Problem 44337. Sums of Distinct Powers
I'm having some trouble understanding the problem. Could you provide an example for test 7?
My understanding of the problem leads me to believe the answer should be 1600: 1 + 7 + 8 + 49 + 50 + 56 + 343 + 344 + 350 + 392
You've almost got it, bmtran. You are missing 7^2 + 7^1 + 7^0 = 57 in your example. Put that in, remove the 392 (since that's term #11 in the sequence) and you have the correct answer.
Thanks, that makes sense. I was under the impression that it could only be the sum of 2 distinct powers based on the example.
I've changed the description to make it a bit clearer that you can use any number of terms in the sequence. Hope this helps.
The problem wants all unique combinations of distinct powers of a given base up to a point. If we forget some factors it will overflow, if we repeat sequences, their sum will not match the test cases.
2 1 0
3 1 0
3 2 0
3 2 1
and so on (and resulting numbers must be sorted if we are not following their natural order)
It is not clear at all, James, that we must sum all possible unique combinations of exponents for a base. However, it is a good problem.
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