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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0893 (SEED 491320)

Rule 2 Case 3 Overhang S2-0893: 80-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0893 (seed 491320) documents a deep columns extending two or more rows past short lookback columns over 80 hands (40 Banker, 35 Player, 5 Tie). Its 42 logical columns span 42 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 72 Big Eye Boy marks (37R/35B), 70 Small Road marks (39R/31B), and 69 Cockroach Pig marks (39R/30B).

Verified 8-Deck Hands
80 (S2-0893)
Outcome Split
40B / 35P / 5T
Longest Streaks
6B · 4P
Big Road Columns
42 Cols
Engine-Verified Scoreboard · 80 Hands

Read the Board at Table Speed

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

S2-0893 (seed 491320): 80 hands (40B / 35P / 5T), max streaks 6B & 4P across 42 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)
S2-0893 BEB Mark #4

Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 3.

S2-0893 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.

S2-0893 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

S2-0893 8-Deck Hand Count
80 Hands (40 Banker / 35 Player / 5 Tie)

Seed 491320 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H21,H43,H51,H56).

S2-0893 Big Road Span & Max Streaks
Max 6B / Max 4P Across 42 Logical Cols (42 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.

S2-0893 Big Eye Boy Rule Split
72 Marks (37R / 35B · 51.4% Red Across 31 Cols)

Rule 1: 40 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 32.

S2-0893 Small Road & Cockroach Pig Split
SR: 39R/31B (55.7% Red) · CP: 39R/30B (56.5% Red)

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

S2-0893 Hand #81 Next-Hand Probe
If B -> BEB BLUE, SR RED, CP BLUE | If P -> BEB RED, SR BLUE, CP RED

Verified via getNextRoadPredictions() at Hand #80 of S2-0893.

S2-0893 SCOREBOARD STRUCTURE

S2-0893 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

In 8-deck record S2-0893 (seed 491320), 42 logical columns (42 display columns, C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) organize 80 hands (40B, 35P, 5T) around 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.

Scoreboard metrics on S2-0893 list 6B and 4P max runs (ties H21,H43,H51,H56) with 40 Rule 1, 0 Case 1, 0 Case 2, and 32 Case 3 Lookback-1 outcomes.

Opening 9 Big Road Columns of S2-0893 (Seed 491320)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0893-C1:H1-2S2-0893:2BS2-0893:2B/0P/+0TS2-0893:R2StopS2-0893:2vs2
S2-0893-C2:H3-4S2-0893:2PS2-0893:2B/2P/+0TS2-0893:R2StopS2-0893:2vs2
S2-0893-C3:H5-5S2-0893:1BS2-0893:3B/2P/+0TS2-0893:R1StopS2-0893:1vs2
S2-0893-C4:H6-6S2-0893:1PS2-0893:3B/3P/+0TS2-0893:R1StopS2-0893:1vs1
S2-0893-C5:H7-7S2-0893:1BS2-0893:4B/3P/+0TS2-0893:R1StopS2-0893:1vs1
S2-0893-C6:H8-9S2-0893:2PS2-0893:4B/5P/+0TS2-0893:R2StopS2-0893:2vs1
S2-0893-C7:H10-10S2-0893:1BS2-0893:5B/5P/+0TS2-0893:R1StopS2-0893:1vs2
S2-0893-C8:H11-11S2-0893:1PS2-0893:5B/6P/+0TS2-0893:R1StopS2-0893:1vs1
S2-0893-C9:H12-12S2-0893:1BS2-0893:6B/6P/+0TS2-0893:R1StopS2-0893:1vs1
  • S2-0893 BEB #4 (RED): Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).
  • S2-0893 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0893 CP #4 (BLUE): Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).
S2-0893 DERIVED-ROAD & NEXT-HAND PROBE

S2-0893 Lookback Audit (37R/35B BEB · 39R/31B SR · 39R/30B CP)

Across all three derived grids in S2-0893, Lookback 1 posts 37R/35B (51.4% Red), Lookback 2 posts 39R/31B (55.7% Red), and Lookback 3 posts 39R/30B (56.5% Red). After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

For hypothetical Hand #81 in S2-0893, Banker produces BEB BLUE, SR RED, and CP BLUE while Player produces BEB RED, SR BLUE, and CP RED, reflecting opposite Rule 1 and Rule 2 branches.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0893 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0893 is Blue (≠); two or more rows past the bottom is always Red (=) under Rule 2 Case 3.
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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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