title: Horners Method Polynomial Evaluation
signature: def hornersMethodPolynomialEvaluation(poly: List[Int], n: Int, x: Int) = {
test_code: import scala.collection.mutable.HashMap
  import scala.collection.immutable.HashSet
  
  
  // SOLUTION CODE
  // ============================================
  PLACEHOLDER_CODE_BODY
  
  
  // TESTING CODE 
  // ============================================
  def validateSolution(actual: Long , expected: Long): Boolean = {
      actual.toString == expected.toString
  }
  
  def driver(poly: List[Int], n: Int, x: Int, expected: Long): String = {
      try {
          if (validateSolution(PLACEHOLDER_FN_NAME(poly, n, x),expected)) {
              "PASSED"
          } else{
              "FAILED"
          }
      }catch{
          case e: Exception => {e.getClass.getName}
      }
  
  }
  object QuestionEvaluator extends App {
  
      println(s"TEST-0...${driver(
        List(0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1), 10, 8, 
        73L    
      )}")   
  
  
      println(s"TEST-1...${driver(
        List(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, 
        292561L    
      )}")   
  
  
      println(s"TEST-2...${driver(
        List(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, 
        67907758875578L    
      )}")   
  
  }
  
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;
  }