結果

問題 No.650 行列木クエリ
ユーザー はむこはむこ
提出日時 2016-09-08 03:55:30
言語 C++11
(gcc 11.4.0)
結果
WA  
実行時間 -
コード長 5,296 bytes
コンパイル時間 2,012 ms
コンパイル使用メモリ 160,064 KB
実行使用メモリ 33,032 KB
最終ジャッジ日時 2023-09-25 01:15:50
合計ジャッジ時間 3,360 ms
ジャッジサーバーID
(参考情報)
judge15 / judge12
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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 WA -
testcase_01 WA -
testcase_02 WA -
testcase_03 WA -
testcase_04 WA -
testcase_05 WA -
testcase_06 WA -
testcase_07 WA -
testcase_08 WA -
testcase_09 WA -
testcase_10 WA -
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ソースコード

diff #

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

#define rep(i,n) for(int i = 0; i < n; i++)
#define all(x) x.begin(), x.end()
#define Min(x) *min_element(all(x))
#define Max(x) *max_element(all(x))
template <typename T, typename U> ostream &operator<<(ostream &o, const pair<T, U> &v) {  o << "(" << v.first << ", " << v.second << ")"; return o; }
template <typename T> ostream &operator<<(ostream &o, const vector<T> &v) { if (!v.empty()) { o << '['; copy(v.begin(), v.end(), ostream_iterator<T>(o, ", ")); o << "\b\b]"; } return o; }
using ll = long long; using ld = long double; using vll = vector<ll>; using vi = vector<int>;
typedef pair<ld, ld> P;

static const double EPS = 1e-14;
static const long long INF = 1e18;
#define MAX_N 100005

class Mod {
    public:
        int num;
        int mod;
        Mod() : Mod(0) {}
        Mod(long long int n) : Mod(n, 1000000007) {}
        Mod(long long int n, int m) { mod = m; num = (n % mod + mod) % mod;}
        Mod(const string &s){ long long int tmp = 0; for(auto &c:s) tmp = (c-'0'+tmp*10) % mod; num = tmp; }
        Mod(int n) : Mod(static_cast<long long int>(n)) {}
        operator int() { return num; }
        void setmod(const int mod) { this->mod = mod; }
};
istream &operator>>(istream &is, Mod &x) { long long int n; is >> n; x = n; return is; }
ostream &operator<<(ostream &o, const Mod &x) { o << x.num; return o; }
Mod operator+(const Mod a, const Mod b) { return Mod((a.num + b.num) % a.mod); }
Mod operator+(const long long int a, const Mod b) { return Mod(a) + b; }
Mod operator+(const Mod a, const long long int b) { return b + a; }
Mod operator++(Mod &a) { return a + Mod(1); }
Mod operator-(const Mod a, const Mod b) { return Mod((a.mod + a.num - b.num) % a.mod); }
Mod operator-(const long long int a, const Mod b) { return Mod(a) - b; }
Mod operator--(Mod &a) { return a - Mod(1); }
Mod operator*(const Mod a, const Mod b) { return Mod(((long long)a.num * b.num) % a.mod); }
Mod operator*(const long long int a, const Mod b) { return Mod(a)*b; }
Mod operator*(const Mod a, const long long int b) { return Mod(b)*a; }
Mod operator*(const Mod a, const int b) { return Mod(b)*a; }
Mod operator+=(Mod &a, const Mod b) { return a = a + b; }
Mod operator+=(long long int &a, const Mod b) { return a = a + b; }
Mod operator-=(Mod &a, const Mod b) { return a = a - b; }
Mod operator-=(long long int &a, const Mod b) { return a = a - b; }
Mod operator*=(Mod &a, const Mod b) { return a = a * b; }
Mod operator*=(long long int &a, const Mod b) { return a = a * b; }
Mod operator*=(Mod& a, const long long int &b) { return a = a * b; }
Mod factorial(const long long n) {
    if (n < 0) return 0;
    Mod ret = 1;
    for (int i = 1; i <= n; i++) {
        ret *= i;
    }
    return ret;
}
Mod operator^(const Mod a, const long long n) {
    if (n == 0) return Mod(1);
    Mod res = (a * a) ^ (n / 2);
    if (n % 2) res = res * a;
    return res;
}
Mod modpowsum(const Mod a, const long long b) {
    if (b == 0) return 0;
    if (b % 2 == 1) return modpowsum(a, b - 1) * a + Mod(1);
    Mod result = modpowsum(a, b / 2);
    return result * (a ^ (b / 2)) + result;
}

/*************************************/
// GF(p)の行列演算
/*************************************/
using number = Mod;
using arr = vector<number>;
using matrix = vector<vector<Mod>>;

ostream &operator<<(ostream &o, const arr &v) { rep(i, v.size()) cout << v[i] << " "; cout << endl; return o; }
ostream &operator<<(ostream &o, const matrix &v) { rep(i, v.size()) cout << v[i]; return o; }

matrix zero(int n) { matrix A(n, arr(n, 0)); return A; } // O(n^2)
matrix identity(int n) { matrix A(n, arr(n, 0)); rep(i, n) A[i][i] = 1; return A; } // O(n^2)

// O(n^3)
matrix mul(const matrix &A, const matrix &B) {
    matrix C(A.size(), arr(B[0].size(), 0));
    rep(i, C.size())
        rep(j, C[i].size())
        rep(k, A[i].size())
        C[i][j] += A[i][k] * B[k][j];
    return C;
}
// O(n^2)
matrix plu(const matrix &A, const matrix &B) {
    matrix C(A.size(), arr(B[0].size(), 0));
    rep(i, C.size())
        rep(j, C[i].size())
            C[i][j] += A[i][j] + B[i][j];
    return C;
}


int main(void) {
    ll n; cin >> n;
    ll q; cin >> q;

    vector<matrix> a(n, identity(2));
    vector<matrix> b(n, identity(2));
    rep(i, q) {
        char query; cin >> query;
        if (query == 'g') {
            ll k; cin >> k;
            matrix ret = zero(2);
            for (int i = 1; i <= k; i++) {
                matrix ret_i = identity(2);
                rep(j, i) ret_i = mul(ret_i, a[j]);
                rep(j, i) ret_i = mul(ret_i, b[j]);
                ret = plu(ret, ret_i);
            }
            cout << ret[0][0] << " " << ret[0][1] << " " << ret[1][0] << " " << ret[1][1] << endl;
        } else if (query == 'a') {
            ll i; cin >> i;
            ll a_00, a_01, a_10, a_11; cin >> a_00 >> a_01 >> a_10 >> a_11;
            a[i][0][0] = a_00;
            a[i][0][1] = a_01;
            a[i][1][0] = a_10;
            a[i][1][1] = a_11;
        } else {
            ll i; cin >> i;
            ll b_00, b_01, b_10, b_11; cin >> b_00 >> b_01 >> b_10 >> b_11;
            b[i][0][0] = b_00;
            b[i][0][1] = b_01;
            b[i][1][0] = b_10;
            b[i][1][1] = b_11;
        }
    }

    return 0;
}
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