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Kominers's Conundrums: When Cartoon Pals Join Social Media – BNN

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(Bloomberg Opinion) — Life is like a hurricane sometimes. When that happens, I like to take refuge in puzzles. Solving a challenging Conundrum can help focus your mind and perhaps even carry you off to a whole new world for a bit.

So here’s a Conundrum that may sound cartoonishly corporate at first, but I promise: It will actually bring you to a place free from worries, where there’s magic everywhere:

Walt asked Donald to put together new social media profiles for some of his team members – but he wasn’t too pleased with what Donald came up with.

Can you determine whom these taglines are describing, and fit their names into the grid below? Once you do, you should be able to figure out how Walt characterized the whole operation – and that is this week’s answer.

  • Caped hero known for “getting dangerous”
  • Definitely not a llama
  • Eats eggs and decorates with antlers
  • Forgetful fish; found Nemo
  • Kid Hamlet
  • Klepto monkey
  • Little guy with top hat who recorded company theme song
  • Loves pie, but should stay away from apples
  • Necessity bear
  • Scrooge’s pilot
  • Smiley feline who appears to be purple
  • Space-age pretty boy; falls with style
  • Speechless to set foot on land
  • The green caballero
  • Toymaker with lifelike work (GEPPETTO)

We’ve included the character count for each row, and filled one in to help you get started. If you’re having trouble, maybe dig a little deeper into that individual’s background.

If you go the distance – or if you even make partial progress – please let us know at skpuzzles@bloomberg.net before midnight New York time on Thursday, October 8.

If you get stuck, there’ll be hints announced on Twitter and in Bloomberg Opinion Today. To be counted in the solver list, please include your full name with your answer.

Programming note: Next week, Conundrums will run on Sunday, October 11. If you have opinions about the optimal release day/time for the column, please let us know at skpuzzles@bloomberg.net.

Previously in Kominers’s Conundrums …

For our 24th edition, we played the “24” game, seeking to make 24 out of six different sets of integers. Every mathematical operation under the sun was fair game, and readers came up with some really clever solutions.

The numbers 2, 3, 8, 8 could actually be solved in many ways using just the standard arithmetic operations (e.g., (3/2) × (8 + 8) = 24), but Charlie Hyde, Renee Wu, and several others found an elegant solution using exponentiation: 8 + 8 + 2^3 = 8 + 8 + 8 = 24.

Winston Luo identified the unique arithmetic solution for 1, 3, 4, 6: 6/(1 –3/4) = 6/(1/4) = 24. Many other solvers noted an easier answer that uses exponentiation: 1^3 × 4 × 6 = 24. Ross Rheingans-Yoo observed that 1 × BB(3) + 4 + 6, where BB is the busy beaver function.(2)

The numbers 3, 4, 9, 10 are in some sense surprisingly difficult: there are no solutions with just standard arithmetic operations. But as Teodor Ionita-Radu  and Ryan Wigley showed, it’s much easier if you allow factorials: 3! × 4 × (10 – 9) = 6 × 4 × 1 = 24, and (((10 – 9) × 4!)/3!)! = 4! = 24. Alternatively, you could solve it using exponentiation, as Michael Carlile & Flat did: (10 – 4)^3/9 = 6^3/9 = 216/9 = 24.

Spaceman Spiff figured out the unique arithmetic solution for 4, 4, 10, 10: (10 × 10 – 4)/4 = 96/4 = 24. Others such as Kenny Zhu used the tens to get rid of one of the fours so they could write 24 as 4!: (10 – 10) × 4 + 4! = 0 + 4! = 24.

For 2, 2, 2, 64, Dean Ballard, Bob Day, and many others noticed the intended trick of making a 6 by taking a base-2 logarithm of 64: Log2(64) × 2^2 = 6 × 4 = 24. But procrastidigitation and Noam Elkies came up with creative alternate solutions involving fractions, factorials and roots:

Most solvers simply reduced 1, 2, 5, 24 to 24 multiplied by 1 to a power. I may be biased, but I prefer my own overkill solution, which like the solution just above uses both a factorial and a root:

We also posed two bonus challenges.

First, we asked whether you could combine all 24 of the integers we gave to make 24 once more.

Laurent Granger and Suproteem Sarkar came up with similar solutions here: Take the 24 from the last set, and then multiply that by 1 raised to a gigantic power constructed from all the other numbers:

Then, we asked whether anyone could make 24 from 2, 13, 15, and 72, which my editor had said was too difficult for the main Conundrum.

Michael Branicky and several other solvers came up with an answer using the floor function, which gives the greatest integer less than or equal to a given number: 24 = 72/(2 + Floor(15/13)). Zoz instead used the sum of prime factors function; Phil Hu and Jeremy Hurwitz found solutions using trigonometric functions; Sanandan Swaminathan and several others used modular math; Filbert Cua used the decrement operator; and Noam Elkies gave answers using the Tribonacci numbers and the gamma function.(4)But in fact, none of these were the answer I had found: I was using the Euler “totient function,” which counts the number of positive integers less than a given integer that share no factors with that integer other than 1. Totient(72) = 24, so 24 = Totient(72) × (15-13)/2.

Michael Branicky solved first, followed by Noam Elkies, Lazar Ilic, Suproteem Sarkar, Elizabeth Sibert, and Zoz. The other 25 solvers were Dean Ballard, Michael Carlile & Flat, Filbert Cua, Robert Day, Laurent Granger, Peter Haupt, Phil Hu, Jeremy Hurwitz, Charlie Hyde, Teodor Ionita-Radu, Kevin Ke, Winston Luo, Alex Ognev, Robbie Ostrow, Ryan Phua, Matthew Prins, procrastidigitation, Tom Rankin, Ross Rheingans-Yoo, Spaceman Spiff, Sanandan Swaminathan, Ryan Wigley, Renee Wu, and Kenny Zhu; plus over 300 people solved “3, 4, 9, 10” on Instagram.(3)

The Bonus Round

An awesome interactive domino game from Hevesh5! Fat Bear Week; an ode to crosswords; paradox-free time travel; whiskey hunters; and physics majors pwning golf (hat tip for the preceding two: Ellen Kominers). How to fold a bunny (hat tip: Robin Houston); a persistence of memory puzzle (hat tip: Eric Berlin); and the PostCurious puzzle/game roundup. Deep learning making music; a new way to generate primes; lost languages in one of the world’s oldest libraries. And inquiring minds want to know: will computers win the International Mathematical Olympiad one day?

(1) Rheingans-Yoo in fact came up with a solution for each set of numbers that used the numbers in the order we presented them!

(2) For example, 24 = 2 + 15 + (Tribonacci(13) / 72).

(3) Robbie Ostrow came up with a strategy for generating any number from any set of numbers, but we’ll be keeping that one secret pending future Conundrums.

This column does not necessarily reflect the opinion of the editorial board or Bloomberg LP and its owners.

Scott Duke Kominers is the MBA Class of 1960 Associate Professor of Business Administration at Harvard Business School, and a faculty affiliate of the Harvard Department of Economics. Previously, he was a junior fellow at the Harvard Society of Fellows and the inaugural research scholar at the Becker Friedman Institute for Research in Economics at the University of Chicago.

©2020 Bloomberg L.P.

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What to stream this weekend: ‘Civil War,’ Snow Patrol, ‘How to Die Alone,’ ‘Tulsa King’ and ‘Uglies’

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Hallmark launching a streaming service with two new original series, and Bill Skarsgård out for revenge in “Boy Kills World” are some of the new television, films, music and games headed to a device near you.

Also among the streaming offerings worth your time as selected by The Associated Press’ entertainment journalists: Alex Garland’s “Civil War” starring Kirsten Dunst, Natasha Rothwell’s heartfelt comedy for Hulu called “How to Die Alone” and Sylvester Stallone’s second season of “Tulsa King” debuts.

NEW MOVIES TO STREAM SEPT. 9-15

Alex Garland’s “Civil War” is finally making its debut on MAX on Friday. The film stars Kirsten Dunst as a veteran photojournalist covering a violent war that’s divided America; She reluctantly allows an aspiring photographer, played by Cailee Spaeny, to tag along as she, an editor (Stephen McKinley Henderson) and a reporter (Wagner Moura) make the dangerous journey to Washington, D.C., to interview the president (Nick Offerman), a blustery, rising despot who has given himself a third term, taken to attacking his citizens and shut himself off from the press. In my review, I called it a bellowing and haunting experience; Smart and thought-provoking with great performances. It’s well worth a watch.

— Joey King stars in Netflix’s adaptation of Scott Westerfeld’s “Uglies,” about a future society in which everyone is required to have beautifying cosmetic surgery at age 16. Streaming on Friday, McG directed the film, in which King’s character inadvertently finds herself in the midst of an uprising against the status quo. “Outer Banks” star Chase Stokes plays King’s best friend.

— Bill Skarsgård is out for revenge against the woman (Famke Janssen) who killed his family in “Boy Kills World,” coming to Hulu on Friday. Moritz Mohr directed the ultra-violent film, of which Variety critic Owen Gleiberman wrote: “It’s a depraved vision, yet I got caught up in its kick-ass revenge-horror pizzazz, its disreputable commitment to what it was doing.”

AP Film Writer Lindsey Bahr

NEW MUSIC TO STREAM SEPT. 9-15

— The year was 2006. Snow Patrol, the Northern Irish-Scottish alternative rock band, released an album, “Eyes Open,” producing the biggest hit of their career: “Chasing Cars.” A lot has happened in the time since — three, soon to be four quality full-length albums, to be exact. On Friday, the band will release “The Forest Is the Path,” their first new album in seven years. Anthemic pop-rock is the name of the game across songs of love and loss, like “All,”“The Beginning” and “This Is the Sound Of Your Voice.”

— For fans of raucous guitar music, Jordan Peele’s 2022 sci-fi thriller, “NOPE,” provided a surprising, if tiny, thrill. One of the leads, Emerald “Em” Haywood portrayed by Keke Palmer, rocks a Jesus Lizard shirt. (Also featured through the film: Rage Against the Machine, Wipers, Mr Bungle, Butthole Surfers and Earth band shirts.) The Austin noise rock band are a less than obvious pick, having been signed to the legendary Touch and Go Records and having stopped releasing new albums in 1998. That changes on Friday the 13th, when “Rack” arrives. And for those curious: The Jesus Lizard’s intensity never went away.

AP Music Writer Maria Sherman

NEW SHOWS TO STREAM SEPT. 9-15

— Hallmark launched a streaming service called Hallmark+ on Tuesday with two new original series, the scripted drama “The Chicken Sisters” and unscripted series “Celebrations with Lacey Chabert.” If you’re a Hallmark holiday movies fan, you know Chabert. She’s starred in more than 30 of their films and many are holiday themed. Off camera, Chabert has a passion for throwing parties and entertaining. In “Celebrations,” deserving people are surprised with a bash in their honor — planned with Chabert’s help. “The Chicken Sisters” stars Schuyler Fisk, Wendie Malick and Lea Thompson in a show about employees at rival chicken restaurants in a small town. The eight-episode series is based on a novel of the same name.

Natasha Rothwell of “Insecure” and “The White Lotus” fame created and stars in a new heartfelt comedy for Hulu called “How to Die Alone.” She plays Mel, a broke, go-along-to-get-along, single, airport employee who, after a near-death experience, makes the conscious decision to take risks and pursue her dreams. Rothwell has been working on the series for the past eight years and described it to The AP as “the most vulnerable piece of art I’ve ever put into the world.” Like Mel, Rothwell had to learn to bet on herself to make the show she wanted to make. “In the Venn diagram of me and Mel, there’s significant overlap,” said Rothwell. It premieres Friday on Hulu.

— Shailene Woodley, DeWanda Wise and Betty Gilpin star in a new drama for Starz called “Three Women,” about entrepreneur Sloane, homemaker Lina and student Maggie who are each stepping into their power and making life-changing decisions. They’re interviewed by a writer named Gia (Woodley.) The series is based on a 2019 best-selling book of the same name by Lisa Taddeo. “Three Women” premieres Friday on Starz.

— Sylvester Stallone’s second season of “Tulsa King” debuts Sunday on Paramount+. Stallone plays Dwight Manfredi, a mafia boss who was recently released from prison after serving 25 years. He’s sent to Tulsa to set up a new crime syndicate. The series is created by Taylor Sheridan of “Yellowstone” fame.

Alicia Rancilio

NEW VIDEO GAMES TO PLAY

— One thing about the title of Focus Entertainment’s Warhammer 40,000: Space Marine 2 — you know exactly what you’re in for. You are Demetrian Titus, a genetically enhanced brute sent into battle against the Tyranids, an insectoid species with an insatiable craving for human flesh. You have a rocket-powered suit of armor and an arsenal of ridiculous weapons like the “Chainsword,” the “Thunderhammer” and the “Melta Rifle,” so what could go wrong? Besides the squishy single-player mode, there are cooperative missions and six-vs.-six free-for-alls. You can suit up now on PlayStation 5, Xbox X/S or PC.

— Likewise, Wild Bastards isn’t exactly the kind of title that’s going to attract fans of, say, Animal Crossing. It’s another sci-fi shooter, but the protagonists are a gang of 13 varmints — aliens and androids included — who are on the run from the law. Each outlaw has a distinctive set of weapons and special powers: Sarge, for example, is a robot with horse genes, while Billy the Squid is … well, you get the idea. Australian studio Blue Manchu developed the 2019 cult hit Void Bastards, and this Wild-West-in-space spinoff has the same snarky humor and vibrant, neon-drenched cartoon look. Saddle up on PlayStation 5, Xbox X/S, Nintendo Switch or PC.

Lou Kesten

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Trump could cash out his DJT stock within weeks. Here’s what happens if he sells

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Former President Donald Trump is on the brink of a significant financial decision that could have far-reaching implications for both his personal wealth and the future of his fledgling social media company, Trump Media & Technology Group (TMTG). As the lockup period on his shares in TMTG, which owns Truth Social, nears its end, Trump could soon be free to sell his substantial stake in the company. However, the potential payday, which makes up a large portion of his net worth, comes with considerable risks for Trump and his supporters.

Trump’s stake in TMTG comprises nearly 59% of the company, amounting to 114,750,000 shares. As of now, this holding is valued at approximately $2.6 billion. These shares are currently under a lockup agreement, a common feature of initial public offerings (IPOs), designed to prevent company insiders from immediately selling their shares and potentially destabilizing the stock. The lockup, which began after TMTG’s merger with a special purpose acquisition company (SPAC), is set to expire on September 25, though it could end earlier if certain conditions are met.

Should Trump decide to sell his shares after the lockup expires, the market could respond in unpredictable ways. The sale of a substantial number of shares by a major stakeholder like Trump could flood the market, potentially driving down the stock price. Daniel Bradley, a finance professor at the University of South Florida, suggests that the market might react negatively to such a large sale, particularly if there aren’t enough buyers to absorb the supply. This could lead to a sharp decline in the stock’s value, impacting both Trump’s personal wealth and the company’s market standing.

Moreover, Trump’s involvement in Truth Social has been a key driver of investor interest. The platform, marketed as a free speech alternative to mainstream social media, has attracted a loyal user base largely due to Trump’s presence. If Trump were to sell his stake, it might signal a lack of confidence in the company, potentially shaking investor confidence and further depressing the stock price.

Trump’s decision is also influenced by his ongoing legal battles, which have already cost him over $100 million in legal fees. Selling his shares could provide a significant financial boost, helping him cover these mounting expenses. However, this move could also have political ramifications, especially as he continues his bid for the Republican nomination in the 2024 presidential race.

Trump Media’s success is closely tied to Trump’s political fortunes. The company’s stock has shown volatility in response to developments in the presidential race, with Trump’s chances of winning having a direct impact on the stock’s value. If Trump sells his stake, it could be interpreted as a lack of confidence in his own political future, potentially undermining both his campaign and the company’s prospects.

Truth Social, the flagship product of TMTG, has faced challenges in generating traffic and advertising revenue, especially compared to established social media giants like X (formerly Twitter) and Facebook. Despite this, the company’s valuation has remained high, fueled by investor speculation on Trump’s political future. If Trump remains in the race and manages to secure the presidency, the value of his shares could increase. Conversely, any missteps on the campaign trail could have the opposite effect, further destabilizing the stock.

As the lockup period comes to an end, Trump faces a critical decision that could shape the future of both his personal finances and Truth Social. Whether he chooses to hold onto his shares or cash out, the outcome will likely have significant consequences for the company, its investors, and Trump’s political aspirations.

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Arizona man accused of social media threats to Trump is arrested

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Cochise County, AZ — Law enforcement officials in Arizona have apprehended Ronald Lee Syvrud, a 66-year-old resident of Cochise County, after a manhunt was launched following alleged death threats he made against former President Donald Trump. The threats reportedly surfaced in social media posts over the past two weeks, as Trump visited the US-Mexico border in Cochise County on Thursday.

Syvrud, who hails from Benson, Arizona, located about 50 miles southeast of Tucson, was captured by the Cochise County Sheriff’s Office on Thursday afternoon. The Sheriff’s Office confirmed his arrest, stating, “This subject has been taken into custody without incident.”

In addition to the alleged threats against Trump, Syvrud is wanted for multiple offences, including failure to register as a sex offender. He also faces several warrants in both Wisconsin and Arizona, including charges for driving under the influence and a felony hit-and-run.

The timing of the arrest coincided with Trump’s visit to Cochise County, where he toured the US-Mexico border. During his visit, Trump addressed the ongoing border issues and criticized his political rival, Democratic presidential nominee Kamala Harris, for what he described as lax immigration policies. When asked by reporters about the ongoing manhunt for Syvrud, Trump responded, “No, I have not heard that, but I am not that surprised and the reason is because I want to do things that are very bad for the bad guys.”

This incident marks the latest in a series of threats against political figures during the current election cycle. Just earlier this month, a 66-year-old Virginia man was arrested on suspicion of making death threats against Vice President Kamala Harris and other public officials.

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