#include<bits/stdc++.h>
#include<fstream>
using namespace std;
#define sz(a) (int)a.size()
#define ALL(v) v.begin(), v.end()
#define ALLR(v) v.rbegin(), v.rend()
#define ll long long
#define pb push_back
#define forr(i, a, b) for(int i = a; i < b; i++)
#define dorr(i, a, b) for(int i = a; i >= b; i--)
#define ld long double
#define vt vector
#include<fstream>
#define fi first
#define se second
#define pll pair<ll, ll>
#define pii pair<int, int>
#define mpp make_pair
const ld PI = 3.14159265359, prec = 1e-9;;
//using u128 = __uint128_t;
//const int x[4] = {1, 0, -1, 0};
//const int y[4] = {0, -1, 0, 1};
const ll mod = 1e9 + 7, pr = 31;
const int mxn = 1e6 + 5, mxq = 1e5 + 5, sq = 500, mxv = 5e4 + 1;
//const int base = (1 <<18);
const ll inf = 1e9 + 5, neg = -69420, inf2 = 1e14;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
// have fun!
//JOIIIIIIIIIIIIIII
int n;
pii p[mxn + 1];
int c[mxn + 1];
int st[8 * mxn + 1], st2[8 * mxn + 1];
void upd(int nd, int l, int r, int id, int v){
if(l == r){
st[nd] = v; return;
}
int mid = (l + r) >> 1;
if(id <= mid)upd(nd << 1, l, mid, id, v);
else upd(nd << 1 | 1, mid + 1, r, id, v);
int cand1 = st[nd << 1], cand2 = st[nd << 1 | 1];
st[nd] = ((p[cand1].se > p[cand2].se) ? cand1: cand2);
}
void upd2(int nd, int l, int r, int id, int v){
if(l == r){
st2[nd] = v; return;
}
int mid = (l + r) >> 1;
if(id <= mid)upd2(nd << 1, l, mid, id, v);
else upd2(nd << 1 | 1, mid + 1, r, id, v);
int cand1 = st2[nd << 1], cand2 = st2[nd << 1 | 1];
st2[nd] = ((p[cand1].fi < p[cand2].fi) ? cand1: cand2);
}
int get(int nd, int l, int r, int ql, int qr){
if(ql > r || qr < l)return(0);
if(ql <= l && qr >= r)return(st[nd]);
int mid = (l + r) >> 1;
int cand1 = get(nd << 1, l, mid, ql, qr), cand2 = get(nd << 1 | 1, mid + 1, r, ql, qr);
return((p[cand1].se > p[cand2].se) ? cand1 : cand2);
}
int get2(int nd, int l, int r, int ql, int qr){
if(ql > r || qr < l)return(0);
if(ql <= l && qr >= r)return(st2[nd]);
int mid = (l + r) >> 1;
int cand1 = get2(nd << 1, l, mid, ql, qr), cand2 = get2(nd << 1 | 1, mid + 1, r, ql, qr);
return((p[cand1].fi < p[cand2].fi) ? cand1 : cand2);
}
void dfs(int s){
upd(1, 1, 2 * n, p[s].fi, 0); upd2(1, 1, 2 * n, p[s].se, 0);
while(1){
int v = get(1, 1, 2 * n, p[s].fi, p[s].se);
if(p[v].se > p[s].se){
c[v] = c[s] ^ 1;
dfs(v);
}else{
break;
}
}
while(1){
int v = get2(1, 1, 2 * n, p[s].fi, p[s].se);
if(p[v].fi < p[s].fi){
c[v] = c[s] ^ 1; dfs(v);
}else{
break;
}
}
}
void solve(){
cin >> n;
p[0].fi = inf; p[0].se = 0;
for(int i = 1; i <= n; i++)cin >> p[i].fi >> p[i].se;
sort(p + 1, p + n + 1);
for(int i = 1; i <= n; i++){
upd(1, 1, 2 * n, p[i].fi, i); upd2(1, 1, 2 * n, p[i].se, i);
}
int cnt = 0;
for(int i = 1; i <= n; i++)c[i] = -1;
for(int i = 1; i <= n; i++){
if(c[i] == -1){
c[i] = 0; dfs(i); ++cnt;
}
}
set<int>s1, s2;
for(int i = 1; i <= n; i++){
if(c[i] == 0){
auto it = s1.lower_bound(p[i].fi);
if(it == s1.end() || (*it) > p[i].se){
s1.insert(p[i].se);
}else{
cout << 0; return;
}
}else{
auto it = s2.lower_bound(p[i].fi);
if(it == s2.end() || (*it) > p[i].se){
s2.insert(p[i].se);
}else{
cout << 0; return;
}
}
}
int ans = 1;
for(int i = 0; i < cnt; i++)ans = (ans * 2) % mod;
cout << ans;
}
signed main(){
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
//freopen("DATA.inp", "r", stdin);
//freopen("DATA.out", "w", stdout);
int tt; tt = 1;
while(tt--){
solve();
}
return(0);
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
6488 KB |
Output is correct |
2 |
Correct |
1 ms |
6492 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
6488 KB |
Output is correct |
5 |
Correct |
1 ms |
6492 KB |
Output is correct |
6 |
Correct |
1 ms |
6504 KB |
Output is correct |
7 |
Correct |
1 ms |
6492 KB |
Output is correct |
8 |
Correct |
1 ms |
6488 KB |
Output is correct |
9 |
Correct |
1 ms |
6492 KB |
Output is correct |
10 |
Correct |
1 ms |
6492 KB |
Output is correct |
11 |
Correct |
1 ms |
6492 KB |
Output is correct |
12 |
Correct |
1 ms |
6492 KB |
Output is correct |
13 |
Correct |
1 ms |
6492 KB |
Output is correct |
14 |
Correct |
1 ms |
6492 KB |
Output is correct |
15 |
Correct |
1 ms |
6492 KB |
Output is correct |
16 |
Correct |
1 ms |
6492 KB |
Output is correct |
17 |
Correct |
1 ms |
6608 KB |
Output is correct |
18 |
Correct |
1 ms |
6492 KB |
Output is correct |
19 |
Correct |
1 ms |
6612 KB |
Output is correct |
20 |
Correct |
1 ms |
6492 KB |
Output is correct |
21 |
Correct |
2 ms |
6492 KB |
Output is correct |
22 |
Correct |
1 ms |
6608 KB |
Output is correct |
23 |
Correct |
1 ms |
6492 KB |
Output is correct |
24 |
Correct |
1 ms |
6492 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
6488 KB |
Output is correct |
2 |
Correct |
1 ms |
6492 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
6488 KB |
Output is correct |
5 |
Correct |
1 ms |
6492 KB |
Output is correct |
6 |
Correct |
1 ms |
6504 KB |
Output is correct |
7 |
Correct |
1 ms |
6492 KB |
Output is correct |
8 |
Correct |
1 ms |
6488 KB |
Output is correct |
9 |
Correct |
1 ms |
6492 KB |
Output is correct |
10 |
Correct |
1 ms |
6492 KB |
Output is correct |
11 |
Correct |
1 ms |
6492 KB |
Output is correct |
12 |
Correct |
1 ms |
6492 KB |
Output is correct |
13 |
Correct |
1 ms |
6492 KB |
Output is correct |
14 |
Correct |
1 ms |
6492 KB |
Output is correct |
15 |
Correct |
1 ms |
6492 KB |
Output is correct |
16 |
Correct |
1 ms |
6492 KB |
Output is correct |
17 |
Correct |
1 ms |
6608 KB |
Output is correct |
18 |
Correct |
1 ms |
6492 KB |
Output is correct |
19 |
Correct |
1 ms |
6612 KB |
Output is correct |
20 |
Correct |
1 ms |
6492 KB |
Output is correct |
21 |
Correct |
2 ms |
6492 KB |
Output is correct |
22 |
Correct |
1 ms |
6608 KB |
Output is correct |
23 |
Correct |
1 ms |
6492 KB |
Output is correct |
24 |
Correct |
1 ms |
6492 KB |
Output is correct |
25 |
Correct |
5 ms |
6744 KB |
Output is correct |
26 |
Correct |
3 ms |
6748 KB |
Output is correct |
27 |
Correct |
3 ms |
6724 KB |
Output is correct |
28 |
Correct |
4 ms |
6744 KB |
Output is correct |
29 |
Correct |
4 ms |
6744 KB |
Output is correct |
30 |
Correct |
4 ms |
6748 KB |
Output is correct |
31 |
Correct |
4 ms |
6620 KB |
Output is correct |
32 |
Correct |
4 ms |
6748 KB |
Output is correct |
33 |
Correct |
3 ms |
6744 KB |
Output is correct |
34 |
Correct |
3 ms |
6488 KB |
Output is correct |
35 |
Correct |
3 ms |
6748 KB |
Output is correct |
36 |
Correct |
3 ms |
6744 KB |
Output is correct |
37 |
Correct |
4 ms |
6492 KB |
Output is correct |
38 |
Correct |
4 ms |
6492 KB |
Output is correct |
39 |
Correct |
3 ms |
6748 KB |
Output is correct |
40 |
Correct |
3 ms |
6748 KB |
Output is correct |
41 |
Correct |
4 ms |
6748 KB |
Output is correct |
42 |
Correct |
3 ms |
6748 KB |
Output is correct |
43 |
Correct |
3 ms |
6492 KB |
Output is correct |
44 |
Correct |
3 ms |
6792 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
6488 KB |
Output is correct |
2 |
Correct |
1 ms |
6492 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
6488 KB |
Output is correct |
5 |
Correct |
1 ms |
6492 KB |
Output is correct |
6 |
Correct |
1 ms |
6504 KB |
Output is correct |
7 |
Correct |
1 ms |
6492 KB |
Output is correct |
8 |
Correct |
1 ms |
6488 KB |
Output is correct |
9 |
Correct |
1 ms |
6492 KB |
Output is correct |
10 |
Correct |
1 ms |
6492 KB |
Output is correct |
11 |
Correct |
1 ms |
6492 KB |
Output is correct |
12 |
Correct |
1 ms |
6492 KB |
Output is correct |
13 |
Correct |
1 ms |
6492 KB |
Output is correct |
14 |
Correct |
1 ms |
6492 KB |
Output is correct |
15 |
Correct |
1 ms |
6492 KB |
Output is correct |
16 |
Correct |
1 ms |
6492 KB |
Output is correct |
17 |
Correct |
1 ms |
6608 KB |
Output is correct |
18 |
Correct |
1 ms |
6492 KB |
Output is correct |
19 |
Correct |
1 ms |
6612 KB |
Output is correct |
20 |
Correct |
1 ms |
6492 KB |
Output is correct |
21 |
Correct |
2 ms |
6492 KB |
Output is correct |
22 |
Correct |
1 ms |
6608 KB |
Output is correct |
23 |
Correct |
1 ms |
6492 KB |
Output is correct |
24 |
Correct |
1 ms |
6492 KB |
Output is correct |
25 |
Correct |
5 ms |
6744 KB |
Output is correct |
26 |
Correct |
3 ms |
6748 KB |
Output is correct |
27 |
Correct |
3 ms |
6724 KB |
Output is correct |
28 |
Correct |
4 ms |
6744 KB |
Output is correct |
29 |
Correct |
4 ms |
6744 KB |
Output is correct |
30 |
Correct |
4 ms |
6748 KB |
Output is correct |
31 |
Correct |
4 ms |
6620 KB |
Output is correct |
32 |
Correct |
4 ms |
6748 KB |
Output is correct |
33 |
Correct |
3 ms |
6744 KB |
Output is correct |
34 |
Correct |
3 ms |
6488 KB |
Output is correct |
35 |
Correct |
3 ms |
6748 KB |
Output is correct |
36 |
Correct |
3 ms |
6744 KB |
Output is correct |
37 |
Correct |
4 ms |
6492 KB |
Output is correct |
38 |
Correct |
4 ms |
6492 KB |
Output is correct |
39 |
Correct |
3 ms |
6748 KB |
Output is correct |
40 |
Correct |
3 ms |
6748 KB |
Output is correct |
41 |
Correct |
4 ms |
6748 KB |
Output is correct |
42 |
Correct |
3 ms |
6748 KB |
Output is correct |
43 |
Correct |
3 ms |
6492 KB |
Output is correct |
44 |
Correct |
3 ms |
6792 KB |
Output is correct |
45 |
Correct |
160 ms |
17112 KB |
Output is correct |
46 |
Correct |
169 ms |
17612 KB |
Output is correct |
47 |
Correct |
175 ms |
16984 KB |
Output is correct |
48 |
Correct |
160 ms |
17508 KB |
Output is correct |
49 |
Correct |
177 ms |
16964 KB |
Output is correct |
50 |
Correct |
150 ms |
13884 KB |
Output is correct |
51 |
Correct |
148 ms |
14776 KB |
Output is correct |
52 |
Correct |
143 ms |
16752 KB |
Output is correct |
53 |
Correct |
164 ms |
14676 KB |
Output is correct |
54 |
Correct |
154 ms |
13136 KB |
Output is correct |
55 |
Correct |
152 ms |
13644 KB |
Output is correct |
56 |
Correct |
156 ms |
13644 KB |
Output is correct |
57 |
Correct |
133 ms |
16724 KB |
Output is correct |
58 |
Correct |
129 ms |
16744 KB |
Output is correct |
59 |
Correct |
138 ms |
16784 KB |
Output is correct |
60 |
Correct |
147 ms |
16768 KB |
Output is correct |
61 |
Correct |
152 ms |
16728 KB |
Output is correct |
62 |
Correct |
132 ms |
12140 KB |
Output is correct |
63 |
Correct |
127 ms |
12064 KB |
Output is correct |
64 |
Correct |
157 ms |
12136 KB |
Output is correct |
65 |
Correct |
191 ms |
15160 KB |
Output is correct |
66 |
Correct |
187 ms |
15216 KB |
Output is correct |
67 |
Correct |
200 ms |
18168 KB |
Output is correct |
68 |
Correct |
181 ms |
18264 KB |
Output is correct |
69 |
Correct |
177 ms |
17968 KB |
Output is correct |
70 |
Correct |
171 ms |
18004 KB |
Output is correct |
71 |
Correct |
180 ms |
17600 KB |
Output is correct |
72 |
Correct |
172 ms |
17684 KB |
Output is correct |
73 |
Correct |
175 ms |
16700 KB |
Output is correct |
74 |
Correct |
184 ms |
16720 KB |
Output is correct |
75 |
Correct |
162 ms |
19772 KB |
Output is correct |
76 |
Correct |
143 ms |
19752 KB |
Output is correct |
77 |
Correct |
124 ms |
15492 KB |
Output is correct |
78 |
Correct |
177 ms |
17712 KB |
Output is correct |
79 |
Correct |
165 ms |
17252 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
6488 KB |
Output is correct |
2 |
Correct |
1 ms |
6492 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
6488 KB |
Output is correct |
5 |
Correct |
1 ms |
6492 KB |
Output is correct |
6 |
Correct |
1 ms |
6504 KB |
Output is correct |
7 |
Correct |
1 ms |
6492 KB |
Output is correct |
8 |
Correct |
1 ms |
6488 KB |
Output is correct |
9 |
Correct |
1 ms |
6492 KB |
Output is correct |
10 |
Correct |
1 ms |
6492 KB |
Output is correct |
11 |
Correct |
1 ms |
6492 KB |
Output is correct |
12 |
Correct |
1 ms |
6492 KB |
Output is correct |
13 |
Correct |
1 ms |
6492 KB |
Output is correct |
14 |
Correct |
1 ms |
6492 KB |
Output is correct |
15 |
Correct |
1 ms |
6492 KB |
Output is correct |
16 |
Correct |
1 ms |
6492 KB |
Output is correct |
17 |
Correct |
1 ms |
6608 KB |
Output is correct |
18 |
Correct |
1 ms |
6492 KB |
Output is correct |
19 |
Correct |
1 ms |
6612 KB |
Output is correct |
20 |
Correct |
1 ms |
6492 KB |
Output is correct |
21 |
Correct |
2 ms |
6492 KB |
Output is correct |
22 |
Correct |
1 ms |
6608 KB |
Output is correct |
23 |
Correct |
1 ms |
6492 KB |
Output is correct |
24 |
Correct |
1 ms |
6492 KB |
Output is correct |
25 |
Correct |
5 ms |
6744 KB |
Output is correct |
26 |
Correct |
3 ms |
6748 KB |
Output is correct |
27 |
Correct |
3 ms |
6724 KB |
Output is correct |
28 |
Correct |
4 ms |
6744 KB |
Output is correct |
29 |
Correct |
4 ms |
6744 KB |
Output is correct |
30 |
Correct |
4 ms |
6748 KB |
Output is correct |
31 |
Correct |
4 ms |
6620 KB |
Output is correct |
32 |
Correct |
4 ms |
6748 KB |
Output is correct |
33 |
Correct |
3 ms |
6744 KB |
Output is correct |
34 |
Correct |
3 ms |
6488 KB |
Output is correct |
35 |
Correct |
3 ms |
6748 KB |
Output is correct |
36 |
Correct |
3 ms |
6744 KB |
Output is correct |
37 |
Correct |
4 ms |
6492 KB |
Output is correct |
38 |
Correct |
4 ms |
6492 KB |
Output is correct |
39 |
Correct |
3 ms |
6748 KB |
Output is correct |
40 |
Correct |
3 ms |
6748 KB |
Output is correct |
41 |
Correct |
4 ms |
6748 KB |
Output is correct |
42 |
Correct |
3 ms |
6748 KB |
Output is correct |
43 |
Correct |
3 ms |
6492 KB |
Output is correct |
44 |
Correct |
3 ms |
6792 KB |
Output is correct |
45 |
Correct |
160 ms |
17112 KB |
Output is correct |
46 |
Correct |
169 ms |
17612 KB |
Output is correct |
47 |
Correct |
175 ms |
16984 KB |
Output is correct |
48 |
Correct |
160 ms |
17508 KB |
Output is correct |
49 |
Correct |
177 ms |
16964 KB |
Output is correct |
50 |
Correct |
150 ms |
13884 KB |
Output is correct |
51 |
Correct |
148 ms |
14776 KB |
Output is correct |
52 |
Correct |
143 ms |
16752 KB |
Output is correct |
53 |
Correct |
164 ms |
14676 KB |
Output is correct |
54 |
Correct |
154 ms |
13136 KB |
Output is correct |
55 |
Correct |
152 ms |
13644 KB |
Output is correct |
56 |
Correct |
156 ms |
13644 KB |
Output is correct |
57 |
Correct |
133 ms |
16724 KB |
Output is correct |
58 |
Correct |
129 ms |
16744 KB |
Output is correct |
59 |
Correct |
138 ms |
16784 KB |
Output is correct |
60 |
Correct |
147 ms |
16768 KB |
Output is correct |
61 |
Correct |
152 ms |
16728 KB |
Output is correct |
62 |
Correct |
132 ms |
12140 KB |
Output is correct |
63 |
Correct |
127 ms |
12064 KB |
Output is correct |
64 |
Correct |
157 ms |
12136 KB |
Output is correct |
65 |
Correct |
191 ms |
15160 KB |
Output is correct |
66 |
Correct |
187 ms |
15216 KB |
Output is correct |
67 |
Correct |
200 ms |
18168 KB |
Output is correct |
68 |
Correct |
181 ms |
18264 KB |
Output is correct |
69 |
Correct |
177 ms |
17968 KB |
Output is correct |
70 |
Correct |
171 ms |
18004 KB |
Output is correct |
71 |
Correct |
180 ms |
17600 KB |
Output is correct |
72 |
Correct |
172 ms |
17684 KB |
Output is correct |
73 |
Correct |
175 ms |
16700 KB |
Output is correct |
74 |
Correct |
184 ms |
16720 KB |
Output is correct |
75 |
Correct |
162 ms |
19772 KB |
Output is correct |
76 |
Correct |
143 ms |
19752 KB |
Output is correct |
77 |
Correct |
124 ms |
15492 KB |
Output is correct |
78 |
Correct |
177 ms |
17712 KB |
Output is correct |
79 |
Correct |
165 ms |
17252 KB |
Output is correct |
80 |
Correct |
1908 ms |
111484 KB |
Output is correct |
81 |
Correct |
1971 ms |
111108 KB |
Output is correct |
82 |
Correct |
1908 ms |
109992 KB |
Output is correct |
83 |
Correct |
1954 ms |
111144 KB |
Output is correct |
84 |
Correct |
1973 ms |
111496 KB |
Output is correct |
85 |
Correct |
1762 ms |
81124 KB |
Output is correct |
86 |
Correct |
1759 ms |
88228 KB |
Output is correct |
87 |
Correct |
1539 ms |
109480 KB |
Output is correct |
88 |
Correct |
1717 ms |
103312 KB |
Output is correct |
89 |
Correct |
1807 ms |
87660 KB |
Output is correct |
90 |
Correct |
1822 ms |
76248 KB |
Output is correct |
91 |
Correct |
1794 ms |
76020 KB |
Output is correct |
92 |
Correct |
1658 ms |
109552 KB |
Output is correct |
93 |
Correct |
1495 ms |
109600 KB |
Output is correct |
94 |
Correct |
1629 ms |
109648 KB |
Output is correct |
95 |
Correct |
1871 ms |
109548 KB |
Output is correct |
96 |
Correct |
1890 ms |
109556 KB |
Output is correct |
97 |
Correct |
1546 ms |
75508 KB |
Output is correct |
98 |
Correct |
1665 ms |
81648 KB |
Output is correct |
99 |
Correct |
1622 ms |
68860 KB |
Output is correct |
100 |
Correct |
2912 ms |
91944 KB |
Output is correct |
101 |
Correct |
2858 ms |
91940 KB |
Output is correct |
102 |
Correct |
2181 ms |
123112 KB |
Output is correct |
103 |
Correct |
2084 ms |
123176 KB |
Output is correct |
104 |
Correct |
2119 ms |
119340 KB |
Output is correct |
105 |
Correct |
2095 ms |
119344 KB |
Output is correct |
106 |
Correct |
2037 ms |
134524 KB |
Output is correct |
107 |
Correct |
2032 ms |
134836 KB |
Output is correct |
108 |
Correct |
2082 ms |
124308 KB |
Output is correct |
109 |
Correct |
2102 ms |
124184 KB |
Output is correct |
110 |
Correct |
1735 ms |
140728 KB |
Output is correct |
111 |
Correct |
1741 ms |
140992 KB |
Output is correct |
112 |
Correct |
1400 ms |
93824 KB |
Output is correct |
113 |
Correct |
1886 ms |
109808 KB |
Output is correct |
114 |
Correct |
1905 ms |
111172 KB |
Output is correct |