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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0865 (SEED 234392)

Rule 2 Case 3 Overhang S2-0865: 84-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0865 (seed 234392) documents a deep columns extending two or more rows past short lookback columns over 84 hands (36 Banker, 38 Player, 10 Tie). Its 35 logical columns span 35 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) and produce 71 Big Eye Boy marks (35R/36B), 69 Small Road marks (34R/35B), and 68 Cockroach Pig marks (29R/39B).

Verified 8-Deck Hands
84 (S2-0865)
Outcome Split
36B / 38P / 10T
Longest Streaks
6B · 7P
Big Road Columns
35 Cols
Engine-Verified Scoreboard · 84 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 P P B P P P P P B B P B B P P P P B B P B P B B P B B B B B P P B B B P B B B B P P P P P P B P P P P B
Big Eye Boy = = ≠ = = ≠ ≠ = = = ≠ = ≠ ≠ ≠ = = = ≠ = ≠ ≠ ≠ ≠ = ≠ = ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ = = = = ≠ ≠ = ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ = = = = ≠ = ≠ = = ≠ =
Small Road ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ = = = ≠ ≠ ≠ ≠ ≠ = = ≠ = = ≠ = = ≠ ≠ = ≠ ≠ = = ≠ = = = ≠ = ≠ ≠ ≠ ≠ = = ≠ = = = = ≠ ≠ = ≠ ≠ = = = = = ≠ = = = ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ = ≠ = = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = = = = ≠ ≠ = = ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ = = = = ≠ = = = ≠ ≠ ≠ = = ≠ ≠

S2-0865 (seed 234392): 84 hands (36B / 38P / 10T), max streaks 6B & 7P across 35 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)
S2-0865 BEB Mark #8

This bead is at Row 2. Column 6 has a bead at Row 2 too → red (=).

  1. Column 7 goes down to Row 2, so use Rule 2: look 1 column back, at Column 6.
  2. Column 6 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 6 stopped exactly one row above this bead.

S2-0865 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.

S2-0865 CP Mark #1

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

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

S2-0865 8-Deck Hand Count
84 Hands (36 Banker / 38 Player / 10 Tie)

Seed 234392 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B (ties at H13,H42,H49,H52).

S2-0865 Big Road Span & Max Streaks
Max 6B / Max 7P Across 35 Logical Cols (35 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.

S2-0865 Big Eye Boy Rule Split
71 Marks (35R / 36B · 49.3% Red Across 41 Cols)

Rule 1: 33 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 38.

S2-0865 Small Road & Cockroach Pig Split
SR: 34R/35B (49.3% Red) · CP: 29R/39B (42.6% Red)

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

S2-0865 Hand #85 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP RED | If P -> BEB RED, SR RED, CP BLUE

Verified via getNextRoadPredictions() at Hand #84 of S2-0865.

S2-0865 SCOREBOARD STRUCTURE

S2-0865 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B)

In 8-deck record S2-0865 (seed 234392), 35 logical columns (35 display columns, C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) organize 84 hands (36B, 38P, 10T) 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.

Scoreboard metrics on S2-0865 list 6B and 7P max runs (ties H13,H42,H49,H52) with 33 Rule 1, 0 Case 1, 0 Case 2, and 38 Case 3 Lookback-1 outcomes.

Opening 9 Big Road Columns of S2-0865 (Seed 234392)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0865-C1:H1-2S2-0865:2BS2-0865:2B/0P/+0TS2-0865:R2StopS2-0865:2vs2
S2-0865-C2:H3-4S2-0865:2PS2-0865:2B/2P/+0TS2-0865:R2StopS2-0865:2vs2
S2-0865-C3:H5-5S2-0865:1BS2-0865:3B/2P/+0TS2-0865:R1StopS2-0865:1vs2
S2-0865-C4:H6-6S2-0865:1PS2-0865:3B/3P/+0TS2-0865:R1StopS2-0865:1vs1
S2-0865-C5:H7-7S2-0865:1BS2-0865:4B/3P/+0TS2-0865:R1StopS2-0865:1vs1
S2-0865-C6:H8-9S2-0865:2PS2-0865:4B/5P/+0TS2-0865:R2StopS2-0865:2vs1
S2-0865-C7:H10-11S2-0865:2BS2-0865:6B/5P/+0TS2-0865:R2StopS2-0865:2vs2
S2-0865-C8:H12-16S2-0865:4PS2-0865:6B/9P/+1TS2-0865:R4StopS2-0865:4vs2
S2-0865-C9:H17-17S2-0865:1BS2-0865:7B/9P/+0TS2-0865:R1StopS2-0865:1vs4
  • S2-0865 BEB #8 (RED): This bead is at Row 2. Column 6 has a bead at Row 2 too → red (=).
  • S2-0865 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0865 CP #1 (BLUE): Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).
S2-0865 DERIVED-ROAD & NEXT-HAND PROBE

S2-0865 Lookback Audit (35R/36B BEB · 34R/35B SR · 29R/39B CP)

Across all three derived grids in S2-0865, Lookback 1 posts 35R/36B (49.3% Red), Lookback 2 posts 34R/35B (49.3% Red), and Lookback 3 posts 29R/39B (42.6% Red). After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

For hypothetical Hand #85 in S2-0865, Banker produces BEB BLUE, SR BLUE, and CP RED while Player produces BEB RED, SR RED, and CP BLUE, reflecting opposite Rule 1 and Rule 2 branches.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0865 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0865 is Blue (≠); two or more rows past the bottom is always Red (=) under Rule 2 Case 3.
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