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  1. #include <bits/stdc++.h>
  2. using namespace std;
  3.  
  4. bool has_zero(const string &s) {
  5.     for (char c : s)
  6.         if (c == '0') return true;
  7.     return false;
  8. }
  9.  
  10. string next(const string &s) {
  11.     if (has_zero(s)) return "0";
  12.     long long prod = 1;
  13.     for (char c : s)
  14.         prod *= (c - '0');
  15.     return to_string(prod);
  16. }
  17.  
  18. int main() {
  19.     srand(time(0));
  20.     int step = 0;
  21.     string best;
  22.     for (int i = 8; i <= 50; ++i) {
  23.         for (int j = 1; j <= 1000; ++j) {
  24.             string s = "";
  25.             for (int k = 0; k < i; ++k) {
  26.                 int x = rand() % 9 + 1;
  27.                 s += to_string(x);
  28.             }
  29.             string tmp = s;
  30.             int li = 0;
  31.             while (tmp.size() > 1) {
  32.                 tmp = next(tmp);
  33.                 ++li;
  34.             }
  35.             if (li > step) {
  36.                 step = li;
  37.                 best = s;
  38.             }
  39.         }
  40.     }
  41.     cout << best << "\n";
  42.     cout << step << "\n";
  43. }
  44.  
Success #stdin #stdout 0.27s 5292KB
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https://ideone.com/jgow4V
language:
C++14 (gcc 8.3)
created:
11 days ago
visibility:
public

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