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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0867 (SEED 252744)

Rule 2 Case 3 Overhang S2-0867: 65-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0867 (seed 252744) documents a deep columns extending two or more rows past short lookback columns over 65 hands (29 Banker, 33 Player, 3 Tie). Its 32 logical columns span 32 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B) and produce 59 Big Eye Boy marks (32R/27B), 57 Small Road marks (32R/25B), and 56 Cockroach Pig marks (24R/32B).

Verified 8-Deck Hands
65 (S2-0867)
Outcome Split
29B / 33P / 3T
Longest Streaks
6B · 7P
Big Road Columns
32 Cols
Engine-Verified Scoreboard · 65 Hands

Read the Board at Table Speed

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Big Road B B P P B P B P P B B B P P B B B B B B P B P B B B P P B P P B P P B B P P P P P P B B B P P B P B P P P P P B P B P
Big Eye Boy = = ≠ = = ≠ ≠ = ≠ ≠ = ≠ = ≠ = = = ≠ = ≠ ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = = = = = ≠ = = = ≠ ≠ = = = ≠ = = = ≠ ≠ = =
Small Road ≠ ≠ = ≠ ≠ ≠ = ≠ = = = = ≠ = = ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = = = = = ≠ = ≠ = = = = = ≠ ≠ = = ≠ ≠ ≠ = = ≠ = = = ≠ = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = = = = ≠ ≠ = = ≠ = ≠ ≠ = ≠ = = = ≠ = = ≠

S2-0867 (seed 252744): 65 hands (29B / 33P / 3T), max streaks 6B & 7P across 32 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)
S2-0867 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.

S2-0867 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.

S2-0867 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

S2-0867 8-Deck Hand Count
65 Hands (29 Banker / 33 Player / 3 Tie)

Seed 252744 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B (ties at H22,H39,H49).

S2-0867 Big Road Span & Max Streaks
Max 6B / Max 7P Across 32 Logical Cols (32 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.

S2-0867 Big Eye Boy Rule Split
59 Marks (32R / 27B · 54.2% Red Across 31 Cols)

Rule 1: 30 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 29.

S2-0867 Small Road & Cockroach Pig Split
SR: 32R/25B (56.1% Red) · CP: 24R/32B (42.9% Red)

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

S2-0867 Hand #66 Next-Hand Probe
If B -> BEB RED, SR RED, CP RED | If P -> BEB BLUE, SR BLUE, CP BLUE

Verified via getNextRoadPredictions() at Hand #65 of S2-0867.

S2-0867 SCOREBOARD STRUCTURE

S2-0867 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B)

Across 65 8-deck deals in S2-0867 (seed 252744), the scoreboard logs 29B, 33P, and 3T in 32 logical columns (32 display columns, C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B), showcasing 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.

Streak ceilings in S2-0867 stand at 6B and 7P (tie positions H22,H39,H49), generating 30 Rule 1, 0 Case 1, 0 Case 2, and 29 Case 3 Big Eye Boy evaluations.

Opening 9 Big Road Columns of S2-0867 (Seed 252744)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0867-C1:H1-2S2-0867:2BS2-0867:2B/0P/+0TS2-0867:R2StopS2-0867:2vs2
S2-0867-C2:H3-4S2-0867:2PS2-0867:2B/2P/+0TS2-0867:R2StopS2-0867:2vs2
S2-0867-C3:H5-5S2-0867:1BS2-0867:3B/2P/+0TS2-0867:R1StopS2-0867:1vs2
S2-0867-C4:H6-6S2-0867:1PS2-0867:3B/3P/+0TS2-0867:R1StopS2-0867:1vs1
S2-0867-C5:H7-7S2-0867:1BS2-0867:4B/3P/+0TS2-0867:R1StopS2-0867:1vs1
S2-0867-C6:H8-9S2-0867:2PS2-0867:4B/5P/+0TS2-0867:R2StopS2-0867:2vs1
S2-0867-C7:H10-12S2-0867:3BS2-0867:7B/5P/+0TS2-0867:R3StopS2-0867:3vs2
S2-0867-C8:H13-14S2-0867:2PS2-0867:7B/7P/+0TS2-0867:R2StopS2-0867:2vs3
S2-0867-C9:H15-20S2-0867:6BS2-0867:13B/7P/+0TS2-0867:R6StopS2-0867:6vs2
  • S2-0867 BEB #2 (RED): Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
  • S2-0867 SR #6 (BLUE): This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).
  • S2-0867 CP #3 (BLUE): This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).
S2-0867 DERIVED-ROAD & NEXT-HAND PROBE

S2-0867 Lookback Audit (32R/27B BEB · 32R/25B SR · 24R/32B CP)

After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=). Consequently, S2-0867 closes with BEB 32R/27B (54.2% Red), SR 32R/25B (56.1% Red), and CP 24R/32B (42.9% Red).

Checking Hand #66 on S2-0867 shows that Banker and Player split derived marks into (RED/RED/RED) versus (BLUE/BLUE/BLUE).

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0867 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0867 is Blue (≠); two or more rows past the bottom is always Red (=) under Rule 2 Case 3.
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