Einstein Riddle Puzzle

But don't be disappointed. It's Einstein's problem.

Remember logical expressions well. And, find the answer.

* Game features
-You have to think about the number of all cases that can fit horizontally/vertically.
-If there are many different cases, you need to establish a hypothesis and prove the hypothesis.
-Scores compete with everyone in the world. You can know your world rank.

* How to play
-It is a game that ends by placing items that will fit horizontally/vertically.
-Depending on the given problem, just touch the horizontal/vertical area and select an item.
-All items cannot be used repeatedly, and must be used only once.
-By selecting a problem, you can indicate what is not correct.
-It ends when all items are placed correctly.

Thank you.