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GMU ANALYTICAL · INDEX PROOF · DR349

3-Road Consensus Audit — Analytical Coordinate Proof (DR349)

DR349 pairs 3-Road Consensus Audit (Simultaneous evaluation of m=1, m=2, and m=3 at Column 5 Row 2) with Analytical Modality (Formal Index Notation): learners verify Column 5 Row 2 checks Column 4 (m=1), Column 3 (m=2), and Column 2 (m=3), master Multi-Lookback Matrix Audit Across All Three Derived Roads, and eliminate reusing the same reference column for big eye boy, small road, and cockroach pig.

Drill Reference ID
DR349
Big Road Streaks
8 Cols
Big Eye Boy Total
18 Marks
Small Road Total
15 Dots
Engine-Verified Scoreboard · 22 Hands

Read the Board at Table Speed

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

DR349 drill board (BBPPPBBBBPPBPPPPPTBBPP): 8 Big Road columns, 18 Big Eye Boy, 15 Small Road, and 11 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 3. Column 2 has a bead at Row 3 too → red (=).

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

Small Road · Mark #5

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

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

Cockroach Pig · Mark #3

Column 5 has 1 bead. Column 2 has 3 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 3 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

DR349 Target Coordinate
3-Road Consensus Audit

Simultaneous evaluation of m=1, m=2, and m=3 at Column 5 Row 2

DR349 Rule Classification
Analytical Coordinate Proof

Multi-Lookback Matrix Audit Across All Three Derived Roads

DR349 Depth Comparison
8 Big Road Cols

Column 5 Row 2 checks Column 4 (m=1), Column 3 (m=2), and Column 2 (m=3)

DR349 Misconception Focus
Diagnostic Check

Reusing the same reference column for Big Eye Boy, Small Road, and Cockroach Pig

DR349 GMU Modality Goal
Analytical Modality (Formal Index Notation)

Audit three distinct reference columns (c4, c3, c2) from a single hand by writing out (k, r) and (k-m, r) coordinates to prove the derived output

DR349 · Coordinate & Rule Specification

DR349 3-Road Consensus Audit: Analytical Coordinate Proof Walkthrough

Built around GMU ANALYTICAL · INDEX PROOF, unit DR349 examines 3-Road Consensus Audit (Simultaneous evaluation of m=1, m=2, and m=3 at Column 5 Row 2), using 18 Big Eye Boy comparisons in BBPPPBBBB to achieve audit three distinct reference columns (c4, c3, c2) from a single hand.

Checking the first explained mark in DR349 (3-Road Consensus Audit), This bead is at Row 3. Column 2 has a bead at Row 3 too → red (=). Simultaneously, Small Road plots 15 marks and Cockroach Pig plots 11 marks while writing out (k, r) and (k-m, r) coordinates to prove the derived output.

Table DR349: 3-Road Consensus Audit specification under Analytical Coordinate Proof.
DR349 Drill DimensionCoordinate / RuleGMU Modality Action
DR349 Matrix CoordinateSimultaneous evaluation of m=1, m=2, and m=3 at Column 5 Row 2Analytical Modality (Formal Index Notation)
DR349 Rule & DepthMulti-Lookback Matrix Audit Across All Three Derived RoadsColumn 5 Row 2 checks Column 4 (m=1), Column 3 (m=2), and Column 2 (m=3)
DR349 Diagnostic TargetReusing the same reference column for Big Eye Boy, Small Road, and Cockroach PigAudit three distinct reference columns (c4, c3, c2) from a single hand
  • DR349 Step 1: Locate Simultaneous evaluation of m=1, m=2, and m=3 at Column 5 Row 2 across the 8 columns of BBPPPBBBBPPB.
  • DR349 Step 2: Verify Column 5 Row 2 checks Column 4 (m=1), Column 3 (m=2), and Column 2 (m=3) under Multi-Lookback Matrix Audit Across All Three Derived Roads.
  • DR349 Step 3: Answer "What are the exact 1-based and 0-based indices for the active comparison?" via writing out (k, r) and (k-m, r) coordinates to prove the derived output.
DR349 · Analytical Modality (Formal Index Notation)

DR349 Misconception Diagnostic & Secondary Road Audit

On the companion derived road in DR349, This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). Combining Analytical Coordinate Proof with Multi-Lookback Matrix Audit Across All Three Derived Roads keeps 8-column reading error-free.

Table Reality Check

Myth vs. Truth

MythIn DR349 (3-Road Consensus Audit), reusing the same reference column for big eye boy, small road, and cockroach pig or reading red/blue derived marks as Banker/Player outcomes.
TruthMulti-Lookback Matrix Audit Across All Three Derived Roads evaluates Column 5 Row 2 checks Column 4 (m=1), Column 3 (m=2), and Column 2 (m=3); 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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android