Language: C++

//{{{
#include <bits/stdc++.h>
using namespace std;

#define repX(a,b,c,x,...) x
#define repN(a) repX a
#define rep(...) repN((__VA_ARGS__,rep3,rep2,loop))(__VA_ARGS__)
#define rrep(...) repN((__VA_ARGS__,rrep3,rrep2))(__VA_ARGS__)
#define loop(n) rep2(i_,n)
#define rep2(i,n) rep3(i,0,n)
#define rep3(i,begin,end) for(ll i=(ll)(begin),i##_end=(ll)(end);i<i##_end;++i)
#define rrep2(i,n) rrep3(i,0,n)
#define rrep3(i,begin,end) for(ll i=(ll)(end-1),i##_end=(ll)(begin);i>=i##_end;--i)
#define each(x,a) for(auto&x:a)
#define sz(x) ((ll)(x).size())

struct IoSetup{
  IoSetup(){
    cin.tie(nullptr);
    // ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);
    cerr << fixed << setprecision(10);
  };
} ioSetup;

using ull=unsigned long long;
using ll=long long;
using pii=pair<ll, ll>;
using vp=vector<pii>;
using vs=vector<string>;
using vi=vector<ll>;
using vvi=vector<vi>;
#define v(T) vector<T>
#define vv(T) v(v(T))

template<class T,class U>ostream &operator<<(ostream &o,const pair<T,U>&j){o<<"{"<<j.first<<", "<<j.second<<"}";return o;}
template<class T,class U>ostream &operator<<(ostream &o,const map<T,U>&j){o<<"{";for(auto t=j.begin();t!=j.end();++t)o<<(t!=j.begin()?", ":"")<<*t;o<<"}";return o;}
template<class T>ostream &operator<<(ostream &o,const set<T>&j){o<<"{";for(auto t=j.begin();t!=j.end();++t)o<<(t!=j.begin()?", ":"")<<*t;o<<"}";return o;}
template<class T>ostream &operator<<(ostream &o,const multiset<T>&j){o<<"{";for(auto t=j.begin();t!=j.end();++t)o<<(t!=j.begin()?", ":"")<<*t;o<<"}";return o;}
template<class T>ostream &operator<<(ostream &o,const vector<T>&j){o<<"{";for(ll i=0;i<(ll)j.size();++i)o<<(i>0?", ":"")<<j[i];o<<"}";return o;}
#ifdef LOCAL
inline void dump(void){cerr<<endl;}
template<class Head,class... Tail> inline void dump(Head&& head,Tail&&... tail){cerr<<head<<" ";dump(tail...);}
#define debug(...) do{cerr<<"[L."<<__LINE__<<"]\t"<<#__VA_ARGS__<<"=";dump(__VA_ARGS__);}while(0)
#else
#define dump(...)
#define debug(...)
#endif

template<class T, class Compare>inline void sort(T&a, Compare comp) { sort(a.begin(), a.end(), comp); }
template<class T>inline void sort(T&a) { sort(a.begin(), a.end()); }
template<class T>inline void rsort(T&a) { sort(a.rbegin(), a.rend()); }
template<class T>inline void reverse(T&a) { reverse(a.begin(), a.end()); }
template<class T>inline bool next_permutation(T&a) { return next_permutation(a.begin(), a.end()); }
template<class T, class U>inline bool binary_search(T&a, const U&v) { return binary_search(a.begin(), a.end(), v); }
template<class T, class U>inline auto lower_bound(T&a, const U&v) { return lower_bound(a.begin(), a.end(), v); }
template<class T, class U>inline auto upper_bound(T&a, const U&v) { return upper_bound(a.begin(), a.end(), v); }
template<class T>inline T Sum(vector<T>&a){return accumulate(a.begin(), a.end(), (T)0);}
template<class T>inline T max(vector<T>&a){return *max_element(a.begin(), a.end());}
template<class T>inline T min(vector<T>&a){return *min_element(a.begin(), a.end());}

template<class T,class U>inline bool chmax(T&a,const U&b){return(b>a)?(a=b,true):false;}
template<class T,class U>inline bool chmin(T&a,const U&b){return(b<a)?(a=b,true):false;}

ll gcd(const ll a, const ll b){return b ? gcd(b, a % b) : a;}
ll lcm(const ll a, const ll b){return a / gcd(a, b) * b;}

class in {
  int n, m;
public:
  in() : n(0),m(0){}
  in(int n_) : n(n_),m(0){};
  in(int n_, int m_) : n(n_),m(m_){};
  template <class T> operator T() {assert(n==0); assert(m==0); T ret; cin >> ret; return ret; }
  template <class T> operator vector<T>() {assert(n>0); assert(m==0); vector<T> ret(n); for(ll i=0;i<(ll)n;++i) cin>>ret[i]; return ret; }
  template <class T> operator vector<vector<T>>() {assert(n>0); assert(m>0); vector<vector<T>> ret(n, vector<T>(m)); for(ll i=0;i<(ll)n;++i) for(ll j=0;j<(ll)m;++j) cin>>ret[i][j]; return ret; }
};

template<class T> void print(const T& a){ cout << a; }
int out(){ cout<<'\n'; return 0; }
template<class T> int out(const T& t){ print(t); cout<<'\n'; return 0; }
template<class Head, class... Tail> int out(const Head& head, const Tail&... tail){ print(head); cout << " "; out(tail...); return 0; }

template<class T> vector<T> make_vector(size_t a){return vector<T>(a);}
template<class T, class... Tail> auto make_vector(size_t a, Tail... tail){ return vector<decltype(make_vector<T>(tail...))>(a, make_vector<T>(tail...)); }
#define Vector make_vector<ll>

template <std::int_fast64_t Mod> class Modular {
  using u64 = std::uint_fast64_t;
public:
  u64 a;
  constexpr Modular(std::int_fast64_t x = 0) noexcept : a(x % Mod + (x < 0 ? Mod : 0)) {}
  constexpr u64 val() const noexcept { return a; }
  constexpr Modular operator+(const Modular rhs) const noexcept { return Modular(*this) += rhs; }
  constexpr Modular operator-(const Modular rhs) const noexcept { return Modular(*this) -= rhs; }
  constexpr Modular operator*(const Modular rhs) const noexcept { return Modular(*this) *= rhs; }
  constexpr Modular operator/(const Modular rhs) const noexcept { return Modular(*this) /= rhs; }
  constexpr bool operator==(const Modular rhs) const noexcept { return Modular(*this).val() == rhs.val(); }
  Modular &operator+=(const Modular rhs) noexcept { a += rhs.a; if (a >= Mod) a -= Mod; return *this; }
  Modular &operator-=(const Modular rhs) noexcept { if (a < rhs.a) a += Mod; a -= rhs.a; return *this; }
  Modular &operator++() noexcept { return *this += 1; }
  Modular &operator--() noexcept { return *this -= 1; }
  Modular &operator*=(const Modular rhs) noexcept {
    a = a * ((rhs.a + Mod) % Mod) % Mod;
    return *this; }
  Modular &operator/=(Modular rhs) noexcept { u64 exp = Mod - 2; while(exp){ if(exp % 2) *this *= rhs; rhs *= rhs; exp /= 2; } return *this; }
};
template <std::uint_fast64_t Mod> ostream& operator<<(ostream& os, const Modular<Mod>& m){ return os << m.a; }

const double pi=acos(-1);
const double eps = 1e-9;
const ll inf = 1001001001;
const ll mod=(ll)1e9+7;
using mint = Modular<mod>;
//}}}

ll comb(ll n, ll r) {
  if(r<0||n<r) return 0;
  const int kMax=1500000;
  static ll fact[kMax+1],factr[kMax+1],inv[kMax+1];
  if(fact[0]==0){
    fact[0]=factr[0]=inv[1]=1;
    for(int i=2;i<=kMax;++i) inv[i]=inv[mod%i]*(mod-mod/i)%mod;
    for(int i=1;i<=kMax;++i) fact[i]=fact[i-1]*i%mod, factr[i]=factr[i-1]*inv[i]%mod;
  }
  return factr[r]*fact[n]%mod*factr[n-r]%mod;
}

int main(){
  ll N = in();
  ll K = in();
  vi A = in(N);
  sort(A);

  mint ans = 0;
  rep(i, N){
    ll X = i;
    ll Y = N - 1 - i;
    if(X >= K - 1) ans += comb(X, K - 1) * A[i];
    if(Y >= K - 1) ans -= comb(Y, K - 1) * A[i];
  }
  out(ans);
}


Compiler output:
a.cc: In instantiation of 'void print(const T&) [with T = Modular<1000000007>]':
a.cc:81:45:   required from 'int out(const T&) [with T = Modular<1000000007>]'
   81 | template<class T> int out(const T& t){ print(t); cout<<'\n'; return 0; }
      |                                        ~~~~~^~~
a.cc:142:6:   required from here
  142 |   out(ans);
      |   ~~~^~~~~
a.cc:79:48: error: no match for 'operator<<' (operand types are 'std::ostream' {aka 'std::basic_ostream<char>'} and 'const Modular<1000000007>')
   79 | template<class T> void print(const T& a){ cout << a; }
      |                                           ~~~~~^~~~
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:2:
/usr/include/c++/14/ostream:116:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(__ostream_type& (*)(__ostream_type&)) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  116 |       operator<<(__ostream_type& (*__pf)(__ostream_type&))
      |       ^~~~~~~~
/usr/include/c++/14/ostream:116:36: note:   no known conversion for argument 1 from 'const Modular<1000000007>' to 'std::basic_ostream<char>::__ostream_type& (*)(std::basic_ostream<char>::__ostream_type&)' {aka 'std::basic_ostream<char>& (*)(std::basic_ostream<char>&)'}
  116 |       operator<<(__ostream_type& (*__pf)(__ostream_type&))
      |                  ~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
/usr/include/c++/14/ostream:125:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(__ios_type& (*)(__ios_type&)) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>; __ios_type = std::basic_ios<char>]'
  125 |       operator<<(__ios_type& (*__pf)(__ios_type&))
      |       ^~~~~~~~
/usr/include/c++/14/ostream:125:32: note:   no known conversion for argument 1 from 'const Modular<1000000007>' to 'std::basic_ostream<char>::__ios_type& (*)(std::basic_ostream<char>::__ios_type&)' {aka 'std::basic_ios<char>& (*)(std::basic_ios<char>&)'}
  125 |       operator<<(__ios_type& (*__pf)(__ios_type&))
      |                  ~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~
/usr/include/c++/14/ostream:135:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(std::ios_base& (*)(std::ios_base&)) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  135 |       operator<<(ios_base& (*__pf) (ios_base&))
      |       ^~~~~~~~
/usr/include/c++/14/ostream:135:30: note:   no known conversion for argument 1 from 'const Modular<1000000007>' to 'std::ios_base& (*)(std::ios_base&)'
  135 |       operator<<(ios_base& (*__pf) (ios_base&))
      |                  ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~
/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:174:23: note:   no known conversion for argument 1 from 'const Modular<1000000007>' to 'long int'
  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:178:32: note:   no known conversion for argument 1 from 'const Modular<1000000007>' to 'long unsigned int'
  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)
      |       ^~~~~~~~
/usr/include/c++/14/ostream:182:23: note:   no known conversion for argument 1 from 'const Modular<1000000007>' to 'bool'
  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/bits/ostream.tcc:97:22: note:   no known conversion for argument 1 from 'const Modular<1000000007>' to 'short int'
   97 |     operator<<(short __n)
      |                ~~~~~~^~~
/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/ostream:189:33: note:   no known conversion for argument 1 from 'const Modular<1000000007>' to 'short unsigned int'
  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/bits/ostream.tcc:111:20: note:   no known conversion for argument 1 from 'const Modular<1000000007>' to 'int'
  111 |     operator<<(int __n)
      |                ~~~~^~~
/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:200:31: note:   no known conversion for argument 1 from 'const Modular<1000000007>' to 'unsigned int'
  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:211:28: note:   no known conversion for argument 1 from 'const Modular<1000000007>' to 'long long int'
  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:215:37: note:   no known conversion for argument 1 from 'const Modular<1000000007>' to 'long long unsigned int'
  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:231:25: note:   no known conversion for argument 1 from 'const Modular<1000000007>' to 'double'
  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:235:24: note:   no known conversion for argument 1 from 'const Modular<1000000007>' to 'float'
  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:243:30: note:   no known conversion for argument 1 from 'const Modular<1000000007>' to 'long double'
  243 |       operator<<(long double __f)
      |                  ~~~~~~~~~~~~^~~
/usr/include/c++/14/ostream:301:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(const void*) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  301 |       operator<<(const void* __p)
      |       ^~~~~~~~
/usr/include/c++/14/ostream:301:30: note:   no known conversion for argument 1 from 'const Modular<1000000007>' to 'const void*'
  301 |       operator<<(const void* __p)
      |                  ~~~~~~~~~~~~^~~
/usr/include/c++/14/ostream:306:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_