結果

問題 No.1340 おーじ君をさがせ
ユーザー firiexpfiriexp
提出日時 2021-01-15 21:59:53
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
CE  
(最新)
AC  
(最初)
実行時間 -
コード長 3,324 bytes
コンパイル時間 772 ms
コンパイル使用メモリ 93,692 KB
最終ジャッジ日時 2024-11-14 23:58:17
合計ジャッジ時間 1,413 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge2
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コンパイルエラー時のメッセージ・ソースコードは、提出者また管理者しか表示できないようにしております。（リジャッジ後のコンパイルエラーは公開されます）
ただし、clay言語の場合は開発者のデバッグのため、公開されます。

コンパイルメッセージ
main.cpp: In instantiation of 'struct SquareMatrix<SemiRing, 100>':
main.cpp:111:9:   required from here
main.cpp:24:9: error: 'SquareMatrix<H, SIZE>::A' has incomplete type
   24 |     mat A;
      |         ^
In file included from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/stl_map.h:63,
                 from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/map:61,
                 from main.cpp:3:
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/tuple:1595:45: note: declaration of 'using mat = struct std::array<std::array<bool, 100>, 100>' {aka 'struct std::array<std::array<bool, 100>, 100>'}
 1595 |   template<typename _Tp, size_t _Nm> struct array;
      |                                             ^~~~~
main.cpp: In function 'int main()':
main.cpp:115:13: error: no match for 'operator[]' (operand types are 'SquareMatrix<SemiRing, 100>::ar' {aka 'std::array<bool, 100>'} and 'int')
  115 |         X[a][b] = true;
      |             ^
main.cpp:117:8: error: variable 'ar p' has initializer but incomplete type
  117 |     ar p{};
      |        ^

ソースコード

diff # 

#include <iostream>
#include <algorithm>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <numeric>
#include <bitset>
#include <cmath>

static const int MOD = 1000000007;
using ll = long long;
using u32 = unsigned;
using u64 = unsigned long long;
using namespace std;

template<class T> constexpr T INF = ::numeric_limits<T>::max() / 32 * 15 + 208;

template<class H, size_t SIZE>
struct SquareMatrix {
    using T = typename H::T;
    using ar = array<T, SIZE>;
    using mat = array<ar, SIZE>;
    mat A;
    SquareMatrix() = default;
    static SquareMatrix I(){
        SquareMatrix X{};
        for (int i = 0; i < SIZE; ++i) {
            for (int j = 0; j < SIZE; ++j) {
                if(i == j) X[i][j] = H::one();
                else X[i][j] = H::zero();
            }
        }
        return X;
    }

    friend ar operator*=(ar &x, const SquareMatrix &Y) {
        ar ans{};
        for (int i = 0; i < SIZE; ++i) {
            for (int j = 0; j < SIZE; ++j) {
                 H::add(ans[j], H::mul(x[i], Y[i][j]));
            }
        }
        x.swap(ans);
        return x;
    }
    friend ar operator*(ar x, const SquareMatrix &Y) { return x *= Y; }

    inline const ar &operator[](int k) const{ return (A.at(k)); }
    inline ar &operator[](int k) { return (A.at(k)); }
    SquareMatrix &operator+= (const SquareMatrix &B){
        for (int i = 0; i < SIZE; ++i) {
            for (int j = 0; j < SIZE; ++j) {
                H::add((*this)[i][j], B[i][j]);
            }
        }
        return (*this);
    }

    SquareMatrix &operator-= (const SquareMatrix &B){
        for (int i = 0; i < SIZE; ++i) {
            for (int j = 0; j < SIZE; ++j) {
                H::add((*this)[i][j], -B[i][j]);
            }
        }
        return (*this);
    }

    SquareMatrix &operator*=(const SquareMatrix &B) {
        SquareMatrix C{};
        for (int i = 0; i < SIZE; ++i) {
            for (int k = 0; k < SIZE; ++k) {
                for (int j = 0; j < SIZE; ++j) {
                    H::add(C[i][j],  H::mul((*this)[i][k], B[k][j]));
                }
            }
        }
        A.swap(C.A);
        return (*this);
    }

    SquareMatrix pow(ll n) const {
        SquareMatrix a = (*this), res = I();
        while(n > 0){
            if(n & 1) res *= a;
            a *= a;
            n >>= 1;
        }
        return res;
    }
    SquareMatrix operator+(const SquareMatrix &B) const {return SquareMatrix(*this) += B;}
    SquareMatrix operator-(const SquareMatrix &B) const {return SquareMatrix(*this) -= B;}
    SquareMatrix operator*(const SquareMatrix &B) const {return SquareMatrix(*this) *= B;}
};

struct SemiRing {
    using T = bool;
    static inline T mul(T x, T y){ return x&y; }
    static inline void add(T &x, T y){ x |= y; }
    static inline T one(){ return true; }
    static inline T zero(){ return false; }
};

using ar = array<SemiRing::T, 100>;
using mat = SquareMatrix<SemiRing, 100>;


int main() {
    int n, m, t;
    cin >> n >> m >> t;
    mat X;
    for (int i = 0; i < m; ++i) {
        int a, b;
        scanf("%d %d", &a, &b);
        X[a][b] = true;
    }
    ar p{};
    p[0] = true;
    p *= X.pow(t);
    int ans = 0;
    for (int i = 0; i < n; ++i) {
        ans += p[i];
    }
    cout << ans << "\n";
    return 0;
}
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