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GMU ANALYTICAL · INDEX PROOF · DR029

Small Road (c3,r2) Entry — Analytical Coordinate Proof (DR029)

DR029 pairs Small Road (c3,r2) Entry (Big Road col 3 row 2 vs reference col 1 row 1-2) with Analytical Modality (Formal Index Notation): learners verify Active cell (c3,r2) inspects reference cells (c1,r2) and (c1,r1), master Rule 2 Continuing-Column Check with two-column lookback m=2, and eliminate using lookback m=1 instead of m=2 when plotting small road solid dots.

Drill Reference ID
DR029
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 = = ≠ = = = ≠ ≠ = = ≠

DR029 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 #3

Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

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

DR029 Target Coordinate
Small Road (c3,r2) Entry

Big Road col 3 row 2 vs reference col 1 row 1-2

DR029 Rule Classification
Analytical Coordinate Proof

Rule 2 Continuing-Column Check with two-column lookback m=2

DR029 Depth Comparison
8 Big Road Cols

Active cell (c3,r2) inspects reference cells (c1,r2) and (c1,r1)

DR029 Misconception Focus
Diagnostic Check

Using lookback m=1 instead of m=2 when plotting Small Road solid dots

DR029 GMU Modality Goal
Analytical Modality (Formal Index Notation)

Trace two columns left from Column 3 to Column 1 before assigning red or blue by writing out (k, r) and (k-m, r) coordinates to prove the derived output

DR029 · Coordinate & Rule Specification

DR029 Small Road (c3,r2) Entry: Analytical Coordinate Proof Walkthrough

Built around GMU ANALYTICAL · INDEX PROOF, unit DR029 examines Small Road (c3,r2) Entry (Big Road col 3 row 2 vs reference col 1 row 1-2), using 18 Big Eye Boy comparisons in BBPPPBBBB to achieve trace two columns left from column 3 to column 1 before assigning red or blue.

Checking the first explained mark in DR029 (Small Road (c3,r2) Entry), Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠). 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 DR029: Small Road (c3,r2) Entry specification under Analytical Coordinate Proof.
DR029 Drill DimensionCoordinate / RuleGMU Modality Action
DR029 Matrix CoordinateBig Road col 3 row 2 vs reference col 1 row 1-2Analytical Modality (Formal Index Notation)
DR029 Rule & DepthRule 2 Continuing-Column Check with two-column lookback m=2Active cell (c3,r2) inspects reference cells (c1,r2) and (c1,r1)
DR029 Diagnostic TargetUsing lookback m=1 instead of m=2 when plotting Small Road solid dotsTrace two columns left from Column 3 to Column 1 before assigning red or blue
  • DR029 Step 1: Locate Big Road col 3 row 2 vs reference col 1 row 1-2 across the 8 columns of BBPPPBBBBPPB.
  • DR029 Step 2: Verify Active cell (c3,r2) inspects reference cells (c1,r2) and (c1,r1) under Rule 2 Continuing-Column Check with two-column lookback m=2.
  • DR029 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.
DR029 · Analytical Modality (Formal Index Notation)

DR029 Misconception Diagnostic & Secondary Road Audit

On the companion derived road in DR029, This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). Combining Analytical Coordinate Proof with Rule 2 Continuing-Column Check with two-column lookback m=2 keeps 8-column reading error-free.

Table Reality Check

Myth vs. Truth

MythIn DR029 (Small Road (c3,r2) Entry), using lookback m=1 instead of m=2 when plotting small road solid dots or reading red/blue derived marks as Banker/Player outcomes.
TruthRule 2 Continuing-Column Check with two-column lookback m=2 evaluates Active cell (c3,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
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
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