Submission #211499

# Submission time Handle Problem Language Result Execution time Memory
211499 2020-03-20T14:59:14 Z mode149256 Port Facility (JOI17_port_facility) C++14
100 / 100
2872 ms 191612 KB
/*input
1 15
2 5
3 8
4 6
14 16
7 9
10 13
11 12

3
1 4
2 5
3 6

5
1 4
2 10
6 9
7 8
3 5

*/
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;

typedef pair<int, int> pi;
typedef pair<ll, ll> pl;
typedef pair<ld, ld> pd;

typedef vector<int> vi;
typedef vector<vi> vii;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<vl> vll;
typedef vector<pi> vpi;
typedef vector<vpi> vpii;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
typedef vector<pd> vpd;
typedef vector<bool> vb;
typedef vector<vb> vbb;
typedef std::string str;
typedef std::vector<str> vs;

#define x first
#define y second
#define debug(...) cout<<"["<<#__VA_ARGS__<<": "<<__VA_ARGS__<<"]\n"

const int MOD = 1000000007;
const ll INF = std::numeric_limits<ll>::max();
const int MX = 100101;
const ld PI = 3.14159265358979323846264338327950288419716939937510582097494L;

template<typename T>
pair<T, T> operator+(const pair<T, T> &a, const pair<T, T> &b) { return pair<T, T>(a.x + b.x, a.y + b.y); }
template<typename T>
pair<T, T> operator-(const pair<T, T> &a, const pair<T, T> &b) { return pair<T, T>(a.x - b.x, a.y - b.y); }
template<typename T>
T operator*(const pair<T, T> &a, const pair<T, T> &b) { return (a.x * b.x + a.y * b.y); }
template<typename T>
T operator^(const pair<T, T> &a, const pair<T, T> &b) { return (a.x * b.y - a.y * b.x); }

template<typename T>
void print(vector<T> vec, string name = "") {
	cout << name;
	for (auto u : vec)
		cout << u << ' ';
	cout << '\n';
}

vi rankas;
vi p;
vi edges[(int)1e6];
vpi poros;
vi kas;
int N;

int findSet(int i) { return (p[i] == i) ? i : (p[i] = findSet(p[i])); }
bool isSameSet(int i, int j) { return findSet(i) == findSet(j); }
void unionSet(int i, int j) {
	edges[kas[i]].emplace_back(kas[j]);
	edges[kas[j]].emplace_back(kas[i]);

	if (isSameSet(i, j)) {
		printf("0\n");
		exit(0);
	}

	int x = findSet(i), y = findSet(j);
	if (rankas[x] > rankas[y]) p[y] = x;
	else {
		p[x] = y;
		if (rankas[x] == rankas[y]) rankas[y]++;
	}
}

vb been(1e6, false);
vi keliai[2];
vi kitas;
void dfs(int x, int h) {
	been[x] = true;
	keliai[h].emplace_back(poros[x].x);
	keliai[h].emplace_back(poros[x].y);

	h = 1 - h;
	for (auto u : edges[x])
		if (!been[u])
			dfs(u, h);
}

bool blogas() {
	for (int n = 0; n < N; ++n)
	{
		if (been[n]) continue;
		keliai[0].clear();
		keliai[1].clear();

		dfs(n, 0);
		sort(keliai[0].begin(), keliai[0].end());
		sort(keliai[1].begin(), keliai[1].end());

		// printf("n = %d\n", n);
		// print(keliai[0], "keliai[0]: ");
		// print(keliai[1], "keliai[1]: ");

		stack<int> stak;
		for (auto u : keliai[0]) {
			if (u < kitas[u]) stak.push(kitas[u]);
			else {
				if (stak.top() != u) return true;
				stak.pop();
			}
		}

		for (auto u : keliai[1]) {
			if (u < kitas[u]) stak.push(kitas[u]);
			else {
				if (stak.top() != u) return true;
				stak.pop();
			}
		}
	}

	return false;
}

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

	p = vi(2 * N + 1); for (int i = 0; i <= 2 * N; i++) p[i] = i;
	rankas = vi(2 * N + 1, 0);
	kas = vi(2 * N + 1);
	kitas = vi(2 * N + 1);
	for (int i = 0; i < N; ++i)
	{
		int a, b;
		cin >> a >> b;
		kitas[a] = b;
		kitas[b] = a;
		unionSet(a, b);
		kas[a] = kas[b] = i;
		poros.emplace_back(a, b);
	}

	ll ats = 1;

	// sort(poros.begin(), poros.end());

	set<int> visos;
	set<int> reikalingos;

	for (int i = 1; i <= 2 * N; i++) {
		if (i < kitas[i]) {
			int a = i;
			int b = kitas[i];

			if (reikalingos.empty()) {
				visos.insert(b);
				reikalingos.insert(b);
				continue;
			}

			auto it = reikalingos.begin();
			int prad = *it;

			if (b < prad) reikalingos.insert(b);
			else {
				while (it != reikalingos.end() and * it < b) {
					// printf("jungiu i = %d, it = %d\n", i, *it);
					unionSet(i, *it);

					auto prev = it;
					it = next(it);

					reikalingos.erase(prev);
				}
				reikalingos.insert(prad);
			}

			visos.insert(b);
		} else {
			visos.erase(i);
			reikalingos.erase(i);
			if (visos.size())
				reikalingos.insert(*visos.begin());
		}
	}

	if (blogas()) {
		printf("0\n");
		return 0;
	}

	vb buvo(2 * N + 1, false);
	for (int i = 1; i <= 2 * N; ++i)
	{
		if (!buvo[findSet(i)]) ats = (ats * 2) % MOD;
		buvo[findSet(i)] = true;
	}
	printf("%lld\n", ats);
}

/* Look for:
* special cases (n=1?)
* overflow (ll vs int?)
* the exact constraints (multiple sets are too slow for n=10^6 :( )
* array bounds
*/

Compilation message

port_facility.cpp: In function 'int main()':
port_facility.cpp:180:8: warning: unused variable 'a' [-Wunused-variable]
    int a = i;
        ^
# Verdict Execution time Memory Grader output
1 Correct 18 ms 23936 KB Output is correct
2 Correct 18 ms 23936 KB Output is correct
3 Correct 17 ms 23936 KB Output is correct
4 Correct 17 ms 23936 KB Output is correct
5 Correct 17 ms 23936 KB Output is correct
6 Correct 17 ms 23936 KB Output is correct
7 Correct 17 ms 23936 KB Output is correct
8 Correct 18 ms 23936 KB Output is correct
9 Correct 17 ms 23936 KB Output is correct
10 Correct 18 ms 23936 KB Output is correct
11 Correct 18 ms 23936 KB Output is correct
12 Correct 18 ms 23936 KB Output is correct
13 Correct 18 ms 23936 KB Output is correct
14 Correct 17 ms 23936 KB Output is correct
15 Correct 18 ms 23936 KB Output is correct
16 Correct 18 ms 23936 KB Output is correct
17 Correct 18 ms 23936 KB Output is correct
18 Correct 17 ms 23936 KB Output is correct
19 Correct 18 ms 23936 KB Output is correct
20 Correct 18 ms 23912 KB Output is correct
21 Correct 17 ms 23936 KB Output is correct
22 Correct 18 ms 23936 KB Output is correct
23 Correct 18 ms 23936 KB Output is correct
24 Correct 17 ms 23936 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 18 ms 23936 KB Output is correct
2 Correct 18 ms 23936 KB Output is correct
3 Correct 17 ms 23936 KB Output is correct
4 Correct 17 ms 23936 KB Output is correct
5 Correct 17 ms 23936 KB Output is correct
6 Correct 17 ms 23936 KB Output is correct
7 Correct 17 ms 23936 KB Output is correct
8 Correct 18 ms 23936 KB Output is correct
9 Correct 17 ms 23936 KB Output is correct
10 Correct 18 ms 23936 KB Output is correct
11 Correct 18 ms 23936 KB Output is correct
12 Correct 18 ms 23936 KB Output is correct
13 Correct 18 ms 23936 KB Output is correct
14 Correct 17 ms 23936 KB Output is correct
15 Correct 18 ms 23936 KB Output is correct
16 Correct 18 ms 23936 KB Output is correct
17 Correct 18 ms 23936 KB Output is correct
18 Correct 17 ms 23936 KB Output is correct
19 Correct 18 ms 23936 KB Output is correct
20 Correct 18 ms 23912 KB Output is correct
21 Correct 17 ms 23936 KB Output is correct
22 Correct 18 ms 23936 KB Output is correct
23 Correct 18 ms 23936 KB Output is correct
24 Correct 17 ms 23936 KB Output is correct
25 Correct 19 ms 24192 KB Output is correct
26 Correct 19 ms 24148 KB Output is correct
27 Correct 19 ms 24192 KB Output is correct
28 Correct 19 ms 24192 KB Output is correct
29 Correct 19 ms 24192 KB Output is correct
30 Correct 20 ms 24192 KB Output is correct
31 Correct 19 ms 24192 KB Output is correct
32 Correct 20 ms 24192 KB Output is correct
33 Correct 19 ms 24192 KB Output is correct
34 Correct 19 ms 24184 KB Output is correct
35 Correct 19 ms 24064 KB Output is correct
36 Correct 19 ms 24192 KB Output is correct
37 Correct 19 ms 24192 KB Output is correct
38 Correct 19 ms 24192 KB Output is correct
39 Correct 19 ms 24064 KB Output is correct
40 Correct 19 ms 24064 KB Output is correct
41 Correct 20 ms 24192 KB Output is correct
42 Correct 20 ms 24320 KB Output is correct
43 Correct 19 ms 24192 KB Output is correct
44 Correct 19 ms 24192 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 18 ms 23936 KB Output is correct
2 Correct 18 ms 23936 KB Output is correct
3 Correct 17 ms 23936 KB Output is correct
4 Correct 17 ms 23936 KB Output is correct
5 Correct 17 ms 23936 KB Output is correct
6 Correct 17 ms 23936 KB Output is correct
7 Correct 17 ms 23936 KB Output is correct
8 Correct 18 ms 23936 KB Output is correct
9 Correct 17 ms 23936 KB Output is correct
10 Correct 18 ms 23936 KB Output is correct
11 Correct 18 ms 23936 KB Output is correct
12 Correct 18 ms 23936 KB Output is correct
13 Correct 18 ms 23936 KB Output is correct
14 Correct 17 ms 23936 KB Output is correct
15 Correct 18 ms 23936 KB Output is correct
16 Correct 18 ms 23936 KB Output is correct
17 Correct 18 ms 23936 KB Output is correct
18 Correct 17 ms 23936 KB Output is correct
19 Correct 18 ms 23936 KB Output is correct
20 Correct 18 ms 23912 KB Output is correct
21 Correct 17 ms 23936 KB Output is correct
22 Correct 18 ms 23936 KB Output is correct
23 Correct 18 ms 23936 KB Output is correct
24 Correct 17 ms 23936 KB Output is correct
25 Correct 19 ms 24192 KB Output is correct
26 Correct 19 ms 24148 KB Output is correct
27 Correct 19 ms 24192 KB Output is correct
28 Correct 19 ms 24192 KB Output is correct
29 Correct 19 ms 24192 KB Output is correct
30 Correct 20 ms 24192 KB Output is correct
31 Correct 19 ms 24192 KB Output is correct
32 Correct 20 ms 24192 KB Output is correct
33 Correct 19 ms 24192 KB Output is correct
34 Correct 19 ms 24184 KB Output is correct
35 Correct 19 ms 24064 KB Output is correct
36 Correct 19 ms 24192 KB Output is correct
37 Correct 19 ms 24192 KB Output is correct
38 Correct 19 ms 24192 KB Output is correct
39 Correct 19 ms 24064 KB Output is correct
40 Correct 19 ms 24064 KB Output is correct
41 Correct 20 ms 24192 KB Output is correct
42 Correct 20 ms 24320 KB Output is correct
43 Correct 19 ms 24192 KB Output is correct
44 Correct 19 ms 24192 KB Output is correct
45 Correct 125 ms 34916 KB Output is correct
46 Correct 130 ms 35812 KB Output is correct
47 Correct 130 ms 34788 KB Output is correct
48 Correct 128 ms 35684 KB Output is correct
49 Correct 126 ms 34916 KB Output is correct
50 Correct 111 ms 35176 KB Output is correct
51 Correct 112 ms 35300 KB Output is correct
52 Correct 84 ms 30180 KB Output is correct
53 Correct 142 ms 39268 KB Output is correct
54 Correct 124 ms 39652 KB Output is correct
55 Correct 111 ms 37092 KB Output is correct
56 Correct 117 ms 37216 KB Output is correct
57 Correct 98 ms 33124 KB Output is correct
58 Correct 87 ms 30180 KB Output is correct
59 Correct 102 ms 33384 KB Output is correct
60 Correct 119 ms 33776 KB Output is correct
61 Correct 128 ms 33636 KB Output is correct
62 Correct 97 ms 33508 KB Output is correct
63 Correct 106 ms 33892 KB Output is correct
64 Correct 109 ms 33892 KB Output is correct
65 Correct 157 ms 37348 KB Output is correct
66 Correct 156 ms 37476 KB Output is correct
67 Correct 137 ms 38116 KB Output is correct
68 Correct 145 ms 38016 KB Output is correct
69 Correct 132 ms 38372 KB Output is correct
70 Correct 130 ms 38760 KB Output is correct
71 Correct 141 ms 40164 KB Output is correct
72 Correct 146 ms 40320 KB Output is correct
73 Correct 135 ms 40292 KB Output is correct
74 Correct 136 ms 40548 KB Output is correct
75 Correct 103 ms 37092 KB Output is correct
76 Correct 114 ms 36708 KB Output is correct
77 Correct 101 ms 38328 KB Output is correct
78 Correct 126 ms 35556 KB Output is correct
79 Correct 127 ms 35172 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 18 ms 23936 KB Output is correct
2 Correct 18 ms 23936 KB Output is correct
3 Correct 17 ms 23936 KB Output is correct
4 Correct 17 ms 23936 KB Output is correct
5 Correct 17 ms 23936 KB Output is correct
6 Correct 17 ms 23936 KB Output is correct
7 Correct 17 ms 23936 KB Output is correct
8 Correct 18 ms 23936 KB Output is correct
9 Correct 17 ms 23936 KB Output is correct
10 Correct 18 ms 23936 KB Output is correct
11 Correct 18 ms 23936 KB Output is correct
12 Correct 18 ms 23936 KB Output is correct
13 Correct 18 ms 23936 KB Output is correct
14 Correct 17 ms 23936 KB Output is correct
15 Correct 18 ms 23936 KB Output is correct
16 Correct 18 ms 23936 KB Output is correct
17 Correct 18 ms 23936 KB Output is correct
18 Correct 17 ms 23936 KB Output is correct
19 Correct 18 ms 23936 KB Output is correct
20 Correct 18 ms 23912 KB Output is correct
21 Correct 17 ms 23936 KB Output is correct
22 Correct 18 ms 23936 KB Output is correct
23 Correct 18 ms 23936 KB Output is correct
24 Correct 17 ms 23936 KB Output is correct
25 Correct 19 ms 24192 KB Output is correct
26 Correct 19 ms 24148 KB Output is correct
27 Correct 19 ms 24192 KB Output is correct
28 Correct 19 ms 24192 KB Output is correct
29 Correct 19 ms 24192 KB Output is correct
30 Correct 20 ms 24192 KB Output is correct
31 Correct 19 ms 24192 KB Output is correct
32 Correct 20 ms 24192 KB Output is correct
33 Correct 19 ms 24192 KB Output is correct
34 Correct 19 ms 24184 KB Output is correct
35 Correct 19 ms 24064 KB Output is correct
36 Correct 19 ms 24192 KB Output is correct
37 Correct 19 ms 24192 KB Output is correct
38 Correct 19 ms 24192 KB Output is correct
39 Correct 19 ms 24064 KB Output is correct
40 Correct 19 ms 24064 KB Output is correct
41 Correct 20 ms 24192 KB Output is correct
42 Correct 20 ms 24320 KB Output is correct
43 Correct 19 ms 24192 KB Output is correct
44 Correct 19 ms 24192 KB Output is correct
45 Correct 125 ms 34916 KB Output is correct
46 Correct 130 ms 35812 KB Output is correct
47 Correct 130 ms 34788 KB Output is correct
48 Correct 128 ms 35684 KB Output is correct
49 Correct 126 ms 34916 KB Output is correct
50 Correct 111 ms 35176 KB Output is correct
51 Correct 112 ms 35300 KB Output is correct
52 Correct 84 ms 30180 KB Output is correct
53 Correct 142 ms 39268 KB Output is correct
54 Correct 124 ms 39652 KB Output is correct
55 Correct 111 ms 37092 KB Output is correct
56 Correct 117 ms 37216 KB Output is correct
57 Correct 98 ms 33124 KB Output is correct
58 Correct 87 ms 30180 KB Output is correct
59 Correct 102 ms 33384 KB Output is correct
60 Correct 119 ms 33776 KB Output is correct
61 Correct 128 ms 33636 KB Output is correct
62 Correct 97 ms 33508 KB Output is correct
63 Correct 106 ms 33892 KB Output is correct
64 Correct 109 ms 33892 KB Output is correct
65 Correct 157 ms 37348 KB Output is correct
66 Correct 156 ms 37476 KB Output is correct
67 Correct 137 ms 38116 KB Output is correct
68 Correct 145 ms 38016 KB Output is correct
69 Correct 132 ms 38372 KB Output is correct
70 Correct 130 ms 38760 KB Output is correct
71 Correct 141 ms 40164 KB Output is correct
72 Correct 146 ms 40320 KB Output is correct
73 Correct 135 ms 40292 KB Output is correct
74 Correct 136 ms 40548 KB Output is correct
75 Correct 103 ms 37092 KB Output is correct
76 Correct 114 ms 36708 KB Output is correct
77 Correct 101 ms 38328 KB Output is correct
78 Correct 126 ms 35556 KB Output is correct
79 Correct 127 ms 35172 KB Output is correct
80 Correct 1696 ms 134564 KB Output is correct
81 Correct 1689 ms 133824 KB Output is correct
82 Correct 1660 ms 132932 KB Output is correct
83 Correct 1645 ms 133816 KB Output is correct
84 Correct 1686 ms 134072 KB Output is correct
85 Correct 1530 ms 133944 KB Output is correct
86 Correct 1545 ms 136924 KB Output is correct
87 Correct 1033 ms 85820 KB Output is correct
88 Correct 1963 ms 179532 KB Output is correct
89 Correct 1724 ms 180272 KB Output is correct
90 Correct 1637 ms 156132 KB Output is correct
91 Correct 1585 ms 156216 KB Output is correct
92 Correct 1333 ms 117304 KB Output is correct
93 Correct 1039 ms 86016 KB Output is correct
94 Correct 1450 ms 122072 KB Output is correct
95 Correct 1650 ms 122480 KB Output is correct
96 Correct 1643 ms 120884 KB Output is correct
97 Correct 1354 ms 122572 KB Output is correct
98 Correct 1553 ms 123384 KB Output is correct
99 Correct 1555 ms 127364 KB Output is correct
100 Correct 2820 ms 159032 KB Output is correct
101 Correct 2872 ms 159148 KB Output is correct
102 Correct 1961 ms 162644 KB Output is correct
103 Correct 1926 ms 162492 KB Output is correct
104 Correct 1925 ms 169784 KB Output is correct
105 Correct 1910 ms 169400 KB Output is correct
106 Correct 1925 ms 191216 KB Output is correct
107 Correct 1955 ms 191024 KB Output is correct
108 Correct 1885 ms 191504 KB Output is correct
109 Correct 1978 ms 191612 KB Output is correct
110 Correct 1425 ms 176396 KB Output is correct
111 Correct 1413 ms 173232 KB Output is correct
112 Correct 1383 ms 165576 KB Output is correct
113 Correct 1710 ms 132664 KB Output is correct
114 Correct 1681 ms 133816 KB Output is correct