input: The response you're asking for should match the format you provided, but the input you gave doesn't match the examples of function headers or the test case style you described. Here's how it should look if it were a function with a test case:
  
  
  def print_checkered_pattern(size: int) -> None:
      """Print a checkered pattern of size x size characters.
      
      Example:
      >>> print_checkered_pattern(7)
      # # # # #
       # # # # 
      # # # # #
       # # # # 
      # # # # #
       # # # # 
      # # # # #
      """
      for i in range(size):
          for j in range(size):
              if (i + j) % 2 == 0:
                  print('#', end='')
              else:
                  print(' ', end='')
          print()
  
  
  This assumes you're creating a function that prints a checkered pattern based on the provided input size, akin to the nested loop example you gave.
output:     for i in range(size):
          for j in range(size):
              if (i + j) % 2 == 0:
                  print('#', end='')
              else:
                  print(' ', end='')
          print()