title: Count Numbers Can Constructed Using Two Numbers
signature: def countNumbersCanConstructedUsingTwoNumbers(n: Int, x: Int, y: Int) = {
test_code: import scala.collection.mutable.HashMap
  import scala.collection.immutable.HashSet
  
  
  // SOLUTION CODE
  // ============================================
  PLACEHOLDER_CODE_BODY
  
  
  // TESTING CODE 
  // ============================================
  def validateSolution(actual: Int , expected: Int): Boolean = {
      actual.toString == expected.toString
  }
  
  def driver(n: Int, x: Int, y: Int, expected: Int): String = {
      try {
          if (validateSolution(PLACEHOLDER_FN_NAME(n, x, y),expected)) {
              "PASSED"
          } else{
              "FAILED"
          }
      }catch{
          case e: Exception => {e.getClass.getName}
      }
  
  }
  object QuestionEvaluator extends App {
  
      println(s"TEST-0...${driver(
        23, 16, 16, 
        1    
      )}")   
  
  
      println(s"TEST-1...${driver(
        56, 95, 6, 
        9    
      )}")   
  
  
      println(s"TEST-2...${driver(
        30, 63, 1, 
        30    
      )}")   
  
  
      println(s"TEST-3...${driver(
        51, 89, 46, 
        1    
      )}")   
  
  
      println(s"TEST-4...${driver(
        21, 99, 38, 
        0    
      )}")   
  
  
      println(s"TEST-5...${driver(
        69, 63, 50, 
        2    
      )}")   
  
  
      println(s"TEST-6...${driver(
        12, 69, 73, 
        0    
      )}")   
  
  
      println(s"TEST-7...${driver(
        44, 52, 9, 
        4    
      )}")   
  
  
      println(s"TEST-8...${driver(
        99, 65, 10, 
        13    
      )}")   
  
  
      println(s"TEST-9...${driver(
        46, 58, 37, 
        1    
      )}")   
  
  }
  
source_py: def count_numbers_can_constructed_using_two_numbers(n, x, y):
      arr = [False for i in range((n + 2))]
      if (x <= n):
          arr[x] = True
      if (y <= n):
          arr[y] = True
      result = 0
      for i in range(min(x, y), (n + 1)):
          if arr[i]:
              if ((i + x) <= n):
                  arr[(i + x)] = True
              if ((i + y) <= n):
                  arr[(i + y)] = True
              result = (result + 1)
      return result
source_cpp: int count_numbers_can_constructed_using_two_numbers(int n, int x, int y) {
    vector < bool > arr ( n + 1, false );
    if ( x <= n ) arr [ x ] = true;
    if ( y <= n ) arr [ y ] = true;
    int result = 0;
    for ( int i = min ( x, y );
    i <= n;
    i ++ ) {
      if ( arr [ i ] ) {
        if ( i + x <= n ) arr [ i + x ] = true;
        if ( i + y <= n ) arr [ i + y ] = true;
        result ++;
      }
    }
    return result;
  }