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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0896 (SEED 518848)

Rule 2 Case 3 Overhang S2-0896: 74-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0896 (seed 518848) documents a deep columns extending two or more rows past short lookback columns over 74 hands (40 Banker, 33 Player, 1 Tie). Its 36 logical columns span 36 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 70 Big Eye Boy marks (29R/41B), 68 Small Road marks (32R/36B), and 67 Cockroach Pig marks (32R/35B).

Verified 8-Deck Hands
74 (S2-0896)
Outcome Split
40B / 33P / 1T
Longest Streaks
4B · 5P
Big Road Columns
36 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 P B B B B P B B B P P B B B P B B P B B B B P P B B P P P B B B B P B B P B B P B B P P P P B P P P P P B B B P B P B P
Big Eye Boy = = ≠ = = ≠ ≠ ≠ ≠ = ≠ = = ≠ ≠ ≠ ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = = = ≠ = = ≠ ≠ = = =
Small Road ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ = = ≠ ≠ = = ≠ ≠ ≠ = = = ≠ = ≠ = = ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ = ≠ = ≠ ≠ = ≠ = = = = = ≠ ≠ ≠ = = ≠ ≠ = = = ≠ ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig ≠ ≠ ≠ ≠ = ≠ = ≠ = ≠ = ≠ = = = = = ≠ ≠ = ≠ ≠ = = ≠ ≠ = = ≠ = = ≠ ≠ = = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ = ≠ = = = ≠ = ≠ = = ≠ = ≠ ≠ =

S2-0896 (seed 518848): 74 hands (40B / 33P / 1T), max streaks 4B & 5P across 36 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)
S2-0896 BEB Mark #7

Column 6 has 2 beads. Column 5 has 1 bead. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 5, 1 column further back.
  2. Column 6 has 2 beads. Column 5 has 1 bead. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 5.

S2-0896 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.

S2-0896 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

S2-0896 8-Deck Hand Count
74 Hands (40 Banker / 33 Player / 1 Tie)

Seed 518848 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H56).

S2-0896 Big Road Span & Max Streaks
Max 4B / Max 5P Across 36 Logical Cols (36 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.

S2-0896 Big Eye Boy Rule Split
70 Marks (29R / 41B · 41.4% Red Across 31 Cols)

Rule 1: 34 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 36.

S2-0896 Small Road & Cockroach Pig Split
SR: 32R/36B (47.1% Red) · CP: 32R/35B (47.8% Red)

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

S2-0896 Hand #75 Next-Hand Probe
If B -> BEB RED, SR RED, CP RED | If P -> BEB BLUE, SR BLUE, CP BLUE

Verified via getNextRoadPredictions() at Hand #74 of S2-0896.

S2-0896 SCOREBOARD STRUCTURE

S2-0896 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Walkthrough S2-0896 (seed 518848) examines a deep columns extending two or more rows past short lookback columns across 74 verified 8-deck hands (40B, 33P, 1T) arranged into 36 logical columns and 36 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B). Whenever a column's current row index is at least two rows below the reference column's bottom, Rule 2 Case 3 applies.

Column depth extremes of 4B and 5P in S2-0896 (tie hands H56) produce 34 Rule 1 entries, 0 Rule 2 Case 1 entries, 0 Case 2 entries, and 36 Case 3 entries on Big Eye Boy.

Opening 9 Big Road Columns of S2-0896 (Seed 518848)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0896-C1:H1-2S2-0896:2BS2-0896:2B/0P/+0TS2-0896:R2StopS2-0896:2vs2
S2-0896-C2:H3-4S2-0896:2PS2-0896:2B/2P/+0TS2-0896:R2StopS2-0896:2vs2
S2-0896-C3:H5-5S2-0896:1BS2-0896:3B/2P/+0TS2-0896:R1StopS2-0896:1vs2
S2-0896-C4:H6-6S2-0896:1PS2-0896:3B/3P/+0TS2-0896:R1StopS2-0896:1vs1
S2-0896-C5:H7-7S2-0896:1BS2-0896:4B/3P/+0TS2-0896:R1StopS2-0896:1vs1
S2-0896-C6:H8-9S2-0896:2PS2-0896:4B/5P/+0TS2-0896:R2StopS2-0896:2vs1
S2-0896-C7:H10-10S2-0896:1BS2-0896:5B/5P/+0TS2-0896:R1StopS2-0896:1vs2
S2-0896-C8:H11-13S2-0896:3PS2-0896:5B/8P/+0TS2-0896:R3StopS2-0896:3vs1
S2-0896-C9:H14-17S2-0896:4BS2-0896:9B/8P/+0TS2-0896:R4StopS2-0896:4vs3
  • S2-0896 BEB #7 (BLUE): Column 6 has 2 beads. Column 5 has 1 bead. Different depth → blue (≠).
  • S2-0896 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0896 CP #2 (BLUE): Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
S2-0896 DERIVED-ROAD & NEXT-HAND PROBE

S2-0896 Lookback Audit (29R/41B BEB · 32R/36B SR · 32R/35B CP)

Final derived-road splits in S2-0896 are BEB 29R/41B (41.4% Red), SR 32R/36B (47.1% Red), and CP 32R/35B (47.8% Red). After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

Running the ?B and ?P probe at Hand #75 of S2-0896 returns BEB RED, SR RED, CP RED for ?B and BEB BLUE, SR BLUE, CP BLUE for ?P.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0896 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0896 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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