#478742 (C++17) No.1050 Zero (Maximum)

提出ソース

結果

問題	No.1050 Zero (Maximum)
ユーザー	ningenMe
提出日時	2020-05-08 22:12:22
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	16 ms / 2,000 ms
コード長	6,486 bytes
コンパイル時間	2,159 ms
コンパイル使用メモリ	203,864 KB
実行使用メモリ	6,948 KB
最終ジャッジ日時	2024-07-04 00:48:39
合計ジャッジ時間	3,013 ms
ジャッジサーバーID （参考情報）	judge5 / judge2

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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 6,812 KB
testcase_01	AC	5 ms 6,948 KB
testcase_02	AC	5 ms 6,940 KB
testcase_03	AC	13 ms 6,940 KB
testcase_04	AC	14 ms 6,940 KB
testcase_05	AC	14 ms 6,940 KB
testcase_06	AC	14 ms 6,940 KB
testcase_07	AC	14 ms 6,940 KB
testcase_08	AC	15 ms 6,940 KB
testcase_09	AC	13 ms 6,940 KB
testcase_10	AC	12 ms 6,944 KB
testcase_11	AC	12 ms 6,940 KB
testcase_12	AC	14 ms 6,944 KB
testcase_13	AC	3 ms 6,940 KB
testcase_14	AC	3 ms 6,940 KB
testcase_15	AC	4 ms 6,940 KB
testcase_16	AC	13 ms 6,944 KB
testcase_17	AC	16 ms 6,944 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

raw source code

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

#define ALL(obj) (obj).begin(),(obj).end()
#define SPEED cin.tie(0);ios::sync_with_stdio(false);

template<class T> using PQ = priority_queue<T>;
template<class T> using PQR = priority_queue<T,vector<T>,greater<T>>;

constexpr long long MOD = (long long)1e9 + 7;
constexpr long long MOD2 = 998244353;
constexpr long long HIGHINF = (long long)1e18;
constexpr long long LOWINF = (long long)1e15;
constexpr long double PI = 3.1415926535897932384626433L;

template <class T> vector<T> multivector(size_t N,T init){return vector<T>(N,init);}
template <class... T> auto multivector(size_t N,T... t){return vector<decltype(multivector(t...))>(N,multivector(t...));}
template <class T> void corner(bool flg, T hoge) {if (flg) {cout << hoge << endl; exit(0);}}
template <class T, class U>ostream &operator<<(ostream &o, const map<T, U>&obj) {o << "{"; for (auto &x : obj) o << " {" << x.first << " : " << x.second << "}" << ","; o << " }"; return o;}
template <class T>ostream &operator<<(ostream &o, const set<T>&obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr) o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;}
template <class T>ostream &operator<<(ostream &o, const multiset<T>&obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr) o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;}
template <class T>ostream &operator<<(ostream &o, const vector<T>&obj) {o << "{"; for (int i = 0; i < (int)obj.size(); ++i)o << (i > 0 ? ", " : "") << obj[i]; o << "}"; return o;}
template <class T, class U>ostream &operator<<(ostream &o, const pair<T, U>&obj) {o << "{" << obj.first << ", " << obj.second << "}"; return o;}
template <template <class tmp>  class T, class U> ostream &operator<<(ostream &o, const T<U> &obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr)o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;}
void print(void) {cout << endl;}
template <class Head> void print(Head&& head) {cout << head;print();}
template <class Head, class... Tail> void print(Head&& head, Tail&&... tail) {cout << head << " ";print(forward<Tail>(tail)...);}
template <class T> void chmax(T& a, const T b){a=max(a,b);}
template <class T> void chmin(T& a, const T b){a=min(a,b);}
void YN(bool flg) {cout << (flg ? "YES" : "NO") << endl;}
void Yn(bool flg) {cout << (flg ? "Yes" : "No") << endl;}
void yn(bool flg) {cout << (flg ? "yes" : "no") << endl;}


template<long long mod> class ModInt {
public:
	long long x;
	constexpr ModInt():x(0) {
		// do nothing
	}
	constexpr ModInt(long long y) : x(y>=0?(y%mod): (mod - (-y)%mod)%mod) {
		// do nothing
	}
	ModInt &operator+=(const ModInt &p) {
		if((x += p.x) >= mod) x -= mod;
		return *this;
	}
	ModInt &operator+=(const long long y) {
		ModInt p(y);
		if((x += p.x) >= mod) x -= mod;
		return *this;
	}
	ModInt &operator+=(const int y) {
		ModInt p(y);
		if((x += p.x) >= mod) x -= mod;
		return *this;
	}
	ModInt &operator-=(const ModInt &p) {
		if((x += mod - p.x) >= mod) x -= mod;
		return *this;
	}
	ModInt &operator-=(const long long y) {
		ModInt p(y);
		if((x += mod - p.x) >= mod) x -= mod;
		return *this;
	}
	ModInt &operator-=(const int y) {
		ModInt p(y);
		if((x += mod - p.x) >= mod) x -= mod;
		return *this;
	}
	ModInt &operator*=(const ModInt &p) {
		x = (x * p.x % mod);
		return *this;
	}
	ModInt &operator*=(const long long y) {
		ModInt p(y);
		x = (x * p.x % mod);
		return *this;
	}
	ModInt &operator*=(const int y) {
		ModInt p(y);
		x = (x * p.x % mod);
		return *this;
	}
	ModInt &operator/=(const ModInt &p) {
		*this *= p.inv();
		return *this;
	}
	ModInt &operator/=(const long long y) {
		ModInt p(y);
		*this *= p.inv();
		return *this;
	}
	ModInt &operator/=(const int y) {
		ModInt p(y);
		*this *= p.inv();
		return *this;
	}
	ModInt operator=(const int y) {
		ModInt p(y);
		*this = p;
		return *this;
	}
	ModInt operator=(const long long y) {
		ModInt p(y);
		*this = p;
		return *this;
	}
	ModInt operator-() const { return ModInt(-x); }
	ModInt operator++() { 
		x++;
		if(x>=mod) x-=mod;
		return *this; 
	}
	ModInt operator--() { 
		x--;
		if(x<0) x+=mod;
		return *this; 
	}
	ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }
	ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }
	ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }
	ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }
	bool operator==(const ModInt &p) const { return x == p.x; }
	bool operator!=(const ModInt &p) const { return x != p.x; }
	ModInt inv() const {
		int a = x, b = mod, u = 1, v = 0, t;
		while(b > 0) {
			t = a / b;
			swap(a -= t * b, b);
			swap(u -= t * v, v);
		}
		return ModInt(u);
	}
	ModInt pow(long long n) const {
		ModInt ret(1), mul(x);
		while(n > 0) {
			if(n & 1) ret *= mul;
			mul *= mul;
			n >>= 1;
		}
		return ret;
	}
	friend ostream &operator<<(ostream &os, const ModInt &p) {
		return os << p.x;
	}
	friend istream &operator>>(istream &is, ModInt &a) {
		long long t;
		is >> t;
		a = ModInt<mod>(t);
		return (is);
	}
};
using modint = ModInt<MOD>;

//Matrix_Repeated_Multiplication_Mod O((N^3)(logK))
template <class T,int N> class Matrix {
public:
	inline static array<array<T,N>,N> pow(array<array<T,N>,N> matrix, long long K){
		array<array<T,N>,N> res,tmp;
		for (int i = 0; i < N; ++i) for (int j = 0; j < N; ++j) res[i][j] = (i == j);
		for (; K > 0; K /= 2) {
			if (K & 1) {
				for (int i = 0; i < N; ++i) for (int j = 0; j < N; ++j) tmp[i][j] = 0;
				for (int i = 0; i < N; ++i) for (int j = 0; j < N; ++j) for (int k = 0; k < N; ++k) tmp[i][j] += matrix[i][k] * res[k][j];
				res = tmp;
			}
			for (int i = 0; i < N; ++i) for (int j = 0; j < N; ++j) tmp[i][j] = 0;
			for (int i = 0; i < N; ++i) for (int j = 0; j < N; ++j) for (int k = 0; k < N; ++k) tmp[i][j] += matrix[i][k] * matrix[k][j];
			matrix = tmp;
		}
		return res;
	}
};

//verify  https://atcoder.jp/contests/dp/tasks/dp_r

int main() {
    using matrix = array<array<modint,50>,50>;
    matrix m;
    for(int i = 0; i < 50; ++i) {
        for(int j = 0; j < 50; ++j) m[i][j] = 0;
    }
    ll M,K; cin >> M >> K;
    {
        for(int j = 0; j < M; ++j) {
            for(int k = 0; k < M; ++k) {
                m[(j+k)%M][j]+=1;
                m[(j*k)%M][j]+=1;
            }
        }
    }
    m = Matrix<modint,50>::pow(m,K);
    cout << m[0][0] << endl;

    return 0;
}

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結果

テストケース

ソースコード