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New Intelligence Report

Editor: Peach is so sleepy

【New Wisdom Introduction】The final results of IMO 2024 are finally out! Unprecedentedly, the US team won first place again four years later, two points ahead of the Chinese team. For LLM, the easiest first question of IMO, GPT-4o, Claude 3.5 Sonnet and other models all failed to answer.

China's record of winning the IMO championship for five consecutive years has now been broken by the American team!

In recent days, the 65th IMO announced the final winning national team. The United States ranked first with 192 points, and China ranked second with a difference of 2 points.

It is worth mentioning that the Indian team reached the fourth place for the first time.

The Chinese and American IMO teams each won 5 gold medals and 1 silver medal

IMO is the world's top high school mathematics competition, attracting outstanding young mathematicians from all over the world.

This year, 609 students from 108 countries and regions participated in the competition.

Haojia Shi from the Chinese team has achieved perfect scores twice in a row and is the seventh player in history to achieve perfect scores.

American athletes Alexander Wang and Jessica Wan ranked third and fifth respectively in the individual rankings.

Six players, four of whom are Chinese

从左到右：Jessica Wan, Alexander Wang, Tiger Zhang, Jordan Lefkowitz, Carl Schildkraut (Deputy Leader), Krishna Pothapragada, Linus Tang

The 2024 U.S. IMO team members are:

- Jordan Lefkowitz, 17 (Connecticut)

- Krishna Pothapragada, 18 years old (Illinois)

- Jessica Wan, 18 years old (Florida)

- Alexander Wang, 16 years old (New Jersey)

- Qiao (Tiger) Zhang, 16 (California)

- Linus Tang, 18 years old (California)

Jessica Wan is the first woman to join the US IMO team since 2007. Although her personal performance did not reach the Grand Slam, she still scored 4 perfect scores.

Before that, she was already a top student in mathematics.

Last year, Jessica Wan, a high school student, won three consecutive championships at the 15th Women in Mathematics (MP4G) Competition held by MIT.

In the competition, Jessica answered 17 out of 20 questions correctly, becoming the most successful participant in this MP4G competition.

She also participated in the European Girls Mathematical Olympiad (EGMO) for four consecutive years, winning first place twice.

Alexander Wang is a freshman at Millburn School in New Jersey.

Mathematics is an interesting and simple subject for him. Wang has been interested in mathematics since kindergarten.

In order to help more students learn mathematics and discover the fun of mathematics, he teamed up with Angelina Wang and Bill Sun to establish a non-profit organization - Impact Learners.

It is worth mentioning that he is also a member of the US team for IMO 2023. He won the individual gold medal and team championship at the 2023 Romanian Mathematics Masters, and he was also selected twice for the MATHCOUNTS national competition.

Linus Tang is an online student at Davidson Academy in Reno, Nevada. In 2021, he won first place in combinatorial mathematics at the Stanford Mathematics Championship.

In the spring of 2022, he studied the mathematical principles of a game called "Bulgarian Cards".

When Linus was one year old, he won his first math award, Math Kangaroo. He said that he spent a lot of time on jigsaw puzzles in his early childhood, which helped him develop his visual skills.

IMO leader has changed over the past decade

It is worth mentioning that the victory of the American team this time is also related to the project leader.

Since 2014, the US IMO team has been led by Chinese-American mathematician and CMU professor Po-Shen Loh, who led the US team to win the IMO gold medal in 2015, 2016, 2018 and 2019.

In 2019, the Chinese team and the American team tied for first place. Four years later, the Chinese team has topped the list and the American team has been ranked second in the world.

This time, John Berman became the leader of the US IMO team.

He received his bachelor's degree in mathematics from MIT and his PhD in mathematics from the University of Virginia in 2018. Currently, he is also an instructor for Geodemath online courses.

After the team won, Berman posted a message to celebrate.

IMO 2024 Exam Questions

This International Mathematical Olympiad has a total of 6 questions and the answer time is 9 hours.

The following is the complete test paper content. Those who are interested can try it.

Analysis of the first question: https://www.youtube.com/watch?v=50W_ntnPX0k

Analysis of the second question: https://www.youtube.com/watch?v=VXFG1t_ksfI

Analysis of the third question: https://www.youtube.com/watch?v=ASV1dZCuWGs

Solution to question 4: https://www.youtube.com/watch?v=WnZv3fdpFXo

Solution for Question 5: https://www.youtube.com/watch?v=wfQkk9WktGE

Analysis of Question 6: https://www.youtube.com/watch?v=7h3gJfWnDoc

IMO first question, big model failed miserably

Some netizens said that the IMO test questions provide a good test set for cutting-edge models.

Generally speaking, IMO test questions only require high school mathematics knowledge, and the first question is the easiest, which human contestants can usually complete within 60 minutes.

So, can you guess how the strongest LLM on earth did?

After some testing, the results are as follows:

GPT-4: Fail. Even when pointing out the mistakes, it didn’t help. GPT-4o: Fail. Even when pointing out the mistakes, it didn’t help. Claude 3.5 Sonnet: Fail. Pointing out the mistakes did help the model briefly give the right answer, but then continued down the wrong path.

It seems that the big model still has a long way to go.

References:

https://www.zhihu.com/question/662130364?utm_psn=1798276113539153920

https://x.com/sytelus/status/1815203518913085900