A bathroom floor comprises 8 rows and 8 columns of squares. The square in the lower right corner has been covered by a black tile. Can the tiling of the rest of the floor be completed, using only white L-shaped tiles that each cover three squares?
Here is one of the white tiles:
+---+---+
| |
+ +---+
| |
+---+
And here is the floor to be covered:
+---+---+---+---+---+---+---+---+
| | | | | | | | |
+---+---+---+---+---+---+---+---+
| | | | | | | | |
+---+---+---+---+---+---+---+---+
| | | | | | | | |
+---+---+---+---+---+---+---+---+
| | | | | | | | |
+---+---+---+---+---+---+---+---+
| | | | | | | | |
+---+---+---+---+---+---+---+---+
| | | | | | | | |
+---+---+---+---+---+---+---+---+
| | | | | | | | |
+---+---+---+---+---+---+---+---+
| | | | | | | | X |
+---+---+---+---+---+---+---+---+
I give up, show me the solution.