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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0876 (SEED 335328)

Rule 2 Case 3 Overhang S2-0876: 72-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0876 (seed 335328) documents a deep columns extending two or more rows past short lookback columns over 72 hands (27 Banker, 39 Player, 6 Tie). Its 34 logical columns span 34 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B) and produce 63 Big Eye Boy marks (31R/32B), 61 Small Road marks (24R/37B), and 60 Cockroach Pig marks (30R/30B).

Verified 8-Deck Hands
72 (S2-0876)
Outcome Split
27B / 39P / 6T
Longest Streaks
3B · 6P
Big Road Columns
34 Cols
Engine-Verified Scoreboard · 72 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B P B P P B B B P B P P P B P P P B B P P P P P B B B P B P P B P B P P P B B P P B B P P P P P P B P P P P B P
Big Eye Boy = = ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = = ≠ = = ≠ = ≠ ≠ ≠ = ≠ = = = ≠ = ≠ ≠ ≠ = = ≠ = = ≠ = = ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠ ≠ = = ≠ ≠
Small Road ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ = = = ≠ ≠ ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ = = = = ≠ ≠ = = = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ = = = = ≠ = = ≠ = = = ≠ ≠ ≠ = = = = ≠ ≠ = ≠ = ≠ = = ≠ ≠ = = ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ = = = = ≠ = = ≠ = ≠ ≠

S2-0876 (seed 335328): 72 hands (27B / 39P / 6T), max streaks 3B & 6P 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)
S2-0876 BEB Mark #3

Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

S2-0876 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.

S2-0876 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

S2-0876 8-Deck Hand Count
72 Hands (27 Banker / 39 Player / 6 Tie)

Seed 335328 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B (ties at H22,H25,H31,H49).

S2-0876 Big Road Span & Max Streaks
Max 3B / Max 6P 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.

S2-0876 Big Eye Boy Rule Split
63 Marks (31R / 32B · 49.2% Red Across 36 Cols)

Rule 1: 32 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 31.

S2-0876 Small Road & Cockroach Pig Split
SR: 24R/37B (39.3% Red) · CP: 30R/30B (50.0% Red)

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

S2-0876 Hand #73 Next-Hand Probe
If B -> BEB RED, SR BLUE, CP RED | If P -> BEB BLUE, SR RED, CP BLUE

Verified via getNextRoadPredictions() at Hand #72 of S2-0876.

S2-0876 SCOREBOARD STRUCTURE

S2-0876 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B)

Seed 335328 generates shoe S2-0876 with 72 total hands (27B/39P/6T), forming 34 logical columns over 34 6-row display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B) 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.

In S2-0876, Banker peaks at 3 and Player peaks at 6 (ties: H22,H25,H31,H49), partitioning Big Eye Boy into 32 Rule 1, 0 Case 1, 0 Case 2, and 31 Case 3 decisions.

Opening 9 Big Road Columns of S2-0876 (Seed 335328)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0876-C1:H1-2S2-0876:2BS2-0876:2B/0P/+0TS2-0876:R2StopS2-0876:2vs2
S2-0876-C2:H3-4S2-0876:2PS2-0876:2B/2P/+0TS2-0876:R2StopS2-0876:2vs2
S2-0876-C3:H5-5S2-0876:1BS2-0876:3B/2P/+0TS2-0876:R1StopS2-0876:1vs2
S2-0876-C4:H6-6S2-0876:1PS2-0876:3B/3P/+0TS2-0876:R1StopS2-0876:1vs1
S2-0876-C5:H7-7S2-0876:1BS2-0876:4B/3P/+0TS2-0876:R1StopS2-0876:1vs1
S2-0876-C6:H8-9S2-0876:2PS2-0876:4B/5P/+0TS2-0876:R2StopS2-0876:2vs1
S2-0876-C7:H10-12S2-0876:3BS2-0876:7B/5P/+0TS2-0876:R3StopS2-0876:3vs2
S2-0876-C8:H13-13S2-0876:1PS2-0876:7B/6P/+0TS2-0876:R1StopS2-0876:1vs3
S2-0876-C9:H14-14S2-0876:1BS2-0876:8B/6P/+0TS2-0876:R1StopS2-0876:1vs1
  • S2-0876 BEB #3 (BLUE): Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0876 SR #6 (BLUE): This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).
  • S2-0876 CP #2 (BLUE): Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
S2-0876 DERIVED-ROAD & NEXT-HAND PROBE

S2-0876 Lookback Audit (31R/32B BEB · 24R/37B SR · 30R/30B CP)

Symmetry ratios in S2-0876 stand at 31R:32B (49.2% Red) for Lookback 1, 24R:37B (39.3% Red) for Lookback 2, and 30R:30B (50.0% Red) for Lookback 3. After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

Final next-hand audit on S2-0876 at Hand #73 outputs BEB RED, SR BLUE, CP RED for Banker and BEB BLUE, SR RED, CP BLUE for Player.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0876 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0876 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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