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  1. #include <boost/multiprecision/cpp_int.hpp>
  2. #include <iostream>
  3. #include <numeric>
  4. #include <vector>
  5.  
  6. using boost::multiprecision::cpp_int;
  7.  
  8. int main() {
  9.     std::ios::sync_with_stdio(false);
  10.     std::cin.tie(nullptr);
  11.  
  12.     std::vector<cpp_int> power10(1001);
  13.     power10[0] = 1;
  14.     for (int i = 1; i <= 1000; ++i) power10[i] = power10[i - 1] * 10;
  15.  
  16.     int t;
  17.     std::cin >> t;
  18.     while (t--) {
  19.         int i, j;
  20.         long long k;
  21.         std::cin >> i >> j >> k;
  22.  
  23.         const int gap = j - i;
  24.         const cpp_int denominator = cpp_int(k - 1) * power10[j];
  25.         bool found = false;
  26.  
  27.         for (int difference = 1; difference <= 9 && !found; ++difference) {
  28.             cpp_int numerator = cpp_int(difference) * (power10[gap] - 1);
  29.             if (cpp_int(k) * numerator >= denominator) continue;
  30.  
  31.             int firstDigit = static_cast<int>((numerator * power10[i] / denominator) % 10);
  32.             int secondDigit = static_cast<int>((numerator * power10[j] / denominator) % 10);
  33.             if (secondDigit - firstDigit != difference) continue;
  34.  
  35.             cpp_int divisor = boost::multiprecision::gcd(numerator, denominator);
  36.             std::cout << numerator / divisor << ' ' << denominator / divisor << '\n';
  37.             found = true;
  38.         }
  39.  
  40.         if (!found) std::cout << "NO SOLUTION\n";
  41.     }
  42. }
Success #stdin #stdout 0s 5316KB
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https://ideone.com/dORCPO
language:
C++14 (gcc 8.3)
created:
14 hours ago
visibility:
public

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