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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0846 (SEED 60048)

Rule 2 Case 3 Overhang S2-0846: 71-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0846 (seed 60048) documents a deep columns extending two or more rows past short lookback columns over 71 hands (34 Banker, 33 Player, 4 Tie). Its 40 logical columns span 40 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) and produce 64 Big Eye Boy marks (35R/29B), 62 Small Road marks (29R/33B), and 61 Cockroach Pig marks (27R/34B).

Verified 8-Deck Hands
71 (S2-0846)
Outcome Split
34B / 33P / 4T
Longest Streaks
4B · 4P
Big Road Columns
40 Cols
Engine-Verified Scoreboard · 71 Hands

Read the Board at Table Speed

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Big Road B B P P B P B P P B P B B P P P B B P P P P B B B P P B B P B B B P P P B P P B P B P B P B P B B B P B P P B B P P B B B B P
Big Eye Boy = = ≠ = = ≠ ≠ ≠ = ≠ ≠ = ≠ ≠ = ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠ = = = = = ≠ = ≠ = ≠ ≠ = = ≠ ≠ ≠ = = = = = = ≠ = = ≠ ≠ = ≠ ≠ = = = = = ≠ = ≠
Small Road ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠ = = = = = = ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ = = = ≠ = ≠
Cockroach Pig ≠ ≠ ≠ ≠ = = = = ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ = ≠ = ≠ = = ≠ ≠ ≠ ≠ ≠ = = ≠ = = = = = ≠ = ≠ = = = ≠ ≠ ≠ ≠ ≠ = ≠ = ≠

S2-0846 (seed 60048): 71 hands (34B / 33P / 4T), max streaks 4B & 4P across 40 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)
S2-0846 BEB Mark #5

Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 4, 1 column further back.
  2. Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 4.

S2-0846 SR Mark #6

Column 7 has 1 bead. Column 5 has 1 bead. Same depth → red (=).

  1. Column 8 starts, so use Rule 1: compare Column 7 with Column 5, 2 columns further back.
  2. Column 7 has 1 bead. Column 5 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 7, the one that just finished, with Column 5.

S2-0846 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

S2-0846 8-Deck Hand Count
71 Hands (34 Banker / 33 Player / 4 Tie)

Seed 60048 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B (ties at H26,H34,H38,H43).

S2-0846 Big Road Span & Max Streaks
Max 4B / Max 4P Across 40 Logical Cols (40 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.

S2-0846 Big Eye Boy Rule Split
64 Marks (35R / 29B · 54.7% Red Across 36 Cols)

Rule 1: 38 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 26.

S2-0846 Small Road & Cockroach Pig Split
SR: 29R/33B (46.8% Red) · CP: 27R/34B (44.3% Red)

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

S2-0846 Hand #72 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP BLUE | If P -> BEB RED, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #71 of S2-0846.

S2-0846 SCOREBOARD STRUCTURE

S2-0846 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B)

Evaluating S2-0846 (seed 60048) over 71 hands (34B, 33P, 4T) reveals 40 Big Road columns spanning 40 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:1B) with 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.

Every column transition in S2-0846 (peak 4B/4P, ties H26,H34,H38,H43) contributes to 38 Rule 1, 0 Case 1, 0 Case 2, and 26 Case 3 marks on Big Eye Boy.

Opening 9 Big Road Columns of S2-0846 (Seed 60048)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0846-C1:H1-2S2-0846:2BS2-0846:2B/0P/+0TS2-0846:R2StopS2-0846:2vs2
S2-0846-C2:H3-4S2-0846:2PS2-0846:2B/2P/+0TS2-0846:R2StopS2-0846:2vs2
S2-0846-C3:H5-5S2-0846:1BS2-0846:3B/2P/+0TS2-0846:R1StopS2-0846:1vs2
S2-0846-C4:H6-6S2-0846:1PS2-0846:3B/3P/+0TS2-0846:R1StopS2-0846:1vs1
S2-0846-C5:H7-7S2-0846:1BS2-0846:4B/3P/+0TS2-0846:R1StopS2-0846:1vs1
S2-0846-C6:H8-9S2-0846:2PS2-0846:4B/5P/+0TS2-0846:R2StopS2-0846:2vs1
S2-0846-C7:H10-10S2-0846:1BS2-0846:5B/5P/+0TS2-0846:R1StopS2-0846:1vs2
S2-0846-C8:H11-11S2-0846:1PS2-0846:5B/6P/+0TS2-0846:R1StopS2-0846:1vs1
S2-0846-C9:H12-13S2-0846:2BS2-0846:7B/6P/+0TS2-0846:R2StopS2-0846:2vs1
  • S2-0846 BEB #5 (RED): Column 5 has 1 bead. Column 4 has 1 bead. Same depth → red (=).
  • S2-0846 SR #6 (RED): Column 7 has 1 bead. Column 5 has 1 bead. Same depth → red (=).
  • S2-0846 CP #2 (BLUE): Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
S2-0846 DERIVED-ROAD & NEXT-HAND PROBE

S2-0846 Lookback Audit (35R/29B BEB · 29R/33B SR · 27R/34B CP)

Derived-road totals for S2-0846 reach 35R/29B on Big Eye Boy (54.7% Red), 29R/33B on Small Road (46.8% Red), and 27R/34B on Cockroach Pig (44.3% Red). After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

Next-entry verification on S2-0846 (Hand #72) confirms Banker -> BEB BLUE, SR BLUE, CP BLUE versus Player -> BEB RED, SR RED, CP RED; scoreboard probes describe geometry, never card memory.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0846 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0846 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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