#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ar array
struct Point {
ll x, y;
Point operator-(const Point& o) const {
return {x-o.x, y-o.y};
}
ll operator*(const Point& o) const {
return x*o.y-y*o.x;
}
};
const int mxN=1000, M=1e9+7;
int n, p2[mxN+1];
Point a[mxN], b[2*mxN];
ll ans;
void solve() {
sort(b, b+n-1, [](Point x, Point y) {
int tx=(x.y>0||x.x>0&&x.y==0)?1:2;
int ty=(y.y>0||y.x>0&&y.y==0)?1:2;
return tx!=ty?tx<ty:x*y>0;
});
for (int i=0; i<n-1; ++i)
b[i+n-1]=b[i];
ans=(ans+p2[n]-1)%M;
for (int i=0, j=0; i<n-1; ++i) {
j=max(j, i);
while(j+1<i+n-1&&b[i]*b[j+1]>0)
++j;
ans=(ans-p2[j-i]+M)%M;
}
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n;
for (int i=0; i<n; ++i)
cin >> a[i].x >> a[i].y;
p2[0]=1;
for (int i=1; i<=n; ++i)
p2[i]=p2[i-1]*2%M;
for (int i=0; i<n; ++i) {
for (int j=0; j<n; ++j)
if (i!=j)
b[j-(j>i)]=a[j]-a[i];
solve();
}
cout << ans;
return 0;
}
Compilation message
Main.cpp: In lambda function:
Main.cpp:24:23: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
24 | int tx=(x.y>0||x.x>0&&x.y==0)?1:2;
| ~~~~~^~~~~~~~
Main.cpp:25:23: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
25 | int ty=(y.y>0||y.x>0&&y.y==0)?1:2;
| ~~~~~^~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
312 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
69 ms |
332 KB |
Output is correct |
7 |
Correct |
70 ms |
332 KB |
Output is correct |
8 |
Correct |
59 ms |
364 KB |
Output is correct |
9 |
Correct |
68 ms |
328 KB |
Output is correct |
10 |
Correct |
59 ms |
356 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
308 KB |
Output is correct |
2 |
Correct |
0 ms |
312 KB |
Output is correct |
3 |
Correct |
1 ms |
312 KB |
Output is correct |
4 |
Correct |
1 ms |
316 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
61 ms |
332 KB |
Output is correct |
7 |
Correct |
68 ms |
356 KB |
Output is correct |
8 |
Correct |
58 ms |
356 KB |
Output is correct |
9 |
Correct |
76 ms |
332 KB |
Output is correct |
10 |
Correct |
56 ms |
360 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
316 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
316 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
316 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
316 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
204 KB |
Output is correct |
17 |
Correct |
1 ms |
204 KB |
Output is correct |
18 |
Correct |
1 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
204 KB |
Output is correct |
20 |
Correct |
1 ms |
204 KB |
Output is correct |
21 |
Correct |
1 ms |
204 KB |
Output is correct |
22 |
Correct |
1 ms |
204 KB |
Output is correct |
23 |
Correct |
1 ms |
320 KB |
Output is correct |
24 |
Correct |
1 ms |
204 KB |
Output is correct |
25 |
Correct |
1 ms |
204 KB |
Output is correct |
26 |
Correct |
1 ms |
204 KB |
Output is correct |
27 |
Correct |
1 ms |
204 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
312 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
69 ms |
332 KB |
Output is correct |
7 |
Correct |
70 ms |
332 KB |
Output is correct |
8 |
Correct |
59 ms |
364 KB |
Output is correct |
9 |
Correct |
68 ms |
328 KB |
Output is correct |
10 |
Correct |
59 ms |
356 KB |
Output is correct |
11 |
Correct |
0 ms |
308 KB |
Output is correct |
12 |
Correct |
0 ms |
312 KB |
Output is correct |
13 |
Correct |
1 ms |
312 KB |
Output is correct |
14 |
Correct |
1 ms |
316 KB |
Output is correct |
15 |
Correct |
1 ms |
204 KB |
Output is correct |
16 |
Correct |
61 ms |
332 KB |
Output is correct |
17 |
Correct |
68 ms |
356 KB |
Output is correct |
18 |
Correct |
58 ms |
356 KB |
Output is correct |
19 |
Correct |
76 ms |
332 KB |
Output is correct |
20 |
Correct |
56 ms |
360 KB |
Output is correct |
21 |
Correct |
1 ms |
204 KB |
Output is correct |
22 |
Correct |
1 ms |
204 KB |
Output is correct |
23 |
Correct |
0 ms |
316 KB |
Output is correct |
24 |
Correct |
1 ms |
204 KB |
Output is correct |
25 |
Correct |
0 ms |
204 KB |
Output is correct |
26 |
Correct |
1 ms |
204 KB |
Output is correct |
27 |
Correct |
0 ms |
204 KB |
Output is correct |
28 |
Correct |
0 ms |
204 KB |
Output is correct |
29 |
Correct |
0 ms |
316 KB |
Output is correct |
30 |
Correct |
0 ms |
204 KB |
Output is correct |
31 |
Correct |
0 ms |
204 KB |
Output is correct |
32 |
Correct |
0 ms |
204 KB |
Output is correct |
33 |
Correct |
0 ms |
204 KB |
Output is correct |
34 |
Correct |
1 ms |
204 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
204 KB |
Output is correct |
37 |
Correct |
1 ms |
204 KB |
Output is correct |
38 |
Correct |
1 ms |
204 KB |
Output is correct |
39 |
Correct |
1 ms |
204 KB |
Output is correct |
40 |
Correct |
1 ms |
204 KB |
Output is correct |
41 |
Correct |
1 ms |
204 KB |
Output is correct |
42 |
Correct |
1 ms |
204 KB |
Output is correct |
43 |
Correct |
1 ms |
320 KB |
Output is correct |
44 |
Correct |
1 ms |
204 KB |
Output is correct |
45 |
Correct |
1 ms |
204 KB |
Output is correct |
46 |
Correct |
1 ms |
204 KB |
Output is correct |
47 |
Correct |
1 ms |
204 KB |
Output is correct |
48 |
Correct |
1 ms |
332 KB |
Output is correct |
49 |
Correct |
1 ms |
332 KB |
Output is correct |
50 |
Correct |
1 ms |
332 KB |
Output is correct |
51 |
Correct |
1 ms |
316 KB |
Output is correct |
52 |
Correct |
1 ms |
204 KB |
Output is correct |
53 |
Correct |
1 ms |
204 KB |
Output is correct |
54 |
Correct |
1 ms |
204 KB |
Output is correct |
55 |
Correct |
1 ms |
204 KB |
Output is correct |
56 |
Correct |
0 ms |
204 KB |
Output is correct |
57 |
Correct |
70 ms |
364 KB |
Output is correct |
58 |
Correct |
57 ms |
332 KB |
Output is correct |
59 |
Correct |
72 ms |
356 KB |
Output is correct |
60 |
Correct |
63 ms |
364 KB |
Output is correct |
61 |
Correct |
74 ms |
332 KB |
Output is correct |
62 |
Correct |
64 ms |
356 KB |
Output is correct |
63 |
Correct |
58 ms |
364 KB |
Output is correct |
64 |
Correct |
69 ms |
364 KB |
Output is correct |
65 |
Correct |
69 ms |
360 KB |
Output is correct |