結果

問題 No.980 Fibonacci Convolution Hard
ユーザー sntea
提出日時 2020-02-16 05:27:34
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 168 ms / 2,000 ms
コード長 5,119 bytes
コンパイル時間 2,167 ms
コンパイル使用メモリ 187,612 KB
実行使用メモリ 19,712 KB
最終ジャッジ日時 2024-10-06 14:18:55
合計ジャッジ時間 8,837 ms
ジャッジサーバーID
(参考情報)
judge5 / judge4
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ファイルパターン 結果
other AC * 17
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ソースコード

diff #
プレゼンテーションモードにする

#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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