結果

問題 No.997 Jumping Kangaroo
ユーザー firiexp
提出日時 2020-02-21 21:50:49
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
CE  
(最新)
AC  
(最初)
実行時間 -
コード長 5,302 bytes
コンパイル時間 759 ms
コンパイル使用メモリ 91,112 KB
最終ジャッジ日時 2024-11-14 22:07:53
合計ジャッジ時間 1,118 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge4
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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, 2>':
main.cpp:166:9:   required from here
main.cpp:60:9: error: 'SquareMatrix<H, SIZE>::A' has incomplete type
   60 |     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:5:
/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<modint<1000000007>, 2>, 2>' {aka 'struct std::array<std::array<modint<1000000007>, 2>, 2>'}
 1595 |   template<typename _Tp, size_t _Nm> struct array;
      |                                             ^~~~~
main.cpp: In function 'int main()':
main.cpp:167:9: error: no match for 'operator[]' (operand types are 'SquareMatrix<SemiRing, 2>::ar' {aka 'std::array<modint<1000000007>, 2>'} and 'int')
  167 |     A[0][0] = dp[1][w]; A[1][0] = dp[0][2*w];
      |         ^
main.cpp:167:29: error: no match for 'operator[]' (operand types are 'SquareMatrix<SemiRing, 2>::ar' {aka 'std::array<modint<1000000007>, 2>'} and 'int')
  167 |     A[0][0] = dp[1][w]; A[1][0] = dp[0][2*w];
      |                             ^
main.cpp:168:9: error: no match for 'operator[]' (operand types are 'SquareMatrix<SemiRing, 2>::ar' {aka 'std::array<modint<1000000007>, 2>'} and 'int')
  168 |     A[0][1] = 1;
      |         ^
main.cpp:170:17: error: no match for 'operator[]' (operand types are 'SquareMatrix<SemiRing, 2>::ar' {aka 'std::array<modint<1000000007>, 2>'} and 'int')
  170 |     cout << A[0][0].val << "\n";
      |                 ^

ソースコード

diff #
プレゼンテーションモードにする

#include <limits>
#include <iostream>
#include <algorithm>
#include <iomanip>
#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<u32 M = 1000000007>
struct modint{
    u32 val;
    modint(): val(0){}
    template<typename T>
    modint(T t){t %= (T)M; if(t < 0) t += (T)M; val = t;}
    modint pow(ll k) const {
        modint res(1), x(val);
        while(k){
            if(k&1) res *= x;
            x *= x;
            k >>= 1;
        }
        return res;
    }
    template<typename T>
    modint& operator=(T t){t %= (T)M; if(t < 0) t += (T)M; val = t; return *this;}
    modint inv() const {return pow(M-2);}
    modint& operator+=(modint a){val += a.val; if(val >= M) val -= M; return *this;}
    modint& operator-=(modint a){if(val < a.val) val += M-a.val; else val -= a.val; return *this;}
    modint& operator*=(modint a){val = (u64)val*a.val%M; return *this;}
    modint& operator/=(modint a){return (*this) *= a.inv();}
    modint operator+(modint a) const {return modint(val) +=a;}
    modint operator-(modint a) const {return modint(val) -=a;}
    modint operator*(modint a) const {return modint(val) *=a;}
    modint operator/(modint a) const {return modint(val) /=a;}
    modint operator-(){return modint(M-val);}
    bool operator==(const modint a) const {return val == a.val;}
    bool operator!=(const modint a) const {return val != a.val;}
    bool operator<(const modint a) const {return val < a.val;}
};
using mint = modint<MOD>;
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 = mint;
    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 {1}; }
    static inline T zero(){ return {0}; }
};
using ar = array<SemiRing::T, 2>;
using mat = SquareMatrix<SemiRing, 2>;
template <class T, class U>
vector<T> make_v(U size, const T& init){ return vector<T>(static_cast<size_t>(size), init); }
template<class... Ts, class U>
auto make_v(U size, Ts... rest) { return vector<decltype(make_v(rest...))>(static_cast<size_t>(size), make_v(rest...)); }
template<class T> void chmin(T &a, const T &b){ a = (a < b ? a : b); }
template<class T> void chmax(T &a, const T &b){ a = (a > b ? a : b); }
int main() {
    int n, w; ll  k;
    cin >> n >> w >> k;
    vector<int> v(n);
    for (auto &&i : v) scanf("%d", &i);
    auto dp = make_v(2, 2*w+1, mint(0));
    dp[0][0] = 1;
    for (int i = 0; i < 2*w; ++i) {
        for (int j = 0; j < 2; ++j) {
            for (int l = 0; l < n; ++l) {
                if(i+v[l] <= 2*w) dp[j||(i+v[l] == w)][i+v[l]] += dp[j][i];
            }
        }
    }
    mat A;
    A[0][0] = dp[1][w]; A[1][0] = dp[0][2*w];
    A[0][1] = 1;
    A = A.pow(k);
    cout << A[0][0].val << "\n";
    return 0;
}
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