#563241 (C++17) No.1136 Four Points Tour

提出ソース

結果

問題	No.1136 Four Points Tour
ユーザー	iiljj
提出日時	2020-10-07 21:23:51
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	12,106 bytes
コンパイル時間	2,018 ms
コンパイル使用メモリ	204,256 KB
実行使用メモリ	5,376 KB
最終ジャッジ日時	2024-07-20 04:07:52
合計ジャッジ時間	3,251 ms
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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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 5,248 KB
testcase_01	AC	2 ms 5,376 KB
testcase_02	AC	2 ms 5,376 KB
testcase_03	AC	1 ms 5,376 KB
testcase_04	AC	2 ms 5,376 KB
testcase_05	AC	2 ms 5,376 KB
testcase_06	AC	1 ms 5,376 KB
testcase_07	AC	2 ms 5,376 KB
testcase_08	AC	2 ms 5,376 KB
testcase_09	AC	2 ms 5,376 KB
testcase_10	AC	2 ms 5,376 KB
testcase_11	AC	2 ms 5,376 KB
testcase_12	AC	1 ms 5,376 KB
testcase_13	AC	2 ms 5,376 KB
testcase_14	AC	2 ms 5,376 KB
testcase_15	AC	1 ms 5,376 KB
testcase_16	AC	1 ms 5,376 KB
testcase_17	AC	2 ms 5,376 KB
testcase_18	AC	1 ms 5,376 KB
testcase_19	AC	2 ms 5,376 KB
testcase_20	AC	2 ms 5,376 KB
testcase_21	AC	2 ms 5,376 KB
01_Sample03_evil.txt	AC	2 ms 5,376 KB
04_Rnd_large_evil1.txt	AC	1 ms 5,376 KB
04_Rnd_large_evil2.txt	AC	2 ms 5,376 KB
04_Rnd_large_evil3.txt	AC	1 ms 5,376 KB
04_Rnd_large_evil4.txt	AC	2 ms 5,376 KB
04_Rnd_large_evil5.txt	AC	2 ms 5,376 KB
04_Rnd_large_evil6.txt	AC	2 ms 5,376 KB
04_Rnd_large_evil7.txt	AC	2 ms 5,376 KB
04_Rnd_large_evil8.txt	AC	2 ms 5,376 KB
04_Rnd_large_evil9.txt	AC	1 ms 5,376 KB
04_Rnd_large_evil10.txt	AC	2 ms 5,376 KB
05_Rnd_huge_evil1.txt	AC	2 ms 5,376 KB
05_Rnd_huge_evil2.txt	AC	1 ms 5,376 KB
05_Rnd_huge_evil3.txt	AC	1 ms 5,376 KB
05_Rnd_huge_evil4.txt	AC	2 ms 5,376 KB
05_Rnd_huge_evil5.txt	AC	2 ms 5,376 KB
05_Rnd_huge_evil6.txt	AC	1 ms 5,376 KB
05_Rnd_huge_evil7.txt	AC	1 ms 5,376 KB
99_evil_01.txt	AC	1 ms 5,376 KB

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ソースコード

raw source code

/* #region Head */

// #define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
using namespace std;

using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pll = pair<ll, ll>;
template <class T> using vc = vector<T>;
template <class T> using vvc = vc<vc<T>>;
using vll = vc<ll>;
using vvll = vvc<ll>;
using vld = vc<ld>;
using vvld = vvc<ld>;
using vs = vc<string>;
using vvs = vvc<string>;
template <class T, class U> using um = unordered_map<T, U>;
template <class T> using pq = priority_queue<T>;
template <class T> using pqa = priority_queue<T, vc<T>, greater<T>>;
template <class T> using us = unordered_set<T>;

#define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i))
#define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i))
#define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i))
#define REPD(i, m, n, d) for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d))
#define REPMD(i, m, n, d) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d))
#define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++)
#define ALL(x) begin(x), end(x)
#define SIZE(x) ((ll)(x).size())
#define PERM(c)                                                                                                        \
    sort(ALL(c));                                                                                                      \
    for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c)))
#define UNIQ(v) v.erase(unique(ALL(v)), v.end());

#define endl '\n'
#define sqrt sqrtl
#define floor floorl
#define log2 log2l

constexpr ll INF = 1'010'000'000'000'000'017LL;
constexpr int IINF = 1'000'000'007LL;
constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7
// constexpr ll MOD = 998244353;
constexpr ld EPS = 1e-12;
constexpr ld PI = 3.14159265358979323846;

template <typename T> istream &operator>>(istream &is, vc<T> &vec) { // vector 入力
    for (T &x : vec) is >> x;
    return is;
}
template <typename T> ostream &operator<<(ostream &os, vc<T> &vec) { // vector 出力 (for dump)
    os << "{";
    REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", ");
    os << "}";
    return os;
}
template <typename T> ostream &operator>>(ostream &os, vc<T> &vec) { // vector 出力 (inline)
    REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " ");
    return os;
}

template <typename T, typename U> istream &operator>>(istream &is, pair<T, U> &pair_var) { // pair 入力
    is >> pair_var.first >> pair_var.second;
    return is;
}
template <typename T, typename U> ostream &operator<<(ostream &os, pair<T, U> &pair_var) { // pair 出力
    os << "(" << pair_var.first << ", " << pair_var.second << ")";
    return os;
}

// map, um, set, us 出力
template <class T> ostream &out_iter(ostream &os, T &map_var) {
    os << "{";
    REPI(itr, map_var) {
        os << *itr;
        auto itrcp = itr;
        if (++itrcp != map_var.end()) os << ", ";
    }
    return os << "}";
}
template <typename T, typename U> ostream &operator<<(ostream &os, map<T, U> &map_var) { return out_iter(os, map_var); }
template <typename T, typename U> ostream &operator<<(ostream &os, um<T, U> &map_var) {
    os << "{";
    REPI(itr, map_var) {
        auto [key, value] = *itr;
        os << "(" << key << ", " << value << ")";
        auto itrcp = itr;
        if (++itrcp != map_var.end()) os << ", ";
    }
    os << "}";
    return os;
}
template <typename T> ostream &operator<<(ostream &os, set<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, us<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, pq<T> &pq_var) {
    pq<T> pq_cp(pq_var);
    os << "{";
    if (!pq_cp.empty()) {
        os << pq_cp.top(), pq_cp.pop();
        while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop();
    }
    return os << "}";
}

// dump
#define DUMPOUT cerr
void dump_func() { DUMPOUT << endl; }
template <class Head, class... Tail> void dump_func(Head &&head, Tail &&... tail) {
    DUMPOUT << head;
    if (sizeof...(Tail) > 0) DUMPOUT << ", ";
    dump_func(move(tail)...);
}

// chmax (更新「される」かもしれない値が前)
template <typename T, typename U, typename Comp = less<>> bool chmax(T &xmax, const U &x, Comp comp = {}) {
    if (comp(xmax, x)) {
        xmax = x;
        return true;
    }
    return false;
}

// chmin (更新「される」かもしれない値が前)
template <typename T, typename U, typename Comp = less<>> bool chmin(T &xmin, const U &x, Comp comp = {}) {
    if (comp(x, xmin)) {
        xmin = x;
        return true;
    }
    return false;
}

// ローカル用
#define DEBUG_

#ifdef DEBUG_
#define DEB
#define dump(...)                                                                                                      \
    DUMPOUT << "  " << string(#__VA_ARGS__) << ": "                                                                    \
            << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl                                        \
            << "    ",                                                                                                 \
        dump_func(__VA_ARGS__)
#else
#define DEB if (false)
#define dump(...)
#endif

#define VAR(type, ...)                                                                                                 \
    type __VA_ARGS__;                                                                                                  \
    cin >> __VA_ARGS__;

template <typename T> istream &operator,(istream &is, T &rhs) { return is >> rhs; }
template <typename T> ostream &operator,(ostream &os, const T &rhs) { return os << ' ' << rhs; }

struct AtCoderInitialize {
    static constexpr int IOS_PREC = 15;
    static constexpr bool AUTOFLUSH = false;
    AtCoderInitialize() {
        ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
        cout << fixed << setprecision(IOS_PREC);
        if (AUTOFLUSH) cout << unitbuf;
    }
} ATCODER_INITIALIZE;

void Yn(bool p) { cout << (p ? "Yes" : "No") << endl; }
void YN(bool p) { cout << (p ? "YES" : "NO") << endl; }

/* #endregion */

// #include <atcoder/all>
// using namespace atcoder;

/* #region mint */

// 自動で MOD を取る整数
struct mint {
    ll x;
    mint(ll x = 0) : x((x % MOD + MOD) % MOD) {}
    mint &operator+=(const mint a) {
        if ((x += a.x) >= MOD) x -= MOD;
        return *this;
    }
    mint &operator-=(const mint a) {
        if ((x += MOD - a.x) >= MOD) x -= MOD;
        return *this;
    }
    mint &operator*=(const mint a) {
        (x *= a.x) %= MOD;
        return *this;
    }
    mint operator+(const mint a) const {
        mint res(*this);
        return res += a;
    }
    mint operator-(const mint a) const {
        mint res(*this);
        return res -= a;
    }
    mint operator*(const mint a) const {
        mint res(*this);
        return res *= a;
    }
    // O(log(t))
    mint pow(ll t) const {
        if (!t) return 1;
        mint a = pow(t >> 1); // ⌊t/2⌋ 乗
        a *= a;               // ⌊t/2⌋*2 乗
        if (t & 1)            // ⌊t/2⌋*2 == t-1 のとき
            a *= *this;       // ⌊t/2⌋*2+1 乗 => t 乗
        return a;
    }

    // for prime mod
    mint inv() const {
        return pow(MOD - 2); // オイラーの定理から， x^(-1) ≡ x^(p-2)
    }
    mint &operator/=(const mint a) { return (*this) *= a.inv(); }
    mint operator/(const mint a) const {
        mint res(*this);
        return res /= a;
    }
    bool operator==(const mint a) const { return this->x == a.x; }
    bool operator==(const ll a) const { return this->x == a; }

    // mint 入力
    friend istream &operator>>(istream &is, mint &x) {
        is >> x.x;
        return is;
    }

    // mint 出力
    friend ostream &operator<<(ostream &os, mint x) {
        os << x.x;
        return os;
    }
};

/* #endregion */

/* #region Mat */

// 行列，==, !=, [] あたりは array と一緒
template <class Num, size_t H, size_t W> class Mat : public array<array<Num, W>, H> {
  public:
    Mat<Num, H, W>() : array<array<Num, W>, H>() { fill(0); }
    Mat<Num, H, W>(const Num value) : array<array<Num, W>, H>() { fill(value); }
    Mat<Num, H, W>(std::initializer_list<array<Num, W>> init) : array<array<Num, W>, H>() {
        int i = 0;
        for (auto iter = init.begin(); iter != init.end(); ++iter) (*this)[i++] = array<Num, W>(*iter);
    }

    // 行列に別の行列を足す
    Mat<Num, H, W> &operator+=(const Mat<Num, H, W> &another) {
        REP(i, 0, H) REP(j, 0, W)(*this)[i][j] += another[i][j];
        return *this;
    }

    // 行列から別の行列を引く
    Mat<Num, H, W> &operator-=(const Mat<Num, H, W> &another) {
        REP(i, 0, H) REP(j, 0, W)(*this)[i][j] -= another[i][j];
        return *this;
    }

    // 行列に別の行列を右から掛ける
    // template <size_t AW> Mat<Num, H, AW> &operator*=(const Mat<Num, W, AW> &another) {
    //     Mat<Num, H, AW> ret = {};
    //     REP(i, 0, H) REP(j, 0, AW) REP(k, 0, W) ret[i][j] += (*this)[i][k] * another[k][j];
    //     *this = ret;
    //     return *this;
    // }
    // 更新する場合，行列サイズが変わらない乗算のみ許容する
    Mat<Num, H, W> &operator*=(const Mat<Num, W, W> &another) {
        Mat<Num, H, W> ret = (*this) * another;
        *this = ret;
        return *this;
    }

    // 行列に別の行列を足す
    Mat<Num, H, W> operator+(const Mat<Num, H, W> &another) const {
        Mat<Num, H, W> ret(*this);
        return ret += another;
    }

    // 行列から別の行列を引く
    Mat<Num, H, W> operator-(const Mat<Num, H, W> &another) const {
        Mat<Num, H, W> ret(*this);
        return ret -= another;
    }

    // 行列に別の行列を右から掛ける
    template <size_t AW> Mat<Num, H, AW> operator*(const Mat<Num, W, AW> &another) const {
        // Mat<Num, H, AW> ret(*this);
        // return ret *= another;
        Mat<Num, H, AW> ret = {};
        REP(i, 0, H) REP(j, 0, AW) REP(k, 0, W) ret[i][j] += (*this)[i][k] * another[k][j];
        return ret;
    }

    // 行列の n 乗を計算する
    Mat<Num, H, W> pow(ll n) const {
        assert(H == W);
        Mat<Num, H, W> ret = {};
        Mat<Num, H, W> a(*this);
        REP(i, 0, H) ret[i][i] = 1;
        while (n) {
            if (n & 1) ret = a * ret;
            a = a * a, n >>= 1;
        }
        return ret;
    }

    // 列和が 1 になるよう正規化する
    Mat<Num, H, W> norm() const {
        array<Num, W> s = {};
        Mat<Num, H, W> a(*this);
        REP(i, 0, H) REP(j, 0, W) s[j] += a[i][j];
        REP(i, 0, H) REP(j, 0, W) a[i][j] /= s[j];
        return a;
    }

    // 行列の n 乗を計算する（列和が常に 1 になるよう正規化する）
    Mat<Num, H, W> pow_norm(ll n) const {
        assert(H == W);
        Mat<Num, H, W> ret = {};
        Mat<Num, H, W> a(*this);
        REP(i, 0, H) ret[i][i] = 1;
        while (n) {
            if (n & 1) ret = (a * ret).norm();
            a = (a * a).norm(), n >>= 1;
        }
        return ret;
    }

    template <class... T> Mat<Num, H, W> assign(T... nums) {
        vc<Num> num_list = vc<Num>{nums...};
        assert(SIZE(num_list) == H * W);
        REP(i, 0, H) REP(j, 0, W)(*this)[i][j] = num_list[W * i + j];
        return *this;
    }

    void fill(Num num) { REP(i, 0, H) REP(j, 0, W)(*this)[i][j] = num; }

    void print() { REP(i, 0, H) REP(j, 0, W) cout << (*this)[i][j] << (j == W - 1 ? '\n' : ' '); }
    void dump_col(ll j) { REP(i, 0, H) cout << (*this)[i][j] << (i == H - 1 ? '\n' : ' '); }
};

/* #endregion */

// Problem
void solve() {
    VAR(ll, n); //

    Mat<mint, 4, 4> m;
    m.fill(1);
    REP(i, 0, 4) m[i][i] = 0;
    m = m.pow(n);
    Mat<mint, 4, 1> x{{1}, {0}, {0}, {0}};
    Mat<mint, 4, 1> ans = m * x;
    cout << ans[0][0] << endl;
}

// entry point
int main() {
    solve();
    return 0;
}

yukicoder

結果

テストケース

ソースコード