#507725 (C++17) No.1105 Many Triplets

提出ソース

結果

問題	No.1105 Many Triplets
ユーザー	minato
提出日時	2020-07-07 00:34:41
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	5,688 bytes
コンパイル時間	4,245 ms
コンパイル使用メモリ	239,600 KB
実行使用メモリ	6,944 KB
最終ジャッジ日時	2024-09-25 00:26:07
合計ジャッジ時間	4,954 ms
ジャッジサーバーID （参考情報）	judge1 / judge3

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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	AC	2 ms 6,816 KB
testcase_01	AC	2 ms 6,944 KB
testcase_02	AC	2 ms 6,940 KB
testcase_03	AC	2 ms 6,944 KB
testcase_04	AC	2 ms 6,944 KB
testcase_05	AC	2 ms 6,944 KB
testcase_06	AC	2 ms 6,944 KB
testcase_07	AC	2 ms 6,940 KB
testcase_08	AC	2 ms 6,940 KB
testcase_09	AC	2 ms 6,944 KB
testcase_10	AC	2 ms 6,944 KB
testcase_11	AC	2 ms 6,940 KB
testcase_12	AC	2 ms 6,944 KB
testcase_13	AC	2 ms 6,944 KB
testcase_14	AC	2 ms 6,940 KB
testcase_15	AC	2 ms 6,944 KB
testcase_16	AC	2 ms 6,944 KB
testcase_17	AC	2 ms 6,940 KB
testcase_18	AC	2 ms 6,940 KB
testcase_19	AC	2 ms 6,944 KB
testcase_20	AC	1 ms 6,940 KB
testcase_21	AC	2 ms 6,944 KB
testcase_22	AC	2 ms 6,940 KB
testcase_23	AC	2 ms 6,940 KB
testcase_24	AC	2 ms 6,940 KB
testcase_25	AC	2 ms 6,940 KB
testcase_26	AC	2 ms 6,944 KB
testcase_27	AC	2 ms 6,940 KB

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ソースコード

raw source code

#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
using ll = long long;
using u64 = uint_fast64_t;
using pii = pair<int, int>;
using pll = pair<long long, long long>;
#define rep(i, n) for(int i = 0; i < (n); ++i)
#define all(x) (x).begin(),(x).end()
constexpr char ln =  '\n';
constexpr long long MOD = 1000000007;
//constexpr long long MOD = 998244353;
template<class T1, class T2> inline bool chmax(T1 &a, T2 b) { if (a < b) { a = b; return true;} return false; }
template<class T1, class T2> inline bool chmin(T1 &a, T2 b) { if (a > b) { a = b; return true;} return false; }
inline int popcount(int x) {return __builtin_popcount(x);}
inline int popcount(long long x) {return __builtin_popcountll(x);}
void print() { cout << "\n"; }
template<class T, class... Args>
void print(const T &x, const Args &... args) {
    cout << x << " ";
    print(args...);
}
///////////////////////////////////////////////////////////////////////////////////////////////////////////////

template <uint_fast64_t Modulus> 
struct ModInt {
    using u64 = uint_fast64_t;

    u64 a;

    constexpr ModInt(const long long x = 0) noexcept : a(x >= 0 ? x % Modulus : (Modulus - (-x) % Modulus) % Modulus) {}
    constexpr u64 &value() noexcept {return a;}
    constexpr const u64 &value() const noexcept {return a;}
    constexpr ModInt operator+(const ModInt rhs) const noexcept {return ModInt(*this) += rhs;}
    constexpr ModInt operator-(const ModInt rhs) const noexcept {return ModInt(*this) -= rhs;}
    constexpr ModInt operator*(const ModInt rhs) const noexcept {return ModInt(*this) *= rhs;}
    constexpr ModInt operator/(const ModInt rhs) const noexcept {return ModInt(*this) /= rhs;}
    constexpr ModInt operator^(const long long rhs) const noexcept {return ModInt(*this) ^= rhs;}
    constexpr bool operator==(const ModInt &rhs) const noexcept {return a == rhs.a;}
    constexpr bool operator!=(const ModInt &rhs) const noexcept {return a != rhs.a;}
    constexpr ModInt &operator+=(const ModInt rhs) noexcept {
        a += rhs.a;
        if (a >= Modulus) {
            a -= Modulus;
        }
        return *this;
    }
    constexpr ModInt &operator-=(const ModInt rhs) noexcept {
        if (a < rhs.a) {
            a += Modulus;
        }
        a -= rhs.a;
        return *this;
    }
    constexpr ModInt &operator*=(const ModInt rhs) noexcept {
        a = a * rhs.a % Modulus;
        return *this;
    }
    constexpr ModInt &operator/=(ModInt rhs) noexcept {
        u64 exp = Modulus - 2;
        while (exp) {
            if (exp&1) *this *= rhs;
            exp >>= 1;
            rhs *= rhs;
        }
        return *this;
    }
    constexpr ModInt &operator^=(long long exp) noexcept {
        ModInt rhs = a;
        a = 1;
        while (exp) {
            if (exp&1) *this *= rhs;
            exp >>= 1;
            rhs *= rhs;
        }
        return *this;
    }

    friend ostream &operator<<(ostream& os, const ModInt& rhs) noexcept {return os << rhs.a;}
    friend istream &operator>>(istream& is, ModInt& rhs) noexcept {long long a; is >> a; rhs = a; return is;}
};

using mint = ModInt<MOD>;

template<typename T, int sz>
struct Matrix {
   	array<array<T, sz>, sz> A;
	int N;

   	Matrix() : N(sz) {}
   	Matrix(int N) : N(N) {}

	inline const array<T, sz> &operator[](int k) const {return A[k];}
  	inline array<T, sz> &operator[](int k) {return A[k];}

  	static Matrix I(int N) {
    	Matrix<T, sz> mat(N);
    	for(int i = 0; i < N; ++i) mat[i][i] = 1;
    	return mat;
  	}

  	Matrix &operator+=(const Matrix &B) noexcept {
    	for(int i = 0; i < N; ++i) {
      	    for(int j = 0; j < N; ++j) {
        	    (*this)[i][j] += B[i][j];
            }
        }
    	return *this;
  	}

  	Matrix &operator-=(const Matrix &B) noexcept {
    	for(int i = 0; i < N; ++i) {
      		for(int j = 0; j < N; ++j) {
				(*this)[i][j] -= B[i][j];
			}
		}
    	return *this;
  	}

    Matrix &operator*=(const Matrix &B) noexcept {
        Matrix<T, sz> C(N);
        for(int i = 0; i < N; ++i) {
            for(int k = 0; k < N; ++k) {
                for(int j = 0; j < N; ++j) {
                    C[i][j] += (*this)[i][k] * B[k][j];
                }
            }
        }
        for (int i = 0; i < N; ++i) {
            for (int j = 0; j < N; ++j) {
                swap(A[i][j],C.A[i][j]);
            }
        }
        return *this;
    }

    Matrix &operator^=(long long k) noexcept {
        Matrix<T, sz> B = Matrix<T, sz>::I(N);
        while(k) {
            if(k & 1) B *= *this;
            *this *= *this;
            k >>= 1;
        }
        for (int i = 0; i < N; ++i) {
            for (int j = 0; j < N; ++j) {
                swap(A[i][j],B.A[i][j]);
            }
        }
        return *this;
    }

    Matrix operator+(const Matrix &B) const noexcept {return (Matrix(*this) += B);}
    Matrix operator-(const Matrix &B) const noexcept {return (Matrix(*this) -= B);}
    Matrix operator*(const Matrix &B) const noexcept {return (Matrix(*this) *= B);}
    Matrix operator^(const long long k) const noexcept {return (Matrix(*this) ^= k);}
};

int main() {
    ios::sync_with_stdio(false); cin.tie(nullptr);
    ll N; cin >> N;
    ll A,B,C; cin >> A >> B >> C;
    Matrix<mint, 3> mat(3);
    mat[0][0] = mat[1][1] = mat[2][2] = 1;
    mat[0][1] = mat[1][2] = mat[2][0] = -1;
    N--;
    mat ^= N;
    mint a = mat[0][0]*A+mat[0][1]*B+mat[0][2]*C;
    mint b = mat[1][0]*A+mat[1][1]*B+mat[1][2]*C;
    mint c = mat[2][0]*A+mat[2][1]*B+mat[2][2]*C;

    cout << a << " " << b << " " << c << ln;
}

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テストケース

ソースコード