I_LOVE_METSUKA's blog

Please help
By I_LOVE_METSUKA, history, 8 years ago, In English

I want to add numbers to a set of integers and answer a query how many numbers are there which are less than a given number K. What is an efficient way to implement this other than BIT?

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8 years ago, hide # |
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I don't know what is BIT, but you can simply use a vector as a set (find exact position for a newer element using lower_bound and inserting if element at this position isn't equal to the one you're trying to add). Then, just using distance(vect.begin(), lower_bound(vect.begin(), vect.end(), K)) — you can obtain the answer for a query.

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    8 years ago, hide # ^ |
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    inserting in the middle of a vector is O(n).

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      8 years ago, hide # ^ |
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      Well, yes. Then, you could insert in a set first, then do copy(iset.begin(), iset.end(), back_inserter(vect)) and perform queries on the vector as stated above. I expect copying to have linear complexity.

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8 years ago, hide # |
 
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C++ STL: Policy based data structures

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8 years ago, hide # |
 
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Using a treap to implement a set(set in STL),it is O(log n).

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