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binary-search

How to find the kth smallest element in the union of two sorted arrays?

You’ve got it, just keep going! And be careful with the indexes… To simplify a bit I’ll assume that N and M are > k, so the complexity here is O(log k), which is O(log N + log M). Pseudo-code: For the demonstration you can use the loop invariant i + j = k, but … Read more

Categories algorithm Tags algorithm, arrays, binary-search, divide-and-conquer

TypeError: list indices must be integers, not float

It looks like you are using Python 3.x. One of the important differences in Python 3.x is the way division is handled. When you do x / y, an integer is returned in Python 2.x because the decimal is truncated (floor division). However in 3.x, the / operator performs ‘true’ division, resulting in a float instead of an integer (e.g. 1 … Read more

Categories python-3.x Tags binary-search, list, python-3.x, typeerror

Optimum way to compare strings in JavaScript?

You can use the localeCompare() method.

Categories Java Tags binary-search, comparison, javascript, optimization, string

Binary Search Tree Implementation in C++ STL?

What you need is a way to look up some data given a key. With the key being an unsigned int, this gives you several possibilities. Of course, you could use a std::map: However, there’s other possibilities as well. For example, it’s quite likely that a hash map would be even faster than a binary … Read more

Categories binary Tags binary-search, binary-tree, c++

how to calculate binary search complexity

Here a more mathematical way of seeing it, though not really complicated. IMO much clearer as informal ones: The question is, how many times can you divide N by 2 until you have 1? This is essentially saying, do a binary search (half the elements) until you found it. In a formula this would be … Read more

Categories algorithm Tags algorithm, binary-search, search, time-complexity

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