#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
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<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 1000001;
int N;
pi par[MX];
vi rap[MX][2];
map<int,int> M[MX];
vpi p;
map<int,int> m;
void input() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> N; p.resize(N);
m.clear();
F0R(i,N) {
F0R(j,2) rap[i][j].clear();
M[i].clear();
}
F0R(i,N) {
cin >> p[i].f >> p[i].s;
}
sort(all(p));
F0R(i,N) {
par[i] = {i,0};
rap[i][0].pb(i);
M[i][p[i].s] = i;
}
}
void unite(int a, int b) {
// cout << "AH " << a << " " << b << "\n";
if (par[a].f == par[b].f) {
if (par[a].s == par[b].s) {
cout << 0;
exit(0);
}
return;
}
bool eq = (par[a].s == par[b].s);
a = par[a].f, b = par[b].f;
if (sz(rap[a][0])+sz(rap[a][1]) < sz(rap[b][0])+sz(rap[b][1])) swap(a,b);
F0R(j,2) for (int i: rap[b][j]) {
par[i] = {a,j^eq};
rap[a][j^eq].pb(i);
M[a][p[i].s] = i;
}
F0R(j,2) rap[b][j].clear();
M[b].clear();
}
void del(int mn) {
int x = par[m.begin()->s].f;
m.erase(m.begin());
auto IT = M[x].lb(mn);
if (IT == M[x].end()) return;
// cout << "OOPS " << x << " " << IT->f << " " << IT->s << "\n";
m[IT->f] = IT->s;
}
void check(vi v) {
sort(all(v));
/*for (int i: v) cout << i << " * ";
cout << "BAD\n";
for (int i: v) cout << p[i].f << " " << p[i].s << " | ";
cout << "\n";*/
set<int> z;
for (int i: v) {
while (sz(z) && *z.begin() < p[i].f) z.erase(z.begin());
if (sz(z) && *z.begin() < p[i].s) {
// cout << "\nAH " << i << " " << p[i].f << " " << p[i].s << " " << *z.begin() << " " << sz(z) << "\n";
cout << 0;
exit(0);
}
z.insert(p[i].s);
}
}
void solve() {
input();
F0R(i,sz(p)) {
while (sz(m) && m.begin()->f < p[i].f) del(p[i].f);
vi to;
for (auto a: m) {
if (a.f < p[i].s) to.pb(a.s);
else break;
}
// for (int j: to) cout << p[j].f << " " << p[j].s << " " << j << " " << i << "\n";
for (int j: to) {
m.erase(p[j].s);
unite(j,i);
}
to.pb(i);
m[p[to.front()].s] = to.front();
}
int ans = 1;
F0R(i,N) if (par[i].f == i) {
ans = 2*ans%MOD;
check(rap[i][0]);
check(rap[i][1]);
}
cout << ans << "\n";
}
int main() {
F0R(i,1) solve();
}
/* Look for:
* the exact constraints (multiple sets are too slow for n=10^6 :( )
* special cases (n=1?)
* overflow (ll vs int?)
* array bounds
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
92 ms |
94200 KB |
Output is correct |
2 |
Correct |
99 ms |
94460 KB |
Output is correct |
3 |
Correct |
94 ms |
94460 KB |
Output is correct |
4 |
Correct |
99 ms |
94524 KB |
Output is correct |
5 |
Correct |
96 ms |
94524 KB |
Output is correct |
6 |
Correct |
92 ms |
94524 KB |
Output is correct |
7 |
Correct |
94 ms |
94524 KB |
Output is correct |
8 |
Correct |
99 ms |
94608 KB |
Output is correct |
9 |
Correct |
104 ms |
94720 KB |
Output is correct |
10 |
Correct |
102 ms |
94720 KB |
Output is correct |
11 |
Correct |
98 ms |
94720 KB |
Output is correct |
12 |
Correct |
96 ms |
94720 KB |
Output is correct |
13 |
Correct |
99 ms |
94720 KB |
Output is correct |
14 |
Correct |
105 ms |
94720 KB |
Output is correct |
15 |
Correct |
93 ms |
94720 KB |
Output is correct |
16 |
Correct |
98 ms |
94720 KB |
Output is correct |
17 |
Correct |
100 ms |
94720 KB |
Output is correct |
18 |
Correct |
103 ms |
94720 KB |
Output is correct |
19 |
Correct |
93 ms |
94720 KB |
Output is correct |
20 |
Correct |
100 ms |
94720 KB |
Output is correct |
21 |
Correct |
97 ms |
94720 KB |
Output is correct |
22 |
Correct |
100 ms |
94720 KB |
Output is correct |
23 |
Correct |
106 ms |
94720 KB |
Output is correct |
24 |
Correct |
96 ms |
94720 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
92 ms |
94200 KB |
Output is correct |
2 |
Correct |
99 ms |
94460 KB |
Output is correct |
3 |
Correct |
94 ms |
94460 KB |
Output is correct |
4 |
Correct |
99 ms |
94524 KB |
Output is correct |
5 |
Correct |
96 ms |
94524 KB |
Output is correct |
6 |
Correct |
92 ms |
94524 KB |
Output is correct |
7 |
Correct |
94 ms |
94524 KB |
Output is correct |
8 |
Correct |
99 ms |
94608 KB |
Output is correct |
9 |
Correct |
104 ms |
94720 KB |
Output is correct |
10 |
Correct |
102 ms |
94720 KB |
Output is correct |
11 |
Correct |
98 ms |
94720 KB |
Output is correct |
12 |
Correct |
96 ms |
94720 KB |
Output is correct |
13 |
Correct |
99 ms |
94720 KB |
Output is correct |
14 |
Correct |
105 ms |
94720 KB |
Output is correct |
15 |
Correct |
93 ms |
94720 KB |
Output is correct |
16 |
Correct |
98 ms |
94720 KB |
Output is correct |
17 |
Correct |
100 ms |
94720 KB |
Output is correct |
18 |
Correct |
103 ms |
94720 KB |
Output is correct |
19 |
Correct |
93 ms |
94720 KB |
Output is correct |
20 |
Correct |
100 ms |
94720 KB |
Output is correct |
21 |
Correct |
97 ms |
94720 KB |
Output is correct |
22 |
Correct |
100 ms |
94720 KB |
Output is correct |
23 |
Correct |
106 ms |
94720 KB |
Output is correct |
24 |
Correct |
96 ms |
94720 KB |
Output is correct |
25 |
Correct |
107 ms |
94720 KB |
Output is correct |
26 |
Correct |
102 ms |
94888 KB |
Output is correct |
27 |
Correct |
105 ms |
94888 KB |
Output is correct |
28 |
Correct |
102 ms |
94888 KB |
Output is correct |
29 |
Correct |
107 ms |
94888 KB |
Output is correct |
30 |
Correct |
111 ms |
94888 KB |
Output is correct |
31 |
Correct |
107 ms |
94888 KB |
Output is correct |
32 |
Correct |
119 ms |
94888 KB |
Output is correct |
33 |
Correct |
121 ms |
94888 KB |
Output is correct |
34 |
Correct |
103 ms |
94888 KB |
Output is correct |
35 |
Correct |
101 ms |
94888 KB |
Output is correct |
36 |
Correct |
98 ms |
94888 KB |
Output is correct |
37 |
Correct |
91 ms |
94888 KB |
Output is correct |
38 |
Correct |
97 ms |
94932 KB |
Output is correct |
39 |
Correct |
111 ms |
94932 KB |
Output is correct |
40 |
Correct |
96 ms |
94932 KB |
Output is correct |
41 |
Correct |
98 ms |
94932 KB |
Output is correct |
42 |
Correct |
98 ms |
94932 KB |
Output is correct |
43 |
Correct |
98 ms |
94932 KB |
Output is correct |
44 |
Correct |
107 ms |
94932 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
92 ms |
94200 KB |
Output is correct |
2 |
Correct |
99 ms |
94460 KB |
Output is correct |
3 |
Correct |
94 ms |
94460 KB |
Output is correct |
4 |
Correct |
99 ms |
94524 KB |
Output is correct |
5 |
Correct |
96 ms |
94524 KB |
Output is correct |
6 |
Correct |
92 ms |
94524 KB |
Output is correct |
7 |
Correct |
94 ms |
94524 KB |
Output is correct |
8 |
Correct |
99 ms |
94608 KB |
Output is correct |
9 |
Correct |
104 ms |
94720 KB |
Output is correct |
10 |
Correct |
102 ms |
94720 KB |
Output is correct |
11 |
Correct |
98 ms |
94720 KB |
Output is correct |
12 |
Correct |
96 ms |
94720 KB |
Output is correct |
13 |
Correct |
99 ms |
94720 KB |
Output is correct |
14 |
Correct |
105 ms |
94720 KB |
Output is correct |
15 |
Correct |
93 ms |
94720 KB |
Output is correct |
16 |
Correct |
98 ms |
94720 KB |
Output is correct |
17 |
Correct |
100 ms |
94720 KB |
Output is correct |
18 |
Correct |
103 ms |
94720 KB |
Output is correct |
19 |
Correct |
93 ms |
94720 KB |
Output is correct |
20 |
Correct |
100 ms |
94720 KB |
Output is correct |
21 |
Correct |
97 ms |
94720 KB |
Output is correct |
22 |
Correct |
100 ms |
94720 KB |
Output is correct |
23 |
Correct |
106 ms |
94720 KB |
Output is correct |
24 |
Correct |
96 ms |
94720 KB |
Output is correct |
25 |
Correct |
107 ms |
94720 KB |
Output is correct |
26 |
Correct |
102 ms |
94888 KB |
Output is correct |
27 |
Correct |
105 ms |
94888 KB |
Output is correct |
28 |
Correct |
102 ms |
94888 KB |
Output is correct |
29 |
Correct |
107 ms |
94888 KB |
Output is correct |
30 |
Correct |
111 ms |
94888 KB |
Output is correct |
31 |
Correct |
107 ms |
94888 KB |
Output is correct |
32 |
Correct |
119 ms |
94888 KB |
Output is correct |
33 |
Correct |
121 ms |
94888 KB |
Output is correct |
34 |
Correct |
103 ms |
94888 KB |
Output is correct |
35 |
Correct |
101 ms |
94888 KB |
Output is correct |
36 |
Correct |
98 ms |
94888 KB |
Output is correct |
37 |
Correct |
91 ms |
94888 KB |
Output is correct |
38 |
Correct |
97 ms |
94932 KB |
Output is correct |
39 |
Correct |
111 ms |
94932 KB |
Output is correct |
40 |
Correct |
96 ms |
94932 KB |
Output is correct |
41 |
Correct |
98 ms |
94932 KB |
Output is correct |
42 |
Correct |
98 ms |
94932 KB |
Output is correct |
43 |
Correct |
98 ms |
94932 KB |
Output is correct |
44 |
Correct |
107 ms |
94932 KB |
Output is correct |
45 |
Correct |
297 ms |
105300 KB |
Output is correct |
46 |
Correct |
284 ms |
106904 KB |
Output is correct |
47 |
Correct |
299 ms |
107832 KB |
Output is correct |
48 |
Correct |
279 ms |
109476 KB |
Output is correct |
49 |
Correct |
340 ms |
110496 KB |
Output is correct |
50 |
Correct |
281 ms |
111768 KB |
Output is correct |
51 |
Correct |
298 ms |
113220 KB |
Output is correct |
52 |
Correct |
216 ms |
113220 KB |
Output is correct |
53 |
Correct |
264 ms |
118752 KB |
Output is correct |
54 |
Correct |
278 ms |
118752 KB |
Output is correct |
55 |
Correct |
256 ms |
118752 KB |
Output is correct |
56 |
Correct |
222 ms |
118820 KB |
Output is correct |
57 |
Correct |
258 ms |
120848 KB |
Output is correct |
58 |
Correct |
230 ms |
120848 KB |
Output is correct |
59 |
Correct |
244 ms |
123544 KB |
Output is correct |
60 |
Correct |
278 ms |
124448 KB |
Output is correct |
61 |
Correct |
291 ms |
125452 KB |
Output is correct |
62 |
Correct |
211 ms |
125996 KB |
Output is correct |
63 |
Correct |
242 ms |
127944 KB |
Output is correct |
64 |
Correct |
307 ms |
129100 KB |
Output is correct |
65 |
Correct |
351 ms |
130092 KB |
Output is correct |
66 |
Correct |
363 ms |
131496 KB |
Output is correct |
67 |
Correct |
288 ms |
134992 KB |
Output is correct |
68 |
Correct |
285 ms |
136232 KB |
Output is correct |
69 |
Correct |
299 ms |
138240 KB |
Output is correct |
70 |
Correct |
312 ms |
139380 KB |
Output is correct |
71 |
Correct |
283 ms |
139916 KB |
Output is correct |
72 |
Correct |
294 ms |
141308 KB |
Output is correct |
73 |
Correct |
278 ms |
143204 KB |
Output is correct |
74 |
Correct |
257 ms |
144404 KB |
Output is correct |
75 |
Correct |
314 ms |
144404 KB |
Output is correct |
76 |
Correct |
284 ms |
144404 KB |
Output is correct |
77 |
Correct |
267 ms |
145116 KB |
Output is correct |
78 |
Correct |
277 ms |
147404 KB |
Output is correct |
79 |
Correct |
287 ms |
148408 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
92 ms |
94200 KB |
Output is correct |
2 |
Correct |
99 ms |
94460 KB |
Output is correct |
3 |
Correct |
94 ms |
94460 KB |
Output is correct |
4 |
Correct |
99 ms |
94524 KB |
Output is correct |
5 |
Correct |
96 ms |
94524 KB |
Output is correct |
6 |
Correct |
92 ms |
94524 KB |
Output is correct |
7 |
Correct |
94 ms |
94524 KB |
Output is correct |
8 |
Correct |
99 ms |
94608 KB |
Output is correct |
9 |
Correct |
104 ms |
94720 KB |
Output is correct |
10 |
Correct |
102 ms |
94720 KB |
Output is correct |
11 |
Correct |
98 ms |
94720 KB |
Output is correct |
12 |
Correct |
96 ms |
94720 KB |
Output is correct |
13 |
Correct |
99 ms |
94720 KB |
Output is correct |
14 |
Correct |
105 ms |
94720 KB |
Output is correct |
15 |
Correct |
93 ms |
94720 KB |
Output is correct |
16 |
Correct |
98 ms |
94720 KB |
Output is correct |
17 |
Correct |
100 ms |
94720 KB |
Output is correct |
18 |
Correct |
103 ms |
94720 KB |
Output is correct |
19 |
Correct |
93 ms |
94720 KB |
Output is correct |
20 |
Correct |
100 ms |
94720 KB |
Output is correct |
21 |
Correct |
97 ms |
94720 KB |
Output is correct |
22 |
Correct |
100 ms |
94720 KB |
Output is correct |
23 |
Correct |
106 ms |
94720 KB |
Output is correct |
24 |
Correct |
96 ms |
94720 KB |
Output is correct |
25 |
Correct |
107 ms |
94720 KB |
Output is correct |
26 |
Correct |
102 ms |
94888 KB |
Output is correct |
27 |
Correct |
105 ms |
94888 KB |
Output is correct |
28 |
Correct |
102 ms |
94888 KB |
Output is correct |
29 |
Correct |
107 ms |
94888 KB |
Output is correct |
30 |
Correct |
111 ms |
94888 KB |
Output is correct |
31 |
Correct |
107 ms |
94888 KB |
Output is correct |
32 |
Correct |
119 ms |
94888 KB |
Output is correct |
33 |
Correct |
121 ms |
94888 KB |
Output is correct |
34 |
Correct |
103 ms |
94888 KB |
Output is correct |
35 |
Correct |
101 ms |
94888 KB |
Output is correct |
36 |
Correct |
98 ms |
94888 KB |
Output is correct |
37 |
Correct |
91 ms |
94888 KB |
Output is correct |
38 |
Correct |
97 ms |
94932 KB |
Output is correct |
39 |
Correct |
111 ms |
94932 KB |
Output is correct |
40 |
Correct |
96 ms |
94932 KB |
Output is correct |
41 |
Correct |
98 ms |
94932 KB |
Output is correct |
42 |
Correct |
98 ms |
94932 KB |
Output is correct |
43 |
Correct |
98 ms |
94932 KB |
Output is correct |
44 |
Correct |
107 ms |
94932 KB |
Output is correct |
45 |
Correct |
297 ms |
105300 KB |
Output is correct |
46 |
Correct |
284 ms |
106904 KB |
Output is correct |
47 |
Correct |
299 ms |
107832 KB |
Output is correct |
48 |
Correct |
279 ms |
109476 KB |
Output is correct |
49 |
Correct |
340 ms |
110496 KB |
Output is correct |
50 |
Correct |
281 ms |
111768 KB |
Output is correct |
51 |
Correct |
298 ms |
113220 KB |
Output is correct |
52 |
Correct |
216 ms |
113220 KB |
Output is correct |
53 |
Correct |
264 ms |
118752 KB |
Output is correct |
54 |
Correct |
278 ms |
118752 KB |
Output is correct |
55 |
Correct |
256 ms |
118752 KB |
Output is correct |
56 |
Correct |
222 ms |
118820 KB |
Output is correct |
57 |
Correct |
258 ms |
120848 KB |
Output is correct |
58 |
Correct |
230 ms |
120848 KB |
Output is correct |
59 |
Correct |
244 ms |
123544 KB |
Output is correct |
60 |
Correct |
278 ms |
124448 KB |
Output is correct |
61 |
Correct |
291 ms |
125452 KB |
Output is correct |
62 |
Correct |
211 ms |
125996 KB |
Output is correct |
63 |
Correct |
242 ms |
127944 KB |
Output is correct |
64 |
Correct |
307 ms |
129100 KB |
Output is correct |
65 |
Correct |
351 ms |
130092 KB |
Output is correct |
66 |
Correct |
363 ms |
131496 KB |
Output is correct |
67 |
Correct |
288 ms |
134992 KB |
Output is correct |
68 |
Correct |
285 ms |
136232 KB |
Output is correct |
69 |
Correct |
299 ms |
138240 KB |
Output is correct |
70 |
Correct |
312 ms |
139380 KB |
Output is correct |
71 |
Correct |
283 ms |
139916 KB |
Output is correct |
72 |
Correct |
294 ms |
141308 KB |
Output is correct |
73 |
Correct |
278 ms |
143204 KB |
Output is correct |
74 |
Correct |
257 ms |
144404 KB |
Output is correct |
75 |
Correct |
314 ms |
144404 KB |
Output is correct |
76 |
Correct |
284 ms |
144404 KB |
Output is correct |
77 |
Correct |
267 ms |
145116 KB |
Output is correct |
78 |
Correct |
277 ms |
147404 KB |
Output is correct |
79 |
Correct |
287 ms |
148408 KB |
Output is correct |
80 |
Correct |
2406 ms |
257612 KB |
Output is correct |
81 |
Correct |
2430 ms |
271928 KB |
Output is correct |
82 |
Correct |
2615 ms |
286432 KB |
Output is correct |
83 |
Correct |
2846 ms |
300816 KB |
Output is correct |
84 |
Correct |
2638 ms |
315840 KB |
Output is correct |
85 |
Correct |
2497 ms |
329212 KB |
Output is correct |
86 |
Correct |
2511 ms |
343956 KB |
Output is correct |
87 |
Correct |
1353 ms |
348152 KB |
Output is correct |
88 |
Correct |
3424 ms |
409696 KB |
Output is correct |
89 |
Correct |
1580 ms |
409696 KB |
Output is correct |
90 |
Correct |
1684 ms |
409696 KB |
Output is correct |
91 |
Correct |
1682 ms |
412632 KB |
Output is correct |
92 |
Correct |
1965 ms |
436836 KB |
Output is correct |
93 |
Correct |
1282 ms |
436836 KB |
Output is correct |
94 |
Correct |
1765 ms |
466572 KB |
Output is correct |
95 |
Correct |
1917 ms |
476188 KB |
Output is correct |
96 |
Correct |
2281 ms |
490076 KB |
Output is correct |
97 |
Correct |
2094 ms |
504984 KB |
Output is correct |
98 |
Correct |
2323 ms |
519128 KB |
Output is correct |
99 |
Correct |
1701 ms |
531852 KB |
Output is correct |
100 |
Correct |
3191 ms |
543740 KB |
Output is correct |
101 |
Correct |
3108 ms |
558260 KB |
Output is correct |
102 |
Correct |
3491 ms |
596120 KB |
Output is correct |
103 |
Correct |
2856 ms |
610928 KB |
Output is correct |
104 |
Correct |
3084 ms |
633748 KB |
Output is correct |
105 |
Correct |
2435 ms |
648240 KB |
Output is correct |
106 |
Correct |
2507 ms |
654628 KB |
Output is correct |
107 |
Correct |
2865 ms |
669184 KB |
Output is correct |
108 |
Correct |
2986 ms |
692240 KB |
Output is correct |
109 |
Correct |
2291 ms |
706664 KB |
Output is correct |
110 |
Correct |
2053 ms |
706664 KB |
Output is correct |
111 |
Correct |
2047 ms |
706664 KB |
Output is correct |
112 |
Correct |
2477 ms |
718656 KB |
Output is correct |
113 |
Correct |
2834 ms |
737840 KB |
Output is correct |
114 |
Correct |
2795 ms |
752648 KB |
Output is correct |