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GMU PLAIN-ENGLISH · WALKTHROUGH · DR095

Rule 2 Case 2b First Empty Blue — Plain-English Walkthrough (DR095)

DR095 pairs Rule 2 Case 2b First Empty Blue (Continuing column row r = d_{k-m} + 1 stepping one row past reference) with Plain-English Modality (Jargon-Free Narrative): 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
DR095
Big Road Streaks
13 Cols
Big Eye Boy Total
20 Marks
Small Road Total
18 Dots
Engine-Verified Scoreboard · 24 Hands

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

DR095 drill board (BBPPBPPPBBPPBBBPTBPPBPPB): 13 Big Road columns, 20 Big Eye Boy, 18 Small Road, and 17 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 #3

Column 3 has 1 bead. 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 1 bead. 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 #1

Column 3 has 1 bead. 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 1 bead. 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 #1

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 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 1 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

DR095 Target Coordinate
Rule 2 Case 2b First Empty Blue

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

DR095 Rule Classification
Plain-English Walkthrough

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

DR095 Depth Comparison
13 Big Road Cols

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

DR095 Misconception Focus
Diagnostic Check

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

DR095 GMU Modality Goal
Plain-English Modality (Jargon-Free Narrative)

Detect the exact row where an active streak breaks one cell past d_{k-m} by stating the lookback comparison in everyday words using describeMark()

DR095 · Coordinate & Rule Specification

DR095 Rule 2 Case 2b First Empty Blue: Plain-English Walkthrough Walkthrough

Throughout BBPPBPPPBBPPBBBPTB (13 columns, 20 Big Eye Boy marks), lesson DR095 uses Plain-English Walkthrough to reinforce Rule 2 Case 2b First Empty Blue and Cell (k-m, r) is empty while cell (k-m, r-1) above it is populated.

In DR095 (Plain-English Modality (Jargon-Free Narrative)), mark verification begins: Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠). Counting 18 Small Road and 17 Cockroach Pig entries prevents marking red when an active streak first outgrows the reference column by 1 row.

Table DR095: Rule 2 Case 2b First Empty Blue specification under Plain-English Walkthrough.
DR095 Drill DimensionCoordinate / RuleGMU Modality Action
DR095 Matrix CoordinateContinuing column row r = d_{k-m} + 1 stepping one row past referencePlain-English Modality (Jargon-Free Narrative)
DR095 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
DR095 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}
  • DR095 Step 1: Locate Continuing column row r = d_{k-m} + 1 stepping one row past reference across the 13 columns of BBPPBPPPBBPP.
  • DR095 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 (≠).
  • DR095 Step 3: Answer "How do you explain this mark in one clear sentence to a table neighbor?" via stating the lookback comparison in everyday words using describeMark().
DR095 · Plain-English Modality (Jargon-Free Narrative)

DR095 Misconception Diagnostic & Secondary Road Audit

Cross-checking mark #2 in DR095, Column 3 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠). With Plain-English Modality (Jargon-Free Narrative), Rule 2 Case 2b First Empty Blue connects Continuing column row r = d_{k-m} + 1 stepping one row past reference to all 13 Big Road columns.

Table Reality Check

Myth vs. Truth

MythIn DR095 (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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