docs(omp): revamp sync-solutions command docs and usage instructions

.omp/commands/sync-solutions.md

@@ -2,64 +2,33 @@
 description: Sync work/ leetcode solutions into docs/solutions/ pages (gold standard format)
 ---
 
-Sync every leetcode solution under `work/` into a docs page under `docs/reference/`, formatted exactly like the gold standard `docs/solutions/01-reverse-string.mdx`. Extra focus (optional): $@
+Sync every leetcode solution under `work/` into a docs page under `docs/solutions/`, formatted like the gold standard `docs/solutions/344-reverse-string.mdx`. Extra focus (optional): $@
 
-## Inventory
+## Run the script
 
-1. Glob `work/**/*.js`. Each filename is `<number>.<kebab-slug>.js`; the directory path is `work/<Difficulty>/<Category>/`.
-2. Glob `docs/solutions/*.mdx`. A solution is already ported when a page's frontmatter title starts with the same leetcode number (`title: '<number>. …'`). Numeric filename prefixes (`01-`, `02-`, …) define sidebar order — never renumber existing pages.
-3. Build the todo list: one task per unported solution, plus one task per already-ported page whose `## Answer` code block no longer matches its `work/` source verbatim (update just the code block in that case).
+The port is fully scripted — do not hand-write pages:
 
-## Target path
-
-`docs/solutions/<NN>-<kebab-slug>.mdx` where `<NN>` is the next unused two-digit prefix (continue from the highest existing one, in ascending leetcode-number order for the new batch) and `<kebab-slug>` is the slug from the work filename.
-
-## Page format — copy the gold standard exactly
-
-Every work file has a header comment block containing the problem statement, examples, constraints, and any follow-up. Transform it into:
-
-````mdx
----
-title: '<number>. <Problem Name>'
-description: <first sentence of the problem statement, no trailing period>
-sidebar:
-  badge: '<Difficulty>'
----
-
-<Badge variant="accent"><Topic></Badge>
-
-::::warning
-<the follow-up or special requirement, verbatim>
-::::
-
-### Example 1:
-- Input: `<input>`
-- Output: `<output>`
-- Explanation: <explanation with array/value literals wrapped in backticks>
-
-### Constraints:
-
-- `<constraint>` (inline code; keep plain prose like "nums is sorted…" with only identifiers in backticks)
-
-## Answer
-
-```js
-<the JSDoc comment and function from the work file, byte-for-byte verbatim — do not reformat, rename, or "improve" the code>
 ```
-````
+bun run sync
+```
 
-Rules:
+`scripts/sync.ts` does the whole pipeline:
 
-- `<Topic>`: the problem's pattern category from the curriculum tables in `README.md` (e.g. "Two Pointers", "Hash-Based Lookup" → use "Hash Table", "Sliding Window", "Prefix Sum"). Fall back to the `work/` subdirectory name if the problem isn't in the README.
-- `::::warning`: only when the statement has a follow-up, in-place requirement, or similar special constraint. Omit the block entirely otherwise.
-- One `### Example N:` section per example in the header comment; include the Explanation bullet only when the source has one.
-- Exponents stay caret-style in inline code (`10^4`), matching the source comments.
-- Do NOT copy the header comment block into the page — only the JSDoc + function go in the code fence.
+- Globs `work/**/*.{js,py}` (`<number>.<kebab-slug>.{js,py}` under `work/<Difficulty>/<Category>/`) and groups the two language variants of a problem by leetcode number.
+- Parses each file's header comment (js block comment / py docstring) into title, difficulty, statement, examples, constraints, and follow-up.
+- New problems get a full page at `docs/solutions/<leetcode-number>-<kebab-slug>.mdx`: frontmatter, `<Badge>` topic (README curriculum table, falling back to the `work/` subdirectory), `::::warning` for follow-ups/special requirements, examples, constraints, and the solution code verbatim.
+- The filename prefix is the leetcode problem number — it orders the sidebar numerically and is stripped from the URL (`344-reverse-string.mdx` → `/solutions/reverse-string`). The script renames any page whose filename drifts from `<leetcode-number>-<kebab-slug>.mdx`.
+- Already-ported pages (frontmatter title starts with the leetcode number) only get their `## Solution` section regenerated — curated prose is never touched.
+- Problems solved in both languages render as a `<CodeGroup>` (Python first, then JavaScript); single-language solutions render as a plain fence.
+
+The script prints the report table: work file → docs page → created / renamed / updated / skipped (already in sync).
+
+## Review
+
+Skim any **created** pages — the prose transforms (backticking literals in example explanations, warning detection) are heuristic. Fix wording by editing the page prose directly; it won't be overwritten on the next sync. Never edit inside `## Solution` — that section is owned by the script and synced from `work/`.
 
 ## Verify
 
 1. `bunx blume build --isolated` must succeed with no new warnings; confirm each new route generated (`/solutions/<slug>`).
 2. Spot-check one new page's built HTML for the badge, callout (when present), and solution code.
 3. `rm -rf .blume-verify` when done.
-
-Report a table: work file → docs page → created / updated / skipped (already in sync).