#523020 (C++17) No.1144 Triangles

• 問題: No.1144 Triangles
• ユーザー: jell
• 提出日時: 2020-08-01 11:16:49
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: CE (最新)
  AC
  (最初)
• 実行時間: -
• コード長: 16,739 bytes
• コンパイル時間: 2,394 ms
• コンパイル使用メモリ: 215,008 KB
• 最終ジャッジ日時: 2024-07-07 20:18:59
• 合計ジャッジ時間: 3,173 ms
• ジャッジサーバーID （参考情報）: judge4 / judge1

コンパイルメッセージ

main.cpp:104:8: error: 'template<class T> struct read' redeclared as different kind of entity
  104 | struct read
      |        ^~~~
In file included from /usr/include/x86_64-linux-gnu/bits/sigstksz.h:24,
                 from /usr/include/signal.h:328,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/csignal:42,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/x86_64-pc-linux-gnu/bits/stdc++.h:43,
                 from main.cpp:15:
/usr/include/unistd.h:371:16: note: previous declaration 'ssize_t read(int, void*, size_t)'
  371 | extern ssize_t read (int __fd, void *__buf, size_t __nbytes) __wur
      |                ^~~~
main.cpp:112:8: error: 'read' is not a class template
  112 | struct read<void>
      |        ^~~~
main.cpp:113:1: error: explicit specialization of non-template 'read'
  113 | {
      | ^
main.cpp: In constructor 'solver::solver()':
main.cpp:363:25: error: too few arguments to function 'ssize_t read(int, void*, size_t)'
  363 |         const int n=read();
      |                     ~~~~^~
/usr/include/unistd.h:371:16: note: declared here
  371 | extern ssize_t read (int __fd, void *__buf, size_t __nbytes) __wur
      |                ^~~~

ソースコード

#pragma region preprocessor
#ifdef LOCAL
//*
    #define _GLIBCXX_DEBUG  // gcc
/*/
    #define _LIBCPP_DEBUG 0 // clang
//*/
    // #define __buffer_check__
#else
    #pragma GCC optimize("Ofast")
    // #define NDEBUG
#endif
#define __precision__ 15
#define __iostream_untie__ true
#include <bits/stdc++.h>
#include <ext/rope>

#ifdef LOCAL
    #include "dump.hpp"
    #define mesg(str) std::cerr << "[ " << __LINE__ << " : " << __FUNCTION__ << " ]  " << str << "\n"
#else
    #define dump(...) ((void)0)
    #define mesg(str) ((void)0)
#endif
#pragma endregion

#pragma region std-overload
namespace std
{
    // hash
    template <class T> size_t hash_combine(size_t seed, T const &key) { return seed ^ (hash<T>()(key) + 0x9e3779b9 + (seed << 6) + (seed >> 2)); }
    template <class T, class U> struct hash<pair<T, U>> { size_t operator()(pair<T, U> const &pr) const { return hash_combine(hash_combine(0, pr.first), pr.second); } };
    template <class tuple_t, size_t index = tuple_size<tuple_t>::value - 1> struct tuple_hash_calc { static size_t apply(size_t seed, tuple_t const &t) { return hash_combine(tuple_hash_calc<tuple_t, index - 1>::apply(seed, t), get<index>(t)); } };
    template <class tuple_t> struct tuple_hash_calc<tuple_t, 0> { static size_t apply(size_t seed, tuple_t const &t) { return hash_combine(seed, get<0>(t)); } };
    template <class... T> struct hash<tuple<T...>> { size_t operator()(tuple<T...> const &t) const { return tuple_hash_calc<tuple<T...>>::apply(0, t); } };
    // iostream
    template <class T, class U> istream &operator>>(istream &is, pair<T, U> &p) { return is >> p.first >> p.second; }
    template <class T, class U> ostream &operator<<(ostream &os, const pair<T, U> &p) { return os << p.first << ' ' << p.second; }
    template <class tuple_t, size_t index> struct tupleis { static istream &apply(istream &is, tuple_t &t) { tupleis<tuple_t, index - 1>::apply(is, t); return is >> get<index>(t); } };
    template <class tuple_t> struct tupleis<tuple_t, SIZE_MAX> { static istream &apply(istream &is, tuple_t &t) { return is; } };
    template <class... T> istream &operator>>(istream &is, tuple<T...> &t) { return tupleis<tuple<T...>, tuple_size<tuple<T...>>::value - 1>::apply(is, t); }
    template <> istream &operator>>(istream &is, tuple<> &t) { return is; }
    template <class tuple_t, size_t index> struct tupleos { static ostream &apply(ostream &os, const tuple_t &t) { tupleos<tuple_t, index - 1>::apply(os, t); return os << ' ' << get<index>(t); } };
    template <class tuple_t> struct tupleos<tuple_t, 0> { static ostream &apply(ostream &os, const tuple_t &t) { return os << get<0>(t); } };
    template <class... T> ostream &operator<<(ostream &os, const tuple<T...> &t) { return tupleos<tuple<T...>, tuple_size<tuple<T...>>::value - 1>::apply(os, t); }
    template <> ostream &operator<<(ostream &os, const tuple<> &t) { return os; }
    template <class Container, typename Value = typename Container::value_type, enable_if_t<!is_same<decay_t<Container>, string>::value, nullptr_t> = nullptr>
    istream& operator>>(istream& is, Container &cont) { for(auto&& e : cont) is >> e; return is; }
    template <class Container, typename Value = typename Container::value_type, enable_if_t<!is_same<decay_t<Container>, string>::value, nullptr_t> = nullptr>
    ostream& operator<<(ostream& os, const Container &cont) { bool flag = 1; for(auto&& e : cont) flag ? flag = 0 : (os << ' ', 0), os << e; return os; }
} // namespace std
#pragma endregion

#pragma region config
namespace config
{
    const auto start_time{std::chrono::system_clock::now()};
    int64_t elapsed()
    {
        using namespace std::chrono;
        const auto end_time{std::chrono::system_clock::now()};
        return duration_cast<milliseconds>(end_time - start_time).count();
    }
    __attribute__((constructor)) void setup()
    {
        using namespace std;
        if(__iostream_untie__) ios::sync_with_stdio(false), cin.tie(nullptr);
                cout << fixed << setprecision(__precision__);
        #ifdef DEBUG
                freopen("debug.out","w",stdout);
                freopen("debug.err","w",stderr);
                if(!freopen("debug.in","r",stdin))
                {
                    cerr << "error: \"./debug.in\" not found.\n";
                    exit(EXIT_FAILURE);
                }
        #endif
        #ifdef stderr_path
                freopen(stderr_path, "a", stderr);
        #endif
        #ifdef LOCAL
                cerr << fixed << setprecision(__precision__) << boolalpha << "\n----- stderr at LOCAL -----\n\n";
                atexit([]{ cerr << "\n----- Exec time : " << elapsed() << " ms -----\n\n"; });
        #endif
        #ifdef __buffer_check__
                atexit([]{ ofstream cnsl("CON"); char bufc; if(cin >> bufc) cnsl << "\n\033[1;35mwarning\033[0m: buffer not empty.\n\n"; });
        #endif
    }
} // namespace config
#pragma endregion

#pragma region utility
// lambda wrapper for recursive method.
template <class lambda_type>
class fixed_point
{
    lambda_type func;
public:
    fixed_point(lambda_type &&f) : func(std::move(f)) {}
    template <class... Args> auto operator()(Args &&... args) const { return func(*this, std::forward<Args>(args)...); }
};
// read with std::cin.
template <class T = void>
struct read
{
    typename std::remove_const<T>::type value;
    template <class... types>
    read(types... args) : value(args...) { std::cin >> value; }
    operator T() const { return value; }
};
template <>
struct read<void>
{
    template <class T>
    operator T() const { T value; std::cin >> value; return value; }
};
// substitute y for x if x > y.
template <class T> inline bool chmin(T &x, const T &y) { return x > y ? x = y, true : false; }
// substitute y for x if x < y.
template <class T> inline bool chmax(T &x, const T &y) { return x < y ? x = y, true : false; }
// binary search on discrete range.
template <class iter_type, class pred_type>
iter_type binary(iter_type __ok, iter_type __ng, pred_type pred)
{
    assert(__ok != __ng);
    std::ptrdiff_t dist(__ng - __ok);
    while(std::abs(dist) > 1)
    {
        iter_type mid(__ok + dist / 2);
        if(pred(mid)) __ok = mid, dist -= dist / 2;
        else __ng = mid, dist /= 2;
    }
    return __ok;
}
// binary search on real numbers.
template <class pred_type>
long double binary(long double __ok, long double __ng, const long double eps, pred_type pred)
{
    assert(__ok != __ng);
    while(std::abs(__ok - __ng) > eps)
    {
        long double mid{(__ok + __ng) / 2};
        (pred(mid) ? __ok : __ng) = mid;
    }
    return __ok;
}
// trinary search on discrete range.
template <class iter_type, class comp_type>
iter_type trinary(iter_type __first, iter_type __last, comp_type comp)
{
    assert(__first < __last);
    std::ptrdiff_t dist(__last - __first);
    while(dist > 2)
    {
        iter_type __left(__first + dist / 3), __right(__first + dist * 2 / 3);
        if(comp(__left, __right)) __last = __right, dist = dist * 2 / 3;
        else __first = __left, dist -= dist / 3;
    }
    if(dist > 1 && comp(next(__first), __first)) ++__first;
    return __first;
}
// trinary search on real numbers.
template <class comp_type>
long double trinary(long double __first, long double __last, const long double eps, comp_type comp)
{
    assert(__first < __last);
    while(__last - __first > eps)
    {
        long double __left{(__first * 2 + __last) / 3}, __right{(__first + __last * 2) / 3};
        if(comp(__left, __right)) __last = __right;
        else __first = __left;
    }
    return __first;
}
// size of array.
template <class A, size_t N> size_t size(A (&array)[N]) { return N; }
// be careful that val is type-sensitive.
template <class T, class A, size_t N> void init(A (&array)[N], const T &val) { std::fill((T*)array, (T*)(array + N), val); }
#pragma endregion

#pragma region alias
using namespace std;
using i32 = int_least32_t; using i64 = int_least64_t; using u32 = uint_least32_t; using u64 = uint_least64_t;
using p32 = pair<i32, i32>; using p64 = pair<i64, i64>;
template <class T, class Comp = less<T>> using heap = priority_queue<T, vector<T>, Comp>;
template <class T> using hashset = unordered_set<T>;
template <class Key, class Value> using hashmap = unordered_map<Key, Value>;
using namespace __gnu_cxx;
#pragma endregion

#pragma region library


#ifndef modint_hpp
#define modint_hpp
#include <cassert>
#include <iostream>

template <int mod>
class modint
{
    int val;
public:
    static constexpr modint identity() noexcept { return 1; }
    constexpr modint() noexcept : val(0) {}
    template <class int_type, std::enable_if_t<std::is_integral<int_type>::value, std::nullptr_t> = nullptr>
    constexpr modint(int_type _val) noexcept : val((_val %= mod) < 0 ? mod + _val : _val) {}
    constexpr long long value() const noexcept { return val; }
    constexpr modint operator++(int) noexcept { modint t = *this; return ++val, t; }
    constexpr modint operator--(int) noexcept { modint t = *this; return --val, t; }
    constexpr modint &operator++() noexcept { return ++val, *this; }
    constexpr modint &operator--() noexcept { return --val, *this; }
    constexpr modint operator-() const noexcept { return modint(-val); }
    constexpr modint &operator+=(const modint &rhs) noexcept { return (val += rhs.val) < mod ? 0 : val -= mod, *this; }
    constexpr modint &operator-=(const modint &rhs) noexcept { return (val += mod - rhs.val) < mod ? 0 : val -= mod, *this; }
    constexpr modint &operator*=(const modint &rhs) noexcept { return val = (long long)val * rhs.val % mod, *this; }
    constexpr modint &operator/=(const modint &rhs) noexcept { return *this *= inverse(rhs); }
    constexpr modint operator+(const modint &rhs) const noexcept { return modint(*this) += rhs; }
    constexpr modint operator-(const modint &rhs) const noexcept { return modint(*this) -= rhs; }
    constexpr modint operator*(const modint &rhs) const noexcept { return modint(*this) *= rhs; }
    constexpr modint operator/(const modint &rhs) const noexcept { return modint(*this) /= rhs; }
    constexpr bool operator==(const modint &rhs) const noexcept { return val == rhs.val; }
    constexpr bool operator!=(const modint &rhs) const noexcept { return val != rhs.val; }
    constexpr bool operator!() const noexcept { return !val; }
    friend constexpr modint operator+(long long lhs, modint rhs) noexcept { return modint(lhs) + rhs; }
    friend constexpr modint operator-(long long lhs, modint rhs) noexcept { return modint(lhs) - rhs; }
    friend constexpr modint operator*(long long lhs, modint rhs) noexcept { return modint(lhs) * rhs; }
    friend constexpr modint operator/(long long lhs, modint rhs) noexcept { return modint(lhs) / rhs; }
    static constexpr modint inverse(const modint &rhs) noexcept
    {
        assert(rhs != 0);
        int a{mod}, b{rhs.val}, u{}, v{1}, t{};
        while(b) t = a / b, a ^= b ^= (a -= t * b) ^= b, u ^= v ^= (u -= t * v) ^= v;
        return {u};
    }
    static constexpr modint pow(modint rhs, long long e) noexcept
    {
        if(e < 0) e = e % (mod - 1) + mod - 1;
        modint res{1};
        while(e) { if(e & 1) res *= rhs; rhs *= rhs, e >>= 1; }
        return res;
    }
    friend std::ostream &operator<<(std::ostream &os, const modint &rhs) noexcept { return os << rhs.val; }
    friend std::istream &operator>>(std::istream &is, modint &rhs) noexcept { long long val; rhs = {(is >> val, val)}; return is; }
}; // class modint

template <>
class modint<2>
{
    bool val;
public:
    static constexpr modint identity() noexcept { return 1; }
    constexpr modint() noexcept : val(false) {}
    template <class int_type, std::enable_if_t<std::is_integral<int_type>::value, std::nullptr_t> = nullptr>
    constexpr modint(int_type _val) noexcept : val(_val & 1) {}
    constexpr operator bool() const noexcept { return val; }
    constexpr bool value() const noexcept { return val; }
    constexpr modint &operator+=(const modint &rhs) noexcept { return val ^= rhs.val, *this; }
    constexpr modint &operator-=(const modint &rhs) noexcept { return val ^= rhs.val, *this; }
    constexpr modint &operator*=(const modint &rhs) noexcept { return val &= rhs.val, *this; }
    constexpr modint &operator/=(const modint &rhs) noexcept { assert(rhs.val); return *this; }
    constexpr modint operator!() const noexcept { return !val; }
    constexpr modint operator-() const noexcept { return *this; }
    constexpr modint operator+(const modint &rhs) const noexcept { return val != rhs.val; }
    constexpr modint operator-(const modint &rhs) const noexcept { return val != rhs.val; }
    constexpr modint operator*(const modint &rhs) const noexcept { return val && rhs.val; }
    constexpr modint operator/(const modint &rhs) const noexcept { assert(rhs.val); return *this; }
    constexpr bool operator==(const modint &rhs) const noexcept { return val == rhs.val; }
    constexpr bool operator!=(const modint &rhs) const noexcept { return val != rhs.val; }
    friend constexpr modint operator+(long long lhs, modint rhs) noexcept { return lhs & 1 ? !rhs : rhs; }
    friend constexpr modint operator-(long long lhs, modint rhs) noexcept { return lhs & 1 ? !rhs : rhs; }
    friend constexpr modint operator*(long long lhs, modint rhs) noexcept { return lhs & 1 ? rhs : modint<2>{0}; }
    friend constexpr modint operator/(long long lhs, modint rhs) noexcept { assert(rhs.val); return lhs & 1 ? rhs : modint<2>{0}; }
    friend std::ostream &operator<<(std::ostream &os, const modint &rhs) noexcept { return os << rhs.val; }
    friend std::istream &operator>>(std::istream &is, modint &rhs) noexcept { long long val; rhs.val = (is >> val, val & 1); return is; }
}; // class modint specialization

#endif // modint_hpp

#pragma endregion

struct solver; template <class> void main_(); int main() { main_<solver>(); }
template <class solver> void main_()
{
    unsigned t = 1;
#ifdef LOCAL
    t = 1;
#endif
    // t = -1; // infinite loop
    // cin >> t; // case number given

    while(t--) solver();
}

struct solver
{

    struct point
    {
        int x,y;
        bool operator!=(const point &rhs) const
        {
            return x!=rhs.x or y!=rhs.y;
        }
    };

    i64 cprod(point p1, point p2)
    {
        return p1.x*p2.y-p2.x*p1.y;
    }

    struct comp
    {
        int cx, cy;
        comp(int x,int y) : cx(x),cy(y) {}
        comp(point p) : cx(p.x),cy(p.y) {}
        bool operator()(point p1, point p2) const
        {
            auto [x1,y1]=p1;
            auto [x2,y2]=p2;
            x1-=cx,x2-=cx;
            y1-=cy,y2-=cy;
            if(y1*y2<0)
            {
                return y1>0;
            }
            if(y1==0 and y2==0)
            {
                return x1>0;
            }
            return x1*y2-x2*y1>0;
        }

        int ccw(point p1, point p2) const
        {
            auto [x1,y1]=p1;
            auto [x2,y2]=p2;
            x1-=cx,x2-=cx;
            y1-=cy,y2-=cy;
            return x1*y2-x2*y1>0;
        }

        bool prll(point p1, point p2) const
        {
            auto [x1,y1]=p1;
            auto [x2,y2]=p2;
            x1-=cx,x2-=cx;
            y1-=cy,y2-=cy;
            if(x1*y2==x2*y1)
            {
                if(x1!=0) return x1*x2>0;
                assert(y1!=0 and y2!=0);
                return y1*y2>0;
            }
            return false;
        }
    };

    using mint=modint<1000000007>;

    solver()
    {
        const int n=read();
        vector<point> points(n);
        for(auto &[x,y]: points) cin>>x>>y;
        mint ans=0;
        for(int i=0; i<n; i++)
        {
            auto cent=points[i];
            vector<point> doub;
            for(int j=0; j<n; j++)
            {
                if(points[j]!=cent)
                {
                    doub.emplace_back(points[j]);
                }
            }
            sort(begin(doub), end(doub), comp(cent));
            const int m=doub.size();
            for(int j=0; j<m; j++)
            {
                doub.emplace_back(doub[j]);
                // dump(doub[j].x,doub[j].y);
            }
            for(int j=0,jj=0,jjj=0; j<m; j=jj)
            {
                while(jj<m and comp(cent).prll(doub[j],doub[jj]))
                {
                    jj++;
                }
                jjj=max(jjj,jj);
                while(comp(cent).ccw(doub[j],doub[jjj])>0) jjj++;
                int cnt=jjj-jj;
                mint tmp;
                for(int k=j; k<jj; k++)
                {
                    tmp+=cprod(cent,doub[k]);
                }
                ans+=tmp*cnt;
            }
        }
        cout<<ans<<endl;
    }
};