title: Count Numbers Can Constructed Using Two Numbers
signature: function count_numbers_can_constructed_using_two_numbers(n, x, y)
test_code: using Printf
  
  # SOLUTION CODE
  # ============================================
  PLACEHOLDER_CODE_BODY
  
  # TESTING CODE 
  # ============================================
  function validate_solution(actual, expected)
      return actual == expected
  end
  
  function driver(n, x, y, expected)
      try
  
          if validate_solution(PLACEHOLDER_FN_NAME(n, x, y), expected)
              return "PASSED";
          end
          return "FAILED";
      catch exception_obj
          return string(Base.typename(typeof(exception_obj)).wrapper);
      end
  end
  
  function main()
      
      result = driver(23, 16, 16, 1);
      @printf("TEST-0...%s\n",result);
      
      result = driver(56, 95, 6, 9);
      @printf("TEST-1...%s\n",result);
      
      result = driver(30, 63, 1, 30);
      @printf("TEST-2...%s\n",result);
      
      result = driver(51, 89, 46, 1);
      @printf("TEST-3...%s\n",result);
      
      result = driver(21, 99, 38, 0);
      @printf("TEST-4...%s\n",result);
      
      result = driver(69, 63, 50, 2);
      @printf("TEST-5...%s\n",result);
      
      result = driver(12, 69, 73, 0);
      @printf("TEST-6...%s\n",result);
      
      result = driver(44, 52, 9, 4);
      @printf("TEST-7...%s\n",result);
      
      result = driver(99, 65, 10, 13);
      @printf("TEST-8...%s\n",result);
      
      result = driver(46, 58, 37, 1);
      @printf("TEST-9...%s\n",result);
      
  end
  
  main()
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;
  }