Bạn muốn tìm game có thể sử dụng với vô lăng lái xe (steering wheel gear) mới mua — rất tuyệt! Dưới đây là danh sách một số game đua xe phổ biến hỗ trợ vô lăng rất tốt:

giải thích rõ ràng và dễ hiểu về:

1. ✅ Định lý Euler trong đồ thị

2. ✅ Bài toán người đưa thư Trung Hoa (Chinese Postman Problem)

3. ✅ Mối liên hệ giữa chúng và cách giải bài toán thực tế

🔷 1. Định lý Euler trong đồ thị

Leonhard Euler là người đầu tiên đặt nền móng cho lý thuyết đồ thị khi ông giải bài toán nổi tiếng về 7 cây cầu ở Königsberg.

✅ Định lý Euler (Eulerian trail & Eulerian circuit)

Gọi G là một đồ thị liên thông.

• Nếu mọi đỉnh trong G đều có bậc chẵn, thì tồn tại một chu trình Euler (Eulerian circuit):
  → Một đường đi bắt đầu và kết thúc tại cùng một đỉnh, đi qua mỗi cạnh đúng 1 lần.

• Nếu chỉ có đúng 2 đỉnh bậc lẻ, thì tồn tại một đường đi Euler (Eulerian trail):
  → Một đường đi khác điểm đầu và điểm cuối, nhưng vẫn đi qua mỗi cạnh đúng 1 lần.

• Nếu có nhiều hơn 2 đỉnh bậc lẻ, không tồn tại đường đi Euler nào.

🔷 2. Bài toán người đưa thư Trung Hoa (Chinese Postman Problem)

🧠 Mô tả:

Một người đưa thư phải:

• Xuất phát từ một điểm,

• Đi qua mỗi con đường ít nhất một lần,

• Quay lại điểm ban đầu (chu trình),

• Và tổng quãng đường là nhỏ nhất.

→ Đây là một biến thể mềm hóa của bài toán Euler:

• Cho phép đi lại 1 số cạnh nếu cần thiết,

• Nhưng phải lặp ít nhất có thể để giảm tổng quãng đường.

✅ Chiến lược giải bài toán người đưa thư:

1. Kiểm tra bậc của tất cả các đỉnh

   • Nếu tất cả đều chẵn → Chu trình Euler tồn tại → Tổng = tổng các cạnh

   • Nếu có 2 đỉnh bậc lẻ → Tìm đường ngắn nhất giữa chúng, lặp lại nó → Tổng = tổng các cạnh + đoạn phụ thêm

   • Nếu có nhiều đỉnh bậc lẻ (4, 6,...) → Ghép cặp các đỉnh bậc lẻ theo cách tối ưu để giảm tổng quãng đường phụ thêm

2. Thêm các đoạn cần lặp lại (ảo) để biến đồ thị thành Eulerian (tất cả bậc chẵn)

3. Tìm chu trình Euler trong đồ thị đã chỉnh sửa

🔗 Mối liên hệ giữa 2 phần:

🔚 Kết luận

• Định lý Euler là cơ sở lý thuyết → cho biết có cần đi lại cạnh không.

• Bài toán người đưa thư là ứng dụng thực tế → làm sao đi ít nhất mà vẫn qua đủ.

WATCH: Scott Jennings Slams Democrats for Bringing an Illegal Alien from El Salvador

When it comes to protecting our country, there's no room for weakness—and the Democrats are showing their true colors. They allowed an illegal alien from El Salvador into our nation, and let me tell you, it’s a disaster waiting to happen. Scott Jennings, who’s been on CNN and isn’t afraid to speak the truth, nailed it every time he talked about this, and his response is exactly what we need to hear.

Kilmar Abrego Garcia – A Symbol of Failed Immigration Policy

This isn’t just any case. Kilmar Abrego Garcia is the individual in question—a man alleged to have ties with the dangerous MS-13 gang in El Salvador. The Democrats want you to believe that this is a compassionate move, but anyone paying attention knows it’s a complete mess. Bringing someone like Garcia into our country isn’t just a mistake—it’s a recipe for chaos. It’s a clear example of how weak leadership endangers our national safety.

Scott Jennings – Telling It Like It Is

In a powerful clip that’s gone viral, Scott Jennings didn’t hold back. When someone foolishly suggested that Senator Chris Van Hollen was even remotely involved, Jennings shot back with a punch:

“His senator? He’s from El Salvador!”

That’s right. It’s a bold statement that cuts right through the nonsense. If you allow individuals with such troubling backgrounds into the country, you’re putting American lives at risk. And no one understands that better than those who demand strong, uncompromising leadership.

The Stark Reality of Current Immigration Policies

• National Security at Risk:
  Let’s be clear—allowing someone with alleged gang ties, like Kilmar Abrego Garcia, into our country is a threat to national security. We can’t afford to be soft on this. America needs tough policies and strong borders; anything less is unacceptable.

• Weak Leadership and Dangerous Policies:
  The Democrats’ so-called “compassionate” approach to immigration has turned into a dangerous liability. Their policies are not only misguided; they’re dangerous. We need leaders who put America first, not those who gamble with our safety for political points.

• A Call for a Stronger America:
  Jennings’ unforgettable line isn’t just a sound bite—it’s a warning. It’s time to wake up to the reality that our immigration system needs a complete overhaul. We must adopt policies that prioritize our security and put American citizens first, because that’s what truly matters.

Conclusion

The truth is plain and simple: our country deserves better than the weak policies that let dangerous elements slip through the cracks. Scott Jennings’ fierce remark—“His senator? He’s from El Salvador!”—sums up the frustration with the Democrats’ disastrous approach. It’s time to stand up and demand an immigration system that protects our nation first and foremost. America must be strong, secure, and first in everything—no more half measures, and no more excuses.

 Attorney General Pam Bondi provided details on the arrest of Henrry Josue Villatoro Santos, a 24-year-old illegal immigrant from El Salvador, who is believed to be a top leader of the violent MS-13 gang. Santos was taken into custody early Thursday morning in Virginia by federal agents.

During an interview on The Ingraham Angle, Bondi revealed that Santos had likely been in the U.S. for over a decade and was recruited into MS-13 while still in middle school.

"We believe he was recruited in middle school — in middle school!" Bondi emphasized.

She further criticized the Biden administration for not taking action against illegal immigrants involved in criminal activities.

"He's been living here illegally with friends and family, and the Biden administration did absolutely nothing to deport these people. You know, as the president says, we didn't need new laws, we needed a new president to fix this."

Charges and Arrest Details

Santos was arrested on an outstanding warrant and was also charged with illegal gun possession after authorities searched his residence, according to the Associated Press.

Bondi credited a task force consisting of the Drug Enforcement Administration (DEA), Federal Bureau of Investigation (FBI), U.S. Marshals, and U.S. Immigration and Customs Enforcement (ICE) for working together to apprehend Santos.

"He was one of the top leaders, and he was living half an hour from where we're sitting right now, living among us," Bondi stated. "We took one of the worst of the worst off the streets today. Americans are safer because of Donald Trump."

Virginia Authorities Respond

Virginia Governor Glenn Youngkin also praised state and local agencies for their efforts in combating organized crime. In a press conference alongside FBI Director Kash Patel, Youngkin highlighted the state's dedication to eliminating criminal and terrorist networks.

"We are committed to eradicating the drug and terrorist networks that exist," Youngkin affirmed.

MS-13 Designation as a Terrorist Organization

MS-13, also known as Mara Salvatrucha, was officially designated as a foreign terrorist organization by the State Department in February. The designation also applied to Tren de Aragua and the Sinaloa Cartel, reflecting the increasing efforts to combat transnational criminal organizations operating within the U.S.

Santos' arrest marks a significant step in law enforcement’s battle against gang violence and organized crime, ensuring that communities remain safe from one of the most dangerous criminal organizations in the world.

 Bạn đang tìm AI tạo video đa năng (có thể làm nhiều loại video khác nhau) đúng không? Dưới đây là một số công cụ AI mạnh mẽ có thể giúp bạn tạo video theo nhiều phong cách khác nhau:

🔹 1. AI tạo video từ văn bản (Text-to-Video)

👉 Dùng để biến mô tả thành video, phù hợp làm nội dung nhanh

• Runway ML (Gen-2) – Tạo video từ văn bản hoặc hình ảnh.

• Pika Labs – Biến mô tả thành video ngắn, sáng tạo.

• Stable Video Diffusion – Dành cho ai thích chạy AI trên máy tính cá nhân.

🌐 Truy cập:

• https://runwayml.com

• https://pika.art

🔹 2. AI tạo video có nhân vật ảo (Avatar AI Video)

👉 Dùng để tạo video thuyết trình, quảng cáo, AI dẫn chương trình

• Synthesia – Dùng AI avatar để đọc văn bản thành video.

• D-ID – Tạo video từ ảnh tĩnh với AI nói chuyện.

• HeyGen – AI tạo video với nhân vật có biểu cảm tự nhiên.

🌐 Truy cập:

• https://www.synthesia.io

• https://www.d-id.com

🔹 3. AI tạo video từ hình ảnh (Image-to-Video AI)

👉 Dùng để tạo hiệu ứng chuyển động từ ảnh tĩnh

• Kaiber AI – Biến hình ảnh thành video động.

• LeiaPix AI – Chuyển đổi ảnh 2D thành video 3D.

• Deep Nostalgia – Làm ảnh chân dung cũ chuyển động.

🌐 Truy cập:

• https://kaiber.ai

• https://leiapix.com

🔹 4. AI chỉnh sửa & dựng video (AI Video Editing)

👉 Dùng để chỉnh sửa video tự động, thêm hiệu ứng thông minh

• Adobe Firefly Video – AI hỗ trợ chỉnh sửa video chuyên nghiệp.

• Descript – Chỉnh sửa video bằng cách chỉnh sửa văn bản.

• Wisecut – AI cắt ghép video thông minh, tự động thêm phụ đề.

🌐 Truy cập:

• https://www.descript.com

• https://www.wisecut.video

🔹 5. AI tạo video hoạt hình (AI Animation Video)

👉 Dùng để tạo phim hoạt hình hoặc video vẽ tay tự động

• Animaker – AI giúp tạo hoạt hình đơn giản.

• DeepMotion – Tạo hoạt hình chuyển động từ video người thật.

• Toonify AI – Chuyển ảnh hoặc video thành phong cách hoạt hình.

🌐 Truy cập:

• https://www.animaker.com

• https://deepmotion.com

1️⃣ HunyuanVideo (Tencent) - Mới nhất, mạnh mẽ nhất 🚀

📌 Link GitHub: https://github.com/Tencent/HunyuanVideo

🔹 Ưu điểm:
✅ Chất lượng video cao (hỗ trợ 720p - 1080p).
✅ Mô hình mở hoàn toàn, có thể tùy chỉnh.
✅ Hỗ trợ cài đặt trên Linux & Windows (có GPU mạnh).

🔹 Yêu cầu phần cứng:

• GPU NVIDIA có tối thiểu 12GB VRAM (RTX 3060 trở lên).

• RAM: 16GB trở lên.

• Hệ điều hành: Ubuntu 20.04 / Windows 10+ (yêu cầu WSL2 nếu chạy trên Windows).

🔹 Cách cài đặt:

bash
Sao chépChỉnh sửa
git clone https://github.com/Tencent/HunyuanVideo.git
cd HunyuanVideo
pip install -r requirements.txt
python generate.py --prompt "A futuristic city with flying cars"

2️⃣ Mochi 1 (Genmo AI) - Tạo video đẹp, giấy phép Apache 2.0 🎬

📌 Link GitHub: https://github.com/genmoai/mochi

🔹 Ưu điểm:
✅ Video đẹp, tự nhiên, phù hợp cho sáng tạo nội dung.
✅ Chạy trên PC cá nhân có GPU.
✅ Giấy phép Apache 2.0 (dễ sử dụng thương mại).

🔹 Yêu cầu phần cứng:

• GPU NVIDIA (tốt nhất từ RTX 3070 trở lên).

• RAM: 16GB+.

• Hệ điều hành: Ubuntu / Windows (WSL2).

🔹 Cách cài đặt:

bash
Sao chépChỉnh sửa
git clone https://github.com/genmoai/mochi.git
cd mochi
pip install -r requirements.txt
python generate.py --prompt "A cat flying in space"

3️⃣ Open-Sora - Bản mở rộng của Sora (OpenAI) 🎥

📌 Link GitHub: https://github.com/hpcaitech/Open-Sora

🔹 Ưu điểm:
✅ Giống Sora của OpenAI, nhưng mở hoàn toàn.
✅ Chạy được trên Windows.
✅ Có thể tạo video dài hơn 5 giây.

🔹 Yêu cầu phần cứng:

• GPU NVIDIA 24GB VRAM (RTX 3090, 4090, A100).

• RAM: 32GB+.

• Ổ cứng SSD: 100GB trống.

🔹 Cách cài đặt:

bash
Sao chépChỉnh sửa
git clone https://github.com/hpcaitech/Open-Sora.git
cd Open-Sora
pip install -r requirements.txt
python run.py --prompt "A beautiful landscape with mountains"

🔥 Kết luận: Bạn nên chọn AI nào?

🔹 Máy yếu (RTX 3060 - 3070)? → Dùng Mochi 1.
🔹 Máy trung bình (RTX 3080 - 3090)? → Dùng HunyuanVideo.
🔹 Máy cực mạnh (RTX 4090, A100)? → Dùng Open-Sora.

💡 Bạn đang dùng GPU nào? Mình hướng dẫn cài đặt chi tiết cho! 🚀

Breaking News

A scandal involving Signal’s group chat feature has erupted this morning, sending shockwaves through the secure messaging community. Early reports indicate that undisclosed messages and alleged breaches in user privacy have sparked widespread concern, prompting both users and experts to demand answers.

Latest Updates

• 11:00 AM EDT:
  Reports have emerged of leaked messages from a prominent Signal group chat, with allegations that sensitive discussions were exposed to unauthorized parties. No official statement has been released by Signal yet.

• 10:30 AM EDT:
  Multiple sources suggest that a security flaw in the group chat functionality may have contributed to the leak. Experts are currently reviewing the encrypted logs to determine if the breach was a result of external hacking or internal mismanagement.

• 10:00 AM EDT:
  Several users took to social media platforms, sharing screenshots and details of the disputed messages. While the authenticity of these posts is still under verification, the volume of shared content has already fueled public debate about Signal’s security protocols.

Background

Signal has long been celebrated for its robust end-to-end encryption and commitment to user privacy. However, this recent scandal has cast a shadow over its reputation. Insiders hint at possible internal challenges in managing large group chats and ensuring that all security measures function flawlessly under high traffic. As this story develops, users are advised to stay updated through official channels and trusted news sources.

Expert Analysis

Security experts are closely monitoring the situation, noting that:

• Encryption Integrity:
  Despite the scandal, Signal’s core encryption technology remains among the best available. The current focus is on understanding how peripheral features might have been exploited.

• Internal Oversight:
  Industry analysts suggest that a lapse in internal security oversight could be to blame rather than a fundamental flaw in the encryption itself. Experts emphasize that even top-tier platforms can face challenges when scaling up group functionalities.

• User Impact:
  With millions relying on Signal for confidential communications, any breach of trust—even if isolated to group chats—could have a significant impact on user confidence.

Official Response

Signal’s spokesperson has confirmed that the company is "investigating the reported issues" and is committed to transparency. An official statement is expected within the next few hours. In the meantime, users are urged to exercise caution and monitor their account activity.

Next Steps

• Investigation Ongoing:
  Authorities and independent cybersecurity experts are collaborating with Signal to conduct a full investigation into the incident.

• Community Feedback:
  The user community is rallying on various social media platforms, calling for enhanced security features and greater transparency from Signal.

• Follow-Up Updates:
  This live update will continue to provide the latest verified information as it becomes available.

Disclaimer: This article is based on rapidly evolving reports and early sources. Details are subject to change as further investigations confirm or refute initial claims. For verified updates, please refer to official Signal communications or major news outlets.

During a press interaction at Joint Base Andrews, former President Donald Trump encountered an unexpected moment when a reporter's microphone accidentally struck him in the face. The incident occurred as Trump was engaging with the media, discussing various topics of national interest.

As the microphone made contact, Trump momentarily paused and then fixed his gaze on the reporter responsible. With his characteristic wit, he remarked, "She just became a big story tonight." His response elicited laughter from those present, diffusing any potential tension from the situation.

The moment quickly gained traction on social media, with users sharing clips and commenting on Trump's reaction. Some found his quip humorous and reflective of his ability to handle unexpected situations with a sense of humor, while others debated the implications of the incident.

Despite the brief interruption, Trump continued addressing the press, reaffirming his stance on key issues. The incident served as a lighthearted yet memorable moment in his ongoing public appearances.

RFK Jr.: Trump Wants ‘Radical Transparency’ on Food Safety & Vaccine Freedom

Robert F. Kennedy Jr. (RFK Jr.), a well-known environmental activist and attorney, has been vocal about his concerns regarding food safety and vaccine policies. Recently, he has found an unexpected ally in former President Donald Trump, who has expressed support for greater transparency in these areas.

RFK Jr.'s Views on Food Safety and Vaccine Freedom

RFK Jr. has long criticized the presence of harmful additives in food and the use of fluoride in drinking water, arguing that these practices pose serious health risks. He has also been critical of regulatory agencies, claiming they fail to protect public health effectively. His push for reforms aims to increase transparency and accountability within these institutions.

On the issue of vaccines, RFK Jr. has been a controversial figure, questioning the safety of certain vaccines and advocating for further research. While mainstream scientific studies have repeatedly debunked claims linking vaccines to autism, he continues to call for more transparency in vaccine programs and regulatory processes.

Trump’s Support for ‘Radical Transparency’

Donald Trump has recently endorsed the idea of "radical transparency" in food safety and vaccine policies, aligning with RFK Jr.’s concerns. This move is seen as part of his broader effort to appeal to voters who are skeptical of government oversight in public health matters.

Trump has also ordered the declassification of documents related to historical government cover-ups, including those concerning the assassinations of John F. Kennedy, Robert F. Kennedy, and Martin Luther King Jr. This signals his commitment to setting new standards for transparency.

RFK Jr.'s rumored role in a potential Trump administration—possibly as Secretary of Health and Human Services—has sparked debate. Supporters argue that his involvement could bring much-needed reform, while critics fear his controversial stance on vaccines could undermine public health initiatives.

Public Reaction and Future Prospects

The possibility of RFK Jr. holding a key role in Trump’s administration has elicited mixed reactions. Many public health experts worry that his vaccine skepticism could weaken national immunization programs. However, his supporters believe that his push for transparency and reform could lead to positive changes in the healthcare system.

If confirmed for a leadership role, RFK Jr. will face the challenge of balancing reform efforts while maintaining public trust in health institutions. His collaboration with Trump could reshape U.S. food safety and vaccine policies, but it also raises critical questions about the long-term impact on public health and scientific integrity.

 In a lively discussion over tariffs last night, Kevin O’Leary – better known as Mr. Wonderful – didn’t hold back his thoughts on CNN’s Abby Phillip. During the exchange, O’Leary remarked, “I know you don’t like Trump’s style – you haven’t liked it for 12 years,” addressing what he perceives as Phillip’s long-standing criticism of the former president’s approach.

Abby Phillip had been objecting to the way Trump announces tariffs only to later pause them, a tactic that O’Leary quickly defended by declaring, “That’s negotiation!” His comments underscored his belief that such strategic pauses are part of an effective bargaining process.

This spirited debate highlights the ongoing media scrutiny of Trump’s methods, as well as the contrasting perspectives on his economic policies. For those interested in the full exchange and its nuances, be sure to watch the video below.

[Watch the full clip here]

This incident adds another chapter to the broader narrative of media personalities and political figures clashing over policy and style, with Mr. Wonderful standing firmly in support of Trump’s tactics.

In a video that’s rapidly circulating online, President Trump delivered a characteristically sharp response after a Washington Post reporter attempted to bait him with a question about Russia “disrespecting” him. What followed was a long, wide-ranging set of remarks covering everything from media tactics to international affairs and domestic issues.

A Bait Question and a Quick Rebuff

The exchange began when a reporter from The Washington Post posed a question that appeared designed to trap the President into making a controversial statement about Russia. Trump immediately found the question peculiar. Instead of engaging directly, he asked the reporter which news organization he represented. When the reporter replied “The Washington Post,” Trump’s response was swift and humorous as he quickly moved on from what he described as a setup by “fake news.”

Extended Remarks: From Relationships to Rebuilding

Following the initial rebuke, Trump’s comments shifted into a broader discussion:

• On Personal and Diplomatic Relationships:
  “I have a very good relationship with President Xi. Very good,” Trump noted, hinting at potential future dealings with China. He mentioned dealing with “four different groups” and indicated that, although many have interests at stake, all four groups are “good” and it’s ultimately up to him to decide.

• On His Cabinet and Internal Affairs:
  Addressing questions about tensions within his administration, Trump reassured that there’s no serious discord among his cabinet. He praised his team as “special people” who have reached the highest levels of government. Even though he acknowledged that “hundreds of billions of dollars of waste, fraud and abuse” have been uncovered through questionable contracts, he maintained that these issues are more about fraudulent practices than personal conflicts—and overall, his cabinet gets along very well.

• On Operational Challenges and Quick Thinking:
  Shifting topics, Trump recounted an incident involving a small plane. “I think the Southwest pilot did a fantastic job last week when he lifted that plane off the air,” he said, emphasizing that immediate action saved the day. He even suggested that if the pilot had “put the brakes on” or if the license had been revoked for the plane that got in its way, the outcome might have been very different.

Global Affairs: Military Exercises, Negotiations, and the Ukraine Conflict

When asked about military exercises being conducted by Russia, China, and Iran, Trump’s response was unambiguous:

“No, not at all, not at all. Why? Because we're stronger than all of them. We have more power than all of them.”

He continued by boasting about his role in rebuilding the military—a task he claimed Biden failed to address. Trump expressed optimism about the future, particularly pointing to the negotiations in Saudi Arabia. He predicted that “very big things could happen this week,” even as he lamented the ongoing tragedy in Ukraine:

• On Ukraine and Peace:
  Trump noted the heavy toll of the conflict, stating that thousands of young soldiers and hundreds of civilians had already died. “It would have never happened if I was president,” he asserted, arguing that the current state of affairs—including events like the controversial October 7th and subsequent inflation and the problematic withdrawal from Afghanistan—would have been avoided under his leadership.

• On Lifting Intel Laws and Making Deals:
  When questioned about easing intelligence restrictions on Ukraine, Trump was measured yet resolute. He stressed that both Ukraine and Russia “don’t have the cards” and that making a deal to stop the killing is essential to ending what he described as a senseless war.

Economic Predictions and Concluding Remarks

Toward the close of his remarks, Trump turned to economic issues. He predicted that the country would soon be bringing in “hundreds of billions of dollars in tariffs,” which would, in his view, result in booming job creation and the reopening of factories. “You're not going to know where to spend all that money,” he declared, his tone mixing certainty with optimism.

As he wrapped up, Trump thanked his audience and fielded what he called “a lot of good questions,” leaving viewers with the impression that his characteristic blend of humor, deflection, and assertive policy commentary was very much on display.