結果
| 問題 |
No.980 Fibonacci Convolution Hard
|
| コンテスト | |
| ユーザー |
はまやんはまやん
|
| 提出日時 | 2020-02-01 13:09:05 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 72 ms / 2,000 ms |
| コード長 | 3,296 bytes |
| コンパイル時間 | 2,045 ms |
| コンパイル使用メモリ | 192,820 KB |
| 最終ジャッジ日時 | 2025-01-08 21:43:10 |
|
ジャッジサーバーID (参考情報) |
judge4 / judge1 |
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| ファイルパターン | 結果 |
|---|---|
| other | AC * 17 |
ソースコード
#include<bits/stdc++.h>
#define rep(i,a,b) for(int i=a;i<b;i++)
#define rrep(i,a,b) for(int i=a;i>=b;i--)
#define fore(i,a) for(auto &i:a)
#define all(x) (x).begin(),(x).end()
//#pragma GCC optimize ("-O3")
using namespace std; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); _main(); }
typedef long long ll; const int inf = INT_MAX / 2; const ll infl = 1LL << 60;
template<class T>bool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; }
template<class T>bool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; }
//---------------------------------------------------------------------------------------------------
template<int MOD> struct ModInt {
static const int Mod = MOD; unsigned x; ModInt() : x(0) { }
ModInt(signed sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; }
ModInt(signed long long sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; }
int get() const { return (int)x; }
ModInt& operator+=(ModInt that) { if ((x += that.x) >= MOD) x -= MOD; return *this; }
ModInt& operator-=(ModInt that) { if ((x += MOD - that.x) >= MOD) x -= MOD; return *this; }
ModInt& operator*=(ModInt that) { x = (unsigned long long)x * that.x % 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 {
long long a = x, b = MOD, u = 1, v = 0;
while (b) { long long t = a / b; a -= t * b; std::swap(a, b); u -= t * v; std::swap(u, v); }
return ModInt(u);
}
bool operator==(ModInt that) const { return x == that.x; }
bool operator!=(ModInt that) const { return x != that.x; }
ModInt operator-() const { ModInt t; t.x = x == 0 ? 0 : Mod - x; return t; }
};
template<int MOD> ostream& operator<<(ostream& st, const ModInt<MOD> a) { st << a.get(); return st; };
template<int MOD> ModInt<MOD> operator^(ModInt<MOD> a, unsigned long long k) {
ModInt<MOD> r = 1; while (k) { if (k & 1) r *= a; a *= a; k >>= 1; } return r;
}
typedef ModInt<1000000007> mint;
/*---------------------------------------------------------------------------------------------------
∧_∧
∧_∧ (´<_` ) Welcome to My Coding Space!
( ´_ゝ`) / ⌒i @hamayanhamayan0
/ \ | |
/ / ̄ ̄ ̄ ̄/ |
__(__ニつ/ _/ .| .|____
\/____/ (u ⊃
---------------------------------------------------------------------------------------------------*/
int p, Q;
mint B[2010101];
//---------------------------------------------------------------------------------------------------
void _main() {
cin >> p >> Q;
B[4] = 1;
rep(i, 5, 2010101) {
B[i] = B[i - 1] * 2 * p
+ (mint(2) - mint(p) * mint(p)) * B[i - 2]
- B[i - 3] * 2 * p
- B[i - 4];
}
rep(_, 0, Q) {
int q; cin >> q;
printf("%d\n", B[q].get());
}
}
はまやんはまやん