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observe the problem is the same as constructing a nondecreasing subsequence where each element can be at most twice the previous element that sums to N
with min number of elements
then realize that for some integer x, the sum of the first x-1 powers of 2s is 2^x - 1 which means that for some x you can create values between x and 2^x-1
so how do you do that
well
first start with the powers of 2
they sum to 2^x-1
then to preserve the condition of not doubling elements
you can decrease some element to be at most the previous one
sorry
I mean
at least half the one after
so you just greedily decrease them as much as you can
until they sum to N
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