Language: C++

#include<bits/stdc++.h>
using namespace std;
using i64 = int_fast64_t;
#define rep(i, N) for(int (i) = 0; (i) < (N); (i)++)
#define ai64(v) (v).begin(), (v).end()
#define eb emplace_back

struct mint{
    using i64 = int_fast64_t;
    i64 x;
    const i64 MOD = 1000000007;

    mint(const i64 y = (i64)0) noexcept : x(y) { if(x >= MOD) x %= MOD; }
    mint operator+() const noexcept {return x;}
    mint operator-() const noexcept {return -x;}

    mint operator+(const mint y) const noexcept {return (mint)*this += y; }
    mint operator-(const mint y) const noexcept {return (mint)*this -= y; }
    mint operator*(const mint y) const noexcept {return (mint)*this *= y;}
    mint operator/(const mint y) const noexcept {return (mint)*this /= y;}

    mint& operator+=(const mint y) noexcept {
        x += y.x; 
        if(x >= MOD) x -= MOD;
        return *this;
    }
    mint& operator-=(const mint y) noexcept {
        x -= y.x;
        if(x < 0) x += MOD;
        return *this;
    }
    mint& operator*=(const mint y) noexcept {
        x *= y.x;
        if(x >= MOD) x %= MOD;
        return *this;
    }
    mint& operator/=(mint y) noexcept {
        i64 exp = MOD - 2;
        while(exp){
            if(exp & 1) *this *= y;
            y *= y;
            exp /= 2;
        }
        return *this;
    }
    friend std::ostream& operator<< (std::ostream& os, const mint& m);
    friend std::istream& operator>> (std::istream& in, mint& m);
};
std::ostream& operator<<(std::ostream& os, const mint& m){
    os << m.x;
    return os;
}
std::istream& operator>> (std::istream& in, mint& m){
    in >> m.x; 
    if(m.x < 0) m.x += 1000000007;
    if(m.x >= 1000000007) m.x %= 1000000007;
    return in; 
}

mint fact(i64 n){

    const i64 mod = 1000000007;

    if(n >= mod){
        cout << 0 << endl;
        return 0;
    }

    i64 ume[11] = {1, 927880474, 933245637, 668123525, 429277690, 733333339, 
                    724464507, 957939114, 203191898, 586445753, 698611116};

    i64 x = 100000000;
    i64 ans = ume[n/x];

    for(i64 i = n/x*x+1; i <= n; i++){
        ans *= i;
        ans %= mod;
    }

    return mint(ans);
}

mint POW(mint x, i64 n){
    mint res = 1;
    while(n){
        if(n&1) res *= x; 
        x *= x;
        n >>= 1;
    }
    return res;
}

int main(){
    i64 N, A, B;
    cin >> N >> A >> B;
    mint ans(POW(mint(2), N));
    mint n(fact(N)), a(fact(A)), b(fact(B));
    mint c(fact(N-A)), d(fact(N-B));
    ans -= ((n/(a*c)) + n/(b*d));
    if(ans >= 1) ans -= mint(1);
    cout << ans << endl;
}

Compiler output:
a.cc: In function 'int main()':
a.cc:100:12: error: no match for 'operator>=' (operand types are 'mint' and 'int')
  100 |     if(ans >= 1) ans -= mint(1);
      |        ~~~ ^~ ~
      |        |      |
      |        mint   int
In file included from /usr/include/c++/14/regex:68,
                 from /usr/include/x86_64-linux-gnu/c++/14/bits/stdc++.h:181,
                 from a.cc:1:
/usr/include/c++/14/bits/regex.h:1165:5: note: candidate: 'template<class _BiIter> bool std::__cxx11::operator>=(const sub_match<_BiIter>&, const sub_match<_BiIter>&)'
 1165 |     operator>=(const sub_match<_BiIter>& __lhs, const sub_match<_BiIter>& __rhs)
      |     ^~~~~~~~
/usr/include/c++/14/bits/regex.h:1165:5: note:   template argument deduction/substitution failed:
a.cc:100:15: note:   'mint' is not derived from 'const std::__cxx11::sub_match<_BiIter>'
  100 |     if(ans >= 1) ans -= mint(1);
      |               ^
/usr/include/c++/14/bits/regex.h:1248:5: note: candidate: 'template<class _Bi_iter, class _Ch_traits, class _Ch_alloc> bool std::__cxx11::operator>=(__sub_match_string<_Bi_iter, _Ch_traits, _Ch_alloc>&, const sub_match<_BiIter>&)'
 1248 |     operator>=(const __sub_match_string<_Bi_iter, _Ch_traits, _Ch_alloc>& __lhs,
      |     ^~~~~~~~
/usr/include/c++/14/bits/regex.h:1248:5: note:   template argument deduction/substitution failed:
a.cc:100:15: note:   'mint' is not derived from 'std::__cxx11::__sub_match_string<_Bi_iter, _Ch_traits, _Ch_alloc>'
  100 |     if(ans >= 1) ans -= mint(1);
      |               ^
/usr/include/c++/14/bits/regex.h:1341:5: note: candidate: 'template<class _Bi_iter, class _Ch_traits, class _Ch_alloc> bool std::__cxx11::operator>=(const sub_match<_BiIter>&, __sub_match_string<_Bi_iter, _Ch_traits, _Ch_alloc>&)'
 1341 |     operator>=(const sub_match<_Bi_iter>& __lhs,
      |     ^~~~~~~~
/usr/include/c++/14/bits/regex.h:1341:5: note:   template argument deduction/substitution failed:
a.cc:100:15: note:   'mint' is not derived from 'const std::__cxx11::sub_match<_BiIter>'
  100 |     if(ans >= 1) ans -= mint(1);
      |               ^
/usr/include/c++/14/bits/regex.h:1415:5: note: candidate: 'template<class _Bi_iter> bool std::__cxx11::operator>=(const typename std::iterator_traits<_Iter>::value_type*, const sub_match<_BiIter>&)'
 1415 |     operator>=(typename iterator_traits<_Bi_iter>::value_type const* __lhs,
      |     ^~~~~~~~
/usr/include/c++/14/bits/regex.h:1415:5: note:   template argument deduction/substitution failed:
a.cc:100:15: note:   mismatched types 'const std::__cxx11::sub_match<_BiIter>' and 'int'
  100 |     if(ans >= 1) ans -= mint(1);
      |               ^
/usr/include/c++/14/bits/regex.h:1509:5: note: candidate: 'template<class _Bi_iter> bool std::__cxx11::operator>=(const sub_match<_BiIter>&, const typename std::iterator_traits<_Iter>::value_type*)'
 1509 |     operator>=(const sub_match<_Bi_iter>& __lhs,
      |     ^~~~~~~~
/usr/include/c++/14/bits/regex.h:1509:5: note:   template argument deduction/substitution failed:
a.cc:100:15: note:   'mint' is not derived from 'const std::__cxx11::sub_match<_BiIter>'
  100 |     if(ans >= 1) ans -= mint(1);
      |               ^
/usr/include/c++/14/bits/regex.h:1586:5: note: candidate: 'template<class _Bi_iter> bool std::__cxx11::operator>=(const typename std::iterator_traits<_Iter>::value_type&, const sub_match<_BiIter>&)'
 1586 |     operator>=(typename iterator_traits<_Bi_iter>::value_type const& __lhs,
      |     ^~~~~~~~
/usr/include/c++/14/bits/regex.h:1586:5: note:   template argument deduction/substitution failed:
a.cc:100:15: note:   mismatched types 'const std::__cxx11::sub_match<_BiIter>' and 'int'
  100 |     if(ans >= 1) ans -= mint(1);
      |               ^
/usr/include/c++/14/bits/regex.h:1686:5: note: candidate: 'template<class _Bi_iter> bool std::__cxx11::operator>=(const sub_match<_BiIter>&, const typename std::iterator_traits<_Iter>::value_type&)'
 1686 |     operator>=(const sub_match<_Bi_iter>& __lhs,
      |     ^~~~~~~~
/usr/include/c++/14/bits/regex.h:1686:5: note:   template argument deduction/substitution failed:
a.cc:100:15: note:   'mint' is not derived from 'const std::__cxx11::sub_match<_BiIter>'
  100 |     if(ans >= 1) ans -= mint(1);
      |               ^
In file included from /usr/include/c++/14/bits/stl_algobase.h:64,
                 from /usr/include/c++/14/algorithm:60,
                 from /usr/include/x86_64-linux-gnu/c++/14/bits/stdc++.h:51:
/usr/include/c++/14/bits/stl_pair.h:1070:5: note: candidate: 'template<class _T1, class _T2> constexpr bool std::operator>=(const pair<_T1, _T2>&, const pair<_T1, _T2>&)'
 1070 |     operator>=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
      |     ^~~~~~~~
/usr/include/c++/14/bits/stl_pair.h:1070:5: note:   template argument deduction/substitution failed:
a.cc:100:15: note:   'mint' is not derived from 'const std::pair<_T1, _T2>'
  100 |     if(ans >= 1) ans -= mint(1);
      |               ^
In file included from /usr/include/c++/14/bits/stl_algobase.h:67:
/usr/include/c++/14/bits/stl_iterator.h:476:5: note: candidate: 'template<class _Iterator> constexpr bool std::operator>=(const reverse_iterator<_Iterator>&, const reverse_iterator<_Iterator>&)'
  476 |     operator>=(const reverse_iterator<_Iterator>& __x,
      |     ^~~~~~~~
/usr/include/c++/14/bits/stl_iterator.h:476:5: note:   template argument deduction/substitution failed:
a.cc:100:15: note:   'mint' is not derived from 'const std::reverse_iterator<_Iterator>'
  100 |     if(ans >= 1) ans -= mint(1);
      |               ^
/usr/include/c++/14/bits/stl_iterator.h:520:5: note: candidate: 'template<class _IteratorL, class _IteratorR> constexpr bool std::operator>=(const reverse_iterator<_Iterator>&, const reverse_iterator<_IteratorR>&)'
  520 |     operator>=(const reverse_iterator<_IteratorL>& __x,
      |     ^~~~~~~~
/usr/include/c++/14/bits/stl_iterator.h:520:5: note:   template argument deduction/substitution failed:
a.cc:100:15: note:   'mint' is not derived from 'const std::reverse_iterator<_Iterator>'
  100 |     if(ans >= 1) ans -= mint(1);
      |               ^
/usr/include/c++/14/bits/stl_iterator.h:1724:5: note: candidate: 'template<class _IteratorL, class _IteratorR> constexpr bool std::operator>=(const move_iterator<_IteratorL>&, const move_iterator<_IteratorR>&)'
 1724 |     operator>=(const move_iterator<_IteratorL>& __x,
      |     ^~~~~~~~
/usr/include/c++/14/bits/stl_iterator.h:1724:5: note:   template argument deduction/substitution failed:
a.cc:100:15: note:   'mint' is not derived from 'const std::move_iterator<_IteratorL>'
  100 |     if(ans >= 1) ans -= mint(1);
      |               ^
/usr/include/c++/14/bits/stl_iterator.h:1781:5: note: candidate: 'template<class _Iterator> constexpr bool std::operator>=(const move_iterator<_IteratorL>&, const move_iterator<_IteratorL>&)'
 1781 |     operator>=(const move_iterator<_Iterator>& __x,
      |     ^~~~~~~~
/usr/include/c++/14/bits/stl_iterator.h:1781:5: note:   template argument deduction/substitution failed:
a.cc:100:15: note:   'mint' is not derived from 'const std::move_iterator<_IteratorL>'
  100 |     if(ans >= 1) ans -= mint(1);
      |               ^
In file included from /usr/include/c++/14/bits/basic_string.h:47,
                 from /usr/include/c++/14/string:54,
                 from /usr/include/c++/14/bitset:52,
                 from /usr/include/x86_64-linux-gnu/c++/14/bits/stdc++.h:52:
/usr/include/c++/14/string_view:739:5: note: candidate: 'template<class _CharT, class _Traits> constexpr bool std::operator>=(basic_string_view<_CharT, _Traits>, basic_string_view<_CharT, _Traits>)'
  739 |     operator>=(basic_string_view<_CharT, _Traits> __x,
      |     ^~~~~~~~
/usr/include/c++/14/string_view:739:5: note:   template argument deduction/substitution failed:
a.cc:100:15: note:   'mint' is not derived from 'std::basic_string_view<_CharT, _Traits>'
  100 |     if(ans >= 1) ans -= mint(1);
      |               ^
/usr/include/c++/14/string_view:746:5: note: candidate: 'template<class _CharT, class _Traits> constexpr bool std::operator>=(basic_string_view<_CharT, _Traits>, __type_identity_t<basic_string_view<_CharT, _Traits> >)'
  746 |     operator>=(basic_string_view<_CharT, _Traits> __x,
      |     ^~~~~~~~
/usr/include/c++/14/string_view:746:5: note:   template argument deduction/substitution failed:
a.cc:100:15: note:   'mint' is not derived from 'std::basic_string_view<_CharT, _Traits>'
  100 |     if(ans >= 1) ans -= mint(1);
      |               ^
/usr/include/c++/14/string_view:754:5: note: candidate: 'template<class _CharT, class _Traits> constexpr bool std::operator>=(__type_identity_t<basic_string_view<_CharT, _Traits> >, basic_string_view<_CharT, _Traits>)'
  754 |     operator>=(__type_identity_t<basic_string_view<_CharT, _Traits>> __x,
      |     ^~~~~~~~
/usr/include/c++/14/string_view:754:5: note:   template argument deduction/substitution failed:
a.cc:100:15: note:   mismatched types 'std::basic_string_view<_CharT, _Traits>' and 'int'
  100 |     if(ans >= 1) ans -= mint(1);
      |               ^
/usr/include/c++/14/bits/basic_string.h:3997:5: note: candidate: 'template<class _CharT, class _Traits, class _Alloc> bool std::operator>=(const __cxx11::basic_string<_CharT, _Traits, _Allocator>&, const __cxx11::basic_string<_CharT, _Traits, _Allocator>&)'
 3997 |     operator>=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
      |     ^~~~~~~~
/usr/include/c++/14/bits/basic_string.h:3997:5: note:   template argument deduction/substitution failed:
a.cc:100:15: note:   'mint' is not derived from 'const std::__cxx11::basic_string<_CharT, _Traits, _Allocator>'
  100 |     if(ans >= 1) ans -= mint(1);
      |               ^
/usr/include/c++/14/bits/basic_string.h:4011:5: note: candidate: 'template<class _CharT, class _Traits, class _Alloc> bool std::operator>=(const __cxx11::basic_string<_CharT, _Traits, _Allocator>&, const _CharT*)'
 4011 |     operator>=(const basic_string<_CharT, _Traits, _Alloc>& __lhs,
      |     ^~~~~~~~
/usr/include/c++/14/bits/basic_string.h:4011:5: note:   template argument deduction/substitution failed:
a.cc:100:15: note:   'mint' is not derived from 'const std