Write a C++ programming to find the nth digit of number 1 to n

#include <iostream>
#include <cmath>
using namespace std;

    int find_Nth_Digit(int n) {
        int digit_length = 1;
        while (n > digit_length * 9 * pow(10, digit_length - 1)) {
            n -= digit_length * 9 * pow(10, digit_length - 1);
            ++digit_length;
        }

        const int num = pow(10, digit_length - 1) + (n - 1) / digit_length;

        int result = num / pow(10, (digit_length - 1) - (n - 1) % digit_length);
        
		result %= 10;

        return result;
    }
   
int main()
{
    int n = 7;
    cout << "\n " <<  n << "th digit of the infinite integer sequence is " << find_Nth_Digit(n) << endl;
    n = 13;
    cout << "\n " <<  n << "th digit of the infinite integer sequence is " << find_Nth_Digit(n) << endl;    
    return 0;
}