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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0899 (SEED 546376)

Rule 2 Case 3 Overhang S2-0899: 79-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0899 (seed 546376) documents a deep columns extending two or more rows past short lookback columns over 79 hands (45 Banker, 28 Player, 6 Tie). Its 37 logical columns span 39 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) and produce 70 Big Eye Boy marks (39R/31B), 68 Small Road marks (33R/35B), and 67 Cockroach Pig marks (33R/34B).

Verified 8-Deck Hands
79 (S2-0899)
Outcome Split
45B / 28P / 6T
Longest Streaks
8B · 5P
Big Road Columns
37 Cols
Engine-Verified Scoreboard · 79 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 B B P B B B P B P B P P B P P P P P B P P B P P B B B P B B B B B B P B B P B B B B B P B B B P B B B B B
Big Eye Boy = = ≠ = = ≠ ≠ = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ ≠ = = = ≠ ≠ = = = ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ = = ≠ = = = = = ≠ ≠ = = ≠ = = = ≠ ≠ ≠ = ≠ ≠ ≠ = = = = = =
Small Road ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ = ≠ = = ≠ ≠ = ≠ = = = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ = ≠ = ≠ = = = ≠ = = = ≠ = = = ≠ = = = =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ = = ≠ ≠ = = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ = = = ≠ ≠ = = ≠ ≠ ≠ = = = ≠ ≠ ≠ = = = = = ≠ = = ≠ ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = = = = =

S2-0899 (seed 546376): 79 hands (45B / 28P / 6T), max streaks 8B & 5P across 37 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)
S2-0899 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.

S2-0899 SR Mark #4

This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 4.
  2. Column 4 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 4 stopped exactly one row above this bead.

S2-0899 CP Mark #5

This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).

  1. Column 7 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 4.
  2. Column 4 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 4 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

S2-0899 8-Deck Hand Count
79 Hands (45 Banker / 28 Player / 6 Tie)

Seed 546376 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B (ties at H15,H31,H46,H72).

S2-0899 Big Road Span & Max Streaks
Max 8B / Max 5P Across 37 Logical Cols (39 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.

S2-0899 Big Eye Boy Rule Split
70 Marks (39R / 31B · 55.7% Red Across 31 Cols)

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

S2-0899 Small Road & Cockroach Pig Split
SR: 33R/35B (48.5% Red) · CP: 33R/34B (49.3% Red)

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

S2-0899 Hand #80 Next-Hand Probe
If B -> BEB RED, SR RED, CP RED | If P -> BEB BLUE, SR BLUE, CP BLUE

Verified via getNextRoadPredictions() at Hand #79 of S2-0899.

S2-0899 SCOREBOARD STRUCTURE

S2-0899 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B)

Big Road audit S2-0899 (seed 546376) tracks 79 hands (45 Banker, 28 Player, 6 Tie) through 37 column transitions (39 display columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) featuring 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.

Tracking S2-0899 hand by hand confirms max streaks of 8B and 5P (tie indices H15,H31,H46,H72) and Lookback-1 totals of 35 Rule 1, 0 Case 1, 0 Case 2, and 35 Case 3.

Opening 9 Big Road Columns of S2-0899 (Seed 546376)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0899-C1:H1-2S2-0899:2BS2-0899:2B/0P/+0TS2-0899:R2StopS2-0899:2vs2
S2-0899-C2:H3-4S2-0899:2PS2-0899:2B/2P/+0TS2-0899:R2StopS2-0899:2vs2
S2-0899-C3:H5-5S2-0899:1BS2-0899:3B/2P/+0TS2-0899:R1StopS2-0899:1vs2
S2-0899-C4:H6-6S2-0899:1PS2-0899:3B/3P/+0TS2-0899:R1StopS2-0899:1vs1
S2-0899-C5:H7-7S2-0899:1BS2-0899:4B/3P/+0TS2-0899:R1StopS2-0899:1vs1
S2-0899-C6:H8-9S2-0899:2PS2-0899:4B/5P/+0TS2-0899:R2StopS2-0899:2vs1
S2-0899-C7:H10-11S2-0899:2BS2-0899:6B/5P/+0TS2-0899:R2StopS2-0899:2vs2
S2-0899-C8:H12-12S2-0899:1PS2-0899:6B/6P/+0TS2-0899:R1StopS2-0899:1vs2
S2-0899-C9:H13-13S2-0899:1BS2-0899:7B/6P/+0TS2-0899:R1StopS2-0899:1vs1
  • S2-0899 BEB #2 (RED): Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
  • S2-0899 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0899 CP #5 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
S2-0899 DERIVED-ROAD & NEXT-HAND PROBE

S2-0899 Lookback Audit (39R/31B BEB · 33R/35B SR · 33R/34B CP)

When S2-0899 reaches the cut card, BEB shows 39R/31B (55.7% Red), SR shows 33R/35B (48.5% Red), and CP shows 33R/34B (49.3% Red). After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

Probing Hand #80 at the end of S2-0899 via getNextRoadPredictions() yields Banker -> BEB RED, SR RED, CP RED and Player -> BEB BLUE, SR BLUE, CP BLUE; each deal remains statistically independent.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0899 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0899 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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