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STAGE 2 · RULE 2 CASE 3 OVERHANG · S2-0875 (SEED 326152)

Rule 2 Case 3 Overhang S2-0875: 73-Hand 8-Deck Scoreboard & Derived-Road Walkthrough

Verified 8-deck shoe S2-0875 (seed 326152) documents a deep columns extending two or more rows past short lookback columns over 73 hands (37 Banker, 33 Player, 3 Tie). Its 35 logical columns span 35 display columns (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B) and produce 67 Big Eye Boy marks (32R/35B), 65 Small Road marks (33R/32B), and 64 Cockroach Pig marks (36R/28B).

Verified 8-Deck Hands
73 (S2-0875)
Outcome Split
37B / 33P / 3T
Longest Streaks
6B · 5P
Big Road Columns
35 Cols
Engine-Verified Scoreboard · 73 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 B B B B B B B B P P B B B P P P B P P B B B P B B B B B P B P P P B P P B B P P P P P B P P B P P B P B P B
Big Eye Boy = = ≠ = = ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = = = ≠ ≠ = ≠ = ≠ ≠ = = = ≠ ≠ = ≠ = = = ≠ ≠ = = = = ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ = = = ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = = = ≠ ≠
Small Road ≠ ≠ = ≠ ≠ ≠ = ≠ ≠ = ≠ = = ≠ = = = ≠ ≠ ≠ = = ≠ = ≠ ≠ ≠ = = = ≠ = ≠ ≠ = = ≠ = = ≠ = ≠ ≠ = ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠ = ≠ = = = = ≠ = =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ = ≠ = = = ≠ ≠ = = = = ≠ = = ≠ = ≠ = = ≠ ≠ = = = = = = ≠ = = = = ≠ ≠ = = = = ≠ = ≠ ≠ = ≠ ≠ = = = ≠ ≠ = = ≠ ≠ ≠ ≠ = ≠ =

S2-0875 (seed 326152): 73 hands (37B / 33P / 3T), max streaks 6B & 5P across 35 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)
S2-0875 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.

S2-0875 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.

S2-0875 CP Mark #1

Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

S2-0875 8-Deck Hand Count
73 Hands (37 Banker / 33 Player / 3 Tie)

Seed 326152 opening columns: C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B (ties at H17,H34,H47).

S2-0875 Big Road Span & Max Streaks
Max 6B / Max 5P Across 35 Logical Cols (35 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.

S2-0875 Big Eye Boy Rule Split
67 Marks (32R / 35B · 47.8% Red Across 30 Cols)

Rule 1: 33 · Rule 2 Case 1: 0 · Case 2: 0 · Case 3: 34.

S2-0875 Small Road & Cockroach Pig Split
SR: 33R/32B (50.8% Red) · CP: 36R/28B (56.3% Red)

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

S2-0875 Hand #74 Next-Hand Probe
If B -> BEB BLUE, SR BLUE, CP BLUE | If P -> BEB RED, SR RED, CP RED

Verified via getNextRoadPredictions() at Hand #73 of S2-0875.

S2-0875 SCOREBOARD STRUCTURE

S2-0875 Column Progression (C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B)

Scoreboard record S2-0875 (seed 326152) spans 73 hands (37B / 33P / 3T) and 35 logical columns (35 grid columns, C1:2B C2:2P C3:1B C4:1P C5:1B C6:2P C7:3B), centering on 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.

Lookback-1 classification for S2-0875 (max 6B, max 5P, ties H17,H34,H47) counts 33 Rule 1new-column checks, 0 Case 1 row checks, 0 Case 2 tips, and 34 Case 3 overhangs.

Opening 9 Big Road Columns of S2-0875 (Seed 326152)
Col SpanBeadsTallyGrid StopDepth Pair
S2-0875-C1:H1-2S2-0875:2BS2-0875:2B/0P/+0TS2-0875:R2StopS2-0875:2vs2
S2-0875-C2:H3-4S2-0875:2PS2-0875:2B/2P/+0TS2-0875:R2StopS2-0875:2vs2
S2-0875-C3:H5-5S2-0875:1BS2-0875:3B/2P/+0TS2-0875:R1StopS2-0875:1vs2
S2-0875-C4:H6-6S2-0875:1PS2-0875:3B/3P/+0TS2-0875:R1StopS2-0875:1vs1
S2-0875-C5:H7-7S2-0875:1BS2-0875:4B/3P/+0TS2-0875:R1StopS2-0875:1vs1
S2-0875-C6:H8-9S2-0875:2PS2-0875:4B/5P/+0TS2-0875:R2StopS2-0875:2vs1
S2-0875-C7:H10-12S2-0875:3BS2-0875:7B/5P/+0TS2-0875:R3StopS2-0875:3vs2
S2-0875-C8:H13-13S2-0875:1PS2-0875:7B/6P/+0TS2-0875:R1StopS2-0875:1vs3
S2-0875-C9:H14-15S2-0875:2BS2-0875:9B/6P/+0TS2-0875:R2StopS2-0875:2vs1
  • S2-0875 BEB #2 (RED): Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
  • S2-0875 SR #4 (BLUE): This bead is at Row 2. Column 4 stopped at Row 1, one row above → blue (≠).
  • S2-0875 CP #1 (BLUE): Column 4 has 1 bead. Column 1 has 2 beads. Different depth → blue (≠).
S2-0875 DERIVED-ROAD & NEXT-HAND PROBE

S2-0875 Lookback Audit (32R/35B BEB · 33R/32B SR · 36R/28B CP)

Every derived road in S2-0875 is verified from the Big Road columns: 32R/35B (47.8% Red) on BEB, 33R/32B (50.8% Red) on SR, and 36R/28B (56.3% 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 (=).

At Hand #74 of S2-0875, the next-hand road probe shows B -> (BLUE, BLUE, BLUE) and P -> (RED, RED, RED) across Big Eye Boy, Small Road, and Cockroach Pig without altering 8-deck probabilities.

Table Reality Check

Myth vs. Truth

MythDropping three rows past a 1-bead column in S2-0875 keeps producing Blue break marks.
TruthOnly the first bead past the reference bottom in S2-0875 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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