結果

問題 No.1144 Triangles
ユーザー maroon_kuri
提出日時 2020-07-31 22:07:41
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 632 ms / 3,000 ms
コード長 9,280 bytes
コンパイル時間 2,633 ms
コンパイル使用メモリ 210,008 KB
最終ジャッジ日時 2025-01-12 10:16:22
ジャッジサーバーID
（参考情報） 		judge3 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 4
other AC * 25
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ソースコード

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
using namespace std;
using ll=long long;
#define int ll
#define rng(i,a,b) for(int i=int(a);i<int(b);i++)
#define rep(i,b) rng(i,0,b)
#define gnr(i,a,b) for(int i=int(b)-1;i>=int(a);i--)
#define per(i,b) gnr(i,0,b)
#define pb push_back
#define eb emplace_back
#define a first
#define b second
#define bg begin()
#define ed end()
#define all(x) x.bg,x.ed
#define si(x) int(x.size())
#ifdef LOCAL
#define dmp(x) cerr<<__LINE__<<" "<<#x<<" "<<x<<endl
#else
#define dmp(x) void(0)
#endif
template<class t,class u> void chmax(t&a,u b){if(a<b)a=b;}
template<class t,class u> void chmin(t&a,u b){if(b<a)a=b;}
template<class t> using vc=vector<t>;
template<class t> using vvc=vc<vc<t>>;
using pi=pair<int,int>;
using vi=vc<int>;
template<class t,class u>
ostream& operator<<(ostream& os,const pair<t,u>& p){
    return os<<"{"<<p.a<<","<<p.b<<"}";
}
template<class t> ostream& operator<<(ostream& os,const vc<t>& v){
    os<<"{";
    for(auto e:v)os<<e<<",";
    return os<<"}";
}
#define mp make_pair
#define mt make_tuple
#define one(x) memset(x,-1,sizeof(x))
#define zero(x) memset(x,0,sizeof(x))
#ifdef LOCAL
void dmpr(ostream&os){os<<endl;}
template<class T,class... Args>
void dmpr(ostream&os,const T&t,const Args&... args){
    os<<t<<" ";
    dmpr(os,args...);
}
#define dmp2(...) dmpr(cerr,__LINE__,##__VA_ARGS__)
#else
#define dmp2(...) void(0)
#endif
using uint=unsigned;
using ull=unsigned long long;
template<class t,size_t n>
ostream& operator<<(ostream&os,const array<t,n>&a){
    return os<<vc<t>(all(a));
}
template<int i,class T>
void print_tuple(ostream&,const T&){
}
template<int i,class T,class H,class ...Args>
void print_tuple(ostream&os,const T&t){
    if(i)os<<",";
    os<<get<i>(t);
    print_tuple<i+1,T,Args...>(os,t);
}
template<class ...Args>
ostream& operator<<(ostream&os,const tuple<Args...>&t){
    os<<"{";
    print_tuple<0,tuple<Args...>,Args...>(os,t);
    return os<<"}";
}
template<class t>
void print(t x,int suc=1){
    cout<<x;
    if(suc==1)
        cout<<"\n";
    if(suc==2)
        cout<<" ";
}
ll read(){
    ll i;
    cin>>i;
    return i;
}
vi readvi(int n,int off=0){
    vi v(n);
    rep(i,n)v[i]=read()+off;
    return v;
}
template<class T>
void print(const vector<T>&v,int suc=1){
    rep(i,v.size())
        print(v[i],i==int(v.size())-1?suc:2);
}
string readString(){
    string s;
    cin>>s;
    return s;
}
template<class T>
T sq(const T& t){
    return t*t;
}
//#define CAPITAL
void yes(bool ex=true){
    #ifdef CAPITAL
    cout<<"YES"<<"\n";
    #else
    cout<<"Yes"<<"\n";
    #endif
    if(ex)exit(0);
}
void no(bool ex=true){
    #ifdef CAPITAL
    cout<<"NO"<<"\n";
    #else
    cout<<"No"<<"\n";
    #endif
    if(ex)exit(0);
}
void possible(bool ex=true){
    #ifdef CAPITAL
    cout<<"POSSIBLE"<<"\n";
    #else
    cout<<"Possible"<<"\n";
    #endif
    if(ex)exit(0);
}
void impossible(bool ex=true){
    #ifdef CAPITAL
    cout<<"IMPOSSIBLE"<<"\n";
    #else
    cout<<"Impossible"<<"\n";
    #endif
    if(ex)exit(0);
}
constexpr ll ten(int n){
    return n==0?1:ten(n-1)*10;
}
const ll infLL=LLONG_MAX/3;
#ifdef int
const int inf=infLL;
#else
const int inf=INT_MAX/2-100;
#endif
int topbit(signed t){
    return t==0?-1:31-__builtin_clz(t);
}
int topbit(ll t){
    return t==0?-1:63-__builtin_clzll(t);
}
int botbit(signed a){
    return a==0?32:__builtin_ctz(a);
}
int botbit(ll a){
    return a==0?64:__builtin_ctzll(a);
}
int popcount(signed t){
    return __builtin_popcount(t);
}
int popcount(ll t){
    return __builtin_popcountll(t);
}
bool ispow2(int i){
    return i&&(i&-i)==i;
}
ll mask(int i){
    return (ll(1)<<i)-1;
}
bool inc(int a,int b,int c){
    return a<=b&&b<=c;
}
template<class t> void mkuni(vc<t>&v){
    sort(all(v));
    v.erase(unique(all(v)),v.ed);
}
ll rand_int(ll l, ll r) { //[l, r]
    #ifdef LOCAL
    static mt19937_64 gen;
    #else
    static mt19937_64 gen(chrono::steady_clock::now().time_since_epoch().count());
    #endif
    return uniform_int_distribution<ll>(l, r)(gen);
}
template<class t>
void myshuffle(vc<t>&a){
    rep(i,si(a))swap(a[i],a[rand_int(0,i)]);
}
template<class t>
int lwb(const vc<t>&v,const t&a){
    return lower_bound(all(v),a)-v.bg;
}
struct modinfo{uint mod,root;};
template<modinfo const&ref>
struct modular{
    static constexpr uint const &mod=ref.mod;
    static modular root(){return modular(ref.root);}
    uint v;
    //modular(initializer_list<uint>ls):v(*ls.bg){}
    modular(ll vv=0){s(vv%mod+mod);}
    modular& s(uint vv){
        v=vv<mod?vv:vv-mod;
        return *this;
    }
    modular operator-()const{return modular()-*this;}
    modular& operator+=(const modular&rhs){return s(v+rhs.v);}
    modular&operator-=(const modular&rhs){return s(v+mod-rhs.v);}
    modular&operator*=(const modular&rhs){
        v=ull(v)*rhs.v%mod;
        return *this;
    }
    modular&operator/=(const modular&rhs){return *this*=rhs.inv();}
    modular operator+(const modular&rhs)const{return modular(*this)+=rhs;}
    modular operator-(const modular&rhs)const{return modular(*this)-=rhs;}
    modular operator*(const modular&rhs)const{return modular(*this)*=rhs;}
    modular operator/(const modular&rhs)const{return modular(*this)/=rhs;}
    modular pow(int n)const{
        modular res(1),x(*this);
        while(n){
            if(n&1)res*=x;
            x*=x;
            n>>=1;
        }
        return res;
    }
    modular inv()const{return pow(mod-2);}
    /*modular inv()const{
        int x,y;
        int g=extgcd<ll>(v,mod,x,y);
        assert(g==1);
        if(x<0)x+=mod;
        return modular(x);
    }*/
    friend modular operator+(int x,const modular&y){
        return modular(x)+y;
    }
    friend modular operator-(int x,const modular&y){
        return modular(x)-y;
    }
    friend modular operator*(int x,const modular&y){
        return modular(x)*y;
    }
    friend modular operator/(int x,const modular&y){
        return modular(x)/y;
    }
    friend ostream& operator<<(ostream&os,const modular&m){
        return os<<m.v;
    }
    friend istream& operator>>(istream&is,modular&m){
        ll x;is>>x;
        m=modular(x);
        return is;
    }
    bool operator<(const modular&r)const{return v<r.v;}
    bool operator==(const modular&r)const{return v==r.v;}
    bool operator!=(const modular&r)const{return v!=r.v;}
    explicit operator bool()const{
        return v;
    }
};
//extern constexpr modinfo base{998244353,3};
extern constexpr modinfo base{1000000007,0};
//modinfo base{1,0};
using mint=modular<base>;
const int vmax=(1<<21)+10;
mint fact[vmax],finv[vmax],invs[vmax];
void initfact(){
    fact[0]=1;
    rng(i,1,vmax){
        fact[i]=fact[i-1]*i;
    }
    finv[vmax-1]=fact[vmax-1].inv();
    for(int i=vmax-2;i>=0;i--){
        finv[i]=finv[i+1]*(i+1);
    }
    for(int i=vmax-1;i>=1;i--){
        invs[i]=finv[i]*fact[i-1];
    }
}
mint choose(int n,int k){
    return fact[n]*finv[n-k]*finv[k];
}
mint binom(int a,int b){
    return fact[a+b]*finv[a]*finv[b];
}
mint catalan(int n){
    return binom(n,n)-(n-1>=0?binom(n-1,n+1):0);
}
//#define GEOF
#ifdef GEOF
using ld=long double;
#else
using ld=ll;
#endif
using cm=complex<ld>;
#define x real()
#define y imag()
const ld eps=1e-12;
#ifdef GEOF
const ld PI=acos(ld(-1));
#endif
int sgn(ld a){return a<-eps?-1:(a>eps?1:0);}
ld rabs(cm a){return max(abs(a.x),abs(a.y));}
ld signed_rabs(cm a){
    if(abs(a.x)>abs(a.y))return a.x;
    else return a.y;
}
ld dot(cm a,cm b){return a.x*b.x+a.y*b.y;}
ld crs(cm a,cm b){return a.x*b.y-a.y*b.x;}
ld crs(cm a,cm b,cm c){return crs(b-a,c-a);}
int ccw(cm a,cm b){return sgn(crs(a,b));}
int ccw(cm a,cm b,cm c){return ccw(b-a,c-a);}
auto cmless=[](cm a,cm b){
    int s=sgn(a.x-b.x);
    if(s)return s<0;
    else return sgn(a.y-b.y)<0;
};
bool cmeq(cm a,cm b){
    return sgn(a.x-b.x)==0&&sgn(a.y-b.y)==0;
};
//(-pi,0](0,pi]
int argtype(cm a){
    if(sgn(a.y)==0)return a.x<0?1:0;
    return a.y<0?0:1;
}
int argcmp(cm a,cm b){
    int at=argtype(a),bt=argtype(b);
    if(at!=bt)return at<bt?-1:1;
    return -ccw(a,b);
};
bool argless(cm a,cm b){return argcmp(a,b)<0;}
//(-2)[a,-1](0)[b,1](2)
int bet(cm a,cm b,cm c){
    cm d=b-a;
    ld e=dot(d,c-a);
    if(sgn(e)<=0)return sgn(e)-1;
    return sgn(e-norm(d))+1;
}
//AOJ0153
//0-no,1-edge,2-in
int cont(cm a,cm b,cm c,cm d){
    if(ccw(a,b,c)==-1)
        swap(b,c);
    return min({ccw(a,b,d),ccw(b,c,d),ccw(c,a,d)})+1;
}
#ifdef GEOF
//AOJ1183
//Xmas2010 E
int qeq(ld a,ld b,ld c,ld&d,ld&e){
    if(sgn(a)==0){
        if(sgn(b)==0)return 0;
        d=-c/b;
        return 1;
    }
    ld f=b*b-4*a*c;
    if(sgn(f)<0)return 0;
    ld g=sqrt(max(f,ld(0)));
    d=(-b+g)/(2*a);
    e=(-b-g)/(2*a);
    return sgn(f)+1;
}
//AOJ1183
//arg between ab
//assume given lengths are valid
ld arg(ld a,ld b,ld c){
    return acos(min(max((a*a+b*b-c*c)/(2*a*b),ld(-1)),ld(1)));
}
//AOJ2233
//a->b->c と進むときに曲がる角度
//a-b-cが一直線上にあれば0が帰る
ld turn(cm a,cm b,cm c){
    return arg((c-b)/(b-a));
}
#endif
cm rot90(cm a){
    return cm(-a.y,a.x);
}
#ifndef GEOF
int gcd(int a,int b){return b?gcd(b,a%b):a;}
cm normdir(cm a){
    if(a==cm(0,0))return a;
    int g=gcd(abs(a.x),abs(a.y));
    return cm(a.x/g,a.y/g);
}
#endif
//not verified
//assume there exists a triangle
ld heron(ld a,ld b,ld c){
    ld s=(a+b+c)/2;
    return sqrt(s*max(s-a,ld(0))*max(s-b,ld(0))*max(s-c,ld(0)));
}
signed main(){
    cin.tie(0);
    ios::sync_with_stdio(0);
    cout<<fixed<<setprecision(20);
    
    int n;cin>>n;
    vc<cm> ps(n);
    rep(i,n){
        int a,b;cin>>a>>b;
        ps[i]=cm(a,b);
    }
    mint ans=0;
    rep(i,n){
        vc<cm> z;
        rep(j,n)if(ps[i]!=ps[j])z.eb(ps[j]-ps[i]);
        sort(all(z),argless);
        int s=si(z);
        int k=0;
        for(int j=0;j<s;){
            int nx=j;
            while(nx<s&&argcmp(z[j],z[nx])==0)nx++;
            chmax(k,nx-1);
            while((k+1)%s!=j&&ccw(z[j],z[(k+1)%s])>0)k++;
            while(j<nx){
                ans+=crs(ps[i],z[j]+ps[i])*(k-nx+1);
                j++;
            }
        }
    }
    
    cout<<ans<<endl;
}
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