Submission #532183

#TimeUsernameProblemLanguageResultExecution timeMemory
532183Killer2501Kućice (COCI21_kucice)C++14
110 / 110
129 ms9804 KiB
#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 (stderr)

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);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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