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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0841 (SEED 14168)

Rule 2 Case 3 Overhang S2-0841: 75-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0841 (seed 14168) documents a deep columns extending two or more rows past short lookback columns over 75 hands (34 Banker, 36 Player, 5 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 67 Big Eye Boy marks (35R/32B), 65 Small Road marks (26R/39B), and 64 Cockroach Pig marks (25R/39B).

Verified 8-Deck Hands
75 (S2-0841)
Outcome Split
34B / 36P / 5T
Longest Streaks
6B · 5P
Big Road Columns
38 Cols
Engine-Verified Scoreboard · 75 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 P B P B P P P P B P B B B P P B B B B B P B B P B B B P P B B P P B P P P B B P P B P B P B P P B P P
Big Eye Boy = = ≠ = = ≠ ≠ = ≠ ≠ = = = ≠ = = ≠ = = = ≠ ≠ = ≠ = ≠ = ≠ = ≠ = = = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ = = = = ≠ = = ≠ ≠ = ≠ ≠ = ≠ ≠ = = ≠ = = = = ≠ ≠ ≠ ≠
Small Road ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = ≠ = ≠ ≠ = ≠ ≠ ≠ = = ≠ = = ≠ ≠ = ≠ = = ≠ ≠ ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = = ≠ ≠ ≠ = =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = = = ≠ = = = = ≠ ≠ ≠ ≠ = = = = ≠ ≠ = = ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ = ≠

S2-0841 (seed 14168): 75 hands (34B / 36P / 5T), max streaks 6B & 5P 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)
S2-0841 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.

S2-0841 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.

S2-0841 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

S2-0841 8-Deck Hand Count
75 Hands (34 Banker / 36 Player / 5 Tie)

Seed 14168 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B (ties at H21,H34,H48,H60).

S2-0841 Big Road Span & Max Streaks
Max 6B / Max 5P 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.

S2-0841 Big Eye Boy Rule Split
67 Marks (35R / 32B · 52.2% Red Across 36 Cols)

Rule 1: 36 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 31.

S2-0841 Small Road & Cockroach Pig Split
SR: 26R/39B (40.0% Red) · CP: 25R/39B (39.1% Red)

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

S2-0841 Hand #76 Next-Hand Probe
If B -> BEB BLUE, SR RED, CP BLUE | If P -> BEB RED, SR BLUE, CP RED

Verified via getNextRoadPredictions() at Hand #75 of S2-0841.

S2-0841 SCOREBOARD STRUCTURE

S2-0841 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B)

Shoe S2-0841 (seed 14168) completes 75 hands (34 Banker / 36 Player / 5 Tie) across 38 columns and 38 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B), demonstrating 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.

Peak runs in S2-0841 reach 6B and 5P (tie positions H21,H34,H48,H60), while Big Eye Boy logs 36 Rule 1 checks, 0 Rule 2 Case 1 checks, 0 Case 2 breaks, and 31 Case 3 overhang marks.

Opening 9 Big Road Columns of S2-0841 (Seed 14168)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0841-C1:H1-2S2-0841:2BS2-0841:2B/0P/+0TS2-0841:R2StopS2-0841:2vs2
S2-0841-C2:H3-4S2-0841:2PS2-0841:2B/2P/+0TS2-0841:R2StopS2-0841:2vs2
S2-0841-C3:H5-5S2-0841:1BS2-0841:3B/2P/+0TS2-0841:R1StopS2-0841:1vs2
S2-0841-C4:H6-6S2-0841:1PS2-0841:3B/3P/+0TS2-0841:R1StopS2-0841:1vs1
S2-0841-C5:H7-7S2-0841:1BS2-0841:4B/3P/+0TS2-0841:R1StopS2-0841:1vs1
S2-0841-C6:H8-9S2-0841:2PS2-0841:4B/5P/+0TS2-0841:R2StopS2-0841:2vs1
S2-0841-C7:H10-12S2-0841:3BS2-0841:7B/5P/+0TS2-0841:R3StopS2-0841:3vs2
S2-0841-C8:H13-15S2-0841:3PS2-0841:7B/8P/+0TS2-0841:R3StopS2-0841:3vs3
S2-0841-C9:H16-16S2-0841:1BS2-0841:8B/8P/+0TS2-0841:R1StopS2-0841:1vs3
  • S2-0841 BEB #8 (RED): This bead is at Row 2. Column 6 has a bead at Row 2 too → red (=).
  • S2-0841 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0841 CP #2 (BLUE): Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
S2-0841 DERIVED-ROAD & NEXT-HAND PROBE

S2-0841 Lookback Audit (35R/32B BEB · 26R/39B SR · 25R/39B CP)

Comparing lookback distances k=1, k=2, and k=3 in S2-0841 yields 35R/32B (52.2% Red) on BEB, 26R/39B (40.0% Red) on SR, and 25R/39B (39.1% Red) on CP. After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

After 75 hands in S2-0841, testing Hand #76 assigns BEB BLUE, SR RED, CP BLUE on a Banker win and BEB RED, SR BLUE, CP RED on a Player win.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0841 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0841 is Blue (≠); two or more rows past the bottom is always Red (=) under Rule 2 Case 3.
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