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GMU QUESTION-DRIVEN · SOCRATIC · DR097

Rule 2 Case 2b First Empty Blue — Question-Driven Socratic Drill (DR097)

DR097 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 (Socratic Inquiry): 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
DR097
Big Road Streaks
10 Cols
Big Eye Boy Total
19 Marks
Small Road Total
17 Dots
Engine-Verified Scoreboard · 22 Hands

Read the Board at Table Speed

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

DR097 drill board (BBPPBBBBPPBPPPBPPPBBBP): 10 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 #5

This bead is at Row 4. Column 2 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 stopped at Row 2, more than one row above → red (=).

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 #3

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig · Mark #3

Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

DR097 Target Coordinate
Rule 2 Case 2b First Empty Blue

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

DR097 Rule Classification
Question-Driven Socratic Drill

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

DR097 Depth Comparison
10 Big Road Cols

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

DR097 Misconception Focus
Diagnostic Check

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

DR097 GMU Modality Goal
Question-Driven Modality (Socratic Inquiry)

Detect the exact row where an active streak breaks one cell past d_{k-m} by answering three sequential checkpoints: row position, lookback m, and parity

DR097 · Coordinate & Rule Specification

DR097 Rule 2 Case 2b First Empty Blue: Question-Driven Socratic Drill Walkthrough

Under Question-Driven Socratic Drill (DR097), Rule 2 Case 2b First Empty Blue isolates Continuing column row r = d_{k-m} + 1 stepping one row past reference and Cell (k-m, r) is empty while cell (k-m, r-1) above it is populated, turning BBPPBBBBP-PBPPPBPPP into a hands-on 19-mark verification.

Applying Rule 2 Case 2b First Empty Cell Past Reference returning Blue (≠) in DR097, This bead is at Row 4. Column 2 stopped at Row 2, more than one row above → red (=). Those 17 Small Road dots and 13 Cockroach Pig slashes accompany Continuing column row r = d_{k-m} + 1 stepping one row past reference during answering three sequential checkpoints: row position, lookback m, and parity.

Table DR097: Rule 2 Case 2b First Empty Blue specification under Question-Driven Socratic Drill.
DR097 Drill DimensionCoordinate / RuleGMU Modality Action
DR097 Matrix CoordinateContinuing column row r = d_{k-m} + 1 stepping one row past referenceQuestion-Driven Modality (Socratic Inquiry)
DR097 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
DR097 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}
  • DR097 Step 1: Locate Continuing column row r = d_{k-m} + 1 stepping one row past reference across the 10 columns of BBPPBBBBPPBP.
  • DR097 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 (≠).
  • DR097 Step 3: Answer "Is the active hand starting a new column (Rule 1) or continuing down (Rule 2)?" via answering three sequential checkpoints: row position, lookback m, and parity.
DR097 · Question-Driven Modality (Socratic Inquiry)

DR097 Misconception Diagnostic & Secondary Road Audit

Inside DR097 (GMU QUESTION-DRIVEN · SOCRATIC), This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=). Every step of Rule 2 Case 2b First Empty Cell Past Reference returning Blue (≠) and Cell (k-m, r) is empty while cell (k-m, r-1) above it is populated holds across 10 columns.

Table Reality Check

Myth vs. Truth

MythIn DR097 (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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