title: Basic And Extended Euclidean Algorithms
signature: int basicAndExtendedEuclideanAlgorithms(int a, int b) {
test_code: #include <algorithm>
  #include <assert.h>
  #include <cstdlib>
  #include <iostream>
  #include <map>
  #include <set>
  #include <string>
  #include <tuple> 
  #include <unordered_map>
  #include <vector>
  #include <math.h>
  #include <cmath>
  #include <bits/stdc++.h>
  #include <numeric>
  #include <functional>
  
  using namespace std;
  
  // SOLUTION CODE
  // ============================================
  PLACEHOLDER_CODE_BODY
  
  // TESTING CODE 
  // ============================================
  bool validateSolution(int actual, int expected){
      return actual == expected;
  }
  
  string driver(int a, int b, int expected){
      try
      {
          if (validateSolution(PLACEHOLDER_FN_NAME(a, b), expected)){
              return "PASSED";
          }
          return "FAILED";
      }
      catch (const std::overflow_error& exception_obj)
      {
          return typeid(exception_obj).name();
      }
      catch (const std::runtime_error& exception_obj)
      {
          return typeid(exception_obj).name();
      }
      catch (const std::exception& exception_obj)
      {
          return typeid(exception_obj).name();
      }
      catch (...)
      {
          return "UNK_ERROR";
      }
  }
  
  int main() {
      string result = "";
  
      result = driver(46, 89, 1); 
      cout << "TEST-" << 0 << "..."
           <<  result
           << "\n";
  
      result = driver(26, 82, 2); 
      cout << "TEST-" << 1 << "..."
           <<  result
           << "\n";
  
      result = driver(40, 12, 4); 
      cout << "TEST-" << 2 << "..."
           <<  result
           << "\n";
  
      result = driver(58, 4, 2); 
      cout << "TEST-" << 3 << "..."
           <<  result
           << "\n";
  
      result = driver(25, 44, 1); 
      cout << "TEST-" << 4 << "..."
           <<  result
           << "\n";
  
      result = driver(2, 87, 1); 
      cout << "TEST-" << 5 << "..."
           <<  result
           << "\n";
  
      result = driver(8, 65, 1); 
      cout << "TEST-" << 6 << "..."
           <<  result
           << "\n";
  
      result = driver(21, 87, 3); 
      cout << "TEST-" << 7 << "..."
           <<  result
           << "\n";
  
      result = driver(82, 10, 2); 
      cout << "TEST-" << 8 << "..."
           <<  result
           << "\n";
  
      result = driver(17, 61, 1); 
      cout << "TEST-" << 9 << "..."
           <<  result
           << "\n";
  
      return 0;
  }
source_py: def basic_and_extended_euclidean_algorithms(a, b):
      if (a == 0):
          return b
      return basic_and_extended_euclidean_algorithms((b % a), a)
source_cpp: int basic_and_extended_euclidean_algorithms(int a, int b) {
    if ( a == 0 ) return b;
    return basic_and_extended_euclidean_algorithms ( b % a, a );
  }