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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0857 (SEED 160984)

Rule 2 Case 3 Overhang S2-0857: 80-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0857 (seed 160984) documents a deep columns extending two or more rows past short lookback columns over 80 hands (38 Banker, 35 Player, 7 Tie). Its 38 logical columns span 38 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B) and produce 70 Big Eye Boy marks (35R/35B), 68 Small Road marks (31R/37B), and 67 Cockroach Pig marks (20R/47B).

Verified 8-Deck Hands
80 (S2-0857)
Outcome Split
38B / 35P / 7T
Longest Streaks
6B · 4P
Big Road Columns
38 Cols
Engine-Verified Scoreboard · 80 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 B B B B B B P B B B B P B P B B P P P P B P P P B B P P B P B B B B P P B P B P P P B P P B P P B P B B P
Big Eye Boy = = ≠ = = ≠ ≠ = ≠ ≠ = = = = = ≠ = = ≠ = ≠ = ≠ = ≠ ≠ = = ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ = = ≠ = ≠ = = ≠ = ≠ = = = = ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ ≠
Small Road ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ = = ≠ = = ≠ = ≠ = = = ≠ ≠ ≠ = ≠ ≠ ≠ = = ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠ = ≠ ≠ = = = = = = ≠ ≠ = = ≠
Cockroach Pig ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = ≠ = ≠ = = = ≠ = ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠

S2-0857 (seed 160984): 80 hands (38B / 35P / 7T), max streaks 6B & 4P across 38 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)
S2-0857 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.

S2-0857 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.

S2-0857 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

S2-0857 8-Deck Hand Count
80 Hands (38 Banker / 35 Player / 7 Tie)

Seed 160984 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B (ties at H14,H16,H25,H57).

S2-0857 Big Road Span & Max Streaks
Max 6B / Max 4P Across 38 Logical Cols (38 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.

S2-0857 Big Eye Boy Rule Split
70 Marks (35R / 35B · 50.0% Red Across 42 Cols)

Rule 1: 36 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 34.

S2-0857 Small Road & Cockroach Pig Split
SR: 31R/37B (45.6% Red) · CP: 20R/47B (29.9% Red)

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

S2-0857 Hand #81 Next-Hand Probe
If B -> BEB BLUE, SR RED, CP RED | If P -> BEB RED, SR BLUE, CP BLUE

Verified via getNextRoadPredictions() at Hand #80 of S2-0857.

S2-0857 SCOREBOARD STRUCTURE

S2-0857 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B)

Big Road audit S2-0857 (seed 160984) tracks 80 hands (38 Banker, 35 Player, 7 Tie) through 38 column transitions (38 display columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B) 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 S2-0857 hand by hand confirms max streaks of 6B and 4P (tie indices H14,H16,H25,H57) and Lookback-1 totals of 36 Rule 1, 0 Case 1, 0 Case 2, and 34 Case 3.

Opening 9 Big Road Columns of S2-0857 (Seed 160984)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0857-C1:H1-2S2-0857:2BS2-0857:2B/0P/+0TS2-0857:R2StopS2-0857:2vs2
S2-0857-C2:H3-4S2-0857:2PS2-0857:2B/2P/+0TS2-0857:R2StopS2-0857:2vs2
S2-0857-C3:H5-5S2-0857:1BS2-0857:3B/2P/+0TS2-0857:R1StopS2-0857:1vs2
S2-0857-C4:H6-6S2-0857:1PS2-0857:3B/3P/+0TS2-0857:R1StopS2-0857:1vs1
S2-0857-C5:H7-7S2-0857:1BS2-0857:4B/3P/+0TS2-0857:R1StopS2-0857:1vs1
S2-0857-C6:H8-9S2-0857:2PS2-0857:4B/5P/+0TS2-0857:R2StopS2-0857:2vs1
S2-0857-C7:H10-12S2-0857:3BS2-0857:7B/5P/+0TS2-0857:R3StopS2-0857:3vs2
S2-0857-C8:H13-17S2-0857:3PS2-0857:7B/8P/+2TS2-0857:R3StopS2-0857:3vs3
S2-0857-C9:H18-23S2-0857:6BS2-0857:13B/8P/+0TS2-0857:R6StopS2-0857:6vs3
  • S2-0857 BEB #8 (RED): This bead is at Row 2. Column 6 has a bead at Row 2 too → red (=).
  • S2-0857 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0857 CP #3 (BLUE): This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).
S2-0857 DERIVED-ROAD & NEXT-HAND PROBE

S2-0857 Lookback Audit (35R/35B BEB · 31R/37B SR · 20R/47B CP)

When S2-0857 reaches the cut card, BEB shows 35R/35B (50.0% Red), SR shows 31R/37B (45.6% Red), and CP shows 20R/47B (29.9% Red). After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

Probing Hand #81 at the end of S2-0857 via getNextRoadPredictions() yields Banker -> BEB BLUE, SR RED, CP RED and Player -> BEB RED, SR BLUE, CP BLUE; each deal remains statistically independent.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0857 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0857 is Blue (≠); two or more rows past the bottom is always Red (=) under Rule 2 Case 3.
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