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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0856 (SEED 151808)

Rule 2 Case 3 Overhang S2-0856: 77-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0856 (seed 151808) documents a deep columns extending two or more rows past short lookback columns over 77 hands (29 Banker, 45 Player, 3 Tie). Its 34 logical columns span 35 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 71 Big Eye Boy marks (39R/32B), 69 Small Road marks (40R/29B), and 68 Cockroach Pig marks (31R/37B).

Verified 8-Deck Hands
77 (S2-0856)
Outcome Split
29B / 45P / 3T
Longest Streaks
5B · 9P
Big Road Columns
34 Cols
Engine-Verified Scoreboard · 77 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 B B B B P P P P P B B P B P P P B B P P P B P P B B B P B B B B B P B P B P P B P B P P P P P P B P P P P P P P P P
Big Eye Boy = = ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ = = ≠ = = = ≠ ≠ = ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = ≠ = ≠ = = ≠ ≠ = = = ≠ ≠ ≠ = = ≠ = = = = = = ≠ ≠ ≠ = = = = =
Small Road ≠ ≠ = ≠ ≠ = = = = ≠ ≠ = = ≠ ≠ = = = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = = = ≠ = = = ≠ = ≠ = ≠ = = ≠ = ≠ ≠ ≠ = = ≠ ≠ = ≠ = ≠ = = = = = = ≠ = = = = = = =
Cockroach Pig ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = = ≠ = ≠ ≠ = = = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ = = = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ = = = = = = ≠ = = ≠ = = = =

S2-0856 (seed 151808): 77 hands (29B / 45P / 3T), max streaks 5B & 9P 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)
S2-0856 BEB Mark #7

Column 6 has 2 beads. Column 5 has 1 bead. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 5, 1 column further back.
  2. Column 6 has 2 beads. Column 5 has 1 bead. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 5.

S2-0856 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.

S2-0856 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

S2-0856 8-Deck Hand Count
77 Hands (29 Banker / 45 Player / 3 Tie)

Seed 151808 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H15,H41,H46).

S2-0856 Big Road Span & Max Streaks
Max 5B / Max 9P Across 34 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.

S2-0856 Big Eye Boy Rule Split
71 Marks (39R / 32B · 54.9% Red Across 35 Cols)

Rule 1: 32 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 39.

S2-0856 Small Road & Cockroach Pig Split
SR: 40R/29B (58.0% Red) · CP: 31R/37B (45.6% Red)

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

S2-0856 Hand #78 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP BLUE | If P -> BEB RED, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #77 of S2-0856.

S2-0856 SCOREBOARD STRUCTURE

S2-0856 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Dealing 77 hands from seed 151808, shoe S2-0856 posts 29 Banker, 45 Player, and 3 Tie outcomes across 34 columns (35 display columns; C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) in 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.

For S2-0856, peak vertical runs of 5B and 9P and tie hands H15,H41,H46 translate into 32 Rule 1, 0 Case 1, 0 Case 2, and 39 Case 3 Big Eye Boy marks.

Opening 9 Big Road Columns of S2-0856 (Seed 151808)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0856-C1:H1-2S2-0856:2BS2-0856:2B/0P/+0TS2-0856:R2StopS2-0856:2vs2
S2-0856-C2:H3-4S2-0856:2PS2-0856:2B/2P/+0TS2-0856:R2StopS2-0856:2vs2
S2-0856-C3:H5-5S2-0856:1BS2-0856:3B/2P/+0TS2-0856:R1StopS2-0856:1vs2
S2-0856-C4:H6-6S2-0856:1PS2-0856:3B/3P/+0TS2-0856:R1StopS2-0856:1vs1
S2-0856-C5:H7-7S2-0856:1BS2-0856:4B/3P/+0TS2-0856:R1StopS2-0856:1vs1
S2-0856-C6:H8-9S2-0856:2PS2-0856:4B/5P/+0TS2-0856:R2StopS2-0856:2vs1
S2-0856-C7:H10-10S2-0856:1BS2-0856:5B/5P/+0TS2-0856:R1StopS2-0856:1vs2
S2-0856-C8:H11-12S2-0856:2PS2-0856:5B/7P/+0TS2-0856:R2StopS2-0856:2vs1
S2-0856-C9:H13-13S2-0856:1BS2-0856:6B/7P/+0TS2-0856:R1StopS2-0856:1vs2
  • S2-0856 BEB #7 (BLUE): Column 6 has 2 beads. Column 5 has 1 bead. Different depth → blue (≠).
  • S2-0856 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0856 CP #2 (BLUE): Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
S2-0856 DERIVED-ROAD & NEXT-HAND PROBE

S2-0856 Lookback Audit (39R/32B BEB · 40R/29B SR · 31R/37B CP)

After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=). In S2-0856, Big Eye Boy finishes 39R/32B (54.9% Red), Small Road finishes 40R/29B (58.0% Red), and Cockroach Pig finishes 31R/37B (45.6% Red).

Evaluating getNextRoadPredictions() after Hand #77 in S2-0856 maps Banker on Hand #78 to BEB BLUE, SR BLUE, CP BLUE and Player on Hand #78 to BEB RED, SR RED, CP RED.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0856 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0856 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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