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Your solution is a bruteforce solution that checks each of the digits between the sets, therefore it is not efficient. The editorial shows a clever solution in O(sqrt(n)) solution.
For the runtime of your code, you have two generator comprehensions, where each comprehension checks through each element inthe length of the list for every i in the range.
If we were to compute what the runtime, it should be [(upper-lower) * (len(a) + len(b))] = O(n^2) #someone correct me if this is wrong
"For example, if the time required by an algorithm on all inputs of size n is at most 5n^3 + 3n for any n (bigger than some n_0), the asymptotic time complexity is O(n^3)."
Between Two Sets
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3 for loops = O(n^3)
Yeah thats not nice... Your approach using lists and all() is much more elegant.
amazing way, but would this be O^2 ??
i think its O(2n^2)
O(2n^2) is supposed to be O(n^2). Constants aren't taken into account.
Asymptomatic complexity... i think now i got it :D
It's asymptotic actually :)
:D I knew it was something like that.
can you test this i/p: 3 2 4 8 12 12 24
print(len([num for num in range(max(a),max(b)+1) if (all(num%i==0 for i in a)) and all(i%num==0 for i in b)]))
surely should be min(b)+1 not max(b)+1
Awesome solution !!
Superb Dude!!
can yo tell me the use of all
Hi there. I'm a beginner in Python. I don't know too much about complexity. Below is my solution in Python 2. Is my way efficient? Thank you!
Your solution is a bruteforce solution that checks each of the digits between the sets, therefore it is not efficient. The editorial shows a clever solution in O(sqrt(n)) solution.
For the runtime of your code, you have two generator comprehensions, where each comprehension checks through each element inthe length of the list for every i in the range.
If we were to compute what the runtime, it should be [(upper-lower) * (len(a) + len(b))] = O(n^2) #someone correct me if this is wrong
for, for would be O(n^2) but we have for, for and for O(2n^2)
With time complexity we drop out the constant term.
https://en.wikipedia.org/wiki/Time_complexity
"For example, if the time required by an algorithm on all inputs of size n is at most 5n^3 + 3n for any n (bigger than some n_0), the asymptotic time complexity is O(n^3)."
... you're right^^
its most lucid and probably the best algorithm ! Thanks. it made me understand the concept.