title: Circle Lattice Points
signature: function circle_lattice_points(r)
test_code: 
  
  -- SOLUTION CODE
  -- ============================================
  PLACEHOLDER_CODE_BODY
  
  -- TESTING CODE 
  -- ============================================
  function isCorrect(actual, expected)
      if type(expected) ~= type(actual) then
          return false
      end
      
      if type(expected) == 'table' then
          for k,v_expected in pairs(expected) do
              
              if actual[k] == nil then
                  return false
              end
              local v_actual = actual[k]
              if not isCorrect(v_actual, v_expected) then
                  return false
              end
              actual[k]=nil
          end
      
          if next(actual) then 
              return false
          end
          return true
      else
          return actual == expected
      end
  end
  
  function validateSolution(actual, expected)
      return isCorrect(actual,expected)
  end
  
  function driver(r, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(r) 
      end)
      if status then
          if validateSolution(exec_result,expected) then
              return "PASSED"
          end
          return "FAILED"
      else
          return string.format("ERROR=%s",string.gsub(error_msg,".*:[%d]+: ",""))
      end
  end
      
  function main()
      result = driver(34, 12)
      print(string.format("TEST-0...%s",result))
  
      result = driver(56, 4)
      print(string.format("TEST-1...%s",result))
  
      result = driver(90, 12)
      print(string.format("TEST-2...%s",result))
  
      result = driver(47, 4)
      print(string.format("TEST-3...%s",result))
  
      result = driver(36, 4)
      print(string.format("TEST-4...%s",result))
  
      result = driver(63, 4)
      print(string.format("TEST-5...%s",result))
  
      result = driver(21, 4)
      print(string.format("TEST-6...%s",result))
  
      result = driver(76, 4)
      print(string.format("TEST-7...%s",result))
  
      result = driver(18, 4)
      print(string.format("TEST-8...%s",result))
  
      result = driver(75, 20)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
source_py: def circle_lattice_points(r):
      if (r <= 0):
          return 0
      result = 4
      for x in range(1, r):
          ySquare = ((r * r) - (x * x))
          y = int(math.sqrt(ySquare))
          if ((y * y) == ySquare):
              result += 4
      return result
source_cpp: int circle_lattice_points(int r) {
    if ( r <= 0 ) return 0;
    int result = 4;
    for ( int x = 1;
    x < r;
    x ++ ) {
      int ySquare = r * r - x * x;
      int y = sqrt ( ySquare );
      if ( y * y == ySquare ) result += 4;
    }
    return result;
  }