Language: C++

v#include <bits/stdc++.h>
#include<algorithm>
#include<cmath>
#define ll long long
#define pb push_back
#define vi vector<int>
#define si set<int>
#define msi multiset<int>
#define vll vector<ll>
#define ff first
#define ss second
#define pii pair<int,int>
#define mp make_pair
#define all(a) a.begin(),a.end()
#define f(i,x,n) for(int i=x;i<n;i++)
#define fd(i,n,x) for (int i=n;i>=x;i--)
#define itr :: iterator it
#define endl '\n'
#define INF 1e9
#define mod 1e9+7

using namespace std;
double coin(int i,int j,int n,double p[],vector<vector<double> >&dp)
{
    if(i==n&&j<n-j)
        return 0;
    if(i==n)
        return 1;
    if(dp[i][j]!=-1)
        return dp[i][j];
    if(i==n-1)
    {
        return 1;
    }
    double left=p[i]*coin(i+1,j+1,n,p,dp);
    double right=(1-p[i])*coin(i+1,j,n,p,dp);
        return dp[i][j]=(left+right);
}
int main()
{
    int n;
    cin>>n;
    double p[3001];
    vector<vector<double> >dp(n,vector<double>(n,-1));
    for(int i=0;i<n;i++)
    {
        cin>>p[i];
    }
    cout<<coin(0,0,n,p,dp);
}


Compiler output:
a.cc:1:2: error: stray '#' in program
    1 | v#include <bits/stdc++.h>
      |  ^
a.cc:1:1: error: 'v' does not name a type; did you mean 'vi'?
    1 | v#include <bits/stdc++.h>
      | ^
      | vi
In file included from /usr/include/c++/14/bits/stl_algobase.h:62,
                 from /usr/include/c++/14/algorithm:60,
                 from a.cc:2:
/usr/include/c++/14/ext/type_traits.h:164:35: error: 'constexpr const bool __gnu_cxx::__is_null_pointer' redeclared as different kind of entity
  164 |   __is_null_pointer(std::nullptr_t)
      |                                   ^
/usr/include/c++/14/ext/type_traits.h:159:5: note: previous declaration 'template<class _Type> constexpr bool __gnu_cxx::__is_null_pointer(_Type)'
  159 |     __is_null_pointer(_Type)
      |     ^~~~~~~~~~~~~~~~~
/usr/include/c++/14/ext/type_traits.h:164:26: error: 'nullptr_t' is not a member of 'std'
  164 |   __is_null_pointer(std::nullptr_t)
      |                          ^~~~~~~~~
In file included from /usr/include/c++/14/bits/stl_pair.h:60,
                 from /usr/include/c++/14/bits/stl_algobase.h:64:
/usr/include/c++/14/type_traits:295:27: error: 'size_t' has not been declared
  295 |   template <typename _Tp, size_t = sizeof(_Tp)>
      |                           ^~~~~~
/usr/include/c++/14/type_traits:666:33: error: 'nullptr_t' is not a member of 'std'
  666 |     struct is_null_pointer<std::nullptr_t>
      |                                 ^~~~~~~~~
/usr/include/c++/14/type_traits:666:42: error: template argument 1 is invalid
  666 |     struct is_null_pointer<std::nullptr_t>
      |                                          ^
/usr/include/c++/14/type_traits:670:48: error: template argument 1 is invalid
  670 |     struct is_null_pointer<const std::nullptr_t>
      |                                                ^
/usr/include/c++/14/type_traits:674:51: error: template argument 1 is invalid
  674 |     struct is_null_pointer<volatile std::nullptr_t>
      |                                                   ^
/usr/include/c++/14/type_traits:678:57: error: template argument 1 is invalid
  678 |     struct is_null_pointer<const volatile std::nullptr_t>
      |                                                         ^
/usr/include/c++/14/type_traits:984:26: error: 'size_t' has not been declared
  984 |   template<typename _Tp, size_t _Size>
      |                          ^~~~~~
/usr/include/c++/14/type_traits:985:40: error: '_Size' was not declared in this scope
  985 |     struct __is_array_known_bounds<_Tp[_Size]>
      |                                        ^~~~~
/usr/include/c++/14/type_traits:985:46: error: template argument 1 is invalid
  985 |     struct __is_array_known_bounds<_Tp[_Size]>
      |                                              ^
/usr/include/c++/14/type_traits:1429:37: error: 'size_t' is not a member of 'std'
 1429 |     : public integral_constant<std::size_t, alignof(_Tp)>
      |                                     ^~~~~~
/usr/include/c++/14/type_traits:1429:57: error: template argument 1 is invalid
 1429 |     : public integral_constant<std::size_t, alignof(_Tp)>
      |                                                         ^
/usr/include/c++/14/type_traits:1429:57: note: invalid template non-type parameter
/usr/include/c++/14/type_traits:1438:37: error: 'size_t' is not a member of 'std'
 1438 |     : public integral_constant<std::size_t, 0> { };
      |                                     ^~~~~~
/usr/include/c++/14/type_traits:1438:46: error: template argument 1 is invalid
 1438 |     : public integral_constant<std::size_t, 0> { };
      |                                              ^
/usr/include/c++/14/type_traits:1438:46: note: invalid template non-type parameter
/usr/include/c++/14/type_traits:1440:26: error: 'std::size_t' has not been declared
 1440 |   template<typename _Tp, std::size_t _Size>
      |                          ^~~
/usr/include/c++/14/type_traits:1441:21: error: '_Size' was not declared in this scope
 1441 |     struct rank<_Tp[_Size]>
      |                     ^~~~~
/usr/include/c++/14/type_traits:1441:27: error: template argument 1 is invalid
 1441 |     struct rank<_Tp[_Size]>
      |                           ^
/usr/include/c++/14/type_traits:1442:37: error: 'size_t' is not a member of 'std'
 1442 |     : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };
      |                                     ^~~~~~
/usr/include/c++/14/type_traits:1442:65: error: template argument 1 is invalid
 1442 |     : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };
      |                                                                 ^
/usr/include/c++/14/type_traits:1442:65: note: invalid template non-type parameter
/usr/include/c++/14/type_traits:1446:37: error: 'size_t' is not a member of 'std'
 1446 |     : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };
      |                                     ^~~~~~
/usr/include/c++/14/type_traits:1446:65: error: template argument 1 is invalid
 1446 |     : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };
      |                                                                 ^
/usr/include/c++/14/type_traits:1446:65: note: invalid template non-type parameter
/usr/include/c++/14/type_traits:1451:32: error: 'size_t' was not declared in this scope
 1451 |     : public integral_constant<size_t, 0> { };
      |                                ^~~~~~
/usr/include/c++/14/type_traits:64:1: note: 'size_t' is defined in header '<cstddef>'; this is probably fixable by adding '#include <cstddef>'
   63 | #include <bits/version.h>
  +++ |+#include <cstddef>
   64 | 
/usr/include/c++/14/type_traits:1451:41: error: template argument 1 is invalid
 1451 |     : public integral_constant<size_t, 0> { };
      |                                         ^
/usr/include/c++/14/type_traits:1451:41: note: invalid template non-type parameter
/usr/include/c++/14/type_traits:1453:26: error: 'size_t' has not been declared
 1453 |   template<typename _Tp, size_t _Size>
      |                          ^~~~~~
/usr/include/c++/14/type_traits:1454:23: error: '_Size' was not declared in this scope
 1454 |     struct extent<_Tp[_Size], 0>
      |                       ^~~~~
/usr/include/c++/14/type_traits:1454:32: error: template argument 1 is invalid
 1454 |     struct extent<_Tp[_Size], 0>
      |                                ^
/usr/include/c++/14/type_traits:1455:32: error: 'size_t' was not declared in this scope
 1455 |     : public integral_constant<size_t, _Size> { };
      |                                ^~~~~~
/usr/include/c++/14/type_traits:1455:32: note: 'size_t' is defined in header '<cstddef>'; this is probably fixable by adding '#include <cstddef>'
/usr/include/c++/14/type_traits:1455:40: error: '_Size' was not declared in this scope
 1455 |     : public integral_constant<size_t, _Size> { };
      |                                        ^~~~~
/usr/include/c++/14/type_traits:1455:45: error: template argument 1 is invalid
 1455 |     : public integral_constant<size_t, _Size> { };
      |                                             ^
/usr/include/c++/14/type_traits:1455:45: error: template argument 2 is invalid
/usr/include/c++/14/type_traits:1457:42: error: 'size_t' has not been declared
 1457 |   template<typename _Tp, unsigned _Uint, size_t _Size>
      |                                          ^~~~~~
/usr/include/c++/14/type_traits:1458:23: error: '_Size' was not declared in this scope
 1458 |     struct extent<_Tp[_Size], _Uint>
      |                       ^~~~~
/usr/include/c++/14/type_traits:1458:36: error: template argument 1 is invalid
 1458 |     struct extent<_Tp[_Size], _Uint>
      |                                    ^
/usr/include/c++/14/type_traits:1463:32: error: 'size_t' was not declared in this scope
 1463 |     : public integral_constant<size_t, 0> { };
      |                                ^~~~~~
/usr/include/c++/14/type_traits:1463:32: note: 'size_t' is defined in header '<cstddef>'; this is probably fixable by adding '#include <cstddef>'
/usr/include/c++/14/type_traits:1463:41: error: template argument 1 is invalid
 1463 |     : public integral_constant<size_t, 0> { };
      |                                         ^
/usr/include/c++/14/type_traits:1463:41: note: invalid template non-type parameter
/usr/include/c++/14/type_traits:1857:26: error: 'size_t' does not name a type
 1857 |       { static constexpr size_t __size = sizeof(_Tp); };
      |                          ^~~~~~
/usr/include/c++/14/type_traits:1857:26: note: 'size_t' is defined in header '<cstddef>'; this is probably fixable by adding '#include <cstddef>'
/usr/include/c++/14/type_traits:1859:14: error: 'size_t' has not been declared
 1859 |     template<size_t _Sz, typename _Tp, bool = (_Sz <= _Tp::__size)>
      |              ^~~~~~
/usr/include/c++/14/type_traits:1859:48: error: '_Sz' was not declared in this scope
 1859 |     template<size_t _Sz, typename _Tp, bool = (_Sz <= _Tp::__size)>
      |                                                ^~~
/usr/include/c++/14/type_traits:1860:14: error: no default argument for '_Tp'
 1860 |       struct __select;
      |              ^~~~~~~~
/usr/include/c++/14/type_traits:1862:14: error: 'size_t' has not been declared
 1862 |     template<size_t _Sz, typename _Uint, typename... _UInts>
      |              ^~~~~~
/usr/include/c++/14/type_traits:1863:23: error: '_Sz' was not declared in this scope
 1863 |       struct __select<_Sz, _List<_Uint, _UInts...>, true>
      |                       ^~~
/usr/include/c++/14/type_traits:1863:57: error: template argument 1 is invalid
 1863 |       struct __select<_Sz, _List<_Uint, _UInts...>, true>
      |                                                         ^
/usr/include/c++/14/type_traits:1866:14: error: 'size_t' has not been declared
 1866 |     template<size_t _Sz, typename _Uint, typename... _UInts>
      |              ^~~~~~
/usr/include/c++/14/type_traits:1867:23: error: '_Sz' was not declared in this scope
 1867 |       struct __select<_Sz, _List<_Uint, _UInts...>, false>
      |                       ^~~
/usr/include/c++/14/type_traits:1867:58: e