A61600. 2021年信息学奥赛CSP-J初赛阅读程序题：#include <iostream>

2021年信息学奥赛CSP-J初赛阅读程序题：

#include <iostream>
using namespace std;
const int n = 100000;
const int N = n + 1;
int m;
int a[N],b[N],c[N], d[N];
int f[N],g[N];

void init()
{
    f[1] = g[1] = 1;
    for (int i = 2; i <= n; i++){
        if (!a[i]) {
          b[m++] = i;
          c[i] = 1, f[i] = 2;
          d[i] = 1, g[i] = i+ 1;
        }
        for (int j = 0; j < m && b[j] * i <= n; j++){
          int k = b[j];
          a[i * k] = 1;
          if (i % k == 0){
            c[i * k] = c[i] + 1;
            f[i * k] = f[i] / c[i * k]*(c[i * k] + 1);
            d[i * k] = d[i];
            g[i * k] = g[i] * k + d[i];
            break;
          }
          else {
            c[i * k] = 1;
            f[i * k] = 2 * f[i];
            d[i * k] = g[i];
            g[i * k] = g[i] * (k + 1);
          }
        }
    }
}
int main() {
  init();

  int x;
  cin >> x;
  cout<<f[x]<<" "<<g[x]<<endl;
  return 0;
}

假设输入的x是不超过1000的自然数，完成下面的判断题和单选题：