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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0871 (SEED 289448)

Rule 2 Case 3 Overhang S2-0871: 83-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0871 (seed 289448) documents a deep columns extending two or more rows past short lookback columns over 83 hands (40 Banker, 31 Player, 12 Tie). Its 42 logical columns span 42 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B) and produce 68 Big Eye Boy marks (33R/35B), 66 Small Road marks (21R/45B), and 65 Cockroach Pig marks (29R/36B).

Verified 8-Deck Hands
83 (S2-0871)
Outcome Split
40B / 31P / 12T
Longest Streaks
7B · 3P
Big Road Columns
42 Cols
Engine-Verified Scoreboard · 83 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 P P B P B B B P P B P B B P P P P B B P P B B P B B B B B P B P P B P B B B B B B P P B
Big Eye Boy = = ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ = = = ≠ ≠ = = ≠ = = = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ = = ≠ = = ≠ = = = = = ≠ =
Small Road ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = = = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ = = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = = = = ≠ ≠
Cockroach Pig ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ = = = = ≠ ≠ = = = ≠ = = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ = = ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ = = = = = ≠ ≠

S2-0871 (seed 289448): 83 hands (40B / 31P / 12T), max streaks 7B & 3P across 42 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)
S2-0871 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.

S2-0871 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.

S2-0871 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

S2-0871 8-Deck Hand Count
83 Hands (40 Banker / 31 Player / 12 Tie)

Seed 289448 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B (ties at H14,H16,H23,H39).

S2-0871 Big Road Span & Max Streaks
Max 7B / Max 3P Across 42 Logical Cols (42 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.

S2-0871 Big Eye Boy Rule Split
68 Marks (33R / 35B · 48.5% Red Across 35 Cols)

Rule 1: 40 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 28.

S2-0871 Small Road & Cockroach Pig Split
SR: 21R/45B (31.8% Red) · CP: 29R/36B (44.6% Red)

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

S2-0871 Hand #84 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP BLUE | If P -> BEB RED, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #83 of S2-0871.

S2-0871 SCOREBOARD STRUCTURE

S2-0871 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B)

Big Road audit S2-0871 (seed 289448) tracks 83 hands (40 Banker, 31 Player, 12 Tie) through 42 column transitions (42 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 S2-0871 hand by hand confirms max streaks of 7B and 3P (tie indices H14,H16,H23,H39) and Lookback-1 totals of 40 Rule 1, 0 Case 1, 0 Case 2, and 28 Case 3.

Opening 9 Big Road Columns of S2-0871 (Seed 289448)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0871-C1:H1-2S2-0871:2BS2-0871:2B/0P/+0TS2-0871:R2StopS2-0871:2vs2
S2-0871-C2:H3-4S2-0871:2PS2-0871:2B/2P/+0TS2-0871:R2StopS2-0871:2vs2
S2-0871-C3:H5-5S2-0871:1BS2-0871:3B/2P/+0TS2-0871:R1StopS2-0871:1vs2
S2-0871-C4:H6-6S2-0871:1PS2-0871:3B/3P/+0TS2-0871:R1StopS2-0871:1vs1
S2-0871-C5:H7-7S2-0871:1BS2-0871:4B/3P/+0TS2-0871:R1StopS2-0871:1vs1
S2-0871-C6:H8-9S2-0871:2PS2-0871:4B/5P/+0TS2-0871:R2StopS2-0871:2vs1
S2-0871-C7:H10-12S2-0871:3BS2-0871:7B/5P/+0TS2-0871:R3StopS2-0871:3vs2
S2-0871-C8:H13-14S2-0871:1PS2-0871:7B/6P/+1TS2-0871:R1StopS2-0871:1vs3
S2-0871-C9:H15-16S2-0871:1BS2-0871:8B/6P/+1TS2-0871:R1StopS2-0871:1vs1
  • S2-0871 BEB #6 (BLUE): This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).
  • S2-0871 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0871 CP #2 (BLUE): Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
S2-0871 DERIVED-ROAD & NEXT-HAND PROBE

S2-0871 Lookback Audit (33R/35B BEB · 21R/45B SR · 29R/36B CP)

When S2-0871 reaches the cut card, BEB shows 33R/35B (48.5% Red), SR shows 21R/45B (31.8% Red), and CP shows 29R/36B (44.6% Red). After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

Probing Hand #84 at the end of S2-0871 via getNextRoadPredictions() yields Banker -> BEB BLUE, SR BLUE, CP BLUE and Player -> BEB RED, SR RED, CP RED; each deal remains statistically independent.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0871 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0871 is Blue (≠); two or more rows past the bottom is always Red (=) under Rule 2 Case 3.
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