Braingle Lite



The Grasshopper

Category:Trick
Submitted By:shenqiang
Fun:*** (2.16)
Difficulty:** (2.07)



A grasshopper is standing on a thin line, and it hops.

The first time it hops 1 centimeter either forward or backward, the second time it hops 2 centimeters either forward or backward, the third time it hops 3 centimeters either forward or backward, and so on. The ninth and last time it hops 9 centimeters, and it ends up landing on its starting point.

How can this be possible?

Hint:

If you think normally, 1+2+3+...+9=45 is odd, and the total distance it hopped forward can't equal the total distance it hopped backward.

However, look at its category.

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