#384128 (C++14) No.895 MESE

• 問題: No.895 MESE
• ユーザー: lumc_
• 提出日時: 2019-09-27 21:40:29
• 言語: C++14 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 28 ms / 2,000 ms
• コード長: 7,672 bytes
• コンパイル時間: 1,010 ms
• コンパイル使用メモリ: 104,752 KB
• 実行使用メモリ: 8,304 KB
• 最終ジャッジ日時: 2024-09-24 21:02:35
• 合計ジャッジ時間: 2,393 ms
• ジャッジサーバーID （参考情報）: judge4 / judge3

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	10 ms; 8,156 KB
testcase_01	AC	11 ms; 8,120 KB
testcase_02	AC	10 ms; 7,992 KB
testcase_03	AC	9 ms; 8,084 KB
testcase_04	AC	10 ms; 8,012 KB
testcase_05	AC	10 ms; 8,048 KB
testcase_06	AC	9 ms; 7,984 KB
testcase_07	AC	10 ms; 8,020 KB
testcase_08	AC	9 ms; 8,220 KB
testcase_09	AC	11 ms; 8,176 KB
testcase_10	AC	10 ms; 8,024 KB
testcase_11	AC	11 ms; 8,132 KB
testcase_12	AC	11 ms; 8,176 KB
testcase_13	AC	22 ms; 8,172 KB
testcase_14	AC	19 ms; 8,168 KB
testcase_15	AC	23 ms; 8,048 KB
testcase_16	AC	21 ms; 8,040 KB
testcase_17	AC	17 ms; 7,996 KB
testcase_18	AC	27 ms; 8,304 KB
testcase_19	AC	27 ms; 7,988 KB
testcase_20	AC	27 ms; 8,060 KB
testcase_21	AC	27 ms; 8,076 KB
testcase_22	AC	28 ms; 7,988 KB
testcase_23	AC	27 ms; 8,068 KB
testcase_24	AC	27 ms; 8,000 KB
testcase_25	AC	27 ms; 8,088 KB
testcase_26	AC	28 ms; 8,168 KB
testcase_27	AC	27 ms; 8,016 KB
testcase_28	AC	27 ms; 8,100 KB

ソースコード

// includes {{{
#include<iostream>
#include<iomanip>
#include<algorithm>
#include<vector>
#include<stack>
#include<queue>
#include<map>
#include<set>
#include<tuple>
#include<cmath>
#include<random>
#include<cassert>
#include<bitset>
#include<cstdlib>
// #include<deque>
// #include<multiset>
// #include<cstring>
// #include<bits/stdc++.h>
// }}}
using namespace std;
using ll = long long;

// NOTE : use H with larger N
/// --- Modulo Factorial {{{ ///
#include <cassert>
#include <cstddef>
template < std::size_t N, int mod = static_cast< int >(1e9 + 7) >
struct Factorial {
  using integer = long long;
  constexpr integer extgcd(integer a, integer b, integer &x, integer &y) {
    integer d = 0;
    return b == 0 ? (x = a < 0 ? -1 : 1, y = 0, a < 0 ? -a : a)
      : (d = extgcd(b, a % b, y, x), y -= a / b * x, d);
  }
  constexpr integer modinv(integer a) {
    integer x = 0, y = 0;
    extgcd(a, mod, x, y);
    if(x < 0)
      x += mod;
    else if(x == mod)
      x = 0;
    return x;
  }
  int arr[N + 1], inv[N + 1];
  integer operator[](int i) const { return arr[i]; }
  Factorial() : arr(), inv() {
    arr[0] = 1;
    for(std::size_t i = 1; i <= N; i++) {
      arr[i] = (integer) i * arr[i - 1] % mod;
    }
    inv[N] = modinv(arr[N]);
    for(int i = N - 1; i >= 0; i--) {
      inv[i] = (integer)(i + 1) * inv[i + 1] % mod;
    }
  }
  integer C(int n, int r) const {
    if(n < 0 || r < 0 || n < r) return 0;
    assert(n <= N);
    return (integer) arr[n] * inv[r] % mod * inv[n - r] % mod;
  }
  integer H(int n, int r) const { return C(n + r - 1, r); }
};
/// }}}--- ///

constexpr int mod = 1e9 + 7;
const int N = 3e5 + 10;
Factorial< N * 2, mod > fact;

/// --- Modulo Integer {{{ ///
#include <ostream>
template < long long mod = static_cast< long long >(1e9 + 7) >
struct ModuloInteger {
  static_assert(mod > 0, "mod must be positive");
  static_assert(mod <= 3037000499, "mod is too big");
  using integer = long long;
  static ModuloInteger unused;
  // math {{{
  static inline integer extgcd(integer a, integer b, integer &x, integer &y) {
    integer d;
    return b == 0 ? (x = a < 0 ? -1 : 1, y = 0, a < 0 ? -a : a)
      : (d = extgcd(b, a % b, y, x), y -= a / b * x, d);
  }
  static inline integer modinv(integer a) {
    integer x = 0, y = 0;
    extgcd(a, mod, x, y);
    if(x < 0)
      x += mod;
    else if(x == mod)
      x = 0;
    return x;
  }
  static inline integer modpow(integer a, long long b) {
    if(b < 0) b = -b, a = modinv(a);
    integer r = 1;
    a %= mod;
    while(b) {
      if(b & 1) r = r * a % mod;
      a = a * a % mod;
      b >>= 1;
    }
    return r;
  }
  // }}}

  integer val;
  constexpr ModuloInteger() : val(0) {}
  constexpr ModuloInteger(integer t) {
    val = t % mod;
    if(val < 0) val += mod;
  }

private:
  // strict constructor
  constexpr ModuloInteger(integer t, int) : val(t) {}

public:
  template < class T >
    explicit operator T() {
      return T(val);
    }
  // operator bool() { return bool(val); }
  // ModuloInteger <arithmetic-operator>[=] ModuloInteger {{{
  ModuloInteger operator+(ModuloInteger const &rhs) const {
    ModuloInteger tmp = *this;
    tmp += rhs;
    return tmp;
  }
  ModuloInteger operator-(ModuloInteger const &rhs) const {
    ModuloInteger tmp = *this;
    tmp -= rhs;
    return tmp;
  }
  ModuloInteger operator*(ModuloInteger const &rhs) const {
    ModuloInteger tmp = *this;
    tmp *= rhs;
    return tmp;
  }
  ModuloInteger operator/(ModuloInteger const &rhs) const {
    ModuloInteger tmp = *this;
    tmp /= rhs;
    return tmp;
  }
  ModuloInteger &operator+=(ModuloInteger const &rhs) {
    val = val + rhs.val;
    if(val >= mod) val -= mod;
    return *this;
  }
  ModuloInteger &operator-=(ModuloInteger const &rhs) { return *this += -rhs; }
  ModuloInteger &operator*=(ModuloInteger const &rhs) {
    val = val * rhs.val % mod;
    return *this;
  }
  ModuloInteger &operator/=(ModuloInteger const &rhs) { return *this *= rhs.inv(); }
  // }}}
  // increment, decrement {{{
  ModuloInteger operator++(int) {
    ModuloInteger tmp = *this;
    val = val + 1;
    if(val >= mod) val = 0;
    return tmp;
  }
  ModuloInteger operator--(int) {
    ModuloInteger tmp = *this;
    val = val == 0 ? mod - 1 : val - 1;
    return tmp;
  }
  ModuloInteger &operator++() {
    val = val + 1;
    if(val >= mod) val = 0;
    return *this;
  }
  ModuloInteger &operator--() {
    val = val == 0 ? mod - 1 : val - 1;
    return *this;
  }
  // }}}
  ModuloInteger operator-() const { return ModuloInteger(val == 0 ? 0 : mod - val, 0); }
  // ModuloInteger <arithmetic-operator>[=] T {{{
  template < typename T >
    ModuloInteger operator+(T const &rhs) const {
      return ModuloInteger(val + rhs % mod);
    }
  template < typename T >
    ModuloInteger operator-(T const &rhs) const {
      return ModuloInteger(mod + val - rhs % mod);
    }
  template < typename T >
    ModuloInteger operator*(T const &rhs) const {
      return ModuloInteger(val * (rhs % mod));
    }
  template < typename T >
    ModuloInteger operator/(T const &rhs) const {
      return ModuloInteger(val * modinv(rhs));
    }
  template < typename T >
    ModuloInteger &operator+=(T const &rhs) {
      val = (mod + val + rhs % mod) % mod;
      return *this;
    }
  template < typename T >
    ModuloInteger &operator-=(T const &rhs) {
      val = (mod + val - rhs % mod) % mod;
      return *this;
    }
  template < typename T >
    ModuloInteger &operator*=(T const &rhs) {
      val = val * (mod + rhs % mod) % mod;
      return *this;
    }
  template < typename T >
    ModuloInteger &operator/=(T const &rhs) {
      val = val * modinv(rhs) % mod;
      return *this;
    }
  // }}}
  ModuloInteger inv() const { return ModuloInteger(modinv(val), 0); }
  ModuloInteger operator~() const { return inv(); }
  friend std::ostream &operator<<(std::ostream &os, ModuloInteger const &mv) {
    os << mv.val;
    return os;
  }
  // equality operator {{{
  ModuloInteger operator==(const ModuloInteger &a) const { return val == a.val; }
  ModuloInteger operator!=(const ModuloInteger &a) const { return val != a.val; }
  ModuloInteger operator==(const integer &a) const { return val == ModuloInteger(a); }
  ModuloInteger operator!=(const integer &a) const { return val != ModuloInteger(a); }
  // }}}
  // T <arithmetic-operator> ModuloInteger {{{
  friend constexpr ModuloInteger operator+(integer a, ModuloInteger const &mv) {
    return ModuloInteger(a % mod + mv.val);
  }
  friend constexpr ModuloInteger operator-(integer a, ModuloInteger const &mv) {
    return ModuloInteger(a % mod - mv.val);
  }
  friend constexpr ModuloInteger operator*(integer a, ModuloInteger const &mv) {
    return ModuloInteger((mod + a % mod) * mv.val % mod, 0);
  }
  friend constexpr ModuloInteger operator/(integer a, ModuloInteger const &mv) {
    return ModuloInteger((mod + a % mod) * modinv(mv.val) % mod, 0);
  }
  // }}}
  // power {{{
  ModuloInteger operator^(integer x) const { return pow(*this, x); }
  ModuloInteger &operator^=(integer x) {
    val = modpow(val, x);
    return *this;
  }
  friend ModuloInteger pow(ModuloInteger x, integer y) {
    return ModuloInteger(modpow(x.val, y), 0);
  }
  // }}}
};
template < long long mod >
ModuloInteger< mod > ModuloInteger< mod >::unused(mod, 0);
/// }}}--- ///

using modint = ModuloInteger<>;


int main() {
  std::ios::sync_with_stdio(false), std::cin.tie(0);
  int a, b, c;
  cin >> a >> b >> c;
  modint ans = 0;
  int n = a+b+c;
  for(int k = c; k <= n - 1 - 1; k++) {
    ans += modint(fact.C(k - c, b - 1)) * 
    fact.C(k - 1, c - 1) * ((modint(2)^(k)) - 1);
  }
  cout << ans << endl;
  return 0;
}