |
177676 KB |
Output is correct |
15 |
Correct |
773 ms |
176912 KB |
Output is correct |
16 |
Correct |
905 ms |
176424 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
84 ms |
144248 KB |
Output is correct |
2 |
Correct |
86 ms |
144344 KB |
Output is correct |
3 |
Correct |
83 ms |
144348 KB |
Output is correct |
4 |
Correct |
93 ms |
144308 KB |
Output is correct |
5 |
Correct |
88 ms |
144264 KB |
Output is correct |
6 |
Correct |
87 ms |
144364 KB |
Output is correct |
7 |
Correct |
88 ms |
144292 KB |
Output is correct |
8 |
Correct |
97 ms |
144264 KB |
Output is correct |
9 |
Correct |
89 ms |
144272 KB |
Output is correct |
10 |
Correct |
88 ms |
144432 KB |
Output is correct |
11 |
Correct |
92 ms |
144388 KB |
Output is correct |
12 |
Correct |
87 ms |
144288 KB |
Output is correct |
13 |
Correct |
89 ms |
144380 KB |
Output is correct |
14 |
Correct |
86 ms |
144364 KB |
Output is correct |
15 |
Correct |
105 ms |
144276 KB |
Output is correct |
16 |
Correct |
105 ms |
144364 KB |
Output is correct |
17 |
Correct |
105 ms |
144276 KB |
Output is correct |
18 |
Correct |
99 ms |
144268 KB |
Output is correct |
19 |
Correct |
101 ms |
144380 KB |
Output is correct |
20 |
Correct |
93 ms |
144372 KB |
Output is correct |
21 |
Correct |
93 ms |
144348 KB |
Output is correct |
22 |
Correct |
86 ms |
144264 KB |
Output is correct |
23 |
Correct |
94 ms |
144308 KB |
Output is correct |
24 |
Correct |
85 ms |
144372 KB |
Output is correct |
25 |
Correct |
99 ms |
144372 KB |
Output is correct |
26 |
Correct |
91 ms |
144492 KB |
Output is correct |
27 |
Correct |
87 ms |
144340 KB |
Output is correct |
28 |
Correct |
92 ms |
144332 KB |
Output is correct |
29 |
Correct |
805 ms |
176132 KB |
Output is correct |
30 |
Correct |
976 ms |
174328 KB |
Output is correct |
31 |
Correct |
712 ms |
172536 KB |
Output is correct |
32 |
Correct |
691 ms |
172892 KB |
Output is correct |
33 |
Correct |
619 ms |
172308 KB |
Output is correct |
34 |
Correct |
594 ms |
173980 KB |
Output is correct |
35 |
Correct |
683 ms |
177096 KB |
Output is correct |
36 |
Correct |
918 ms |
176040 KB |
Output is correct |
37 |
Correct |
571 ms |
176208 KB |
Output is correct |
38 |
Correct |
720 ms |
176428 KB |
Output is correct |
39 |
Correct |
502 ms |
176588 KB |
Output is correct |
40 |
Correct |
579 ms |
177676 KB |
Output is correct |
41 |
Correct |
773 ms |
176912 KB |
Output is correct |
42 |
Correct |
905 ms |
176424 KB |
Output is correct |
43 |
Incorrect |
279 ms |
176196 KB |
Output isn't correct |
44 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
84 ms |
144248 KB |
Output is correct |
2 |
Correct |
86 ms |
144344 KB |
Output is correct |
3 |
Correct |
83 ms |
144348 KB |
Output is correct |
4 |
Correct |
93 ms |
144308 KB |
Output is correct |
5 |
Correct |
88 ms |
144264 KB |
Output is correct |
6 |
Correct |
87 ms |
144364 KB |
Output is correct |
7 |
Correct |
88 ms |
144292 KB |
Output is correct |
8 |
Correct |
97 ms |
144264 KB |
Output is correct |
9 |
Correct |
89 ms |
144272 KB |
Output is correct |
10 |
Correct |
88 ms |
144432 KB |
Output is correct |
11 |
Correct |
92 ms |
144388 KB |
Output is correct |
12 |
Correct |
87 ms |
144288 KB |
Output is correct |
13 |
Correct |
89 ms |
144380 KB |
Output is correct |
14 |
Correct |
86 ms |
144364 KB |
Output is correct |
15 |
Correct |
105 ms |
144276 KB |
Output is correct |
16 |
Correct |
105 ms |
144364 KB |
Output is correct |
17 |
Correct |
105 ms |
144276 KB |
Output is correct |
18 |
Correct |
99 ms |
144268 KB |
Output is correct |
19 |
Correct |
101 ms |
144380 KB |
Output is correct |
20 |
Correct |
93 ms |
144372 KB |
Output is correct |
21 |
Correct |
93 ms |
144348 KB |
Output is correct |
22 |
Correct |
86 ms |
144264 KB |
Output is correct |
23 |
Correct |
94 ms |
144308 KB |
Output is correct |
24 |
Correct |
85 ms |
144372 KB |
Output is correct |
25 |
Correct |
99 ms |
144372 KB |
Output is correct |
26 |
Correct |
91 ms |
144492 KB |
Output is correct |
27 |
Correct |
87 ms |
144340 KB |
Output is correct |
28 |
Correct |
92 ms |
144332 KB |
Output is correct |
29 |
Correct |
179 ms |
144684 KB |
Output is correct |
30 |
Correct |
378 ms |
144756 KB |
Output is correct |
31 |
Correct |
468 ms |
144784 KB |
Output is correct |
32 |
Correct |
503 ms |
144784 KB |
Output is correct |
33 |
Correct |
561 ms |
144652 KB |
Output is correct |
34 |
Correct |
445 ms |
144664 KB |
Output is correct |
35 |
Correct |
450 ms |
144660 KB |
Output is correct |
36 |
Correct |
431 ms |
144696 KB |
Output is correct |
37 |
Correct |
304 ms |
144684 KB |
Output is correct |
38 |
Correct |
250 ms |
144668 KB |
Output is correct |
39 |
Correct |
437 ms |
144656 KB |
Output is correct |
40 |
Correct |
475 ms |
144776 KB |
Output is correct |
41 |
Correct |
461 ms |
144672 KB |
Output is correct |
42 |
Correct |
508 ms |
144712 KB |
Output is correct |
43 |
Correct |
204 ms |
144716 KB |
Output is correct |
44 |
Correct |
176 ms |
144612 KB |
Output is correct |
45 |
Correct |
169 ms |
144668 KB |
Output is correct |
46 |
Correct |
152 ms |
144768 KB |
Output is correct |
47 |
Correct |
516 ms |
144712 KB |
Output is correct |
48 |
Correct |
477 ms |
144780 KB |
Output is correct |
49 |
Correct |
479 ms |
144588 KB |
Output is correct |
50 |
Correct |
449 ms |
144684 KB |
Output is correct |
51 |
Correct |
543 ms |
144788 KB |
Output is correct |
52 |
Correct |
496 ms |
144664 KB |
Output is correct |
53 |
Correct |
480 ms |
144576 KB |
Output is correct |
54 |
Correct |
398 ms |
144664 KB |
Output is correct |
55 |
Incorrect |
247 ms |
164692 KB |
Output isn't correct |
56 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
84 ms |
144248 KB |
Output is correct |
2 |
Correct |
86 ms |
144344 KB |
Output is correct |
3 |
Correct |
83 ms |
144348 KB |
Output is correct |
4 |
Correct |
93 ms |
144308 KB |
Output is correct |
5 |
Correct |
88 ms |
144264 KB |
Output is correct |
6 |
Correct |
87 ms |
144364 KB |
Output is correct |
7 |
Correct |
88 ms |
144292 KB |
Output is correct |
8 |
Correct |
97 ms |
144264 KB |
Output is correct |
9 |
Correct |
89 ms |
144272 KB |
Output is correct |
10 |
Correct |
88 ms |
144432 KB |
Output is correct |
11 |
Correct |
92 ms |
144388 KB |
Output is correct |
12 |
Correct |
87 ms |
144288 KB |
Output is correct |
13 |
Correct |
89 ms |
144380 KB |
Output is correct |
14 |
Correct |
86 ms |
144364 KB |
Output is correct |
15 |
Correct |
105 ms |
144276 KB |
Output is correct |
16 |
Correct |
105 ms |
144364 KB |
Output is correct |
17 |
Correct |
105 ms |
144276 KB |
Output is correct |
18 |
Correct |
99 ms |
144268 KB |
Output is correct |
19 |
Correct |
101 ms |
144380 KB |
Output is correct |
20 |
Correct |
93 ms |
144372 KB |
Output is correct |
21 |
Correct |
93 ms |
144348 KB |
Output is correct |
22 |
Correct |
86 ms |
144264 KB |
Output is correct |
23 |
Correct |
94 ms |
144308 KB |
Output is correct |
24 |
Correct |
85 ms |
144372 KB |
Output is correct |
25 |
Correct |
99 ms |
144372 KB |
Output is correct |
26 |
Correct |
91 ms |
144492 KB |
Output is correct |
27 |
Correct |
87 ms |
144340 KB |
Output is correct |
28 |
Correct |
92 ms |
144332 KB |
Output is correct |
29 |
Correct |
179 ms |
144684 KB |
Output is correct |
30 |
Correct |
378 ms |
144756 KB |
Output is correct |
31 |
Correct |
468 ms |
144784 KB |
Output is correct |
32 |
Correct |
503 ms |
144784 KB |
Output is correct |
33 |
Correct |
561 ms |
144652 KB |
Output is correct |
34 |
Correct |
445 ms |
144664 KB |
Output is correct |
35 |
Correct |
450 ms |
144660 KB |
Output is correct |
36 |
Correct |
431 ms |
144696 KB |
Output is correct |
37 |
Correct |
304 ms |
144684 KB |
Output is correct |
38 |
Correct |
250 ms |
144668 KB |
Output is correct |
39 |
Correct |
437 ms |
144656 KB |
Output is correct |
40 |
Correct |
475 ms |
144776 KB |
Output is correct |
41 |
Correct |
461 ms |
144672 KB |
Output is correct |
42 |
Correct |
508 ms |
144712 KB |
Output is correct |
43 |
Correct |
204 ms |
144716 KB |
Output is correct |
44 |
Correct |
176 ms |
144612 KB |
Output is correct |
45 |
Correct |
169 ms |
144668 KB |
Output is correct |
46 |
Correct |
152 ms |
144768 KB |
Output is correct |
47 |
Correct |
516 ms |
144712 KB |
Output is correct |
48 |
Correct |
477 ms |
144780 KB |
Output is correct |
49 |
Correct |
479 ms |
144588 KB |
Output is correct |
50 |
Correct |
449 ms |
144684 KB |
Output is correct |
51 |
Correct |
543 ms |
144788 KB |
Output is correct |
52 |
Correct |
496 ms |
144664 KB |
Output is correct |
53 |
Correct |
480 ms |
144576 KB |
Output is correct |
54 |
Correct |
398 ms |
144664 KB |
Output is correct |
55 |
Correct |
805 ms |
176132 KB |
Output is correct |
56 |
Correct |
976 ms |
174328 KB |
Output is correct |
57 |
Correct |
712 ms |
172536 KB |
Output is correct |
58 |
Correct |
691 ms |
172892 KB |
Output is correct |
59 |
Correct |
619 ms |
172308 KB |
Output is correct |
60 |
Correct |
594 ms |
173980 KB |
Output is correct |
61 |
Correct |
683 ms |
177096 KB |
Output is correct |
62 |
Correct |
918 ms |
176040 KB |
Output is correct |
63 |
Correct |
571 ms |
176208 KB |
Output is correct |
64 |
Correct |
720 ms |
176428 KB |
Output is correct |
65 |
Correct |
502 ms |
176588 KB |
Output is correct |
66 |
Correct |
579 ms |
177676 KB |
Output is correct |
67 |
Correct |
773 ms |
176912 KB |
Output is correct |
68 |
Correct |
905 ms |
176424 KB |
Output is correct |
69 |
Incorrect |
279 ms |
176196 KB |
Output isn't correct |
70 |
Halted |
0 ms |
0 KB |
- |