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Dec 7th, 2019
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  1. #include <iostream>
  2. #include <vector>
  3. #include <cmath>
  4.  
  5. using namespace std;
  6.  
  7. int getCountZero(int number, int sys) {
  8. int count = 0;
  9. while (number / sys > 0) {
  10. if (number % sys == 0) {
  11. count++;
  12. }
  13. number /= sys;
  14. }
  15. return count;
  16. }
  17.  
  18. int getIsPrime(int n) {
  19. for (int i = 2; i<sqrt(n); i++) {
  20. if (n % i == 0) {
  21. return false;
  22. }
  23. }
  24. return true;
  25. }
  26.  
  27. int main() {
  28. int number = 0;
  29. cin >> number;
  30. int maxSys = 2;
  31. for(int i = 2; i <= number; i++) {
  32. if (getCountZero(number, i) > getCountZero(number, maxSys)) {
  33. if (getIsPrime(i)) {
  34. maxSys = i;
  35. }
  36. }
  37. }
  38. cout << maxSys;
  39. return 0;
  40. }
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