#include <bits/stdc++.h>
using namespace std;
struct UnionFind
{
vector<int> id;
UnionFind(int N) : id(N, -1) {}
int find(int i)
{
return id[i] < 0 ? i : id[i] = find(id[i]);
}
void merge(int a, int b)
{
a = find(a), b = find(b);
if (a == b) return;
id[a] += id[b];
id[b] = a;
}
};
const int MOD = 1e9 + 7;
const int MAXN = 1e6;
vector<int> adj[MAXN];
int event[2 * MAXN];
priority_queue<int, vector<int>, greater<int>> pqCC[MAXN];
bool vu[MAXN],seen[MAXN];
int side[MAXN];
UnionFind uf(MAXN);
auto comp = [](int i, int j)
{
return pqCC[i].top() > pqCC[j].top();
};
priority_queue<int, vector<int>, decltype(comp)> ccEnVies(comp);
signed main(void)
{
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
int nbConteneurs;
cin >> nbConteneurs;
vector<pair<int, int>> conteneurs(nbConteneurs);
for (auto &[deb, fin] : conteneurs)
{
cin >> deb >> fin;
--deb, --fin;
}
sort(conteneurs.begin(), conteneurs.end());
for (int i(0); i < nbConteneurs; ++i)
event[conteneurs[i].first] = event[conteneurs[i].second] = i;
vector<int> block(2 * nbConteneurs, -1);
for (int iCont(0); iCont < nbConteneurs; ++iCont)
{
auto [deb, fin] = conteneurs[iCont];
int curCC = iCont;
pqCC[curCC].push(fin);
while (!ccEnVies.empty())
{
int iCC = ccEnVies.top(); ccEnVies.pop();
// On vire les inutiles :
if (pqCC[iCC].top() < deb)
{
while (!pqCC[iCC].empty() and pqCC[iCC].top() < deb)
pqCC[iCC].pop();
if (!pqCC[iCC].empty())
ccEnVies.push(iCC);
continue;
}
// On a plus d'aretes :
if (pqCC[iCC].top() > fin)
{
ccEnVies.push(iCC);
break;
}
block[iCont] = event[pqCC[iCC].top()];
adj[iCont].push_back(block[iCont]);
adj[block[iCont]].push_back(iCont);
// On a une arete :
// On fusionne les cc
if (uf.id[curCC] > uf.id[iCC])
swap(curCC, iCC);
uf.merge(curCC, iCC);
assert(uf.find(curCC) == curCC);
while (!pqCC[iCC].empty())
{
pqCC[curCC].push(pqCC[iCC].top());
pqCC[iCC].pop();
}
}
ccEnVies.push(curCC);
}
queue<int> q;
for (int i = 0; i < nbConteneurs; ++i)
if (uf.id[i] < 0)
q.push(i);
while (!q.empty())
{
auto cur = q.front(); q.pop();
seen[cur] = true;
for (auto nxt : adj[cur])
if (!seen[nxt])
{
side[nxt] = !side[cur];
q.push(nxt);
}
}
stack<int> stk[2];
for (int t(0); t < 2 * nbConteneurs; ++t)
{
int id = event[t];
if (vu[id])
{
if (stk[side[id]].top() != id)
{
cout << 0 << endl;
return 0;
}
stk[side[id]].pop();
}
else
{
vu[id] = true;
stk[side[id]].push(id);
}
}
int nbCC(0);
for (int i(0); i < nbConteneurs; ++i)
nbCC += uf.id[i] < 0;
int ret = 1;
for (int i(0); i < nbCC; ++i)
ret = (ret * 2) % MOD;
cout << ret << endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
36 ms |
58948 KB |
Output is correct |
2 |
Correct |
36 ms |
59012 KB |
Output is correct |
3 |
Correct |
35 ms |
58968 KB |
Output is correct |
4 |
Correct |
41 ms |
58956 KB |
Output is correct |
5 |
Correct |
36 ms |
58956 KB |
Output is correct |
6 |
Correct |
35 ms |
59036 KB |
Output is correct |
7 |
Correct |
34 ms |
59036 KB |
Output is correct |
8 |
Correct |
36 ms |
59052 KB |
Output is correct |
9 |
Correct |
35 ms |
58996 KB |
Output is correct |
10 |
Correct |
37 ms |
58936 KB |
Output is correct |
11 |
Correct |
35 ms |
59036 KB |
Output is correct |
12 |
Correct |
35 ms |
58996 KB |
Output is correct |
13 |
Correct |
36 ms |
59052 KB |
Output is correct |
14 |
Correct |
36 ms |
59032 KB |
Output is correct |
15 |
Correct |
34 ms |
58956 KB |
Output is correct |
16 |
Correct |
36 ms |
58956 KB |
Output is correct |
17 |
Correct |
36 ms |
58956 KB |
Output is correct |
18 |
Correct |
35 ms |
59040 KB |
Output is correct |
19 |
Correct |
34 ms |
58964 KB |
Output is correct |
20 |
Correct |
34 ms |
58956 KB |
Output is correct |
21 |
Correct |
35 ms |
58996 KB |
Output is correct |
22 |
Correct |
37 ms |
59012 KB |
Output is correct |
23 |
Correct |
35 ms |
58980 KB |
Output is correct |
24 |
Correct |
36 ms |
58960 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
36 ms |
58948 KB |
Output is correct |
2 |
Correct |
36 ms |
59012 KB |
Output is correct |
3 |
Correct |
35 ms |
58968 KB |
Output is correct |
4 |
Correct |
41 ms |
58956 KB |
Output is correct |
5 |
Correct |
36 ms |
58956 KB |
Output is correct |
6 |
Correct |
35 ms |
59036 KB |
Output is correct |
7 |
Correct |
34 ms |
59036 KB |
Output is correct |
8 |
Correct |
36 ms |
59052 KB |
Output is correct |
9 |
Correct |
35 ms |
58996 KB |
Output is correct |
10 |
Correct |
37 ms |
58936 KB |
Output is correct |
11 |
Correct |
35 ms |
59036 KB |
Output is correct |
12 |
Correct |
35 ms |
58996 KB |
Output is correct |
13 |
Correct |
36 ms |
59052 KB |
Output is correct |
14 |
Correct |
36 ms |
59032 KB |
Output is correct |
15 |
Correct |
34 ms |
58956 KB |
Output is correct |
16 |
Correct |
36 ms |
58956 KB |
Output is correct |
17 |
Correct |
36 ms |
58956 KB |
Output is correct |
18 |
Correct |
35 ms |
59040 KB |
Output is correct |
19 |
Correct |
34 ms |
58964 KB |
Output is correct |
20 |
Correct |
34 ms |
58956 KB |
Output is correct |
21 |
Correct |
35 ms |
58996 KB |
Output is correct |
22 |
Correct |
37 ms |
59012 KB |
Output is correct |
23 |
Correct |
35 ms |
58980 KB |
Output is correct |
24 |
Correct |
36 ms |
58960 KB |
Output is correct |
25 |
Correct |
35 ms |
59212 KB |
Output is correct |
26 |
Correct |
37 ms |
59156 KB |
Output is correct |
27 |
Correct |
36 ms |
59228 KB |
Output is correct |
28 |
Correct |
36 ms |
59248 KB |
Output is correct |
29 |
Correct |
37 ms |
59176 KB |
Output is correct |
30 |
Correct |
37 ms |
59124 KB |
Output is correct |
31 |
Correct |
38 ms |
59216 KB |
Output is correct |
32 |
Correct |
36 ms |
59212 KB |
Output is correct |
33 |
Correct |
37 ms |
59224 KB |
Output is correct |
34 |
Correct |
36 ms |
59156 KB |
Output is correct |
35 |
Correct |
35 ms |
59136 KB |
Output is correct |
36 |
Correct |
39 ms |
59092 KB |
Output is correct |
37 |
Correct |
36 ms |
59160 KB |
Output is correct |
38 |
Correct |
36 ms |
59212 KB |
Output is correct |
39 |
Correct |
37 ms |
59232 KB |
Output is correct |
40 |
Correct |
35 ms |
59076 KB |
Output is correct |
41 |
Correct |
36 ms |
59244 KB |
Output is correct |
42 |
Correct |
37 ms |
59252 KB |
Output is correct |
43 |
Correct |
41 ms |
59192 KB |
Output is correct |
44 |
Correct |
37 ms |
59188 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
36 ms |
58948 KB |
Output is correct |
2 |
Correct |
36 ms |
59012 KB |
Output is correct |
3 |
Correct |
35 ms |
58968 KB |
Output is correct |
4 |
Correct |
41 ms |
58956 KB |
Output is correct |
5 |
Correct |
36 ms |
58956 KB |
Output is correct |
6 |
Correct |
35 ms |
59036 KB |
Output is correct |
7 |
Correct |
34 ms |
59036 KB |
Output is correct |
8 |
Correct |
36 ms |
59052 KB |
Output is correct |
9 |
Correct |
35 ms |
58996 KB |
Output is correct |
10 |
Correct |
37 ms |
58936 KB |
Output is correct |
11 |
Correct |
35 ms |
59036 KB |
Output is correct |
12 |
Correct |
35 ms |
58996 KB |
Output is correct |
13 |
Correct |
36 ms |
59052 KB |
Output is correct |
14 |
Correct |
36 ms |
59032 KB |
Output is correct |
15 |
Correct |
34 ms |
58956 KB |
Output is correct |
16 |
Correct |
36 ms |
58956 KB |
Output is correct |
17 |
Correct |
36 ms |
58956 KB |
Output is correct |
18 |
Correct |
35 ms |
59040 KB |
Output is correct |
19 |
Correct |
34 ms |
58964 KB |
Output is correct |
20 |
Correct |
34 ms |
58956 KB |
Output is correct |
21 |
Correct |
35 ms |
58996 KB |
Output is correct |
22 |
Correct |
37 ms |
59012 KB |
Output is correct |
23 |
Correct |
35 ms |
58980 KB |
Output is correct |
24 |
Correct |
36 ms |
58960 KB |
Output is correct |
25 |
Correct |
35 ms |
59212 KB |
Output is correct |
26 |
Correct |
37 ms |
59156 KB |
Output is correct |
27 |
Correct |
36 ms |
59228 KB |
Output is correct |
28 |
Correct |
36 ms |
59248 KB |
Output is correct |
29 |
Correct |
37 ms |
59176 KB |
Output is correct |
30 |
Correct |
37 ms |
59124 KB |
Output is correct |
31 |
Correct |
38 ms |
59216 KB |
Output is correct |
32 |
Correct |
36 ms |
59212 KB |
Output is correct |
33 |
Correct |
37 ms |
59224 KB |
Output is correct |
34 |
Correct |
36 ms |
59156 KB |
Output is correct |
35 |
Correct |
35 ms |
59136 KB |
Output is correct |
36 |
Correct |
39 ms |
59092 KB |
Output is correct |
37 |
Correct |
36 ms |
59160 KB |
Output is correct |
38 |
Correct |
36 ms |
59212 KB |
Output is correct |
39 |
Correct |
37 ms |
59232 KB |
Output is correct |
40 |
Correct |
35 ms |
59076 KB |
Output is correct |
41 |
Correct |
36 ms |
59244 KB |
Output is correct |
42 |
Correct |
37 ms |
59252 KB |
Output is correct |
43 |
Correct |
41 ms |
59192 KB |
Output is correct |
44 |
Correct |
37 ms |
59188 KB |
Output is correct |
45 |
Correct |
119 ms |
68176 KB |
Output is correct |
46 |
Correct |
112 ms |
68144 KB |
Output is correct |
47 |
Correct |
123 ms |
68164 KB |
Output is correct |
48 |
Correct |
115 ms |
68168 KB |
Output is correct |
49 |
Correct |
118 ms |
68220 KB |
Output is correct |
50 |
Correct |
114 ms |
68164 KB |
Output is correct |
51 |
Correct |
118 ms |
68156 KB |
Output is correct |
52 |
Correct |
75 ms |
65128 KB |
Output is correct |
53 |
Correct |
98 ms |
65508 KB |
Output is correct |
54 |
Correct |
83 ms |
69428 KB |
Output is correct |
55 |
Correct |
86 ms |
69408 KB |
Output is correct |
56 |
Correct |
91 ms |
69304 KB |
Output is correct |
57 |
Correct |
84 ms |
68472 KB |
Output is correct |
58 |
Correct |
77 ms |
65088 KB |
Output is correct |
59 |
Correct |
111 ms |
66120 KB |
Output is correct |
60 |
Correct |
128 ms |
67392 KB |
Output is correct |
61 |
Correct |
127 ms |
67884 KB |
Output is correct |
62 |
Correct |
106 ms |
66788 KB |
Output is correct |
63 |
Correct |
112 ms |
67504 KB |
Output is correct |
64 |
Correct |
125 ms |
67964 KB |
Output is correct |
65 |
Correct |
104 ms |
68852 KB |
Output is correct |
66 |
Correct |
105 ms |
68864 KB |
Output is correct |
67 |
Correct |
109 ms |
69224 KB |
Output is correct |
68 |
Correct |
108 ms |
69056 KB |
Output is correct |
69 |
Correct |
102 ms |
69160 KB |
Output is correct |
70 |
Correct |
101 ms |
69168 KB |
Output is correct |
71 |
Correct |
107 ms |
69672 KB |
Output is correct |
72 |
Correct |
113 ms |
69672 KB |
Output is correct |
73 |
Correct |
114 ms |
69512 KB |
Output is correct |
74 |
Correct |
93 ms |
69576 KB |
Output is correct |
75 |
Correct |
90 ms |
68252 KB |
Output is correct |
76 |
Correct |
89 ms |
68148 KB |
Output is correct |
77 |
Correct |
95 ms |
68168 KB |
Output is correct |
78 |
Correct |
114 ms |
68140 KB |
Output is correct |
79 |
Correct |
120 ms |
68128 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
36 ms |
58948 KB |
Output is correct |
2 |
Correct |
36 ms |
59012 KB |
Output is correct |
3 |
Correct |
35 ms |
58968 KB |
Output is correct |
4 |
Correct |
41 ms |
58956 KB |
Output is correct |
5 |
Correct |
36 ms |
58956 KB |
Output is correct |
6 |
Correct |
35 ms |
59036 KB |
Output is correct |
7 |
Correct |
34 ms |
59036 KB |
Output is correct |
8 |
Correct |
36 ms |
59052 KB |
Output is correct |
9 |
Correct |
35 ms |
58996 KB |
Output is correct |
10 |
Correct |
37 ms |
58936 KB |
Output is correct |
11 |
Correct |
35 ms |
59036 KB |
Output is correct |
12 |
Correct |
35 ms |
58996 KB |
Output is correct |
13 |
Correct |
36 ms |
59052 KB |
Output is correct |
14 |
Correct |
36 ms |
59032 KB |
Output is correct |
15 |
Correct |
34 ms |
58956 KB |
Output is correct |
16 |
Correct |
36 ms |
58956 KB |
Output is correct |
17 |
Correct |
36 ms |
58956 KB |
Output is correct |
18 |
Correct |
35 ms |
59040 KB |
Output is correct |
19 |
Correct |
34 ms |
58964 KB |
Output is correct |
20 |
Correct |
34 ms |
58956 KB |
Output is correct |
21 |
Correct |
35 ms |
58996 KB |
Output is correct |
22 |
Correct |
37 ms |
59012 KB |
Output is correct |
23 |
Correct |
35 ms |
58980 KB |
Output is correct |
24 |
Correct |
36 ms |
58960 KB |
Output is correct |
25 |
Correct |
35 ms |
59212 KB |
Output is correct |
26 |
Correct |
37 ms |
59156 KB |
Output is correct |
27 |
Correct |
36 ms |
59228 KB |
Output is correct |
28 |
Correct |
36 ms |
59248 KB |
Output is correct |
29 |
Correct |
37 ms |
59176 KB |
Output is correct |
30 |
Correct |
37 ms |
59124 KB |
Output is correct |
31 |
Correct |
38 ms |
59216 KB |
Output is correct |
32 |
Correct |
36 ms |
59212 KB |
Output is correct |
33 |
Correct |
37 ms |
59224 KB |
Output is correct |
34 |
Correct |
36 ms |
59156 KB |
Output is correct |
35 |
Correct |
35 ms |
59136 KB |
Output is correct |
36 |
Correct |
39 ms |
59092 KB |
Output is correct |
37 |
Correct |
36 ms |
59160 KB |
Output is correct |
38 |
Correct |
36 ms |
59212 KB |
Output is correct |
39 |
Correct |
37 ms |
59232 KB |
Output is correct |
40 |
Correct |
35 ms |
59076 KB |
Output is correct |
41 |
Correct |
36 ms |
59244 KB |
Output is correct |
42 |
Correct |
37 ms |
59252 KB |
Output is correct |
43 |
Correct |
41 ms |
59192 KB |
Output is correct |
44 |
Correct |
37 ms |
59188 KB |
Output is correct |
45 |
Correct |
119 ms |
68176 KB |
Output is correct |
46 |
Correct |
112 ms |
68144 KB |
Output is correct |
47 |
Correct |
123 ms |
68164 KB |
Output is correct |
48 |
Correct |
115 ms |
68168 KB |
Output is correct |
49 |
Correct |
118 ms |
68220 KB |
Output is correct |
50 |
Correct |
114 ms |
68164 KB |
Output is correct |
51 |
Correct |
118 ms |
68156 KB |
Output is correct |
52 |
Correct |
75 ms |
65128 KB |
Output is correct |
53 |
Correct |
98 ms |
65508 KB |
Output is correct |
54 |
Correct |
83 ms |
69428 KB |
Output is correct |
55 |
Correct |
86 ms |
69408 KB |
Output is correct |
56 |
Correct |
91 ms |
69304 KB |
Output is correct |
57 |
Correct |
84 ms |
68472 KB |
Output is correct |
58 |
Correct |
77 ms |
65088 KB |
Output is correct |
59 |
Correct |
111 ms |
66120 KB |
Output is correct |
60 |
Correct |
128 ms |
67392 KB |
Output is correct |
61 |
Correct |
127 ms |
67884 KB |
Output is correct |
62 |
Correct |
106 ms |
66788 KB |
Output is correct |
63 |
Correct |
112 ms |
67504 KB |
Output is correct |
64 |
Correct |
125 ms |
67964 KB |
Output is correct |
65 |
Correct |
104 ms |
68852 KB |
Output is correct |
66 |
Correct |
105 ms |
68864 KB |
Output is correct |
67 |
Correct |
109 ms |
69224 KB |
Output is correct |
68 |
Correct |
108 ms |
69056 KB |
Output is correct |
69 |
Correct |
102 ms |
69160 KB |
Output is correct |
70 |
Correct |
101 ms |
69168 KB |
Output is correct |
71 |
Correct |
107 ms |
69672 KB |
Output is correct |
72 |
Correct |
113 ms |
69672 KB |
Output is correct |
73 |
Correct |
114 ms |
69512 KB |
Output is correct |
74 |
Correct |
93 ms |
69576 KB |
Output is correct |
75 |
Correct |
90 ms |
68252 KB |
Output is correct |
76 |
Correct |
89 ms |
68148 KB |
Output is correct |
77 |
Correct |
95 ms |
68168 KB |
Output is correct |
78 |
Correct |
114 ms |
68140 KB |
Output is correct |
79 |
Correct |
120 ms |
68128 KB |
Output is correct |
80 |
Correct |
993 ms |
150328 KB |
Output is correct |
81 |
Correct |
1088 ms |
150580 KB |
Output is correct |
82 |
Correct |
1036 ms |
150844 KB |
Output is correct |
83 |
Correct |
1000 ms |
150612 KB |
Output is correct |
84 |
Correct |
935 ms |
150376 KB |
Output is correct |
85 |
Correct |
1062 ms |
150468 KB |
Output is correct |
86 |
Correct |
1026 ms |
150076 KB |
Output is correct |
87 |
Correct |
467 ms |
119876 KB |
Output is correct |
88 |
Correct |
735 ms |
123932 KB |
Output is correct |
89 |
Correct |
550 ms |
162996 KB |
Output is correct |
90 |
Correct |
580 ms |
162464 KB |
Output is correct |
91 |
Correct |
593 ms |
162448 KB |
Output is correct |
92 |
Correct |
563 ms |
153144 KB |
Output is correct |
93 |
Correct |
464 ms |
119796 KB |
Output is correct |
94 |
Correct |
1010 ms |
135556 KB |
Output is correct |
95 |
Correct |
1100 ms |
146824 KB |
Output is correct |
96 |
Correct |
1062 ms |
149956 KB |
Output is correct |
97 |
Correct |
992 ms |
138620 KB |
Output is correct |
98 |
Correct |
1089 ms |
146916 KB |
Output is correct |
99 |
Correct |
1002 ms |
149400 KB |
Output is correct |
100 |
Correct |
956 ms |
157096 KB |
Output is correct |
101 |
Correct |
903 ms |
157080 KB |
Output is correct |
102 |
Correct |
856 ms |
159684 KB |
Output is correct |
103 |
Correct |
857 ms |
159600 KB |
Output is correct |
104 |
Correct |
795 ms |
160560 KB |
Output is correct |
105 |
Correct |
781 ms |
160580 KB |
Output is correct |
106 |
Correct |
816 ms |
165104 KB |
Output is correct |
107 |
Correct |
798 ms |
165008 KB |
Output is correct |
108 |
Correct |
718 ms |
164332 KB |
Output is correct |
109 |
Correct |
699 ms |
164272 KB |
Output is correct |
110 |
Correct |
591 ms |
150928 KB |
Output is correct |
111 |
Correct |
592 ms |
150968 KB |
Output is correct |
112 |
Correct |
606 ms |
150904 KB |
Output is correct |
113 |
Correct |
1099 ms |
150732 KB |
Output is correct |
114 |
Correct |
1006 ms |
150432 KB |
Output is correct |