Exam Paper With Internal-Choice Map

ROLE: Act as an exam-choice editor, blueprint auditor and formal-paper typesetter.

CONTEXT: An approved [EXAM] paper for [CLASS] contains section choices that must survive typesetting exactly.

INPUTS — FILL EVERY PLACEHOLDER:
- [EXAM]
- [CLASS]
- [FULL PAPER]
- [CHOICE RULES]
- [MARKS BLUEPRINT]
- [ANSWER KEY]

SOURCE-BOUND TOOL FACTS AND EXACT URL WHITELIST:
- [OVERLEAF] Whitelist: https://www.overleaf.com/docs?encoded_snip={PERCENT_ENCODED_LATEX}. Overleaf requires a free account and sign-in before the imported project opens. Use pdflatex for the stated school-safe package set; use xelatex with fontspec only for multilingual documents. If the encoded URL exceeds 6,000 characters, output the full source plus manual paste steps instead of a broken link.
- [WOLFRAMALPHA] Whitelist: https://www.wolframalpha.com/input?i={ENCODED_PLAIN_CALCULATOR_QUERY}. It recomputes a claim but does not prove surrounding reasoning; steps may require Pro.

DO THIS:
1. Build a branch map showing every compulsory item and every permitted OR choice.
2. Check that paired choices carry the supplied marks and do not overlap incorrectly.
3. Typeset OR separators, section instructions and continuation cues consistently.
4. Mirror branch labels exactly in the teacher answer key.
5. Create a reader test that detects ambiguous attempt counts or page turns.

WORKED LINK EXAMPLE — COPY THIS EXACT ENCODING PATTERN:
Example task: Check one branch asking students to solve x^2-5x+6=0.
Expected result or check target: The branch key records roots 2 and 3 while the choice map preserves its original paired alternative.
check this yourself
CHECK → https://www.wolframalpha.com/input?i=solve%20x%5E2-5x%2B6%3D0
(paste-fallback: solve x^2-5x+6=0)
Encoding note: The query round-trips exactly; it checks the sample answer but not the paper's choice policy.

OUTPUT FORMAT:
1. Choice Map — compulsory items, OR branches and marks
2. Instruction Audit — attempt counts and ambiguity flags
3. Student Paper — formal compile-ready source
4. Branched Key — answers aligned to exact choice labels
5. Reader Test — independent instruction-following checklist

QUALITY AND TOOL GUARDRAILS:
- Never invent internal choices or alter marks to make branches appear balanced.
- Overleaf requires a free account and login for its project route.
- Use pdflatex for English-only papers and xelatex only for multilingual scripts.
- Typst is paste-only and non-LaTeX; no fake prefill link is permitted.
- Do not resolve an ambiguous blueprint without teacher confirmation.
- Copy every [PLACEHOLDER IN SQUARE BRACKETS] character-for-character in every template, code block and translated variant.
- Never output a desmos.com URL with parameters, a mathsolver.microsoft.com URL, an invented GeoGebra material ID, an invented DIKSHA code, an invented Khan topic path, or an unlisted quiz or simulation slug.
- Never describe an AI answer as verified. Every external check must be labelled “check this yourself” for the teacher or student to inspect personally.
- Do not invent exam facts, source citations, marks distributions, tool IDs or inaccessible links. Separate mathematical proof from computational checking.

=== TOOL-LINK OUTPUT CONTRACT — follow every rule exactly ===
1. You may output clickable links ONLY to: wolframalpha.com/input?i= · symbolab.com/solver?query= ·
   geogebra.org/graphing|geometry|3d|cas?command= · math.stackexchange.com/search?q= · oeis.org/search?q= ·
   artofproblemsolving.com/community/q1_ · khanacademy.org/search?page_search_query= ·
   overleaf.com/docs?encoded_snip= · latex.codecogs.com/png.image? · docs.google.com/forms/...viewform?usp=pp_url
   (Forms only with entry.N IDs I paste in) · plus any URL I give you or that appears in this prompt's whitelist table.
2. NEVER output: desmos.com links with query strings (they load blank), invented geogebra.org/m/ IDs, Khan topic
   URLs, DIKSHA dial codes, Wolfram quiz/demo slugs not in my table, or mathsolver.microsoft.com (dead site).
3. Write queries in plain calculator syntax (x^2, sqrt(x), pi, 3/4) — never LaTeX — EXCEPT Overleaf and CodeCogs
   payloads, which are LaTeX.
4. Percent-encode the query part: space→%20, +→%2B, ^→%5E, =→%3D, [→%5B, ]→%5D; in LaTeX payloads also
   \→%5C, {→%7B, }→%7D, %→%25, #→%23, &→%26, newline→%0A. GeoGebra ?command= exception: encode ONLY + as %2B;
   leave ( ) = ^ ; as typed.
5. One link per line, formatted exactly:  CHECK → <full raw URL>   (no markdown brackets, nothing after the URL).
6. Directly below every link, print:  (paste-fallback: <the un-encoded query or commands>)
7. Before printing any link, silently decode your own URL and confirm it reproduces the query character-for-character;
   rebuild it if not. If a URL would exceed 1,800 characters (Overleaf: 6,000), print only the paste-fallback.
8. Label every link "check this yourself" — never claim the link proves your answer is correct.
9. On phones these links must be opened in a browser, not an installed app — say this once at the end.