As we know, a new pentagon shape was found recently that can tile in a plane.
As we can see in the picture, several pentagons form a small unit, which is the minimal repeat unit. And only with translation, we can use these units to cover the whole plane without any gap. However, it is hard to find a new pentagon and its corresponding repeat unit. That’s why the $15^{th}$ pentagon shape was found with the help of computer. We can see how complex it is that it almost cannot be worked out manually.
In this problem, you are going to do a much easier task. You have to write a program to judge whether a given polygon can cover a plane just by translation. You don’t have to handle rotation, symmetry and any other operations, just translation. And you only need to give out your judgment.