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GMU HANDS-ON MODALITY · BUILDER · DR304

4-vs-2 Column Break Check — Hands-On Column Builder (DR304)

DR304 pairs 4-vs-2 Column Break Check (Reference column depth 2 vs active column extending to rows 3 and 4) with Hands-On Modality (Streak Construction): 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
DR304
Big Road Streaks
11 Cols
Big Eye Boy Total
21 Marks
Small Road Total
18 Dots
Engine-Verified Scoreboard · 25 Hands

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

DR304 drill board (PPBBBPPBBPPPPBBBPPBBPBTBP): 11 Big Road columns, 21 Big Eye Boy, 18 Small Road, and 16 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 #5

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig · Mark #2

Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

DR304 Target Coordinate
4-vs-2 Column Break Check

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

DR304 Rule Classification
Hands-On Column Builder

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

DR304 Depth Comparison
11 Big Road Cols

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

DR304 Misconception Focus
Diagnostic Check

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

DR304 GMU Modality Goal
Hands-On Modality (Streak Construction)

Trace the exact flip from Blue at Row 3 to Red at Row 4 over a depth-2 column by building Big Road columns step by step and counting depth d_k aloud

DR304 · Coordinate & Rule Specification

DR304 4-vs-2 Column Break Check: Hands-On Column Builder Walkthrough

In DR304, Hands-On Column Builder transforms 4-vs-2 Column Break Check into a repeatable check of At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red), eliminating keeping row 4 blue after row 3 already marked the single-row break on sequence PPBBBPPBB.

Matrix comparison DR304 under Hands-On Column Builder reads: This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠). With 18 Small Road and 16 Cockroach Pig marks plotted, At Row 3, (k-m,3) is first empty (Blue); at Row 4, both 3 & 4 are empty (Red) is verified.

Table DR304: 4-vs-2 Column Break Check specification under Hands-On Column Builder.
DR304 Drill DimensionCoordinate / RuleGMU Modality Action
DR304 Matrix CoordinateReference column depth 2 vs active column extending to rows 3 and 4Hands-On Modality (Streak Construction)
DR304 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)
DR304 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
  • DR304 Step 1: Locate Reference column depth 2 vs active column extending to rows 3 and 4 across the 11 columns of PPBBBPPBBPPP.
  • DR304 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).
  • DR304 Step 3: Answer "How many completed columns exist before the active lookback fires?" via building Big Road columns step by step and counting depth d_k aloud.
DR304 · Hands-On Modality (Streak Construction)

DR304 Misconception Diagnostic & Secondary Road Audit

As DR304 concludes for 4-vs-2 Column Break Check, This bead is at Row 2. Column 3 has a bead at Row 2 too → red (=). Practicing building Big Road columns step by step and counting depth d_k aloud across 11 streaks answers How many completed columns exist before the active lookback fires?

Table Reality Check

Myth vs. Truth

MythIn DR304 (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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