LeetCode MEDIUM 570 Managers with at Least 5 Direct Reports Summary

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Quick facts

Problem gist

The Employee table stores each employee’s ID, name, department, and manager ID. The task is to return the names of employees who manage at least five other employees directly.

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Scientific American 202505 The Moving Sofa Problem Summary

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A moving-day question becomes geometry

A couch stuck at a hallway corner is an ordinary frustration. Strip away the furniture, gravity and extra dimensions, however, and it becomes a problem that resisted mathematicians for almost six decades: what is the largest rigid two-dimensional shape that can pass around a right-angle bend in a corridor one unit wide?

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Techmeme 20260908 On the Navier–Stokes Millennium Prize Problem Summary

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Techmeme surfaced OpenAI’s original September 8 publication claiming a result that, if it survives expert review, would close one of mathematics’ six remaining Millennium Prize problems. The announcement is remarkable for two reasons at once: a large AI-agent system appears to have produced a new proof at the frontier of mathematics, and the race to publish it has already raised difficult questions about priority, private model interactions, and how credit should work when human ideas and industrial-scale computation converge.

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The Economist 20260822 The phantom tollbooth Summary

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The toll castle of Pfalzgrafenstein once exploited a narrow stretch of the Rhine. Its rulers could lower chains across the river, stop passing ships and charge for access to a waterway they had done nothing to create. That arrangement is an old illustration of economic rent: income extracted by making a cheap or abundant resource artificially scarce.

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2026-09-07 Social General Briefing Summary

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Amazon Cargo Boeing 767 Crashes At Miami International Airport (r/news)

US carrier Abraham Lincoln departs Thailand after respite visit (r/news)

What’s a common ingredient that completely ruins a dish for you, no matter how small the amount? (r/AskReddit)

For the men with more life experience, what’s one lesson you learned the hard way that every young man should know? (r/AskReddit)

What animated movie is 10/10? (r/AskReddit)

2026-09-07 Social Tech Briefing Summary

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Anthropic TC expectation (Blind)

Are Microsoft titles severely inflated? (Blind)

My wife hasn’t slept with me since she was laid off from Meta (Blind)

LG smart TVs caught logging audio with screen off and snooping on local devices (r/technology)

Former Capcom Employee Says Western Studios Spend Too Much Time On Jira (r/technology)

GitHub 20260904 Project HydraFusion: Frontier Quality via Multi-Model Orchestration Summary

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The usual way to improve a coding agent is to give every task a stronger model. That raises quality, but it also spends frontier-model compute on routine work and still leaves the model without an independent reviewer when the task would benefit from one. Project HydraFusion takes a systems approach instead: decide at runtime not only which model should work, but which small workflow of models is worth paying for.

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Scientific American 202609 Can Math Predict the End of Humanity? Summary

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A forecast built from one number

Most predictions of human extinction begin with a threat: nuclear war, an asteroid, ecological collapse or some other physical mechanism. The “doomsday argument” begins somewhere stranger. It uses probability and a single estimate—that about 117 billion humans have been born—to suggest that humanity may be much nearer the end of its history than the beginning.

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Techmeme 20260906 Research Acceleration: The View Inside OpenAI Summary

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Techmeme surfaced OpenAI’s September 6 report, “Research acceleration: The view inside OpenAI.” The company says it has reached an “automated research intern” milestone: its coding agents can now carry out some well-defined research tasks that would take a skilled person several days, provided a human chooses the task and supervises the work.

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The Economist 20260822 Lies, damned lies and stock markets Summary

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The familiar warning that the stock market is not the real economy now has a second layer: benchmark indices are no longer good portraits of the stock markets they supposedly represent. A handful of enormous companies, many tied to the artificial-intelligence investment boom, increasingly determine the movements of indices containing hundreds or thousands of stocks. The result is that diversified-looking portfolios can carry far more concentrated and volatile risks than their labels suggest.

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