Submission #727599

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
727599	2023-04-21T02:47:17 Z	qwerasdfzxcl	Port Facility (JOI17_port_facility)	C++17	100 / 100	1048 ms	210648 KB

port_facility

#include <bits/stdc++.h>

using namespace std;
typedef long long ll;
constexpr int MOD = 1e9+7;

pair<int, int> operator + (const pair<int, int> &x, const pair<int, int> &y){return pair<int, int>(x.first + y.first, x.second + y.second);}
pair<int, int> operator - (const pair<int, int> &x, const pair<int, int> &y){return pair<int, int>(x.first - y.first, x.second - y.second);}

struct Seg{
	pair<int, int> tree[2002000];
	int sz;
	void init(int n){sz = n;}
	void update(int p, int x){
		pair<int, int> v(1, x);
		while(p<=sz){
			tree[p] = tree[p] + v;
			p += p&-p;
		}
	}
	pair<int, int> sum(int p){
		pair<int, int> ret(0, 0);
		while(p){
			ret = ret + tree[p];
			p -= p&-p;
		}
		return ret;
	}
	int query(int l, int r){
		auto p = sum(r) - sum(l-1);
		if (p.second==0 && p.first) return 1;
		else if (p.second==0) return -2;
		
		if (p.second==p.first) return 0;
		return -1;
	}
}tree;

struct DSU{
	int path[2002000], R[2002000], c;
	void init(int n){c = n; for (int i=1;i<=n;i++) path[i] = R[i] = i;}
	int find(int s){
		if (s==path[s]) return s;
		return path[s] = find(path[s]);
	}
	void merge(int s, int v){
		s = find(s), v = find(v);
		if (s==v) return;
		--c;
		path[s] = v;
		R[v] = max(R[v], R[s]);
	}
	int r(int x){return R[find(x)];}
}dsu;
vector<int> adj[2002000];
int a[2002000], visited[2002000], col[2002000];

ll pw(ll a, ll e){
	if (!e) return 1;
	ll ret = pw(a, e/2);
	if (e&1) return ret * ret % MOD * a % MOD;
	return ret * ret % MOD;
}

void dfs(int s, int pa = 0){
	col[a[s]] = col[s];
	visited[s] = 1;
	for (auto &v:adj[s]) if (v!=pa){
		col[v] = col[s] ^ 1;
		dfs(v, s);
	}
}

int main(){
	ios_base::sync_with_stdio(0); cin.tie(0);

	int n;
	cin >> n;
	tree.init(n*2);
	dsu.init(n*2);

	for (int i=1;i<=n;i++){
		int x, y;
		cin >> x >> y;
		a[x] = y;
		a[y] = x;
		dsu.merge(x, y);
	} 

	vector<int> st;
	for (int i=1;i<=n*2;i++){
		while(!st.empty() && st.back() < i) st.pop_back();
		
		if (i < a[i]){
			st.push_back(a[i]);
		}

		else{
			int R = dsu.r(i);
			while(!st.empty() && st.back() != R){
				dsu.merge(i, st.back());
				adj[i].push_back(st.back());
				adj[st.back()].push_back(i);
				st.pop_back();
			}
			st.back() = dsu.r(i);
		}
		assert(st.back()==dsu.r(i));
	}

	for (int i=1;i<=n*2;i++) if (a[i] < i && !visited[i]) dfs(i);
	for (int i=1;i<=n*2;i++) if (i < a[i]){
		int tmp = tree.query(i, a[i]);
		if (tmp!=col[i] && tmp!=-2){
			printf("0\n");
			return 0;
		}
		tree.update(a[i], col[i]);
	}

	printf("%lld\n", pw(2, dsu.c));
}

Subtask #1
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	28 ms	62924 KB	Output is correct
2	Correct	29 ms	63024 KB	Output is correct
3	Correct	28 ms	63024 KB	Output is correct
4	Correct	31 ms	63032 KB	Output is correct
5	Correct	27 ms	63048 KB	Output is correct
6	Correct	28 ms	62956 KB	Output is correct
7	Correct	28 ms	62932 KB	Output is correct
8	Correct	29 ms	63044 KB	Output is correct
9	Correct	28 ms	62948 KB	Output is correct
10	Correct	28 ms	62960 KB	Output is correct
11	Correct	28 ms	62972 KB	Output is correct
12	Correct	28 ms	63000 KB	Output is correct
13	Correct	27 ms	62912 KB	Output is correct
14	Correct	27 ms	63044 KB	Output is correct
15	Correct	28 ms	62960 KB	Output is correct
16	Correct	29 ms	62960 KB	Output is correct
17	Correct	27 ms	63028 KB	Output is correct
18	Correct	29 ms	63060 KB	Output is correct
19	Correct	29 ms	62984 KB	Output is correct
20	Correct	29 ms	62988 KB	Output is correct
21	Correct	28 ms	63056 KB	Output is correct
22	Correct	32 ms	62924 KB	Output is correct
23	Correct	27 ms	62932 KB	Output is correct
24	Correct	29 ms	62916 KB	Output is correct

Subtask #2
12.0 / 12.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	28 ms	62924 KB	Output is correct
2	Correct	29 ms	63024 KB	Output is correct
3	Correct	28 ms	63024 KB	Output is correct
4	Correct	31 ms	63032 KB	Output is correct
5	Correct	27 ms	63048 KB	Output is correct
6	Correct	28 ms	62956 KB	Output is correct
7	Correct	28 ms	62932 KB	Output is correct
8	Correct	29 ms	63044 KB	Output is correct
9	Correct	28 ms	62948 KB	Output is correct
10	Correct	28 ms	62960 KB	Output is correct
11	Correct	28 ms	62972 KB	Output is correct
12	Correct	28 ms	63000 KB	Output is correct
13	Correct	27 ms	62912 KB	Output is correct
14	Correct	27 ms	63044 KB	Output is correct
15	Correct	28 ms	62960 KB	Output is correct
16	Correct	29 ms	62960 KB	Output is correct
17	Correct	27 ms	63028 KB	Output is correct
18	Correct	29 ms	63060 KB	Output is correct
19	Correct	29 ms	62984 KB	Output is correct
20	Correct	29 ms	62988 KB	Output is correct
21	Correct	28 ms	63056 KB	Output is correct
22	Correct	32 ms	62924 KB	Output is correct
23	Correct	27 ms	62932 KB	Output is correct
24	Correct	29 ms	62916 KB	Output is correct
25	Correct	32 ms	63148 KB	Output is correct
26	Correct	29 ms	63212 KB	Output is correct
27	Correct	29 ms	63168 KB	Output is correct
28	Correct	29 ms	63172 KB	Output is correct
29	Correct	28 ms	63188 KB	Output is correct
30	Correct	29 ms	63160 KB	Output is correct
31	Correct	29 ms	63152 KB	Output is correct
32	Correct	29 ms	63180 KB	Output is correct
33	Correct	28 ms	63188 KB	Output is correct
34	Correct	28 ms	63196 KB	Output is correct
35	Correct	28 ms	63100 KB	Output is correct
36	Correct	28 ms	63116 KB	Output is correct
37	Correct	28 ms	63108 KB	Output is correct
38	Correct	30 ms	63208 KB	Output is correct
39	Correct	28 ms	63188 KB	Output is correct
40	Correct	28 ms	63104 KB	Output is correct
41	Correct	28 ms	63144 KB	Output is correct
42	Correct	28 ms	63216 KB	Output is correct
43	Correct	30 ms	63276 KB	Output is correct
44	Correct	30 ms	63300 KB	Output is correct

Subtask #3
56.0 / 56.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	28 ms	62924 KB	Output is correct
2	Correct	29 ms	63024 KB	Output is correct
3	Correct	28 ms	63024 KB	Output is correct
4	Correct	31 ms	63032 KB	Output is correct
5	Correct	27 ms	63048 KB	Output is correct
6	Correct	28 ms	62956 KB	Output is correct
7	Correct	28 ms	62932 KB	Output is correct
8	Correct	29 ms	63044 KB	Output is correct
9	Correct	28 ms	62948 KB	Output is correct
10	Correct	28 ms	62960 KB	Output is correct
11	Correct	28 ms	62972 KB	Output is correct
12	Correct	28 ms	63000 KB	Output is correct
13	Correct	27 ms	62912 KB	Output is correct
14	Correct	27 ms	63044 KB	Output is correct
15	Correct	28 ms	62960 KB	Output is correct
16	Correct	29 ms	62960 KB	Output is correct
17	Correct	27 ms	63028 KB	Output is correct
18	Correct	29 ms	63060 KB	Output is correct
19	Correct	29 ms	62984 KB	Output is correct
20	Correct	29 ms	62988 KB	Output is correct
21	Correct	28 ms	63056 KB	Output is correct
22	Correct	32 ms	62924 KB	Output is correct
23	Correct	27 ms	62932 KB	Output is correct
24	Correct	29 ms	62916 KB	Output is correct
25	Correct	32 ms	63148 KB	Output is correct
26	Correct	29 ms	63212 KB	Output is correct
27	Correct	29 ms	63168 KB	Output is correct
28	Correct	29 ms	63172 KB	Output is correct
29	Correct	28 ms	63188 KB	Output is correct
30	Correct	29 ms	63160 KB	Output is correct
31	Correct	29 ms	63152 KB	Output is correct
32	Correct	29 ms	63180 KB	Output is correct
33	Correct	28 ms	63188 KB	Output is correct
34	Correct	28 ms	63196 KB	Output is correct
35	Correct	28 ms	63100 KB	Output is correct
36	Correct	28 ms	63116 KB	Output is correct
37	Correct	28 ms	63108 KB	Output is correct
38	Correct	30 ms	63208 KB	Output is correct
39	Correct	28 ms	63188 KB	Output is correct
40	Correct	28 ms	63104 KB	Output is correct
41	Correct	28 ms	63144 KB	Output is correct
42	Correct	28 ms	63216 KB	Output is correct
43	Correct	30 ms	63276 KB	Output is correct
44	Correct	30 ms	63300 KB	Output is correct
45	Correct	68 ms	71376 KB	Output is correct
46	Correct	72 ms	71756 KB	Output is correct
47	Correct	70 ms	71108 KB	Output is correct
48	Correct	73 ms	71704 KB	Output is correct
49	Correct	73 ms	71080 KB	Output is correct
50	Correct	65 ms	71608 KB	Output is correct
51	Correct	68 ms	71628 KB	Output is correct
52	Correct	56 ms	68164 KB	Output is correct
53	Correct	64 ms	67916 KB	Output is correct
54	Correct	62 ms	71708 KB	Output is correct
55	Correct	58 ms	71500 KB	Output is correct
56	Correct	59 ms	71492 KB	Output is correct
57	Correct	59 ms	71260 KB	Output is correct
58	Correct	54 ms	68180 KB	Output is correct
59	Correct	58 ms	68804 KB	Output is correct
60	Correct	65 ms	70172 KB	Output is correct
61	Correct	69 ms	70724 KB	Output is correct
62	Correct	55 ms	70072 KB	Output is correct
63	Correct	60 ms	70448 KB	Output is correct
64	Correct	62 ms	70840 KB	Output is correct
65	Correct	78 ms	71840 KB	Output is correct
66	Correct	74 ms	71648 KB	Output is correct
67	Correct	65 ms	71500 KB	Output is correct
68	Correct	67 ms	71596 KB	Output is correct
69	Correct	65 ms	71628 KB	Output is correct
70	Correct	68 ms	71516 KB	Output is correct
71	Correct	63 ms	72268 KB	Output is correct
72	Correct	63 ms	72384 KB	Output is correct
73	Correct	61 ms	72644 KB	Output is correct
74	Correct	61 ms	72644 KB	Output is correct
75	Correct	68 ms	77508 KB	Output is correct
76	Correct	66 ms	77516 KB	Output is correct
77	Correct	77 ms	77476 KB	Output is correct
78	Correct	89 ms	71660 KB	Output is correct
79	Correct	82 ms	71360 KB	Output is correct

Subtask #4
22.0 / 22.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	28 ms	62924 KB	Output is correct
2	Correct	29 ms	63024 KB	Output is correct
3	Correct	28 ms	63024 KB	Output is correct
4	Correct	31 ms	63032 KB	Output is correct
5	Correct	27 ms	63048 KB	Output is correct
6	Correct	28 ms	62956 KB	Output is correct
7	Correct	28 ms	62932 KB	Output is correct
8	Correct	29 ms	63044 KB	Output is correct
9	Correct	28 ms	62948 KB	Output is correct
10	Correct	28 ms	62960 KB	Output is correct
11	Correct	28 ms	62972 KB	Output is correct
12	Correct	28 ms	63000 KB	Output is correct
13	Correct	27 ms	62912 KB	Output is correct
14	Correct	27 ms	63044 KB	Output is correct
15	Correct	28 ms	62960 KB	Output is correct
16	Correct	29 ms	62960 KB	Output is correct
17	Correct	27 ms	63028 KB	Output is correct
18	Correct	29 ms	63060 KB	Output is correct
19	Correct	29 ms	62984 KB	Output is correct
20	Correct	29 ms	62988 KB	Output is correct
21	Correct	28 ms	63056 KB	Output is correct
22	Correct	32 ms	62924 KB	Output is correct
23	Correct	27 ms	62932 KB	Output is correct
24	Correct	29 ms	62916 KB	Output is correct
25	Correct	32 ms	63148 KB	Output is correct
26	Correct	29 ms	63212 KB	Output is correct
27	Correct	29 ms	63168 KB	Output is correct
28	Correct	29 ms	63172 KB	Output is correct
29	Correct	28 ms	63188 KB	Output is correct
30	Correct	29 ms	63160 KB	Output is correct
31	Correct	29 ms	63152 KB	Output is correct
32	Correct	29 ms	63180 KB	Output is correct
33	Correct	28 ms	63188 KB	Output is correct
34	Correct	28 ms	63196 KB	Output is correct
35	Correct	28 ms	63100 KB	Output is correct
36	Correct	28 ms	63116 KB	Output is correct
37	Correct	28 ms	63108 KB	Output is correct
38	Correct	30 ms	63208 KB	Output is correct
39	Correct	28 ms	63188 KB	Output is correct
40	Correct	28 ms	63104 KB	Output is correct
41	Correct	28 ms	63144 KB	Output is correct
42	Correct	28 ms	63216 KB	Output is correct
43	Correct	30 ms	63276 KB	Output is correct
44	Correct	30 ms	63300 KB	Output is correct
45	Correct	68 ms	71376 KB	Output is correct
46	Correct	72 ms	71756 KB	Output is correct
47	Correct	70 ms	71108 KB	Output is correct
48	Correct	73 ms	71704 KB	Output is correct
49	Correct	73 ms	71080 KB	Output is correct
50	Correct	65 ms	71608 KB	Output is correct
51	Correct	68 ms	71628 KB	Output is correct
52	Correct	56 ms	68164 KB	Output is correct
53	Correct	64 ms	67916 KB	Output is correct
54	Correct	62 ms	71708 KB	Output is correct
55	Correct	58 ms	71500 KB	Output is correct
56	Correct	59 ms	71492 KB	Output is correct
57	Correct	59 ms	71260 KB	Output is correct
58	Correct	54 ms	68180 KB	Output is correct
59	Correct	58 ms	68804 KB	Output is correct
60	Correct	65 ms	70172 KB	Output is correct
61	Correct	69 ms	70724 KB	Output is correct
62	Correct	55 ms	70072 KB	Output is correct
63	Correct	60 ms	70448 KB	Output is correct
64	Correct	62 ms	70840 KB	Output is correct
65	Correct	78 ms	71840 KB	Output is correct
66	Correct	74 ms	71648 KB	Output is correct
67	Correct	65 ms	71500 KB	Output is correct
68	Correct	67 ms	71596 KB	Output is correct
69	Correct	65 ms	71628 KB	Output is correct
70	Correct	68 ms	71516 KB	Output is correct
71	Correct	63 ms	72268 KB	Output is correct
72	Correct	63 ms	72384 KB	Output is correct
73	Correct	61 ms	72644 KB	Output is correct
74	Correct	61 ms	72644 KB	Output is correct
75	Correct	68 ms	77508 KB	Output is correct
76	Correct	66 ms	77516 KB	Output is correct
77	Correct	77 ms	77476 KB	Output is correct
78	Correct	89 ms	71660 KB	Output is correct
79	Correct	82 ms	71360 KB	Output is correct
80	Correct	747 ms	146400 KB	Output is correct
81	Correct	671 ms	145868 KB	Output is correct
82	Correct	622 ms	144660 KB	Output is correct
83	Correct	625 ms	146136 KB	Output is correct
84	Correct	662 ms	146376 KB	Output is correct
85	Correct	611 ms	145376 KB	Output is correct
86	Correct	659 ms	146132 KB	Output is correct
87	Correct	489 ms	116644 KB	Output is correct
88	Correct	574 ms	112860 KB	Output is correct
89	Correct	551 ms	151884 KB	Output is correct
90	Correct	558 ms	149972 KB	Output is correct
91	Correct	564 ms	149976 KB	Output is correct
92	Correct	545 ms	147932 KB	Output is correct
93	Correct	496 ms	116964 KB	Output is correct
94	Correct	569 ms	129720 KB	Output is correct
95	Correct	735 ms	141096 KB	Output is correct
96	Correct	637 ms	143572 KB	Output is correct
97	Correct	511 ms	135572 KB	Output is correct
98	Correct	583 ms	142708 KB	Output is correct
99	Correct	587 ms	147196 KB	Output is correct
100	Correct	1048 ms	152608 KB	Output is correct
101	Correct	1031 ms	152988 KB	Output is correct
102	Correct	612 ms	150668 KB	Output is correct
103	Correct	605 ms	150560 KB	Output is correct
104	Correct	610 ms	150720 KB	Output is correct
105	Correct	613 ms	150836 KB	Output is correct
106	Correct	591 ms	158520 KB	Output is correct
107	Correct	593 ms	158516 KB	Output is correct
108	Correct	582 ms	160568 KB	Output is correct
109	Correct	591 ms	160724 KB	Output is correct
110	Correct	579 ms	210644 KB	Output is correct
111	Correct	625 ms	210648 KB	Output is correct
112	Correct	602 ms	210628 KB	Output is correct
113	Correct	647 ms	144808 KB	Output is correct
114	Correct	648 ms	145764 KB	Output is correct

Submission #727599

Compilation message

Subtask #1 10.0 / 10.0

Subtask #2 12.0 / 12.0

Subtask #3 56.0 / 56.0

Subtask #4 22.0 / 22.0

Subtask #1
10.0 / 10.0

Subtask #2
12.0 / 12.0

Subtask #3
56.0 / 56.0

Subtask #4
22.0 / 22.0