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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0863 (SEED 216040)

Rule 2 Case 3 Overhang S2-0863: 79-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0863 (seed 216040) documents a deep columns extending two or more rows past short lookback columns over 79 hands (37 Banker, 34 Player, 8 Tie). Its 41 logical columns span 41 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:4B) and produce 68 Big Eye Boy marks (30R/38B), 66 Small Road marks (33R/33B), and 65 Cockroach Pig marks (25R/40B).

Verified 8-Deck Hands
79 (S2-0863)
Outcome Split
37B / 34P / 8T
Longest Streaks
5B · 3P
Big Road Columns
41 Cols
Engine-Verified Scoreboard · 79 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 B P B P P P P B B B P B P P B P P P P P B B P P B B P P B P B B P B B P B P B B B B P B P P B
Big Eye Boy = = ≠ = = ≠ ≠ = ≠ = ≠ = ≠ ≠ = = = = ≠ ≠ ≠ ≠ ≠ = ≠ = = ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ = = = = = ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ = = = ≠ ≠ = ≠ ≠
Small Road ≠ ≠ = ≠ ≠ ≠ = = ≠ = = ≠ ≠ = = = ≠ ≠ = = = ≠ = = = ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ = = = = ≠ ≠ = ≠ = = = ≠ ≠ ≠ ≠ ≠ ≠ = = = = ≠ = ≠ = = = ≠ = ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ = ≠ = = ≠ = ≠ = ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ = ≠ ≠ = = = ≠ = = = ≠

S2-0863 (seed 216040): 79 hands (37B / 34P / 8T), max streaks 5B & 3P across 41 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)
S2-0863 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.

S2-0863 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.

S2-0863 CP Mark #4

Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

S2-0863 8-Deck Hand Count
79 Hands (37 Banker / 34 Player / 8 Tie)

Seed 216040 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:4B (ties at H13,H25,H32,H34).

S2-0863 Big Road Span & Max Streaks
Max 5B / Max 3P Across 41 Logical Cols (41 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.

S2-0863 Big Eye Boy Rule Split
68 Marks (30R / 38B · 44.1% Red Across 34 Cols)

Rule 1: 39 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 29.

S2-0863 Small Road & Cockroach Pig Split
SR: 33R/33B (50.0% Red) · CP: 25R/40B (38.5% Red)

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

S2-0863 Hand #80 Next-Hand Probe
If B -> BEB RED, SR BLUE, CP BLUE | If P -> BEB BLUE, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #79 of S2-0863.

S2-0863 SCOREBOARD STRUCTURE

S2-0863 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:4B)

Inside shoe S2-0863 (deterministic seed 216040), 79 dealt outcomes split 37 Banker, 34 Player, and 8 Tie across 41 Big Road columns (41 grid columns; opening sequence C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:4B) to illustrate 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.

Across S2-0863, top streaks of 5B and 3P and tie index set H13,H25,H32,H34 yield 39 Rule 1 marks, 0 Case 1 marks, 0 Case 2 marks, and 29 Case 3 marks on Lookback 1.

Opening 9 Big Road Columns of S2-0863 (Seed 216040)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0863-C1:H1-2S2-0863:2BS2-0863:2B/0P/+0TS2-0863:R2StopS2-0863:2vs2
S2-0863-C2:H3-4S2-0863:2PS2-0863:2B/2P/+0TS2-0863:R2StopS2-0863:2vs2
S2-0863-C3:H5-5S2-0863:1BS2-0863:3B/2P/+0TS2-0863:R1StopS2-0863:1vs2
S2-0863-C4:H6-6S2-0863:1PS2-0863:3B/3P/+0TS2-0863:R1StopS2-0863:1vs1
S2-0863-C5:H7-7S2-0863:1BS2-0863:4B/3P/+0TS2-0863:R1StopS2-0863:1vs1
S2-0863-C6:H8-9S2-0863:2PS2-0863:4B/5P/+0TS2-0863:R2StopS2-0863:2vs1
S2-0863-C7:H10-14S2-0863:4BS2-0863:8B/5P/+1TS2-0863:R4StopS2-0863:4vs2
S2-0863-C8:H15-16S2-0863:2PS2-0863:8B/7P/+0TS2-0863:R2StopS2-0863:2vs4
S2-0863-C9:H17-17S2-0863:1BS2-0863:9B/7P/+0TS2-0863:R1StopS2-0863:1vs2
  • S2-0863 BEB #6 (BLUE): This bead is at Row 2. Column 5 stopped at Row 1, one row above → blue (≠).
  • S2-0863 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0863 CP #4 (BLUE): Column 6 has 2 beads. Column 3 has 1 bead. Different depth → blue (≠).
S2-0863 DERIVED-ROAD & NEXT-HAND PROBE

S2-0863 Lookback Audit (30R/38B BEB · 33R/33B SR · 25R/40B CP)

Lookback audit S2-0863 records 30R/38B (44.1% Red) on Big Eye Boy, 33R/33B (50.0% Red) on Small Road, and 25R/40B (38.5% Red) on Cockroach Pig. After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=).

Should S2-0863 deal Hand #80, ?B records BEB RED, SR BLUE, CP BLUE while ?P records BEB BLUE, SR RED, CP RED across the three derived grids.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0863 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0863 is Blue (≠); two or more rows past the bottom is always Red (=) under Rule 2 Case 3.
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