Language: C++

#include <bits/stdc++.h>
#define REP(i,n) for(int i=0;i<n;i++)
#define REPP(i,n) for(int i=1;i<=n;i++)
long long inf=(long long)1E17;
#define i_7 (long long)(1E9+7)
//#define i_7 998'244'353
long mod(long a){
    long long c=a%i_7;
    if(c>=0)return c;
    return c+i_7;
}
//using namespace std;

//typedef long long ll;
long long po(long a, long b){
    if(b==0){
        return 1;
    }
    
    long long z = po(a,b/2);
    z = mod(z*z);
    if(b%2!=0){
        z = mod(a*z);
    }
    return z;
}

//配列のSIZEは問題ごとに定義する必要がある。
const int SIZE=1010;
long long inv[SIZE+1];//各iの逆元を格納する配列。
long long kai[SIZE+1];//i!のmodを格納する配列。
long long invkai[SIZE+1];//各i!の逆元を格納する配列。
const int MOD=i_7;
void invinit(){//上の配列を初期化する関数。
    inv[1]=1;
    for(int i=2;i<=SIZE;i++){
        inv[i] = MOD - ((MOD/i)*inv[MOD%i])%MOD;
    }
    
    kai[0]=invkai[0]=1;
    for(int i=1;i<=SIZE;i++){
        kai[i]=(kai[i-1]*i)%MOD;
        invkai[i]=(invkai[i-1]*inv[i])%MOD;
    }
}

long long comb(long long a, long long b){
    if(b<0 || a<b){
        return 0;
    }
    return mod(kai[a]*mod(invkai[b]*invkai[a-b]));
}

int main(){
  invinit();
  long long n, a, b, c, d;
  cin>>n>>a>>b>>c>>d;
  long long f[n+1][n+1] = {};//k人のグループをx個作る
  long long dp[n+1][n+1] = {};//y人をk人以下のグループに分ける
  REP(k,n+1){
    REP(x,n+1){
      if(k == 0){
        if(x == 0){
          f[k][x] = 1;
        }
        continue;
      }
      if(n - k*x < 0)continue;
      long long temp = 1;
      for(int i = 0; i<x; i++){
        temp *= comb(n-i*k, k);
        temp = mod(temp);
      }
    }
  }
  REP(y,n+1){
    REP(k,n+1){
      if(k < a || b < k)continue;
      if((0 < x && x < c) || d < k)continue;
      if(y == 0){
        dp[y][k] = 1;
        continue;
      }
      long long x = y/k;
      for(long long i = 0; i<=x; i++){
        dp[y][k] += mod(f[k][i]*dp[y-k*i][k-1]);
        dp[y][k] = mod(dp[y][k]);
      }
    }
  }
  long long ans = dp[n][n];
  cout<<ans<<endl;
  return 0;
}

Compiler output:
a.cc: In function 'int main()':
a.cc:57:3: error: 'cin' was not declared in this scope; did you mean 'std::cin'?
   57 |   cin>>n>>a>>b>>c>>d;
      |   ^~~
      |   std::cin
In file included from /usr/include/x86_64-linux-gnu/c++/14/bits/stdc++.h:146,
                 from a.cc:1:
/usr/include/c++/14/iostream:62:18: note: 'std::cin' declared here
   62 |   extern istream cin;           ///< Linked to standard input
      |                  ^~~
a.cc:79:15: error: 'x' was not declared in this scope
   79 |       if((0 < x && x < c) || d < k)continue;
      |               ^
a.cc:92:3: error: 'cout' was not declared in this scope; did you mean 'std::cout'?
   92 |   cout<<ans<<endl;
      |   ^~~~
      |   std::cout
/usr/include/c++/14/iostream:63:18: note: 'std::cout' declared here
   63 |   extern ostream cout;          ///< Linked to standard output
      |                  ^~~~
a.cc:92:14: error: 'endl' was not declared in this scope; did you mean 'std::endl'?
   92 |   cout<<ans<<endl;
      |              ^~~~
      |              std::endl
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:
/usr/include/c++/14/ostream:744:5: note: 'std::endl' declared here
  744 |     endl(basic_ostream<_CharT, _Traits>& __os)
      |     ^~~~