oj.uz

Submission #459496

# Submission time Handle Problem Language Result Execution time Memory
459496 2021-08-08T14:39:34 Z S920105123 Port Facility (JOI17_port_facility) C++14
100 / 100
 1242 ms 190904 KB 
#include <bits/stdc++.h>
#define LL long long
#define PII pair<int, int>
const LL MOD = (LL) 1e9 + 7;
const int MAXN = 2000005;
using namespace std;

struct Interval {
	int l, r;
};

struct DSU {
	int pa[MAXN];
	void init(int n) {
		for (int i = 0; i <= n; i++) {
			pa[i] = i;
		}
	}
	int find(int x) {
		return x == pa[x] ? x : pa[x] = find(pa[x]);
	}
	int merge(int x, int y) {
		assert(x <= y);
		x = find(x); y = find(y);
		assert(x <= y);
		if (x == y) return 0;
		pa[x] = y;
		return 1;
	}
} U_nxt, U_jmp;

int n, col[MAXN], id[MAXN];
vector<int> G[MAXN];
Interval I[MAXN];

void add_edge(int u, int v) {
	G[u].push_back(v);
	G[v].push_back(u);
}

int dfs(int v, int c) {
	int ok = 1;
	col[v] = c;
	for (int to : G[v]) {
		if (col[to] == -1) {
			ok &= dfs(to, c ^ 1);
		}
		else {
			ok &= (col[to] != col[v]);
		}
	}
	return ok;
}

int main() {
	ios_base::sync_with_stdio(0); cin.tie(0);
	cin >> n;
	U_jmp.init(2 * n + 1);
	U_nxt.init(2 * n + 1);
	for (int i = 1; i <= n; i++) {
		cin >> I[i].l >> I[i].r;
	}
	sort(I + 1, I + 1 + n, [&] (Interval a, Interval b) {
		return a.l < b.l;
	});
	for (int i = 1; i <= n; i++) {
		U_jmp.merge(I[i].l, I[i].l + 1);
		U_nxt.merge(I[i].l, I[i].l + 1);
		id[I[i].l] = id[I[i].r] = i;
	}
	
	for (int i = n; i >= 1; i--) {
		U_nxt.merge(I[i].r, I[i].r + 1);
		int pre = -1, cur = U_nxt.find(I[i].l);
		while (cur < I[i].r) {
			add_edge(id[cur], i);
			if (pre != -1) {
				U_jmp.merge(pre, cur);
			}
			pre = cur;
			cur = U_jmp.find(cur);
			cur = U_nxt.find(cur + 1);
		}
	}
	
	int cc = 0;
	fill(col + 1, col + 1 + n, -1);
	for (int i = 1; i <= n; i++) {
		if (col[i] == -1) {
			if (!dfs(i, 0)) {
				cout << "0\n";
				return 0;
			}
			cc++;
		}
	}
	LL ans = 1;
	for (int i = 0; i < cc; i++) {
		ans = ans * 2 % MOD;
	}
	cout << ans << '\n';
	return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 47296 KB Output is correct
2 Correct 32 ms 47284 KB Output is correct
3 Correct 31 ms 47208 KB Output is correct
4 Correct 32 ms 47292 KB Output is correct
5 Correct 31 ms 47316 KB Output is correct
6 Correct 31 ms 47228 KB Output is correct
7 Correct 30 ms 47316 KB Output is correct
8 Correct 30 ms 47208 KB Output is correct
9 Correct 31 ms 47296 KB Output is correct
10 Correct 31 ms 47300 KB Output is correct
11 Correct 30 ms 47300 KB Output is correct
12 Correct 31 ms 47308 KB Output is correct
13 Correct 31 ms 47324 KB Output is correct
14 Correct 31 ms 47300 KB Output is correct
15 Correct 30 ms 47224 KB Output is correct
16 Correct 31 ms 47300 KB Output is correct
17 Correct 31 ms 47308 KB Output is correct
18 Correct 31 ms 47308 KB Output is correct
19 Correct 30 ms 47204 KB Output is correct
20 Correct 31 ms 47320 KB Output is correct
21 Correct 32 ms 47292 KB Output is correct
22 Correct 31 ms 47436 KB Output is correct
23 Correct 33 ms 47320 KB Output is correct
24 Correct 36 ms 47204 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 47296 KB Output is correct
2 Correct 32 ms 47284 KB Output is correct
3 Correct 31 ms 47208 KB Output is correct
4 Correct 32 ms 47292 KB Output is correct
5 Correct 31 ms 47316 KB Output is correct
6 Correct 31 ms 47228 KB Output is correct
7 Correct 30 ms 47316 KB Output is correct
8 Correct 30 ms 47208 KB Output is correct
9 Correct 31 ms 47296 KB Output is correct
10 Correct 31 ms 47300 KB Output is correct
11 Correct 30 ms 47300 KB Output is correct
12 Correct 31 ms 47308 KB Output is correct
13 Correct 31 ms 47324 KB Output is correct
14 Correct 31 ms 47300 KB Output is correct
15 Correct 30 ms 47224 KB Output is correct
16 Correct 31 ms 47300 KB Output is correct
17 Correct 31 ms 47308 KB Output is correct
18 Correct 31 ms 47308 KB Output is correct
19 Correct 30 ms 47204 KB Output is correct
20 Correct 31 ms 47320 KB Output is correct
21 Correct 32 ms 47292 KB Output is correct
22 Correct 31 ms 47436 KB Output is correct
23 Correct 33 ms 47320 KB Output is correct
24 Correct 36 ms 47204 KB Output is correct
25 Correct 31 ms 47436 KB Output is correct
26 Correct 31 ms 47436 KB Output is correct
27 Correct 35 ms 47468 KB Output is correct
28 Correct 33 ms 47556 KB Output is correct
29 Correct 34 ms 47428 KB Output is correct
30 Correct 32 ms 47404 KB Output is correct
31 Correct 32 ms 47424 KB Output is correct
32 Correct 32 ms 47420 KB Output is correct
33 Correct 32 ms 47468 KB Output is correct
34 Correct 32 ms 47436 KB Output is correct
35 Correct 34 ms 47300 KB Output is correct
36 Correct 32 ms 47436 KB Output is correct
37 Correct 30 ms 47436 KB Output is correct
38 Correct 32 ms 47440 KB Output is correct
39 Correct 33 ms 47468 KB Output is correct
40 Correct 30 ms 47308 KB Output is correct
41 Correct 33 ms 47436 KB Output is correct
42 Correct 32 ms 47444 KB Output is correct
43 Correct 31 ms 47596 KB Output is correct
44 Correct 31 ms 47596 KB Output is correct

Subtask #3
56.0 / 56.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 47296 KB Output is correct
2 Correct 32 ms 47284 KB Output is correct
3 Correct 31 ms 47208 KB Output is correct
4 Correct 32 ms 47292 KB Output is correct
5 Correct 31 ms 47316 KB Output is correct
6 Correct 31 ms 47228 KB Output is correct
7 Correct 30 ms 47316 KB Output is correct
8 Correct 30 ms 47208 KB Output is correct
9 Correct 31 ms 47296 KB Output is correct
10 Correct 31 ms 47300 KB Output is correct
11 Correct 30 ms 47300 KB Output is correct
12 Correct 31 ms 47308 KB Output is correct
13 Correct 31 ms 47324 KB Output is correct
14 Correct 31 ms 47300 KB Output is correct
15 Correct 30 ms 47224 KB Output is correct
16 Correct 31 ms 47300 KB Output is correct
17 Correct 31 ms 47308 KB Output is correct
18 Correct 31 ms 47308 KB Output is correct
19 Correct 30 ms 47204 KB Output is correct
20 Correct 31 ms 47320 KB Output is correct
21 Correct 32 ms 47292 KB Output is correct
22 Correct 31 ms 47436 KB Output is correct
23 Correct 33 ms 47320 KB Output is correct
24 Correct 36 ms 47204 KB Output is correct
25 Correct 31 ms 47436 KB Output is correct
26 Correct 31 ms 47436 KB Output is correct
27 Correct 35 ms 47468 KB Output is correct
28 Correct 33 ms 47556 KB Output is correct
29 Correct 34 ms 47428 KB Output is correct
30 Correct 32 ms 47404 KB Output is correct
31 Correct 32 ms 47424 KB Output is correct
32 Correct 32 ms 47420 KB Output is correct
33 Correct 32 ms 47468 KB Output is correct
34 Correct 32 ms 47436 KB Output is correct
35 Correct 34 ms 47300 KB Output is correct
36 Correct 32 ms 47436 KB Output is correct
37 Correct 30 ms 47436 KB Output is correct
38 Correct 32 ms 47440 KB Output is correct
39 Correct 33 ms 47468 KB Output is correct
40 Correct 30 ms 47308 KB Output is correct
41 Correct 33 ms 47436 KB Output is correct
42 Correct 32 ms 47444 KB Output is correct
43 Correct 31 ms 47596 KB Output is correct
44 Correct 31 ms 47596 KB Output is correct
45 Correct 84 ms 54192 KB Output is correct
46 Correct 83 ms 54228 KB Output is correct
47 Correct 87 ms 53984 KB Output is correct
48 Correct 81 ms 54212 KB Output is correct
49 Correct 81 ms 54060 KB Output is correct
50 Correct 79 ms 53940 KB Output is correct
51 Correct 85 ms 54212 KB Output is correct
52 Correct 77 ms 51252 KB Output is correct
53 Correct 66 ms 51336 KB Output is correct
54 Correct 82 ms 57588 KB Output is correct
55 Correct 79 ms 57020 KB Output is correct
56 Correct 85 ms 56992 KB Output is correct
57 Correct 83 ms 55128 KB Output is correct
58 Correct 66 ms 52060 KB Output is correct
59 Correct 75 ms 52568 KB Output is correct
60 Correct 85 ms 53900 KB Output is correct
61 Correct 89 ms 54468 KB Output is correct
62 Correct 74 ms 54228 KB Output is correct
63 Correct 76 ms 54420 KB Output is correct
64 Correct 77 ms 54724 KB Output is correct
65 Correct 106 ms 57116 KB Output is correct
66 Correct 99 ms 57340 KB Output is correct
67 Correct 85 ms 58436 KB Output is correct
68 Correct 86 ms 58460 KB Output is correct
69 Correct 82 ms 58068 KB Output is correct
70 Correct 80 ms 58140 KB Output is correct
71 Correct 76 ms 56384 KB Output is correct
72 Correct 75 ms 56396 KB Output is correct
73 Correct 76 ms 56128 KB Output is correct
74 Correct 80 ms 56268 KB Output is correct
75 Correct 79 ms 61432 KB Output is correct
76 Correct 79 ms 61480 KB Output is correct
77 Correct 80 ms 61392 KB Output is correct
78 Correct 86 ms 54976 KB Output is correct
79 Correct 81 ms 54828 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 47296 KB Output is correct
2 Correct 32 ms 47284 KB Output is correct
3 Correct 31 ms 47208 KB Output is correct
4 Correct 32 ms 47292 KB Output is correct
5 Correct 31 ms 47316 KB Output is correct
6 Correct 31 ms 47228 KB Output is correct
7 Correct 30 ms 47316 KB Output is correct
8 Correct 30 ms 47208 KB Output is correct
9 Correct 31 ms 47296 KB Output is correct
10 Correct 31 ms 47300 KB Output is correct
11 Correct 30 ms 47300 KB Output is correct
12 Correct 31 ms 47308 KB Output is correct
13 Correct 31 ms 47324 KB Output is correct
14 Correct 31 ms 47300 KB Output is correct
15 Correct 30 ms 47224 KB Output is correct
16 Correct 31 ms 47300 KB Output is correct
17 Correct 31 ms 47308 KB Output is correct
18 Correct 31 ms 47308 KB Output is correct
19 Correct 30 ms 47204 KB Output is correct
20 Correct 31 ms 47320 KB Output is correct
21 Correct 32 ms 47292 KB Output is correct
22 Correct 31 ms 47436 KB Output is correct
23 Correct 33 ms 47320 KB Output is correct
24 Correct 36 ms 47204 KB Output is correct
25 Correct 31 ms 47436 KB Output is correct
26 Correct 31 ms 47436 KB Output is correct
27 Correct 35 ms 47468 KB Output is correct
28 Correct 33 ms 47556 KB Output is correct
29 Correct 34 ms 47428 KB Output is correct
30 Correct 32 ms 47404 KB Output is correct
31 Correct 32 ms 47424 KB Output is correct
32 Correct 32 ms 47420 KB Output is correct
33 Correct 32 ms 47468 KB Output is correct
34 Correct 32 ms 47436 KB Output is correct
35 Correct 34 ms 47300 KB Output is correct
36 Correct 32 ms 47436 KB Output is correct
37 Correct 30 ms 47436 KB Output is correct
38 Correct 32 ms 47440 KB Output is correct
39 Correct 33 ms 47468 KB Output is correct
40 Correct 30 ms 47308 KB Output is correct
41 Correct 33 ms 47436 KB Output is correct
42 Correct 32 ms 47444 KB Output is correct
43 Correct 31 ms 47596 KB Output is correct
44 Correct 31 ms 47596 KB Output is correct
45 Correct 84 ms 54192 KB Output is correct
46 Correct 83 ms 54228 KB Output is correct
47 Correct 87 ms 53984 KB Output is correct
48 Correct 81 ms 54212 KB Output is correct
49 Correct 81 ms 54060 KB Output is correct
50 Correct 79 ms 53940 KB Output is correct
51 Correct 85 ms 54212 KB Output is correct
52 Correct 77 ms 51252 KB Output is correct
53 Correct 66 ms 51336 KB Output is correct
54 Correct 82 ms 57588 KB Output is correct
55 Correct 79 ms 57020 KB Output is correct
56 Correct 85 ms 56992 KB Output is correct
57 Correct 83 ms 55128 KB Output is correct
58 Correct 66 ms 52060 KB Output is correct
59 Correct 75 ms 52568 KB Output is correct
60 Correct 85 ms 53900 KB Output is correct
61 Correct 89 ms 54468 KB Output is correct
62 Correct 74 ms 54228 KB Output is correct
63 Correct 76 ms 54420 KB Output is correct
64 Correct 77 ms 54724 KB Output is correct
65 Correct 106 ms 57116 KB Output is correct
66 Correct 99 ms 57340 KB Output is correct
67 Correct 85 ms 58436 KB Output is correct
68 Correct 86 ms 58460 KB Output is correct
69 Correct 82 ms 58068 KB Output is correct
70 Correct 80 ms 58140 KB Output is correct
71 Correct 76 ms 56384 KB Output is correct
72 Correct 75 ms 56396 KB Output is correct
73 Correct 76 ms 56128 KB Output is correct
74 Correct 80 ms 56268 KB Output is correct
75 Correct 79 ms 61432 KB Output is correct
76 Correct 79 ms 61480 KB Output is correct
77 Correct 80 ms 61392 KB Output is correct
78 Correct 86 ms 54976 KB Output is correct
79 Correct 81 ms 54828 KB Output is correct
80 Correct 590 ms 123856 KB Output is correct
81 Correct 577 ms 123912 KB Output is correct
82 Correct 584 ms 124012 KB Output is correct
83 Correct 576 ms 123832 KB Output is correct
84 Correct 579 ms 123844 KB Output is correct
85 Correct 560 ms 124900 KB Output is correct
86 Correct 578 ms 124724 KB Output is correct
87 Correct 423 ms 96976 KB Output is correct
88 Correct 420 ms 96968 KB Output is correct
89 Correct 563 ms 151920 KB Output is correct
90 Correct 570 ms 144108 KB Output is correct
91 Correct 545 ms 144196 KB Output is correct
92 Correct 484 ms 128276 KB Output is correct
93 Correct 435 ms 97004 KB Output is correct
94 Correct 463 ms 108612 KB Output is correct
95 Correct 542 ms 120464 KB Output is correct
96 Correct 572 ms 123076 KB Output is correct
97 Correct 549 ms 115576 KB Output is correct
98 Correct 541 ms 122836 KB Output is correct
99 Correct 595 ms 128056 KB Output is correct
100 Correct 1176 ms 148356 KB Output is correct
101 Correct 1242 ms 148268 KB Output is correct
102 Correct 549 ms 160656 KB Output is correct
103 Correct 591 ms 160776 KB Output is correct
104 Correct 569 ms 157764 KB Output is correct
105 Correct 556 ms 157716 KB Output is correct
106 Correct 507 ms 139992 KB Output is correct
107 Correct 526 ms 140224 KB Output is correct
108 Correct 496 ms 137456 KB Output is correct
109 Correct 508 ms 137384 KB Output is correct
110 Correct 590 ms 190896 KB Output is correct
111 Correct 570 ms 190904 KB Output is correct
112 Correct 557 ms 190900 KB Output is correct
113 Correct 576 ms 123720 KB Output is correct
114 Correct 591 ms 123732 KB Output is correct