Submission #412316

# Submission time Handle Problem Language Result Execution time Memory
412316 2021-05-26T17:17:28 Z ngpin04 Port Facility (JOI17_port_facility) C++14
100 / 100
1281 ms 144036 KB
#include <bits/stdc++.h>
#define fi first
#define se second
#define mp make_pair
using namespace std;
const int N = 1e6 + 5; 
const int mod = 1e9 + 7;

vector <pair <int, int>> s[3];
vector <int> adj[N];

pair <int, int> a[N];

int id[2 * N];
int c[N];
int nxt[N];
int par[N];
int n;

int getnxt(int u) {
	return (nxt[u] == u || nxt[u] == 0) ? u : (nxt[u] = getnxt(nxt[u]));
}

int getpar(int u) {
	return (par[u] < 0) ? u : (par[u] = getpar(par[u]));
}

bool join(int u, int v) {
	u = getpar(u);
	v = getpar(v);
	if (u == v)
		return false;
	if (par[u] > par[v])
		swap(u, v);
	par[u] += par[v];
	par[v] = u;
	return true;
}

void dfs(int u) {
	for (int v : adj[u]) {
		if (!c[v]) {
			c[v] = 3 - c[u];
			dfs(v);
		} else if (c[u] == c[v]) {
			cout << 0;
			exit(0);
		}
	}
}

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cin >> n;
	for (int i = 1; i <= n; i++) 
		cin >> a[i].fi >> a[i].se;
	sort(a + 1, a + n + 1);
	for (int i = 1; i <= n; i++) {
		id[a[i].fi] = i;
		id[a[i].se] = -i;
	}

	for (int i = 1, cur = 0; i <= 2 * n; i++) {
		int u = abs(id[i]);
		if (id[i] > 0) {
			nxt[u] = u;
			par[u] = -1;
			cur = u;
		} else {
			int pos = u;
			while (pos <= cur) {
				int lo = pos;
				int hi = n + 1;
				while (hi - lo > 1) {
					int mid = (lo + hi) >> 1;
					int nxtmid = getnxt(mid);
					if (nxtmid <= cur && getpar(nxtmid) == getpar(u)) 
						lo = mid;
					else 
						hi = mid;
				}
				pos = getnxt(hi);
				if (pos <= cur) {
					adj[u].push_back(pos);
					adj[pos].push_back(u);
					assert(join(u, pos));
				}
			}
			nxt[u] = u + 1;
		}
	}

	for (int i = 1; i <= n; i++)
		if (!c[i]) 
			c[i] = 1, dfs(i);

	for (int i = 1; i <= 2; i++)
		s[i].push_back(mp(0, 2 * n + 1));

	for (int i = 1; i <= 2 * n; i++) {
		int u = abs(id[i]);
		if (id[i] < 0) 
			s[c[u]].pop_back();
		else {
			if (a[u].se > s[c[u]].back().se) 
				return cout << 0, 0;
			s[c[u]].push_back(a[u]);
		}
	}

	int ans = 1;

	for (int i = 1; i <= n; i++)
		if (par[i] < 0)
			ans = ans * 2 % mod;

	cout << ans;
	return 0;	
}
# Verdict Execution time Memory Grader output
1 Correct 18 ms 23756 KB Output is correct
2 Correct 18 ms 23804 KB Output is correct
3 Correct 15 ms 23752 KB Output is correct
4 Correct 18 ms 23756 KB Output is correct
5 Correct 19 ms 23768 KB Output is correct
6 Correct 17 ms 23844 KB Output is correct
7 Correct 16 ms 23784 KB Output is correct
8 Correct 17 ms 23756 KB Output is correct
9 Correct 16 ms 23792 KB Output is correct
10 Correct 19 ms 23808 KB Output is correct
11 Correct 15 ms 23756 KB Output is correct
12 Correct 18 ms 23756 KB Output is correct
13 Correct 18 ms 23756 KB Output is correct
14 Correct 18 ms 23756 KB Output is correct
15 Correct 17 ms 23804 KB Output is correct
16 Correct 15 ms 23808 KB Output is correct
17 Correct 19 ms 23756 KB Output is correct
18 Correct 18 ms 23756 KB Output is correct
19 Correct 17 ms 23800 KB Output is correct
20 Correct 17 ms 23736 KB Output is correct
21 Correct 15 ms 23756 KB Output is correct
22 Correct 17 ms 23812 KB Output is correct
23 Correct 19 ms 23812 KB Output is correct
24 Correct 16 ms 23736 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 18 ms 23756 KB Output is correct
2 Correct 18 ms 23804 KB Output is correct
3 Correct 15 ms 23752 KB Output is correct
4 Correct 18 ms 23756 KB Output is correct
5 Correct 19 ms 23768 KB Output is correct
6 Correct 17 ms 23844 KB Output is correct
7 Correct 16 ms 23784 KB Output is correct
8 Correct 17 ms 23756 KB Output is correct
9 Correct 16 ms 23792 KB Output is correct
10 Correct 19 ms 23808 KB Output is correct
11 Correct 15 ms 23756 KB Output is correct
12 Correct 18 ms 23756 KB Output is correct
13 Correct 18 ms 23756 KB Output is correct
14 Correct 18 ms 23756 KB Output is correct
15 Correct 17 ms 23804 KB Output is correct
16 Correct 15 ms 23808 KB Output is correct
17 Correct 19 ms 23756 KB Output is correct
18 Correct 18 ms 23756 KB Output is correct
19 Correct 17 ms 23800 KB Output is correct
20 Correct 17 ms 23736 KB Output is correct
21 Correct 15 ms 23756 KB Output is correct
22 Correct 17 ms 23812 KB Output is correct
23 Correct 19 ms 23812 KB Output is correct
24 Correct 16 ms 23736 KB Output is correct
25 Correct 16 ms 23964 KB Output is correct
26 Correct 19 ms 23992 KB Output is correct
27 Correct 20 ms 23992 KB Output is correct
28 Correct 16 ms 23884 KB Output is correct
29 Correct 18 ms 24012 KB Output is correct
30 Correct 19 ms 23896 KB Output is correct
31 Correct 16 ms 23884 KB Output is correct
32 Correct 18 ms 24012 KB Output is correct
33 Correct 16 ms 23884 KB Output is correct
34 Correct 19 ms 23944 KB Output is correct
35 Correct 18 ms 23824 KB Output is correct
36 Correct 18 ms 23892 KB Output is correct
37 Correct 16 ms 23980 KB Output is correct
38 Correct 17 ms 23904 KB Output is correct
39 Correct 16 ms 23948 KB Output is correct
40 Correct 16 ms 23896 KB Output is correct
41 Correct 17 ms 23884 KB Output is correct
42 Correct 19 ms 23884 KB Output is correct
43 Correct 19 ms 23952 KB Output is correct
44 Correct 17 ms 24012 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 18 ms 23756 KB Output is correct
2 Correct 18 ms 23804 KB Output is correct
3 Correct 15 ms 23752 KB Output is correct
4 Correct 18 ms 23756 KB Output is correct
5 Correct 19 ms 23768 KB Output is correct
6 Correct 17 ms 23844 KB Output is correct
7 Correct 16 ms 23784 KB Output is correct
8 Correct 17 ms 23756 KB Output is correct
9 Correct 16 ms 23792 KB Output is correct
10 Correct 19 ms 23808 KB Output is correct
11 Correct 15 ms 23756 KB Output is correct
12 Correct 18 ms 23756 KB Output is correct
13 Correct 18 ms 23756 KB Output is correct
14 Correct 18 ms 23756 KB Output is correct
15 Correct 17 ms 23804 KB Output is correct
16 Correct 15 ms 23808 KB Output is correct
17 Correct 19 ms 23756 KB Output is correct
18 Correct 18 ms 23756 KB Output is correct
19 Correct 17 ms 23800 KB Output is correct
20 Correct 17 ms 23736 KB Output is correct
21 Correct 15 ms 23756 KB Output is correct
22 Correct 17 ms 23812 KB Output is correct
23 Correct 19 ms 23812 KB Output is correct
24 Correct 16 ms 23736 KB Output is correct
25 Correct 16 ms 23964 KB Output is correct
26 Correct 19 ms 23992 KB Output is correct
27 Correct 20 ms 23992 KB Output is correct
28 Correct 16 ms 23884 KB Output is correct
29 Correct 18 ms 24012 KB Output is correct
30 Correct 19 ms 23896 KB Output is correct
31 Correct 16 ms 23884 KB Output is correct
32 Correct 18 ms 24012 KB Output is correct
33 Correct 16 ms 23884 KB Output is correct
34 Correct 19 ms 23944 KB Output is correct
35 Correct 18 ms 23824 KB Output is correct
36 Correct 18 ms 23892 KB Output is correct
37 Correct 16 ms 23980 KB Output is correct
38 Correct 17 ms 23904 KB Output is correct
39 Correct 16 ms 23948 KB Output is correct
40 Correct 16 ms 23896 KB Output is correct
41 Correct 17 ms 23884 KB Output is correct
42 Correct 19 ms 23884 KB Output is correct
43 Correct 19 ms 23952 KB Output is correct
44 Correct 17 ms 24012 KB Output is correct
45 Correct 89 ms 31368 KB Output is correct
46 Correct 93 ms 31612 KB Output is correct
47 Correct 99 ms 31152 KB Output is correct
48 Correct 106 ms 31636 KB Output is correct
49 Correct 108 ms 31156 KB Output is correct
50 Correct 113 ms 31140 KB Output is correct
51 Correct 86 ms 31476 KB Output is correct
52 Correct 53 ms 27828 KB Output is correct
53 Correct 68 ms 28952 KB Output is correct
54 Correct 79 ms 31324 KB Output is correct
55 Correct 75 ms 31456 KB Output is correct
56 Correct 71 ms 31296 KB Output is correct
57 Correct 69 ms 30956 KB Output is correct
58 Correct 56 ms 27780 KB Output is correct
59 Correct 72 ms 28712 KB Output is correct
60 Correct 90 ms 30184 KB Output is correct
61 Correct 94 ms 30680 KB Output is correct
62 Correct 71 ms 29408 KB Output is correct
63 Correct 78 ms 29896 KB Output is correct
64 Correct 86 ms 30272 KB Output is correct
65 Correct 91 ms 31192 KB Output is correct
66 Correct 111 ms 31284 KB Output is correct
67 Correct 93 ms 32284 KB Output is correct
68 Correct 81 ms 32296 KB Output is correct
69 Correct 84 ms 32660 KB Output is correct
70 Correct 85 ms 32648 KB Output is correct
71 Correct 78 ms 32432 KB Output is correct
72 Correct 76 ms 32424 KB Output is correct
73 Correct 76 ms 32828 KB Output is correct
74 Correct 85 ms 32804 KB Output is correct
75 Correct 86 ms 35632 KB Output is correct
76 Correct 73 ms 35608 KB Output is correct
77 Correct 80 ms 35588 KB Output is correct
78 Correct 88 ms 31544 KB Output is correct
79 Correct 92 ms 31224 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 18 ms 23756 KB Output is correct
2 Correct 18 ms 23804 KB Output is correct
3 Correct 15 ms 23752 KB Output is correct
4 Correct 18 ms 23756 KB Output is correct
5 Correct 19 ms 23768 KB Output is correct
6 Correct 17 ms 23844 KB Output is correct
7 Correct 16 ms 23784 KB Output is correct
8 Correct 17 ms 23756 KB Output is correct
9 Correct 16 ms 23792 KB Output is correct
10 Correct 19 ms 23808 KB Output is correct
11 Correct 15 ms 23756 KB Output is correct
12 Correct 18 ms 23756 KB Output is correct
13 Correct 18 ms 23756 KB Output is correct
14 Correct 18 ms 23756 KB Output is correct
15 Correct 17 ms 23804 KB Output is correct
16 Correct 15 ms 23808 KB Output is correct
17 Correct 19 ms 23756 KB Output is correct
18 Correct 18 ms 23756 KB Output is correct
19 Correct 17 ms 23800 KB Output is correct
20 Correct 17 ms 23736 KB Output is correct
21 Correct 15 ms 23756 KB Output is correct
22 Correct 17 ms 23812 KB Output is correct
23 Correct 19 ms 23812 KB Output is correct
24 Correct 16 ms 23736 KB Output is correct
25 Correct 16 ms 23964 KB Output is correct
26 Correct 19 ms 23992 KB Output is correct
27 Correct 20 ms 23992 KB Output is correct
28 Correct 16 ms 23884 KB Output is correct
29 Correct 18 ms 24012 KB Output is correct
30 Correct 19 ms 23896 KB Output is correct
31 Correct 16 ms 23884 KB Output is correct
32 Correct 18 ms 24012 KB Output is correct
33 Correct 16 ms 23884 KB Output is correct
34 Correct 19 ms 23944 KB Output is correct
35 Correct 18 ms 23824 KB Output is correct
36 Correct 18 ms 23892 KB Output is correct
37 Correct 16 ms 23980 KB Output is correct
38 Correct 17 ms 23904 KB Output is correct
39 Correct 16 ms 23948 KB Output is correct
40 Correct 16 ms 23896 KB Output is correct
41 Correct 17 ms 23884 KB Output is correct
42 Correct 19 ms 23884 KB Output is correct
43 Correct 19 ms 23952 KB Output is correct
44 Correct 17 ms 24012 KB Output is correct
45 Correct 89 ms 31368 KB Output is correct
46 Correct 93 ms 31612 KB Output is correct
47 Correct 99 ms 31152 KB Output is correct
48 Correct 106 ms 31636 KB Output is correct
49 Correct 108 ms 31156 KB Output is correct
50 Correct 113 ms 31140 KB Output is correct
51 Correct 86 ms 31476 KB Output is correct
52 Correct 53 ms 27828 KB Output is correct
53 Correct 68 ms 28952 KB Output is correct
54 Correct 79 ms 31324 KB Output is correct
55 Correct 75 ms 31456 KB Output is correct
56 Correct 71 ms 31296 KB Output is correct
57 Correct 69 ms 30956 KB Output is correct
58 Correct 56 ms 27780 KB Output is correct
59 Correct 72 ms 28712 KB Output is correct
60 Correct 90 ms 30184 KB Output is correct
61 Correct 94 ms 30680 KB Output is correct
62 Correct 71 ms 29408 KB Output is correct
63 Correct 78 ms 29896 KB Output is correct
64 Correct 86 ms 30272 KB Output is correct
65 Correct 91 ms 31192 KB Output is correct
66 Correct 111 ms 31284 KB Output is correct
67 Correct 93 ms 32284 KB Output is correct
68 Correct 81 ms 32296 KB Output is correct
69 Correct 84 ms 32660 KB Output is correct
70 Correct 85 ms 32648 KB Output is correct
71 Correct 78 ms 32432 KB Output is correct
72 Correct 76 ms 32424 KB Output is correct
73 Correct 76 ms 32828 KB Output is correct
74 Correct 85 ms 32804 KB Output is correct
75 Correct 86 ms 35632 KB Output is correct
76 Correct 73 ms 35608 KB Output is correct
77 Correct 80 ms 35588 KB Output is correct
78 Correct 88 ms 31544 KB Output is correct
79 Correct 92 ms 31224 KB Output is correct
80 Correct 887 ms 97336 KB Output is correct
81 Correct 872 ms 96904 KB Output is correct
82 Correct 930 ms 96096 KB Output is correct
83 Correct 909 ms 97068 KB Output is correct
84 Correct 937 ms 97336 KB Output is correct
85 Correct 992 ms 95896 KB Output is correct
86 Correct 947 ms 96436 KB Output is correct
87 Correct 439 ms 65748 KB Output is correct
88 Correct 497 ms 74084 KB Output is correct
89 Correct 691 ms 101072 KB Output is correct
90 Correct 706 ms 100952 KB Output is correct
91 Correct 741 ms 100928 KB Output is correct
92 Correct 519 ms 96976 KB Output is correct
93 Correct 486 ms 65644 KB Output is correct
94 Correct 702 ms 81008 KB Output is correct
95 Correct 820 ms 92264 KB Output is correct
96 Correct 803 ms 94704 KB Output is correct
97 Correct 659 ms 83932 KB Output is correct
98 Correct 774 ms 91948 KB Output is correct
99 Correct 902 ms 94420 KB Output is correct
100 Correct 1196 ms 100280 KB Output is correct
101 Correct 1281 ms 99516 KB Output is correct
102 Correct 751 ms 109648 KB Output is correct
103 Correct 796 ms 109584 KB Output is correct
104 Correct 771 ms 110740 KB Output is correct
105 Correct 676 ms 110844 KB Output is correct
106 Correct 764 ms 110952 KB Output is correct
107 Correct 843 ms 111024 KB Output is correct
108 Correct 701 ms 111900 KB Output is correct
109 Correct 781 ms 111940 KB Output is correct
110 Correct 636 ms 143912 KB Output is correct
111 Correct 656 ms 143920 KB Output is correct
112 Correct 716 ms 144036 KB Output is correct
113 Correct 879 ms 96048 KB Output is correct
114 Correct 959 ms 96956 KB Output is correct