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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0895 (SEED 509672)

Rule 2 Case 3 Overhang S2-0895: 68-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0895 (seed 509672) documents a deep columns extending two or more rows past short lookback columns over 68 hands (21 Banker, 38 Player, 9 Tie). Its 26 logical columns span 28 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 56 Big Eye Boy marks (28R/28B), 54 Small Road marks (32R/22B), and 53 Cockroach Pig marks (25R/28B).

Verified 8-Deck Hands
68 (S2-0895)
Outcome Split
21B / 38P / 9T
Longest Streaks
5B · 10P
Big Road Columns
26 Cols
Engine-Verified Scoreboard · 68 Hands

Read the Board at Table Speed

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

S2-0895 (seed 509672): 68 hands (21B / 38P / 9T), max streaks 5B & 10P across 26 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)
S2-0895 BEB Mark #6

This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 1 column 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.

S2-0895 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.

S2-0895 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

S2-0895 8-Deck Hand Count
68 Hands (21 Banker / 38 Player / 9 Tie)

Seed 509672 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H15,H23,H26,H29).

S2-0895 Big Road Span & Max Streaks
Max 5B / Max 10P Across 26 Logical Cols (28 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.

S2-0895 Big Eye Boy Rule Split
56 Marks (28R / 28B · 50.0% Red Across 25 Cols)

Rule 1: 24 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 32.

S2-0895 Small Road & Cockroach Pig Split
SR: 32R/22B (59.3% Red) · CP: 25R/28B (47.2% Red)

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

S2-0895 Hand #69 Next-Hand Probe
If B -> BEB RED, SR BLUE, CP RED | If P -> BEB BLUE, SR RED, CP BLUE

Verified via getNextRoadPredictions() at Hand #68 of S2-0895.

S2-0895 SCOREBOARD STRUCTURE

S2-0895 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Across 68 8-deck deals in S2-0895 (seed 509672), the scoreboard logs 21B, 38P, and 9T in 26 logical columns (28 display columns, C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B), 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 S2-0895 stand at 5B and 10P (tie positions H15,H23,H26,H29), generating 24 Rule 1, 0 Case 1, 0 Case 2, and 32 Case 3 Big Eye Boy evaluations.

Opening 9 Big Road Columns of S2-0895 (Seed 509672)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0895-C1:H1-2S2-0895:2BS2-0895:2B/0P/+0TS2-0895:R2StopS2-0895:2vs2
S2-0895-C2:H3-4S2-0895:2PS2-0895:2B/2P/+0TS2-0895:R2StopS2-0895:2vs2
S2-0895-C3:H5-5S2-0895:1BS2-0895:3B/2P/+0TS2-0895:R1StopS2-0895:1vs2
S2-0895-C4:H6-6S2-0895:1PS2-0895:3B/3P/+0TS2-0895:R1StopS2-0895:1vs1
S2-0895-C5:H7-7S2-0895:1BS2-0895:4B/3P/+0TS2-0895:R1StopS2-0895:1vs1
S2-0895-C6:H8-9S2-0895:2PS2-0895:4B/5P/+0TS2-0895:R2StopS2-0895:2vs1
S2-0895-C7:H10-10S2-0895:1BS2-0895:5B/5P/+0TS2-0895:R1StopS2-0895:1vs2
S2-0895-C8:H11-12S2-0895:2PS2-0895:5B/7P/+0TS2-0895:R2StopS2-0895:2vs1
S2-0895-C9:H13-13S2-0895:1BS2-0895:6B/7P/+0TS2-0895:R1StopS2-0895:1vs2
  • S2-0895 BEB #6 (BLUE): This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).
  • S2-0895 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0895 CP #1 (BLUE): Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).
S2-0895 DERIVED-ROAD & NEXT-HAND PROBE

S2-0895 Lookback Audit (28R/28B BEB · 32R/22B SR · 25R/28B 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, S2-0895 closes with BEB 28R/28B (50.0% Red), SR 32R/22B (59.3% Red), and CP 25R/28B (47.2% Red).

Checking Hand #69 on S2-0895 shows that Banker and Player split derived marks into (RED/BLUE/RED) versus (BLUE/RED/BLUE).

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0895 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0895 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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