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GMU QUESTION-DRIVEN · TRIAGE · DR078

Rule 1 Unequal Depth Blue (≠) — Question-Driven Error Audit (DR078)

DR078 pairs Rule 1 Unequal Depth Blue (≠) (New Big Road column row 1 with d_{k-1} != d_{k-1-m}) with Question-Driven Modality (Self-Test Triage): learners verify Prior column depth d_{k-1} = 3 differs from reference depth d_{k-1-m} = 1, master Rule 1 Column-Switch Inequality Case returning Blue (≠), and eliminate assuming blue on row 1 signals a player outcome instead of unequal column lengths.

Drill Reference ID
DR078
Big Road Streaks
13 Cols
Big Eye Boy Total
20 Marks
Small Road Total
18 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 B P B P B B P
Big Eye Boy = = = ≠ = ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = = ≠ ≠
Small Road = ≠ = ≠ = = ≠ = ≠ ≠ = = ≠ = ≠ = ≠ ≠
Cockroach Pig = = ≠ = = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠

DR078 drill board (PPBBPPPPBBPBBBPBBPBPBBP): 13 Big Road columns, 20 Big Eye Boy, 18 Small Road, and 14 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 #4

This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠).

  1. Column 3 goes down to Row 3, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

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

DR078 Target Coordinate
Rule 1 Unequal Depth Blue (≠)

New Big Road column row 1 with d_{k-1} != d_{k-1-m}

DR078 Rule Classification
Question-Driven Error Audit

Rule 1 Column-Switch Inequality Case returning Blue (≠)

DR078 Depth Comparison
13 Big Road Cols

Prior column depth d_{k-1} = 3 differs from reference depth d_{k-1-m} = 1

DR078 Misconception Focus
Diagnostic Check

Assuming blue on row 1 signals a Player outcome instead of unequal column lengths

DR078 GMU Modality Goal
Question-Driven Modality (Self-Test Triage)

Spot unequal completed column depths on a Big Road side change by diagnosing off-by-one column lookbacks and Case 2b vs Case 2c mixups

DR078 · Coordinate & Rule Specification

DR078 Rule 1 Unequal Depth Blue (≠): Question-Driven Error Audit Walkthrough

Drill DR078 pairs Rule 1 Unequal Depth Blue (≠) with Question-Driven Error Audit (Question-Driven Modality (Self-Test Triage)), guiding learners through New Big Road column row 1 with d_{k-1} != d_{k-1-m} across 13 Big Road columns in shoe PPBBPPPPB-BPBBBPBBP.

As DR078 demonstrates through diagnosing off-by-one column lookbacks and Case 2b vs Case 2c mixups, This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠). The board's 18 Small Road and 14 Cockroach Pig symbols confirm Rule 1 Column-Switch Inequality Case returning Blue (≠).

Table DR078: Rule 1 Unequal Depth Blue (≠) specification under Question-Driven Error Audit.
DR078 Drill DimensionCoordinate / RuleGMU Modality Action
DR078 Matrix CoordinateNew Big Road column row 1 with d_{k-1} != d_{k-1-m}Question-Driven Modality (Self-Test Triage)
DR078 Rule & DepthRule 1 Column-Switch Inequality Case returning Blue (≠)Prior column depth d_{k-1} = 3 differs from reference depth d_{k-1-m} = 1
DR078 Diagnostic TargetAssuming blue on row 1 signals a Player outcome instead of unequal column lengthsSpot unequal completed column depths on a Big Road side change
  • DR078 Step 1: Locate New Big Road column row 1 with d_{k-1} != d_{k-1-m} across the 13 columns of PPBBPPPPBBPB.
  • DR078 Step 2: Verify Prior column depth d_{k-1} = 3 differs from reference depth d_{k-1-m} = 1 under Rule 1 Column-Switch Inequality Case returning Blue (≠).
  • DR078 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.
DR078 · Question-Driven Modality (Self-Test Triage)

DR078 Misconception Diagnostic & Secondary Road Audit

Follow-up verification DR078 (Question-Driven Error Audit) observes: Column 3 has 4 beads. Column 1 has 2 beads. Different depth → blue (≠). Learners checking Prior column depth d_{k-1} = 3 differs from reference depth d_{k-1-m} = 1 across 13 columns avoid assuming blue on row 1 signals a player outcome instead of unequal column lengths.

Table Reality Check

Myth vs. Truth

MythIn DR078 (Rule 1 Unequal Depth Blue (≠)), assuming blue on row 1 signals a player outcome instead of unequal column lengths or reading red/blue derived marks as Banker/Player outcomes.
TruthRule 1 Column-Switch Inequality Case returning Blue (≠) evaluates Prior column depth d_{k-1} = 3 differs from reference depth d_{k-1-m} = 1; 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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