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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0892 (SEED 482144)

Rule 2 Case 3 Overhang S2-0892: 77-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0892 (seed 482144) documents a deep columns extending two or more rows past short lookback columns over 77 hands (37 Banker, 33 Player, 7 Tie). Its 37 logical columns span 37 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 67 Big Eye Boy marks (40R/27B), 65 Small Road marks (27R/38B), and 64 Cockroach Pig marks (23R/41B).

Verified 8-Deck Hands
77 (S2-0892)
Outcome Split
37B / 33P / 7T
Longest Streaks
8B · 4P
Big Road Columns
37 Cols
Engine-Verified Scoreboard · 77 Hands

Read the Board at Table Speed

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

S2-0892 (seed 482144): 77 hands (37B / 33P / 7T), max streaks 8B & 4P across 37 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)
S2-0892 BEB Mark #3

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

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

S2-0892 SR Mark #2

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

S2-0892 CP Mark #3

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

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 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 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

S2-0892 8-Deck Hand Count
77 Hands (37 Banker / 33 Player / 7 Tie)

Seed 482144 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H27,H37,H40,H50).

S2-0892 Big Road Span & Max Streaks
Max 8B / Max 4P Across 37 Logical Cols (37 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.

S2-0892 Big Eye Boy Rule Split
67 Marks (40R / 27B · 59.7% Red Across 29 Cols)

Rule 1: 35 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 32.

S2-0892 Small Road & Cockroach Pig Split
SR: 27R/38B (41.5% Red) · CP: 23R/41B (35.9% Red)

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

S2-0892 Hand #78 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP BLUE | If P -> BEB RED, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #77 of S2-0892.

S2-0892 SCOREBOARD STRUCTURE

S2-0892 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Over 77 verified hands (37B, 33P, 7T), S2-0892 (seed 482144) populates 37 logical columns (37 display columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) 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 8 Banker and 4 Player in S2-0892 (ties at H27,H37,H40,H50) break down on Lookback 1 into 35 new-column checks, 0 covered-row checks, 0 one-past-bottom breaks, and 32 deep overhang marks.

Opening 9 Big Road Columns of S2-0892 (Seed 482144)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0892-C1:H1-2S2-0892:2BS2-0892:2B/0P/+0TS2-0892:R2StopS2-0892:2vs2
S2-0892-C2:H3-4S2-0892:2PS2-0892:2B/2P/+0TS2-0892:R2StopS2-0892:2vs2
S2-0892-C3:H5-5S2-0892:1BS2-0892:3B/2P/+0TS2-0892:R1StopS2-0892:1vs2
S2-0892-C4:H6-6S2-0892:1PS2-0892:3B/3P/+0TS2-0892:R1StopS2-0892:1vs1
S2-0892-C5:H7-7S2-0892:1BS2-0892:4B/3P/+0TS2-0892:R1StopS2-0892:1vs1
S2-0892-C6:H8-9S2-0892:2PS2-0892:4B/5P/+0TS2-0892:R2StopS2-0892:2vs1
S2-0892-C7:H10-10S2-0892:1BS2-0892:5B/5P/+0TS2-0892:R1StopS2-0892:1vs2
S2-0892-C8:H11-12S2-0892:2PS2-0892:5B/7P/+0TS2-0892:R2StopS2-0892:2vs1
S2-0892-C9:H13-14S2-0892:2BS2-0892:7B/7P/+0TS2-0892:R2StopS2-0892:2vs2
  • S2-0892 BEB #3 (BLUE): Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0892 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0892 CP #3 (BLUE): This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).
S2-0892 DERIVED-ROAD & NEXT-HAND PROBE

S2-0892 Lookback Audit (40R/27B BEB · 27R/38B SR · 23R/41B CP)

In shoe S2-0892, Red (=) repeating shares settle at 59.7% on BEB (40R/27B), 41.5% on SR (27R/38B), and 35.9% on CP (23R/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 #78 for S2-0892 resolves Banker to BEB BLUE / SR BLUE / CP BLUE and Player to BEB RED / SR RED / CP RED using exact Big Road column depths.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0892 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0892 is Blue (≠); two or more rows past the bottom is always Red (=) under Rule 2 Case 3.
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