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FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-00804/layers_04_all/layer_01/layer_01_ground_truth.json

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FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-00841/layers_04_all/layer_03/layer_03_ground_truth.json

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FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-00841/layers_04_all/layer_03/layer_03_mask_plan.json

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FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-00851/layers_04_all/layer_02/layer_02_mask_plan.json

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FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-00851/layers_04_all/layer_04/layer_04_ground_truth.json

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+          ],
+          "severity": "SOFT_WARN"
+        },
+        {
+          "check": "cell_count_match",
+          "pass": true,
+          "detail": "no explicit total found; skipping (natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "step_count_match",
+          "pass": true,
+          "detail": "contract=2, no explicit steps found (v5 natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "sheet_name_match",
+          "pass": true,
+          "detail": "contract=['Example'], missing=[]",
+          "severity": "OK"
+        },
+        {
+          "check": "no_formula_leak",
+          "pass": true,
+          "detail": "0 formula leaks",
+          "severity": "OK"
+        },
+        {
+          "check": "no_value_leak",
+          "pass": true,
+          "detail": "0 value leaks out of 33 GT cells",
+          "severity": "OK"
+        },
+        {
+          "check": "final_target_first",
+          "pass": true,
+          "detail": "no explicit final target marker (natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "output_format",
+          "pass": true,
+          "detail": "output format found",
+          "severity": "OK"
+        },
+        {
+          "check": "header_in_prompt",
+          "pass": true,
+          "detail": "no column headers found in prompt",
+          "severity": "OK"
+        },
+        {
+          "check": "hint_specificity",
+          "pass": true,
+          "detail": "clean",
+          "severity": "OK"
+        },
+        {
+          "check": "evidence_scope",
+          "pass": true,
+          "detail": "referenced=1 mentioned=1 missing=0",
+          "severity": "OK"
+        },
+        {
+          "check": "exemplar_consistency",
+          "pass": true,
+          "severity": "OK",
+          "detail": "checked 4 col groups; CONFLICTS: Example!E5: visible='=SUM(E3:E4)' vs GT pattern='=IFERROR(C#/F#,\"#\")'"
+        },
+        {
+          "check": "nl_gt_operation_consistency",
+          "pass": false,
+          "detail": "GT funcs: ['COUNTIFS', 'IFERROR', 'INDEX', 'MATCH', 'SUM']; MISMATCHES: GT uses MATCH but NL doesn't mention any of: find, match, position; GT uses INDEX but NL doesn't mention any of: find, index, look up, lookup",
+          "severity": "SOFT_WARN"
+        },
+        {
+          "check": "unmatched_default_rule",
+          "pass": true,
+          "detail": "no default-rule phrase found in NL",
+          "severity": "OK"
+        },
+        {
+          "check": "volatile_function_freeze",
+          "pass": true,
+          "detail": "volatile_cells=0",
+          "severity": "OK"
+        },
+        {
+          "check": "direct_answer_leakage",
+          "pass": true,
+          "detail": "0 leaks out of 68 GT cells (0%)",
+          "severity": "OK"
+        }
+      ]
+    },
+    "pre_nl_local": {
+      "local_total": 58,
+      "local_label": "PENDING_NL",
+      "hard_fail_flags": [],
+      "warnings": [
+        "nl_missing"
+      ],
+      "local_subscores": {
+        "family_clean": 25,
+        "target_integrity": 15,
+        "taxonomy": 10,
+        "semantic_signal": 8,
+        "nl_schema": 0,
+        "target_alignment": 0,
+        "business_specificity": 0,
+        "nl_risk": 0
+      }
+    }
+  },
+  "verify": {
+    "uniqueness": {
+      "total_gt_cells": 68,
+      "total_non_none": 68,
+      "block_reasons": [],
+      "warnings": [
+        "mixed_gt_types:{'float': 10, 'int': 44, 'str': 14}"
+      ],
+      "checks": {
+        "rank_tie_risk": {
+          "rank_cells": 0,
+          "tie_issues": 0,
+          "details": []
+        },
+        "trivial_gt": {
+          "issues": []
+        },
+        "gt_type_consistency": {
+          "types": {
+            "float": 10,
+            "int": 44,
+            "str": 14
+          },
+          "mixed": true
+        },
+        "empty_gt": {
+          "count": 0,
+          "details": []
+        }
+      }
+    },
+    "src_chain": {
+      "hard_block": false,
+      "block_reasons": [],
+      "checks": {
+        "error_cells": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "external_refs": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "volatile_funcs": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "missing_sheets": {
+          "pass": true,
+          "count": 0,
+          "sheets": []
+        },
+        "circular_refs": {
+          "pass": true,
+          "cycle_cells": []
+        }
+      },
+      "required_chain_scope": {
+        "external_ref_in_required_chain": 0,
+        "external_ref_in_other": 0,
+        "error_cells_in_required_chain": 0,
+        "error_cells_in_other": 0,
+        "required_chain_cells": 68
+      }
+    },
+    "solver_visibility": {
+      "contract_cells": 68,
+      "total_masked": 68,
+      "total_visible": 1307,
+      "depth": 3,
+      "block_reasons": [],
+      "warnings": [],
+      "checks": {
+        "broken_chains": {
+          "count": 0,
+          "checked": 68,
+          "details": []
+        },
+        "orphan_masks": {
+          "count": 0,
+          "details": []
+        },
+        "self_contained": {
+          "missing_sheets": []
+        }
+      }
+    },
+    "exemplar": {
+      "soft_block": true,
+      "block_reasons": [
+        "zero_exemplar:1_patterns"
+      ],
+      "checks": {
+        "pattern_coverage": {
+          "pass": false,
+          "total_gt_patterns": 3,
+          "total_src_patterns": 3,
+          "zero_exemplar_count": 1,
+          "low_exemplar_count": 1
+        },
+        "zero_exemplar_patterns": {
+          "pass": false,
+          "patterns": [
+            {
+              "pattern": "=IFERROR(COUNTIFS(RANGE,\">=\"&REF,RANGE,\"<=\"&REF,RANGE,\">=\"&R",
+              "total_in_src": 2,
+              "sample_formula": "=IFERROR(COUNTIFS(Data!$A$3:$A$106,\">=\"&$B$3,Data!$A$3:$A$106,\"<=\"&$B$4,Data!$B$"
+            }
+          ]
+        },
+        "low_exemplar_patterns": {
+          "pass": false,
+          "patterns": [
+            {
+              "pattern": "=SUM(RANGE)",
+              "total_in_src": 34,
+              "sample_formula": "=SUM(E3:E4)"
+            }
+          ]
+        },
+        "func_coverage": {
+          "IFERROR": {
+            "total_masked": 35,
+            "visible_exemplars": 33
+          },
+          "SUM": {
+            "total_masked": 33,
+            "visible_exemplars": 1
+          }
+        }
+      }
+    },
+    "shortcut": {
+      "shortcut_risk": 0.0,
+      "flags": []
+    },
+    "release_audit": {
+      "surface_single_sheet": true,
+      "surface_sheets": [
+        "Example"
+      ],
+      "cross_sheet_actual": true,
+      "cross_sheet_ref_count": 1256,
+      "referenced_sheets": [
+        "Data"
+      ],
+      "target_shape": "template_column_fill",
+      "layer_sizes": [
+        33,
+        34,
+        1
+      ],
+      "mask_last_total_cells": 68,
+      "layer_growth_ratios": [
+        1.0303,
+        0.0294
+      ],
+      "pattern_dominance_ratio": 0.4853,
+      "visible_clone_regions": 0,
+      "nearby_visible_clone_regions": 0,
+      "nearby_visible_clone_rows": 0,
+      "nearby_visible_clone_ratio": 0.0,
+      "promptability_score": 0.92,
+      "release_reasons": [
+        "cross_sheet_metadata_mismatch"
+      ],
+      "release_verdict": "KEEP_WITH_FIXES"
+    }
+  },
+  "difficulty": {
+    "task_id": "cross_sheet__dag_c2bab03fc9f0",
+    "difficulty_score": 81.9,
+    "difficulty": "hard",
+    "depth": 3,
+    "total_masked": 68,
+    "is_cross_sheet": true,
+    "unique_patterns": 4,
+    "avg_complexity": 34.0,
+    "cross_refs": 46,
+    "visible_exemplar_ratio": 0.132,
+    "score_breakdown": {
+      "depth": 14,
+      "cross_sheet": 10,
+      "cell_count": 12.2,
+      "patterns": 12,
+      "complexity": 15,
+      "cross_refs": 10,
+      "vis_penalty": 8.7
+    }
+  }
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01430/ground_truth_full.json

@@ -0,0 +1,614 @@
+[
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+    "formula": "=IFERROR(C18/F18,\"0\")",
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+    "formula": "=IFERROR(C19/F19,\"0\")",
+    "cached_value": 0,
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+    "formula": "=IFERROR(C22/F22,\"0\")",
+    "cached_value": 0,
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FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01430/ground_truth_target.json

@@ -0,0 +1,266 @@
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FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01430/layers.json

@@ -0,0 +1,182 @@
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+          "row_count": 1,
+          "pattern_id": "pf_0004",
+          "normalized_pattern": "=IFERROR(COUNTIFS(DATA![$A,$3]:[$A,$106],\">=\"&[$B,$3],DATA![$A,$3]:[$A,$106],\"<=\"&[$B,$4],DATA![$B,$3]:[$B,$106],\">=\"&[$B,$5],DATA![$B,$3]:[$B,$106],\"<=\"&[$B,$6],INDEX(DATA![$A,$3]:[$K,$106],0,MATCH([$A,$7],DATA![$A,$2]:[$K,$2],0)),[$I,$7],INDEX(DATA![$A,$3]:[$K,$106],0,MATCH([$A,$8],DATA![$A,$2]:[$K,$2],0)),[$I,$8],INDEX(DATA![$A,$3]:[$K,$106],0,MATCH([$A,$9],DATA![$A,$2]:[$K,$2],0)),[$I,$9],INDEX(DATA![$A,$3]:[$K,$106],0,MATCH([$A,$10],DATA![$A,$2]:[$K,$2],0)),[$I,$10],INDEX(DATA![$A,$3]:[$K,$106],0,MATCH([$A,$11],DATA![$A,$2]:[$K,$2],0)),[$I,$11],INDEX(DATA![$A,$3]:[$K,$106],0,MATCH([$A,$12],DATA![$A,$2]:[$K,$2],0)),[$I,$12],INDEX(DATA![$A,$3]:[$K,$106],0,MATCH([$A,$13],DATA![$A,$2]:[$K,$2],0)),[$I,$13],INDEX(DATA![$A,$3]:[$K,$106],0,MATCH([$A,$14],DATA![$A,$2]:[$K,$2],0)),[$I,$14],INDEX(DATA![$A,$3]:[$K,$106],0,MATCH([$A,$17],DATA![$A,$2]:[$K,$2],0)),[$A,R],DATA![$K,$3]:[$K,$106],[$B,$16]),\"\")",
+          "sample_formula": "=IFERROR(COUNTIFS(Data!$A$3:$A$106,\">=\"&$B$3,Data!$A$3:$A$106,\"<=\"&$B$4,Data!$B$3:$B$106,\">=\"&$B$5,Data!$B$3:$B$106,\"<=\"&$B$6,INDEX(Data!$A$3:$K$106,0,MATCH($A$7,Data!$A$2:$K$2,0)),$I$7,INDEX(Data!$A$3:$K$106,0,MATCH($A$8,Data!$A$2:$K$2,0)),$I$8,INDEX(Data!$A$3:$K$106,0,MATCH($A$9,Data!$A$2:$K$2,0)),$I$9,INDEX(Data!$A$3:$K$106,0,MATCH($A$10,Data!$A$2:$K$2,0)),$I$10,INDEX(Data!$A$3:$K$106,0,MATCH($A$11,Data!$A$2:$K$2,0)),$I$11,INDEX(Data!$A$3:$K$106,0,MATCH($A$12,Data!$A$2:$K$2,0)),$I$12,INDEX(Data!$A$3:$K$106,0,MATCH($A$13,Data!$A$2:$K$2,0)),$I$13,INDEX(Data!$A$3:$K$106,0,MATCH($A$14,Data!$A$2:$K$2,0)),$I$14,INDEX(Data!$A$3:$K$106,0,MATCH($A$17,Data!$A$2:$K$2,0)),$A18,Data!$K$3:$K$106,$B$16),\"\")"
+        }
+      ],
+      "new_eval_cells": 1,
+      "total_masked_cells": 68
+    }
+  ],
+  "sink": {
+    "region_id": "rg_00008",
+    "sheet": "Example",
+    "col": "E",
+    "pattern_id": "pf_0001",
+    "row_count": 2,
+    "family_size": 33
+  }
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01430/nl_task.json

@@ -0,0 +1,26 @@
+{
+  "task_id": "cross_sheet__dag_c2bab03fc9f0",
+  "prompt_en": "The \"Example\" sheet is an education records view tied to the workbook's DATA fields such as Date, Time, States, Cities, Languages, Headers, Values, Criteria, Original#, Start date, and Green. In this academic records update, the blank entries that need attention are in the \"Red%\" column on the Example sheet: E18:E19, E21:E22, E24:E26, E28:E30, E32:E34, E36:E39, E41:E48, and E50:E57. Some supporting blank areas in the workbook feed into these Red% entries, so those related fields need to be in place before the Red% column can be completed confidently. Please fill in the missing Red% entries and save the completed file as an .xlsx workbook.",
+  "prompt_cn": "“Example”工作表是一个教育记录视图，对应工作簿中的 DATA 字段，例如 Date、Time、States、Cities、Languages、Headers、Values、Criteria、Original#、Start date 和 Green。在这份学籍记录更新中，需要补全的是 Example 工作表里“Red%”列的空白项：E18:E19、E21:E22、E24:E26、E28:E30、E32:E34、E36:E39、E41:E48 和 E50:E57。工作簿中还有一些相关的空白区域会影响这些 Red% 项，因此这些相关字段需要先整理到位，Red% 列才能完整填写。请补全缺失的 Red% 项，并将完成后的文件保存为 .xlsx 工作簿。",
+  "quality_notes": "The prompt identifies the workbook context, sheet, target column, and exact ranges while avoiding formulas, calculation language, and operational hints. It mentions the cross-sheet dependency only in a natural, high-level way.",
+  "post_check_issues": [],
+  "prompt_mode": "minimal",
+  "hint_leakage": {
+    "score": 25,
+    "level": "medium",
+    "max_possible": 100,
+    "dimensions": {
+      "operation_words": 0,
+      "cell_range_density": 25,
+      "step_by_step": 0,
+      "column_operation_mapping": 0,
+      "formula_pattern_hints": 0
+    },
+    "operation_words_found": [],
+    "cell_ranges_found": 8
+  },
+  "version": "v7",
+  "model": "gpt-5.5",
+  "elapsed": 48.2,
+  "attempt": 2
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01430/release_qc.json

@@ -0,0 +1,58 @@
+{
+  "binary": true,
+  "binary_reason": "Well-designed overall: the mask is clean, cells are real, GT formulas are consistent, and the dependency chain is reconstructible from visible workbook structure despite being hard.",
+  "D1": {
+    "score": 5,
+    "reason": "All 68 contract cells are truly masked, there are no phantom cells beyond the Example sheet range, no extra masking outside the contract, and no contract cells left unmasked. Visible D-column percentage formulas and headers provide structural clues but do not make the whole task trivially copyable because F totals and the TX Green/Red prerequisites still require dependency reconstruction."
+  },
+  "D2": {
+    "score": 5,
+    "reason": "The layer-1 GT formulas consistently compute Red% as IFERROR(Red/Total,\"0\") using C/F row references, matching the surrounding Green% pattern and cached values. The prerequisite formulas in src.xlsx are deterministic COUNTIFS/SUM constructions with no apparent ambiguity or volatility."
+  },
+  "D3": {
+    "score": 4,
+    "reason": "The NL clearly identifies the Red% target ranges to fill and mentions that supporting blank areas feed those entries. It is somewhat generic and does not explicitly enumerate the supporting B/C/F cells or formulas, but it is understandable and aligned with the workbook task."
+  },
+  "D4": {
+    "score": 4,
+    "reason": "Using only mask_last.xlsx and the NL, the solver can see headers Green, Red, Green%, Red%, and Total; visible Green% formulas in column D establish the percentage structure; visible Green/Red values plus the Total header support F as Green+Red; and the Data sheet/criteria layout plus notes about the TX example provide enough root evidence to reconstruct the missing TX Green/Red counts. The main gap is that the exact COUNTIFS pattern for B18/C18 is not directly visible, so it requires substantial inference from the workbook layout rather than simple copying.",
+    "d4_type": "ok"
+  },
+  "D5": {
+    "score": 5,
+    "reason": "The source workbook appears sound: formulas reference valid ranges, no broken or circular references are indicated, headers and criteria fields are meaningful for the intended cross-sheet counting task, and cached values are consistent with the formulas shown."
+  },
+  "D6": {
+    "score": 4,
+    "reason": "The NL sounds mostly like a realistic workplace request about updating an education records view, though it is slightly verbose and generic in its references to workbook fields."
+  },
+  "total": 27,
+  "verdict": "RELEASE",
+  "verdict_reason": "High-quality hard chain-masked task with clean masking, valid GT, and sufficient visible evidence. Minor prompt vagueness does not undermine solvability.",
+  "frontier_hardness": {
+    "score": 3,
+    "reason": "A frontier model would need to reason through a masked dependency chain, infer Total and Red% formulas, and reconstruct the cross-sheet TX count logic from visible criteria and Data fields. However most rows expose strong structural clues, and the main formulas are regular, so a strong model with spreadsheet reasoning might succeed.",
+    "fail_reason": "cross_sheet_multi_hop",
+    "is_valid_hardness": true
+  },
+  "_prompt_chars": 47066,
+  "_timing_load_workbooks": 0.27,
+  "_timing_context": 0.01,
+  "_timing_api": 46.36,
+  "local_difficulty": {
+    "difficulty_score": 81.9,
+    "difficulty": "hard",
+    "depth": 3,
+    "total_masked": 68,
+    "is_cross_sheet": true,
+    "unique_patterns": 4,
+    "avg_complexity": 34,
+    "cross_refs": 46,
+    "visible_exemplar_ratio": 0.132
+  },
+  "task_id": "cross_sheet__dag_c2bab03fc9f0",
+  "elapsed": 46.6,
+  "publish_decision": "YES",
+  "release_tier": "GOLD",
+  "hard_block_reasons": []
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01430/target_contract.json

@@ -0,0 +1,145 @@
+{
+  "task_id": "cross_sheet__dag_c2bab03fc9f0",
+  "category": "cross_sheet",
+  "depth": 3,
+  "final_target": {
+    "regions": [
+      {
+        "sheet": "Example",
+        "column": "E",
+        "column_header": "Red%",
+        "cell_range": "E18:E19, E21:E22, E24:E26, E28:E30, E32:E34, E36:E39, E41:E48, E50:E57",
+        "cell_count": 33,
+        "rows": [
+          18,
+          19,
+          21,
+          22,
+          24,
+          25,
+          26,
+          28,
+          29,
+          30,
+          32,
+          33,
+          34,
+          36,
+          37,
+          38,
+          39,
+          41,
+          42,
+          43,
+          44,
+          45,
+          46,
+          47,
+          48,
+          50,
+          51,
+          52,
+          53,
+          54,
+          55,
+          56,
+          57
+        ],
+        "first_row_label": "TX",
+        "last_row_label": "None"
+      }
+    ],
+    "cell_count": 33,
+    "formula_families": [
+      "conditional"
+    ]
+  },
+  "prerequisite_steps": [
+    {
+      "layer": 3,
+      "regions": [
+        {
+          "sheet": "Example",
+          "column": "B",
+          "column_header": "Green",
+          "cell_range": "B18",
+          "cell_count": 1,
+          "rows": [
+            18
+          ],
+          "first_row_label": "TX",
+          "last_row_label": ""
+        }
+      ],
+      "cell_count": 1
+    },
+    {
+      "layer": 2,
+      "regions": [
+        {
+          "sheet": "Example",
+          "column": "C",
+          "column_header": "Red",
+          "cell_range": "C18",
+          "cell_count": 1,
+          "rows": [
+            18
+          ],
+          "first_row_label": "TX",
+          "last_row_label": ""
+        },
+        {
+          "sheet": "Example",
+          "column": "F",
+          "column_header": "Total",
+          "cell_range": "F18:F19, F21:F22, F24:F26, F28:F30, F32:F34, F36:F39, F41:F48, F50:F57",
+          "cell_count": 33,
+          "rows": [
+            18,
+            19,
+            21,
+            22,
+            24,
+            25,
+            26,
+            28,
+            29,
+            30,
+            32,
+            33,
+            34,
+            36,
+            37,
+            38,
+            39,
+            41,
+            42,
+            43,
+            44,
+            45,
+            46,
+            47,
+            48,
+            50,
+            51,
+            52,
+            53,
+            54,
+            55,
+            56,
+            57
+          ],
+          "first_row_label": "TX",
+          "last_row_label": "None"
+        }
+      ],
+      "cell_count": 34
+    }
+  ],
+  "total_prerequisite_cells": 35,
+  "total_masked_cells": 68,
+  "ratio_total_vs_final": 2.1,
+  "sheets_involved": [
+    "Example"
+  ]
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01430/task_meta.json

@@ -0,0 +1,46 @@
+{
+  "fcb_id": "FCB-01430",
+  "task_id": "cross_sheet__dag_c2bab03fc9f0",
+  "tier": "T2_HARD",
+  "category": "cross_sheet",
+  "depth": 3,
+  "total_masked": 68,
+  "is_cross_sheet": true,
+  "prompt_en": "The \"Example\" sheet is an education records view tied to the workbook's DATA fields such as Date, Time, States, Cities, Languages, Headers, Values, Criteria, Original#, Start date, and Green. In this academic records update, the blank entries that need attention are in the \"Red%\" column on the Example sheet: E18:E19, E21:E22, E24:E26, E28:E30, E32:E34, E36:E39, E41:E48, and E50:E57. Some supporting blank areas in the workbook feed into these Red% entries, so those related fields need to be in place before the Red% column can be completed confidently. Please fill in the missing Red% entries and save the completed file as an .xlsx workbook.",
+  "prompt_cn": "“Example”工作表是一个教育记录视图，对应工作簿中的 DATA 字段，例如 Date、Time、States、Cities、Languages、Headers、Values、Criteria、Original#、Start date 和 Green。在这份学籍记录更新中，需要补全的是 Example 工作表里“Red%”列的空白项：E18:E19、E21:E22、E24:E26、E28:E30、E32:E34、E36:E39、E41:E48 和 E50:E57。工作簿中还有一些相关的空白区域会影响这些 Red% 项，因此这些相关字段需要先整理到位，Red% 列才能完整填写。请补全缺失的 Red% 项，并将完成后的文件保存为 .xlsx 工作簿。",
+  "qc": {
+    "total": 27,
+    "verdict": "RELEASE",
+    "D1": 5,
+    "D2": 5,
+    "D3": 4,
+    "D4": 4,
+    "D5": 5,
+    "D6": 4,
+    "frontier_hardness": 3,
+    "local_difficulty": 81.9
+  },
+  "source_file_id": "843439d1695278376-help-with-formula-for-countiifs-index-match-multiple-criteria-same-column-countif_index_match-hd_2",
+  "inferred_domain": "education",
+  "domain_confidence": 0.25,
+  "sheet_profiles": [
+    {
+      "name": "Data",
+      "used_range": "A1:U253",
+      "row_count": 253,
+      "col_count": 21,
+      "has_header": false,
+      "title_hint": "Data",
+      "header_info": null
+    },
+    {
+      "name": "Example",
+      "used_range": "A1:X57",
+      "row_count": 57,
+      "col_count": 24,
+      "has_header": false,
+      "title_hint": "Example",
+      "header_info": null
+    }
+  ]
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01456/audit.json

@@ -0,0 +1,432 @@
+{
+  "gate": {
+    "pre_nl_gate": {
+      "gate_label": "GATE_PASS",
+      "gate_pass": true,
+      "hard_fails": 0,
+      "warns": 0,
+      "checks": [
+        {
+          "check": "final_target_gate",
+          "pass": true,
+          "detail": "final_target has 9 cells"
+        },
+        {
+          "check": "header_grounding",
+          "pass": true,
+          "severity": "pass",
+          "detail": "1/1 final regions have column_header"
+        },
+        {
+          "check": "mask_consistency",
+          "pass": true,
+          "detail": "mask_last=26834B, src=39719B"
+        },
+        {
+          "check": "dirty_family",
+          "pass": true,
+          "detail": "0 dirty cells"
+        },
+        {
+          "check": "ratio_gate",
+          "pass": true,
+          "detail": "ratio=1.7 (total=15, final=9)"
+        },
+        {
+          "check": "dedup_gate",
+          "pass": true,
+          "detail": "0 duplicate cells across layers"
+        },
+        {
+          "check": "gt_uniqueness",
+          "pass": true,
+          "detail": "6 unique values across 15 cells"
+        },
+        {
+          "check": "tail_artifact",
+          "pass": true,
+          "detail": "0 bad values"
+        },
+        {
+          "check": "unrecoverable_leaf",
+          "pass": true,
+          "detail": "hidden_const=2 hidden:[L2:CPI-based on Jun14!R26[5124], L2:CPI-based on Jun14!R34[5831]]",
+          "hidden_const_cells": [
+            "L2:CPI-based on Jun14!R26[5124]",
+            "L2:CPI-based on Jun14!R34[5831]"
+          ]
+        },
+        {
+          "check": "adjacent_column_leak",
+          "pass": true,
+          "detail": "clean"
+        },
+        {
+          "check": "header_name_accuracy",
+          "pass": true,
+          "detail": "clean"
+        },
+        {
+          "check": "duplicate_lookup_tie_break",
+          "pass": true,
+          "detail": "no lookup formulas"
+        },
+        {
+          "check": "src_chain_integrity",
+          "pass": true,
+          "severity": "ok",
+          "detail": "clean",
+          "sub_checks": {
+            "error_cells": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "external_refs": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "volatile_funcs": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "missing_sheets": {
+              "pass": true,
+              "count": 0,
+              "sheets": []
+            },
+            "circular_refs": {
+              "pass": true,
+              "cycle_cells": []
+            }
+          }
+        },
+        {
+          "check": "uniqueness_deep",
+          "pass": true,
+          "severity": "ok",
+          "detail": "clean"
+        }
+      ]
+    },
+    "post_nl_validate": {
+      "validate_label": "CLEAN",
+      "validate_pass": true,
+      "hard_fails": 0,
+      "soft_warns": 0,
+      "checks": [
+        {
+          "check": "cell_range_match",
+          "pass": true,
+          "detail": "contract=5, prompt=2, missing=0",
+          "missing_ranges": [],
+          "severity": "OK"
+        },
+        {
+          "check": "cell_count_match",
+          "pass": true,
+          "detail": "no explicit total found; skipping (natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "step_count_match",
+          "pass": true,
+          "detail": "contract=2, no explicit steps found (v5 natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "sheet_name_match",
+          "pass": true,
+          "detail": "contract=['CPI-based on Jun14'], missing=[]",
+          "severity": "OK"
+        },
+        {
+          "check": "no_formula_leak",
+          "pass": true,
+          "detail": "0 formula leaks",
+          "severity": "OK"
+        },
+        {
+          "check": "no_value_leak",
+          "pass": true,
+          "detail": "0 value leaks out of 9 GT cells",
+          "severity": "OK"
+        },
+        {
+          "check": "final_target_first",
+          "pass": true,
+          "detail": "no explicit final target marker (natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "output_format",
+          "pass": true,
+          "detail": "output format found",
+          "severity": "OK"
+        },
+        {
+          "check": "header_in_prompt",
+          "pass": true,
+          "detail": "no column headers found in prompt",
+          "severity": "OK"
+        },
+        {
+          "check": "hint_specificity",
+          "pass": true,
+          "detail": "clean",
+          "severity": "OK"
+        },
+        {
+          "check": "evidence_scope",
+          "pass": true,
+          "detail": "no cross-sheet refs in GT",
+          "severity": "OK"
+        },
+        {
+          "check": "exemplar_consistency",
+          "pass": true,
+          "severity": "OK",
+          "detail": "checked 1 col groups"
+        },
+        {
+          "check": "nl_gt_operation_consistency",
+          "pass": true,
+          "detail": "GT funcs: []",
+          "severity": "OK"
+        },
+        {
+          "check": "unmatched_default_rule",
+          "pass": true,
+          "detail": "no default-rule phrase found in NL",
+          "severity": "OK"
+        },
+        {
+          "check": "volatile_function_freeze",
+          "pass": true,
+          "detail": "volatile_cells=0",
+          "severity": "OK"
+        },
+        {
+          "check": "direct_answer_leakage",
+          "pass": true,
+          "detail": "0 leaks out of 15 GT cells (0%)",
+          "severity": "OK"
+        }
+      ]
+    },
+    "pre_nl_local": {
+      "local_total": 55,
+      "local_label": "PENDING_NL",
+      "hard_fail_flags": [],
+      "warnings": [
+        "nl_missing"
+      ],
+      "local_subscores": {
+        "family_clean": 25,
+        "target_integrity": 15,
+        "taxonomy": 10,
+        "semantic_signal": 5,
+        "nl_schema": 0,
+        "target_alignment": 0,
+        "business_specificity": 0,
+        "nl_risk": 0
+      }
+    }
+  },
+  "verify": {
+    "uniqueness": {
+      "total_gt_cells": 15,
+      "total_non_none": 15,
+      "block_reasons": [],
+      "warnings": [
+        "mixed_gt_types:{'float': 7, 'int': 8}"
+      ],
+      "checks": {
+        "rank_tie_risk": {
+          "rank_cells": 0,
+          "tie_issues": 0,
+          "details": []
+        },
+        "trivial_gt": {
+          "issues": []
+        },
+        "gt_type_consistency": {
+          "types": {
+            "float": 7,
+            "int": 8
+          },
+          "mixed": true
+        },
+        "empty_gt": {
+          "count": 0,
+          "details": []
+        }
+      }
+    },
+    "src_chain": {
+      "hard_block": false,
+      "block_reasons": [],
+      "checks": {
+        "error_cells": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "external_refs": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "volatile_funcs": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "missing_sheets": {
+          "pass": true,
+          "count": 0,
+          "sheets": []
+        },
+        "circular_refs": {
+          "pass": true,
+          "cycle_cells": []
+        }
+      },
+      "required_chain_scope": {
+        "external_ref_in_required_chain": 0,
+        "external_ref_in_other": 0,
+        "error_cells_in_required_chain": 0,
+        "error_cells_in_other": 0,
+        "required_chain_cells": 15
+      }
+    },
+    "solver_visibility": {
+      "contract_cells": 15,
+      "total_masked": 15,
+      "total_visible": 1832,
+      "depth": 3,
+      "block_reasons": [],
+      "warnings": [],
+      "checks": {
+        "broken_chains": {
+          "count": 0,
+          "checked": 15,
+          "details": []
+        },
+        "orphan_masks": {
+          "count": 0,
+          "details": []
+        },
+        "self_contained": {
+          "missing_sheets": []
+        }
+      }
+    },
+    "exemplar": {
+      "soft_block": true,
+      "block_reasons": [
+        "zero_exemplar:2_patterns"
+      ],
+      "checks": {
+        "pattern_coverage": {
+          "pass": false,
+          "total_gt_patterns": 3,
+          "total_src_patterns": 29,
+          "zero_exemplar_count": 2,
+          "low_exemplar_count": 0
+        },
+        "zero_exemplar_patterns": {
+          "pass": false,
+          "patterns": [
+            {
+              "pattern": "=REF+(0.25*(5124/5074-1))",
+              "total_in_src": 1,
+              "sample_formula": "=R$25+(0.25*(5124/5074-1))"
+            },
+            {
+              "pattern": "=REF+(0.25*(5831/5831-1))",
+              "total_in_src": 1,
+              "sample_formula": "=R$33+(0.25*(5831/5831-1))"
+            }
+          ]
+        },
+        "low_exemplar_patterns": {
+          "pass": true,
+          "patterns": []
+        },
+        "func_coverage": {
+          "reference": {
+            "total_masked": 0,
+            "visible_exemplars": 0
+          },
+          "arithmetic": {
+            "total_masked": 15,
+            "visible_exemplars": 996
+          }
+        }
+      }
+    },
+    "shortcut": {
+      "shortcut_risk": 0.2,
+      "flags": [
+        {
+          "code": "SC3",
+          "description": "Copy-from-visible: 2/15 GT cells have nearby visible formula clones",
+          "affected_cells": 2,
+          "severity": "low"
+        }
+      ]
+    },
+    "release_audit": {
+      "surface_single_sheet": true,
+      "surface_sheets": [
+        "CPI-based on Jun14"
+      ],
+      "cross_sheet_actual": false,
+      "cross_sheet_ref_count": 0,
+      "referenced_sheets": [],
+      "target_shape": "summary_block",
+      "layer_sizes": [
+        9,
+        2,
+        4
+      ],
+      "mask_last_total_cells": 15,
+      "layer_growth_ratios": [
+        0.2222,
+        2.0
+      ],
+      "pattern_dominance_ratio": 0.6,
+      "visible_clone_regions": 0,
+      "nearby_visible_clone_regions": 0,
+      "nearby_visible_clone_rows": 0,
+      "nearby_visible_clone_ratio": 0.0,
+      "promptability_score": 1.0,
+      "release_reasons": [],
+      "release_verdict": "KEEP"
+    }
+  },
+  "difficulty": {
+    "task_id": "single_sheet__dag_04c96d2238b2",
+    "difficulty_score": 41.2,
+    "difficulty": "medium",
+    "depth": 3,
+    "total_masked": 15,
+    "is_cross_sheet": false,
+    "unique_patterns": 3,
+    "avg_complexity": 5.0,
+    "cross_refs": 0,
+    "visible_exemplar_ratio": 0.71,
+    "score_breakdown": {
+      "depth": 14,
+      "cross_sheet": 0,
+      "cell_count": 7.8,
+      "patterns": 9,
+      "complexity": 7.5,
+      "cross_refs": 0,
+      "vis_penalty": 2.9
+    }
+  }
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01456/ground_truth_full.json

@@ -0,0 +1,137 @@
+[
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 27,
+    "formula": "=R26",
+    "cached_value": 1.1400635396137169,
+    "pattern_id": "pf_0010",
+    "layer": 1
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 28,
+    "formula": "=R27",
+    "cached_value": 1.1400635396137169,
+    "pattern_id": "pf_0010",
+    "layer": 1
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 35,
+    "formula": "=R34",
+    "cached_value": 1,
+    "pattern_id": "pf_0010",
+    "layer": 1
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 36,
+    "formula": "=R35",
+    "cached_value": 1,
+    "pattern_id": "pf_0010",
+    "layer": 1
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 37,
+    "formula": "=R36",
+    "cached_value": 1,
+    "pattern_id": "pf_0010",
+    "layer": 1
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 38,
+    "formula": "=R37",
+    "cached_value": 1,
+    "pattern_id": "pf_0010",
+    "layer": 1
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 39,
+    "formula": "=R38",
+    "cached_value": 1,
+    "pattern_id": "pf_0010",
+    "layer": 1
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 40,
+    "formula": "=R39",
+    "cached_value": 1,
+    "pattern_id": "pf_0010",
+    "layer": 1
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 41,
+    "formula": "=R40",
+    "cached_value": 1,
+    "pattern_id": "pf_0010",
+    "layer": 1
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 26,
+    "formula": "=R$25+(0.25*(5124/5074-1))",
+    "cached_value": 1.1400635396137169,
+    "pattern_id": "pf_0055",
+    "layer": 2
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 34,
+    "formula": "=R$33+(0.25*(5831/5831-1))",
+    "cached_value": 1,
+    "pattern_id": "pf_0090",
+    "layer": 2
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 22,
+    "formula": "=M22",
+    "cached_value": 1.0301,
+    "pattern_id": "pf_0016",
+    "layer": 3
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 23,
+    "formula": "=M23",
+    "cached_value": 1.0693,
+    "pattern_id": "pf_0016",
+    "layer": 3
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 24,
+    "formula": "=M24",
+    "cached_value": 1.0973,
+    "pattern_id": "pf_0016",
+    "layer": 3
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 25,
+    "formula": "=M25",
+    "cached_value": 1.1376,
+    "pattern_id": "pf_0016",
+    "layer": 3
+  }
+]

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01456/ground_truth_target.json

@@ -0,0 +1,74 @@
+[
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 27,
+    "formula": "=R26",
+    "cached_value": 1.1400635396137169,
+    "pattern_id": "pf_0010"
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 28,
+    "formula": "=R27",
+    "cached_value": 1.1400635396137169,
+    "pattern_id": "pf_0010"
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 35,
+    "formula": "=R34",
+    "cached_value": 1,
+    "pattern_id": "pf_0010"
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 36,
+    "formula": "=R35",
+    "cached_value": 1,
+    "pattern_id": "pf_0010"
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 37,
+    "formula": "=R36",
+    "cached_value": 1,
+    "pattern_id": "pf_0010"
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 38,
+    "formula": "=R37",
+    "cached_value": 1,
+    "pattern_id": "pf_0010"
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 39,
+    "formula": "=R38",
+    "cached_value": 1,
+    "pattern_id": "pf_0010"
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 40,
+    "formula": "=R39",
+    "cached_value": 1,
+    "pattern_id": "pf_0010"
+  },
+  {
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "row": 41,
+    "formula": "=R40",
+    "cached_value": 1,
+    "pattern_id": "pf_0010"
+  }
+]

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01456/layers.json

@@ -0,0 +1,116 @@
+{
+  "dag_id": "dag_04c96d2238b2",
+  "file_id": "00a75851-75cd-405b-9217-809b75aa6f44",
+  "category": "single_sheet",
+  "surface_category": "single_sheet",
+  "effective_category": "single_sheet",
+  "depth": 3,
+  "quality": {
+    "chain_error_cells": 0,
+    "chain_external_cells": 0,
+    "is_clean": true
+  },
+  "layers": [
+    {
+      "layer_index": 1,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00021",
+            "rg_00022"
+          ],
+          "sheet": "CPI-based on Jun14",
+          "col": "R",
+          "rows": [
+            27,
+            28,
+            35,
+            36,
+            37,
+            38,
+            39,
+            40,
+            41
+          ],
+          "row_ranges": "27-28,35-41",
+          "row_count": 9,
+          "pattern_id": "pf_0010",
+          "normalized_pattern": "=[C,R-1]",
+          "sample_formula": "=R26"
+        }
+      ],
+      "new_eval_cells": 9,
+      "total_masked_cells": 9
+    },
+    {
+      "layer_index": 2,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00077"
+          ],
+          "sheet": "CPI-based on Jun14",
+          "col": "R",
+          "rows": [
+            26
+          ],
+          "row_ranges": "26",
+          "row_count": 1,
+          "pattern_id": "pf_0055",
+          "normalized_pattern": "=[C,$25]+(0.25*(5124/5074-1))",
+          "sample_formula": "=R$25+(0.25*(5124/5074-1))"
+        },
+        {
+          "region_ids": [
+            "rg_00112"
+          ],
+          "sheet": "CPI-based on Jun14",
+          "col": "R",
+          "rows": [
+            34
+          ],
+          "row_ranges": "34",
+          "row_count": 1,
+          "pattern_id": "pf_0090",
+          "normalized_pattern": "=[C,$33]+(0.25*(5831/5831-1))",
+          "sample_formula": "=R$33+(0.25*(5831/5831-1))"
+        }
+      ],
+      "new_eval_cells": 2,
+      "total_masked_cells": 11
+    },
+    {
+      "layer_index": 3,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00035"
+          ],
+          "sheet": "CPI-based on Jun14",
+          "col": "R",
+          "rows": [
+            22,
+            23,
+            24,
+            25
+          ],
+          "row_ranges": "22-25",
+          "row_count": 4,
+          "pattern_id": "pf_0016",
+          "normalized_pattern": "=[C-5,R]",
+          "sample_formula": "=M22"
+        }
+      ],
+      "new_eval_cells": 4,
+      "total_masked_cells": 15
+    }
+  ],
+  "sink": {
+    "region_id": "rg_00021",
+    "sheet": "CPI-based on Jun14",
+    "col": "R",
+    "pattern_id": "pf_0010",
+    "row_count": 2,
+    "family_size": 9
+  }
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01456/nl_task.json

@@ -0,0 +1,26 @@
+{
+  "task_id": "single_sheet__dag_04c96d2238b2",
+  "prompt_en": "The sheet \"CPI-based on Jun14\" is part of an engineering technical data compilation for \"Revised Referendum Cap Inflation Estimates, FY 2005 - FY 2023,\" with visible CPI-related fields like \"obs,\" \"CPI,\" \"previous,\" \"diff,\" \"df-current,\" and \"df-previous.\" Please complete the blank entries in the \"n/a\" column, specifically R27:R28 and R35:R41. The surrounding CPI fields should be in place so that the entries in this column fit with the rest of the table. Please save the completed workbook as an .xlsx file.",
+  "prompt_cn": "“CPI-based on Jun14”工作表是工程技术数据汇编的一部分，主题是“Revised Referendum Cap Inflation Estimates, FY 2005 - FY 2023”，表中可以看到与 CPI 相关的字段，例如“obs”、“CPI”、“previous”、“diff”、“df-current”和“df-previous”。请补全“n/a”列中的空白项，具体位置是 R27:R28 和 R35:R41。周围的 CPI 字段需要保持完整，这样该列的内容才能与表格其余部分相吻合。请将完成后的工作簿保存为 .xlsx 文件。",
+  "quality_notes": "The prompt is minimal and business-context focused, references only visible sheet names and headers, identifies the target column and ranges, avoids formulas and operation hints, and includes a simple .xlsx saving instruction.",
+  "post_check_issues": [],
+  "prompt_mode": "minimal",
+  "hint_leakage": {
+    "score": 8,
+    "level": "low",
+    "max_possible": 100,
+    "dimensions": {
+      "operation_words": 0,
+      "cell_range_density": 8,
+      "step_by_step": 0,
+      "column_operation_mapping": 0,
+      "formula_pattern_hints": 0
+    },
+    "operation_words_found": [],
+    "cell_ranges_found": 2
+  },
+  "version": "v7",
+  "model": "gpt-5.5",
+  "elapsed": 63.8,
+  "attempt": 2
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01456/release_qc.json

@@ -0,0 +1,58 @@
+{
+  "binary": true,
+  "binary_reason": "CORRECT: The masked cells are real and cleanly bounded, GT is consistent, and the dependency chain is reconstructible from visible structure with some nontrivial inference.",
+  "D1": {
+    "score": 5,
+    "reason": "All 15 contract cells are within the actual sheet range and are truly masked; there are no extra masked cells and no contract cells left unmasked. The visible same-column formulas/values provide structural clues, but they do not make the whole task trivially copyable because the solver must still reconstruct the prerequisite chain and boundary behavior across R22:R28 and R34:R41."
+  },
+  "D2": {
+    "score": 5,
+    "reason": "The layer-1 GT formulas match the source formulas and cached values. R27 and R28 correctly carry forward R26; R35:R41 correctly carry forward the prior row from R34 onward. The formulas are deterministic and contain no volatile or ambiguous behavior."
+  },
+  "D3": {
+    "score": 4,
+    "reason": "The NL description clearly identifies the sheet and the final target ranges R27:R28 and R35:R41 in the n/a column. It is understandable, but it does not explicitly tell the solver that prerequisite blanks in the same dependency chain must also be reconstructed, so there is a small clarity gap inherent to the chained masking setup."
+  },
+  "D4": {
+    "score": 4,
+    "reason": "From mask_last.xlsx and the NL prompt, the relevant column, headers, adjacent columns, and surrounding visible rows provide enough evidence to reconstruct the chain. Visible neighboring rows such as R29:R31 and R43 provide the structural pattern for the alternative ratio calculations, while the M-column ratios and carry-forward structure provide clues for R22:R25 and the repeated values in the later block. There is some inference required for the masked prerequisite bases and the carry-forward rows, but no critical hidden constant appears necessary beyond values visible in the surrounding table.",
+    "d4_type": "ok"
+  },
+  "D5": {
+    "score": 5,
+    "reason": "The source spreadsheet appears internally sound for this task: formulas are consistent, cached values align with the formulas, there are no indicated circular references or broken dependencies, and the relevant table structure is coherent despite several generic/anonymized n/a-style headers."
+  },
+  "D6": {
+    "score": 4,
+    "reason": "The NL prompt sounds mostly like a realistic workplace request involving completion of a technical data compilation. It is slightly verbose and benchmark-like in its explicit cell-range targeting, but still natural enough."
+  },
+  "total": 27,
+  "verdict": "RELEASE",
+  "verdict_reason": "High-quality task overall: clean masking, correct GT, adequate NL, and solvable chain evidence. The only minor weakness is that the prompt names only the final target cells rather than explicitly mentioning prerequisite blanks, but that is acceptable under the chain-masking design.",
+  "frontier_hardness": {
+    "score": 3,
+    "reason": "This is a medium-difficulty task. A frontier model would need to reconstruct a depth-3 same-column dependency chain, infer base/carry-forward behavior, and use nearby formula patterns rather than simply copying a single visible exemplar. However, there are no cross-sheet dependencies and the formula diversity is limited, so a strong model would have a reasonable chance of success.",
+    "fail_reason": "deep_chain",
+    "is_valid_hardness": true
+  },
+  "_prompt_chars": 26932,
+  "_timing_load_workbooks": 0.15,
+  "_timing_context": 0.01,
+  "_timing_api": 48.8,
+  "local_difficulty": {
+    "difficulty_score": 41.2,
+    "difficulty": "medium",
+    "depth": 3,
+    "total_masked": 15,
+    "is_cross_sheet": false,
+    "unique_patterns": 3,
+    "avg_complexity": 5,
+    "cross_refs": 0,
+    "visible_exemplar_ratio": 0.71
+  },
+  "task_id": "single_sheet__dag_04c96d2238b2",
+  "elapsed": 48.9,
+  "publish_decision": "YES",
+  "release_tier": "GOLD",
+  "hard_block_reasons": []
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01456/target_contract.json

@@ -0,0 +1,79 @@
+{
+  "task_id": "single_sheet__dag_04c96d2238b2",
+  "category": "single_sheet",
+  "depth": 3,
+  "final_target": {
+    "regions": [
+      {
+        "sheet": "CPI-based on Jun14",
+        "column": "R",
+        "column_header": "n/a",
+        "cell_range": "R27:R28, R35:R41",
+        "cell_count": 9,
+        "rows": [
+          27,
+          28,
+          35,
+          36,
+          37,
+          38,
+          39,
+          40,
+          41
+        ],
+        "first_row_label": "",
+        "last_row_label": "e"
+      }
+    ],
+    "cell_count": 9,
+    "formula_families": []
+  },
+  "prerequisite_steps": [
+    {
+      "layer": 3,
+      "regions": [
+        {
+          "sheet": "CPI-based on Jun14",
+          "column": "R",
+          "column_header": "n/a",
+          "cell_range": "R22:R25",
+          "cell_count": 4,
+          "rows": [
+            22,
+            23,
+            24,
+            25
+          ],
+          "first_row_label": "",
+          "last_row_label": ""
+        }
+      ],
+      "cell_count": 4
+    },
+    {
+      "layer": 2,
+      "regions": [
+        {
+          "sheet": "CPI-based on Jun14",
+          "column": "R",
+          "column_header": "n/a",
+          "cell_range": "R26, R34",
+          "cell_count": 2,
+          "rows": [
+            26,
+            34
+          ],
+          "first_row_label": "",
+          "last_row_label": "e"
+        }
+      ],
+      "cell_count": 2
+    }
+  ],
+  "total_prerequisite_cells": 6,
+  "total_masked_cells": 15,
+  "ratio_total_vs_final": 1.7,
+  "sheets_involved": [
+    "CPI-based on Jun14"
+  ]
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01456/task_meta.json

@@ -0,0 +1,60 @@
+{
+  "fcb_id": "FCB-01456",
+  "task_id": "single_sheet__dag_04c96d2238b2",
+  "tier": "T2_HARD",
+  "category": "single_sheet",
+  "depth": 3,
+  "total_masked": 15,
+  "is_cross_sheet": false,
+  "prompt_en": "The sheet \"CPI-based on Jun14\" is part of an engineering technical data compilation for \"Revised Referendum Cap Inflation Estimates, FY 2005 - FY 2023,\" with visible CPI-related fields like \"obs,\" \"CPI,\" \"previous,\" \"diff,\" \"df-current,\" and \"df-previous.\" Please complete the blank entries in the \"n/a\" column, specifically R27:R28 and R35:R41. The surrounding CPI fields should be in place so that the entries in this column fit with the rest of the table. Please save the completed workbook as an .xlsx file.",
+  "prompt_cn": "“CPI-based on Jun14”工作表是工程技术数据汇编的一部分，主题是“Revised Referendum Cap Inflation Estimates, FY 2005 - FY 2023”，表中可以看到与 CPI 相关的字段，例如“obs”、“CPI”、“previous”、“diff”、“df-current”和“df-previous”。请补全“n/a”列中的空白项，具体位置是 R27:R28 和 R35:R41。周围的 CPI 字段需要保持完整，这样该列的内容才能与表格其余部分相吻合。请将完成后的工作簿保存为 .xlsx 文件。",
+  "qc": {
+    "total": 27,
+    "verdict": "RELEASE",
+    "D1": 5,
+    "D2": 5,
+    "D3": 4,
+    "D4": 4,
+    "D5": 5,
+    "D6": 4,
+    "frontier_hardness": 3,
+    "local_difficulty": 41.2
+  },
+  "source_file_id": "00a75851-75cd-405b-9217-809b75aa6f44",
+  "inferred_domain": "engineering",
+  "domain_confidence": 0.25,
+  "sheet_profiles": [
+    {
+      "name": "CPI-based on Jun14",
+      "used_range": "A1:R50",
+      "row_count": 50,
+      "col_count": 18,
+      "has_header": false,
+      "title_hint": "CPI based on Jun14",
+      "header_info": null
+    },
+    {
+      "name": "CPI-Jun2014",
+      "used_range": "A1:I262",
+      "row_count": 262,
+      "col_count": 9,
+      "has_header": true,
+      "title_hint": "CPI Jun2014",
+      "header_info": {
+        "sheet": "CPI-Jun2014",
+        "header_row": 1,
+        "headers": {
+          "A": "obs",
+          "B": "obs",
+          "C": "CPI",
+          "D": "previous",
+          "E": "diff",
+          "F": "df-current",
+          "G": "df-previous",
+          "H": "n/a",
+          "I": "n/a"
+        }
+      }
+    }
+  ]
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01534/audit.json

@@ -0,0 +1,454 @@
+{
+  "gate": {
+    "pre_nl_gate": {
+      "gate_label": "GATE_PASS",
+      "gate_pass": true,
+      "hard_fails": 0,
+      "warns": 0,
+      "checks": [
+        {
+          "check": "final_target_gate",
+          "pass": true,
+          "detail": "final_target has 7 cells"
+        },
+        {
+          "check": "header_grounding",
+          "pass": true,
+          "severity": "pass",
+          "detail": "1/1 final regions have column_header"
+        },
+        {
+          "check": "mask_consistency",
+          "pass": true,
+          "detail": "mask_last=6138B, src=10716B"
+        },
+        {
+          "check": "dirty_family",
+          "pass": true,
+          "detail": "0 dirty cells"
+        },
+        {
+          "check": "ratio_gate",
+          "pass": true,
+          "detail": "ratio=3.0 (total=21, final=7)"
+        },
+        {
+          "check": "dedup_gate",
+          "pass": true,
+          "detail": "0 duplicate cells across layers"
+        },
+        {
+          "check": "gt_uniqueness",
+          "pass": true,
+          "detail": "11 unique values across 21 cells"
+        },
+        {
+          "check": "tail_artifact",
+          "pass": true,
+          "detail": "0 bad values"
+        },
+        {
+          "check": "unrecoverable_leaf",
+          "pass": true,
+          "detail": "clean",
+          "hidden_const_cells": []
+        },
+        {
+          "check": "adjacent_column_leak",
+          "pass": true,
+          "detail": "clean"
+        },
+        {
+          "check": "header_name_accuracy",
+          "pass": true,
+          "detail": "clean"
+        },
+        {
+          "check": "duplicate_lookup_tie_break",
+          "pass": true,
+          "detail": "no lookup formulas"
+        },
+        {
+          "check": "src_chain_integrity",
+          "pass": true,
+          "severity": "ok",
+          "detail": "clean",
+          "sub_checks": {
+            "error_cells": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "external_refs": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "volatile_funcs": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "missing_sheets": {
+              "pass": true,
+              "count": 0,
+              "sheets": []
+            },
+            "circular_refs": {
+              "pass": true,
+              "cycle_cells": []
+            }
+          }
+        },
+        {
+          "check": "uniqueness_deep",
+          "pass": true,
+          "severity": "ok",
+          "detail": "clean"
+        }
+      ]
+    },
+    "post_nl_validate": {
+      "validate_label": "CLEAN",
+      "validate_pass": true,
+      "hard_fails": 0,
+      "soft_warns": 0,
+      "checks": [
+        {
+          "check": "cell_range_match",
+          "pass": true,
+          "detail": "contract=3, prompt=1, missing=0",
+          "missing_ranges": [],
+          "severity": "OK"
+        },
+        {
+          "check": "cell_count_match",
+          "pass": true,
+          "detail": "no explicit total found; skipping (natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "step_count_match",
+          "pass": true,
+          "detail": "contract=2, no explicit steps found (v5 natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "sheet_name_match",
+          "pass": true,
+          "detail": "contract=['Sheet1'], missing=[]",
+          "severity": "OK"
+        },
+        {
+          "check": "no_formula_leak",
+          "pass": true,
+          "detail": "0 formula leaks",
+          "severity": "OK"
+        },
+        {
+          "check": "no_value_leak",
+          "pass": true,
+          "detail": "0 value leaks out of 7 GT cells",
+          "severity": "OK"
+        },
+        {
+          "check": "final_target_first",
+          "pass": true,
+          "detail": "no explicit final target marker (natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "output_format",
+          "pass": true,
+          "detail": "output format found",
+          "severity": "OK"
+        },
+        {
+          "check": "header_in_prompt",
+          "pass": true,
+          "detail": "no column headers found in prompt",
+          "severity": "OK"
+        },
+        {
+          "check": "hint_specificity",
+          "pass": true,
+          "detail": "clean",
+          "severity": "OK"
+        },
+        {
+          "check": "evidence_scope",
+          "pass": true,
+          "detail": "no cross-sheet refs in GT",
+          "severity": "OK"
+        },
+        {
+          "check": "exemplar_consistency",
+          "pass": true,
+          "severity": "OK",
+          "detail": "checked 3 col groups"
+        },
+        {
+          "check": "nl_gt_operation_consistency",
+          "pass": true,
+          "detail": "GT funcs: ['IF', 'SUM']",
+          "severity": "OK"
+        },
+        {
+          "check": "unmatched_default_rule",
+          "pass": true,
+          "detail": "no default-rule phrase found in NL",
+          "severity": "OK"
+        },
+        {
+          "check": "volatile_function_freeze",
+          "pass": true,
+          "detail": "volatile_cells=0",
+          "severity": "OK"
+        },
+        {
+          "check": "direct_answer_leakage",
+          "pass": true,
+          "detail": "0 leaks out of 21 GT cells (0%)",
+          "severity": "OK"
+        }
+      ]
+    },
+    "pre_nl_local": {
+      "local_total": 58,
+      "local_label": "PENDING_NL",
+      "hard_fail_flags": [],
+      "warnings": [
+        "nl_missing"
+      ],
+      "local_subscores": {
+        "family_clean": 25,
+        "target_integrity": 15,
+        "taxonomy": 10,
+        "semantic_signal": 8,
+        "nl_schema": 0,
+        "target_alignment": 0,
+        "business_specificity": 0,
+        "nl_risk": 0
+      }
+    }
+  },
+  "verify": {
+    "uniqueness": {
+      "total_gt_cells": 21,
+      "total_non_none": 21,
+      "block_reasons": [],
+      "warnings": [
+        "mixed_gt_types:{'int': 7, 'float': 14}"
+      ],
+      "checks": {
+        "rank_tie_risk": {
+          "rank_cells": 0,
+          "tie_issues": 0,
+          "details": []
+        },
+        "trivial_gt": {
+          "issues": []
+        },
+        "gt_type_consistency": {
+          "types": {
+            "int": 7,
+            "float": 14
+          },
+          "mixed": true
+        },
+        "empty_gt": {
+          "count": 0,
+          "details": []
+        }
+      }
+    },
+    "src_chain": {
+      "hard_block": false,
+      "block_reasons": [],
+      "checks": {
+        "error_cells": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "external_refs": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "volatile_funcs": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "missing_sheets": {
+          "pass": true,
+          "count": 0,
+          "sheets": []
+        },
+        "circular_refs": {
+          "pass": true,
+          "cycle_cells": []
+        }
+      },
+      "required_chain_scope": {
+        "external_ref_in_required_chain": 0,
+        "external_ref_in_other": 0,
+        "error_cells_in_required_chain": 0,
+        "error_cells_in_other": 0,
+        "required_chain_cells": 21
+      }
+    },
+    "solver_visibility": {
+      "contract_cells": 21,
+      "total_masked": 21,
+      "total_visible": 39,
+      "depth": 3,
+      "block_reasons": [],
+      "warnings": [
+        "broken_chains:2/21"
+      ],
+      "checks": {
+        "broken_chains": {
+          "count": 2,
+          "checked": 21,
+          "details": [
+            {
+              "cell": "Sheet1!D5",
+              "missing_dep": "Sheet1!C5",
+              "formula": "=((C5-B5)+(C5<B5))*24"
+            },
+            {
+              "cell": "Sheet1!D4",
+              "missing_dep": "Sheet1!C4",
+              "formula": "=((C4-B4)+(C4<B4))*24"
+            }
+          ]
+        },
+        "orphan_masks": {
+          "count": 0,
+          "details": []
+        },
+        "self_contained": {
+          "missing_sheets": []
+        }
+      }
+    },
+    "exemplar": {
+      "soft_block": true,
+      "block_reasons": [
+        "zero_exemplar:3_patterns"
+      ],
+      "checks": {
+        "pattern_coverage": {
+          "pass": false,
+          "total_gt_patterns": 5,
+          "total_src_patterns": 12,
+          "zero_exemplar_count": 3,
+          "low_exemplar_count": 1
+        },
+        "zero_exemplar_patterns": {
+          "pass": false,
+          "patterns": [
+            {
+              "pattern": "=((REF-REF)+(REF<REF))*24",
+              "total_in_src": 7,
+              "sample_formula": "=((C2-B2)+(C2<B2))*24"
+            },
+            {
+              "pattern": "=IF(REF>40,REF-40,0)",
+              "total_in_src": 7,
+              "sample_formula": "=IF(E2>40,E2-40,0)"
+            },
+            {
+              "pattern": "=REF",
+              "total_in_src": 1,
+              "sample_formula": "=D2"
+            }
+          ]
+        },
+        "low_exemplar_patterns": {
+          "pass": false,
+          "patterns": [
+            {
+              "pattern": "=REF+REF",
+              "total_in_src": 6,
+              "sample_formula": "=D3+E2"
+            }
+          ]
+        },
+        "func_coverage": {
+          "SUM": {
+            "total_masked": 1,
+            "visible_exemplars": 2
+          },
+          "reference": {
+            "total_masked": 1,
+            "visible_exemplars": 0
+          },
+          "IF": {
+            "total_masked": 7,
+            "visible_exemplars": 12
+          },
+          "arithmetic": {
+            "total_masked": 12,
+            "visible_exemplars": 6
+          }
+        }
+      }
+    },
+    "shortcut": {
+      "shortcut_risk": 0.0,
+      "flags": []
+    },
+    "release_audit": {
+      "surface_single_sheet": true,
+      "surface_sheets": [
+        "Sheet1"
+      ],
+      "cross_sheet_actual": false,
+      "cross_sheet_ref_count": 0,
+      "referenced_sheets": [],
+      "target_shape": "summary_block",
+      "layer_sizes": [
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+        7,
+        7
+      ],
+      "mask_last_total_cells": 21,
+      "layer_growth_ratios": [
+        1.0,
+        1.0
+      ],
+      "pattern_dominance_ratio": 0.3333,
+      "visible_clone_regions": 0,
+      "nearby_visible_clone_regions": 0,
+      "nearby_visible_clone_rows": 0,
+      "nearby_visible_clone_ratio": 0.0,
+      "promptability_score": 1.0,
+      "release_reasons": [],
+      "release_verdict": "KEEP"
+    }
+  },
+  "difficulty": {
+    "task_id": "single_sheet__dag_36fa8cd941df",
+    "difficulty_score": 60.0,
+    "difficulty": "hard",
+    "depth": 3,
+    "total_masked": 21,
+    "is_cross_sheet": false,
+    "unique_patterns": 5,
+    "avg_complexity": 9.0,
+    "cross_refs": 0,
+    "visible_exemplar_ratio": 0.125,
+    "score_breakdown": {
+      "depth": 14,
+      "cross_sheet": 0,
+      "cell_count": 8.8,
+      "patterns": 15,
+      "complexity": 13.5,
+      "cross_refs": 0,
+      "vis_penalty": 8.8
+    }
+  }
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01534/ground_truth_full.json

@@ -0,0 +1,191 @@
+[
+  {
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+    "col": "G",
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+    "formula": "=IF(E2>40,E2-40,0)",
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+  },
+  {
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+    "formula": "=IF(E4>40,E4-40,0)",
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+  },
+  {
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+    "cached_value": 24.233333333333334,
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+    "formula": "=((C4-B4)+(C4<B4))*24",
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+  {
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+    "formula": "=((C5-B5)+(C5<B5))*24",
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+    "formula": "=((C6-B6)+(C6<B6))*24",
+    "cached_value": 10.016666666666667,
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+  {
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+    "row": 7,
+    "formula": "=((C7-B7)+(C7<B7))*24",
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+  {
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+    "formula": "=((C8-B8)+(C8<B8))*24",
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+]

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01534/ground_truth_target.json

@@ -0,0 +1,58 @@
+[
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+    "formula": "=IF(E2>40,E2-40,0)",
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+    "formula": "=IF(E8>40,E8-40,0)",
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+    "pattern_id": "pf_0001"
+  }
+]

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01534/layers.json

@@ -0,0 +1,135 @@
+{
+  "dag_id": "dag_36fa8cd941df",
+  "file_id": "732838d1621265636-regular-ot-double-time-and-40-hrs-week-ot-sample",
+  "category": "single_sheet",
+  "surface_category": "single_sheet",
+  "effective_category": "single_sheet",
+  "depth": 3,
+  "quality": {
+    "chain_error_cells": 0,
+    "chain_external_cells": 0,
+    "is_clean": true
+  },
+  "layers": [
+    {
+      "layer_index": 1,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00001"
+          ],
+          "sheet": "Sheet1",
+          "col": "G",
+          "rows": [
+            2,
+            3,
+            4,
+            5,
+            6,
+            7,
+            8
+          ],
+          "row_ranges": "2-8",
+          "row_count": 7,
+          "pattern_id": "pf_0001",
+          "normalized_pattern": "=IF([C-2,R]>40,[C-2,R]-40,0)",
+          "sample_formula": "=IF(E2>40,E2-40,0)"
+        }
+      ],
+      "new_eval_cells": 7,
+      "total_masked_cells": 7
+    },
+    {
+      "layer_index": 2,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00003"
+          ],
+          "sheet": "Sheet1",
+          "col": "E",
+          "rows": [
+            3,
+            4,
+            5,
+            6,
+            7
+          ],
+          "row_ranges": "3-7",
+          "row_count": 5,
+          "pattern_id": "pf_0003",
+          "normalized_pattern": "=[C-1,R]+[C,R-1]",
+          "sample_formula": "=D3+E2"
+        },
+        {
+          "region_ids": [
+            "rg_00005"
+          ],
+          "sheet": "Sheet1",
+          "col": "E",
+          "rows": [
+            8
+          ],
+          "row_ranges": "8",
+          "row_count": 1,
+          "pattern_id": "pf_0005",
+          "normalized_pattern": "=SUM([C-1,R-6]:[C-1,R])",
+          "sample_formula": "=SUM(D2:D8)"
+        },
+        {
+          "region_ids": [
+            "rg_00007"
+          ],
+          "sheet": "Sheet1",
+          "col": "E",
+          "rows": [
+            2
+          ],
+          "row_ranges": "2",
+          "row_count": 1,
+          "pattern_id": "pf_0006",
+          "normalized_pattern": "=[C-1,R]",
+          "sample_formula": "=D2"
+        }
+      ],
+      "new_eval_cells": 7,
+      "total_masked_cells": 14
+    },
+    {
+      "layer_index": 3,
+      "new_pattern_groups": [
+        {
+          "region_ids": [
+            "rg_00000"
+          ],
+          "sheet": "Sheet1",
+          "col": "D",
+          "rows": [
+            2,
+            3,
+            4,
+            5,
+            6,
+            7,
+            8
+          ],
+          "row_ranges": "2-8",
+          "row_count": 7,
+          "pattern_id": "pf_0000",
+          "normalized_pattern": "=(([C-1,R]-[C-2,R])+([C-1,R]<[C-2,R]))*24",
+          "sample_formula": "=((C2-B2)+(C2<B2))*24"
+        }
+      ],
+      "new_eval_cells": 7,
+      "total_masked_cells": 21
+    }
+  ],
+  "sink": {
+    "region_id": "rg_00001",
+    "sheet": "Sheet1",
+    "col": "G",
+    "pattern_id": "pf_0001",
+    "row_count": 7,
+    "family_size": 7
+  }
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01534/nl_task.json

@@ -0,0 +1,26 @@
+{
+  "task_id": "single_sheet__dag_36fa8cd941df",
+  "prompt_en": "Sheet1 is a time-entry record with Date, Punch In, Punch Out, Daily Hours, Weekly Hours, Daily OT Hours, and an OT > 40 Hours column. Please complete the blank entries in the OT > 40 Hours column for rows 2 through 8 (G2:G8). The daily and weekly hour fields are part of the same record, so those figures need to be in place for the overtime-over-40 entries to make sense. When you’re done, please save the completed file as an .xlsx.",
+  "prompt_cn": "Sheet1 是一张工时记录表，包含 Date、Punch In、Punch Out、Daily Hours、Weekly Hours、Daily OT Hours，以及 OT > 40 Hours 列。请补全 OT > 40 Hours 列中第 2 行到第 8 行的空白项（G2:G8）。Daily Hours 和 Weekly Hours 这些字段属于同一份记录，因此这些工时信息到位后，OT > 40 Hours 的内容才会完整。完成后，请将文件保存为 .xlsx 格式。",
+  "quality_notes": "The prompt identifies the single sheet, visible headers, and the exact target range while avoiding formulas, computation terms, and explicit operational hints. It mentions the dependency context only in natural business terms and ends with the required save instruction.",
+  "post_check_issues": [],
+  "prompt_mode": "minimal",
+  "hint_leakage": {
+    "score": 3,
+    "level": "low",
+    "max_possible": 100,
+    "dimensions": {
+      "operation_words": 0,
+      "cell_range_density": 3,
+      "step_by_step": 0,
+      "column_operation_mapping": 0,
+      "formula_pattern_hints": 0
+    },
+    "operation_words_found": [],
+    "cell_ranges_found": 1
+  },
+  "version": "v7",
+  "model": "gpt-5.5",
+  "elapsed": 5.5,
+  "attempt": 1
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01534/release_qc.json

@@ -0,0 +1,58 @@
+{
+  "binary": true,
+  "binary_reason": "CORRECT: clean chain mask over real cells, GT is consistent, and the task is solvable from visible time-entry structure despite some minor inference required.",
+  "D1": {
+    "score": 5,
+    "reason": "All 21 contract cells are real cells within the sheet range and are truly masked. The mask boundary is clean with no extra masked cells and no contract misses. There is no trivially copyable same-column exemplar for G, D, or E; visible adjacent formulas in F/K/H provide structural clues but do not make the answer zero-reasoning copyable."
+  },
+  "D2": {
+    "score": 5,
+    "reason": "The layer-1 GT formulas =IF(E>40,E-40,0) are deterministic and match the cached values when the weekly-hours chain is evaluated. The cached overtime values for rows 7 and 8 are consistent with cumulative weekly hours exceeding 40."
+  },
+  "D3": {
+    "score": 4,
+    "reason": "The NL clearly identifies the target range G2:G8 and explains that daily and weekly hour fields are part of the same record. It is mostly unambiguous, though it does not explicitly state the exact daily-hours or weekly cumulative formulas, leaving some reconstruction to the solver."
+  },
+  "D4": {
+    "score": 4,
+    "reason": "Using only mask_last.xlsx and the prompt, the dependency chain is reconstructible: Date/Punch In/Punch Out plus the Daily Hours header support deriving D; the Weekly Hours header and one-week daily record support cumulative weekly hours in E; and the 'OT > 40 Hours' header directly exposes the 40-hour threshold for G. Visible formulas in F, K, H, J, and L confirm that D is numeric hours and that weekly/daily overtime columns interact with these masked fields. Minor ambiguity remains around exact boundary handling for blank punches or overnight punches, but the root evidence for the current rows is largely present.",
+    "d4_type": "ok"
+  },
+  "D5": {
+    "score": 4,
+    "reason": "The source sheet is generally sound: headers are meaningful, formulas are deterministic, and there are no apparent circular or broken references in the relevant chain. There are some odd or inconsistent formulas/hardcoded values in adjacent Daily OT Hours cells, but they do not corrupt the D/E/G target chain."
+  },
+  "D6": {
+    "score": 5,
+    "reason": "The NL prompt sounds like a plausible workplace request, avoids benchmark jargon, and naturally describes the spreadsheet and desired completion."
+  },
+  "total": 27,
+  "verdict": "RELEASE",
+  "verdict_reason": "High-quality single-sheet chain task with clean masking, correct GT, and sufficient visible evidence. Minor inferential ambiguity does not undermine solvability.",
+  "frontier_hardness": {
+    "score": 2,
+    "reason": "Although the task has a three-layer chain, it is single-sheet and uses familiar time-entry logic with clear headers and visible structural clues. A frontier model should likely reconstruct the daily hours, cumulative weekly hours, and over-40 overtime calculation successfully.",
+    "fail_reason": "easy",
+    "is_valid_hardness": false
+  },
+  "_prompt_chars": 17335,
+  "_timing_load_workbooks": 0.02,
+  "_timing_context": 0.0,
+  "_timing_api": 77.8,
+  "local_difficulty": {
+    "difficulty_score": 60.0,
+    "difficulty": "hard",
+    "depth": 3,
+    "total_masked": 21,
+    "is_cross_sheet": false,
+    "unique_patterns": 5,
+    "avg_complexity": 9,
+    "cross_refs": 0,
+    "visible_exemplar_ratio": 0.125
+  },
+  "task_id": "single_sheet__dag_36fa8cd941df",
+  "elapsed": 77.8,
+  "publish_decision": "YES",
+  "release_tier": "GOLD",
+  "hard_block_reasons": []
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01534/target_contract.json

@@ -0,0 +1,87 @@
+{
+  "task_id": "single_sheet__dag_36fa8cd941df",
+  "category": "single_sheet",
+  "depth": 3,
+  "final_target": {
+    "regions": [
+      {
+        "sheet": "Sheet1",
+        "column": "G",
+        "column_header": "OT > 40 Hours",
+        "cell_range": "G2:G8",
+        "cell_count": 7,
+        "rows": [
+          2,
+          3,
+          4,
+          5,
+          6,
+          7,
+          8
+        ],
+        "first_row_label": "",
+        "last_row_label": ""
+      }
+    ],
+    "cell_count": 7,
+    "formula_families": [
+      "conditional"
+    ]
+  },
+  "prerequisite_steps": [
+    {
+      "layer": 3,
+      "regions": [
+        {
+          "sheet": "Sheet1",
+          "column": "D",
+          "column_header": "Daily Hours",
+          "cell_range": "D2:D8",
+          "cell_count": 7,
+          "rows": [
+            2,
+            3,
+            4,
+            5,
+            6,
+            7,
+            8
+          ],
+          "first_row_label": "",
+          "last_row_label": ""
+        }
+      ],
+      "cell_count": 7
+    },
+    {
+      "layer": 2,
+      "regions": [
+        {
+          "sheet": "Sheet1",
+          "column": "E",
+          "column_header": "Weekly Hours",
+          "cell_range": "E2:E8",
+          "cell_count": 7,
+          "rows": [
+            2,
+            3,
+            4,
+            5,
+            6,
+            7,
+            8
+          ],
+          "first_row_label": "",
+          "last_row_label": ""
+        }
+      ],
+      "cell_count": 7
+    }
+  ],
+  "total_prerequisite_cells": 14,
+  "total_masked_cells": 21,
+  "ratio_total_vs_final": 3.0,
+  "sheets_involved": [
+    "Sheet1"
+  ]
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01534/task_meta.json

@@ -0,0 +1,60 @@
+{
+  "fcb_id": "FCB-01534",
+  "task_id": "single_sheet__dag_36fa8cd941df",
+  "tier": "T2_HARD",
+  "category": "single_sheet",
+  "depth": 3,
+  "total_masked": 21,
+  "is_cross_sheet": false,
+  "prompt_en": "Sheet1 is a time-entry record with Date, Punch In, Punch Out, Daily Hours, Weekly Hours, Daily OT Hours, and an OT > 40 Hours column. Please complete the blank entries in the OT > 40 Hours column for rows 2 through 8 (G2:G8). The daily and weekly hour fields are part of the same record, so those figures need to be in place for the overtime-over-40 entries to make sense. When you’re done, please save the completed file as an .xlsx.",
+  "prompt_cn": "Sheet1 是一张工时记录表，包含 Date、Punch In、Punch Out、Daily Hours、Weekly Hours、Daily OT Hours，以及 OT > 40 Hours 列。请补全 OT > 40 Hours 列中第 2 行到第 8 行的空白项（G2:G8）。Daily Hours 和 Weekly Hours 这些字段属于同一份记录，因此这些工时信息到位后，OT > 40 Hours 的内容才会完整。完成后，请将文件保存为 .xlsx 格式。",
+  "qc": {
+    "total": 27,
+    "verdict": "RELEASE",
+    "D1": 5,
+    "D2": 5,
+    "D3": 4,
+    "D4": 4,
+    "D5": 4,
+    "D6": 5,
+    "frontier_hardness": 2,
+    "local_difficulty": 60.0
+  },
+  "source_file_id": "732838d1621265636-regular-ot-double-time-and-40-hrs-week-ot-sample",
+  "inferred_domain": "general",
+  "domain_confidence": 0.0,
+  "sheet_profiles": [
+    {
+      "name": "Sheet1",
+      "used_range": "A1:R8",
+      "row_count": 8,
+      "col_count": 18,
+      "has_header": true,
+      "title_hint": "Sheet1",
+      "header_info": {
+        "sheet": "Sheet1",
+        "header_row": 1,
+        "headers": {
+          "A": "Date",
+          "B": "Punch\nIn",
+          "C": "Punch\nOut",
+          "D": "Daily Hours",
+          "E": "Weekly Hours",
+          "F": "Daily\nOT Hours",
+          "G": "OT > 40 Hours",
+          "H": "Weekly Regular OT Hours",
+          "I": "Paid OT Hours",
+          "J": "Weekly Unpaid \nOT Hours",
+          "K": "Daily \nDouble OT Hours",
+          "L": "OT Hours \n> 12 \n(2x Regular Hourly Rate)",
+          "M": "[Person_1]",
+          "N": "OT \nRate",
+          "O": "Double \nOT Rate",
+          "P": "Daily OT\nOwed",
+          "Q": "Daily Double OT Owed",
+          "R": "Total \nOT Owed"
+        }
+      }
+    }
+  ]
+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01562/audit.json

@@ -0,0 +1,438 @@
+{
+  "gate": {
+    "pre_nl_gate": {
+      "gate_label": "GATE_PASS",
+      "gate_pass": true,
+      "hard_fails": 0,
+      "warns": 0,
+      "checks": [
+        {
+          "check": "final_target_gate",
+          "pass": true,
+          "detail": "final_target has 11 cells"
+        },
+        {
+          "check": "header_grounding",
+          "pass": true,
+          "severity": "pass",
+          "detail": "1/1 final regions have column_header"
+        },
+        {
+          "check": "mask_consistency",
+          "pass": true,
+          "detail": "mask_last=6023B, src=10508B"
+        },
+        {
+          "check": "dirty_family",
+          "pass": true,
+          "detail": "0 dirty cells"
+        },
+        {
+          "check": "ratio_gate",
+          "pass": true,
+          "detail": "ratio=3.8 (total=42, final=11)"
+        },
+        {
+          "check": "dedup_gate",
+          "pass": true,
+          "detail": "0 duplicate cells across layers"
+        },
+        {
+          "check": "gt_uniqueness",
+          "pass": true,
+          "detail": "18 unique values across 42 cells"
+        },
+        {
+          "check": "tail_artifact",
+          "pass": true,
+          "detail": "0 bad values"
+        },
+        {
+          "check": "unrecoverable_leaf",
+          "pass": true,
+          "detail": "clean",
+          "hidden_const_cells": []
+        },
+        {
+          "check": "adjacent_column_leak",
+          "pass": true,
+          "detail": "clean"
+        },
+        {
+          "check": "header_name_accuracy",
+          "pass": true,
+          "detail": "clean"
+        },
+        {
+          "check": "duplicate_lookup_tie_break",
+          "pass": true,
+          "detail": "no lookup formulas"
+        },
+        {
+          "check": "src_chain_integrity",
+          "pass": true,
+          "severity": "ok",
+          "detail": "clean",
+          "sub_checks": {
+            "error_cells": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "external_refs": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "volatile_funcs": {
+              "pass": true,
+              "count": 0,
+              "cells": []
+            },
+            "missing_sheets": {
+              "pass": true,
+              "count": 0,
+              "sheets": []
+            },
+            "circular_refs": {
+              "pass": true,
+              "cycle_cells": []
+            }
+          }
+        },
+        {
+          "check": "uniqueness_deep",
+          "pass": true,
+          "severity": "ok",
+          "detail": "clean"
+        }
+      ]
+    },
+    "post_nl_validate": {
+      "validate_label": "CLEAN",
+      "validate_pass": true,
+      "hard_fails": 0,
+      "soft_warns": 0,
+      "checks": [
+        {
+          "check": "cell_range_match",
+          "pass": true,
+          "detail": "contract=6, prompt=1, missing=0",
+          "missing_ranges": [],
+          "severity": "OK"
+        },
+        {
+          "check": "cell_count_match",
+          "pass": true,
+          "detail": "no explicit total found; skipping (natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "step_count_match",
+          "pass": true,
+          "detail": "contract=2, no explicit steps found (v5 natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "sheet_name_match",
+          "pass": true,
+          "detail": "contract=['Blad1'], missing=[]",
+          "severity": "OK"
+        },
+        {
+          "check": "no_formula_leak",
+          "pass": true,
+          "detail": "0 formula leaks",
+          "severity": "OK"
+        },
+        {
+          "check": "no_value_leak",
+          "pass": true,
+          "detail": "0 value leaks out of 11 GT cells",
+          "severity": "OK"
+        },
+        {
+          "check": "final_target_first",
+          "pass": true,
+          "detail": "no explicit final target marker (natural format)",
+          "severity": "OK"
+        },
+        {
+          "check": "output_format",
+          "pass": true,
+          "detail": "output format found",
+          "severity": "OK"
+        },
+        {
+          "check": "header_in_prompt",
+          "pass": true,
+          "detail": "no column headers found in prompt",
+          "severity": "OK"
+        },
+        {
+          "check": "hint_specificity",
+          "pass": true,
+          "detail": "clean",
+          "severity": "OK"
+        },
+        {
+          "check": "evidence_scope",
+          "pass": true,
+          "detail": "no cross-sheet refs in GT",
+          "severity": "OK"
+        },
+        {
+          "check": "exemplar_consistency",
+          "pass": true,
+          "severity": "OK",
+          "detail": "checked 4 col groups"
+        },
+        {
+          "check": "nl_gt_operation_consistency",
+          "pass": true,
+          "detail": "GT funcs: ['EOMONTH', 'WEEKDAY']",
+          "severity": "OK"
+        },
+        {
+          "check": "unmatched_default_rule",
+          "pass": true,
+          "detail": "no default-rule phrase found in NL",
+          "severity": "OK"
+        },
+        {
+          "check": "volatile_function_freeze",
+          "pass": true,
+          "detail": "volatile_cells=0",
+          "severity": "OK"
+        },
+        {
+          "check": "direct_answer_leakage",
+          "pass": true,
+          "detail": "0 leaks out of 42 GT cells (0%)",
+          "severity": "OK"
+        }
+      ]
+    },
+    "pre_nl_local": {
+      "local_total": 58,
+      "local_label": "PENDING_NL",
+      "hard_fail_flags": [],
+      "warnings": [
+        "nl_missing"
+      ],
+      "local_subscores": {
+        "family_clean": 25,
+        "target_integrity": 15,
+        "taxonomy": 10,
+        "semantic_signal": 8,
+        "nl_schema": 0,
+        "target_alignment": 0,
+        "business_specificity": 0,
+        "nl_risk": 0
+      }
+    }
+  },
+  "verify": {
+    "uniqueness": {
+      "total_gt_cells": 42,
+      "total_non_none": 42,
+      "block_reasons": [],
+      "warnings": [
+        "mixed_gt_types:{'int': 11, 'str': 31}"
+      ],
+      "checks": {
+        "rank_tie_risk": {
+          "rank_cells": 0,
+          "tie_issues": 0,
+          "details": []
+        },
+        "trivial_gt": {
+          "issues": []
+        },
+        "gt_type_consistency": {
+          "types": {
+            "int": 11,
+            "str": 31
+          },
+          "mixed": true
+        },
+        "empty_gt": {
+          "count": 0,
+          "details": []
+        }
+      }
+    },
+    "src_chain": {
+      "hard_block": false,
+      "block_reasons": [],
+      "checks": {
+        "error_cells": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "external_refs": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "volatile_funcs": {
+          "pass": true,
+          "count": 0,
+          "cells": []
+        },
+        "missing_sheets": {
+          "pass": true,
+          "count": 0,
+          "sheets": []
+        },
+        "circular_refs": {
+          "pass": true,
+          "cycle_cells": []
+        }
+      },
+      "required_chain_scope": {
+        "external_ref_in_required_chain": 0,
+        "external_ref_in_other": 0,
+        "error_cells_in_required_chain": 0,
+        "error_cells_in_other": 0,
+        "required_chain_cells": 42
+      }
+    },
+    "solver_visibility": {
+      "contract_cells": 42,
+      "total_masked": 42,
+      "total_visible": 12,
+      "depth": 3,
+      "block_reasons": [],
+      "warnings": [],
+      "checks": {
+        "broken_chains": {
+          "count": 0,
+          "checked": 42,
+          "details": []
+        },
+        "orphan_masks": {
+          "count": 0,
+          "details": []
+        },
+        "self_contained": {
+          "missing_sheets": []
+        }
+      }
+    },
+    "exemplar": {
+      "soft_block": true,
+      "block_reasons": [
+        "zero_exemplar:3_patterns"
+      ],
+      "checks": {
+        "pattern_coverage": {
+          "pass": false,
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+    }
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+}

FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01562/ground_truth_full.json

@@ -0,0 +1,380 @@
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FormulaCascade_Benchmark_eval_200/T2_HARD/internal/FCB-01562/ground_truth_target.json

@@ -0,0 +1,90 @@
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