結果

問題 No.1043 直列大学
ユーザー HaarHaar
提出日時 2020-05-01 21:59:51
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
RE  
実行時間 -
コード長 5,177 bytes
コンパイル時間 2,443 ms
コンパイル使用メモリ 210,748 KB
実行使用メモリ 8,048 KB
最終ジャッジ日時 2024-06-07 06:46:53
合計ジャッジ時間 5,581 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge1
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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 8 ms
8,040 KB
testcase_01 AC 7 ms
7,912 KB
testcase_02 AC 9 ms
7,912 KB
testcase_03 AC 7 ms
7,912 KB
testcase_04 AC 7 ms
7,916 KB
testcase_05 AC 7 ms
7,916 KB
testcase_06 AC 7 ms
7,912 KB
testcase_07 AC 8 ms
7,912 KB
testcase_08 AC 8 ms
7,912 KB
testcase_09 AC 26 ms
7,912 KB
testcase_10 AC 30 ms
8,048 KB
testcase_11 AC 43 ms
7,916 KB
testcase_12 RE -
testcase_13 RE -
testcase_14 RE -
testcase_15 RE -
testcase_16 RE -
testcase_17 RE -
testcase_18 AC 34 ms
7,884 KB
testcase_19 RE -
testcase_20 RE -
testcase_21 AC 44 ms
7,920 KB
testcase_22 AC 46 ms
7,920 KB
testcase_23 AC 60 ms
7,916 KB
testcase_24 AC 38 ms
7,916 KB
testcase_25 AC 47 ms
8,040 KB
testcase_26 AC 52 ms
7,920 KB
testcase_27 AC 24 ms
7,920 KB
testcase_28 AC 41 ms
7,920 KB
testcase_29 AC 16 ms
7,912 KB
testcase_30 AC 41 ms
7,920 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>


template <uint32_t M> class ModInt{
public:
  uint64_t val;
  
  constexpr ModInt(): val(0){}
  constexpr ModInt(std::int64_t n){
    if(n >= M) val = n % M;
    else if(n < 0) val = n % M + M;
    else val = n;
  }
  
  inline constexpr auto operator+(const ModInt &a) const {return ModInt(val + a.val);}
  inline constexpr auto operator-(const ModInt &a) const {return ModInt(val - a.val);}
  inline constexpr auto operator*(const ModInt &a) const {return ModInt(val * a.val);}
  inline constexpr auto operator/(const ModInt &a) const {return ModInt(val * a.inv().val);}
  
  inline constexpr auto& operator=(const ModInt &a){val = a.val; return *this;}
  inline constexpr auto& operator+=(const ModInt &a){if((val += a.val) >= M) val -= M; return *this;}
  inline constexpr auto& operator-=(const ModInt &a){if(val < a.val) val += M; val -= a.val; return *this;}
  inline constexpr auto& operator*=(const ModInt &a){(val *= a.val) %= M; return *this;}
  inline constexpr auto& operator/=(const ModInt &a){(val *= a.inv().val) %= M; return *this;}
 
  inline constexpr bool operator==(const ModInt &a) const {return val == a.val;}
  inline constexpr bool operator!=(const ModInt &a) const {return val != a.val;}
 
  inline constexpr auto& operator++(){*this += 1; return *this;}
  inline constexpr auto& operator--(){*this -= 1; return *this;}
 
  inline constexpr auto operator++(int){auto t = *this; *this += 1; return t;}
  inline constexpr auto operator--(int){auto t = *this; *this -= 1; return t;}
 
  inline constexpr static ModInt power(int64_t n, int64_t p){
    if(p < 0) return power(n, -p).inv();
    
    int64_t ret = 1, e = n;
    for(; p; (e *= e) %= M, p >>= 1) if(p & 1) (ret *= e) %= M;
    return ret;
  }
 
  inline constexpr static ModInt inv(int64_t a){
    int64_t b = M, u = 1, v = 0;
    
    while(b){
      int64_t t = a / b;
      a -= t * b; std::swap(a,b);
      u -= t * v; std::swap(u,v);
    }
 
    u %= M;
    if(u < 0) u += M;
    
    return u;
  }
 
  inline constexpr static auto frac(int64_t a, int64_t b){return ModInt(a) / ModInt(b);}
  
  inline constexpr auto power(int64_t p) const {return power(val, p);}
  inline constexpr auto inv() const {return inv(val);}
 
  friend inline constexpr auto operator-(const ModInt &a){return ModInt(-a.val);}
 
  friend inline constexpr auto operator+(int64_t a, const ModInt &b){return ModInt(a) + b;}
  friend inline constexpr auto operator-(int64_t a, const ModInt &b){return ModInt(a) - b;}
  friend inline constexpr auto operator*(int64_t a, const ModInt &b){return ModInt(a) * b;}
  friend inline constexpr auto operator/(int64_t a, const ModInt &b){return ModInt(a) / b;}
 
  friend std::istream& operator>>(std::istream &s, ModInt<M> &a){s >> a.val; return s;}
  friend std::ostream& operator<<(std::ostream &s, const ModInt<M> &a){s << a.val; return s;}

  template <int N>
  inline static auto div(){
    static auto value = inv(N);
    return value;
  }
};


template <typename T, typename Add = std::plus<T>, typename Minus = std::minus<T>>
class CumulativeSum1D{
  std::vector<T> data;
  const int N;
  const Add add;
  const Minus minus;
  bool is_built = false;

public:
  CumulativeSum1D(const std::vector<T> &a, const T &e = 0, const Add &add = Add(), const Minus &minus = Minus()):
    N(a.size()), add(add), minus(minus)
  {
    data.assign(N+1, e);
    for(int i = 0; i < N; ++i) data[i+1] = a[i];
  }

  CumulativeSum1D(int N, const T &e = 0, const Add &add = Add(), const Minus &minus = Minus()):
    N(N), add(add), minus(minus)
  {
    data.assign(N+1, e);
  }

  inline void update(int i, const T &val){
    assert(not is_built);
    data[i+1] = add(data[i+1], val);
  }

  inline void build(){
    assert(not is_built);
    for(int i = 0; i < N; ++i) data[i+1] = add(data[i+1], data[i]);
    is_built = true;
  }
  
  /**
   * @attention [i, j)
   */
  inline T get(int i, int j) const {
    assert(is_built);
    return minus(data[j], data[i]);
  }
};



using mint = ModInt<1000000007>;

const int MAX = 100 * 1000 + 100;

int main(){
  int N, M; std::cin >> N >> M;

  std::vector<int> V(N), R(M);
  for(int i = 0; i < N; ++i) std::cin >> V[i];
  for(int i = 0; i < M; ++i) std::cin >> R[i];

  int A, B; std::cin >> A >> B;

  mint ans = 0;

  
  std::vector<std::vector<mint>> dpv(2, std::vector<mint>(MAX + 1));
  dpv[0][0] = 1;
  for(int i = 0; i < N; ++i){
    int cur = i % 2, nxt = (i + 1) % 2;
    for(int j = 0; j <= MAX; ++j){
      if(j >= V[i]) dpv[nxt][j] = dpv[cur][j-V[i]] + dpv[cur][j];
      else dpv[nxt][j] = dpv[cur][j];
    }
  }

  CumulativeSum1D<mint> c(dpv[N%2]);
  c.build();

  std::vector<std::vector<mint>> dpr(2, std::vector<mint>(MAX + 1));
  dpr[0][0] = 1;
  for(int i = 0; i < M; ++i){
    int cur = i % 2, nxt = (i + 1) % 2;
    for(int j = 0; j <= MAX; ++j){
      if(j >= R[i]) dpr[nxt][j] = dpr[cur][j-R[i]] + dpr[cur][j];
      else dpr[nxt][j] = dpr[cur][j];
    }
  }
  
  for(int r = 1; r <= MAX; ++r){
    int lb = r * A;
    if(lb > MAX) lb = MAX;
    int ub = r * B;
    if(ub > MAX) ub = MAX;
    ans += dpr[M%2][r] * c.get(lb, ub+1);
  }
  
  std::cout << ans << std::endl;
  
  return 0;
}
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