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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0891 (SEED 472968)

Rule 2 Case 3 Overhang S2-0891: 78-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0891 (seed 472968) documents a deep columns extending two or more rows past short lookback columns over 78 hands (34 Banker, 42 Player, 2 Tie). Its 39 logical columns span 39 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) and produce 73 Big Eye Boy marks (34R/39B), 71 Small Road marks (31R/40B), and 70 Cockroach Pig marks (33R/37B).

Verified 8-Deck Hands
78 (S2-0891)
Outcome Split
34B / 42P / 2T
Longest Streaks
5B · 6P
Big Road Columns
39 Cols
Engine-Verified Scoreboard · 78 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 B P P P P P B B P B P P B P B B P B P B B B P B P P P B B P P B P P P B P P P P B B B B B P P B B B P B P B P P P P P P B
Big Eye Boy = = ≠ = = ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ = = ≠ = ≠ ≠ = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ ≠ = = ≠ = = = ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = = = ≠
Small Road ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = = ≠ = = = ≠ = = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ = = = ≠ ≠ ≠ = = = ≠ = ≠ = = ≠ ≠ ≠ ≠ ≠ = = ≠ = = = ≠
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = = = = ≠ = = ≠ ≠ ≠ ≠ ≠ = = = = = = ≠ ≠ = = = ≠ = = = = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = = ≠ = = ≠ = ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = ≠ = = = = ≠

S2-0891 (seed 472968): 78 hands (34B / 42P / 2T), max streaks 5B & 6P across 39 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)
S2-0891 BEB Mark #2

Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

S2-0891 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.

S2-0891 CP Mark #2

Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

S2-0891 8-Deck Hand Count
78 Hands (34 Banker / 42 Player / 2 Tie)

Seed 472968 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B (ties at H40,H69).

S2-0891 Big Road Span & Max Streaks
Max 5B / Max 6P Across 39 Logical Cols (39 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.

S2-0891 Big Eye Boy Rule Split
73 Marks (34R / 39B · 46.6% Red Across 42 Cols)

Rule 1: 37 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 36.

S2-0891 Small Road & Cockroach Pig Split
SR: 31R/40B (43.7% Red) · CP: 33R/37B (47.1% Red)

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

S2-0891 Hand #79 Next-Hand Probe
If B -> BEB RED, SR BLUE, CP RED | If P -> BEB BLUE, SR RED, CP BLUE

Verified via getNextRoadPredictions() at Hand #78 of S2-0891.

S2-0891 SCOREBOARD STRUCTURE

S2-0891 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B)

Inside shoe S2-0891 (deterministic seed 472968), 78 dealt outcomes split 34 Banker, 42 Player, and 2 Tie across 39 Big Road columns (39 grid columns; opening sequence C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) to illustrate 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.

Across S2-0891, top streaks of 5B and 6P and tie index set H40,H69 yield 37 Rule 1 marks, 0 Case 1 marks, 0 Case 2 marks, and 36 Case 3 marks on Lookback 1.

Opening 9 Big Road Columns of S2-0891 (Seed 472968)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0891-C1:H1-2S2-0891:2BS2-0891:2B/0P/+0TS2-0891:R2StopS2-0891:2vs2
S2-0891-C2:H3-4S2-0891:2PS2-0891:2B/2P/+0TS2-0891:R2StopS2-0891:2vs2
S2-0891-C3:H5-5S2-0891:1BS2-0891:3B/2P/+0TS2-0891:R1StopS2-0891:1vs2
S2-0891-C4:H6-6S2-0891:1PS2-0891:3B/3P/+0TS2-0891:R1StopS2-0891:1vs1
S2-0891-C5:H7-7S2-0891:1BS2-0891:4B/3P/+0TS2-0891:R1StopS2-0891:1vs1
S2-0891-C6:H8-9S2-0891:2PS2-0891:4B/5P/+0TS2-0891:R2StopS2-0891:2vs1
S2-0891-C7:H10-11S2-0891:2BS2-0891:6B/5P/+0TS2-0891:R2StopS2-0891:2vs2
S2-0891-C8:H12-12S2-0891:1PS2-0891:6B/6P/+0TS2-0891:R1StopS2-0891:1vs2
S2-0891-C9:H13-14S2-0891:2BS2-0891:8B/6P/+0TS2-0891:R2StopS2-0891:2vs1
  • S2-0891 BEB #2 (RED): Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
  • S2-0891 SR #6 (BLUE): This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).
  • S2-0891 CP #2 (BLUE): Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
S2-0891 DERIVED-ROAD & NEXT-HAND PROBE

S2-0891 Lookback Audit (34R/39B BEB · 31R/40B SR · 33R/37B CP)

Lookback audit S2-0891 records 34R/39B (46.6% Red) on Big Eye Boy, 31R/40B (43.7% Red) on Small Road, and 33R/37B (47.1% Red) on Cockroach Pig. After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

Should S2-0891 deal Hand #79, ?B records BEB RED, SR BLUE, CP RED while ?P records BEB BLUE, SR RED, CP BLUE across the three derived grids.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0891 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0891 is Blue (≠); two or more rows past the bottom is always Red (=) under Rule 2 Case 3.
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