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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0869 (SEED 271096)

Rule 2 Case 3 Overhang S2-0869: 74-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0869 (seed 271096) documents a deep columns extending two or more rows past short lookback columns over 74 hands (45 Banker, 25 Player, 4 Tie). Its 34 logical columns span 34 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 67 Big Eye Boy marks (34R/33B), 65 Small Road marks (30R/35B), and 64 Cockroach Pig marks (35R/29B).

Verified 8-Deck Hands
74 (S2-0869)
Outcome Split
45B / 25P / 4T
Longest Streaks
6B · 2P
Big Road Columns
34 Cols
Engine-Verified Scoreboard · 74 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 P B B P P B B B B B P B P P B B P B B B B B B P P B B B P B B B B B B B P B B B P B P P B B B B B B P B P
Big Eye Boy = = ≠ = = ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = = = ≠ = = = ≠ ≠ = ≠ ≠ = = ≠ ≠ = = = = ≠ = ≠ = ≠ ≠ = ≠ = = ≠ ≠ = = = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ = = = ≠ ≠ =
Small Road ≠ ≠ = ≠ ≠ = = = ≠ ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = = = ≠ ≠ ≠ = = ≠ = = = ≠ ≠ = ≠ = = ≠ = = = ≠ = ≠ ≠ ≠ ≠ = = = = ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ ≠ = ≠ ≠ = = = = = = ≠ = = = = = ≠ ≠ ≠ = ≠ ≠ ≠ = = ≠ = = = ≠ = = ≠ = ≠ = ≠ = = ≠ = ≠ = = ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ = = = = ≠ = ≠

S2-0869 (seed 271096): 74 hands (45B / 25P / 4T), max streaks 6B & 2P across 34 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)
S2-0869 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.

S2-0869 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.

S2-0869 CP Mark #5

Column 7 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

  1. Column 8 starts, so use Rule 1: compare Column 7 with Column 4, 3 columns further back.
  2. Column 7 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 4.

Verified Reference Data

Key Facts & Table Specifications

S2-0869 8-Deck Hand Count
74 Hands (45 Banker / 25 Player / 4 Tie)

Seed 271096 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H15,H27,H47,H52).

S2-0869 Big Road Span & Max Streaks
Max 6B / Max 2P Across 34 Logical Cols (34 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.

S2-0869 Big Eye Boy Rule Split
67 Marks (34R / 33B · 50.7% Red Across 35 Cols)

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

S2-0869 Small Road & Cockroach Pig Split
SR: 30R/35B (46.2% Red) · CP: 35R/29B (54.7% Red)

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

S2-0869 Hand #75 Next-Hand Probe
If B -> BEB RED, SR RED, CP BLUE | If P -> BEB BLUE, SR BLUE, CP RED

Verified via getNextRoadPredictions() at Hand #74 of S2-0869.

S2-0869 SCOREBOARD STRUCTURE

S2-0869 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Shoe S2-0869 (seed 271096) completes 74 hands (45 Banker / 25 Player / 4 Tie) across 34 columns and 34 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B), 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 S2-0869 reach 6B and 2P (tie positions H15,H27,H47,H52), while Big Eye Boy logs 32 Rule 1 checks, 0 Rule 2 Case 1 checks, 0 Case 2 breaks, and 35 Case 3 overhang marks.

Opening 9 Big Road Columns of S2-0869 (Seed 271096)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0869-C1:H1-2S2-0869:2BS2-0869:2B/0P/+0TS2-0869:R2StopS2-0869:2vs2
S2-0869-C2:H3-4S2-0869:2PS2-0869:2B/2P/+0TS2-0869:R2StopS2-0869:2vs2
S2-0869-C3:H5-5S2-0869:1BS2-0869:3B/2P/+0TS2-0869:R1StopS2-0869:1vs2
S2-0869-C4:H6-6S2-0869:1PS2-0869:3B/3P/+0TS2-0869:R1StopS2-0869:1vs1
S2-0869-C5:H7-7S2-0869:1BS2-0869:4B/3P/+0TS2-0869:R1StopS2-0869:1vs1
S2-0869-C6:H8-9S2-0869:2PS2-0869:4B/5P/+0TS2-0869:R2StopS2-0869:2vs1
S2-0869-C7:H10-10S2-0869:1BS2-0869:5B/5P/+0TS2-0869:R1StopS2-0869:1vs2
S2-0869-C8:H11-12S2-0869:2PS2-0869:5B/7P/+0TS2-0869:R2StopS2-0869:2vs1
S2-0869-C9:H13-15S2-0869:2BS2-0869:7B/7P/+1TS2-0869:R2StopS2-0869:2vs2
  • S2-0869 BEB #4 (RED): Column 4 has 1 bead. Column 3 has 1 bead. Same depth → red (=).
  • S2-0869 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0869 CP #5 (RED): Column 7 has 1 bead. Column 4 has 1 bead. Same depth → red (=).
S2-0869 DERIVED-ROAD & NEXT-HAND PROBE

S2-0869 Lookback Audit (34R/33B BEB · 30R/35B SR · 35R/29B CP)

Comparing lookback distances k=1, k=2, and k=3 in S2-0869 yields 34R/33B (50.7% Red) on BEB, 30R/35B (46.2% Red) on SR, and 35R/29B (54.7% 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 74 hands in S2-0869, testing Hand #75 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 S2-0869 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0869 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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