結果

問題 No.980 Fibonacci Convolution Hard
ユーザー snteasntea
提出日時 2020-02-16 05:27:34
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 179 ms / 2,000 ms
コード長 5,119 bytes
コンパイル時間 2,348 ms
コンパイル使用メモリ 184,904 KB
実行使用メモリ 19,796 KB
最終ジャッジ日時 2024-04-16 03:28:49
合計ジャッジ時間 8,806 ms
ジャッジサーバーID
（参考情報） 		judge4 / 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 179 ms
19,620 KB
testcase_01 AC 173 ms
19,632 KB
testcase_02 AC 171 ms
19,744 KB
testcase_03 AC 171 ms
19,520 KB
testcase_04 AC 170 ms
19,772 KB
testcase_05 AC 173 ms
19,708 KB
testcase_06 AC 171 ms
19,620 KB
testcase_07 AC 172 ms
19,792 KB
testcase_08 AC 171 ms
19,692 KB
testcase_09 AC 172 ms
19,712 KB
testcase_10 AC 173 ms
19,768 KB
testcase_11 AC 173 ms
19,564 KB
testcase_12 AC 173 ms
19,796 KB
testcase_13 AC 169 ms
19,592 KB
testcase_14 AC 169 ms
19,648 KB
testcase_15 AC 170 ms
19,688 KB
testcase_16 AC 47 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

diff # 

#ifdef LOCAL111
	#define _GLIBCXX_DEBUG
#else
	#pragma GCC optimize ("O3")
	#define NDEBUG
#endif
// #define _USE_MATH_DEFINES
#include <bits/stdc++.h>
const int INF = 1e9;
using namespace std;
template<typename T, typename U> ostream& operator<< (ostream& os, const pair<T,U>& p) { os << '(' << p.first << ' ' << p.second << ')'; return os; }

#define endl '\n'
#define ALL(a)  (a).begin(),(a).end()
#define SZ(a) int((a).size())
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define RFOR(i,a,b) for (int i=(b)-1;i>=(a);i--)
#define REP(i,n)  FOR(i,0,n)
#define RREP(i,n) for (int i=(n)-1;i>=0;i--)
#ifdef LOCAL111
	#define DEBUG(x) cout<<#x<<": "<<(x)<<endl
	template<typename T> void dpite(T a, T b){ for(T ite = a; ite != b; ite++) cout << (ite == a ? "" : " ") << *ite; cout << endl;}
#else
	#define DEBUG(x) true
	template<typename T> void dpite(T a, T b){ return; }
#endif
#define F first
#define S second
#define SNP string::npos
#define WRC(hoge) cout << "Case #" << (hoge)+1 << ": "
template<typename T> void pite(T a, T b){ for(T ite = a; ite != b; ite++) cout << (ite == a ? "" : " ") << *ite; cout << endl;}
template<typename T> bool chmax(T& a, T b){if(a < b){a = b; return true;} return false;}
template<typename T> bool chmin(T& a, T b){if(a > b){a = b; return true;} return false;}

template<typename T>
vector<T> make_v(size_t a){return vector<T>(a);}

template<typename T,typename... Ts>
auto make_v(size_t a,Ts... ts){
  return vector<decltype(make_v<T>(ts...))>(a,make_v<T>(ts...));
}

template<typename T,typename U,typename... V>
typename enable_if<is_same<T, U>::value!=0>::type
fill_v(U &u,const V... v){u=U(v...);}

template<typename T,typename U,typename... V>
typename enable_if<is_same<T, U>::value==0>::type
fill_v(U &u,const V... v){
  for(auto &e:u) fill_v<T>(e,v...);
}

const array<int, 4> dx = {0, 1, 0, -1};
const array<int, 4> dy = {1, 0, -1, 0};


typedef long long int LL;
typedef unsigned long long ULL;
typedef pair<int,int> P;

void ios_init(){
	//cout.setf(ios::fixed);
	//cout.precision(12);
#ifdef LOCAL111
	return;
#endif
	ios::sync_with_stdio(false); cin.tie(0);
}


template<long long MOD>
class ModInt {
public:
	const static long long mod = MOD;
	long long x;
	
	ModInt() {
		x = 0;
	}

	ModInt(long long x) {
		x %= mod;
		this->x = x < 0 ? x+mod : x;
	}

	int get() const {
		return (int)x;
	}

	ModInt &operator+=(ModInt that) {
		if((x += that.get()) >= mod) x -= mod;
		return *this;
	}

	ModInt &operator-=(ModInt that) {
		if((x += mod-that.get()) >= mod) x -= mod;
		return *this;
	}

	ModInt &operator*=(ModInt that) {
		x = x*that.get()%mod;
		return *this;
	}

	ModInt &operator/=(ModInt that) {
		return *this *= that.inverse();
	}

	ModInt operator+(ModInt that) const {
		return ModInt(*this) += that;
	}

	ModInt operator-(ModInt that) const {
		return ModInt(*this) -= that;
	}

	ModInt operator*(ModInt that) const {
		return ModInt(*this) *= that;
	}

	ModInt operator/(ModInt that) const {
		return ModInt(*this) /= that;
	}

	ModInt inverse() const {
		using std::swap;
		long long a = x, b = mod, u = 1, v = 0;
		while(b) {
			long long t = a/b;
			a -= t*b; swap(a,b);
			u -= t*v; swap(u,v);
		}
		return ModInt(u);
	}

	ModInt pow(int n) const{
		ModInt b = *this;
		ModInt res = 1;
		while(n != 0) {
			if(n&1){
				res *= b;
			}
			b *= b;
			n >>= 1;
		}
		return res;
	}

	bool operator==(ModInt that) const { return x == that.get(); }
	bool operator!=(ModInt that) const { return x != that.get(); }
	ModInt operator-() const { return x == 0 ? 0 : ModInt(mod-x); }
};

template<long long MOD> ostream& operator<< (ostream& os, const ModInt<MOD>& m) { os << m.get(); return os; }
template<long long MOD> istream& operator>> (istream& is, ModInt<MOD>& m){ long long n; is >> n; m = n; return is;}
typedef ModInt<1000000007> mint;



class ConvQuery {
	vector<mint> fac;
	vector<mint> facinv;

public:
	
	ConvQuery(int n) {
		fac = vector<mint>(n+1);
		facinv = vector<mint>(n+1);
		fac[0] = 1;
		facinv[0] = 1;
		for(int i = 0; i < n; ++i) {
			fac[i+1] = fac[i]*(i+1);
			facinv[i+1] = fac[i+1].inverse();
		}
	}

	mint operator()(int n, int m) {
		if(n >= 0 and 0 <= m and m <= n) return fac[n]*facinv[n-m]*facinv[m];
		else return 0;
	}
};

using Poly = vector<mint>;

Poly mul(const Poly& x, const Poly& y) {
	Poly res(SZ(x) + SZ(y) - 1);
	REP(i, SZ(x)) REP(j, SZ(y)) {
		res[i + j] += x[i] * y[j];
	}
	return res;
}

Poly div(const Poly& x, const Poly& y, int k) {
	Poly res(k);
	deque<mint> rem(ALL(x));
	while(SZ(rem) < SZ(y)) {
		rem.push_back(0);
	}
	REP(i, k) {
		mint co = rem[0] / y[0];
		res[i] = co;
		REP(j, SZ(y)) {
			rem[j] -= co * y[j];
		}
		rem.pop_front();
		if(SZ(rem) < SZ(y)) {
			rem.push_back(0);
		}
	}
	return res;
}


int main()
{
	ios_init();
	int p;
	while(cin >> p) {
		int nq;
		cin >> nq;
		vector<int> q(nq);
		REP(i, nq) {
			cin >> q[i];
			q[i]--;
		}
		int ma = *max_element(ALL(q));
		Poly x = {0, 1};
		Poly y = {1, -p, -1};
		x = mul(x, x);
		y = mul(y, y);
		auto pol = div(x, y, ma + 1);
		dpite(ALL(pol));
		REP(i, nq) {
			cout << pol[q[i] - 1] << endl;
		}
		// auto pol = div();
	}
	return 0;
}
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