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Don't buy premium if you're just starting out and aren't even sure whether chess will seriously interest you. Lots of people download the app, go through the tutorial, play a few games, and then forget about it. Why pay for features you won't use? First play the free version for at least a week or two, see if you actually like it.
Here's what you should pay attention to: premium often includes not just more lessons or game analysis, but also removes annoying restrictions like daily hint limits. Sounds minor, but when you're learning and want to understand a position - and you're capped at 10 hints a day - it really gets in the way. It's a hidden issue that you don't notice right away, but over time it kills your motivation.
If you seriously want to improve at chess, move from beginner rating to a solid level - then yeah, premium makes sense. Usually there's good analysis of your mistakes, detailed lessons, maybe even computer training at different difficulty levels. But if it's just a hobby and a way to kill time, the free versions are usually enough.
It depends on what you're looking for in an app - premium might not even be necessary. If you just play occasionally in your spare time and want to pass the time, the free versions offer plenty: games against the computer, puzzles, analysis. Yeah, there's ads and limits on how many times you can analyze, but most people don't run into those restrictions.
Premium can be worth it if you're taking the game more seriously. You usually get access to an expanded database of games from famous players, deeper analysis with solid position evaluation, video lessons, and no ads. If you're willing to study openings, memorize variations, and see how the masters played, then it makes sense.
My advice: play the free version for a week or two first, see if the features are enough for you, and check if you actually want to keep improving. Don't pay right away - turns out the app itself might be boring to you, or you might lose interest quickly. Once you're sure you're serious about it, then look at the price of that specific premium and compare a few apps.
Are you playing on one app or jumping between several?
Because it all depends on how ready you are to commit to one place. Premium makes sense if you've already figured out that chess is a long-term thing for you, and you need specific features. Like unlimited game analysis, puzzle solving, training courses. Without that you'll hit a wall if you want to improve. Free versions will give you the basics, but that's where it stops.
But if you just want to decompress at the end of the day and play against the computer - premium is a waste of money. Even the regular mode is more than enough. The main thing is to be honest with yourself: are you planning to get serious about it, or is this just for fun? If it's just for fun, hold off. If you're serious - better to pay once than spend a couple years wasting time with minimal features.
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