title: Horners Method Polynomial Evaluation
signature: long long hornersMethodPolynomialEvaluation(vector<int> poly, int n, int x) {
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(long long actual, long long expected){
      return actual == expected;
  }
  
  string driver(vector<int> poly, int n, int x, long long expected){
      try
      {
          if (validateSolution(PLACEHOLDER_FN_NAME(poly, n, x), 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({0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1}, 10, 8, 73); 
      cout << "TEST-" << 0 << "..."
           <<  result
           << "\n";
  
      result = driver({0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}, 20, 23, 292561); 
      cout << "TEST-" << 1 << "..."
           <<  result
           << "\n";
  
      result = driver({86, 62, 30, 27, 98, 75, 93, 37, 70, 16, 20, 74, 46, 74, 25, 59, 86, 32, 17, 90, 80, 10, 17}, 12, 12, 67907758875578); 
      cout << "TEST-" << 2 << "..."
           <<  result
           << "\n";
  
      return 0;
  }
source_py: def horners_method_polynomial_evaluation(poly, n, x):
      result = poly[0]
      for i in range(1, n):
          result = ((result * x) + poly[i])
      return result
source_cpp: int horners_method_polynomial_evaluation(vector<int> poly, int n, int x) {
    int result = poly [ 0 ];
    for ( int i = 1;
    i < n;
    i ++ ) result = result * x + poly [ i ];
    return result;
  }