#888593 (C++17) No.453 製薬会社

提出ソース
結果

問題	No.453 製薬会社
ユーザー	T101010101
提出日時	2023-07-07 22:17:30
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	2 ms / 2,000 ms
コード長	15,656 bytes
コンパイル時間	4,521 ms
コンパイル使用メモリ	291,024 KB
実行使用メモリ	4,380 KB
最終ジャッジ日時	2023-09-28 23:39:43
合計ジャッジ時間	5,150 ms
ジャッジサーバーID （参考情報）	judge14 / judge11
このコードへのチャレンジ
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テストケース

テストケース表示
入力	結果	実行時間実行使用メモリ
testcase_00	AC	1 ms 4,380 KB
testcase_01	AC	2 ms 4,380 KB
testcase_02	AC	2 ms 4,376 KB
testcase_03	AC	2 ms 4,380 KB
testcase_04	AC	2 ms 4,380 KB
testcase_05	AC	1 ms 4,376 KB
testcase_06	AC	2 ms 4,380 KB
testcase_07	AC	2 ms 4,380 KB
testcase_08	AC	2 ms 4,380 KB
testcase_09	AC	2 ms 4,380 KB
testcase_10	AC	2 ms 4,376 KB
testcase_11	AC	1 ms 4,380 KB
testcase_12	AC	2 ms 4,380 KB
権限があれば一括ダウンロードができます
ソースコード

raw source code
#pragma region Macros

// #pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,fma,abm,mmx,avx,avx2")

#include <bits/extc++.h>
// #include <atcoder/all>
// using namespace atcoder;
using namespace std;
using namespace __gnu_pbds;

// #include <boost/multiprecision/cpp_dec_float.hpp>
// #include <boost/multiprecision/cpp_int.hpp>
// namespace mp = boost::multiprecision;
// using Bint = mp::cpp_int;
// using Bdouble = mp::number<mp::cpp_dec_float<128>>;

#define TO_STRING(var) # var
#define pb emplace_back
#define int ll
#define endl '\n'
#define sqrt __builtin_sqrtl

using ll = long long;
using ld = long double;
const ld PI = acos(-1);
const int INF = 1 << 30;
const ll INFL = 1LL << 61;
const int MOD = 998244353;
// const int MOD = 1000000007;

const ld EPS = 1e-10;
const bool equals(ld a, ld b) { return fabs((a) - (b)) < EPS; }

const vector<int> dx = {0, 1, 0, -1, 1, 1, -1, -1}; // → ↓ ← ↑ ↘ ↙ ↖ ↗
const vector<int> dy = {1, 0, -1, 0, 1, -1, -1, 1};

struct Edge {
    int from, to;
    int cost;
    Edge(int to, int cost) : from(-1), to(to), cost(cost) {}
    Edge(int from, int to, int cost) : from(from), to(to), cost(cost) {}
    Edge &operator=(const int &x) {
        to = x;
        return *this;
    }
};

__attribute__((constructor))
void constructor() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout << fixed << setprecision(12);
}

struct custom_hash {
    static uint64_t splitmix64(uint64_t x) {
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }

    size_t operator()(uint64_t x) const {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x + FIXED_RANDOM);
    }
};

int POW(int x, int n) {
    __int128_t ret = 1;
    // if (ret >= INFL) return INFL;
    if (n < 0) { cout << "error" << endl; return 0; }
    else if (x == 1 or n == 0) ret = 1;
    else if (x == -1 && n % 2 == 0) ret = 1; 
    else if (x == -1) ret = -1; 
    else if (n % 2 == 0) ret = POW(x * x, n / 2);
    else ret = x * POW(x, n - 1);

    if (ret > 8e18) ret = 0;
    return ret;
}
int floor(int x, int y) { return (x > 0 ? x / y : (x - y + 1) / y); }
int ceil(int x, int y) { return (x > 0 ? (x + y - 1) / y : x / y); }
ll per(int x, int y) {
    if (y == 0) {
        cout << "error" << endl;
        return INFL;
    }
    if (x >= 0 && y > 0) return x / y;
    if (x >= 0 && y < 0) return x / y - (x % y < 0);
    if (x < 0 && y < 0) return x / y + (x % y < 0);
    // if (x < 0 && y > 0) 
    return x / y - (x % y < 0);
}
ll mod(int x, int y) {
    if (y == 0) {
        cout << "error" << endl;
        return INFL;
    }
    if (x >= 0 && y > 0) return x % y;
    if (x >= 0 && y < 0) return x % y;
    if (x < 0 && y < 0) {
        __int128_t ret = x % y;
        ret += (__int128_t)abs(y) * INFL;
        ret %= abs(y);
        return ret;
    }
    // if (x < 0 && y > 0) {
        __int128_t ret = x % y;
        ret += (__int128_t)abs(y) * INFL;
        ret %= abs(y);
        return ret;
    // }
}
int modf(ld x) {
    if (equals(x, 0)) return 0;
	else if (x < 0) return ceill(x);
	else return floorl(x);
}

template <class T> bool chmax(T &a, const T& b) {
    if (a < b) { a = b; return true; }
    return false;
}
template <class T> bool chmin(T &a, const T& b) {
    if (a > b) { a = b; return true; }
    return false;
}

int countl_zero(int N) { return __builtin_clzll(N); }
int countl_one(int N) {
    int ret = 0; while (N % 2) { N /= 2; ret++; }
    return ret;
}
int countr_zero(int N) { return __builtin_ctzll(N); }
int countr_one(int N) {
    int ret = 0, k = 63 - __builtin_clzll(N);
    while (k != -1 && (N & (1LL << k))) { k--; ret++; }
    return ret;
}
int popcount(int N) { return __builtin_popcountll(N); }
int unpopcount(int N) { return 64 - __builtin_clzll(N) - __builtin_popcountll(N); }

int top_bit(int N) { return 63 - __builtin_clzll(N);} // 2^kの位
int bot_bit(int N) { return __builtin_ctz(N);} // 2^kの位
int MSB(int N) { return 1 << (63 - __builtin_clzll(N)); } // mask

int bit_width(int N) { return 64 - __builtin_clzll(N); } // 桁数
int ceil_log2(int N) { return 63 - __builtin_clzll(N); }
int bit_floor(int N) { return 1 << (63 - __builtin_clzll(N)); }
int floor_log2(int N) { return 64 - __builtin_clzll(N-1); }
int bit_ceil(int N) { return 1 << (64 - __builtin_clzll(N-1)) - (N==1); }

class UnionFind {
public:
	UnionFind() = default;
    UnionFind(int N) : par(N), sz(N, 1) {
        iota(par.begin(), par.end(), 0);
    }

	int root(int x) {
		if (par[x] == x) return x;
		return (par[x] = root(par[x]));
	}

	bool unite(int x, int y) {
		int rx = root(x);
		int ry = root(y);

        if (rx == ry) return false;
		if (sz[rx] < sz[ry]) swap(rx, ry);

		sz[rx] += sz[ry];
		par[ry] = rx;

        return true;
	}

	bool issame(int x, int y) { return (root(x) == root(y)); }
	int size(int x) { return sz[root(x)]; }

    vector<vector<int>> groups(int N) {
        vector<vector<int>> G(N);
        for (int x = 0; x < N; x++) {
            G[root(x)].push_back(x);
        }
		G.erase(
            remove_if(G.begin(), G.end(),
                [&](const vector<int>& V) { return V.empty(); }),
                    G.end());
        return G;
    }

private:
	vector<int> par;
	vector<int> sz;
};

template<int mod> class Modint{
public:
    int val = 0;
    Modint(int x = 0) { while (x < 0) x += mod; val = x % mod; }
    Modint(const Modint &r) { val = r.val; }

    Modint operator -() { return Modint(-val); } // 単項
    Modint operator +(const Modint &r) { return Modint(*this) += r; }
    Modint operator +(const int &q) { Modint r(q); return Modint(*this) += r; }
    Modint operator -(const Modint &r) { return Modint(*this) -= r; }
    Modint operator -(const int &q) { Modint r(q); return Modint(*this) -= r; }
    Modint operator *(const Modint &r) { return Modint(*this) *= r; }
    Modint operator *(const int &q) { Modint r(q); return Modint(*this) *= r; }
    Modint operator /(const Modint &r) { return Modint(*this) /= r; }
    Modint operator /(const int &q) { Modint r(q); return Modint(*this) /= r; }
    
    Modint& operator ++() { val++; if (val >= mod) val -= mod; return *this; } // 前置
    Modint operator ++(signed) { ++*this; return *this; } // 後置
    Modint& operator --() { val--; if (val < 0) val += mod; return *this; }
    Modint operator --(signed) { --*this; return *this; }
    Modint &operator +=(const Modint &r) { val += r.val; if (val >= mod) val -= mod; return *this; }
    Modint &operator +=(const int &q) { Modint r(q); val += r.val; if (val >= mod) val -= mod; return *this; }
    Modint &operator -=(const Modint &r) { if (val < r.val) val += mod; val -= r.val; return *this; }
    Modint &operator -=(const int &q) { Modint r(q);  if (val < r.val) val += mod; val -= r.val; return *this; }
    Modint &operator *=(const Modint &r) { val = val * r.val % mod; return *this; }
    Modint &operator *=(const int &q) { Modint r(q); val = val * r.val % mod; return *this; }
    Modint &operator /=(const Modint &r) {
        int a = r.val, b = mod, u = 1, v = 0;
        while (b) {int t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v);}
        val = val * u % mod; if (val < 0) val += mod;
        return *this;
    }
    Modint &operator /=(const int &q) {
        Modint r(q); int a = r.val, b = mod, u = 1, v = 0;
        while (b) {int t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v);}
        val = val * u % mod; if (val < 0) val += mod;
        return *this;
    }

    bool operator ==(const Modint& r) { return this -> val == r.val; }
    bool operator <(const Modint& r) { return this -> val < r.val; }
    bool operator !=(const Modint& r) { return this -> val != r.val; }
};

using mint = Modint<MOD>;

istream &operator >>(istream &is, mint& x) {
    int t; is >> t;
    x = t;
    return (is);
}
ostream &operator <<(ostream &os, const mint& x) {
    return os << x.val;
}
mint modpow(const mint &x, int n) {
    if (n == 0) return 1;
    mint t = modpow(x, n / 2);
    t = t * t;
    if (n & 1) t = t * x;
    return t;
}

int modpow(__int128_t x, int n, int mod) {
    __int128_t ret = 1;
    while (n > 0) {
        if (n % 2 == 1) ret = ret * x % mod;
        x = x * x % mod;
        n /= 2;
    }
    return ret;
}

int modinv(__int128_t x, int mod) {
    if (x == 1) return 1;
    return mod - modinv(mod % x, mod) * (mod / x) % mod;
}

istream &operator >>(istream &is, __int128_t& x) {
    string S; is >> S;
    __int128_t ret = 0;
    int f = 1;
    if (S[0] == '-') f = -1; 
    for (int i = 0; i < S.length(); i++)
        if ('0' <= S[i] && S[i] <= '9')
            ret = ret * 10 + S[i] - '0';
    x = ret * f;
    return (is);
}
ostream &operator <<(ostream &os, __int128_t x) {
    ostream::sentry s(os);
    if (s) {
        __uint128_t tmp = x < 0 ? -x : x;
        char buffer[128];
        char *d = end(buffer);

        do {
            --d;
            *d = "0123456789"[tmp % 10];
            tmp /= 10;
        } while (tmp != 0);

        if (x < 0) {
            --d;
            *d = '-';
        }
        int len = end(buffer) - d;

        if (os.rdbuf()->sputn(d, len) != len) {
            os.setstate(ios_base::badbit);
        }
    }
    return os;
}

__int128_t stoll(string &S) {
    __int128_t ret = 0;
    int f = 1;
    if (S[0] == '-') f = -1; 
    for (int i = 0; i < S.length(); i++)
        if ('0' <= S[i] && S[i] <= '9')
            ret = ret * 10 + S[i] - '0';
    return ret * f;
}

string to_string(__int128_t x) {
    string ret = "";
    if (x < 0) {
        ret += "-";
        x *= -1;
    }
    while (x) {
        ret += (char)('0' + x % 10);
        x /= 10;
    }
    reverse(ret.begin(), ret.end());
    return ret;
}
string to_string(char c) {
    string s = {c};
    return s;
}

vector<mint> _fac, _finv, _inv;
void COMinit(int N) {
    _fac.resize(N + 1);
    _finv.resize(N + 1);
    _inv.resize(N + 1);
    _fac[0] = _fac[1] = 1;
    _finv[0] = _finv[1] = 1;
    _inv[1] = 1;
    for (int i = 2; i <= N; i++) {
        _fac[i] = _fac[i-1] * mint(i);
        _inv[i] = -_inv[MOD % i] * mint(MOD / i);
        _finv[i] = _finv[i - 1] * _inv[i];
    }
}

mint COM(int N, int K) {
    if (N < K) return 0;
    if (N < 0 or K < 0) return 0;
    return _fac[N] * _finv[K] * _finv[N - K];
}

#pragma endregion

template <typename Float = double, int DEPS = 30, bool Randomize = true> struct Simplex {
    const Float EPS = Float(1.0) / (1LL << DEPS);
    int N, M;
    vector<int> shuffle_idx;
    vector<int> idx;
    vector<vector<Float>> mat;
    int i_ch, j_ch;

private:
    void _initialize(const vector<vector<Float>> &A, const vector<Float> &b,
                     const vector<Float> &c) {
        N = c.size(), M = A.size();

        mat.assign(M + 2, vector<Float>(N + 2));
        i_ch = M;
        for (int i = 0; i < M; i++) {
            for (int j = 0; j < N; j++) mat[i][j] = -A[i][j];
            mat[i][N] = 1, mat[i][N + 1] = b[i];
            if (mat[i_ch][N + 1] > mat[i][N + 1]) i_ch = i;
        }
        for (int j = 0; j < N; j++) mat[M][j] = c[j];
        mat[M + 1][N] = -1;

        idx.resize(N + M + 1);
        iota(idx.begin(), idx.end(), 0);
    }

    inline Float abs_(Float x) noexcept { return x > -x ? x : -x; }
    void _solve() {
        vector<int> jupd;
        for (nb_iter = 0, j_ch = N;; nb_iter++) {
            if (i_ch < M) {
                swap(idx[j_ch], idx[i_ch + N + 1]);
                mat[i_ch][j_ch] = Float(1) / mat[i_ch][j_ch];
                jupd.clear();
                for (int j = 0; j < N + 2; j++) {
                    if (j != j_ch) {
                        mat[i_ch][j] *= -mat[i_ch][j_ch];
                        if (abs_(mat[i_ch][j]) > EPS) jupd.push_back(j);
                    }
                }
                for (int i = 0; i < M + 2; i++) {
                    if (abs_(mat[i][j_ch]) < EPS or i == i_ch) continue;
                    for (auto j : jupd) mat[i][j] += mat[i][j_ch] * mat[i_ch][j];
                    mat[i][j_ch] *= mat[i_ch][j_ch];
                }
            }

            j_ch = -1;
            for (int j = 0; j < N + 1; j++) {
                if (j_ch < 0 or idx[j_ch] > idx[j]) {
                    if (mat[M + 1][j] > EPS or (abs_(mat[M + 1][j]) < EPS and mat[M][j] > EPS))
                        j_ch = j;
                }
            }
            if (j_ch < 0) break;

            i_ch = -1;
            for (int i = 0; i < M; i++) {
                if (mat[i][j_ch] < -EPS) {
                    if (i_ch < 0) {
                        i_ch = i;
                    } else if (mat[i_ch][N + 1] / mat[i_ch][j_ch] - mat[i][N + 1] / mat[i][j_ch] <
                               -EPS) {
                        i_ch = i;
                    } else if (mat[i_ch][N + 1] / mat[i_ch][j_ch] - mat[i][N + 1] / mat[i][j_ch] <
                                   EPS and
                               idx[i_ch] > idx[i]) {
                        i_ch = i;
                    }
                }
            }
            if (i_ch < 0) {
                is_infty = true;
                break;
            }
        }
        if (mat[M + 1][N + 1] < -EPS) {
            infeasible = true;
            return;
        }
        x.assign(N, 0);
        for (int i = 0; i < M; i++) {
            if (idx[N + 1 + i] < N) x[idx[N + 1 + i]] = mat[i][N + 1];
        }
        ans = mat[M][N + 1];
    }

public:
    Simplex(vector<vector<Float>> A, vector<Float> b, vector<Float> c) {
        is_infty = infeasible = false;

        if (Randomize) {
            mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

            vector<pair<vector<Float>, Float>> Abs;
            for (unsigned i = 0; i < A.size(); i++) Abs.emplace_back(A[i], b[i]);
            shuffle(Abs.begin(), Abs.end(), rng);
            A.clear(), b.clear();
            for (auto &&Ab : Abs) A.emplace_back(Ab.first), b.emplace_back(Ab.second);

            shuffle_idx.resize(c.size());
            iota(shuffle_idx.begin(), shuffle_idx.end(), 0);
            shuffle(shuffle_idx.begin(), shuffle_idx.end(), rng);
            auto Atmp = A;
            auto ctmp = c;
            for (unsigned i = 0; i < A.size(); i++) {
                for (unsigned j = 0; j < A[i].size(); j++) A[i][j] = Atmp[i][shuffle_idx[j]];
            }
            for (unsigned j = 0; j < c.size(); j++) c[j] = ctmp[shuffle_idx[j]];
        }

        _initialize(A, b, c);
        _solve();

        if (Randomize and x.size() == c.size()) {
            auto xtmp = x;
            for (unsigned j = 0; j < c.size(); j++) x[shuffle_idx[j]] = xtmp[j];
        }
    }
    unsigned nb_iter;
    bool is_infty;
    bool infeasible;
    vector<Float> x;
    Float ans;

    static void
    dual(vector<vector<Float>> &A, vector<Float> &b, vector<Float> &c) {
        const int n = b.size(), m = c.size();
        vector<vector<Float>> At(m, vector<Float>(n));
        for (int i = 0; i < n; ++i) {
            for (int j = 0; j < m; ++j) At[j][i] = -A[i][j];
        }
        A = At;
        for (int i = 0; i < n; ++i) b[i] = -b[i];
        for (int j = 0; j < m; ++j) c[j] = -c[j];
        b.swap(c);
    }
};

signed main() {
    int N = 2, M = 2;
    double C, D;
    cin >> C >> D;
    vector<double> c = {1000, 2000};
    vector<double> b = {C, D};

    vector<vector<double>> A = {
        {3. / 4., 2. / 7.}, 
        {1. / 4., 5. / 7.}
    };

    Simplex sp(A, b, c);
    cout << sp.ans << endl;
}
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結果

テストケース

ソースコード
