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Number of Zero Digits (Posted on 2024-04-07) Difficulty: 3 of 5
Derive an algorithm to calculate the total number of zeros in the decimal expansion of 20242024.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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One line algorithm | Comment 2 of 3 |
Python apparently does integer math to an extreme length:

print(str(2024**2024).count('0'))

Output:  705
(2024^2024 is 6692 digits long, so 0 makes up about 10.5% of its digits.)

But I thought quite a bit about the question and could not think of any algorithm that was not essentially the same as doing multiplication many times.

  Posted by Larry on 2024-04-07 13:53:07
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