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Quick facts

• Difficulty: MEDIUM
• Problem: Count Good Numbers
• Topics: Math, Recursion

Problem gist

The problem asks for the number of length-n digit strings that satisfy two position rules:

• Digits at even indices can be one of 0, 2, 4, 6, or 8.
• Digits at odd indices can be one of 2, 3, 5, or 7.

Indices are zero-based, so index 0 is even. The string can start with 0; this is a digit string, not a normal integer representation. Because the answer can be enormous, return it modulo 1_000_000_007.

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What happened

NVIDIA’s official Technical Blog published NVIDIA Nemotron 3 Ultra Powers Faster, More Efficient Reasoning for Long-Running Agents, a June 4, 2026 post about an open reasoning model designed around the operational shape of agentic systems rather than single-turn chat.

The post starts from a practical systems problem. Long-running agents do not just answer a prompt. They plan, call tools, read tool outputs, delegate to sub-agents, revise plans, validate work, and carry a growing execution history through many turns. That creates a compounding cost problem: the agent may spend most of its tokens on coordination, context, and recovery rather than on the final answer. It also creates a reliability problem because more turns mean more chances for the model to lose the goal, follow stale context, or over-spend on reasoning that did not need a frontier model.

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The sun did not travel alone

The article frames the sun as a migrant. Its current position, in a relatively quiet part of the Milky Way, is probably not where it began. Astronomers have long inferred from the sun’s age and chemistry that it formed closer to the galaxy’s crowded center, where earlier generations of stars enriched the gas with heavier elements more quickly than in the outer disk. Over 4.6 billion years, the sun appears to have moved roughly 10,000 light-years outward.

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Techmeme surfaced this June 5, 2026 story in its xAI and Claude cluster, and the original article is The Information’s How xAI Went From Chasing Anthropic to Powering It.

The story is interesting because it compresses several frontier-AI tensions into one company drama. The Information reports that xAI used Claude outputs while trying to catch Anthropic in coding models, including a multi-month distillation effort, personal-account workarounds after access was cut off, and access through Blackbox AI for benchmarking and other work. At the same time, xAI and the broader SpaceX orbit have been moving into compute partnerships with Anthropic and Cursor, raising the question of whether the strategic center is shifting from “build the best model” to “control scarce infrastructure and distribution.”

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This summary covers The Economist’s May 9th, 2026 Business article on airlines and jet-fuel shortages, published under the headline Fuming and listed in the contents as Airlines in crisis.

The article argues that the aviation industry is being forced to confront a supply shock that is both global and oddly specific. The near closure of the Strait of Hormuz has not only trapped crude oil in the Gulf; it has also constrained the movement of jet fuel and the crude used to make it. For airlines, that turns a geopolitical crisis into a direct operating problem. Aircraft may cross continents in hours, but the fuel that keeps them flying still depends on slow, fragile shipping routes and refinery networks.

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Supreme Court allows Alabama to use congressional map that dilutes Black vote (r/news)

• Avatara93: What a shithole country.
• stilllikelypooping: Bought and paid for supreme court.
• Lonely_Noyaaa: They’re throwing out a map that actually worked just to put a “never before used” one in place that deliberately targets Black voters. They’re causing total confusion for hundreds of thousands of voters just to score a political point.

Nearly 60 Idahoans sick after drinking raw milk in past two weeks, officials say • Idaho Capital Sun (r/news)

• Chicken_Ingots: If only there were a way to process milk to eliminate harmful pathogens.
• nightnursedaytrader: If only this could have been avoided with research from the 1860s
• BiploarFurryEgirl: Shocker. Natural selection atp

House Votes to End Iran War, in a Bipartisan Rebuke to Trump (r/worldnews)

• ThisIsAmericaAnd: Congress voting to end a war they never stood a chance to approve in the first place. Baby’s already out with the bath water folks…
• Gloomy-Restaurant-42: Holy crap! If we had a functioning democracy, this might matter. 🤔
• thedavecan: “Bipartisan” being all the Democrats and 4 Republicans. Its actually impressive how they manage to misrepresent something so simple.

TIL a convenience store in Pocatello, Idaho has a video rental section called “Christina’s Corner” which was created for a woman with Down Syndrome who is mostly nonverbal, so that she could still maintain her routine of renting movies after the video store next door had closed. (r/todayilearned)

• NastyNas77: I love when humans are kind.
• Mecca_Lecca_Hi: I want to know what she rents. They should publish a list like how video stores had employee recommendations.
• myislanduniverse: These are the kinds of stories I want my algorithm to pay attention to.

TIL that some of the only survivors of the Jonestown massacre on November 18, 1978 were the People’s Temple Basketball Team, who were playing an away game in Georgetown, Guyana during the mass suicide event. Jim Jones radioed the team demanding they commit “revolutionary suicide,” but they refused. (r/todayilearned)

• mental_mentalist: Thats more if an in-person request imo
• MrCompletely345: It failed without armed guards to “convince” them.
• Acceptable-Corgi3720: You would have to be a silver tongued devil to call me up and get me to commit revolutionary suicide. I would be skeptical.

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AI Layoffs Are Backfiring And Rehiring Has Begun (Blind)

• EVxB36 (The Home Depot): We started hiring a bunch a few weeks ago, mostly ML people. Brutal layoffs not seen since 2008 just a few months prior, but yeah.
• IBYh04 (HPE): Who’s rehiring exactly?
• CfNb84 (Discover): Definitely temporary, if true in the first place. If ‘Backfire’ is due to high token costs like I’ve been reading, it means fuck all, as token is just compute and compute is bound to go down in cost as manufacturing matures.

Anthropic IPO filing shows that AI bubble is close to popping (Blind)

• Provian: Apart from coding there are no real cost or productivity gains from AI.
• OnCall4Evr (Cvent): I think so too. It’s sus that they want to cash out so soon.
• boredddddd (Microsoft): Their ARR has jumped more than 5 times in the last 5 months. How is the bubble popping?

In first, California city overwhelmingly votes to permanently ban datacenters (r/technology)

• wewantyoutowantus: Good for them. Texas cities need to follow this
• getajob92: At first I thought this was referring to California City, and was wondering who the fuck wants to put a data center in the Mojave desert.
• DarthJDP: at least we can count on the nimbys to kill AI

Amazon-owned Ring should pay Americans for scanning their faces, lawsuit says (r/technology)

• alabasterskim: How about they lose all that data too? If someone steals something of mine and I just get a small portion of its worth in cash while they keep the thing, it’s not really a punishment, just a cost of doing business.
• Accurate_Koala_4698: Here’s a coupon for 37 cents off a monthly subscription to their services as compensation
• Bad-job-dad: I think all tech companies should pay us royalties on our data.

Companies Are Using Reddit to Manipulate ChatGPT and Google AI Search / Peptide companies have been doing AI-engine optimization by spamming the biohackers subreddit to manipulate ChatGPT and Google. (r/technology)

• dhirajsharma1173: I mean wth is going on actually these sick tech comapnies can do anything for sake of ai and now they’re targeting reddit to ruin genuine disscussions for their profit??
• elmo298: Reddit is compliant and encouraging this, it’s why they introduced hidden profiles.
• Derp2244: Companies are using ALL subreddits to manipulate ChatGPT/LLM results. Look up Generative engine optimization (GEO).

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What happened

Cloudflare’s official blog published Enforcing the First AS in BGP AS_PATHs, a June 3, 2026 engineering post about a deceptively small BGP validation rule that blocks a class of forged-path route hijacks.

The post starts from recent hijack attempts in which an attacker appeared to use unused autonomous system numbers and forged AS_PATH values. In BGP, a route announcement carries an ordered list of autonomous systems that the route has traversed. That list influences path selection, supports loop prevention, and helps operators reason about where traffic will go. But BGP still inherits a trust model in which the path attribute can be manipulated unless neighbors enforce basic consistency checks.

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A planet that does not fit the old boxes

The article uses the exoplanet L 98-59 d as a reminder that astronomy’s neat categories are often temporary. The planet orbits a red dwarf star trillions of miles from Earth, and the observations gathered so far make it look stranger than the usual menu of small-world types. It is not simply a rocky planet with a thick hydrogen atmosphere. It is not an ocean world. The best current interpretation is more exotic: a hot, low-density planet with a sulfur-rich atmosphere and a surface that may be a global or near-global magma ocean.

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Techmeme surfaced this June 4, 2026 story in its Anthropic recursive self-improvement cluster, and the direct source used here is The Anthropic Institute’s article, When AI builds itself.

Anthropic’s core claim is carefully framed but still striking: the company is not saying Claude can fully design and train its own successor today, but it is saying the feedback loop is becoming real enough to deserve institutional attention now. AI systems already write, run, test, and review a large share of the work needed to build better AI systems. If that trend keeps moving, the bottleneck in frontier AI development may shift from human implementation to human judgment, oversight, and compute.