Submission #877277

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
877277	2023-11-23T05:21:15 Z	TranGiaHuy1508	Joker (BOI20_joker)	C++17	100 / 100	343 ms	45036 KB

Joker

#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<Changes> changes;
	vector<ii> parent;
	vector<int> size;
	int is_bipartite;

	DSU_Rollback_Bipartite() {}
	DSU_Rollback_Bipartite(int N): parent(N), size(N, 1), is_bipartite(1) {
		for (int i = 0; i < N; i++){
			parent[i] = {i, 0};
		}
	}

	ii get(int x){
		if (x == parent[x].first) return {x, 0};
		auto [p, d] = get(parent[x].first);
		return {p, d ^ parent[x].second};
	}

	void merge(int _a, int _b){
		changes.emplace_back();

		auto [a, da] = get(_a);
		auto [b, db] = get(_b);

		if (a == b){
			if (da == db){
				changes.back().emplace_back(&is_bipartite, is_bipartite);
				is_bipartite = 0;
			}
			return;
		}

		if (size[a] < size[b]) swap(a, b);

		changes.back().emplace_back(&parent[b].first, parent[b].first);
		changes.back().emplace_back(&parent[b].second, parent[b].second);
		changes.back().emplace_back(&size[a], size[a]);

		parent[b] = {a, da ^ db ^ 1};
		size[a] += size[b];
	}

	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.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.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.merge(query.first.first, query.first.second);
			st.push_back(query);
		}
		for (auto query: qA){
			ds.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;
	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";
	}
}

Subtask #1
6.0 / 6.0

#	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	344 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	344 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	404 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	348 KB	Output is correct
15	Correct	1 ms	348 KB	Output is correct
16	Correct	0 ms	344 KB	Output is correct
17	Correct	1 ms	348 KB	Output is correct
18	Correct	0 ms	348 KB	Output is correct
19	Correct	1 ms	348 KB	Output is correct
20	Correct	0 ms	344 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	0 ms	344 KB	Output is correct
26	Correct	0 ms	600 KB	Output is correct
27	Correct	0 ms	344 KB	Output is correct
28	Correct	0 ms	348 KB	Output is correct

Subtask #2
8.0 / 8.0

#	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	344 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	344 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	404 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	348 KB	Output is correct
15	Correct	1 ms	348 KB	Output is correct
16	Correct	0 ms	344 KB	Output is correct
17	Correct	1 ms	348 KB	Output is correct
18	Correct	0 ms	348 KB	Output is correct
19	Correct	1 ms	348 KB	Output is correct
20	Correct	0 ms	344 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	0 ms	344 KB	Output is correct
26	Correct	0 ms	600 KB	Output is correct
27	Correct	0 ms	344 KB	Output is correct
28	Correct	0 ms	348 KB	Output is correct
29	Correct	1 ms	604 KB	Output is correct
30	Correct	2 ms	604 KB	Output is correct
31	Correct	2 ms	604 KB	Output is correct
32	Correct	2 ms	604 KB	Output is correct
33	Correct	1 ms	600 KB	Output is correct
34	Correct	2 ms	604 KB	Output is correct
35	Correct	2 ms	604 KB	Output is correct
36	Correct	2 ms	604 KB	Output is correct
37	Correct	3 ms	604 KB	Output is correct
38	Correct	1 ms	760 KB	Output is correct
39	Correct	2 ms	604 KB	Output is correct
40	Correct	2 ms	604 KB	Output is correct
41	Correct	2 ms	604 KB	Output is correct
42	Correct	2 ms	604 KB	Output is correct
43	Correct	2 ms	604 KB	Output is correct
44	Correct	2 ms	604 KB	Output is correct
45	Correct	2 ms	604 KB	Output is correct
46	Correct	2 ms	604 KB	Output is correct
47	Correct	2 ms	604 KB	Output is correct
48	Correct	2 ms	684 KB	Output is correct
49	Correct	2 ms	700 KB	Output is correct
50	Correct	2 ms	604 KB	Output is correct
51	Correct	2 ms	604 KB	Output is correct
52	Correct	2 ms	604 KB	Output is correct
53	Correct	2 ms	604 KB	Output is correct
54	Correct	2 ms	604 KB	Output is correct

Subtask #3
25.0 / 25.0

#	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	269 ms	25220 KB	Output is correct
4	Correct	94 ms	44576 KB	Output is correct
5	Correct	176 ms	33348 KB	Output is correct
6	Correct	150 ms	26868 KB	Output is correct
7	Correct	152 ms	27132 KB	Output is correct
8	Correct	151 ms	22168 KB	Output is correct
9	Correct	175 ms	26364 KB	Output is correct
10	Correct	223 ms	33528 KB	Output is correct
11	Correct	190 ms	26192 KB	Output is correct
12	Correct	199 ms	31992 KB	Output is correct
13	Correct	110 ms	18936 KB	Output is correct
14	Correct	150 ms	23940 KB	Output is correct
15	Correct	209 ms	29460 KB	Output is correct
16	Correct	224 ms	34496 KB	Output is correct

Subtask #4
10.0 / 10.0

#	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	344 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	344 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	404 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	348 KB	Output is correct
15	Correct	1 ms	348 KB	Output is correct
16	Correct	0 ms	344 KB	Output is correct
17	Correct	1 ms	348 KB	Output is correct
18	Correct	0 ms	348 KB	Output is correct
19	Correct	1 ms	348 KB	Output is correct
20	Correct	0 ms	344 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	0 ms	344 KB	Output is correct
26	Correct	0 ms	600 KB	Output is correct
27	Correct	0 ms	344 KB	Output is correct
28	Correct	0 ms	348 KB	Output is correct
29	Correct	269 ms	25220 KB	Output is correct
30	Correct	94 ms	44576 KB	Output is correct
31	Correct	176 ms	33348 KB	Output is correct
32	Correct	150 ms	26868 KB	Output is correct
33	Correct	152 ms	27132 KB	Output is correct
34	Correct	151 ms	22168 KB	Output is correct
35	Correct	175 ms	26364 KB	Output is correct
36	Correct	223 ms	33528 KB	Output is correct
37	Correct	190 ms	26192 KB	Output is correct
38	Correct	199 ms	31992 KB	Output is correct
39	Correct	110 ms	18936 KB	Output is correct
40	Correct	150 ms	23940 KB	Output is correct
41	Correct	209 ms	29460 KB	Output is correct
42	Correct	224 ms	34496 KB	Output is correct
43	Correct	277 ms	29948 KB	Output is correct
44	Correct	94 ms	45036 KB	Output is correct
45	Correct	239 ms	40696 KB	Output is correct
46	Correct	157 ms	28504 KB	Output is correct
47	Correct	157 ms	27132 KB	Output is correct
48	Correct	181 ms	25892 KB	Output is correct
49	Correct	243 ms	33500 KB	Output is correct
50	Correct	168 ms	25976 KB	Output is correct
51	Correct	201 ms	29280 KB	Output is correct
52	Correct	215 ms	33204 KB	Output is correct
53	Correct	112 ms	19532 KB	Output is correct
54	Correct	168 ms	26104 KB	Output is correct
55	Correct	209 ms	29448 KB	Output is correct
56	Correct	224 ms	34816 KB	Output is correct

Subtask #5
22.0 / 22.0

#	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	344 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	344 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	404 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	348 KB	Output is correct
15	Correct	1 ms	348 KB	Output is correct
16	Correct	0 ms	344 KB	Output is correct
17	Correct	1 ms	348 KB	Output is correct
18	Correct	0 ms	348 KB	Output is correct
19	Correct	1 ms	348 KB	Output is correct
20	Correct	0 ms	344 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	0 ms	344 KB	Output is correct
26	Correct	0 ms	600 KB	Output is correct
27	Correct	0 ms	344 KB	Output is correct
28	Correct	0 ms	348 KB	Output is correct
29	Correct	1 ms	604 KB	Output is correct
30	Correct	2 ms	604 KB	Output is correct
31	Correct	2 ms	604 KB	Output is correct
32	Correct	2 ms	604 KB	Output is correct
33	Correct	1 ms	600 KB	Output is correct
34	Correct	2 ms	604 KB	Output is correct
35	Correct	2 ms	604 KB	Output is correct
36	Correct	2 ms	604 KB	Output is correct
37	Correct	3 ms	604 KB	Output is correct
38	Correct	1 ms	760 KB	Output is correct
39	Correct	2 ms	604 KB	Output is correct
40	Correct	2 ms	604 KB	Output is correct
41	Correct	2 ms	604 KB	Output is correct
42	Correct	2 ms	604 KB	Output is correct
43	Correct	2 ms	604 KB	Output is correct
44	Correct	2 ms	604 KB	Output is correct
45	Correct	2 ms	604 KB	Output is correct
46	Correct	2 ms	604 KB	Output is correct
47	Correct	2 ms	604 KB	Output is correct
48	Correct	2 ms	684 KB	Output is correct
49	Correct	2 ms	700 KB	Output is correct
50	Correct	2 ms	604 KB	Output is correct
51	Correct	2 ms	604 KB	Output is correct
52	Correct	2 ms	604 KB	Output is correct
53	Correct	2 ms	604 KB	Output is correct
54	Correct	2 ms	604 KB	Output is correct
55	Correct	249 ms	23280 KB	Output is correct
56	Correct	67 ms	44028 KB	Output is correct
57	Correct	143 ms	32508 KB	Output is correct
58	Correct	131 ms	24836 KB	Output is correct
59	Correct	159 ms	23756 KB	Output is correct
60	Correct	200 ms	28900 KB	Output is correct
61	Correct	162 ms	24704 KB	Output is correct
62	Correct	181 ms	29684 KB	Output is correct
63	Correct	103 ms	19204 KB	Output is correct
64	Correct	187 ms	25484 KB	Output is correct
65	Correct	210 ms	30972 KB	Output is correct

Subtask #6
29.0 / 29.0

#	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	344 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	344 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	404 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	348 KB	Output is correct
15	Correct	1 ms	348 KB	Output is correct
16	Correct	0 ms	344 KB	Output is correct
17	Correct	1 ms	348 KB	Output is correct
18	Correct	0 ms	348 KB	Output is correct
19	Correct	1 ms	348 KB	Output is correct
20	Correct	0 ms	344 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	0 ms	344 KB	Output is correct
26	Correct	0 ms	600 KB	Output is correct
27	Correct	0 ms	344 KB	Output is correct
28	Correct	0 ms	348 KB	Output is correct
29	Correct	1 ms	604 KB	Output is correct
30	Correct	2 ms	604 KB	Output is correct
31	Correct	2 ms	604 KB	Output is correct
32	Correct	2 ms	604 KB	Output is correct
33	Correct	1 ms	600 KB	Output is correct
34	Correct	2 ms	604 KB	Output is correct
35	Correct	2 ms	604 KB	Output is correct
36	Correct	2 ms	604 KB	Output is correct
37	Correct	3 ms	604 KB	Output is correct
38	Correct	1 ms	760 KB	Output is correct
39	Correct	2 ms	604 KB	Output is correct
40	Correct	2 ms	604 KB	Output is correct
41	Correct	2 ms	604 KB	Output is correct
42	Correct	2 ms	604 KB	Output is correct
43	Correct	2 ms	604 KB	Output is correct
44	Correct	2 ms	604 KB	Output is correct
45	Correct	2 ms	604 KB	Output is correct
46	Correct	2 ms	604 KB	Output is correct
47	Correct	2 ms	604 KB	Output is correct
48	Correct	2 ms	684 KB	Output is correct
49	Correct	2 ms	700 KB	Output is correct
50	Correct	2 ms	604 KB	Output is correct
51	Correct	2 ms	604 KB	Output is correct
52	Correct	2 ms	604 KB	Output is correct
53	Correct	2 ms	604 KB	Output is correct
54	Correct	2 ms	604 KB	Output is correct
55	Correct	269 ms	25220 KB	Output is correct
56	Correct	94 ms	44576 KB	Output is correct
57	Correct	176 ms	33348 KB	Output is correct
58	Correct	150 ms	26868 KB	Output is correct
59	Correct	152 ms	27132 KB	Output is correct
60	Correct	151 ms	22168 KB	Output is correct
61	Correct	175 ms	26364 KB	Output is correct
62	Correct	223 ms	33528 KB	Output is correct
63	Correct	190 ms	26192 KB	Output is correct
64	Correct	199 ms	31992 KB	Output is correct
65	Correct	110 ms	18936 KB	Output is correct
66	Correct	150 ms	23940 KB	Output is correct
67	Correct	209 ms	29460 KB	Output is correct
68	Correct	224 ms	34496 KB	Output is correct
69	Correct	277 ms	29948 KB	Output is correct
70	Correct	94 ms	45036 KB	Output is correct
71	Correct	239 ms	40696 KB	Output is correct
72	Correct	157 ms	28504 KB	Output is correct
73	Correct	157 ms	27132 KB	Output is correct
74	Correct	181 ms	25892 KB	Output is correct
75	Correct	243 ms	33500 KB	Output is correct
76	Correct	168 ms	25976 KB	Output is correct
77	Correct	201 ms	29280 KB	Output is correct
78	Correct	215 ms	33204 KB	Output is correct
79	Correct	112 ms	19532 KB	Output is correct
80	Correct	168 ms	26104 KB	Output is correct
81	Correct	209 ms	29448 KB	Output is correct
82	Correct	224 ms	34816 KB	Output is correct
83	Correct	249 ms	23280 KB	Output is correct
84	Correct	67 ms	44028 KB	Output is correct
85	Correct	143 ms	32508 KB	Output is correct
86	Correct	131 ms	24836 KB	Output is correct
87	Correct	159 ms	23756 KB	Output is correct
88	Correct	200 ms	28900 KB	Output is correct
89	Correct	162 ms	24704 KB	Output is correct
90	Correct	181 ms	29684 KB	Output is correct
91	Correct	103 ms	19204 KB	Output is correct
92	Correct	187 ms	25484 KB	Output is correct
93	Correct	210 ms	30972 KB	Output is correct
94	Correct	273 ms	29428 KB	Output is correct
95	Correct	343 ms	38648 KB	Output is correct
96	Correct	173 ms	35056 KB	Output is correct
97	Correct	153 ms	27644 KB	Output is correct
98	Correct	173 ms	27776 KB	Output is correct
99	Correct	162 ms	24316 KB	Output is correct
100	Correct	204 ms	35264 KB	Output is correct
101	Correct	169 ms	25600 KB	Output is correct
102	Correct	238 ms	31084 KB	Output is correct
103	Correct	238 ms	34676 KB	Output is correct
104	Correct	134 ms	21968 KB	Output is correct
105	Correct	201 ms	29944 KB	Output is correct
106	Correct	238 ms	33568 KB	Output is correct
107	Correct	166 ms	39380 KB	Output is correct
108	Correct	268 ms	29728 KB	Output is correct
109	Correct	276 ms	30160 KB	Output is correct
110	Correct	268 ms	30404 KB	Output is correct
111	Correct	278 ms	29936 KB	Output is correct
112	Correct	270 ms	28668 KB	Output is correct
113	Correct	272 ms	28524 KB	Output is correct
114	Correct	282 ms	29248 KB	Output is correct
115	Correct	273 ms	28668 KB	Output is correct
116	Correct	285 ms	28536 KB	Output is correct

Submission #877277

Compilation message

Subtask #1 6.0 / 6.0

Subtask #2 8.0 / 8.0

Subtask #3 25.0 / 25.0

Subtask #4 10.0 / 10.0

Subtask #5 22.0 / 22.0

Subtask #6 29.0 / 29.0

Subtask #1
6.0 / 6.0

Subtask #2
8.0 / 8.0

Subtask #3
25.0 / 25.0

Subtask #4
10.0 / 10.0

Subtask #5
22.0 / 22.0

Subtask #6
29.0 / 29.0