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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0844 (SEED 41696)

Rule 2 Case 3 Overhang S2-0844: 83-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0844 (seed 41696) documents a deep columns extending two or more rows past short lookback columns over 83 hands (36 Banker, 42 Player, 5 Tie). Its 32 logical columns span 32 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) and produce 75 Big Eye Boy marks (37R/38B), 73 Small Road marks (40R/33B), and 72 Cockroach Pig marks (35R/37B).

Verified 8-Deck Hands
83 (S2-0844)
Outcome Split
36B / 42P / 5T
Longest Streaks
5B · 7P
Big Road Columns
32 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 P P P B B P P P P B B P P P P P P B P B P B B B P P P P P B B P B B B B B P P P P P P B B B B B P B B P B B B B P B B B P P
Big Eye Boy = = ≠ = = ≠ ≠ = = = ≠ = = ≠ = ≠ = ≠ = ≠ = ≠ = ≠ = = = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠ = = ≠ = ≠ = ≠ ≠ ≠ = = = ≠ = = = = ≠ = ≠ = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ =
Small Road ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ = = ≠ = = = = = ≠ = = = = = ≠ = ≠ ≠ = ≠ = ≠ ≠ = ≠ ≠ = = = ≠ = ≠ ≠ = ≠ = = ≠ ≠ = = = = = ≠ = ≠ ≠ = ≠ ≠ = = ≠ = = ≠ = ≠ = = = ≠ ≠
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = = = ≠ ≠ = = = ≠ = ≠ = ≠ = ≠ = = = ≠ ≠ = = ≠ = = ≠ ≠ ≠ = = = ≠ ≠ ≠ ≠ = = = = = = ≠ = = = = ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ =

S2-0844 (seed 41696): 83 hands (36B / 42P / 5T), max streaks 5B & 7P across 32 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)
S2-0844 BEB Mark #3

Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

S2-0844 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.

S2-0844 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

S2-0844 8-Deck Hand Count
83 Hands (36 Banker / 42 Player / 5 Tie)

Seed 41696 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B (ties at H14,H18,H36,H62).

S2-0844 Big Road Span & Max Streaks
Max 5B / Max 7P Across 32 Logical Cols (32 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.

S2-0844 Big Eye Boy Rule Split
75 Marks (37R / 38B · 49.3% Red Across 45 Cols)

Rule 1: 30 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 45.

S2-0844 Small Road & Cockroach Pig Split
SR: 40R/33B (54.8% Red) · CP: 35R/37B (48.6% Red)

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

S2-0844 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 S2-0844.

S2-0844 SCOREBOARD STRUCTURE

S2-0844 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B)

Recording 36 Banker wins, 42 Player wins, and 5 Ties over 83 hands, catalog entry S2-0844 (seed 41696) maps 32 logical columns onto 32 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) as 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.

Auditing S2-0844 shows maximum runs of 5B and 7P (ties at H14,H18,H36,H62) alongside 30 Rule 1 checks, 0 Case 1 checks, 0 Case 2 checks, and 45 Case 3 checks.

Opening 9 Big Road Columns of S2-0844 (Seed 41696)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0844-C1:H1-2S2-0844:2BS2-0844:2B/0P/+0TS2-0844:R2StopS2-0844:2vs2
S2-0844-C2:H3-4S2-0844:2PS2-0844:2B/2P/+0TS2-0844:R2StopS2-0844:2vs2
S2-0844-C3:H5-5S2-0844:1BS2-0844:3B/2P/+0TS2-0844:R1StopS2-0844:1vs2
S2-0844-C4:H6-6S2-0844:1PS2-0844:3B/3P/+0TS2-0844:R1StopS2-0844:1vs1
S2-0844-C5:H7-7S2-0844:1BS2-0844:4B/3P/+0TS2-0844:R1StopS2-0844:1vs1
S2-0844-C6:H8-9S2-0844:2PS2-0844:4B/5P/+0TS2-0844:R2StopS2-0844:2vs1
S2-0844-C7:H10-11S2-0844:2BS2-0844:6B/5P/+0TS2-0844:R2StopS2-0844:2vs2
S2-0844-C8:H12-18S2-0844:5PS2-0844:6B/10P/+2TS2-0844:R5StopS2-0844:5vs2
S2-0844-C9:H19-20S2-0844:2BS2-0844:8B/10P/+0TS2-0844:R2StopS2-0844:2vs5
  • S2-0844 BEB #3 (BLUE): Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0844 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0844 CP #5 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
S2-0844 DERIVED-ROAD & NEXT-HAND PROBE

S2-0844 Lookback Audit (37R/38B BEB · 40R/33B SR · 35R/37B CP)

On the lower boards of S2-0844, Big Eye Boy marks 37R/38B (49.3% Red), Small Road marks 40R/33B (54.8% Red), and Cockroach Pig marks 35R/37B (48.6% Red). After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

Hand #84 projection table for S2-0844: Banker triggers BEB BLUE, SR BLUE, CP BLUE; Player triggers BEB RED, SR RED, CP RED.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0844 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0844 is Blue (≠); two or more rows past the bottom is always Red (=) under Rule 2 Case 3.
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