#include<iostream>
#include<algorithm>
using namespace std;
using pii = pair<int, int>;
using ll = long long;
#define forn(i, n) for(int i=0; i<(int)n; ++i)
#define dforn(i, n) for(int i=n-1; i>=0; --i)
#define F first
#define S second
const int MAXN=1010, MOD=1000000007;
int n;
pii pt[MAXN], arr[MAXN];
ll ex(ll b, int e){
ll ret=1;
while(e){
if(e&1) ret = (ret*b)%MOD;
b = (b*b)%MOD;
e>>=1;
}
return ret;
}
bool up(pii a){
return (a.S==0? (a.F>0) : (a.S>0));
}
ll signed_area(pii a, pii b, pii c){
return (((ll)a.F)*b.S - ((ll)a.S)*b.F + ((ll)b.F)*c.S - ((ll)b.S)*c.F + ((ll)c.F)*a.S - ((ll)c.S)*a.F);
}
ll count(int ind){
ll ret=0;
copy(pt, pt+n, arr), swap(arr[ind], arr[n-1]);
sort(arr, arr+n-1, [](pii a, pii b){
pii A = {a.F - arr[n-1].F, a.S - arr[n-1].S};
pii B = {b.F - arr[n-1].F, b.S - arr[n-1].S};
return up(A)==up(B)? ((ll)A.S)*B.F < ((ll)B.S)*A.F : (up(A)>up(B));
});
forn(i, n-1){
int cur=i, off=0;
dforn(j, 10) if(off+(1<<j)<(n-1)){
int nxt = (cur+(1<<j))%(n-1);
if(signed_area(arr[n-1], arr[i], arr[nxt])>0){
cur = nxt, off+=(1<<j);
}
}
ret+=ex(2, off);
}
return ret+1;
}
int main(){
ll ans=0;
scanf("%d", &n);
forn(i, n) scanf("%d %d", &pt[i].F, &pt[i].S);
forn(i, n) ans+=count(i);
printf("%d\n", ((int)((n*(ex(2, n)) - (ans%MOD) + MOD)%MOD)));
}
Compilation message
Main.cpp: In function 'int main()':
Main.cpp:56:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
56 | scanf("%d", &n);
| ~~~~~^~~~~~~~~~
Main.cpp:57:21: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
57 | forn(i, n) scanf("%d %d", &pt[i].F, &pt[i].S);
| ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
208 ms |
332 KB |
Output is correct |
7 |
Correct |
256 ms |
320 KB |
Output is correct |
8 |
Correct |
193 ms |
332 KB |
Output is correct |
9 |
Correct |
248 ms |
308 KB |
Output is correct |
10 |
Correct |
203 ms |
320 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
203 ms |
288 KB |
Output is correct |
7 |
Correct |
245 ms |
212 KB |
Output is correct |
8 |
Correct |
197 ms |
308 KB |
Output is correct |
9 |
Correct |
234 ms |
212 KB |
Output is correct |
10 |
Correct |
195 ms |
312 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
2 ms |
212 KB |
Output is correct |
23 |
Correct |
2 ms |
300 KB |
Output is correct |
24 |
Correct |
2 ms |
212 KB |
Output is correct |
25 |
Correct |
2 ms |
340 KB |
Output is correct |
26 |
Correct |
2 ms |
212 KB |
Output is correct |
27 |
Correct |
2 ms |
304 KB |
Output is correct |
28 |
Correct |
2 ms |
212 KB |
Output is correct |
29 |
Correct |
2 ms |
212 KB |
Output is correct |
30 |
Correct |
2 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
208 ms |
332 KB |
Output is correct |
7 |
Correct |
256 ms |
320 KB |
Output is correct |
8 |
Correct |
193 ms |
332 KB |
Output is correct |
9 |
Correct |
248 ms |
308 KB |
Output is correct |
10 |
Correct |
203 ms |
320 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
203 ms |
288 KB |
Output is correct |
17 |
Correct |
245 ms |
212 KB |
Output is correct |
18 |
Correct |
197 ms |
308 KB |
Output is correct |
19 |
Correct |
234 ms |
212 KB |
Output is correct |
20 |
Correct |
195 ms |
312 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
0 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
212 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
0 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
0 ms |
212 KB |
Output is correct |
37 |
Correct |
0 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
0 ms |
212 KB |
Output is correct |
41 |
Correct |
0 ms |
212 KB |
Output is correct |
42 |
Correct |
2 ms |
212 KB |
Output is correct |
43 |
Correct |
2 ms |
300 KB |
Output is correct |
44 |
Correct |
2 ms |
212 KB |
Output is correct |
45 |
Correct |
2 ms |
340 KB |
Output is correct |
46 |
Correct |
2 ms |
212 KB |
Output is correct |
47 |
Correct |
2 ms |
304 KB |
Output is correct |
48 |
Correct |
2 ms |
212 KB |
Output is correct |
49 |
Correct |
2 ms |
212 KB |
Output is correct |
50 |
Correct |
2 ms |
212 KB |
Output is correct |
51 |
Correct |
1 ms |
212 KB |
Output is correct |
52 |
Correct |
1 ms |
304 KB |
Output is correct |
53 |
Correct |
0 ms |
212 KB |
Output is correct |
54 |
Correct |
1 ms |
212 KB |
Output is correct |
55 |
Correct |
1 ms |
212 KB |
Output is correct |
56 |
Correct |
1 ms |
300 KB |
Output is correct |
57 |
Correct |
249 ms |
440 KB |
Output is correct |
58 |
Correct |
207 ms |
304 KB |
Output is correct |
59 |
Correct |
256 ms |
312 KB |
Output is correct |
60 |
Correct |
198 ms |
212 KB |
Output is correct |
61 |
Correct |
233 ms |
308 KB |
Output is correct |
62 |
Correct |
223 ms |
308 KB |
Output is correct |
63 |
Correct |
208 ms |
316 KB |
Output is correct |
64 |
Correct |
240 ms |
308 KB |
Output is correct |
65 |
Correct |
237 ms |
304 KB |
Output is correct |