Submission #961071

# Submission time Handle Problem Language Result Execution time Memory
961071 2024-04-11T13:27:19 Z Pety Kućice (COCI21_kucice) C++14
110 / 110
89 ms 604 KB
#include <bits/stdc++.h>
 
using namespace std;
 
const int N = 1e6+2;
using ll = long long;
const int mod = 1e9 + 7;

int n;
struct point {
  ll x, y;
  point operator - (const point &other) const {
    return {x - other.x, y - other.y};
  }
};
point p[1002];

ll ccw (point a, point b) {
  return a.x * b.y - a.y * b.x;
}

bool cmp (point a, point b) {
  if ((a.x > 0) != (b.x > 0))
    return a.x < b.x;
  return ccw(a, b) > 0;
}
ll pw[1002];

int main () 
{
  ios_base::sync_with_stdio(false);
  cin.tie(0); cout.tie(0);
  cin >> n;
  pw[0] = 1;
  for (int i = 1; i <= n; i++) {
    cin >> p[i].x >> p[i].y;
    pw[i] = 2ll * pw[i - 1] % mod;
  }
  ll ans = 0;
  for (int i = 1; i <= n; i++) {
    vector<point>v;
    for (int j = 1; j <= n; j++)
      if (j != i)
        v.push_back(p[j] - p[i]);
    sort(v.begin(), v.end(), cmp);
    int j = 0;
    ll x = 0;
    for (int i = 0; i < n - 1; i++) {
      while (ccw(v[i], v[(j + 1) % (n - 1)]) > 0)
        j++;
      x = (x + pw[(j - i + (n - 1)) % (n - 1)]) % mod;
    }
    x = pw[n] - x;
    if (x < 0) x += mod;
    ans += x;
    if (ans >= mod) ans %= mod;
  }
  cout << (ans-n + mod) % mod;
  return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 464 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 70 ms 468 KB Output is correct
7 Correct 82 ms 348 KB Output is correct
8 Correct 72 ms 348 KB Output is correct
9 Correct 79 ms 600 KB Output is correct
10 Correct 65 ms 604 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 604 KB Output is correct
6 Correct 73 ms 500 KB Output is correct
7 Correct 83 ms 504 KB Output is correct
8 Correct 68 ms 504 KB Output is correct
9 Correct 86 ms 500 KB Output is correct
10 Correct 71 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 600 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 504 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 460 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 600 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 504 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 460 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 600 KB Output is correct
17 Correct 1 ms 600 KB Output is correct
18 Correct 1 ms 504 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 1 ms 600 KB Output is correct
29 Correct 1 ms 504 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 464 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 70 ms 468 KB Output is correct
7 Correct 82 ms 348 KB Output is correct
8 Correct 72 ms 348 KB Output is correct
9 Correct 79 ms 600 KB Output is correct
10 Correct 65 ms 604 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 73 ms 500 KB Output is correct
17 Correct 83 ms 504 KB Output is correct
18 Correct 68 ms 504 KB Output is correct
19 Correct 86 ms 500 KB Output is correct
20 Correct 71 ms 348 KB Output is correct
21 Correct 0 ms 600 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 1 ms 504 KB Output is correct
29 Correct 1 ms 604 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 344 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 460 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 1 ms 600 KB Output is correct
37 Correct 1 ms 600 KB Output is correct
38 Correct 1 ms 504 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 1 ms 604 KB Output is correct
42 Correct 1 ms 344 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 1 ms 604 KB Output is correct
46 Correct 1 ms 344 KB Output is correct
47 Correct 1 ms 344 KB Output is correct
48 Correct 1 ms 600 KB Output is correct
49 Correct 1 ms 504 KB Output is correct
50 Correct 1 ms 348 KB Output is correct
51 Correct 1 ms 600 KB Output is correct
52 Correct 0 ms 600 KB Output is correct
53 Correct 0 ms 348 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 1 ms 348 KB Output is correct
56 Correct 1 ms 344 KB Output is correct
57 Correct 82 ms 600 KB Output is correct
58 Correct 72 ms 504 KB Output is correct
59 Correct 89 ms 348 KB Output is correct
60 Correct 70 ms 348 KB Output is correct
61 Correct 81 ms 504 KB Output is correct
62 Correct 76 ms 344 KB Output is correct
63 Correct 76 ms 504 KB Output is correct
64 Correct 77 ms 344 KB Output is correct
65 Correct 86 ms 508 KB Output is correct