結果

問題 No.1136 Four Points Tour
ユーザー Konton7Konton7
提出日時 2020-08-01 18:33:52
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 7,790 bytes
コンパイル時間 4,445 ms
コンパイル使用メモリ 219,864 KB
実行使用メモリ 4,384 KB
最終ジャッジ日時 2023-09-22 11:38:36
合計ジャッジ時間 4,873 ms
ジャッジサーバーID
(参考情報)
judge11 / judge13
このコードへのチャレンジ(β)

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
4,376 KB
testcase_01 AC 1 ms
4,376 KB
testcase_02 AC 1 ms
4,376 KB
testcase_03 AC 2 ms
4,376 KB
testcase_04 AC 1 ms
4,384 KB
testcase_05 AC 2 ms
4,380 KB
testcase_06 AC 2 ms
4,376 KB
testcase_07 AC 2 ms
4,376 KB
testcase_08 AC 1 ms
4,376 KB
testcase_09 AC 2 ms
4,376 KB
testcase_10 AC 1 ms
4,376 KB
testcase_11 AC 2 ms
4,376 KB
testcase_12 AC 1 ms
4,380 KB
testcase_13 AC 2 ms
4,376 KB
testcase_14 AC 1 ms
4,380 KB
testcase_15 AC 2 ms
4,380 KB
testcase_16 AC 2 ms
4,376 KB
testcase_17 AC 1 ms
4,376 KB
testcase_18 AC 1 ms
4,376 KB
testcase_19 AC 2 ms
4,380 KB
testcase_20 AC 1 ms
4,380 KB
testcase_21 AC 2 ms
4,380 KB
01_Sample03_evil.txt AC 2 ms
4,380 KB
04_Rnd_large_evil1.txt AC 2 ms
4,376 KB
04_Rnd_large_evil2.txt AC 2 ms
4,376 KB
04_Rnd_large_evil3.txt AC 1 ms
4,376 KB
04_Rnd_large_evil4.txt AC 2 ms
4,376 KB
04_Rnd_large_evil5.txt AC 2 ms
4,384 KB
04_Rnd_large_evil6.txt AC 2 ms
4,376 KB
04_Rnd_large_evil7.txt AC 1 ms
4,376 KB
04_Rnd_large_evil8.txt AC 1 ms
4,380 KB
04_Rnd_large_evil9.txt AC 2 ms
4,376 KB
04_Rnd_large_evil10.txt AC 1 ms
4,380 KB
05_Rnd_huge_evil1.txt AC 1 ms
4,380 KB
05_Rnd_huge_evil2.txt AC 1 ms
4,380 KB
05_Rnd_huge_evil3.txt AC 1 ms
4,380 KB
05_Rnd_huge_evil4.txt AC 1 ms
4,376 KB
05_Rnd_huge_evil5.txt AC 2 ms
4,380 KB
05_Rnd_huge_evil6.txt AC 2 ms
4,376 KB
05_Rnd_huge_evil7.txt AC 2 ms
4,376 KB
99_evil_01.txt AC 2 ms
4,376 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

diff #

#include <bits/stdc++.h>

using namespace std;
using ll = long long;
using VI = vector<int>;
using VL = vector<ll>;
using VS = vector<string>;
using VB = vector<bool>;
using VVB = vector<vector<bool>>;
using VVI = vector<VI>;
using VVL = vector<VL>;
using PII = std::pair<int, int>;
using VPII = std::vector<std::pair<int, int>>;
using PLL = std::pair<ll, ll>;
using VPLL = std::vector<std::pair<ll, ll>>;
using TI3 = std::tuple<int, int, int>;
using TI4 = std::tuple<int, int, int, int>;
using TL3 = std::tuple<ll, ll, ll>;
using TL4 = std::tuple<ll, ll, ll, ll>;

#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define repr(i, n) for (int i = (int)(n)-1; i >= 0; i--)
#define rep2(i, s, n) for (int i = (s); i < (int)(n); i++)
#define rep3(i, s, n, d) for (int i = (s); i < (int)(n); i += (d))
#define allpt(v) (v).begin(), (v).end()
#define allpt_c(v) (v).cbegin(), (v).cend()
#define allpt_r(v) (v).rbegin(), (v).rend()
#define allpt_cr(v) (v).crbegin(), (v).crend()

const int mod1 = 1e9 + 7, mod2 = 998244353, mod3 = 1e9 + 9;
const int mod = mod1;
const ll inf = 1e18;

const string wsp = " ";
const string tb = "\t";
const string rt = "\n";

template <typename T>
void show1dvec(const vector<T> &v)
{
    if (v.size() == 0)
        return;
    int n = v.size() - 1;
    rep(i, n) cout << v[i] << wsp;
    cout << v[n] << rt;

    return;
}

template <typename T>
void show2dvec(const vector<vector<T>> &v)
{
    int n = v.size();
    rep(i, n) show1dvec(v[i]);
}

template <typename T, typename S>
void show1dpair(const vector<pair<T, S>> &v)
{
    int n = v.size();
    rep(i, n) cout << v[i].first << wsp << v[i].second << rt;
    return;
}

template <typename T, typename S>
void pairzip(const vector<pair<T, S>> &v, vector<T> &t, vector<T> &s)
{
    int n = v.size();
    rep(i, n)
    {
        t.push_back(v[i].first);
        s.push_back(v[i].second);
    }
    return;
}

template <typename T>
void maxvec(vector<T> &v)
{
    T s = v[0];
    int n = v.size();
    rep(i, n - 1)
    {
        if (s > v[i + 1])
        {
            v[i + 1] = s;
        }
        s = v[i + 1];
    }
}

template <typename T, typename S>
bool myfind(T t, S s)
{
    return find(t.cbegin(), t.cend(), s) != t.cend();
}

bool check(int y, int x, int h, int w)
{
    return 0 <= y && y < h && 0 <= x && x < w;
}

bool iskadomatsu(int a, int b, int c)
{
    return (a != b && b != c && c != a) && ((a > b && b < c) || (a < b && b > c));
}

double euc_dist(PII a, PII b)
{
    return sqrt(pow(a.first - b.first, 2) + pow(a.second - b.second, 2));
}

VS split(string s, char c)
{
    VS ret;
    string part;
    s += c;
    rep(i, s.length())
    {
        if (s[i] == c)
        {
            ret.emplace_back(part);
            part = "";
        }
        else if (s[i] != c)
        {
            part += s[i];
        }
    }
    return ret;
}

template <typename T, typename S, typename R>
ll pow_mod(T p, S q, R mod = 1ll)
{
    ll ret = 1, r = p;
    while (q)
    {
        if (q % 2)
            ret *= r, ret %= mod;
        r = (r * r) % mod, q /= 2;
    }
    return ret % mod;
}

template <typename T, typename S>
ll pow_no_mod(T p, S q)
{
    ll ret = 1, r = p;
    while (q)
    {
        if (q % 2)
            ret *= r;
        r = (r * r), q /= 2;
    }
    return ret;
}

void make_frac_tables(VL &frac_list, VL &frac_inv_list)
{
    rep(i, frac_list.size() - 1)
    {
        frac_list[i + 1] *= frac_list[i] * (i + 1);
        frac_list[i + 1] %= mod;
        frac_inv_list[i + 1] *= frac_inv_list[i] * pow_mod(i + 1, mod - 2, mod);
        frac_inv_list[i + 1] %= mod;
    }
}

pair<VL, VL> make_frac_tables(int n)
{
    VL frac_list(n + 1, 1), frac_inv_list(n + 1, 1);
    rep(i, n)
    {
        frac_list[i + 1] *= frac_list[i] * (i + 1);
        frac_list[i + 1] %= mod;
        frac_inv_list[i + 1] *= frac_inv_list[i] * pow_mod(i + 1, mod - 2, mod);
        frac_inv_list[i + 1] %= mod;
    }
    return make_pair(frac_list, frac_inv_list);
}

ll comb(int a, int b, const VL &frac_list, const VL &frac_inv_list)
{
    if (a < b)
        return 0;
    if (b < 0)
        return 0;
    ll ret = frac_list[a];
    ret *= frac_inv_list[b];
    ret %= mod;
    ret *= frac_inv_list[a - b];
    ret %= mod;
    return ret;
}

class Matrix_n
{
    int matsize;
    VVL mat;

public:
    Matrix_n();
    Matrix_n(int n);
    Matrix_n(int n, const VVL &inmat);

    void showmat();
    void identify();
    ll getone(const int &i, const int &j);
    int getsize();
    const Matrix_n operator+(const Matrix_n &b);
    const Matrix_n operator-(const Matrix_n &b);
    const Matrix_n operator*(const Matrix_n &b);
    Matrix_n &operator+=(const Matrix_n &b);
    Matrix_n &operator-=(const Matrix_n &b);
    const Matrix_n operator+();
    const Matrix_n operator-();
    const Matrix_n operator%(const int &b);
    Matrix_n &operator%=(const int &b);
    
};

Matrix_n::Matrix_n()
{
    matsize = 0;
    VVL mat;
}

Matrix_n::Matrix_n(int n)
{
    matsize = n;
    mat.resize(n);
    rep(i, n) rep(j, n)
        mat[i]
            .emplace_back(0);
}

Matrix_n::Matrix_n(int n, const VVL &inmat)
{
    matsize = n;
    mat.resize(n);
    rep(i, n)
    {
        mat[i].resize(n);
        rep(j, n)
        {
            mat[i][j] = inmat[i][j];
        }
    }
}

void Matrix_n::identify()
{
    rep(i, matsize) rep(j, matsize)
    {
        mat[i][j] = i == j ? 1 : 0;
    }
}

ll Matrix_n::getone(const int &i, const int &j)
{
    return mat[i][j];
}

int Matrix_n::getsize()
{
    return matsize;
}

const Matrix_n Matrix_n::operator+(const Matrix_n &b)
{
    Matrix_n ret(matsize);
    rep(i, matsize) rep(j, matsize)
    {
        ret.mat[i][j] = mat[i][j] + b.mat[i][j];
    }
    return ret;
}

const Matrix_n Matrix_n::operator-(const Matrix_n &b)
{
    Matrix_n ret(matsize);
    rep(i, matsize) rep(j, matsize)
    {
        ret.mat[i][j] = mat[i][j] - b.mat[i][j];
    }
    return ret;
}

const Matrix_n Matrix_n::operator*(const Matrix_n &b)
{
    Matrix_n ret(matsize);
    rep(i, matsize) rep(j, matsize) rep(k, matsize)
    {
        ret.mat[i][j] += mat[i][k] * b.mat[k][j];
    }
    return ret;
}

const Matrix_n Matrix_n::operator%(const int &b)
{
    Matrix_n ret(matsize);
    rep(i, matsize) rep(j, matsize)
    {
        ret.mat[i][j] = mat[i][j] % b;
    }
    return ret;
}

const Matrix_n Matrix_n::operator+()
{
    return *this;
}

const Matrix_n Matrix_n::operator-()
{
    Matrix_n ret(matsize);
    rep(i, matsize) rep(j, matsize)
    {
        ret.mat[i][j] = -mat[i][j];
    }
    return ret;
}

Matrix_n &Matrix_n::operator+=(const Matrix_n &b)
{
    rep(i, matsize) rep(j, matsize)
    {
        mat[i][j] += b.mat[i][j];
    }
    return *this;
}

Matrix_n &Matrix_n::operator-=(const Matrix_n &b)
{
    rep(i, matsize) rep(j, matsize)
    {
        mat[i][j] -= b.mat[i][j];
    }
    return *this;
}

Matrix_n &Matrix_n::operator%=(const int &b)
{
    rep(i, matsize) rep(j, matsize)
    {
        mat[i][j] %= b;
    }
    return *this;
}

Matrix_n mat_pow_mod(Matrix_n a, ll p, ll m)
{
    const int n = a.getsize();
    Matrix_n b(n);
    b.identify();

    while(p > 0)
    {
        if (p % 2)
        {
            b = b * a;
            b %= mod;
        }
        p /= 2;
        a = a * a;
        a %= m;
    }
    return b;
}

void Matrix_n::showmat()
{
    show2dvec(mat);
}



int main()
{

    // cin.tie(0);
    // ios::sync_with_stdio(false);

#ifdef DEBUG
    cout << "DEBUG MODE" << endl;
    ifstream in("input.txt"); //for debug
    cin.rdbuf(in.rdbuf());    //for debug
#endif

    constexpr int m = 4;
    ll n;
    cin >> n;
    VVL init = {{0, 1, 1, 1}, {1, 0, 1, 1}, {1, 1, 0, 1}, {1, 1, 1, 0}};
    Matrix_n a(4, init), b;

    b = mat_pow_mod(a, n, mod);
    cout << b.getone(0, 0) << rt;

    return 0;
}
0