Language: C++

#include <bits/stdc++.h>
#include <quadmath.h>

#ifdef _DEBUG
#define debug(x) cerr << "line: " << __LINE__ << ", func: " << __func__ << " ->  " << #x << " = " << x << endl
#else
#define debug(x)
#endif

#define all(s) begin(s), end(s)
#define rall(s) rbegin(s), rend(s)
#define rep(i, a, b) for (int i = (a); i < (b); i++)
#define rrep(i, a, b) for (int i = ((a)-1); i >= (b); i--)
#define pb push_back
#define sz(a) int((a).size())
#define put(a) ((cout) << (a) << (endl))
#define putf(a, n) ((cout) << (fixed) << (setprecision(n)) << (a) << (endl))
#define deg2rad(x) (((x)*PI) / (180.0))
#define rad2deg(x) (((x) * (180.0)) / PI)

using namespace std;

using ll = long long;
using ull = unsigned long long;
using i_i = pair<int, int>;
using ll_ll = pair<ll, ll>;
using d_ll = pair<double, ll>;
using ll_d = pair<ll, double>;
using d_d = pair<double, double>;
template <class T> using vec = vector<T>;

static constexpr ll LL_INF = 1LL << 60;
static constexpr int I_INF = 1 << 28;
static constexpr double PI = static_cast<double>(3.14159265358979323846264338327950288);
static constexpr double EPS = numeric_limits<double>::epsilon();

static map<type_index, const char* const> scanType = {
    {typeid(int), "%d"}, {typeid(ll), "%lld"}, {typeid(double), "%lf"}, {typeid(char), "%c"}};

template <class T> static void scan(vector<T>& v);
[[maybe_unused]] static void scan(vector<string>& v, bool isWord = true);
template <class T> static inline bool chmax(T& a, T b);
template <class T> static inline bool chmin(T& a, T b);
template <class T> static inline T gcd(T a, T b);
template <class T> static inline T lcm(T a, T b);
template <class A, size_t N, class T> static void Fill(A (&arr)[N], const T& val);
template <class T> T mod(T a, T m);

ll_ll dp[51][51];

int main(int argc, char* argv[]) {
  ll n, a, b;
  cin >> n >> a >> b;
  vec<ll> v(n);
  scan(v);

  rep(i, 0, 51) rep(j, 0, 51) dp[i][j] = make_pair(-1, -1);
  dp[0][0].first = 0;
  dp[0][0].second = 1;

  rep(i, 0, n) rep(j, 0, n) {
    if (dp[i][j].first == -1) continue;

    if (dp[i + 1][j].first == -1) dp[i + 1][j] = make_pair(0, 0);
    if (dp[i + 1][j].first < dp[i][j].first) {
      dp[i + 1][j].first = dp[i][j].first;
      dp[i + 1][j].second = dp[i][j].second;
    } else if (dp[i + 1][j].first == dp[i][j].first) {
      dp[i + 1][j].second += dp[i][j].second;
    }

    if (dp[i + 1][j + 1].first == -1) dp[i + 1][j + 1] = make_pair(0, 0);
    if (dp[i + 1][j + 1].first < (dp[i][j].first + v[i])) {
      dp[i + 1][j + 1].first = dp[i][j].first + v[i];
      dp[i + 1][j + 1].second = dp[i][j].second;
    } else if (dp[i + 1][j + 1].first == (dp[i][j].first + v[i])) {
      dp[i + 1][j + 1].second += dp[i][j].second;
    }
  }

  __float128 max_avg = 0.0;
  rep(i, a, b + 1) {
    ll value = dp[n][i].first;
    __float128 avg = double(value) / i;
    chmax(max_avg, avg);
  }

  ll sum = 0;
  rep(i, a, b + 1) {
    ll value = dp[n][i].first;
    __float128 avg = double(value) / i;
    if (abs<__float128>(max_avg - avg) <= EPS) sum += dp[n][i].second;
  }
  putf(max_avg, 20);
  put(sum);

  return 0;
}

template <class T> static void scan(vector<T>& v) {
  auto tFormat = scanType[typeid(T)];
  for (T& n : v) {
    scanf(tFormat, &n);
  }
}

static void scan(vector<string>& v, bool isWord) {
  if (isWord) {
    for (auto& n : v) {
      cin >> n;
    }
    return;
  }

  int i = 0, size = v.size();
  string s;
  getline(cin, s);

  if (s.size() != 0) {
    i++;
    v[0] = s;
  }

  for (; i < size; ++i) {
    getline(cin, v[i]);
  }
}

template <class T> inline bool chmax(T& a, T b) {
  if (a < b) {
    a = b;
    return 1;
  }
  return 0;
}

template <class T> inline bool chmin(T& a, T b) {
  if (a > b) {
    a = b;
    return 1;
  }
  return 0;
}

template <class T> inline T gcd(T a, T b) { return __gcd(a, b); }

template <class T> inline T lcm(T a, T b) {
  T c = min(a, b), d = max(a, b);
  return c * (d / gcd(c, d));
}

template <class A, size_t N, class T> void Fill(A (&arr)[N], const T& val) {
  std::fill((T*)arr, (T*)(arr + N), val);
}

template <class T> T mod(T a, T m) { return (a % m + m) % m; }


Compiler output:
a.cc: In function 'int main(int, char**)':
a.cc:17:60: error: ambiguous overload for 'operator<<' (operand types are 'std::basic_ostream<char>' and '__float128')
   17 | #define putf(a, n) ((cout) << (fixed) << (setprecision(n)) << (a) << (endl))
      |                     ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ^~ ~~~
      |                                       |
      |                                       std::basic_ostream<char>
a.cc:94:3: note: in expansion of macro 'putf'
   94 |   putf(max_avg, 20);
      |   ^~~~
In file included from /usr/include/c++/14/istream:41,
                 from /usr/include/c++/14/sstream:40,
                 from /usr/include/c++/14/complex:45,
                 from /usr/include/c++/14/ccomplex:39,
                 from /usr/include/x86_64-linux-gnu/c++/14/bits/stdc++.h:127,
                 from a.cc:1:
/usr/include/c++/14/ostream:174:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(long int) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  174 |       operator<<(long __n)
      |       ^~~~~~~~
/usr/include/c++/14/ostream:178:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(long unsigned int) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  178 |       operator<<(unsigned long __n)
      |       ^~~~~~~~
/usr/include/c++/14/ostream:182:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(bool) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  182 |       operator<<(bool __n)
      |       ^~~~~~~~
In file included from /usr/include/c++/14/ostream:1022:
/usr/include/c++/14/bits/ostream.tcc:96:5: note: candidate: 'std::basic_ostream<_CharT, _Traits>& std::basic_ostream<_CharT, _Traits>::operator<<(short int) [with _CharT = char; _Traits = std::char_traits<char>]'
   96 |     basic_ostream<_CharT, _Traits>::
      |     ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
/usr/include/c++/14/ostream:189:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(short unsigned int) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  189 |       operator<<(unsigned short __n)
      |       ^~~~~~~~
/usr/include/c++/14/bits/ostream.tcc:110:5: note: candidate: 'std::basic_ostream<_CharT, _Traits>& std::basic_ostream<_CharT, _Traits>::operator<<(int) [with _CharT = char; _Traits = std::char_traits<char>]'
  110 |     basic_ostream<_CharT, _Traits>::
      |     ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
/usr/include/c++/14/ostream:200:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(unsigned int) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  200 |       operator<<(unsigned int __n)
      |       ^~~~~~~~
/usr/include/c++/14/ostream:211:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(long long int) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  211 |       operator<<(long long __n)
      |       ^~~~~~~~
/usr/include/c++/14/ostream:215:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(long long unsigned int) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  215 |       operator<<(unsigned long long __n)
      |       ^~~~~~~~
/usr/include/c++/14/ostream:231:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(double) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  231 |       operator<<(double __f)
      |       ^~~~~~~~
/usr/include/c++/14/ostream:235:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(float) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  235 |       operator<<(float __f)
      |       ^~~~~~~~
/usr/include/c++/14/ostream:243:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(long double) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  243 |       operator<<(long double __f)
      |       ^~~~~~~~
/usr/include/c++/14/ostream:573:5: note: candidate: 'std::basic_ostream<_CharT, _Traits>& std::operator<<(basic_ostream<_CharT, _Traits>&, char) [with _CharT = char; _Traits = char_traits<char>]'
  573 |     operator<<(basic_ostream<_CharT, _Traits>& __out, char __c)
      |     ^~~~~~~~
/usr/include/c++/14/ostream:579:5: note: candidate: 'std::basic_ostream<char, _Traits>& std::operator<<(basic_ostream<char, _Traits>&, char) [with _Traits = char_traits<char>]'
  579 |     operator<<(basic_ostream<char, _Traits>& __out, char __c)
      |     ^~~~~~~~
/usr/include/c++/14/ostream:590:5: note: candidate: 'std::basic_ostream<char, _Traits>& std::operator<<(basic_ostream<char, _Traits>&, signed char) [with _Traits = char_traits<char>]'
  590 |     operator<<(basic_ostream<char, _Traits>& __out, signed char __c)
      |     ^~~~~~~~
/usr/include/c++/14/ostream:595:5: note: candidate: 'std::basic_ostream<char, _Traits>& std::operator<<(basic_ostream<char, _Traits>&, unsigned char) [with _Traits = char_traits<char>]'
  595 |     operator<<(basic_ostream<char, _Traits>& __out, unsigned char __c)
      |     ^~~~~~~~
/usr/include/c++/14/complex: In instantiation of '_Tp std::__complex_abs(const complex<_Tp>&) [with _Tp = __float128]':
/usr/include/c++/14/complex:892:56:   required from '_Tp std::abs(const complex<_Tp>&) [with _Tp = __float128]'
  892 |     abs(const complex<_Tp>& __z) { return __complex_abs(__z.__rep()); }
      |                                           ~~~~~~~~~~~~~^~~~~~~~~~~~~
a.cc:92:24:   required from here
   92 |     if (abs<__float128>(max_avg - avg) <= EPS) sum += dp[n][i].second;
      |         ~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~
/usr/include/c++/14/complex:876:24: error: call of overloaded 'sqrt(__float128)' is ambiguous
  876 |       return __s * sqrt(__x * __x + __y * __y);
      |                    ~~~~^~~~~~~~~~~~~~~~~~~~~~~
In file included from /usr/include/features.h:523,
                 from /usr/include/x86_64-linux-gnu/c++/14/bits/os_defines.h:39,
                 from /usr/include/x86_64-linux-gnu/c++/14/bits/c++config.h:683,
                 from /usr/include/c++/14/cassert:43,
                 from /usr/include/x86_64-linux-gnu/c++/14/bits/stdc++.h:33:
/usr/include/x86_64-linux-gnu/bits/mathcalls.h:176:1: note: candidate: 'double sqrt(double)'
  176 | __MATHCALL (sqrt,, (_Mdouble_ __x));
      | ^~~~~~~~~~
In file included from /usr/include/x86_64-linux-gnu/c++/14/bits/stdc++.h:114:
/usr/include/c++/14/cmath:442:3: note: candidate: 'constexpr float std::sqrt(float)'
  442 |   sqrt(float __x)
      |   ^~~~
/usr/include/c++/14/cmath:446:3: note: candidate: 'constexpr long double std::sqrt(long double)'
  446 |   sqrt(long double __x)
      |   ^~~~