{"id": "c1545", "title": "C1545 — Derive the upper1550 partition response", "filename": "C1545.md", "role": "Research action", "step": 1545, "sha256": "8eefb06ef6f21a2b8a0f6846d8648339dbe2fee9353c891abccd2a86c63e21df", "bytes": 1051, "origins": ["C480–C1634/Research_Cycles/C1483_C1582/c1483_c1582/journal.json#C1545"], "download": "/sources/8eefb06ef6f21a2b8a0f6846d8648339dbe2fee9353c891abccd2a86c63e21df.md", "format": "md", "derived": true, "tags": [], "excerpt": "How much does separating1550 from the remaining upperprefix change each primary trunk?", "content": "# C1545 — Derive the upper1550 partition response\n\n## Question\n\nHow much does separating1550 from the remaining upperprefix change each primary trunk?\n\n## Sources\n\n```json\n[]\n```\n\n## Opened utc\n\n2026-09-29T02:37:40.574039+00:00\n\n## Results\n\n```json\n{\n  \"MT\": {\n    \"prefix\": 7620,\n    \"primary_upper\": 7190,\n    \"Noah_grouped_upper\": 8180,\n    \"gain\": 990\n  },\n  \"LXX\": {\n    \"prefix\": 7600,\n    \"primary_upper\": 5190,\n    \"Noah_grouped_upper\": 12210,\n    \"gain\": 7020\n  },\n  \"SP\": {\n    \"prefix\": 7130,\n    \"primary_upper\": 8680,\n    \"Noah_grouped_upper\": 8680,\n    \"gain\": 0\n  }\n}\n```\n\n## Finding\n\nThe upper gains are990 forMT,7020 forLXX and0 forSP. The lower merge contributes zero in each case.\n\n## Reassessment\n\nCombine the upper gain and shared split loss into one full-refinement law.\n\n## Checks\n\n```json\n{}\n```\n\n## Closed utc\n\n2026-09-29T02:37:40.575002+00:00\n\n## Record provenance\n\nExact record hash: `06bcd70e07de700498471a82e802872fc95602ba88d37e1585cdaa9ec45c5ed3`\n\nSource journal: `Research_Cycles/C1483_C1582/c1483_c1582/journal.json`", "journalDownload": "/sources/7241bc8dee3ba293341214bcb88dc4f80832f7d0207eb9e07f9364c06d3847c8.json"}