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Introduction to the A* Algorithm (2014)

Created 26 May 2014, updated Aug 2014, Feb 2016, Jun 2016, Jun 2020, Jul 2023 Graph search algorithms let us find the shortest path on a map represented as a graph. Move the blob (start point) and cross (end point) to see the shortest path found by the A* Algorithm: A* is one of a family of related graph search algorithms: Breadth First Search[1] explores equally in all directions. Dijkstra’s Algorithm[2] takes into account movement costs. A*[3] explores more towards a single destination. In ad

Nothing says an Essential Space premium tier could be in the cards in the future

In the interview, Pei describes the code we found as “zombie strings” that were left there during development. He adds that in its current form, Essential Space will remain free. However, he doesn’t rule out the possibility of a premium tier being added in the future: So I think that’s what happened, somebody got their hands on an older version of the APK and they decompiled it and saw that there [were] some strings related to charging for Essential Space. That was never in the production softw

Introduction to the A* Algorithm

Created 26 May 2014, updated Aug 2014, Feb 2016, Jun 2016, Jun 2020, Jul 2023 Graph search algorithms let us find the shortest path on a map represented as a graph. Move the blob (start point) and cross (end point) to see the shortest path found by the A* Algorithm: A* is one of a family of related graph search algorithms: Breadth First Search[1] explores equally in all directions. Dijkstra’s Algorithm[2] takes into account movement costs. A*[3] explores more towards a single destination. In ad

Infinite Grid of Resistors

Infinite Grid of Resistors Remain, remain thou here, While sense can keep it on. And, sweetest, fairest, As I my poor self did exchange for you, To your so infinite loss, so in our trifles I still win of you: for my sake wear this... Shakespeare There is a well-known puzzle based on the premise of an “infinite” grid of resistors connecting adjacent nodes of a square lattice. A small portion of such a grid is illustrated below. Between every pair of adjacent nodes is a resistance R, and w

Google services are experiencing a partial outage

Users have also reported issues with Spotify, Discord, Snapchat and more. Update: At about 2:30PM ET, Google posted that "All product impacts except Google Meet have recovered. Google engineers continue to work on full mitigation." However, reports of issues have remained high for some other platforms. Original story: Google reported disruptions to several of its services today. According to the company's app status page, Gmail, Google Calendar, Google Chat, Google Cloud Search, Google Docs,

iOS 26 tells you how long it will take for your iPhone battery to finish charging

iPhone battery settings get a nice update in iOS 26, including a new intelligent battery saver mode called Adaptive Power. The iPhone will also now track extra battery stats, like your average power consumption throughout the day. But perhaps the most notable enhancement is that the iPhone can now tell you exactly how long it will take for your battery to charge. Right at the top of your lock screen, when plugged in to power, your phone will now show the estimated time to charge until it hits 8

Google Messages preps a mini search makeover (APK teardown)

Edgar Cervantes / Android Authority TL;DR Google is working on several tweaks to the search interface in Google Messages. Perhaps the most notable change is that search filters now make better use of empty space. Google Messages offers pretty robust search functionality, allowing you to sift through texts with a number of filters. Now, it looks like Google is preparing a search UI tweak for an upcoming version of the app. Authority Insights story on Android Authority. Discover You're reading