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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0859 (SEED 179336)

Rule 2 Case 3 Overhang S2-0859: 68-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0859 (seed 179336) documents a deep columns extending two or more rows past short lookback columns over 68 hands (37 Banker, 27 Player, 4 Tie). Its 36 logical columns span 36 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B) and produce 61 Big Eye Boy marks (33R/28B), 59 Small Road marks (33R/26B), and 58 Cockroach Pig marks (27R/31B).

Verified 8-Deck Hands
68 (S2-0859)
Outcome Split
37B / 27P / 4T
Longest Streaks
6B · 3P
Big Road Columns
36 Cols
Engine-Verified Scoreboard · 68 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 B B B B B P B P B P B P B P P B P B B B B B B P P B B P B P B P P P B B B P B B B P B B B P B P
Big Eye Boy = = ≠ = = ≠ ≠ = = ≠ ≠ = = = ≠ ≠ = = = = = = ≠ ≠ ≠ ≠ ≠ = = ≠ = = = ≠ = ≠ = = ≠ = = = ≠ = ≠ = = ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ ≠ ≠ ≠ ≠ = ≠ = = ≠ = ≠ = = = = = = ≠ ≠ = = = ≠ = = = = ≠ = = = ≠ ≠ ≠ = = ≠ = ≠ ≠ = = ≠ = ≠ = = ≠ ≠ = = = = ≠ ≠
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ = = ≠ ≠ = ≠ = = = = = ≠ ≠ = ≠ ≠ = ≠ = = = ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = ≠ ≠ = = ≠ ≠ ≠ = = = ≠ = ≠ ≠ ≠ = =

S2-0859 (seed 179336): 68 hands (37B / 27P / 4T), max streaks 6B & 3P across 36 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)
S2-0859 BEB Mark #2

Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

S2-0859 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.

S2-0859 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

S2-0859 8-Deck Hand Count
68 Hands (37 Banker / 27 Player / 4 Tie)

Seed 179336 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B (ties at H31,H53,H56,H67).

S2-0859 Big Road Span & Max Streaks
Max 6B / Max 3P Across 36 Logical Cols (36 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.

S2-0859 Big Eye Boy Rule Split
61 Marks (33R / 28B · 54.1% Red Across 32 Cols)

Rule 1: 34 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 27.

S2-0859 Small Road & Cockroach Pig Split
SR: 33R/26B (55.9% Red) · CP: 27R/31B (46.6% Red)

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

S2-0859 Hand #69 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP BLUE | If P -> BEB RED, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #68 of S2-0859.

S2-0859 SCOREBOARD STRUCTURE

S2-0859 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B)

Table log S2-0859 (seed 179336) resolves 68 hands into 37B, 27P, and 4T across 36 columns (36 grid columns, C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:2B), capturing 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.

Within S2-0859, max streaks hit 6B and 3P with ties logged at H31,H53,H56,H67; Big Eye Boy tallies 34 Rule 1 comparisons, 0 Case 1 matches, 0 Case 2 breaks, and 27 Case 3 marks.

Opening 9 Big Road Columns of S2-0859 (Seed 179336)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0859-C1:H1-2S2-0859:2BS2-0859:2B/0P/+0TS2-0859:R2StopS2-0859:2vs2
S2-0859-C2:H3-4S2-0859:2PS2-0859:2B/2P/+0TS2-0859:R2StopS2-0859:2vs2
S2-0859-C3:H5-5S2-0859:1BS2-0859:3B/2P/+0TS2-0859:R1StopS2-0859:1vs2
S2-0859-C4:H6-6S2-0859:1PS2-0859:3B/3P/+0TS2-0859:R1StopS2-0859:1vs1
S2-0859-C5:H7-7S2-0859:1BS2-0859:4B/3P/+0TS2-0859:R1StopS2-0859:1vs1
S2-0859-C6:H8-9S2-0859:2PS2-0859:4B/5P/+0TS2-0859:R2StopS2-0859:2vs1
S2-0859-C7:H10-11S2-0859:2BS2-0859:6B/5P/+0TS2-0859:R2StopS2-0859:2vs2
S2-0859-C8:H12-12S2-0859:1PS2-0859:6B/6P/+0TS2-0859:R1StopS2-0859:1vs2
S2-0859-C9:H13-17S2-0859:5BS2-0859:11B/6P/+0TS2-0859:R5StopS2-0859:5vs1
  • S2-0859 BEB #2 (RED): Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
  • S2-0859 SR #2 (BLUE): Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
  • S2-0859 CP #5 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
S2-0859 DERIVED-ROAD & NEXT-HAND PROBE

S2-0859 Lookback Audit (33R/28B BEB · 33R/26B SR · 27R/31B CP)

After a single Rule 2 Case 2 Blue (≠) mark at one row past the bottom, every deeper bead in the overhang records Red (=). Specifically for S2-0859, BEB tallies 33 Red and 28 Blue (54.1%), SR tallies 33 Red and 26 Blue (55.9%), and CP tallies 27 Red and 31 Blue (46.6%).

In S2-0859, Hand #69 lookback projections are BEB BLUE, SR BLUE, CP BLUE if Banker wins and BEB RED, SR RED, CP RED if Player wins.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0859 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0859 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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