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GMU ANALYTICAL · DEPTH AUDIT · DR080

Rule 1 Unequal Depth Blue (≠) — Analytical Depth Audit (DR080)

DR080 pairs Rule 1 Unequal Depth Blue (≠) (New Big Road column row 1 with d_{k-1} != d_{k-1-m}) with Analytical Modality (Depth Vector Verification): 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
DR080
Big Road Streaks
11 Cols
Big Eye Boy Total
21 Marks
Small Road Total
18 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 B B P B P
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = = ≠ = ≠ = = ≠ ≠ ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ ≠ = =
Cockroach Pig = = ≠ = = = = = = ≠ ≠ ≠ = =

DR080 drill board (PPBBBPPPPBBPBBBBPPBBPBTBP): 11 Big Road columns, 21 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 #6

This bead is at Row 4. Column 2 stopped at Row 3, one row above → blue (≠).

  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 3, 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 #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

DR080 Target Coordinate
Rule 1 Unequal Depth Blue (≠)

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

DR080 Rule Classification
Analytical Depth Audit

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

DR080 Depth Comparison
11 Big Road Cols

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

DR080 Misconception Focus
Diagnostic Check

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

DR080 GMU Modality Goal
Analytical Modality (Depth Vector Verification)

Spot unequal completed column depths on a Big Road side change by computing the full column-depth vector [d_1, d_2, ..., d_k] across the shoe

DR080 · Coordinate & Rule Specification

DR080 Rule 1 Unequal Depth Blue (≠): Analytical Depth Audit Walkthrough

In DR080, Analytical Depth Audit transforms Rule 1 Unequal Depth Blue (≠) into a repeatable check of Prior column depth d_{k-1} = 3 differs from reference depth d_{k-1-m} = 1, eliminating assuming blue on row 1 signals a player outcome instead of unequal column lengths on sequence PPBBBPPPP.

Matrix comparison DR080 under Analytical Depth Audit reads: This bead is at Row 4. Column 2 stopped at Row 3, one row above → blue (≠). With 18 Small Road and 14 Cockroach Pig marks plotted, Prior column depth d_{k-1} = 3 differs from reference depth d_{k-1-m} = 1 is verified.

Table DR080: Rule 1 Unequal Depth Blue (≠) specification under Analytical Depth Audit.
DR080 Drill DimensionCoordinate / RuleGMU Modality Action
DR080 Matrix CoordinateNew Big Road column row 1 with d_{k-1} != d_{k-1-m}Analytical Modality (Depth Vector Verification)
DR080 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
DR080 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
  • DR080 Step 1: Locate New Big Road column row 1 with d_{k-1} != d_{k-1-m} across the 11 columns of PPBBBPPPPBBP.
  • DR080 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 (≠).
  • DR080 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.
DR080 · Analytical Modality (Depth Vector Verification)

DR080 Misconception Diagnostic & Secondary Road Audit

As DR080 concludes for Rule 1 Unequal Depth Blue (≠), This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=). Practicing computing the full column-depth vector [d_1, d_2, ..., d_k] across the shoe across 11 streaks answers How does the depth vector [d_1..d_k] determine all three derived roads?

Table Reality Check

Myth vs. Truth

MythIn DR080 (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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