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GMU ANALYTICAL · DEPTH AUDIT · DR100

Rule 2 Case 2b First Empty Blue — Analytical Depth Audit (DR100)

DR100 pairs Rule 2 Case 2b First Empty Blue (Continuing column row r = d_{k-m} + 1 stepping one row past reference) with Analytical Modality (Depth Vector Verification): 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
DR100
Big Road Streaks
11 Cols
Big Eye Boy Total
20 Marks
Small Road Total
17 Dots
Engine-Verified Scoreboard · 25 Hands

Read the Board at Table Speed

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

DR100 drill board (PPBBBPPPPBBPBBBBPPBTPBBTP): 11 Big Road columns, 20 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 #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

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

Small Road · Mark #1

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

  1. Column 3 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig · Mark #2

Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

DR100 Target Coordinate
Rule 2 Case 2b First Empty Blue

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

DR100 Rule Classification
Analytical Depth Audit

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

DR100 Depth Comparison
11 Big Road Cols

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

DR100 Misconception Focus
Diagnostic Check

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

DR100 GMU Modality Goal
Analytical Modality (Depth Vector Verification)

Detect the exact row where an active streak breaks one cell past d_{k-m} by computing the full column-depth vector [d_1, d_2, ..., d_k] across the shoe

DR100 · Coordinate & Rule Specification

DR100 Rule 2 Case 2b First Empty Blue: Analytical Depth Audit Walkthrough

Misconception audit DR100 (GMU ANALYTICAL · DEPTH AUDIT) addresses Rule 2 Case 2b First Empty Blue by contrasting marking red when an active streak first outgrows the reference column by 1 row against Rule 2 Case 2b First Empty Cell Past Reference returning Blue (≠) on shoe PPBBBPPPP.

Looking at DR100 through Analytical Modality (Depth Vector Verification), This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠). Auditing 17 Small Road and 13 Cockroach Pig entries eliminates marking red when an active streak first outgrows the reference column by 1 row.

Table DR100: Rule 2 Case 2b First Empty Blue specification under Analytical Depth Audit.
DR100 Drill DimensionCoordinate / RuleGMU Modality Action
DR100 Matrix CoordinateContinuing column row r = d_{k-m} + 1 stepping one row past referenceAnalytical Modality (Depth Vector Verification)
DR100 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
DR100 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}
  • DR100 Step 1: Locate Continuing column row r = d_{k-m} + 1 stepping one row past reference across the 11 columns of PPBBBPPPPBBP.
  • DR100 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 (≠).
  • DR100 Step 3: Answer "How does the depth vector [d_1..d_k] determine all three derived roads?" via computing the full column-depth vector [d_1, d_2, ..., d_k] across the shoe.
DR100 · Analytical Modality (Depth Vector Verification)

DR100 Misconception Diagnostic & Secondary Road Audit

Final checkpoint for DR100: This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=). Applying Analytical Depth Audit to Cell (k-m, r) is empty while cell (k-m, r-1) above it is populated resolves marking red when an active streak first outgrows the reference column by 1 row across 11 streaks.

Table Reality Check

Myth vs. Truth

MythIn DR100 (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
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
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