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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0878 (SEED 353680)

Rule 2 Case 3 Overhang S2-0878: 81-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0878 (seed 353680) documents a deep columns extending two or more rows past short lookback columns over 81 hands (39 Banker, 36 Player, 6 Tie). Its 40 logical columns span 40 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) and produce 72 Big Eye Boy marks (39R/33B), 70 Small Road marks (29R/41B), and 69 Cockroach Pig marks (28R/41B).

Verified 8-Deck Hands
81 (S2-0878)
Outcome Split
39B / 36P / 6T
Longest Streaks
6B · 4P
Big Road Columns
40 Cols
Engine-Verified Scoreboard · 81 Hands

Read the Board at Table Speed

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Big Road B B P P B P B P P B B P B P P P B B B B B B P P P B B P B P B B P B P B P B B B B P P P P P P B P B B B P P P B B P B P B B P P B B B B P
Big Eye Boy = = ≠ = = ≠ ≠ = = ≠ = ≠ = = ≠ = = = ≠ = ≠ = = ≠ = ≠ ≠ = = ≠ ≠ ≠ = = = = ≠ = = ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ = ≠ = = ≠ = ≠ = = ≠ = ≠ ≠ = = = ≠ ≠ ≠ =
Small Road ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = = = = ≠ = = ≠ = ≠ ≠ ≠ = ≠ ≠ = ≠ = = = ≠ = = ≠ ≠ = ≠ ≠ = = = = = ≠ ≠ = = ≠ = ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ = ≠ ≠ = = = = ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ = = ≠ = = ≠ ≠ = ≠ = = = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = = ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠

S2-0878 (seed 353680): 81 hands (39B / 36P / 6T), max streaks 6B & 4P across 40 columns.

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
S2-0878 BEB Mark #5

Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 4, 1 column further back.
  2. Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 4.

S2-0878 SR Mark #4

This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 4.
  2. Column 4 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 4 stopped exactly one row above this bead.

S2-0878 CP Mark #4

Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

S2-0878 8-Deck Hand Count
81 Hands (39 Banker / 36 Player / 6 Tie)

Seed 353680 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B (ties at H16,H48,H55,H60).

S2-0878 Big Road Span & Max Streaks
Max 6B / Max 4P Across 40 Logical Cols (40 Display Cols)

Whenever a column's current row index is at least two rows below the reference column's bottom, Rule 2 Case 3 applies.

S2-0878 Big Eye Boy Rule Split
72 Marks (39R / 33B · 54.2% Red Across 43 Cols)

Rule 1: 38 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 34.

S2-0878 Small Road & Cockroach Pig Split
SR: 29R/41B (41.4% Red) · CP: 28R/41B (40.6% Red)

After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

S2-0878 Hand #82 Next-Hand Probe
If B -> BEB RED, SR RED, CP BLUE | If P -> BEB BLUE, SR BLUE, CP RED

Verified via getNextRoadPredictions() at Hand #81 of S2-0878.

S2-0878 SCOREBOARD STRUCTURE

S2-0878 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B)

Over 81 verified hands (39B, 36P, 6T), S2-0878 (seed 353680) populates 40 logical columns (40 display columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) to document a deep columns extending two or more rows past short lookback columns. Whenever a column's current row index is at least two rows below the reference column's bottom, Rule 2 Case 3 applies.

Longest streaks of 6 Banker and 4 Player in S2-0878 (ties at H16,H48,H55,H60) break down on Lookback 1 into 38 new-column checks, 0 covered-row checks, 0 one-past-bottom breaks, and 34 deep overhang marks.

Opening 9 Big Road Columns of S2-0878 (Seed 353680)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0878-C1:H1-2S2-0878:2BS2-0878:2B/0P/+0TS2-0878:R2StopS2-0878:2vs2
S2-0878-C2:H3-4S2-0878:2PS2-0878:2B/2P/+0TS2-0878:R2StopS2-0878:2vs2
S2-0878-C3:H5-5S2-0878:1BS2-0878:3B/2P/+0TS2-0878:R1StopS2-0878:1vs2
S2-0878-C4:H6-6S2-0878:1PS2-0878:3B/3P/+0TS2-0878:R1StopS2-0878:1vs1
S2-0878-C5:H7-7S2-0878:1BS2-0878:4B/3P/+0TS2-0878:R1StopS2-0878:1vs1
S2-0878-C6:H8-9S2-0878:2PS2-0878:4B/5P/+0TS2-0878:R2StopS2-0878:2vs1
S2-0878-C7:H10-11S2-0878:2BS2-0878:6B/5P/+0TS2-0878:R2StopS2-0878:2vs2
S2-0878-C8:H12-12S2-0878:1PS2-0878:6B/6P/+0TS2-0878:R1StopS2-0878:1vs2
S2-0878-C9:H13-13S2-0878:1BS2-0878:7B/6P/+0TS2-0878:R1StopS2-0878:1vs1
  • S2-0878 BEB #5 (RED): Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).
  • S2-0878 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0878 CP #4 (BLUE): Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).
S2-0878 DERIVED-ROAD & NEXT-HAND PROBE

S2-0878 Lookback Audit (39R/33B BEB · 29R/41B SR · 28R/41B CP)

In shoe S2-0878, Red (=) repeating shares settle at 54.2% on BEB (39R/33B), 41.4% on SR (29R/41B), and 40.6% on CP (28R/41B). After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

Cut-card probe #82 for S2-0878 resolves Banker to BEB RED / SR RED / CP BLUE and Player to BEB BLUE / SR BLUE / CP RED using exact Big Road column depths.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0878 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0878 is Blue (≠); two or more rows past the bottom is always Red (=) under Rule 2 Case 3.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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