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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0897 (SEED 528024)

Rule 2 Case 3 Overhang S2-0897: 77-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0897 (seed 528024) documents a deep columns extending two or more rows past short lookback columns over 77 hands (38 Banker, 37 Player, 2 Tie). Its 44 logical columns span 44 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B) and produce 72 Big Eye Boy marks (37R/35B), 70 Small Road marks (29R/41B), and 69 Cockroach Pig marks (29R/40B).

Verified 8-Deck Hands
77 (S2-0897)
Outcome Split
38B / 37P / 2T
Longest Streaks
4B · 5P
Big Road Columns
44 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 B B P B P B P B P B B P P P B P P B P P B B B B P P P P P B P P P P P B B B P B B P P P B P P B B P B B B P B P B B B B P B P
Big Eye Boy = = ≠ = = ≠ ≠ = ≠ ≠ ≠ = = = = = = ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ = = = = ≠ = = ≠ = = = ≠ = = ≠ ≠ ≠ ≠ = = ≠ = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = = ≠ = = ≠ ≠ =
Small Road ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ = = = = = ≠ ≠ ≠ = ≠ ≠ = ≠ = = = ≠ = = ≠ = ≠ = ≠ ≠ ≠ = ≠ = = = ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = ≠ = ≠ = = ≠ = ≠
Cockroach Pig ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ = = = = ≠ ≠ ≠ = ≠ = = = ≠ ≠ ≠ = ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ = = = ≠ ≠ = ≠ = = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ = = ≠ = =

S2-0897 (seed 528024): 77 hands (38B / 37P / 2T), max streaks 4B & 5P across 44 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)
S2-0897 BEB Mark #8

This bead is at Row 2. Column 6 has a bead at Row 2 too → red (=).

  1. Column 7 goes down to Row 2, so use Rule 2: look 1 column back, at Column 6.
  2. Column 6 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 6 stopped exactly one row above this bead.

S2-0897 SR Mark #6

This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).

  1. Column 7 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 5.
  2. Column 5 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 5 stopped exactly one row above this bead.

S2-0897 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

S2-0897 8-Deck Hand Count
77 Hands (38 Banker / 37 Player / 2 Tie)

Seed 528024 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B (ties at H40,H57).

S2-0897 Big Road Span & Max Streaks
Max 4B / Max 5P Across 44 Logical Cols (44 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.

S2-0897 Big Eye Boy Rule Split
72 Marks (37R / 35B · 51.4% Red Across 35 Cols)

Rule 1: 42 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 30.

S2-0897 Small Road & Cockroach Pig Split
SR: 29R/41B (41.4% Red) · CP: 29R/40B (42.0% Red)

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

S2-0897 Hand #78 Next-Hand Probe
If B -> BEB RED, SR RED, CP BLUE | If P -> BEB BLUE, SR BLUE, CP RED

Verified via getNextRoadPredictions() at Hand #77 of S2-0897.

S2-0897 SCOREBOARD STRUCTURE

S2-0897 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B)

Shoe S2-0897 (seed 528024) completes 77 hands (38 Banker / 37 Player / 2 Tie) across 44 columns and 44 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B), demonstrating 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.

Peak runs in S2-0897 reach 4B and 5P (tie positions H40,H57), while Big Eye Boy logs 42 Rule 1 checks, 0 Rule 2 Case 1 checks, 0 Case 2 breaks, and 30 Case 3 overhang marks.

Opening 9 Big Road Columns of S2-0897 (Seed 528024)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0897-C1:H1-2S2-0897:2BS2-0897:2B/0P/+0TS2-0897:R2StopS2-0897:2vs2
S2-0897-C2:H3-4S2-0897:2PS2-0897:2B/2P/+0TS2-0897:R2StopS2-0897:2vs2
S2-0897-C3:H5-5S2-0897:1BS2-0897:3B/2P/+0TS2-0897:R1StopS2-0897:1vs2
S2-0897-C4:H6-6S2-0897:1PS2-0897:3B/3P/+0TS2-0897:R1StopS2-0897:1vs1
S2-0897-C5:H7-7S2-0897:1BS2-0897:4B/3P/+0TS2-0897:R1StopS2-0897:1vs1
S2-0897-C6:H8-9S2-0897:2PS2-0897:4B/5P/+0TS2-0897:R2StopS2-0897:2vs1
S2-0897-C7:H10-12S2-0897:3BS2-0897:7B/5P/+0TS2-0897:R3StopS2-0897:3vs2
S2-0897-C8:H13-13S2-0897:1PS2-0897:7B/6P/+0TS2-0897:R1StopS2-0897:1vs3
S2-0897-C9:H14-14S2-0897:1BS2-0897:8B/6P/+0TS2-0897:R1StopS2-0897:1vs1
  • S2-0897 BEB #8 (RED): This bead is at Row 2. Column 6 has a bead at Row 2 too → red (=).
  • S2-0897 SR #6 (BLUE): This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).
  • S2-0897 CP #3 (BLUE): This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).
S2-0897 DERIVED-ROAD & NEXT-HAND PROBE

S2-0897 Lookback Audit (37R/35B BEB · 29R/41B SR · 29R/40B CP)

Comparing lookback distances k=1, k=2, and k=3 in S2-0897 yields 37R/35B (51.4% Red) on BEB, 29R/41B (41.4% Red) on SR, and 29R/40B (42.0% Red) on CP. After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

After 77 hands in S2-0897, testing Hand #78 assigns BEB RED, SR RED, CP BLUE on a Banker win and BEB BLUE, SR BLUE, CP RED on a Player win.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0897 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0897 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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