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GMU HANDS-ON MODALITY · BUILDER · DR074

Rule 1 Unequal Depth Blue (≠) — Hands-On Column Builder (DR074)

DR074 pairs Rule 1 Unequal Depth Blue (≠) (New Big Road column row 1 with d_{k-1} != d_{k-1-m}) with Hands-On Modality (Streak Construction): 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
DR074
Big Road Streaks
9 Cols
Big Eye Boy Total
20 Marks
Small Road Total
17 Dots
Engine-Verified Scoreboard · 23 Hands

Read the Board at Table Speed

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

DR074 drill board (PPBBBPPBBPPPPBBBBBPPPBP): 9 Big Road columns, 20 Big Eye Boy, 17 Small Road, and 15 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 2. Column 3 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 1 column 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.

Small Road · Mark #5

This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig · Mark #4

This bead is at Row 3. Column 2 has a bead at Row 3 too → red (=).

  1. Column 5 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 has a bead at Row 3 too → 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.

Verified Reference Data

Key Facts & Table Specifications

DR074 Target Coordinate
Rule 1 Unequal Depth Blue (≠)

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

DR074 Rule Classification
Hands-On Column Builder

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

DR074 Depth Comparison
9 Big Road Cols

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

DR074 Misconception Focus
Diagnostic Check

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

DR074 GMU Modality Goal
Hands-On Modality (Streak Construction)

Spot unequal completed column depths on a Big Road side change by building Big Road columns step by step and counting depth d_k aloud

DR074 · Coordinate & Rule Specification

DR074 Rule 1 Unequal Depth Blue (≠): Hands-On Column Builder Walkthrough

Verification lab DR074 pairs Hands-On Column Builder with Rule 1 Unequal Depth Blue (≠) so students test New Big Road column row 1 with d_{k-1} != d_{k-1-m} and answer: How many completed columns exist before the active lookback fires?

Scoreboard inspection DR074 (Rule 1 Unequal Depth Blue (≠) · Hands-On Column Builder) shows: This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=). Tracking 17 Small Road and 15 Cockroach Pig marks answers How many completed columns exist before the active lookback fires?

Table DR074: Rule 1 Unequal Depth Blue (≠) specification under Hands-On Column Builder.
DR074 Drill DimensionCoordinate / RuleGMU Modality Action
DR074 Matrix CoordinateNew Big Road column row 1 with d_{k-1} != d_{k-1-m}Hands-On Modality (Streak Construction)
DR074 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
DR074 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
  • DR074 Step 1: Locate New Big Road column row 1 with d_{k-1} != d_{k-1-m} across the 9 columns of PPBBBPPBBPPP.
  • DR074 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 (≠).
  • DR074 Step 3: Answer "How many completed columns exist before the active lookback fires?" via building Big Road columns step by step and counting depth d_k aloud.
DR074 · Hands-On Modality (Streak Construction)

DR074 Misconception Diagnostic & Secondary Road Audit

Second-lookback check DR074 states: This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=). By building Big Road columns step by step and counting depth d_k aloud, learners master Rule 1 Unequal Depth Blue (≠) and Prior column depth d_{k-1} = 3 differs from reference depth d_{k-1-m} = 1 over 9 columns.

Table Reality Check

Myth vs. Truth

MythIn DR074 (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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