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GMU QUESTION-DRIVEN · TRIAGE · DR098

Rule 2 Case 2b First Empty Blue — Question-Driven Error Audit (DR098)

DR098 pairs Rule 2 Case 2b First Empty Blue (Continuing column row r = d_{k-m} + 1 stepping one row past reference) with Question-Driven Modality (Self-Test Triage): learners verify Cell (k-m, r) is empty while cell (k-m, r-1) above it is populated, master Rule 2 Case 2b First Empty Cell Past Reference returning Blue (≠), and eliminate marking red when an active streak first outgrows the reference column by 1 row.

Drill Reference ID
DR098
Big Road Streaks
11 Cols
Big Eye Boy Total
19 Marks
Small Road Total
17 Dots
Engine-Verified Scoreboard · 23 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road P P B B P P P P B B P B B B P B P P B B P
Big Eye Boy = = = ≠ = ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = = =
Small Road = ≠ = ≠ = = ≠ = ≠ ≠ = = ≠ ≠ ≠ = =
Cockroach Pig = = ≠ = = ≠ ≠ ≠ ≠ = ≠ ≠ ≠

DR098 drill board (PPBBPPPPBBPBBBPBTBPPBBP): 11 Big Road columns, 19 Big Eye Boy, 17 Small Road, and 13 Cockroach Pig marks.

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy · Mark #6

Column 3 has 4 beads. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. Column 3 has 4 beads. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road · Mark #4

Column 3 has 4 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 1, 2 columns further back.
  2. Column 3 has 4 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

Cockroach Pig · Mark #4

This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

DR098 Target Coordinate
Rule 2 Case 2b First Empty Blue

Continuing column row r = d_{k-m} + 1 stepping one row past reference

DR098 Rule Classification
Question-Driven Error Audit

Rule 2 Case 2b First Empty Cell Past Reference returning Blue (≠)

DR098 Depth Comparison
11 Big Road Cols

Cell (k-m, r) is empty while cell (k-m, r-1) above it is populated

DR098 Misconception Focus
Diagnostic Check

Marking red when an active streak first outgrows the reference column by 1 row

DR098 GMU Modality Goal
Question-Driven Modality (Self-Test Triage)

Detect the exact row where an active streak breaks one cell past d_{k-m} by diagnosing off-by-one column lookbacks and Case 2b vs Case 2c mixups

DR098 · Coordinate & Rule Specification

DR098 Rule 2 Case 2b First Empty Blue: Question-Driven Error Audit Walkthrough

When practicing Rule 2 Case 2b First Empty Blue in DR098, Question-Driven Error Audit focuses on Rule 2 Case 2b First Empty Cell Past Reference returning Blue (≠) so readers verify Cell (k-m, r) is empty while cell (k-m, r-1) above it is populated across 11 streaks of PPBBPPPPB-BPBBBPBTB.

Engine trace DR098 for Rule 2 Case 2b First Empty Blue verifies: Column 3 has 4 beads. Column 2 has 2 beads. Different depth → blue (≠). Across 17 Small Road dots and 13 Cockroach Pig slashes, diagnosing off-by-one column lookbacks and Case 2b vs Case 2c mixups anchors every lookback.

Table DR098: Rule 2 Case 2b First Empty Blue specification under Question-Driven Error Audit.
DR098 Drill DimensionCoordinate / RuleGMU Modality Action
DR098 Matrix CoordinateContinuing column row r = d_{k-m} + 1 stepping one row past referenceQuestion-Driven Modality (Self-Test Triage)
DR098 Rule & DepthRule 2 Case 2b First Empty Cell Past Reference returning Blue (≠)Cell (k-m, r) is empty while cell (k-m, r-1) above it is populated
DR098 Diagnostic TargetMarking red when an active streak first outgrows the reference column by 1 rowDetect the exact row where an active streak breaks one cell past d_{k-m}
  • DR098 Step 1: Locate Continuing column row r = d_{k-m} + 1 stepping one row past reference across the 11 columns of PPBBPPPPBBPB.
  • DR098 Step 2: Verify Cell (k-m, r) is empty while cell (k-m, r-1) above it is populated under Rule 2 Case 2b First Empty Cell Past Reference returning Blue (≠).
  • DR098 Step 3: Answer "Where does an off-by-one column count flip the derived mark color?" via diagnosing off-by-one column lookbacks and Case 2b vs Case 2c mixups.
DR098 · Question-Driven Modality (Self-Test Triage)

DR098 Misconception Diagnostic & Secondary Road Audit

Verification step 2 in DR098 reads: Column 3 has 4 beads. Column 1 has 2 beads. Different depth → blue (≠). Through Question-Driven Error Audit, Rule 2 Case 2b First Empty Blue achieves detect the exact row where an active streak breaks one cell past d_{k-m} over 11 streaks.

Table Reality Check

Myth vs. Truth

MythIn DR098 (Rule 2 Case 2b First Empty Blue), marking red when an active streak first outgrows the reference column by 1 row or reading red/blue derived marks as Banker/Player outcomes.
TruthRule 2 Case 2b First Empty Cell Past Reference returning Blue (≠) evaluates Cell (k-m, r) is empty while cell (k-m, r-1) above it is populated; derived road colors reflect structural symmetry only and never alter independent shoe probabilities.
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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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