結果

問題 No.1584 Stones around Circle Pond
ユーザー hitonanodehitonanode
提出日時 2021-07-02 22:08:55
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 10,806 bytes
コンパイル時間 1,932 ms
コンパイル使用メモリ 157,944 KB
実行使用メモリ 13,756 KB
最終ジャッジ日時 2024-06-29 11:43:08
合計ジャッジ時間 14,536 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge4
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 2 ms
13,756 KB
testcase_01 AC 2 ms
6,816 KB
testcase_02 AC 2 ms
6,940 KB
testcase_03 WA -
testcase_04 WA -
testcase_05 WA -
testcase_06 AC 2 ms
6,944 KB
testcase_07 WA -
testcase_08 WA -
testcase_09 WA -
testcase_10 WA -
testcase_11 TLE -
testcase_12 WA -
testcase_13 WA -
testcase_14 WA -
testcase_15 WA -
testcase_16 AC 2 ms
6,940 KB
testcase_17 WA -
testcase_18 AC 85 ms
6,940 KB
testcase_19 AC 10 ms
6,944 KB
testcase_20 AC 361 ms
7,296 KB
testcase_21 AC 294 ms
6,940 KB
testcase_22 TLE -
testcase_23 AC 4 ms
6,940 KB
testcase_24 AC 159 ms
8,192 KB
testcase_25 AC 48 ms
6,944 KB
testcase_26 AC 2 ms
6,940 KB
testcase_27 AC 32 ms
6,944 KB
testcase_28 AC 115 ms
6,944 KB
testcase_29 AC 2 ms
6,940 KB
testcase_30 TLE -
testcase_31 -- -
testcase_32 -- -
testcase_33 -- -
testcase_34 -- -
testcase_35 -- -
testcase_36 -- -
testcase_37 -- -
testcase_38 -- -
testcase_39 -- -
testcase_40 -- -
testcase_41 -- -
testcase_42 -- -
testcase_43 -- -
testcase_44 -- -
testcase_45 -- -
testcase_46 -- -
testcase_47 -- -
testcase_48 -- -
testcase_49 -- -
testcase_50 -- -
testcase_51 -- -
testcase_52 -- -
testcase_53 -- -
testcase_54 -- -
testcase_55 -- -
testcase_56 -- -
testcase_57 -- -
testcase_58 -- -
testcase_59 -- -
testcase_60 -- -
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

diff # 

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <deque>
#include <forward_list>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iostream>
#include <limits>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <tuple>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
template <typename T, typename V>
void ndarray(vector<T>& vec, const V& val, int len) { vec.assign(len, val); }
template <typename T, typename V, typename... Args> void ndarray(vector<T>& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); }
template <typename T> bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; }
template <typename T> bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; }
int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); }
template <typename T1, typename T2> pair<T1, T2> operator+(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first + r.first, l.second + r.second); }
template <typename T1, typename T2> pair<T1, T2> operator-(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first - r.first, l.second - r.second); }
template <typename T> vector<T> sort_unique(vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; }
template <typename T> int arglb(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); }
template <typename T> int argub(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); }
template <typename T> istream &operator>>(istream &is, vector<T> &vec) { for (auto &v : vec) is >> v; return is; }
template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <typename T, size_t sz> ostream &operator<<(ostream &os, const array<T, sz> &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; }
#if __cplusplus >= 201703L
template <typename... T> istream &operator>>(istream &is, tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; }
template <typename... T> ostream &operator<<(ostream &os, const tuple<T...> &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; }
#endif
template <typename T> ostream &operator<<(ostream &os, const deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <typename T> ostream &operator<<(ostream &os, const set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T, typename TH> ostream &operator<<(ostream &os, const unordered_set<T, TH> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T> ostream &operator<<(ostream &os, const unordered_multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &pa) { os << '(' << pa.first << ',' << pa.second << ')'; return os; }
template <typename TK, typename TV> ostream &operator<<(ostream &os, const map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
template <typename TK, typename TV, typename TH> ostream &operator<<(ostream &os, const unordered_map<TK, TV, TH> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
#ifdef HITONANODE_LOCAL
const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m";
#define dbg(x) cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << endl
#define dbgif(cond, x) ((cond) ? cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << endl : cerr)
#else
#define dbg(x) (x)
#define dbgif(cond, x) 0
#endif

// Maximize cx s.t. Ax <= b, x >= 0
// Implementation idea: https://kopricky.github.io/code/Computation_Advanced/simplex.html
// Refer to https://hitonanode.github.io/cplib-cpp/combinatorial_opt/simplex.hpp
template <typename Float = double, int DEPS = 30, bool Randomize = true> struct Simplex {
    const Float EPS = Float(1.0) / (1LL << DEPS);
    int N, M;
    std::vector<int> shuffle_idx;
    std::vector<int> idx;
    std::vector<std::vector<Float>> mat;
    int i_ch, j_ch;

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

        mat.assign(M + 2, std::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);
        std::iota(idx.begin(), idx.end(), 0);
    }

    inline Float abs_(Float x) noexcept { return x > -x ? x : -x; }
    void _solve() {
        std::vector<int> jupd;
        for (nb_iter = 0, j_ch = N;; nb_iter++) {
            if (i_ch < M) {
                std::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(std::vector<std::vector<Float>> A, std::vector<Float> b, std::vector<Float> c) {
        is_infty = infeasible = false;

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

            std::vector<std::pair<std::vector<Float>, Float>> Abs;
            for (unsigned i = 0; i < A.size(); i++) Abs.emplace_back(A[i], b[i]);
            std::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());
            std::iota(shuffle_idx.begin(), shuffle_idx.end(), 0);
            std::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;
    std::vector<Float> x;
    Float ans;
};

void No() {
    puts("No");
    exit(0);
}
int main() {
    int N, L;
    cin >> N >> L;
    vector<int> d(N);
    cin >> d;
    REP(i, N) d.push_back(d[i] + L);
    vector<int> Bin(N * 2);
    cin >> Bin;

    using Float = long double;
    vector<vector<Float>> A;
    vector<Float> b, c(N * 2);
    REP(i, N * 2) {
        vector<Float> a(N * 2);
        a[i] = -1;
        A.push_back(a);
        b.push_back(0);
    }
    dbg(d);
    REP(i, N * 2) {
        vector<Float> a(N * 2);
        REP(j, N * 2) {
            int t = abs(d[j] - d[i]);
            a[j] = min(t, L * 2 - t);
        }
        A.push_back(a);
        b.push_back(Bin[i]);
        for (auto &x : a) x = -x;
        A.push_back(a);
        b.push_back(-Bin[i]);
    }

    Simplex<Float, 40, false> simplex(A, b, c);
    dbg(simplex.infeasible);
    dbg(simplex.x);
    if (simplex.infeasible) No();
    for (auto x : simplex.x) {
        if (abs(x - llround(x)) > 1e-10) No();
    }
    puts("Yes");
}
0