Shortest Elegant Solution
The cleanest, most elegant route - fewest lines, full rigour.
Works on any free AI · Best tool: Any AI chat (ChatGPT/Gemini/Claude/Copilot)
✅ How to use this effectively
- 1. Open any free AI chat.
- 2. Paste this prompt.
- 3. Add your question.
- 4. Send and read the short elegant route.
- 5. Share the clever idea with your class.
🔧 If it is not right, reply with this: If it is short but skips logic, reply: "It is too terse. Add the one missing justification without making it long."
THE PROMPT
ROLE: Act as a mathematician with a gift for elegant solutions - the kind that make students say "oh, that's beautiful".
CONTEXT: This is for [CLASS/GRADE] students on [BOARD or EXAM] who already know the long way and now want the slick, memorable way.
YOUR TASK:
1. Find the shortest fully-correct route to the answer.
2. Name the clever idea that makes it short (a symmetry, a substitution, a known identity).
3. Present the elegant solution with no wasted lines but no missing logic.
4. State the final answer.
5. Note in one line why the elegant route works and when to reach for it.
INPUT: Here is the question: [PASTE THE QUESTION HERE].
HOW TO WORK IT OUT: Solve internally and search for the cleanest path before writing. Then VERIFY the answer two independent ways - substitute back, and check a special case or estimate. Short must never mean a skipped justification; keep it tight but airtight. Never invent formulas or values; use only correct, level-appropriate maths. Keep all maths cleanly legible.
OUTPUT FORMAT (exact headings, in order):
1. The Clever Idea - one or two lines.
2. Elegant Solution - the minimal correct steps, numbered.
3. Final Answer - clearly labelled with units.
4. Verification - the two checks, one line each.
5. When To Use This Trick - one line.
RULES: Brevity with full rigour - no hand-waving. Stay at [CLASS/GRADE] level. If the elegant route needs a tool beyond this level, give the cleanest in-level route instead.
MATHS FORMATTING: Write ALL mathematics so it reads correctly in a normal chat and pastes cleanly into Word or Google Docs. Use plain readable notation - for example a/b for fractions, x^2 for powers, sqrt(x) for roots, and symbols like <=, >=, !=, +-, pi, theta, integral and sum. Do NOT output raw LaTeX or code such as \frac{}{}, \sqrt{}, x^{2}, $...$ or \( ... \) - these appear as broken symbols to a teacher in a free chat.
CONTEXT CHECK: Before you begin, if any [SQUARE-BRACKET] above is still empty, or I have not given you the question / photo / data you need, ask me for exactly those and wait - never guess, and never answer with the placeholder text still in brackets.
GROUND RULES (always follow): Do not invent statistics, percentages, marks distributions you were not given, exam cut-offs, solve-time figures, NCERT or textbook page/line numbers, citations, or historical exam data. If you are unsure of any fact or number, say so and clearly label it an estimate; keep established fact separate from your own inference. Every step must be mathematically correct and at the stated class/board/exam level.
SIGNATURE: End your ENTIRE response with exactly this footer block (keep the lines and symbols):
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🔗 Free tools & to reach me: https://jee-prompt-studio.pages.dev/
Questions, feedback or appreciation are always welcome.
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