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GMU ANALYTICAL · DEPTH AUDIT · DR310

4-vs-2 Column Break Check — Analytical Depth Audit (DR310)

DR310 pairs 4-vs-2 Column Break Check (Reference column depth 2 vs active column extending to rows 3 and 4) with Analytical Modality (Depth Vector Verification): learners verify At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red), master Transition From Rule 2 Case 2b (Row 3 Blue) to Case 2c (Row 4 Red), and eliminate keeping row 4 blue after row 3 already marked the single-row break.

Drill Reference ID
DR310
Big Road Streaks
9 Cols
Big Eye Boy Total
19 Marks
Small Road Total
16 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 P P B B P B B B B P P B B P
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = = = ≠ = ≠ = =
Small Road = ≠ = ≠ = ≠ ≠ = ≠ = = ≠ ≠ ≠ = ≠
Cockroach Pig = = ≠ = = = ≠ ≠ = = ≠ ≠

DR310 drill board (PPBBBPPPPBBPBBBBBTPPBBP): 9 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 #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 2 goes down to Row 3, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

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 #1

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

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

Cockroach Pig · Mark #4

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

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

DR310 Target Coordinate
4-vs-2 Column Break Check

Reference column depth 2 vs active column extending to rows 3 and 4

DR310 Rule Classification
Analytical Depth Audit

Transition From Rule 2 Case 2b (Row 3 Blue) to Case 2c (Row 4 Red)

DR310 Depth Comparison
9 Big Road Cols

At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red)

DR310 Misconception Focus
Diagnostic Check

Keeping Row 4 blue after Row 3 already marked the single-row break

DR310 GMU Modality Goal
Analytical Modality (Depth Vector Verification)

Trace the exact flip from Blue at Row 3 to Red at Row 4 over a depth-2 column by computing the full column-depth vector [d_1, d_2, ..., d_k] across the shoe

DR310 · Coordinate & Rule Specification

DR310 4-vs-2 Column Break Check: Analytical Depth Audit Walkthrough

GMU Volgenau module DR310 links 4-vs-2 Column Break Check with Analytical Modality (Depth Vector Verification): by computing the full column-depth vector [d_1, d_2, ..., d_k] across the shoe, learners master Transition From Rule 2 Case 2b (Row 3 Blue) to Case 2c (Row 4 Red) across 9 columns.

Live engine output for DR310 under Analytical Depth Audit confirms: This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠). Alongside 16 Small Road dots and 12 Cockroach slashes, learners verify At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red).

Table DR310: 4-vs-2 Column Break Check specification under Analytical Depth Audit.
DR310 Drill DimensionCoordinate / RuleGMU Modality Action
DR310 Matrix CoordinateReference column depth 2 vs active column extending to rows 3 and 4Analytical Modality (Depth Vector Verification)
DR310 Rule & DepthTransition From Rule 2 Case 2b (Row 3 Blue) to Case 2c (Row 4 Red)At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red)
DR310 Diagnostic TargetKeeping Row 4 blue after Row 3 already marked the single-row breakTrace the exact flip from Blue at Row 3 to Red at Row 4 over a depth-2 column
  • DR310 Step 1: Locate Reference column depth 2 vs active column extending to rows 3 and 4 across the 9 columns of PPBBBPPPPBBP.
  • DR310 Step 2: Verify At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red) under Transition From Rule 2 Case 2b (Row 3 Blue) to Case 2c (Row 4 Red).
  • DR310 Step 3: Answer "How does the depth vector [d_1..d_k] determine all three derived roads?" via computing the full column-depth vector [d_1, d_2, ..., d_k] across the shoe.
DR310 · Analytical Modality (Depth Vector Verification)

DR310 Misconception Diagnostic & Secondary Road Audit

Proceeding to the second mark in DR310, This bead is at Row 2. Column 1 has a bead at Row 2 too → red (=). Across 9 Big Road columns, Analytical Depth Audit and 4-vs-2 Column Break Check ensure trace the exact flip from blue at row 3 to red at row 4 over a depth-2 column.

Table Reality Check

Myth vs. Truth

MythIn DR310 (4-vs-2 Column Break Check), keeping row 4 blue after row 3 already marked the single-row break or reading red/blue derived marks as Banker/Player outcomes.
TruthTransition From Rule 2 Case 2b (Row 3 Blue) to Case 2c (Row 4 Red) evaluates At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red); 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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