Solving the Austrian Olympiad System (1997)
📰 Medium · Programming
Learn to solve the Austrian Olympiad System using a hidden ratio trick, improving problem-solving skills in mathematics and puzzles.
Action Steps
- Read the Austrian Olympiad System problem statement to understand the challenge
- Apply the hidden ratio trick to simplify the problem
- Use algebraic manipulations to derive a solution
- Test the solution with sample inputs to verify its correctness
- Analyze the solution to understand the underlying mathematical concepts
Who Needs to Know This
Mathematicians, programmers, and puzzle enthusiasts can benefit from this article to improve their problem-solving skills and learn new techniques.
Key Insight
💡 The hidden ratio trick can be used to simplify complex mathematical problems and derive elegant solutions.
Share This
💡 Solve the Austrian Olympiad System using a hidden ratio trick! #math #puzzles
Key Takeaways
Learn to solve the Austrian Olympiad System using a hidden ratio trick, improving problem-solving skills in mathematics and puzzles.
Full Article
Title: Solving the Austrian Olympiad System (1997)
URL Source: https://medium.com/think-art/solving-the-austrian-olympiad-system-1997-cda109177375?source=rss------programming-5
Published Time: 2026-05-26T08:10:29Z
Markdown Content:
[Sitemap](https://medium.com/sitemap/sitemap.xml)
[Open in app](https://play.google.com/store/apps/details?id=com.medium.reader&referrer=utm_source%3DmobileNavBar&source=post_page---top_nav_layout_nav-----------------------------------------)
Sign up
[Sign in](https://medium.com/m/signin?operation=login&redirect=https%3A%2F%2Fmedium.com%2Fthink-art%2Fsolving-the-austrian-olympiad-system-1997-cda109177375&source=post_page---top_nav_layout_nav-----------------------global_nav------------------)
[](https://medium.com/?source=post_page---top_nav_layout_nav-----------------------------------------)
Get app
[Write](https://medium.com/m/signin?operation=register&redirect=https%3A%2F%2Fmedium.com%2Fnew-story&source=---top_nav_layout_nav-----------------------new_post_topnav------------------)
[Search](https://medium.com/search?source=post_page---top_nav_layout_nav-----------------------------------------)
Sign up
[Sign in](https://medium.com/m/signin?operation=login&redirect=https%3A%2F%2Fmedium.com%2Fthink-art%2Fsolving-the-austrian-olympiad-system-1997-cda109177375&source=post_page---top_nav_layout_nav-----------------------global_nav------------------)

[Mastodon](https://me.dm/@thanushansiva100)
## [ThinkArt](https://medium.com/think-art?source=post_page---publication_nav-26a3f6cf145c-cda109177375---------------------------------------)
·
Follow publication
[](https://medium.com/think-art?source=post_page---post_publication_sidebar-26a3f6cf145c-cda109177375---------------------------------------)
Recognizing the beauty in mathematics and puzzles.
Follow publication
Member-only story
# Solving the Austrian Olympiad System (1997)
## A Hidden Ratio Trick
[](https://medium.com/@thanushansiva100?source=post_page---byline--cda109177375---------------------------------------)
[Thanushan Sivapatham](https://medium.com/@thanushansiva100?source=post_page---byline--cda109177375---------------------------------------)
Follow
6 min read
·
May 26, 2026
[](https://medium.com/m/signin?actionUrl=https%3A%2F%2Fmedium.com%2F_%2Fvote%2Fthink-art%2Fcda109177375&operation=register&redirect=https%3A%2F%2Fmedium.com%2Fthink-art%2Fsolving-the-austrian-olympiad-system-1997-cda109177375&user=Thanushan+Sivapatham&userId=e3172c6de373&source=---header_actions--cda109177375---------------------clap_footer------------------)
189
2
[](https://medium.com/m/signin?actionUrl=https%3A%2F%2Fmedium.com%2F_%2Frepost%2Fp%2Fcda109177375&operation=register&redirect=https%3A%2F%2Fmedium.com%2Fthink-art%2Fsolving-the-austrian-olympiad-system-1997-cda109177375&user=Thanushan+Sivapatham&userId=e3172c6de373&source=---header_actions--cda109177375---------------------repost_header------------------)
[](https://medium.com/m/signin?actionUrl=https%3A%2F%2Fmedium.com%2F_%2Fbookmark%2Fp%2Fcda109177375&operation=register&redirect=https%3A%2F%2Fmedium.com%2Fthink-art%2Fsolving-the-austrian-olympiad-system-1997-cda109177375&source=---header_actions--cda109177375---------------------bookmark_footer------------------)
[Listen](https://medium.com/m/signin?actionUrl=https%3A%2F%2Fmedium.com%2Fplans%3Fdimension%3Dpost_audio_button%26postId%3Dcda109177375&operation=register&redirect=https%3A%2F%2Fmedium.com%2Fthink-art%2Fsolving-the-austrian-olympiad-system-1997-cda109177375&source=---header_actions--cda109177375---------------------post_audio_button------------------)
Share
> **_Read it_**[**_here_**](https://thanushansiva100.medium.c
URL Source: https://medium.com/think-art/solving-the-austrian-olympiad-system-1997-cda109177375?source=rss------programming-5
Published Time: 2026-05-26T08:10:29Z
Markdown Content:
[Sitemap](https://medium.com/sitemap/sitemap.xml)
[Open in app](https://play.google.com/store/apps/details?id=com.medium.reader&referrer=utm_source%3DmobileNavBar&source=post_page---top_nav_layout_nav-----------------------------------------)
Sign up
[Sign in](https://medium.com/m/signin?operation=login&redirect=https%3A%2F%2Fmedium.com%2Fthink-art%2Fsolving-the-austrian-olympiad-system-1997-cda109177375&source=post_page---top_nav_layout_nav-----------------------global_nav------------------)
[](https://medium.com/?source=post_page---top_nav_layout_nav-----------------------------------------)
Get app
[Write](https://medium.com/m/signin?operation=register&redirect=https%3A%2F%2Fmedium.com%2Fnew-story&source=---top_nav_layout_nav-----------------------new_post_topnav------------------)
[Search](https://medium.com/search?source=post_page---top_nav_layout_nav-----------------------------------------)
Sign up
[Sign in](https://medium.com/m/signin?operation=login&redirect=https%3A%2F%2Fmedium.com%2Fthink-art%2Fsolving-the-austrian-olympiad-system-1997-cda109177375&source=post_page---top_nav_layout_nav-----------------------global_nav------------------)

[Mastodon](https://me.dm/@thanushansiva100)
## [ThinkArt](https://medium.com/think-art?source=post_page---publication_nav-26a3f6cf145c-cda109177375---------------------------------------)
·
Follow publication
[](https://medium.com/think-art?source=post_page---post_publication_sidebar-26a3f6cf145c-cda109177375---------------------------------------)
Recognizing the beauty in mathematics and puzzles.
Follow publication
Member-only story
# Solving the Austrian Olympiad System (1997)
## A Hidden Ratio Trick
[](https://medium.com/@thanushansiva100?source=post_page---byline--cda109177375---------------------------------------)
[Thanushan Sivapatham](https://medium.com/@thanushansiva100?source=post_page---byline--cda109177375---------------------------------------)
Follow
6 min read
·
May 26, 2026
[](https://medium.com/m/signin?actionUrl=https%3A%2F%2Fmedium.com%2F_%2Fvote%2Fthink-art%2Fcda109177375&operation=register&redirect=https%3A%2F%2Fmedium.com%2Fthink-art%2Fsolving-the-austrian-olympiad-system-1997-cda109177375&user=Thanushan+Sivapatham&userId=e3172c6de373&source=---header_actions--cda109177375---------------------clap_footer------------------)
189
2
[](https://medium.com/m/signin?actionUrl=https%3A%2F%2Fmedium.com%2F_%2Frepost%2Fp%2Fcda109177375&operation=register&redirect=https%3A%2F%2Fmedium.com%2Fthink-art%2Fsolving-the-austrian-olympiad-system-1997-cda109177375&user=Thanushan+Sivapatham&userId=e3172c6de373&source=---header_actions--cda109177375---------------------repost_header------------------)
[](https://medium.com/m/signin?actionUrl=https%3A%2F%2Fmedium.com%2F_%2Fbookmark%2Fp%2Fcda109177375&operation=register&redirect=https%3A%2F%2Fmedium.com%2Fthink-art%2Fsolving-the-austrian-olympiad-system-1997-cda109177375&source=---header_actions--cda109177375---------------------bookmark_footer------------------)
[Listen](https://medium.com/m/signin?actionUrl=https%3A%2F%2Fmedium.com%2Fplans%3Fdimension%3Dpost_audio_button%26postId%3Dcda109177375&operation=register&redirect=https%3A%2F%2Fmedium.com%2Fthink-art%2Fsolving-the-austrian-olympiad-system-1997-cda109177375&source=---header_actions--cda109177375---------------------post_audio_button------------------)
Share
> **_Read it_**[**_here_**](https://thanushansiva100.medium.c
DeepCamp AI