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 12.3.0 + boost 1.83.0) |
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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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 | 167 ms
19,584 KB |
testcase_01 | AC | 163 ms
19,636 KB |
testcase_02 | AC | 161 ms
19,568 KB |
testcase_03 | AC | 161 ms
19,644 KB |
testcase_04 | AC | 164 ms
19,676 KB |
testcase_05 | AC | 160 ms
19,660 KB |
testcase_06 | AC | 163 ms
19,620 KB |
testcase_07 | AC | 168 ms
19,700 KB |
testcase_08 | AC | 168 ms
19,648 KB |
testcase_09 | AC | 160 ms
19,676 KB |
testcase_10 | AC | 159 ms
19,676 KB |
testcase_11 | AC | 162 ms
19,688 KB |
testcase_12 | AC | 161 ms
19,712 KB |
testcase_13 | AC | 160 ms
19,644 KB |
testcase_14 | AC | 159 ms
19,624 KB |
testcase_15 | AC | 165 ms
19,640 KB |
testcase_16 | AC | 45 ms
5,632 KB |
ソースコード
#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; }