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GMU ANALYTICAL · INDEX PROOF · DR049

Cockroach Pig (c4,r2) Start — Analytical Coordinate Proof (DR049)

DR049 pairs Cockroach Pig (c4,r2) Start (Big Road col 4 row 2 vs reference col 1 row 1-2) with Analytical Modality (Formal Index Notation): learners verify Active cell (c4,r2) inspects reference cells (c1,r2) and (c1,r1), master Rule 2 Continuing-Column Check with three-column lookback m=3, and eliminate plotting cockroach pig slashes before four big road columns exist.

Drill Reference ID
DR049
Big Road Streaks
8 Cols
Big Eye Boy Total
19 Marks
Small Road Total
16 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 P P B B B P
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = = = = ≠ = = ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ = = = ≠ ≠ = ≠
Cockroach Pig = = ≠ = = = ≠ = ≠ = ≠ ≠

DR049 drill board (BBPPPBBBBPPBPPPPPPBBBP): 8 Big Road columns, 19 Big Eye Boy, 16 Small Road, and 12 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

DR049 Target Coordinate
Cockroach Pig (c4,r2) Start

Big Road col 4 row 2 vs reference col 1 row 1-2

DR049 Rule Classification
Analytical Coordinate Proof

Rule 2 Continuing-Column Check with three-column lookback m=3

DR049 Depth Comparison
8 Big Road Cols

Active cell (c4,r2) inspects reference cells (c1,r2) and (c1,r1)

DR049 Misconception Focus
Diagnostic Check

Plotting Cockroach Pig slashes before four Big Road columns exist

DR049 GMU Modality Goal
Analytical Modality (Formal Index Notation)

Count three columns left from Column 4 to Column 1 at Row 2 by writing out (k, r) and (k-m, r) coordinates to prove the derived output

DR049 · Coordinate & Rule Specification

DR049 Cockroach Pig (c4,r2) Start: Analytical Coordinate Proof Walkthrough

Under Analytical Coordinate Proof (DR049), Cockroach Pig (c4,r2) Start isolates Big Road col 4 row 2 vs reference col 1 row 1-2 and Active cell (c4,r2) inspects reference cells (c1,r2) and (c1,r1), turning BBPPPBBBB-PPBPPPPPP into a hands-on 19-mark verification.

Applying Rule 2 Continuing-Column Check with three-column lookback m=3 in DR049, This bead is at Row 3. Column 2 has a bead at Row 3 too → red (=). Those 16 Small Road dots and 12 Cockroach Pig slashes accompany Big Road col 4 row 2 vs reference col 1 row 1-2 during writing out (k, r) and (k-m, r) coordinates to prove the derived output.

Table DR049: Cockroach Pig (c4,r2) Start specification under Analytical Coordinate Proof.
DR049 Drill DimensionCoordinate / RuleGMU Modality Action
DR049 Matrix CoordinateBig Road col 4 row 2 vs reference col 1 row 1-2Analytical Modality (Formal Index Notation)
DR049 Rule & DepthRule 2 Continuing-Column Check with three-column lookback m=3Active cell (c4,r2) inspects reference cells (c1,r2) and (c1,r1)
DR049 Diagnostic TargetPlotting Cockroach Pig slashes before four Big Road columns existCount three columns left from Column 4 to Column 1 at Row 2
  • DR049 Step 1: Locate Big Road col 4 row 2 vs reference col 1 row 1-2 across the 8 columns of BBPPPBBBBPPB.
  • DR049 Step 2: Verify Active cell (c4,r2) inspects reference cells (c1,r2) and (c1,r1) under Rule 2 Continuing-Column Check with three-column lookback m=3.
  • DR049 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.
DR049 · Analytical Modality (Formal Index Notation)

DR049 Misconception Diagnostic & Secondary Road Audit

Inside DR049 (GMU ANALYTICAL · INDEX PROOF), This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). Every step of Rule 2 Continuing-Column Check with three-column lookback m=3 and Active cell (c4,r2) inspects reference cells (c1,r2) and (c1,r1) holds across 8 columns.

Table Reality Check

Myth vs. Truth

MythIn DR049 (Cockroach Pig (c4,r2) Start), plotting cockroach pig slashes before four big road columns exist or reading red/blue derived marks as Banker/Player outcomes.
TruthRule 2 Continuing-Column Check with three-column lookback m=3 evaluates Active cell (c4,r2) inspects reference cells (c1,r2) and (c1,r1); 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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