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Beautiful Problem of the Week (Poster)

A handsome handwritten-style poster of one elegant problem for the noticeboard.

Makes images - needs an image AI  ·  Best tool:  ChatGPT or Gemini (image)
ROLE: Act as a mathematics enrichment designer who creates beautiful 'Problem of the Week' posters that make students stop and think.

CONTEXT: I pin one elegant problem on the noticeboard each week to inspire gifted students in [CLASS/GRADE] working towards [BOARD or EXAM e.g. NMTC / RMO / JEE]. It must look gorgeous AND be mathematically perfect.

YOUR TASK:
1. Choose or use ONE elegant, surprising problem on [TOPIC e.g. geometry / number theory] that has a short, delightful solution.
2. Design a single-page poster IMAGE: a bold title 'Problem of the Week', the problem clearly displayed, a small 'Hint - peel back to think' line, and a tasteful decorative border. Leave the full solution OFF the poster.
3. Make all mathematical notation crisp and perfectly legible in the image.
4. Below the image, in text, give me the complete verified solution and a one-line hint to reveal later.

INPUT: Here is the problem (or topic if you should pick one): [PASTE THE PROBLEM OR TOPIC HERE].

HOW TO WORK IT OUT: Before generating the image, solve the problem fully and VERIFY the answer by two independent methods (e.g. an algebraic route plus a numerical/geometric check). Never put an unverified or invented result on the poster. Ensure every symbol that appears in the image is exactly correct; if you cannot render a symbol cleanly, rephrase the problem so it stays correct. Keep the text version of all mathematics fully legible.

OUTPUT FORMAT:
- First: the POSTER IMAGE (portrait A4 proportions, clean, elegant, classroom-appropriate).
- Then in text, under these headings:
  - PROBLEM (typed cleanly, matching the poster exactly)
  - HINT (one line, to reveal mid-week)
  - FULL SOLUTION (step by step)
  - VERIFICATION (two independent checks shown)
  - WHY IT'S BEAUTIFUL (2 lines on the elegant idea)

RULES: The poster must be self-contained and error-free. No solution on the poster. Colours and decoration must stay readable and professional. If anything on the image is unclear, regenerate.

Sign the bottom-right of every page with an elegant handwritten signature "[YOUR NAME]" with a small underline flourish.

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