Add Google 2027 SWE Intern questions

[tomtoto757]

Summary

• add the public Google coding question Equal Sum Split After One Removal with its verified Sep 02, 2026 sighting date
• add the public Google coding question Minimum Tree Value After Leaf Relocations with its verified Jun 18, 2026 sighting date
• rebuild the generated indexes on the master produced by PR [FastPrep] Sync September 12 coding questions #189, preserving every existing route and semantic row
• preserve the already-current Minimum Root-to-Leaf Cut Cost row unchanged

Final semantic scope

• base: 64675de1b652225dd93149aaf7f48e763ce5a203
• head: 0e0b3c0b773f12793f7ad9eab1c19bfa3fcb3568
• 2 route additions
• 0 route updates
• 0 route removals
• all 2,509 base routes retained exactly
• 2,511 unique routes after regeneration
• company list unchanged at 297 sorted, unique entries

Generated format totals: Coding 2,036; SQL 36; System design 321; Low-level design 84; AI coding 34. The largest question-bank page is 399,909 bytes and the largest format page is 399,786 bytes, both below their limits.

Verification

• TZ=UTC python3 scripts/refresh-freshness.py
• python3 scripts/sync-practice-formats.py --sync-date 2026-09-14
• PYTHONDONTWRITEBYTECODE=1 python3 -m unittest discover -s scripts -p 'test_*.py' (19/19 passed)
• python3 scripts/sync-practice-formats.py --sync-date 2026-09-14 --check (439 managed routes, 0 unclassified; 9 inherited catalog-missing routes)
• git diff --check origin/master...HEAD
• both added FastPrep routes returned HTTP 200 without redirects
• exact semantic comparison against prior PR head 1a91168d760e1d8ee7d5fdeacf987173eb06d549 and current master

Independent regression review

An independent reviewer completed a full regression review of final head 0e0b3c0b773f12793f7ad9eab1c19bfa3fcb3568 against stable master 64675de1b652225dd93149aaf7f48e763ce5a203 and found no P0-P3 issues. The review covered the full generated diff, exact preservation of the original two-addition intent, conservation and ordering of every base route, uniqueness, pagination, format projection, company-list stability, private/protected-content boundaries, live metadata and route behavior, tests, and repository cleanliness.

Remaining risk is limited to the 9 inherited catalog-missing routes reported by the repository's existing sync check; this PR adds none of them and leaves them unchanged.