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GMU ANALYTICAL · INDEX PROOF · DR039

Small Road (c4,r1) Switch — Analytical Coordinate Proof (DR039)

DR039 pairs Small Road (c4,r1) Switch (Big Road col 4 row 1 comparing col 3 vs col 1) with Analytical Modality (Formal Index Notation): learners verify Completed depth d_3 compared against completed depth d_1, master Rule 1 New-Column Depth Check with two-column lookback m=2, and eliminate comparing column 3 against column 2 instead of skipping back to column 1.

Drill Reference ID
DR039
Big Road Streaks
10 Cols
Big Eye Boy Total
20 Marks
Small Road Total
17 Dots
Engine-Verified Scoreboard · 24 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 B P
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = = ≠ = ≠ = = ≠ ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig = = ≠ = = = = = = ≠ ≠ ≠ =

DR039 drill board (BBPPPBBBBPPBPPPPBBPPBPPT): 10 Big Road columns, 20 Big Eye Boy, 17 Small Road, and 13 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 #1

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

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

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 #1

This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

DR039 Target Coordinate
Small Road (c4,r1) Switch

Big Road col 4 row 1 comparing col 3 vs col 1

DR039 Rule Classification
Analytical Coordinate Proof

Rule 1 New-Column Depth Check with two-column lookback m=2

DR039 Depth Comparison
10 Big Road Cols

Completed depth d_3 compared against completed depth d_1

DR039 Misconception Focus
Diagnostic Check

Comparing Column 3 against Column 2 instead of skipping back to Column 1

DR039 GMU Modality Goal
Analytical Modality (Formal Index Notation)

Verify whether completed Column 3 matches the total depth of Column 1 by writing out (k, r) and (k-m, r) coordinates to prove the derived output

DR039 · Coordinate & Rule Specification

DR039 Small Road (c4,r1) Switch: Analytical Coordinate Proof Walkthrough

Study drill DR039 (Analytical Coordinate Proof) structures Small Road (c4,r1) Switch around What are the exact 1-based and 0-based indices for the active comparison? while tracing 20 Big Eye Boy marks across BBPPPBBBBPPBPPPPBB.

In drill DR039 (Small Road (c4,r1) Switch), This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=). Observing 17 Small Road dots and 13 Cockroach Pig slashes under Analytical Modality (Formal Index Notation) completes verify whether completed column 3 matches the total depth of column 1.

Table DR039: Small Road (c4,r1) Switch specification under Analytical Coordinate Proof.
DR039 Drill DimensionCoordinate / RuleGMU Modality Action
DR039 Matrix CoordinateBig Road col 4 row 1 comparing col 3 vs col 1Analytical Modality (Formal Index Notation)
DR039 Rule & DepthRule 1 New-Column Depth Check with two-column lookback m=2Completed depth d_3 compared against completed depth d_1
DR039 Diagnostic TargetComparing Column 3 against Column 2 instead of skipping back to Column 1Verify whether completed Column 3 matches the total depth of Column 1
  • DR039 Step 1: Locate Big Road col 4 row 1 comparing col 3 vs col 1 across the 10 columns of BBPPPBBBBPPB.
  • DR039 Step 2: Verify Completed depth d_3 compared against completed depth d_1 under Rule 1 New-Column Depth Check with two-column lookback m=2.
  • DR039 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.
DR039 · Analytical Modality (Formal Index Notation)

DR039 Misconception Diagnostic & Secondary Road Audit

Secondary road verification for DR039 (Analytical Coordinate Proof) adds: This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). This proves how Big Road col 4 row 1 comparing col 3 vs col 1 and Completed depth d_3 compared against completed depth d_1 work across 10 streaks.

Table Reality Check

Myth vs. Truth

MythIn DR039 (Small Road (c4,r1) Switch), comparing column 3 against column 2 instead of skipping back to column 1 or reading red/blue derived marks as Banker/Player outcomes.
TruthRule 1 New-Column Depth Check with two-column lookback m=2 evaluates Completed depth d_3 compared against completed depth d_1; derived road colors reflect structural symmetry only and never alter independent shoe probabilities.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • 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