Can you solve the multiplying rabbits riddle? - Alex Gendler

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Answer in 3 After years of experiments, you've finally created the pets of the futurenanorabbits.

They're tiny, they're fuzzy, and they multiply faster than the eye can see.

In your lab, there are 36 habitat cells, arranged in an inverted pyramid, with 8 cells in the top row.

The first has one rabbit, the second has two, and so on, with 8 rabbits in the last one.

The other rows of cells are emptyfor now.

The rabbits are hermaphroditic, and each rabbit in a given cell will breed once with every rabbit in the horizontally adjacent cells, producing exactly one offspring each time.

The newborn rabbits will drop into the cell directly below the two cells of its parents, and within minutes will mature and reproduce in turn.

Each cell can hold 10 to the 80th power nanorabbitsthat's a 1 followed by 80 zerosbefore they break free and overrun the world.

Your calculations have given you a 46-digit number for the count of rabbits in the bottom cellplenty of room to spare.

But just as you pull the lever to start the experiment, your assistant runs in with terrible news.

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