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Here are the answers for The New York Times Mini Crossword for Dec. 31.
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These Photoshop AI tools can save you time and make editing your projects easier.
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 CFOTO via Getty Images
At CES 2025, NVIDIA spent the bulk of its presentation touting (what else) its leading position in the artificial intelligence arena. But it also spent time talking up new hardware, including its RTX 5000-series GPUs and Project Digits desktop supercomputer (later redubbed Spark). This year, the company's website says it's "lighting up CES 2026 with the power of AI." To that end, NVIDIA is pulling out all the stops at its Vegas installation
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If you've never heard of geofencing, now's the perfect time to start using these time-saving, location-based features.
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Welcome to the "crispy every time" club. Your perfect sandwich is waiting.
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Apple keeps most of its product pricing on a tight leash, but we do see the company's AirTags go on sale pretty frequently. Another cost cut has come around for this item just in time for the new year. Amazon is currently selling a four-pack of AirTags for $65. At a third off the regular cost, that price is pretty close to the record low discount of $63 we've seen for these Bluetooth trackers.
AirTags can be useful for people who travel frequently, helping you to keep track of essentials like your passport as well as a way to keep tabs on luggage while you're on the go. If you do purchase some AirTags, we have some recommendations for useful accessories to go along with them, such as dif
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 Apple now has additional time to allow for tariffs on Chinese semiconductors, thanks to a delay on any actual cost impact until June 2027.
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Got an unwanted gift? Knowing the major retailers' return policies can save you time and frustration.
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It's the night before Christmas, and holiday VPN deals are going strong. It's a great time to grab a last-minute subscription for yourself or a loved one. With access to a virtual private network (VPN), you can stream TV shows and events from all over the world, protect your information from hackers and thwart online trackers. It might be cute that Santa sees you when you're sleeping and knows when you're awake, but Russian hacker collectives and the Amazon marketing department don't really share St. Nick's charm.
Although we strongly recommend using a VPN, jumping on the first deal that comes along might get you stuck with a substandard app. Beyond that, even otherwise respectable VPNs sometimes frame their prices in misleading ways, with advertised deals not always as available as they seem to be.
Even so, there are some great bargains on the table. For the holiday season, plenty of the best VPNs — including our top pick, Proton VPN — have end-of-year deals live that can save you anywhere from 67 to 88 percent on annual subscriptions. Most of these discounts only apply if you sign up for a year or more, but as long as you're comfortable with a service before you take the plunge, committing actually makes sense. You pay more at the start, but if you divide the cost by the months of subscription, it's much cheaper over time.
Best VPN deals
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