#506054 (C++14) No.1105 Many Triplets

提出ソース

結果

問題	No.1105 Many Triplets
ユーザー	Shuz*
提出日時	2020-07-03 21:53:02
言語	C++14 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	2 ms / 2,000 ms
コード長	6,983 bytes
コンパイル時間	2,256 ms
コンパイル使用メモリ	183,652 KB
実行使用メモリ	5,376 KB
最終ジャッジ日時	2024-09-17 00:24:32
合計ジャッジ時間	2,974 ms
ジャッジサーバーID （参考情報）	judge1 / judge3

このコードへのチャレンジ
（要ログイン）

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	1 ms 5,376 KB
testcase_03	AC	2 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	1 ms 5,376 KB
testcase_09	AC	2 ms 5,376 KB
testcase_10	AC	1 ms 5,376 KB
testcase_11	AC	2 ms 5,376 KB
testcase_12	AC	2 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	2 ms 5,376 KB
testcase_17	AC	2 ms 5,376 KB
testcase_18	AC	2 ms 5,376 KB
testcase_19	AC	2 ms 5,376 KB
testcase_20	AC	1 ms 5,376 KB
testcase_21	AC	2 ms 5,376 KB
testcase_22	AC	1 ms 5,376 KB
testcase_23	AC	1 ms 5,376 KB
testcase_24	AC	1 ms 5,376 KB
testcase_25	AC	1 ms 5,376 KB
testcase_26	AC	2 ms 5,376 KB
testcase_27	AC	2 ms 5,376 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

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

// Define
using ll = long long;
using ull = unsigned long long;
using ld = long double;
template <class T> using pvector = vector<pair<T, T>>;
template <class T>
using rpriority_queue = priority_queue<T, vector<T>, greater<T>>;
constexpr const ll dx[4] = {1, 0, -1, 0};
constexpr const ll dy[4] = {0, 1, 0, -1};
constexpr const ll MOD = 1e9 + 7;
constexpr const ll mod = 998244353;
constexpr const ll INF = 1LL << 60;
constexpr const ll inf = 1 << 30;
constexpr const char rt = '\n';
constexpr const char sp = ' ';
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define mp make_pair
#define mt make_tuple
#define pb push_back
#define eb emplace_back
#define elif else if
#define fi first
#define se second

template <class T> bool chmax(T &a, const T &b) {
    if (a < b) {
        a = b;
        return 1;
    }
    return 0;
}
template <class T> bool chmin(T &a, const T &b) {
    if (a > b) {
        a = b;
        return 1;
    }
    return 0;
}

// Debug
#define debug(...)                                                             \
    {                                                                          \
        cerr << __LINE__ << ": " << #__VA_ARGS__ << " = ";                     \
        for (auto &&X : {__VA_ARGS__}) cerr << "[" << X << "] ";               \
        cerr << rt;                                                            \
    }

#define dump(a, h, w)                                                          \
    {                                                                          \
        cerr << __LINE__ << ": " << #a << " = [" << rt;                        \
        rep(_i, h) {                                                           \
            rep(_j, w) {                                                       \
                if (abs(a[_i][_j]) >= INF / 2 and a[_i][_j] <= -INF / 2)       \
                    cerr << '-';                                               \
                if (abs(a[_i][_j]) >= INF / 2)                                 \
                    cerr << "∞" << sp;                                         \
                else                                                           \
                    cerr << a[_i][_j] << sp;                                   \
            }                                                                  \
            cerr << rt;                                                        \
        }                                                                      \
        cerr << "]" << rt;                                                     \
    }

#define vdump(a, n)                                                            \
    {                                                                          \
        cerr << __LINE__ << ": " << #a << " = [";                              \
        rep(_i, n) {                                                           \
            if (_i) cerr << sp;                                                \
            if (abs(a[_i]) >= INF / 2 and a[_i] <= -INF / 2) cerr << '-';      \
            if (abs(a[_i]) >= INF / 2)                                         \
                cerr << "∞" << sp;                                             \
            else                                                               \
                cerr << a[_i];                                                 \
        }                                                                      \
        cerr << "]" << rt;                                                     \
    }

// Loop
#define inc(i, a, n) for (ll i = (a), _##i = (n); i <= _##i; ++i)
#define dec(i, a, n) for (ll i = (a), _##i = (n); i >= _##i; --i)
#define rep(i, n) for (ll i = 0, _##i = (n); i < _##i; ++i)
#define each(i, a) for (auto &&i : a)

// Stream
#define fout(n) cout << fixed << setprecision(n)
struct io {
    io() { cin.tie(nullptr), ios::sync_with_stdio(false); }
} io;

// Speed
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")

// Math
inline constexpr ll gcd(const ll a, const ll b) {
    return b ? gcd(b, a % b) : a;
}
inline constexpr ll lcm(const ll a, const ll b) { return a / gcd(a, b) * b; }

inline constexpr ll modulo(const ll n, const ll m = MOD) {
    ll k = n % m;
    return k + m * (k < 0);
}
inline constexpr ll chmod(ll &n, const ll m = MOD) {
    n %= m;
    return n += m * (n < 0);
}
inline constexpr ll mpow(ll a, ll n, const ll m = MOD) {
    ll r = 1;
    rep(i, 64) {
        if (n & (1LL << i)) r *= a;
        chmod(r, m);
        a *= a;
        chmod(a, m);
    }
    return r;
}
inline ll inv(const ll n, const ll m = MOD) {
    ll a = n, b = m, x = 1, y = 0;
    while (b) {
        ll t = a / b;
        a -= t * b;
        swap(a, b);
        x -= t * y;
        swap(x, y);
    }
    return modulo(x, m);
}

signed main() {
    ll N, A, B, C;
    cin >> N >> A >> B >> C;
    using matrix = vector<vector<ll>>;
    function<matrix(matrix, matrix)> add = [](matrix A, matrix B) {
        int m = A.size(), n = A[0].size();
        for (int i = 0; i < m; i++) {
            for (int j = 0; j < n; j++) {
                (A[i][j] += B[i][j]) %= MOD;
            }
        }
        return A;
    };
    function<matrix(matrix)> t = [](matrix A) {
        int m = A.size(), n = A[0].size();
        for (int i = 0; i < m; i++) {
            for (int j = 0; j < n; j++) {
                if (i < j) swap(A[i][j], A[j][i]);
            }
        }
        return A;
    };
    function<matrix(ll, matrix)> multiple = [](ll A, matrix B) {
        int m = B.size(), n = B[0].size();
        for (int i = 0; i < m; i++) {
            for (int j = 0; j < n; j++) {
                (B[i][j] *= A) %= MOD;
            }
        }
        return B;
    };
    function<matrix(matrix, matrix)> product = [](matrix A, matrix B) {
        int m = A.size(), n = B.size(), l = B[0].size();
        matrix C(m, vector<ll>(l));
        for (int i = 0; i < m; i++) {
            for (int j = 0; j < l; j++) {
                for (int k = 0; k < n; k++) {
                    (C[i][j] += A[i][k] * B[k][j]) %= MOD;
                }
            }
        }
        return C;
    };
    function<void(matrix)> print = [](matrix A) {
        int m = A.size(), n = A[0].size();
        for (int i = 0; i < m; i++) {
            for (int j = 0; j < n; j++) {
                cout << A[i][j] << (j == n - 1 ? '\n' : ' ');
            }
        }
    };
    matrix a = {{A}, {B}, {C}};
    matrix b = {{1, MOD - 1, 0}, {0, 1, MOD - 1}, {MOD - 1, 0, 1}};
    matrix r = {{1, 0, 0}, {0, 1, 0}, {0, 0, 1}};

    rep(i, 60) {
        if ((1LL << i) & (N - 1)) {
            r = product(r, b);
        }
        b = product(b, b);
    }

    cout << product(r, a)[0][0] << sp << product(r, a)[1][0] << sp
         << product(r, a)[2][0] << rt;
}

yukicoder

結果

テストケース

ソースコード