# Tag: Priority Queue

## Fast Nearest Neighbour Search - KD Trees

In a few of my earlier posts "designing Q&A retrieval system" and "designing e-commerce system for similar products using deep learning", one of the primary goals was to retrieve the most similar answers (responses) and the most similar e-commerce products respectively in a fast and scalable way. The later post was pretty much generic i.e. find dense representations for each item (questions, product images etc.) using un-supervised and supervised learning […]

## Leetcode : K-Similar Strings

Problem Statement Solution: The brute force approach is to evaluate all possible swaps. Given the string is of length N, the number of possible pairs is U=0.5*N*(N-1). But observe that not just the swaps but the sequence of swaps also matters. The number of possible sequence of swaps is U!. Thus the run-time complexity is O(U!). For moderately sized value of N such as 20 as given by the problem […]

## LeetCode: Minimum Refuel Stops

Problem Statement Solution: At first, this looks like a classic graph traversal problem. For example, I might be tempted to use BFS approach to find the minimum number of steps to reach the target. But one important distinction this problem has from a standard BFS is that in a standard BFS problem, the car can either directly reach a station Y from station X or they cannot depending whether there […]

## Interfacing C++ with Cython

In the last post we saw how we can use Cython programming language to boost speed of Python programs. For a simple program like finding primes upto a certain N, we obtained a gain of around 50-60x with Cython as compared to a naive Python implementation. This is significant when we are going to deploy our codes in production. A complex system will have multiple such programs calling each other […]