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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0862 (SEED 206864)

Rule 2 Case 3 Overhang S2-0862: 76-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0862 (seed 206864) documents a deep columns extending two or more rows past short lookback columns over 76 hands (34 Banker, 40 Player, 2 Tie). Its 38 logical columns span 38 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) and produce 71 Big Eye Boy marks (32R/39B), 69 Small Road marks (31R/38B), and 68 Cockroach Pig marks (33R/35B).

Verified 8-Deck Hands
76 (S2-0862)
Outcome Split
34B / 40P / 2T
Longest Streaks
5B · 4P
Big Road Columns
38 Cols
Engine-Verified Scoreboard · 76 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 P P P P B P B B B B P P P B P P B B P B B P B B P B P P P B B B B B P P B P B P B B B P P B P P B B P P P P B P P P P
Big Eye Boy = = ≠ = = ≠ ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ = = ≠ = = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = ≠ = = ≠ = ≠ = = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ = = = ≠ = ≠ ≠ ≠ = =
Small Road ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ = = ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ ≠ = = = = = = ≠ ≠ = ≠ ≠ = = = ≠ = = = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ = ≠ ≠ = = =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ = ≠ = = = = = = ≠ = ≠ = = ≠ = ≠ = = = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = = = ≠ ≠ = ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ = = ≠ = = ≠ = = ≠ ≠ = ≠ =

S2-0862 (seed 206864): 76 hands (34B / 40P / 2T), max streaks 5B & 4P across 38 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)
S2-0862 BEB Mark #5

Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 4, 1 column further back.
  2. Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 4.

S2-0862 SR Mark #2

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

S2-0862 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

S2-0862 8-Deck Hand Count
76 Hands (34 Banker / 40 Player / 2 Tie)

Seed 206864 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B (ties at H49,H55).

S2-0862 Big Road Span & Max Streaks
Max 5B / Max 4P Across 38 Logical Cols (38 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.

S2-0862 Big Eye Boy Rule Split
71 Marks (32R / 39B · 45.1% Red Across 39 Cols)

Rule 1: 36 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 35.

S2-0862 Small Road & Cockroach Pig Split
SR: 31R/38B (44.9% Red) · CP: 33R/35B (48.5% Red)

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

S2-0862 Hand #77 Next-Hand Probe
If B -> BEB BLUE, SR RED, CP BLUE | If P -> BEB RED, SR BLUE, CP RED

Verified via getNextRoadPredictions() at Hand #76 of S2-0862.

S2-0862 SCOREBOARD STRUCTURE

S2-0862 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B)

Seed 206864 generates shoe S2-0862 with 76 total hands (34B/40P/2T), forming 38 logical columns over 38 6-row display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) 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 S2-0862, Banker peaks at 5 and Player peaks at 4 (ties: H49,H55), partitioning Big Eye Boy into 36 Rule 1, 0 Case 1, 0 Case 2, and 35 Case 3 decisions.

Opening 9 Big Road Columns of S2-0862 (Seed 206864)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0862-C1:H1-2S2-0862:2BS2-0862:2B/0P/+0TS2-0862:R2StopS2-0862:2vs2
S2-0862-C2:H3-4S2-0862:2PS2-0862:2B/2P/+0TS2-0862:R2StopS2-0862:2vs2
S2-0862-C3:H5-5S2-0862:1BS2-0862:3B/2P/+0TS2-0862:R1StopS2-0862:1vs2
S2-0862-C4:H6-6S2-0862:1PS2-0862:3B/3P/+0TS2-0862:R1StopS2-0862:1vs1
S2-0862-C5:H7-7S2-0862:1BS2-0862:4B/3P/+0TS2-0862:R1StopS2-0862:1vs1
S2-0862-C6:H8-9S2-0862:2PS2-0862:4B/5P/+0TS2-0862:R2StopS2-0862:2vs1
S2-0862-C7:H10-11S2-0862:2BS2-0862:6B/5P/+0TS2-0862:R2StopS2-0862:2vs2
S2-0862-C8:H12-12S2-0862:1PS2-0862:6B/6P/+0TS2-0862:R1StopS2-0862:1vs2
S2-0862-C9:H13-13S2-0862:1BS2-0862:7B/6P/+0TS2-0862:R1StopS2-0862:1vs1
  • S2-0862 BEB #5 (RED): Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).
  • S2-0862 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0862 CP #3 (BLUE): This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).
S2-0862 DERIVED-ROAD & NEXT-HAND PROBE

S2-0862 Lookback Audit (32R/39B BEB · 31R/38B SR · 33R/35B CP)

Symmetry ratios in S2-0862 stand at 32R:39B (45.1% Red) for Lookback 1, 31R:38B (44.9% Red) for Lookback 2, and 33R:35B (48.5% 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 S2-0862 at Hand #77 outputs BEB BLUE, SR RED, CP BLUE for Banker and BEB RED, SR BLUE, CP RED for Player.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0862 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0862 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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