Tarly has two different type of items, food boxes and wine barrels. There are f food boxes and w wine barrels. Tarly stores them in various stacks and each stack can consist of either food boxes or wine barrels but not both. The stacks are placed in a line such that no two stacks of food boxes are together and no two stacks of wine barrels are together.

The height of a stack is defined as the number of items in the stack. Two stacks are considered different if either their heights are different or one of them contains food and other contains wine.

Jon Snow doesn't like an arrangement if any stack of wine barrels has height less than or equal to h. What is the probability that Jon Snow will like the arrangement if all arrangement are equiprobably?

Two arrangement of stacks are considered different if exists such i, that i-th stack of one arrangement is different from the i-th stack of the other arrangement.

Input

The first line of input contains three integers f, w, h (0 ≤ f, w, h ≤ 105) — number of food boxes, number of wine barrels and h is as described above. It is guaranteed that he has at least one food box or at least one wine barrel.

Output

Output the probability that Jon Snow will like the arrangement. The probability is of the form <image>, then you need to output a single integer p·q - 1 mod (109 + 7).

Examples

Input

1 1 1


Output

0


Input

1 2 1


Output

666666672

Note

In the first example f = 1, w = 1 and h = 1, there are only two possible arrangement of stacks and Jon Snow doesn't like any of them.

In the second example f = 1, w = 2 and h = 1, there are three arrangements. Jon Snow likes the (1) and (3) arrangement. So the probabilty is <image>.

<image>
#include <bits/stdc++.h>
using namespace std;
template <typename... As>
struct tpl : public std::tuple<As...> {
  using std::tuple<As...>::tuple;
  template <typename T = tuple<As...>>
  typename tuple_element<0, T>::type const& x() const {
    return get<0>(*this);
  }
  template <typename T = tuple<As...>>
  typename tuple_element<0, T>::type& x() {
    return get<0>(*this);
  }
  template <typename T = tuple<As...>>
  typename tuple_element<1, T>::type const& y() const {
    return get<1>(*this);
  }
  template <typename T = tuple<As...>>
  typename tuple_element<1, T>::type& y() {
    return get<1>(*this);
  }
  template <typename T = tuple<As...>>
  typename tuple_element<2, T>::type const& z() const {
    return get<2>(*this);
  }
  template <typename T = tuple<As...>>
  typename tuple_element<2, T>::type& z() {
    return get<2>(*this);
  }
  template <typename T = tuple<As...>>
  typename tuple_element<3, T>::type const& w() const {
    return get<3>(*this);
  }
  template <typename T = tuple<As...>>
  typename tuple_element<3, T>::type& w() {
    return get<3>(*this);
  }
};
using lli = long long int;
using llu = long long unsigned;
using pii = tpl<lli, lli>;
using piii = tpl<lli, lli, lli>;
using piiii = tpl<lli, lli, lli, lli>;
using vi = vector<lli>;
using vii = vector<pii>;
using viii = vector<piii>;
using vvi = vector<vi>;
using vvii = vector<vii>;
using vviii = vector<viii>;
template <class T>
using min_queue = priority_queue<T, vector<T>, greater<T>>;
template <class T>
using max_queue = priority_queue<T>;
template <size_t... I>
struct my_index_sequence {
  using type = my_index_sequence;
  static constexpr array<size_t, sizeof...(I)> value = {{I...}};
};
namespace my_index_sequence_detail {
template <typename I, typename J>
struct concat;
template <size_t... I, size_t... J>
struct concat<my_index_sequence<I...>, my_index_sequence<J...>>
    : my_index_sequence<I..., (sizeof...(I) + J)...> {};
template <size_t N>
struct make_index_sequence
    : concat<typename make_index_sequence<N / 2>::type,
             typename make_index_sequence<N - N / 2>::type>::type {};
template <>
struct make_index_sequence<0> : my_index_sequence<> {};
template <>
struct make_index_sequence<1> : my_index_sequence<0> {};
}  // namespace my_index_sequence_detail
template <class... A>
using my_index_sequence_for =
    typename my_index_sequence_detail::make_index_sequence<sizeof...(A)>::type;
template <class T, size_t... I>
void print_tuple(ostream& s, T const& a, my_index_sequence<I...>) {
  using swallow = int[];
  (void)swallow{0, (void(s << (I == 0 ? "" : ", ") << get<I>(a)), 0)...};
}
template <class T>
ostream& print_collection(ostream& s, T const& a);
template <class... A>
ostream& operator<<(ostream& s, tpl<A...> const& a);
template <class... A>
ostream& operator<<(ostream& s, tuple<A...> const& a);
template <class A, class B>
ostream& operator<<(ostream& s, pair<A, B> const& a);
template <class T, size_t I>
ostream& operator<<(ostream& s, array<T, I> const& a) {
  return print_collection(s, a);
}
template <class T>
ostream& operator<<(ostream& s, vector<T> const& a) {
  return print_collection(s, a);
}
template <class T, class U>
ostream& operator<<(ostream& s, multimap<T, U> const& a) {
  return print_collection(s, a);
}
template <class T>
ostream& operator<<(ostream& s, multiset<T> const& a) {
  return print_collection(s, a);
}
template <class T, class U>
ostream& operator<<(ostream& s, map<T, U> const& a) {
  return print_collection(s, a);
}
template <class T>
ostream& operator<<(ostream& s, set<T> const& a) {
  return print_collection(s, a);
}
template <class T>
ostream& print_collection(ostream& s, T const& a) {
  s << '[';
  for (auto it = begin(a); it != end(a); ++it) {
    s << *it;
    if (it != prev(end(a))) s << " ";
  }
  return s << ']';
}
template <class... A>
ostream& operator<<(ostream& s, tpl<A...> const& a) {
  s << '(';
  print_tuple(s, a, my_index_sequence_for<A...>{});
  return s << ')';
}
template <class... A>
ostream& operator<<(ostream& s, tuple<A...> const& a) {
  s << '(';
  print_tuple(s, a, my_index_sequence_for<A...>{});
  return s << ')';
}
template <class A, class B>
ostream& operator<<(ostream& s, pair<A, B> const& a) {
  return s << "(" << get<0>(a) << ", " << get<1>(a) << ")";
}
namespace std {
namespace {
template <class T>
inline void hash_combine(size_t& seed, T const& v) {
  seed ^= hash<T>()(v) + 0x9e3779b9 + (seed << 6) + (seed >> 2);
}
template <class Tuple, size_t Index = tuple_size<Tuple>::value - 1>
struct HashValueImpl {
  static void apply(size_t& seed, Tuple const& tuple) {
    HashValueImpl<Tuple, Index - 1>::apply(seed, tuple);
    hash_combine(seed, get<Index>(tuple));
  }
};
template <class Tuple>
struct HashValueImpl<Tuple, 0> {
  static void apply(size_t& seed, Tuple const& tuple) {
    hash_combine(seed, get<0>(tuple));
  }
};
}  // namespace
template <typename... TT>
struct hash<tuple<TT...>> {
  size_t operator()(tuple<TT...> const& tt) const {
    size_t seed = 0;
    HashValueImpl<tuple<TT...>>::apply(seed, tt);
    return seed;
  }
};
template <typename... TT>
struct hash<tpl<TT...>> {
  size_t operator()(tpl<TT...> const& tt) const {
    size_t seed = 0;
    HashValueImpl<tuple<TT...>>::apply(seed, tt);
    return seed;
  }
};
}  // namespace std
lli read_positive() {
  char c;
  lli x = 0;
  do {
    c = getchar();
  } while (c < '0' || c > '9');
  while (c >= '0' && c <= '9') {
    x = 10 * x + (c - '0');
    c = getchar();
  }
  return x;
}
const lli MOD = 1e9 + 7;
inline lli mulmod(lli a, lli b) { return (a * b) % MOD; }
inline lli fexp(lli a, lli b) {
  lli r = 1;
  while (b) {
    if (b & 1) r = (r * a) % MOD;
    a = (a * a) % MOD;
    b /= 2;
  }
  return r;
}
inline lli invmod(lli a) { return fexp(a, MOD - 2); }
const lli N = 2e5;
lli CXF[N];
lli CXW[N];
lli DXW[N];
int main() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  lli f, w, h;
  cin >> f >> w >> h;
  h++;
  if (f == 0) {
    cout << (w >= h ? 1 : 0) << endl;
    return 0;
  }
  if (w == 0 || h == 1) {
    cout << 1 << endl;
    return 0;
  }
  CXF[0] = 1;
  for (lli i = 0; i < (lli)(f - 1); ++i)
    CXF[i + 1] = mulmod(CXF[i], mulmod((f - 1 - i), invmod(i + 1)));
  CXW[0] = 1;
  for (lli i = 0; i < (lli)(w - 1); ++i)
    CXW[i + 1] = mulmod(CXW[i], mulmod((w - 1 - i), invmod(i + 1)));
  {
    lli tmp = 1;
    int cw = w - h;
    int ca = 0;
    if (cw < 0) tmp = 0;
    auto lowerW = [&]() {
      tmp = mulmod(tmp, mulmod(cw - ca, invmod(cw)));
      cw--;
    };
    auto incA = [&]() {
      tmp = mulmod(tmp, mulmod(cw - ca, invmod(ca + 1)));
      ca++;
    };
    int y = 0;
    while (1) {
      DXW[y] = tmp;
      y++;
      for (lli j = 0; j < (lli)(h - 1); ++j)
        if (cw > 0)
          lowerW();
        else
          goto l2;
      incA();
    }
  l2:;
  }
  lli p = 0, q = 0;
  for (lli x = (1); x <= (lli)(f); ++x) {
    q += mulmod(CXF[x - 1],
                ((x >= 2 ? CXW[x - 2] : 0) + 2 * CXW[x - 1] + CXW[x]));
    q %= MOD;
    p += mulmod(CXF[x - 1],
                ((x >= 2 ? DXW[x - 2] : 0) + 2 * DXW[x - 1] + DXW[x]));
    p %= MOD;
  }
  cerr << p << " " << q << endl;
  cout << mulmod(p, invmod(q)) << endl;
  return 0;
}
