結果

問題 No.895 MESE
ユーザー HaarHaar
提出日時 2019-09-27 22:08:54
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 145 ms / 2,000 ms
コード長 7,414 bytes
コンパイル時間 2,265 ms
コンパイル使用メモリ 210,492 KB
実行使用メモリ 19,396 KB
最終ジャッジ日時 2024-09-24 15:35:21
合計ジャッジ時間 5,283 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge2
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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 10 ms
11,056 KB
testcase_01 AC 10 ms
11,080 KB
testcase_02 AC 10 ms
11,024 KB
testcase_03 AC 11 ms
10,996 KB
testcase_04 AC 10 ms
11,016 KB
testcase_05 AC 10 ms
11,032 KB
testcase_06 AC 12 ms
11,044 KB
testcase_07 AC 10 ms
10,996 KB
testcase_08 AC 11 ms
11,056 KB
testcase_09 AC 10 ms
11,036 KB
testcase_10 AC 12 ms
11,028 KB
testcase_11 AC 11 ms
11,156 KB
testcase_12 AC 10 ms
10,896 KB
testcase_13 AC 88 ms
14,968 KB
testcase_14 AC 80 ms
15,112 KB
testcase_15 AC 104 ms
15,124 KB
testcase_16 AC 91 ms
15,264 KB
testcase_17 AC 69 ms
14,968 KB
testcase_18 AC 142 ms
19,064 KB
testcase_19 AC 145 ms
19,188 KB
testcase_20 AC 142 ms
19,184 KB
testcase_21 AC 143 ms
19,124 KB
testcase_22 AC 143 ms
19,248 KB
testcase_23 AC 144 ms
19,180 KB
testcase_24 AC 144 ms
19,396 KB
testcase_25 AC 143 ms
19,156 KB
testcase_26 AC 144 ms
19,200 KB
testcase_27 AC 144 ms
19,196 KB
testcase_28 AC 144 ms
19,180 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>
#define LLI long long int
#define FOR(v, a, b) for(LLI v = (a); v < (b); ++v)
#define FORE(v, a, b) for(LLI v = (a); v <= (b); ++v)
#define REP(v, n) FOR(v, 0, n)
#define REPE(v, n) FORE(v, 0, n)
#define REV(v, a, b) for(LLI v = (a); v >= (b); --v)
#define ALL(x) (x).begin(), (x).end()
#define RALL(x) (x).rbegin(), (x).rend()
#define ITR(it, c) for(auto it = (c).begin(); it != (c).end(); ++it)
#define RITR(it, c) for(auto it = (c).rbegin(); it != (c).rend(); ++it)
#define EXIST(c,x) ((c).find(x) != (c).end())
#define fst first
#define snd second
#define popcount __builtin_popcount
#define UNIQ(v) (v).erase(unique(ALL(v)), (v).end())
#define bit(i) (1LL<<(i))

#ifdef DEBUG
#include <misc/C++/Debug.cpp>
#else
#define dump(...) ((void)0)
#endif

#define gcd __gcd

using namespace std;
template <class T> constexpr T lcm(T m, T n){return m/gcd(m,n)*n;}

template <typename I> void join(ostream &ost, I s, I t, string d=" "){for(auto i=s; i!=t; ++i){if(i!=s)ost<<d; ost<<*i;}ost<<endl;}
template <typename T> istream& operator>>(istream &is, vector<T> &v){for(auto &a : v) is >> a; return is;}

template <typename T, typename U> bool chmin(T &a, const U &b){return (a>b ? a=b, true : false);}
template <typename T, typename U> bool chmax(T &a, const U &b){return (a<b ? a=b, true : false);}
template <typename T, size_t N, typename U> void fill_array(T (&a)[N], const U &v){fill((U*)a, (U*)(a+N), v);}

struct Init{
  Init(){
    cin.tie(0);
    ios::sync_with_stdio(false);
  }
}init;

const LLI mod = 1e9+7;

template <uint32_t M> class ModInt{
public:
  uint64_t val;
  ModInt(): val(0){}
  ModInt(int64_t n){
    if(n >= M) val = n % M;
    else if(n < 0) val = n % M + M;
    else val = n;
  }
  
  inline constexpr ModInt operator+(const ModInt &a) const {return ModInt((val+a.val)%M);}
  inline constexpr ModInt operator-(const ModInt &a) const {return ModInt((val-a.val+M)%M);}
  inline constexpr ModInt operator*(const ModInt &a) const {return ModInt((val*a.val)%M);}
  inline constexpr ModInt operator/(const ModInt &a) const {return ModInt((val*a.inv().val)%M);}
  
  inline constexpr ModInt& operator=(const ModInt &a){val = a.val; return *this;}
  inline constexpr ModInt& operator+=(const ModInt &a){if((val += a.val) >= M) val -= M; return *this;}
  inline constexpr ModInt& operator-=(const ModInt &a){if(val < a.val) val += M; val -= a.val; return *this;}
  inline constexpr ModInt& operator*=(const ModInt &a){(val *= a.val) %= M; return *this;}
  inline constexpr ModInt& 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 ModInt& operator++(){*this += 1; return *this;}
  inline constexpr ModInt& operator--(){*this -= 1; return *this;}

  inline constexpr ModInt operator++(int){ModInt t = *this; *this += 1; return t;}
  inline constexpr ModInt operator--(int){ModInt t = *this; *this -= 1; return t;}
  
  inline constexpr static ModInt power(int64_t n, int64_t p){
    ModInt ret = 1, e = n;
    for(; p; e *= e, p >>= 1) if(p&1) ret *= e;
    return ret;
  }

  inline constexpr ModInt power(int64_t p) const {return power(val,p);}
  
  inline constexpr ModInt inv() const {
    int64_t a = val, b = M, u = 1, v = 0;

    while(b){
      int64_t t = a/b;
      a -= t*b; swap(a,b);
      u -= t*v; swap(u,v);
    }
    u %= M;
    if(u < 0) u += M;
    
    return u;
  }
};

template <uint32_t M> ModInt<M> operator-(const ModInt<M> &a){return M-a.val;}

template <uint32_t M> ModInt<M> operator+(int64_t a, const ModInt<M> &b){return ModInt<M>(ModInt<M>(a)+b.val);}
template <uint32_t M> ModInt<M> operator-(int64_t a, const ModInt<M> &b){return ModInt<M>(ModInt<M>(a)-b.val);}
template <uint32_t M> ModInt<M> operator*(int64_t a, const ModInt<M> &b){return ModInt<M>(ModInt<M>(a)*b.val);}
template <uint32_t M> ModInt<M> operator/(int64_t a, const ModInt<M> &b){return ModInt<M>(ModInt<M>(a)/b.val);}

template <uint32_t M> istream& operator>>(istream &is, ModInt<M> &a){is >> a.val; return is;}
template <uint32_t M> ostream& operator<<(ostream &os, const ModInt<M> &a){ os << a.val; return os;}

/**
 * @attention 使用前にinit関数を呼び出す
 */
template <typename T> class CombUtilsMint{
public:
  static vector<T> facto;
  static vector<T> ifacto;

  static void init(int N){
    facto.assign(N+1, 1);
    ifacto.assign(N+1, 1);

    FORE(i,1,N){
      facto[i] = facto[i-1] * i;
    }

    ifacto[N] = facto[N].inv();

    REV(i,N-1,0){
      ifacto[i] = ifacto[i+1] * (i+1);
    }
  }

  static T f(int64_t i){
    assert(i < facto.size());
    return facto[i];
  }
  
  static T finv(int64_t i){
    assert(i < ifacto.size());
    return ifacto[i];
  }

  static T P(int64_t n, int64_t k);
  static T C(int64_t n, int64_t k);
  static T H(int64_t n, int64_t k);
  static T stirling_number(int64_t n, int64_t k);
  static T bell_number(int64_t n, int64_t k);
  static vector<T> bernoulli_number(int64_t n);
  static T catalan_number(int64_t n);
};

template <typename T> vector<T> CombUtilsMint<T>::facto = vector<T>();
template <typename T> vector<T> CombUtilsMint<T>::ifacto = vector<T>();

template <typename T> T CombUtilsMint<T>::P(int64_t n, int64_t k){
  if(n < k or n < 0 or k < 0) return 0;
  return f(n) * finv(n-k);
}

template <typename T> T CombUtilsMint<T>::C(int64_t n, int64_t k){
  if(n < k or n < 0 or k < 0) return 0;
  return P(n,k) * finv(k);
}

template <typename T> T CombUtilsMint<T>::H(int64_t n, int64_t k){
  if(n == 0 and k == 0) return 1;
  return C(n+k-1, k);
}



using mint = ModInt<mod>;
using C = CombUtilsMint<mint>;

template <typename T> class LazySegmentTreeRangeAddQuery{
private:
  int size;
  vector<T> vec;
  T e;
  
  inline void propagate(int i){
    if(i<size/2){
      vec[i*2+1] = vec[i] + vec[i*2+1];
      vec[i*2+2] = vec[i] + vec[i*2+2];
      vec[i] = e;
    }
  }
  
  inline void update_aux(int s, int t, int i, int l, int r, const T &x){
    if(r <= s || t <= l) return;
    else if(s <= l && r <= t) vec[i] = vec[i] + x;
    else{
      propagate(i);
      update_aux(s,t,i*2+1,l,(l+r)/2,x);
      update_aux(s,t,i*2+2,(l+r)/2,r,x);
    }
  }
  
  inline void get_aux(int i){
    if(i>0) get_aux((i-1)/2);
    propagate(i);
  }
  
public:
  LazySegmentTreeRangeAddQuery(int n, const T &e): e(e){
    size = 1;
    while(size < n) size *= 2;
    size = size*2-1;
    vec = vector<T>(size, e);
  }

  inline void update(int s, int t, const T &x){
    update_aux(s,t,0,0,size/2+1,x);
  }

  inline T get(int i){
    int j=i+size/2;
    get_aux((j-1)/2);
    return vec[j];
  }
};




int main(){
  C::init(500000);
  
  int a,b,c;
  while(cin >> a >> b >> c){
    int n = a+b+c;

    LazySegmentTreeRangeAddQuery<mint> seg(n, 0);

    FORE(i,c,n-2){
      int m = n-c;
      auto t = C::f(m-1) * C::finv(a-1) * C::finv(b);

      if(i-c-b >= 0) t -= C::f(i-c) * C::finv(b) * C::finv(i-c-b);

      //dump(t);

      if(c != 1){
        auto s = C::f(i-2) * C::finv(c-2) * C::finv(i-2-(c-2));
        seg.update(0, i-1, s*t);
      }

      {
        auto s = C::f(i-1) * C::finv(c-1) * C::finv(i-1-(c-1));
        seg.update(i-1, i, s*t);
      }
    }

    mint ans = 0;
    
    REP(i,n){
      ans += seg.get(i) * mint::power(2,i);
    }


    cout << ans << endl;
  }


  return 0;
}
0