One day, I was in a daze in math class as usual. When I was extremely bored, I reached for the newspaper on the table and began to fold the plane. But it was soon discovered by the teacher. Instead of blaming, the teacher asked, "How many times can a piece of paper be folded in half at most?" . I began to try to fold the newspaper in half. The teacher stopped it at once and let me estimate. I told you 20 times. Start folding right away. But no matter how hard you try, you can't fold it for the eighth time. I said unconvinced: I can use the newspaper at a discount, although it may be less than 20 times, but it's almost the same!

As a result, I was disappointed again, and I could barely fold it for the eighth time.

The teacher helped me analyze it:

Fold once: thickness 2t, area 1/2t.

Twice folding: thickness 4t, area 1/4t.

Three folds: thickness 8t, area 1/8t.

40% off: thickness 16t, area116t.

50% off: thickness 32t, area 1/32t.

60% off: thickness 64t, area 1/64t.

30% off: thickness 128t, area1128t.

20% discount: thickness 256t, area 1/256t.

10% discount: thickness 5 12t, area 1/5 12t.

It can be seen that the thickness of newspaper increases with the increase of folding times, and its area also decreases. Coupled with the tension of the paper itself, it is more difficult to fold the newspaper in half nine times than to fold 5 12 newspapers at a time!