How to arrive at the correct solution which solves for large input values?

Problem : Hard Compare...

Question

Given 4 numbers A,B,C and D. If AB > CD, print "YES" otherwise, print "NO".

Input
Only one line containing 4 numbers A,B,C and D (1≤A,C≤107) , (1≤B,D≤1012)

Output
Print "YES" or "NO" according to the problem above.

My Program

    #include <iostream>
    #define ll long long
    using namespace std;
     
    int main(){
         
      ll res1, res2, a, b, c, d;
      cin>>a>>b>>c>>d;
      res1 = 1;
      res2 = 1;
      for(int i=1;i<=b; i++){
          res1 = a % ((int)1e9+7) *  res1 % ((int)1e9+7);
      }
      for(int i=1;i<=d; i++){
          res2 = c % ((int)1e9+7) *  res2 % ((int)1e9+7);
      }
      
      cout<<(res1>res2 ? "YES" : "NO");
      return 0;
    }

TestCases

Input : 2887969 614604076030 8478041 209676100616
Answer : YES

Input : 8376260 70 8376259 70
Answer : YES

Input : 2 1 1 1
Answer : YES

Input : 1 7816997 1 1
Answer : NO

Issue with current program : I am not able to solve for large input values