結果

問題 No.978 Fibonacci Convolution Easy
ユーザー pazzle1230pazzle1230
提出日時 2020-01-31 21:34:21
言語 C++14
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 16 ms / 2,000 ms
コード長 4,636 bytes
コンパイル時間 1,635 ms
コンパイル使用メモリ 171,476 KB
実行使用メモリ 4,348 KB
最終ジャッジ日時 2023-10-19 00:56:44
合計ジャッジ時間 2,512 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge13
このコードへのチャレンジ（β）

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
4,348 KB
testcase_01 AC 7 ms
4,348 KB
testcase_02 AC 5 ms
4,348 KB
testcase_03 AC 16 ms
4,348 KB
testcase_04 AC 6 ms
4,348 KB
testcase_05 AC 3 ms
4,348 KB
testcase_06 AC 7 ms
4,348 KB
testcase_07 AC 11 ms
4,348 KB
testcase_08 AC 9 ms
4,348 KB
testcase_09 AC 12 ms
4,348 KB
testcase_10 AC 16 ms
4,348 KB
testcase_11 AC 6 ms
4,348 KB
testcase_12 AC 3 ms
4,348 KB
testcase_13 AC 7 ms
4,348 KB
testcase_14 AC 3 ms
4,348 KB
testcase_15 AC 7 ms
4,348 KB
testcase_16 AC 16 ms
4,348 KB
testcase_17 AC 16 ms
4,348 KB
testcase_18 AC 2 ms
4,348 KB
testcase_19 AC 2 ms
4,348 KB
testcase_20 AC 2 ms
4,348 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 # 

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

#define INF_LL (int64)1e18
#define INF (int32)1e9
#define REP(i, n) for(int64 i = 0;i < (n);i++)
#define FOR(i, a, b) for(int64 i = (a);i < (b);i++)
#define all(x) x.begin(),x.end()
#define fs first
#define sc second

using int32 = int_fast32_t;
using uint32 = uint_fast32_t;
using int64 = int_fast64_t;
using uint64 = uint_fast64_t;
using PII = pair<int32, int32>;
using PLL = pair<int64, int64>;

const double eps = 1e-10;

template<typename A, typename B>inline void chmin(A &a, B b){if(a > b) a = b;}
template<typename A, typename B>inline void chmax(A &a, B b){if(a < b) a = b;}

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...);
}

class UnionFind{
private:
  ::std::vector<int_fast32_t> par;
  size_t n;

public:
  UnionFind(){}
  UnionFind(size_t n):n(n){
    par.resize(n, -1);
  }

  uint_fast32_t find(uint_fast32_t x){
    return par[x] < 0 ? x : par[x] = find(par[x]);
  }

  size_t size(uint_fast32_t x){
    return -par[find(x)];
  }

  bool unite(uint_fast32_t x, uint_fast32_t y){
    x = find(x);
    y = find(y);
    if(x == y) return false;
    if(size(x) < size(y)) std::swap(x, y);
    par[x] += par[y];
    par[y] = x;
    return true;
  }

  bool same(uint_fast32_t x, uint_fast32_t y){
    return find(x) == find(y);
  }
};
template<::std::uint_fast64_t mod>
class ModInt{
private:
  using value_type = ::std::uint_fast64_t;
  value_type n;
public:
  ModInt() : n(0) {}
  ModInt(value_type n_) : n(n_ % mod) {}
  ModInt(const ModInt& m) : n(m.n) {}

  template<typename T>
  explicit operator T() const { return static_cast<T>(n); }
  value_type get() const { return n; }

  friend ::std::ostream& operator<<(::std::ostream &os, const ModInt<mod> &a) {
    return os << a.n;
  }

  friend ::std::istream& operator>>(::std::istream &is, ModInt<mod> &a) {
    value_type x;
    is >> x;
    a = ModInt<mod>(x);
    return is;
  }

  bool operator==(const ModInt& m) const { return n == m.n; }
  bool operator!=(const ModInt& m) const { return n != m.n; }
  ModInt& operator*=(const ModInt& m){ n = n * m.n % mod; return *this; }

  ModInt pow(value_type b) const{
    ModInt ans = 1, m = ModInt(*this);
    while(b){
      if(b & 1) ans *= m;
      m *= m;
      b >>= 1;
    }
    return ans;
  }

  ModInt inv() const { return (*this).pow(mod-2); }
  ModInt& operator+=(const ModInt& m){ n += m.n; n = (n < mod ? n : n - mod); return *this; }
  ModInt& operator-=(const ModInt& m){ n += mod - m.n; n = (n < mod ? n : n - mod); return *this; }
  ModInt& operator/=(const ModInt& m){ *this *= m.inv(); return *this; }
  ModInt operator+(const ModInt& m) const { return ModInt(*this) += m; }
  ModInt operator-(const ModInt& m) const { return ModInt(*this) -= m; }
  ModInt operator*(const ModInt& m) const { return ModInt(*this) *= m; }
  ModInt operator/(const ModInt& m) const { return ModInt(*this) /= m; }
  ModInt& operator++(){ n += 1; return *this; }
  ModInt& operator--(){ n -= 1; return *this; }
  ModInt operator++(int){
    ModInt old(n);
    n += 1;
    return old;
  }
  ModInt operator--(int){
    ModInt old(n);
    n -= 1;
    return old;
  }
  ModInt operator-() const { return ModInt(mod-n); }
};

template<::std::size_t size, ::std::uint_fast64_t mod=1000000007>
class Factorial{
private:
  using value_type = ModInt<mod>;
  ::std::vector<value_type> fact, inv;
public:
  Factorial() : fact(size+1, 1), inv(size+1, 1){
    for(::std::size_t i = 1; i <= size; ++i){
      fact[i] = fact[i-1] * value_type(i);
      inv[i] = fact[i].inv();
    }
  }

  value_type comb(::std::int64_t a, ::std::int64_t b){
    assert(a >= b);
    assert(b >= 0);
    return fact[a]*inv[b]*inv[a-b];
  }

  value_type& operator[](::std::size_t k){ return fact[k]; }
};

constexpr int64 mod = 1e9+7;
using Mint = ModInt<mod>;
Factorial<2020> f;

int main(void) {
  cin.tie(0);
  ios::sync_with_stdio(false);
  Mint sum = 0;
  Mint a1 = 0, a2 = 1;
  int64 N, p;
  cin >> N >> p;
  if (N == 1) {
    cout << 0 << endl;
    return 0;
  }
  sum += a1 + a2;
  Mint sum2 = a1*a1+a2*a2;
  FOR(i, 2, N) {
    a1 = a2*p + a1;
    swap(a1, a2);
    sum += a2;
    sum2 += a2*a2;
  }
  cout << (sum*sum-sum2)/2 + sum2 << endl;
}
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