#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define ull unsigned long long
#define pb push_back
#define pll pair<ll, ll>
#define pii pair<ll, int>
#define fi first
#define se second
using namespace std;
const int N = 2e5+2;
const int M = 52;
const int mod = 1e9+7;
const ll base = 75;
const ll inf = 1e16;
int n, lab[N], t, c[N], h[N], m, a[N], b[N], k;
ll ans, d[N];
vector<int> adj[N], g[N];
vector<pll> vi;
string s;
bool vis[N];
ll pw(ll k, ll n)
{
ll total = 1;
for(; n; n >>= 1)
{
if(n&1)total = total * k % mod;
k = k * k % mod;
}
return total;
}
void add(int& x, int y)
{
x += y;
if(x >= mod)x -= mod;
}
int findp(int u)
{
return lab[u] < 0 ? u : lab[u] = findp(lab[u]);
}
void hop(int u, int v)
{
u = findp(u);
v = findp(v);
if(u == v)return;
if(lab[u] > lab[v])swap(u, v);
lab[u] += lab[v];
lab[v] = u;
}
struct BIT
{
int n;
vector<ll> fe;
BIT(){}
void init(int _n)
{
n = _n;
fe.resize(n+1, 0);
}
void reset()
{
fill(fe.begin(), fe.end(), 0);
}
void add(int id, int x)
{
for(; id <= n; id += id & -id)fe[id] += x;
}
ll get(int id)
{
ll total = 0;
for(; id; id -= id & -id)total += fe[id];
return total;
}
};
pll p[N];
ll ccw(pll x, pll y)
{
return x.se * y.fi - x.fi * y.se;
}
bool cmp(const pll& x, pll& y)
{
if((x.fi > 0) != (y.fi > 0))return x.fi < y.fi;
return ccw(x, y) > 0;
}
void sol()
{
cin >> n;
d[0] = 1;
for(int i = 1; i <= n; i ++)
{
cin >> p[i].fi >> p[i].se;
d[i] = d[i-1] * 2 % mod;
}
ans = d[n] * n % mod;
ans = (ans - n + mod) % mod;
for(int i = 1; i <= n; i ++)
{
vi.clear();
for(int j = 1; j <= n; j ++)
{
if(i == j)continue;
p[j].fi -= p[i].fi;
p[j].se -= p[i].se;
vi.pb(p[j]);
}
sort(vi.begin(), vi.end(), cmp);
for(int l = 0, r = 0; l < n-1; l ++)
{
if(l > r)r = l;
while(ccw(vi[l%(n-1)], vi[(r+1)%(n-1)]) > 0)++r;
//cout << l <<" "<<r<<" "<<d[r-l] << '\n';
ans = (ans - d[r-l] + mod) % mod;
}
for(int j = 1; j <= n; j ++)
{
if(i == j)continue;
p[j].fi += p[i].fi;
p[j].se += p[i].se;
}
}
cout << ans;
}
int main()
{
cin.tie(0);
cout.tie(0);
ios_base::sync_with_stdio(0);
#define task "test"
if(fopen(task".inp", "r"))
{
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
int test = 1;
//cin >> test;
while(test -- > 0)sol();
return 0;
}
/*
1234
21
*/
Compilation message
Main.cpp: In function 'int main()':
Main.cpp:131:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
131 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:132:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
132 | freopen(task".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
9676 KB |
Output is correct |
2 |
Correct |
5 ms |
9724 KB |
Output is correct |
3 |
Correct |
5 ms |
9676 KB |
Output is correct |
4 |
Correct |
5 ms |
9676 KB |
Output is correct |
5 |
Correct |
6 ms |
9676 KB |
Output is correct |
6 |
Correct |
90 ms |
9780 KB |
Output is correct |
7 |
Correct |
108 ms |
9780 KB |
Output is correct |
8 |
Correct |
98 ms |
9776 KB |
Output is correct |
9 |
Correct |
125 ms |
9784 KB |
Output is correct |
10 |
Correct |
89 ms |
9676 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
9728 KB |
Output is correct |
2 |
Correct |
5 ms |
9724 KB |
Output is correct |
3 |
Correct |
5 ms |
9676 KB |
Output is correct |
4 |
Correct |
7 ms |
9676 KB |
Output is correct |
5 |
Correct |
6 ms |
9676 KB |
Output is correct |
6 |
Correct |
102 ms |
9780 KB |
Output is correct |
7 |
Correct |
111 ms |
9788 KB |
Output is correct |
8 |
Correct |
89 ms |
9676 KB |
Output is correct |
9 |
Correct |
128 ms |
9676 KB |
Output is correct |
10 |
Correct |
102 ms |
9776 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
9732 KB |
Output is correct |
2 |
Correct |
5 ms |
9676 KB |
Output is correct |
3 |
Correct |
6 ms |
9728 KB |
Output is correct |
4 |
Correct |
5 ms |
9676 KB |
Output is correct |
5 |
Correct |
5 ms |
9728 KB |
Output is correct |
6 |
Correct |
7 ms |
9676 KB |
Output is correct |
7 |
Correct |
5 ms |
9676 KB |
Output is correct |
8 |
Correct |
6 ms |
9676 KB |
Output is correct |
9 |
Correct |
5 ms |
9640 KB |
Output is correct |
10 |
Correct |
5 ms |
9676 KB |
Output is correct |
11 |
Correct |
5 ms |
9676 KB |
Output is correct |
12 |
Correct |
5 ms |
9676 KB |
Output is correct |
13 |
Correct |
5 ms |
9676 KB |
Output is correct |
14 |
Correct |
6 ms |
9728 KB |
Output is correct |
15 |
Correct |
7 ms |
9676 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
9732 KB |
Output is correct |
2 |
Correct |
5 ms |
9676 KB |
Output is correct |
3 |
Correct |
6 ms |
9728 KB |
Output is correct |
4 |
Correct |
5 ms |
9676 KB |
Output is correct |
5 |
Correct |
5 ms |
9728 KB |
Output is correct |
6 |
Correct |
7 ms |
9676 KB |
Output is correct |
7 |
Correct |
5 ms |
9676 KB |
Output is correct |
8 |
Correct |
6 ms |
9676 KB |
Output is correct |
9 |
Correct |
5 ms |
9640 KB |
Output is correct |
10 |
Correct |
5 ms |
9676 KB |
Output is correct |
11 |
Correct |
5 ms |
9676 KB |
Output is correct |
12 |
Correct |
5 ms |
9676 KB |
Output is correct |
13 |
Correct |
5 ms |
9676 KB |
Output is correct |
14 |
Correct |
6 ms |
9728 KB |
Output is correct |
15 |
Correct |
7 ms |
9676 KB |
Output is correct |
16 |
Correct |
6 ms |
9676 KB |
Output is correct |
17 |
Correct |
5 ms |
9724 KB |
Output is correct |
18 |
Correct |
6 ms |
9676 KB |
Output is correct |
19 |
Correct |
5 ms |
9732 KB |
Output is correct |
20 |
Correct |
5 ms |
9676 KB |
Output is correct |
21 |
Correct |
5 ms |
9676 KB |
Output is correct |
22 |
Correct |
5 ms |
9676 KB |
Output is correct |
23 |
Correct |
6 ms |
9676 KB |
Output is correct |
24 |
Correct |
7 ms |
9728 KB |
Output is correct |
25 |
Correct |
6 ms |
9676 KB |
Output is correct |
26 |
Correct |
6 ms |
9728 KB |
Output is correct |
27 |
Correct |
8 ms |
9676 KB |
Output is correct |
28 |
Correct |
7 ms |
9732 KB |
Output is correct |
29 |
Correct |
7 ms |
9728 KB |
Output is correct |
30 |
Correct |
6 ms |
9676 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
9676 KB |
Output is correct |
2 |
Correct |
5 ms |
9724 KB |
Output is correct |
3 |
Correct |
5 ms |
9676 KB |
Output is correct |
4 |
Correct |
5 ms |
9676 KB |
Output is correct |
5 |
Correct |
6 ms |
9676 KB |
Output is correct |
6 |
Correct |
90 ms |
9780 KB |
Output is correct |
7 |
Correct |
108 ms |
9780 KB |
Output is correct |
8 |
Correct |
98 ms |
9776 KB |
Output is correct |
9 |
Correct |
125 ms |
9784 KB |
Output is correct |
10 |
Correct |
89 ms |
9676 KB |
Output is correct |
11 |
Correct |
5 ms |
9728 KB |
Output is correct |
12 |
Correct |
5 ms |
9724 KB |
Output is correct |
13 |
Correct |
5 ms |
9676 KB |
Output is correct |
14 |
Correct |
7 ms |
9676 KB |
Output is correct |
15 |
Correct |
6 ms |
9676 KB |
Output is correct |
16 |
Correct |
102 ms |
9780 KB |
Output is correct |
17 |
Correct |
111 ms |
9788 KB |
Output is correct |
18 |
Correct |
89 ms |
9676 KB |
Output is correct |
19 |
Correct |
128 ms |
9676 KB |
Output is correct |
20 |
Correct |
102 ms |
9776 KB |
Output is correct |
21 |
Correct |
5 ms |
9732 KB |
Output is correct |
22 |
Correct |
5 ms |
9676 KB |
Output is correct |
23 |
Correct |
6 ms |
9728 KB |
Output is correct |
24 |
Correct |
5 ms |
9676 KB |
Output is correct |
25 |
Correct |
5 ms |
9728 KB |
Output is correct |
26 |
Correct |
7 ms |
9676 KB |
Output is correct |
27 |
Correct |
5 ms |
9676 KB |
Output is correct |
28 |
Correct |
6 ms |
9676 KB |
Output is correct |
29 |
Correct |
5 ms |
9640 KB |
Output is correct |
30 |
Correct |
5 ms |
9676 KB |
Output is correct |
31 |
Correct |
5 ms |
9676 KB |
Output is correct |
32 |
Correct |
5 ms |
9676 KB |
Output is correct |
33 |
Correct |
5 ms |
9676 KB |
Output is correct |
34 |
Correct |
6 ms |
9728 KB |
Output is correct |
35 |
Correct |
7 ms |
9676 KB |
Output is correct |
36 |
Correct |
6 ms |
9676 KB |
Output is correct |
37 |
Correct |
5 ms |
9724 KB |
Output is correct |
38 |
Correct |
6 ms |
9676 KB |
Output is correct |
39 |
Correct |
5 ms |
9732 KB |
Output is correct |
40 |
Correct |
5 ms |
9676 KB |
Output is correct |
41 |
Correct |
5 ms |
9676 KB |
Output is correct |
42 |
Correct |
5 ms |
9676 KB |
Output is correct |
43 |
Correct |
6 ms |
9676 KB |
Output is correct |
44 |
Correct |
7 ms |
9728 KB |
Output is correct |
45 |
Correct |
6 ms |
9676 KB |
Output is correct |
46 |
Correct |
6 ms |
9728 KB |
Output is correct |
47 |
Correct |
8 ms |
9676 KB |
Output is correct |
48 |
Correct |
7 ms |
9732 KB |
Output is correct |
49 |
Correct |
7 ms |
9728 KB |
Output is correct |
50 |
Correct |
6 ms |
9676 KB |
Output is correct |
51 |
Correct |
6 ms |
9728 KB |
Output is correct |
52 |
Correct |
5 ms |
9724 KB |
Output is correct |
53 |
Correct |
5 ms |
9676 KB |
Output is correct |
54 |
Correct |
5 ms |
9676 KB |
Output is correct |
55 |
Correct |
6 ms |
9676 KB |
Output is correct |
56 |
Correct |
5 ms |
9676 KB |
Output is correct |
57 |
Correct |
105 ms |
9780 KB |
Output is correct |
58 |
Correct |
89 ms |
9772 KB |
Output is correct |
59 |
Correct |
108 ms |
9784 KB |
Output is correct |
60 |
Correct |
101 ms |
9776 KB |
Output is correct |
61 |
Correct |
112 ms |
9784 KB |
Output is correct |
62 |
Correct |
97 ms |
9744 KB |
Output is correct |
63 |
Correct |
91 ms |
9744 KB |
Output is correct |
64 |
Correct |
113 ms |
9804 KB |
Output is correct |
65 |
Correct |
129 ms |
9784 KB |
Output is correct |