Thanks
We thank the International Organization of the Mathematical Olympiad for their support.
Thang Luong managed the general technical direction of the advanced Gemini model with deep thought of IMO and together with Edward Lockhart on the general coordination of IMO 2025 effort.
The IMO 2025 system would not be possible without the following potential customers. Dawsen Hwang, Junehyuk Jung conducted by training data and expert evaluation. Jonathan Lee, Nate Kushman, Pol Moreno, Yi Tay jointly trained the advanced Gemini Deep Think model, while the assessment of the Lei Yu model led. Golnaz Ghiazi, Garrett Bingham, Lit Jain raised deep inference, while Dawsen Hwang, Vincent Cohen-Addad raised his approach to increased inference.
Your 2025 is also supported with the keys of the Proud people. Vinay Ramasesh, Andreas Kirsch, Jieming Mao, Zicheng XU, Wilfried Bounsi, Vahab Mirrocti for inference; Hoang Nguyen, Fred Z.
Thank you to the contribution of related teams and efforts. Alfageometers team from Yuri Chervonyi (LEAD), Trieu Trinh, Hoang Nguyen, Junsu Kim, Mirek Olšák, Marcelo Menegali, Xiaomeng Yang. Miklós Z. Horváth, Aja Huang, Goran Žužić for formal mathematics. Thank you Fabian Pedregosa, Richard Song, Alex Zhai, Sara Javanmardi, Yaguang Li, Filipe Miguel de Almeida, Silvio Lattanzi, Ashkkan Norouzi Fard, Tal Schuster, Hongl Fan, Xuezhi Wang, Aditi Mavalankar, Tom Schaul, Rosemary Ke for support and Collaboration.
We especially thank other members of the main team of Think (archite Sharma, Tong He, Shubha Raghvendra), efforts after training (Tianhe Kevin Yu, Siamak Shakeri, Hanzhao Lin, Cosmo Du, Sid Lall) and the IMO 2025 area testing.
Quoc Le and Pushmeet Kohli, with the support of the Kristen Chifullo and Alex Goldin program, advised these efforts.
Kang Kang, Junsi Kim, Jeonho na, Seungwan Lee, Jihookhun Jo, YoungignSuk Hur, Seongjae, Kyuheon, Kyuhyeon Chei Park, Kyuheon Chei, Kyuhyeon Choi, Sungjae Park, Kyuhyeon, Surkyo, Choi, Sung Hyyeok, Suhy Kyuhyu Choi, Sungjae Park, Sungjae Park. Seeun Lee, Taeho Ryaho Ryah, Dain, Dain, Sanha Lee, An, Aidem Jin, Jengbem Jin, Jenghyun Ahn, Juhwi, Gengwo, Chengwi, Chengwi, Chung, Chung, Chengn, Chengn, Chengn, Chengnum, Ches. Cheather, Chengn, Cheng, Chegn, Chengn, Cheather, Cheng, Cheather Cheng, Cheather, Cheather, Cheng, Chengn, Chengarsson. Mahdavi, Azin Nazar, Xiangzhuu Ding, Chu-Lan Kao, Steven Creech, Ciptrian Manoscu.
And thanks to our experts for services and arrangements: Emanuel Taropa, Charlie Chen, Joe Stanton, Cip Baetu, Alvin Abdagic, Federico Lebron, Ioana Mihalescu, Soheil Hassas Yeganeh and Minh Gang.
Further thanks to Jessica LO and Sajjad Zafar for support for computing and management offers; Jane Labanowski, Andy Forbes, Sean Nakamoto for legal and logistic; And Omer Levy, Timothy Lilllicrap, Jack Rae, Yifeng Lu, Heng-Te Cheng, Ed Chi, Vahab Mirrocti, Tulsee Doshi, Madhavi Sewak, Melvin Johnson, Koray Kavukcuoglu, Oriol Vinyals, Jeff Dean, Demis Hassabis and Sergey Brin for their support and their support and their support and their support for their support and advice.
Finally, thank you prof. Gregor Dolinar from IMO Board for support and support.
IMO confirmed that our sent answers are complete and correct solutions. It should be noted that their review does not include the validation of our system, processes or basic model (see more).


















