結果

問題 No.978 Fibonacci Convolution Easy
ユーザー asdf1asdf1
提出日時 2020-01-31 22:03:22
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 26 ms / 2,000 ms
コード長 3,606 bytes
コンパイル時間 2,243 ms
コンパイル使用メモリ 204,272 KB
実行使用メモリ 19,144 KB
最終ジャッジ日時 2023-10-19 01:02:39
合計ジャッジ時間 3,274 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge11
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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 2 ms
4,348 KB
testcase_01 AC 11 ms
10,332 KB
testcase_02 AC 7 ms
8,284 KB
testcase_03 AC 24 ms
18,524 KB
testcase_04 AC 8 ms
8,284 KB
testcase_05 AC 4 ms
6,236 KB
testcase_06 AC 10 ms
10,332 KB
testcase_07 AC 17 ms
14,428 KB
testcase_08 AC 12 ms
10,332 KB
testcase_09 AC 19 ms
16,476 KB
testcase_10 AC 26 ms
19,116 KB
testcase_11 AC 9 ms
8,284 KB
testcase_12 AC 4 ms
6,236 KB
testcase_13 AC 10 ms
10,332 KB
testcase_14 AC 5 ms
6,236 KB
testcase_15 AC 12 ms
10,332 KB
testcase_16 AC 26 ms
19,144 KB
testcase_17 AC 26 ms
19,100 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 # 

#pragma target("avx")
#include <bits/stdc++.h>

using namespace std;

template <std::uint_fast64_t Modulus>
class modint {
  using u64 = std::uint_fast64_t;

 public:
  u64 a;

  constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {}
  constexpr u64 &value() noexcept { return a; }
  constexpr const u64 &value() const noexcept { return a; }
  constexpr modint operator+(const modint rhs) const noexcept {
    return modint(*this) += rhs;
  }
  constexpr modint operator-(const modint rhs) const noexcept {
    return modint(*this) -= rhs;
  }
  constexpr modint operator*(const modint rhs) const noexcept {
    return modint(*this) *= rhs;
  }
  constexpr modint operator/(const modint rhs) const noexcept {
    return modint(*this) /= rhs;
  }
  constexpr modint &operator+=(const modint rhs) noexcept {
    a += rhs.a;
    if (a >= Modulus) {
      a -= Modulus;
    }
    return *this;
  }
  constexpr modint &operator-=(const modint rhs) noexcept {
    if (a < rhs.a) {
      a += Modulus;
    }
    a -= rhs.a;
    return *this;
  }
  constexpr modint &operator*=(const modint rhs) noexcept {
    a = a * rhs.a % Modulus;
    return *this;
  }
  constexpr modint &operator/=(modint rhs) noexcept {
    u64 exp = Modulus - 2;
    while (exp) {
      if (exp % 2) {
        *this *= rhs;
      }
      rhs *= rhs;
      exp /= 2;
    }
    return *this;
  }
};

typedef long long ll;
typedef long double ld;
typedef pair<ll, ll> P;
typedef vector<ll> V;
typedef unordered_map<ll, ll> U_MAP;
typedef priority_queue<ll> pq;
typedef priority_queue<ll, vector<ll>, greater<ll>> rpq;
const int INF = 1e9, MOD = 1e9 + 7, ohara = 2e6 + 10;
const ll LINF = 1e18;

#define rep(i, n) for (ll(i) = 0; (i) < (int)(n); (i)++)
#define rrep(i, a, b) for (ll i = (a); i < (b); i++)
#define rrrep(i, a, b) for (ll i = (a); i >= (b); i--)
#define all(v) (v).begin(), (v).end()
#define Size(n) (n).size()
#define Cout(x) cout << (x) << endl
#define doublecout(a) cout << fixed << setprecision(15) << a << endl;
#define fi first
#define se second
#define m_p make_pair
#define p_b push_back
string to_string(string s) { return '"' + s + '"'; }
string to_string(const char *s) { return to_string((string)s); }
string to_string(bool b) { return (b ? "true" : "false"); }
template <typename A, typename B>
string to_string(pair<A, B> p) {
  return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}
template <typename A>
string to_string(A v) {
  bool first = true;
  string res = "{";
  for (const auto &x : v) {
    if (!first) {
      res += ", ";
    }
    first = false;
    res += to_string(x);
  }
  res += "}";
  return res;
}
void debug_out() { cerr << endl; }
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
  cerr << " " << to_string(H);
  debug_out(T...);
}
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)

//------ Believe yourself as a genius!!!!!! ------

int dy[] = {1, 0, -1, 0};
int dx[] = {0, 1, 0, -1};
// int dy[]={-1,0,1,-1,1,-1,0,1};int dx[]={-1,-1,-1,0,0,1,1,1};
string alph("abcdefghijklmnopqrstuvwxyz"), s;
ll n, cnt, ans, a[ohara], b, c, d, tmp, m, h, w, x, y, k, q, p;
ll gen;

int main(void) {
  cin.tie(0);
  cout.tie(0);
  ios::sync_with_stdio(false);

  using mint = modint<MOD>;

  cin >> n >> p;
  a[0] = 0;
  a[1] = 1;
  rrep(i, 2, n) {
    a[i] = p * a[i - 1] + a[i - 2];
    a[i] %= MOD;
  }
  mint sum = mint(0), gen = mint(0);
  rep(i, n) { sum += (mint)a[i]; }
  sum = sum * sum;
  rep(i, n) { gen += (mint)(a[i] * a[i]); }
  gen = sum - gen;
  gen /= 2;
  sum -= gen;
  Cout(sum.value());
  return 0;
}
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