DR287 pairs 0-Based vs 1-Based Indexing (Engine array col[k] (0-based) vs learner label Column k+1 (1-based)) with Question-Driven Modality (Socratic Inquiry): learners verify Array index col[0] corresponds to Display Column 1 on the RoadLegend, master Coordinate Index Translation Between Engine and Display Grid, and eliminate off-by-one lookup errors when translating array index k to display columns.
DR287 drill board (BBPPBBBBPPBPPPBPTBPPBPPB): 13 Big Road columns, 20 Big Eye Boy, 18 Small Road, and 14 Cockroach Pig marks.
This bead is at Row 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.
This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → 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.
This bead is at Row 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.
Engine array col[k] (0-based) vs learner label Column k+1 (1-based)
Coordinate Index Translation Between Engine and Display Grid
Array index col[0] corresponds to Display Column 1 on the RoadLegend
Off-by-one lookup errors when translating array index k to display columns
Convert cleanly between 1-based display labels and 0-based engine indices by answering three sequential checkpoints: row position, lookback m, and parity
Throughout BBPPBBBBPPBPPPBPTB (13 columns, 20 Big Eye Boy marks), lesson DR287 uses Question-Driven Socratic Drill to reinforce 0-Based vs 1-Based Indexing and Array index col[0] corresponds to Display Column 1 on the RoadLegend.
In DR287 (Question-Driven Modality (Socratic Inquiry)), mark verification begins: This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=). Counting 18 Small Road and 14 Cockroach Pig entries prevents off-by-one lookup errors when translating array index k to display columns.
| DR287 Drill Dimension | Coordinate / Rule | GMU Modality Action |
|---|---|---|
| DR287 Matrix Coordinate | Engine array col[k] (0-based) vs learner label Column k+1 (1-based) | Question-Driven Modality (Socratic Inquiry) |
| DR287 Rule & Depth | Coordinate Index Translation Between Engine and Display Grid | Array index col[0] corresponds to Display Column 1 on the RoadLegend |
| DR287 Diagnostic Target | Off-by-one lookup errors when translating array index k to display columns | Convert cleanly between 1-based display labels and 0-based engine indices |
Cross-checking mark #2 in DR287, This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=). With Question-Driven Modality (Socratic Inquiry), 0-Based vs 1-Based Indexing connects Engine array col[k] (0-based) vs learner label Column k+1 (1-based) to all 13 Big Road columns.
Enter any sequence to inspect the Big Road, Big Eye Boy, Small Road, Cockroach Pig, and next-hand previews.
About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
Train Third-Card Rule decisions, depth counting, lookback column references, and derived-road speed recognition.
Visual step-by-step breakdowns with closed captions, chapter markers, and full searchable transcripts.
Macau Cantonese, French, and mathematical table terms explained in plain English with road diagrams.
Direct answers to real student questions on dragon tails, tie handling, lookback rules, and table variants.
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.
Test any shoe sequence and inspect Rule 1 and Rule 2 derived road marks.
Review the 5-road architecture from Bead Plate and Big Road to Cockroach Pig.
Practice companion coordinate lookups, depth comparisons, and rule checks.
Practice companion coordinate lookups, depth comparisons, and rule checks.